eqF20f = (-2*cap*(23595*(-207036 + 3010527*lu1 + 244386639*lu1^2 - 1935730548*lu1^3 - 80860968882*lu1^4 + 276757725351*lu1^5 + 8012535500531*lu1^6 + 6866909755198*lu1^7 - 3767688902996*lu1^8 + 366819359271136*lu1^9 + 619980067029616*lu1^10 + 109697566994464*lu1^11 - 82735508180800*lu1^12 + 6685249401600*lu1^13)*f20[t]^3 + 429*Sqrt[5]* (-87291432 + 1258316775*lu1 + 96968901897*lu1^2 - 770679067842*lu1^3 - 27537523638306*lu1^4 + 118583416811859*lu1^5 + 2152791801938045*lu1^6 + 3437399462471544*lu1^7 + 6191211067791396*lu1^8 + 9269322860533248*lu1^9 + 16994253913839216*lu1^10 + 38822877985303680*lu1^11 + 34870184354104000*lu1^12 + 9830732441376000*lu1^13)*f20[t]^2* f40[t] - 2*(143*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]^2* (2*Sqrt[5]*(7436232 - 43063785*lu1 - 3020563119*lu1^2 + 17680543152*lu1^3 + 231215811170*lu1^4 + 120552875979*lu1^5 + 404947509465*lu1^6 + 242825692422*lu1^7 + 3097129898364*lu1^8 + 2709906156120*lu1^9 + 575168545600*lu1^10)*f40[t] - 5*Sqrt[14]*(2844936 - 18167031*lu1 - 995339940*lu1^2 + 4209527370*lu1^3 + 75880075828*lu1^4 + 19296657417*lu1^5 + 275991140328*lu1^6 + 107769265260*lu1^7 - 78518118120*lu1^8 + 693551751936*lu1^9 + 408291831200*lu1^10)*f44[t]) + 143*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22[t]^2* (2*Sqrt[5]*(7436232 - 43063785*lu1 - 3020563119*lu1^2 + 17680543152*lu1^3 + 231215811170*lu1^4 + 120552875979*lu1^5 + 404947509465*lu1^6 + 242825692422*lu1^7 + 3097129898364*lu1^8 + 2709906156120*lu1^9 + 575168545600*lu1^10)*f40[t] + 5*Sqrt[14]*(2844936 - 18167031*lu1 - 995339940*lu1^2 + 4209527370*lu1^3 + 75880075828*lu1^4 + 19296657417*lu1^5 + 275991140328*lu1^6 + 107769265260*lu1^7 - 78518118120*lu1^8 + 693551751936*lu1^9 + 408291831200*lu1^10)*f44[t]) + 30*Sqrt[3]*f22n[t]*(Sqrt[5]*(2078587386 - 56812816575*lu1 - 1921231167744*lu1^2 + 39725813261565*lu1^3 + 494010282282818* lu1^4 - 2197570750610137*lu1^5 - 41510918243582316*lu1^6 - 102673954334380953*lu1^7 + 52476451979551160*lu1^8 + 199876681332958276*lu1^9 + 24191438603721672*lu1^10 + 237631385109701568*lu1^11 + 500819251351464160*lu1^12 + 184894928332217600*lu1^13)*f40[t]*f42n[t] + Sqrt[14]*(-2267025246 + 30759602193*lu1 + 2294337870804*lu1^2 - 15872415372439*lu1^3 - 484890537110670*lu1^4 + 1767738230790031*lu1^5 + 29203278178473096*lu1^6 + 55496385808509923*lu1^7 + 23300428052923032*lu1^8 + 138721311449683940*lu1^9 + 213174491990074696*lu1^10 + 65212477378941440*lu1^11 + 73532407921016800*lu1^12 + 30974154661856000*lu1^13)*(f42n[t]*f44[t] - f42[t]*f44n[t])) + 10*f22[t]*(3*Sqrt[15]*(2078587386 - 56812816575*lu1 - 1921231167744*lu1^2 + 39725813261565*lu1^3 + 494010282282818* lu1^4 - 2197570750610137*lu1^5 - 41510918243582316*lu1^6 - 102673954334380953*lu1^7 + 52476451979551160*lu1^8 + 199876681332958276*lu1^9 + 24191438603721672*lu1^10 + 237631385109701568*lu1^11 + 500819251351464160*lu1^12 + 184894928332217600*lu1^13)*f40[t]*f42[t] - Sqrt[14]*(3*Sqrt[3]*(-2267025246 + 30759602193*lu1 + 2294337870804*lu1^2 - 15872415372439*lu1^3 - 484890537110670* lu1^4 + 1767738230790031*lu1^5 + 29203278178473096*lu1^6 + 55496385808509923*lu1^7 + 23300428052923032*lu1^8 + 138721311449683940*lu1^9 + 213174491990074696*lu1^10 + 65212477378941440*lu1^11 + 73532407921016800*lu1^12 + 30974154661856000*lu1^13)*f42[t]*f44[t] + (-143*(-25604424 + 376873479*lu1 + 27640951191*lu1^2 - 214253933616*lu1^3 - 7548234713382*lu1^4 + 25980724573767* lu1^5 + 572510376226211*lu1^6 + 856825560948162*lu1^7 + 2131724047241748*lu1^8 + 3297369555026256*lu1^9 + 490891105643280*lu1^10 + 4191880120052256*lu1^11 + 9285242430523840*lu1^12 + 3772616520288000*lu1^13)* f22n[t] + 3*Sqrt[3]*(-2267025246 + 30759602193*lu1 + 2294337870804*lu1^2 - 15872415372439*lu1^3 - 484890537110670*lu1^4 + 1767738230790031*lu1^5 + 29203278178473096*lu1^6 + 55496385808509923*lu1^7 + 23300428052923032*lu1^8 + 138721311449683940*lu1^9 + 213174491990074696*lu1^10 + 65212477378941440*lu1^11 + 73532407921016800*lu1^12 + 30974154661856000*lu1^13)* f42n[t])*f44n[t])) - 9*(-4155801228 + 48905063577*lu1 + 3832549391097*lu1^2 - 19235319068412*lu1^3 - 519494416449470* lu1^4 + 411914242977265*lu1^5 + 7500453803415509*lu1^6 + 37264160965963234*lu1^7 + 107458773975482876*lu1^8 + 146095912942566880*lu1^9 + 115840836509126672*lu1^10 + 80855839485858400*lu1^11 + 34002239415185600*lu1^12 + 3486239100512000*lu1^13)*(5*Sqrt[5]*f40[t]^3 - 5*Sqrt[14]*(f42[t]^2*f44[t] - f42n[t]^2*f44[t] + 2*f42[t]*f42n[ t]*f44n[t]) - Sqrt[5]*f40[t]*(11*f42[t]^2 + 11*f42n[t]^2 + 14*(f44[t]^2 + f44n[t]^2)))) + 10*f20[t]* (4719*(-207036 + 3010527*lu1 + 244386639*lu1^2 - 1935730548*lu1^3 - 80860968882*lu1^4 + 276757725351*lu1^5 + 8012535500531*lu1^6 + 6866909755198*lu1^7 - 3767688902996*lu1^8 + 366819359271136* lu1^9 + 619980067029616*lu1^10 + 109697566994464*lu1^11 - 82735508180800*lu1^12 + 6685249401600*lu1^13)*f22[t]^2 + 4719*(-207036 + 3010527*lu1 + 244386639*lu1^2 - 1935730548*lu1^3 - 80860968882*lu1^4 + 276757725351*lu1^5 + 8012535500531*lu1^6 + 6866909755198*lu1^7 - 3767688902996*lu1^8 + 366819359271136* lu1^9 + 619980067029616*lu1^10 + 109697566994464*lu1^11 - 82735508180800*lu1^12 + 6685249401600*lu1^13)*f22n[t]^2 - 143*Sqrt[3]*(-36082584 + 504569817*lu1 + 41686999515*lu1^2 - 342171200610*lu1^3 - 12441054211542*lu1^4 + 66621967664325* lu1^5 + 1007771049485623*lu1^6 + 1723748340575220*lu1^7 + 1927762973307900*lu1^8 + 2674583750480736*lu1^9 + 16012471702552656*lu1^10 + 30439117745199168*lu1^11 + 16299699493056320*lu1^12 + 2285499400800000*lu1^13)*f22[t]* f42[t] - 143*Sqrt[3]*(-36082584 + 504569817*lu1 + 41686999515*lu1^2 - 342171200610*lu1^3 - 12441054211542*lu1^4 + 66621967664325*lu1^5 + 1007771049485623*lu1^6 + 1723748340575220*lu1^7 + 1927762973307900*lu1^8 + 2674583750480736*lu1^9 + 16012471702552656*lu1^10 + 30439117745199168*lu1^11 + 16299699493056320*lu1^12 + 2285499400800000*lu1^13)*f22n[t]*f42n[t] - 3*((16141645980 - 247533288309*lu1 - 15613816323357*lu1^2 + 138559504954080*lu1^3 + 2909467545586890*lu1^4 - 13413583490699541*lu1^5 - 170772576818669601*lu1^6 - 438981648504099094*lu1^7 - 597632896686323080*lu1^8 - 1584317902085740240*lu1^9 - 1686464006359987312*lu1^10 + 963309364894502624*lu1^11 + 1799699097253005440*lu1^12 + 535360332819379200*lu1^13)*f40[t]^2 + 2*((5798703978 - 128654989227*lu1 - 5009465877444*lu1^2 + 85023684194949*lu1^3 + 734299937467986*lu1^4 - 5781135842009481*lu1^5 - 48588555064372584*lu1^6 - 224631088760207713*lu1^7 - 435948310423813792*lu1^8 - 706123505975180848*lu1^9 - 549154344459303904*lu1^10 + 1483898409966221360*lu1^11 + 2561358677351941760*lu1^12 + 836645841043286400*lu1^13)*f42[t]^2 + (5798703978 - 128654989227*lu1 - 5009465877444*lu1^2 + 85023684194949* lu1^3 + 734299937467986*lu1^4 - 5781135842009481*lu1^5 - 48588555064372584*lu1^6 - 224631088760207713*lu1^7 - 435948310423813792*lu1^8 - 706123505975180848*lu1^9 - 549154344459303904*lu1^10 + 1483898409966221360*lu1^11 + 2561358677351941760*lu1^12 + 836645841043286400*lu1^13)* f42n[t]^2 + 7*(443544012 + 2169138285*lu1 - 423872743959* lu1^2 - 4033597278276*lu1^3 - 3890701799082*lu1^4 - 216808078071291*lu1^5 + 5910001778213805*lu1^6 + 5075624560653362*lu1^7 - 97880138352315352*lu1^8 - 252540573105080464*lu1^9 - 159930692314418320*lu1^10 + 63721805957460320*lu1^11 + 73976938137380480*lu1^12 + 10514001686899200*lu1^13)*(f44[t]^2 + f44n[t]^2))))))/ (231231*(-3 + 13*lu1 + 38*lu1^2)^3*(-1 + 7*lu1 + 170*lu1^2)^2* (-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*Pi) + (mar*(28314*(838836 - 24698925*lu1 - 522929736*lu1^2 + 13937397381*lu1^3 + 16950777678*lu1^4 - 404170381507*lu1^5 + 2259314626540*lu1^6 - 141647252707397*lu1^7 - 596299984910678* lu1^8 + 522603170092576*lu1^9 + 1961438478246832*lu1^10 + 1497036075586160*lu1^11 + 1659597392272800*lu1^12 + 853044114384000*lu1^13)*f20[t]^3 - 927786169440*Sqrt[5]*f40[t]^3 + 18758293622280*Sqrt[5]*lu1*f40[t]^3 + 795318962835600*Sqrt[5]*lu1^2* f40[t]^3 - 12793095777547800*Sqrt[5]*lu1^3*f40[t]^3 - 72668777522740560*Sqrt[5]*lu1^4*f40[t]^3 + 1302392122892423640* Sqrt[5]*lu1^5*f40[t]^3 - 492658838848293840*Sqrt[5]*lu1^6*f40[t]^3 - 16923232043539792200*Sqrt[5]*lu1^7*f40[t]^3 - 19667180023665094800* Sqrt[5]*lu1^8*f40[t]^3 + 25663436466224993280*Sqrt[5]*lu1^9* f40[t]^3 + 80750118653954893440*Sqrt[5]*lu1^10*f40[t]^3 + 87289201931948899200*Sqrt[5]*lu1^11*f40[t]^3 + 43458224730962400000* Sqrt[5]*lu1^12*f40[t]^3 + 7848077527866240000*Sqrt[5]*lu1^13* f40[t]^3 - 124116484356*Sqrt[15]*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) + 3982150466100*Sqrt[15]*lu1* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) + 92464451725716*Sqrt[15]*lu1^2*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) - 3227943235469436*Sqrt[15]*lu1^3* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) + 4003002786926892*Sqrt[15]*lu1^4*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) + 267686485231227132*Sqrt[15]*lu1^5* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) - 1208710014347605380*Sqrt[15]*lu1^6*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) - 21796962409402891668*Sqrt[15]*lu1^7* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) - 64671481642996759032*Sqrt[15]*lu1^8*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) - 34701027164952627936*Sqrt[15]*lu1^9* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) + 20403311292845811648*Sqrt[15]*lu1^10*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) - 50286165577569301440*Sqrt[15]*lu1^11* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) - 66857776366689398400*Sqrt[15]*lu1^12*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) - 3752083363479360000*Sqrt[15]*lu1^13* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) + 2041129572768*Sqrt[5]*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) - 41268245969016*Sqrt[5]*lu1*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 1749701718238320*Sqrt[5]* lu1^2*f40[t]*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 28144810710605160*Sqrt[5]*lu1^3*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) + 159871310550029232*Sqrt[5]*lu1^4*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 2865262670363332008* Sqrt[5]*lu1^5*f40[t]*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 1083849445466246448*Sqrt[5]*lu1^6*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) + 37231110495787542840*Sqrt[5]*lu1^7*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 43267796052063208560* Sqrt[5]*lu1^8*f40[t]*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 56459560225694985216*Sqrt[5]*lu1^9*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) - 177650261038700765568*Sqrt[5]*lu1^10*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 192036244250287578240* Sqrt[5]*lu1^11*f40[t]*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 95608094408117280000*Sqrt[5]*lu1^12*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) - 17265770561305728000*Sqrt[5]*lu1^13*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 463893084720*Sqrt[14]* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 9379146811140*Sqrt[14]* lu1*(f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 397659481417800*Sqrt[14]*lu1^2*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) + 6396547888773900*Sqrt[14]*lu1^3* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) + 36334388761370280*Sqrt[14]*lu1^4*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) - 651196061446211820*Sqrt[14]*lu1^5* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) + 246329419424146920*Sqrt[14]*lu1^6*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) + 8461616021769896100*Sqrt[14]*lu1^7* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) + 9833590011832547400* Sqrt[14]*lu1^8*(f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 12831718233112496640*Sqrt[14]*lu1^9*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) - 40375059326977446720*Sqrt[14]*lu1^10* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 43644600965974449600* Sqrt[14]*lu1^11*(f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 21729112365481200000*Sqrt[14]*lu1^12*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) - 3924038763933120000*Sqrt[14]*lu1^13* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 18567780660*Sqrt[14]* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 376352982720*Sqrt[14]* lu1*(f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 12195659155680*Sqrt[14]*lu1^2*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) - 53281637966700*Sqrt[14]*lu1^3* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) - 851879496081900*Sqrt[14]*lu1^4*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) - 85500170584840440*Sqrt[14]*lu1^5* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 137805455809535800*Sqrt[14]*lu1^6*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) + 9531997567159069860*Sqrt[14]*lu1^7* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 26775942225556609800* Sqrt[14]*lu1^8*(f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 23916613573480742400*Sqrt[14]*lu1^9*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) - 42088338332908021440*Sqrt[14]*lu1^10* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) - 119499107776618764480* Sqrt[14]*lu1^11*(f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) - 84348839945709539200*Sqrt[14]*lu1^12*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) - 14222644326770880000*Sqrt[14]*lu1^13* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) - 48345476940*Sqrt[42]* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 924027402780*Sqrt[42]*lu1*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) + 51775786153980*Sqrt[42]*lu1^2* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 1133891452104180*Sqrt[42]*lu1^3*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 2533383232705980* Sqrt[42]*lu1^4*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) + 314696278848809460*Sqrt[42]*lu1^5* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 1159321499003412940*Sqrt[42]*lu1^6*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 20528554868680615740* Sqrt[42]*lu1^7*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) - 42835075894312435560*Sqrt[42]*lu1^8* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 9240653244858716640*Sqrt[42]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 59193908377220719680* Sqrt[42]*lu1^10*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) + 50567388860461291200*Sqrt[42]*lu1^11* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 49689534543251536000*Sqrt[42]*lu1^12*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 10192546515977280000* Sqrt[42]*lu1^13*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) + 463893084720*Sqrt[14]*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 9379146811140*Sqrt[14]*lu1* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 397659481417800*Sqrt[14]*lu1^2*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) + 6396547888773900*Sqrt[14]*lu1^3* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) + 36334388761370280*Sqrt[14]*lu1^4*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 651196061446211820*Sqrt[14]*lu1^5* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) + 246329419424146920*Sqrt[14]*lu1^6*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) + 8461616021769896100*Sqrt[14]*lu1^7* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) + 9833590011832547400* Sqrt[14]*lu1^8*(f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 12831718233112496640*Sqrt[14]*lu1^9*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 40375059326977446720*Sqrt[14]*lu1^10* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 43644600965974449600* Sqrt[14]*lu1^11*(f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 21729112365481200000*Sqrt[14]*lu1^12*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 3924038763933120000*Sqrt[14]*lu1^13* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) + 2597801274432*Sqrt[5]* f40[t]*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 52523222142384*Sqrt[5]*lu1*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) - 2226893095939680*Sqrt[5]*lu1^2*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) + 35820668177133840* Sqrt[5]*lu1^3*f40[t]*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) + 203472577063673568*Sqrt[5]*lu1^4*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) - 3646697944098786192*Sqrt[5]*lu1^5*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) + 1379444748775222752* Sqrt[5]*lu1^6*f40[t]*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) + 47385049721911418160*Sqrt[5]*lu1^7*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) + 55068104066262265440*Sqrt[5]*lu1^8*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 71857622105429981184* Sqrt[5]*lu1^9*f40[t]*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 226100332231073701632*Sqrt[5]*lu1^10*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) - 244409765409456917760*Sqrt[5]*lu1^11*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 121683029246694720000* Sqrt[5]*lu1^12*f40[t]*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 21974617078025472000*Sqrt[5]*lu1^13*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) - 598478145561*f40[t]^2*g20[t] + 9961603611030*lu1*f40[t]^2*g20[t] + 601637288562261*lu1^2*f40[t]^2* g20[t] - 4571373891857796*lu1^3*f40[t]^2*g20[t] - 171816151752111123*lu1^4*f40[t]^2*g20[t] + 29926531261005942*lu1^5* f40[t]^2*g20[t] + 15918603428072122315*lu1^6*f40[t]^2*g20[t] + 88993660168816178472*lu1^7*f40[t]^2*g20[t] + 147234269771395440348* lu1^8*f40[t]^2*g20[t] - 14123298117069161616*lu1^9*f40[t]^2*g20[t] - 193480410976998497712*lu1^10*f40[t]^2*g20[t] - 151315601812129288320* lu1^11*f40[t]^2*g20[t] - 100482173444211716800*lu1^12*f40[t]^2* g20[t] - 41772362604557088000*lu1^13*f40[t]^2*g20[t] + 80213201640*Sqrt[3]*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* g20[t] - 1564436698110*Sqrt[3]*lu1*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] - 83163811430700*Sqrt[3]*lu1^2* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 983462046485490*Sqrt[3]*lu1^3*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 24704482875904260*Sqrt[3]*lu1^4* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] - 94103003131450170*Sqrt[3]*lu1^5*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] - 2619280350115134420*Sqrt[3]*lu1^6* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] - 8505326982627982650*Sqrt[3]*lu1^7*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] - 6265589174026516620*Sqrt[3]*lu1^8* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 2724696963548994720*Sqrt[3]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 13181456827030034400*Sqrt[3]*lu1^10* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 23875102444984533600*Sqrt[3]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 14003629779333480000*Sqrt[3]*lu1^12* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 1872953198756640000*Sqrt[3]*lu1^13*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] - 386384959566*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 6806180800260*lu1*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 371144236395366*lu1^2* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] - 2689037906452776*lu1^3*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g20[t] - 112919982968457738*lu1^4*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] - 100038719856015228*lu1^5* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 11076717053188209050*lu1^6*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g20[t] + 77424785694833641632*lu1^7*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 166879311474167151288*lu1^8* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 21989047784830855104*lu1^9*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g20[t] - 242591244411449142432*lu1^10*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] - 134981235983095749120*lu1^11* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] - 5694818987950908800*lu1^12*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g20[t] - 63237098018830848000*lu1^13*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] - 359467067106*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] + 2184070766220*lu1*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] + 360969316753626*lu1^2* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] + 1367699616985464*lu1^3*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* g20[t] - 67951795426478838*lu1^4*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] - 763601521626939828*lu1^5* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] - 701709699869208730*lu1^6*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* g20[t] + 27823822789929182352*lu1^7*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] + 108372306441883251768*lu1^8* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] + 92700007856409009504*lu1^9*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* g20[t] - 147384635623671231072*lu1^10*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] - 301202937506857048320*lu1^11* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] - 162164650928083260800*lu1^12*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] - 24406936196129088000*lu1^13* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] - 54586234206*Sqrt[15]*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + 1493871864660*Sqrt[15]*lu1*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 53491988743326*Sqrt[15]* lu1^2*f40[t]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 994964422830336*Sqrt[15]*lu1^3*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) - 20977380716690538*Sqrt[15]*lu1^4*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 106762811656886532* Sqrt[15]*lu1^5*f40[t]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 3015217847505625650*Sqrt[15]*lu1^6*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + 13518632172140153352*Sqrt[15]*lu1^7*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 16506598321497051768* Sqrt[15]*lu1^8*f40[t]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 13451742761624054496*Sqrt[15]*lu1^9*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) - 22907395711293519552*Sqrt[15]*lu1^10*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 13762541827975846080* Sqrt[15]*lu1^11*f40[t]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 10614171664156435200*Sqrt[15]*lu1^12*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) - 6931958631870048000*Sqrt[15]*lu1^13*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 42008761080*Sqrt[14]* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 726336918450*Sqrt[14]*lu1*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 42057262807560*Sqrt[14]*lu1^2* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 379856952279090*Sqrt[14]*lu1^3*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 10908878032998660* Sqrt[14]*lu1^4*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 11592235226693550*Sqrt[14]*lu1^5* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 923267521284851600*Sqrt[14]*lu1^6*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 5332388612894741970* Sqrt[14]*lu1^7*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 14951622364170569220*Sqrt[14]*lu1^8* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 17060473265677464480*Sqrt[14]*lu1^9*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 19985508509526811680* Sqrt[14]*lu1^10*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 56773991226407426400*Sqrt[14]*lu1^11* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 30734481018170072000*Sqrt[14]*lu1^12*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 1631854126462560000* Sqrt[14]*lu1^13*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 84995303130*Sqrt[42]*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 1462650877980*Sqrt[42]* lu1*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 86892221318490*Sqrt[42]*lu1^2*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 756776810619840*Sqrt[42]* lu1^3*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 24969370629600030*Sqrt[42]*lu1^4* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 30479619034605420*Sqrt[42]*lu1^5*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2407934911829949910* Sqrt[42]*lu1^6*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 11508617419143709080*Sqrt[42]*lu1^7* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 14509440528654219720*Sqrt[42]*lu1^8*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 6706024586800500960* Sqrt[42]*lu1^9*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 17021968677094107840*Sqrt[42]*lu1^10* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 14000586180876100800*Sqrt[42]*lu1^11*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 17080787657546464000* Sqrt[42]*lu1^12*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 2924339536960800000*Sqrt[42]*lu1^13* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 63540909432*Sqrt[5]*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) - 1235153089170*Sqrt[5]*lu1* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) - 63624428699832*Sqrt[5]*lu1^2*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) + 735566309640162*Sqrt[5]*lu1^3* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) + 17589739687876356*Sqrt[5]*lu1^4*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) - 56526387424000494*Sqrt[5]*lu1^5* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) - 1777792936630110400*Sqrt[5]*lu1^6*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) - 6969377538591582114*Sqrt[5]*lu1^7* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) - 4953841555524817956*Sqrt[5]*lu1^8*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) + 11195750950168136352*Sqrt[5]*lu1^9* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) + 22930380050551637664*Sqrt[5]*lu1^10*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) + 19791568621189004640*Sqrt[5]*lu1^11* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) + 11210263394619889600*Sqrt[5]*lu1^12*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) + 4480440279290976000*Sqrt[5]*lu1^13* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) - 54586234206*Sqrt[15]*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + 1493871864660*Sqrt[15]*lu1*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 53491988743326*Sqrt[15]* lu1^2*f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 994964422830336*Sqrt[15]*lu1^3*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) - 20977380716690538*Sqrt[15]*lu1^4*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 106762811656886532* Sqrt[15]*lu1^5*f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 3015217847505625650*Sqrt[15]*lu1^6*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + 13518632172140153352*Sqrt[15]*lu1^7*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 16506598321497051768* Sqrt[15]*lu1^8*f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 13451742761624054496*Sqrt[15]*lu1^9*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) - 22907395711293519552*Sqrt[15]*lu1^10*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 13762541827975846080* Sqrt[15]*lu1^11*f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 10614171664156435200*Sqrt[15]*lu1^12*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) - 6931958631870048000*Sqrt[15]*lu1^13*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 84995303130*Sqrt[42]* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 1462650877980*Sqrt[42]*lu1*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 86892221318490*Sqrt[42]*lu1^2* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 756776810619840*Sqrt[42]*lu1^3*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 24969370629600030* Sqrt[42]*lu1^4*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 30479619034605420*Sqrt[42]*lu1^5* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2407934911829949910*Sqrt[42]*lu1^6*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 11508617419143709080* Sqrt[42]*lu1^7*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 14509440528654219720*Sqrt[42]*lu1^8* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 6706024586800500960*Sqrt[42]*lu1^9*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 17021968677094107840* Sqrt[42]*lu1^10*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 14000586180876100800*Sqrt[42]*lu1^11* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 17080787657546464000*Sqrt[42]*lu1^12*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 2924339536960800000* Sqrt[42]*lu1^13*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 301515442470*Sqrt[5]*f40[t]^2*g40[t] - 210429378360*Sqrt[5]*lu1*f40[t]^2*g40[t] + 308526532249950*Sqrt[5]* lu1^2*f40[t]^2*g40[t] + 2704115793510900*Sqrt[5]*lu1^3*f40[t]^2* g40[t] - 61234672256799930*Sqrt[5]*lu1^4*f40[t]^2*g40[t] - 547281946553338080*Sqrt[5]*lu1^5*f40[t]^2*g40[t] + 1990411525535658930*Sqrt[5]*lu1^6*f40[t]^2*g40[t] + 14758476057194141700*Sqrt[5]*lu1^7*f40[t]^2*g40[t] + 20089122082293049200*Sqrt[5]*lu1^8*f40[t]^2*g40[t] - 8416685548134056160*Sqrt[5]*lu1^9*f40[t]^2*g40[t] - 38129494491307162080*Sqrt[5]*lu1^10*f40[t]^2*g40[t] - 37992196867362955200*Sqrt[5]*lu1^11*f40[t]^2*g40[t] - 24419105908960320000*Sqrt[5]*lu1^12*f40[t]^2*g40[t] - 7543031475369600000*Sqrt[5]*lu1^13*f40[t]^2*g40[t] - 7417230426*Sqrt[15]*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* g40[t] + 37534582710*Sqrt[15]*lu1*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 9263397794616*Sqrt[15]*lu1^2* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 64157500363284*Sqrt[15]*lu1^3*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 4458763593007458*Sqrt[15]*lu1^4* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] - 36041618531002098*Sqrt[15]*lu1^5*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 65149485928901820*Sqrt[15]*lu1^6* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 1151618015078989032*Sqrt[15]*lu1^7*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 3925476344303598408*Sqrt[15]*lu1^8* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 7207198858323639264*Sqrt[15]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 5565886088447115168*Sqrt[15]*lu1^10* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] - 5213535166136018880*Sqrt[15]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 10106446978908096000*Sqrt[15]*lu1^12* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] - 2999195028288480000*Sqrt[15]*lu1^13*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 367939000638*Sqrt[5]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 381795624144*Sqrt[5]*lu1*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g40[t] - 442479759203790*Sqrt[5]*lu1^2*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 2819119745350260*Sqrt[5]*lu1^3* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 107796509423115282*Sqrt[5]*lu1^4*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] + 710534990568570552*Sqrt[5]*lu1^5* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 4314133516989973842*Sqrt[5]*lu1^6*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 19291843758773114100*Sqrt[5]*lu1^7* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 7064047697807699280*Sqrt[5]*lu1^8*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] + 26940921953203884384*Sqrt[5]*lu1^9* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 8705945464489243872*Sqrt[5]*lu1^10*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] + 8565695833164085440*Sqrt[5]*lu1^11* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 35255641969985817600*Sqrt[5]*lu1^12*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] + 6537582761770368000*Sqrt[5]*lu1^13* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 177908154732*Sqrt[5]*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* g40[t] + 1058302352016*Sqrt[5]*lu1*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] - 126888767032860*Sqrt[5]*lu1^2* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] - 2811439890874440*Sqrt[5]*lu1^3*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] - 7272237330414252*Sqrt[5]*lu1^4* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] + 232879730405380128*Sqrt[5]*lu1^5*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] + 922424105764748412*Sqrt[5]*lu1^6* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] - 3436061040693225000*Sqrt[5]*lu1^7*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] - 22794078908524583520*Sqrt[5]*lu1^8* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] - 30592632916449705024*Sqrt[5]*lu1^9*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] + 22143731790194255808*Sqrt[5]*lu1^10* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] + 73846743613825714560*Sqrt[5]*lu1^11*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] + 43529850292986086400*Sqrt[5]*lu1^12* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] + 6147946558478592000*Sqrt[5]*lu1^13*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] + 858*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*f20[t]^2* (2*Sqrt[5]*(-1466334 + 25226721*lu1 + 59771244*lu1^2 + 3362636590*lu1^3 - 39543716250*lu1^4 - 492345908823*lu1^5 - 54315356508*lu1^6 + 331237105968*lu1^7 + 2403770623440*lu1^8 + 868078766000*lu1^9)*f40[t] - 11*(-89748 + 1368837*lu1 + 18810873*lu1^2 - 151129870*lu1^3 - 1608361670*lu1^4 - 7013047391*lu1^5 - 21901176131*lu1^6 + 406119016*lu1^7 + 12327769060*lu1^8 + 82696568000*lu1^9)*g20[t] + 2*Sqrt[5]*(229716 - 1808244*lu1 + 4363959*lu1^2 - 335980930*lu1^3 + 773284650*lu1^4 + 12923544852*lu1^5 - 15845138913*lu1^6 - 90684744702*lu1^7 - 32706948300*lu1^8 + 11174253400*lu1^9)* g40[t]) + 147697486398*Sqrt[5]*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) + 40574504124*Sqrt[5]*lu1*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 118139305873050*Sqrt[5]* lu1^2*f40[t]*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 1564967500186860*Sqrt[5]*lu1^3*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) + 13459884770922282*Sqrt[5]*lu1^4*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) + 246742645924386612* Sqrt[5]*lu1^5*f40[t]*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 32385919594237902*Sqrt[5]*lu1^6*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) - 6588401783526998820*Sqrt[5]*lu1^7*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 18566010441618504480* Sqrt[5]*lu1^8*f40[t]*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 4212106873654480416*Sqrt[5]*lu1^9*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) + 37589471208193256352*Sqrt[5]*lu1^10*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) + 37508568637517208000* Sqrt[5]*lu1^11*f40[t]*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) + 9233195514863443200*Sqrt[5]*lu1^12*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) + 5028543242021376000*Sqrt[5]*lu1^13*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 18583398270*Sqrt[42]* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 51291353790*Sqrt[42]*lu1*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 14955095621340*Sqrt[42]*lu1^2* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 152920825692300*Sqrt[42]*lu1^3*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 603146275558470*Sqrt[42]* lu1^4*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 29235318144151770*Sqrt[42]*lu1^5* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 48626230056459480*Sqrt[42]*lu1^6*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 717498019305164880* Sqrt[42]*lu1^7*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 2967742799761946400*Sqrt[42]*lu1^8* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 3052365566409027360*Sqrt[42]*lu1^9*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 3804354417594087360* Sqrt[42]*lu1^10*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 10846431884009416320*Sqrt[42]*lu1^11* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 7549561755647020800*Sqrt[42]*lu1^12*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 1113236131371840000* Sqrt[42]*lu1^13*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 122165856450*Sqrt[14]*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 614834298900*Sqrt[14]* lu1*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 130420996993350*Sqrt[14]*lu1^2*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 1463221921356900* Sqrt[14]*lu1^3*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 19644799917950550*Sqrt[14]*lu1^4* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 198066387210306300*Sqrt[14]*lu1^5*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 700648942844783250* Sqrt[14]*lu1^6*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 3984714371136098700*Sqrt[14]*lu1^7* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 4884502262019616800*Sqrt[14]*lu1^8*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 6034198255689938400* Sqrt[14]*lu1^9*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 3639908618311831200*Sqrt[14]*lu1^10* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 22210121289813422400*Sqrt[14]*lu1^11*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 27183193177005792000* Sqrt[14]*lu1^12*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 2571248922439680000*Sqrt[14]*lu1^13* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 6100306506*Sqrt[15]*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) + 59954279490*Sqrt[15]*lu1*(f22[t] - I*f22n[t])* f40[t]*(g42[t] + I*g42n[t]) + 13373956878156*Sqrt[15]*lu1^2* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) - 20724035319036*Sqrt[15]*lu1^3*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) - 8363501415003378*Sqrt[15]*lu1^4* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) - 37728627248539878*Sqrt[15]*lu1^5*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) + 319196867660924400*Sqrt[15]*lu1^6* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) + 1393745868765866112*Sqrt[15]*lu1^7*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) + 707057983108222368*Sqrt[15]*lu1^8* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) - 544460005353302976*Sqrt[15]*lu1^9*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) + 4415103588505998528*Sqrt[15]*lu1^10* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) + 5241449162205298560*Sqrt[15]*lu1^11*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) - 3150586256134598400*Sqrt[15]*lu1^12* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) - 3526729867785600000*Sqrt[15]*lu1^13*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) + 147697486398*Sqrt[5]*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 40574504124*Sqrt[5]*lu1* f40[t]*(f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) - 118139305873050*Sqrt[5]*lu1^2*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) - 1564967500186860*Sqrt[5]*lu1^3*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 13459884770922282* Sqrt[5]*lu1^4*f40[t]*(f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 246742645924386612*Sqrt[5]*lu1^5*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) - 32385919594237902*Sqrt[5]*lu1^6*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) - 6588401783526998820* Sqrt[5]*lu1^7*f40[t]*(f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) - 18566010441618504480*Sqrt[5]*lu1^8*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) - 4212106873654480416*Sqrt[5]*lu1^9*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 37589471208193256352* Sqrt[5]*lu1^10*f40[t]*(f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 37508568637517208000*Sqrt[5]*lu1^11*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) + 9233195514863443200*Sqrt[5]*lu1^12*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 5028543242021376000* Sqrt[5]*lu1^13*f40[t]*(f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 122165856450*Sqrt[14]*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 614834298900*Sqrt[14]*lu1* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 130420996993350*Sqrt[14]*lu1^2*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 1463221921356900* Sqrt[14]*lu1^3*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 19644799917950550*Sqrt[14]*lu1^4* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 198066387210306300*Sqrt[14]*lu1^5*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 700648942844783250* Sqrt[14]*lu1^6*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 3984714371136098700*Sqrt[14]*lu1^7* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 4884502262019616800*Sqrt[14]*lu1^8*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 6034198255689938400* Sqrt[14]*lu1^9*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 3639908618311831200*Sqrt[14]*lu1^10* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 22210121289813422400*Sqrt[14]*lu1^11*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 27183193177005792000* Sqrt[14]*lu1^12*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 2571248922439680000*Sqrt[14]*lu1^13* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 1430*Sqrt[14]*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)* (f22[t] + I*f22n[t])^2*(2*(-721359 + 8610003*lu1 - 19192089*lu1^2 + 3770152662*lu1^3 - 7863282821*lu1^4 - 455305555293*lu1^5 - 725852333259*lu1^6 - 256924292388*lu1^7 + 2396596489344*lu1^8 + 2781434626848*lu1^9 + 538198329200*lu1^10)*(f44[t] - I*f44n[t]) + (461214 - 1919943*lu1 - 59196753*lu1^2 - 585636294*lu1^3 + 3128871884*lu1^4 + 32503648533*lu1^5 - 47976178401*lu1^6 - 291045497016*lu1^7 - 161038700808*lu1^8 + 93961520208*lu1^9 + 49939303600*lu1^10)*(g44[t] - I*g44n[t])) - 2*(f22[t] + I*f22n[t])*(24172738470*Sqrt[42]*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 462013701390*Sqrt[42]*lu1* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 25887893076990* Sqrt[42]*lu1^2*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 566945726052090*Sqrt[42]*lu1^3*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) + 1266691616352990*Sqrt[42]*lu1^4* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 157348139424404730* Sqrt[42]*lu1^5*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 579660749501706470*Sqrt[42]*lu1^6*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) + 10264277434340307870*Sqrt[42]*lu1^7* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 21417537947156217780* Sqrt[42]*lu1^8*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 4620326622429358320*Sqrt[42]*lu1^9*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 29596954188610359840*Sqrt[42]*lu1^10* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 25283694430230645600* Sqrt[42]*lu1^11*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 24844767271625768000*Sqrt[42]*lu1^12*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 5096273257988640000*Sqrt[42]*lu1^13* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 31770454716*Sqrt[5]* f40[t]*(g22[t] - I*g22n[t]) + 617576544585*Sqrt[5]*lu1*f40[t]* (g22[t] - I*g22n[t]) + 31812214349916*Sqrt[5]*lu1^2*f40[t]* (g22[t] - I*g22n[t]) - 367783154820081*Sqrt[5]*lu1^3*f40[t]* (g22[t] - I*g22n[t]) - 8794869843938178*Sqrt[5]*lu1^4*f40[t]* (g22[t] - I*g22n[t]) + 28263193712000247*Sqrt[5]*lu1^5*f40[t]* (g22[t] - I*g22n[t]) + 888896468315055200*Sqrt[5]*lu1^6*f40[t]* (g22[t] - I*g22n[t]) + 3484688769295791057*Sqrt[5]*lu1^7*f40[t]* (g22[t] - I*g22n[t]) + 2476920777762408978*Sqrt[5]*lu1^8*f40[t]* (g22[t] - I*g22n[t]) - 5597875475084068176*Sqrt[5]*lu1^9*f40[t]* (g22[t] - I*g22n[t]) - 11465190025275818832*Sqrt[5]*lu1^10*f40[t]* (g22[t] - I*g22n[t]) - 9895784310594502320*Sqrt[5]*lu1^11*f40[t]* (g22[t] - I*g22n[t]) - 5605131697309944800*Sqrt[5]*lu1^12*f40[t]* (g22[t] - I*g22n[t]) - 2240220139645488000*Sqrt[5]*lu1^13*f40[t]* (g22[t] - I*g22n[t]) - 21004380540*Sqrt[14]*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 363168459225*Sqrt[14]*lu1* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 21028631403780* Sqrt[14]*lu1^2*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 189928476139545*Sqrt[14]*lu1^3*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 5454439016499330*Sqrt[14]*lu1^4* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 5796117613346775* Sqrt[14]*lu1^5*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 461633760642425800*Sqrt[14]*lu1^6*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 2666194306447370985*Sqrt[14]*lu1^7* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 7475811182085284610* Sqrt[14]*lu1^8*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 8530236632838732240*Sqrt[14]*lu1^9*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 9992754254763405840*Sqrt[14]*lu1^10* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 28386995613203713200* Sqrt[14]*lu1^11*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 15367240509085036000*Sqrt[14]*lu1^12*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 815927063231280000*Sqrt[14]*lu1^13* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 286*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*(f22[t] - I*f22n[t])* (2*Sqrt[5]*(-9590211 + 175192470*lu1 + 785261967*lu1^2 + 11771593464*lu1^3 - 296401212605*lu1^4 - 2391847700442*lu1^5 + 186348004785*lu1^6 + 3939863276604*lu1^7 + 11638375800048*lu1^ 8 + 8328159500400*lu1^9 + 2517480950000*lu1^10)*f40[t] + 33*(-186084 + 2180970*lu1 + 50612163*lu1^2 - 172484334*lu1^3 - 4739355190*lu1^4 - 30168984718*lu1^5 - 103079249965*lu1^6 + 4525377026*lu1^7 + 149334713372*lu1^8 + 143879042840*lu1^9 + 30273967200*lu1^10)*g20[t] - Sqrt[5]*(-1828818 + 20192085*lu1 - 352836099*lu1^2 + 3067107762*lu1^3 + 5757006880*lu1^4 - 79384980471*lu1^5 - 109750929795*lu1^6 + 367239586512*lu1^7 + 871748501784*lu1^8 + 661154419440*lu1^9 + 115605477200*lu1^10)* g40[t]) + 3*Sqrt[3]*(f42[t] - I*f42n[t])* (2*Sqrt[5]*(10343040363 - 331845872175*lu1 - 7705370977143*lu1^2 + 268995269622453*lu1^3 - 333583565577241*lu1^4 - 22307207102602261*lu1^5 + 100725834528967115*lu1^6 + 1816413534116907639*lu1^7 + 5389290136916396586*lu1^8 + 2891752263746052328*lu1^9 - 1700275941070484304*lu1^10 + 4190513798130775120*lu1^11 + 5571481363890783200*lu1^12 + 312673613623280000*lu1^13)*f40[t] - 715*(18697716 - 364670559*lu1 - 19385503830*lu1^2 + 229245232281*lu1^3 + 5758620716994*lu1^4 - 21935431965373*lu1^ 5 - 610554860166698*lu1^6 - 1982593702244285*lu1^7 - 1460510296975878*lu1^8 + 635127497330768*lu1^9 + 3072600658981360*lu1^10 + 5565291945217840*lu1^11 + 3264249365812000*lu1^12 + 436585827216000*lu1^13)*g20[t] + Sqrt[5]*(1236205071 - 6255763785*lu1 - 1543899632436*lu1^2 - 10692916727214*lu1^3 + 743127265501243*lu1^4 + 6006936421833683*lu1^5 - 10858247654816970*lu1^6 - 191936335846498172*lu1^7 - 654246057383933068*lu1^8 - 1201199809720606544*lu1^9 - 927647681407852528*lu1^10 + 868922527689336480*lu1^11 + 1684407829818016000*lu1^12 + 499865838048080000*lu1^13)*g40[t]) + 3050153253*Sqrt[15]*f40[t]* (g42[t] - I*g42n[t]) - 29977139745*Sqrt[15]*lu1*f40[t]* (g42[t] - I*g42n[t]) - 6686978439078*Sqrt[15]*lu1^2*f40[t]* (g42[t] - I*g42n[t]) + 10362017659518*Sqrt[15]*lu1^3*f40[t]* (g42[t] - I*g42n[t]) + 4181750707501689*Sqrt[15]*lu1^4*f40[t]* (g42[t] - I*g42n[t]) + 18864313624269939*Sqrt[15]*lu1^5*f40[t]* (g42[t] - I*g42n[t]) - 159598433830462200*Sqrt[15]*lu1^6*f40[t]* (g42[t] - I*g42n[t]) - 696872934382933056*Sqrt[15]*lu1^7*f40[t]* (g42[t] - I*g42n[t]) - 353528991554111184*Sqrt[15]*lu1^8*f40[t]* (g42[t] - I*g42n[t]) + 272230002676651488*Sqrt[15]*lu1^9*f40[t]* (g42[t] - I*g42n[t]) - 2207551794252999264*Sqrt[15]*lu1^10*f40[t]* (g42[t] - I*g42n[t]) - 2620724581102649280*Sqrt[15]*lu1^11*f40[t]* (g42[t] - I*g42n[t]) + 1575293128067299200*Sqrt[15]*lu1^12*f40[t]* (g42[t] - I*g42n[t]) + 1763364933892800000*Sqrt[15]*lu1^13*f40[t]* (g42[t] - I*g42n[t]) + 9291699135*Sqrt[42]*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 25645676895*Sqrt[42]*lu1* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 7477547810670*Sqrt[42]* lu1^2*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 76460412846150*Sqrt[42]*lu1^3*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 301573137779235*Sqrt[42]*lu1^4* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 14617659072075885* Sqrt[42]*lu1^5*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 24313115028229740*Sqrt[42]*lu1^6*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 358749009652582440*Sqrt[42]*lu1^7* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 1483871399880973200* Sqrt[42]*lu1^8*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 1526182783204513680*Sqrt[42]*lu1^9*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 1902177208797043680*Sqrt[42]*lu1^10* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 5423215942004708160* Sqrt[42]*lu1^11*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 3774780877823510400*Sqrt[42]*lu1^12*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 556618065685920000*Sqrt[42]*lu1^13* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 8633237175*Sqrt[42]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 36855525285*Sqrt[42]* lu1*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 9532827352440*Sqrt[42]*lu1^2*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) - 34019645004990*Sqrt[42]*lu1^3* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 2253942048777195* Sqrt[42]*lu1^4*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 15461163430844775*Sqrt[42]*lu1^5*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) - 102710575837781550*Sqrt[42]*lu1^6* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 479812936496020980* Sqrt[42]*lu1^7*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 125337780716714820*Sqrt[42]*lu1^8*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) + 2349646648633957440*Sqrt[42]*lu1^9* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 2477568458767602000* Sqrt[42]*lu1^10*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 195723777834049440*Sqrt[42]*lu1^11*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) + 296850516436761600*Sqrt[42]*lu1^12* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 820385485434480000* Sqrt[42]*lu1^13*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])) + 28591864785*Sqrt[14]*(f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 509619609720*Sqrt[14]*lu1*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) - 23842269131625*Sqrt[14]*lu1^2* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 111164024601450*Sqrt[14]*lu1^3*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) + 10972536210449415*Sqrt[14]*lu1^4* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 75574586066362740*Sqrt[14]*lu1^5*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) - 294556819923046215*Sqrt[14]*lu1^6* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 3394523657460972150* Sqrt[14]*lu1^7*(f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 5160058779126907800*Sqrt[14]*lu1^8*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) + 10242541029756966480*Sqrt[14]*lu1^9* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 22704655863965412240* Sqrt[14]*lu1^10*(f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 3214022856131944800*Sqrt[14]*lu1^11*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) - 14973640222525632000*Sqrt[14]*lu1^12* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 1200266815245120000* Sqrt[14]*lu1^13*(f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 333167542092*Sqrt[5]*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) - 234550046304*Sqrt[5]*lu1*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 368492761633500*Sqrt[5]* lu1^2*f40[t]*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 2380042165478040*Sqrt[5]*lu1^3*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) + 89364659824727028*Sqrt[5]*lu1^4*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) + 649754859971983248* Sqrt[5]*lu1^5*f40[t]*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 3247788188632296708*Sqrt[5]*lu1^6*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) - 18943835959725185880*Sqrt[5]*lu1^7*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 16727731460947977120* Sqrt[5]*lu1^8*f40[t]*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) + 27079676225612531136*Sqrt[5]*lu1^9*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) + 42309426392732899008*Sqrt[5]*lu1^10*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) + 16265703807395280000* Sqrt[5]*lu1^11*f40[t]*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) + 12421823126051404800*Sqrt[5]*lu1^12*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) + 7486270786278144000*Sqrt[5]*lu1^13*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) + 5935824180*Sqrt[14]* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 74174867910*Sqrt[14]* lu1*(f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 5203039121280*Sqrt[14]*lu1^2*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 12062523111210*Sqrt[14]*lu1^3* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 724900124468520*Sqrt[14]*lu1^4*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 6765671442159630*Sqrt[14]*lu1^5* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 27891164992673840*Sqrt[14]*lu1^6*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) - 367442332206588210*Sqrt[14]*lu1^7* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 83062271488559220*Sqrt[14]*lu1^8*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 3584909923798700640*Sqrt[14]*lu1^9* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 5458798227794065440* Sqrt[14]*lu1^10*(f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 1175744965123803360*Sqrt[14]*lu1^11*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) - 1744709795239153600*Sqrt[14]*lu1^12* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 659858006327520000*Sqrt[14]*lu1^13*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) - 17266474350*Sqrt[42]*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 73711050570*Sqrt[42]*lu1* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 19065654704880*Sqrt[42]*lu1^2*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 68039290009980*Sqrt[42]* lu1^3*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) - 4507884097554390*Sqrt[42]*lu1^4* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 30922326861689550*Sqrt[42]*lu1^5*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 205421151675563100* Sqrt[42]*lu1^6*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) + 959625872992041960*Sqrt[42]*lu1^7* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 250675561433429640*Sqrt[42]*lu1^8*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 4699293297267914880* Sqrt[42]*lu1^9*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) - 4955136917535204000*Sqrt[42]*lu1^10* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 391447555668098880*Sqrt[42]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 593701032873523200* Sqrt[42]*lu1^12*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) - 1640770970868960000*Sqrt[42]*lu1^13* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 28591864785*Sqrt[14]*(f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 509619609720*Sqrt[14]*lu1*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) - 23842269131625*Sqrt[14]*lu1^2* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 111164024601450*Sqrt[14]*lu1^3*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) + 10972536210449415*Sqrt[14]*lu1^4* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 75574586066362740*Sqrt[14]*lu1^5*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) - 294556819923046215*Sqrt[14]*lu1^6* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 3394523657460972150* Sqrt[14]*lu1^7*(f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 5160058779126907800*Sqrt[14]*lu1^8*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) + 10242541029756966480*Sqrt[14]*lu1^9* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 22704655863965412240* Sqrt[14]*lu1^10*(f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 3214022856131944800*Sqrt[14]*lu1^11*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) - 14973640222525632000*Sqrt[14]*lu1^12* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 1200266815245120000* Sqrt[14]*lu1^13*(f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 333167542092*Sqrt[5]*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) - 234550046304*Sqrt[5]*lu1*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 368492761633500*Sqrt[5]* lu1^2*f40[t]*(f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 2380042165478040*Sqrt[5]*lu1^3*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) + 89364659824727028*Sqrt[5]*lu1^4*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) + 649754859971983248* Sqrt[5]*lu1^5*f40[t]*(f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 3247788188632296708*Sqrt[5]*lu1^6*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) - 18943835959725185880*Sqrt[5]*lu1^7*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 16727731460947977120* Sqrt[5]*lu1^8*f40[t]*(f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) + 27079676225612531136*Sqrt[5]*lu1^9*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) + 42309426392732899008*Sqrt[5]*lu1^10*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) + 16265703807395280000* Sqrt[5]*lu1^11*f40[t]*(f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) + 12421823126051404800*Sqrt[5]*lu1^12*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) + 7486270786278144000*Sqrt[5]*lu1^13*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) + 2*f20[t]*(28314*(838836 - 24698925*lu1 - 522929736*lu1^2 + 13937397381*lu1^3 + 16950777678*lu1^4 - 404170381507*lu1^5 + 2259314626540*lu1^6 - 141647252707397*lu1^7 - 596299984910678* lu1^8 + 522603170092576*lu1^9 + 1961438478246832*lu1^10 + 1497036075586160*lu1^11 + 1659597392272800*lu1^12 + 853044114384000*lu1^13)*f22[t]^2 + 28314*(838836 - 24698925*lu1 - 522929736*lu1^2 + 13937397381*lu1^3 + 16950777678*lu1^4 - 404170381507*lu1^5 + 2259314626540*lu1^6 - 141647252707397* lu1^7 - 596299984910678*lu1^8 + 522603170092576*lu1^9 + 1961438478246832*lu1^10 + 1497036075586160*lu1^11 + 1659597392272800*lu1^12 + 853044114384000*lu1^13)*f22n[t]^2 - 217515615327*f40[t]^2 + 6225657211170*lu1*f40[t]^2 + 191665769701077*lu1^2*f40[t]^2 - 6840459615195162*lu1^3*f40[t]^2 + 20074076320699899*lu1^4*f40[t]^2 + 1314332533820797734*lu1^5* f40[t]^2 - 5833531421609920145*lu1^6*f40[t]^2 - 74035050026225975646*lu1^7*f40[t]^2 - 152706128006639193744*lu1^8* f40[t]^2 + 32331309156899000208*lu1^9*f40[t]^2 + 221296888042198386096*lu1^10*f40[t]^2 + 80244554776829509920*lu1^11* f40[t]^2 + 20645407183696611200*lu1^12*f40[t]^2 + 23280510666940800000*lu1^13*f40[t]^2 - 274304839986*f42[t]^2 + 10586783407320*lu1*f42[t]^2 + 180857000888046*lu1^2*f42[t]^2 - 10148946533445456*lu1^3*f42[t]^2 + 56450666703301362*lu1^4* f42[t]^2 + 1177274467608766152*lu1^5*f42[t]^2 - 6487157484212626390*lu1^6*f42[t]^2 - 56642908798930887408*lu1^7* f42[t]^2 - 129031718800385670072*lu1^8*f42[t]^2 - 9876581595424732896*lu1^9*f42[t]^2 + 147128240573622352608*lu1^10* f42[t]^2 - 142704306146939735040*lu1^11*f42[t]^2 - 269722574259694390400*lu1^12*f42[t]^2 - 9763910397608640000*lu1^13* f42[t]^2 - 274304839986*f42n[t]^2 + 10586783407320*lu1*f42n[t]^2 + 180857000888046*lu1^2*f42n[t]^2 - 10148946533445456*lu1^3* f42n[t]^2 + 56450666703301362*lu1^4*f42n[t]^2 + 1177274467608766152*lu1^5*f42n[t]^2 - 6487157484212626390*lu1^6* f42n[t]^2 - 56642908798930887408*lu1^7*f42n[t]^2 - 129031718800385670072*lu1^8*f42n[t]^2 - 9876581595424732896*lu1^9* f42n[t]^2 + 147128240573622352608*lu1^10*f42n[t]^2 - 142704306146939735040*lu1^11*f42n[t]^2 - 269722574259694390400* lu1^12*f42n[t]^2 - 9763910397608640000*lu1^13*f42n[t]^2 + 82354653234*f44[t]^2 - 2267219184300*lu1*f44[t]^2 - 49389174236934*lu1^2*f44[t]^2 - 595415167669476*lu1^3*f44[t]^2 + 35739293978737062*lu1^4*f44[t]^2 + 881516775401485692*lu1^5* f44[t]^2 - 4562968303166785330*lu1^6*f44[t]^2 - 21093548218201429068*lu1^7*f44[t]^2 + 17107416598649196288*lu1^8* f44[t]^2 + 141043740074079734304*lu1^9*f44[t]^2 + 203802117074197178208*lu1^10*f44[t]^2 + 159645439704983050560* lu1^11*f44[t]^2 + 92795539837706809600*lu1^12*f44[t]^2 + 27239631876387840000*lu1^13*f44[t]^2 + 82354653234*f44n[t]^2 - 2267219184300*lu1*f44n[t]^2 - 49389174236934*lu1^2*f44n[t]^2 - 595415167669476*lu1^3*f44n[t]^2 + 35739293978737062*lu1^4* f44n[t]^2 + 881516775401485692*lu1^5*f44n[t]^2 - 4562968303166785330*lu1^6*f44n[t]^2 - 21093548218201429068*lu1^7* f44n[t]^2 + 17107416598649196288*lu1^8*f44n[t]^2 + 141043740074079734304*lu1^9*f44n[t]^2 + 203802117074197178208* lu1^10*f44n[t]^2 + 159645439704983050560*lu1^11*f44n[t]^2 + 92795539837706809600*lu1^12*f44n[t]^2 + 27239631876387840000*lu1^13* f44n[t]^2 - 52774835256*Sqrt[5]*f40[t]*g20[t] + 980745003810*Sqrt[5]*lu1*f40[t]*g20[t] + 52840845753696*Sqrt[5]* lu1^2*f40[t]*g20[t] - 557711630959626*Sqrt[5]*lu1^3*f40[t]* g20[t] - 14249308860437508*Sqrt[5]*lu1^4*f40[t]*g20[t] + 34059311325347022*Sqrt[5]*lu1^5*f40[t]*g20[t] + 1350530228957481000*Sqrt[5]*lu1^6*f40[t]*g20[t] + 6150883075743162042*Sqrt[5]*lu1^7*f40[t]*g20[t] + 9952731959847693588*Sqrt[5]*lu1^8*f40[t]*g20[t] + 2932361157754664064*Sqrt[5]*lu1^9*f40[t]*g20[t] - 21457944280039224672*Sqrt[5]*lu1^10*f40[t]*g20[t] - 38282779923798215520*Sqrt[5]*lu1^11*f40[t]*g20[t] - 20972372206394980800*Sqrt[5]*lu1^12*f40[t]*g20[t] - 3056147202876768000*Sqrt[5]*lu1^13*f40[t]*g20[t] + 11685393720*Sqrt[3]*f42[t]*g22[t] - 252039477690*Sqrt[3]*lu1*f42[t]* g22[t] - 8857815466500*Sqrt[3]*lu1^2*f42[t]*g22[t] + 115862818821750*Sqrt[3]*lu1^3*f42[t]*g22[t] + 975457259556780* Sqrt[3]*lu1^4*f42[t]*g22[t] + 3756435833680530*Sqrt[3]*lu1^5* f42[t]*g22[t] - 35952037173432380*Sqrt[3]*lu1^6*f42[t]*g22[t] - 1332839377393073550*Sqrt[3]*lu1^7*f42[t]*g22[t] + 2993060702875343100*Sqrt[3]*lu1^8*f42[t]*g22[t] + 21621712375290387360*Sqrt[3]*lu1^9*f42[t]*g22[t] + 18374007087380424480*Sqrt[3]*lu1^10*f42[t]*g22[t] - 9813818485138668000*Sqrt[3]*lu1^11*f42[t]*g22[t] - 5564684461023688000*Sqrt[3]*lu1^12*f42[t]*g22[t] + 5050495891240800000*Sqrt[3]*lu1^13*f42[t]*g22[t] + 11685393720*Sqrt[3]*f42n[t]*g22n[t] - 252039477690*Sqrt[3]*lu1* f42n[t]*g22n[t] - 8857815466500*Sqrt[3]*lu1^2*f42n[t]*g22n[t] + 115862818821750*Sqrt[3]*lu1^3*f42n[t]*g22n[t] + 975457259556780*Sqrt[3]*lu1^4*f42n[t]*g22n[t] + 3756435833680530*Sqrt[3]*lu1^5*f42n[t]*g22n[t] - 35952037173432380*Sqrt[3]*lu1^6*f42n[t]*g22n[t] - 1332839377393073550*Sqrt[3]*lu1^7*f42n[t]*g22n[t] + 2993060702875343100*Sqrt[3]*lu1^8*f42n[t]*g22n[t] + 21621712375290387360*Sqrt[3]*lu1^9*f42n[t]*g22n[t] + 18374007087380424480*Sqrt[3]*lu1^10*f42n[t]*g22n[t] - 9813818485138668000*Sqrt[3]*lu1^11*f42n[t]*g22n[t] - 5564684461023688000*Sqrt[3]*lu1^12*f42n[t]*g22n[t] + 5050495891240800000*Sqrt[3]*lu1^13*f42n[t]*g22n[t] - 106220145663*f40[t]*g40[t] - 22272721470*lu1*f40[t]*g40[t] + 105305969395683*lu1^2*f40[t]*g40[t] + 1029254112823212*lu1^3*f40[t]* g40[t] - 19806488882664309*lu1^4*f40[t]*g40[t] - 192696663083360814*lu1^5*f40[t]*g40[t] + 929572278609372285*lu1^6* f40[t]*g40[t] + 4063251308506925616*lu1^7*f40[t]*g40[t] + 717088510404227844*lu1^8*f40[t]*g40[t] - 638222252138256528*lu1^9* f40[t]*g40[t] + 10870205137221713904*lu1^10*f40[t]*g40[t] - 14192294851234592640*lu1^11*f40[t]*g40[t] - 48542302444798056000* lu1^12*f40[t]*g40[t] - 22907873173338720000*lu1^13*f40[t]*g40[t] - 34366612770*f42[t]*g42[t] - 627691419180*lu1*f42[t]*g42[t] + 48981015583290*lu1^2*f42[t]*g42[t] + 931042716992640*lu1^3*f42[t]* g42[t] - 22396767062494230*lu1^4*f42[t]*g42[t] - 124893374220711180*lu1^5*f42[t]*g42[t] + 1324230983910820230*lu1^6* f42[t]*g42[t] + 1230625095337156680*lu1^7*f42[t]*g42[t] - 9356025234857391720*lu1^8*f42[t]*g42[t] + 12366980222460398640* lu1^9*f42[t]*g42[t] + 75213482041587042720*lu1^10*f42[t]*g42[t] + 30635212852889729280*lu1^11*f42[t]*g42[t] - 64275250176145276800* lu1^12*f42[t]*g42[t] - 36251652731968800000*lu1^13*f42[t]*g42[t] - 1430*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22[t]* (6*Sqrt[3]*(-985428 + 18509163*lu1 + 89383784*lu1^2 + 889048978*lu1^3 - 32059769976*lu1^4 - 215171349461*lu1^5 + 101355593116*lu1^6 + 466309729888*lu1^7 + 1026864367856*lu1^8 + 616302763728*lu1^9 + 219920291200*lu1^10)*f42[t] + 7*(-3 + 13*lu1 + 38*lu1^2)*(33*(792 - 13197*lu1 - 128661*lu1^2 + 1592293*lu1^3 + 8965369*lu1^4 + 2703556*lu1^5 - 97100648*lu1^6 + 62136256*lu1^7 + 101593360*lu1^8)*g22[t] - 2*Sqrt[3]*(10854 - 97983*lu1 + 2982993*lu1^2 - 8009033*lu1^3 - 67444079*lu1^4 - 21631364*lu1^5 + 303774868*lu1^6 + 437645488*lu1^7 + 103724800*lu1^8)*g42[t])) - 34366612770*f42n[t]*g42n[t] - 627691419180*lu1*f42n[t]*g42n[t] + 48981015583290*lu1^2*f42n[t]*g42n[t] + 931042716992640*lu1^3* f42n[t]*g42n[t] - 22396767062494230*lu1^4*f42n[t]*g42n[t] - 124893374220711180*lu1^5*f42n[t]*g42n[t] + 1324230983910820230* lu1^6*f42n[t]*g42n[t] + 1230625095337156680*lu1^7*f42n[t]* g42n[t] - 9356025234857391720*lu1^8*f42n[t]*g42n[t] + 12366980222460398640*lu1^9*f42n[t]*g42n[t] + 75213482041587042720* lu1^10*f42n[t]*g42n[t] + 30635212852889729280*lu1^11*f42n[t]* g42n[t] - 64275250176145276800*lu1^12*f42n[t]*g42n[t] - 36251652731968800000*lu1^13*f42n[t]*g42n[t] - 1430*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]* (6*Sqrt[3]*(-985428 + 18509163*lu1 + 89383784*lu1^2 + 889048978*lu1^3 - 32059769976*lu1^4 - 215171349461*lu1^5 + 101355593116*lu1^6 + 466309729888*lu1^7 + 1026864367856*lu1^8 + 616302763728*lu1^9 + 219920291200*lu1^10)*f42n[t] + 7*(-3 + 13*lu1 + 38*lu1^2)*(33*(792 - 13197*lu1 - 128661*lu1^2 + 1592293*lu1^3 + 8965369*lu1^4 + 2703556*lu1^5 - 97100648*lu1^6 + 62136256*lu1^7 + 101593360*lu1^8)*g22n[t] - 2*Sqrt[3]*(10854 - 97983*lu1 + 2982993*lu1^2 - 8009033*lu1^3 - 67444079*lu1^4 - 21631364*lu1^5 + 303774868*lu1^6 + 437645488*lu1^7 + 103724800*lu1^8)*g42n[t])) - 64338062670*f44[t]*g44[t] - 712019242620*lu1*f44[t]*g44[t] + 40637623794390*lu1^2*f44[t]*g44[t] + 1265327483406840*lu1^3*f44[t]* g44[t] + 14186908378042470*lu1^4*f44[t]*g44[t] + 16390346189428260*lu1^5*f44[t]*g44[t] + 235720731591955050*lu1^6* f44[t]*g44[t] - 4540960711412334720*lu1^7*f44[t]*g44[t] - 20614627676412556920*lu1^8*f44[t]*g44[t] - 16323877870610859360* lu1^9*f44[t]*g44[t] + 18075915248971960800*lu1^10*f44[t]*g44[t] + 5245306628355521280*lu1^11*f44[t]*g44[t] - 32883716818906396800* lu1^12*f44[t]*g44[t] - 17975950351732800000*lu1^13*f44[t]*g44[t] - 64338062670*f44n[t]*g44n[t] - 712019242620*lu1*f44n[t]*g44n[t] + 40637623794390*lu1^2*f44n[t]*g44n[t] + 1265327483406840*lu1^3* f44n[t]*g44n[t] + 14186908378042470*lu1^4*f44n[t]*g44n[t] + 16390346189428260*lu1^5*f44n[t]*g44n[t] + 235720731591955050*lu1^6* f44n[t]*g44n[t] - 4540960711412334720*lu1^7*f44n[t]*g44n[t] - 20614627676412556920*lu1^8*f44n[t]*g44n[t] - 16323877870610859360* lu1^9*f44n[t]*g44n[t] + 18075915248971960800*lu1^10*f44n[t]* g44n[t] + 5245306628355521280*lu1^11*f44n[t]*g44n[t] - 32883716818906396800*lu1^12*f44n[t]*g44n[t] - 17975950351732800000* lu1^13*f44n[t]*g44n[t])))/(462462*(-3 + 13*lu1 + 38*lu1^2)^3* (-1 + 7*lu1 + 170*lu1^2)^2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*Pi) + (5*(-1 + 17*lu1)*Sqrt[3*Pi]*(143*f22n[t]* (-154*lu1^3*(34249*Sqrt[2*Pi] + 5793*Sqrt[10]*f20[t] - 102365*Sqrt[2]*f40[t] - 138782*Sqrt[35]*f44[t]) - 9*(3003*Sqrt[2*Pi] - 5544*Sqrt[10]*f20[t] + 43960*Sqrt[2]*f40[t] - 22640*Sqrt[35]*f44[t]) + 108*lu1*(77*Sqrt[2*Pi] + 1694*Sqrt[10]*f20[t] - 33040*Sqrt[2]*f40[t] + 21800*Sqrt[35]* f44[t]) + 16*lu1^6*(277970*Sqrt[2*Pi] - 285285*Sqrt[10]* f20[t] - 574945*Sqrt[2]*f40[t] + 92426*Sqrt[35]*f44[t]) - 8*lu1^5*(814891*Sqrt[2*Pi] - 296373*Sqrt[10]*f20[t] + 1123255*Sqrt[2]*f40[t] + 1487986*Sqrt[35]*f44[t]) + lu1^2*(2495493*Sqrt[2*Pi] - 3394314*Sqrt[10]*f20[t] + 20069770*Sqrt[2]*f40[t] + 3226396*Sqrt[35]*f44[t]) + lu1^4*(-24403148*Sqrt[2*Pi] + 14784924*Sqrt[10]*f20[t] + 42339780*Sqrt[2]*f40[t] + 6092664*Sqrt[35]*f44[t])) + 2*(Sqrt[3]*f42n[t]*(-3369366*Sqrt[2*Pi] + 6522516*Sqrt[10]*f20[t] + 99419460*Sqrt[2]*f40[t] - 37952568*Sqrt[35]*f44[t] + lu1^2*(176220044*Sqrt[2*Pi] + 369884515*Sqrt[10]*f20[t] + 3563867755*Sqrt[2]*f40[t] - 267663258*Sqrt[35]*f44[t]) + 22*lu1^4*(22820798*Sqrt[2*Pi] + 17745*Sqrt[10]*f20[t] - 56581665* Sqrt[2]*f40[t] - 54502626*Sqrt[35]*f44[t]) + 8*lu1^6*(89959870*Sqrt[2*Pi] - 1010009*Sqrt[10]*f20[t] - 220765020*Sqrt[2]*f40[t] - 27185680*Sqrt[35]*f44[t]) - 4*lu1*(4987983*Sqrt[2*Pi] - 13234221*Sqrt[10]*f20[t] - 318613995* Sqrt[2]*f40[t] + 106078954*Sqrt[35]*f44[t]) + 7*lu1^3*(60878246*Sqrt[2*Pi] + 89574485*Sqrt[10]*f20[t] - 255580155*Sqrt[2]*f40[t] + 113399738*Sqrt[35]*f44[t]) + 4*lu1^5*(320133814*Sqrt[2*Pi] - 47634587*Sqrt[10]*f20[t] + 1018415020*Sqrt[2]*f40[t] + 224303472*Sqrt[35]*f44[t])) - 2*Sqrt[35]*(-2 + lu1)*(143*(-25470 - 307035*lu1 - 556817*lu1^2 - 2949962*lu1^3 - 2236564*lu1^4 + 369704*lu1^5)*f22[t] + Sqrt[3]*(9488142 + 110823025*lu1 + 122327327*lu1^2 - 137285878* lu1^3 + 231121504*lu1^4 - 108742720*lu1^5)*f42[t])* f44n[t])) - 12012*cap*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (-(lu1^3*(351890*Sqrt[Pi]*f20[t] - 987756*Sqrt[5]*f20[t]^2 + 1683495*f20[t]*f40[t] + Sqrt[5]*(1975512*f22[t]^2 + 1975512*f22n[t]^2 + 561165*Sqrt[3]*f22[t]*f42[t] + 561165*Sqrt[3]*f22n[t]*f42n[t] - 128347*(5*f40[t]^2 + 4*f42[t]^2 + 4*f42n[t]^2 - 14*f44[t]^2 - 14*f44n[t]^2)))) - 2*lu1^2*(13090*Sqrt[Pi]*f20[t] - 62865*Sqrt[5]*f20[t]^2 - 1720125*f20[t]*f40[t] + Sqrt[5]*(125730*f22[t]^2 + 125730*f22n[t]^2 - 573375*Sqrt[3]*f22[t]*f42[t] - 573375*Sqrt[3]*f22n[t]*f42n[t] - 109466*(5*f40[t]^2 + 4* f42[t]^2 + 4*f42n[t]^2 - 14*f44[t]^2 - 14*f44n[t]^2))) + 22*lu1^4*(86660*Sqrt[Pi]*f20[t] - 111507*Sqrt[5]*f20[t]^2 - 510990*f20[t]*f40[t] + Sqrt[5]*(223014*f22[t]^2 + 223014*f22n[t]^2 - 170330*Sqrt[3]*f22[t]*f42[t] - 170330*Sqrt[3]*f22n[t]*f42n[t] - 55483*(5*f40[t]^2 + 4* f42[t]^2 + 4*f42n[t]^2 - 14*f44[t]^2 - 14*f44n[t]^2))) + 20*lu1^5*(248710*Sqrt[Pi]*f20[t] - 76857*Sqrt[5]*f20[t]^2 - 668679*f20[t]*f40[t] + Sqrt[5]*(153714*f22[t]^2 + 153714*f22n[t]^2 - 222893*Sqrt[3]*f22[t]*f42[t] - 222893*Sqrt[3]*f22n[t]*f42n[t] - 49400*(5*f40[t]^2 + 4* f42[t]^2 + 4*f42n[t]^2 - 14*f44[t]^2 - 14*f44n[t]^2))) + 33*lu1*(70*Sqrt[Pi]*f20[t] - 108*Sqrt[5]*f20[t]^2 - 675*f20[t]*f40[t] + Sqrt[5]*(216*f22[t]^2 + 216*f22n[t]^2 - 225*Sqrt[3]*f22[t]*f42[t] - 225*Sqrt[3]*f22n[t]*f42n[t] - 545*(5*f40[t]^2 + 4*f42[t]^2 + 4*f42n[t]^2 - 14*f44[t]^2 - 14* f44n[t]^2))) - 4*(99*Sqrt[5]*f20[t]^2 + 3300*f20[t]*f40[t] + Sqrt[5]*(-198*f22[t]^2 - 198*f22n[t]^2 + 1100*Sqrt[3]*f22[t]* f42[t] + 1100*Sqrt[3]*f22n[t]*f42n[t] + 567*(5*f40[t]^2 + 4*f42[t]^2 + 4*f42n[t]^2 - 14*f44[t]^2 - 14* f44n[t]^2)))) + 1001*(3 + 8*lu1 + 4*lu1^2)*mar*Sqrt[Pi]* (-99*Sqrt[5]*(-141 + 1531*lu1 + 17605*lu1^2 - 75499*lu1^3 + 441116*lu1^4 + 156060*lu1^5)*f20[t]^2 + 462*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Sqrt[Pi]* (6*(-1 + 3*lu1)*f20[t] + (3 + lu1)*g20[t]) - 66*f20[t]*(2*(-786 + 12681*lu1 - 13420*lu1^2 + 819121*lu1^3 + 1018696*lu1^4 + 1845500*lu1^5)*f40[t] + Sqrt[5]*(153 - 948*lu1 - 26390*lu1^2 - 24458*lu1^3 - 80503*lu1^4 + 30770*lu1^5)*g20[t] + 2*(162 - 1437*lu1 + 5480*lu1^2 - 10277*lu1^3 - 51812*lu1^4 + 9500*lu1^5)*g40[t]) + 2*(99*Sqrt[5]*(-141 + 1531*lu1 + 17605*lu1^2 - 75499*lu1^3 + 441116*lu1^4 + 156060*lu1^5)*f22[t]^2 + 99*Sqrt[5]* (-141 + 1531*lu1 + 17605*lu1^2 - 75499*lu1^3 + 441116*lu1^4 + 156060*lu1^5)*f22n[t]^2 - 27585*Sqrt[5]*f40[t]^2 - 257595*Sqrt[5]*lu1*f40[t]^2 + 5705545*Sqrt[5]*lu1^2*f40[t]^2 - 9288625*Sqrt[5]*lu1^3*f40[t]^2 - 56082280*Sqrt[5]*lu1^4*f40[t]^2 - 26126900*Sqrt[5]*lu1^5*f40[t]^2 - 22068*Sqrt[5]*f42[t]^2 - 206076*Sqrt[5]*lu1*f42[t]^2 + 4564436*Sqrt[5]*lu1^2*f42[t]^2 - 7430900*Sqrt[5]*lu1^3*f42[t]^2 - 44865824*Sqrt[5]*lu1^4*f42[t]^2 - 20901520*Sqrt[5]*lu1^5*f42[t]^2 - 22068*Sqrt[5]*f42n[t]^2 - 206076*Sqrt[5]*lu1*f42n[t]^2 + 4564436*Sqrt[5]*lu1^2*f42n[t]^2 - 7430900*Sqrt[5]*lu1^3*f42n[t]^2 - 44865824*Sqrt[5]*lu1^4* f42n[t]^2 - 20901520*Sqrt[5]*lu1^5*f42n[t]^2 + 77238*Sqrt[5]*f44[t]^2 + 721266*Sqrt[5]*lu1*f44[t]^2 - 15975526*Sqrt[5]*lu1^2*f44[t]^2 + 26008150*Sqrt[5]*lu1^3* f44[t]^2 + 157030384*Sqrt[5]*lu1^4*f44[t]^2 + 73155320*Sqrt[5]* lu1^5*f44[t]^2 + 77238*Sqrt[5]*f44n[t]^2 + 721266*Sqrt[5]*lu1* f44n[t]^2 - 15975526*Sqrt[5]*lu1^2*f44n[t]^2 + 26008150*Sqrt[5]*lu1^3*f44n[t]^2 + 157030384*Sqrt[5]*lu1^4* f44n[t]^2 + 73155320*Sqrt[5]*lu1^5*f44n[t]^2 - 60192*f40[t]*g20[t] + 315612*lu1*f40[t]*g20[t] + 11074140*lu1^2*f40[t]*g20[t] + 17161452*lu1^3*f40[t]*g20[t] - 16510428*lu1^4*f40[t]*g20[t] + 17570520*lu1^5*f40[t]*g20[t] - 20064*Sqrt[15]*f42[t]*g22[t] + 105204*Sqrt[15]*lu1*f42[t]*g22[t] + 3691380*Sqrt[15]*lu1^2*f42[t]*g22[t] + 5720484*Sqrt[15]*lu1^3* f42[t]*g22[t] - 5503476*Sqrt[15]*lu1^4*f42[t]*g22[t] + 5856840*Sqrt[15]*lu1^5*f42[t]*g22[t] - 20064*Sqrt[15]*f42n[t]* g22n[t] + 105204*Sqrt[15]*lu1*f42n[t]*g22n[t] + 3691380*Sqrt[15]*lu1^2*f42n[t]*g22n[t] + 5720484*Sqrt[15]*lu1^3* f42n[t]*g22n[t] - 5503476*Sqrt[15]*lu1^4*f42n[t]*g22n[t] + 5856840*Sqrt[15]*lu1^5*f42n[t]*g22n[t] - 21510*Sqrt[5]*f40[t]* g40[t] - 126870*Sqrt[5]*lu1*f40[t]*g40[t] + 631420*Sqrt[5]*lu1^2* f40[t]*g40[t] + 5576150*Sqrt[5]*lu1^3*f40[t]*g40[t] + 6617270*Sqrt[5]*lu1^4*f40[t]*g40[t] - 2677100*Sqrt[5]*lu1^5*f40[t]* g40[t] - 17208*Sqrt[5]*f42[t]*g42[t] - 101496*Sqrt[5]*lu1*f42[t]* g42[t] + 505136*Sqrt[5]*lu1^2*f42[t]*g42[t] + 4460920*Sqrt[5]*lu1^3*f42[t]*g42[t] + 5293816*Sqrt[5]*lu1^4*f42[t]* g42[t] - 2141680*Sqrt[5]*lu1^5*f42[t]*g42[t] - 22*Sqrt[5]*f22[t]*(Sqrt[3]*(-786 + 12681*lu1 - 13420*lu1^2 + 819121*lu1^3 + 1018696*lu1^4 + 1845500*lu1^5)*f42[t] + (-459 + 2844*lu1 + 79170*lu1^2 + 73374*lu1^3 + 241509*lu1^4 - 92310*lu1^5)*g22[t] + Sqrt[3]*(162 - 1437*lu1 + 5480*lu1^2 - 10277*lu1^3 - 51812*lu1^4 + 9500*lu1^5)*g42[t]) - 17208*Sqrt[5]*f42n[t]*g42n[t] - 101496*Sqrt[5]*lu1*f42n[t]* g42n[t] + 505136*Sqrt[5]*lu1^2*f42n[t]*g42n[t] + 4460920*Sqrt[5]*lu1^3*f42n[t]*g42n[t] + 5293816*Sqrt[5]*lu1^4* f42n[t]*g42n[t] - 2141680*Sqrt[5]*lu1^5*f42n[t]*g42n[t] - 22*Sqrt[5]*f22n[t]*(Sqrt[3]*(-786 + 12681*lu1 - 13420*lu1^2 + 819121*lu1^3 + 1018696*lu1^4 + 1845500*lu1^5)*f42n[t] + (-459 + 2844*lu1 + 79170*lu1^2 + 73374*lu1^3 + 241509*lu1^4 - 92310*lu1^5)*g22n[t] + Sqrt[3]*(162 - 1437*lu1 + 5480*lu1^2 - 10277*lu1^3 - 51812*lu1^4 + 9500*lu1^5)*g42n[t]) + 60228*Sqrt[5]*f44[t]*g44[t] + 355236*Sqrt[5]*lu1*f44[t]*g44[t] - 1767976*Sqrt[5]*lu1^2*f44[t]*g44[t] - 15613220*Sqrt[5]*lu1^3* f44[t]*g44[t] - 18528356*Sqrt[5]*lu1^4*f44[t]*g44[t] + 7495880*Sqrt[5]*lu1^5*f44[t]*g44[t] + 60228*Sqrt[5]*f44n[t]* g44n[t] + 355236*Sqrt[5]*lu1*f44n[t]*g44n[t] - 1767976*Sqrt[5]*lu1^2*f44n[t]*g44n[t] - 15613220*Sqrt[5]*lu1^3* f44n[t]*g44n[t] - 18528356*Sqrt[5]*lu1^4*f44n[t]*g44n[t] + 7495880*Sqrt[5]*lu1^5*f44n[t]*g44n[t])))/(231231*(3 - 19*lu1)^2* (1 + 2*lu1)^3*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) cap = (1 + El)/Ca mar = El/Ca eqF22f = -(cap*(2145*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f20[t]^2* (22*(23004 - 142803*lu1 - 10334520*lu1^2 + 40778730*lu1^3 + 1086982888*lu1^4 - 377560219*lu1^5 - 575069212*lu1^6 + 52599181772*lu1^7 + 19114827176*lu1^8 - 9505776256*lu1^9 + 723511840*lu1^10)*f22[t] + Sqrt[3]*(-560232 + 4560183*lu1 + 102917038*lu1^2 + 654932746*lu1^3 - 7636545384*lu1^4 + 11781016671*lu1^5 - 124671440374*lu1^6 - 29859274664*lu1^7 + 749320735952*lu1^8 + 62772227632*lu1^9 - 189745080800*lu1^10)* f42[t]) - 12*f20[t]*(143*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)* f22[t]*(Sqrt[5]*(3987288 - 24970455*lu1 - 1441551391*lu1^2 + 6641757428*lu1^3 + 110001841050*lu1^4 + 34835494461*lu1^5 + 351650990305*lu1^6 + 146724260558*lu1^7 + 256883190796*lu1^8 + 1071713741720*lu1^9 + 517565206400*lu1^10)*f40[t] + 5*Sqrt[14]*(1142352 - 6803424*lu1 - 446211451*lu1^2 + 2432230058* lu1^3 + 34121765222*lu1^4 + 15538837044*lu1^5 + 75659849977* lu1^6 + 38954995298*lu1^7 + 335401308916*lu1^8 + 378161989784* lu1^9 + 109273375200*lu1^10)*f44[t]) + 5*(Sqrt[15]*(2078587386 - 56812816575*lu1 - 1921231167744*lu1^2 + 39725813261565*lu1^3 + 494010282282818*lu1^4 - 2197570750610137*lu1^5 - 41510918243582316*lu1^6 - 102673954334380953*lu1^7 + 52476451979551160*lu1^8 + 199876681332958276*lu1^9 + 24191438603721672*lu1^10 + 237631385109701568*lu1^11 + 500819251351464160*lu1^12 + 184894928332217600*lu1^13)*f40[t]*f42[t] - Sqrt[14]*(Sqrt[3]*(-2267025246 + 30759602193*lu1 + 2294337870804* lu1^2 - 15872415372439*lu1^3 - 484890537110670*lu1^4 + 1767738230790031*lu1^5 + 29203278178473096*lu1^6 + 55496385808509923*lu1^7 + 23300428052923032*lu1^8 + 138721311449683940*lu1^9 + 213174491990074696*lu1^10 + 65212477378941440*lu1^11 + 73532407921016800*lu1^12 + 30974154661856000*lu1^13)*f42[t]*f44[t] + (-143*(-10281168 + 146907216*lu1 + 11554658451*lu1^2 - 92737522371*lu1^3 - 3331548154154*lu1^4 + 15433782039682* lu1^5 + 263380237618639*lu1^6 + 430095650253897*lu1^7 + 676581170091608*lu1^8 + 995325550917832*lu1^9 + 2750560468032656*lu1^10 + 5771832977541904*lu1^11 + 4264156987263360*lu1^12 + 1009685986848000*lu1^13)* f22n[t] + Sqrt[3]*(-2267025246 + 30759602193*lu1 + 2294337870804*lu1^2 - 15872415372439*lu1^3 - 484890537110670*lu1^4 + 1767738230790031*lu1^5 + 29203278178473096*lu1^6 + 55496385808509923*lu1^7 + 23300428052923032*lu1^8 + 138721311449683940*lu1^9 + 213174491990074696*lu1^10 + 65212477378941440*lu1^11 + 73532407921016800*lu1^12 + 30974154661856000*lu1^13)* f42n[t])*f44n[t]))) + 2*(47190*(-207036 + 3010527*lu1 + 244386639*lu1^2 - 1935730548*lu1^3 - 80860968882*lu1^4 + 276757725351*lu1^5 + 8012535500531*lu1^6 + 6866909755198*lu1^7 - 3767688902996* lu1^8 + 366819359271136*lu1^9 + 619980067029616*lu1^10 + 109697566994464*lu1^11 - 82735508180800*lu1^12 + 6685249401600*lu1^13)*f22[t]^3 - 715*Sqrt[3]* (-87291432 + 1258316775*lu1 + 96968901897*lu1^2 - 770679067842*lu1^3 - 27537523638306*lu1^4 + 118583416811859* lu1^5 + 2152791801938045*lu1^6 + 3437399462471544*lu1^7 + 6191211067791396*lu1^8 + 9269322860533248*lu1^9 + 16994253913839216*lu1^10 + 38822877985303680*lu1^11 + 34870184354104000*lu1^12 + 9830732441376000*lu1^13)*f22[t]^2* f42[t] - 715*Sqrt[3]*(-36082584 + 504569817*lu1 + 41686999515*lu1^2 - 342171200610*lu1^3 - 12441054211542*lu1^4 + 66621967664325*lu1^5 + 1007771049485623*lu1^6 + 1723748340575220*lu1^7 + 1927762973307900*lu1^8 + 2674583750480736*lu1^9 + 16012471702552656*lu1^10 + 30439117745199168*lu1^11 + 16299699493056320*lu1^12 + 2285499400800000*lu1^13)*f22n[t]^2*f42[t] + 30*(-1180622088 + 8866497501*lu1 + 1240445611167*lu1^2 - 1972858213938*lu1^3 - 240165332262298*lu1^4 + 776410985439989* lu1^5 + 11524729072959243*lu1^6 + 15953800772787204*lu1^7 + 30594434034580064*lu1^8 + 154010153920502524*lu1^9 + 165928728643486440*lu1^10 + 108317204311631472*lu1^11 + 180354118778628640*lu1^12 + 69454348079446400*lu1^13)*f22n[t]* (15*f42[t]*f42n[t] + Sqrt[70]*f40[t]*f44n[t]) + 6*Sqrt[3]*(-4155801228 + 48905063577*lu1 + 3832549391097*lu1^2 - 19235319068412*lu1^3 - 519494416449470*lu1^4 + 411914242977265*lu1^5 + 7500453803415509*lu1^6 + 37264160965963234*lu1^7 + 107458773975482876*lu1^8 + 146095912942566880*lu1^9 + 115840836509126672*lu1^10 + 80855839485858400*lu1^11 + 34002239415185600*lu1^12 + 3486239100512000*lu1^13)*(5*f40[t]^2*f42[t] - 8*Sqrt[70]*f40[t]* (f42[t]*f44[t] + f42n[t]*f44n[t]) + 10*f42[t]* (f42[t]^2 + f42n[t]^2 - 7*(f44[t]^2 + f44n[t]^2))) + 5*f22[t]*(9438*(-207036 + 3010527*lu1 + 244386639*lu1^2 - 1935730548*lu1^3 - 80860968882*lu1^4 + 276757725351*lu1^5 + 8012535500531*lu1^6 + 6866909755198*lu1^7 - 3767688902996* lu1^8 + 366819359271136*lu1^9 + 619980067029616*lu1^10 + 109697566994464*lu1^11 - 82735508180800*lu1^12 + 6685249401600* lu1^13)*f22n[t]^2 - 286*Sqrt[3]*(-25604424 + 376873479*lu1 + 27640951191*lu1^2 - 214253933616*lu1^3 - 7548234713382*lu1^4 + 25980724573767*lu1^5 + 572510376226211*lu1^6 + 856825560948162* lu1^7 + 2131724047241748*lu1^8 + 3297369555026256*lu1^9 + 490891105643280*lu1^10 + 4191880120052256*lu1^11 + 9285242430523840*lu1^12 + 3772616520288000*lu1^13)*f22n[t]* f42n[t] - 3*((4652118360 - 12871995273*lu1 - 3947559398139* lu1^2 - 10736424331550*lu1^3 - 276395667105150*lu1^4 - 3118567147198297*lu1^5 + 69649473837734073*lu1^6 - 7342592429807788*lu1^7 - 1188173742832886480*lu1^8 - 2704361883985339540*lu1^9 - 1598369102570777304*lu1^10 + 1606110212693361968*lu1^11 + 2364734571246917280*lu1^12 + 648388537684182400*lu1^13)*f40[t]^2 - 2*Sqrt[70]* (-1180622088 + 8866497501*lu1 + 1240445611167*lu1^2 - 1972858213938*lu1^3 - 240165332262298*lu1^4 + 776410985439989*lu1^5 + 11524729072959243*lu1^6 + 15953800772787204*lu1^7 + 30594434034580064*lu1^8 + 154010153920502524*lu1^9 + 165928728643486440*lu1^10 + 108317204311631472*lu1^11 + 180354118778628640*lu1^12 + 69454348079446400*lu1^13)*f40[t]*f44[t] + 2* (2*(8536823874 - 94281555465*lu1 - 8236570505898*lu1^2 + 41262604844573*lu1^3 + 1196391111648286*lu1^4 - 6474292773249247*lu1^5 - 47022733080072630*lu1^6 - 162183553254040061*lu1^7 - 648690938557922304*lu1^8 - 1691339799381470328*lu1^9 - 1355743662933869520*lu1^10 + 661576276365672400*lu1^11 + 1051947121249722560*lu1^12 + 265998978896246400*lu1^13)*f42[t]^2 + (-635683572 - 55565648415*lu1 + 2133543155709*lu1^2 + 52932336480076* lu1^3 - 1209697760637898*lu1^4 - 1302420764898659*lu1^5 + 78825469934243385*lu1^6 - 85060094916272062*lu1^7 - 838465366597143648*lu1^8 - 1072527289955402796*lu1^9 - 222556396215442440*lu1^10 + 2947910617405816880*lu1^11 + 4809206024178874720*lu1^12 + 1573813178984188800*lu1^13)* f42n[t]^2 + 7*(4052078568 - 74367644697*lu1 - 3822868915299* lu1^2 + 45558175863514*lu1^3 + 730954083533026*lu1^4 - 3622514152102761*lu1^5 - 47369463792668559*lu1^6 - 132065290248796948*lu1^7 - 135989818743422512*lu1^8 - 289915622406384068*lu1^9 - 342915709371703224*lu1^10 + 408179723957312240*lu1^11 + 755594838483836960*lu1^12 + 244403125123606400*lu1^13)*(f44[t]^2 + f44n[t]^2)))))))/ (231231*(-3 + 13*lu1 + 38*lu1^2)^3*(-1 + 7*lu1 + 170*lu1^2)^2* (-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*Pi) + (-3*(-1 + 17*lu1)*(77077*(3 - 19*lu1)^2*(1 + 2*lu1)^3* (3 + 32*lu1 + 20*lu1^2)*Pi*sc*f22n[t] - 2*Sqrt[Pi/3]* (143*Sqrt[10]*(-6 - lu1 + 2*lu1^2)*f22[t]* (11*(-3186 - 16953*lu1 + 193151*lu1^2 + 356298*lu1^3 - 738986* lu1^4 + 1061340*lu1^5)*f22n[t] + 5*Sqrt[3]*(10086 + 94823* lu1 + 119749*lu1^2 + 638622*lu1^3 - 254544*lu1^4)*f42n[t]) - 5*(286*Sqrt[30]*(12240 + 99630*lu1 - 903457*lu1^2 - 1102101* lu1^3 - 1891088*lu1^4 + 622416*lu1^5 + 352488*lu1^6)*f22n[t]* f42[t] - 15*Sqrt[10]*(4630620 + 47697816*lu1 - 38909833*lu1^2 - 104110629*lu1^3 + 255943248*lu1^4 - 270069106*lu1^5 + 84931524* lu1^6)*f42[t]*f42n[t] - Sqrt[7]*(22022*(-153 - 906*lu1 + 8002*lu1^2 + 19351*lu1^3 + 22798*lu1^4 + 58148*lu1^5 + 32680*lu1^6)*Sqrt[Pi] - (-2 + lu1)*(429*Sqrt[5]*(-14166 - 136797*lu1 + 100563*lu1^2 - 209324*lu1^3 + 713724*lu1^4 + 404688*lu1^5)*f20[t] - 10*(-2315310 - 25006563*lu1 + 6951635*lu1^2 + 55531132*lu1^3 - 100206058*lu1^4 + 84931524*lu1^5)*f40[t]))*f44n[t]))) - 6006*cap*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (8*(8505*Sqrt[3]*f40[t]*f42[t] + 22*Sqrt[5]*f20[t]* (9*f22[t] - 25*Sqrt[3]*f42[t]) + 567*Sqrt[210]*f42[t]*f44[t] - 550*f22[t]*(f40[t] + Sqrt[70]*f44[t]) - 550*Sqrt[70]*f22n[t]* f44n[t] + 567*Sqrt[210]*f42n[t]*f44n[t]) + 44*lu1^4*(86660*Sqrt[Pi]*f22[t] - 85165*f22[t]*f40[t] + 832245*Sqrt[3]*f40[t]*f42[t] + Sqrt[5]*f20[t]*(223014*f22[t] - 85165*Sqrt[3]*f42[t]) - 85165*Sqrt[70]*f22[t]*f44[t] + 55483*Sqrt[210]*f42[t]*f44[t] - 85165*Sqrt[70]*f22n[t]*f44n[t] + 55483*Sqrt[210]*f42n[t]*f44n[t]) + 20*lu1^5* (497420*Sqrt[Pi]*f22[t] - 222893*f22[t]*f40[t] + 1482000*Sqrt[3]*f40[t]*f42[t] + 11*Sqrt[5]*f20[t]* (27948*f22[t] - 20263*Sqrt[3]*f42[t]) - 222893*Sqrt[70]*f22[t]* f44[t] + 98800*Sqrt[210]*f42[t]*f44[t] - 222893*Sqrt[70]*f22n[t]* f44n[t] + 98800*Sqrt[210]*f42n[t]*f44n[t]) - 2*lu1^2*(26180*Sqrt[Pi]*f22[t] - 573375*f22[t]*f40[t] + 3283980*Sqrt[3]*f40[t]*f42[t] + 165*Sqrt[5]*f20[t]* (1524*f22[t] - 3475*Sqrt[3]*f42[t]) - 573375*Sqrt[70]*f22[t]* f44[t] + 218932*Sqrt[210]*f42[t]*f44[t] - 573375*Sqrt[70]*f22n[t]* f44n[t] + 218932*Sqrt[210]*f42n[t]*f44n[t]) - lu1^3*(703780*Sqrt[Pi]*f22[t] + 561165*f22[t]*f40[t] + 3850410*Sqrt[3]*f40[t]*f42[t] + 33*Sqrt[5]*f20[t]* (119728*f22[t] + 17005*Sqrt[3]*f42[t]) + 561165*Sqrt[70]*f22[t]* f44[t] + 256694*Sqrt[210]*f42[t]*f44[t] + 561165*Sqrt[70]*f22n[t]* f44n[t] + 256694*Sqrt[210]*f42n[t]*f44n[t]) + 33*lu1*(140*Sqrt[Pi]*f22[t] + 9*Sqrt[5]*f20[t]*(48*f22[t] - 25*Sqrt[3]*f42[t]) - 5*(-3270*Sqrt[3]*f40[t]*f42[t] + 45*f22[t]*(f40[t] + Sqrt[70]*f44[t]) + Sqrt[70]*(-218*Sqrt[3]* f42[t]*f44[t] + 45*f22n[t]*f44n[t] - 218*Sqrt[3]*f42n[t]* f44n[t])))) + 2002*(3 + 8*lu1 + 4*lu1^2)*mar*Sqrt[Pi]* (8646*f22[t]*f40[t] - 139491*lu1*f22[t]*f40[t] + 147620*lu1^2*f22[t]*f40[t] - 9010331*lu1^3*f22[t]*f40[t] - 11205656*lu1^4*f22[t]*f40[t] - 20300500*lu1^5*f22[t]*f40[t] + 82755*Sqrt[3]*f40[t]*f42[t] + 772785*Sqrt[3]*lu1*f40[t]*f42[t] - 17116635*Sqrt[3]*lu1^2*f40[t]*f42[t] + 27865875*Sqrt[3]*lu1^3*f40[t]* f42[t] + 168246840*Sqrt[3]*lu1^4*f40[t]*f42[t] + 78380700*Sqrt[3]*lu1^5*f40[t]*f42[t] + 8646*Sqrt[70]*f22[t]*f44[t] - 139491*Sqrt[70]*lu1*f22[t]*f44[t] + 147620*Sqrt[70]*lu1^2*f22[t]* f44[t] - 9010331*Sqrt[70]*lu1^3*f22[t]*f44[t] - 11205656*Sqrt[70]*lu1^4*f22[t]*f44[t] - 20300500*Sqrt[70]*lu1^5* f22[t]*f44[t] + 5517*Sqrt[210]*f42[t]*f44[t] + 51519*Sqrt[210]*lu1*f42[t]*f44[t] - 1141109*Sqrt[210]*lu1^2*f42[t]* f44[t] + 1857725*Sqrt[210]*lu1^3*f42[t]*f44[t] + 11216456*Sqrt[210]*lu1^4*f42[t]*f44[t] + 5225380*Sqrt[210]*lu1^5* f42[t]*f44[t] + 8646*Sqrt[70]*f22n[t]*f44n[t] - 139491*Sqrt[70]*lu1*f22n[t]*f44n[t] + 147620*Sqrt[70]*lu1^2*f22n[t]* f44n[t] - 9010331*Sqrt[70]*lu1^3*f22n[t]*f44n[t] - 11205656*Sqrt[70]*lu1^4*f22n[t]*f44n[t] - 20300500*Sqrt[70]*lu1^5* f22n[t]*f44n[t] + 5517*Sqrt[210]*f42n[t]*f44n[t] + 51519*Sqrt[210]*lu1*f42n[t]*f44n[t] - 1141109*Sqrt[210]*lu1^2* f42n[t]*f44n[t] + 1857725*Sqrt[210]*lu1^3*f42n[t]*f44n[t] + 11216456*Sqrt[210]*lu1^4*f42n[t]*f44n[t] + 5225380*Sqrt[210]*lu1^5* f42n[t]*f44n[t] + 5049*Sqrt[5]*f22[t]*g20[t] - 31284*Sqrt[5]*lu1*f22[t]*g20[t] - 870870*Sqrt[5]*lu1^2*f22[t]* g20[t] - 807114*Sqrt[5]*lu1^3*f22[t]*g20[t] - 2656599*Sqrt[5]*lu1^4* f22[t]*g20[t] + 1015410*Sqrt[5]*lu1^5*f22[t]*g20[t] - 10032*Sqrt[15]*f42[t]*g20[t] + 52602*Sqrt[15]*lu1*f42[t]*g20[t] + 1845690*Sqrt[15]*lu1^2*f42[t]*g20[t] + 2860242*Sqrt[15]*lu1^3*f42[t]* g20[t] - 2751738*Sqrt[15]*lu1^4*f42[t]*g20[t] + 2928420*Sqrt[15]*lu1^5*f42[t]*g20[t] - 10032*f40[t]*g22[t] + 52602*lu1*f40[t]*g22[t] + 1845690*lu1^2*f40[t]*g22[t] + 2860242*lu1^3*f40[t]*g22[t] - 2751738*lu1^4*f40[t]*g22[t] + 2928420*lu1^5*f40[t]*g22[t] - 10032*Sqrt[70]*f44[t]*g22[t] + 52602*Sqrt[70]*lu1*f44[t]*g22[t] + 1845690*Sqrt[70]*lu1^2*f44[t]* g22[t] + 2860242*Sqrt[70]*lu1^3*f44[t]*g22[t] - 2751738*Sqrt[70]*lu1^4*f44[t]*g22[t] + 2928420*Sqrt[70]*lu1^5*f44[t]* g22[t] + 231*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)* Sqrt[Pi]*(6*(-1 + 3*lu1)*f22[t] + (3 + lu1)*g22[t]) - 10032*Sqrt[70]*f44n[t]*g22n[t] + 52602*Sqrt[70]*lu1*f44n[t]* g22n[t] + 1845690*Sqrt[70]*lu1^2*f44n[t]*g22n[t] + 2860242*Sqrt[70]*lu1^3*f44n[t]*g22n[t] - 2751738*Sqrt[70]*lu1^4* f44n[t]*g22n[t] + 2928420*Sqrt[70]*lu1^5*f44n[t]*g22n[t] - 1782*f22[t]*g40[t] + 15807*lu1*f22[t]*g40[t] - 60280*lu1^2*f22[t]* g40[t] + 113047*lu1^3*f22[t]*g40[t] + 569932*lu1^4*f22[t]*g40[t] - 104500*lu1^5*f22[t]*g40[t] + 32265*Sqrt[3]*f42[t]*g40[t] + 190305*Sqrt[3]*lu1*f42[t]*g40[t] - 947130*Sqrt[3]*lu1^2*f42[t]* g40[t] - 8364225*Sqrt[3]*lu1^3*f42[t]*g40[t] - 9925905*Sqrt[3]*lu1^4*f42[t]*g40[t] + 4015650*Sqrt[3]*lu1^5*f42[t]* g40[t] + 32265*Sqrt[3]*f40[t]*g42[t] + 190305*Sqrt[3]*lu1*f40[t]* g42[t] - 947130*Sqrt[3]*lu1^2*f40[t]*g42[t] - 8364225*Sqrt[3]*lu1^3* f40[t]*g42[t] - 9925905*Sqrt[3]*lu1^4*f40[t]*g42[t] + 4015650*Sqrt[3]*lu1^5*f40[t]*g42[t] + 2151*Sqrt[210]*f44[t]*g42[t] + 12687*Sqrt[210]*lu1*f44[t]*g42[t] - 63142*Sqrt[210]*lu1^2*f44[t]* g42[t] - 557615*Sqrt[210]*lu1^3*f44[t]*g42[t] - 661727*Sqrt[210]*lu1^4*f44[t]*g42[t] + 267710*Sqrt[210]*lu1^5*f44[t]* g42[t] + 11*Sqrt[5]*f20[t]*(9*(-141 + 1531*lu1 + 17605*lu1^2 - 75499*lu1^3 + 441116*lu1^4 + 156060*lu1^5)*f22[t] - Sqrt[3]*(-786 + 12681*lu1 - 13420*lu1^2 + 819121*lu1^3 + 1018696*lu1^4 + 1845500*lu1^5)*f42[t] + 459*g22[t] - 2844*lu1*g22[t] - 79170*lu1^2*g22[t] - 73374*lu1^3*g22[t] - 241509*lu1^4*g22[t] + 92310*lu1^5*g22[t] - 162*Sqrt[3]*g42[t] + 1437*Sqrt[3]*lu1*g42[t] - 5480*Sqrt[3]*lu1^2*g42[t] + 10277*Sqrt[3]*lu1^3*g42[t] + 51812*Sqrt[3]*lu1^4*g42[t] - 9500*Sqrt[3]*lu1^5*g42[t]) + 2151*Sqrt[210]*f44n[t]*g42n[t] + 12687*Sqrt[210]*lu1*f44n[t]*g42n[t] - 63142*Sqrt[210]*lu1^2*f44n[t]* g42n[t] - 557615*Sqrt[210]*lu1^3*f44n[t]*g42n[t] - 661727*Sqrt[210]*lu1^4*f44n[t]*g42n[t] + 267710*Sqrt[210]*lu1^5* f44n[t]*g42n[t] - 1782*Sqrt[70]*f22[t]*g44[t] + 15807*Sqrt[70]*lu1*f22[t]*g44[t] - 60280*Sqrt[70]*lu1^2*f22[t]* g44[t] + 113047*Sqrt[70]*lu1^3*f22[t]*g44[t] + 569932*Sqrt[70]*lu1^4*f22[t]*g44[t] - 104500*Sqrt[70]*lu1^5*f22[t]* g44[t] + 2151*Sqrt[210]*f42[t]*g44[t] + 12687*Sqrt[210]*lu1*f42[t]* g44[t] - 63142*Sqrt[210]*lu1^2*f42[t]*g44[t] - 557615*Sqrt[210]*lu1^3*f42[t]*g44[t] - 661727*Sqrt[210]*lu1^4*f42[t]* g44[t] + 267710*Sqrt[210]*lu1^5*f42[t]*g44[t] - 1782*Sqrt[70]*f22n[t]*g44n[t] + 15807*Sqrt[70]*lu1*f22n[t]*g44n[t] - 60280*Sqrt[70]*lu1^2*f22n[t]*g44n[t] + 113047*Sqrt[70]*lu1^3*f22n[t]* g44n[t] + 569932*Sqrt[70]*lu1^4*f22n[t]*g44n[t] - 104500*Sqrt[70]*lu1^5*f22n[t]*g44n[t] + 2151*Sqrt[210]*f42n[t]* g44n[t] + 12687*Sqrt[210]*lu1*f42n[t]*g44n[t] - 63142*Sqrt[210]*lu1^2*f42n[t]*g44n[t] - 557615*Sqrt[210]*lu1^3* f42n[t]*g44n[t] - 661727*Sqrt[210]*lu1^4*f42n[t]*g44n[t] + 267710*Sqrt[210]*lu1^5*f42n[t]*g44n[t]))/(231231*(3 - 19*lu1)^2* (1 + 2*lu1)^3*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (mar*(56628*(838836 - 24698925*lu1 - 522929736*lu1^2 + 13937397381*lu1^3 + 16950777678*lu1^4 - 404170381507*lu1^5 + 2259314626540*lu1^6 - 141647252707397*lu1^7 - 596299984910678* lu1^8 + 522603170092576*lu1^9 + 1961438478246832*lu1^10 + 1497036075586160*lu1^11 + 1659597392272800*lu1^12 + 853044114384000*lu1^13)*f22[t]^3 - 76094750160*Sqrt[3]*f22n[t]^2* f42[t] + 2063400484860*Sqrt[3]*lu1*f22n[t]^2*f42[t] + 54565303813020*Sqrt[3]*lu1^2*f22n[t]^2*f42[t] - 1029707685658080*Sqrt[3]*lu1^3*f22n[t]^2*f42[t] - 9918818149108440*Sqrt[3]*lu1^4*f22n[t]^2*f42[t] - 56818515983632260*Sqrt[3]*lu1^5*f22n[t]^2*f42[t] + 2013969485314601100*Sqrt[3]*lu1^6*f22n[t]^2*f42[t] + 15520574105886032040*Sqrt[3]*lu1^7*f22n[t]^2*f42[t] + 10710416655453440640*Sqrt[3]*lu1^8*f22n[t]^2*f42[t] - 36839192160327722880*Sqrt[3]*lu1^9*f22n[t]^2*f42[t] - 99427027683445999680*Sqrt[3]*lu1^10*f22n[t]^2*f42[t] - 118808890663808442240*Sqrt[3]*lu1^11*f22n[t]^2*f42[t] - 62155200896147673600*Sqrt[3]*lu1^12*f22n[t]^2*f42[t] - 17435104750103040000*Sqrt[3]*lu1^13*f22n[t]^2*f42[t] - 309262056480*Sqrt[3]*f40[t]^2*f42[t] + 6252764540760*Sqrt[3]*lu1* f40[t]^2*f42[t] + 265106320945200*Sqrt[3]*lu1^2*f40[t]^2*f42[t] - 4264365259182600*Sqrt[3]*lu1^3*f40[t]^2*f42[t] - 24222925840913520*Sqrt[3]*lu1^4*f40[t]^2*f42[t] + 434130707630807880*Sqrt[3]*lu1^5*f40[t]^2*f42[t] - 164219612949431280*Sqrt[3]*lu1^6*f40[t]^2*f42[t] - 5641077347846597400*Sqrt[3]*lu1^7*f40[t]^2*f42[t] - 6555726674555031600*Sqrt[3]*lu1^8*f40[t]^2*f42[t] + 8554478822074997760*Sqrt[3]*lu1^9*f40[t]^2*f42[t] + 26916706217984964480*Sqrt[3]*lu1^10*f40[t]^2*f42[t] + 29096400643982966400*Sqrt[3]*lu1^11*f40[t]^2*f42[t] + 14486074910320800000*Sqrt[3]*lu1^12*f40[t]^2*f42[t] + 2616025842622080000*Sqrt[3]*lu1^13*f40[t]^2*f42[t] - 618524112960*Sqrt[3]*f42[t]^3 + 12505529081520*Sqrt[3]*lu1*f42[t]^3 + 530212641890400*Sqrt[3]*lu1^2*f42[t]^3 - 8528730518365200*Sqrt[3]* lu1^3*f42[t]^3 - 48445851681827040*Sqrt[3]*lu1^4*f42[t]^3 + 868261415261615760*Sqrt[3]*lu1^5*f42[t]^3 - 328439225898862560* Sqrt[3]*lu1^6*f42[t]^3 - 11282154695693194800*Sqrt[3]*lu1^7* f42[t]^3 - 13111453349110063200*Sqrt[3]*lu1^8*f42[t]^3 + 17108957644149995520*Sqrt[3]*lu1^9*f42[t]^3 + 53833412435969928960* Sqrt[3]*lu1^10*f42[t]^3 + 58192801287965932800*Sqrt[3]*lu1^11* f42[t]^3 + 28972149820641600000*Sqrt[3]*lu1^12*f42[t]^3 + 5232051685244160000*Sqrt[3]*lu1^13*f42[t]^3 - 78449799240*f22n[t]* f42[t]*f42n[t] - 4537755966600*lu1*f22n[t]*f42[t]*f42n[t] + 235735900260840*lu1^2*f22n[t]*f42[t]*f42n[t] - 651491703161640*lu1^3* f22n[t]*f42[t]*f42n[t] - 43511821818918120*lu1^4*f22n[t]*f42[t]* f42n[t] + 2536508817432004680*lu1^5*f22n[t]*f42[t]*f42n[t] - 8509704309984875400*lu1^6*f22n[t]*f42[t]*f42n[t] - 149207633237396083320*lu1^7*f22n[t]*f42[t]*f42n[t] - 239376547649777053680*lu1^8*f22n[t]*f42[t]*f42n[t] + 234086200873232916960*lu1^9*f22n[t]*f42[t]*f42n[t] + 589419051895561302720*lu1^10*f22n[t]*f42[t]*f42n[t] + 757456245596074406400*lu1^11*f22n[t]*f42[t]*f42n[t] + 809723924986665024000*lu1^12*f22n[t]*f42[t]*f42n[t] + 128736460917792000000*lu1^13*f22n[t]*f42[t]*f42n[t] - 618524112960*Sqrt[3]*f42[t]*f42n[t]^2 + 12505529081520*Sqrt[3]*lu1* f42[t]*f42n[t]^2 + 530212641890400*Sqrt[3]*lu1^2*f42[t]*f42n[t]^2 - 8528730518365200*Sqrt[3]*lu1^3*f42[t]*f42n[t]^2 - 48445851681827040*Sqrt[3]*lu1^4*f42[t]*f42n[t]^2 + 868261415261615760*Sqrt[3]*lu1^5*f42[t]*f42n[t]^2 - 328439225898862560*Sqrt[3]*lu1^6*f42[t]*f42n[t]^2 - 11282154695693194800*Sqrt[3]*lu1^7*f42[t]*f42n[t]^2 - 13111453349110063200*Sqrt[3]*lu1^8*f42[t]*f42n[t]^2 + 17108957644149995520*Sqrt[3]*lu1^9*f42[t]*f42n[t]^2 + 53833412435969928960*Sqrt[3]*lu1^10*f42[t]*f42n[t]^2 + 58192801287965932800*Sqrt[3]*lu1^11*f42[t]*f42n[t]^2 + 28972149820641600000*Sqrt[3]*lu1^12*f42[t]*f42n[t]^2 + 5232051685244160000*Sqrt[3]*lu1^13*f42[t]*f42n[t]^2 + 494819290368*Sqrt[210]*f40[t]*f42[t]*f44[t] - 10004423265216*Sqrt[210]*lu1*f40[t]*f42[t]*f44[t] - 424170113512320*Sqrt[210]*lu1^2*f40[t]*f42[t]*f44[t] + 6822984414692160*Sqrt[210]*lu1^3*f40[t]*f42[t]*f44[t] + 38756681345461632*Sqrt[210]*lu1^4*f40[t]*f42[t]*f44[t] - 694609132209292608*Sqrt[210]*lu1^5*f40[t]*f42[t]*f44[t] + 262751380719090048*Sqrt[210]*lu1^6*f40[t]*f42[t]*f44[t] + 9025723756554555840*Sqrt[210]*lu1^7*f40[t]*f42[t]*f44[t] + 10489162679288050560*Sqrt[210]*lu1^8*f40[t]*f42[t]*f44[t] - 13687166115319996416*Sqrt[210]*lu1^9*f40[t]*f42[t]*f44[t] - 43066729948775943168*Sqrt[210]*lu1^10*f40[t]*f42[t]*f44[t] - 46554241030372746240*Sqrt[210]*lu1^11*f40[t]*f42[t]*f44[t] - 23177719856513280000*Sqrt[210]*lu1^12*f40[t]*f42[t]*f44[t] - 4185641348195328000*Sqrt[210]*lu1^13*f40[t]*f42[t]*f44[t] + 4329668790720*Sqrt[3]*f42[t]*f44[t]^2 - 87538703570640*Sqrt[3]*lu1* f42[t]*f44[t]^2 - 3711488493232800*Sqrt[3]*lu1^2*f42[t]*f44[t]^2 + 59701113628556400*Sqrt[3]*lu1^3*f42[t]*f44[t]^2 + 339120961772789280*Sqrt[3]*lu1^4*f42[t]*f44[t]^2 - 6077829906831310320*Sqrt[3]*lu1^5*f42[t]*f44[t]^2 + 2299074581292037920*Sqrt[3]*lu1^6*f42[t]*f44[t]^2 + 78975082869852363600*Sqrt[3]*lu1^7*f42[t]*f44[t]^2 + 91780173443770442400*Sqrt[3]*lu1^8*f42[t]*f44[t]^2 - 119762703509049968640*Sqrt[3]*lu1^9*f42[t]*f44[t]^2 - 376833887051789502720*Sqrt[3]*lu1^10*f42[t]*f44[t]^2 - 407349609015761529600*Sqrt[3]*lu1^11*f42[t]*f44[t]^2 - 202805048744491200000*Sqrt[3]*lu1^12*f42[t]*f44[t]^2 - 36624361796709120000*Sqrt[3]*lu1^13*f42[t]*f44[t]^2 - 5229986616*Sqrt[70]*f22n[t]*f40[t]*f44n[t] - 302517064440*Sqrt[70]* lu1*f22n[t]*f40[t]*f44n[t] + 15715726684056*Sqrt[70]*lu1^2*f22n[t]* f40[t]*f44n[t] - 43432780210776*Sqrt[70]*lu1^3*f22n[t]*f40[t]* f44n[t] - 2900788121261208*Sqrt[70]*lu1^4*f22n[t]*f40[t]*f44n[t] + 169100587828800312*Sqrt[70]*lu1^5*f22n[t]*f40[t]*f44n[t] - 567313620665658360*Sqrt[70]*lu1^6*f22n[t]*f40[t]*f44n[t] - 9947175549159738888*Sqrt[70]*lu1^7*f22n[t]*f40[t]*f44n[t] - 15958436509985136912*Sqrt[70]*lu1^8*f22n[t]*f40[t]*f44n[t] + 15605746724882194464*Sqrt[70]*lu1^9*f22n[t]*f40[t]*f44n[t] + 39294603459704086848*Sqrt[70]*lu1^10*f22n[t]*f40[t]*f44n[t] + 50497083039738293760*Sqrt[70]*lu1^11*f22n[t]*f40[t]*f44n[t] + 53981594999111001600*Sqrt[70]*lu1^12*f22n[t]*f40[t]*f44n[t] + 8582430727852800000*Sqrt[70]*lu1^13*f22n[t]*f40[t]*f44n[t] + 494819290368*Sqrt[210]*f40[t]*f42n[t]*f44n[t] - 10004423265216*Sqrt[210]*lu1*f40[t]*f42n[t]*f44n[t] - 424170113512320*Sqrt[210]*lu1^2*f40[t]*f42n[t]*f44n[t] + 6822984414692160*Sqrt[210]*lu1^3*f40[t]*f42n[t]*f44n[t] + 38756681345461632*Sqrt[210]*lu1^4*f40[t]*f42n[t]*f44n[t] - 694609132209292608*Sqrt[210]*lu1^5*f40[t]*f42n[t]*f44n[t] + 262751380719090048*Sqrt[210]*lu1^6*f40[t]*f42n[t]*f44n[t] + 9025723756554555840*Sqrt[210]*lu1^7*f40[t]*f42n[t]*f44n[t] + 10489162679288050560*Sqrt[210]*lu1^8*f40[t]*f42n[t]*f44n[t] - 13687166115319996416*Sqrt[210]*lu1^9*f40[t]*f42n[t]*f44n[t] - 43066729948775943168*Sqrt[210]*lu1^10*f40[t]*f42n[t]*f44n[t] - 46554241030372746240*Sqrt[210]*lu1^11*f40[t]*f42n[t]*f44n[t] - 23177719856513280000*Sqrt[210]*lu1^12*f40[t]*f42n[t]*f44n[t] - 4185641348195328000*Sqrt[210]*lu1^13*f40[t]*f42n[t]*f44n[t] + 4329668790720*Sqrt[3]*f42[t]*f44n[t]^2 - 87538703570640*Sqrt[3]*lu1* f42[t]*f44n[t]^2 - 3711488493232800*Sqrt[3]*lu1^2*f42[t]*f44n[t]^2 + 59701113628556400*Sqrt[3]*lu1^3*f42[t]*f44n[t]^2 + 339120961772789280*Sqrt[3]*lu1^4*f42[t]*f44n[t]^2 - 6077829906831310320*Sqrt[3]*lu1^5*f42[t]*f44n[t]^2 + 2299074581292037920*Sqrt[3]*lu1^6*f42[t]*f44n[t]^2 + 78975082869852363600*Sqrt[3]*lu1^7*f42[t]*f44n[t]^2 + 91780173443770442400*Sqrt[3]*lu1^8*f42[t]*f44n[t]^2 - 119762703509049968640*Sqrt[3]*lu1^9*f42[t]*f44n[t]^2 - 376833887051789502720*Sqrt[3]*lu1^10*f42[t]*f44n[t]^2 - 407349609015761529600*Sqrt[3]*lu1^11*f42[t]*f44n[t]^2 - 202805048744491200000*Sqrt[3]*lu1^12*f42[t]*f44n[t]^2 - 36624361796709120000*Sqrt[3]*lu1^13*f42[t]*f44n[t]^2 - 54586234206*Sqrt[15]*f40[t]*f42[t]*g20[t] + 1493871864660*Sqrt[15]* lu1*f40[t]*f42[t]*g20[t] + 53491988743326*Sqrt[15]*lu1^2*f40[t]* f42[t]*g20[t] - 994964422830336*Sqrt[15]*lu1^3*f40[t]*f42[t]* g20[t] - 20977380716690538*Sqrt[15]*lu1^4*f40[t]*f42[t]*g20[t] + 106762811656886532*Sqrt[15]*lu1^5*f40[t]*f42[t]*g20[t] + 3015217847505625650*Sqrt[15]*lu1^6*f40[t]*f42[t]*g20[t] + 13518632172140153352*Sqrt[15]*lu1^7*f40[t]*f42[t]*g20[t] + 16506598321497051768*Sqrt[15]*lu1^8*f40[t]*f42[t]*g20[t] - 13451742761624054496*Sqrt[15]*lu1^9*f40[t]*f42[t]*g20[t] - 22907395711293519552*Sqrt[15]*lu1^10*f40[t]*f42[t]*g20[t] + 13762541827975846080*Sqrt[15]*lu1^11*f40[t]*f42[t]*g20[t] + 10614171664156435200*Sqrt[15]*lu1^12*f40[t]*f42[t]*g20[t] - 6931958631870048000*Sqrt[15]*lu1^13*f40[t]*f42[t]*g20[t] - 84995303130*Sqrt[42]*f42[t]*f44[t]*g20[t] + 1462650877980*Sqrt[42]* lu1*f42[t]*f44[t]*g20[t] + 86892221318490*Sqrt[42]*lu1^2*f42[t]* f44[t]*g20[t] - 756776810619840*Sqrt[42]*lu1^3*f42[t]*f44[t]* g20[t] - 24969370629600030*Sqrt[42]*lu1^4*f42[t]*f44[t]*g20[t] + 30479619034605420*Sqrt[42]*lu1^5*f42[t]*f44[t]*g20[t] + 2407934911829949910*Sqrt[42]*lu1^6*f42[t]*f44[t]*g20[t] + 11508617419143709080*Sqrt[42]*lu1^7*f42[t]*f44[t]*g20[t] + 14509440528654219720*Sqrt[42]*lu1^8*f42[t]*f44[t]*g20[t] - 6706024586800500960*Sqrt[42]*lu1^9*f42[t]*f44[t]*g20[t] - 17021968677094107840*Sqrt[42]*lu1^10*f42[t]*f44[t]*g20[t] - 14000586180876100800*Sqrt[42]*lu1^11*f42[t]*f44[t]*g20[t] - 17080787657546464000*Sqrt[42]*lu1^12*f42[t]*f44[t]*g20[t] - 2924339536960800000*Sqrt[42]*lu1^13*f42[t]*f44[t]*g20[t] + 49821726240*Sqrt[14]*f22n[t]*f44n[t]*g20[t] - 943307242020*Sqrt[14]* lu1*f22n[t]*f44n[t]*g20[t] - 48462945861330*Sqrt[14]*lu1^2*f22n[t]* f44n[t]*g20[t] + 522691101877230*Sqrt[14]*lu1^3*f22n[t]*f44n[t]* g20[t] + 12362152680142980*Sqrt[14]*lu1^4*f22n[t]*f44n[t]*g20[t] - 26504541520948920*Sqrt[14]*lu1^5*f22n[t]*f44n[t]*g20[t] - 1143417876051283690*Sqrt[14]*lu1^6*f22n[t]*f44n[t]*g20[t] - 5792155585149171810*Sqrt[14]*lu1^7*f22n[t]*f44n[t]*g20[t] - 6797412948435406440*Sqrt[14]*lu1^8*f22n[t]*f44n[t]*g20[t] + 8367221889516306960*Sqrt[14]*lu1^9*f22n[t]*f44n[t]*g20[t] + 27068623777056232800*Sqrt[14]*lu1^10*f22n[t]*f44n[t]*g20[t] + 26995407360595845600*Sqrt[14]*lu1^11*f22n[t]*f44n[t]*g20[t] + 14694634608150640000*Sqrt[14]*lu1^12*f22n[t]*f44n[t]*g20[t] + 5072037281351040000*Sqrt[14]*lu1^13*f22n[t]*f44n[t]*g20[t] - 84995303130*Sqrt[42]*f42n[t]*f44n[t]*g20[t] + 1462650877980*Sqrt[42]* lu1*f42n[t]*f44n[t]*g20[t] + 86892221318490*Sqrt[42]*lu1^2*f42n[t]* f44n[t]*g20[t] - 756776810619840*Sqrt[42]*lu1^3*f42n[t]*f44n[t]* g20[t] - 24969370629600030*Sqrt[42]*lu1^4*f42n[t]*f44n[t]*g20[t] + 30479619034605420*Sqrt[42]*lu1^5*f42n[t]*f44n[t]*g20[t] + 2407934911829949910*Sqrt[42]*lu1^6*f42n[t]*f44n[t]*g20[t] + 11508617419143709080*Sqrt[42]*lu1^7*f42n[t]*f44n[t]*g20[t] + 14509440528654219720*Sqrt[42]*lu1^8*f42n[t]*f44n[t]*g20[t] - 6706024586800500960*Sqrt[42]*lu1^9*f42n[t]*f44n[t]*g20[t] - 17021968677094107840*Sqrt[42]*lu1^10*f42n[t]*f44n[t]*g20[t] - 14000586180876100800*Sqrt[42]*lu1^11*f42n[t]*f44n[t]*g20[t] - 17080787657546464000*Sqrt[42]*lu1^12*f42n[t]*f44n[t]*g20[t] - 2924339536960800000*Sqrt[42]*lu1^13*f42n[t]*f44n[t]*g20[t] - 16353713376*f22n[t]^2*g22[t] + 477447090120*lu1*f22n[t]^2*g22[t] + 10774705657716*lu1^2*f22n[t]^2*g22[t] - 288540410594436*lu1^3* f22n[t]^2*g22[t] - 698570732587728*lu1^4*f22n[t]^2*g22[t] + 22629056202584832*lu1^5*f22n[t]^2*g22[t] + 20787165276497620*lu1^6* f22n[t]^2*g22[t] + 715970314314387132*lu1^7*f22n[t]^2*g22[t] - 1076394750558959832*lu1^8*f22n[t]^2*g22[t] - 32562705638069582976* lu1^9*f22n[t]^2*g22[t] - 70799091752143827072*lu1^10*f22n[t]^2* g22[t] + 4272927893595641280*lu1^11*f22n[t]^2*g22[t] + 97180922723303619200*lu1^12*f22n[t]^2*g22[t] + 48439450867359552000* lu1^13*f22n[t]^2*g22[t] - 124274505231*f40[t]^2*g22[t] + 761496273630*lu1*f40[t]^2*g22[t] + 121186341400131*lu1^2*f40[t]^2* g22[t] + 605082947410884*lu1^3*f40[t]^2*g22[t] - 23242566403816233*lu1^4*f40[t]^2*g22[t] - 303602073872055018*lu1^5* f40[t]^2*g22[t] - 269645275256956635*lu1^6*f40[t]^2*g22[t] + 13296023637299663712*lu1^7*f40[t]^2*g22[t] + 52805595605726257008* lu1^8*f40[t]^2*g22[t] + 40437577128228132264*lu1^9*f40[t]^2*g22[t] - 76057931056036426752*lu1^10*f40[t]^2*g22[t] - 115867803198251058720* lu1^11*f40[t]^2*g22[t] - 45655299312739252800*lu1^12*f40[t]^2* g22[t] - 15980954695597248000*lu1^13*f40[t]^2*g22[t] - 708420910446*f42[t]^2*g22[t] + 9575377622820*lu1*f42[t]^2*g22[t] + 711929841908166*lu1^2*f42[t]^2*g22[t] - 3011653466639976*lu1^3* f42[t]^2*g22[t] - 182818673792205258*lu1^4*f42[t]^2*g22[t] - 420495444898209948*lu1^5*f42[t]^2*g22[t] + 12856172198469730170*lu1^6* f42[t]^2*g22[t] + 90391946768138838432*lu1^7*f42[t]^2*g22[t] + 185912403567261430488*lu1^8*f42[t]^2*g22[t] + 42305589485347620864* lu1^9*f42[t]^2*g22[t] - 247208046594640299552*lu1^10*f42[t]^2* g22[t] - 301798048389107685120*lu1^11*f42[t]^2*g22[t] - 178331190911558332800*lu1^12*f42[t]^2*g22[t] - 49047681618206208000* lu1^13*f42[t]^2*g22[t] + 7744857120*Sqrt[3]*f22n[t]*f42n[t]*g22[t] - 70138308240*Sqrt[3]*lu1*f22n[t]*f42n[t]*g22[t] - 4904264825460*Sqrt[3]*lu1^2*f22n[t]*f42n[t]*g22[t] - 53942661552780*Sqrt[3]*lu1^3*f22n[t]*f42n[t]*g22[t] - 955634775175080*Sqrt[3]*lu1^4*f22n[t]*f42n[t]*g22[t] + 37337484255871800*Sqrt[3]*lu1^5*f22n[t]*f42n[t]*g22[t] + 368396635185999420*Sqrt[3]*lu1^6*f22n[t]*f42n[t]*g22[t] - 1746144810277287420*Sqrt[3]*lu1^7*f22n[t]*f42n[t]*g22[t] - 10322297425719639360*Sqrt[3]*lu1^8*f22n[t]*f42n[t]*g22[t] - 7611965559806768160*Sqrt[3]*lu1^9*f22n[t]*f42n[t]*g22[t] + 22581783639702006720*Sqrt[3]*lu1^10*f22n[t]*f42n[t]*g22[t] + 39929530761345825600*Sqrt[3]*lu1^11*f22n[t]*f42n[t]*g22[t] + 20950323897991488000*Sqrt[3]*lu1^12*f22n[t]*f42n[t]*g22[t] + 3220625472704640000*Sqrt[3]*lu1^13*f22n[t]*f42n[t]*g22[t] + 43077871494*f42n[t]^2*g22[t] - 1277425261980*lu1*f42n[t]^2*g22[t] - 65012690137374*lu1^2*f42n[t]^2*g22[t] + 1770969067219464*lu1^3* f42n[t]^2*g22[t] + 19421568103205562*lu1^4*f42n[t]^2*g22[t] - 363030615324196428*lu1^5*f42n[t]^2*g22[t] - 2926028631471110130*lu1^6* f42n[t]^2*g22[t] + 11614871448297686352*lu1^7*f42n[t]^2*g22[t] + 84580941325515402768*lu1^8*f42n[t]^2*g22[t] + 67304330730763052304* lu1^9*f42n[t]^2*g22[t] - 141613632894682284672*lu1^10*f42n[t]^2* g22[t] - 92681921999342128320*lu1^11*f42n[t]^2*g22[t] + 53630813976426019200*lu1^12*f42n[t]^2*g22[t] - 42143706696909888000* lu1^13*f42n[t]^2*g22[t] - 50099918796*Sqrt[70]*f40[t]*f44[t]* g22[t] + 723520192320*Sqrt[70]*lu1*f40[t]*f44[t]*g22[t] + 51796168803036*Sqrt[70]*lu1^2*f40[t]*f44[t]*g22[t] - 318841502257296*Sqrt[70]*lu1^3*f40[t]*f44[t]*g22[t] - 13482682793027388*Sqrt[70]*lu1^4*f40[t]*f44[t]*g22[t] - 3830988638267568*Sqrt[70]*lu1^5*f40[t]*f44[t]*g22[t] + 1052146721996056020*Sqrt[70]*lu1^6*f40[t]*f44[t]*g22[t] + 5251805021322743472*Sqrt[70]*lu1^7*f40[t]*f44[t]*g22[t] + 6755430816116401848*Sqrt[70]*lu1^8*f40[t]*f44[t]*g22[t] - 1666582749694362096*Sqrt[70]*lu1^9*f40[t]*f44[t]*g22[t] - 7039627579997200992*Sqrt[70]*lu1^10*f40[t]*f44[t]*g22[t] - 13941075092651037120*Sqrt[70]*lu1^11*f40[t]*f44[t]*g22[t] - 15464133659198956800*Sqrt[70]*lu1^12*f40[t]*f44[t]*g22[t] - 460264994753088000*Sqrt[70]*lu1^13*f40[t]*f44[t]*g22[t] - 985838396886*f44[t]^2*g22[t] + 17815088618460*lu1*f44[t]^2*g22[t] + 981085605565086*lu1^2*f44[t]^2*g22[t] - 8662598501364696*lu1^3* f44[t]^2*g22[t] - 295200275299321098*lu1^4*f44[t]^2*g22[t] + 223912413681376812*lu1^5*f44[t]^2*g22[t] + 29895332561507428050*lu1^6* f44[t]^2*g22[t] + 166251934779657015072*lu1^7*f44[t]^2*g22[t] + 278196562680127339248*lu1^8*f44[t]^2*g22[t] - 36738284334702344016* lu1^9*f44[t]^2*g22[t] - 377612793282404215872*lu1^10*f44[t]^2* g22[t] - 205281722328601571520*lu1^11*f44[t]^2*g22[t] - 99182027267420764800*lu1^12*f44[t]^2*g22[t] - 90179168414673408000* lu1^13*f44[t]^2*g22[t] - 985838396886*f44n[t]^2*g22[t] + 17815088618460*lu1*f44n[t]^2*g22[t] + 981085605565086*lu1^2*f44n[t]^2* g22[t] - 8662598501364696*lu1^3*f44n[t]^2*g22[t] - 295200275299321098*lu1^4*f44n[t]^2*g22[t] + 223912413681376812*lu1^5* f44n[t]^2*g22[t] + 29895332561507428050*lu1^6*f44n[t]^2*g22[t] + 166251934779657015072*lu1^7*f44n[t]^2*g22[t] + 278196562680127339248* lu1^8*f44n[t]^2*g22[t] - 36738284334702344016*lu1^9*f44n[t]^2* g22[t] - 377612793282404215872*lu1^10*f44n[t]^2*g22[t] - 205281722328601571520*lu1^11*f44n[t]^2*g22[t] - 99182027267420764800*lu1^12*f44n[t]^2*g22[t] - 90179168414673408000* lu1^13*f44n[t]^2*g22[t] + 91898595360*Sqrt[3]*f22n[t]*f42[t]* g22n[t] - 1816476175800*Sqrt[3]*lu1*f22n[t]*f42[t]*g22n[t] - 92021626897200*Sqrt[3]*lu1^2*f22n[t]*f42[t]*g22n[t] + 1099324865307240*Sqrt[3]*lu1^3*f22n[t]*f42[t]*g22n[t] + 25679940135461040*Sqrt[3]*lu1^4*f22n[t]*f42[t]*g22n[t] - 90346567297769640*Sqrt[3]*lu1^5*f22n[t]*f42[t]*g22n[t] - 2655232387288566800*Sqrt[3]*lu1^6*f22n[t]*f42[t]*g22n[t] - 9838166360021056200*Sqrt[3]*lu1^7*f22n[t]*f42[t]*g22n[t] - 3272528471151173520*Sqrt[3]*lu1^8*f22n[t]*f42[t]*g22n[t] + 24346409338839382080*Sqrt[3]*lu1^9*f22n[t]*f42[t]*g22n[t] + 31555463914410458880*Sqrt[3]*lu1^10*f22n[t]*f42[t]*g22n[t] + 14061283959845865600*Sqrt[3]*lu1^11*f22n[t]*f42[t]*g22n[t] + 8438945318309792000*Sqrt[3]*lu1^12*f22n[t]*f42[t]*g22n[t] + 6923449089997440000*Sqrt[3]*lu1^13*f22n[t]*f42[t]*g22n[t] - 751498781940*f42[t]*f42n[t]*g22n[t] + 10852802884800*lu1*f42[t]* f42n[t]*g22n[t] + 776942532045540*lu1^2*f42[t]*f42n[t]*g22n[t] - 4782622533859440*lu1^3*f42[t]*f42n[t]*g22n[t] - 202240241895410820*lu1^4*f42[t]*f42n[t]*g22n[t] - 57464829574013520*lu1^5*f42[t]*f42n[t]*g22n[t] + 15782200829940840300*lu1^6*f42[t]*f42n[t]*g22n[t] + 78777075319841152080*lu1^7*f42[t]*f42n[t]*g22n[t] + 101331462241746027720*lu1^8*f42[t]*f42n[t]*g22n[t] - 24998741245415431440*lu1^9*f42[t]*f42n[t]*g22n[t] - 105594413699958014880*lu1^10*f42[t]*f42n[t]*g22n[t] - 209116126389765556800*lu1^11*f42[t]*f42n[t]*g22n[t] - 231962004887984352000*lu1^12*f42[t]*f42n[t]*g22n[t] - 6903974921296320000*lu1^13*f42[t]*f42n[t]*g22n[t] - 50099918796*Sqrt[70]*f40[t]*f44n[t]*g22n[t] + 723520192320*Sqrt[70]* lu1*f40[t]*f44n[t]*g22n[t] + 51796168803036*Sqrt[70]*lu1^2*f40[t]* f44n[t]*g22n[t] - 318841502257296*Sqrt[70]*lu1^3*f40[t]*f44n[t]* g22n[t] - 13482682793027388*Sqrt[70]*lu1^4*f40[t]*f44n[t]*g22n[t] - 3830988638267568*Sqrt[70]*lu1^5*f40[t]*f44n[t]*g22n[t] + 1052146721996056020*Sqrt[70]*lu1^6*f40[t]*f44n[t]*g22n[t] + 5251805021322743472*Sqrt[70]*lu1^7*f40[t]*f44n[t]*g22n[t] + 6755430816116401848*Sqrt[70]*lu1^8*f40[t]*f44n[t]*g22n[t] - 1666582749694362096*Sqrt[70]*lu1^9*f40[t]*f44n[t]*g22n[t] - 7039627579997200992*Sqrt[70]*lu1^10*f40[t]*f44n[t]*g22n[t] - 13941075092651037120*Sqrt[70]*lu1^11*f40[t]*f44n[t]*g22n[t] - 15464133659198956800*Sqrt[70]*lu1^12*f40[t]*f44n[t]*g22n[t] - 460264994753088000*Sqrt[70]*lu1^13*f40[t]*f44n[t]*g22n[t] - 81298546560*Sqrt[3]*f40[t]*f42[t]*g40[t] + 676491476220*Sqrt[3]*lu1* f40[t]*f42[t]*g40[t] + 95913267505650*Sqrt[3]*lu1^2*f40[t]*f42[t]* g40[t] + 42831769500450*Sqrt[3]*lu1^3*f40[t]*f42[t]*g40[t] - 34379356437428940*Sqrt[3]*lu1^4*f40[t]*f42[t]*g40[t] - 195434635927789440*Sqrt[3]*lu1^5*f40[t]*f42[t]*g40[t] + 1280125871729894490*Sqrt[3]*lu1^6*f40[t]*f42[t]*g40[t] + 7289429160781980450*Sqrt[3]*lu1^7*f40[t]*f42[t]*g40[t] + 4710320104551717600*Sqrt[3]*lu1^8*f40[t]*f42[t]*g40[t] - 21251905725071609280*Sqrt[3]*lu1^9*f40[t]*f42[t]*g40[t] - 26299190803108991040*Sqrt[3]*lu1^10*f40[t]*f42[t]*g40[t] + 11508385934169381600*Sqrt[3]*lu1^11*f40[t]*f42[t]*g40[t] + 16923947019469392000*Sqrt[3]*lu1^12*f40[t]*f42[t]*g40[t] - 1907625849776640000*Sqrt[3]*lu1^13*f40[t]*f42[t]*g40[t] + 56461768308*Sqrt[210]*f42[t]*f44[t]*g40[t] - 107241044796*Sqrt[210]* lu1*f42[t]*f44[t]*g40[t] - 60319524467790*Sqrt[210]*lu1^2*f42[t]* f44[t]*g40[t] - 369115126368210*Sqrt[210]*lu1^3*f42[t]*f44[t]* g40[t] + 15040494255059112*Sqrt[210]*lu1^4*f42[t]*f44[t]*g40[t] + 112057853392669632*Sqrt[210]*lu1^5*f42[t]*f44[t]*g40[t] - 521413377750733422*Sqrt[210]*lu1^6*f42[t]*f44[t]*g40[t] - 3425682639782281650*Sqrt[210]*lu1^7*f42[t]*f44[t]*g40[t] - 3620613631882750080*Sqrt[210]*lu1^8*f42[t]*f44[t]*g40[t] + 5372605884765529344*Sqrt[210]*lu1^9*f42[t]*f44[t]*g40[t] + 10343770759462753152*Sqrt[210]*lu1^10*f42[t]*f44[t]*g40[t] + 2763949062147851040*Sqrt[210]*lu1^11*f42[t]*f44[t]*g40[t] - 128908616032502400*Sqrt[210]*lu1^12*f42[t]*f44[t]*g40[t] + 1387262700004608000*Sqrt[210]*lu1^13*f42[t]*f44[t]*g40[t] - 11754010116*Sqrt[70]*f22n[t]*f44n[t]*g40[t] + 34689793860*Sqrt[70]* lu1*f22n[t]*f44n[t]*g40[t] + 9928112038236*Sqrt[70]*lu1^2*f22n[t]* f44n[t]*g40[t] + 77430860257824*Sqrt[70]*lu1^3*f22n[t]*f44n[t]* g40[t] - 313853263915968*Sqrt[70]*lu1^4*f22n[t]*f44n[t]*g40[t] - 13337836154747748*Sqrt[70]*lu1^5*f22n[t]*f44n[t]*g40[t] + 10754801408435580*Sqrt[70]*lu1^6*f22n[t]*f44n[t]*g40[t] + 310750974130845672*Sqrt[70]*lu1^7*f22n[t]*f44n[t]*g40[t] + 439833423446716188*Sqrt[70]*lu1^8*f22n[t]*f44n[t]*g40[t] - 1450440255693374856*Sqrt[70]*lu1^9*f22n[t]*f44n[t]*g40[t] - 4532432960292623472*Sqrt[70]*lu1^10*f22n[t]*f44n[t]*g40[t] - 4217694039387728160*Sqrt[70]*lu1^11*f22n[t]*f44n[t]*g40[t] - 1396594391314867200*Sqrt[70]*lu1^12*f22n[t]*f44n[t]*g40[t] - 217012051331040000*Sqrt[70]*lu1^13*f22n[t]*f44n[t]*g40[t] + 56461768308*Sqrt[210]*f42n[t]*f44n[t]*g40[t] - 107241044796*Sqrt[210]* lu1*f42n[t]*f44n[t]*g40[t] - 60319524467790*Sqrt[210]*lu1^2*f42n[t]* f44n[t]*g40[t] - 369115126368210*Sqrt[210]*lu1^3*f42n[t]*f44n[t]* g40[t] + 15040494255059112*Sqrt[210]*lu1^4*f42n[t]*f44n[t]*g40[t] + 112057853392669632*Sqrt[210]*lu1^5*f42n[t]*f44n[t]*g40[t] - 521413377750733422*Sqrt[210]*lu1^6*f42n[t]*f44n[t]*g40[t] - 3425682639782281650*Sqrt[210]*lu1^7*f42n[t]*f44n[t]*g40[t] - 3620613631882750080*Sqrt[210]*lu1^8*f42n[t]*f44n[t]*g40[t] + 5372605884765529344*Sqrt[210]*lu1^9*f42n[t]*f44n[t]*g40[t] + 10343770759462753152*Sqrt[210]*lu1^10*f42n[t]*f44n[t]*g40[t] + 2763949062147851040*Sqrt[210]*lu1^11*f42n[t]*f44n[t]*g40[t] - 128908616032502400*Sqrt[210]*lu1^12*f42n[t]*f44n[t]*g40[t] + 1387262700004608000*Sqrt[210]*lu1^13*f42n[t]*f44n[t]*g40[t] + 5867021160*Sqrt[3]*f22n[t]^2*g42[t] - 127279332180*Sqrt[3]*lu1* f22n[t]^2*g42[t] - 2172375665460*Sqrt[3]*lu1^2*f22n[t]^2*g42[t] + 29969532192600*Sqrt[3]*lu1^3*f22n[t]^2*g42[t] - 1252780782533280*Sqrt[3]*lu1^4*f22n[t]^2*g42[t] + 7038287115759900*Sqrt[3]*lu1^5*f22n[t]^2*g42[t] + 39774087788615180*Sqrt[3]*lu1^6*f22n[t]^2*g42[t] - 124283981238537120*Sqrt[3]*lu1^7*f22n[t]^2*g42[t] - 736550358807463200*Sqrt[3]*lu1^8*f22n[t]^2*g42[t] - 416619886313991360*Sqrt[3]*lu1^9*f22n[t]^2*g42[t] + 2748859655001620160*Sqrt[3]*lu1^10*f22n[t]^2*g42[t] + 5672295834127802880*Sqrt[3]*lu1^11*f22n[t]^2*g42[t] + 3881830241748659200*Sqrt[3]*lu1^12*f22n[t]^2*g42[t] + 729125432555520000*Sqrt[3]*lu1^13*f22n[t]^2*g42[t] - 19206600930*Sqrt[3]*f40[t]^2*g42[t] - 746634602340*Sqrt[3]*lu1* f40[t]^2*g42[t] + 6928909911000*Sqrt[3]*lu1^2*f40[t]^2*g42[t] + 858540161669850*Sqrt[3]*lu1^3*f40[t]^2*g42[t] + 13967799018495630*Sqrt[3]*lu1^4*f40[t]^2*g42[t] + 13007320410010080*Sqrt[3]*lu1^5*f40[t]^2*g42[t] - 616655363218008180*Sqrt[3]*lu1^6*f40[t]^2*g42[t] - 2369937141717266550*Sqrt[3]*lu1^7*f40[t]^2*g42[t] + 1986053922879298800*Sqrt[3]*lu1^8*f40[t]^2*g42[t] + 18446343875693590560*Sqrt[3]*lu1^9*f40[t]^2*g42[t] + 13589359306006603680*Sqrt[3]*lu1^10*f40[t]^2*g42[t] - 24172451556623700000*Sqrt[3]*lu1^11*f40[t]^2*g42[t] - 25063648989122832000*Sqrt[3]*lu1^12*f40[t]^2*g42[t] - 606717975346560000*Sqrt[3]*lu1^13*f40[t]^2*g42[t] - 201010294980*Sqrt[3]*f42[t]^2*g42[t] - 140286252240*Sqrt[3]*lu1* f42[t]^2*g42[t] + 205684354833300*Sqrt[3]*lu1^2*f42[t]^2*g42[t] + 1802743862340600*Sqrt[3]*lu1^3*f42[t]^2*g42[t] - 40823114837866620*Sqrt[3]*lu1^4*f42[t]^2*g42[t] - 364854631035558720*Sqrt[3]*lu1^5*f42[t]^2*g42[t] + 1326941017023772620*Sqrt[3]*lu1^6*f42[t]^2*g42[t] + 9838984038129427800*Sqrt[3]*lu1^7*f42[t]^2*g42[t] + 13392748054862032800*Sqrt[3]*lu1^8*f42[t]^2*g42[t] - 5611123698756037440*Sqrt[3]*lu1^9*f42[t]^2*g42[t] - 25419662994204774720*Sqrt[3]*lu1^10*f42[t]^2*g42[t] - 25328131244908636800*Sqrt[3]*lu1^11*f42[t]^2*g42[t] - 16279403939306880000*Sqrt[3]*lu1^12*f42[t]^2*g42[t] - 5028687650246400000*Sqrt[3]*lu1^13*f42[t]^2*g42[t] - 165760102620*f22n[t]*f42n[t]*g42[t] + 2677899479724*lu1*f22n[t]* f42n[t]*g42[t] + 97115945224536*lu1^2*f22n[t]*f42n[t]*g42[t] - 353964901556952*lu1^3*f22n[t]*f42n[t]*g42[t] + 4366373098786692*lu1^4* f22n[t]*f42n[t]*g42[t] - 99153523509251316*lu1^5*f22n[t]*f42n[t]* g42[t] - 590742102081082896*lu1^6*f22n[t]*f42n[t]*g42[t] + 7311059513037721392*lu1^7*f22n[t]*f42n[t]*g42[t] + 11623188235662706416*lu1^8*f22n[t]*f42n[t]*g42[t] - 88643881154302891536*lu1^9*f22n[t]*f42n[t]*g42[t] - 213375236259222227232*lu1^10*f22n[t]*f42n[t]*g42[t] - 46926974165532433728*lu1^11*f22n[t]*f42n[t]*g42[t] + 160286663348894947200*lu1^12*f22n[t]*f42n[t]*g42[t] + 76168569372333580800*lu1^13*f22n[t]*f42n[t]*g42[t] + 91551051900*Sqrt[3]*f42n[t]^2*g42[t] + 1774877832000*Sqrt[3]*lu1* f42n[t]^2*g42[t] - 151615097638200*Sqrt[3]*lu1^2*f42n[t]^2*g42[t] - 1654019617779900*Sqrt[3]*lu1^3*f42n[t]^2*g42[t] + 23335053031094700*Sqrt[3]*lu1^4*f42n[t]^2*g42[t] + 119849070975181800*Sqrt[3]*lu1^5*f42n[t]^2*g42[t] - 1456381332433398000*Sqrt[3]*lu1^6*f42n[t]^2*g42[t] + 868791604137158100*Sqrt[3]*lu1^7*f42n[t]^2*g42[t] + 14843338438226995200*Sqrt[3]*lu1^8*f42n[t]^2*g42[t] - 16145872879020561600*Sqrt[3]*lu1^9*f42n[t]^2*g42[t] - 70919722080472104000*Sqrt[3]*lu1^10*f42n[t]^2*g42[t] + 8931430890907224000*Sqrt[3]*lu1^11*f42n[t]^2*g42[t] + 64133649265868448000*Sqrt[3]*lu1^12*f42n[t]^2*g42[t] - 872005366794240000*Sqrt[3]*lu1^13*f42n[t]^2*g42[t] + 73761263928*Sqrt[210]*f40[t]*f44[t]*g42[t] + 111235691664*Sqrt[210]* lu1*f40[t]*f44[t]*g42[t] - 84175767364500*Sqrt[210]*lu1^2*f40[t]* f44[t]*g42[t] - 632065216236660*Sqrt[210]*lu1^3*f40[t]*f44[t]* g42[t] + 18683652886031952*Sqrt[210]*lu1^4*f40[t]*f44[t]*g42[t] + 137247186304208232*Sqrt[210]*lu1^5*f40[t]*f44[t]*g42[t] - 713761440517058772*Sqrt[210]*lu1^6*f40[t]*f44[t]*g42[t] - 3604451104110972420*Sqrt[210]*lu1^7*f40[t]*f44[t]*g42[t] - 2461913272194691680*Sqrt[210]*lu1^8*f40[t]*f44[t]*g42[t] + 3355738713150810624*Sqrt[210]*lu1^9*f40[t]*f44[t]*g42[t] + 3009137976861420672*Sqrt[210]*lu1^10*f40[t]*f44[t]*g42[t] + 5137766903892801600*Sqrt[210]*lu1^11*f40[t]*f44[t]*g42[t] + 8096669189021395200*Sqrt[210]*lu1^12*f40[t]*f44[t]*g42[t] + 1471478758154496000*Sqrt[210]*lu1^13*f40[t]*f44[t]*g42[t] + 353790955980*Sqrt[3]*f44[t]^2*g42[t] - 404922981960*Sqrt[3]*lu1* f44[t]^2*g42[t] - 314911251181800*Sqrt[3]*lu1^2*f44[t]^2*g42[t] - 3075168087274500*Sqrt[3]*lu1^3*f44[t]^2*g42[t] + 56777661642673020*Sqrt[3]*lu1^4*f44[t]^2*g42[t] + 641138334480989520*Sqrt[3]*lu1^5*f44[t]^2*g42[t] - 1271857570279941120*Sqrt[3]*lu1^6*f44[t]^2*g42[t] - 18677204384538783300*Sqrt[3]*lu1^7*f44[t]^2*g42[t] - 38005091017128261600*Sqrt[3]*lu1^8*f44[t]^2*g42[t] + 9688600066396722240*Sqrt[3]*lu1^9*f44[t]^2*g42[t] + 89059567838053216320*Sqrt[3]*lu1^10*f44[t]^2*g42[t] + 60816942933628257600*Sqrt[3]*lu1^11*f44[t]^2*g42[t] + 6512141027450016000*Sqrt[3]*lu1^12*f44[t]^2*g42[t] + 11043190861920000000*Sqrt[3]*lu1^13*f44[t]^2*g42[t] + 353790955980*Sqrt[3]*f44n[t]^2*g42[t] - 404922981960*Sqrt[3]*lu1* f44n[t]^2*g42[t] - 314911251181800*Sqrt[3]*lu1^2*f44n[t]^2*g42[t] - 3075168087274500*Sqrt[3]*lu1^3*f44n[t]^2*g42[t] + 56777661642673020*Sqrt[3]*lu1^4*f44n[t]^2*g42[t] + 641138334480989520*Sqrt[3]*lu1^5*f44n[t]^2*g42[t] - 1271857570279941120*Sqrt[3]*lu1^6*f44n[t]^2*g42[t] - 18677204384538783300*Sqrt[3]*lu1^7*f44n[t]^2*g42[t] - 38005091017128261600*Sqrt[3]*lu1^8*f44n[t]^2*g42[t] + 9688600066396722240*Sqrt[3]*lu1^9*f44n[t]^2*g42[t] + 89059567838053216320*Sqrt[3]*lu1^10*f44n[t]^2*g42[t] + 60816942933628257600*Sqrt[3]*lu1^11*f44n[t]^2*g42[t] + 6512141027450016000*Sqrt[3]*lu1^12*f44n[t]^2*g42[t] + 11043190861920000000*Sqrt[3]*lu1^13*f44n[t]^2*g42[t] - 572*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)* f22[t]^2*(5*Sqrt[3]*(-1466334 + 25226721*lu1 + 59771244*lu1^2 + 3362636590*lu1^3 - 39543716250*lu1^4 - 492345908823*lu1^5 - 54315356508*lu1^6 + 331237105968*lu1^7 + 2403770623440*lu1^8 + 868078766000*lu1^9)*f42[t] + 33*(-89748 + 1368837*lu1 + 18810873*lu1^2 - 151129870*lu1^3 - 1608361670*lu1^4 - 7013047391*lu1^5 - 21901176131*lu1^6 + 406119016*lu1^7 + 12327769060*lu1^8 + 82696568000*lu1^9)*g22[t] + 5*Sqrt[3]*(229716 - 1808244*lu1 + 4363959*lu1^2 - 335980930*lu1^3 + 773284650*lu1^4 + 12923544852*lu1^5 - 15845138913*lu1^6 - 90684744702*lu1^7 - 32706948300*lu1^8 + 11174253400*lu1^9)* g42[t]) + 286*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f20[t]^2* (99*(-93204 + 1967625*lu1 + 1531803*lu1^2 - 91092374*lu1^3 + 576803690*lu1^4 - 20028038803*lu1^5 - 59883585865*lu1^6 + 152009828576*lu1^7 + 77988612152*lu1^8 + 109210508080*lu1^9 + 92320791600*lu1^10)*f22[t] - 5*Sqrt[3]*(1513566 - 38307483*lu1 - 306535530*lu1^2 + 4873158390*lu1^3 + 80452744286*lu1^4 - 265097062203*lu1^5 - 1755771445866*lu1^6 - 1912777774440*lu1^7 + 1712599875120*lu1^8 + 3713960962512*lu1^9 + 416635784800*lu1^10)* f42[t] - 3*(11*(-186084 + 2180970*lu1 + 50612163*lu1^2 - 172484334*lu1^3 - 4739355190*lu1^4 - 30168984718*lu1^5 - 103079249965*lu1^6 + 4525377026*lu1^7 + 149334713372*lu1^8 + 143879042840*lu1^9 + 30273967200*lu1^10)*g22[t] + 15*Sqrt[3]*(25920 + 125046*lu1 - 14207655*lu1^2 - 19117524*lu1^3 + 512205742*lu1^4 + 2743343690*lu1^5 - 8251558863*lu1^6 - 30927386900*lu1^7 - 4731896368*lu1^8 + 24423797424*lu1^9 + 8614455600*lu1^10)*g42[t])) - 186860200860*f22n[t]*f42[t]*g42n[t] - 1637205663924*lu1*f22n[t]* f42[t]*g42n[t] + 200727415922544*lu1^2*f22n[t]*f42[t]*g42n[t] + 2676890709291672*lu1^3*f22n[t]*f42[t]*g42n[t] - 13781971016265732*lu1^4*f22n[t]*f42[t]*g42n[t] - 300981561133181124*lu1^5*f22n[t]*f42[t]*g42n[t] + 913386144334150296*lu1^6*f22n[t]*f42[t]*g42n[t] + 2011469710887648768*lu1^7*f22n[t]*f42[t]*g42n[t] + 1571814467738779224*lu1^8*f22n[t]*f42[t]*g42n[t] + 45130673483501645856*lu1^9*f22n[t]*f42[t]*g42n[t] + 77402247450443523072*lu1^10*f22n[t]*f42[t]*g42n[t] - 79603847016099411072*lu1^11*f22n[t]*f42[t]*g42n[t] - 202184495088340963200*lu1^12*f22n[t]*f42[t]*g42n[t] - 82678930912264780800*lu1^13*f22n[t]*f42[t]*g42n[t] - 292561346880*Sqrt[3]*f42[t]*f42n[t]*g42n[t] - 1915164084240*Sqrt[3]* lu1*f42[t]*f42n[t]*g42n[t] + 357299452471500*Sqrt[3]*lu1^2*f42[t]* f42n[t]*g42n[t] + 3456763480120500*Sqrt[3]*lu1^3*f42[t]*f42n[t]* g42n[t] - 64158167868961320*Sqrt[3]*lu1^4*f42[t]*f42n[t]*g42n[t] - 484703702010740520*Sqrt[3]*lu1^5*f42[t]*f42n[t]*g42n[t] + 2783322349457170620*Sqrt[3]*lu1^6*f42[t]*f42n[t]*g42n[t] + 8970192433992269700*Sqrt[3]*lu1^7*f42[t]*f42n[t]*g42n[t] - 1450590383364962400*Sqrt[3]*lu1^8*f42[t]*f42n[t]*g42n[t] + 10534749180264524160*Sqrt[3]*lu1^9*f42[t]*f42n[t]*g42n[t] + 45500059086267329280*Sqrt[3]*lu1^10*f42[t]*f42n[t]*g42n[t] - 34259562135815860800*Sqrt[3]*lu1^11*f42[t]*f42n[t]*g42n[t] - 80413053205175328000*Sqrt[3]*lu1^12*f42[t]*f42n[t]*g42n[t] - 4156682283452160000*Sqrt[3]*lu1^13*f42[t]*f42n[t]*g42n[t] + 73761263928*Sqrt[210]*f40[t]*f44n[t]*g42n[t] + 111235691664*Sqrt[210]* lu1*f40[t]*f44n[t]*g42n[t] - 84175767364500*Sqrt[210]*lu1^2*f40[t]* f44n[t]*g42n[t] - 632065216236660*Sqrt[210]*lu1^3*f40[t]*f44n[t]* g42n[t] + 18683652886031952*Sqrt[210]*lu1^4*f40[t]*f44n[t]*g42n[t] + 137247186304208232*Sqrt[210]*lu1^5*f40[t]*f44n[t]*g42n[t] - 713761440517058772*Sqrt[210]*lu1^6*f40[t]*f44n[t]*g42n[t] - 3604451104110972420*Sqrt[210]*lu1^7*f40[t]*f44n[t]*g42n[t] - 2461913272194691680*Sqrt[210]*lu1^8*f40[t]*f44n[t]*g42n[t] + 3355738713150810624*Sqrt[210]*lu1^9*f40[t]*f44n[t]*g42n[t] + 3009137976861420672*Sqrt[210]*lu1^10*f40[t]*f44n[t]*g42n[t] + 5137766903892801600*Sqrt[210]*lu1^11*f40[t]*f44n[t]*g42n[t] + 8096669189021395200*Sqrt[210]*lu1^12*f40[t]*f44n[t]*g42n[t] + 1471478758154496000*Sqrt[210]*lu1^13*f40[t]*f44n[t]*g42n[t] + 30585203748*Sqrt[210]*f40[t]*f42[t]*g44[t] + 108234354924*Sqrt[210]* lu1*f40[t]*f42[t]*g44[t] - 20052192034350*Sqrt[210]*lu1^2*f40[t]* f42[t]*g44[t] - 441014747267610*Sqrt[210]*lu1^3*f40[t]*f42[t]* g44[t] - 1065655270797768*Sqrt[210]*lu1^4*f40[t]*f42[t]*g44[t] + 42578665131569112*Sqrt[210]*lu1^5*f40[t]*f42[t]*g44[t] + 173622004648774098*Sqrt[210]*lu1^6*f40[t]*f42[t]*g44[t] - 841053486610288170*Sqrt[210]*lu1^7*f40[t]*f42[t]*g44[t] - 4631671539812184480*Sqrt[210]*lu1^8*f40[t]*f42[t]*g44[t] - 4239445638911510016*Sqrt[210]*lu1^9*f40[t]*f42[t]*g44[t] + 6982821659039645952*Sqrt[210]*lu1^10*f40[t]*f42[t]*g44[t] + 12360789029886256800*Sqrt[210]*lu1^11*f40[t]*f42[t]*g44[t] + 5055762578456611200*Sqrt[210]*lu1^12*f40[t]*f42[t]*g44[t] + 1164208662038016000*Sqrt[210]*lu1^13*f40[t]*f42[t]*g44[t] + 1053281108880*Sqrt[3]*f42[t]*f44[t]*g44[t] + 1386926747640*Sqrt[3]* lu1*f42[t]*f44[t]*g44[t] - 1124879232651300*Sqrt[3]*lu1^2*f42[t]* f44[t]*g44[t] - 9544038949109700*Sqrt[3]*lu1^3*f42[t]*f44[t]* g44[t] + 228984142222393320*Sqrt[3]*lu1^4*f42[t]*f44[t]*g44[t] + 1912844082767921520*Sqrt[3]*lu1^5*f42[t]*f44[t]*g44[t] - 8016729548886467220*Sqrt[3]*lu1^6*f42[t]*f44[t]*g44[t] - 50195683882367211300*Sqrt[3]*lu1^7*f42[t]*f44[t]*g44[t] - 55744145366905968000*Sqrt[3]*lu1^8*f42[t]*f44[t]*g44[t] + 29589265824895539840*Sqrt[3]*lu1^9*f42[t]*f44[t]*g44[t] + 88878073121380206720*Sqrt[3]*lu1^10*f42[t]*f44[t]*g44[t] + 116479975780732200000*Sqrt[3]*lu1^11*f42[t]*f44[t]*g44[t] + 107443686547698144000*Sqrt[3]*lu1^12*f42[t]*f44[t]*g44[t] + 24157622689804800000*Sqrt[3]*lu1^13*f42[t]*f44[t]*g44[t] + 10564706880*f22n[t]*f44n[t]*g44[t] + 4135747569408*lu1*f22n[t]* f44n[t]*g44[t] - 136495943366328*lu1^2*f22n[t]*f44n[t]*g44[t] - 2351803325390064*lu1^3*f22n[t]*f44n[t]*g44[t] + 49386246691019784*lu1^4*f22n[t]*f44n[t]*g44[t] + 215324107364232048*lu1^5*f22n[t]*f44n[t]*g44[t] - 3536507300271413832*lu1^6*f22n[t]*f44n[t]*g44[t] + 3362566972655055984*lu1^7*f22n[t]*f44n[t]*g44[t] + 35798720657486935512*lu1^8*f22n[t]*f44n[t]*g44[t] - 71761283728388999472*lu1^9*f22n[t]*f44n[t]*g44[t] - 281571223710136817184*lu1^10*f22n[t]*f44n[t]*g44[t] - 50963001776163562176*lu1^11*f22n[t]*f44n[t]*g44[t] + 306824272655047929600*lu1^12*f22n[t]*f44n[t]*g44[t] + 163067779000575321600*lu1^13*f22n[t]*f44n[t]*g44[t] - 345699196920*Sqrt[3]*f42n[t]*f44n[t]*g44[t] - 2196772711560*Sqrt[3]* lu1*f42n[t]*f44n[t]*g44[t] + 495056730287700*Sqrt[3]*lu1^2*f42n[t]* f44n[t]*g44[t] + 3393702774560700*Sqrt[3]*lu1^3*f42n[t]*f44n[t]* g44[t] - 115428818937047280*Sqrt[3]*lu1^4*f42n[t]*f44n[t]*g44[t] - 630567413805942480*Sqrt[3]*lu1^5*f42n[t]*f44n[t]*g44[t] + 5473014408326584980*Sqrt[3]*lu1^6*f42n[t]*f44n[t]*g44[t] + 12841275113289644700*Sqrt[3]*lu1^7*f42n[t]*f44n[t]*g44[t] - 20266036667350555200*Sqrt[3]*lu1^8*f42n[t]*f44n[t]*g44[t] - 10212065692102095360*Sqrt[3]*lu1^9*f42n[t]*f44n[t]*g44[t] + 89241062554726225920*Sqrt[3]*lu1^10*f42n[t]*f44n[t]*g44[t] + 5153910086524315200*Sqrt[3]*lu1^11*f42n[t]*f44n[t]*g44[t] - 94419404492798112000*Sqrt[3]*lu1^12*f42n[t]*f44n[t]*g44[t] - 2071240965964800000*Sqrt[3]*lu1^13*f42n[t]*f44n[t]*g44[t] - 11754010116*Sqrt[70]*f22n[t]*f40[t]*g44n[t] + 34689793860*Sqrt[70]* lu1*f22n[t]*f40[t]*g44n[t] + 9928112038236*Sqrt[70]*lu1^2*f22n[t]* f40[t]*g44n[t] + 77430860257824*Sqrt[70]*lu1^3*f22n[t]*f40[t]* g44n[t] - 313853263915968*Sqrt[70]*lu1^4*f22n[t]*f40[t]*g44n[t] - 13337836154747748*Sqrt[70]*lu1^5*f22n[t]*f40[t]*g44n[t] + 10754801408435580*Sqrt[70]*lu1^6*f22n[t]*f40[t]*g44n[t] + 310750974130845672*Sqrt[70]*lu1^7*f22n[t]*f40[t]*g44n[t] + 439833423446716188*Sqrt[70]*lu1^8*f22n[t]*f40[t]*g44n[t] - 1450440255693374856*Sqrt[70]*lu1^9*f22n[t]*f40[t]*g44n[t] - 4532432960292623472*Sqrt[70]*lu1^10*f22n[t]*f40[t]*g44n[t] - 4217694039387728160*Sqrt[70]*lu1^11*f22n[t]*f40[t]*g44n[t] - 1396594391314867200*Sqrt[70]*lu1^12*f22n[t]*f40[t]*g44n[t] - 217012051331040000*Sqrt[70]*lu1^13*f22n[t]*f40[t]*g44n[t] + 30585203748*Sqrt[210]*f40[t]*f42n[t]*g44n[t] + 108234354924*Sqrt[210]* lu1*f40[t]*f42n[t]*g44n[t] - 20052192034350*Sqrt[210]*lu1^2*f40[t]* f42n[t]*g44n[t] - 441014747267610*Sqrt[210]*lu1^3*f40[t]*f42n[t]* g44n[t] - 1065655270797768*Sqrt[210]*lu1^4*f40[t]*f42n[t]*g44n[t] + 42578665131569112*Sqrt[210]*lu1^5*f40[t]*f42n[t]*g44n[t] + 173622004648774098*Sqrt[210]*lu1^6*f40[t]*f42n[t]*g44n[t] - 841053486610288170*Sqrt[210]*lu1^7*f40[t]*f42n[t]*g44n[t] - 4631671539812184480*Sqrt[210]*lu1^8*f40[t]*f42n[t]*g44n[t] - 4239445638911510016*Sqrt[210]*lu1^9*f40[t]*f42n[t]*g44n[t] + 6982821659039645952*Sqrt[210]*lu1^10*f40[t]*f42n[t]*g44n[t] + 12360789029886256800*Sqrt[210]*lu1^11*f40[t]*f42n[t]*g44n[t] + 5055762578456611200*Sqrt[210]*lu1^12*f40[t]*f42n[t]*g44n[t] + 1164208662038016000*Sqrt[210]*lu1^13*f40[t]*f42n[t]*g44n[t] - 10564706880*f22n[t]*f44[t]*g44n[t] - 4135747569408*lu1*f22n[t]*f44[t]* g44n[t] + 136495943366328*lu1^2*f22n[t]*f44[t]*g44n[t] + 2351803325390064*lu1^3*f22n[t]*f44[t]*g44n[t] - 49386246691019784*lu1^4*f22n[t]*f44[t]*g44n[t] - 215324107364232048*lu1^5*f22n[t]*f44[t]*g44n[t] + 3536507300271413832*lu1^6*f22n[t]*f44[t]*g44n[t] - 3362566972655055984*lu1^7*f22n[t]*f44[t]*g44n[t] - 35798720657486935512*lu1^8*f22n[t]*f44[t]*g44n[t] + 71761283728388999472*lu1^9*f22n[t]*f44[t]*g44n[t] + 281571223710136817184*lu1^10*f22n[t]*f44[t]*g44n[t] + 50963001776163562176*lu1^11*f22n[t]*f44[t]*g44n[t] - 306824272655047929600*lu1^12*f22n[t]*f44[t]*g44n[t] - 163067779000575321600*lu1^13*f22n[t]*f44[t]*g44n[t] + 345699196920*Sqrt[3]*f42n[t]*f44[t]*g44n[t] + 2196772711560*Sqrt[3]* lu1*f42n[t]*f44[t]*g44n[t] - 495056730287700*Sqrt[3]*lu1^2*f42n[t]* f44[t]*g44n[t] - 3393702774560700*Sqrt[3]*lu1^3*f42n[t]*f44[t]* g44n[t] + 115428818937047280*Sqrt[3]*lu1^4*f42n[t]*f44[t]*g44n[t] + 630567413805942480*Sqrt[3]*lu1^5*f42n[t]*f44[t]*g44n[t] - 5473014408326584980*Sqrt[3]*lu1^6*f42n[t]*f44[t]*g44n[t] - 12841275113289644700*Sqrt[3]*lu1^7*f42n[t]*f44[t]*g44n[t] + 20266036667350555200*Sqrt[3]*lu1^8*f42n[t]*f44[t]*g44n[t] + 10212065692102095360*Sqrt[3]*lu1^9*f42n[t]*f44[t]*g44n[t] - 89241062554726225920*Sqrt[3]*lu1^10*f42n[t]*f44[t]*g44n[t] - 5153910086524315200*Sqrt[3]*lu1^11*f42n[t]*f44[t]*g44n[t] + 94419404492798112000*Sqrt[3]*lu1^12*f42n[t]*f44[t]*g44n[t] + 2071240965964800000*Sqrt[3]*lu1^13*f42n[t]*f44[t]*g44n[t] + 1053281108880*Sqrt[3]*f42[t]*f44n[t]*g44n[t] + 1386926747640*Sqrt[3]* lu1*f42[t]*f44n[t]*g44n[t] - 1124879232651300*Sqrt[3]*lu1^2*f42[t]* f44n[t]*g44n[t] - 9544038949109700*Sqrt[3]*lu1^3*f42[t]*f44n[t]* g44n[t] + 228984142222393320*Sqrt[3]*lu1^4*f42[t]*f44n[t]*g44n[t] + 1912844082767921520*Sqrt[3]*lu1^5*f42[t]*f44n[t]*g44n[t] - 8016729548886467220*Sqrt[3]*lu1^6*f42[t]*f44n[t]*g44n[t] - 50195683882367211300*Sqrt[3]*lu1^7*f42[t]*f44n[t]*g44n[t] - 55744145366905968000*Sqrt[3]*lu1^8*f42[t]*f44n[t]*g44n[t] + 29589265824895539840*Sqrt[3]*lu1^9*f42[t]*f44n[t]*g44n[t] + 88878073121380206720*Sqrt[3]*lu1^10*f42[t]*f44n[t]*g44n[t] + 116479975780732200000*Sqrt[3]*lu1^11*f42[t]*f44n[t]*g44n[t] + 107443686547698144000*Sqrt[3]*lu1^12*f42[t]*f44n[t]*g44n[t] + 24157622689804800000*Sqrt[3]*lu1^13*f42[t]*f44n[t]*g44n[t] - 2*f20[t]*(62058242178*Sqrt[15]*f40[t]*f42[t] - 1991075233050*Sqrt[15]* lu1*f40[t]*f42[t] - 46232225862858*Sqrt[15]*lu1^2*f40[t]*f42[t] + 1613971617734718*Sqrt[15]*lu1^3*f40[t]*f42[t] - 2001501393463446*Sqrt[15]*lu1^4*f40[t]*f42[t] - 133843242615613566*Sqrt[15]*lu1^5*f40[t]*f42[t] + 604355007173802690*Sqrt[15]*lu1^6*f40[t]*f42[t] + 10898481204701445834*Sqrt[15]*lu1^7*f40[t]*f42[t] + 32335740821498379516*Sqrt[15]*lu1^8*f40[t]*f42[t] + 17350513582476313968*Sqrt[15]*lu1^9*f40[t]*f42[t] - 10201655646422905824*Sqrt[15]*lu1^10*f40[t]*f42[t] + 25143082788784650720*Sqrt[15]*lu1^11*f40[t]*f42[t] + 33428888183344699200*Sqrt[15]*lu1^12*f40[t]*f42[t] + 1876041681739680000*Sqrt[15]*lu1^13*f40[t]*f42[t] + 24172738470*Sqrt[42]*f42[t]*f44[t] - 462013701390*Sqrt[42]*lu1* f42[t]*f44[t] - 25887893076990*Sqrt[42]*lu1^2*f42[t]*f44[t] + 566945726052090*Sqrt[42]*lu1^3*f42[t]*f44[t] + 1266691616352990*Sqrt[42]*lu1^4*f42[t]*f44[t] - 157348139424404730*Sqrt[42]*lu1^5*f42[t]*f44[t] + 579660749501706470*Sqrt[42]*lu1^6*f42[t]*f44[t] + 10264277434340307870*Sqrt[42]*lu1^7*f42[t]*f44[t] + 21417537947156217780*Sqrt[42]*lu1^8*f42[t]*f44[t] - 4620326622429358320*Sqrt[42]*lu1^9*f42[t]*f44[t] - 29596954188610359840*Sqrt[42]*lu1^10*f42[t]*f44[t] - 25283694430230645600*Sqrt[42]*lu1^11*f42[t]*f44[t] - 24844767271625768000*Sqrt[42]*lu1^12*f42[t]*f44[t] - 5096273257988640000*Sqrt[42]*lu1^13*f42[t]*f44[t] + 47331265410*Sqrt[14]*f22n[t]*f44n[t] - 1219876733790*Sqrt[14]*lu1* f22n[t]*f44n[t] - 33380481484350*Sqrt[14]*lu1^2*f22n[t]*f44n[t] + 541494661812390*Sqrt[14]*lu1^3*f22n[t]*f44n[t] + 5385348822595170*Sqrt[14]*lu1^4*f22n[t]*f44n[t] + 71159343284236350*Sqrt[14]*lu1^5*f22n[t]*f44n[t] - 1075887470562068450*Sqrt[14]*lu1^6*f22n[t]*f44n[t] - 12526285836522550950*Sqrt[14]*lu1^7*f22n[t]*f44n[t] - 18743179440505025220*Sqrt[14]*lu1^8*f22n[t]*f44n[t] + 6461289293423490240*Sqrt[14]*lu1^9*f22n[t]*f44n[t] + 70757683008177010560*Sqrt[14]*lu1^10*f22n[t]*f44n[t] + 119153999220213603360*Sqrt[14]*lu1^11*f22n[t]*f44n[t] + 73252020420928606400*Sqrt[14]*lu1^12*f22n[t]*f44n[t] + 15828874538436960000*Sqrt[14]*lu1^13*f22n[t]*f44n[t] + 24172738470*Sqrt[42]*f42n[t]*f44n[t] - 462013701390*Sqrt[42]*lu1* f42n[t]*f44n[t] - 25887893076990*Sqrt[42]*lu1^2*f42n[t]*f44n[t] + 566945726052090*Sqrt[42]*lu1^3*f42n[t]*f44n[t] + 1266691616352990*Sqrt[42]*lu1^4*f42n[t]*f44n[t] - 157348139424404730*Sqrt[42]*lu1^5*f42n[t]*f44n[t] + 579660749501706470*Sqrt[42]*lu1^6*f42n[t]*f44n[t] + 10264277434340307870*Sqrt[42]*lu1^7*f42n[t]*f44n[t] + 21417537947156217780*Sqrt[42]*lu1^8*f42n[t]*f44n[t] - 4620326622429358320*Sqrt[42]*lu1^9*f42n[t]*f44n[t] - 29596954188610359840*Sqrt[42]*lu1^10*f42n[t]*f44n[t] - 25283694430230645600*Sqrt[42]*lu1^11*f42n[t]*f44n[t] - 24844767271625768000*Sqrt[42]*lu1^12*f42n[t]*f44n[t] - 5096273257988640000*Sqrt[42]*lu1^13*f42n[t]*f44n[t] + 1970268300*Sqrt[3]*f42[t]*g20[t] - 90950584725*Sqrt[3]*lu1*f42[t]* g20[t] - 1976775320520*Sqrt[3]*lu1^2*f42[t]*g20[t] + 84902740187265*Sqrt[3]*lu1^3*f42[t]*g20[t] + 965546017365930* Sqrt[3]*lu1^4*f42[t]*g20[t] - 16790524211095635*Sqrt[3]*lu1^5* f42[t]*g20[t] - 202174336179715900*Sqrt[3]*lu1^6*f42[t]*g20[t] + 206652716442106935*Sqrt[3]*lu1^7*f42[t]*g20[t] + 6657679064297491230*Sqrt[3]*lu1^8*f42[t]*g20[t] + 14616838967548577760*Sqrt[3]*lu1^9*f42[t]*g20[t] - 2103888276160791120*Sqrt[3]*lu1^10*f42[t]*g20[t] - 24871674623242246800*Sqrt[3]*lu1^11*f42[t]*g20[t] - 13257504179507588000*Sqrt[3]*lu1^12*f42[t]*g20[t] + 914935209268080000*Sqrt[3]*lu1^13*f42[t]*g20[t] - 10732020156*Sqrt[5]*f40[t]*g22[t] + 180992077695*Sqrt[5]*lu1*f40[t]* g22[t] + 10032873831981*Sqrt[5]*lu1^2*f40[t]*g22[t] - 79466273105076*Sqrt[5]*lu1^3*f40[t]*g22[t] - 2135976116279148* Sqrt[5]*lu1^4*f40[t]*g22[t] - 3657819176410113*Sqrt[5]*lu1^5* f40[t]*g22[t] + 132989212696413645*Sqrt[5]*lu1^6*f40[t]*g22[t] + 1461683381859848862*Sqrt[5]*lu1^7*f40[t]*g22[t] + 4239363016404525438*Sqrt[5]*lu1^8*f40[t]*g22[t] + 2391718249577469384*Sqrt[5]*lu1^9*f40[t]*g22[t] - 9221769956598705792*Sqrt[5]*lu1^10*f40[t]*g22[t] - 16362846010969492320*Sqrt[5]*lu1^11*f40[t]*g22[t] - 8732976342230368800*Sqrt[5]*lu1^12*f40[t]*g22[t] - 1314514235322288000*Sqrt[5]*lu1^13*f40[t]*g22[t] - 42042815100*Sqrt[14]*f44[t]*g22[t] + 799752926115*Sqrt[14]*lu1* f44[t]*g22[t] + 42807971921715*Sqrt[14]*lu1^2*f44[t]*g22[t] - 478245357854550*Sqrt[14]*lu1^3*f44[t]*g22[t] - 12113332744158360* Sqrt[14]*lu1^4*f44[t]*g22[t] + 37717130501757135*Sqrt[14]*lu1^5* f44[t]*g22[t] + 1217541016261067355*Sqrt[14]*lu1^6*f44[t]*g22[t] + 4689199693883313180*Sqrt[14]*lu1^7*f44[t]*g22[t] + 5713368943443168150*Sqrt[14]*lu1^8*f44[t]*g22[t] + 540642908177194680*Sqrt[14]*lu1^9*f44[t]*g22[t] - 12236174323440518880*Sqrt[14]*lu1^10*f44[t]*g22[t] - 21919933912828723200*Sqrt[14]*lu1^11*f44[t]*g22[t] - 12239395864164612000*Sqrt[14]*lu1^12*f44[t]*g22[t] - 1741632967554480000*Sqrt[14]*lu1^13*f44[t]*g22[t] - 42042815100*Sqrt[14]*f44n[t]*g22n[t] + 799752926115*Sqrt[14]*lu1* f44n[t]*g22n[t] + 42807971921715*Sqrt[14]*lu1^2*f44n[t]*g22n[t] - 478245357854550*Sqrt[14]*lu1^3*f44n[t]*g22n[t] - 12113332744158360*Sqrt[14]*lu1^4*f44n[t]*g22n[t] + 37717130501757135*Sqrt[14]*lu1^5*f44n[t]*g22n[t] + 1217541016261067355*Sqrt[14]*lu1^6*f44n[t]*g22n[t] + 4689199693883313180*Sqrt[14]*lu1^7*f44n[t]*g22n[t] + 5713368943443168150*Sqrt[14]*lu1^8*f44n[t]*g22n[t] + 540642908177194680*Sqrt[14]*lu1^9*f44n[t]*g22n[t] - 12236174323440518880*Sqrt[14]*lu1^10*f44n[t]*g22n[t] - 21919933912828723200*Sqrt[14]*lu1^11*f44n[t]*g22n[t] - 12239395864164612000*Sqrt[14]*lu1^12*f44n[t]*g22n[t] - 1741632967554480000*Sqrt[14]*lu1^13*f44n[t]*g22n[t] + 3050153253*Sqrt[15]*f42[t]*g40[t] - 29977139745*Sqrt[15]*lu1*f42[t]* g40[t] - 6686978439078*Sqrt[15]*lu1^2*f42[t]*g40[t] + 10362017659518*Sqrt[15]*lu1^3*f42[t]*g40[t] + 4181750707501689* Sqrt[15]*lu1^4*f42[t]*g40[t] + 18864313624269939*Sqrt[15]*lu1^5* f42[t]*g40[t] - 159598433830462200*Sqrt[15]*lu1^6*f42[t]*g40[t] - 696872934382933056*Sqrt[15]*lu1^7*f42[t]*g40[t] - 353528991554111184*Sqrt[15]*lu1^8*f42[t]*g40[t] + 272230002676651488*Sqrt[15]*lu1^9*f42[t]*g40[t] - 2207551794252999264*Sqrt[15]*lu1^10*f42[t]*g40[t] - 2620724581102649280*Sqrt[15]*lu1^11*f42[t]*g40[t] + 1575293128067299200*Sqrt[15]*lu1^12*f42[t]*g40[t] + 1763364933892800000*Sqrt[15]*lu1^13*f42[t]*g40[t] + 3708615213*Sqrt[15]*f40[t]*g42[t] - 18767291355*Sqrt[15]*lu1*f40[t]* g42[t] - 4631698897308*Sqrt[15]*lu1^2*f40[t]*g42[t] - 32078750181642*Sqrt[15]*lu1^3*f40[t]*g42[t] + 2229381796503729* Sqrt[15]*lu1^4*f40[t]*g42[t] + 18020809265501049*Sqrt[15]*lu1^5* f40[t]*g42[t] - 32574742964450910*Sqrt[15]*lu1^6*f40[t]*g42[t] - 575809007539494516*Sqrt[15]*lu1^7*f40[t]*g42[t] - 1962738172151799204*Sqrt[15]*lu1^8*f40[t]*g42[t] - 3603599429161819632*Sqrt[15]*lu1^9*f40[t]*g42[t] - 2782943044223557584*Sqrt[15]*lu1^10*f40[t]*g42[t] + 2606767583068009440*Sqrt[15]*lu1^11*f40[t]*g42[t] + 5053223489454048000*Sqrt[15]*lu1^12*f40[t]*g42[t] + 1499597514144240000*Sqrt[15]*lu1^13*f40[t]*g42[t] + 8633237175*Sqrt[42]*f44[t]*g42[t] - 36855525285*Sqrt[42]*lu1*f44[t]* g42[t] - 9532827352440*Sqrt[42]*lu1^2*f44[t]*g42[t] - 34019645004990*Sqrt[42]*lu1^3*f44[t]*g42[t] + 2253942048777195* Sqrt[42]*lu1^4*f44[t]*g42[t] + 15461163430844775*Sqrt[42]*lu1^5* f44[t]*g42[t] - 102710575837781550*Sqrt[42]*lu1^6*f44[t]*g42[t] - 479812936496020980*Sqrt[42]*lu1^7*f44[t]*g42[t] + 125337780716714820*Sqrt[42]*lu1^8*f44[t]*g42[t] + 2349646648633957440*Sqrt[42]*lu1^9*f44[t]*g42[t] + 2477568458767602000*Sqrt[42]*lu1^10*f44[t]*g42[t] + 195723777834049440*Sqrt[42]*lu1^11*f44[t]*g42[t] + 296850516436761600*Sqrt[42]*lu1^12*f44[t]*g42[t] + 820385485434480000*Sqrt[42]*lu1^13*f44[t]*g42[t] + 8633237175*Sqrt[42]*f44n[t]*g42n[t] - 36855525285*Sqrt[42]*lu1* f44n[t]*g42n[t] - 9532827352440*Sqrt[42]*lu1^2*f44n[t]*g42n[t] - 34019645004990*Sqrt[42]*lu1^3*f44n[t]*g42n[t] + 2253942048777195*Sqrt[42]*lu1^4*f44n[t]*g42n[t] + 15461163430844775*Sqrt[42]*lu1^5*f44n[t]*g42n[t] - 102710575837781550*Sqrt[42]*lu1^6*f44n[t]*g42n[t] - 479812936496020980*Sqrt[42]*lu1^7*f44n[t]*g42n[t] + 125337780716714820*Sqrt[42]*lu1^8*f44n[t]*g42n[t] + 2349646648633957440*Sqrt[42]*lu1^9*f44n[t]*g42n[t] + 2477568458767602000*Sqrt[42]*lu1^10*f44n[t]*g42n[t] + 195723777834049440*Sqrt[42]*lu1^11*f44n[t]*g42n[t] + 296850516436761600*Sqrt[42]*lu1^12*f44n[t]*g42n[t] + 820385485434480000*Sqrt[42]*lu1^13*f44n[t]*g42n[t] + 9291699135*Sqrt[42]*f42[t]*g44[t] - 25645676895*Sqrt[42]*lu1*f42[t]* g44[t] - 7477547810670*Sqrt[42]*lu1^2*f42[t]*g44[t] - 76460412846150*Sqrt[42]*lu1^3*f42[t]*g44[t] + 301573137779235* Sqrt[42]*lu1^4*f42[t]*g44[t] + 14617659072075885*Sqrt[42]*lu1^5* f42[t]*g44[t] + 24313115028229740*Sqrt[42]*lu1^6*f42[t]*g44[t] - 358749009652582440*Sqrt[42]*lu1^7*f42[t]*g44[t] - 1483871399880973200*Sqrt[42]*lu1^8*f42[t]*g44[t] - 1526182783204513680*Sqrt[42]*lu1^9*f42[t]*g44[t] + 1902177208797043680*Sqrt[42]*lu1^10*f42[t]*g44[t] + 5423215942004708160*Sqrt[42]*lu1^11*f42[t]*g44[t] + 3774780877823510400*Sqrt[42]*lu1^12*f42[t]*g44[t] + 556618065685920000*Sqrt[42]*lu1^13*f42[t]*g44[t] + 143*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22[t]* (2*Sqrt[5]*(-8005797 + 115797510*lu1 + 133806729*lu1^2 + 29058215568*lu1^3 - 151222289675*lu1^4 - 3832652935434*lu1^5 - 4776899553465*lu1^6 - 399540857052*lu1^7 + 19856768528976*lu1^ 8 + 21318950679120*lu1^9 + 4427149178000*lu1^10)*f40[t] + 10*Sqrt[14]*(-3677643 + 64137492*lu1 + 248959263*lu1^2 + 6437299596*lu1^3 - 104042592749*lu1^4 - 1100819603676*lu1^5 - 421785553911*lu1^6 + 1142004897276*lu1^7 + 5477189592912*lu1^ 8 + 4630342918032*lu1^9 + 1197959202800*lu1^10)*f44[t] + 3*(-3 + 13*lu1 + 38*lu1^2)*(385*(792 - 13197*lu1 - 128661*lu1^2 + 1592293*lu1^3 + 8965369*lu1^4 + 2703556*lu1^5 - 97100648*lu1^6 + 62136256*lu1^7 + 101593360*lu1^8)*g20[t] + 21*Sqrt[5]*(-19494 + 18861*lu1 + 1300590*lu1^2 + 31941522* lu1^3 + 54675002*lu1^4 - 645004339*lu1^5 - 603751602*lu1^6 + 127532060*lu1^7 + 122971400*lu1^8)*g40[t] - 5*Sqrt[14]*( 101898 - 448515*lu1 + 8030202*lu1^2 - 127860698*lu1^3 - 433801322*lu1^4 + 1848487561*lu1^5 + 3026354278*lu1^6 + 1367985772*lu1^7 + 45985000*lu1^8)*g44[t])) - 5901422670*Sqrt[14]*f22n[t]*g44n[t] + 100727100045*Sqrt[14]*lu1* f22n[t]*g44n[t] + 3687707393370*Sqrt[14]*lu1^2*f22n[t]*g44n[t] - 21016027651905*Sqrt[14]*lu1^3*f22n[t]*g44n[t] + 263940329032380*Sqrt[14]*lu1^4*f22n[t]*g44n[t] - 6901979278959765*Sqrt[14]*lu1^5*f22n[t]*g44n[t] - 5941461397970670*Sqrt[14]*lu1^6*f22n[t]*g44n[t] + 245863156722562665*Sqrt[14]*lu1^7*f22n[t]*g44n[t] + 326744043659451990*Sqrt[14]*lu1^8*f22n[t]*g44n[t] - 1584145018742354640*Sqrt[14]*lu1^9*f22n[t]*g44n[t] - 4103828941397842800*Sqrt[14]*lu1^10*f22n[t]*g44n[t] - 3424020399625803120*Sqrt[14]*lu1^11*f22n[t]*g44n[t] - 1068560223254752800*Sqrt[14]*lu1^12*f22n[t]*g44n[t] - 34633713114000000*Sqrt[14]*lu1^13*f22n[t]*g44n[t] + 9291699135*Sqrt[42]*f42n[t]*g44n[t] - 25645676895*Sqrt[42]*lu1* f42n[t]*g44n[t] - 7477547810670*Sqrt[42]*lu1^2*f42n[t]*g44n[t] - 76460412846150*Sqrt[42]*lu1^3*f42n[t]*g44n[t] + 301573137779235*Sqrt[42]*lu1^4*f42n[t]*g44n[t] + 14617659072075885*Sqrt[42]*lu1^5*f42n[t]*g44n[t] + 24313115028229740*Sqrt[42]*lu1^6*f42n[t]*g44n[t] - 358749009652582440*Sqrt[42]*lu1^7*f42n[t]*g44n[t] - 1483871399880973200*Sqrt[42]*lu1^8*f42n[t]*g44n[t] - 1526182783204513680*Sqrt[42]*lu1^9*f42n[t]*g44n[t] + 1902177208797043680*Sqrt[42]*lu1^10*f42n[t]*g44n[t] + 5423215942004708160*Sqrt[42]*lu1^11*f42n[t]*g44n[t] + 3774780877823510400*Sqrt[42]*lu1^12*f42n[t]*g44n[t] + 556618065685920000*Sqrt[42]*lu1^13*f42n[t]*g44n[t]) + 2*f22[t]*(28314*(838836 - 24698925*lu1 - 522929736*lu1^2 + 13937397381*lu1^3 + 16950777678*lu1^4 - 404170381507*lu1^5 + 2259314626540*lu1^6 - 141647252707397*lu1^7 - 596299984910678* lu1^8 + 522603170092576*lu1^9 + 1961438478246832*lu1^10 + 1497036075586160*lu1^11 + 1659597392272800*lu1^12 + 853044114384000*lu1^13)*f22n[t]^2 + 3*(1533106521 + 157027068540*lu1 - 2759728667871*lu1^2 - 444625093488224*lu1^3 + 7287679009833423*lu1^4 + 124992781311583868*lu1^5 - 721450001363024765*lu1^6 - 2898061330723972592*lu1^7 + 541704850826240212*lu1^8 + 14883197716971215416*lu1^9 + 24227369709995037792*lu1^10 + 5590557291180551840*lu1^11 - 8457094761964937600*lu1^12 + 1500631105500800000*lu1^13)*f40[t]^2 - 133222798386*f42[t]^2 + 3865503151800*lu1*f42[t]^2 + 130911123112686*lu1^2*f42[t]^2 - 6047708527136496*lu1^3*f42[t]^2 + 37576318421513202*lu1^4* f42[t]^2 + 1609495230501531432*lu1^5*f42[t]^2 - 7523007694855558230*lu1^6*f42[t]^2 - 74000444815805813328*lu1^7* f42[t]^2 - 117275780322987296952*lu1^8*f42[t]^2 + 109218272673962345184*lu1^9*f42[t]^2 + 303298641661780342368*lu1^10* f42[t]^2 + 159996968808598037760*lu1^11*f42[t]^2 + 71335237558409481600*lu1^12*f42[t]^2 + 35290210817010240000*lu1^13* f42[t]^2 - 93997898766*f42n[t]^2 + 6134381135100*lu1*f42n[t]^2 + 13043172982266*lu1^2*f42n[t]^2 - 5721962675555676*lu1^3*f42n[t]^2 + 59332229330972262*lu1^4*f42n[t]^2 + 341240821785529092*lu1^5* f42n[t]^2 - 3268155539863120530*lu1^6*f42n[t]^2 + 603371802892228332*lu1^7*f42n[t]^2 + 2412493501901229888*lu1^8* f42n[t]^2 - 7824827762654113296*lu1^9*f42n[t]^2 + 8589115713999691008*lu1^10*f42n[t]^2 - 218731153989439165440*lu1^11* f42n[t]^2 - 333526724934923030400*lu1^12*f42n[t]^2 - 29078019641885760000*lu1^13*f42n[t]^2 - 502957258146*f44[t]^2 + 15963213082320*lu1*f44[t]^2 + 400446614947806*lu1^2*f44[t]^2 - 15709821843439416*lu1^3*f44[t]^2 + 51035720842924482*lu1^4* f44[t]^2 + 2328004392280812672*lu1^5*f44[t]^2 - 10865480927565545190*lu1^6*f44[t]^2 - 134417744269434618888*lu1^7* f44[t]^2 - 303311006996985005592*lu1^8*f44[t]^2 - 2687682183336635856*lu1^9*f44[t]^2 + 344861273810465733888*lu1^10* f44[t]^2 - 16110069443979013440*lu1^11*f44[t]^2 - 156228889041214214400*lu1^12*f44[t]^2 + 19742745362645760000*lu1^13* f44[t]^2 - 502957258146*f44n[t]^2 + 15963213082320*lu1*f44n[t]^2 + 400446614947806*lu1^2*f44n[t]^2 - 15709821843439416*lu1^3* f44n[t]^2 + 51035720842924482*lu1^4*f44n[t]^2 + 2328004392280812672*lu1^5*f44n[t]^2 - 10865480927565545190*lu1^6* f44n[t]^2 - 134417744269434618888*lu1^7*f44n[t]^2 - 303311006996985005592*lu1^8*f44n[t]^2 - 2687682183336635856*lu1^9* f44n[t]^2 + 344861273810465733888*lu1^10*f44n[t]^2 - 16110069443979013440*lu1^11*f44n[t]^2 - 156228889041214214400* lu1^12*f44n[t]^2 + 19742745362645760000*lu1^13*f44n[t]^2 + 24910863120*Sqrt[14]*f44[t]*g20[t] - 471653621010*Sqrt[14]*lu1* f44[t]*g20[t] - 24231472930665*Sqrt[14]*lu1^2*f44[t]*g20[t] + 261345550938615*Sqrt[14]*lu1^3*f44[t]*g20[t] + 6181076340071490*Sqrt[14]*lu1^4*f44[t]*g20[t] - 13252270760474460*Sqrt[14]*lu1^5*f44[t]*g20[t] - 571708938025641845*Sqrt[14]*lu1^6*f44[t]*g20[t] - 2896077792574585905*Sqrt[14]*lu1^7*f44[t]*g20[t] - 3398706474217703220*Sqrt[14]*lu1^8*f44[t]*g20[t] + 4183610944758153480*Sqrt[14]*lu1^9*f44[t]*g20[t] + 13534311888528116400*Sqrt[14]*lu1^10*f44[t]*g20[t] + 13497703680297922800*Sqrt[14]*lu1^11*f44[t]*g20[t] + 7347317304075320000*Sqrt[14]*lu1^12*f44[t]*g20[t] + 2536018640675520000*Sqrt[14]*lu1^13*f44[t]*g20[t] + 87958058760*Sqrt[3]*f42[t]*g22[t] - 1634575006350*Sqrt[3]*lu1* f42[t]*g22[t] - 88068076256160*Sqrt[3]*lu1^2*f42[t]*g22[t] + 929519384932710*Sqrt[3]*lu1^3*f42[t]*g22[t] + 23748848100729180* Sqrt[3]*lu1^4*f42[t]*g22[t] - 56765518875578370*Sqrt[3]*lu1^5* f42[t]*g22[t] - 2250883714929135000*Sqrt[3]*lu1^6*f42[t]*g22[t] - 10251471792905270070*Sqrt[3]*lu1^7*f42[t]*g22[t] - 16587886599746155980*Sqrt[3]*lu1^8*f42[t]*g22[t] - 4887268596257773440*Sqrt[3]*lu1^9*f42[t]*g22[t] + 35763240466732041120*Sqrt[3]*lu1^10*f42[t]*g22[t] + 63804633206330359200*Sqrt[3]*lu1^11*f42[t]*g22[t] + 34953953677324968000*Sqrt[3]*lu1^12*f42[t]*g22[t] + 5093578671461280000*Sqrt[3]*lu1^13*f42[t]*g22[t] + 38136332520*Sqrt[3]*f42n[t]*g22n[t] - 691267764330*Sqrt[3]*lu1* f42n[t]*g22n[t] - 39605130394830*Sqrt[3]*lu1^2*f42n[t]*g22n[t] + 406828283055480*Sqrt[3]*lu1^3*f42n[t]*g22n[t] + 11386695420586200*Sqrt[3]*lu1^4*f42n[t]*g22n[t] - 30260977354629450*Sqrt[3]*lu1^5*f42n[t]*g22n[t] - 1107465838877851310*Sqrt[3]*lu1^6*f42n[t]*g22n[t] - 4459316207756098260*Sqrt[3]*lu1^7*f42n[t]*g22n[t] - 9790473651310749540*Sqrt[3]*lu1^8*f42n[t]*g22n[t] - 13254490485774080400*Sqrt[3]*lu1^9*f42n[t]*g22n[t] + 8694616689675808320*Sqrt[3]*lu1^10*f42n[t]*g22n[t] + 36809225845734513600*Sqrt[3]*lu1^11*f42n[t]*g22n[t] + 20259319069174328000*Sqrt[3]*lu1^12*f42n[t]*g22n[t] + 21541390110240000*Sqrt[3]*lu1^13*f42n[t]*g22n[t] - 5877005058*Sqrt[70]*f44[t]*g40[t] + 17344896930*Sqrt[70]*lu1*f44[t]* g40[t] + 4964056019118*Sqrt[70]*lu1^2*f44[t]*g40[t] + 38715430128912*Sqrt[70]*lu1^3*f44[t]*g40[t] - 156926631957984* Sqrt[70]*lu1^4*f44[t]*g40[t] - 6668918077373874*Sqrt[70]*lu1^5* f44[t]*g40[t] + 5377400704217790*Sqrt[70]*lu1^6*f44[t]*g40[t] + 155375487065422836*Sqrt[70]*lu1^7*f44[t]*g40[t] + 219916711723358094*Sqrt[70]*lu1^8*f44[t]*g40[t] - 725220127846687428*Sqrt[70]*lu1^9*f44[t]*g40[t] - 2266216480146311736*Sqrt[70]*lu1^10*f44[t]*g40[t] - 2108847019693864080*Sqrt[70]*lu1^11*f44[t]*g40[t] - 698297195657433600*Sqrt[70]*lu1^12*f44[t]*g40[t] - 108506025665520000*Sqrt[70]*lu1^13*f44[t]*g40[t] - 126047324610*f42[t]*g42[t] - 433905159420*lu1*f42[t]*g42[t] + 111460255043130*lu1^2*f42[t]*g42[t] + 1595819459340000*lu1^3*f42[t]* g42[t] - 8229710848362150*lu1^4*f42[t]*g42[t] - 151019517292300860*lu1^5*f42[t]*g42[t] + 912147325603117350*lu1^6* f42[t]*g42[t] + 737149008765242760*lu1^7*f42[t]*g42[t] - 11427625719237135000*lu1^8*f42[t]*g42[t] - 10054113967971548400* lu1^9*f42[t]*g42[t] + 19602788176251738720*lu1^10*f42[t]*g42[t] - 8767150176154773120*lu1^11*f42[t]*g42[t] - 59634086848360444800* lu1^12*f42[t]*g42[t] - 29575865349626400000*lu1^13*f42[t]*g42[t] + 50262827130*f42n[t]*g42n[t] - 954252067320*lu1*f42n[t]*g42n[t] - 37461425530410*lu1^2*f42n[t]*g42n[t] + 434356555472640*lu1^3* f42n[t]*g42n[t] - 3521911889622630*lu1^4*f42n[t]*g42n[t] + 49048025028915360*lu1^5*f42n[t]*g42n[t] + 750825304476583650*lu1^6* f42n[t]*g42n[t] - 3924115603197442320*lu1^7*f42n[t]*g42n[t] - 18025127070937877820*lu1^8*f42n[t]*g42n[t] + 11702489867429074440* lu1^9*f42n[t]*g42n[t] + 87589282580641090800*lu1^10*f42n[t]* g42n[t] + 54498260414661149280*lu1^11*f42n[t]*g42n[t] - 38685170978637436800*lu1^12*f42n[t]*g42n[t] - 26320684579660800000* lu1^13*f42n[t]*g42n[t] - 1430*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]*(2*Sqrt[3]*(-721359 + 8610003*lu1 - 19192089*lu1^2 + 3770152662*lu1^3 - 7863282821*lu1^4 - 455305555293*lu1^5 - 725852333259*lu1^6 - 256924292388*lu1^7 + 2396596489344*lu1^8 + 2781434626848*lu1^9 + 538198329200*lu1^ 10)*f42n[t] + 11*(-103788 + 1151271*lu1 + 32625096*lu1^2 - 138397044*lu1^3 - 3173152436*lu1^4 - 11284809861*lu1^5 - 55730762148*lu1^6 - 160293962958*lu1^7 - 122009132508*lu1^8 + 370889008968*lu1^9 + 265871762480*lu1^10)*g22n[t] + Sqrt[3]*(461214 - 1919943*lu1 - 59196753*lu1^2 - 585636294*lu1^ 3 + 3128871884*lu1^4 + 32503648533*lu1^5 - 47976178401*lu1^ 6 - 291045497016*lu1^7 - 161038700808*lu1^8 + 93961520208*lu1^9 + 49939303600*lu1^10)*g42n[t]) - 154845925290*f44[t]*g44[t] - 176128366680*lu1*f44[t]*g44[t] + 169444207023210*lu1^2*f44[t]*g44[t] + 1648688994214920*lu1^3*f44[t]* g44[t] - 46382652608478690*lu1^4*f44[t]*g44[t] - 358992418476179040*lu1^5*f44[t]*g44[t] + 2054431584964160430*lu1^6* f44[t]*g44[t] + 8062489686168962520*lu1^7*f44[t]*g44[t] + 2030143839551611140*lu1^8*f44[t]*g44[t] + 11384542846632835320* lu1^9*f44[t]*g44[t] + 54078190167403703280*lu1^10*f44[t]*g44[t] - 4465714148559205920*lu1^11*f44[t]*g44[t] - 98008592162173660800* lu1^12*f44[t]*g44[t] - 48936627986517600000*lu1^13*f44[t]*g44[t] + f40[t]*(12*Sqrt[70]*(-217916109 - 12604877685*lu1 + 654821945169*lu1^2 - 1809699175449*lu1^3 - 120866171719217*lu1^ 4 + 7045857826200013*lu1^5 - 23638067527735765*lu1^6 - 414465647881655787*lu1^7 - 664934854582714038*lu1^8 + 650239446870091436*lu1^9 + 1637275144154336952*lu1^10 + 2104045126655762240*lu1^11 + 2249233124962958400*lu1^12 + 357601280327200000*lu1^13)*f44[t] + 1001*Sqrt[5]* (27836136 - 508582800*lu1 - 28580792031*lu1^2 + 296070010011*lu1^ 3 + 8060172348018*lu1^4 - 20786254310562*lu1^5 - 778043247684155*lu1^6 - 3251553729439137*lu1^7 - 6547478007622368*lu1^8 - 7108863239273544*lu1^9 + 7915716674836272*lu1^10 + 24760315927572720*lu1^11 + 13611443458860800*lu1^12 + 519608953248000*lu1^13)*g20[t] - 3*(-3 + 13*lu1 + 38*lu1^2)*(7*(-240092991 - 7185026601*lu1 + 119205580674*lu1^2 + 8444356484792*lu1^3 + 91987283765973* lu1^4 + 633474852828767*lu1^5 + 7501637592771760*lu1^6 + 8916256323591754*lu1^7 - 18238924285961448*lu1^8 - 18189512688656920*lu1^9 + 18317715340840000*lu1^10 + 13490511337240000*lu1^11)*g40[t] + 2*Sqrt[70]*(-326500281 - 451229166*lu1 + 269689893339*lu1^2 + 3313797864417*lu1^3 + 9057716508213*lu1^4 - 289270570924788*lu1^5 - 840030248002395* lu1^6 + 1327746530576909*lu1^7 + 7330780253545052*lu1^8 + 8294830050075660*lu1^9 + 2899897864881200*lu1^10 + 475903621340000*lu1^11)*g44[t])) - 154845925290*f44n[t]* g44n[t] - 176128366680*lu1*f44n[t]*g44n[t] + 169444207023210*lu1^2* f44n[t]*g44n[t] + 1648688994214920*lu1^3*f44n[t]*g44n[t] - 46382652608478690*lu1^4*f44n[t]*g44n[t] - 358992418476179040*lu1^5* f44n[t]*g44n[t] + 2054431584964160430*lu1^6*f44n[t]*g44n[t] + 8062489686168962520*lu1^7*f44n[t]*g44n[t] + 2030143839551611140* lu1^8*f44n[t]*g44n[t] + 11384542846632835320*lu1^9*f44n[t]* g44n[t] + 54078190167403703280*lu1^10*f44n[t]*g44n[t] - 4465714148559205920*lu1^11*f44n[t]*g44n[t] - 98008592162173660800* lu1^12*f44n[t]*g44n[t] - 48936627986517600000*lu1^13*f44n[t]* g44n[t])))/(462462*(-3 + 13*lu1 + 38*lu1^2)^3* (-1 + 7*lu1 + 170*lu1^2)^2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*Pi) eqF22nf = -(cap*(2145*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f20[t]^2* (22*(23004 - 142803*lu1 - 10334520*lu1^2 + 40778730*lu1^3 + 1086982888*lu1^4 - 377560219*lu1^5 - 575069212*lu1^6 + 52599181772*lu1^7 + 19114827176*lu1^8 - 9505776256*lu1^9 + 723511840*lu1^10)*f22n[t] + Sqrt[3]*(-560232 + 4560183*lu1 + 102917038*lu1^2 + 654932746*lu1^3 - 7636545384*lu1^4 + 11781016671*lu1^5 - 124671440374*lu1^6 - 29859274664*lu1^7 + 749320735952*lu1^8 + 62772227632*lu1^9 - 189745080800*lu1^10)* f42n[t]) - 12*f20[t]*(143*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)* f22n[t]*(Sqrt[5]*(3987288 - 24970455*lu1 - 1441551391*lu1^2 + 6641757428*lu1^3 + 110001841050*lu1^4 + 34835494461*lu1^5 + 351650990305*lu1^6 + 146724260558*lu1^7 + 256883190796*lu1^8 + 1071713741720*lu1^9 + 517565206400*lu1^10)*f40[t] - 5*Sqrt[14]*(1142352 - 6803424*lu1 - 446211451*lu1^2 + 2432230058* lu1^3 + 34121765222*lu1^4 + 15538837044*lu1^5 + 75659849977* lu1^6 + 38954995298*lu1^7 + 335401308916*lu1^8 + 378161989784* lu1^9 + 109273375200*lu1^10)*f44[t]) + 5*(Sqrt[15]*(2078587386 - 56812816575*lu1 - 1921231167744*lu1^2 + 39725813261565*lu1^3 + 494010282282818*lu1^4 - 2197570750610137*lu1^5 - 41510918243582316*lu1^6 - 102673954334380953*lu1^7 + 52476451979551160*lu1^8 + 199876681332958276*lu1^9 + 24191438603721672*lu1^10 + 237631385109701568*lu1^11 + 500819251351464160*lu1^12 + 184894928332217600*lu1^13)*f40[t]*f42n[t] + Sqrt[14]*(Sqrt[3]*(-2267025246 + 30759602193*lu1 + 2294337870804* lu1^2 - 15872415372439*lu1^3 - 484890537110670*lu1^4 + 1767738230790031*lu1^5 + 29203278178473096*lu1^6 + 55496385808509923*lu1^7 + 23300428052923032*lu1^8 + 138721311449683940*lu1^9 + 213174491990074696*lu1^10 + 65212477378941440*lu1^11 + 73532407921016800*lu1^12 + 30974154661856000*lu1^13)*f42n[t]*f44[t] + (143*(-10281168 + 146907216*lu1 + 11554658451*lu1^2 - 92737522371*lu1^3 - 3331548154154*lu1^4 + 15433782039682* lu1^5 + 263380237618639*lu1^6 + 430095650253897*lu1^7 + 676581170091608*lu1^8 + 995325550917832*lu1^9 + 2750560468032656*lu1^10 + 5771832977541904*lu1^11 + 4264156987263360*lu1^12 + 1009685986848000*lu1^13)* f22[t] - Sqrt[3]*(-2267025246 + 30759602193*lu1 + 2294337870804*lu1^2 - 15872415372439*lu1^3 - 484890537110670*lu1^4 + 1767738230790031*lu1^5 + 29203278178473096*lu1^6 + 55496385808509923*lu1^7 + 23300428052923032*lu1^8 + 138721311449683940*lu1^9 + 213174491990074696*lu1^10 + 65212477378941440*lu1^11 + 73532407921016800*lu1^12 + 30974154661856000*lu1^13)* f42[t])*f44n[t]))) + 2*(47190*(-207036 + 3010527*lu1 + 244386639*lu1^2 - 1935730548*lu1^3 - 80860968882*lu1^4 + 276757725351*lu1^5 + 8012535500531*lu1^6 + 6866909755198*lu1^7 - 3767688902996* lu1^8 + 366819359271136*lu1^9 + 619980067029616*lu1^10 + 109697566994464*lu1^11 - 82735508180800*lu1^12 + 6685249401600*lu1^13)*f22n[t]^3 - 715*Sqrt[3]* (-87291432 + 1258316775*lu1 + 96968901897*lu1^2 - 770679067842*lu1^3 - 27537523638306*lu1^4 + 118583416811859* lu1^5 + 2152791801938045*lu1^6 + 3437399462471544*lu1^7 + 6191211067791396*lu1^8 + 9269322860533248*lu1^9 + 16994253913839216*lu1^10 + 38822877985303680*lu1^11 + 34870184354104000*lu1^12 + 9830732441376000*lu1^13)*f22n[t]^2* f42n[t] + 715*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22[t]^2* (66*(23004 - 142803*lu1 - 10334520*lu1^2 + 40778730*lu1^3 + 1086982888*lu1^4 - 377560219*lu1^5 - 575069212*lu1^6 + 52599181772*lu1^7 + 19114827176*lu1^8 - 9505776256*lu1^9 + 723511840*lu1^10)*f22n[t] - Sqrt[3]*(4009176 - 22653513*lu1 - 1681928766*lu1^2 + 10383852978*lu1^3 + 128850515504*lu1^4 + 73936364847*lu1^5 + 177967959534*lu1^6 + 125960706528*lu1^7 + 2090925971616*lu1^8 + 1575420186768*lu1^9 + 247348420000* lu1^10)*f42n[t]) - 10*f22[t]*(143*Sqrt[3]*(-25604424 + 376873479*lu1 + 27640951191*lu1^2 - 214253933616*lu1^3 - 7548234713382*lu1^4 + 25980724573767*lu1^5 + 572510376226211* lu1^6 + 856825560948162*lu1^7 + 2131724047241748*lu1^8 + 3297369555026256*lu1^9 + 490891105643280*lu1^10 + 4191880120052256*lu1^11 + 9285242430523840*lu1^12 + 3772616520288000*lu1^13)*f22n[t]*f42[t] - 3*(-1180622088 + 8866497501*lu1 + 1240445611167*lu1^2 - 1972858213938*lu1^3 - 240165332262298*lu1^4 + 776410985439989* lu1^5 + 11524729072959243*lu1^6 + 15953800772787204*lu1^7 + 30594434034580064*lu1^8 + 154010153920502524*lu1^9 + 165928728643486440*lu1^10 + 108317204311631472*lu1^11 + 180354118778628640*lu1^12 + 69454348079446400*lu1^13)* (15*f42[t]*f42n[t] + Sqrt[70]*f40[t]*f44n[t])) + 6*Sqrt[3]*(-4155801228 + 48905063577*lu1 + 3832549391097*lu1^2 - 19235319068412*lu1^3 - 519494416449470*lu1^4 + 411914242977265*lu1^5 + 7500453803415509*lu1^6 + 37264160965963234*lu1^7 + 107458773975482876*lu1^8 + 146095912942566880*lu1^9 + 115840836509126672*lu1^10 + 80855839485858400*lu1^11 + 34002239415185600*lu1^12 + 3486239100512000*lu1^13)*(5*f40[t]^2*f42n[t] + 8*Sqrt[70]*f40[t]* (f42n[t]*f44[t] - f42[t]*f44n[t]) + 10*f42n[t]* (f42[t]^2 + f42n[t]^2 - 7*(f44[t]^2 + f44n[t]^2))) - 15*f22n[t]*((4652118360 - 12871995273*lu1 - 3947559398139*lu1^2 - 10736424331550*lu1^3 - 276395667105150*lu1^4 - 3118567147198297*lu1^5 + 69649473837734073*lu1^6 - 7342592429807788*lu1^7 - 1188173742832886480*lu1^8 - 2704361883985339540*lu1^9 - 1598369102570777304*lu1^10 + 1606110212693361968*lu1^11 + 2364734571246917280*lu1^12 + 648388537684182400*lu1^13)*f40[t]^2 + 2*Sqrt[70]* (-1180622088 + 8866497501*lu1 + 1240445611167*lu1^2 - 1972858213938*lu1^3 - 240165332262298*lu1^4 + 776410985439989* lu1^5 + 11524729072959243*lu1^6 + 15953800772787204*lu1^7 + 30594434034580064*lu1^8 + 154010153920502524*lu1^9 + 165928728643486440*lu1^10 + 108317204311631472*lu1^11 + 180354118778628640*lu1^12 + 69454348079446400*lu1^13)*f40[t]* f44[t] + 2*((-635683572 - 55565648415*lu1 + 2133543155709* lu1^2 + 52932336480076*lu1^3 - 1209697760637898*lu1^4 - 1302420764898659*lu1^5 + 78825469934243385*lu1^6 - 85060094916272062*lu1^7 - 838465366597143648*lu1^8 - 1072527289955402796*lu1^9 - 222556396215442440*lu1^10 + 2947910617405816880*lu1^11 + 4809206024178874720*lu1^12 + 1573813178984188800*lu1^13)*f42[t]^2 + 2*(8536823874 - 94281555465*lu1 - 8236570505898*lu1^2 + 41262604844573* lu1^3 + 1196391111648286*lu1^4 - 6474292773249247*lu1^5 - 47022733080072630*lu1^6 - 162183553254040061*lu1^7 - 648690938557922304*lu1^8 - 1691339799381470328*lu1^9 - 1355743662933869520*lu1^10 + 661576276365672400*lu1^11 + 1051947121249722560*lu1^12 + 265998978896246400*lu1^13)* f42n[t]^2 + 7*(4052078568 - 74367644697*lu1 - 3822868915299* lu1^2 + 45558175863514*lu1^3 + 730954083533026*lu1^4 - 3622514152102761*lu1^5 - 47369463792668559*lu1^6 - 132065290248796948*lu1^7 - 135989818743422512*lu1^8 - 289915622406384068*lu1^9 - 342915709371703224*lu1^10 + 408179723957312240*lu1^11 + 755594838483836960*lu1^12 + 244403125123606400*lu1^13)*(f44[t]^2 + f44n[t]^2))))))/ (231231*(-3 + 13*lu1 + 38*lu1^2)^3*(-1 + 7*lu1 + 170*lu1^2)^2* (-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*Pi) + (mar*(47501605008*f22n[t]^3 - 1398650724900*lu1*f22n[t]^3 - 29612465090208*lu1^2*f22n[t]^3 + 789246938891268*lu1^3*f22n[t]^3 + 959888638349784*lu1^4*f22n[t]^3 - 22887360363978396*lu1^5*f22n[t]^3 + 127940468671707120*lu1^6*f22n[t]^3 - 8021200626314477316*lu1^7* f22n[t]^3 - 33767275545521873784*lu1^8*f22n[t]^3 + 29593972316002393728*lu1^9*f22n[t]^3 + 111072338146161602496*lu1^10* f22n[t]^3 + 84774158888293068480*lu1^11*f22n[t]^3 + 93979681129624118400*lu1^12*f22n[t]^3 + 48306182109337152000*lu1^13* f22n[t]^3 + 9198639126*f22n[t]*f40[t]^2 + 942162411240*lu1*f22n[t]* f40[t]^2 - 16558372007226*lu1^2*f22n[t]*f40[t]^2 - 2667750560929344*lu1^3*f22n[t]*f40[t]^2 + 43726074059000538*lu1^4* f22n[t]*f40[t]^2 + 749956687869503208*lu1^5*f22n[t]*f40[t]^2 - 4328700008178148590*lu1^6*f22n[t]*f40[t]^2 - 17388367984343835552* lu1^7*f22n[t]*f40[t]^2 + 3250229104957441272*lu1^8*f22n[t]* f40[t]^2 + 89299186301827292496*lu1^9*f22n[t]*f40[t]^2 + 145364218259970226752*lu1^10*f22n[t]*f40[t]^2 + 33543343747083311040*lu1^11*f22n[t]*f40[t]^2 - 50742568571789625600* lu1^12*f22n[t]*f40[t]^2 + 9003786633004800000*lu1^13*f22n[t]* f40[t]^2 - 187995797532*f22n[t]*f42[t]^2 + 12268762270200*lu1* f22n[t]*f42[t]^2 + 26086345964532*lu1^2*f22n[t]*f42[t]^2 - 11443925351111352*lu1^3*f22n[t]*f42[t]^2 + 118664458661944524*lu1^4* f22n[t]*f42[t]^2 + 682481643571058184*lu1^5*f22n[t]*f42[t]^2 - 6536311079726241060*lu1^6*f22n[t]*f42[t]^2 + 1206743605784456664* lu1^7*f22n[t]*f42[t]^2 + 4824987003802459776*lu1^8*f22n[t]* f42[t]^2 - 15649655525308226592*lu1^9*f22n[t]*f42[t]^2 + 17178231427999382016*lu1^10*f22n[t]*f42[t]^2 - 437462307978878330880* lu1^11*f22n[t]*f42[t]^2 - 667053449869846060800*lu1^12*f22n[t]* f42[t]^2 - 58156039283771520000*lu1^13*f22n[t]*f42[t]^2 - 113230311480*Sqrt[3]*f22n[t]^2*f42n[t] + 2816106450300*Sqrt[3]*lu1* f22n[t]^2*f42n[t] + 78956622124380*Sqrt[3]*lu1^2*f22n[t]^2*f42n[t] - 1136270961591480*Sqrt[3]*lu1^3*f22n[t]^2*f42n[t] - 11622577141272240*Sqrt[3]*lu1^4*f22n[t]^2*f42n[t] - 227818857153313140*Sqrt[3]*lu1^5*f22n[t]^2*f42n[t] + 2289580396933672700*Sqrt[3]*lu1^6*f22n[t]^2*f42n[t] + 34584569240204171760*Sqrt[3]*lu1^7*f22n[t]^2*f42n[t] + 64262301106566660240*Sqrt[3]*lu1^8*f22n[t]^2*f42n[t] + 10994034986633761920*Sqrt[3]*lu1^9*f22n[t]^2*f42n[t] - 183603704349262042560*Sqrt[3]*lu1^10*f22n[t]^2*f42n[t] - 357807106217045971200*Sqrt[3]*lu1^11*f22n[t]^2*f42n[t] - 230852880787566752000*Sqrt[3]*lu1^12*f22n[t]^2*f42n[t] - 45880393403644800000*Sqrt[3]*lu1^13*f22n[t]^2*f42n[t] - 309262056480*Sqrt[3]*f40[t]^2*f42n[t] + 6252764540760*Sqrt[3]*lu1* f40[t]^2*f42n[t] + 265106320945200*Sqrt[3]*lu1^2*f40[t]^2*f42n[t] - 4264365259182600*Sqrt[3]*lu1^3*f40[t]^2*f42n[t] - 24222925840913520*Sqrt[3]*lu1^4*f40[t]^2*f42n[t] + 434130707630807880*Sqrt[3]*lu1^5*f40[t]^2*f42n[t] - 164219612949431280*Sqrt[3]*lu1^6*f40[t]^2*f42n[t] - 5641077347846597400*Sqrt[3]*lu1^7*f40[t]^2*f42n[t] - 6555726674555031600*Sqrt[3]*lu1^8*f40[t]^2*f42n[t] + 8554478822074997760*Sqrt[3]*lu1^9*f40[t]^2*f42n[t] + 26916706217984964480*Sqrt[3]*lu1^10*f40[t]^2*f42n[t] + 29096400643982966400*Sqrt[3]*lu1^11*f40[t]^2*f42n[t] + 14486074910320800000*Sqrt[3]*lu1^12*f40[t]^2*f42n[t] + 2616025842622080000*Sqrt[3]*lu1^13*f40[t]^2*f42n[t] - 618524112960*Sqrt[3]*f42[t]^2*f42n[t] + 12505529081520*Sqrt[3]*lu1* f42[t]^2*f42n[t] + 530212641890400*Sqrt[3]*lu1^2*f42[t]^2*f42n[t] - 8528730518365200*Sqrt[3]*lu1^3*f42[t]^2*f42n[t] - 48445851681827040*Sqrt[3]*lu1^4*f42[t]^2*f42n[t] + 868261415261615760*Sqrt[3]*lu1^5*f42[t]^2*f42n[t] - 328439225898862560*Sqrt[3]*lu1^6*f42[t]^2*f42n[t] - 11282154695693194800*Sqrt[3]*lu1^7*f42[t]^2*f42n[t] - 13111453349110063200*Sqrt[3]*lu1^8*f42[t]^2*f42n[t] + 17108957644149995520*Sqrt[3]*lu1^9*f42[t]^2*f42n[t] + 53833412435969928960*Sqrt[3]*lu1^10*f42[t]^2*f42n[t] + 58192801287965932800*Sqrt[3]*lu1^11*f42[t]^2*f42n[t] + 28972149820641600000*Sqrt[3]*lu1^12*f42[t]^2*f42n[t] + 5232051685244160000*Sqrt[3]*lu1^13*f42[t]^2*f42n[t] - 266445596772*f22n[t]*f42n[t]^2 + 7731006303600*lu1*f22n[t]* f42n[t]^2 + 261822246225372*lu1^2*f22n[t]*f42n[t]^2 - 12095417054272992*lu1^3*f22n[t]*f42n[t]^2 + 75152636843026404*lu1^4* f22n[t]*f42n[t]^2 + 3218990461003062864*lu1^5*f22n[t]*f42n[t]^2 - 15046015389711116460*lu1^6*f22n[t]*f42n[t]^2 - 148000889631611626656* lu1^7*f22n[t]*f42n[t]^2 - 234551560645974593904*lu1^8*f22n[t]* f42n[t]^2 + 218436545347924690368*lu1^9*f22n[t]*f42n[t]^2 + 606597283323560684736*lu1^10*f22n[t]*f42n[t]^2 + 319993937617196075520*lu1^11*f22n[t]*f42n[t]^2 + 142670475116818963200*lu1^12*f22n[t]*f42n[t]^2 + 70580421634020480000*lu1^13*f22n[t]*f42n[t]^2 - 618524112960*Sqrt[3]*f42n[t]^3 + 12505529081520*Sqrt[3]*lu1* f42n[t]^3 + 530212641890400*Sqrt[3]*lu1^2*f42n[t]^3 - 8528730518365200*Sqrt[3]*lu1^3*f42n[t]^3 - 48445851681827040*Sqrt[3]* lu1^4*f42n[t]^3 + 868261415261615760*Sqrt[3]*lu1^5*f42n[t]^3 - 328439225898862560*Sqrt[3]*lu1^6*f42n[t]^3 - 11282154695693194800* Sqrt[3]*lu1^7*f42n[t]^3 - 13111453349110063200*Sqrt[3]*lu1^8* f42n[t]^3 + 17108957644149995520*Sqrt[3]*lu1^9*f42n[t]^3 + 53833412435969928960*Sqrt[3]*lu1^10*f42n[t]^3 + 58192801287965932800*Sqrt[3]*lu1^11*f42n[t]^3 + 28972149820641600000*Sqrt[3]*lu1^12*f42n[t]^3 + 5232051685244160000*Sqrt[3]*lu1^13*f42n[t]^3 + 5229986616*Sqrt[70]* f22n[t]*f40[t]*f44[t] + 302517064440*Sqrt[70]*lu1*f22n[t]*f40[t]* f44[t] - 15715726684056*Sqrt[70]*lu1^2*f22n[t]*f40[t]*f44[t] + 43432780210776*Sqrt[70]*lu1^3*f22n[t]*f40[t]*f44[t] + 2900788121261208*Sqrt[70]*lu1^4*f22n[t]*f40[t]*f44[t] - 169100587828800312*Sqrt[70]*lu1^5*f22n[t]*f40[t]*f44[t] + 567313620665658360*Sqrt[70]*lu1^6*f22n[t]*f40[t]*f44[t] + 9947175549159738888*Sqrt[70]*lu1^7*f22n[t]*f40[t]*f44[t] + 15958436509985136912*Sqrt[70]*lu1^8*f22n[t]*f40[t]*f44[t] - 15605746724882194464*Sqrt[70]*lu1^9*f22n[t]*f40[t]*f44[t] - 39294603459704086848*Sqrt[70]*lu1^10*f22n[t]*f40[t]*f44[t] - 50497083039738293760*Sqrt[70]*lu1^11*f22n[t]*f40[t]*f44[t] - 53981594999111001600*Sqrt[70]*lu1^12*f22n[t]*f40[t]*f44[t] - 8582430727852800000*Sqrt[70]*lu1^13*f22n[t]*f40[t]*f44[t] - 494819290368*Sqrt[210]*f40[t]*f42n[t]*f44[t] + 10004423265216*Sqrt[210]*lu1*f40[t]*f42n[t]*f44[t] + 424170113512320*Sqrt[210]*lu1^2*f40[t]*f42n[t]*f44[t] - 6822984414692160*Sqrt[210]*lu1^3*f40[t]*f42n[t]*f44[t] - 38756681345461632*Sqrt[210]*lu1^4*f40[t]*f42n[t]*f44[t] + 694609132209292608*Sqrt[210]*lu1^5*f40[t]*f42n[t]*f44[t] - 262751380719090048*Sqrt[210]*lu1^6*f40[t]*f42n[t]*f44[t] - 9025723756554555840*Sqrt[210]*lu1^7*f40[t]*f42n[t]*f44[t] - 10489162679288050560*Sqrt[210]*lu1^8*f40[t]*f42n[t]*f44[t] + 13687166115319996416*Sqrt[210]*lu1^9*f40[t]*f42n[t]*f44[t] + 43066729948775943168*Sqrt[210]*lu1^10*f40[t]*f42n[t]*f44[t] + 46554241030372746240*Sqrt[210]*lu1^11*f40[t]*f42n[t]*f44[t] + 23177719856513280000*Sqrt[210]*lu1^12*f40[t]*f42n[t]*f44[t] + 4185641348195328000*Sqrt[210]*lu1^13*f40[t]*f42n[t]*f44[t] - 1005914516292*f22n[t]*f44[t]^2 + 31926426164640*lu1*f22n[t]* f44[t]^2 + 800893229895612*lu1^2*f22n[t]*f44[t]^2 - 31419643686878832*lu1^3*f22n[t]*f44[t]^2 + 102071441685848964*lu1^4* f22n[t]*f44[t]^2 + 4656008784561625344*lu1^5*f22n[t]*f44[t]^2 - 21730961855131090380*lu1^6*f22n[t]*f44[t]^2 - 268835488538869237776* lu1^7*f22n[t]*f44[t]^2 - 606622013993970011184*lu1^8*f22n[t]* f44[t]^2 - 5375364366673271712*lu1^9*f22n[t]*f44[t]^2 + 689722547620931467776*lu1^10*f22n[t]*f44[t]^2 - 32220138887958026880*lu1^11*f22n[t]*f44[t]^2 - 312457778082428428800* lu1^12*f22n[t]*f44[t]^2 + 39485490725291520000*lu1^13*f22n[t]* f44[t]^2 + 4329668790720*Sqrt[3]*f42n[t]*f44[t]^2 - 87538703570640*Sqrt[3]*lu1*f42n[t]*f44[t]^2 - 3711488493232800* Sqrt[3]*lu1^2*f42n[t]*f44[t]^2 + 59701113628556400*Sqrt[3]*lu1^3* f42n[t]*f44[t]^2 + 339120961772789280*Sqrt[3]*lu1^4*f42n[t]* f44[t]^2 - 6077829906831310320*Sqrt[3]*lu1^5*f42n[t]*f44[t]^2 + 2299074581292037920*Sqrt[3]*lu1^6*f42n[t]*f44[t]^2 + 78975082869852363600*Sqrt[3]*lu1^7*f42n[t]*f44[t]^2 + 91780173443770442400*Sqrt[3]*lu1^8*f42n[t]*f44[t]^2 - 119762703509049968640*Sqrt[3]*lu1^9*f42n[t]*f44[t]^2 - 376833887051789502720*Sqrt[3]*lu1^10*f42n[t]*f44[t]^2 - 407349609015761529600*Sqrt[3]*lu1^11*f42n[t]*f44[t]^2 - 202805048744491200000*Sqrt[3]*lu1^12*f42n[t]*f44[t]^2 - 36624361796709120000*Sqrt[3]*lu1^13*f42n[t]*f44[t]^2 + 494819290368*Sqrt[210]*f40[t]*f42[t]*f44n[t] - 10004423265216*Sqrt[210]*lu1*f40[t]*f42[t]*f44n[t] - 424170113512320*Sqrt[210]*lu1^2*f40[t]*f42[t]*f44n[t] + 6822984414692160*Sqrt[210]*lu1^3*f40[t]*f42[t]*f44n[t] + 38756681345461632*Sqrt[210]*lu1^4*f40[t]*f42[t]*f44n[t] - 694609132209292608*Sqrt[210]*lu1^5*f40[t]*f42[t]*f44n[t] + 262751380719090048*Sqrt[210]*lu1^6*f40[t]*f42[t]*f44n[t] + 9025723756554555840*Sqrt[210]*lu1^7*f40[t]*f42[t]*f44n[t] + 10489162679288050560*Sqrt[210]*lu1^8*f40[t]*f42[t]*f44n[t] - 13687166115319996416*Sqrt[210]*lu1^9*f40[t]*f42[t]*f44n[t] - 43066729948775943168*Sqrt[210]*lu1^10*f40[t]*f42[t]*f44n[t] - 46554241030372746240*Sqrt[210]*lu1^11*f40[t]*f42[t]*f44n[t] - 23177719856513280000*Sqrt[210]*lu1^12*f40[t]*f42[t]*f44n[t] - 4185641348195328000*Sqrt[210]*lu1^13*f40[t]*f42[t]*f44n[t] - 1005914516292*f22n[t]*f44n[t]^2 + 31926426164640*lu1*f22n[t]* f44n[t]^2 + 800893229895612*lu1^2*f22n[t]*f44n[t]^2 - 31419643686878832*lu1^3*f22n[t]*f44n[t]^2 + 102071441685848964*lu1^4* f22n[t]*f44n[t]^2 + 4656008784561625344*lu1^5*f22n[t]*f44n[t]^2 - 21730961855131090380*lu1^6*f22n[t]*f44n[t]^2 - 268835488538869237776* lu1^7*f22n[t]*f44n[t]^2 - 606622013993970011184*lu1^8*f22n[t]* f44n[t]^2 - 5375364366673271712*lu1^9*f22n[t]*f44n[t]^2 + 689722547620931467776*lu1^10*f22n[t]*f44n[t]^2 - 32220138887958026880*lu1^11*f22n[t]*f44n[t]^2 - 312457778082428428800*lu1^12*f22n[t]*f44n[t]^2 + 39485490725291520000*lu1^13*f22n[t]*f44n[t]^2 + 4329668790720*Sqrt[3]*f42n[t]*f44n[t]^2 - 87538703570640*Sqrt[3]*lu1* f42n[t]*f44n[t]^2 - 3711488493232800*Sqrt[3]*lu1^2*f42n[t]* f44n[t]^2 + 59701113628556400*Sqrt[3]*lu1^3*f42n[t]*f44n[t]^2 + 339120961772789280*Sqrt[3]*lu1^4*f42n[t]*f44n[t]^2 - 6077829906831310320*Sqrt[3]*lu1^5*f42n[t]*f44n[t]^2 + 2299074581292037920*Sqrt[3]*lu1^6*f42n[t]*f44n[t]^2 + 78975082869852363600*Sqrt[3]*lu1^7*f42n[t]*f44n[t]^2 + 91780173443770442400*Sqrt[3]*lu1^8*f42n[t]*f44n[t]^2 - 119762703509049968640*Sqrt[3]*lu1^9*f42n[t]*f44n[t]^2 - 376833887051789502720*Sqrt[3]*lu1^10*f42n[t]*f44n[t]^2 - 407349609015761529600*Sqrt[3]*lu1^11*f42n[t]*f44n[t]^2 - 202805048744491200000*Sqrt[3]*lu1^12*f42n[t]*f44n[t]^2 - 36624361796709120000*Sqrt[3]*lu1^13*f42n[t]*f44n[t]^2 + 55727944272*Sqrt[5]*f22n[t]*f40[t]*g20[t] - 1018182765600*Sqrt[5]*lu1* f22n[t]*f40[t]*g20[t] - 57218745646062*Sqrt[5]*lu1^2*f22n[t]*f40[t]* g20[t] + 592732160042022*Sqrt[5]*lu1^3*f22n[t]*f40[t]*g20[t] + 16136465040732036*Sqrt[5]*lu1^4*f22n[t]*f40[t]*g20[t] - 41614081129745124*Sqrt[5]*lu1^5*f22n[t]*f40[t]*g20[t] - 1557642581863678310*Sqrt[5]*lu1^6*f22n[t]*f40[t]*g20[t] - 6509610566337152274*Sqrt[5]*lu1^7*f22n[t]*f40[t]*g20[t] - 13108050971259980736*Sqrt[5]*lu1^8*f22n[t]*f40[t]*g20[t] - 14231944205025635088*Sqrt[5]*lu1^9*f22n[t]*f40[t]*g20[t] + 15847264783022216544*Sqrt[5]*lu1^10*f22n[t]*f40[t]*g20[t] + 49570152487000585440*Sqrt[5]*lu1^11*f22n[t]*f40[t]*g20[t] + 27250109804639321600*Sqrt[5]*lu1^12*f22n[t]*f40[t]*g20[t] + 1040257124402496000*Sqrt[5]*lu1^13*f22n[t]*f40[t]*g20[t] - 54586234206*Sqrt[15]*f40[t]*f42n[t]*g20[t] + 1493871864660*Sqrt[15]* lu1*f40[t]*f42n[t]*g20[t] + 53491988743326*Sqrt[15]*lu1^2*f40[t]* f42n[t]*g20[t] - 994964422830336*Sqrt[15]*lu1^3*f40[t]*f42n[t]* g20[t] - 20977380716690538*Sqrt[15]*lu1^4*f40[t]*f42n[t]*g20[t] + 106762811656886532*Sqrt[15]*lu1^5*f40[t]*f42n[t]*g20[t] + 3015217847505625650*Sqrt[15]*lu1^6*f40[t]*f42n[t]*g20[t] + 13518632172140153352*Sqrt[15]*lu1^7*f40[t]*f42n[t]*g20[t] + 16506598321497051768*Sqrt[15]*lu1^8*f40[t]*f42n[t]*g20[t] - 13451742761624054496*Sqrt[15]*lu1^9*f40[t]*f42n[t]*g20[t] - 22907395711293519552*Sqrt[15]*lu1^10*f40[t]*f42n[t]*g20[t] + 13762541827975846080*Sqrt[15]*lu1^11*f40[t]*f42n[t]*g20[t] + 10614171664156435200*Sqrt[15]*lu1^12*f40[t]*f42n[t]*g20[t] - 6931958631870048000*Sqrt[15]*lu1^13*f40[t]*f42n[t]*g20[t] - 49821726240*Sqrt[14]*f22n[t]*f44[t]*g20[t] + 943307242020*Sqrt[14]* lu1*f22n[t]*f44[t]*g20[t] + 48462945861330*Sqrt[14]*lu1^2*f22n[t]* f44[t]*g20[t] - 522691101877230*Sqrt[14]*lu1^3*f22n[t]*f44[t]* g20[t] - 12362152680142980*Sqrt[14]*lu1^4*f22n[t]*f44[t]*g20[t] + 26504541520948920*Sqrt[14]*lu1^5*f22n[t]*f44[t]*g20[t] + 1143417876051283690*Sqrt[14]*lu1^6*f22n[t]*f44[t]*g20[t] + 5792155585149171810*Sqrt[14]*lu1^7*f22n[t]*f44[t]*g20[t] + 6797412948435406440*Sqrt[14]*lu1^8*f22n[t]*f44[t]*g20[t] - 8367221889516306960*Sqrt[14]*lu1^9*f22n[t]*f44[t]*g20[t] - 27068623777056232800*Sqrt[14]*lu1^10*f22n[t]*f44[t]*g20[t] - 26995407360595845600*Sqrt[14]*lu1^11*f22n[t]*f44[t]*g20[t] - 14694634608150640000*Sqrt[14]*lu1^12*f22n[t]*f44[t]*g20[t] - 5072037281351040000*Sqrt[14]*lu1^13*f22n[t]*f44[t]*g20[t] + 84995303130*Sqrt[42]*f42n[t]*f44[t]*g20[t] - 1462650877980*Sqrt[42]* lu1*f42n[t]*f44[t]*g20[t] - 86892221318490*Sqrt[42]*lu1^2*f42n[t]* f44[t]*g20[t] + 756776810619840*Sqrt[42]*lu1^3*f42n[t]*f44[t]* g20[t] + 24969370629600030*Sqrt[42]*lu1^4*f42n[t]*f44[t]*g20[t] - 30479619034605420*Sqrt[42]*lu1^5*f42n[t]*f44[t]*g20[t] - 2407934911829949910*Sqrt[42]*lu1^6*f42n[t]*f44[t]*g20[t] - 11508617419143709080*Sqrt[42]*lu1^7*f42n[t]*f44[t]*g20[t] - 14509440528654219720*Sqrt[42]*lu1^8*f42n[t]*f44[t]*g20[t] + 6706024586800500960*Sqrt[42]*lu1^9*f42n[t]*f44[t]*g20[t] + 17021968677094107840*Sqrt[42]*lu1^10*f42n[t]*f44[t]*g20[t] + 14000586180876100800*Sqrt[42]*lu1^11*f42n[t]*f44[t]*g20[t] + 17080787657546464000*Sqrt[42]*lu1^12*f42n[t]*f44[t]*g20[t] + 2924339536960800000*Sqrt[42]*lu1^13*f42n[t]*f44[t]*g20[t] - 84995303130*Sqrt[42]*f42[t]*f44n[t]*g20[t] + 1462650877980*Sqrt[42]* lu1*f42[t]*f44n[t]*g20[t] + 86892221318490*Sqrt[42]*lu1^2*f42[t]* f44n[t]*g20[t] - 756776810619840*Sqrt[42]*lu1^3*f42[t]*f44n[t]* g20[t] - 24969370629600030*Sqrt[42]*lu1^4*f42[t]*f44n[t]*g20[t] + 30479619034605420*Sqrt[42]*lu1^5*f42[t]*f44n[t]*g20[t] + 2407934911829949910*Sqrt[42]*lu1^6*f42[t]*f44n[t]*g20[t] + 11508617419143709080*Sqrt[42]*lu1^7*f42[t]*f44n[t]*g20[t] + 14509440528654219720*Sqrt[42]*lu1^8*f42[t]*f44n[t]*g20[t] - 6706024586800500960*Sqrt[42]*lu1^9*f42[t]*f44n[t]*g20[t] - 17021968677094107840*Sqrt[42]*lu1^10*f42[t]*f44n[t]*g20[t] - 14000586180876100800*Sqrt[42]*lu1^11*f42[t]*f44n[t]*g20[t] - 17080787657546464000*Sqrt[42]*lu1^12*f42[t]*f44n[t]*g20[t] - 2924339536960800000*Sqrt[42]*lu1^13*f42[t]*f44n[t]*g20[t] + 76272665040*Sqrt[3]*f22n[t]*f42[t]*g22[t] - 1382535528660*Sqrt[3]*lu1* f22n[t]*f42[t]*g22[t] - 79210260789660*Sqrt[3]*lu1^2*f22n[t]*f42[t]* g22[t] + 813656566110960*Sqrt[3]*lu1^3*f22n[t]*f42[t]*g22[t] + 22773390841172400*Sqrt[3]*lu1^4*f22n[t]*f42[t]*g22[t] - 60521954709258900*Sqrt[3]*lu1^5*f22n[t]*f42[t]*g22[t] - 2214931677755702620*Sqrt[3]*lu1^6*f22n[t]*f42[t]*g22[t] - 8918632415512196520*Sqrt[3]*lu1^7*f22n[t]*f42[t]*g22[t] - 19580947302621499080*Sqrt[3]*lu1^8*f22n[t]*f42[t]*g22[t] - 26508980971548160800*Sqrt[3]*lu1^9*f22n[t]*f42[t]*g22[t] + 17389233379351616640*Sqrt[3]*lu1^10*f22n[t]*f42[t]*g22[t] + 73618451691469027200*Sqrt[3]*lu1^11*f22n[t]*f42[t]*g22[t] + 40518638138348656000*Sqrt[3]*lu1^12*f22n[t]*f42[t]*g22[t] + 43082780220480000*Sqrt[3]*lu1^13*f22n[t]*f42[t]*g22[t] - 751498781940*f42[t]*f42n[t]*g22[t] + 10852802884800*lu1*f42[t]* f42n[t]*g22[t] + 776942532045540*lu1^2*f42[t]*f42n[t]*g22[t] - 4782622533859440*lu1^3*f42[t]*f42n[t]*g22[t] - 202240241895410820*lu1^4*f42[t]*f42n[t]*g22[t] - 57464829574013520*lu1^5*f42[t]*f42n[t]*g22[t] + 15782200829940840300*lu1^6*f42[t]*f42n[t]*g22[t] + 78777075319841152080*lu1^7*f42[t]*f42n[t]*g22[t] + 101331462241746027720*lu1^8*f42[t]*f42n[t]*g22[t] - 24998741245415431440*lu1^9*f42[t]*f42n[t]*g22[t] - 105594413699958014880*lu1^10*f42[t]*f42n[t]*g22[t] - 209116126389765556800*lu1^11*f42[t]*f42n[t]*g22[t] - 231962004887984352000*lu1^12*f42[t]*f42n[t]*g22[t] - 6903974921296320000*lu1^13*f42[t]*f42n[t]*g22[t] - 50099918796*Sqrt[70]*f40[t]*f44n[t]*g22[t] + 723520192320*Sqrt[70]* lu1*f40[t]*f44n[t]*g22[t] + 51796168803036*Sqrt[70]*lu1^2*f40[t]* f44n[t]*g22[t] - 318841502257296*Sqrt[70]*lu1^3*f40[t]*f44n[t]* g22[t] - 13482682793027388*Sqrt[70]*lu1^4*f40[t]*f44n[t]*g22[t] - 3830988638267568*Sqrt[70]*lu1^5*f40[t]*f44n[t]*g22[t] + 1052146721996056020*Sqrt[70]*lu1^6*f40[t]*f44n[t]*g22[t] + 5251805021322743472*Sqrt[70]*lu1^7*f40[t]*f44n[t]*g22[t] + 6755430816116401848*Sqrt[70]*lu1^8*f40[t]*f44n[t]*g22[t] - 1666582749694362096*Sqrt[70]*lu1^9*f40[t]*f44n[t]*g22[t] - 7039627579997200992*Sqrt[70]*lu1^10*f40[t]*f44n[t]*g22[t] - 13941075092651037120*Sqrt[70]*lu1^11*f40[t]*f44n[t]*g22[t] - 15464133659198956800*Sqrt[70]*lu1^12*f40[t]*f44n[t]*g22[t] - 460264994753088000*Sqrt[70]*lu1^13*f40[t]*f44n[t]*g22[t] - 45740247696*f22n[t]^2*g22n[t] + 1048305747060*lu1*f22n[t]^2*g22n[t] + 40302142616736*lu1^2*f22n[t]^2*g22n[t] - 629733861369756*lu1^3* f22n[t]^2*g22n[t] - 8837045090544528*lu1^4*f22n[t]^2*g22n[t] + 48115205800879932*lu1^5*f22n[t]^2*g22n[t] + 775248446963321760*lu1^6* f22n[t]^2*g22n[t] + 4225958118840344172*lu1^7*f22n[t]^2*g22n[t] + 14901338851662820128*lu1^8*f22n[t]^2*g22n[t] + 19562493499234281024* lu1^9*f22n[t]^2*g22n[t] + 2042408668983004608*lu1^10*f22n[t]^2* g22n[t] - 43101426290723486400*lu1^11*f22n[t]^2*g22n[t] - 69567990162344044800*lu1^12*f22n[t]^2*g22n[t] - 28846918116656640000*lu1^13*f22n[t]^2*g22n[t] - 124274505231*f40[t]^2*g22n[t] + 761496273630*lu1*f40[t]^2*g22n[t] + 121186341400131*lu1^2*f40[t]^2*g22n[t] + 605082947410884*lu1^3* f40[t]^2*g22n[t] - 23242566403816233*lu1^4*f40[t]^2*g22n[t] - 303602073872055018*lu1^5*f40[t]^2*g22n[t] - 269645275256956635*lu1^6* f40[t]^2*g22n[t] + 13296023637299663712*lu1^7*f40[t]^2*g22n[t] + 52805595605726257008*lu1^8*f40[t]^2*g22n[t] + 40437577128228132264* lu1^9*f40[t]^2*g22n[t] - 76057931056036426752*lu1^10*f40[t]^2* g22n[t] - 115867803198251058720*lu1^11*f40[t]^2*g22n[t] - 45655299312739252800*lu1^12*f40[t]^2*g22n[t] - 15980954695597248000* lu1^13*f40[t]^2*g22n[t] + 43077871494*f42[t]^2*g22n[t] - 1277425261980*lu1*f42[t]^2*g22n[t] - 65012690137374*lu1^2*f42[t]^2* g22n[t] + 1770969067219464*lu1^3*f42[t]^2*g22n[t] + 19421568103205562*lu1^4*f42[t]^2*g22n[t] - 363030615324196428*lu1^5* f42[t]^2*g22n[t] - 2926028631471110130*lu1^6*f42[t]^2*g22n[t] + 11614871448297686352*lu1^7*f42[t]^2*g22n[t] + 84580941325515402768* lu1^8*f42[t]^2*g22n[t] + 67304330730763052304*lu1^9*f42[t]^2* g22n[t] - 141613632894682284672*lu1^10*f42[t]^2*g22n[t] - 92681921999342128320*lu1^11*f42[t]^2*g22n[t] + 53630813976426019200* lu1^12*f42[t]^2*g22n[t] - 42143706696909888000*lu1^13*f42[t]^2* g22n[t] + 175916117520*Sqrt[3]*f22n[t]*f42n[t]*g22n[t] - 3269150012700*Sqrt[3]*lu1*f22n[t]*f42n[t]*g22n[t] - 176136152512320*Sqrt[3]*lu1^2*f22n[t]*f42n[t]*g22n[t] + 1859038769865420*Sqrt[3]*lu1^3*f22n[t]*f42n[t]*g22n[t] + 47497696201458360*Sqrt[3]*lu1^4*f22n[t]*f42n[t]*g22n[t] - 113531037751156740*Sqrt[3]*lu1^5*f22n[t]*f42n[t]*g22n[t] - 4501767429858270000*Sqrt[3]*lu1^6*f22n[t]*f42n[t]*g22n[t] - 20502943585810540140*Sqrt[3]*lu1^7*f22n[t]*f42n[t]*g22n[t] - 33175773199492311960*Sqrt[3]*lu1^8*f22n[t]*f42n[t]*g22n[t] - 9774537192515546880*Sqrt[3]*lu1^9*f22n[t]*f42n[t]*g22n[t] + 71526480933464082240*Sqrt[3]*lu1^10*f22n[t]*f42n[t]*g22n[t] + 127609266412660718400*Sqrt[3]*lu1^11*f22n[t]*f42n[t]*g22n[t] + 69907907354649936000*Sqrt[3]*lu1^12*f22n[t]*f42n[t]*g22n[t] + 10187157342922560000*Sqrt[3]*lu1^13*f22n[t]*f42n[t]*g22n[t] - 708420910446*f42n[t]^2*g22n[t] + 9575377622820*lu1*f42n[t]^2* g22n[t] + 711929841908166*lu1^2*f42n[t]^2*g22n[t] - 3011653466639976*lu1^3*f42n[t]^2*g22n[t] - 182818673792205258*lu1^4* f42n[t]^2*g22n[t] - 420495444898209948*lu1^5*f42n[t]^2*g22n[t] + 12856172198469730170*lu1^6*f42n[t]^2*g22n[t] + 90391946768138838432* lu1^7*f42n[t]^2*g22n[t] + 185912403567261430488*lu1^8*f42n[t]^2* g22n[t] + 42305589485347620864*lu1^9*f42n[t]^2*g22n[t] - 247208046594640299552*lu1^10*f42n[t]^2*g22n[t] - 301798048389107685120*lu1^11*f42n[t]^2*g22n[t] - 178331190911558332800*lu1^12*f42n[t]^2*g22n[t] - 49047681618206208000*lu1^13*f42n[t]^2*g22n[t] + 50099918796*Sqrt[70]*f40[t]*f44[t]*g22n[t] - 723520192320*Sqrt[70]* lu1*f40[t]*f44[t]*g22n[t] - 51796168803036*Sqrt[70]*lu1^2*f40[t]* f44[t]*g22n[t] + 318841502257296*Sqrt[70]*lu1^3*f40[t]*f44[t]* g22n[t] + 13482682793027388*Sqrt[70]*lu1^4*f40[t]*f44[t]*g22n[t] + 3830988638267568*Sqrt[70]*lu1^5*f40[t]*f44[t]*g22n[t] - 1052146721996056020*Sqrt[70]*lu1^6*f40[t]*f44[t]*g22n[t] - 5251805021322743472*Sqrt[70]*lu1^7*f40[t]*f44[t]*g22n[t] - 6755430816116401848*Sqrt[70]*lu1^8*f40[t]*f44[t]*g22n[t] + 1666582749694362096*Sqrt[70]*lu1^9*f40[t]*f44[t]*g22n[t] + 7039627579997200992*Sqrt[70]*lu1^10*f40[t]*f44[t]*g22n[t] + 13941075092651037120*Sqrt[70]*lu1^11*f40[t]*f44[t]*g22n[t] + 15464133659198956800*Sqrt[70]*lu1^12*f40[t]*f44[t]*g22n[t] + 460264994753088000*Sqrt[70]*lu1^13*f40[t]*f44[t]*g22n[t] - 985838396886*f44[t]^2*g22n[t] + 17815088618460*lu1*f44[t]^2*g22n[t] + 981085605565086*lu1^2*f44[t]^2*g22n[t] - 8662598501364696*lu1^3* f44[t]^2*g22n[t] - 295200275299321098*lu1^4*f44[t]^2*g22n[t] + 223912413681376812*lu1^5*f44[t]^2*g22n[t] + 29895332561507428050* lu1^6*f44[t]^2*g22n[t] + 166251934779657015072*lu1^7*f44[t]^2* g22n[t] + 278196562680127339248*lu1^8*f44[t]^2*g22n[t] - 36738284334702344016*lu1^9*f44[t]^2*g22n[t] - 377612793282404215872* lu1^10*f44[t]^2*g22n[t] - 205281722328601571520*lu1^11*f44[t]^2* g22n[t] - 99182027267420764800*lu1^12*f44[t]^2*g22n[t] - 90179168414673408000*lu1^13*f44[t]^2*g22n[t] - 985838396886*f44n[t]^2* g22n[t] + 17815088618460*lu1*f44n[t]^2*g22n[t] + 981085605565086*lu1^2*f44n[t]^2*g22n[t] - 8662598501364696*lu1^3* f44n[t]^2*g22n[t] - 295200275299321098*lu1^4*f44n[t]^2*g22n[t] + 223912413681376812*lu1^5*f44n[t]^2*g22n[t] + 29895332561507428050* lu1^6*f44n[t]^2*g22n[t] + 166251934779657015072*lu1^7*f44n[t]^2* g22n[t] + 278196562680127339248*lu1^8*f44n[t]^2*g22n[t] - 36738284334702344016*lu1^9*f44n[t]^2*g22n[t] - 377612793282404215872* lu1^10*f44n[t]^2*g22n[t] - 205281722328601571520*lu1^11*f44n[t]^2* g22n[t] - 99182027267420764800*lu1^12*f44n[t]^2*g22n[t] - 90179168414673408000*lu1^13*f44n[t]^2*g22n[t] - 30251716866*f22n[t]*f40[t]*g40[t] - 774222578640*lu1*f22n[t]*f40[t]* g40[t] + 19326116102706*lu1^2*f22n[t]*f40[t]*g40[t] + 1010369972490984*lu1^3*f22n[t]*f40[t]*g40[t] + 6789527007060462*lu1^4* f22n[t]*f40[t]*g40[t] + 16115581570475352*lu1^5*f22n[t]*f40[t]* g40[t] + 452517362154242070*lu1^6*f22n[t]*f40[t]*g40[t] - 3983471693995532088*lu1^7*f22n[t]*f40[t]*g40[t] - 19138994010775969092*lu1^8*f22n[t]*f40[t]*g40[t] - 6563771031088260696*lu1^9*f22n[t]*f40[t]*g40[t] + 41348829221346989328*lu1^10*f22n[t]*f40[t]*g40[t] + 20728794103490044320*lu1^11*f22n[t]*f40[t]*g40[t] - 36600892874113680000*lu1^12*f22n[t]*f40[t]*g40[t] - 21530856094235040000*lu1^13*f22n[t]*f40[t]*g40[t] - 81298546560*Sqrt[3]*f40[t]*f42n[t]*g40[t] + 676491476220*Sqrt[3]*lu1* f40[t]*f42n[t]*g40[t] + 95913267505650*Sqrt[3]*lu1^2*f40[t]*f42n[t]* g40[t] + 42831769500450*Sqrt[3]*lu1^3*f40[t]*f42n[t]*g40[t] - 34379356437428940*Sqrt[3]*lu1^4*f40[t]*f42n[t]*g40[t] - 195434635927789440*Sqrt[3]*lu1^5*f40[t]*f42n[t]*g40[t] + 1280125871729894490*Sqrt[3]*lu1^6*f40[t]*f42n[t]*g40[t] + 7289429160781980450*Sqrt[3]*lu1^7*f40[t]*f42n[t]*g40[t] + 4710320104551717600*Sqrt[3]*lu1^8*f40[t]*f42n[t]*g40[t] - 21251905725071609280*Sqrt[3]*lu1^9*f40[t]*f42n[t]*g40[t] - 26299190803108991040*Sqrt[3]*lu1^10*f40[t]*f42n[t]*g40[t] + 11508385934169381600*Sqrt[3]*lu1^11*f40[t]*f42n[t]*g40[t] + 16923947019469392000*Sqrt[3]*lu1^12*f40[t]*f42n[t]*g40[t] - 1907625849776640000*Sqrt[3]*lu1^13*f40[t]*f42n[t]*g40[t] + 11754010116*Sqrt[70]*f22n[t]*f44[t]*g40[t] - 34689793860*Sqrt[70]*lu1* f22n[t]*f44[t]*g40[t] - 9928112038236*Sqrt[70]*lu1^2*f22n[t]*f44[t]* g40[t] - 77430860257824*Sqrt[70]*lu1^3*f22n[t]*f44[t]*g40[t] + 313853263915968*Sqrt[70]*lu1^4*f22n[t]*f44[t]*g40[t] + 13337836154747748*Sqrt[70]*lu1^5*f22n[t]*f44[t]*g40[t] - 10754801408435580*Sqrt[70]*lu1^6*f22n[t]*f44[t]*g40[t] - 310750974130845672*Sqrt[70]*lu1^7*f22n[t]*f44[t]*g40[t] - 439833423446716188*Sqrt[70]*lu1^8*f22n[t]*f44[t]*g40[t] + 1450440255693374856*Sqrt[70]*lu1^9*f22n[t]*f44[t]*g40[t] + 4532432960292623472*Sqrt[70]*lu1^10*f22n[t]*f44[t]*g40[t] + 4217694039387728160*Sqrt[70]*lu1^11*f22n[t]*f44[t]*g40[t] + 1396594391314867200*Sqrt[70]*lu1^12*f22n[t]*f44[t]*g40[t] + 217012051331040000*Sqrt[70]*lu1^13*f22n[t]*f44[t]*g40[t] - 56461768308*Sqrt[210]*f42n[t]*f44[t]*g40[t] + 107241044796*Sqrt[210]* lu1*f42n[t]*f44[t]*g40[t] + 60319524467790*Sqrt[210]*lu1^2*f42n[t]* f44[t]*g40[t] + 369115126368210*Sqrt[210]*lu1^3*f42n[t]*f44[t]* g40[t] - 15040494255059112*Sqrt[210]*lu1^4*f42n[t]*f44[t]*g40[t] - 112057853392669632*Sqrt[210]*lu1^5*f42n[t]*f44[t]*g40[t] + 521413377750733422*Sqrt[210]*lu1^6*f42n[t]*f44[t]*g40[t] + 3425682639782281650*Sqrt[210]*lu1^7*f42n[t]*f44[t]*g40[t] + 3620613631882750080*Sqrt[210]*lu1^8*f42n[t]*f44[t]*g40[t] - 5372605884765529344*Sqrt[210]*lu1^9*f42n[t]*f44[t]*g40[t] - 10343770759462753152*Sqrt[210]*lu1^10*f42n[t]*f44[t]*g40[t] - 2763949062147851040*Sqrt[210]*lu1^11*f42n[t]*f44[t]*g40[t] + 128908616032502400*Sqrt[210]*lu1^12*f42n[t]*f44[t]*g40[t] - 1387262700004608000*Sqrt[210]*lu1^13*f42n[t]*f44[t]*g40[t] + 56461768308*Sqrt[210]*f42[t]*f44n[t]*g40[t] - 107241044796*Sqrt[210]* lu1*f42[t]*f44n[t]*g40[t] - 60319524467790*Sqrt[210]*lu1^2*f42[t]* f44n[t]*g40[t] - 369115126368210*Sqrt[210]*lu1^3*f42[t]*f44n[t]* g40[t] + 15040494255059112*Sqrt[210]*lu1^4*f42[t]*f44n[t]*g40[t] + 112057853392669632*Sqrt[210]*lu1^5*f42[t]*f44n[t]*g40[t] - 521413377750733422*Sqrt[210]*lu1^6*f42[t]*f44n[t]*g40[t] - 3425682639782281650*Sqrt[210]*lu1^7*f42[t]*f44n[t]*g40[t] - 3620613631882750080*Sqrt[210]*lu1^8*f42[t]*f44n[t]*g40[t] + 5372605884765529344*Sqrt[210]*lu1^9*f42[t]*f44n[t]*g40[t] + 10343770759462753152*Sqrt[210]*lu1^10*f42[t]*f44n[t]*g40[t] + 2763949062147851040*Sqrt[210]*lu1^11*f42[t]*f44n[t]*g40[t] - 128908616032502400*Sqrt[210]*lu1^12*f42[t]*f44n[t]*g40[t] + 1387262700004608000*Sqrt[210]*lu1^13*f42[t]*f44n[t]*g40[t] + 100525654260*f22n[t]*f42[t]*g42[t] - 1908504134640*lu1*f22n[t]*f42[t]* g42[t] - 74922851060820*lu1^2*f22n[t]*f42[t]*g42[t] + 868713110945280*lu1^3*f22n[t]*f42[t]*g42[t] - 7043823779245260*lu1^4* f22n[t]*f42[t]*g42[t] + 98096050057830720*lu1^5*f22n[t]*f42[t]* g42[t] + 1501650608953167300*lu1^6*f22n[t]*f42[t]*g42[t] - 7848231206394884640*lu1^7*f22n[t]*f42[t]*g42[t] - 36050254141875755640*lu1^8*f22n[t]*f42[t]*g42[t] + 23404979734858148880*lu1^9*f22n[t]*f42[t]*g42[t] + 175178565161282181600*lu1^10*f22n[t]*f42[t]*g42[t] + 108996520829322298560*lu1^11*f22n[t]*f42[t]*g42[t] - 77370341957274873600*lu1^12*f22n[t]*f42[t]*g42[t] - 52641369159321600000*lu1^13*f22n[t]*f42[t]*g42[t] - 292561346880*Sqrt[3]*f42[t]*f42n[t]*g42[t] - 1915164084240*Sqrt[3]* lu1*f42[t]*f42n[t]*g42[t] + 357299452471500*Sqrt[3]*lu1^2*f42[t]* f42n[t]*g42[t] + 3456763480120500*Sqrt[3]*lu1^3*f42[t]*f42n[t]* g42[t] - 64158167868961320*Sqrt[3]*lu1^4*f42[t]*f42n[t]*g42[t] - 484703702010740520*Sqrt[3]*lu1^5*f42[t]*f42n[t]*g42[t] + 2783322349457170620*Sqrt[3]*lu1^6*f42[t]*f42n[t]*g42[t] + 8970192433992269700*Sqrt[3]*lu1^7*f42[t]*f42n[t]*g42[t] - 1450590383364962400*Sqrt[3]*lu1^8*f42[t]*f42n[t]*g42[t] + 10534749180264524160*Sqrt[3]*lu1^9*f42[t]*f42n[t]*g42[t] + 45500059086267329280*Sqrt[3]*lu1^10*f42[t]*f42n[t]*g42[t] - 34259562135815860800*Sqrt[3]*lu1^11*f42[t]*f42n[t]*g42[t] - 80413053205175328000*Sqrt[3]*lu1^12*f42[t]*f42n[t]*g42[t] - 4156682283452160000*Sqrt[3]*lu1^13*f42[t]*f42n[t]*g42[t] + 73761263928*Sqrt[210]*f40[t]*f44n[t]*g42[t] + 111235691664*Sqrt[210]* lu1*f40[t]*f44n[t]*g42[t] - 84175767364500*Sqrt[210]*lu1^2*f40[t]* f44n[t]*g42[t] - 632065216236660*Sqrt[210]*lu1^3*f40[t]*f44n[t]* g42[t] + 18683652886031952*Sqrt[210]*lu1^4*f40[t]*f44n[t]*g42[t] + 137247186304208232*Sqrt[210]*lu1^5*f40[t]*f44n[t]*g42[t] - 713761440517058772*Sqrt[210]*lu1^6*f40[t]*f44n[t]*g42[t] - 3604451104110972420*Sqrt[210]*lu1^7*f40[t]*f44n[t]*g42[t] - 2461913272194691680*Sqrt[210]*lu1^8*f40[t]*f44n[t]*g42[t] + 3355738713150810624*Sqrt[210]*lu1^9*f40[t]*f44n[t]*g42[t] + 3009137976861420672*Sqrt[210]*lu1^10*f40[t]*f44n[t]*g42[t] + 5137766903892801600*Sqrt[210]*lu1^11*f40[t]*f44n[t]*g42[t] + 8096669189021395200*Sqrt[210]*lu1^12*f40[t]*f44n[t]*g42[t] + 1471478758154496000*Sqrt[210]*lu1^13*f40[t]*f44n[t]*g42[t] + 17738669520*Sqrt[3]*f22n[t]^2*g42n[t] - 275629068000*Sqrt[3]*lu1* f22n[t]^2*g42n[t] - 12578453908020*Sqrt[3]*lu1^2*f22n[t]^2*g42n[t] + 54094578415020*Sqrt[3]*lu1^3*f22n[t]^2*g42n[t] + 197019466403760*Sqrt[3]*lu1^4*f22n[t]^2*g42n[t] + 20569630000079160*Sqrt[3]*lu1^5*f22n[t]^2*g42n[t] - 16008242196732500*Sqrt[3]*lu1^6*f22n[t]^2*g42n[t] - 859168645651713540*Sqrt[3]*lu1^7*f22n[t]^2*g42n[t] - 570425815830344760*Sqrt[3]*lu1^8*f22n[t]^2*g42n[t] + 6753199961283409920*Sqrt[3]*lu1^9*f22n[t]^2*g42n[t] + 13666456110589751040*Sqrt[3]*lu1^10*f22n[t]^2*g42n[t] + 8023785764375409600*Sqrt[3]*lu1^11*f22n[t]^2*g42n[t] + 392410651270352000*Sqrt[3]*lu1^12*f22n[t]^2*g42n[t] - 590590580099520000*Sqrt[3]*lu1^13*f22n[t]^2*g42n[t] - 19206600930*Sqrt[3]*f40[t]^2*g42n[t] - 746634602340*Sqrt[3]*lu1* f40[t]^2*g42n[t] + 6928909911000*Sqrt[3]*lu1^2*f40[t]^2*g42n[t] + 858540161669850*Sqrt[3]*lu1^3*f40[t]^2*g42n[t] + 13967799018495630*Sqrt[3]*lu1^4*f40[t]^2*g42n[t] + 13007320410010080*Sqrt[3]*lu1^5*f40[t]^2*g42n[t] - 616655363218008180*Sqrt[3]*lu1^6*f40[t]^2*g42n[t] - 2369937141717266550*Sqrt[3]*lu1^7*f40[t]^2*g42n[t] + 1986053922879298800*Sqrt[3]*lu1^8*f40[t]^2*g42n[t] + 18446343875693590560*Sqrt[3]*lu1^9*f40[t]^2*g42n[t] + 13589359306006603680*Sqrt[3]*lu1^10*f40[t]^2*g42n[t] - 24172451556623700000*Sqrt[3]*lu1^11*f40[t]^2*g42n[t] - 25063648989122832000*Sqrt[3]*lu1^12*f40[t]^2*g42n[t] - 606717975346560000*Sqrt[3]*lu1^13*f40[t]^2*g42n[t] + 91551051900*Sqrt[3]*f42[t]^2*g42n[t] + 1774877832000*Sqrt[3]*lu1* f42[t]^2*g42n[t] - 151615097638200*Sqrt[3]*lu1^2*f42[t]^2*g42n[t] - 1654019617779900*Sqrt[3]*lu1^3*f42[t]^2*g42n[t] + 23335053031094700*Sqrt[3]*lu1^4*f42[t]^2*g42n[t] + 119849070975181800*Sqrt[3]*lu1^5*f42[t]^2*g42n[t] - 1456381332433398000*Sqrt[3]*lu1^6*f42[t]^2*g42n[t] + 868791604137158100*Sqrt[3]*lu1^7*f42[t]^2*g42n[t] + 14843338438226995200*Sqrt[3]*lu1^8*f42[t]^2*g42n[t] - 16145872879020561600*Sqrt[3]*lu1^9*f42[t]^2*g42n[t] - 70919722080472104000*Sqrt[3]*lu1^10*f42[t]^2*g42n[t] + 8931430890907224000*Sqrt[3]*lu1^11*f42[t]^2*g42n[t] + 64133649265868448000*Sqrt[3]*lu1^12*f42[t]^2*g42n[t] - 872005366794240000*Sqrt[3]*lu1^13*f42[t]^2*g42n[t] - 252094649220*f22n[t]*f42n[t]*g42n[t] - 867810318840*lu1*f22n[t]* f42n[t]*g42n[t] + 222920510086260*lu1^2*f22n[t]*f42n[t]*g42n[t] + 3191638918680000*lu1^3*f22n[t]*f42n[t]*g42n[t] - 16459421696724300*lu1^4*f22n[t]*f42n[t]*g42n[t] - 302039034584601720*lu1^5*f22n[t]*f42n[t]*g42n[t] + 1824294651206234700*lu1^6*f22n[t]*f42n[t]*g42n[t] + 1474298017530485520*lu1^7*f22n[t]*f42n[t]*g42n[t] - 22855251438474270000*lu1^8*f22n[t]*f42n[t]*g42n[t] - 20108227935943096800*lu1^9*f22n[t]*f42n[t]*g42n[t] + 39205576352503477440*lu1^10*f22n[t]*f42n[t]*g42n[t] - 17534300352309546240*lu1^11*f22n[t]*f42n[t]*g42n[t] - 119268173696720889600*lu1^12*f22n[t]*f42n[t]*g42n[t] - 59151730699252800000*lu1^13*f22n[t]*f42n[t]*g42n[t] - 201010294980*Sqrt[3]*f42n[t]^2*g42n[t] - 140286252240*Sqrt[3]*lu1* f42n[t]^2*g42n[t] + 205684354833300*Sqrt[3]*lu1^2*f42n[t]^2* g42n[t] + 1802743862340600*Sqrt[3]*lu1^3*f42n[t]^2*g42n[t] - 40823114837866620*Sqrt[3]*lu1^4*f42n[t]^2*g42n[t] - 364854631035558720*Sqrt[3]*lu1^5*f42n[t]^2*g42n[t] + 1326941017023772620*Sqrt[3]*lu1^6*f42n[t]^2*g42n[t] + 9838984038129427800*Sqrt[3]*lu1^7*f42n[t]^2*g42n[t] + 13392748054862032800*Sqrt[3]*lu1^8*f42n[t]^2*g42n[t] - 5611123698756037440*Sqrt[3]*lu1^9*f42n[t]^2*g42n[t] - 25419662994204774720*Sqrt[3]*lu1^10*f42n[t]^2*g42n[t] - 25328131244908636800*Sqrt[3]*lu1^11*f42n[t]^2*g42n[t] - 16279403939306880000*Sqrt[3]*lu1^12*f42n[t]^2*g42n[t] - 5028687650246400000*Sqrt[3]*lu1^13*f42n[t]^2*g42n[t] - 73761263928*Sqrt[210]*f40[t]*f44[t]*g42n[t] - 111235691664*Sqrt[210]* lu1*f40[t]*f44[t]*g42n[t] + 84175767364500*Sqrt[210]*lu1^2*f40[t]* f44[t]*g42n[t] + 632065216236660*Sqrt[210]*lu1^3*f40[t]*f44[t]* g42n[t] - 18683652886031952*Sqrt[210]*lu1^4*f40[t]*f44[t]*g42n[t] - 137247186304208232*Sqrt[210]*lu1^5*f40[t]*f44[t]*g42n[t] + 713761440517058772*Sqrt[210]*lu1^6*f40[t]*f44[t]*g42n[t] + 3604451104110972420*Sqrt[210]*lu1^7*f40[t]*f44[t]*g42n[t] + 2461913272194691680*Sqrt[210]*lu1^8*f40[t]*f44[t]*g42n[t] - 3355738713150810624*Sqrt[210]*lu1^9*f40[t]*f44[t]*g42n[t] - 3009137976861420672*Sqrt[210]*lu1^10*f40[t]*f44[t]*g42n[t] - 5137766903892801600*Sqrt[210]*lu1^11*f40[t]*f44[t]*g42n[t] - 8096669189021395200*Sqrt[210]*lu1^12*f40[t]*f44[t]*g42n[t] - 1471478758154496000*Sqrt[210]*lu1^13*f40[t]*f44[t]*g42n[t] + 353790955980*Sqrt[3]*f44[t]^2*g42n[t] - 404922981960*Sqrt[3]*lu1* f44[t]^2*g42n[t] - 314911251181800*Sqrt[3]*lu1^2*f44[t]^2*g42n[t] - 3075168087274500*Sqrt[3]*lu1^3*f44[t]^2*g42n[t] + 56777661642673020*Sqrt[3]*lu1^4*f44[t]^2*g42n[t] + 641138334480989520*Sqrt[3]*lu1^5*f44[t]^2*g42n[t] - 1271857570279941120*Sqrt[3]*lu1^6*f44[t]^2*g42n[t] - 18677204384538783300*Sqrt[3]*lu1^7*f44[t]^2*g42n[t] - 38005091017128261600*Sqrt[3]*lu1^8*f44[t]^2*g42n[t] + 9688600066396722240*Sqrt[3]*lu1^9*f44[t]^2*g42n[t] + 89059567838053216320*Sqrt[3]*lu1^10*f44[t]^2*g42n[t] + 60816942933628257600*Sqrt[3]*lu1^11*f44[t]^2*g42n[t] + 6512141027450016000*Sqrt[3]*lu1^12*f44[t]^2*g42n[t] + 11043190861920000000*Sqrt[3]*lu1^13*f44[t]^2*g42n[t] + 353790955980*Sqrt[3]*f44n[t]^2*g42n[t] - 404922981960*Sqrt[3]*lu1* f44n[t]^2*g42n[t] - 314911251181800*Sqrt[3]*lu1^2*f44n[t]^2* g42n[t] - 3075168087274500*Sqrt[3]*lu1^3*f44n[t]^2*g42n[t] + 56777661642673020*Sqrt[3]*lu1^4*f44n[t]^2*g42n[t] + 641138334480989520*Sqrt[3]*lu1^5*f44n[t]^2*g42n[t] - 1271857570279941120*Sqrt[3]*lu1^6*f44n[t]^2*g42n[t] - 18677204384538783300*Sqrt[3]*lu1^7*f44n[t]^2*g42n[t] - 38005091017128261600*Sqrt[3]*lu1^8*f44n[t]^2*g42n[t] + 9688600066396722240*Sqrt[3]*lu1^9*f44n[t]^2*g42n[t] + 89059567838053216320*Sqrt[3]*lu1^10*f44n[t]^2*g42n[t] + 60816942933628257600*Sqrt[3]*lu1^11*f44n[t]^2*g42n[t] + 6512141027450016000*Sqrt[3]*lu1^12*f44n[t]^2*g42n[t] + 11043190861920000000*Sqrt[3]*lu1^13*f44n[t]^2*g42n[t] + 572*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22[t]^2* (99*(-93204 + 1967625*lu1 + 1531803*lu1^2 - 91092374*lu1^3 + 576803690*lu1^4 - 20028038803*lu1^5 - 59883585865*lu1^6 + 152009828576*lu1^7 + 77988612152*lu1^8 + 109210508080*lu1^9 + 92320791600*lu1^10)*f22n[t] - 15*Sqrt[3]*(-985428 + 18509163*lu1 + 89383784*lu1^2 + 889048978*lu1^3 - 32059769976*lu1^4 - 215171349461*lu1^5 + 101355593116*lu1^6 + 466309729888*lu1^7 + 1026864367856*lu1^8 + 616302763728*lu1^9 + 219920291200*lu1^10)*f42n[t] + 7*(-3 + 13*lu1 + 38*lu1^2)* (11*(-13752 + 227298*lu1 + 1495785*lu1^2 - 17082889*lu1^3 - 32044579*lu1^4 - 1133507257*lu1^5 - 3438479866*lu1^6 + 2823963380*lu1^7 + 3132253400*lu1^8)*g22n[t] + 5*Sqrt[3]*(10854 - 97983*lu1 + 2982993*lu1^2 - 8009033*lu1^3 - 67444079*lu1^4 - 21631364*lu1^5 + 303774868*lu1^6 + 437645488*lu1^7 + 103724800*lu1^8)*g42n[t])) + 286*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f20[t]^2* (99*(-93204 + 1967625*lu1 + 1531803*lu1^2 - 91092374*lu1^3 + 576803690*lu1^4 - 20028038803*lu1^5 - 59883585865*lu1^6 + 152009828576*lu1^7 + 77988612152*lu1^8 + 109210508080*lu1^9 + 92320791600*lu1^10)*f22n[t] - 5*Sqrt[3]*(1513566 - 38307483*lu1 - 306535530*lu1^2 + 4873158390*lu1^3 + 80452744286*lu1^4 - 265097062203*lu1^5 - 1755771445866*lu1^6 - 1912777774440*lu1^7 + 1712599875120*lu1^8 + 3713960962512*lu1^9 + 416635784800*lu1^10)* f42n[t] - 3*(11*(-186084 + 2180970*lu1 + 50612163*lu1^2 - 172484334*lu1^3 - 4739355190*lu1^4 - 30168984718*lu1^5 - 103079249965*lu1^6 + 4525377026*lu1^7 + 149334713372*lu1^8 + 143879042840*lu1^9 + 30273967200*lu1^10)*g22n[t] + 15*Sqrt[3]*(25920 + 125046*lu1 - 14207655*lu1^2 - 19117524*lu1^3 + 512205742*lu1^4 + 2743343690*lu1^5 - 8251558863*lu1^6 - 30927386900*lu1^7 - 4731896368*lu1^8 + 24423797424*lu1^9 + 8614455600*lu1^10)*g42n[t])) + 11754010116*Sqrt[70]*f22n[t]*f40[t]*g44[t] - 34689793860*Sqrt[70]*lu1* f22n[t]*f40[t]*g44[t] - 9928112038236*Sqrt[70]*lu1^2*f22n[t]*f40[t]* g44[t] - 77430860257824*Sqrt[70]*lu1^3*f22n[t]*f40[t]*g44[t] + 313853263915968*Sqrt[70]*lu1^4*f22n[t]*f40[t]*g44[t] + 13337836154747748*Sqrt[70]*lu1^5*f22n[t]*f40[t]*g44[t] - 10754801408435580*Sqrt[70]*lu1^6*f22n[t]*f40[t]*g44[t] - 310750974130845672*Sqrt[70]*lu1^7*f22n[t]*f40[t]*g44[t] - 439833423446716188*Sqrt[70]*lu1^8*f22n[t]*f40[t]*g44[t] + 1450440255693374856*Sqrt[70]*lu1^9*f22n[t]*f40[t]*g44[t] + 4532432960292623472*Sqrt[70]*lu1^10*f22n[t]*f40[t]*g44[t] + 4217694039387728160*Sqrt[70]*lu1^11*f22n[t]*f40[t]*g44[t] + 1396594391314867200*Sqrt[70]*lu1^12*f22n[t]*f40[t]*g44[t] + 217012051331040000*Sqrt[70]*lu1^13*f22n[t]*f40[t]*g44[t] - 30585203748*Sqrt[210]*f40[t]*f42n[t]*g44[t] - 108234354924*Sqrt[210]* lu1*f40[t]*f42n[t]*g44[t] + 20052192034350*Sqrt[210]*lu1^2*f40[t]* f42n[t]*g44[t] + 441014747267610*Sqrt[210]*lu1^3*f40[t]*f42n[t]* g44[t] + 1065655270797768*Sqrt[210]*lu1^4*f40[t]*f42n[t]*g44[t] - 42578665131569112*Sqrt[210]*lu1^5*f40[t]*f42n[t]*g44[t] - 173622004648774098*Sqrt[210]*lu1^6*f40[t]*f42n[t]*g44[t] + 841053486610288170*Sqrt[210]*lu1^7*f40[t]*f42n[t]*g44[t] + 4631671539812184480*Sqrt[210]*lu1^8*f40[t]*f42n[t]*g44[t] + 4239445638911510016*Sqrt[210]*lu1^9*f40[t]*f42n[t]*g44[t] - 6982821659039645952*Sqrt[210]*lu1^10*f40[t]*f42n[t]*g44[t] - 12360789029886256800*Sqrt[210]*lu1^11*f40[t]*f42n[t]*g44[t] - 5055762578456611200*Sqrt[210]*lu1^12*f40[t]*f42n[t]*g44[t] - 1164208662038016000*Sqrt[210]*lu1^13*f40[t]*f42n[t]*g44[t] - 309691850580*f22n[t]*f44[t]*g44[t] - 352256733360*lu1*f22n[t]*f44[t]* g44[t] + 338888414046420*lu1^2*f22n[t]*f44[t]*g44[t] + 3297377988429840*lu1^3*f22n[t]*f44[t]*g44[t] - 92765305216957380*lu1^4*f22n[t]*f44[t]*g44[t] - 717984836952358080*lu1^5*f22n[t]*f44[t]*g44[t] + 4108863169928320860*lu1^6*f22n[t]*f44[t]*g44[t] + 16124979372337925040*lu1^7*f22n[t]*f44[t]*g44[t] + 4060287679103222280*lu1^8*f22n[t]*f44[t]*g44[t] + 22769085693265670640*lu1^9*f22n[t]*f44[t]*g44[t] + 108156380334807406560*lu1^10*f22n[t]*f44[t]*g44[t] - 8931428297118411840*lu1^11*f22n[t]*f44[t]*g44[t] - 196017184324347321600*lu1^12*f22n[t]*f44[t]*g44[t] - 97873255973035200000*lu1^13*f22n[t]*f44[t]*g44[t] + 1053281108880*Sqrt[3]*f42n[t]*f44[t]*g44[t] + 1386926747640*Sqrt[3]* lu1*f42n[t]*f44[t]*g44[t] - 1124879232651300*Sqrt[3]*lu1^2*f42n[t]* f44[t]*g44[t] - 9544038949109700*Sqrt[3]*lu1^3*f42n[t]*f44[t]* g44[t] + 228984142222393320*Sqrt[3]*lu1^4*f42n[t]*f44[t]*g44[t] + 1912844082767921520*Sqrt[3]*lu1^5*f42n[t]*f44[t]*g44[t] - 8016729548886467220*Sqrt[3]*lu1^6*f42n[t]*f44[t]*g44[t] - 50195683882367211300*Sqrt[3]*lu1^7*f42n[t]*f44[t]*g44[t] - 55744145366905968000*Sqrt[3]*lu1^8*f42n[t]*f44[t]*g44[t] + 29589265824895539840*Sqrt[3]*lu1^9*f42n[t]*f44[t]*g44[t] + 88878073121380206720*Sqrt[3]*lu1^10*f42n[t]*f44[t]*g44[t] + 116479975780732200000*Sqrt[3]*lu1^11*f42n[t]*f44[t]*g44[t] + 107443686547698144000*Sqrt[3]*lu1^12*f42n[t]*f44[t]*g44[t] + 24157622689804800000*Sqrt[3]*lu1^13*f42n[t]*f44[t]*g44[t] + 345699196920*Sqrt[3]*f42[t]*f44n[t]*g44[t] + 2196772711560*Sqrt[3]* lu1*f42[t]*f44n[t]*g44[t] - 495056730287700*Sqrt[3]*lu1^2*f42[t]* f44n[t]*g44[t] - 3393702774560700*Sqrt[3]*lu1^3*f42[t]*f44n[t]* g44[t] + 115428818937047280*Sqrt[3]*lu1^4*f42[t]*f44n[t]*g44[t] + 630567413805942480*Sqrt[3]*lu1^5*f42[t]*f44n[t]*g44[t] - 5473014408326584980*Sqrt[3]*lu1^6*f42[t]*f44n[t]*g44[t] - 12841275113289644700*Sqrt[3]*lu1^7*f42[t]*f44n[t]*g44[t] + 20266036667350555200*Sqrt[3]*lu1^8*f42[t]*f44n[t]*g44[t] + 10212065692102095360*Sqrt[3]*lu1^9*f42[t]*f44n[t]*g44[t] - 89241062554726225920*Sqrt[3]*lu1^10*f42[t]*f44n[t]*g44[t] - 5153910086524315200*Sqrt[3]*lu1^11*f42[t]*f44n[t]*g44[t] + 94419404492798112000*Sqrt[3]*lu1^12*f42[t]*f44n[t]*g44[t] + 2071240965964800000*Sqrt[3]*lu1^13*f42[t]*f44n[t]*g44[t] + 30585203748*Sqrt[210]*f40[t]*f42[t]*g44n[t] + 108234354924*Sqrt[210]* lu1*f40[t]*f42[t]*g44n[t] - 20052192034350*Sqrt[210]*lu1^2*f40[t]* f42[t]*g44n[t] - 441014747267610*Sqrt[210]*lu1^3*f40[t]*f42[t]* g44n[t] - 1065655270797768*Sqrt[210]*lu1^4*f40[t]*f42[t]*g44n[t] + 42578665131569112*Sqrt[210]*lu1^5*f40[t]*f42[t]*g44n[t] + 173622004648774098*Sqrt[210]*lu1^6*f40[t]*f42[t]*g44n[t] - 841053486610288170*Sqrt[210]*lu1^7*f40[t]*f42[t]*g44n[t] - 4631671539812184480*Sqrt[210]*lu1^8*f40[t]*f42[t]*g44n[t] - 4239445638911510016*Sqrt[210]*lu1^9*f40[t]*f42[t]*g44n[t] + 6982821659039645952*Sqrt[210]*lu1^10*f40[t]*f42[t]*g44n[t] + 12360789029886256800*Sqrt[210]*lu1^11*f40[t]*f42[t]*g44n[t] + 5055762578456611200*Sqrt[210]*lu1^12*f40[t]*f42[t]*g44n[t] + 1164208662038016000*Sqrt[210]*lu1^13*f40[t]*f42[t]*g44n[t] - 345699196920*Sqrt[3]*f42[t]*f44[t]*g44n[t] - 2196772711560*Sqrt[3]* lu1*f42[t]*f44[t]*g44n[t] + 495056730287700*Sqrt[3]*lu1^2*f42[t]* f44[t]*g44n[t] + 3393702774560700*Sqrt[3]*lu1^3*f42[t]*f44[t]* g44n[t] - 115428818937047280*Sqrt[3]*lu1^4*f42[t]*f44[t]*g44n[t] - 630567413805942480*Sqrt[3]*lu1^5*f42[t]*f44[t]*g44n[t] + 5473014408326584980*Sqrt[3]*lu1^6*f42[t]*f44[t]*g44n[t] + 12841275113289644700*Sqrt[3]*lu1^7*f42[t]*f44[t]*g44n[t] - 20266036667350555200*Sqrt[3]*lu1^8*f42[t]*f44[t]*g44n[t] - 10212065692102095360*Sqrt[3]*lu1^9*f42[t]*f44[t]*g44n[t] + 89241062554726225920*Sqrt[3]*lu1^10*f42[t]*f44[t]*g44n[t] + 5153910086524315200*Sqrt[3]*lu1^11*f42[t]*f44[t]*g44n[t] - 94419404492798112000*Sqrt[3]*lu1^12*f42[t]*f44[t]*g44n[t] - 2071240965964800000*Sqrt[3]*lu1^13*f42[t]*f44[t]*g44n[t] - 309691850580*f22n[t]*f44n[t]*g44n[t] - 352256733360*lu1*f22n[t]* f44n[t]*g44n[t] + 338888414046420*lu1^2*f22n[t]*f44n[t]*g44n[t] + 3297377988429840*lu1^3*f22n[t]*f44n[t]*g44n[t] - 92765305216957380*lu1^4*f22n[t]*f44n[t]*g44n[t] - 717984836952358080*lu1^5*f22n[t]*f44n[t]*g44n[t] + 4108863169928320860*lu1^6*f22n[t]*f44n[t]*g44n[t] + 16124979372337925040*lu1^7*f22n[t]*f44n[t]*g44n[t] + 4060287679103222280*lu1^8*f22n[t]*f44n[t]*g44n[t] + 22769085693265670640*lu1^9*f22n[t]*f44n[t]*g44n[t] + 108156380334807406560*lu1^10*f22n[t]*f44n[t]*g44n[t] - 8931428297118411840*lu1^11*f22n[t]*f44n[t]*g44n[t] - 196017184324347321600*lu1^12*f22n[t]*f44n[t]*g44n[t] - 97873255973035200000*lu1^13*f22n[t]*f44n[t]*g44n[t] + 1053281108880*Sqrt[3]*f42n[t]*f44n[t]*g44n[t] + 1386926747640*Sqrt[3]*lu1*f42n[t]*f44n[t]*g44n[t] - 1124879232651300*Sqrt[3]*lu1^2*f42n[t]*f44n[t]*g44n[t] - 9544038949109700*Sqrt[3]*lu1^3*f42n[t]*f44n[t]*g44n[t] + 228984142222393320*Sqrt[3]*lu1^4*f42n[t]*f44n[t]*g44n[t] + 1912844082767921520*Sqrt[3]*lu1^5*f42n[t]*f44n[t]*g44n[t] - 8016729548886467220*Sqrt[3]*lu1^6*f42n[t]*f44n[t]*g44n[t] - 50195683882367211300*Sqrt[3]*lu1^7*f42n[t]*f44n[t]*g44n[t] - 55744145366905968000*Sqrt[3]*lu1^8*f42n[t]*f44n[t]*g44n[t] + 29589265824895539840*Sqrt[3]*lu1^9*f42n[t]*f44n[t]*g44n[t] + 88878073121380206720*Sqrt[3]*lu1^10*f42n[t]*f44n[t]*g44n[t] + 116479975780732200000*Sqrt[3]*lu1^11*f42n[t]*f44n[t]*g44n[t] + 107443686547698144000*Sqrt[3]*lu1^12*f42n[t]*f44n[t]*g44n[t] + 24157622689804800000*Sqrt[3]*lu1^13*f42n[t]*f44n[t]*g44n[t] - 2*f20[t]*(62058242178*Sqrt[15]*f40[t]*f42n[t] - 1991075233050*Sqrt[15]*lu1*f40[t]*f42n[t] - 46232225862858*Sqrt[15]* lu1^2*f40[t]*f42n[t] + 1613971617734718*Sqrt[15]*lu1^3*f40[t]* f42n[t] - 2001501393463446*Sqrt[15]*lu1^4*f40[t]*f42n[t] - 133843242615613566*Sqrt[15]*lu1^5*f40[t]*f42n[t] + 604355007173802690*Sqrt[15]*lu1^6*f40[t]*f42n[t] + 10898481204701445834*Sqrt[15]*lu1^7*f40[t]*f42n[t] + 32335740821498379516*Sqrt[15]*lu1^8*f40[t]*f42n[t] + 17350513582476313968*Sqrt[15]*lu1^9*f40[t]*f42n[t] - 10201655646422905824*Sqrt[15]*lu1^10*f40[t]*f42n[t] + 25143082788784650720*Sqrt[15]*lu1^11*f40[t]*f42n[t] + 33428888183344699200*Sqrt[15]*lu1^12*f40[t]*f42n[t] + 1876041681739680000*Sqrt[15]*lu1^13*f40[t]*f42n[t] - 24172738470*Sqrt[42]*f42n[t]*f44[t] + 462013701390*Sqrt[42]*lu1* f42n[t]*f44[t] + 25887893076990*Sqrt[42]*lu1^2*f42n[t]*f44[t] - 566945726052090*Sqrt[42]*lu1^3*f42n[t]*f44[t] - 1266691616352990*Sqrt[42]*lu1^4*f42n[t]*f44[t] + 157348139424404730*Sqrt[42]*lu1^5*f42n[t]*f44[t] - 579660749501706470*Sqrt[42]*lu1^6*f42n[t]*f44[t] - 10264277434340307870*Sqrt[42]*lu1^7*f42n[t]*f44[t] - 21417537947156217780*Sqrt[42]*lu1^8*f42n[t]*f44[t] + 4620326622429358320*Sqrt[42]*lu1^9*f42n[t]*f44[t] + 29596954188610359840*Sqrt[42]*lu1^10*f42n[t]*f44[t] + 25283694430230645600*Sqrt[42]*lu1^11*f42n[t]*f44[t] + 24844767271625768000*Sqrt[42]*lu1^12*f42n[t]*f44[t] + 5096273257988640000*Sqrt[42]*lu1^13*f42n[t]*f44[t] + 47331265410*Sqrt[14]*f22[t]*f44n[t] - 1219876733790*Sqrt[14]*lu1* f22[t]*f44n[t] - 33380481484350*Sqrt[14]*lu1^2*f22[t]*f44n[t] + 541494661812390*Sqrt[14]*lu1^3*f22[t]*f44n[t] + 5385348822595170*Sqrt[14]*lu1^4*f22[t]*f44n[t] + 71159343284236350*Sqrt[14]*lu1^5*f22[t]*f44n[t] - 1075887470562068450*Sqrt[14]*lu1^6*f22[t]*f44n[t] - 12526285836522550950*Sqrt[14]*lu1^7*f22[t]*f44n[t] - 18743179440505025220*Sqrt[14]*lu1^8*f22[t]*f44n[t] + 6461289293423490240*Sqrt[14]*lu1^9*f22[t]*f44n[t] + 70757683008177010560*Sqrt[14]*lu1^10*f22[t]*f44n[t] + 119153999220213603360*Sqrt[14]*lu1^11*f22[t]*f44n[t] + 73252020420928606400*Sqrt[14]*lu1^12*f22[t]*f44n[t] + 15828874538436960000*Sqrt[14]*lu1^13*f22[t]*f44n[t] + 24172738470*Sqrt[42]*f42[t]*f44n[t] - 462013701390*Sqrt[42]*lu1* f42[t]*f44n[t] - 25887893076990*Sqrt[42]*lu1^2*f42[t]*f44n[t] + 566945726052090*Sqrt[42]*lu1^3*f42[t]*f44n[t] + 1266691616352990*Sqrt[42]*lu1^4*f42[t]*f44n[t] - 157348139424404730*Sqrt[42]*lu1^5*f42[t]*f44n[t] + 579660749501706470*Sqrt[42]*lu1^6*f42[t]*f44n[t] + 10264277434340307870*Sqrt[42]*lu1^7*f42[t]*f44n[t] + 21417537947156217780*Sqrt[42]*lu1^8*f42[t]*f44n[t] - 4620326622429358320*Sqrt[42]*lu1^9*f42[t]*f44n[t] - 29596954188610359840*Sqrt[42]*lu1^10*f42[t]*f44n[t] - 25283694430230645600*Sqrt[42]*lu1^11*f42[t]*f44n[t] - 24844767271625768000*Sqrt[42]*lu1^12*f42[t]*f44n[t] - 5096273257988640000*Sqrt[42]*lu1^13*f42[t]*f44n[t] + 1970268300*Sqrt[3]*f42n[t]*g20[t] - 90950584725*Sqrt[3]*lu1*f42n[t]* g20[t] - 1976775320520*Sqrt[3]*lu1^2*f42n[t]*g20[t] + 84902740187265*Sqrt[3]*lu1^3*f42n[t]*g20[t] + 965546017365930* Sqrt[3]*lu1^4*f42n[t]*g20[t] - 16790524211095635*Sqrt[3]*lu1^5* f42n[t]*g20[t] - 202174336179715900*Sqrt[3]*lu1^6*f42n[t]*g20[t] + 206652716442106935*Sqrt[3]*lu1^7*f42n[t]*g20[t] + 6657679064297491230*Sqrt[3]*lu1^8*f42n[t]*g20[t] + 14616838967548577760*Sqrt[3]*lu1^9*f42n[t]*g20[t] - 2103888276160791120*Sqrt[3]*lu1^10*f42n[t]*g20[t] - 24871674623242246800*Sqrt[3]*lu1^11*f42n[t]*g20[t] - 13257504179507588000*Sqrt[3]*lu1^12*f42n[t]*g20[t] + 914935209268080000*Sqrt[3]*lu1^13*f42n[t]*g20[t] - 42042815100*Sqrt[14]*f44n[t]*g22[t] + 799752926115*Sqrt[14]*lu1* f44n[t]*g22[t] + 42807971921715*Sqrt[14]*lu1^2*f44n[t]*g22[t] - 478245357854550*Sqrt[14]*lu1^3*f44n[t]*g22[t] - 12113332744158360*Sqrt[14]*lu1^4*f44n[t]*g22[t] + 37717130501757135*Sqrt[14]*lu1^5*f44n[t]*g22[t] + 1217541016261067355*Sqrt[14]*lu1^6*f44n[t]*g22[t] + 4689199693883313180*Sqrt[14]*lu1^7*f44n[t]*g22[t] + 5713368943443168150*Sqrt[14]*lu1^8*f44n[t]*g22[t] + 540642908177194680*Sqrt[14]*lu1^9*f44n[t]*g22[t] - 12236174323440518880*Sqrt[14]*lu1^10*f44n[t]*g22[t] - 21919933912828723200*Sqrt[14]*lu1^11*f44n[t]*g22[t] - 12239395864164612000*Sqrt[14]*lu1^12*f44n[t]*g22[t] - 1741632967554480000*Sqrt[14]*lu1^13*f44n[t]*g22[t] - 10732020156*Sqrt[5]*f40[t]*g22n[t] + 180992077695*Sqrt[5]*lu1* f40[t]*g22n[t] + 10032873831981*Sqrt[5]*lu1^2*f40[t]*g22n[t] - 79466273105076*Sqrt[5]*lu1^3*f40[t]*g22n[t] - 2135976116279148* Sqrt[5]*lu1^4*f40[t]*g22n[t] - 3657819176410113*Sqrt[5]*lu1^5* f40[t]*g22n[t] + 132989212696413645*Sqrt[5]*lu1^6*f40[t]*g22n[t] + 1461683381859848862*Sqrt[5]*lu1^7*f40[t]*g22n[t] + 4239363016404525438*Sqrt[5]*lu1^8*f40[t]*g22n[t] + 2391718249577469384*Sqrt[5]*lu1^9*f40[t]*g22n[t] - 9221769956598705792*Sqrt[5]*lu1^10*f40[t]*g22n[t] - 16362846010969492320*Sqrt[5]*lu1^11*f40[t]*g22n[t] - 8732976342230368800*Sqrt[5]*lu1^12*f40[t]*g22n[t] - 1314514235322288000*Sqrt[5]*lu1^13*f40[t]*g22n[t] + 42042815100*Sqrt[14]*f44[t]*g22n[t] - 799752926115*Sqrt[14]*lu1* f44[t]*g22n[t] - 42807971921715*Sqrt[14]*lu1^2*f44[t]*g22n[t] + 478245357854550*Sqrt[14]*lu1^3*f44[t]*g22n[t] + 12113332744158360*Sqrt[14]*lu1^4*f44[t]*g22n[t] - 37717130501757135*Sqrt[14]*lu1^5*f44[t]*g22n[t] - 1217541016261067355*Sqrt[14]*lu1^6*f44[t]*g22n[t] - 4689199693883313180*Sqrt[14]*lu1^7*f44[t]*g22n[t] - 5713368943443168150*Sqrt[14]*lu1^8*f44[t]*g22n[t] - 540642908177194680*Sqrt[14]*lu1^9*f44[t]*g22n[t] + 12236174323440518880*Sqrt[14]*lu1^10*f44[t]*g22n[t] + 21919933912828723200*Sqrt[14]*lu1^11*f44[t]*g22n[t] + 12239395864164612000*Sqrt[14]*lu1^12*f44[t]*g22n[t] + 1741632967554480000*Sqrt[14]*lu1^13*f44[t]*g22n[t] + 3050153253*Sqrt[15]*f42n[t]*g40[t] - 29977139745*Sqrt[15]*lu1* f42n[t]*g40[t] - 6686978439078*Sqrt[15]*lu1^2*f42n[t]*g40[t] + 10362017659518*Sqrt[15]*lu1^3*f42n[t]*g40[t] + 4181750707501689*Sqrt[15]*lu1^4*f42n[t]*g40[t] + 18864313624269939*Sqrt[15]*lu1^5*f42n[t]*g40[t] - 159598433830462200*Sqrt[15]*lu1^6*f42n[t]*g40[t] - 696872934382933056*Sqrt[15]*lu1^7*f42n[t]*g40[t] - 353528991554111184*Sqrt[15]*lu1^8*f42n[t]*g40[t] + 272230002676651488*Sqrt[15]*lu1^9*f42n[t]*g40[t] - 2207551794252999264*Sqrt[15]*lu1^10*f42n[t]*g40[t] - 2620724581102649280*Sqrt[15]*lu1^11*f42n[t]*g40[t] + 1575293128067299200*Sqrt[15]*lu1^12*f42n[t]*g40[t] + 1763364933892800000*Sqrt[15]*lu1^13*f42n[t]*g40[t] + 8633237175*Sqrt[42]*f44n[t]*g42[t] - 36855525285*Sqrt[42]*lu1* f44n[t]*g42[t] - 9532827352440*Sqrt[42]*lu1^2*f44n[t]*g42[t] - 34019645004990*Sqrt[42]*lu1^3*f44n[t]*g42[t] + 2253942048777195*Sqrt[42]*lu1^4*f44n[t]*g42[t] + 15461163430844775*Sqrt[42]*lu1^5*f44n[t]*g42[t] - 102710575837781550*Sqrt[42]*lu1^6*f44n[t]*g42[t] - 479812936496020980*Sqrt[42]*lu1^7*f44n[t]*g42[t] + 125337780716714820*Sqrt[42]*lu1^8*f44n[t]*g42[t] + 2349646648633957440*Sqrt[42]*lu1^9*f44n[t]*g42[t] + 2477568458767602000*Sqrt[42]*lu1^10*f44n[t]*g42[t] + 195723777834049440*Sqrt[42]*lu1^11*f44n[t]*g42[t] + 296850516436761600*Sqrt[42]*lu1^12*f44n[t]*g42[t] + 820385485434480000*Sqrt[42]*lu1^13*f44n[t]*g42[t] + 3708615213*Sqrt[15]*f40[t]*g42n[t] - 18767291355*Sqrt[15]*lu1* f40[t]*g42n[t] - 4631698897308*Sqrt[15]*lu1^2*f40[t]*g42n[t] - 32078750181642*Sqrt[15]*lu1^3*f40[t]*g42n[t] + 2229381796503729*Sqrt[15]*lu1^4*f40[t]*g42n[t] + 18020809265501049*Sqrt[15]*lu1^5*f40[t]*g42n[t] - 32574742964450910*Sqrt[15]*lu1^6*f40[t]*g42n[t] - 575809007539494516*Sqrt[15]*lu1^7*f40[t]*g42n[t] - 1962738172151799204*Sqrt[15]*lu1^8*f40[t]*g42n[t] - 3603599429161819632*Sqrt[15]*lu1^9*f40[t]*g42n[t] - 2782943044223557584*Sqrt[15]*lu1^10*f40[t]*g42n[t] + 2606767583068009440*Sqrt[15]*lu1^11*f40[t]*g42n[t] + 5053223489454048000*Sqrt[15]*lu1^12*f40[t]*g42n[t] + 1499597514144240000*Sqrt[15]*lu1^13*f40[t]*g42n[t] - 8633237175*Sqrt[42]*f44[t]*g42n[t] + 36855525285*Sqrt[42]*lu1* f44[t]*g42n[t] + 9532827352440*Sqrt[42]*lu1^2*f44[t]*g42n[t] + 34019645004990*Sqrt[42]*lu1^3*f44[t]*g42n[t] - 2253942048777195*Sqrt[42]*lu1^4*f44[t]*g42n[t] - 15461163430844775*Sqrt[42]*lu1^5*f44[t]*g42n[t] + 102710575837781550*Sqrt[42]*lu1^6*f44[t]*g42n[t] + 479812936496020980*Sqrt[42]*lu1^7*f44[t]*g42n[t] - 125337780716714820*Sqrt[42]*lu1^8*f44[t]*g42n[t] - 2349646648633957440*Sqrt[42]*lu1^9*f44[t]*g42n[t] - 2477568458767602000*Sqrt[42]*lu1^10*f44[t]*g42n[t] - 195723777834049440*Sqrt[42]*lu1^11*f44[t]*g42n[t] - 296850516436761600*Sqrt[42]*lu1^12*f44[t]*g42n[t] - 820385485434480000*Sqrt[42]*lu1^13*f44[t]*g42n[t] - 9291699135*Sqrt[42]*f42n[t]*g44[t] + 25645676895*Sqrt[42]*lu1* f42n[t]*g44[t] + 7477547810670*Sqrt[42]*lu1^2*f42n[t]*g44[t] + 76460412846150*Sqrt[42]*lu1^3*f42n[t]*g44[t] - 301573137779235*Sqrt[42]*lu1^4*f42n[t]*g44[t] - 14617659072075885*Sqrt[42]*lu1^5*f42n[t]*g44[t] - 24313115028229740*Sqrt[42]*lu1^6*f42n[t]*g44[t] + 358749009652582440*Sqrt[42]*lu1^7*f42n[t]*g44[t] + 1483871399880973200*Sqrt[42]*lu1^8*f42n[t]*g44[t] + 1526182783204513680*Sqrt[42]*lu1^9*f42n[t]*g44[t] - 1902177208797043680*Sqrt[42]*lu1^10*f42n[t]*g44[t] - 5423215942004708160*Sqrt[42]*lu1^11*f42n[t]*g44[t] - 3774780877823510400*Sqrt[42]*lu1^12*f42n[t]*g44[t] - 556618065685920000*Sqrt[42]*lu1^13*f42n[t]*g44[t] + 143*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]* (2*Sqrt[5]*(-8005797 + 115797510*lu1 + 133806729*lu1^2 + 29058215568*lu1^3 - 151222289675*lu1^4 - 3832652935434*lu1^5 - 4776899553465*lu1^6 - 399540857052*lu1^7 + 19856768528976*lu1^ 8 + 21318950679120*lu1^9 + 4427149178000*lu1^10)*f40[t] - 10*Sqrt[14]*(-3677643 + 64137492*lu1 + 248959263*lu1^2 + 6437299596*lu1^3 - 104042592749*lu1^4 - 1100819603676*lu1^5 - 421785553911*lu1^6 + 1142004897276*lu1^7 + 5477189592912*lu1^ 8 + 4630342918032*lu1^9 + 1197959202800*lu1^10)*f44[t] + 3*(-3 + 13*lu1 + 38*lu1^2)*(385*(792 - 13197*lu1 - 128661*lu1^2 + 1592293*lu1^3 + 8965369*lu1^4 + 2703556*lu1^5 - 97100648*lu1^6 + 62136256*lu1^7 + 101593360*lu1^8)*g20[t] + 21*Sqrt[5]*(-19494 + 18861*lu1 + 1300590*lu1^2 + 31941522* lu1^3 + 54675002*lu1^4 - 645004339*lu1^5 - 603751602*lu1^6 + 127532060*lu1^7 + 122971400*lu1^8)*g40[t] + 5*Sqrt[14]*( 101898 - 448515*lu1 + 8030202*lu1^2 - 127860698*lu1^3 - 433801322*lu1^4 + 1848487561*lu1^5 + 3026354278*lu1^6 + 1367985772*lu1^7 + 45985000*lu1^8)*g44[t])) - 5901422670*Sqrt[14]*f22[t]*g44n[t] + 100727100045*Sqrt[14]*lu1* f22[t]*g44n[t] + 3687707393370*Sqrt[14]*lu1^2*f22[t]*g44n[t] - 21016027651905*Sqrt[14]*lu1^3*f22[t]*g44n[t] + 263940329032380*Sqrt[14]*lu1^4*f22[t]*g44n[t] - 6901979278959765*Sqrt[14]*lu1^5*f22[t]*g44n[t] - 5941461397970670*Sqrt[14]*lu1^6*f22[t]*g44n[t] + 245863156722562665*Sqrt[14]*lu1^7*f22[t]*g44n[t] + 326744043659451990*Sqrt[14]*lu1^8*f22[t]*g44n[t] - 1584145018742354640*Sqrt[14]*lu1^9*f22[t]*g44n[t] - 4103828941397842800*Sqrt[14]*lu1^10*f22[t]*g44n[t] - 3424020399625803120*Sqrt[14]*lu1^11*f22[t]*g44n[t] - 1068560223254752800*Sqrt[14]*lu1^12*f22[t]*g44n[t] - 34633713114000000*Sqrt[14]*lu1^13*f22[t]*g44n[t] + 9291699135*Sqrt[42]*f42[t]*g44n[t] - 25645676895*Sqrt[42]*lu1* f42[t]*g44n[t] - 7477547810670*Sqrt[42]*lu1^2*f42[t]*g44n[t] - 76460412846150*Sqrt[42]*lu1^3*f42[t]*g44n[t] + 301573137779235*Sqrt[42]*lu1^4*f42[t]*g44n[t] + 14617659072075885*Sqrt[42]*lu1^5*f42[t]*g44n[t] + 24313115028229740*Sqrt[42]*lu1^6*f42[t]*g44n[t] - 358749009652582440*Sqrt[42]*lu1^7*f42[t]*g44n[t] - 1483871399880973200*Sqrt[42]*lu1^8*f42[t]*g44n[t] - 1526182783204513680*Sqrt[42]*lu1^9*f42[t]*g44n[t] + 1902177208797043680*Sqrt[42]*lu1^10*f42[t]*g44n[t] + 5423215942004708160*Sqrt[42]*lu1^11*f42[t]*g44n[t] + 3774780877823510400*Sqrt[42]*lu1^12*f42[t]*g44n[t] + 556618065685920000*Sqrt[42]*lu1^13*f42[t]*g44n[t]) - 2*f22[t]*(2614993308*Sqrt[70]*f40[t]*f44n[t] + 151258532220*Sqrt[70]* lu1*f40[t]*f44n[t] - 7857863342028*Sqrt[70]*lu1^2*f40[t]*f44n[t] + 21716390105388*Sqrt[70]*lu1^3*f40[t]*f44n[t] + 1450394060630604*Sqrt[70]*lu1^4*f40[t]*f44n[t] - 84550293914400156*Sqrt[70]*lu1^5*f40[t]*f44n[t] + 283656810332829180*Sqrt[70]*lu1^6*f40[t]*f44n[t] + 4973587774579869444*Sqrt[70]*lu1^7*f40[t]*f44n[t] + 7979218254992568456*Sqrt[70]*lu1^8*f40[t]*f44n[t] - 7802873362441097232*Sqrt[70]*lu1^9*f40[t]*f44n[t] - 19647301729852043424*Sqrt[70]*lu1^10*f40[t]*f44n[t] - 25248541519869146880*Sqrt[70]*lu1^11*f40[t]*f44n[t] - 26990797499555500800*Sqrt[70]*lu1^12*f40[t]*f44n[t] - 4291215363926400000*Sqrt[70]*lu1^13*f40[t]*f44n[t] - 24910863120*Sqrt[14]*f44n[t]*g20[t] + 471653621010*Sqrt[14]*lu1* f44n[t]*g20[t] + 24231472930665*Sqrt[14]*lu1^2*f44n[t]*g20[t] - 261345550938615*Sqrt[14]*lu1^3*f44n[t]*g20[t] - 6181076340071490*Sqrt[14]*lu1^4*f44n[t]*g20[t] + 13252270760474460*Sqrt[14]*lu1^5*f44n[t]*g20[t] + 571708938025641845*Sqrt[14]*lu1^6*f44n[t]*g20[t] + 2896077792574585905*Sqrt[14]*lu1^7*f44n[t]*g20[t] + 3398706474217703220*Sqrt[14]*lu1^8*f44n[t]*g20[t] - 4183610944758153480*Sqrt[14]*lu1^9*f44n[t]*g20[t] - 13534311888528116400*Sqrt[14]*lu1^10*f44n[t]*g20[t] - 13497703680297922800*Sqrt[14]*lu1^11*f44n[t]*g20[t] - 7347317304075320000*Sqrt[14]*lu1^12*f44n[t]*g20[t] - 2536018640675520000*Sqrt[14]*lu1^13*f44n[t]*g20[t] - 45949297680*Sqrt[3]*f42n[t]*g22[t] + 908238087900*Sqrt[3]*lu1* f42n[t]*g22[t] + 46010813448600*Sqrt[3]*lu1^2*f42n[t]*g22[t] - 549662432653620*Sqrt[3]*lu1^3*f42n[t]*g22[t] - 12839970067730520* Sqrt[3]*lu1^4*f42n[t]*g22[t] + 45173283648884820*Sqrt[3]*lu1^5* f42n[t]*g22[t] + 1327616193644283400*Sqrt[3]*lu1^6*f42n[t]* g22[t] + 4919083180010528100*Sqrt[3]*lu1^7*f42n[t]*g22[t] + 1636264235575586760*Sqrt[3]*lu1^8*f42n[t]*g22[t] - 12173204669419691040*Sqrt[3]*lu1^9*f42n[t]*g22[t] - 15777731957205229440*Sqrt[3]*lu1^10*f42n[t]*g22[t] - 7030641979922932800*Sqrt[3]*lu1^11*f42n[t]*g22[t] - 4219472659154896000*Sqrt[3]*lu1^12*f42n[t]*g22[t] - 3461724544998720000*Sqrt[3]*lu1^13*f42n[t]*g22[t] + 5877005058*Sqrt[70]*f44n[t]*g40[t] - 17344896930*Sqrt[70]*lu1* f44n[t]*g40[t] - 4964056019118*Sqrt[70]*lu1^2*f44n[t]*g40[t] - 38715430128912*Sqrt[70]*lu1^3*f44n[t]*g40[t] + 156926631957984*Sqrt[70]*lu1^4*f44n[t]*g40[t] + 6668918077373874*Sqrt[70]*lu1^5*f44n[t]*g40[t] - 5377400704217790*Sqrt[70]*lu1^6*f44n[t]*g40[t] - 155375487065422836*Sqrt[70]*lu1^7*f44n[t]*g40[t] - 219916711723358094*Sqrt[70]*lu1^8*f44n[t]*g40[t] + 725220127846687428*Sqrt[70]*lu1^9*f44n[t]*g40[t] + 2266216480146311736*Sqrt[70]*lu1^10*f44n[t]*g40[t] + 2108847019693864080*Sqrt[70]*lu1^11*f44n[t]*g40[t] + 698297195657433600*Sqrt[70]*lu1^12*f44n[t]*g40[t] + 108506025665520000*Sqrt[70]*lu1^13*f44n[t]*g40[t] + 93430100430*f42n[t]*g42[t] + 818602831962*lu1*f42n[t]*g42[t] - 100363707961272*lu1^2*f42n[t]*g42[t] - 1338445354645836*lu1^3* f42n[t]*g42[t] + 6890985508132866*lu1^4*f42n[t]*g42[t] + 150490780566590562*lu1^5*f42n[t]*g42[t] - 456693072167075148*lu1^6* f42n[t]*g42[t] - 1005734855443824384*lu1^7*f42n[t]*g42[t] - 785907233869389612*lu1^8*f42n[t]*g42[t] - 22565336741750822928* lu1^9*f42n[t]*g42[t] - 38701123725221761536*lu1^10*f42n[t]* g42[t] + 39801923508049705536*lu1^11*f42n[t]*g42[t] + 101092247544170481600*lu1^12*f42n[t]*g42[t] + 41339465456132390400* lu1^13*f42n[t]*g42[t] + 1430*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]*(2*Sqrt[3]*(-721359 + 8610003*lu1 - 19192089*lu1^2 + 3770152662*lu1^3 - 7863282821*lu1^4 - 455305555293*lu1^5 - 725852333259*lu1^6 - 256924292388*lu1^7 + 2396596489344*lu1^8 + 2781434626848*lu1^9 + 538198329200*lu1^ 10)*f42[t] + 11*(-103788 + 1151271*lu1 + 32625096*lu1^2 - 138397044*lu1^3 - 3173152436*lu1^4 - 11284809861*lu1^5 - 55730762148*lu1^6 - 160293962958*lu1^7 - 122009132508*lu1^8 + 370889008968*lu1^9 + 265871762480*lu1^10)*g22[t] + Sqrt[3]*(461214 - 1919943*lu1 - 59196753*lu1^2 - 585636294*lu1^ 3 + 3128871884*lu1^4 + 32503648533*lu1^5 - 47976178401*lu1^ 6 - 291045497016*lu1^7 - 161038700808*lu1^8 + 93961520208*lu1^9 + 49939303600*lu1^10)*g42[t]) - 6*f42[t]*(30*(-217916109 - 12604877685*lu1 + 654821945169*lu1^2 - 1809699175449*lu1^3 - 120866171719217*lu1^4 + 7045857826200013* lu1^5 - 23638067527735765*lu1^6 - 414465647881655787*lu1^7 - 664934854582714038*lu1^8 + 650239446870091436*lu1^9 + 1637275144154336952*lu1^10 + 2104045126655762240*lu1^11 + 2249233124962958400*lu1^12 + 357601280327200000*lu1^13)* f42n[t] + 7*(-3 + 13*lu1 + 38*lu1^2)*(715*Sqrt[3]*(-42984 + 203004*lu1 + 27553917*lu1^2 + 421353762*lu1^3 + 7478660890* lu1^4 - 169478566668*lu1^5 - 2684280787507*lu1^6 - 4087498535506*lu1^7 + 5575424372604*lu1^8 + 14631641934920* lu1^9 + 8696799241600*lu1^10 + 1411143888000*lu1^11)*g22n[ t] + (657778185 - 7776213102*lu1 - 410745801450*lu1^2 - 473774547016*lu1^3 - 24582680564907*lu1^4 + 280940269755150* lu1^5 + 3250241905914776*lu1^6 - 11369182582223600*lu1^7 - 54220489887979812*lu1^8 - 27203669070749184*lu1^9 + 42051690125129200*lu1^10 + 23862333763262400*lu1^11)*g42n[ t])) + 5282353440*f44n[t]*g44[t] + 2067873784704*lu1*f44n[t]* g44[t] - 68247971683164*lu1^2*f44n[t]*g44[t] - 1175901662695032*lu1^3*f44n[t]*g44[t] + 24693123345509892*lu1^4* f44n[t]*g44[t] + 107662053682116024*lu1^5*f44n[t]*g44[t] - 1768253650135706916*lu1^6*f44n[t]*g44[t] + 1681283486327527992* lu1^7*f44n[t]*g44[t] + 17899360328743467756*lu1^8*f44n[t]*g44[t] - 35880641864194499736*lu1^9*f44n[t]*g44[t] - 140785611855068408592* lu1^10*f44n[t]*g44[t] - 25481500888081781088*lu1^11*f44n[t]* g44[t] + 153412136327523964800*lu1^12*f44n[t]*g44[t] + 81533889500287660800*lu1^13*f44n[t]*g44[t] + 5877005058*Sqrt[70]* f40[t]*g44n[t] - 17344896930*Sqrt[70]*lu1*f40[t]*g44n[t] - 4964056019118*Sqrt[70]*lu1^2*f40[t]*g44n[t] - 38715430128912* Sqrt[70]*lu1^3*f40[t]*g44n[t] + 156926631957984*Sqrt[70]*lu1^4* f40[t]*g44n[t] + 6668918077373874*Sqrt[70]*lu1^5*f40[t]*g44n[t] - 5377400704217790*Sqrt[70]*lu1^6*f40[t]*g44n[t] - 155375487065422836*Sqrt[70]*lu1^7*f40[t]*g44n[t] - 219916711723358094*Sqrt[70]*lu1^8*f40[t]*g44n[t] + 725220127846687428*Sqrt[70]*lu1^9*f40[t]*g44n[t] + 2266216480146311736*Sqrt[70]*lu1^10*f40[t]*g44n[t] + 2108847019693864080*Sqrt[70]*lu1^11*f40[t]*g44n[t] + 698297195657433600*Sqrt[70]*lu1^12*f40[t]*g44n[t] + 108506025665520000*Sqrt[70]*lu1^13*f40[t]*g44n[t] - 5282353440*f44[t]*g44n[t] - 2067873784704*lu1*f44[t]*g44n[t] + 68247971683164*lu1^2*f44[t]*g44n[t] + 1175901662695032*lu1^3*f44[t]* g44n[t] - 24693123345509892*lu1^4*f44[t]*g44n[t] - 107662053682116024*lu1^5*f44[t]*g44n[t] + 1768253650135706916*lu1^6* f44[t]*g44n[t] - 1681283486327527992*lu1^7*f44[t]*g44n[t] - 17899360328743467756*lu1^8*f44[t]*g44n[t] + 35880641864194499736* lu1^9*f44[t]*g44n[t] + 140785611855068408592*lu1^10*f44[t]* g44n[t] + 25481500888081781088*lu1^11*f44[t]*g44n[t] - 153412136327523964800*lu1^12*f44[t]*g44n[t] - 81533889500287660800* lu1^13*f44[t]*g44n[t])))/(462462*(-3 + 13*lu1 + 38*lu1^2)^3* (-1 + 7*lu1 + 170*lu1^2)^2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*Pi) + ((-1 + 17*lu1)*Sqrt[3*Pi]*(-1573*Sqrt[10]*(8397 - 93906*lu1 - 874323*lu1^2 + 8431276*lu1^3 - 6862852*lu1^4 - 7230352*lu1^5 + 887680*lu1^6)*f20[t]^2 - 22022*Sqrt[10]*(5643 + 22770*lu1 - 340269*lu1^2 - 31012*lu1^3 - 349716*lu1^4 - 4150232*lu1^5 - 731424*lu1^6 + 1212960*lu1^7)*f22[t]^2 + 116285598*Sqrt[10]* f22n[t]^2 + 818670996*Sqrt[10]*lu1*f22n[t]^2 - 6957117882*Sqrt[10]*lu1^2*f22n[t]^2 - 29076263216*Sqrt[10]*lu1^3* f22n[t]^2 + 63875415032*Sqrt[10]*lu1^4*f22n[t]^2 + 29527701632*Sqrt[10]*lu1^5*f22n[t]^2 - 15847282880*Sqrt[10]*lu1^6* f22n[t]^2 - 13477464*Sqrt[10*Pi]*f40[t] - 79807728*lu1*Sqrt[10*Pi]* f40[t] + 704880176*lu1^2*Sqrt[10*Pi]*f40[t] + 1704590888*lu1^3*Sqrt[10*Pi]*f40[t] + 2008230224*lu1^4*Sqrt[10*Pi]* f40[t] + 5122141024*lu1^5*Sqrt[10*Pi]*f40[t] + 2878715840*lu1^6*Sqrt[10*Pi]*f40[t] + 4989879*Sqrt[10]*f40[t]^2 + 1535495558*Sqrt[10]*lu1*f40[t]^2 + 1297230939*Sqrt[10]*lu1^2* f40[t]^2 - 17072294568*Sqrt[10]*lu1^3*f40[t]^2 + 2511343736*Sqrt[10]*lu1^4*f40[t]^2 + 45111086936*Sqrt[10]*lu1^5* f40[t]^2 - 15756747040*Sqrt[10]*lu1^6*f40[t]^2 + 80080*Sqrt[30]*(684 - 684*lu1 - 961*lu1^2 - 112948*lu1^3 - 189379*lu1^4 + 103156*lu1^5 + 9956*lu1^6)*f22[t]*f42[t] - 676462962*Sqrt[10]*f42[t]^2 - 1996662164*Sqrt[10]*lu1*f42[t]^2 + 43556550478*Sqrt[10]*lu1^2*f42[t]^2 - 15141676536*Sqrt[10]*lu1^3* f42[t]^2 - 86837524928*Sqrt[10]*lu1^4*f42[t]^2 + 209233568432*Sqrt[10]*lu1^5*f42[t]^2 - 72820543040*Sqrt[10]*lu1^6* f42[t]^2 - 431402400*Sqrt[30]*f22n[t]*f42n[t] - 4506559200*Sqrt[30]*lu1*f22n[t]*f42n[t] + 5721801800*Sqrt[30]*lu1^2* f22n[t]*f42n[t] - 17954536600*Sqrt[30]*lu1^3*f22n[t]*f42n[t] + 12921537200*Sqrt[30]*lu1^4*f22n[t]*f42n[t] + 9902120800*Sqrt[30]* lu1^5*f22n[t]*f42n[t] - 6147169600*Sqrt[30]*lu1^6*f22n[t]*f42n[t] + 2101909038*Sqrt[10]*f42n[t]^2 + 26622027436*Sqrt[10]*lu1*f42n[t]^2 + 20210650678*Sqrt[10]*lu1^2*f42n[t]^2 - 77608053936*Sqrt[10]*lu1^3* f42n[t]^2 + 66728423872*Sqrt[10]*lu1^4*f42n[t]^2 + 47192104832*Sqrt[10]*lu1^5*f42n[t]^2 - 21861628640*Sqrt[10]*lu1^6* f42n[t]^2 + 134774640*Sqrt[7*Pi]*f44[t] + 798077280*lu1*Sqrt[7*Pi]* f44[t] - 7048801760*lu1^2*Sqrt[7*Pi]*f44[t] - 17045908880*lu1^3*Sqrt[7*Pi]*f44[t] - 20082302240*lu1^4*Sqrt[7*Pi]* f44[t] - 51221410240*lu1^5*Sqrt[7*Pi]*f44[t] - 28787158400*lu1^6*Sqrt[7*Pi]*f44[t] - 1852248000*Sqrt[7]*f40[t]* f44[t] - 19079126400*Sqrt[7]*lu1*f40[t]*f44[t] + 15563933200*Sqrt[7]*lu1^2*f40[t]*f44[t] + 41644251600*Sqrt[7]*lu1^3* f40[t]*f44[t] - 102377299200*Sqrt[7]*lu1^4*f40[t]*f44[t] + 108027642400*Sqrt[7]*lu1^5*f40[t]*f44[t] - 33972609600*Sqrt[7]*lu1^6* f40[t]*f44[t] + 4302751278*Sqrt[10]*f44[t]^2 + 55301058316*Sqrt[10]*lu1*f44[t]^2 + 107299870118*Sqrt[10]*lu1^2* f44[t]^2 - 116381094816*Sqrt[10]*lu1^3*f44[t]^2 + 26615574832*Sqrt[10]*lu1^4*f44[t]^2 + 155762710992*Sqrt[10]*lu1^5* f44[t]^2 - 67645773440*Sqrt[10]*lu1^6*f44[t]^2 + 1430*f20[t]*(3*lu1^2*(831831*Sqrt[2*Pi] + 622030*Sqrt[2]*f40[t] - 1351692*Sqrt[35]*f44[t]) - 154*lu1^3*(34249*Sqrt[2*Pi] + 143445*Sqrt[2]*f40[t] - 40458*Sqrt[35]*f44[t]) - 27*(1001*Sqrt[2*Pi] + 2040*Sqrt[2]*f40[t] - 12592*Sqrt[35]* f44[t]) + 36*lu1*(231*Sqrt[2*Pi] - 46430*Sqrt[2]*f40[t] + 86476*Sqrt[35]*f44[t]) - 8*lu1^5*(814891*Sqrt[2*Pi] - 2238015*Sqrt[2]*f40[t] + 143478*Sqrt[35]*f44[t]) + 32*lu1^6*(138985*Sqrt[2*Pi] - 23610*Sqrt[2]*f40[t] + 151758*Sqrt[35]*f44[t]) - 4*lu1^4*(6100787*Sqrt[2*Pi] + 5498760*Sqrt[2]*f40[t] + 4910316*Sqrt[35]*f44[t])) + 4302751278*Sqrt[10]*f44n[t]^2 + 55301058316*Sqrt[10]*lu1*f44n[t]^2 + 107299870118*Sqrt[10]*lu1^2*f44n[t]^2 - 116381094816*Sqrt[10]*lu1^3* f44n[t]^2 + 26615574832*Sqrt[10]*lu1^4*f44n[t]^2 + 155762710992*Sqrt[10]*lu1^5*f44n[t]^2 - 67645773440*Sqrt[10]*lu1^6* f44n[t]^2) + 924924*(1 + 2*lu1)^2*(9 - 114*lu1 - 1211*lu1^2 + 8936*lu1^3 + 6460*lu1^4)*Pi*(-((-3 + 19*lu1)*Sqrt[(10*Pi)/3]) + (-3 + 13*lu1 + 38*lu1^2)*sc*f22[t] - 40*cap*lu1*f22n[t] - 12*mar*f22n[t] + 36*lu1*mar*f22n[t] + 6*mar*g22n[t] + 2*lu1*mar*g22n[t]) + 88088*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (15*cap*(80 + 135*lu1 - 20850*lu1^2 + 10203*lu1^3 + 68132*lu1^4 + 81052*lu1^5)*f22n[t]*f40[t] + mar*(6*(-152 + 797*lu1 + 27965*lu1^2 + 43337*lu1^3 - 41693*lu1^4 + 44370*lu1^5)*f40[t]*g22n[t] - f22n[t]* ((-786 + 12681*lu1 - 13420*lu1^2 + 819121*lu1^3 + 1018696*lu1^4 + 1845500*lu1^5)*f40[t] + (162 - 1437*lu1 + 5480*lu1^2 - 10277* lu1^3 - 51812*lu1^4 + 9500*lu1^5)*g40[t]))) - 8008*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (3*cap*(30*Sqrt[3]*(2268 + 17985*lu1 - 218932*lu1^2 - 128347*lu1^3 + 1220626*lu1^4 + 988000*lu1^5)*f40[t]*f42n[t] + 11*Sqrt[5]*f20[t]*(24*(6 + 54*lu1 - 1905*lu1^2 - 14966*lu1^3 + 37169*lu1^4 + 23290*lu1^5)*f22n[t] - 5*Sqrt[3]* (80 + 135*lu1 - 20850*lu1^2 + 10203*lu1^3 + 68132*lu1^4 + 81052* lu1^5)*f42n[t]) + Sqrt[70]*(55*(80 + 135*lu1 - 20850*lu1^2 + 10203*lu1^3 + 68132*lu1^4 + 81052*lu1^5)*f22n[t]*f44[t] - 2*Sqrt[3]*(2268 + 17985*lu1 - 218932*lu1^2 - 128347*lu1^3 + 1220626*lu1^4 + 988000*lu1^5)*f42n[t]*f44[t] - (55*(80 + 135*lu1 - 20850*lu1^2 + 10203*lu1^3 + 68132*lu1^4 + 81052*lu1^5)*f22[t] - 2*Sqrt[3]*(2268 + 17985*lu1 - 218932*lu1^2 - 128347*lu1^3 + 1220626*lu1^4 + 988000*lu1^5)* f42[t])*f44n[t])) - mar*(-8646*Sqrt[70]*f22n[t]*f44[t] + 139491*Sqrt[70]*lu1*f22n[t]*f44[t] - 147620*Sqrt[70]*lu1^2*f22n[t]* f44[t] + 9010331*Sqrt[70]*lu1^3*f22n[t]*f44[t] + 11205656*Sqrt[70]*lu1^4*f22n[t]*f44[t] + 20300500*Sqrt[70]*lu1^5* f22n[t]*f44[t] - 5517*Sqrt[210]*f42n[t]*f44[t] - 51519*Sqrt[210]*lu1*f42n[t]*f44[t] + 1141109*Sqrt[210]*lu1^2* f42n[t]*f44[t] - 1857725*Sqrt[210]*lu1^3*f42n[t]*f44[t] - 11216456*Sqrt[210]*lu1^4*f42n[t]*f44[t] - 5225380*Sqrt[210]*lu1^5* f42n[t]*f44[t] + 8646*Sqrt[70]*f22[t]*f44n[t] - 139491*Sqrt[70]*lu1*f22[t]*f44n[t] + 147620*Sqrt[70]*lu1^2*f22[t]* f44n[t] - 9010331*Sqrt[70]*lu1^3*f22[t]*f44n[t] - 11205656*Sqrt[70]*lu1^4*f22[t]*f44n[t] - 20300500*Sqrt[70]*lu1^5* f22[t]*f44n[t] + 5517*Sqrt[210]*f42[t]*f44n[t] + 51519*Sqrt[210]*lu1*f42[t]*f44n[t] - 1141109*Sqrt[210]*lu1^2* f42[t]*f44n[t] + 1857725*Sqrt[210]*lu1^3*f42[t]*f44n[t] + 11216456*Sqrt[210]*lu1^4*f42[t]*f44n[t] + 5225380*Sqrt[210]*lu1^5* f42[t]*f44n[t] + 5049*Sqrt[5]*f22n[t]*g20[t] - 31284*Sqrt[5]*lu1*f22n[t]*g20[t] - 870870*Sqrt[5]*lu1^2*f22n[t]* g20[t] - 807114*Sqrt[5]*lu1^3*f22n[t]*g20[t] - 2656599*Sqrt[5]*lu1^4*f22n[t]*g20[t] + 1015410*Sqrt[5]*lu1^5* f22n[t]*g20[t] - 10032*Sqrt[15]*f42n[t]*g20[t] + 52602*Sqrt[15]*lu1*f42n[t]*g20[t] + 1845690*Sqrt[15]*lu1^2*f42n[t]* g20[t] + 2860242*Sqrt[15]*lu1^3*f42n[t]*g20[t] - 2751738*Sqrt[15]*lu1^4*f42n[t]*g20[t] + 2928420*Sqrt[15]*lu1^5* f42n[t]*g20[t] - 10032*Sqrt[70]*f44n[t]*g22[t] + 52602*Sqrt[70]*lu1*f44n[t]*g22[t] + 1845690*Sqrt[70]*lu1^2*f44n[t]* g22[t] + 2860242*Sqrt[70]*lu1^3*f44n[t]*g22[t] - 2751738*Sqrt[70]*lu1^4*f44n[t]*g22[t] + 2928420*Sqrt[70]*lu1^5* f44n[t]*g22[t] + 10032*Sqrt[70]*f44[t]*g22n[t] - 52602*Sqrt[70]*lu1*f44[t]*g22n[t] - 1845690*Sqrt[70]*lu1^2*f44[t]* g22n[t] - 2860242*Sqrt[70]*lu1^3*f44[t]*g22n[t] + 2751738*Sqrt[70]*lu1^4*f44[t]*g22n[t] - 2928420*Sqrt[70]*lu1^5* f44[t]*g22n[t] + 32265*Sqrt[3]*f42n[t]*g40[t] + 190305*Sqrt[3]*lu1*f42n[t]*g40[t] - 947130*Sqrt[3]*lu1^2*f42n[t]* g40[t] - 8364225*Sqrt[3]*lu1^3*f42n[t]*g40[t] - 9925905*Sqrt[3]*lu1^4*f42n[t]*g40[t] + 4015650*Sqrt[3]*lu1^5* f42n[t]*g40[t] + 2151*Sqrt[210]*f44n[t]*g42[t] + 12687*Sqrt[210]*lu1*f44n[t]*g42[t] - 63142*Sqrt[210]*lu1^2*f44n[t]* g42[t] - 557615*Sqrt[210]*lu1^3*f44n[t]*g42[t] - 661727*Sqrt[210]*lu1^4*f44n[t]*g42[t] + 267710*Sqrt[210]*lu1^5* f44n[t]*g42[t] - 2151*Sqrt[210]*f44[t]*g42n[t] - 12687*Sqrt[210]*lu1*f44[t]*g42n[t] + 63142*Sqrt[210]*lu1^2*f44[t]* g42n[t] + 557615*Sqrt[210]*lu1^3*f44[t]*g42n[t] + 661727*Sqrt[210]*lu1^4*f44[t]*g42n[t] - 267710*Sqrt[210]*lu1^5* f44[t]*g42n[t] + 11*Sqrt[5]*f20[t]*(9*(-141 + 1531*lu1 + 17605* lu1^2 - 75499*lu1^3 + 441116*lu1^4 + 156060*lu1^5)*f22n[t] - Sqrt[3]*(-786 + 12681*lu1 - 13420*lu1^2 + 819121*lu1^3 + 1018696* lu1^4 + 1845500*lu1^5)*f42n[t] + 459*g22n[t] - 2844*lu1*g22n[t] - 79170*lu1^2*g22n[t] - 73374*lu1^3*g22n[t] - 241509*lu1^4*g22n[t] + 92310*lu1^5*g22n[t] - 162*Sqrt[3]* g42n[t] + 1437*Sqrt[3]*lu1*g42n[t] - 5480*Sqrt[3]*lu1^2* g42n[t] + 10277*Sqrt[3]*lu1^3*g42n[t] + 51812*Sqrt[3]*lu1^4* g42n[t] - 9500*Sqrt[3]*lu1^5*g42n[t]) + 15*Sqrt[3]* (-3 + 13*lu1 + 38*lu1^2)*f40[t]*((-1839 - 25142*lu1 + 248127* lu1^2 + 137510*lu1^3)*f42n[t] + (-717 - 7336*lu1 - 19824* lu1^2 + 7045*lu1^3)*g42n[t]) + 1782*Sqrt[70]*f22n[t]*g44[t] - 15807*Sqrt[70]*lu1*f22n[t]*g44[t] + 60280*Sqrt[70]*lu1^2*f22n[t]* g44[t] - 113047*Sqrt[70]*lu1^3*f22n[t]*g44[t] - 569932*Sqrt[70]*lu1^4*f22n[t]*g44[t] + 104500*Sqrt[70]*lu1^5* f22n[t]*g44[t] - 2151*Sqrt[210]*f42n[t]*g44[t] - 12687*Sqrt[210]*lu1*f42n[t]*g44[t] + 63142*Sqrt[210]*lu1^2*f42n[t]* g44[t] + 557615*Sqrt[210]*lu1^3*f42n[t]*g44[t] + 661727*Sqrt[210]*lu1^4*f42n[t]*g44[t] - 267710*Sqrt[210]*lu1^5* f42n[t]*g44[t] - 1782*Sqrt[70]*f22[t]*g44n[t] + 15807*Sqrt[70]*lu1*f22[t]*g44n[t] - 60280*Sqrt[70]*lu1^2*f22[t]* g44n[t] + 113047*Sqrt[70]*lu1^3*f22[t]*g44n[t] + 569932*Sqrt[70]*lu1^4*f22[t]*g44n[t] - 104500*Sqrt[70]*lu1^5* f22[t]*g44n[t] + 2151*Sqrt[210]*f42[t]*g44n[t] + 12687*Sqrt[210]*lu1*f42[t]*g44n[t] - 63142*Sqrt[210]*lu1^2*f42[t]* g44n[t] - 557615*Sqrt[210]*lu1^3*f42[t]*g44n[t] - 661727*Sqrt[210]*lu1^4*f42[t]*g44n[t] + 267710*Sqrt[210]*lu1^5* f42[t]*g44n[t])))/(924924*(3 - 19*lu1)^2*(1 + 2*lu1)^3* (-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) eqF40f = (-2*cap*(189618*Sqrt[5]*(1227636 + 13667535*lu1 - 5871521034*lu1^2 - 53361000963*lu1^3 + 7709894375364*lu1^4 + 33350693148453*lu1^5 - 3000603473748394*lu1^6 + 198454506352707*lu1^7 + 296404293338100044*lu1^8 - 328534410110110372*lu1^9 - 5888734405123051888*lu1^10 + 12591345296796528272*lu1^11 + 7275189425230616640*lu1^12 - 34629286069089265600*lu1^13 - 5838533048293344000*lu1^14 + 10437503702250240000*lu1^15)* f20[t]^3 + 6630*(2647067040 - 24896412639*lu1 - 9992095565526*lu1^2 + 38309704618653*lu1^3 + 9552714923211132* lu1^4 - 35379366099844743*lu1^5 - 1917061570928704962*lu1^6 + 13171980212770134803*lu1^7 + 61153235128436549192*lu1^8 - 410706330934602295418*lu1^9 + 2148919167660944711028*lu1^10 + 9124877927609923369904*lu1^11 + 7542066752887889644576*lu1^12 + 3418142205071550408160*lu1^13 + 6912636446082417422400*lu1^14 + 3843549231921179424000*lu1^15)*f20[t]^2*f40[t] - 442*Sqrt[5]*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* ((f22[t] - I*f22n[t])*(1144*(-409212 - 9602793*lu1 + 904917447*lu1^2 + 7034075208*lu1^3 - 418189583502*lu1^4 - 222809621353*lu1^5 + 43144543034547*lu1^6 - 42487027285702*lu1^ 7 - 869590577720752*lu1^8 + 1831123312175552*lu1^9 + 1089624199093040*lu1^10 - 5053002092085600*lu1^11 - 861078548944000*lu1^12 + 1524613453440000*lu1^13)* (f22[t] + I*f22n[t]) - 15*Sqrt[3]*(-57975318 + 5448243438*lu1 + 31335942897*lu1^2 - 5080818629927*lu1^3 - 15244653033026*lu1^ 4 + 161630682965508*lu1^5 + 6318371354170653*lu1^6 + 18605224549349345*lu1^7 - 1943147717008542*lu1^8 - 89688694559748444*lu1^9 - 245645855154746792*lu1^10 - 106997398442899968*lu1^11 + 222155773768415680*lu1^12 + 118965775145616000*lu1^13)*(f42[t] + I*f42n[t])) - 3*(5*Sqrt[3]*(-57975318 + 5448243438*lu1 + 31335942897*lu1^2 - 5080818629927*lu1^3 - 15244653033026*lu1^4 + 161630682965508* lu1^5 + 6318371354170653*lu1^6 + 18605224549349345*lu1^7 - 1943147717008542*lu1^8 - 89688694559748444*lu1^9 - 245645855154746792*lu1^10 - 106997398442899968*lu1^11 + 222155773768415680*lu1^12 + 118965775145616000*lu1^13)* (f22[t] + I*f22n[t])*(f42[t] - I*f42n[t]) + 3*(5*(-786840588 + 812991537*lu1 + 893925719589*lu1^2 - 1633553616044*lu1^3 - 147152946085690*lu1^4 + 708660545347753* lu1^5 + 4650773181678345*lu1^6 + 5271189542820066*lu1^7 + 142710176618938136*lu1^8 + 385269536488332672*lu1^9 + 147101101970316624*lu1^10 - 265592442451950560*lu1^11 - 145090518266796800*lu1^12 + 7368063550400000*lu1^13)*f40[t]^ 2 + 2*(-11*(-160468236 + 173601378*lu1 + 188684112981*lu1^2 - 522771872219*lu1^3 - 35648938789166*lu1^4 + 176602811287888* lu1^5 + 1987271514217737*lu1^6 + 4775963838206325*lu1^7 + 28356167324076076*lu1^8 + 38572669977766420*lu1^9 + 10136117228574656*lu1^10 + 123917642611571280*lu1^11 + 215794756041209600*lu1^12 + 74526999433320000*lu1^13)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 7*(198891612 - 223583841*lu1 - 225432426177*lu1^2 + 446380535928*lu1^3 + 36017778649202*lu1^4 - 56502152309841* lu1^5 - 102172387694389*lu1^6 + 5602719705108410*lu1^7 - 41038354326420952*lu1^8 - 158419118002996240*lu1^9 - 21624202241507472*lu1^10 + 268974173958647840*lu1^11 + 199887705565996800*lu1^12 + 32700939717600000*lu1^13)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]))))) - 3*(80*(-814134325860 + 15766030842723*lu1 + 2466274046432697*lu1^2 - 29867211014272038*lu1^3 - 1357381154683114299*lu1^4 + 12559476928957166586*lu1^5 - 25586210966192849475*lu1^6 - 1576384491332519193694*lu1^7 + 20143688580508800795079*lu1^8 + 30219643929474299896407*lu1^9 - 426516942514204659571358*lu1^10 - 1137173484914769871594432*lu1^11 + 57637180295501979778944* lu1^12 + 2645540861504431572203120*lu1^13 + 2672902548944340529012000*lu1^14 + 790263342847001691024000* lu1^15)*f40[t]^3 - 221*(-3 + 37*lu1 + 6846*lu1^2)* (f22[t] + I*f22n[t])*(10*(-461433240 - 25980975999*lu1 + 949640937483*lu1^2 + 15420566862042*lu1^3 - 119665964555354*lu1^ 4 + 1750477324920065*lu1^5 - 27424066119260985*lu1^6 - 182229279003545272*lu1^7 + 465260426143263784*lu1^8 + 1905971689684408284*lu1^9 + 1490590972060384552*lu1^10 + 736005716854775600*lu1^11 + 1105714412010564000*lu1^12 + 450294354996528000*lu1^13)*(f22[t] - I*f22n[t])*f40[t] + Sqrt[3]*(-5*(1503021420 - 1245671433*lu1 - 1643889003561*lu1^2 + 624611556792*lu1^3 + 233502743987702*lu1^4 - 2503006663808889* lu1^5 - 10606507161516629*lu1^6 - 54313838352753926*lu1^7 - 220011099423807988*lu1^8 - 428270574248277312*lu1^9 - 690089222312007776*lu1^10 - 6294354489510400*lu1^11 + 977024180704121600*lu1^12 + 365792021485520000*lu1^13)*f40[ t]*(f42[t] - I*f42n[t]) + Sqrt[70]*(4650383772 - 4497637581*lu1 - 5219591881917*lu1^2 + 7158826020968*lu1^3 + 822114528330462*lu1^4 - 5337648845199901*lu1^5 - 29209599888230009*lu1^6 - 75398596524034190*lu1^7 - 790851805899560532*lu1^8 - 1969348720201608000*lu1^9 - 1278493630193274272*lu1^10 + 1056075415318291840*lu1^11 + 1557386253771308800*lu1^12 + 336319767283920000*lu1^13)*( f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]))) + 5*f40[t]*(221*Sqrt[3]*(-4509064260 + 59348806839*lu1 + 15175261808982*lu1^2 - 71225594432451*lu1^3 - 11931461722740408* lu1^4 + 20424712236769673*lu1^5 + 1537768060263428886*lu1^6 - 17365082870353507589*lu1^7 - 73961726748523313432*lu1^8 - 378688136318889441016*lu1^9 - 1519971730235639723064*lu1^10 - 2957454769465782234464*lu1^11 - 4727514779606229484096*lu1^12 - 8038632213592259200*lu1^13 + 6702241845895380713600*lu1^14 + 2504212179089869920000*lu1^15)*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t]) + 16*(-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)*((81035011116 - 2756289825513*lu1 - 240509270650596*lu1^2 + 6116715687804120*lu1^3 + 160219771756649039*lu1^4 - 1849369123184916951*lu1^5 - 17557622856384961170*lu1^6 + 19660590655873430086*lu1^7 - 1101619501727523209721*lu1^8 - 3054628689983272042230*lu1^9 + 6096786218680101830900*lu1^10 + 7088775831907173327000* lu1^11)*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 14*(2615444964 + 67788012033*lu1 - 8507003060604*lu1^2 - 229298965676550*lu1^3 + 2360902216072801*lu1^4 + 49295487004452531*lu1^5 + 1809357927510344970*lu1^6 + 15520424804157694844*lu1^7 - 93603884534496607599*lu1^8 - 161560285995383690370*lu1^9 + 131119739402063001100*lu1^10 + 217105177974348993000*lu1^11)*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]))) + Sqrt[70]*(72*(-26651268972 + 2285379490653* lu1 + 68204156277591*lu1^2 - 5810790570860880*lu1^3 - 64796518041423327*lu1^4 + 1813996472906455362*lu1^5 + 23900293116548191311*lu1^6 + 29669700034260045696*lu1^7 - 971687489439744792745*lu1^8 - 2424348134308173695839*lu1^9 - 4855232724285959333618*lu1^10 - 3866991929894116910400*lu1^11 + 45466893966598987888928*lu1^12 + 118932521655662003524240*lu1^ 13 + 99693965149186784773600*lu1^14 + 27355293676465586160000* lu1^15)*(f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) + (1105*(-235742400 - 1080233469*lu1 + 950244679044*lu1^2 + 7919449616949*lu1^3 - 959385619007522*lu1^4 - 6191371148863211*lu1^5 + 203971312986747492*lu1^6 - 536995181853025653*lu1^7 - 2159251819717127650*lu1^8 + 37356398662498699560*lu1^9 - 98786728660189412100*lu1^10 - 797174960128652821664*lu1^11 - 1379806738210004474304* lu1^12 - 564768932452848294272*lu1^13 + 336826565964637264320*lu1^14 + 70732685837981664000*lu1^15)* (f22[t] - I*f22n[t])^2 - 221*Sqrt[3]*(-13951151316 + 185557112307*lu1 + 47328890358366*lu1^2 - 245392204573359* lu1^3 - 37934793045819352*lu1^4 + 95440507023373725*lu1^5 + 5518331853342636542*lu1^6 - 37396103400530930009*lu1^7 - 200386113488513225048*lu1^8 - 539532262461216980424*lu1^9 - 5483201884945271075256*lu1^10 - 13532633829063314391584* lu1^11 - 8718164760697692794432*lu1^12 + 7286506625356712602240*lu1^13 + 10674310124707885084800* lu1^14 + 2302445126825716320000*lu1^15)*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t]) + 72*(-26651268972 + 2285379490653*lu1 + 68204156277591*lu1^2 - 5810790570860880*lu1^3 - 64796518041423327*lu1^4 + 1813996472906455362*lu1^5 + 23900293116548191311*lu1^6 + 29669700034260045696*lu1^7 - 971687489439744792745*lu1^8 - 2424348134308173695839*lu1^9 - 4855232724285959333618*lu1^10 - 3866991929894116910400* lu1^11 + 45466893966598987888928*lu1^12 + 118932521655662003524240*lu1^13 + 99693965149186784773600* lu1^14 + 27355293676465586160000*lu1^15)*(f42[t] - I*f42n[t])^2)*(f44[t] + I*f44n[t])) + 1105*Sqrt[70]* (-235742400 - 1080233469*lu1 + 950244679044*lu1^2 + 7919449616949*lu1^3 - 959385619007522*lu1^4 - 6191371148863211* lu1^5 + 203971312986747492*lu1^6 - 536995181853025653*lu1^7 - 2159251819717127650*lu1^8 + 37356398662498699560*lu1^9 - 98786728660189412100*lu1^10 - 797174960128652821664*lu1^11 - 1379806738210004474304*lu1^12 - 564768932452848294272*lu1^13 + 336826565964637264320*lu1^14 + 70732685837981664000*lu1^15)* (f22[t] + I*f22n[t])^2*(f44[t] - I*f44n[t]))))/ (51102051*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) - ((-1 + 17*lu1)*Sqrt[3*Pi]*(f22n[t]*(-14*lu1^3*(18583422*Sqrt[10*Pi] + 839677410*Sqrt[2]*f20[t] + 1149326055*Sqrt[10]*f40[t] - 175920850*Sqrt[7]*f44[t]) - 2*lu1*(99099*Sqrt[10*Pi] - 53783730*Sqrt[2]*f20[t] + 161639310*Sqrt[10]*f40[t] - 124362500*Sqrt[7]*f44[t]) + 200*lu1^6*(21339318*Sqrt[10*Pi] - 116396280*Sqrt[2]*f20[t] + 1168797*Sqrt[10]*f40[t] - 101580998*Sqrt[7]*f44[t]) + 3*(99099*Sqrt[10*Pi] - 1081080*Sqrt[2]*f20[t] - 13769840*Sqrt[10]*f40[t] - 927200*Sqrt[7]*f44[t]) - 33*lu1^2*(2401399*Sqrt[10*Pi] + 13278720*Sqrt[2]*f20[t] - 205949590*Sqrt[10]*f40[t] + 59963700*Sqrt[7]*f44[t]) + 60*lu1^5*(141072932*Sqrt[10*Pi] + 258678420*Sqrt[2]*f20[t] + 267344455*Sqrt[10]*f40[t] + 499256990*Sqrt[7]*f44[t]) + 4*lu1^4*(738882144*Sqrt[10*Pi] + 17012415420*Sqrt[2]*f20[t] - 6656795565*Sqrt[10]*f40[t] + 5146574350*Sqrt[7]*f44[t])) - 5*(Sqrt[3]*f42n[t]*(-783783*Sqrt[10*Pi] + 15733200*Sqrt[2]*f20[t] + 13572216*Sqrt[10]*f40[t] + 66997776*Sqrt[7]*f44[t] - 8*lu1^5*(104111007*Sqrt[10*Pi] + 31833480*Sqrt[2]*f20[t] - 455420252*Sqrt[10]*f40[t] - 816909792*Sqrt[7]*f44[t]) - 4*lu1^4*(510188679*Sqrt[10*Pi] + 1436509270*Sqrt[2]*f20[t] - 26728065*Sqrt[10]*f40[t] - 423276530*Sqrt[7]*f44[t]) - 14*lu1^3*(41754999*Sqrt[10*Pi] + 138568630*Sqrt[2]*f20[t] - 79887611*Sqrt[10]*f40[t] - 353565086*Sqrt[7]*f44[t]) + 160*lu1^6*(969969*Sqrt[10*Pi] + 11274130*Sqrt[2]*f20[t] - 12767237*Sqrt[10]*f40[t] - 27896786*Sqrt[7]*f44[t]) + 4*lu1*(2117115*Sqrt[10*Pi] + 3344180*Sqrt[2]*f20[t] + 39763542* Sqrt[10]*f40[t] + 209179352*Sqrt[7]*f44[t]) + lu1^2*(124165041*Sqrt[10*Pi] + 29018220*Sqrt[2]*f20[t] + 789808306*Sqrt[10]*f40[t] + 2026190436*Sqrt[7]*f44[t])) - 4*Sqrt[7]*(-2 + lu1)*(5*(-13908 + 1236671*lu1 - 9275675*lu1^2 + 7676622*lu1^3 + 106769798*lu1^4 + 203161996*lu1^5)*f22[t] - Sqrt[3]*(8374722 + 108777037*lu1 + 307662323*lu1^2 + 772570062* lu1^3 + 597923296*lu1^4 + 1115871440*lu1^5)*f42[t])* f44n[t])) + 1540*cap*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (20*lu1^5*(204204*f20[t]^2 + 68068*f22[t]^2 + 68068*f22n[t]^2 + 17459442*Sqrt[Pi]*f40[t] - 5295030*Sqrt[5]*f20[t]*f40[t] - 9764955*f40[t]^2 + 15885090*Sqrt[3]*f22[t]*f42[t] + 11934945*f42[t]^2 + 15885090*Sqrt[3]*f22n[t]*f42n[t] + 11934945*f42n[t]^2 - 15189930*f44[t]^2 - 15189930*f44n[t]^2) - lu1*(73788*f20[t]^2 + 24596*f22[t]^2 + 24596*f22n[t]^2 - 162162*Sqrt[Pi]*f40[t] + 512577*Sqrt[5]*f20[t]*f40[t] + 1954449*f40[t]^2 - 1537731*Sqrt[3]*f22[t]*f42[t] - 2388771*f42[t]^2 - 1537731*Sqrt[3]*f22n[t]*f42n[t] - 2388771*f42n[t]^2 + 3040254*f44[t]^2 + 3040254*f44n[t]^2) + 9*lu1^3*(1058772*f20[t]^2 + 352924*f22[t]^2 + 352924*f22n[t]^2 - 2744742*Sqrt[Pi]*f40[t] + 2030691*Sqrt[5]*f20[t]*f40[t] + 2123739*f40[t]^2 - 6092073*Sqrt[3]*f22[t]*f42[t] - 2595681*f42[t]^2 - 6092073*Sqrt[3]*f22n[t]*f42n[t] - 2595681*f42n[t]^2 + 3303594*f44[t]^2 + 3303594*f44n[t]^2) + 2*lu1^2*(471900*f20[t]^2 + 157300*f22[t]^2 + 157300*f22n[t]^2 - 918918*Sqrt[Pi]*f40[t] + 2732340*Sqrt[5]*f20[t]*f40[t] + 8594181*f40[t]^2 - 8197020*Sqrt[3]*f22[t]*f42[t] - 10503999*f42[t]^2 - 8197020*Sqrt[3]*f22n[t]*f42n[t] - 10503999*f42n[t]^2 + 13368726*f44[t]^2 + 13368726*f44n[t]^2) - 2*lu1^4*(36235056*f20[t]^2 + 12078352*f22[t]^2 + 12078352*f22n[t]^2 - 66918852*Sqrt[Pi]*f40[t] + 38550447*Sqrt[5]*f20[t]*f40[t] + 71205804*f40[t]^2 - 115651341*Sqrt[3]*f22[t]*f42[t] - 87029316*f42[t]^2 - 115651341*Sqrt[3]*f22n[t]*f42n[t] - 87029316*f42n[t]^2 + 110764584*f44[t]^2 + 110764584*f44n[t]^2) - 36*(299*Sqrt[5]*f20[t]*f40[t] + 3*(810*f40[t]^2 - 299*Sqrt[3]*f22[t]* f42[t] - 990*f42[t]^2 - 299*Sqrt[3]*f22n[t]*f42n[t] - 990*f42n[t]^2 + 1260*f44[t]^2 + 1260*f44n[t]^2))) + 308*(3 + 8*lu1 + 4*lu1^2)*mar*Sqrt[Pi]* (1287*(-41 + 857*lu1 + 849*lu1^2 - 82013*lu1^3 + 362480*lu1^4 + 5100*lu1^5)*f20[t]^2 + 429*(-41 + 857*lu1 + 849*lu1^2 - 82013*lu1^3 + 362480*lu1^4 + 5100*lu1^5)*f22[t]^2 - 17589*f22n[t]^2 + 367653*lu1*f22n[t]^2 + 364221*lu1^2*f22n[t]^2 - 35183577*lu1^3*f22n[t]^2 + 155503920*lu1^4*f22n[t]^2 + 2187900*lu1^5*f22n[t]^2 + 30030*Sqrt[Pi]*f40[t] - 1121120*lu1*Sqrt[Pi]*f40[t] + 4274270*lu1^2*Sqrt[Pi]*f40[t] + 143723580*lu1^3*Sqrt[Pi]*f40[t] - 579739160*lu1^4*Sqrt[Pi]*f40[t] - 1681279600*lu1^5*Sqrt[Pi]*f40[t] + 97200*f40[t]^2 + 7725375*lu1*f40[t]^2 - 100849050*lu1^2*f40[t]^2 + 82480275*lu1^3*f40[t]^2 + 1217810700*lu1^4*f40[t]^2 + 1178412300*lu1^5*f40[t]^2 - 118800*f42[t]^2 - 9442125*lu1*f42[t]^2 + 123259950*lu1^2*f42[t]^2 - 100809225*lu1^3*f42[t]^2 - 1488435300*lu1^4*f42[t]^2 - 1440281700*lu1^5*f42[t]^2 + 263250*Sqrt[3]*f22n[t]*f42n[t] - 9172215*Sqrt[3]*lu1*f22n[t]* f42n[t] + 52185510*Sqrt[3]*lu1^2*f22n[t]*f42n[t] + 121942665*Sqrt[3]*lu1^3*f22n[t]*f42n[t] - 1994486130*Sqrt[3]*lu1^4* f22n[t]*f42n[t] - 2332863000*Sqrt[3]*lu1^5*f22n[t]*f42n[t] - 118800*f42n[t]^2 - 9442125*lu1*f42n[t]^2 + 123259950*lu1^2* f42n[t]^2 - 100809225*lu1^3*f42n[t]^2 - 1488435300*lu1^4* f42n[t]^2 - 1440281700*lu1^5*f42n[t]^2 + 151200*f44[t]^2 + 12017250*lu1*f44[t]^2 - 156876300*lu1^2*f44[t]^2 + 128302650*lu1^3*f44[t]^2 + 1894372200*lu1^4*f44[t]^2 + 1833085800*lu1^5*f44[t]^2 + 151200*f44n[t]^2 + 12017250*lu1*f44n[t]^2 - 156876300*lu1^2*f44n[t]^2 + 128302650*lu1^3*f44n[t]^2 + 1894372200*lu1^4*f44n[t]^2 + 1833085800*lu1^5*f44n[t]^2 + 46605*Sqrt[5]*f40[t]*g20[t] - 292240*Sqrt[5]*lu1*f40[t]*g20[t] - 7663370*Sqrt[5]*lu1^2*f40[t]* g20[t] - 8603790*Sqrt[5]*lu1^3*f40[t]*g20[t] - 89167975*Sqrt[5]*lu1^4*f40[t]*g20[t] - 111770750*Sqrt[5]*lu1^5* f40[t]*g20[t] - 139815*Sqrt[3]*f42[t]*g22[t] + 876720*Sqrt[3]*lu1*f42[t]*g22[t] + 22990110*Sqrt[3]*lu1^2*f42[t]* g22[t] + 25811370*Sqrt[3]*lu1^3*f42[t]*g22[t] + 267503925*Sqrt[3]*lu1^4*f42[t]*g22[t] + 335312250*Sqrt[3]*lu1^5* f42[t]*g22[t] + 7722*f22n[t]*g22n[t] - 111254*lu1*f22n[t]*g22n[t] - 793078*lu1^2*f22n[t]*g22n[t] + 8929206*lu1^3*f22n[t]*g22n[t] - 20554820*lu1^4*f22n[t]*g22n[t] - 6806800*lu1^5*f22n[t]*g22n[t] - 139815*Sqrt[3]*f42n[t]*g22n[t] + 876720*Sqrt[3]*lu1*f42n[t]* g22n[t] + 22990110*Sqrt[3]*lu1^2*f42n[t]*g22n[t] + 25811370*Sqrt[3]*lu1^3*f42n[t]*g22n[t] + 267503925*Sqrt[3]*lu1^4* f42n[t]*g22n[t] + 335312250*Sqrt[3]*lu1^5*f42n[t]*g22n[t] - 15015*Sqrt[Pi]*g40[t] + 155155*lu1*Sqrt[Pi]*g40[t] + 2457455*lu1^2*Sqrt[Pi]*g40[t] - 10105095*lu1^3*Sqrt[Pi]*g40[t] - 44724680*lu1^4*Sqrt[Pi]*g40[t] - 32332300*lu1^5*Sqrt[Pi]*g40[t] + 181035*f40[t]*g40[t] + 910440*lu1*f40[t]*g40[t] + 5663925*lu1^2*f40[t]*g40[t] - 81665010*lu1^3*f40[t]*g40[t] - 220304610*lu1^4*f40[t]*g40[t] - 77411700*lu1^5*f40[t]*g40[t] + 13*f20[t]*(15*Sqrt[5]*(-450 + 15679*lu1 - 89206*lu1^2 - 208449*lu1^3 + 3409378*lu1^4 + 3987800*lu1^5)*f40[t] - 66*(-27 + 389*lu1 + 2773*lu1^2 - 31221*lu1^3 + 71870*lu1^4 + 23800*lu1^5)*g20[t] - 5*Sqrt[5]*(-447 + 83*lu1 - 29252*lu1^2 + 207417*lu1^3 + 553433*lu1^4 + 27550*lu1^5)*g40[t]) - 221265*f42[t]*g42[t] - 1112760*lu1*f42[t]*g42[t] - 6922575*lu1^2*f42[t]*g42[t] + 99812790*lu1^3*f42[t]*g42[t] + 269261190*lu1^4*f42[t]*g42[t] + 94614300*lu1^5*f42[t]*g42[t] - 13*f22[t]*(45*Sqrt[3]*(-450 + 15679*lu1 - 89206*lu1^2 - 208449*lu1^3 + 3409378*lu1^4 + 3987800*lu1^5)*f42[t] + 22*(-27 + 389*lu1 + 2773*lu1^2 - 31221*lu1^3 + 71870*lu1^4 + 23800*lu1^5)*g22[t] - 15*Sqrt[3]*(-447 + 83*lu1 - 29252*lu1^2 + 207417*lu1^3 + 553433*lu1^4 + 27550*lu1^5)*g42[t]) - 87165*Sqrt[3]*f22n[t]*g42n[t] + 16185*Sqrt[3]*lu1*f22n[t]*g42n[t] - 5704140*Sqrt[3]*lu1^2*f22n[t]*g42n[t] + 40446315*Sqrt[3]*lu1^3* f22n[t]*g42n[t] + 107919435*Sqrt[3]*lu1^4*f22n[t]*g42n[t] + 5372250*Sqrt[3]*lu1^5*f22n[t]*g42n[t] - 221265*f42n[t]*g42n[t] - 1112760*lu1*f42n[t]*g42n[t] - 6922575*lu1^2*f42n[t]*g42n[t] + 99812790*lu1^3*f42n[t]*g42n[t] + 269261190*lu1^4*f42n[t]*g42n[t] + 94614300*lu1^5*f42n[t]*g42n[t] + 281610*f44[t]*g44[t] + 1416240*lu1*f44[t]*g44[t] + 8810550*lu1^2*f44[t]*g44[t] - 127034460*lu1^3*f44[t]*g44[t] - 342696060*lu1^4*f44[t]*g44[t] - 120418200*lu1^5*f44[t]*g44[t] + 281610*f44n[t]*g44n[t] + 1416240*lu1*f44n[t]*g44n[t] + 8810550*lu1^2*f44n[t]*g44n[t] - 127034460*lu1^3*f44n[t]*g44n[t] - 342696060*lu1^4*f44n[t]*g44n[t] - 120418200*lu1^5*f44n[t]*g44n[t]))/(231231*(-9 + 51*lu1 + 38*lu1^2)* (-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)^2*Pi) + (mar*(2844270*Sqrt[5]*(-696195 + 33458103*lu1 + 1534092615*lu1^2 - 73708649577*lu1^3 - 287053964451*lu1^4 + 30485944475993*lu1^5 - 291560494623819*lu1^6 - 460777692807187*lu1^7 + 42525698224401218*lu1^8 - 242430623682854116*lu1^9 - 1295463503504226616*lu1^10 + 5509358027595023184*lu1^11 + 11494083068115475808*lu1^12 + 5504007372671269440*lu1^13 + 5181732471712003200*lu1^14 + 3178834928571456000*lu1^15)*f20[t]^3 - 11104292397276*f22n[t]^2*f40[t] + 1561829320036440*lu1*f22n[t]^2* f40[t] - 29677097233717596*lu1^2*f22n[t]^2*f40[t] - 3117148515790341552*lu1^3*f22n[t]^2*f40[t] + 108180493927466976756* lu1^4*f22n[t]^2*f40[t] + 362891583246257242632*lu1^5*f22n[t]^2* f40[t] - 41558191253362394527956*lu1^6*f22n[t]^2*f40[t] + 362474632013910229221408*lu1^7*f22n[t]^2*f40[t] + 1760360674326473046304776*lu1^8*f22n[t]^2*f40[t] - 4936525242922800061321488*lu1^9*f22n[t]^2*f40[t] + 21515557788110856550209168*lu1^10*f22n[t]^2*f40[t] - 19744091551143070585611072*lu1^11*f22n[t]^2*f40[t] - 108947893540478536200983040*lu1^12*f22n[t]^2*f40[t] + 306279464666470737209414400*lu1^13*f22n[t]^2*f40[t] + 628548148983122545675680000*lu1^14*f22n[t]^2*f40[t] + 220231505323178439592320000*lu1^15*f22n[t]^2*f40[t] + 257983075061730*f40[t]^3 - 7050175938635760*lu1*f40[t]^3 - 836925372316730250*lu1^2*f40[t]^3 + 20197084000348609740*lu1^3* f40[t]^3 + 455232060104377409550*lu1^4*f40[t]^3 - 11968274902020944403960*lu1^5*f40[t]^3 + 27286277296098908219610* lu1^6*f40[t]^3 + 1335786441100300135085580*lu1^7*f40[t]^3 - 9570127704125904779363520*lu1^8*f40[t]^3 - 9757125693937875374732400* lu1^9*f40[t]^3 + 165742543108741824933648960*lu1^10*f40[t]^3 + 115393604961304887888423360*lu1^11*f40[t]^3 - 1050446693775900621115261440*lu1^12*f40[t]^3 - 2027033010750409408810579200*lu1^13*f40[t]^3 - 1243253814393520696358592000*lu1^14*f40[t]^3 - 239898123182194768408320000*lu1^15*f40[t]^3 + 819977744172420*f40[t]* f42[t]^2 - 34487135857959120*lu1*f40[t]*f42[t]^2 - 2322115533928537020*lu1^2*f40[t]*f42[t]^2 + 90650080043955302040* lu1^3*f40[t]*f42[t]^2 + 1000590489492151156740*lu1^4*f40[t]* f42[t]^2 - 39487411790200913313600*lu1^5*f40[t]*f42[t]^2 + 22134389264577308436540*lu1^6*f40[t]*f42[t]^2 + 3341609119828872726253560*lu1^7*f40[t]*f42[t]^2 - 14103900213332814898959720*lu1^8*f40[t]*f42[t]^2 - 30320280870051728637592320*lu1^9*f40[t]*f42[t]^2 + 291031669100400909629255520*lu1^10*f40[t]*f42[t]^2 - 14775576016385454257072640*lu1^11*f40[t]*f42[t]^2 - 3288638344006701662308502400*lu1^12*f40[t]*f42[t]^2 - 6050553733960723806523392000*lu1^13*f40[t]*f42[t]^2 - 3763522735602711044378688000*lu1^14*f40[t]*f42[t]^2 - 751340453533564999991040000*lu1^15*f40[t]*f42[t]^2 + 11403324019620*Sqrt[3]*f22n[t]*f40[t]*f42n[t] + 452350814233500*Sqrt[3]*lu1*f22n[t]*f40[t]*f42n[t] - 65238668312652900*Sqrt[3]*lu1^2*f22n[t]*f40[t]*f42n[t] - 1050653106942072660*Sqrt[3]*lu1^3*f22n[t]*f40[t]*f42n[t] + 77975708022643019940*Sqrt[3]*lu1^4*f22n[t]*f40[t]*f42n[t] + 73932672740494871940*Sqrt[3]*lu1^5*f22n[t]*f40[t]*f42n[t] - 7473292865257669763820*Sqrt[3]*lu1^6*f22n[t]*f40[t]*f42n[t] + 185951403824586493313220*Sqrt[3]*lu1^7*f22n[t]*f40[t]*f42n[t] - 1739331464740777985371320*Sqrt[3]*lu1^8*f22n[t]*f40[t]*f42n[t] - 10338200116989338307389520*Sqrt[3]*lu1^9*f22n[t]*f40[t]*f42n[t] - 30970569871626564175339200*Sqrt[3]*lu1^10*f22n[t]*f40[t]*f42n[t] - 45326871239307872876600640*Sqrt[3]*lu1^11*f22n[t]*f40[t]*f42n[t] + 35324450327619974096883840*Sqrt[3]*lu1^12*f22n[t]*f40[t]*f42n[t] + 29684373101730023527968000*Sqrt[3]*lu1^13*f22n[t]*f40[t]*f42n[t] - 48588716697103851725184000*Sqrt[3]*lu1^14*f22n[t]*f40[t]*f42n[t] + 24414028734668332032000000*Sqrt[3]*lu1^15*f22n[t]*f40[t]*f42n[t] + 819977744172420*f40[t]*f42n[t]^2 - 34487135857959120*lu1*f40[t]* f42n[t]^2 - 2322115533928537020*lu1^2*f40[t]*f42n[t]^2 + 90650080043955302040*lu1^3*f40[t]*f42n[t]^2 + 1000590489492151156740* lu1^4*f40[t]*f42n[t]^2 - 39487411790200913313600*lu1^5*f40[t]* f42n[t]^2 + 22134389264577308436540*lu1^6*f40[t]*f42n[t]^2 + 3341609119828872726253560*lu1^7*f40[t]*f42n[t]^2 - 14103900213332814898959720*lu1^8*f40[t]*f42n[t]^2 - 30320280870051728637592320*lu1^9*f40[t]*f42n[t]^2 + 291031669100400909629255520*lu1^10*f40[t]*f42n[t]^2 - 14775576016385454257072640*lu1^11*f40[t]*f42n[t]^2 - 3288638344006701662308502400*lu1^12*f40[t]*f42n[t]^2 - 6050553733960723806523392000*lu1^13*f40[t]*f42n[t]^2 - 3763522735602711044378688000*lu1^14*f40[t]*f42n[t]^2 - 751340453533564999991040000*lu1^15*f40[t]*f42n[t]^2 + 2692903209516*Sqrt[70]*f22n[t]^2*f44[t] - 163259710990740*Sqrt[70]* lu1*f22n[t]^2*f44[t] - 3910009750086024*Sqrt[70]*lu1^2*f22n[t]^2* f44[t] + 336631748564427732*Sqrt[70]*lu1^3*f22n[t]^2*f44[t] - 3226837850880553416*Sqrt[70]*lu1^4*f22n[t]^2*f44[t] - 81680943560532135612*Sqrt[70]*lu1^5*f22n[t]^2*f44[t] + 2661069950061982821336*Sqrt[70]*lu1^6*f22n[t]^2*f44[t] - 29693641763564585034228*Sqrt[70]*lu1^7*f22n[t]^2*f44[t] - 169226768241982079099796*Sqrt[70]*lu1^8*f22n[t]^2*f44[t] + 1701133028976564093803568*Sqrt[70]*lu1^9*f22n[t]^2*f44[t] + 4294862922623438705054112*Sqrt[70]*lu1^10*f22n[t]^2*f44[t] - 12485428663143818283989568*Sqrt[70]*lu1^11*f22n[t]^2*f44[t] - 54189008189504350052953920*Sqrt[70]*lu1^12*f22n[t]^2*f44[t] - 62445162087447145189397760*Sqrt[70]*lu1^13*f22n[t]^2*f44[t] - 33675768178690447366502400*Sqrt[70]*lu1^14*f22n[t]^2*f44[t] - 15409314781156616785920000*Sqrt[70]*lu1^15*f22n[t]^2*f44[t] + 26058136632768*Sqrt[70]*f42[t]^2*f44[t] - 1747438626916080*Sqrt[70]* lu1*f42[t]^2*f44[t] - 55565553368149416*Sqrt[70]*lu1^2*f42[t]^2* f44[t] + 4307649603707835648*Sqrt[70]*lu1^3*f42[t]^2*f44[t] + 7725117367148257512*Sqrt[70]*lu1^4*f42[t]^2*f44[t] - 1332931027385059243344*Sqrt[70]*lu1^5*f42[t]^2*f44[t] - 2780414170938900685944*Sqrt[70]*lu1^6*f42[t]^2*f44[t] + 57431677510994781949920*Sqrt[70]*lu1^7*f42[t]^2*f44[t] + 431687588135913827980056*Sqrt[70]*lu1^8*f42[t]^2*f44[t] - 926231098472226676125216*Sqrt[70]*lu1^9*f42[t]^2*f44[t] - 3467435752892806306117920*Sqrt[70]*lu1^10*f42[t]^2*f44[t] - 21048238794771019717193088*Sqrt[70]*lu1^11*f42[t]^2*f44[t] - 101806710553277178863826816*Sqrt[70]*lu1^12*f42[t]^2*f44[t] - 171127518210848999048762880*Sqrt[70]*lu1^13*f42[t]^2*f44[t] - 109458437727057398713843200*Sqrt[70]*lu1^14*f42[t]^2*f44[t] - 23275217757357896843520000*Sqrt[70]*lu1^15*f42[t]^2*f44[t] + 3557643522732*Sqrt[210]*f22n[t]*f42n[t]*f44[t] + 286186986707076*Sqrt[210]*lu1*f22n[t]*f42n[t]*f44[t] - 30009012191860572*Sqrt[210]*lu1^2*f22n[t]*f42n[t]*f44[t] - 455267859853719276*Sqrt[210]*lu1^3*f22n[t]*f42n[t]*f44[t] + 42390582439157177628*Sqrt[210]*lu1^4*f22n[t]*f42n[t]*f44[t] - 278503155478902302052*Sqrt[210]*lu1^5*f22n[t]*f42n[t]*f44[t] - 5123538833965692848916*Sqrt[210]*lu1^6*f22n[t]*f42n[t]*f44[t] + 153919031885649074063292*Sqrt[210]*lu1^7*f22n[t]*f42n[t]*f44[t] - 467415412670784288329112*Sqrt[210]*lu1^8*f22n[t]*f42n[t]*f44[t] - 7993652207040185904654384*Sqrt[210]*lu1^9*f22n[t]*f42n[t]*f44[t] - 17660630800831589979150912*Sqrt[210]*lu1^10*f22n[t]*f42n[t]*f44[t] - 7499372543092239573057216*Sqrt[210]*lu1^11*f22n[t]*f42n[t]*f44[t] + 35802091491062915791373952*Sqrt[210]*lu1^12*f22n[t]*f42n[t]*f44[t] + 60053127724265345844744960*Sqrt[210]*lu1^13*f22n[t]*f42n[t]*f44[t] + 40259538875905952761267200*Sqrt[210]*lu1^14*f22n[t]*f42n[t]*f44[t] + 21353337504798026757120000*Sqrt[210]*lu1^15*f22n[t]*f42n[t]*f44[t] - 26058136632768*Sqrt[70]*f42n[t]^2*f44[t] + 1747438626916080*Sqrt[70]* lu1*f42n[t]^2*f44[t] + 55565553368149416*Sqrt[70]*lu1^2*f42n[t]^2* f44[t] - 4307649603707835648*Sqrt[70]*lu1^3*f42n[t]^2*f44[t] - 7725117367148257512*Sqrt[70]*lu1^4*f42n[t]^2*f44[t] + 1332931027385059243344*Sqrt[70]*lu1^5*f42n[t]^2*f44[t] + 2780414170938900685944*Sqrt[70]*lu1^6*f42n[t]^2*f44[t] - 57431677510994781949920*Sqrt[70]*lu1^7*f42n[t]^2*f44[t] - 431687588135913827980056*Sqrt[70]*lu1^8*f42n[t]^2*f44[t] + 926231098472226676125216*Sqrt[70]*lu1^9*f42n[t]^2*f44[t] + 3467435752892806306117920*Sqrt[70]*lu1^10*f42n[t]^2*f44[t] + 21048238794771019717193088*Sqrt[70]*lu1^11*f42n[t]^2*f44[t] + 101806710553277178863826816*Sqrt[70]*lu1^12*f42n[t]^2*f44[t] + 171127518210848999048762880*Sqrt[70]*lu1^13*f42n[t]^2*f44[t] + 109458437727057398713843200*Sqrt[70]*lu1^14*f42n[t]^2*f44[t] + 23275217757357896843520000*Sqrt[70]*lu1^15*f42n[t]^2*f44[t] + 168524328353220*f40[t]*f44[t]^2 + 9198829814942880*lu1*f40[t]* f44[t]^2 - 932976699724801620*lu1^2*f40[t]*f44[t]^2 - 17041160048740589160*lu1^3*f40[t]*f44[t]^2 + 807462555313444718940* lu1^4*f40[t]*f44[t]^2 - 6164136105574432230000*lu1^5*f40[t]* f44[t]^2 + 91644743538049825585140*lu1^6*f40[t]*f44[t]^2 + 1905817182054003177505560*lu1^7*f40[t]*f44[t]^2 - 24896089916730660598461120*lu1^8*f40[t]*f44[t]^2 - 7164503408246061734461920*lu1^9*f40[t]*f44[t]^2 + 377717562922721067282203520*lu1^10*f40[t]*f44[t]^2 + 511430393852890038672754560*lu1^11*f40[t]*f44[t]^2 - 743470580174772190712832000*lu1^12*f40[t]*f44[t]^2 - 1772365778689498830304320000*lu1^13*f40[t]*f44[t]^2 - 1027061792426276076532608000*lu1^14*f40[t]*f44[t]^2 - 169460009599617578903040000*lu1^15*f40[t]*f44[t]^2 - 3557643522732*Sqrt[210]*f22n[t]*f42[t]*f44n[t] - 286186986707076*Sqrt[210]*lu1*f22n[t]*f42[t]*f44n[t] + 30009012191860572*Sqrt[210]*lu1^2*f22n[t]*f42[t]*f44n[t] + 455267859853719276*Sqrt[210]*lu1^3*f22n[t]*f42[t]*f44n[t] - 42390582439157177628*Sqrt[210]*lu1^4*f22n[t]*f42[t]*f44n[t] + 278503155478902302052*Sqrt[210]*lu1^5*f22n[t]*f42[t]*f44n[t] + 5123538833965692848916*Sqrt[210]*lu1^6*f22n[t]*f42[t]*f44n[t] - 153919031885649074063292*Sqrt[210]*lu1^7*f22n[t]*f42[t]*f44n[t] + 467415412670784288329112*Sqrt[210]*lu1^8*f22n[t]*f42[t]*f44n[t] + 7993652207040185904654384*Sqrt[210]*lu1^9*f22n[t]*f42[t]*f44n[t] + 17660630800831589979150912*Sqrt[210]*lu1^10*f22n[t]*f42[t]*f44n[t] + 7499372543092239573057216*Sqrt[210]*lu1^11*f22n[t]*f42[t]*f44n[t] - 35802091491062915791373952*Sqrt[210]*lu1^12*f22n[t]*f42[t]*f44n[t] - 60053127724265345844744960*Sqrt[210]*lu1^13*f22n[t]*f42[t]*f44n[t] - 40259538875905952761267200*Sqrt[210]*lu1^14*f22n[t]*f42[t]*f44n[t] - 21353337504798026757120000*Sqrt[210]*lu1^15*f22n[t]*f42[t]*f44n[t] + 52116273265536*Sqrt[70]*f42[t]*f42n[t]*f44n[t] - 3494877253832160*Sqrt[70]*lu1*f42[t]*f42n[t]*f44n[t] - 111131106736298832*Sqrt[70]*lu1^2*f42[t]*f42n[t]*f44n[t] + 8615299207415671296*Sqrt[70]*lu1^3*f42[t]*f42n[t]*f44n[t] + 15450234734296515024*Sqrt[70]*lu1^4*f42[t]*f42n[t]*f44n[t] - 2665862054770118486688*Sqrt[70]*lu1^5*f42[t]*f42n[t]*f44n[t] - 5560828341877801371888*Sqrt[70]*lu1^6*f42[t]*f42n[t]*f44n[t] + 114863355021989563899840*Sqrt[70]*lu1^7*f42[t]*f42n[t]*f44n[t] + 863375176271827655960112*Sqrt[70]*lu1^8*f42[t]*f42n[t]*f44n[t] - 1852462196944453352250432*Sqrt[70]*lu1^9*f42[t]*f42n[t]*f44n[t] - 6934871505785612612235840*Sqrt[70]*lu1^10*f42[t]*f42n[t]*f44n[t] - 42096477589542039434386176*Sqrt[70]*lu1^11*f42[t]*f42n[t]*f44n[t] - 203613421106554357727653632*Sqrt[70]*lu1^12*f42[t]*f42n[t]*f44n[t] - 342255036421697998097525760*Sqrt[70]*lu1^13*f42[t]*f42n[t]*f44n[t] - 218916875454114797427686400*Sqrt[70]*lu1^14*f42[t]*f42n[t]*f44n[t] - 46550435514715793687040000*Sqrt[70]*lu1^15*f42[t]*f42n[t]*f44n[t] + 168524328353220*f40[t]*f44n[t]^2 + 9198829814942880*lu1*f40[t]* f44n[t]^2 - 932976699724801620*lu1^2*f40[t]*f44n[t]^2 - 17041160048740589160*lu1^3*f40[t]*f44n[t]^2 + 807462555313444718940* lu1^4*f40[t]*f44n[t]^2 - 6164136105574432230000*lu1^5*f40[t]* f44n[t]^2 + 91644743538049825585140*lu1^6*f40[t]*f44n[t]^2 + 1905817182054003177505560*lu1^7*f40[t]*f44n[t]^2 - 24896089916730660598461120*lu1^8*f40[t]*f44n[t]^2 - 7164503408246061734461920*lu1^9*f40[t]*f44n[t]^2 + 377717562922721067282203520*lu1^10*f40[t]*f44n[t]^2 + 511430393852890038672754560*lu1^11*f40[t]*f44n[t]^2 - 743470580174772190712832000*lu1^12*f40[t]*f44n[t]^2 - 1772365778689498830304320000*lu1^13*f40[t]*f44n[t]^2 - 1027061792426276076532608000*lu1^14*f40[t]*f44n[t]^2 - 169460009599617578903040000*lu1^15*f40[t]*f44n[t]^2 - 901684218006*Sqrt[5]*f22n[t]^2*g20[t] + 35041306850550*Sqrt[5]*lu1* f22n[t]^2*g20[t] + 2223281057658804*Sqrt[5]*lu1^2*f22n[t]^2*g20[t] - 70713175221279162*Sqrt[5]*lu1^3*f22n[t]^2*g20[t] - 830107743622406964*Sqrt[5]*lu1^4*f22n[t]^2*g20[t] + 21931152382574994702*Sqrt[5]*lu1^5*f22n[t]^2*g20[t] - 223241756709291899436*Sqrt[5]*lu1^6*f22n[t]^2*g20[t] + 2146532589071747174298*Sqrt[5]*lu1^7*f22n[t]^2*g20[t] + 49402109223382663036146*Sqrt[5]*lu1^8*f22n[t]^2*g20[t] - 294125249907386314582308*Sqrt[5]*lu1^9*f22n[t]^2*g20[t] - 1251853753067556952224912*Sqrt[5]*lu1^10*f22n[t]^2*g20[t] + 1876750516678784154902208*Sqrt[5]*lu1^11*f22n[t]^2*g20[t] + 8381148591452708734085280*Sqrt[5]*lu1^12*f22n[t]^2*g20[t] + 9836386347619072318334400*Sqrt[5]*lu1^13*f22n[t]^2*g20[t] + 9154835541191989801152000*Sqrt[5]*lu1^14*f22n[t]^2*g20[t] + 5377070121071286718080000*Sqrt[5]*lu1^15*f22n[t]^2*g20[t] + 28519790676390*Sqrt[5]*f40[t]^2*g20[t] - 820103614785000*Sqrt[5]*lu1* f40[t]^2*g20[t] - 84936479532884460*Sqrt[5]*lu1^2*f40[t]^2*g20[t] + 1536988825602715680*Sqrt[5]*lu1^3*f40[t]^2*g20[t] + 62978684654509472160*Sqrt[5]*lu1^4*f40[t]^2*g20[t] - 409088059898991272280*Sqrt[5]*lu1^5*f40[t]^2*g20[t] - 15164102193524263977660*Sqrt[5]*lu1^6*f40[t]^2*g20[t] - 36512648398833703452720*Sqrt[5]*lu1^7*f40[t]^2*g20[t] + 1033324907232963531716010*Sqrt[5]*lu1^8*f40[t]^2*g20[t] + 10062698630757266027355120*Sqrt[5]*lu1^9*f40[t]^2*g20[t] + 36039933964015320150728280*Sqrt[5]*lu1^10*f40[t]^2*g20[t] + 44463098540127938787398880*Sqrt[5]*lu1^11*f40[t]^2*g20[t] - 43500107357485185042698400*Sqrt[5]*lu1^12*f40[t]^2*g20[t] - 145437274420528438273536000*Sqrt[5]*lu1^13*f40[t]^2*g20[t] - 106909666129334581858800000*Sqrt[5]*lu1^14*f40[t]^2*g20[t] - 24381980807743618113600000*Sqrt[5]*lu1^15*f40[t]^2*g20[t] - 36839639878470*Sqrt[5]*f42[t]^2*g20[t] + 1089101755113372*Sqrt[5]*lu1* f42[t]^2*g20[t] + 113958277109423604*Sqrt[5]*lu1^2*f42[t]^2*g20[t] - 2255635271761082640*Sqrt[5]*lu1^3*f42[t]^2*g20[t] - 92164160832247193976*Sqrt[5]*lu1^4*f42[t]^2*g20[t] + 920520339349130719056*Sqrt[5]*lu1^5*f42[t]^2*g20[t] + 24278095758250498254948*Sqrt[5]*lu1^6*f42[t]^2*g20[t] - 36098415855432424205712*Sqrt[5]*lu1^7*f42[t]^2*g20[t] - 2141975223527049169291890*Sqrt[5]*lu1^8*f42[t]^2*g20[t] - 11720101839571679079080412*Sqrt[5]*lu1^9*f42[t]^2*g20[t] - 35796940249749006404244168*Sqrt[5]*lu1^10*f42[t]^2*g20[t] - 53643860443576735482067632*Sqrt[5]*lu1^11*f42[t]^2*g20[t] + 45820318833140762111778720*Sqrt[5]*lu1^12*f42[t]^2*g20[t] + 199318792333714233533496000*Sqrt[5]*lu1^13*f42[t]^2*g20[t] + 121833439177946317789968000*Sqrt[5]*lu1^14*f42[t]^2*g20[t] - 12947703171530146699680000*Sqrt[5]*lu1^15*f42[t]^2*g20[t] + 2493860021406*Sqrt[15]*f22n[t]*f42n[t]*g20[t] - 98705662178760*Sqrt[15]*lu1*f22n[t]*f42n[t]*g20[t] - 7138175306322294*Sqrt[15]*lu1^2*f22n[t]*f42n[t]*g20[t] + 220144936375371852*Sqrt[15]*lu1^3*f22n[t]*f42n[t]*g20[t] + 5832333480847182114*Sqrt[15]*lu1^4*f22n[t]*f42n[t]*g20[t] - 101808336881139952752*Sqrt[15]*lu1^5*f22n[t]*f42n[t]*g20[t] - 2536649865779221505274*Sqrt[15]*lu1^6*f22n[t]*f42n[t]*g20[t] + 11089673922660367628412*Sqrt[15]*lu1^7*f22n[t]*f42n[t]*g20[t] + 331109922640471150151664*Sqrt[15]*lu1^8*f22n[t]*f42n[t]*g20[t] + 1477114497628273687015248*Sqrt[15]*lu1^9*f22n[t]*f42n[t]*g20[t] + 5920587493162326766559232*Sqrt[15]*lu1^10*f22n[t]*f42n[t]*g20[t] + 10093107205826803559842272*Sqrt[15]*lu1^11*f22n[t]*f42n[t]*g20[t] - 4678289186791912629400320*Sqrt[15]*lu1^12*f22n[t]*f42n[t]*g20[t] - 32997118057627738901452800*Sqrt[15]*lu1^13*f22n[t]*f42n[t]*g20[t] - 27365518172834497027008000*Sqrt[15]*lu1^14*f22n[t]*f42n[t]*g20[t] - 2630876808349345832640000*Sqrt[15]*lu1^15*f22n[t]*f42n[t]*g20[t] - 36839639878470*Sqrt[5]*f42n[t]^2*g20[t] + 1089101755113372*Sqrt[5]* lu1*f42n[t]^2*g20[t] + 113958277109423604*Sqrt[5]*lu1^2*f42n[t]^2* g20[t] - 2255635271761082640*Sqrt[5]*lu1^3*f42n[t]^2*g20[t] - 92164160832247193976*Sqrt[5]*lu1^4*f42n[t]^2*g20[t] + 920520339349130719056*Sqrt[5]*lu1^5*f42n[t]^2*g20[t] + 24278095758250498254948*Sqrt[5]*lu1^6*f42n[t]^2*g20[t] - 36098415855432424205712*Sqrt[5]*lu1^7*f42n[t]^2*g20[t] - 2141975223527049169291890*Sqrt[5]*lu1^8*f42n[t]^2*g20[t] - 11720101839571679079080412*Sqrt[5]*lu1^9*f42n[t]^2*g20[t] - 35796940249749006404244168*Sqrt[5]*lu1^10*f42n[t]^2*g20[t] - 53643860443576735482067632*Sqrt[5]*lu1^11*f42n[t]^2*g20[t] + 45820318833140762111778720*Sqrt[5]*lu1^12*f42n[t]^2*g20[t] + 199318792333714233533496000*Sqrt[5]*lu1^13*f42n[t]^2*g20[t] + 121833439177946317789968000*Sqrt[5]*lu1^14*f42n[t]^2*g20[t] - 12947703171530146699680000*Sqrt[5]*lu1^15*f42n[t]^2*g20[t] - 15777156262140*Sqrt[5]*f44[t]^2*g20[t] + 334304247670848*Sqrt[5]*lu1* f44[t]^2*g20[t] + 45061755248194776*Sqrt[5]*lu1^2*f44[t]^2*g20[t] - 330159384346821120*Sqrt[5]*lu1^3*f44[t]^2*g20[t] - 26747910223634998944*Sqrt[5]*lu1^4*f44[t]^2*g20[t] - 324964584495249085296*Sqrt[5]*lu1^5*f44[t]^2*g20[t] + 1798954902996316628472*Sqrt[5]*lu1^6*f44[t]^2*g20[t] + 132541022413605278989152*Sqrt[5]*lu1^7*f44[t]^2*g20[t] + 793683912179976530223420*Sqrt[5]*lu1^8*f44[t]^2*g20[t] - 4681681621301734159966128*Sqrt[5]*lu1^9*f44[t]^2*g20[t] - 28710892024478501029828272*Sqrt[5]*lu1^10*f44[t]^2*g20[t] - 38697533072357790645076608*Sqrt[5]*lu1^11*f44[t]^2*g20[t] + 24478868664857362911704640*Sqrt[5]*lu1^12*f44[t]^2*g20[t] + 112216931140561050873888000*Sqrt[5]*lu1^13*f44[t]^2*g20[t] + 109372210496553826340064000*Sqrt[5]*lu1^14*f44[t]^2*g20[t] + 34609057317829872783360000*Sqrt[5]*lu1^15*f44[t]^2*g20[t] - 15777156262140*Sqrt[5]*f44n[t]^2*g20[t] + 334304247670848*Sqrt[5]*lu1* f44n[t]^2*g20[t] + 45061755248194776*Sqrt[5]*lu1^2*f44n[t]^2* g20[t] - 330159384346821120*Sqrt[5]*lu1^3*f44n[t]^2*g20[t] - 26747910223634998944*Sqrt[5]*lu1^4*f44n[t]^2*g20[t] - 324964584495249085296*Sqrt[5]*lu1^5*f44n[t]^2*g20[t] + 1798954902996316628472*Sqrt[5]*lu1^6*f44n[t]^2*g20[t] + 132541022413605278989152*Sqrt[5]*lu1^7*f44n[t]^2*g20[t] + 793683912179976530223420*Sqrt[5]*lu1^8*f44n[t]^2*g20[t] - 4681681621301734159966128*Sqrt[5]*lu1^9*f44n[t]^2*g20[t] - 28710892024478501029828272*Sqrt[5]*lu1^10*f44n[t]^2*g20[t] - 38697533072357790645076608*Sqrt[5]*lu1^11*f44n[t]^2*g20[t] + 24478868664857362911704640*Sqrt[5]*lu1^12*f44n[t]^2*g20[t] + 112216931140561050873888000*Sqrt[5]*lu1^13*f44n[t]^2*g20[t] + 109372210496553826340064000*Sqrt[5]*lu1^14*f44n[t]^2*g20[t] + 34609057317829872783360000*Sqrt[5]*lu1^15*f44n[t]^2*g20[t] + 15214774686930*Sqrt[3]*f40[t]*f42[t]*g22[t] - 586805245282620*Sqrt[3]* lu1*f40[t]*f42[t]*g22[t] - 44582868209667060*Sqrt[3]*lu1^2*f40[t]* f42[t]*g22[t] + 1353211166566546560*Sqrt[3]*lu1^3*f40[t]*f42[t]* g22[t] + 36387651478724189280*Sqrt[3]*lu1^4*f40[t]*f42[t]*g22[t] - 695435881020524891520*Sqrt[3]*lu1^5*f40[t]*f42[t]*g22[t] - 13791357935605260983700*Sqrt[3]*lu1^6*f40[t]*f42[t]*g22[t] + 74968077509799228343680*Sqrt[3]*lu1^7*f40[t]*f42[t]*g22[t] + 1869678211469586667146270*Sqrt[3]*lu1^8*f40[t]*f42[t]*g22[t] + 7723984460288631350257260*Sqrt[3]*lu1^9*f40[t]*f42[t]*g22[t] + 15395672669215037692223640*Sqrt[3]*lu1^10*f40[t]*f42[t]*g22[t] + 6315368705140127810420880*Sqrt[3]*lu1^11*f40[t]*f42[t]*g22[t] - 31243310283388241180469600*Sqrt[3]*lu1^12*f40[t]*f42[t]*g22[t] - 21724728324863665358712000*Sqrt[3]*lu1^13*f40[t]*f42[t]*g22[t] + 2663979809871022078800000*Sqrt[3]*lu1^14*f40[t]*f42[t]*g22[t] - 19241331006486968215200000*Sqrt[3]*lu1^15*f40[t]*f42[t]*g22[t] - 10648232451090*Sqrt[210]*f42[t]*f44[t]*g22[t] + 336055346332524*Sqrt[210]*lu1*f42[t]*f44[t]*g22[t] + 31566301517369268*Sqrt[210]*lu1^2*f42[t]*f44[t]*g22[t] - 680505920140700160*Sqrt[210]*lu1^3*f42[t]*f44[t]*g22[t] - 24071846203614030432*Sqrt[210]*lu1^4*f42[t]*f44[t]*g22[t] + 248177325510502650912*Sqrt[210]*lu1^5*f42[t]*f44[t]*g22[t] + 6802032172060855924116*Sqrt[210]*lu1^6*f42[t]*f44[t]*g22[t] - 5256909262270858081344*Sqrt[210]*lu1^7*f42[t]*f44[t]*g22[t] - 649488950889374275220190*Sqrt[210]*lu1^8*f42[t]*f44[t]*g22[t] - 4228183193592997210679484*Sqrt[210]*lu1^9*f42[t]*f44[t]*g22[t] - 12689783590913759578638936*Sqrt[210]*lu1^10*f42[t]*f44[t]*g22[t] - 13119900018395475905390544*Sqrt[210]*lu1^11*f42[t]*f44[t]*g22[t] + 17848690685340364247480160*Sqrt[210]*lu1^12*f42[t]*f44[t]*g22[t] + 43128218843780316611352000*Sqrt[210]*lu1^13*f42[t]*f44[t]*g22[t] + 27976448339181684079920000*Sqrt[210]*lu1^14*f42[t]*f44[t]*g22[t] + 10350127750029025140000000*Sqrt[210]*lu1^15*f42[t]*f44[t]*g22[t] + 2222521317666*Sqrt[70]*f22n[t]*f44n[t]*g22[t] - 63801671751090*Sqrt[70]*lu1*f22n[t]*f44n[t]*g22[t] - 6326288145518094*Sqrt[70]*lu1^2*f22n[t]*f44n[t]*g22[t] + 113432643396683442*Sqrt[70]*lu1^3*f22n[t]*f44n[t]*g22[t] + 3878798670946654494*Sqrt[70]*lu1^4*f22n[t]*f44n[t]*g22[t] - 19703149054575846522*Sqrt[70]*lu1^5*f22n[t]*f44n[t]*g22[t] - 254095830924762172554*Sqrt[70]*lu1^6*f22n[t]*f44n[t]*g22[t] - 7502324123723148333978*Sqrt[70]*lu1^7*f22n[t]*f44n[t]*g22[t] - 63933126724452190924056*Sqrt[70]*lu1^8*f22n[t]*f44n[t]*g22[t] + 533447002703144321382708*Sqrt[70]*lu1^9*f22n[t]*f44n[t]*g22[t] + 2639219465230788809411952*Sqrt[70]*lu1^10*f22n[t]*f44n[t]*g22[t] - 1088325441269442228454368*Sqrt[70]*lu1^11*f22n[t]*f44n[t]*g22[t] - 17224546676862722420995200*Sqrt[70]*lu1^12*f22n[t]*f44n[t]*g22[t] - 23791790191559241473668800*Sqrt[70]*lu1^13*f22n[t]*f44n[t]*g22[t] - 14325685122630944069280000*Sqrt[70]*lu1^14*f22n[t]*f44n[t]*g22[t] - 6590791938841648050240000*Sqrt[70]*lu1^15*f22n[t]*f44n[t]*g22[t] - 10648232451090*Sqrt[210]*f42n[t]*f44n[t]*g22[t] + 336055346332524*Sqrt[210]*lu1*f42n[t]*f44n[t]*g22[t] + 31566301517369268*Sqrt[210]*lu1^2*f42n[t]*f44n[t]*g22[t] - 680505920140700160*Sqrt[210]*lu1^3*f42n[t]*f44n[t]*g22[t] - 24071846203614030432*Sqrt[210]*lu1^4*f42n[t]*f44n[t]*g22[t] + 248177325510502650912*Sqrt[210]*lu1^5*f42n[t]*f44n[t]*g22[t] + 6802032172060855924116*Sqrt[210]*lu1^6*f42n[t]*f44n[t]*g22[t] - 5256909262270858081344*Sqrt[210]*lu1^7*f42n[t]*f44n[t]*g22[t] - 649488950889374275220190*Sqrt[210]*lu1^8*f42n[t]*f44n[t]*g22[t] - 4228183193592997210679484*Sqrt[210]*lu1^9*f42n[t]*f44n[t]*g22[t] - 12689783590913759578638936*Sqrt[210]*lu1^10*f42n[t]*f44n[t]*g22[t] - 13119900018395475905390544*Sqrt[210]*lu1^11*f42n[t]*f44n[t]*g22[t] + 17848690685340364247480160*Sqrt[210]*lu1^12*f42n[t]*f44n[t]*g22[t] + 43128218843780316611352000*Sqrt[210]*lu1^13*f42n[t]*f44n[t]*g22[t] + 27976448339181684079920000*Sqrt[210]*lu1^14*f42n[t]*f44n[t]*g22[t] + 10350127750029025140000000*Sqrt[210]*lu1^15*f42n[t]*f44n[t]*g22[t] + 4772383257096*f22n[t]*f40[t]*g22n[t] - 185521293987120*lu1*f22n[t]* f40[t]*g22n[t] - 5810496023729124*lu1^2*f22n[t]*f40[t]*g22n[t] + 203676589772566092*lu1^3*f22n[t]*f40[t]*g22n[t] - 12584929969677628836*lu1^4*f22n[t]*f40[t]*g22n[t] + 181082773280368551228*lu1^5*f22n[t]*f40[t]*g22n[t] + 12224055594959619392436*lu1^6*f22n[t]*f40[t]*g22n[t] - 60460326996584849747868*lu1^7*f22n[t]*f40[t]*g22n[t] - 2145718633622416866132756*lu1^8*f22n[t]*f40[t]*g22n[t] - 6210514551921589134859452*lu1^9*f22n[t]*f40[t]*g22n[t] + 11616977978346280614870432*lu1^10*f22n[t]*f40[t]*g22n[t] + 99352760547368482589303232*lu1^11*f22n[t]*f40[t]*g22n[t] + 99669164200712579291058240*lu1^12*f22n[t]*f40[t]*g22n[t] - 199020525917951057322475200*lu1^13*f22n[t]*f40[t]*g22n[t] - 349791921133668231551424000*lu1^14*f22n[t]*f40[t]*g22n[t] - 117766867858648823505600000*lu1^15*f22n[t]*f40[t]*g22n[t] + 15214774686930*Sqrt[3]*f40[t]*f42n[t]*g22n[t] - 586805245282620*Sqrt[3]*lu1*f40[t]*f42n[t]*g22n[t] - 44582868209667060*Sqrt[3]*lu1^2*f40[t]*f42n[t]*g22n[t] + 1353211166566546560*Sqrt[3]*lu1^3*f40[t]*f42n[t]*g22n[t] + 36387651478724189280*Sqrt[3]*lu1^4*f40[t]*f42n[t]*g22n[t] - 695435881020524891520*Sqrt[3]*lu1^5*f40[t]*f42n[t]*g22n[t] - 13791357935605260983700*Sqrt[3]*lu1^6*f40[t]*f42n[t]*g22n[t] + 74968077509799228343680*Sqrt[3]*lu1^7*f40[t]*f42n[t]*g22n[t] + 1869678211469586667146270*Sqrt[3]*lu1^8*f40[t]*f42n[t]*g22n[t] + 7723984460288631350257260*Sqrt[3]*lu1^9*f40[t]*f42n[t]*g22n[t] + 15395672669215037692223640*Sqrt[3]*lu1^10*f40[t]*f42n[t]*g22n[t] + 6315368705140127810420880*Sqrt[3]*lu1^11*f40[t]*f42n[t]*g22n[t] - 31243310283388241180469600*Sqrt[3]*lu1^12*f40[t]*f42n[t]*g22n[t] - 21724728324863665358712000*Sqrt[3]*lu1^13*f40[t]*f42n[t]*g22n[t] + 2663979809871022078800000*Sqrt[3]*lu1^14*f40[t]*f42n[t]*g22n[t] - 19241331006486968215200000*Sqrt[3]*lu1^15*f40[t]*f42n[t]*g22n[t] - 2222521317666*Sqrt[70]*f22n[t]*f44[t]*g22n[t] + 63801671751090*Sqrt[70]*lu1*f22n[t]*f44[t]*g22n[t] + 6326288145518094*Sqrt[70]*lu1^2*f22n[t]*f44[t]*g22n[t] - 113432643396683442*Sqrt[70]*lu1^3*f22n[t]*f44[t]*g22n[t] - 3878798670946654494*Sqrt[70]*lu1^4*f22n[t]*f44[t]*g22n[t] + 19703149054575846522*Sqrt[70]*lu1^5*f22n[t]*f44[t]*g22n[t] + 254095830924762172554*Sqrt[70]*lu1^6*f22n[t]*f44[t]*g22n[t] + 7502324123723148333978*Sqrt[70]*lu1^7*f22n[t]*f44[t]*g22n[t] + 63933126724452190924056*Sqrt[70]*lu1^8*f22n[t]*f44[t]*g22n[t] - 533447002703144321382708*Sqrt[70]*lu1^9*f22n[t]*f44[t]*g22n[t] - 2639219465230788809411952*Sqrt[70]*lu1^10*f22n[t]*f44[t]*g22n[t] + 1088325441269442228454368*Sqrt[70]*lu1^11*f22n[t]*f44[t]*g22n[t] + 17224546676862722420995200*Sqrt[70]*lu1^12*f22n[t]*f44[t]*g22n[t] + 23791790191559241473668800*Sqrt[70]*lu1^13*f22n[t]*f44[t]*g22n[t] + 14325685122630944069280000*Sqrt[70]*lu1^14*f22n[t]*f44[t]*g22n[t] + 6590791938841648050240000*Sqrt[70]*lu1^15*f22n[t]*f44[t]*g22n[t] + 10648232451090*Sqrt[210]*f42n[t]*f44[t]*g22n[t] - 336055346332524*Sqrt[210]*lu1*f42n[t]*f44[t]*g22n[t] - 31566301517369268*Sqrt[210]*lu1^2*f42n[t]*f44[t]*g22n[t] + 680505920140700160*Sqrt[210]*lu1^3*f42n[t]*f44[t]*g22n[t] + 24071846203614030432*Sqrt[210]*lu1^4*f42n[t]*f44[t]*g22n[t] - 248177325510502650912*Sqrt[210]*lu1^5*f42n[t]*f44[t]*g22n[t] - 6802032172060855924116*Sqrt[210]*lu1^6*f42n[t]*f44[t]*g22n[t] + 5256909262270858081344*Sqrt[210]*lu1^7*f42n[t]*f44[t]*g22n[t] + 649488950889374275220190*Sqrt[210]*lu1^8*f42n[t]*f44[t]*g22n[t] + 4228183193592997210679484*Sqrt[210]*lu1^9*f42n[t]*f44[t]*g22n[t] + 12689783590913759578638936*Sqrt[210]*lu1^10*f42n[t]*f44[t]*g22n[t] + 13119900018395475905390544*Sqrt[210]*lu1^11*f42n[t]*f44[t]*g22n[t] - 17848690685340364247480160*Sqrt[210]*lu1^12*f42n[t]*f44[t]*g22n[t] - 43128218843780316611352000*Sqrt[210]*lu1^13*f42n[t]*f44[t]*g22n[t] - 27976448339181684079920000*Sqrt[210]*lu1^14*f42n[t]*f44[t]*g22n[t] - 10350127750029025140000000*Sqrt[210]*lu1^15*f42n[t]*f44[t]*g22n[t] - 10648232451090*Sqrt[210]*f42[t]*f44n[t]*g22n[t] + 336055346332524*Sqrt[210]*lu1*f42[t]*f44n[t]*g22n[t] + 31566301517369268*Sqrt[210]*lu1^2*f42[t]*f44n[t]*g22n[t] - 680505920140700160*Sqrt[210]*lu1^3*f42[t]*f44n[t]*g22n[t] - 24071846203614030432*Sqrt[210]*lu1^4*f42[t]*f44n[t]*g22n[t] + 248177325510502650912*Sqrt[210]*lu1^5*f42[t]*f44n[t]*g22n[t] + 6802032172060855924116*Sqrt[210]*lu1^6*f42[t]*f44n[t]*g22n[t] - 5256909262270858081344*Sqrt[210]*lu1^7*f42[t]*f44n[t]*g22n[t] - 649488950889374275220190*Sqrt[210]*lu1^8*f42[t]*f44n[t]*g22n[t] - 4228183193592997210679484*Sqrt[210]*lu1^9*f42[t]*f44n[t]*g22n[t] - 12689783590913759578638936*Sqrt[210]*lu1^10*f42[t]*f44n[t]*g22n[t] - 13119900018395475905390544*Sqrt[210]*lu1^11*f42[t]*f44n[t]*g22n[t] + 17848690685340364247480160*Sqrt[210]*lu1^12*f42[t]*f44n[t]*g22n[t] + 43128218843780316611352000*Sqrt[210]*lu1^13*f42[t]*f44n[t]*g22n[t] + 27976448339181684079920000*Sqrt[210]*lu1^14*f42[t]*f44n[t]*g22n[t] + 10350127750029025140000000*Sqrt[210]*lu1^15*f42[t]*f44n[t]*g22n[t] + 10154946122334*f22n[t]^2*g40[t] - 195494005709730*lu1*f22n[t]^2* g40[t] - 26422266569853726*lu1^2*f22n[t]^2*g40[t] + 114033075142141818*lu1^3*f22n[t]^2*g40[t] + 8487197522049439206*lu1^4* f22n[t]^2*g40[t] + 268282697189300368302*lu1^5*f22n[t]^2*g40[t] + 4604918509087839883174*lu1^6*f22n[t]^2*g40[t] - 48972658258498159969602*lu1^7*f22n[t]^2*g40[t] - 160083457051722061658684*lu1^8*f22n[t]^2*g40[t] + 629221115313833741448412*lu1^9*f22n[t]^2*g40[t] + 3656294640206102198360368*lu1^10*f22n[t]^2*g40[t] + 5055042531122087075966368*lu1^11*f22n[t]^2*g40[t] - 5634047116348301132389440*lu1^12*f22n[t]^2*g40[t] - 22694261756501581014267200*lu1^13*f22n[t]^2*g40[t] - 21523892545386443485728000*lu1^14*f22n[t]^2*g40[t] - 7346501795137519909440000*lu1^15*f22n[t]^2*g40[t] + 68793330937545*f40[t]^2*g40[t] - 308924856794925*lu1*f40[t]^2* g40[t] - 189585104504467365*lu1^2*f40[t]^2*g40[t] - 2565845328264410205*lu1^3*f40[t]^2*g40[t] + 109810898109171242505* lu1^4*f40[t]^2*g40[t] + 2756502579772255395165*lu1^5*f40[t]^2* g40[t] - 9293717744742776141935*lu1^6*f40[t]^2*g40[t] - 263248645413500382809775*lu1^7*f40[t]^2*g40[t] + 2219115349686226119290*lu1^8*f40[t]^2*g40[t] - 3157149880635629555388340*lu1^9*f40[t]^2*g40[t] + 24251610544924524104009000*lu1^10*f40[t]^2*g40[t] + 219180166595315517636955280*lu1^11*f40[t]^2*g40[t] + 382740935063655520152891360*lu1^12*f40[t]^2*g40[t] - 7638076467988432233361600*lu1^13*f40[t]^2*g40[t] - 410286959206669586435184000*lu1^14*f40[t]^2*g40[t] - 196539153239042882976960000*lu1^15*f40[t]^2*g40[t] + 90955305654480*f42[t]^2*g40[t] - 1135104810902370*lu1*f42[t]^2* g40[t] - 275639075630209440*lu1^2*f42[t]^2*g40[t] - 938183236116896250*lu1^3*f42[t]^2*g40[t] + 225767531977469740980* lu1^4*f42[t]^2*g40[t] + 2816332687522235109270*lu1^5*f42[t]^2* g40[t] - 33208030869261792922640*lu1^6*f42[t]^2*g40[t] - 590951327780047700377590*lu1^7*f42[t]^2*g40[t] - 633227267092792214564300*lu1^8*f42[t]^2*g40[t] + 14147065686747031971104860*lu1^9*f42[t]^2*g40[t] + 68976584604880150251419320*lu1^10*f42[t]^2*g40[t] + 153160467324464030676469600*lu1^11*f42[t]^2*g40[t] + 169001565033467646191854080*lu1^12*f42[t]^2*g40[t] - 9172444301865350463176000*lu1^13*f42[t]^2*g40[t] - 212263660266421633046352000*lu1^14*f42[t]^2*g40[t] - 133746005351282314858560000*lu1^15*f42[t]^2*g40[t] + 11615275797840*Sqrt[3]*f22n[t]*f42n[t]*g40[t] - 24011010313290*Sqrt[3]*lu1*f22n[t]*f42n[t]*g40[t] - 35035373232931500*Sqrt[3]*lu1^2*f22n[t]*f42n[t]*g40[t] - 426492686698817310*Sqrt[3]*lu1^3*f22n[t]*f42n[t]*g40[t] + 15950574360726291000*Sqrt[3]*lu1^4*f22n[t]*f42n[t]*g40[t] + 608634749574264583170*Sqrt[3]*lu1^5*f22n[t]*f42n[t]*g40[t] + 7073383914297418000140*Sqrt[3]*lu1^6*f22n[t]*f42n[t]*g40[t] - 44766550143217688836050*Sqrt[3]*lu1^7*f22n[t]*f42n[t]*g40[t] - 361669935185276447077920*Sqrt[3]*lu1^8*f22n[t]*f42n[t]*g40[t] - 1186055016611428423488600*Sqrt[3]*lu1^9*f22n[t]*f42n[t]*g40[t] + 8427269452099804661492280*Sqrt[3]*lu1^10*f22n[t]*f42n[t]*g40[t] + 40095725329585390035439440*Sqrt[3]*lu1^11*f22n[t]*f42n[t]*g40[t] + 24499694066363052955704000*Sqrt[3]*lu1^12*f22n[t]*f42n[t]*g40[t] - 69465087302174371790611200*Sqrt[3]*lu1^13*f22n[t]*f42n[t]*g40[t] - 80940950244039698821008000*Sqrt[3]*lu1^14*f22n[t]*f42n[t]*g40[t] - 15776517323450272989600000*Sqrt[3]*lu1^15*f22n[t]*f42n[t]*g40[t] + 90955305654480*f42n[t]^2*g40[t] - 1135104810902370*lu1*f42n[t]^2* g40[t] - 275639075630209440*lu1^2*f42n[t]^2*g40[t] - 938183236116896250*lu1^3*f42n[t]^2*g40[t] + 225767531977469740980* lu1^4*f42n[t]^2*g40[t] + 2816332687522235109270*lu1^5*f42n[t]^2* g40[t] - 33208030869261792922640*lu1^6*f42n[t]^2*g40[t] - 590951327780047700377590*lu1^7*f42n[t]^2*g40[t] - 633227267092792214564300*lu1^8*f42n[t]^2*g40[t] + 14147065686747031971104860*lu1^9*f42n[t]^2*g40[t] + 68976584604880150251419320*lu1^10*f42n[t]^2*g40[t] + 153160467324464030676469600*lu1^11*f42n[t]^2*g40[t] + 169001565033467646191854080*lu1^12*f42n[t]^2*g40[t] - 9172444301865350463176000*lu1^13*f42n[t]^2*g40[t] - 212263660266421633046352000*lu1^14*f42n[t]^2*g40[t] - 133746005351282314858560000*lu1^15*f42n[t]^2*g40[t] + 93542158691730*f44[t]^2*g40[t] + 40792454087490*lu1*f44[t]^2*g40[t] - 214585528259324250*lu1^2*f44[t]^2*g40[t] - 4455901894473575910*lu1^3* f44[t]^2*g40[t] - 22885866349976589750*lu1^4*f44[t]^2*g40[t] + 3663209743742428227390*lu1^5*f44[t]^2*g40[t] + 37269895062438211003810*lu1^6*f44[t]^2*g40[t] - 277077188274252669327570*lu1^7*f44[t]^2*g40[t] - 2368446425304641072460020*lu1^8*f44[t]^2*g40[t] + 2171385532364802269047000*lu1^9*f44[t]^2*g40[t] + 43702052478537327945846160*lu1^10*f44[t]^2*g40[t] + 94243543498122153536097760*lu1^11*f44[t]^2*g40[t] + 17066389824503890881917760*lu1^12*f44[t]^2*g40[t] - 171730749910192940168777600*lu1^13*f44[t]^2*g40[t] - 217442086752087005762016000*lu1^14*f44[t]^2*g40[t] - 76758443109814288152960000*lu1^15*f44[t]^2*g40[t] + 93542158691730*f44n[t]^2*g40[t] + 40792454087490*lu1*f44n[t]^2* g40[t] - 214585528259324250*lu1^2*f44n[t]^2*g40[t] - 4455901894473575910*lu1^3*f44n[t]^2*g40[t] - 22885866349976589750* lu1^4*f44n[t]^2*g40[t] + 3663209743742428227390*lu1^5*f44n[t]^2* g40[t] + 37269895062438211003810*lu1^6*f44n[t]^2*g40[t] - 277077188274252669327570*lu1^7*f44n[t]^2*g40[t] - 2368446425304641072460020*lu1^8*f44n[t]^2*g40[t] + 2171385532364802269047000*lu1^9*f44n[t]^2*g40[t] + 43702052478537327945846160*lu1^10*f44n[t]^2*g40[t] + 94243543498122153536097760*lu1^11*f44n[t]^2*g40[t] + 17066389824503890881917760*lu1^12*f44n[t]^2*g40[t] - 171730749910192940168777600*lu1^13*f44n[t]^2*g40[t] - 217442086752087005762016000*lu1^14*f44n[t]^2*g40[t] - 76758443109814288152960000*lu1^15*f44n[t]^2*g40[t] + 221*(-27 + 279*lu1 + 62256*lu1^2 + 123524*lu1^3 + 54768*lu1^4)* f20[t]^2*(6*(706409784 - 38715707517*lu1 + 486104680932*lu1^2 + 4775778489839*lu1^3 - 221369557906728*lu1^4 + 3247623867540329* lu1^5 + 2775281225127884*lu1^6 - 208019647805129827*lu1^7 + 1593555626980160*lu1^8 + 686438352091515000*lu1^9 + 2249845033510544000*lu1^10 + 2387188262532570000*lu1^11)*f40[t] - 1287*Sqrt[5]*(154737 - 4244406*lu1 - 100928189*lu1^2 + 2363758352*lu1^3 + 3995918671*lu1^4 - 103821899598*lu1^5 + 503794328517*lu1^6 - 13396589545356*lu1^7 - 18715489639480* lu1^8 + 317753760671200*lu1^9 + 192552538418000*lu1^10 + 174810090840000*lu1^11)*g20[t] - 2*(516666168 - 8806192524*lu1 - 117864272571*lu1^2 - 2460891760987*lu1^3 - 61768434419676*lu1^4 + 970490956519298*lu1^5 + 509901765184133*lu1^6 - 25936591183810639*lu1^7 + 12616895586514370*lu1^8 + 99877803035585700*lu1^9 + 90196618795013000*lu1^10 + 243681442200420000*lu1^11)*g40[t]) + 30144766508010*f40[t]*f42[t]* g42[t] - 874658151763200*lu1*f40[t]*f42[t]*g42[t] - 139758999937237170*lu1^2*f40[t]*f42[t]*g42[t] + 577010080066197960*lu1^3*f40[t]*f42[t]*g42[t] + 290160577254234854790*lu1^4*f40[t]*f42[t]*g42[t] + 864339826583338606620*lu1^5*f40[t]*f42[t]*g42[t] - 93569403900876786969030*lu1^6*f40[t]*f42[t]*g42[t] - 336326475473833498491600*lu1^7*f40[t]*f42[t]*g42[t] + 3529059708640258650427920*lu1^8*f40[t]*f42[t]*g42[t] - 5515926724117730382395220*lu1^9*f40[t]*f42[t]*g42[t] + 15084140738768639166699000*lu1^10*f40[t]*f42[t]*g42[t] + 412220561533952319931083840*lu1^11*f40[t]*f42[t]*g42[t] + 869317171795578843554374080*lu1^12*f40[t]*f42[t]*g42[t] + 151347950051703665013432000*lu1^13*f40[t]*f42[t]*g42[t] - 707560415415649154309328000*lu1^14*f40[t]*f42[t]*g42[t] - 336175069743619808708160000*lu1^15*f40[t]*f42[t]*g42[t] + 895765653630*Sqrt[70]*f42[t]*f44[t]*g42[t] - 115872603077196*Sqrt[70]* lu1*f42[t]*f44[t]*g42[t] - 9105463769161734*Sqrt[70]*lu1^2*f42[t]* f44[t]*g42[t] + 294642231630354036*Sqrt[70]*lu1^3*f42[t]*f44[t]* g42[t] + 24332995692915370938*Sqrt[70]*lu1^4*f42[t]*f44[t]*g42[t] - 12318327349272588672*Sqrt[70]*lu1^5*f42[t]*f44[t]*g42[t] - 4822156676569741276050*Sqrt[70]*lu1^6*f42[t]*f44[t]*g42[t] - 28422212550283540502892*Sqrt[70]*lu1^7*f42[t]*f44[t]*g42[t] + 99210042141104572982712*Sqrt[70]*lu1^8*f42[t]*f44[t]*g42[t] + 1114098425970683594741316*Sqrt[70]*lu1^9*f42[t]*f44[t]*g42[t] + 2007120346371443785963176*Sqrt[70]*lu1^10*f42[t]*f44[t]*g42[t] + 895896565172491256619264*Sqrt[70]*lu1^11*f42[t]*f44[t]*g42[t] + 7001017895929712538520512*Sqrt[70]*lu1^12*f42[t]*f44[t]*g42[t] + 19015804662881359739664960*Sqrt[70]*lu1^13*f42[t]*f44[t]*g42[t] + 9542841634452927213302400*Sqrt[70]*lu1^14*f42[t]*f44[t]*g42[t] - 4810989423995060402880000*Sqrt[70]*lu1^15*f42[t]*f44[t]*g42[t] - 3855867774174*Sqrt[210]*f22n[t]*f44n[t]*g42[t] + 49415701871718*Sqrt[210]*lu1*f22n[t]*f44n[t]*g42[t] + 9926083227024432*Sqrt[210]*lu1^2*f22n[t]*f44n[t]*g42[t] + 33900768672404166*Sqrt[210]*lu1^3*f22n[t]*f44n[t]*g42[t] - 2616824601261471744*Sqrt[210]*lu1^4*f22n[t]*f44n[t]*g42[t] - 134069429120226808026*Sqrt[210]*lu1^5*f22n[t]*f44n[t]*g42[t] - 1445262027496368149640*Sqrt[210]*lu1^6*f22n[t]*f44n[t]*g42[t] + 15648151135917482366730*Sqrt[210]*lu1^7*f22n[t]*f44n[t]*g42[t] + 84536021397772615050822*Sqrt[210]*lu1^8*f22n[t]*f44n[t]*g42[t] - 259795127069634928186428*Sqrt[210]*lu1^9*f22n[t]*f44n[t]*g42[t] - 1797971696779769007812016*Sqrt[210]*lu1^10*f22n[t]*f44n[t]*g42[t] - 1749347372124590438976672*Sqrt[210]*lu1^11*f22n[t]*f44n[t]*g42[t] + 4737554352075069184219872*Sqrt[210]*lu1^12*f22n[t]*f44n[t]*g42[t] + 12256885956809721624970560*Sqrt[210]*lu1^13*f22n[t]*f44n[t]*g42[t] + 11285933474680704623347200*Sqrt[210]*lu1^14*f22n[t]*f44n[t]*g42[t] + 4732688977847536829760000*Sqrt[210]*lu1^15*f22n[t]*f44n[t]*g42[t] + 895765653630*Sqrt[70]*f42n[t]*f44n[t]*g42[t] - 115872603077196*Sqrt[70]*lu1*f42n[t]*f44n[t]*g42[t] - 9105463769161734*Sqrt[70]*lu1^2*f42n[t]*f44n[t]*g42[t] + 294642231630354036*Sqrt[70]*lu1^3*f42n[t]*f44n[t]*g42[t] + 24332995692915370938*Sqrt[70]*lu1^4*f42n[t]*f44n[t]*g42[t] - 12318327349272588672*Sqrt[70]*lu1^5*f42n[t]*f44n[t]*g42[t] - 4822156676569741276050*Sqrt[70]*lu1^6*f42n[t]*f44n[t]*g42[t] - 28422212550283540502892*Sqrt[70]*lu1^7*f42n[t]*f44n[t]*g42[t] + 99210042141104572982712*Sqrt[70]*lu1^8*f42n[t]*f44n[t]*g42[t] + 1114098425970683594741316*Sqrt[70]*lu1^9*f42n[t]*f44n[t]*g42[t] + 2007120346371443785963176*Sqrt[70]*lu1^10*f42n[t]*f44n[t]*g42[t] + 895896565172491256619264*Sqrt[70]*lu1^11*f42n[t]*f44n[t]*g42[t] + 7001017895929712538520512*Sqrt[70]*lu1^12*f42n[t]*f44n[t]*g42[t] + 19015804662881359739664960*Sqrt[70]*lu1^13*f42n[t]*f44n[t]*g42[t] + 9542841634452927213302400*Sqrt[70]*lu1^14*f42n[t]*f44n[t]*g42[t] - 4810989423995060402880000*Sqrt[70]*lu1^15*f42n[t]*f44n[t]*g42[t] - 1702031197230*Sqrt[3]*f22n[t]*f40[t]*g42n[t] - 73289178479790*Sqrt[3]* lu1*f22n[t]*f40[t]*g42n[t] + 8524130864361840*Sqrt[3]*lu1^2*f22n[t]* f40[t]*g42n[t] + 259564741246227690*Sqrt[3]*lu1^3*f22n[t]*f40[t]* g42n[t] - 8725655180386708200*Sqrt[3]*lu1^4*f22n[t]*f40[t]*g42n[t] - 207268526277372506310*Sqrt[3]*lu1^5*f22n[t]*f40[t]*g42n[t] - 576226801132749060840*Sqrt[3]*lu1^6*f22n[t]*f40[t]*g42n[t] + 9704456762665618456230*Sqrt[3]*lu1^7*f22n[t]*f40[t]*g42n[t] - 44568557101270534520370*Sqrt[3]*lu1^8*f22n[t]*f40[t]*g42n[t] + 762165825089667797225700*Sqrt[3]*lu1^9*f22n[t]*f40[t]*g42n[t] - 265505684741941536328800*Sqrt[3]*lu1^10*f22n[t]*f40[t]*g42n[t] - 10626322579604682795237120*Sqrt[3]*lu1^11*f22n[t]*f40[t]*g42n[t] - 6419787922526766668244000*Sqrt[3]*lu1^12*f22n[t]*f40[t]*g42n[t] + 18324687618245810923867200*Sqrt[3]*lu1^13*f22n[t]*f40[t]*g42n[t] + 4924496786152441007328000*Sqrt[3]*lu1^14*f22n[t]*f40[t]*g42n[t] - 10352457460487197036800000*Sqrt[3]*lu1^15*f22n[t]*f40[t]*g42n[t] + 30144766508010*f40[t]*f42n[t]*g42n[t] - 874658151763200*lu1*f40[t]* f42n[t]*g42n[t] - 139758999937237170*lu1^2*f40[t]*f42n[t]*g42n[t] + 577010080066197960*lu1^3*f40[t]*f42n[t]*g42n[t] + 290160577254234854790*lu1^4*f40[t]*f42n[t]*g42n[t] + 864339826583338606620*lu1^5*f40[t]*f42n[t]*g42n[t] - 93569403900876786969030*lu1^6*f40[t]*f42n[t]*g42n[t] - 336326475473833498491600*lu1^7*f40[t]*f42n[t]*g42n[t] + 3529059708640258650427920*lu1^8*f40[t]*f42n[t]*g42n[t] - 5515926724117730382395220*lu1^9*f40[t]*f42n[t]*g42n[t] + 15084140738768639166699000*lu1^10*f40[t]*f42n[t]*g42n[t] + 412220561533952319931083840*lu1^11*f40[t]*f42n[t]*g42n[t] + 869317171795578843554374080*lu1^12*f40[t]*f42n[t]*g42n[t] + 151347950051703665013432000*lu1^13*f40[t]*f42n[t]*g42n[t] - 707560415415649154309328000*lu1^14*f40[t]*f42n[t]*g42n[t] - 336175069743619808708160000*lu1^15*f40[t]*f42n[t]*g42n[t] + 3855867774174*Sqrt[210]*f22n[t]*f44[t]*g42n[t] - 49415701871718*Sqrt[210]*lu1*f22n[t]*f44[t]*g42n[t] - 9926083227024432*Sqrt[210]*lu1^2*f22n[t]*f44[t]*g42n[t] - 33900768672404166*Sqrt[210]*lu1^3*f22n[t]*f44[t]*g42n[t] + 2616824601261471744*Sqrt[210]*lu1^4*f22n[t]*f44[t]*g42n[t] + 134069429120226808026*Sqrt[210]*lu1^5*f22n[t]*f44[t]*g42n[t] + 1445262027496368149640*Sqrt[210]*lu1^6*f22n[t]*f44[t]*g42n[t] - 15648151135917482366730*Sqrt[210]*lu1^7*f22n[t]*f44[t]*g42n[t] - 84536021397772615050822*Sqrt[210]*lu1^8*f22n[t]*f44[t]*g42n[t] + 259795127069634928186428*Sqrt[210]*lu1^9*f22n[t]*f44[t]*g42n[t] + 1797971696779769007812016*Sqrt[210]*lu1^10*f22n[t]*f44[t]*g42n[t] + 1749347372124590438976672*Sqrt[210]*lu1^11*f22n[t]*f44[t]*g42n[t] - 4737554352075069184219872*Sqrt[210]*lu1^12*f22n[t]*f44[t]*g42n[t] - 12256885956809721624970560*Sqrt[210]*lu1^13*f22n[t]*f44[t]*g42n[t] - 11285933474680704623347200*Sqrt[210]*lu1^14*f22n[t]*f44[t]*g42n[t] - 4732688977847536829760000*Sqrt[210]*lu1^15*f22n[t]*f44[t]*g42n[t] - 895765653630*Sqrt[70]*f42n[t]*f44[t]*g42n[t] + 115872603077196*Sqrt[70]*lu1*f42n[t]*f44[t]*g42n[t] + 9105463769161734*Sqrt[70]*lu1^2*f42n[t]*f44[t]*g42n[t] - 294642231630354036*Sqrt[70]*lu1^3*f42n[t]*f44[t]*g42n[t] - 24332995692915370938*Sqrt[70]*lu1^4*f42n[t]*f44[t]*g42n[t] + 12318327349272588672*Sqrt[70]*lu1^5*f42n[t]*f44[t]*g42n[t] + 4822156676569741276050*Sqrt[70]*lu1^6*f42n[t]*f44[t]*g42n[t] + 28422212550283540502892*Sqrt[70]*lu1^7*f42n[t]*f44[t]*g42n[t] - 99210042141104572982712*Sqrt[70]*lu1^8*f42n[t]*f44[t]*g42n[t] - 1114098425970683594741316*Sqrt[70]*lu1^9*f42n[t]*f44[t]*g42n[t] - 2007120346371443785963176*Sqrt[70]*lu1^10*f42n[t]*f44[t]*g42n[t] - 895896565172491256619264*Sqrt[70]*lu1^11*f42n[t]*f44[t]*g42n[t] - 7001017895929712538520512*Sqrt[70]*lu1^12*f42n[t]*f44[t]*g42n[t] - 19015804662881359739664960*Sqrt[70]*lu1^13*f42n[t]*f44[t]*g42n[t] - 9542841634452927213302400*Sqrt[70]*lu1^14*f42n[t]*f44[t]*g42n[t] + 4810989423995060402880000*Sqrt[70]*lu1^15*f42n[t]*f44[t]*g42n[t] + 895765653630*Sqrt[70]*f42[t]*f44n[t]*g42n[t] - 115872603077196*Sqrt[70]*lu1*f42[t]*f44n[t]*g42n[t] - 9105463769161734*Sqrt[70]*lu1^2*f42[t]*f44n[t]*g42n[t] + 294642231630354036*Sqrt[70]*lu1^3*f42[t]*f44n[t]*g42n[t] + 24332995692915370938*Sqrt[70]*lu1^4*f42[t]*f44n[t]*g42n[t] - 12318327349272588672*Sqrt[70]*lu1^5*f42[t]*f44n[t]*g42n[t] - 4822156676569741276050*Sqrt[70]*lu1^6*f42[t]*f44n[t]*g42n[t] - 28422212550283540502892*Sqrt[70]*lu1^7*f42[t]*f44n[t]*g42n[t] + 99210042141104572982712*Sqrt[70]*lu1^8*f42[t]*f44n[t]*g42n[t] + 1114098425970683594741316*Sqrt[70]*lu1^9*f42[t]*f44n[t]*g42n[t] + 2007120346371443785963176*Sqrt[70]*lu1^10*f42[t]*f44n[t]*g42n[t] + 895896565172491256619264*Sqrt[70]*lu1^11*f42[t]*f44n[t]*g42n[t] + 7001017895929712538520512*Sqrt[70]*lu1^12*f42[t]*f44n[t]*g42n[t] + 19015804662881359739664960*Sqrt[70]*lu1^13*f42[t]*f44n[t]*g42n[t] + 9542841634452927213302400*Sqrt[70]*lu1^14*f42[t]*f44n[t]*g42n[t] - 4810989423995060402880000*Sqrt[70]*lu1^15*f42[t]*f44n[t]*g42n[t] - 705059061174*Sqrt[70]*f22n[t]^2*g44[t] + 12790896226290*Sqrt[70]*lu1* f22n[t]^2*g44[t] + 1942716113752986*Sqrt[70]*lu1^2*f22n[t]^2* g44[t] - 8418075276264498*Sqrt[70]*lu1^3*f22n[t]^2*g44[t] - 826258169988049266*Sqrt[70]*lu1^4*f22n[t]^2*g44[t] - 15736021891353563982*Sqrt[70]*lu1^5*f22n[t]^2*g44[t] - 262902711884583989634*Sqrt[70]*lu1^6*f22n[t]^2*g44[t] + 3073890860746333575402*Sqrt[70]*lu1^7*f22n[t]^2*g44[t] + 9175985851018161967584*Sqrt[70]*lu1^8*f22n[t]^2*g44[t] - 36964123557379114183932*Sqrt[70]*lu1^9*f22n[t]^2*g44[t] - 243492530019444143385168*Sqrt[70]*lu1^10*f22n[t]^2*g44[t] - 485095565636877613280928*Sqrt[70]*lu1^11*f22n[t]^2*g44[t] + 792646279710816101001600*Sqrt[70]*lu1^12*f22n[t]^2*g44[t] + 4357098151083296811865920*Sqrt[70]*lu1^13*f22n[t]^2*g44[t] + 5012351508802442958316800*Sqrt[70]*lu1^14*f22n[t]^2*g44[t] + 1540428260474603223360000*Sqrt[70]*lu1^15*f22n[t]^2*g44[t] - 2308901914710*Sqrt[70]*f42[t]^2*g44[t] - 3434246843580*Sqrt[70]*lu1* f42[t]^2*g44[t] + 6000218064146430*Sqrt[70]*lu1^2*f42[t]^2*g44[t] + 114259268410627860*Sqrt[70]*lu1^3*f42[t]^2*g44[t] + 1064688279658524270*Sqrt[70]*lu1^4*f42[t]^2*g44[t] - 144738756545493446280*Sqrt[70]*lu1^5*f42[t]^2*g44[t] - 4451271833200518233190*Sqrt[70]*lu1^6*f42[t]^2*g44[t] - 5930402800591925204220*Sqrt[70]*lu1^7*f42[t]^2*g44[t] + 148623747360160625613720*Sqrt[70]*lu1^8*f42[t]^2*g44[t] + 166939178935078750928940*Sqrt[70]*lu1^9*f42[t]^2*g44[t] + 1040665732525676889188280*Sqrt[70]*lu1^10*f42[t]^2*g44[t] + 9991591634923392914835840*Sqrt[70]*lu1^11*f42[t]^2*g44[t] + 16384999249933325984946240*Sqrt[70]*lu1^12*f42[t]^2*g44[t] - 5519948204097201538209600*Sqrt[70]*lu1^13*f42[t]^2*g44[t] - 18049997971772779883472000*Sqrt[70]*lu1^14*f42[t]^2*g44[t] - 1775533600303484535360000*Sqrt[70]*lu1^15*f42[t]^2*g44[t] + 2838256608564*Sqrt[210]*f22n[t]*f42n[t]*g44[t] - 40441918757058*Sqrt[210]*lu1*f22n[t]*f42n[t]*g44[t] - 8369856261589212*Sqrt[210]*lu1^2*f22n[t]*f42n[t]*g44[t] + 11045650800548754*Sqrt[210]*lu1^3*f22n[t]*f42n[t]*g44[t] + 4732866997662720384*Sqrt[210]*lu1^4*f22n[t]*f42n[t]*g44[t] + 62509348418495247906*Sqrt[210]*lu1^5*f22n[t]*f42n[t]*g44[t] + 87788986061785838700*Sqrt[210]*lu1^6*f22n[t]*f42n[t]*g44[t] - 8227167327366247688610*Sqrt[210]*lu1^7*f22n[t]*f42n[t]*g44[t] - 15508008990035740463532*Sqrt[210]*lu1^8*f22n[t]*f42n[t]*g44[t] + 29478029095323652516608*Sqrt[210]*lu1^9*f22n[t]*f42n[t]*g44[t] + 854090251553065323464616*Sqrt[210]*lu1^10*f22n[t]*f42n[t]*g44[t] + 4008647002409666393882352*Sqrt[210]*lu1^11*f22n[t]*f42n[t]*g44[t] + 1881590477817923744546688*Sqrt[210]*lu1^12*f22n[t]*f42n[t]*g44[t] - 15298208406968394051730560*Sqrt[210]*lu1^13*f22n[t]*f42n[t]*g44[t] - 22225164148638347653411200*Sqrt[210]*lu1^14*f22n[t]*f42n[t]*g44[t] - 6787180766285306281440000*Sqrt[210]*lu1^15*f22n[t]*f42n[t]*g44[t] + 2308901914710*Sqrt[70]*f42n[t]^2*g44[t] + 3434246843580*Sqrt[70]*lu1* f42n[t]^2*g44[t] - 6000218064146430*Sqrt[70]*lu1^2*f42n[t]^2* g44[t] - 114259268410627860*Sqrt[70]*lu1^3*f42n[t]^2*g44[t] - 1064688279658524270*Sqrt[70]*lu1^4*f42n[t]^2*g44[t] + 144738756545493446280*Sqrt[70]*lu1^5*f42n[t]^2*g44[t] + 4451271833200518233190*Sqrt[70]*lu1^6*f42n[t]^2*g44[t] + 5930402800591925204220*Sqrt[70]*lu1^7*f42n[t]^2*g44[t] - 148623747360160625613720*Sqrt[70]*lu1^8*f42n[t]^2*g44[t] - 166939178935078750928940*Sqrt[70]*lu1^9*f42n[t]^2*g44[t] - 1040665732525676889188280*Sqrt[70]*lu1^10*f42n[t]^2*g44[t] - 9991591634923392914835840*Sqrt[70]*lu1^11*f42n[t]^2*g44[t] - 16384999249933325984946240*Sqrt[70]*lu1^12*f42n[t]^2*g44[t] + 5519948204097201538209600*Sqrt[70]*lu1^13*f42n[t]^2*g44[t] + 18049997971772779883472000*Sqrt[70]*lu1^14*f42n[t]^2*g44[t] + 1775533600303484535360000*Sqrt[70]*lu1^15*f42n[t]^2*g44[t] + 62886319997760*f40[t]*f44[t]*g44[t] + 932115831266340*lu1*f40[t]* f44[t]*g44[t] - 123181404682739760*lu1^2*f40[t]*f44[t]*g44[t] - 6127808762601669780*lu1^3*f40[t]*f44[t]*g44[t] - 96128123732666194680*lu1^4*f40[t]*f44[t]*g44[t] + 3943889867732296362300*lu1^5*f40[t]*f44[t]*g44[t] + 67788382911679696835520*lu1^6*f40[t]*f44[t]*g44[t] + 208614768792258113136180*lu1^7*f40[t]*f44[t]*g44[t] - 931565870679522456587160*lu1^8*f40[t]*f44[t]*g44[t] - 25566186692379559322093760*lu1^9*f40[t]*f44[t]*g44[t] - 35835979107316555406514240*lu1^10*f40[t]*f44[t]*g44[t] + 198950280357897092785078080*lu1^11*f40[t]*f44[t]*g44[t] + 436601918357966635777641600*lu1^12*f40[t]*f44[t]*g44[t] - 23490155809572700317350400*lu1^13*f40[t]*f44[t]*g44[t] - 489703080496987464839424000*lu1^14*f40[t]*f44[t]*g44[t] - 228499556377624211957760000*lu1^15*f40[t]*f44[t]*g44[t] + 442*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]^2* (6*(1395712971 - 179094567681*lu1 + 4706336994114*lu1^2 + 41149475461056*lu1^3 - 2349975932338629*lu1^4 + 19307750861474579*lu1^5 + 98987023822771764*lu1^6 - 278781072114579934*lu1^7 + 1188063043474153916*lu1^8 - 1047343091281120276*lu1^9 - 6075841378170456520*lu1^10 + 16688265765798853200*lu1^11 + 34554526357625420000*lu1^12 + 12130229921622960000*lu1^13)*f40[t] + 6*Sqrt[70]* (338474511 - 16345806696*lu1 + 79346334564*lu1^2 + 5989156738781*lu1^3 - 150650849422439*lu1^4 + 1542644377086334* lu1^5 + 9714056102559594*lu1^6 - 92111338748541799*lu1^7 - 238896679507522654*lu1^8 + 673158157900005444*lu1^9 + 2966974662629035000*lu1^10 + 3429817113633582880*lu1^11 + 1850255654127507200*lu1^12 + 848736564533760000*lu1^13)*f44[t] + 680003181*Sqrt[5]*g20[t] - 18039619026*Sqrt[5]*lu1*g20[t] - 347403922866*Sqrt[5]*lu1^2*g20[t] + 7877127442041*Sqrt[5]*lu1^3* g20[t] - 69600574144959*Sqrt[5]*lu1^4*g20[t] + 577867136356224*Sqrt[5]*lu1^5*g20[t] + 16655800402456644*Sqrt[5]* lu1^6*g20[t] - 94688514058302879*Sqrt[5]*lu1^7*g20[t] - 415781115298424304*Sqrt[5]*lu1^8*g20[t] + 606757787577176664* Sqrt[5]*lu1^9*g20[t] + 2753610971645888640*Sqrt[5]*lu1^10*g20[t] + 3235175588607877200*Sqrt[5]*lu1^11*g20[t] + 3015855790174656000* Sqrt[5]*lu1^12*g20[t] + 1776996350569440000*Sqrt[5]*lu1^13* g20[t] - 7658330409*g40[t] + 52978635144*lu1*g40[t] + 3103387720839*lu1^2*g40[t] + 73174566397446*lu1^3*g40[t] + 1583815648347051*lu1^4*g40[t] - 15806722494778376*lu1^5*g40[t] - 53471490447478671*lu1^6*g40[t] + 202200672436178686*lu1^7*g40[t] + 1198456120681220206*lu1^8*g40[t] + 1677165331778263564*lu1^9* g40[t] - 1824700003796723720*lu1^10*g40[t] - 7462615585003071600* lu1^11*g40[t] - 7100023240925264000*lu1^12*g40[t] - 2427847616911920000*lu1^13*g40[t] - 531718749*Sqrt[70]*g44[t] + 3088361844*Sqrt[70]*lu1*g44[t] + 289802719269*Sqrt[70]*lu1^2* g44[t] + 4273402206636*Sqrt[70]*lu1^3*g44[t] + 90914307407511*Sqrt[70]*lu1^4*g44[t] - 994106200664136*Sqrt[70]* lu1^5*g44[t] - 3061698829578201*Sqrt[70]*lu1^6*g44[t] + 11856767797421796*Sqrt[70]*lu1^7*g44[t] + 79486401805409586* Sqrt[70]*lu1^8*g44[t] + 161063463449988084*Sqrt[70]*lu1^9*g44[t] - 254940686528204280*Sqrt[70]*lu1^10*g44[t] - 1431204781455899760* Sqrt[70]*lu1^11*g44[t] - 1653713991535382400*Sqrt[70]*lu1^12* g44[t] - 509075637018480000*Sqrt[70]*lu1^13*g44[t]) - 2838256608564*Sqrt[210]*f22n[t]*f42[t]*g44n[t] + 40441918757058*Sqrt[210]*lu1*f22n[t]*f42[t]*g44n[t] + 8369856261589212*Sqrt[210]*lu1^2*f22n[t]*f42[t]*g44n[t] - 11045650800548754*Sqrt[210]*lu1^3*f22n[t]*f42[t]*g44n[t] - 4732866997662720384*Sqrt[210]*lu1^4*f22n[t]*f42[t]*g44n[t] - 62509348418495247906*Sqrt[210]*lu1^5*f22n[t]*f42[t]*g44n[t] - 87788986061785838700*Sqrt[210]*lu1^6*f22n[t]*f42[t]*g44n[t] + 8227167327366247688610*Sqrt[210]*lu1^7*f22n[t]*f42[t]*g44n[t] + 15508008990035740463532*Sqrt[210]*lu1^8*f22n[t]*f42[t]*g44n[t] - 29478029095323652516608*Sqrt[210]*lu1^9*f22n[t]*f42[t]*g44n[t] - 854090251553065323464616*Sqrt[210]*lu1^10*f22n[t]*f42[t]*g44n[t] - 4008647002409666393882352*Sqrt[210]*lu1^11*f22n[t]*f42[t]*g44n[t] - 1881590477817923744546688*Sqrt[210]*lu1^12*f22n[t]*f42[t]*g44n[t] + 15298208406968394051730560*Sqrt[210]*lu1^13*f22n[t]*f42[t]*g44n[t] + 22225164148638347653411200*Sqrt[210]*lu1^14*f22n[t]*f42[t]*g44n[t] + 6787180766285306281440000*Sqrt[210]*lu1^15*f22n[t]*f42[t]*g44n[t] - 4617803829420*Sqrt[70]*f42[t]*f42n[t]*g44n[t] - 6868493687160*Sqrt[70]*lu1*f42[t]*f42n[t]*g44n[t] + 12000436128292860*Sqrt[70]*lu1^2*f42[t]*f42n[t]*g44n[t] + 228518536821255720*Sqrt[70]*lu1^3*f42[t]*f42n[t]*g44n[t] + 2129376559317048540*Sqrt[70]*lu1^4*f42[t]*f42n[t]*g44n[t] - 289477513090986892560*Sqrt[70]*lu1^5*f42[t]*f42n[t]*g44n[t] - 8902543666401036466380*Sqrt[70]*lu1^6*f42[t]*f42n[t]*g44n[t] - 11860805601183850408440*Sqrt[70]*lu1^7*f42[t]*f42n[t]*g44n[t] + 297247494720321251227440*Sqrt[70]*lu1^8*f42[t]*f42n[t]*g44n[t] + 333878357870157501857880*Sqrt[70]*lu1^9*f42[t]*f42n[t]*g44n[t] + 2081331465051353778376560*Sqrt[70]*lu1^10*f42[t]*f42n[t]*g44n[t] + 19983183269846785829671680*Sqrt[70]*lu1^11*f42[t]*f42n[t]*g44n[t] + 32769998499866651969892480*Sqrt[70]*lu1^12*f42[t]*f42n[t]*g44n[t] - 11039896408194403076419200*Sqrt[70]*lu1^13*f42[t]*f42n[t]*g44n[t] - 36099995943545559766944000*Sqrt[70]*lu1^14*f42[t]*f42n[t]*g44n[t] - 3551067200606969070720000*Sqrt[70]*lu1^15*f42[t]*f42n[t]*g44n[t] + 62886319997760*f40[t]*f44n[t]*g44n[t] + 932115831266340*lu1*f40[t]* f44n[t]*g44n[t] - 123181404682739760*lu1^2*f40[t]*f44n[t]*g44n[t] - 6127808762601669780*lu1^3*f40[t]*f44n[t]*g44n[t] - 96128123732666194680*lu1^4*f40[t]*f44n[t]*g44n[t] + 3943889867732296362300*lu1^5*f40[t]*f44n[t]*g44n[t] + 67788382911679696835520*lu1^6*f40[t]*f44n[t]*g44n[t] + 208614768792258113136180*lu1^7*f40[t]*f44n[t]*g44n[t] - 931565870679522456587160*lu1^8*f40[t]*f44n[t]*g44n[t] - 25566186692379559322093760*lu1^9*f40[t]*f44n[t]*g44n[t] - 35835979107316555406514240*lu1^10*f40[t]*f44n[t]*g44n[t] + 198950280357897092785078080*lu1^11*f40[t]*f44n[t]*g44n[t] + 436601918357966635777641600*lu1^12*f40[t]*f44n[t]*g44n[t] - 23490155809572700317350400*lu1^13*f40[t]*f44n[t]*g44n[t] - 489703080496987464839424000*lu1^14*f40[t]*f44n[t]*g44n[t] - 228499556377624211957760000*lu1^15*f40[t]*f44n[t]*g44n[t] - 663*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (11440*Sqrt[5]*(232065 - 8290566*lu1 - 84042189*lu1^2 + 4613957916*lu1^3 - 39194139517*lu1^4 - 116323915062*lu1^5 + 6311143544381*lu1^6 - 34021172855056*lu1^7 - 192797638401988* lu1^8 + 796053898755728*lu1^9 + 1674955086059568*lu1^10 + 800100490298240*lu1^11 + 754389729787200*lu1^12 + 464334637536000*lu1^13)*f22[t]^2 + 11440*Sqrt[5]* (232065 - 8290566*lu1 - 84042189*lu1^2 + 4613957916*lu1^3 - 39194139517*lu1^4 - 116323915062*lu1^5 + 6311143544381*lu1^6 - 34021172855056*lu1^7 - 192797638401988*lu1^8 + 796053898755728*lu1^9 + 1674955086059568*lu1^10 + 800100490298240*lu1^11 + 754389729787200*lu1^12 + 464334637536000*lu1^13)*f22n[t]^2 + 2407576770*Sqrt[5]*f40[t]^2 + 398691983520*Sqrt[5]*lu1*f40[t]^2 - 21566986451010*Sqrt[5]*lu1^2* f40[t]^2 + 181647992830740*Sqrt[5]*lu1^3*f40[t]^2 + 3543769921302990*Sqrt[5]*lu1^4*f40[t]^2 - 94732230416445960*Sqrt[5]* lu1^5*f40[t]^2 + 76738504519038210*Sqrt[5]*lu1^6*f40[t]^2 + 4844322666845122740*Sqrt[5]*lu1^7*f40[t]^2 + 9469645583194372560* Sqrt[5]*lu1^8*f40[t]^2 - 1186198571824205280*Sqrt[5]*lu1^9* f40[t]^2 - 23520029308289414880*Sqrt[5]*lu1^10*f40[t]^2 - 44493600468769771200*Sqrt[5]*lu1^11*f40[t]^2 - 41217272330138880000* Sqrt[5]*lu1^12*f40[t]^2 - 13607817160022400000*Sqrt[5]*lu1^13* f40[t]^2 + 4699584846*Sqrt[5]*f42[t]^2 - 581601053088*Sqrt[5]*lu1* f42[t]^2 + 11660711747454*Sqrt[5]*lu1^2*f42[t]^2 + 11424066720792*Sqrt[5]*lu1^3*f42[t]^2 - 1468071397814670*Sqrt[5]* lu1^4*f42[t]^2 + 60696355451110368*Sqrt[5]*lu1^5*f42[t]^2 - 220617612988088646*Sqrt[5]*lu1^6*f42[t]^2 - 4281630440402743032* Sqrt[5]*lu1^7*f42[t]^2 - 11659816480057294296*Sqrt[5]*lu1^8* f42[t]^2 - 21767725322094612960*Sqrt[5]*lu1^9*f42[t]^2 + 6147646894095999072*Sqrt[5]*lu1^10*f42[t]^2 + 95368573711536428160* Sqrt[5]*lu1^11*f42[t]^2 + 92218095597117283200*Sqrt[5]*lu1^12* f42[t]^2 + 9745364226185280000*Sqrt[5]*lu1^13*f42[t]^2 + 4699584846*Sqrt[5]*f42n[t]^2 - 581601053088*Sqrt[5]*lu1*f42n[t]^2 + 11660711747454*Sqrt[5]*lu1^2*f42n[t]^2 + 11424066720792*Sqrt[5]* lu1^3*f42n[t]^2 - 1468071397814670*Sqrt[5]*lu1^4*f42n[t]^2 + 60696355451110368*Sqrt[5]*lu1^5*f42n[t]^2 - 220617612988088646* Sqrt[5]*lu1^6*f42n[t]^2 - 4281630440402743032*Sqrt[5]*lu1^7* f42n[t]^2 - 11659816480057294296*Sqrt[5]*lu1^8*f42n[t]^2 - 21767725322094612960*Sqrt[5]*lu1^9*f42n[t]^2 + 6147646894095999072* Sqrt[5]*lu1^10*f42n[t]^2 + 95368573711536428160*Sqrt[5]*lu1^11* f42n[t]^2 + 92218095597117283200*Sqrt[5]*lu1^12*f42n[t]^2 + 9745364226185280000*Sqrt[5]*lu1^13*f42n[t]^2 - 2743842276*Sqrt[5]* f44[t]^2 - 123910238592*Sqrt[5]*lu1*f44[t]^2 + 18077747094036*Sqrt[5]*lu1^2*f44[t]^2 - 338887143802872*Sqrt[5]* lu1^3*f44[t]^2 - 3636539142596220*Sqrt[5]*lu1^4*f44[t]^2 + 93497159470447152*Sqrt[5]*lu1^5*f44[t]^2 + 255381255920357196* Sqrt[5]*lu1^6*f44[t]^2 - 4041306241754566008*Sqrt[5]*lu1^7* f44[t]^2 - 4390402890207157824*Sqrt[5]*lu1^8*f44[t]^2 + 21278869986642878400*Sqrt[5]*lu1^9*f44[t]^2 + 30154150602059456448* Sqrt[5]*lu1^10*f44[t]^2 + 14709959103110490240*Sqrt[5]*lu1^11* f44[t]^2 + 22967331194511244800*Sqrt[5]*lu1^12*f44[t]^2 + 13292966604879360000*Sqrt[5]*lu1^13*f44[t]^2 - 2743842276*Sqrt[5]* f44n[t]^2 - 123910238592*Sqrt[5]*lu1*f44n[t]^2 + 18077747094036*Sqrt[5]*lu1^2*f44n[t]^2 - 338887143802872*Sqrt[5]* lu1^3*f44n[t]^2 - 3636539142596220*Sqrt[5]*lu1^4*f44n[t]^2 + 93497159470447152*Sqrt[5]*lu1^5*f44n[t]^2 + 255381255920357196* Sqrt[5]*lu1^6*f44n[t]^2 - 4041306241754566008*Sqrt[5]*lu1^7* f44n[t]^2 - 4390402890207157824*Sqrt[5]*lu1^8*f44n[t]^2 + 21278869986642878400*Sqrt[5]*lu1^9*f44n[t]^2 + 30154150602059456448* Sqrt[5]*lu1^10*f44n[t]^2 + 14709959103110490240*Sqrt[5]*lu1^11* f44n[t]^2 + 22967331194511244800*Sqrt[5]*lu1^12*f44n[t]^2 + 13292966604879360000*Sqrt[5]*lu1^13*f44n[t]^2 + 12483166527*f40[t]*g20[t] - 279137854782*lu1*f40[t]*g20[t] - 9103795188327*lu1^2*f40[t]*g20[t] + 117613844998572*lu1^3*f40[t]* g20[t] + 1450574029032717*lu1^4*f40[t]*g20[t] - 2168972581112542*lu1^5*f40[t]*g20[t] - 27898445832944817*lu1^6* f40[t]*g20[t] - 865361566363121728*lu1^7*f40[t]*g20[t] - 6987889969918264228*lu1^8*f40[t]*g20[t] - 10817681007133019632* lu1^9*f40[t]*g20[t] + 26933831829070702160*lu1^10*f40[t]*g20[t] + 83030413802242531200*lu1^11*f40[t]*g20[t] + 70052048313915944000* lu1^12*f40[t]*g20[t] + 19070422714140000000*lu1^13*f40[t]*g20[t] + 1605335004*Sqrt[15]*f42[t]*g22[t] - 50180732154*Sqrt[15]*lu1*f42[t]* g22[t] - 1846677514794*Sqrt[15]*lu1^2*f42[t]*g22[t] + 41837203033444*Sqrt[15]*lu1^3*f42[t]*g22[t] + 907239960627784* Sqrt[15]*lu1^4*f42[t]*g22[t] - 7866461059587634*Sqrt[15]*lu1^5* f42[t]*g22[t] - 134795484601815674*Sqrt[15]*lu1^6*f42[t]*g22[t] - 211374075436029016*Sqrt[15]*lu1^7*f42[t]*g22[t] - 131764240205069696*Sqrt[15]*lu1^8*f42[t]*g22[t] + 1484438494256834816*Sqrt[15]*lu1^9*f42[t]*g22[t] + 8626012657604342560*Sqrt[15]*lu1^10*f42[t]*g22[t] + 11258881365216665600*Sqrt[15]*lu1^11*f42[t]*g22[t] + 1908460044123584000*Sqrt[15]*lu1^12*f42[t]*g22[t] - 2003456971729920000*Sqrt[15]*lu1^13*f42[t]*g22[t] + 1605335004*Sqrt[15]*f42n[t]*g22n[t] - 50180732154*Sqrt[15]*lu1* f42n[t]*g22n[t] - 1846677514794*Sqrt[15]*lu1^2*f42n[t]*g22n[t] + 41837203033444*Sqrt[15]*lu1^3*f42n[t]*g22n[t] + 907239960627784*Sqrt[15]*lu1^4*f42n[t]*g22n[t] - 7866461059587634*Sqrt[15]*lu1^5*f42n[t]*g22n[t] - 134795484601815674*Sqrt[15]*lu1^6*f42n[t]*g22n[t] - 211374075436029016*Sqrt[15]*lu1^7*f42n[t]*g22n[t] - 131764240205069696*Sqrt[15]*lu1^8*f42n[t]*g22n[t] + 1484438494256834816*Sqrt[15]*lu1^9*f42n[t]*g22n[t] + 8626012657604342560*Sqrt[15]*lu1^10*f42n[t]*g22n[t] + 11258881365216665600*Sqrt[15]*lu1^11*f42n[t]*g22n[t] + 1908460044123584000*Sqrt[15]*lu1^12*f42n[t]*g22n[t] - 2003456971729920000*Sqrt[15]*lu1^13*f42n[t]*g22n[t] + 8882872290*Sqrt[5]*f40[t]*g40[t] - 23170032990*Sqrt[5]*lu1*f40[t]* g40[t] - 4512958327710*Sqrt[5]*lu1^2*f40[t]*g40[t] - 88680005060490*Sqrt[5]*lu1^3*f40[t]*g40[t] - 259734852264510* Sqrt[5]*lu1^4*f40[t]*g40[t] + 13707740084258430*Sqrt[5]*lu1^5* f40[t]*g40[t] + 16806453747028350*Sqrt[5]*lu1^6*f40[t]*g40[t] - 304455018638091030*Sqrt[5]*lu1^7*f40[t]*g40[t] - 840649322324094660*Sqrt[5]*lu1^8*f40[t]*g40[t] + 89987706178321440*Sqrt[5]*lu1^9*f40[t]*g40[t] + 5276742761087580480*Sqrt[5]*lu1^10*f40[t]*g40[t] + 14236117791625418400*Sqrt[5]*lu1^11*f40[t]*g40[t] + 15097654107466008000*Sqrt[5]*lu1^12*f40[t]*g40[t] + 5200112549906400000*Sqrt[5]*lu1^13*f40[t]*g40[t] - 6893244666*Sqrt[5]*f42[t]*g42[t] + 37477596618*Sqrt[5]*lu1*f42[t]* g42[t] + 1776932156538*Sqrt[5]*lu1^2*f42[t]*g42[t] + 70402042289502*Sqrt[5]*lu1^3*f42[t]*g42[t] + 838759055654058* Sqrt[5]*lu1^4*f42[t]*g42[t] - 10478849507094738*Sqrt[5]*lu1^5* f42[t]*g42[t] - 55378296572270826*Sqrt[5]*lu1^6*f42[t]*g42[t] + 229456963240767570*Sqrt[5]*lu1^7*f42[t]*g42[t] + 1320125215556665056*Sqrt[5]*lu1^8*f42[t]*g42[t] + 696757037452086072*Sqrt[5]*lu1^9*f42[t]*g42[t] - 5163901315680432864*Sqrt[5]*lu1^10*f42[t]*g42[t] - 11200512537166703520*Sqrt[5]*lu1^11*f42[t]*g42[t] - 9534055318508582400*Sqrt[5]*lu1^12*f42[t]*g42[t] - 3211676725506480000*Sqrt[5]*lu1^13*f42[t]*g42[t] + 2*Sqrt[5]*f22[t]*(2*Sqrt[3]*(-303931737 - 10220896278*lu1 + 584500067802*lu1^2 + 17880241722493*lu1^3 - 661528801411327*lu1^ 4 + 3606929880206372*lu1^5 + 39196162252203192*lu1^6 + 132848225921792893*lu1^7 + 632623357780464598*lu1^8 + 679109028965211192*lu1^9 - 1223514319526916640*lu1^10 - 3231183907357316560*lu1^11 - 1448192001367282400*lu1^12 + 880395122276880000*lu1^13)*f42[t] - 7*(143*(569349 - 14229594*lu1 - 446323014*lu1^2 + 8475863949* lu1^3 + 67579010289*lu1^4 - 674464516544*lu1^5 - 4005060158544*lu1^6 - 32658169396811*lu1^7 - 93286272403856* lu1^8 + 1178367921067576*lu1^9 + 3256084698475840*lu1^10 + 3254837791366800*lu1^11 + 1674005841856000*lu1^12 + 207391467360000*lu1^13)*g22[t] + Sqrt[3]*(65167497 + 727170858*lu1 - 57915803817*lu1^2 - 1062155155488*lu1^3 - 20602468811293*lu1^4 + 174268983701858*lu1^5 + 658052840979953*lu1^6 + 1320638462641252*lu1^7 - 20390610589438388*lu1^8 - 77046604412031632*lu1^9 - 8885748052615840*lu1^10 + 213265937388445280*lu1^11 + 231109647460515200*lu1^12 + 63830861527440000*lu1^13)*g42[ t])) - 6893244666*Sqrt[5]*f42n[t]*g42n[t] + 37477596618*Sqrt[5]*lu1*f42n[t]*g42n[t] + 1776932156538*Sqrt[5]* lu1^2*f42n[t]*g42n[t] + 70402042289502*Sqrt[5]*lu1^3*f42n[t]* g42n[t] + 838759055654058*Sqrt[5]*lu1^4*f42n[t]*g42n[t] - 10478849507094738*Sqrt[5]*lu1^5*f42n[t]*g42n[t] - 55378296572270826*Sqrt[5]*lu1^6*f42n[t]*g42n[t] + 229456963240767570*Sqrt[5]*lu1^7*f42n[t]*g42n[t] + 1320125215556665056*Sqrt[5]*lu1^8*f42n[t]*g42n[t] + 696757037452086072*Sqrt[5]*lu1^9*f42n[t]*g42n[t] - 5163901315680432864*Sqrt[5]*lu1^10*f42n[t]*g42n[t] - 11200512537166703520*Sqrt[5]*lu1^11*f42n[t]*g42n[t] - 9534055318508582400*Sqrt[5]*lu1^12*f42n[t]*g42n[t] - 3211676725506480000*Sqrt[5]*lu1^13*f42n[t]*g42n[t] + 2*Sqrt[5]*f22n[t]*(2*Sqrt[3]*(-303931737 - 10220896278*lu1 + 584500067802*lu1^2 + 17880241722493*lu1^3 - 661528801411327*lu1^ 4 + 3606929880206372*lu1^5 + 39196162252203192*lu1^6 + 132848225921792893*lu1^7 + 632623357780464598*lu1^8 + 679109028965211192*lu1^9 - 1223514319526916640*lu1^10 - 3231183907357316560*lu1^11 - 1448192001367282400*lu1^12 + 880395122276880000*lu1^13)*f42n[t] - 7*(143*(569349 - 14229594*lu1 - 446323014*lu1^2 + 8475863949* lu1^3 + 67579010289*lu1^4 - 674464516544*lu1^5 - 4005060158544*lu1^6 - 32658169396811*lu1^7 - 93286272403856* lu1^8 + 1178367921067576*lu1^9 + 3256084698475840*lu1^10 + 3254837791366800*lu1^11 + 1674005841856000*lu1^12 + 207391467360000*lu1^13)*g22n[t] + Sqrt[3]*(65167497 + 727170858*lu1 - 57915803817*lu1^2 - 1062155155488*lu1^3 - 20602468811293*lu1^4 + 174268983701858*lu1^5 + 658052840979953*lu1^6 + 1320638462641252*lu1^7 - 20390610589438388*lu1^8 - 77046604412031632*lu1^9 - 8885748052615840*lu1^10 + 213265937388445280*lu1^11 + 231109647460515200*lu1^12 + 63830861527440000*lu1^13)*g42n[ t])) - 7363567764*Sqrt[5]*f44[t]*g44[t] + 25586417052*Sqrt[5]*lu1*f44[t]*g44[t] + 5228548396092*Sqrt[5]*lu1^2* f44[t]*g44[t] + 53588232769428*Sqrt[5]*lu1^3*f44[t]*g44[t] - 1030956823246308*Sqrt[5]*lu1^4*f44[t]*g44[t] - 11727507536344572* Sqrt[5]*lu1^5*f44[t]*g44[t] + 64265229027285636*Sqrt[5]*lu1^6* f44[t]*g44[t] + 442044493554432300*Sqrt[5]*lu1^7*f44[t]*g44[t] - 571570248056646216*Sqrt[5]*lu1^8*f44[t]*g44[t] - 4981042824731958432*Sqrt[5]*lu1^9*f44[t]*g44[t] - 8561346352006108416*Sqrt[5]*lu1^10*f44[t]*g44[t] - 9525171622857737280*Sqrt[5]*lu1^11*f44[t]*g44[t] - 8108082196462953600*Sqrt[5]*lu1^12*f44[t]*g44[t] - 2834649103386240000*Sqrt[5]*lu1^13*f44[t]*g44[t] - 7363567764*Sqrt[5]*f44n[t]*g44n[t] + 25586417052*Sqrt[5]*lu1* f44n[t]*g44n[t] + 5228548396092*Sqrt[5]*lu1^2*f44n[t]*g44n[t] + 53588232769428*Sqrt[5]*lu1^3*f44n[t]*g44n[t] - 1030956823246308*Sqrt[5]*lu1^4*f44n[t]*g44n[t] - 11727507536344572*Sqrt[5]*lu1^5*f44n[t]*g44n[t] + 64265229027285636*Sqrt[5]*lu1^6*f44n[t]*g44n[t] + 442044493554432300*Sqrt[5]*lu1^7*f44n[t]*g44n[t] - 571570248056646216*Sqrt[5]*lu1^8*f44n[t]*g44n[t] - 4981042824731958432*Sqrt[5]*lu1^9*f44n[t]*g44n[t] - 8561346352006108416*Sqrt[5]*lu1^10*f44n[t]*g44n[t] - 9525171622857737280*Sqrt[5]*lu1^11*f44n[t]*g44n[t] - 8108082196462953600*Sqrt[5]*lu1^12*f44n[t]*g44n[t] - 2834649103386240000*Sqrt[5]*lu1^13*f44n[t]*g44n[t]) + 1326*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]* (f40[t]*(10*Sqrt[3]*(-286659729 - 14906782566*lu1 + 801978814413*lu1^ 2 + 2285385655212*lu1^3 - 101871578100859*lu1^4 + 2100295153470850*lu1^5 - 18701718665739469*lu1^6 - 112275807099067600*lu1^7 - 338289610555994164*lu1^8 - 501263387343342872*lu1^9 + 387111439430802304*lu1^10 + 330018300727189600*lu1^11 - 536701476254550400*lu1^12 + 268942249139200000*lu1^13)*f42[t] - 7*(2*(85692438 - 2274328458*lu1 + 63167405187*lu1^2 - 753756335982*lu1^3 - 91122057436327*lu1^4 + 407593557578552* lu1^5 + 16580375773268177*lu1^6 + 49000195407261418*lu1^7 - 87556618193480807*lu1^8 - 776799199262441858*lu1^9 - 791427705900604060*lu1^10 + 1551549373748103800*lu1^11 + 2747326997929196000*lu1^12 + 926647738367400000*lu1^13)*g22[ t] + 5*Sqrt[3]*(-12224601 - 677159352*lu1 + 24975206118* lu1^2 + 627037347861*lu1^3 + 2056083165555*lu1^4 - 32419611138150*lu1^5 + 153471514523752*lu1^6 - 2387833998710791*lu1^7 + 664616204706456*lu1^8 + 33309177779751152*lu1^9 + 20509929094264240*lu1^10 - 57576070034467920*lu1^11 - 15675446965524800*lu1^12 + 32583294322880000*lu1^13)*g42[t])) - Sqrt[3]*f42[t]* (2*Sqrt[70]*(-447164847 - 41486248134*lu1 + 2239777911147*lu1^2 - 9824480533504*lu1^3 - 338122906187725*lu1^4 + 8415777181233914* lu1^5 - 23817618967008683*lu1^6 - 435230651555409116*lu1^7 - 969599316102285668*lu1^8 - 422183482555062520*lu1^9 + 1955113393316763296*lu1^10 + 3296258331978507680*lu1^11 + 2211116679088041600*lu1^12 + 1176130059807360000*lu1^13)* f44[t] + Sqrt[5]*(626913027 - 17080959087*lu1 - 574462733082*lu1^ 2 + 9276818423522*lu1^3 + 269637316697127*lu1^4 - 1097618318645347*lu1^5 - 35894585410931832*lu1^6 - 159713778103626528*lu1^7 - 645972500217273848*lu1^8 - 1112946503613545472*lu1^9 + 497117450897770320*lu1^10 + 3618769101488520800*lu1^11 + 3012988978203368000*lu1^12 + 289814488929840000*lu1^13)*g20[t] + (-3 + 13*lu1 + 38*lu1^2)* (165*(-5898744 - 86118561*lu1 + 3136786164*lu1^2 + 135112765426* lu1^3 + 2217272994200*lu1^4 + 1661609750855*lu1^5 - 42940632876888*lu1^6 - 434972898418872*lu1^7 - 598971052284580*lu1^8 + 781228399699160*lu1^9 + 1325744844552400*lu1^10 + 277180822380000*lu1^11)*g40[t] + Sqrt[70]*(237829446 + 575025813*lu1 - 158733018594*lu1^2 - 2820198550798*lu1^3 - 18823077069350*lu1^4 + 181345541032725* lu1^5 + 1108746948672406*lu1^6 + 6120352839992516*lu1^7 + 9964458467711316*lu1^8 - 25860208641318520*lu1^9 - 57591511668604400*lu1^10 - 19675482921780000*lu1^11)*g44[ t])) + Sqrt[70]*(-558703197*f44[t]*g22[t] + 9147957642*lu1*f44[t]*g22[t] + 428182905087*lu1^2*f44[t]*g22[t] - 2358431477272*lu1^3*f44[t]*g22[t] - 27036443694677*lu1^4*f44[t]* g22[t] - 762361180650138*lu1^5*f44[t]*g22[t] - 7224347346922823*lu1^6*f44[t]*g22[t] + 57145278513655268*lu1^7* f44[t]*g22[t] + 290507021212300338*lu1^8*f44[t]*g22[t] - 110851311784993708*lu1^9*f44[t]*g22[t] - 1884006323943944600* lu1^10*f44[t]*g22[t] - 2612687710523962800*lu1^11*f44[t]* g22[t] - 1574177743602000000*lu1^12*f44[t]*g22[t] - 726034374295440000*lu1^13*f44[t]*g22[t] - 558703197*f44n[t]* g22n[t] + 9147957642*lu1*f44n[t]*g22n[t] + 428182905087*lu1^2* f44n[t]*g22n[t] - 2358431477272*lu1^3*f44n[t]*g22n[t] - 27036443694677*lu1^4*f44n[t]*g22n[t] - 762361180650138*lu1^5* f44n[t]*g22n[t] - 7224347346922823*lu1^6*f44n[t]*g22n[t] + 57145278513655268*lu1^7*f44n[t]*g22n[t] + 290507021212300338* lu1^8*f44n[t]*g22n[t] - 110851311784993708*lu1^9*f44n[t]* g22n[t] - 1884006323943944600*lu1^10*f44n[t]*g22n[t] - 2612687710523962800*lu1^11*f44n[t]*g22n[t] - 1574177743602000000* lu1^12*f44n[t]*g22n[t] - 726034374295440000*lu1^13*f44n[t]* g22n[t] + 969298083*Sqrt[3]*f44[t]*g42[t] - 467571474*Sqrt[3]* lu1*f44[t]*g42[t] - 289073141784*Sqrt[3]*lu1^2*f44[t]*g42[t] - 13154297036451*Sqrt[3]*lu1^3*f44[t]*g42[t] - 164077056343669* Sqrt[3]*lu1^4*f44[t]*g42[t] + 1660999387025384*Sqrt[3]*lu1^5* f44[t]*g42[t] + 9375548932698458*Sqrt[3]*lu1^6*f44[t]*g42[t] - 27640614037191515*Sqrt[3]*lu1^7*f44[t]*g42[t] - 196783460183754128*Sqrt[3]*lu1^8*f44[t]*g42[t] - 194901608411614616*Sqrt[3]*lu1^9*f44[t]*g42[t] + 515164993875284912*Sqrt[3]*lu1^10*f44[t]*g42[t] + 1343729467465598960*Sqrt[3]*lu1^11*f44[t]*g42[t] + 1240428305383083200*Sqrt[3]*lu1^12*f44[t]*g42[t] + 521347800484560000*Sqrt[3]*lu1^13*f44[t]*g42[t] + 969298083*Sqrt[3]*f44n[t]*g42n[t] - 467571474*Sqrt[3]*lu1*f44n[t]* g42n[t] - 289073141784*Sqrt[3]*lu1^2*f44n[t]*g42n[t] - 13154297036451*Sqrt[3]*lu1^3*f44n[t]*g42n[t] - 164077056343669*Sqrt[3]*lu1^4*f44n[t]*g42n[t] + 1660999387025384*Sqrt[3]*lu1^5*f44n[t]*g42n[t] + 9375548932698458*Sqrt[3]*lu1^6*f44n[t]*g42n[t] - 27640614037191515*Sqrt[3]*lu1^7*f44n[t]*g42n[t] - 196783460183754128*Sqrt[3]*lu1^8*f44n[t]*g42n[t] - 194901608411614616*Sqrt[3]*lu1^9*f44n[t]*g42n[t] + 515164993875284912*Sqrt[3]*lu1^10*f44n[t]*g42n[t] + 1343729467465598960*Sqrt[3]*lu1^11*f44n[t]*g42n[t] + 1240428305383083200*Sqrt[3]*lu1^12*f44n[t]*g42n[t] + 521347800484560000*Sqrt[3]*lu1^13*f44n[t]*g42n[t] + 2*f22n[t]*(2*(338474511 - 16345806696*lu1 + 79346334564*lu1^2 + 5989156738781*lu1^3 - 150650849422439*lu1^4 + 1542644377086334*lu1^5 + 9714056102559594*lu1^6 - 92111338748541799*lu1^7 - 238896679507522654*lu1^8 + 673158157900005444*lu1^9 + 2966974662629035000*lu1^10 + 3429817113633582880*lu1^11 + 1850255654127507200*lu1^12 + 848736564533760000*lu1^13)*f44n[t] + (-177239583 + 1029453948*lu1 + 96600906423*lu1^2 + 1424467402212*lu1^3 + 30304769135837*lu1^4 - 331368733554712*lu1^5 - 1020566276526067*lu1^6 + 3952255932473932*lu1^7 + 26495467268469862*lu1^8 + 53687821149996028*lu1^9 - 84980228842734760*lu1^10 - 477068260485299920*lu1^11 - 551237997178460800*lu1^12 - 169691879006160000*lu1^13)*g44n[ t]) + Sqrt[3]*f42n[t]*(2*(447164847 + 41486248134*lu1 - 2239777911147*lu1^2 + 9824480533504*lu1^3 + 338122906187725* lu1^4 - 8415777181233914*lu1^5 + 23817618967008683*lu1^6 + 435230651555409116*lu1^7 + 969599316102285668*lu1^8 + 422183482555062520*lu1^9 - 1955113393316763296*lu1^10 - 3296258331978507680*lu1^11 - 2211116679088041600*lu1^12 - 1176130059807360000*lu1^13)*f44n[t] + (713488338 - 1366705359*lu1 - 492711910299*lu1^2 - 6418917391566*lu1^3 - 13774795341104*lu1^4 + 895904169930049*lu1^5 + 1684025741227093*lu1^6 - 2943782372007280*lu1^7 - 91803595566320188*lu1^8 - 439691993923918276*lu1^9 - 215241244441702448*lu1^10 + 1672351131296620960*lu1^11 + 2444258721390107200*lu1^12 + 747668351027640000*lu1^13)*g44n[ t])))))/(51102051*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)^3*(81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)* Pi) eqF42f = (2*cap*(316030*Sqrt[3]*(1227636 + 13667535*lu1 - 5871521034*lu1^2 - 53361000963*lu1^3 + 7709894375364*lu1^4 + 33350693148453*lu1^5 - 3000603473748394*lu1^6 + 198454506352707*lu1^7 + 296404293338100044*lu1^8 - 328534410110110372*lu1^9 - 5888734405123051888*lu1^10 + 12591345296796528272*lu1^11 + 7275189425230616640*lu1^12 - 34629286069089265600*lu1^13 - 5838533048293344000*lu1^14 + 10437503702250240000*lu1^15)* f22[t]^3 - 13260*(1691174214 + 15725949120*lu1 - 7099773667893*lu1^2 - 68512887100008*lu1^3 + 7145519564176085* lu1^4 + 33782634506538130*lu1^5 - 1167335935893564443*lu1^6 + 8921853437024095860*lu1^7 - 46434536215871646259*lu1^8 - 621201320115761601790*lu1^9 + 1955480245396238920824*lu1^10 + 8717948671246414603744*lu1^11 + 8257257119788420400272*lu1^12 + 3791177784032467901984*lu1^13 + 4139578057902327452160*lu1^14 + 2108232873367066656000*lu1^15)*f22[t]^2*f42[t] + 1105*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]^2* (143*Sqrt[3]*(-409212 - 9602793*lu1 + 904917447*lu1^2 + 7034075208*lu1^3 - 418189583502*lu1^4 - 222809621353*lu1^5 + 43144543034547*lu1^6 - 42487027285702*lu1^7 - 869590577720752* lu1^8 + 1831123312175552*lu1^9 + 1089624199093040*lu1^10 - 5053002092085600*lu1^11 - 861078548944000*lu1^12 + 1524613453440000*lu1^13)*f22[t] - 6*(-274314762 + 1272861216*lu1 + 406732656015*lu1^2 - 5427391808829*lu1^3 - 60355929713940*lu1^4 + 1165880622543126* lu1^5 + 621198259016927*lu1^6 - 41307713415651481*lu1^7 + 211886178854454544*lu1^8 + 609086584723907616*lu1^9 - 62472123708455632*lu1^10 + 21792110623427824*lu1^11 + 1128556104677388160*lu1^12 + 514787954446416000*lu1^13)*f42[t]) - 663*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (33*Sqrt[5]*(465904116 - 465788781*lu1 - 516557493627*lu1^2 + 588009871606*lu1^3 + 75855068507358*lu1^4 - 355454922771977* lu1^5 - 676230153242871*lu1^6 + 4280738133592584*lu1^7 - 85997841970785984*lu1^8 - 308124196532799832*lu1^9 - 126828867513167312*lu1^10 + 513427727675093120*lu1^11 + 576680030349216000*lu1^12 + 141685935316240000*lu1^13)*f40[t]* f42[t] + 10*Sqrt[3]*f22[t]*(Sqrt[5]*(-57975318 + 5448243438*lu1 + 31335942897*lu1^2 - 5080818629927*lu1^3 - 15244653033026*lu1^ 4 + 161630682965508*lu1^5 + 6318371354170653*lu1^6 + 18605224549349345*lu1^7 - 1943147717008542*lu1^8 - 89688694559748444*lu1^9 - 245645855154746792*lu1^10 - 106997398442899968*lu1^11 + 222155773768415680*lu1^12 + 118965775145616000*lu1^13)*f40[t] + Sqrt[14]*(-124099506 + 43759782*lu1 + 171822471807*lu1^2 - 227969901381*lu1^3 - 45136304886206*lu1^4 + 152729808801560*lu1^5 + 2574278269772051*lu1^6 - 1106527593233285*lu1^7 + 17878024525748486*lu1^8 + 123961642170236412*lu1^9 + 186225417094214376*lu1^10 + 74677230732968640*lu1^11 + 8525722822840000*lu1^12 + 25879294638960000*lu1^13)*f44[t]) - 5*Sqrt[14]*(3*(-476116164 + 576889281*lu1 + 567495170823*lu1^2 - 1916508122318*lu1^3 - 110552164804406*lu1^4 + 226597850786509* lu1^5 + 4379304166423987*lu1^6 + 55436170984216*lu1^7 + 96964351720975264*lu1^8 + 228023741822229048*lu1^9 - 41954419888367216*lu1^10 + 57702382858650240*lu1^11 + 534901869263328000*lu1^12 + 228988102746928000*lu1^13)*f42[t]* f44[t] + (-2*Sqrt[3]*(-124099506 + 43759782*lu1 + 171822471807* lu1^2 - 227969901381*lu1^3 - 45136304886206*lu1^4 + 152729808801560*lu1^5 + 2574278269772051*lu1^6 - 1106527593233285*lu1^7 + 17878024525748486*lu1^8 + 123961642170236412*lu1^9 + 186225417094214376*lu1^10 + 74677230732968640*lu1^11 + 8525722822840000*lu1^12 + 25879294638960000*lu1^13)*f22n[t] + 3*(-476116164 + 576889281*lu1 + 567495170823*lu1^2 - 1916508122318*lu1^3 - 110552164804406*lu1^4 + 226597850786509*lu1^5 + 4379304166423987*lu1^6 + 55436170984216*lu1^7 + 96964351720975264*lu1^8 + 228023741822229048*lu1^9 - 41954419888367216*lu1^10 + 57702382858650240*lu1^11 + 534901869263328000*lu1^12 + 228988102746928000*lu1^13)*f42n[ t])*f44n[t])) - 6*(1105*(-153787572 + 15248396205*lu1 + 54122849874*lu1^2 - 18234029945781*lu1^3 - 99745156760660*lu1^4 - 25305298219871905*lu1^5 + 724897823014083494*lu1^6 + 9788779146252806925*lu1^7 - 125257849727500207268*lu1^8 - 682056660294042710180*lu1^9 + 2429159560889636660148*lu1^10 + 5478272940563036882528*lu1^11 - 4182586833573226314016*lu1^12 - 889178418727788610112*lu1^13 + 13331554605274213869120*lu1^14 + 5277456034303858272000*lu1^15)*f22n[t]^2*f42[t] + 442*Sqrt[3]*(-3 + 37*lu1 + 6846*lu1^2)*f22n[t]* (5*(-533511684 + 779862870*lu1 + 693895611717*lu1^2 - 4035931480695*lu1^3 - 172777275356608*lu1^4 + 145212024400476* lu1^5 + 11057802784631221*lu1^6 + 11592813317345737*lu1^7 + 118214602599478274*lu1^8 + 84433515859171356*lu1^9 - 285053584252598456*lu1^10 + 1059585227464532960*lu1^11 + 2353817876133305600*lu1^12 + 825446260967216000*lu1^13)*f42[t]* f42n[t] - Sqrt[70]*(-1154960532 + 1252067382*lu1 + 1346756709249*lu1^2 - 3470022468147*lu1^3 - 245978837919176*lu1^ 4 + 1109337413522964*lu1^5 + 11600740815139937*lu1^6 + 22024320061017437*lu1^7 + 209706252395404018*lu1^8 + 398925105191378604*lu1^9 + 93057459464769224*lu1^10 + 412995576843331360*lu1^11 + 993833101073056000*lu1^12 + 382206182574160000*lu1^13)*f40[t]*f44n[t]) - 4*(-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)* (5*(81035011116 - 2756289825513*lu1 - 240509270650596*lu1^2 + 6116715687804120*lu1^3 + 160219771756649039*lu1^4 - 1849369123184916951*lu1^5 - 17557622856384961170*lu1^6 + 19660590655873430086*lu1^7 - 1101619501727523209721*lu1^8 - 3054628689983272042230*lu1^9 + 6096786218680101830900*lu1^10 + 7088775831907173327000*lu1^11)*f40[t]^2*f42[t] + 18*Sqrt[70]*(987084036 - 82340488755*lu1 - 2698027284492*lu1^2 + 207264471272796*lu1^3 + 2825936460702885*lu1^4 - 56433465361050053*lu1^5 - 953080752033995350*lu1^6 - 4391674591162984394*lu1^7 + 4640775150120651037*lu1^8 - 17617437467731119490*lu1^9 + 94691330378915995900*lu1^10 + 89984518672584165000*lu1^11)*f40[t]*(f42[t]*f44[t] + f42n[t]*f44n[t]) + 2*f42[t]*(4*(65018425572 - 419349320145* lu1 - 201484085608164*lu1^2 + 28925290479897*lu1^3 + 96421549764980275*lu1^4 - 237781551962556741*lu1^5 + 13078689066768127650*lu1^6 + 185969779545081464087*lu1^7 - 1547572863926337937761*lu1^8 - 3170845035539971411530*lu1^9 + 4141076381924964439300*lu1^10 + 5554038728666498595000* lu1^11)*f42[t]^2 + 4*(65018425572 - 419349320145*lu1 - 201484085608164*lu1^2 + 28925290479897*lu1^3 + 96421549764980275*lu1^4 - 237781551962556741*lu1^5 + 13078689066768127650*lu1^6 + 185969779545081464087*lu1^7 - 1547572863926337937761*lu1^8 - 3170845035539971411530*lu1^9 + 4141076381924964439300*lu1^10 + 5554038728666498595000* lu1^11)*f42n[t]^2 + 7*(35038205964 - 63184278465*lu1 - 109352276166468*lu1^2 - 427609415310336*lu1^3 + 49042450307053975*lu1^4 - 14946318204925167*lu1^5 + 9515852506797491550*lu1^6 + 115679176721110088894*lu1^7 - 894271868993880216657*lu1^8 - 1774159797163416979110*lu1^9 + 2163419367430873974100*lu1^10 + 2980912447796747415000* lu1^11)*(f44[t]^2 + f44n[t]^2)))) + 221*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]* (1430*Sqrt[3]*(-409212 - 9602793*lu1 + 904917447*lu1^2 + 7034075208*lu1^3 - 418189583502*lu1^4 - 222809621353*lu1^5 + 43144543034547*lu1^6 - 42487027285702*lu1^7 - 869590577720752* lu1^8 + 1831123312175552*lu1^9 + 1089624199093040*lu1^10 - 5053002092085600*lu1^11 - 861078548944000*lu1^12 + 1524613453440000*lu1^13)*f22n[t]^2 + 450*(78580800 + 1329241023*lu1 - 121032868131*lu1^2 - 1099227231446*lu1^3 + 30041065406398*lu1^4 - 74139685859793* lu1^5 - 351115863786375*lu1^6 + 5481201832262300*lu1^7 - 13894305323563500*lu1^8 - 115393405267614420*lu1^9 - 201080526609347480*lu1^10 - 82757272660451472*lu1^11 + 49144651324973920*lu1^12 + 10331972807184000*lu1^13)*f22n[t]* f42n[t] - 3*Sqrt[3]*(5*(-70659756 + 380311641*lu1 + 143962435617*lu1^2 - 2642495675296*lu1^3 - 60803148183678*lu1^ 4 - 1085685573113383*lu1^5 - 1304960798159939*lu1^6 - 43771459267113794*lu1^7 + 65409253814068284*lu1^8 + 342268498728388032*lu1^9 - 395887018371374528*lu1^10 - 537479239393411520*lu1^11 + 686843144170528000*lu1^12 + 380528148586320000*lu1^13)*f40[t]^2 - 4*Sqrt[70]* (-1154960532 + 1252067382*lu1 + 1346756709249*lu1^2 - 3470022468147*lu1^3 - 245978837919176*lu1^4 + 1109337413522964* lu1^5 + 11600740815139937*lu1^6 + 22024320061017437*lu1^7 + 209706252395404018*lu1^8 + 398925105191378604*lu1^9 + 93057459464769224*lu1^10 + 412995576843331360*lu1^11 + 993833101073056000*lu1^12 + 382206182574160000*lu1^13)*f40[t]* f44[t] + 10*(2*(-786840588 + 812991537*lu1 + 893925719589* lu1^2 - 1633553616044*lu1^3 - 147152946085690*lu1^4 + 708660545347753*lu1^5 + 4650773181678345*lu1^6 + 5271189542820066*lu1^7 + 142710176618938136*lu1^8 + 385269536488332672*lu1^9 + 147101101970316624*lu1^10 - 265592442451950560*lu1^11 - 145090518266796800*lu1^12 + 7368063550400000*lu1^13)*f42[t]^2 - 2*(253328904 - 33128667*lu1 - 200030107872*lu1^2 - 2402377864651*lu1^3 - 25624329270918*lu1^4 - 563448520947277*lu1^5 + 6407029602952876*lu1^6 + 6321623774525671*lu1^7 - 24495574019459862*lu1^8 - 300836020629161316*lu1^9 - 432154686222915080*lu1^10 + 1325177669916483520*lu1^11 + 2498908394400102400*lu1^12 + 818078197416816000*lu1^13)* f42n[t]^2 + 7*(501241068 - 488986893*lu1 - 555771023913* lu1^2 + 601696552820*lu1^3 + 82101961148966*lu1^4 - 460573097849941*lu1^5 - 1375057093817557*lu1^6 + 276365707208366*lu1^7 - 89329222348531684*lu1^8 - 293754619957382160*lu1^9 - 147521188103051680*lu1^10 + 429776153737273920*lu1^11 + 526184602506259200*lu1^12 + 133493708498864000*lu1^13)*(f44[t]^2 + f44n[t]^2))))))/ (51102051*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) + ((10*(-1 + 26*lu1)*mar*f20[t]^2*(f42[t] - I*f42n[t]))/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(-1 + 26*lu1)*mar* (f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t]))/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) + (10*(-1 + 26*lu1)*mar*f40[t]^2* (f42[t] - I*f42n[t]))/((-1 + 7*lu1 + 170*lu1^2)*Pi) + (10*(-1 + 26*lu1)*mar*f20[t]^2*(f42[t] + I*f42n[t]))/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(-1 + 26*lu1)*mar* (f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t]))/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) + (10*(-1 + 26*lu1)*mar*f40[t]^2* (f42[t] + I*f42n[t]))/((-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(-1 + 26*lu1)*mar*(f42[t] - I*f42n[t])^2*(f42[t] + I*f42n[t]))/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(-1 + 26*lu1)*mar* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])^2)/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(-1 + 26*lu1)*mar* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]))/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(-1 + 26*lu1)*mar* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]))/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) + (10*(-1 + 5*lu1)*mar*f20[t]* (f42[t] - I*f42n[t])*(10*(-3 - 13*lu1 + 16*lu1^2)*f20[t] + (39 + 61*lu1 - 84*lu1^2)*g20[t]))/((3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*(-1 + 5*lu1)*mar*f20[t]* (f42[t] + I*f42n[t])*(10*(-3 - 13*lu1 + 16*lu1^2)*f20[t] + (39 + 61*lu1 - 84*lu1^2)*g20[t]))/((3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (25*Sqrt[3]*mar*f20[t]* (f22[t] - I*f22n[t])*((-6 + 22*lu1 + 8*lu1^2)*f20[t] + (3 - 3*lu1 - 8*lu1^2)*g20[t]))/(7*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (25*Sqrt[3]*mar*f20[t]*(f22[t] + I*f22n[t])* ((-6 + 22*lu1 + 8*lu1^2)*f20[t] + (3 - 3*lu1 - 8*lu1^2)*g20[t]))/ (7*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (225*Sqrt[15]*mar*(f22[t] - I*f22n[t])*f40[t]* ((-6 + 22*lu1 + 8*lu1^2)*f20[t] + (3 - 3*lu1 - 8*lu1^2)*g20[t]))/ (154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (225*Sqrt[15]*mar*(f22[t] + I*f22n[t])*f40[t]* ((-6 + 22*lu1 + 8*lu1^2)*f20[t] + (3 - 3*lu1 - 8*lu1^2)*g20[t]))/ (154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (225*Sqrt[3/14]*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* ((-6 + 22*lu1 + 8*lu1^2)*f20[t] + (3 - 3*lu1 - 8*lu1^2)*g20[t]))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (225*Sqrt[3/14]*mar*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* ((-6 + 22*lu1 + 8*lu1^2)*f20[t] + (3 - 3*lu1 - 8*lu1^2)*g20[t]))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (10*mar*f20[t]*(f42[t] - I*f42n[t])*((-19 + 359*lu1 + 44*lu1^2)* f20[t] + (-29 - 76*lu1 + 89*lu1^2)*g20[t]))/ (7*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (45*Sqrt[5]*mar*f40[t]*(f42[t] - I*f42n[t])* ((-19 + 359*lu1 + 44*lu1^2)*f20[t] + (-29 - 76*lu1 + 89*lu1^2)* g20[t]))/(77*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (10*mar*f20[t]*(f42[t] + I*f42n[t])*((-19 + 359*lu1 + 44*lu1^2)* f20[t] + (-29 - 76*lu1 + 89*lu1^2)*g20[t]))/ (7*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (45*Sqrt[5]*mar*f40[t]*(f42[t] + I*f42n[t])* ((-19 + 359*lu1 + 44*lu1^2)*f20[t] + (-29 - 76*lu1 + 89*lu1^2)* g20[t]))/(77*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (45*Sqrt[2/7]*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*f20[t] + (-29 - 76*lu1 + 89*lu1^2)* g20[t]))/(11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (45*Sqrt[2/7]*mar*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*f20[t] + (-29 - 76*lu1 + 89*lu1^2)* g20[t]))/(11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (7*mar*f20[t]*(f42[t] - I*f42n[t])*(3*(9 + 11*lu1 + 36*lu1^2)*f20[t] + (-36 - 9*lu1 + 101*lu1^2)*g20[t]))/(11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (63*Sqrt[5]*mar*f40[t]*(f42[t] - I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*f20[t] + (-36 - 9*lu1 + 101*lu1^2)* g20[t]))/(143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (7*mar*f20[t]*(f42[t] + I*f42n[t])*(3*(9 + 11*lu1 + 36*lu1^2)*f20[t] + (-36 - 9*lu1 + 101*lu1^2)*g20[t]))/(11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (63*Sqrt[5]*mar*f40[t]*(f42[t] + I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*f20[t] + (-36 - 9*lu1 + 101*lu1^2)* g20[t]))/(143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (2*Sqrt[42]*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*f20[t] + (-36 - 9*lu1 + 101*lu1^2)* g20[t]))/(11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (45*Sqrt[14]*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*f20[t] + (-36 - 9*lu1 + 101*lu1^2)* g20[t]))/(143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (2*Sqrt[42]*mar*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*f20[t] + (-36 - 9*lu1 + 101*lu1^2)* g20[t]))/(11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (45*Sqrt[14]*mar*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*f20[t] + (-36 - 9*lu1 + 101*lu1^2)* g20[t]))/(143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (125*Sqrt[3]*lu1*mar*f20[t]*(f22[t] - I*f22n[t])* ((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*f20[t] + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*g20[t]))/ (14*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (125*Sqrt[3]*lu1*mar*f20[t]*(f22[t] + I*f22n[t])* ((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*f20[t] + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*g20[t]))/ (14*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (1125*Sqrt[15]*lu1*mar*(f22[t] - I*f22n[t])* f40[t]*((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*f20[t] + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*g20[t]))/ (308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (1125*Sqrt[15]*lu1*mar*(f22[t] + I*f22n[t])* f40[t]*((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*f20[t] + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*g20[t]))/ (308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (1125*Sqrt[3/14]*lu1*mar*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)* f20[t] + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*g20[t]))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (1125*Sqrt[3/14]*lu1*mar*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)* f20[t] + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*g20[t]))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (25*Sqrt[3]*(-1 + 5*lu1)*mar*f20[t]* (f22[t] - I*f22n[t])*((42 + 32*lu1 + 514*lu1^2 + 36*lu1^3)*f20[t] - (57 + 18*lu1 - 17*lu1^2 + 150*lu1^3)*g20[t]))/ (14*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (25*Sqrt[3]*(-1 + 5*lu1)*mar*f20[t]* (f22[t] + I*f22n[t])*((42 + 32*lu1 + 514*lu1^2 + 36*lu1^3)*f20[t] - (57 + 18*lu1 - 17*lu1^2 + 150*lu1^3)*g20[t]))/ (14*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (75*Sqrt[15]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*f40[t]*(2*(-273 - 48*lu1 - 589*lu1^2 + 310*lu1^3)*f20[t] + (549 + 362*lu1 - 765*lu1^2 + 254*lu1^3)* g20[t]))/(308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (75*Sqrt[15]*(-1 + 5*lu1)*mar* (f22[t] + I*f22n[t])*f40[t]*(2*(-273 - 48*lu1 - 589*lu1^2 + 310*lu1^3)*f20[t] + (549 + 362*lu1 - 765*lu1^2 + 254*lu1^3)* g20[t]))/(308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (75*Sqrt[3/14]*(-1 + 5*lu1)*mar* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (2*(-273 - 48*lu1 - 589*lu1^2 + 310*lu1^3)*f20[t] + (549 + 362*lu1 - 765*lu1^2 + 254*lu1^3)*g20[t]))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (75*Sqrt[3/14]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (2*(-273 - 48*lu1 - 589*lu1^2 + 310*lu1^3)*f20[t] + (549 + 362*lu1 - 765*lu1^2 + 254*lu1^3)*g20[t]))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (5*Sqrt[42]*lu1*mar*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(4*(-516 - 3715*lu1 - 1333*lu1^2 + 7916*lu1^3)* f20[t] + (3837 + 4600*lu1 - 5899*lu1^2 + 598*lu1^3)*g20[t]))/ (11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) + (5*Sqrt[42]*lu1*mar*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(4*(-516 - 3715*lu1 - 1333*lu1^2 + 7916*lu1^3)* f20[t] + (3837 + 4600*lu1 - 5899*lu1^2 + 598*lu1^3)*g20[t]))/ (11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) - (Sqrt[42]*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(2*(-129 - 745*lu1 + 218*lu1^2 + 4184*lu1^3)* f20[t] + (519 - 370*lu1 - 943*lu1^2 + 3146*lu1^3)*g20[t]))/ (11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) - (Sqrt[42]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(2*(-129 - 745*lu1 + 218*lu1^2 + 4184*lu1^3)* f20[t] + (519 - 370*lu1 - 943*lu1^2 + 3146*lu1^3)*g20[t]))/ (11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) - (675*Sqrt[2/7]*lu1*mar*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(2*(-3066 + 24523*lu1 - 32652*lu1^2 - 78681*lu1^3 + 836*lu1^4)*f20[t] + (1749 - 10580*lu1 + 16219*lu1^2 + 41854*lu1^3 - 21242*lu1^4)*g20[t]))/ (143*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (675*Sqrt[2/7]*lu1*mar*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (2*(-3066 + 24523*lu1 - 32652*lu1^2 - 78681*lu1^3 + 836*lu1^4)* f20[t] + (1749 - 10580*lu1 + 16219*lu1^2 + 41854*lu1^3 - 21242*lu1^4)*g20[t]))/(143*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (15*Sqrt[2/7]*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(2*(20076 - 287284*lu1 + 4999*lu1^2 + 517561*lu1^3 + 37388*lu1^4)*f20[t] + 5*(4710 + 33541*lu1 - 20349*lu1^2 - 69768*lu1^3 + 25378*lu1^4)* g20[t]))/(143*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (15*Sqrt[2/7]*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(2*(20076 - 287284*lu1 + 4999*lu1^2 + 517561*lu1^3 + 37388*lu1^4)*f20[t] + 5*(4710 + 33541*lu1 - 20349*lu1^2 - 69768*lu1^3 + 25378*lu1^4)* g20[t]))/(143*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (135*Sqrt[5]*lu1*mar*f40[t]*(f42[t] - I*f42n[t])* (2*(-28014 - 463571*lu1 - 156752*lu1^2 + 983701*lu1^3 + 439116*lu1^4)*f20[t] + (152409 + 353536*lu1 - 200053*lu1^2 - 349326*lu1^3 + 122954*lu1^4)*g20[t]))/ (1001*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (135*Sqrt[5]*lu1*mar*f40[t]* (f42[t] + I*f42n[t])*(2*(-28014 - 463571*lu1 - 156752*lu1^2 + 983701*lu1^3 + 439116*lu1^4)*f20[t] + (152409 + 353536*lu1 - 200053*lu1^2 - 349326*lu1^3 + 122954*lu1^4)* g20[t]))/(1001*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (15*lu1*mar*f20[t]*(f42[t] - I*f42n[t])* (4*(-29904 - 646811*lu1 - 136037*lu1^2 + 1426336*lu1^3 + 564096*lu1^4)*f20[t] + (385683 + 953762*lu1 - 581021*lu1^2 - 1069212*lu1^3 + 402628*lu1^4)*g20[t]))/ (154*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (15*lu1*mar*f20[t]*(f42[t] + I*f42n[t])* (4*(-29904 - 646811*lu1 - 136037*lu1^2 + 1426336*lu1^3 + 564096*lu1^4)*f20[t] + (385683 + 953762*lu1 - 581021*lu1^2 - 1069212*lu1^3 + 402628*lu1^4)*g20[t]))/ (154*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + ((-1 + 5*lu1)*mar*f20[t]*(f42[t] - I*f42n[t])* (2*(-21273 - 703727*lu1 + 1029776*lu1^2 + 3478592*lu1^3 + 924832*lu1^4)*f20[t] + (188823 + 157732*lu1 - 1153551*lu1^2 - 222192*lu1^3 + 1285108*lu1^4)*g20[t]))/ (154*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + ((-1 + 5*lu1)*mar*f20[t]*(f42[t] + I*f42n[t])* (2*(-21273 - 703727*lu1 + 1029776*lu1^2 + 3478592*lu1^3 + 924832*lu1^4)*f20[t] + (188823 + 157732*lu1 - 1153551*lu1^2 - 222192*lu1^3 + 1285108*lu1^4)*g20[t]))/ (154*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar* f40[t]*(f42[t] - I*f42n[t])*(2*(-70098 - 2359118*lu1 - 869437*lu1^2 + 4722917*lu1^3 + 1768156*lu1^4)*f20[t] + (700248 + 1464493*lu1 - 1495263*lu1^2 - 1491192*lu1^3 + 1311994*lu1^4)*g20[t]))/(1001*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar*f40[t]*(f42[t] + I*f42n[t])* (2*(-70098 - 2359118*lu1 - 869437*lu1^2 + 4722917*lu1^3 + 1768156*lu1^4)*f20[t] + (700248 + 1464493*lu1 - 1495263*lu1^2 - 1491192*lu1^3 + 1311994*lu1^4)*g20[t]))/ (1001*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*Sqrt[3]*mar*f20[t]*(2*(561 + 2641*lu1 + 107*lu1^2 - 237*lu1^3)* (f22[t] + I*f22n[t])*g20[t] + f20[t]* (5*(-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)* (f22[t] + I*f22n[t]) + (147 + 32*lu1 - 4761*lu1^2 - 8474*lu1^3)* (g22[t] + I*g22n[t]))))/(98*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (5*Sqrt[3]*mar*f20[t]*(-((-237 + 448*lu1 + 5511*lu1^2 + 7334*lu1^3)* (f22[t] + I*f22n[t])*g20[t]) + f20[t]* (5*(-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)* (f22[t] + I*f22n[t]) + 2*(516 + 2881*lu1 + 482*lu1^2 - 807*lu1^3)*(g22[t] + I*g22n[t]))))/ (98*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (5*Sqrt[3]*mar*f20[t]*((1179 + 5794*lu1 - 3797*lu1^2 - 10088*lu1^3)* (f22[t] + I*f22n[t])*g20[t] + 5*f20[t]* ((-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)*(f22[t] + I*f22n[t]) + 6*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)* (g22[t] + I*g22n[t]))))/(98*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (5*mar*f20[t]*(-((483 + 19976*lu1 + 23055*lu1^2 + 129670*lu1^3)* (f22[t] + I*f22n[t])*g20[t]) + 8*f20[t]* (3*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)* (f22[t] + I*f22n[t]) - (-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)* (g22[t] + I*g22n[t]))))/(539*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*Sqrt[3]*mar*f20[t]* (-2*(-19 + 3604*lu1 + 11369*lu1^2 + 40470*lu1^3)* (f22[t] + I*f22n[t])*g20[t] + f20[t]* (8*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)* (f22[t] + I*f22n[t]) + 3*(-21 + 80*lu1 + 4039*lu1^2 + 11390*lu1^3)*(g22[t] + I*g22n[t]))))/ (1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*f20[t]*((219 - 208*lu1 + 27543*lu1^2 + 91870*lu1^3)* (f22[t] + I*f22n[t])*g20[t] + 2*f20[t]* (12*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)* (f22[t] + I*f22n[t]) - (147 + 10348*lu1 + 29703*lu1^2 + 116090*lu1^3)*(g22[t] + I*g22n[t]))))/ (539*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*(-1 + 5*lu1)*mar*f20[t]*(-((-21825 + 1844430*lu1 - 48754826*lu1^2 + 47719332*lu1^3 + 105953491*lu1^4 + 427198998*lu1^5 + 242084464*lu1^6)*(f22[t] + I*f22n[t])*g20[t]) + f20[t]*((-210771 + 7624932*lu1 - 116186678*lu1^2 + 372943596*lu1^ 3 - 576705227*lu1^4 + 1266202152*lu1^5 + 1474747996*lu1^6)* (f22[t] + I*f22n[t]) - 7*(6066 - 51969*lu1 - 1110997*lu1^2 + 2413989*lu1^3 + 26420027*lu1^4 + 38787528*lu1^5 + 6931580*lu1^6)*(g22[t] + I*g22n[t]))))/ (1078*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) + (25*Sqrt[3]*lu1*mar*f20[t]* ((113793 - 1249850*lu1 + 2944222*lu1^2 + 73032056*lu1^3 + 477724313*lu1^4 - 349016310*lu1^5 - 1460708928*lu1^6)* (f22[t] + I*f22n[t])*g20[t] + f20[t]* (3*(-2361 + 88004*lu1 - 14580554*lu1^2 + 99279308*lu1^3 - 326089721*lu1^4 - 188906440*lu1^5 + 640336564*lu1^6)* (f22[t] + I*f22n[t]) + 35*(-2991 + 31000*lu1 + 497626*lu1^2 - 2130844*lu1^3 - 10226743*lu1^4 + 1313916*lu1^5 + 19709460*lu1^6)*(g22[t] + I*g22n[t]))))/ (1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (75*Sqrt[3]*lu1*mar*f20[t]*((1275 - 113352*lu1 + 1552552*lu1^2 + 25824146*lu1^3 + 106323893*lu1^4 - 131141306*lu1^5 - 290084712*lu1^6)*(f22[t] + I*f22n[t])*g20[t] + f20[t]*(3*(1117 + 8652*lu1 - 1002830*lu1^2 + 2322820*lu1^3 - 84573155*lu1^4 + 73363784*lu1^5 + 80953404*lu1^6)* (f22[t] + I*f22n[t]) + 2*(-1314 - 2397*lu1 + 323031*lu1^2 - 783487*lu1^3 - 7875341*lu1^4 + 10121944*lu1^5 + 40316252*lu1^6)* (g22[t] + I*g22n[t]))))/(1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*(-1 + 5*lu1)*mar*f20[t]* (3*(-16074 + 76011*lu1 + 3726455*lu1^2 - 6633655*lu1^3 - 86848885*lu1^4 - 96247208*lu1^5 + 45669692*lu1^6)* (f22[t] + I*f22n[t])*g20[t] + f20[t]* ((15147 + 1106406*lu1 - 30354904*lu1^2 + 63444378*lu1^3 - 887788111*lu1^4 + 2187516336*lu1^5 + 489354188*lu1^6)* (f22[t] + I*f22n[t]) - 6*(2994 + 56804*lu1 - 2022825*lu1^2 - 8831175*lu1^3 - 64841415*lu1^4 + 45987943*lu1^5 + 79558458*lu1^6)*(g22[t] + I*g22n[t]))))/ (1078*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) + (5*(-1 + 5*lu1)*mar*f20[t]* ((-62820 + 46605*lu1 + 20201027*lu1^2 + 35971401*lu1^3 + 213913733*lu1^4 - 651590106*lu1^5 - 778018528*lu1^6)* (f22[t] + I*f22n[t])*g20[t] + f20[t]* ((15147 + 1106406*lu1 - 30354904*lu1^2 + 63444378*lu1^3 - 887788111*lu1^4 + 2187516336*lu1^5 + 489354188*lu1^6)* (f22[t] + I*f22n[t]) + 2*(-1683 - 79698*lu1 + 1557644*lu1^2 - 1442658*lu1^3 - 42705949*lu1^4 + 43460412*lu1^5 + 218838428*lu1^6)*(g22[t] + I*g22n[t]))))/ (1078*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) - (25*Sqrt[3]*lu1*mar*f20[t]* (-((38103 - 217934*lu1 - 7609264*lu1^2 + 10810298*lu1^3 + 175700709*lu1^4 + 325738308*lu1^5 + 147491908*lu1^6)* (f22[t] + I*f22n[t])*g20[t]) + f20[t]* (9*(1117 + 8652*lu1 - 1002830*lu1^2 + 2322820*lu1^3 - 84573155*lu1^4 + 73363784*lu1^5 + 80953404*lu1^6)* (f22[t] + I*f22n[t]) - 2*(-17022 + 286186*lu1 + 506711*lu1^2 - 41790907*lu1^3 - 223710171*lu1^4 + 3476973*lu1^5 + 240432358*lu1^6)*(g22[t] + I*g22n[t]))))/ (1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (10*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (10*(-3 - 13*lu1 + 16*lu1^2)*(f22[t] - I*f22n[t]) + (39 + 61*lu1 - 84*lu1^2)*(g22[t] - I*g22n[t])))/ ((3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (10*(-3 - 13*lu1 + 16*lu1^2)*(f22[t] - I*f22n[t]) + (39 + 61*lu1 - 84*lu1^2)*(g22[t] - I*g22n[t])))/ ((3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (25*Sqrt[3]*mar*f20[t]^2*((-6 + 22*lu1 + 8*lu1^2)* (f22[t] - I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)* (g22[t] - I*g22n[t])))/(7*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)* Pi) - (25*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] - I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] - I*g22n[t])))/ (14*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (25*Sqrt[3]*mar*(f22[t] + I*f22n[t])^2*((-6 + 22*lu1 + 8*lu1^2)* (f22[t] - I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)* (g22[t] - I*g22n[t])))/(14*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)* Pi) + (225*Sqrt[15]*mar*f20[t]*f40[t]*((-6 + 22*lu1 + 8*lu1^2)* (f22[t] - I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)* (g22[t] - I*g22n[t])))/(154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)* Pi) - (585*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] - I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] - I*g22n[t])))/ (154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (585*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] - I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] - I*g22n[t])))/ (154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (225*Sqrt[3/14]*mar*f20[t]*(f44[t] + I*f44n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] - I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (5*Sqrt[5/3]*mar*f20[t]*f40[t]*((-19 + 359*lu1 + 44*lu1^2)* (f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)* (g22[t] - I*g22n[t])))/(7*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)* Pi) + (75*Sqrt[3]*mar*f40[t]^2*((-19 + 359*lu1 + 44*lu1^2)* (f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)* (g22[t] - I*g22n[t])))/(154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)* Pi) - (25*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] - I*g22n[t])))/ (14*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (25*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] - I*g22n[t])))/ (14*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (195*Sqrt[3]*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] - I*g22n[t])))/ (154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (195*Sqrt[3]*mar*(f42[t] + I*f42n[t])^2*((-19 + 359*lu1 + 44*lu1^2)* (f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)* (g22[t] - I*g22n[t])))/(154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)* Pi) - (5*Sqrt[2/21]*mar*f20[t]*(f44[t] + I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] - I*g22n[t])))/ ((-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (15*Sqrt[30/7]*mar*f40[t]*(f44[t] + I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (15*Sqrt[3]*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (7*Sqrt[5/3]*mar*f20[t]*f40[t]*(3*(9 + 11*lu1 + 36*lu1^2)* (f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)* (g22[t] - I*g22n[t])))/(11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)* Pi) - (105*Sqrt[3]*mar*f40[t]^2*(3*(9 + 11*lu1 + 36*lu1^2)* (f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)* (g22[t] - I*g22n[t])))/(143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)* Pi) + (14*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (5*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (5*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (30*Sqrt[3]*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (30*Sqrt[3]*mar*(f42[t] + I*f42n[t])^2*(3*(9 + 11*lu1 + 36*lu1^2)* (f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)* (g22[t] - I*g22n[t])))/(143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)* Pi) + (Sqrt[14/3]*mar*f20[t]*(f44[t] + I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (12*Sqrt[210]*mar*f40[t]*(f44[t] + I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (30*Sqrt[3]*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (225*lu1*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (2*(903 - 1486*lu1 + 6085*lu1^2 + 738*lu1^3)*(f22[t] - I*f22n[t]) + (-1707 + 284*lu1 + 1285*lu1^2 - 4022*lu1^3)*(g22[t] - I*g22n[t])))/ (308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (225*lu1*mar*(f22[t] + I*f22n[t])* (f42[t] + I*f42n[t])*(2*(903 - 1486*lu1 + 6085*lu1^2 + 738*lu1^3)* (f22[t] - I*f22n[t]) + (-1707 + 284*lu1 + 1285*lu1^2 - 4022*lu1^3)* (g22[t] - I*g22n[t])))/(308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (125*Sqrt[3]*lu1*mar*f20[t]^2*((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*(f22[t] - I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*(g22[t] - I*g22n[t])))/(14*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (125*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* ((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*(f22[t] - I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*(g22[t] - I*g22n[t])))/ (28*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (125*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])^2* ((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*(f22[t] - I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*(g22[t] - I*g22n[t])))/ (28*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (1125*Sqrt[15]*lu1*mar*f20[t]*f40[t]* ((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*(f22[t] - I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*(g22[t] - I*g22n[t])))/ (308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (1125*Sqrt[3/14]*lu1*mar*f20[t]* (f44[t] + I*f44n[t])*((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)* (f22[t] - I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)* (g22[t] - I*g22n[t])))/(22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (25*Sqrt[3]*(-1 + 5*lu1)*mar* f20[t]^2*((42 + 32*lu1 + 514*lu1^2 + 36*lu1^3)* (f22[t] - I*f22n[t]) - (57 + 18*lu1 - 17*lu1^2 + 150*lu1^3)* (g22[t] - I*g22n[t])))/(14*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (25*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* ((42 + 32*lu1 + 514*lu1^2 + 36*lu1^3)*(f22[t] - I*f22n[t]) - (57 + 18*lu1 - 17*lu1^2 + 150*lu1^3)*(g22[t] - I*g22n[t])))/ (28*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (25*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] + I*f22n[t])^2*((42 + 32*lu1 + 514*lu1^2 + 36*lu1^3)* (f22[t] - I*f22n[t]) - (57 + 18*lu1 - 17*lu1^2 + 150*lu1^3)* (g22[t] - I*g22n[t])))/(28*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (75*Sqrt[15]*(-1 + 5*lu1)*mar* f20[t]*f40[t]*(2*(-273 - 48*lu1 - 589*lu1^2 + 310*lu1^3)* (f22[t] - I*f22n[t]) + (549 + 362*lu1 - 765*lu1^2 + 254*lu1^3)* (g22[t] - I*g22n[t])))/(308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (75*Sqrt[3/14]*(-1 + 5*lu1)*mar*f20[t]*(f44[t] + I*f44n[t])* (2*(-273 - 48*lu1 - 589*lu1^2 + 310*lu1^3)*(f22[t] - I*f22n[t]) + (549 + 362*lu1 - 765*lu1^2 + 254*lu1^3)*(g22[t] - I*g22n[t])))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (35*lu1*mar*(f22[t] + I*f22n[t])* (f42[t] - I*f42n[t])*(4*(-516 - 3715*lu1 - 1333*lu1^2 + 7916*lu1^3)* (f22[t] - I*f22n[t]) + (3837 + 4600*lu1 - 5899*lu1^2 + 598*lu1^3)* (g22[t] - I*g22n[t])))/(11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) + (7*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (2*(-129 - 745*lu1 + 218*lu1^2 + 4184*lu1^3)*(f22[t] - I*f22n[t]) + (519 - 370*lu1 - 943*lu1^2 + 3146*lu1^3)*(g22[t] - I*g22n[t])))/ (11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) - (15*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])* (f42[t] - I*f42n[t])*((4326 - 44952*lu1 + 32870*lu1^2 + 23356*lu1^3)* (f22[t] - I*f22n[t]) - (207 - 13774*lu1 + 1605*lu1^2 + 17162*lu1^3)*(g22[t] - I*g22n[t])))/ (308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (15*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])* (f42[t] + I*f42n[t])*((4326 - 44952*lu1 + 32870*lu1^2 + 23356*lu1^3)* (f22[t] - I*f22n[t]) - (207 - 13774*lu1 + 1605*lu1^2 + 17162*lu1^3)*(g22[t] - I*g22n[t])))/ (308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*f40[t]^2* ((-912954 + 2977586*lu1 - 2783276*lu1^2 - 3945884*lu1^3 + 3995888*lu1^4)*(f22[t] - I*f22n[t]) + (638247 - 738098*lu1 - 462357*lu1^2 + 3867912*lu1^3 - 252584*lu1^4)* (g22[t] - I*g22n[t])))/(4004*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (225*Sqrt[3]*lu1*mar*f40[t]^2*(4*(-47838 - 133102*lu1 - 403269*lu1^2 + 49317*lu1^3 + 336652*lu1^4)*(f22[t] - I*f22n[t]) + (259221 + 345154*lu1 - 16247*lu1^2 + 208456*lu1^3 - 187304*lu1^4)* (g22[t] - I*g22n[t])))/(4004*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (Sqrt[5/3]*(-1 + 5*lu1)*mar*f20[t]*f40[t]* (2*(-8904 + 84314*lu1 - 288167*lu1^2 - 392339*lu1^3 + 76316*lu1^4)* (f22[t] - I*f22n[t]) + (10014 - 42079*lu1 + 157227*lu1^2 + 333084*lu1^3 - 90046*lu1^4)*(g22[t] - I*g22n[t])))/ (77*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*Sqrt[15]*lu1*mar*f20[t]*f40[t]* ((-45948 + 50138*lu1 - 423984*lu1^2 - 393318*lu1^3 + 211672*lu1^4)* (f22[t] - I*f22n[t]) + (44589 + 24616*lu1 + 41167*lu1^2 + 144754*lu1^3 - 86006*lu1^4)*(g22[t] - I*g22n[t])))/ (77*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (225*Sqrt[3]*lu1*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (4*(-1578 - 61054*lu1 - 1635*lu1^2 + 141927*lu1^3 + 46660*lu1^4)* (f22[t] - I*f22n[t]) + (31035 + 85582*lu1 - 57929*lu1^2 - 113720*lu1^3 + 46072*lu1^4)*(g22[t] - I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (10*Sqrt[6/7]*lu1*mar*f20[t]* (f44[t] + I*f44n[t])*((1302 - 195547*lu1 + 51986*lu1^2 + 491807*lu1^3 + 115812*lu1^4)*(f22[t] - I*f22n[t]) + (17994 + 62851*lu1 - 50323*lu1^2 - 107391*lu1^3 + 47189*lu1^4)* (g22[t] - I*g22n[t])))/(11*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (225*Sqrt[15/14]*lu1*mar*f40[t]*(f44[t] + I*f44n[t])* (4*(-7770 - 109762*lu1 - 47351*lu1^2 + 226255*lu1^3 + 109988*lu1^4)* (f22[t] - I*f22n[t]) + (77079 + 171478*lu1 - 91917*lu1^2 - 153736*lu1^3 + 50856*lu1^4)*(g22[t] - I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (75*lu1*mar*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(4*(-9534 - 280786*lu1 - 28017*lu1^2 + 639381*lu1^3 + 226636*lu1^4)*(f22[t] - I*f22n[t]) + (152553 + 401722*lu1 - 260771*lu1^2 - 499592*lu1^3 + 197128*lu1^4)* (g22[t] - I*g22n[t])))/(308*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (75*lu1*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (4*(-9534 - 280786*lu1 - 28017*lu1^2 + 639381*lu1^3 + 226636*lu1^4)* (f22[t] - I*f22n[t]) + (152553 + 401722*lu1 - 260771*lu1^2 - 499592*lu1^3 + 197128*lu1^4)*(g22[t] - I*g22n[t])))/ (308*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (45*Sqrt[15/14]*lu1*mar*f40[t]* (f44[t] + I*f44n[t])*(4*(4494 - 207854*lu1 + 83257*lu1^2 + 540979*lu1^3 + 106644*lu1^4)*(f22[t] - I*f22n[t]) + (63087 + 256118*lu1 - 221669*lu1^2 - 488568*lu1^3 + 220792*lu1^4)* (g22[t] - I*g22n[t])))/(286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (Sqrt[2/21]*(-1 + 5*lu1)*mar*f20[t]*(f44[t] + I*f44n[t])* (2*(777 - 136667*lu1 + 270611*lu1^2 + 665087*lu1^3 + 99412*lu1^4)* (f22[t] - I*f22n[t]) + (22683 + 40567*lu1 - 232176*lu1^2 - 174492*lu1^3 + 222178*lu1^4)*(g22[t] - I*g22n[t])))/ (11*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (2*(3621 - 772289*lu1 - 181666*lu1^2 + 1492646*lu1^3 + 413608*lu1^4)* (f22[t] - I*f22n[t]) + (171921 + 469546*lu1 - 414891*lu1^2 - 643464*lu1^3 + 398968*lu1^4)*(g22[t] - I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (2*(-6573 - 325687*lu1 + 523666*lu1^2 + 1602922*lu1^3 + 374552*lu1^4)*(f22[t] - I*f22n[t]) + (78063 + 79622*lu1 - 539301*lu1^2 - 190392*lu1^3 + 576488*lu1^4)* (g22[t] - I*g22n[t])))/(308*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (2*(-6573 - 325687*lu1 + 523666*lu1^2 + 1602922*lu1^3 + 374552*lu1^4)*(f22[t] - I*f22n[t]) + (78063 + 79622*lu1 - 539301*lu1^2 - 190392*lu1^3 + 576488*lu1^4)* (g22[t] - I*g22n[t])))/(308*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (225*Sqrt[3]*lu1*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (4*(7350 - 574516*lu1 + 184467*lu1^2 + 1465575*lu1^3 + 321604*lu1^4)* (f22[t] - I*f22n[t]) + (196257 + 726034*lu1 - 600131*lu1^2 - 1298288*lu1^3 + 577408*lu1^4)*(g22[t] - I*g22n[t])))/ (4004*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (225*Sqrt[3]*lu1*mar*(f42[t] + I*f42n[t])^2* (4*(7350 - 574516*lu1 + 184467*lu1^2 + 1465575*lu1^3 + 321604*lu1^4)* (f22[t] - I*f22n[t]) + (196257 + 726034*lu1 - 600131*lu1^2 - 1298288*lu1^3 + 577408*lu1^4)*(g22[t] - I*g22n[t])))/ (4004*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*Sqrt[15/14]*(-1 + 5*lu1)*mar* f40[t]*(f44[t] + I*f44n[t])*(2*(-45087 - 1035917*lu1 - 437218*lu1^2 + 2102678*lu1^3 + 865384*lu1^4)* (f22[t] - I*f22n[t]) + (338349 + 648394*lu1 - 696759*lu1^2 - 571176*lu1^3 + 592552*lu1^4)*(g22[t] - I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar* f40[t]*(f44[t] + I*f44n[t])*(2*(115521 - 3334189*lu1 - 397226*lu1^2 + 6243166*lu1^3 + 1164488*lu1^4)* (f22[t] - I*f22n[t]) + (526749 + 1990034*lu1 - 1510719*lu1^2 - 3361896*lu1^3 + 1607672*lu1^4)*(g22[t] - I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (2*(266259 - 8853431*lu1 - 1211674*lu1^2 + 16659254*lu1^3 + 3343912*lu1^4)*(f22[t] - I*f22n[t]) + (1486047 + 5299282*lu1 - 4125177*lu1^2 - 8690328*lu1^3 + 4315456*lu1^4)*(g22[t] - I*g22n[t])))/ (4004*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f42[t] + I*f42n[t])^2*(2*(266259 - 8853431*lu1 - 1211674*lu1^2 + 16659254*lu1^3 + 3343912*lu1^4)*(f22[t] - I*f22n[t]) + (1486047 + 5299282*lu1 - 4125177*lu1^2 - 8690328*lu1^3 + 4315456*lu1^4)*(g22[t] - I*g22n[t])))/ (4004*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*Sqrt[3]*mar*f20[t]*((f22[t] - I*f22n[t])* (5*(-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)*f20[t] + 2*(561 + 2641*lu1 + 107*lu1^2 - 237*lu1^3)*g20[t]) + (147 + 32*lu1 - 4761*lu1^2 - 8474*lu1^3)*f20[t]* (g22[t] - I*g22n[t])))/(98*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (5*Sqrt[3]*mar*f20[t]*((f22[t] - I*f22n[t])* (5*(-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)*f20[t] - (-237 + 448*lu1 + 5511*lu1^2 + 7334*lu1^3)*g20[t]) + 2*(516 + 2881*lu1 + 482*lu1^2 - 807*lu1^3)*f20[t]* (g22[t] - I*g22n[t])))/(98*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (5*Sqrt[3]*mar*f20[t]*((f22[t] - I*f22n[t])* (5*(-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)*f20[t] + (1179 + 5794*lu1 - 3797*lu1^2 - 10088*lu1^3)*g20[t]) + 30*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*f20[t]*(g22[t] - I*g22n[t])))/ (98*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) - (5*mar*f20[t]*((f22[t] - I*f22n[t])*(-24*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)*f20[t] + (483 + 19976*lu1 + 23055*lu1^2 + 129670*lu1^3)*g20[t]) + 8*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*f20[t]*(g22[t] - I*g22n[t])))/ (539*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*Sqrt[3]*mar*f20[t]*(2*(f22[t] - I*f22n[t])* (4*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)*f20[t] - (-19 + 3604*lu1 + 11369*lu1^2 + 40470*lu1^3)*g20[t]) + 3*(-21 + 80*lu1 + 4039*lu1^2 + 11390*lu1^3)*f20[t]* (g22[t] - I*g22n[t])))/(1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*f20[t]*((f22[t] - I*f22n[t])*(24*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)*f20[t] + (219 - 208*lu1 + 27543*lu1^2 + 91870*lu1^3)*g20[t]) - 2*(147 + 10348*lu1 + 29703*lu1^2 + 116090*lu1^3)*f20[t]*(g22[t] - I*g22n[t])))/ (539*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*(-1 + 5*lu1)*mar*f20[t]*((f22[t] - I*f22n[t])* ((210771 - 7624932*lu1 + 116186678*lu1^2 - 372943596*lu1^3 + 576705227*lu1^4 - 1266202152*lu1^5 - 1474747996*lu1^6)*f20[t] + (-21825 + 1844430*lu1 - 48754826*lu1^2 + 47719332*lu1^3 + 105953491*lu1^4 + 427198998*lu1^5 + 242084464*lu1^6)*g20[t]) + 7*(6066 - 51969*lu1 - 1110997*lu1^2 + 2413989*lu1^3 + 26420027*lu1^4 + 38787528*lu1^5 + 6931580*lu1^6)*f20[t]* (g22[t] - I*g22n[t])))/(1078*Sqrt[3]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (25*Sqrt[3]*lu1*mar*f20[t]*((f22[t] - I*f22n[t])* (3*(-2361 + 88004*lu1 - 14580554*lu1^2 + 99279308*lu1^3 - 326089721*lu1^4 - 188906440*lu1^5 + 640336564*lu1^6)*f20[t] + (113793 - 1249850*lu1 + 2944222*lu1^2 + 73032056*lu1^3 + 477724313*lu1^4 - 349016310*lu1^5 - 1460708928*lu1^6)*g20[t]) + 35*(-2991 + 31000*lu1 + 497626*lu1^2 - 2130844*lu1^3 - 10226743*lu1^4 + 1313916*lu1^5 + 19709460*lu1^6)*f20[t]* (g22[t] - I*g22n[t])))/(1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (75*Sqrt[3]*lu1*mar*f20[t]* ((f22[t] - I*f22n[t])*(3*(1117 + 8652*lu1 - 1002830*lu1^2 + 2322820*lu1^3 - 84573155*lu1^4 + 73363784*lu1^5 + 80953404*lu1^6)*f20[t] + (1275 - 113352*lu1 + 1552552*lu1^2 + 25824146*lu1^3 + 106323893*lu1^4 - 131141306*lu1^5 - 290084712*lu1^6)*g20[t]) + 2*(-1314 - 2397*lu1 + 323031*lu1^2 - 783487*lu1^3 - 7875341*lu1^4 + 10121944*lu1^5 + 40316252*lu1^6)* f20[t]*(g22[t] - I*g22n[t])))/ (1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*(-1 + 5*lu1)*mar*f20[t]*((f22[t] - I*f22n[t])* ((15147 + 1106406*lu1 - 30354904*lu1^2 + 63444378*lu1^3 - 887788111*lu1^4 + 2187516336*lu1^5 + 489354188*lu1^6)*f20[t] + 3*(-16074 + 76011*lu1 + 3726455*lu1^2 - 6633655*lu1^3 - 86848885*lu1^4 - 96247208*lu1^5 + 45669692*lu1^6)*g20[t]) - 6*(2994 + 56804*lu1 - 2022825*lu1^2 - 8831175*lu1^3 - 64841415*lu1^4 + 45987943*lu1^5 + 79558458*lu1^6)*f20[t]* (g22[t] - I*g22n[t])))/(1078*Sqrt[3]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*(-1 + 5*lu1)*mar*f20[t]*((f22[t] - I*f22n[t])* ((15147 + 1106406*lu1 - 30354904*lu1^2 + 63444378*lu1^3 - 887788111*lu1^4 + 2187516336*lu1^5 + 489354188*lu1^6)*f20[t] + (-62820 + 46605*lu1 + 20201027*lu1^2 + 35971401*lu1^3 + 213913733*lu1^4 - 651590106*lu1^5 - 778018528*lu1^6)*g20[t]) + 2*(-1683 - 79698*lu1 + 1557644*lu1^2 - 1442658*lu1^3 - 42705949*lu1^4 + 43460412*lu1^5 + 218838428*lu1^6)*f20[t]* (g22[t] - I*g22n[t])))/(1078*Sqrt[3]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (25*Sqrt[3]*lu1*mar*f20[t]*((f22[t] - I*f22n[t])* (-9*(1117 + 8652*lu1 - 1002830*lu1^2 + 2322820*lu1^3 - 84573155*lu1^4 + 73363784*lu1^5 + 80953404*lu1^6)*f20[t] + (38103 - 217934*lu1 - 7609264*lu1^2 + 10810298*lu1^3 + 175700709*lu1^4 + 325738308*lu1^5 + 147491908*lu1^6)*g20[t]) + 2*(-17022 + 286186*lu1 + 506711*lu1^2 - 41790907*lu1^3 - 223710171*lu1^4 + 3476973*lu1^5 + 240432358*lu1^6)*f20[t]* (g22[t] - I*g22n[t])))/(1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(5*(f22[t] - I*f22n[t])* ((-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)*(f22[t] + I*f22n[t]) + 6*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)* (g22[t] + I*g22n[t])) + (1179 + 5794*lu1 - 3797*lu1^2 - 10088*lu1^3)*(f22[t] + I*f22n[t])*(g22[t] - I*g22n[t])))/ (98*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (5*Sqrt[3]*mar*(f22[t] + I*f22n[t])*((f22[t] - I*f22n[t])* (5*(-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)* (f22[t] + I*f22n[t]) - (-237 + 448*lu1 + 5511*lu1^2 + 7334*lu1^3)*(g22[t] + I*g22n[t])) + 2*(516 + 2881*lu1 + 482*lu1^2 - 807*lu1^3)*(f22[t] + I*f22n[t])* (g22[t] - I*g22n[t])))/(98*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (5*Sqrt[3]*mar*(f22[t] + I*f22n[t])*((f22[t] - I*f22n[t])* (5*(-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)* (f22[t] + I*f22n[t]) + (1179 + 5794*lu1 - 3797*lu1^2 - 10088*lu1^3)*(g22[t] + I*g22n[t])) + 30*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*(f22[t] + I*f22n[t])* (g22[t] - I*g22n[t])))/(98*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (5*Sqrt[3]*mar*(f22[t] + I*f22n[t])*((f22[t] - I*f22n[t])* (-24*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)* (f22[t] + I*f22n[t]) + (483 + 19976*lu1 + 23055*lu1^2 + 129670*lu1^3)*(g22[t] + I*g22n[t])) + 8*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(f22[t] + I*f22n[t])* (g22[t] - I*g22n[t])))/(2156*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*Sqrt[3]*mar*(f22[t] - I*f22n[t])* ((f22[t] - I*f22n[t])*(5*(-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)* (f22[t] + I*f22n[t]) + 2*(516 + 2881*lu1 + 482*lu1^2 - 807*lu1^3)*(g22[t] + I*g22n[t])) - (-237 + 448*lu1 + 5511*lu1^2 + 7334*lu1^3)*(f22[t] + I*f22n[t])* (g22[t] - I*g22n[t])))/(98*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) - (5*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(2*(f22[t] - I*f22n[t])* (4*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)* (f22[t] + I*f22n[t]) - (-19 + 3604*lu1 + 11369*lu1^2 + 40470*lu1^3)*(g22[t] + I*g22n[t])) + 3*(-21 + 80*lu1 + 4039*lu1^2 + 11390*lu1^3)*(f22[t] + I*f22n[t])* (g22[t] - I*g22n[t])))/(154*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*Sqrt[3]*mar*(f22[t] - I*f22n[t])* ((f22[t] - I*f22n[t])*(8*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)* (f22[t] + I*f22n[t]) + 3*(-21 + 80*lu1 + 4039*lu1^2 + 11390*lu1^3)*(g22[t] + I*g22n[t])) - 2*(-19 + 3604*lu1 + 11369*lu1^2 + 40470*lu1^3)*(f22[t] + I*f22n[t])* (g22[t] - I*g22n[t])))/(154*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*Sqrt[3]*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*(12*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)*(f22[t] + I*f22n[t]) - (147 + 10348*lu1 + 29703*lu1^2 + 116090*lu1^3)*(g22[t] + I*g22n[t])) + (219 - 208*lu1 + 27543*lu1^2 + 91870*lu1^3)*(f22[t] + I*f22n[t])* (g22[t] - I*g22n[t])))/(2156*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*Sqrt[3]*mar*(f22[t] + I*f22n[t])* ((f22[t] - I*f22n[t])*(24*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)* (f22[t] + I*f22n[t]) + (219 - 208*lu1 + 27543*lu1^2 + 91870*lu1^3)*(g22[t] + I*g22n[t])) - 2*(147 + 10348*lu1 + 29703*lu1^2 + 116090*lu1^3)* (f22[t] + I*f22n[t])*(g22[t] - I*g22n[t])))/ (2156*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(8*(f22[t] - I*f22n[t])* (3*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)* (f22[t] + I*f22n[t]) - (-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)* (g22[t] + I*g22n[t])) - (483 + 19976*lu1 + 23055*lu1^2 + 129670*lu1^3)*(f22[t] + I*f22n[t])*(g22[t] - I*g22n[t])))/ (2156*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (25*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*(24*(17 - 111*lu1 + 34175*lu1^2 - 128049*lu1^3 + 93392*lu1^4)*(f22[t] + I*f22n[t]) + (1773 - 12619*lu1 - 311887*lu1^2 + 118891*lu1^3 + 2028610*lu1^4)* (g22[t] + I*g22n[t])) + (-4173 + 13493*lu1 - 90553*lu1^2 + 57031*lu1^3 - 4593014*lu1^4)*(f22[t] + I*f22n[t])* (g22[t] - I*g22n[t])))/(154*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])* ((f22[t] - I*f22n[t])*(2*(5379 - 131894*lu1 + 1540207*lu1^2 - 2365456*lu1^3 + 1852244*lu1^4)*(f22[t] + I*f22n[t]) - (2055 - 55105*lu1 + 1382603*lu1^2 + 635137*lu1^3 + 760942*lu1^4)* (g22[t] + I*g22n[t])) + 2*(-57 + 316*lu1 + 7483*lu1^2 + 33626*lu1^3 + 473960*lu1^4)*(f22[t] + I*f22n[t])* (g22[t] - I*g22n[t])))/(154*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*((5379 - 131894*lu1 + 1540207*lu1^2 - 2365456*lu1^3 + 1852244*lu1^4)*(f22[t] + I*f22n[t]) + (-57 + 316*lu1 + 7483*lu1^2 + 33626*lu1^3 + 473960*lu1^4)* (g22[t] + I*g22n[t])) - (2055 - 55105*lu1 + 1382603*lu1^2 + 635137*lu1^3 + 760942*lu1^4)*(f22[t] + I*f22n[t])* (g22[t] - I*g22n[t])))/(154*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (25*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])* ((f22[t] - I*f22n[t])*(48*(17 - 111*lu1 + 34175*lu1^2 - 128049*lu1^3 + 93392*lu1^4)*(f22[t] + I*f22n[t]) + (-4173 + 13493*lu1 - 90553*lu1^2 + 57031*lu1^3 - 4593014*lu1^4)* (g22[t] + I*g22n[t])) + 2*(1773 - 12619*lu1 - 311887*lu1^2 + 118891*lu1^3 + 2028610*lu1^4)*(f22[t] + I*f22n[t])* (g22[t] - I*g22n[t])))/(154*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (75*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])* ((f22[t] - I*f22n[t])*(2*(6207 - 5068*lu1 + 2777542*lu1^2 - 39186964*lu1^3 - 217534337*lu1^4 + 424590248*lu1^5 + 44122036*lu1^6)*(f22[t] + I*f22n[t]) - (6879 + 331396*lu1 + 202550*lu1^2 - 72010340*lu1^3 - 249792145*lu1^4 + 229899688*lu1^5 + 450908852*lu1^6)* (g22[t] + I*g22n[t])) + 4*(-54 + 7977*lu1 + 2837*lu1^2 + 319251*lu1^3 - 4500487*lu1^4 - 445704*lu1^5 + 19877876*lu1^6)* (f22[t] + I*f22n[t])*(g22[t] - I*g22n[t])))/ (2156*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* ((f22[t] - I*f22n[t])*(2*(-128106 + 2152857*lu1 - 12560983*lu1^2 + 91305231*lu1^3 + 1043329553*lu1^4 - 2648173428*lu1^5 + 3342716*lu1^6)*(f22[t] + I*f22n[t]) + 3*(24513 - 7942*lu1 + 963760*lu1^2 - 65801370*lu1^3 - 371836165*lu1^4 + 90241456*lu1^5 + 183673476*lu1^6)* (g22[t] + I*g22n[t])) + 6*(17397 - 186408*lu1 - 2718070*lu1^2 + 5588100*lu1^3 + 73184885*lu1^4 + 120761964*lu1^5 + 29899844*lu1^6)*(f22[t] + I*f22n[t])*(g22[t] - I*g22n[t])))/ (2156*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) + (5*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])* ((f22[t] - I*f22n[t])*(-2*(-128106 + 2152857*lu1 - 12560983*lu1^2 + 91305231*lu1^3 + 1043329553*lu1^4 - 2648173428*lu1^5 + 3342716*lu1^6)*(f22[t] + I*f22n[t]) + (-165645 + 822330*lu1 + 13523972*lu1^2 + 163255086*lu1^3 + 775044413*lu1^4 - 1126199016*lu1^5 - 1404502708*lu1^6)* (g22[t] + I*g22n[t])) + 4*(-3069 + 79986*lu1 - 26708*lu1^2 + 155106*lu1^3 - 24661307*lu1^4 + 32725716*lu1^5 + 168520804*lu1^6)* (f22[t] + I*f22n[t])*(g22[t] - I*g22n[t])))/ (2156*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])* (2*(f22[t] - I*f22n[t])*((-128106 + 2152857*lu1 - 12560983*lu1^2 + 91305231*lu1^3 + 1043329553*lu1^4 - 2648173428*lu1^5 + 3342716*lu1^6)*(f22[t] + I*f22n[t]) + 3*(17397 - 186408*lu1 - 2718070*lu1^2 + 5588100*lu1^3 + 73184885*lu1^4 + 120761964*lu1^5 + 29899844*lu1^6)* (g22[t] + I*g22n[t])) + 3*(24513 - 7942*lu1 + 963760*lu1^2 - 65801370*lu1^3 - 371836165*lu1^4 + 90241456*lu1^5 + 183673476*lu1^6)*(f22[t] + I*f22n[t])*(g22[t] - I*g22n[t])))/ (2156*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) - (25*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])* ((f22[t] - I*f22n[t])*(6*(6207 - 5068*lu1 + 2777542*lu1^2 - 39186964*lu1^3 - 217534337*lu1^4 + 424590248*lu1^5 + 44122036*lu1^6)*(f22[t] + I*f22n[t]) + (-34665 - 606136*lu1 - 203974*lu1^2 + 159779608*lu1^3 + 776786419*lu1^4 + 515697912*lu1^5 + 505272804*lu1^6)* (g22[t] + I*g22n[t])) - 4*(-3345 + 73082*lu1 + 92408*lu1^2 - 15020606*lu1^3 + 20353957*lu1^4 + 302686356*lu1^5 + 404866212*lu1^6)*(f22[t] + I*f22n[t])*(g22[t] - I*g22n[t])))/ (2156*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (75*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*((6207 - 5068*lu1 + 2777542*lu1^2 - 39186964*lu1^3 - 217534337*lu1^4 + 424590248*lu1^5 + 44122036*lu1^6)*(f22[t] + I*f22n[t]) + 2*(-54 + 7977*lu1 + 2837*lu1^2 + 319251*lu1^3 - 4500487*lu1^4 - 445704*lu1^5 + 19877876*lu1^6)*(g22[t] + I*g22n[t])) - (6879 + 331396*lu1 + 202550*lu1^2 - 72010340*lu1^3 - 249792145*lu1^4 + 229899688*lu1^5 + 450908852*lu1^6)* (f22[t] + I*f22n[t])*(g22[t] - I*g22n[t])))/ (2156*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (25*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])* (2*(f22[t] - I*f22n[t])*(3*(6207 - 5068*lu1 + 2777542*lu1^2 - 39186964*lu1^3 - 217534337*lu1^4 + 424590248*lu1^5 + 44122036*lu1^6)*(f22[t] + I*f22n[t]) - 2*(-3345 + 73082*lu1 + 92408*lu1^2 - 15020606*lu1^3 + 20353957*lu1^4 + 302686356*lu1^5 + 404866212*lu1^6)* (g22[t] + I*g22n[t])) + (-34665 - 606136*lu1 - 203974*lu1^2 + 159779608*lu1^3 + 776786419*lu1^4 + 515697912*lu1^5 + 505272804*lu1^6)*(f22[t] + I*f22n[t])*(g22[t] - I*g22n[t])))/ (2156*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*((-128106 + 2152857*lu1 - 12560983*lu1^2 + 91305231*lu1^3 + 1043329553*lu1^4 - 2648173428*lu1^5 + 3342716*lu1^6)*(f22[t] + I*f22n[t]) - 2*(-3069 + 79986*lu1 - 26708*lu1^2 + 155106*lu1^3 - 24661307*lu1^4 + 32725716*lu1^5 + 168520804*lu1^6)* (g22[t] + I*g22n[t])) + (165645 - 822330*lu1 - 13523972*lu1^2 - 163255086*lu1^3 - 775044413*lu1^4 + 1126199016*lu1^5 + 1404502708*lu1^6)*(f22[t] + I*f22n[t])*(g22[t] - I*g22n[t])))/ (2156*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) + (10*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (10*(-3 - 13*lu1 + 16*lu1^2)*(f22[t] + I*f22n[t]) + (39 + 61*lu1 - 84*lu1^2)*(g22[t] + I*g22n[t])))/ ((3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (10*(-3 - 13*lu1 + 16*lu1^2)*(f22[t] + I*f22n[t]) + (39 + 61*lu1 - 84*lu1^2)*(g22[t] + I*g22n[t])))/ ((3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (25*Sqrt[3]*mar*f20[t]^2*((-6 + 22*lu1 + 8*lu1^2)* (f22[t] + I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)* (g22[t] + I*g22n[t])))/(7*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)* Pi) + (25*Sqrt[3]*mar*(f22[t] - I*f22n[t])^2* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] + I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] + I*g22n[t])))/ (14*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (25*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] + I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] + I*g22n[t])))/ (14*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (225*Sqrt[15]*mar*f20[t]*f40[t]*((-6 + 22*lu1 + 8*lu1^2)* (f22[t] + I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)* (g22[t] + I*g22n[t])))/(154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)* Pi) + (585*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] + I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] + I*g22n[t])))/ (154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (585*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] + I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] + I*g22n[t])))/ (154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (225*Sqrt[3/14]*mar*f20[t]*(f44[t] - I*f44n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] + I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] + I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (5*Sqrt[5/3]*mar*f20[t]*f40[t]*((-19 + 359*lu1 + 44*lu1^2)* (f22[t] + I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)* (g22[t] + I*g22n[t])))/(7*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)* Pi) + (75*Sqrt[3]*mar*f40[t]^2*((-19 + 359*lu1 + 44*lu1^2)* (f22[t] + I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)* (g22[t] + I*g22n[t])))/(154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)* Pi) + (25*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] + I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] + I*g22n[t])))/ (14*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (25*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] + I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] + I*g22n[t])))/ (14*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (195*Sqrt[3]*mar*(f42[t] - I*f42n[t])^2*((-19 + 359*lu1 + 44*lu1^2)* (f22[t] + I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)* (g22[t] + I*g22n[t])))/(154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)* Pi) - (195*Sqrt[3]*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] + I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] + I*g22n[t])))/ (154*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (5*Sqrt[2/21]*mar*f20[t]*(f44[t] - I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] + I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] + I*g22n[t])))/ ((-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (15*Sqrt[30/7]*mar*f40[t]*(f44[t] - I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] + I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] + I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (15*Sqrt[3]*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] + I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] + I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (7*Sqrt[5/3]*mar*f20[t]*f40[t]*(3*(9 + 11*lu1 + 36*lu1^2)* (f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)* (g22[t] + I*g22n[t])))/(11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)* Pi) - (105*Sqrt[3]*mar*f40[t]^2*(3*(9 + 11*lu1 + 36*lu1^2)* (f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)* (g22[t] + I*g22n[t])))/(143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)* Pi) + (5*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] + I*g22n[t])))/ (11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (5*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] + I*g22n[t])))/ (11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (30*Sqrt[3]*mar*(f42[t] - I*f42n[t])^2*(3*(9 + 11*lu1 + 36*lu1^2)* (f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)* (g22[t] + I*g22n[t])))/(143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)* Pi) + (14*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] + I*g22n[t])))/ (11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (30*Sqrt[3]*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] + I*g22n[t])))/ (143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (Sqrt[14/3]*mar*f20[t]*(f44[t] - I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] + I*g22n[t])))/ (11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (12*Sqrt[210]*mar*f40[t]*(f44[t] - I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] + I*g22n[t])))/ (143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (30*Sqrt[3]*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] + I*g22n[t])))/ (143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (225*lu1*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (2*(903 - 1486*lu1 + 6085*lu1^2 + 738*lu1^3)*(f22[t] + I*f22n[t]) + (-1707 + 284*lu1 + 1285*lu1^2 - 4022*lu1^3)*(g22[t] + I*g22n[t])))/ (308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (225*lu1*mar*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(2*(903 - 1486*lu1 + 6085*lu1^2 + 738*lu1^3)* (f22[t] + I*f22n[t]) + (-1707 + 284*lu1 + 1285*lu1^2 - 4022*lu1^3)* (g22[t] + I*g22n[t])))/(308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (125*Sqrt[3]*lu1*mar*f20[t]^2*((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*(f22[t] + I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*(g22[t] + I*g22n[t])))/(14*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (125*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])^2* ((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*(f22[t] + I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*(g22[t] + I*g22n[t])))/ (28*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (125*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])* (f22[t] + I*f22n[t])*((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)* (f22[t] + I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)* (g22[t] + I*g22n[t])))/(28*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (1125*Sqrt[15]*lu1*mar*f20[t]* f40[t]*((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)* (f22[t] + I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)* (g22[t] + I*g22n[t])))/(308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (1125*Sqrt[3/14]*lu1*mar*f20[t]*(f44[t] - I*f44n[t])* ((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*(f22[t] + I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*(g22[t] + I*g22n[t])))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (25*Sqrt[3]*(-1 + 5*lu1)*mar*f20[t]^2* ((42 + 32*lu1 + 514*lu1^2 + 36*lu1^3)*(f22[t] + I*f22n[t]) - (57 + 18*lu1 - 17*lu1^2 + 150*lu1^3)*(g22[t] + I*g22n[t])))/ (14*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (25*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])^2*((42 + 32*lu1 + 514*lu1^2 + 36*lu1^3)* (f22[t] + I*f22n[t]) - (57 + 18*lu1 - 17*lu1^2 + 150*lu1^3)* (g22[t] + I*g22n[t])))/(28*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (25*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* ((42 + 32*lu1 + 514*lu1^2 + 36*lu1^3)*(f22[t] + I*f22n[t]) - (57 + 18*lu1 - 17*lu1^2 + 150*lu1^3)*(g22[t] + I*g22n[t])))/ (28*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (75*Sqrt[15]*(-1 + 5*lu1)*mar*f20[t]*f40[t]* (2*(-273 - 48*lu1 - 589*lu1^2 + 310*lu1^3)*(f22[t] + I*f22n[t]) + (549 + 362*lu1 - 765*lu1^2 + 254*lu1^3)*(g22[t] + I*g22n[t])))/ (308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (75*Sqrt[3/14]*(-1 + 5*lu1)*mar*f20[t]* (f44[t] - I*f44n[t])*(2*(-273 - 48*lu1 - 589*lu1^2 + 310*lu1^3)* (f22[t] + I*f22n[t]) + (549 + 362*lu1 - 765*lu1^2 + 254*lu1^3)* (g22[t] + I*g22n[t])))/(22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (35*lu1*mar*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(4*(-516 - 3715*lu1 - 1333*lu1^2 + 7916*lu1^3)* (f22[t] + I*f22n[t]) + (3837 + 4600*lu1 - 5899*lu1^2 + 598*lu1^3)* (g22[t] + I*g22n[t])))/(11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) + (7*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (2*(-129 - 745*lu1 + 218*lu1^2 + 4184*lu1^3)*(f22[t] + I*f22n[t]) + (519 - 370*lu1 - 943*lu1^2 + 3146*lu1^3)*(g22[t] + I*g22n[t])))/ (11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) + (15*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*((4326 - 44952*lu1 + 32870*lu1^2 + 23356*lu1^3)* (f22[t] + I*f22n[t]) - (207 - 13774*lu1 + 1605*lu1^2 + 17162*lu1^3)*(g22[t] + I*g22n[t])))/ (308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (15*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*((4326 - 44952*lu1 + 32870*lu1^2 + 23356*lu1^3)* (f22[t] + I*f22n[t]) - (207 - 13774*lu1 + 1605*lu1^2 + 17162*lu1^3)*(g22[t] + I*g22n[t])))/ (308*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*f40[t]^2* ((-912954 + 2977586*lu1 - 2783276*lu1^2 - 3945884*lu1^3 + 3995888*lu1^4)*(f22[t] + I*f22n[t]) + (638247 - 738098*lu1 - 462357*lu1^2 + 3867912*lu1^3 - 252584*lu1^4)* (g22[t] + I*g22n[t])))/(4004*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (225*Sqrt[3]*lu1*mar*f40[t]^2*(4*(-47838 - 133102*lu1 - 403269*lu1^2 + 49317*lu1^3 + 336652*lu1^4)*(f22[t] + I*f22n[t]) + (259221 + 345154*lu1 - 16247*lu1^2 + 208456*lu1^3 - 187304*lu1^4)* (g22[t] + I*g22n[t])))/(4004*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (Sqrt[5/3]*(-1 + 5*lu1)*mar*f20[t]*f40[t]* (2*(-8904 + 84314*lu1 - 288167*lu1^2 - 392339*lu1^3 + 76316*lu1^4)* (f22[t] + I*f22n[t]) + (10014 - 42079*lu1 + 157227*lu1^2 + 333084*lu1^3 - 90046*lu1^4)*(g22[t] + I*g22n[t])))/ (77*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*Sqrt[15]*lu1*mar*f20[t]*f40[t]* ((-45948 + 50138*lu1 - 423984*lu1^2 - 393318*lu1^3 + 211672*lu1^4)* (f22[t] + I*f22n[t]) + (44589 + 24616*lu1 + 41167*lu1^2 + 144754*lu1^3 - 86006*lu1^4)*(g22[t] + I*g22n[t])))/ (77*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (225*Sqrt[3]*lu1*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (4*(-1578 - 61054*lu1 - 1635*lu1^2 + 141927*lu1^3 + 46660*lu1^4)* (f22[t] + I*f22n[t]) + (31035 + 85582*lu1 - 57929*lu1^2 - 113720*lu1^3 + 46072*lu1^4)*(g22[t] + I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (10*Sqrt[6/7]*lu1*mar*f20[t]* (f44[t] - I*f44n[t])*((1302 - 195547*lu1 + 51986*lu1^2 + 491807*lu1^3 + 115812*lu1^4)*(f22[t] + I*f22n[t]) + (17994 + 62851*lu1 - 50323*lu1^2 - 107391*lu1^3 + 47189*lu1^4)* (g22[t] + I*g22n[t])))/(11*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (225*Sqrt[15/14]*lu1*mar*f40[t]*(f44[t] - I*f44n[t])* (4*(-7770 - 109762*lu1 - 47351*lu1^2 + 226255*lu1^3 + 109988*lu1^4)* (f22[t] + I*f22n[t]) + (77079 + 171478*lu1 - 91917*lu1^2 - 153736*lu1^3 + 50856*lu1^4)*(g22[t] + I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (75*lu1*mar*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(4*(-9534 - 280786*lu1 - 28017*lu1^2 + 639381*lu1^3 + 226636*lu1^4)*(f22[t] + I*f22n[t]) + (152553 + 401722*lu1 - 260771*lu1^2 - 499592*lu1^3 + 197128*lu1^4)* (g22[t] + I*g22n[t])))/(308*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (75*lu1*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (4*(-9534 - 280786*lu1 - 28017*lu1^2 + 639381*lu1^3 + 226636*lu1^4)* (f22[t] + I*f22n[t]) + (152553 + 401722*lu1 - 260771*lu1^2 - 499592*lu1^3 + 197128*lu1^4)*(g22[t] + I*g22n[t])))/ (308*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (45*Sqrt[15/14]*lu1*mar*f40[t]* (f44[t] - I*f44n[t])*(4*(4494 - 207854*lu1 + 83257*lu1^2 + 540979*lu1^3 + 106644*lu1^4)*(f22[t] + I*f22n[t]) + (63087 + 256118*lu1 - 221669*lu1^2 - 488568*lu1^3 + 220792*lu1^4)* (g22[t] + I*g22n[t])))/(286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (Sqrt[2/21]*(-1 + 5*lu1)*mar*f20[t]*(f44[t] - I*f44n[t])* (2*(777 - 136667*lu1 + 270611*lu1^2 + 665087*lu1^3 + 99412*lu1^4)* (f22[t] + I*f22n[t]) + (22683 + 40567*lu1 - 232176*lu1^2 - 174492*lu1^3 + 222178*lu1^4)*(g22[t] + I*g22n[t])))/ (11*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (2*(3621 - 772289*lu1 - 181666*lu1^2 + 1492646*lu1^3 + 413608*lu1^4)* (f22[t] + I*f22n[t]) + (171921 + 469546*lu1 - 414891*lu1^2 - 643464*lu1^3 + 398968*lu1^4)*(g22[t] + I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (2*(-6573 - 325687*lu1 + 523666*lu1^2 + 1602922*lu1^3 + 374552*lu1^4)*(f22[t] + I*f22n[t]) + (78063 + 79622*lu1 - 539301*lu1^2 - 190392*lu1^3 + 576488*lu1^4)* (g22[t] + I*g22n[t])))/(308*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (2*(-6573 - 325687*lu1 + 523666*lu1^2 + 1602922*lu1^3 + 374552*lu1^4)*(f22[t] + I*f22n[t]) + (78063 + 79622*lu1 - 539301*lu1^2 - 190392*lu1^3 + 576488*lu1^4)* (g22[t] + I*g22n[t])))/(308*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (225*Sqrt[3]*lu1*mar*(f42[t] - I*f42n[t])^2* (4*(7350 - 574516*lu1 + 184467*lu1^2 + 1465575*lu1^3 + 321604*lu1^4)* (f22[t] + I*f22n[t]) + (196257 + 726034*lu1 - 600131*lu1^2 - 1298288*lu1^3 + 577408*lu1^4)*(g22[t] + I*g22n[t])))/ (4004*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (225*Sqrt[3]*lu1*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (4*(7350 - 574516*lu1 + 184467*lu1^2 + 1465575*lu1^3 + 321604*lu1^4)* (f22[t] + I*f22n[t]) + (196257 + 726034*lu1 - 600131*lu1^2 - 1298288*lu1^3 + 577408*lu1^4)*(g22[t] + I*g22n[t])))/ (4004*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*Sqrt[15/14]*(-1 + 5*lu1)*mar* f40[t]*(f44[t] - I*f44n[t])*(2*(-45087 - 1035917*lu1 - 437218*lu1^2 + 2102678*lu1^3 + 865384*lu1^4)* (f22[t] + I*f22n[t]) + (338349 + 648394*lu1 - 696759*lu1^2 - 571176*lu1^3 + 592552*lu1^4)*(g22[t] + I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar* f40[t]*(f44[t] - I*f44n[t])*(2*(115521 - 3334189*lu1 - 397226*lu1^2 + 6243166*lu1^3 + 1164488*lu1^4)* (f22[t] + I*f22n[t]) + (526749 + 1990034*lu1 - 1510719*lu1^2 - 3361896*lu1^3 + 1607672*lu1^4)*(g22[t] + I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f42[t] - I*f42n[t])^2*(2*(266259 - 8853431*lu1 - 1211674*lu1^2 + 16659254*lu1^3 + 3343912*lu1^4)*(f22[t] + I*f22n[t]) + (1486047 + 5299282*lu1 - 4125177*lu1^2 - 8690328*lu1^3 + 4315456*lu1^4)*(g22[t] + I*g22n[t])))/ (4004*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (2*(266259 - 8853431*lu1 - 1211674*lu1^2 + 16659254*lu1^3 + 3343912*lu1^4)*(f22[t] + I*f22n[t]) + (1486047 + 5299282*lu1 - 4125177*lu1^2 - 8690328*lu1^3 + 4315456*lu1^4)*(g22[t] + I*g22n[t])))/ (4004*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*Sqrt[5/3]*mar*f20[t]*(f22[t] - I*f22n[t])*((-50 + 4*lu1)*f40[t] + 7*(1 + lu1)*g40[t]))/(7*(3 + 32*lu1 + 20*lu1^2)*Pi) - (5*Sqrt[5/3]*mar*f20[t]*(f22[t] + I*f22n[t])*((-50 + 4*lu1)*f40[t] + 7*(1 + lu1)*g40[t]))/(7*(3 + 32*lu1 + 20*lu1^2)*Pi) - (75*Sqrt[3]*mar*(f22[t] - I*f22n[t])*f40[t]*((-50 + 4*lu1)*f40[t] + 7*(1 + lu1)*g40[t]))/(154*(3 + 32*lu1 + 20*lu1^2)*Pi) - (75*Sqrt[3]*mar*(f22[t] + I*f22n[t])*f40[t]*((-50 + 4*lu1)*f40[t] + 7*(1 + lu1)*g40[t]))/(154*(3 + 32*lu1 + 20*lu1^2)*Pi) + (15*Sqrt[15/14]*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* ((-50 + 4*lu1)*f40[t] + 7*(1 + lu1)*g40[t]))/ (11*(3 + 32*lu1 + 20*lu1^2)*Pi) + (15*Sqrt[15/14]*mar*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* ((-50 + 4*lu1)*f40[t] + 7*(1 + lu1)*g40[t]))/ (11*(3 + 32*lu1 + 20*lu1^2)*Pi) - (7*Sqrt[5/3]*mar*f20[t]* (f22[t] - I*f22n[t])*(4*(-17 + 323*lu1 + 16*lu1^2)*f40[t] + (16 - 115*lu1 - 293*lu1^2)*g40[t]))/(11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (7*Sqrt[5/3]*mar*f20[t]*(f22[t] + I*f22n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*f40[t] + (16 - 115*lu1 - 293*lu1^2)* g40[t]))/(11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (105*Sqrt[3]*mar*(f22[t] - I*f22n[t])*f40[t]* (4*(-17 + 323*lu1 + 16*lu1^2)*f40[t] + (16 - 115*lu1 - 293*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (105*Sqrt[3]*mar*(f22[t] + I*f22n[t])*f40[t]* (4*(-17 + 323*lu1 + 16*lu1^2)*f40[t] + (16 - 115*lu1 - 293*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (15*Sqrt[210]*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*f40[t] + (16 - 115*lu1 - 293*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (15*Sqrt[210]*mar*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*f40[t] + (16 - 115*lu1 - 293*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (100*(-1 + 5*lu1)*mar*f40[t]*(f42[t] - I*f42n[t])* ((46 - 394*lu1 + 532*lu1^2)*f40[t] + (13 + 215*lu1 - 284*lu1^2)* g40[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (100*(-1 + 5*lu1)*mar*f40[t]*(f42[t] + I*f42n[t])* ((46 - 394*lu1 + 532*lu1^2)*f40[t] + (13 + 215*lu1 - 284*lu1^2)* g40[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (7350*mar*f40[t]*(f42[t] - I*f42n[t])*((47 - 1265*lu1 + 794*lu1^2)* f40[t] + 9*(-3 + lu1 + 58*lu1^2)*g40[t]))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (7350*mar*f40[t]*(f42[t] + I*f42n[t])*((47 - 1265*lu1 + 794*lu1^2)* f40[t] + 9*(-3 + lu1 + 58*lu1^2)*g40[t]))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (315*Sqrt[70]*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*f40[t] + 9*(-3 + lu1 + 58*lu1^2)* g40[t]))/(20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (315*Sqrt[70]*mar*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*f40[t] + 9*(-3 + lu1 + 58*lu1^2)* g40[t]))/(20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (15*Sqrt[5]*mar*f20[t]*(f42[t] - I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*f40[t] + 7*(-5 - 61*lu1 + 106*lu1^2)* g40[t]))/(77*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (675*mar*f40[t]*(f42[t] - I*f42n[t])*((-95 + 497*lu1 + 2374*lu1^2)* f40[t] + 7*(-5 - 61*lu1 + 106*lu1^2)*g40[t]))/ (1694*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (15*Sqrt[5]*mar*f20[t]*(f42[t] + I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*f40[t] + 7*(-5 - 61*lu1 + 106*lu1^2)* g40[t]))/(77*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (675*mar*f40[t]*(f42[t] + I*f42n[t])*((-95 + 497*lu1 + 2374*lu1^2)* f40[t] + 7*(-5 - 61*lu1 + 106*lu1^2)*g40[t]))/ (1694*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (135*Sqrt[5/14]*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*f40[t] + 7*(-5 - 61*lu1 + 106*lu1^2)* g40[t]))/(121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (135*Sqrt[5/14]*mar*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*f40[t] + 7*(-5 - 61*lu1 + 106*lu1^2)* g40[t]))/(121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (21*Sqrt[5]*mar*f20[t]*(f42[t] - I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (945*mar*f40[t]*(f42[t] - I*f42n[t])*((-41 - 817*lu1 + 1978*lu1^2)* f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)*g40[t]))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (21*Sqrt[5]*mar*f20[t]*(f42[t] + I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (945*mar*f40[t]*(f42[t] + I*f42n[t])*((-41 - 817*lu1 + 1978*lu1^2)* f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)*g40[t]))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (6*Sqrt[210]*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (135*Sqrt[70]*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)* g40[t]))/(1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (6*Sqrt[210]*mar*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (135*Sqrt[70]*mar*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)* g40[t]))/(1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (15*Sqrt[210]*lu1*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (2*(11742 - 83339*lu1 - 130117*lu1^2 + 233074*lu1^3)*f40[t] + (6789 + 107456*lu1 - 68105*lu1^2 - 2236*lu1^3)*g40[t]))/ (143*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (15*Sqrt[210]*lu1*mar*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (2*(11742 - 83339*lu1 - 130117*lu1^2 + 233074*lu1^3)*f40[t] + (6789 + 107456*lu1 - 68105*lu1^2 - 2236*lu1^3)*g40[t]))/ (143*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3*Sqrt[210]*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(2*(1837 - 15194*lu1 - 30577*lu1^2 + 67454*lu1^3)*f40[t] + (923 + 14300*lu1 - 20099*lu1^2 + 37804*lu1^3)*g40[t]))/(143*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) + (3*Sqrt[210]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(2*(1837 - 15194*lu1 - 30577*lu1^2 + 67454*lu1^3)*f40[t] + (923 + 14300*lu1 - 20099*lu1^2 + 37804*lu1^3)*g40[t]))/(143*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (225*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*f40[t]* (2*(115467 + 441063*lu1 - 5598098*lu1^2 - 127168*lu1^3 + 1510816*lu1^4)*f40[t] + (144651 + 1616256*lu1 + 1276577*lu1^2 - 341300*lu1^3 - 469624*lu1^4)*g40[t]))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (225*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])*f40[t]* (2*(115467 + 441063*lu1 - 5598098*lu1^2 - 127168*lu1^3 + 1510816*lu1^4)*f40[t] + (144651 + 1616256*lu1 + 1276577*lu1^2 - 341300*lu1^3 - 469624*lu1^4)*g40[t]))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (225*Sqrt[15/14]*lu1*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (2*(50793 - 118419*lu1 - 1559062*lu1^2 - 305504*lu1^3 + 644192*lu1^4)*f40[t] + (40521 + 583008*lu1 + 573787*lu1^2 - 208828*lu1^3 - 204488*lu1^4)*g40[t]))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (225*Sqrt[15/14]*lu1*mar* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (2*(50793 - 118419*lu1 - 1559062*lu1^2 - 305504*lu1^3 + 644192*lu1^4)*f40[t] + (40521 + 583008*lu1 + 573787*lu1^2 - 208828*lu1^3 - 204488*lu1^4)*g40[t]))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[15]*lu1*mar*f20[t]* (f22[t] - I*f22n[t])*((23106 + 403704*lu1 - 2032414*lu1^2 + 226516*lu1^3 + 322928*lu1^4)*f40[t] + (26139 + 226314*lu1 + 121553*lu1^2 - 4520*lu1^3 - 48046*lu1^4)* g40[t]))/(77*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (5*Sqrt[15]*lu1*mar*f20[t]*(f22[t] + I*f22n[t])* ((23106 + 403704*lu1 - 2032414*lu1^2 + 226516*lu1^3 + 322928*lu1^4)* f40[t] + (26139 + 226314*lu1 + 121553*lu1^2 - 4520*lu1^3 - 48046*lu1^4)*g40[t]))/(77*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (Sqrt[5/3]*(-1 + 5*lu1)*mar*f20[t]* (f22[t] - I*f22n[t])*(2*(-12294 + 11291*lu1 + 1321161*lu1^2 + 84174*lu1^3 + 67208*lu1^4)*f40[t] - (7794 + 93875*lu1 + 194559*lu1^2 + 440250*lu1^3 + 159242*lu1^4)* g40[t]))/(77*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (Sqrt[5/3]*(-1 + 5*lu1)*mar*f20[t]*(f22[t] + I*f22n[t])* (2*(-12294 + 11291*lu1 + 1321161*lu1^2 + 84174*lu1^3 + 67208*lu1^4)* f40[t] - (7794 + 93875*lu1 + 194559*lu1^2 + 440250*lu1^3 + 159242*lu1^4)*g40[t]))/(77*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[15/14]*(-1 + 5*lu1)*mar* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (2*(84051 + 1101527*lu1 - 6013674*lu1^2 - 3388272*lu1^3 + 2124128*lu1^4)*f40[t] + (159435 + 1532116*lu1 + 1477701*lu1^2 + 358980*lu1^3 + 180088*lu1^4)*g40[t]))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[15/14]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (2*(84051 + 1101527*lu1 - 6013674*lu1^2 - 3388272*lu1^3 + 2124128*lu1^4)*f40[t] + (159435 + 1532116*lu1 + 1477701*lu1^2 + 358980*lu1^3 + 180088*lu1^4)*g40[t]))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (45*Sqrt[5]*lu1*mar*f20[t]* (f42[t] - I*f42n[t])*(2*(509394 - 3673887*lu1 - 7123666*lu1^2 + 7371037*lu1^3 + 8407922*lu1^4)*f40[t] + (261393 + 4714944*lu1 + 695473*lu1^2 - 3359722*lu1^3 + 329992*lu1^4)*g40[t]))/(1001*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (45*Sqrt[5]*lu1*mar*f20[t]* (f42[t] + I*f42n[t])*(2*(509394 - 3673887*lu1 - 7123666*lu1^2 + 7371037*lu1^3 + 8407922*lu1^4)*f40[t] + (261393 + 4714944*lu1 + 695473*lu1^2 - 3359722*lu1^3 + 329992*lu1^4)*g40[t]))/(1001*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*f40[t]*((249138 + 8723050*lu1 - 48348252*lu1^2 - 9449184*lu1^3 + 3719488*lu1^4)*f40[t] + (408897 + 2947276*lu1 + 2804895*lu1^2 + 5337708*lu1^3 + 2229064*lu1^4)*g40[t]))/(4004*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] + I*f22n[t])*f40[t]*((249138 + 8723050*lu1 - 48348252*lu1^2 - 9449184*lu1^3 + 3719488*lu1^4)*f40[t] + (408897 + 2947276*lu1 + 2804895*lu1^2 + 5337708*lu1^3 + 2229064*lu1^4)*g40[t]))/(4004*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar*f20[t]* (f42[t] - I*f42n[t])*(2*(256212 - 2098726*lu1 - 4120023*lu1^2 + 8262771*lu1^3 + 8790986*lu1^4)*f40[t] + (120978 + 2110537*lu1 - 1380849*lu1^2 + 886278*lu1^3 + 3952936*lu1^4)*g40[t]))/(1001*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar*f20[t]* (f42[t] + I*f42n[t])*(2*(256212 - 2098726*lu1 - 4120023*lu1^2 + 8262771*lu1^3 + 8790986*lu1^4)*f40[t] + (120978 + 2110537*lu1 - 1380849*lu1^2 + 886278*lu1^3 + 3952936*lu1^4)*g40[t]))/(1001*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (675*Sqrt[5/14]*lu1*mar* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (2*(-874134 + 4933323*lu1 + 8965007*lu1^2 + 26099888*lu1^3 + 27901516*lu1^4 + 40121440*lu1^5)*f40[t] + 3*(-178095 - 3090156*lu1 - 1680349*lu1^2 + 4723364*lu1^3 - 9074204*lu1^4 + 2572720*lu1^5)*g40[t]))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (675*Sqrt[5/14]*lu1*mar*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(2*(-874134 + 4933323*lu1 + 8965007*lu1^2 + 26099888*lu1^3 + 27901516*lu1^4 + 40121440*lu1^5)*f40[t] + 3*(-178095 - 3090156*lu1 - 1680349*lu1^2 + 4723364*lu1^3 - 9074204*lu1^4 + 2572720*lu1^5)*g40[t]))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(2*(1063917 - 13401134*lu1 - 62025391*lu1^2 - 26149884*lu1^3 + 66670132*lu1^4 + 114103520*lu1^5)*f40[t] + (-332649 + 5124506*lu1 + 41361679*lu1^2 + 11898156*lu1^3 - 103700812*lu1^4 + 11204080*lu1^5)*g40[t]))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(2*(1063917 - 13401134*lu1 - 62025391*lu1^2 - 26149884*lu1^3 + 66670132*lu1^4 + 114103520*lu1^5)*f40[t] + (-332649 + 5124506*lu1 + 41361679*lu1^2 + 11898156*lu1^3 - 103700812*lu1^4 + 11204080*lu1^5)*g40[t]))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (225*lu1*mar*f40[t]*(f42[t] - I*f42n[t])* (2*(242236314 - 657571149*lu1 - 8189160985*lu1^2 - 6463793200*lu1^3 + 10345240156*lu1^4 + 7978300864*lu1^5)*f40[t] - 9*(-18495507 - 308365020*lu1 - 589574249*lu1^2 - 13595116*lu1^3 + 280666388*lu1^4 + 23778544*lu1^5)*g40[t]))/ (572572*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (225*lu1*mar*f40[t]*(f42[t] + I*f42n[t])* (2*(242236314 - 657571149*lu1 - 8189160985*lu1^2 - 6463793200*lu1^3 + 10345240156*lu1^4 + 7978300864*lu1^5)*f40[t] - 9*(-18495507 - 308365020*lu1 - 589574249*lu1^2 - 13595116*lu1^3 + 280666388*lu1^4 + 23778544*lu1^5)*g40[t]))/ (572572*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (45*(-1 + 5*lu1)*mar*f40[t]*(f42[t] - I*f42n[t])* (2*(81947367 - 241581610*lu1 - 3151602669*lu1^2 - 2827517956*lu1^3 + 3955165164*lu1^4 + 3386280704*lu1^5)*f40[t] + (55202949 + 891684958*lu1 + 1437391133*lu1^2 - 113520828*lu1^3 + 431170204*lu1^4 + 967062224*lu1^5)*g40[t]))/ (572572*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (45*(-1 + 5*lu1)*mar*f40[t]*(f42[t] + I*f42n[t])* (2*(81947367 - 241581610*lu1 - 3151602669*lu1^2 - 2827517956*lu1^3 + 3955165164*lu1^4 + 3386280704*lu1^5)*f40[t] + (55202949 + 891684958*lu1 + 1437391133*lu1^2 - 113520828*lu1^3 + 431170204*lu1^4 + 967062224*lu1^5)*g40[t]))/ (572572*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (405*Sqrt[3]*mar*f40[t]*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + (237 + 9992*lu1 - 50751*lu1^2 - 139574*lu1^3)*g40[t])))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (405*Sqrt[3]*mar*f40[t]*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)*f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + (237 + 9992*lu1 - 50751*lu1^2 - 139574*lu1^3)*g40[t])))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (25*Sqrt[3]*mar*f40[t]*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*f40[t] + 2*(-935 - 18197*lu1 - 15889*lu1^2 + 10445*lu1^3)*g40[t])))/ (539*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (25*Sqrt[3]*mar*f40[t]*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*f40[t] + 2*(-935 - 18197*lu1 - 15889*lu1^2 + 10445*lu1^3)*g40[t])))/ (539*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*Sqrt[3]*mar*f40[t]*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)* f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*f40[t] + (399 + 3200*lu1 + 9219*lu1^2 + 22510*lu1^3)*g40[t])))/ (1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*Sqrt[3]*mar*f40[t]*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)* f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*f40[t] + (399 + 3200*lu1 + 9219*lu1^2 + 22510*lu1^3)*g40[t])))/ (1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (135*Sqrt[3]*mar*f40[t]*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + 9*(169 + 2870*lu1 + 17041*lu1^2 + 103440*lu1^3)*g40[t])))/ (28028*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (135*Sqrt[3]*mar*f40[t]*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + 9*(169 + 2870*lu1 + 17041*lu1^2 + 103440*lu1^3)*g40[t])))/ (28028*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (405*Sqrt[3]*mar*f40[t]*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* f40[t]*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] + (27129 + 696995*lu1 + 83293*lu1^2 - 24617655*lu1^3 - 62448466*lu1^4 - 36043760*lu1^5)*g40[t])))/ (154154*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (405*Sqrt[3]*mar*f40[t]*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* f40[t]*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* (8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] + (27129 + 696995*lu1 + 83293*lu1^2 - 24617655*lu1^3 - 62448466*lu1^4 - 36043760*lu1^5)*g40[t])))/ (154154*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*mar*f40[t]*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*f40[t]* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*f40[t] - 2*(549 + 26895*lu1 - 302045*lu1^2 - 125155*lu1^3 + 4225640*lu1^4 + 6122788*lu1^5)*g40[t])))/ (1078*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (5*Sqrt[3]*mar*f40[t]*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*f40[t]* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*f40[t] - 2*(549 + 26895*lu1 - 302045*lu1^2 - 125155*lu1^3 + 4225640*lu1^4 + 6122788*lu1^5)*g40[t])))/ (1078*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (50*Sqrt[3]*mar*f40[t]*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*f40[t] - 7*(-573 - 32827*lu1 - 40051*lu1^2 + 319639*lu1^3 + 6851944*lu1^4 + 12611820*lu1^5)*g40[t])))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (50*Sqrt[3]*mar*f40[t]*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*f40[t] - 7*(-573 - 32827*lu1 - 40051*lu1^2 + 319639*lu1^3 + 6851944*lu1^4 + 12611820*lu1^5)*g40[t])))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (75*Sqrt[3]*lu1*mar*f40[t]*(4*(-58398 + 467045*lu1 + 10537089*lu1^2 - 16419065*lu1^3 - 180702763*lu1^4 - 78237960*lu1^5 + 600441700*lu1^6)*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(6*(564753 - 6273396*lu1 + 87352622*lu1^2 - 261948816*lu1^3 - 2707776075*lu1^4 + 2716135532*lu1^5 + 11955072420*lu1^6)*f40[t] + (1103475 + 29005442*lu1 - 59704986*lu1^2 - 653537204*lu1^3 + 1821028295*lu1^4 - 4512322374*lu1^5 - 17832006440*lu1^6)*g40[t])))/ (28028*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^3*Pi) - (75*Sqrt[3]*lu1*mar*f40[t]*(4*(-58398 + 467045*lu1 + 10537089*lu1^2 - 16419065*lu1^3 - 180702763*lu1^4 - 78237960*lu1^5 + 600441700*lu1^6)*f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(6*(564753 - 6273396*lu1 + 87352622*lu1^2 - 261948816*lu1^3 - 2707776075*lu1^4 + 2716135532*lu1^5 + 11955072420*lu1^6)*f40[t] + (1103475 + 29005442*lu1 - 59704986*lu1^2 - 653537204*lu1^3 + 1821028295*lu1^4 - 4512322374*lu1^5 - 17832006440*lu1^6)*g40[t])))/ (28028*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^3*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*f40[t]* (-((4302957 + 75887382*lu1 + 878393726*lu1^2 + 1126153488*lu1^3 - 1833323491*lu1^4 - 135330654*lu1^5 + 761967920*lu1^6)*f40[t]* (g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])* (3*(1580156 - 3236667*lu1 + 135146987*lu1^2 + 603032281*lu1^3 - 10611027*lu1^4 + 938389166*lu1^5 + 967825568*lu1^6)*f40[t] + (189765 + 741792*lu1 - 43462382*lu1^2 + 53996964*lu1^3 + 857479837*lu1^4 + 516101076*lu1^5 - 1258750988*lu1^6)*g40[t])))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*f40[t]* (-((4302957 + 75887382*lu1 + 878393726*lu1^2 + 1126153488*lu1^3 - 1833323491*lu1^4 - 135330654*lu1^5 + 761967920*lu1^6)*f40[t]* (g22[t] + I*g22n[t])) + 2*(f22[t] + I*f22n[t])* (3*(1580156 - 3236667*lu1 + 135146987*lu1^2 + 603032281*lu1^3 - 10611027*lu1^4 + 938389166*lu1^5 + 967825568*lu1^6)*f40[t] + (189765 + 741792*lu1 - 43462382*lu1^2 + 53996964*lu1^3 + 857479837*lu1^4 + 516101076*lu1^5 - 1258750988*lu1^6)*g40[t])))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*f40[t]* (4*(-48039 - 317710*lu1 + 17053692*lu1^2 + 82897330*lu1^3 - 756865969*lu1^4 - 242566260*lu1^5 + 1889344300*lu1^6)*f40[t]* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(901224 + 28615345*lu1 - 269252127*lu1^2 + 900762995*lu1^3 - 9124295081*lu1^4 - 1811670000*lu1^5 + 50945170220*lu1^6)* f40[t] - 15*(-118919 - 1724348*lu1 - 7930132*lu1^2 + 85045122*lu1^3 + 17205379*lu1^4 - 173590630*lu1^5 + 758157752*lu1^6)*g40[t])))/(28028*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*f40[t]* (4*(-48039 - 317710*lu1 + 17053692*lu1^2 + 82897330*lu1^3 - 756865969*lu1^4 - 242566260*lu1^5 + 1889344300*lu1^6)*f40[t]* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(901224 + 28615345*lu1 - 269252127*lu1^2 + 900762995*lu1^3 - 9124295081*lu1^4 - 1811670000*lu1^5 + 50945170220*lu1^6)* f40[t] - 15*(-118919 - 1724348*lu1 - 7930132*lu1^2 + 85045122*lu1^3 + 17205379*lu1^4 - 173590630*lu1^5 + 758157752*lu1^6)*g40[t])))/(28028*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (75*Sqrt[3]*lu1*mar*f40[t]* ((-3249213 - 81880174*lu1 - 129644622*lu1^2 - 560693696*lu1^3 - 1847948173*lu1^4 + 916725030*lu1^5 + 3364391200*lu1^6)*f40[t]* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((2075376 + 43898897*lu1 - 55970941*lu1^2 - 14408263*lu1^3 + 4514314601*lu1^4 + 8913424130*lu1^5 + 4933999448*lu1^6)* f40[t] - 3*(-183870 + 189243*lu1 + 25914111*lu1^2 - 98057807*lu1^3 - 305847641*lu1^4 + 645662192*lu1^5 + 1333450172*lu1^6)*g40[t])))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (75*Sqrt[3]*lu1*mar*f40[t]*((-3249213 - 81880174*lu1 - 129644622*lu1^2 - 560693696*lu1^3 - 1847948173*lu1^4 + 916725030*lu1^5 + 3364391200*lu1^6)*f40[t]*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((2075376 + 43898897*lu1 - 55970941*lu1^2 - 14408263*lu1^3 + 4514314601*lu1^4 + 8913424130*lu1^5 + 4933999448*lu1^6)*f40[t] - 3*(-183870 + 189243*lu1 + 25914111*lu1^2 - 98057807*lu1^3 - 305847641*lu1^4 + 645662192*lu1^5 + 1333450172*lu1^6)*g40[t])))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*f40[t]*(-2310*(-1 + 7*lu1 + 170*lu1^2)^2* (-123 - 791*lu1 + 50730*lu1^2 + 51800*lu1^3)*f40[t]* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(16384653 + 915459185*lu1 + 17207303103*lu1^2 - 255932615861*lu1^3 + 1956806984600*lu1^4 - 11599658366016*lu1^ 5 + 12192517316560*lu1^6 + 5416442850000*lu1^7)*f40[t] + (36158769 + 1293996530*lu1 + 9790577938*lu1^2 + 169585827280*lu1^ 3 + 320955237769*lu1^4 + 3496044988030*lu1^5 - 1301342956340*lu1^6 - 440668240600*lu1^7)*g40[t])))/ (154154*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*f40[t]* (-2310*(-1 + 7*lu1 + 170*lu1^2)^2*(-123 - 791*lu1 + 50730*lu1^2 + 51800*lu1^3)*f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(16384653 + 915459185*lu1 + 17207303103*lu1^2 - 255932615861*lu1^3 + 1956806984600*lu1^4 - 11599658366016*lu1^ 5 + 12192517316560*lu1^6 + 5416442850000*lu1^7)*f40[t] + (36158769 + 1293996530*lu1 + 9790577938*lu1^2 + 169585827280*lu1^ 3 + 320955237769*lu1^4 + 3496044988030*lu1^5 - 1301342956340*lu1^6 - 440668240600*lu1^7)*g40[t])))/ (154154*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (75*Sqrt[3]*lu1*mar*f40[t]* (154*(-1 + 7*lu1 + 170*lu1^2)^2*(1929 + 65926*lu1 + 533931*lu1^2 + 1070790*lu1^3)*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(-49706433 - 577907045*lu1 - 2780755355*lu1^2 + 34179470057*lu1^3 - 1038277878552*lu1^4 + 7239978182032*lu1^5 + 5365044530480*lu1^6 + 6255682622000*lu1^7)*f40[t] + (-29231139 - 1587460872*lu1 - 15453562292*lu1^2 - 37430369442*lu1^3 + 25541968547*lu1^4 - 4688829195230*lu1^5 - 5422002855420*lu1^6 + 824692950200*lu1^7)*g40[t])))/ (154154*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (75*Sqrt[3]*lu1*mar*f40[t]* (154*(-1 + 7*lu1 + 170*lu1^2)^2*(1929 + 65926*lu1 + 533931*lu1^2 + 1070790*lu1^3)*f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(-49706433 - 577907045*lu1 - 2780755355*lu1^2 + 34179470057*lu1^3 - 1038277878552*lu1^4 + 7239978182032*lu1^5 + 5365044530480*lu1^6 + 6255682622000*lu1^7)*f40[t] + (-29231139 - 1587460872*lu1 - 15453562292*lu1^2 - 37430369442*lu1^3 + 25541968547*lu1^4 - 4688829195230*lu1^5 - 5422002855420*lu1^6 + 824692950200*lu1^7)*g40[t])))/ (154154*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (Sqrt[15]*mar*((217 + 3329*lu1 + 11590*lu1^2)* f20[t]*f40[t]*(g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* (30*(-1 - 9*lu1 + 10*lu1^2)*f40[t]*g20[t] + f20[t]*((-1007 + 6741*lu1 + 6830*lu1^2)*f40[t] + (43 - 1869*lu1 - 2830*lu1^2)*g40[t]))))/(98*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) + (Sqrt[5/3]*mar*(120*(-1 - 9*lu1 + 10*lu1^2)*f20[t]* f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((217 + 3329*lu1 + 11590*lu1^2)*f40[t]*g20[t] + 4*f20[t]*((-1007 + 6741*lu1 + 6830*lu1^2)*f40[t] + (43 - 1869*lu1 - 2830*lu1^2)*g40[t]))))/ (196*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) + (Sqrt[5/3]*mar*((217 + 3329*lu1 + 11590*lu1^2)*(f22[t] + I*f22n[t])* f40[t]*g20[t] + 4*f20[t]*(30*(-1 - 9*lu1 + 10*lu1^2)*f40[t]* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-1007 + 6741*lu1 + 6830*lu1^2)*f40[t] + (43 - 1869*lu1 - 2830*lu1^2)*g40[t]))))/(196*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) + (Sqrt[15]*mar*(120*(-1 - 9*lu1 + 10*lu1^2)* (f22[t] + I*f22n[t])*f40[t]*g20[t] + f20[t]*((217 + 3329*lu1 + 11590*lu1^2)*f40[t]*(g22[t] + I*g22n[t]) + 4*(f22[t] + I*f22n[t])*((-1007 + 6741*lu1 + 6830*lu1^2)*f40[t] + (43 - 1869*lu1 - 2830*lu1^2)*g40[t]))))/ (98*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) - (15*Sqrt[15]*mar*(-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*f20[t]*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*f40[t]*g20[t] + f20[t]*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*f40[t] - (59 + 3533*lu1)* (-3 + 13*lu1 + 38*lu1^2)^2*g40[t]))))/ (1078*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) - (15*Sqrt[15]*mar*(30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*f20[t]*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*f40[t]*g20[t] + f20[t]*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*f40[t] - (59 + 3533*lu1)* (-3 + 13*lu1 + 38*lu1^2)^2*g40[t]))))/ (1078*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) - (15*Sqrt[15]*mar*(-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f22[t] + I*f22n[t])*f40[t]*g20[t] + f20[t]*(30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*f40[t] - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*g40[t]))))/ (1078*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) - (15*Sqrt[15]*mar*(30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f22[t] + I*f22n[t])*f40[t]*g20[t] + f20[t]*(-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*f40[t] - (59 + 3533*lu1)* (-3 + 13*lu1 + 38*lu1^2)^2*g40[t]))))/ (1078*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) - (5*Sqrt[15]*(-1 + 5*lu1)*mar*(3*(-1076373 + 6488550*lu1 + 222788944*lu1^2 + 360208402*lu1^3 - 178632199*lu1^4 - 887815528*lu1^5 + 236763324*lu1^6)*f20[t]*f40[t]* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (2*(-62757 + 242016*lu1 + 10809902*lu1^2 - 31005324*lu1^3 - 221388157*lu1^4 + 56662500*lu1^5 + 589637564*lu1^6)*f40[t]* g20[t] + f20[t]*(3*(-91953 + 4323816*lu1 - 90507878*lu1^2 - 448103904*lu1^3 - 707074277*lu1^4 + 4432905888*lu1^5 + 4588750804*lu1^6)*f40[t] - 7*(-3 + 13*lu1 + 38*lu1^2)^2*( 7991 + 127411*lu1 + 200582*lu1^2)*g40[t]))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[15]*(-1 + 5*lu1)*mar*(4*(-62757 + 242016*lu1 + 10809902*lu1^2 - 31005324*lu1^3 - 221388157*lu1^4 + 56662500*lu1^5 + 589637564*lu1^6)*f20[t]*f40[t]* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (3*(-1076373 + 6488550*lu1 + 222788944*lu1^2 + 360208402*lu1^3 - 178632199*lu1^4 - 887815528*lu1^5 + 236763324*lu1^6)*f40[t]* g20[t] + 2*f20[t]*(3*(-91953 + 4323816*lu1 - 90507878*lu1^2 - 448103904*lu1^3 - 707074277*lu1^4 + 4432905888*lu1^5 + 4588750804*lu1^6)*f40[t] - 7*(-3 + 13*lu1 + 38*lu1^2)^2*( 7991 + 127411*lu1 + 200582*lu1^2)*g40[t]))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[15]*(-1 + 5*lu1)*mar*(3*(-1076373 + 6488550*lu1 + 222788944*lu1^2 + 360208402*lu1^3 - 178632199*lu1^4 - 887815528*lu1^5 + 236763324*lu1^6)*(f22[t] + I*f22n[t])*f40[t]* g20[t] + 2*f20[t]*(2*(-62757 + 242016*lu1 + 10809902*lu1^2 - 31005324*lu1^3 - 221388157*lu1^4 + 56662500*lu1^5 + 589637564*lu1^6)*f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(3*(-91953 + 4323816*lu1 - 90507878*lu1^2 - 448103904*lu1^3 - 707074277*lu1^4 + 4432905888*lu1^5 + 4588750804*lu1^6)*f40[t] - 7*(-3 + 13*lu1 + 38*lu1^2)^2*( 7991 + 127411*lu1 + 200582*lu1^2)*g40[t]))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[15]*(-1 + 5*lu1)*mar*(4*(-62757 + 242016*lu1 + 10809902*lu1^2 - 31005324*lu1^3 - 221388157*lu1^4 + 56662500*lu1^5 + 589637564*lu1^6)*(f22[t] + I*f22n[t])*f40[t]* g20[t] + f20[t]*(3*(-1076373 + 6488550*lu1 + 222788944*lu1^2 + 360208402*lu1^3 - 178632199*lu1^4 - 887815528*lu1^5 + 236763324*lu1^6)*f40[t]*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*(3*(-91953 + 4323816*lu1 - 90507878* lu1^2 - 448103904*lu1^3 - 707074277*lu1^4 + 4432905888* lu1^5 + 4588750804*lu1^6)*f40[t] - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(7991 + 127411*lu1 + 200582*lu1^2)*g40[t]))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (15*Sqrt[15]*lu1*mar*(-15*(479445 - 3076088*lu1 - 97969514*lu1^2 - 322610752*lu1^3 + 18098609*lu1^4 + 383488992*lu1^5 + 70790460*lu1^6)*f20[t]*f40[t]*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(6*(-94302 + 874353*lu1 + 9181069*lu1^2 - 56846613*lu1^3 - 128229239*lu1^4 + 245307384*lu1^5 + 435876340*lu1^6)*f40[t]*g20[t] + f20[t]* (5*(262944 - 7466823*lu1 + 21875101*lu1^2 - 1339819617*lu1^3 - 1216449701*lu1^4 + 7168011420*lu1^5 + 12545796340*lu1^6)*f40[ t] - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(16579 + 213077*lu1 + 1351720*lu1^2)*g40[t]))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (15*Sqrt[15]*lu1*mar*(12*(-94302 + 874353*lu1 + 9181069*lu1^2 - 56846613*lu1^3 - 128229239*lu1^4 + 245307384*lu1^5 + 435876340*lu1^6)*f20[t]*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(-15*(479445 - 3076088*lu1 - 97969514*lu1^2 - 322610752*lu1^3 + 18098609*lu1^4 + 383488992*lu1^5 + 70790460*lu1^6)*f40[t]*g20[t] + 2*f20[t]* (5*(262944 - 7466823*lu1 + 21875101*lu1^2 - 1339819617*lu1^3 - 1216449701*lu1^4 + 7168011420*lu1^5 + 12545796340*lu1^6)*f40[ t] - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(16579 + 213077*lu1 + 1351720*lu1^2)*g40[t]))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (15*Sqrt[15]*lu1*mar*(-15*(479445 - 3076088*lu1 - 97969514*lu1^2 - 322610752*lu1^3 + 18098609*lu1^4 + 383488992*lu1^5 + 70790460*lu1^6)*(f22[t] + I*f22n[t])*f40[t]*g20[t] + 2*f20[t]*(6*(-94302 + 874353*lu1 + 9181069*lu1^2 - 56846613*lu1^3 - 128229239*lu1^4 + 245307384*lu1^5 + 435876340*lu1^6)*f40[t]* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (5*(262944 - 7466823*lu1 + 21875101*lu1^2 - 1339819617*lu1^3 - 1216449701*lu1^4 + 7168011420*lu1^5 + 12545796340*lu1^6)*f40[ t] - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(16579 + 213077*lu1 + 1351720*lu1^2)*g40[t]))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (15*Sqrt[15]*lu1*mar*(12*(-94302 + 874353*lu1 + 9181069*lu1^2 - 56846613*lu1^3 - 128229239*lu1^4 + 245307384*lu1^5 + 435876340*lu1^6)*(f22[t] + I*f22n[t])*f40[t]*g20[t] + f20[t]*(-15*(479445 - 3076088*lu1 - 97969514*lu1^2 - 322610752*lu1^3 + 18098609*lu1^4 + 383488992*lu1^5 + 70790460*lu1^6)*f40[t]*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*(5*(262944 - 7466823*lu1 + 21875101* lu1^2 - 1339819617*lu1^3 - 1216449701*lu1^4 + 7168011420* lu1^5 + 12545796340*lu1^6)*f40[t] - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(16579 + 213077*lu1 + 1351720*lu1^2)*g40[t]))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (45*Sqrt[15]*mar*(2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*f20[t]* f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*f40[t]*g20[t] + f20[t]*(2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*f40[t] + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*g40[t]))))/ (2548*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (45*Sqrt[15]*mar*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*f20[t]*f40[t]* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*f40[t]*g20[t] + f20[t]*(2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*f40[t] + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*g40[t]))))/ (2548*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (45*Sqrt[15]*mar*(2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)* (f22[t] + I*f22n[t])*f40[t]*g20[t] + f20[t]*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*f40[t]* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*f40[t] + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*g40[t]))))/ (2548*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (45*Sqrt[15]*mar*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)* (f22[t] + I*f22n[t])*f40[t]*g20[t] + f20[t]*(2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*f40[t]* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*f40[t] + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*g40[t]))))/ (2548*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (Sqrt[15]*mar*((-231 + 464*lu1 + 5253*lu1^2 + 6802*lu1^3)*f20[t]* f40[t]*(g22[t] - I*g22n[t]) - 4*(f22[t] - I*f22n[t])* ((3133 + 16918*lu1 + 13701*lu1^2 - 26456*lu1^3)*f40[t]*g20[t] + 5*f20[t]*((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*f40[t] + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*g40[t]))))/ (98*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) - (Sqrt[5/3]*mar*(4*(3133 + 16918*lu1 + 13701*lu1^2 - 26456*lu1^3)* f20[t]*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-((-231 + 464*lu1 + 5253*lu1^2 + 6802*lu1^3)*f40[t]*g20[t]) + 20*f20[t]*((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*f40[t] + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*g40[t]))))/ (196*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (Sqrt[5/3]*mar*((-231 + 464*lu1 + 5253*lu1^2 + 6802*lu1^3)* (f22[t] + I*f22n[t])*f40[t]*g20[t] - 4*f20[t]* ((3133 + 16918*lu1 + 13701*lu1^2 - 26456*lu1^3)*f40[t]* (g22[t] + I*g22n[t]) + 5*(f22[t] + I*f22n[t])* ((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*f40[t] + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*g40[t]))))/ (196*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) - (Sqrt[15]*mar*(4*(3133 + 16918*lu1 + 13701*lu1^2 - 26456*lu1^3)* (f22[t] + I*f22n[t])*f40[t]*g20[t] + f20[t]*(-((-231 + 464*lu1 + 5253*lu1^2 + 6802*lu1^3)*f40[t]* (g22[t] + I*g22n[t])) + 20*(f22[t] + I*f22n[t])* ((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*f40[t] + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*g40[t]))))/ (98*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (25*Sqrt[15]*mar*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)* f20[t]*f40[t]*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-14*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)*f40[t]*g20[t] + f20[t]*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*f40[ t] - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*g40[t]))))/ (6292*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (35*Sqrt[5/3]*mar*(-28*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)* f20[t]*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)*f40[t]*g20[t] + 2*f20[t]*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*f40[ t] - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*g40[t]))))/ (1573*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (35*Sqrt[5/3]*mar*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)* (f22[t] + I*f22n[t])*f40[t]*g20[t] + 2*f20[t]* (-14*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)*f40[t]* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*f40[t] - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*g40[t]))))/ (1573*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (25*Sqrt[15]*mar*(-28*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)* (f22[t] + I*f22n[t])*f40[t]*g20[t] + f20[t]*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)*f40[t]* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*f40[t] - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*g40[t]))))/ (6292*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (Sqrt[15]*mar*(2*(41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)* f20[t]*f40[t]*(g22[t] - I*g22n[t]) + 3*(f22[t] - I*f22n[t])* (-15*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)*f40[t]*g20[t] + 4*f20[t]*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*f40[ t] - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*g40[t]))))/ (5929*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*Sqrt[15]*mar*(-45*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)*f20[t]* f40[t]*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)*f40[t]* g20[t] + 6*f20[t]*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*f40[t] - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*g40[t]))))/(11858*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*Sqrt[15]*mar*(2*(41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)* (f22[t] + I*f22n[t])*f40[t]*g20[t] + 3*f20[t]* (-15*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)*f40[t]* (g22[t] + I*g22n[t]) + 4*(f22[t] + I*f22n[t])* ((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*f40[t] - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*g40[t]))))/ (11858*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (Sqrt[15]*mar*(-45*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)* (f22[t] + I*f22n[t])*f40[t]*g20[t] + 2*f20[t]* ((41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)*f40[t]* (g22[t] + I*g22n[t]) + 6*(f22[t] + I*f22n[t])* ((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*f40[t] - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*g40[t]))))/ (5929*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (Sqrt[15]*mar*(-220*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*f20[t]*f40[t]*(g22[t] - I*g22n[t]) + 3*(f22[t] - I*f22n[t])*(75*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* f40[t]*g20[t] + 2*f20[t]*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*f40[t] + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*g40[t]))))/ (5929*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[15]*mar*(225*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f20[t]* f40[t]*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-110*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*f40[t]*g20[t] + 3*f20[t]*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*f40[t] + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*g40[t]))))/ (11858*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[15]*mar*(-220*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f22[t] + I*f22n[t])*f40[t]*g20[t] + 3*f20[t]*(75*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*f40[t] + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*g40[t]))))/ (11858*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (Sqrt[15]*mar*(225*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f22[t] + I*f22n[t])*f40[t]*g20[t] + 2*f20[t]* (-110*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*f40[t]*(g22[t] + I*g22n[t]) + 3*(f22[t] + I*f22n[t])*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*f40[t] + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*g40[t]))))/ (5929*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (25*Sqrt[15]*mar*(-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*f20[t]*f40[t]* (g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])* (-924*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*f40[t]*g20[t] + f20[t]*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*f40[t] - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*g40[t]))))/ (6292*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (35*Sqrt[5/3]*mar*(-1848*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*f20[t]*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(-((69 + 413*lu1 - 86241*lu1^2 - 878157* lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*f40[t]*g20[t]) + 2*f20[t]*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*f40[t] - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*g40[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (35*Sqrt[5/3]*mar*(-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f22[t] + I*f22n[t])*f40[t]* g20[t]) + 2*f20[t]*(-924*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*f40[t] - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*g40[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (25*Sqrt[15]*mar*(-1848*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f22[t] + I*f22n[t])*f40[t]*g20[t] + f20[t]*(-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200* lu1^4 + 204596700*lu1^5)*f40[t]*(g22[t] + I*g22n[t])) + 2*(f22[t] + I*f22n[t])*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*f40[t] - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*g40[t]))))/ (6292*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (5*Sqrt[15]*(-1 + 5*lu1)*mar*(231*(-24651 - 252846*lu1 + 10800642*lu1^2 + 49500776*lu1^3 - 649674267*lu1^4 - 348812698*lu1^5 + 2395631100*lu1^6 + 555753800*lu1^7)*f20[t]* f40[t]*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (2*(10965543 + 258663521*lu1 + 878337068*lu1^2 + 62623990364*lu1^ 3 + 142300216437*lu1^4 + 1019369033007*lu1^5 + 1932315753760*lu1^6 - 1784962028500*lu1^7)*f40[t]*g20[t] + f20[t]*((-23671731 - 797938120*lu1 + 5880837080*lu1^2 - 158989500310*lu1^3 - 50078882665*lu1^4 - 2006123611882* lu1^5 - 14108383855420*lu1^6 + 2845046925000*lu1^7)*f40[t] + 24*(-12339 + 1688871*lu1 - 13274497*lu1^2 - 127256731*lu1^3 + 3884225132*lu1^4 - 13971366772*lu1^5 - 33447833200*lu1^6 + 21565258400*lu1^7)*g40[t]))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[15]*(-1 + 5*lu1)*mar*(4*(10965543 + 258663521*lu1 + 878337068*lu1^2 + 62623990364*lu1^3 + 142300216437*lu1^4 + 1019369033007*lu1^5 + 1932315753760*lu1^6 - 1784962028500*lu1^7)* (f22[t] + I*f22n[t])*f40[t]*g20[t] + f20[t]*(231*(-24651 - 252846*lu1 + 10800642*lu1^2 + 49500776*lu1^3 - 649674267*lu1^4 - 348812698*lu1^5 + 2395631100*lu1^6 + 555753800*lu1^7)*f40[t]* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((-23671731 - 797938120*lu1 + 5880837080*lu1^2 - 158989500310* lu1^3 - 50078882665*lu1^4 - 2006123611882*lu1^5 - 14108383855420*lu1^6 + 2845046925000*lu1^7)*f40[t] + 24*(-12339 + 1688871*lu1 - 13274497*lu1^2 - 127256731*lu1^3 + 3884225132*lu1^4 - 13971366772*lu1^5 - 33447833200*lu1^6 + 21565258400*lu1^7)*g40[t]))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (15*Sqrt[15]*lu1*mar*(-77*(-945459 - 12358674*lu1 + 386210838*lu1^2 + 3054398084*lu1^3 - 19279819143*lu1^4 - 80993733922*lu1^5 + 41644185900*lu1^6 + 217183068200*lu1^7)*f20[t]*f40[t]* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (10*(10241310 + 354158719*lu1 + 1693879588*lu1^2 + 22258731862*lu1^3 + 186101021170*lu1^4 + 1029399612727*lu1^5 + 1172607108580*lu1^6 - 1410229457700*lu1^7)*f40[t]*g20[t] + f20[t]*((-37169571 - 5466582856*lu1 - 15063389808*lu1^2 + 23727200866*lu1^3 - 246806383377*lu1^4 - 20773477863458* lu1^5 - 59584089421500*lu1^6 + 9636475053800*lu1^7)*f40[t] + 120*(-60246 + 1225839*lu1 + 12451617*lu1^2 - 33464309*lu1^3 + 625503973*lu1^4 - 7108305358*lu1^5 - 4270465060*lu1^6 + 25744038600*lu1^7)*g40[t]))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (15*Sqrt[15]*lu1*mar*(20*(10241310 + 354158719*lu1 + 1693879588*lu1^2 + 22258731862*lu1^3 + 186101021170*lu1^4 + 1029399612727*lu1^5 + 1172607108580*lu1^6 - 1410229457700*lu1^7)* (f22[t] + I*f22n[t])*f40[t]*g20[t] + f20[t]*(-77*(-945459 - 12358674*lu1 + 386210838*lu1^2 + 3054398084*lu1^3 - 19279819143*lu1^4 - 80993733922*lu1^5 + 41644185900*lu1^6 + 217183068200*lu1^7)*f40[t]* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((-37169571 - 5466582856*lu1 - 15063389808*lu1^2 + 23727200866* lu1^3 - 246806383377*lu1^4 - 20773477863458*lu1^5 - 59584089421500*lu1^6 + 9636475053800*lu1^7)*f40[t] + 120*(-60246 + 1225839*lu1 + 12451617*lu1^2 - 33464309*lu1^3 + 625503973*lu1^4 - 7108305358*lu1^5 - 4270465060*lu1^6 + 25744038600*lu1^7)*g40[t]))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*Sqrt[15]*lu1*mar*(8*(15893268 + 1711004807*lu1 + 6344985541*lu1^2 - 31883409997*lu1^3 + 35290816599*lu1^4 + 1061409341218*lu1^5 + 4910615676380*lu1^6 + 5459421448600*lu1^7)*f20[t]*f40[t]* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-77*(-3388617 - 41646042*lu1 + 1414592374*lu1^2 + 9826459192*lu1^3 - 75742127929*lu1^4 - 229734715006*lu1^5 + 252176999700*lu1^6 + 707631048600*lu1^7)*f40[t]*g20[t] + 4*f20[t]*((90615354 - 9150313228*lu1 + 31958091316*lu1^2 + 677057534128*lu1^3 - 4390882483766*lu1^4 - 5871178254980* lu1^5 + 7382907853720*lu1^6 + 5960864445200*lu1^7)*f40[t] - 15*(946422 - 27899205*lu1 + 16822737*lu1^2 + 2951054891*lu1^3 - 17202042647*lu1^4 - 12142898922*lu1^5 + 178213329212*lu1^6 + 222610053400*lu1^7)*g40[t]))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*Sqrt[15]*lu1*mar*(-77*(-3388617 - 41646042*lu1 + 1414592374*lu1^2 + 9826459192*lu1^3 - 75742127929*lu1^4 - 229734715006*lu1^5 + 252176999700*lu1^6 + 707631048600*lu1^7)*(f22[t] + I*f22n[t])* f40[t]*g20[t] + 4*f20[t]*(2*(15893268 + 1711004807*lu1 + 6344985541*lu1^2 - 31883409997*lu1^3 + 35290816599*lu1^4 + 1061409341218*lu1^5 + 4910615676380*lu1^6 + 5459421448600*lu1^ 7)*f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((90615354 - 9150313228*lu1 + 31958091316*lu1^2 + 677057534128* lu1^3 - 4390882483766*lu1^4 - 5871178254980*lu1^5 + 7382907853720*lu1^6 + 5960864445200*lu1^7)*f40[t] - 15*(946422 - 27899205*lu1 + 16822737*lu1^2 + 2951054891*lu1^3 - 17202042647*lu1^4 - 12142898922*lu1^5 + 178213329212*lu1^6 + 222610053400*lu1^7)*g40[t]))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (Sqrt[5/3]*(-1 + 5*lu1)*mar*(4*(115775421 + 3899827319*lu1 - 23866840963*lu1^2 - 70213853099*lu1^3 + 1157596651098*lu1^4 + 5918399715176*lu1^5 + 10826652912040*lu1^6 + 3061665216400*lu1^7)* f20[t]*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-77*(-2784231 - 35262576*lu1 + 1139734652*lu1^2 + 8388874806*lu1^3 - 55205993977*lu1^4 - 183773329038*lu1^5 - 59840845900*lu1^6 + 77913607800*lu1^7)*f40[t]*g20[t] + 4*f20[t]*(2*(-59438388 - 4994975839*lu1 + 64169474623*lu1^2 + 269255683929*lu1^3 - 4283407653203*lu1^4 - 1222239183750* lu1^5 + 17062200766060*lu1^6 + 15714683626600*lu1^7)*f40[ t] - 15*(467127 - 32694036*lu1 + 255066836*lu1^2 + 3976379078*lu1^3 - 41746027471*lu1^4 + 1429099166*lu1^5 + 463563382124*lu1^6 + 534134431880*lu1^7)*g40[t]))))/ (308308*(3 + 70*lu1)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (Sqrt[5/3]*(-1 + 5*lu1)*mar* (-77*(-2784231 - 35262576*lu1 + 1139734652*lu1^2 + 8388874806*lu1^3 - 55205993977*lu1^4 - 183773329038*lu1^5 - 59840845900*lu1^6 + 77913607800*lu1^7)*(f22[t] + I*f22n[t])* f40[t]*g20[t] + 4*f20[t]*((115775421 + 3899827319*lu1 - 23866840963*lu1^2 - 70213853099*lu1^3 + 1157596651098*lu1^4 + 5918399715176*lu1^5 + 10826652912040*lu1^6 + 3061665216400*lu1^ 7)*f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(-59438388 - 4994975839*lu1 + 64169474623*lu1^2 + 269255683929*lu1^3 - 4283407653203*lu1^4 - 1222239183750* lu1^5 + 17062200766060*lu1^6 + 15714683626600*lu1^7)*f40[ t] - 15*(467127 - 32694036*lu1 + 255066836*lu1^2 + 3976379078*lu1^3 - 41746027471*lu1^4 + 1429099166*lu1^5 + 463563382124*lu1^6 + 534134431880*lu1^7)*g40[t]))))/ (308308*(3 + 70*lu1)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*Sqrt[15]*(-1 + 5*lu1)*mar* (231*(-1 + 7*lu1 + 170*lu1^2)^2*(-14967 - 279048*lu1 + 1715037*lu1^2 + 1807330*lu1^3)*f20[t]*f40[t]* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (88*(8676 - 27795*lu1 + 3322127*lu1^2 - 60427755*lu1^3 - 707543699*lu1^4 + 3094988090*lu1^5 - 423905700*lu1^6 + 29763685000*lu1^7)*f40[t]*g20[t] + f20[t]* ((-356805 - 436370380*lu1 - 8168788696*lu1^2 + 196330689454* lu1^3 - 1145707903407*lu1^4 + 3379072690742*lu1^5 + 1689992158540*lu1^6 + 7746086727400*lu1^7)*f40[t] - (7853607 + 244669130*lu1 + 1407136948*lu1^2 + 9747925822* lu1^3 - 362906592143*lu1^4 + 683618109544*lu1^5 + 8049139122580*lu1^6 + 4054961178800*lu1^7)*g40[t]))))/ (308308*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[15]*(-1 + 5*lu1)*mar* (176*(8676 - 27795*lu1 + 3322127*lu1^2 - 60427755*lu1^3 - 707543699*lu1^4 + 3094988090*lu1^5 - 423905700*lu1^6 + 29763685000*lu1^7)*(f22[t] + I*f22n[t])*f40[t]*g20[t] + f20[t]*(231*(-1 + 7*lu1 + 170*lu1^2)^2*(-14967 - 279048*lu1 + 1715037*lu1^2 + 1807330*lu1^3)*f40[t]*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((-356805 - 436370380*lu1 - 8168788696* lu1^2 + 196330689454*lu1^3 - 1145707903407*lu1^4 + 3379072690742*lu1^5 + 1689992158540*lu1^6 + 7746086727400* lu1^7)*f40[t] - (7853607 + 244669130*lu1 + 1407136948* lu1^2 + 9747925822*lu1^3 - 362906592143*lu1^4 + 683618109544*lu1^5 + 8049139122580*lu1^6 + 4054961178800* lu1^7)*g40[t]))))/(308308*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (15*Sqrt[15]*lu1*mar*(5775*(-1 + 7*lu1 + 170*lu1^2)^2* (3069 + 82572*lu1 + 261717*lu1^2 + 138530*lu1^3)*f20[t]*f40[t]* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-352*(-27891 + 76995*lu1 + 6533188*lu1^2 + 28327710*lu1^3 - 391093021*lu1^4 - 1802381585*lu1^5 + 21599217600*lu1^6 + 19274013500*lu1^7)*f40[t]*g20[t] + f20[t]* ((-110478207 - 1294880190*lu1 + 10700812346*lu1^2 + 404051317080*lu1^3 - 4929500782127*lu1^4 - 7131002032090* lu1^5 + 76856514557100*lu1^6 + 141572036725000*lu1^7)*f40[ t] - 3*(12462767 + 512604670*lu1 + 2811261224*lu1^2 - 30788669910*lu1^3 - 418180037483*lu1^4 + 1522841878040* lu1^5 + 11281579036900*lu1^6 + 8793273510000*lu1^7)*g40[ t]))))/(308308*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (15*Sqrt[15]*lu1*mar*(704*(-27891 + 76995*lu1 + 6533188*lu1^2 + 28327710*lu1^3 - 391093021*lu1^4 - 1802381585*lu1^5 + 21599217600*lu1^6 + 19274013500*lu1^7)*(f22[t] + I*f22n[t])* f40[t]*g20[t] + f20[t]*(-5775*(-1 + 7*lu1 + 170*lu1^2)^2* (3069 + 82572*lu1 + 261717*lu1^2 + 138530*lu1^3)*f40[t]* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((110478207 + 1294880190*lu1 - 10700812346*lu1^2 - 404051317080* lu1^3 + 4929500782127*lu1^4 + 7131002032090*lu1^5 - 76856514557100*lu1^6 - 141572036725000*lu1^7)*f40[t] + 3*(12462767 + 512604670*lu1 + 2811261224*lu1^2 - 30788669910* lu1^3 - 418180037483*lu1^4 + 1522841878040*lu1^5 + 11281579036900*lu1^6 + 8793273510000*lu1^7)*g40[t]))))/ (308308*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (Sqrt[5/3]*(-1 + 5*lu1)*mar* (1320*(25425 - 997882*lu1 + 10121754*lu1^2 + 172631164*lu1^3 - 2662120471*lu1^4 - 13792645674*lu1^5 + 99027658060*lu1^6 + 245416437000*lu1^7)*f20[t]*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(77*(-1 + 7*lu1 + 170*lu1^2)^2* (-1341273 - 30411802*lu1 + 22600273*lu1^2 + 45741570*lu1^3)* f40[t]*g20[t] + 4*f20[t]*(2*(-104250858 - 93552435*lu1 + 11258945365*lu1^2 + 325669105341*lu1^3 - 3079394715151* lu1^4 - 293812919162*lu1^5 + 63594406538460*lu1^6 + 238945137884600*lu1^7)*f40[t] - (68828274 + 2584946095*lu1 - 7986738725*lu1^2 - 491460303739*lu1^3 - 2771578410501*lu1^4 + 17588545814872*lu1^5 + 98131218120140*lu1^6 + 103336788514400* lu1^7)*g40[t]))))/(308308*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (Sqrt[5/3]*(-1 + 5*lu1)*mar*(77*(-1 + 7*lu1 + 170*lu1^2)^2* (-1341273 - 30411802*lu1 + 22600273*lu1^2 + 45741570*lu1^3)* (f22[t] + I*f22n[t])*f40[t]*g20[t] + 4*f20[t]* (330*(25425 - 997882*lu1 + 10121754*lu1^2 + 172631164*lu1^3 - 2662120471*lu1^4 - 13792645674*lu1^5 + 99027658060*lu1^6 + 245416437000*lu1^7)*f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(-104250858 - 93552435*lu1 + 11258945365*lu1^2 + 325669105341*lu1^3 - 3079394715151* lu1^4 - 293812919162*lu1^5 + 63594406538460*lu1^6 + 238945137884600*lu1^7)*f40[t] - (68828274 + 2584946095*lu1 - 7986738725*lu1^2 - 491460303739*lu1^3 - 2771578410501*lu1^4 + 17588545814872*lu1^5 + 98131218120140*lu1^6 + 103336788514400* lu1^7)*g40[t]))))/(308308*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[15]*lu1*mar*(264*(278898 - 4658505*lu1 - 48909619*lu1^2 + 847301495*lu1^3 + 1637652033*lu1^4 - 42198196450*lu1^5 + 32891181500*lu1^6 + 269891643000*lu1^7)*f20[t]*f40[t]* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (385*(-1 + 7*lu1 + 170*lu1^2)^2*(-235047 - 5771296*lu1 - 6076779*lu1^2 + 14391090*lu1^3)*f40[t]*g20[t] + 4*f20[t]*(2*(-38430567 + 539033822*lu1 - 22562863610*lu1^2 + 230955054076*lu1^3 + 709426952173*lu1^4 - 20293017422474* lu1^5 + 110366808211420*lu1^6 + 264142768656200*lu1^7)*f40[ t] - (15516933 + 1190845449*lu1 + 3843927337*lu1^2 - 26902026363*lu1^3 - 1251145139218*lu1^4 - 6603818700626* lu1^5 + 63564723115680*lu1^6 + 140351436801800*lu1^7)*g40[ t]))))/(308308*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[15]*lu1*mar*(385*(-1 + 7*lu1 + 170*lu1^2)^2* (-235047 - 5771296*lu1 - 6076779*lu1^2 + 14391090*lu1^3)* (f22[t] + I*f22n[t])*f40[t]*g20[t] + 4*f20[t]* (66*(278898 - 4658505*lu1 - 48909619*lu1^2 + 847301495*lu1^3 + 1637652033*lu1^4 - 42198196450*lu1^5 + 32891181500*lu1^6 + 269891643000*lu1^7)*f40[t]*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(-38430567 + 539033822*lu1 - 22562863610*lu1^2 + 230955054076*lu1^3 + 709426952173*lu1^4 - 20293017422474*lu1^5 + 110366808211420*lu1^6 + 264142768656200*lu1^7)*f40[t] - (15516933 + 1190845449*lu1 + 3843927337*lu1^2 - 26902026363*lu1^3 - 1251145139218*lu1^4 - 6603818700626*lu1^5 + 63564723115680*lu1^6 + 140351436801800* lu1^7)*g40[t]))))/(308308*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*mar*((217 + 3329*lu1 + 11590*lu1^2)*(f22[t] + I*f22n[t])* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* (30*(-1 - 9*lu1 + 10*lu1^2)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-1007 + 6741*lu1 + 6830*lu1^2)*(f42[t] - I*f42n[t]) + (43 - 1869*lu1 - 2830*lu1^2)*(g42[t] - I*g42n[t])))))/ (196*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) + (10*mar*(-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f42[t] - I*f42n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g42[t] - I*g42n[t])))))/(539*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (10*mar*(30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f42[t] - I*f42n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g42[t] - I*g42n[t])))))/(539*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (75*lu1*mar*((3125679 - 10946072*lu1 - 583568786*lu1^2 - 914601388*lu1^3 + 3355783391*lu1^4 + 1118153196*lu1^5 - 7642055460*lu1^6)*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (4*(-45162 + 655617*lu1 + 3577261*lu1^2 - 67923357*lu1^3 + 9232309*lu1^4 + 957231408*lu1^5 + 1300780660*lu1^6)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-4941255 - 34309457*lu1 + 1700286745*lu1^2 - 6280320455* lu1^3 - 16498594670*lu1^4 + 81849054220*lu1^5 + 145239273256*lu1^6)*(f42[t] - I*f42n[t]) - 21*(-3 + 13*lu1 + 38*lu1^2)^2*(12092 + 155347*lu1 + 1063793*lu1^2)*(g42[t] - I*g42n[t])))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (75*lu1*mar*(8*(-45162 + 655617*lu1 + 3577261*lu1^2 - 67923357*lu1^3 + 9232309*lu1^4 + 957231408*lu1^5 + 1300780660*lu1^6)* (f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((3125679 - 10946072*lu1 - 583568786*lu1^2 - 914601388*lu1^3 + 3355783391*lu1^4 + 1118153196*lu1^5 - 7642055460*lu1^6)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((-4941255 - 34309457*lu1 + 1700286745* lu1^2 - 6280320455*lu1^3 - 16498594670*lu1^4 + 81849054220* lu1^5 + 145239273256*lu1^6)*(f42[t] - I*f42n[t]) - 21*(-3 + 13*lu1 + 38*lu1^2)^2*(12092 + 155347*lu1 + 1063793*lu1^2)*(g42[t] - I*g42n[t])))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*(-1 + 5*lu1)*mar*((-5660307 + 27634494*lu1 + 960710800*lu1^2 + 1446313390*lu1^3 - 1805915785*lu1^4 - 3869074684*lu1^5 + 3748411548*lu1^6)*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) - 2*(f22[t] - I*f22n[t])* (4*(-666 - 79647*lu1 - 1007819*lu1^2 - 11892237*lu1^3 + 86779789*lu1^4 + 293389680*lu1^5 + 158141332*lu1^6)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(-12669858 + 170115645*lu1 + 296380621*lu1^2 - 6280115577* lu1^3 + 2291700229*lu1^4 + 71106386376*lu1^5 + 94543328836* lu1^6)*(f42[t] - I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*( 78581 + 1500718*lu1 + 2415197*lu1^2)*(g42[t] - I*g42n[t])))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*(-1 + 5*lu1)*mar*(8*(-666 - 79647*lu1 - 1007819*lu1^2 - 11892237*lu1^3 + 86779789*lu1^4 + 293389680*lu1^5 + 158141332*lu1^6)*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((5660307 - 27634494*lu1 - 960710800*lu1^2 - 1446313390*lu1^3 + 1805915785*lu1^4 + 3869074684*lu1^5 - 3748411548*lu1^6)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*(2*(-12669858 + 170115645*lu1 + 296380621*lu1^2 - 6280115577*lu1^3 + 2291700229*lu1^4 + 71106386376*lu1^5 + 94543328836*lu1^6)*(f42[t] - I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(78581 + 1500718*lu1 + 2415197*lu1^2)*(g42[t] - I*g42n[t])))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (45*mar*(2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)* (f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*(f42[t] - I*f42n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*( g42[t] - I*g42n[t])))))/(2548*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (45*mar*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*(f22[t] + I*f22n[t])* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*(f42[t] - I*f42n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*( g42[t] - I*g42n[t])))))/(2548*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*((-231 + 464*lu1 + 5253*lu1^2 + 6802*lu1^3)* (f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) - 4*(f22[t] - I*f22n[t])*((3133 + 16918*lu1 + 13701*lu1^2 - 26456*lu1^3)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 5*(f22[t] + I*f22n[t])*((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*(f42[t] - I*f42n[t]) + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*(g42[t] - I*g42n[t])))))/ (196*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (25*mar*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)* (f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(-14*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*(f42[t] - I*f42n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g42[t] - I*g42n[t])))))/ (6292*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (175*mar*(-28*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)* (f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*(f42[t] - I*f42n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g42[t] - I*g42n[t])))))/ (3146*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (mar*(2*(-41601 - 757679*lu1 - 641199*lu1^2 + 675935*lu1^3)* (f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 3*(f22[t] - I*f22n[t])*(15*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 4*(f22[t] + I*f22n[t])*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f42[t] - I*f42n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g42[t] - I*g42n[t])))))/ (1694*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (45*mar*(45*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)* (f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) - 2*(f22[t] - I*f22n[t])*((41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 6*(f22[t] + I*f22n[t])*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f42[t] - I*f42n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g42[t] - I*g42n[t])))))/ (23716*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (mar*(-220*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + 3*(f22[t] - I*f22n[t])* (75*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f42[t] - I*f42n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g42[t] - I*g42n[t])))))/ (1694*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*mar*(225*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(-110*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + 3*(f22[t] + I*f22n[t])* ((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f42[t] - I*f42n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g42[t] - I*g42n[t])))))/ (23716*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (25*mar*(-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f22[t] + I*f22n[t])* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])*(-924*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f42[t] - I*f42n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g42[t] - I*g42n[t])))))/ (6292*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (175*mar*(-1848*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])) + 2*(f22[t] + I*f22n[t])*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f42[t] - I*f42n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g42[t] - I*g42n[t])))))/(3146*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - ((-1 + 5*lu1)*mar*(3*(962229 - 326081225*lu1 + 7989005897*lu1^2 + 155261388261*lu1^3 + 101932621270*lu1^4 + 32814429200*lu1^5)* (f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(-11*(4195929 + 70814293*lu1 - 1365853181*lu1^2 - 17477009677*lu1^3 - 7559444800*lu1^4 + 17703308700*lu1^5)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((-9343491 + 2934704941*lu1 - 34593516759*lu1^2 - 607635493085*lu1^3 + 1558376145450* lu1^4 + 965491996000*lu1^5)*(f42[t] - I*f42n[t]) - 90*(-29751 + 1476833*lu1 - 11760173*lu1^2 - 193411425*lu1^3 + 962107112*lu1^4 + 2579197180*lu1^5)*(g42[t] - I*g42n[t])))))/ (66066*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*lu1*mar*((47911857 - 32120305*lu1 + 10466660021*lu1^2 + 203106894453*lu1^3 + 226873230470*lu1^4 + 730677626000*lu1^5)*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-55*(992127 + 15930043*lu1 - 340386763*lu1^2 - 3928657907*lu1^3 + 2819978400*lu1^4 + 20591081700*lu1^5)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((-61857357 + 2068302919*lu1 - 15101382985*lu1^2 - 381118737327* lu1^3 + 759822579550*lu1^4 + 237650487200*lu1^5)*(f42[t] - I*f42n[t]) - 30*(-186930 + 3391053*lu1 + 5694440*lu1^2 - 371613691*lu1^3 + 1012363252*lu1^4 + 3496498180*lu1^5)*( g42[t] - I*g42n[t])))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^2* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*lu1*mar*(660*(54198 - 1284369*lu1 - 10626371*lu1^2 + 289271583*lu1^3 + 747047261*lu1^4 - 14164537538*lu1^5 + 2907273900*lu1^6 + 63569823800*lu1^7)*(f22[t] + I*f22n[t])* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (55*(-1 + 7*lu1 + 170*lu1^2)^2*(-1279743 - 31523348*lu1 - 35304279*lu1^2 + 81469290*lu1^3)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(8634108 + 2810588113*lu1 - 74267654933*lu1^2 + 415188302189* lu1^3 + 6315592896993*lu1^4 - 76174428868346*lu1^5 + 311090084280380*lu1^6 + 830118692559800*lu1^7)*(f42[t] - I*f42n[t]) + (42059889 + 109548474*lu1 + 8125277564*lu1^2 - 146297948118*lu1^3 + 1286881530103*lu1^4 + 31647317917244* lu1^5 - 162516632405220*lu1^6 - 438728335623200*lu1^7)*( g42[t] - I*g42n[t])))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (75*lu1*mar*(770*(-1 + 7*lu1 + 170*lu1^2)^2*(-10509 - 212738*lu1 + 917925*lu1^2 + 3739050*lu1^3)*(f22[t] + I*f22n[t])* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-132*(-20406 + 1696845*lu1 + 23840263*lu1^2 - 593700355*lu1^3 - 5535542081*lu1^4 + 24979173850*lu1^5 + 175659716900*lu1^6 + 143262553000*lu1^7)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(77633388 + 1404911759*lu1 - 23449281611*lu1^2 + 141627939907*lu1^3 + 3325749085303* lu1^4 - 57272556786518*lu1^5 + 156008719779940*lu1^6 + 490539364939400*lu1^7)*(f42[t] - I*f42n[t]) + (72074451 + 2483358642*lu1 + 15282203840*lu1^2 - 204943458894* lu1^3 - 720552037127*lu1^4 + 19231862600972*lu1^5 - 83614306286460*lu1^6 - 231648729737600*lu1^7)*(g42[t] - I*g42n[t])))))/(308308*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*(-1 + 5*lu1)*mar*(154*(-1 + 7*lu1 + 170*lu1^2)^2* (-20247 - 77153*lu1 + 9865172*lu1^2 + 14980980*lu1^3)* (f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(660*(6939 - 463478*lu1 - 6052118*lu1^2 + 199558532*lu1^3 + 858506223*lu1^4 - 13534917710*lu1^5 - 6837504460*lu1^6 + 75693829400*lu1^7)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(-106767681 + 2318378760*lu1 + 64077838900*lu1^2 - 729327061278*lu1^3 + 2620985873153*lu1^4 - 35439151369874* lu1^5 + 114770063743020*lu1^6 + 429299107416200*lu1^7)*( f42[t] - I*f42n[t]) + (28685277 + 301038470*lu1 + 21471403520*lu1^2 + 643150288798*lu1^3 - 566812720713*lu1^4 - 14412494103604*lu1^5 - 100070907777380*lu1^6 - 125245255872800*lu1^7)*(g42[t] - I*g42n[t])))))/ (308308*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (75*lu1*mar*(-154*(-542691 - 5922396*lu1 + 237913832*lu1^2 + 1291050866*lu1^3 - 15168997337*lu1^4 - 27336882158*lu1^5 + 129276266100*lu1^6 + 233814079800*lu1^7)* (f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(-((201221133 + 7076626472*lu1 + 80298377986* lu1^2 + 118727080148*lu1^3 - 8227414865211*lu1^4 - 28604758074692*lu1^5 - 13749227775340*lu1^6 + 29377650450400* lu1^7)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])) + 2*(f22[t] + I*f22n[t])*((99543585 + 2283546118*lu1 + 41363691104*lu1^2 + 383594468102*lu1^3 - 4796715767869* lu1^4 - 18936751690492*lu1^5 - 21431606888020*lu1^6 + 13663664896000*lu1^7)*(f42[t] - I*f42n[t]) + 120*(-53748 - 890481*lu1 + 9057627*lu1^2 + 206480041*lu1^3 - 748116007* lu1^4 - 5877372732*lu1^5 + 7940479060*lu1^6 + 30441795440* lu1^7)*(g42[t] - I*g42n[t])))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*(-1 + 5*lu1)*mar*(154*(130401 + 1374471*lu1 - 55813367*lu1^2 - 266721351*lu1^3 + 2970166042*lu1^4 + 241469748*lu1^5 + 7971351400*lu1^6 + 41148391200*lu1^7)*(f22[t] + I*f22n[t])* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((324586623 + 7117668952*lu1 + 29345675926*lu1^2 + 445560632348*lu1^3 - 9179683433721*lu1^4 - 35078948720972*lu1^ 5 - 15606503846500*lu1^6 + 46276339508000*lu1^7)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 2*(f22[t] + I*f22n[t])*((205375659 + 2220479282*lu1 - 986596064*lu1^2 + 694384995378*lu1^3 - 6539577103871*lu1^4 - 16099400970900*lu1^5 - 20597635653020*lu1^6 + 11272898156800* lu1^7)*(f42[t] - I*f42n[t]) + 60*(-6480 - 1839507*lu1 - 31012819*lu1^2 + 687540413*lu1^3 + 551841119*lu1^4 - 22250810098*lu1^5 + 235502612*lu1^6 + 82012816760*lu1^7)*( g42[t] - I*g42n[t])))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + ((-1 + 5*lu1)*mar*(1980*(9501 - 485690*lu1 + 2276798*lu1^2 + 121434892*lu1^3 - 769061343*lu1^4 - 8841471298*lu1^5 + 39782365900*lu1^6 + 106940325800*lu1^7)*(f22[t] + I*f22n[t])* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (11*(-1 + 7*lu1 + 170*lu1^2)^2*(-5062641 - 115607384*lu1 + 67376891*lu1^2 + 199634190*lu1^3)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(-313051467 + 2229507740*lu1 + 84783271840*lu1^2 - 136554550646*lu1^3 - 2978819351369*lu1^4 - 28945395157598* lu1^5 + 212760967221940*lu1^6 + 794412959425400*lu1^7)*( f42[t] - I*f42n[t]) - 3*(36842847 + 1615007590*lu1 - 13021464860*lu1^2 - 536513334442*lu1^3 - 1497434069223* lu1^4 + 15731867370916*lu1^5 + 83138200525220*lu1^6 + 99438340887200*lu1^7)*(g42[t] - I*g42n[t])))))/ (66066*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*mar*(120*(-1 - 9*lu1 + 10*lu1^2)* (f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((217 + 3329*lu1 + 11590*lu1^2)* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 4*(f22[t] + I*f22n[t])*((-1007 + 6741*lu1 + 6830*lu1^2)*(f42[t] + I*f42n[t]) + (43 - 1869*lu1 - 2830*lu1^2)*(g42[t] + I*g42n[t])))))/(196*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)* Pi) + (4*Sqrt[5]*mar*(6*(1461 - 5141*lu1 - 283035*lu1^2 - 876711*lu1^3 - 120566*lu1^4 + 940440*lu1^5)*f40[t]* (f42[t] + I*f42n[t])*g20[t] + f20[t]* (30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f42[t] + I*f42n[t])*g40[t] + f40[t]*((15579 - 445797*lu1 + 2967881*lu1^2 + 13925989*lu1^3 - 16188440*lu1^4 - 49866508*lu1^5)*(f42[t] + I*f42n[t]) + 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(g42[t] + I*g42n[t])))))/(539*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (10*mar*(-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f42[t] + I*f42n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g42[t] + I*g42n[t])))))/(539*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (10*mar*(30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f42[t] + I*f42n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g42[t] + I*g42n[t])))))/(539*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (75*lu1*mar*((3125679 - 10946072*lu1 - 583568786*lu1^2 - 914601388*lu1^3 + 3355783391*lu1^4 + 1118153196*lu1^5 - 7642055460*lu1^6)*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (4*(-45162 + 655617*lu1 + 3577261*lu1^2 - 67923357*lu1^3 + 9232309*lu1^4 + 957231408*lu1^5 + 1300780660*lu1^6)* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-4941255 - 34309457*lu1 + 1700286745*lu1^2 - 6280320455* lu1^3 - 16498594670*lu1^4 + 81849054220*lu1^5 + 145239273256*lu1^6)*(f42[t] + I*f42n[t]) - 21*(-3 + 13*lu1 + 38*lu1^2)^2*(12092 + 155347*lu1 + 1063793*lu1^2)*(g42[t] + I*g42n[t])))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (75*lu1*mar*(8*(-45162 + 655617*lu1 + 3577261*lu1^2 - 67923357*lu1^3 + 9232309*lu1^4 + 957231408*lu1^5 + 1300780660*lu1^6)* (f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((3125679 - 10946072*lu1 - 583568786*lu1^2 - 914601388*lu1^3 + 3355783391*lu1^4 + 1118153196*lu1^5 - 7642055460*lu1^6)*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((-4941255 - 34309457*lu1 + 1700286745* lu1^2 - 6280320455*lu1^3 - 16498594670*lu1^4 + 81849054220* lu1^5 + 145239273256*lu1^6)*(f42[t] + I*f42n[t]) - 21*(-3 + 13*lu1 + 38*lu1^2)^2*(12092 + 155347*lu1 + 1063793*lu1^2)*(g42[t] + I*g42n[t])))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*(-1 + 5*lu1)*mar*((-5660307 + 27634494*lu1 + 960710800*lu1^2 + 1446313390*lu1^3 - 1805915785*lu1^4 - 3869074684*lu1^5 + 3748411548*lu1^6)*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) - 2*(f22[t] - I*f22n[t])* (4*(-666 - 79647*lu1 - 1007819*lu1^2 - 11892237*lu1^3 + 86779789*lu1^4 + 293389680*lu1^5 + 158141332*lu1^6)* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(-12669858 + 170115645*lu1 + 296380621*lu1^2 - 6280115577* lu1^3 + 2291700229*lu1^4 + 71106386376*lu1^5 + 94543328836* lu1^6)*(f42[t] + I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*( 78581 + 1500718*lu1 + 2415197*lu1^2)*(g42[t] + I*g42n[t])))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*(-1 + 5*lu1)*mar*(8*(-666 - 79647*lu1 - 1007819*lu1^2 - 11892237*lu1^3 + 86779789*lu1^4 + 293389680*lu1^5 + 158141332*lu1^6)*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((5660307 - 27634494*lu1 - 960710800*lu1^2 - 1446313390*lu1^3 + 1805915785*lu1^4 + 3869074684*lu1^5 - 3748411548*lu1^6)* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*(2*(-12669858 + 170115645*lu1 + 296380621*lu1^2 - 6280115577*lu1^3 + 2291700229*lu1^4 + 71106386376*lu1^5 + 94543328836*lu1^6)*(f42[t] + I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(78581 + 1500718*lu1 + 2415197*lu1^2)*(g42[t] + I*g42n[t])))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (45*Sqrt[5]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*g20[t] + f20[t]* (2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] + I*f42n[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*(g42[t] + I*g42n[t])))))/(14014*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (135*Sqrt[5]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* f40[t]*(f42[t] + I*f42n[t])*g20[t] + f20[t]*(-20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] + I*f42n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(g42[t] + I*g42n[t])))))/(14014*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (45*mar*(2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*(f42[t] + I*f42n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*( g42[t] + I*g42n[t])))))/(2548*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (45*mar*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*(f22[t] + I*f22n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*(f42[t] + I*f42n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*( g42[t] + I*g42n[t])))))/(2548*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (27*Sqrt[5]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* f40[t]*(f42[t] + I*f42n[t])*g20[t] + f20[t]*((177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + 2*f40[t]*(3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] + I*f42n[t]) + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*(g42[t] + I*g42n[t])))))/ (7007*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*mar*(4*(3133 + 16918*lu1 + 13701*lu1^2 - 26456*lu1^3)* (f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(-((-231 + 464*lu1 + 5253*lu1^2 + 6802*lu1^3)* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])) + 20*(f22[t] + I*f22n[t])*((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*(f42[t] + I*f42n[t]) + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*(g42[t] + I*g42n[t])))))/ (196*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) - (45*Sqrt[5]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*g20[t] + f20[t]* (2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f42[t] + I*f42n[t]) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)*(g42[t] + I*g42n[t])))))/ (1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (175*mar*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)* (f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(-14*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*(f42[t] + I*f42n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g42[t] + I*g42n[t])))))/ (3146*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (25*mar*(-28*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)* (f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*(f42[t] + I*f42n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g42[t] + I*g42n[t])))))/ (6292*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (15*Sqrt[5]*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*g20[t] + f20[t]* (5*(51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(f42[t] + I*f42n[t])* g40[t] + f40[t]*(-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f42[t] + I*f42n[t]) + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(g42[t] + I*g42n[t])))))/ (1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*mar*(2*(41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)* (f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 3*(f22[t] - I*f22n[t])*(-15*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 4*(f22[t] + I*f22n[t])*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f42[t] + I*f42n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g42[t] + I*g42n[t])))))/ (23716*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (mar*(45*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)* (f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 2*(f22[t] - I*f22n[t])*((41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 6*(f22[t] + I*f22n[t])*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f42[t] + I*f42n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g42[t] + I*g42n[t])))))/ (1694*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*Sqrt[5]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*g20[t] + f20[t]* (-30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)*(f42[t] + I*f42n[t])* g40[t] + f40[t]*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f42[t] + I*f42n[t]) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)*(g42[t] + I*g42n[t])))))/ (1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (4*Sqrt[5]*mar*(-12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*g20[t] + f20[t]* (-144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(f42[t] + I*f42n[t])* g40[t] + 5*f40[t]*((-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)* (f42[t] + I*f42n[t]) + (-51 - 1936*lu1 + 9993*lu1^2 + 27322*lu1^3)*(g42[t] + I*g42n[t])))))/ (539*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*Sqrt[5]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*g20[t] + f20[t]* (63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*(f42[t] + I*f42n[t])* g40[t] + f40[t]*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] + I*f42n[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*(g42[t] + I*g42n[t])))))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (9*Sqrt[5]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*g20[t] + f20[t]* ((163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] + I*f42n[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(g42[t] + I*g42n[t])))))/(7007*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar*(10*(-89412 + 21320440*lu1 + 930066353*lu1^2 - 19726222640*lu1^3 - 372156657450*lu1^4 - 585155647844*lu1^5 + 641757586625*lu1^6 + 974617518196*lu1^7 + 985489761060*lu1^8)*f40[t]*(f42[t] + I*f42n[t])*g20[t] + f20[t]*(-4*(412479 + 10715787*lu1 - 514909320*lu1^2 + 1607725330*lu1^3 + 61919002895*lu1^4 - 184122537217*lu1^5 - 1190392213086*lu1^6 + 469994776980*lu1^7 + 3323541495400*lu1^8)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((-47646597 + 843422486* lu1 + 8016106978*lu1^2 - 20596831960*lu1^3 + 2650103114195* lu1^4 + 9489210093906*lu1^5 + 21167774662152*lu1^6 + 63742169683496*lu1^7 + 14191185780240*lu1^8)*(f42[t] + I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(205653 + 43957*lu1 - 179578351*lu1^2 - 1549283621*lu1^3 + 1219289610*lu1^4)*(g42[t] + I*g42n[t])))))/ (14014*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (45*Sqrt[5]*lu1*mar*(2*(2875464 + 122954892*lu1 - 1994522415*lu1^2 - 61695722200*lu1^3 - 356624756670*lu1^4 - 3076887657792*lu1^5 - 7864923627511*lu1^6 + 6162919525860*lu1^7 + 21495632837700*lu1^8)* f40[t]*(f42[t] + I*f42n[t])*g20[t] + f20[t]*(-20*(144666 - 1200645*lu1 - 62832414*lu1^2 + 568830470*lu1^3 + 7054284130*lu1^4 - 45283836653*lu1^5 - 90833082990*lu1^6 + 271467365892*lu1^7 + 453160956920*lu1^8)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((-33460821 - 162977658* lu1 + 26901980306*lu1^2 + 26700928840*lu1^3 + 180723254115* lu1^4 - 1917029509822*lu1^5 + 53376562993624*lu1^6 + 124125744645672*lu1^7 + 34228044985680*lu1^8)*(f42[t] + I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(266064 + 182627*lu1 - 238417808*lu1^2 - 2054123497*lu1^3 + 5329116870*lu1^4)*(g42[t] + I*g42n[t])))))/ (14014*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (45*mar*(-220*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f22[t] + I*f22n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 3*(f22[t] - I*f22n[t])* (75*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f42[t] + I*f42n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g42[t] + I*g42n[t])))))/ (23716*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (mar*(225*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(f22[t] + I*f22n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-110*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 3*(f22[t] + I*f22n[t])*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f42[t] + I*f42n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g42[t] + I*g42n[t])))))/(1694*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (15*Sqrt[5]*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*f40[t]*(f42[t] + I*f42n[t])*g20[t] + f20[t]*(-4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f42[t] + I*f42n[t]) - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*( g42[t] + I*g42n[t])))))/(1078*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (3*Sqrt[5]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f42[t] + I*f42n[t])*g20[t] + 2*f20[t]* (-((-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706* lu1^4 + 33330560*lu1^5)*(f42[t] + I*f42n[t])*g40[t]) + 4*f40[t]*(2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] + I*f42n[t]) - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(g42[t] + I*g42n[t])))))/ (7007*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (175*mar*(-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f22[t] + I*f22n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])*(-924*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f42[t] + I*f42n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g42[t] + I*g42n[t])))))/ (3146*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (25*mar*(-1848*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])) + 2*(f22[t] + I*f22n[t])*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f42[t] + I*f42n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g42[t] + I*g42n[t])))))/(6292*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (3*Sqrt[5]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f42[t] + I*f42n[t])*g20[t] + 2*f20[t]* (-12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f42[t] + I*f42n[t])*g40[t] + f40[t]*(8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] + I*f42n[t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(g42[t] + I*g42n[t])))))/ (7007*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[5]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*f40[t]*(f42[t] + I*f42n[t])* g20[t] + f20[t]*(168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(f42[t] + I*f42n[t])*g40[t] + f40[t]*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] + I*f42n[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(g42[t] + I*g42n[t])))))/ (286*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - ((-1 + 5*lu1)*mar*(-11*(4195929 + 70814293*lu1 - 1365853181*lu1^2 - 17477009677*lu1^3 - 7559444800*lu1^4 + 17703308700*lu1^5)* (f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(3*(962229 - 326081225*lu1 + 7989005897*lu1^ 2 + 155261388261*lu1^3 + 101932621270*lu1^4 + 32814429200*lu1^5)*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((-9343491 + 2934704941*lu1 - 34593516759*lu1^2 - 607635493085*lu1^3 + 1558376145450* lu1^4 + 965491996000*lu1^5)*(f42[t] + I*f42n[t]) - 90*(-29751 + 1476833*lu1 - 11760173*lu1^2 - 193411425*lu1^3 + 962107112*lu1^4 + 2579197180*lu1^5)*(g42[t] + I*g42n[t])))))/ (66066*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*lu1*mar*(-55*(992127 + 15930043*lu1 - 340386763*lu1^2 - 3928657907*lu1^3 + 2819978400*lu1^4 + 20591081700*lu1^5)*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((47911857 - 32120305*lu1 + 10466660021*lu1^2 + 203106894453*lu1^ 3 + 226873230470*lu1^4 + 730677626000*lu1^5)* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((-61857357 + 2068302919*lu1 - 15101382985*lu1^2 - 381118737327*lu1^3 + 759822579550*lu1^4 + 237650487200*lu1^5)*(f42[t] + I*f42n[t]) - 30*(-186930 + 3391053*lu1 + 5694440*lu1^2 - 371613691*lu1^3 + 1012363252* lu1^4 + 3496498180*lu1^5)*(g42[t] + I*g42n[t])))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar* (105*(-1 + 7*lu1 + 170*lu1^2)^2*(690 + 3037*lu1 + 5729*lu1^2)*f40[t]* (f42[t] + I*f42n[t])*g20[t] + f20[t]* (2*(295776 + 3247900*lu1 + 45108399*lu1^2 - 992456791*lu1^3 - 9488071517*lu1^4 - 4835010441*lu1^5 + 7668334610*lu1^6)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((426339 + 43652020*lu1 - 762891606*lu1^2 + 81557432*lu1^3 + 26311718575*lu1^4 - 58384636548*lu1^5 + 86509175900*lu1^6)*(f42[t] + I*f42n[t]) + 2*(5667 - 129110*lu1 - 1032588*lu1^2 + 16056386*lu1^3 + 173596285*lu1^4 + 491626956*lu1^5 - 4639092940*lu1^6)*( g42[t] + I*g42n[t])))))/(14014*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar* (2*(-9295248 + 26130627*lu1 + 1591584911*lu1^2 + 4516027293*lu1^3 + 949049*lu1^4 - 4365219444*lu1^5 - 901049380*lu1^6)*f40[t]* (f42[t] + I*f42n[t])*g20[t] + f20[t]* (-105*(-3 + 13*lu1 + 38*lu1^2)^2*(1060 + 22151*lu1 + 63157*lu1^2)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*(3*(1284368 + 44222703*lu1 - 545333881*lu1^2 - 7488117683*lu1^3 - 2979143559*lu1^4 + 18717181184*lu1^5 + 16547264180*lu1^6)*( f42[t] + I*f42n[t]) + 10*(-60201 + 451380*lu1 + 11251498*lu1^2 - 26036976*lu1^3 - 296496293*lu1^4 - 135087516*lu1^5 + 545787388*lu1^6)*(g42[t] + I*g42n[t])))))/ (14014*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (45*Sqrt[5]*lu1*mar*(2*(3997869 + 2658718*lu1 - 715636536*lu1^2 - 3338496058*lu1^3 - 3316460129*lu1^4 + 3106331436*lu1^5 + 2753184860*lu1^6)*f40[t]*(f42[t] + I*f42n[t])*g20[t] + f20[t]*(7*(-3 + 13*lu1 + 38*lu1^2)^2*(8440 + 336947*lu1 + 1655125*lu1^2)*(f42[t] + I*f42n[t])*g40[t] + f40[t]*((523176 - 110285315*lu1 + 735593365*lu1^2 + 11834151655* lu1^3 + 20769419155*lu1^4 - 35365495568*lu1^5 - 58906561700*lu1^6)*(f42[t] + I*f42n[t]) - 2*(-265122 + 3003783*lu1 + 36976859*lu1^2 - 230280243*lu1^3 - 536088529*lu1^4 + 862687224*lu1^5 + 1548945740*lu1^6)*( g42[t] + I*g42n[t])))))/(14014*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (45*Sqrt[5]*lu1*mar*(7*(-1 + 7*lu1 + 170*lu1^2)^2*(-6067 + 56082*lu1 + 181857*lu1^2)*f40[t]*(f42[t] + I*f42n[t])*g20[t] + f20[t]*(-2*(-27222 + 516569*lu1 + 6690573*lu1^2 - 104040773*lu1^3 - 677518255*lu1^4 + 3558752448*lu1^5 + 11271746980*lu1^6)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((-80801 + 35068400*lu1 - 271417930*lu1^2 - 2775070036*lu1^3 + 10851139751*lu1^4 + 48811922924*lu1^5 + 147152487100*lu1^6)*(f42[t] + I*f42n[t]) + 2*(107136 + 4164638*lu1 + 61579617*lu1^2 - 635739089*lu1^3 - 8730661519*lu1^4 - 10176379017*lu1^5 + 3007592170*lu1^6)*(g42[t] + I*g42n[t])))))/ (14014*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^3*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*(105*(-1 + 7*lu1 + 170*lu1^2)^2* (690 + 3037*lu1 + 5729*lu1^2)*f40[t]*(f42[t] + I*f42n[t])*g20[t] + f20[t]*(2*(5667 - 129110*lu1 - 1032588*lu1^2 + 16056386*lu1^3 + 173596285*lu1^4 + 491626956*lu1^5 - 4639092940*lu1^6)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((426339 + 43652020*lu1 - 762891606*lu1^2 + 81557432*lu1^3 + 26311718575*lu1^4 - 58384636548*lu1^5 + 86509175900*lu1^6)*(f42[t] + I*f42n[t]) + 2*(295776 + 3247900*lu1 + 45108399*lu1^2 - 992456791*lu1^3 - 9488071517*lu1^4 - 4835010441*lu1^5 + 7668334610*lu1^6)*( g42[t] + I*g42n[t])))))/(14014*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (45*Sqrt[5]*lu1*mar*(7*(-1 + 7*lu1 + 170*lu1^2)^2*(-6067 + 56082*lu1 + 181857*lu1^2)*f40[t]*(f42[t] + I*f42n[t])*g20[t] + f20[t]*(2*(107136 + 4164638*lu1 + 61579617*lu1^2 - 635739089*lu1^ 3 - 8730661519*lu1^4 - 10176379017*lu1^5 + 3007592170*lu1^6)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((-80801 + 35068400*lu1 - 271417930*lu1^2 - 2775070036*lu1^3 + 10851139751*lu1^4 + 48811922924*lu1^5 + 147152487100*lu1^6)*(f42[t] + I*f42n[t]) - 2*(-27222 + 516569*lu1 + 6690573*lu1^2 - 104040773*lu1^3 - 677518255*lu1^4 + 3558752448*lu1^5 + 11271746980*lu1^6)*(g42[t] + I*g42n[t])))))/ (14014*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar*(60*(1377 + 2206*lu1 - 538816*lu1^2 - 1666978*lu1^3 + 45834067*lu1^4 + 207231716*lu1^5 + 53692460*lu1^6)*f40[t]*(f42[t] + I*f42n[t])*g20[t] + f20[t]*(-105*(4230 + 22209*lu1 - 1283563*lu1^2 - 8960933*lu1^3 + 43266957*lu1^4 + 279665048*lu1^5 + 335551780*lu1^6)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((-5176770 + 27979645*lu1 + 1190123817*lu1^2 - 3752792041*lu1^3 - 50079754223*lu1^4 + 1150393104*lu1^5 + 183278043620*lu1^6)*(f42[t] + I*f42n[t]) + (-2436759 - 6215072*lu1 + 502348854*lu1^2 + 2288357240*lu1^3 - 13846271507*lu1^4 - 7411579248*lu1^5 + 35245058060*lu1^6)*( g42[t] + I*g42n[t])))))/(14014*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) - (45*Sqrt[5]*lu1*mar*(4*(18498 - 138115*lu1 - 4448559*lu1^2 + 2871895*lu1^3 + 272562293*lu1^4 + 1499370960*lu1^5 + 2785465300*lu1^6)*f40[t]*(f42[t] + I*f42n[t])*g20[t] + f20[t]*(-21*(-29136 - 239597*lu1 + 12480459*lu1^2 + 44798153*lu1^3 - 774357995*lu1^4 + 80583120*lu1^5 + 3411493700*lu1^6)*(f42[t] + I*f42n[t])*g40[t] + f40[t]*(3*(-1010730 + 9834033*lu1 + 123172861*lu1^2 - 474663981*lu1^3 - 6654785115*lu1^4 - 3438639536*lu1^5 + 11462271540*lu1^6)*(f42[t] + I*f42n[t]) + (-1918527 - 14081176*lu1 + 562784766*lu1^2 + 2651656096*lu1^3 - 23741510515*lu1^4 - 17131922304*lu1^5 + 77313622060*lu1^6)*( g42[t] + I*g42n[t])))))/(14014*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) - (5*lu1*mar*(55*(-1 + 7*lu1 + 170*lu1^2)^2*(-1279743 - 31523348*lu1 - 35304279*lu1^2 + 81469290*lu1^3)*(f22[t] + I*f22n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (660*(54198 - 1284369*lu1 - 10626371*lu1^2 + 289271583*lu1^3 + 747047261*lu1^4 - 14164537538*lu1^5 + 2907273900*lu1^6 + 63569823800*lu1^7)*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(8634108 + 2810588113*lu1 - 74267654933* lu1^2 + 415188302189*lu1^3 + 6315592896993*lu1^4 - 76174428868346*lu1^5 + 311090084280380*lu1^6 + 830118692559800*lu1^7)*(f42[t] + I*f42n[t]) + (42059889 + 109548474*lu1 + 8125277564*lu1^2 - 146297948118* lu1^3 + 1286881530103*lu1^4 + 31647317917244*lu1^5 - 162516632405220*lu1^6 - 438728335623200*lu1^7)*(g42[t] + I*g42n[t])))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (75*lu1*mar*(-132*(-20406 + 1696845*lu1 + 23840263*lu1^2 - 593700355*lu1^3 - 5535542081*lu1^4 + 24979173850*lu1^5 + 175659716900*lu1^6 + 143262553000*lu1^7)*(f22[t] + I*f22n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (770*(-1 + 7*lu1 + 170*lu1^2)^2*(-10509 - 212738*lu1 + 917925*lu1^2 + 3739050*lu1^3)*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(77633388 + 1404911759*lu1 - 23449281611*lu1^2 + 141627939907*lu1^3 + 3325749085303*lu1^4 - 57272556786518* lu1^5 + 156008719779940*lu1^6 + 490539364939400*lu1^7)*( f42[t] + I*f42n[t]) + (72074451 + 2483358642*lu1 + 15282203840*lu1^2 - 204943458894*lu1^3 - 720552037127*lu1^4 + 19231862600972*lu1^5 - 83614306286460*lu1^6 - 231648729737600* lu1^7)*(g42[t] + I*g42n[t])))))/ (308308*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*(-1 + 5*lu1)*mar* (660*(6939 - 463478*lu1 - 6052118*lu1^2 + 199558532*lu1^3 + 858506223*lu1^4 - 13534917710*lu1^5 - 6837504460*lu1^6 + 75693829400*lu1^7)*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (154*(-1 + 7*lu1 + 170*lu1^2)^2*(-20247 - 77153*lu1 + 9865172*lu1^2 + 14980980*lu1^3)*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(-106767681 + 2318378760*lu1 + 64077838900*lu1^2 - 729327061278*lu1^3 + 2620985873153*lu1^4 - 35439151369874* lu1^5 + 114770063743020*lu1^6 + 429299107416200*lu1^7)*( f42[t] + I*f42n[t]) + (28685277 + 301038470*lu1 + 21471403520*lu1^2 + 643150288798*lu1^3 - 566812720713*lu1^4 - 14412494103604*lu1^5 - 100070907777380*lu1^6 - 125245255872800*lu1^7)*(g42[t] + I*g42n[t])))))/ (308308*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (75*lu1*mar*(-((201221133 + 7076626472*lu1 + 80298377986*lu1^2 + 118727080148*lu1^3 - 8227414865211*lu1^4 - 28604758074692* lu1^5 - 13749227775340*lu1^6 + 29377650450400*lu1^7)* (f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])*(-77*(-542691 - 5922396*lu1 + 237913832*lu1^2 + 1291050866*lu1^3 - 15168997337*lu1^4 - 27336882158*lu1^5 + 129276266100*lu1^6 + 233814079800*lu1^7)* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((99543585 + 2283546118*lu1 + 41363691104*lu1^2 + 383594468102* lu1^3 - 4796715767869*lu1^4 - 18936751690492*lu1^5 - 21431606888020*lu1^6 + 13663664896000*lu1^7)*(f42[t] + I*f42n[t]) + 120*(-53748 - 890481*lu1 + 9057627*lu1^2 + 206480041*lu1^3 - 748116007*lu1^4 - 5877372732*lu1^5 + 7940479060*lu1^6 + 30441795440*lu1^7)*(g42[t] + I*g42n[t])))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*(-1 + 5*lu1)*mar*((324586623 + 7117668952*lu1 + 29345675926*lu1^2 + 445560632348*lu1^3 - 9179683433721*lu1^4 - 35078948720972*lu1^5 - 15606503846500*lu1^6 + 46276339508000*lu1^7)*(f22[t] + I*f22n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (77*(130401 + 1374471*lu1 - 55813367*lu1^2 - 266721351*lu1^3 + 2970166042*lu1^4 + 241469748*lu1^5 + 7971351400*lu1^6 + 41148391200*lu1^7)*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-205375659 - 2220479282*lu1 + 986596064*lu1^2 - 694384995378*lu1^3 + 6539577103871*lu1^4 + 16099400970900*lu1^5 + 20597635653020*lu1^6 - 11272898156800* lu1^7)*(f42[t] + I*f42n[t]) - 60*(-6480 - 1839507*lu1 - 31012819*lu1^2 + 687540413*lu1^3 + 551841119*lu1^4 - 22250810098*lu1^5 + 235502612*lu1^6 + 82012816760*lu1^7)*( g42[t] + I*g42n[t])))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + ((-1 + 5*lu1)*mar*(11*(-1 + 7*lu1 + 170*lu1^2)^2* (-5062641 - 115607384*lu1 + 67376891*lu1^2 + 199634190*lu1^3)* (f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(1980*(9501 - 485690*lu1 + 2276798*lu1^2 + 121434892*lu1^3 - 769061343*lu1^4 - 8841471298*lu1^5 + 39782365900*lu1^6 + 106940325800*lu1^7)*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(-313051467 + 2229507740*lu1 + 84783271840*lu1^2 - 136554550646*lu1^3 - 2978819351369*lu1^4 - 28945395157598* lu1^5 + 212760967221940*lu1^6 + 794412959425400*lu1^7)*( f42[t] + I*f42n[t]) - 3*(36842847 + 1615007590*lu1 - 13021464860*lu1^2 - 536513334442*lu1^3 - 1497434069223* lu1^4 + 15731867370916*lu1^5 + 83138200525220*lu1^6 + 99438340887200*lu1^7)*(g42[t] + I*g42n[t])))))/ (66066*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (45*Sqrt[5]*lu1*mar* (2*(1250946 - 10321413*lu1 - 690833198*lu1^2 + 3332174614*lu1^3 + 105851585146*lu1^4 - 98502160573*lu1^5 - 3431976817310*lu1^6 + 3919709349700*lu1^7 + 21118692595000*lu1^8)*f40[t]* (f42[t] + I*f42n[t])*g20[t] + f20[t]* (-((7384539 + 72266723*lu1 - 7861383182*lu1^2 - 58139648774* lu1^3 + 1572777760039*lu1^4 + 3867728495143*lu1^5 - 85142043276260*lu1^6 + 23802784809500*lu1^7 + 386949722754000* lu1^8)*(f42[t] + I*f42n[t])*g40[t]) + f40[t]*((-4739847 + 151295258*lu1 - 4445691638*lu1^2 - 2046934776*lu1^3 + 2489552643881*lu1^4 - 6410792248194* lu1^5 - 120988161831348*lu1^6 + 207149881002600*lu1^7 + 797011887996800*lu1^8)*(f42[t] + I*f42n[t]) + 21*(378792 - 2479797*lu1 - 429553666*lu1^2 - 132934146*lu1^3 + 108034687648*lu1^4 + 287722733531*lu1^5 - 4969116762534* lu1^6 - 4674762203900*lu1^7 + 11122992665400*lu1^8)*( g42[t] + I*g42n[t])))))/(14014*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*(2*(655317 + 24390489*lu1 - 1069998576*lu1^2 - 4200461042*lu1^3 + 220370819357*lu1^4 + 286135990669*lu1^5 - 10061473145450*lu1^6 + 14481954914300* lu1^7 + 61720322587000*lu1^8)*f40[t]*(f42[t] + I*f42n[t])* g20[t] + f20[t]*((-4180293 - 7685651*lu1 + 849781034*lu1^2 + 38490604478*lu1^3 + 522312573407*lu1^4 + 1023980415329*lu1^5 - 282851459620*lu1^6 - 89272573252700*lu1^7 - 194970460818000*lu1^ 8)*(f42[t] + I*f42n[t])*g40[t] + f40[t]* ((3261753 - 330120994*lu1 + 3988725970*lu1^2 - 36162420432* lu1^3 + 1610353983113*lu1^4 + 17830116656322*lu1^5 - 227542020909084*lu1^6 + 4563893304600*lu1^7 + 1068758670442400*lu1^8)*(f42[t] + I*f42n[t]) + 7*(962325 - 15332697*lu1 - 892340252*lu1^2 + 6809485914*lu1^3 + 167356851197*lu1^4 - 173872874309*lu1^5 - 5663739027966* lu1^6 - 2975352754300*lu1^7 + 12908362374600*lu1^8)*( g42[t] + I*g42n[t])))))/(14014*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*mar*f20[t]*((97 + 2249*lu1 + 12790*lu1^2)*(f42[t] - I*f42n[t])* g20[t] + 4*f20[t]*((-1007 + 6741*lu1 + 6830*lu1^2)* (f42[t] - I*f42n[t]) + (43 - 1869*lu1 - 2830*lu1^2)* (g42[t] - I*g42n[t]))))/(196*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) + (5*mar*(f22[t] + I*f22n[t])* ((97 + 2249*lu1 + 12790*lu1^2)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + 4*(f22[t] + I*f22n[t])* ((-1007 + 6741*lu1 + 6830*lu1^2)*(f42[t] - I*f42n[t]) + (43 - 1869*lu1 - 2830*lu1^2)*(g42[t] - I*g42n[t]))))/ (196*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) - (10*mar*f20[t]*(6*(-234 + 939*lu1 + 43785*lu1^2 + 124819*lu1^3 + 152549*lu1^4 + 38590*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f42[t] - I*f42n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(g42[t] - I*g42n[t]))))/(539*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (5*(-1 + 5*lu1)*mar*f20[t]* ((-3663693 + 33835326*lu1 + 1334085380*lu1^2 + 1526188110*lu1^3 - 900481435*lu1^4 - 963093036*lu1^5 + 4082885252*lu1^6)* (f42[t] - I*f42n[t])*g20[t] + f20[t]* (36*(-2213139 + 31249281*lu1 - 16579845*lu1^2 - 1270448005*lu1^3 - 145569060*lu1^4 + 14063409112*lu1^5 + 18248105832*lu1^6)* (f42[t] - I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2* (302113 + 5480192*lu1 + 8218495*lu1^2)*(g42[t] - I*g42n[t]))))/ (42042*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (25*lu1*mar*f20[t]*(3*(-363135 + 13790728*lu1 + 53548954*lu1^2 + 533547332*lu1^3 + 2807751161*lu1^4 + 3659834028*lu1^5 - 1072597260*lu1^6)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*(2*(-8957817 - 58263933*lu1 + 2512554001*lu1^2 - 13424757387*lu1^3 - 31755808556*lu1^4 + 133888767228*lu1^5 + 255247300000*lu1^6)*(f42[t] - I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(168757 + 2171696*lu1 + 10253275*lu1^2)*(g42[t] - I*g42n[t]))))/ (14014*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (405*Sqrt[3]*mar*(f42[t] - I*f42n[t])* (2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)* (f42[t] - I*f42n[t]) + (237 + 9992*lu1 - 50751*lu1^2 - 139574*lu1^3)*(g42[t] - I*g42n[t]))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (135*mar*f20[t]*(2*(9 + 524*lu1 + 3333*lu1^2 + 10342*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + f20[t]* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)* (f42[t] - I*f42n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(g42[t] - I*g42n[t]))))/ (1274*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (675*mar*(f22[t] + I*f22n[t])*(2*(9 + 524*lu1 + 3333*lu1^2 + 10342*lu1^3)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*(f42[t] - I*f42n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(g42[t] - I*g42n[t]))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*mar*f20[t]*((12763 + 67208*lu1 + 49551*lu1^2 - 112626*lu1^3)*(f42[t] - I*f42n[t])*g20[t] + 20*f20[t]*((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)* (f42[t] - I*f42n[t]) + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)* (g42[t] - I*g42n[t]))))/(196*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) - (5*mar*(f22[t] + I*f22n[t])*((12763 + 67208*lu1 + 49551*lu1^2 - 112626*lu1^3)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 20*(f22[t] + I*f22n[t])*((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*(f42[t] - I*f42n[t]) + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*(g42[t] - I*g42n[t]))))/ (196*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (70*mar*f20[t]*(-((1905 + 178808*lu1 + 310117*lu1^2 + 1768242*lu1^3)* (f42[t] - I*f42n[t])*g20[t]) + 2*f20[t]* ((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)* (f42[t] - I*f42n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)* (g42[t] - I*g42n[t]))))/(1573*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (25*mar*(f22[t] + I*f22n[t])* (-((1905 + 178808*lu1 + 310117*lu1^2 + 1768242*lu1^3)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])) + 2*(f22[t] + I*f22n[t])*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*(f42[t] - I*f42n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g42[t] - I*g42n[t]))))/ (6292*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (4*mar*f20[t]*((85407 + 1508158*lu1 + 849903*lu1^2 - 2751820*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + 12*f20[t]* ((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)* (f42[t] - I*f42n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g42[t] - I*g42n[t]))))/ (17787*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*mar*(f22[t] + I*f22n[t])*((85407 + 1508158*lu1 + 849903*lu1^2 - 2751820*lu1^3)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 12*(f22[t] + I*f22n[t])*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f42[t] - I*f42n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g42[t] - I*g42n[t]))))/(23716*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (10*mar*(f42[t] - I*f42n[t])* (12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)* (f42[t] - I*f42n[t]) + (399 + 3200*lu1 + 9219*lu1^2 + 22510*lu1^3)*(g42[t] - I*g42n[t]))))/(539*Sqrt[3]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (135*Sqrt[3]*mar*(f42[t] - I*f42n[t])* (220*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)* (f42[t] - I*f42n[t]) + 9*(169 + 2870*lu1 + 17041*lu1^2 + 103440*lu1^3)*(g42[t] - I*g42n[t]))))/ (28028*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*mar*(f42[t] - I*f42n[t])*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] - I*f42n[t]) + (429 + 13088*lu1 + 189065*lu1^2 + 9168810*lu1^3)* (g42[t] - I*g42n[t]))))/(143*Sqrt[3]*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (225*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])* ((5121 + 6341*lu1 - 78451*lu1^2 - 225149*lu1^3 + 1017898*lu1^4)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 4*(f22[t] + I*f22n[t])* ((-1044 - 4157*lu1 - 177680*lu1^2 + 1124771*lu1^3 + 1165310*lu1^4)* (f42[t] - I*f42n[t]) + (-111 + 2356*lu1 + 21997*lu1^2 - 148186*lu1^3 - 363736*lu1^4)*(g42[t] - I*g42n[t]))))/ (2002*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (2025*lu1*mar*(f22[t] + I*f22n[t])* (3*(2281 + 17287*lu1 - 330219*lu1^2 - 471203*lu1^3 + 1354270*lu1^4)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* (5*(-2499 + 11362*lu1 - 103031*lu1^2 + 1000964*lu1^3 + 971732*lu1^4)*(f42[t] - I*f42n[t]) - (5061 + 43622*lu1 - 572959*lu1^2 + 143752*lu1^3 + 2847340*lu1^4)* (g42[t] - I*g42n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*mar*(f42[t] - I*f42n[t])* (84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)* (f42[t] - I*f42n[t]) + (765 - 14643*lu1 + 476207*lu1^2 + 13758099*lu1^3 - 72731864*lu1^4 - 196427700*lu1^5)* (g42[t] - I*g42n[t]))))/(286*Sqrt[3]*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (4*mar*f20[t]* (5*(-1929 + 17167*lu1 + 291821*lu1^2 - 621183*lu1^3 + 2279080*lu1^4 + 12160100*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + 6*f20[t]*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f42[t] - I*f42n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g42[t] - I*g42n[t]))))/ (17787*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*mar*(f22[t] + I*f22n[t])*(5*(-1929 + 17167*lu1 + 291821*lu1^2 - 621183*lu1^3 + 2279080*lu1^4 + 12160100*lu1^5)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 6*(f22[t] + I*f22n[t])* ((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f42[t] - I*f42n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g42[t] - I*g42n[t]))))/ (23716*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (45*Sqrt[3]*mar*(f42[t] - I*f42n[t])*(27*(21 + 67*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* (8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] - I*f42n[t]) + (27129 + 696995*lu1 + 83293*lu1^2 - 24617655*lu1^3 - 62448466*lu1^4 - 36043760*lu1^5)*(g42[t] - I*g42n[t]))))/ (22022*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (10*mar*(f42[t] - I*f42n[t])*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f42[t] - I*f42n[t]) - 2*(549 + 26895*lu1 - 302045*lu1^2 - 125155*lu1^3 + 4225640*lu1^4 + 6122788*lu1^5)*(g42[t] - I*g42n[t]))))/ (539*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)* Pi) + (210*Sqrt[3]*mar*(f42[t] - I*f42n[t])* (-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)* (f42[t] - I*f42n[t]) - 7*(-573 - 32827*lu1 - 40051*lu1^2 + 319639*lu1^3 + 6851944*lu1^4 + 12611820*lu1^5)* (g42[t] - I*g42n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (70*mar*f20[t]*((-5613 + 29155*lu1 + 1307769*lu1^2 + 1369725*lu1^3 - 59417168*lu1^4 - 276225180*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + 2*f20[t]*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f42[t] - I*f42n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g42[t] - I*g42n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (25*mar*(f22[t] + I*f22n[t])*((-5613 + 29155*lu1 + 1307769*lu1^2 + 1369725*lu1^3 - 59417168*lu1^4 - 276225180*lu1^5)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* (3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f42[t] - I*f42n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g42[t] - I*g42n[t]))))/ (6292*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (5*lu1*mar*f20[t]*(55*(-2653587 - 271692606*lu1 + 4721436602*lu1^2 + 88349408304*lu1^3 - 731192794571*lu1^4 - 9723217216210*lu1^5 - 4018615295460*lu1^6 + 34749087255400*lu1^7)*(f42[t] - I*f42n[t])* g20[t] + 4*f20[t]*(2*(-36628641 + 6332652429*lu1 - 182571217549*lu1^2 + 1639210499547*lu1^3 + 11780167261354*lu1^ 4 - 248629731229228*lu1^5 + 989432259351240*lu1^6 + 2641400873910400*lu1^7)*(f42[t] - I*f42n[t]) + (80244432 - 953620713*lu1 + 13876220717*lu1^2 - 325756588029*lu1^ 3 + 5408534368939*lu1^4 + 82295985372482*lu1^5 - 555300145657260*lu1^6 - 1335838511264600*lu1^7)* (g42[t] - I*g42n[t]))))/(308308*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (75*lu1*mar*(f22[t] + I*f22n[t])*(22*(-245379 - 12477490*lu1 + 100361582*lu1^2 + 4534622460*lu1^3 - 6318877039*lu1^4 - 326678601850*lu1^5 + 185985701100*lu1^6 + 2922473757000*lu1^7)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(77633388 + 1404911759*lu1 - 23449281611*lu1^2 + 141627939907*lu1^3 + 3325749085303*lu1^4 - 57272556786518*lu1^ 5 + 156008719779940*lu1^6 + 490539364939400*lu1^7)* (f42[t] - I*f42n[t]) + (72074451 + 2483358642*lu1 + 15282203840*lu1^2 - 204943458894*lu1^3 - 720552037127*lu1^4 + 19231862600972*lu1^5 - 83614306286460*lu1^6 - 231648729737600* lu1^7)*(g42[t] - I*g42n[t]))))/ (308308*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])* (22*(66441 - 12460205*lu1 - 63703203*lu1^2 + 4944681605*lu1^3 - 1189641794*lu1^4 - 287818073940*lu1^5 + 2040182288600*lu1^6 + 5301467136000*lu1^7)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(-106767681 + 2318378760*lu1 + 64077838900*lu1^2 - 729327061278*lu1^3 + 2620985873153*lu1^4 - 35439151369874*lu1^5 + 114770063743020*lu1^6 + 429299107416200*lu1^7)*(f42[t] - I*f42n[t]) + (28685277 + 301038470*lu1 + 21471403520*lu1^2 + 643150288798*lu1^ 3 - 566812720713*lu1^4 - 14412494103604*lu1^5 - 100070907777380*lu1^6 - 125245255872800*lu1^7)* (g42[t] - I*g42n[t]))))/(308308*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (75*lu1*mar*(f22[t] + I*f22n[t])* (-((117646719 + 6164577488*lu1 + 116937108114*lu1^2 + 317548913512*lu1^3 - 10563440455109*lu1^4 - 32814637927024* lu1^5 + 6159317204060*lu1^6 + 65385018739600*lu1^7)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])) + 2*(f22[t] + I*f22n[t])*((99543585 + 2283546118*lu1 + 41363691104*lu1^2 + 383594468102*lu1^3 - 4796715767869*lu1^4 - 18936751690492*lu1^5 - 21431606888020*lu1^6 + 13663664896000* lu1^7)*(f42[t] - I*f42n[t]) + 120*(-53748 - 890481*lu1 + 9057627*lu1^2 + 206480041*lu1^3 - 748116007*lu1^4 - 5877372732*lu1^5 + 7940479060*lu1^6 + 30441795440*lu1^7)* (g42[t] - I*g42n[t]))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*lu1*mar*f20[t]*((1101025323 + 38201051022*lu1 - 1421007470394* lu1^2 - 8696782806752*lu1^3 + 133240776419859*lu1^4 + 454628091435058*lu1^5 + 55094385888900*lu1^6 - 671529416772200*lu1^7)*(f42[t] - I*f42n[t])*g20[t] + 4*f20[t]*(4*(244505934 - 10298806602*lu1 + 93531602319*lu1^2 + 1406691719467*lu1^3 - 11816585247849*lu1^4 - 30410379500129*lu1^ 5 - 14544421909920*lu1^6 + 24385500342700*lu1^7)* (f42[t] - I*f42n[t]) - 45*(2456550 - 41616957*lu1 - 80940855*lu1^2 + 3004685395*lu1^3 - 23182859135*lu1^4 + 50204051590*lu1^5 + 237810326876*lu1^6 + 41654424280*lu1^7)* (g42[t] - I*g42n[t]))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])* (-((344668377 + 7329337486*lu1 + 20750417408*lu1^2 + 404485544294*lu1^3 - 8722277863253*lu1^4 - 35041762379780* lu1^5 - 14378915730900*lu1^6 + 52613191752800*lu1^7)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])) + 2*(f22[t] + I*f22n[t])*((205375659 + 2220479282*lu1 - 986596064*lu1^2 + 694384995378*lu1^3 - 6539577103871*lu1^4 - 16099400970900*lu1^5 - 20597635653020*lu1^6 + 11272898156800* lu1^7)*(f42[t] - I*f42n[t]) + 60*(-6480 - 1839507*lu1 - 31012819*lu1^2 + 687540413*lu1^3 + 551841119*lu1^4 - 22250810098*lu1^5 + 235502612*lu1^6 + 82012816760*lu1^7)* (g42[t] - I*g42n[t]))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (66*(-1 + 7*lu1 + 170*lu1^2)^2*(-21033 - 489372*lu1 + 55423*lu1^2 + 532070*lu1^3)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(-10086786 + 40633545*lu1 - 4031788205*lu1^2 + 49738292049*lu1^3 + 181207906751*lu1^4 - 1376100341366*lu1^5 - 1971778544220*lu1^6 + 8339827836200*lu1^ 7)*(f42[t] - I*f42n[t]) - (7119333 + 392429850*lu1 - 619912754*lu1^2 - 35227891980*lu1^3 - 76922668807*lu1^4 + 1012276339090*lu1^5 + 2141073980220*lu1^6 + 137266081400*lu1^7)* (g42[t] - I*g42n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - ((-1 + 5*lu1)*mar*f20[t]*((622190817 + 35375173356*lu1 - 1231956510792*lu1^2 - 9027058124006*lu1^3 + 131734999520547* lu1^4 + 541393271658850*lu1^5 + 405717901922340*lu1^6 - 455655015657800*lu1^7)*(f42[t] - I*f42n[t])*g20[t] + 12*f20[t]*(2*(47464113 - 7707914921*lu1 + 120441655127*lu1^2 + 1048671288271*lu1^3 - 13177218870172*lu1^4 - 14830430324450*lu1^ 5 + 16208218161320*lu1^6 + 38451100972200*lu1^7)* (f42[t] - I*f42n[t]) - 15*(922671 - 50309580*lu1 + 674761564*lu1^2 + 3232909022*lu1^3 - 82287285519*lu1^4 + 141148894590*lu1^5 + 874154372204*lu1^6 + 498618622600*lu1^7)* (g42[t] - I*g42n[t]))))/(924924*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (75*Sqrt[3]*lu1*mar*(f42[t] - I*f42n[t])* (44*(-1 + 7*lu1 + 170*lu1^2)^2*(-28293 - 686657*lu1 - 540882*lu1^2 + 1800120*lu1^3)*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(-10702650 + 128317481*lu1 - 3546820517*lu1^2 + 11214850033*lu1^3 + 307414111423*lu1^4 - 1411479516998*lu1^5 + 1234766039140*lu1^6 + 9169463277800*lu1^ 7)*(f42[t] - I*f42n[t]) - 3*(535089 + 106154780*lu1 + 467143924*lu1^2 - 5488928618*lu1^3 - 30671563865*lu1^4 - 31437958538*lu1^5 + 729360258820*lu1^6 + 1435145889800*lu1^7)* (g42[t] - I*g42n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + ((-1 + 5*lu1)*mar*f20[t]*(11*(-34674597 - 1372631460*lu1 + 38961145376*lu1^2 + 423371962950*lu1^3 - 6527392849127*lu1^4 - 48009057694090*lu1^5 + 135648718977900*lu1^6 + 318280508161000*lu1^7)*(f42[t] - I*f42n[t])*g20[t] + 4*f20[t]*(6*(-279959817 + 1626473325*lu1 + 71105215945*lu1^2 + 47898373539*lu1^3 - 3778089893944*lu1^4 - 28118764357208*lu1^ 5 + 209388373039440*lu1^6 + 785240121772400*lu1^7)* (f42[t] - I*f42n[t]) - (323094573 + 13945604775*lu1 - 95358127655*lu1^2 - 4285625728383*lu1^3 - 14383047977842*lu1^ 4 + 133297579192684*lu1^5 + 789575687494680*lu1^6 + 877814065284800*lu1^7)*(g42[t] - I*g42n[t]))))/ (924924*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (75*Sqrt[3]*lu1*mar*(f42[t] - I*f42n[t])* (16*(5940 + 478383*lu1 + 15555436*lu1^2 - 297109534*lu1^3 - 3202565388*lu1^4 + 8286279003*lu1^5 + 63248403716*lu1^6 + 897379647420*lu1^7 + 1884329585600*lu1^8)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (4*(3901989 - 73451878*lu1 - 3157018178*lu1^2 + 32951544336*lu1^ 3 + 90124492133*lu1^4 - 256788067098*lu1^5 - 10887689266944*lu1^6 + 5975689577880*lu1^7 + 50661701997200*lu1^ 8)*(f42[t] - I*f42n[t]) + (6639639 + 440653*lu1 - 7344280634*lu1^2 - 61798538770*lu1^3 + 1019510792451*lu1^4 + 5212285592449*lu1^5 - 25302767332432*lu1^6 - 69403422251020*lu1^ 7 - 8067402504000*lu1^8)*(g42[t] - I*g42n[t]))))/ (28028*(-1 + 7*lu1 + 170*lu1^2)^3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f42[t] - I*f42n[t])*((-55434417 + 493487053*lu1 + 51638169482*lu1^2 - 8356682930*lu1^3 - 4960141694205*lu1^4 - 15164834009039*lu1^5 - 1735705640764*lu1^6 + 18611607863044* lu1^7 + 8895086177040*lu1^8)*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((9798195 + 98887462*lu1 - 14947455076*lu1^2 - 108338654360*lu1^ 3 + 1120074832015*lu1^4 + 16923184217130*lu1^5 + 11352992813634*lu1^6 - 42927954783632*lu1^7 - 46844710954440* lu1^8)*(f42[t] - I*f42n[t]) + (-4106376 + 18518175*lu1 + 3800080302*lu1^2 + 2397703110*lu1^3 - 357478003360*lu1^4 + 42125084623*lu1^5 + 5879734764090*lu1^6 + 9554352031124*lu1^7 + 1483356655480*lu1^8)*(g42[t] - I*g42n[t]))))/ (28028*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (75*Sqrt[3]*lu1*mar*(f42[t] - I*f42n[t])* ((25823349 - 98699133*lu1 - 25462947194*lu1^2 - 145962303550*lu1^3 + 2542503149585*lu1^4 + 12647191869103*lu1^5 + 13057207699604* lu1^6 - 13368102900388*lu1^7 - 18429593399280*lu1^8)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((693225 - 171526290*lu1 + 2769701292*lu1^2 + 200078741360*lu1^3 - 923050990595*lu1^4 - 9958477077990*lu1^5 - 16898607518770*lu1^ 6 + 28070798141344*lu1^7 + 55745047593480*lu1^8)* (f42[t] - I*f42n[t]) - (-3365010 + 12458601*lu1 + 2921701254*lu1^2 + 9917333250*lu1^3 - 300013868890*lu1^4 - 263779344335*lu1^5 + 4465076584182*lu1^6 + 11958359421548*lu1^ 7 + 8879221581160*lu1^8)*(g42[t] - I*g42n[t]))))/ (28028*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f42[t] - I*f42n[t])*(8*(-33660 + 2857233*lu1 + 10652426*lu1^2 - 192883154*lu1^3 - 9226328448*lu1^4 - 78899268867*lu1^5 + 547169923666*lu1^6 + 4391155298220*lu1^7 + 4556164828600*lu1^8)* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(9278919 - 89840156*lu1 - 8600648302*lu1^2 - 24992398500*lu1^ 3 + 1959539079103*lu1^4 - 2120268600024*lu1^5 - 66170027851536*lu1^6 + 6736247078400*lu1^7 + 246596189837200* lu1^8)*(f42[t] - I*f42n[t]) - (-13099851 + 61677239*lu1 + 13477990354*lu1^2 + 44530368634*lu1^3 - 1629185871287*lu1^4 - 8281323588605*lu1^5 + 47805608530528*lu1^6 + 113158054746140* lu1^7 + 14052651312000*lu1^8)*(g42[t] - I*g42n[t]))))/ (28028*(-1 + 7*lu1 + 170*lu1^2)^3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (4*Sqrt[5]*mar*(6*(1461 - 5141*lu1 - 283035*lu1^2 - 876711*lu1^3 - 120566*lu1^4 + 940440*lu1^5)*f40[t]*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])*((15579 - 445797*lu1 + 2967881*lu1^2 + 13925989*lu1^3 - 16188440*lu1^4 - 49866508*lu1^5)*f40[t] + 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*g40[t]) + 4*(23 + 1751*lu1)* (-3 + 13*lu1 + 38*lu1^2)^2*f40[t]*(g42[t] - I*g42n[t]))))/ (539*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (45*Sqrt[5]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])* ((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*g40[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*f40[t]* (g42[t] - I*g42n[t]))))/(14014*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (135*Sqrt[5]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* f40[t]*(f42[t] - I*f42n[t])*g20[t] + f20[t]*(2*(f42[t] - I*f42n[t])*(3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)* g40[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*f40[t]* (g42[t] - I*g42n[t]))))/(14014*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*Sqrt[5]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])* ((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*f40[t] + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)*g40[t]) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)*f40[t]* (g42[t] - I*g42n[t]))))/(1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (27*Sqrt[5]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* f40[t]*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*g40[t]) - 20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*f40[t]*(g42[t] - I*g42n[t]))))/ (7007*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (15*Sqrt[5]*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*g20[t] + f20[t]*(-5*(f42[t] - I*f42n[t])* ((-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*f40[t] + (-51 - 1936*lu1 + 9993*lu1^2 + 27322*lu1^3)*g40[t]) + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*f40[t]* (g42[t] - I*g42n[t]))))/(1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*Sqrt[5]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])* ((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*f40[t] - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)*g40[t]) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)*f40[t]* (g42[t] - I*g42n[t]))))/(1078*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (4*Sqrt[5]*mar*(-12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])* (5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*f40[t] - 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*g40[t]) + 5*(-51 - 1936*lu1 + 9993*lu1^2 + 27322*lu1^3)*f40[t]* (g42[t] - I*g42n[t]))))/(539*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*Sqrt[5]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])* ((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*f40[t] + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*g40[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*f40[t]* (g42[t] - I*g42n[t]))))/(143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (9*Sqrt[5]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])* ((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*g40[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*f40[t]* (g42[t] - I*g42n[t]))))/(7007*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar*(10*(-89412 + 21320440*lu1 + 930066353*lu1^2 - 19726222640*lu1^3 - 372156657450*lu1^4 - 585155647844*lu1^5 + 641757586625*lu1^6 + 974617518196*lu1^7 + 985489761060*lu1^8)*f40[t]*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])*((-47646597 + 843422486*lu1 + 8016106978*lu1^2 - 20596831960*lu1^3 + 2650103114195*lu1^4 + 9489210093906*lu1^5 + 21167774662152*lu1^6 + 63742169683496* lu1^7 + 14191185780240*lu1^8)*f40[t] - 4*(412479 + 10715787*lu1 - 514909320*lu1^2 + 1607725330*lu1^3 + 61919002895*lu1^4 - 184122537217*lu1^5 - 1190392213086* lu1^6 + 469994776980*lu1^7 + 3323541495400*lu1^8)*g40[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(205653 + 43957*lu1 - 179578351*lu1^2 - 1549283621*lu1^3 + 1219289610*lu1^4)*f40[t]* (g42[t] - I*g42n[t]))))/(14014*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (45*Sqrt[5]*lu1*mar*(2*(2875464 + 122954892*lu1 - 1994522415*lu1^2 - 61695722200*lu1^3 - 356624756670*lu1^4 - 3076887657792*lu1^5 - 7864923627511*lu1^6 + 6162919525860*lu1^7 + 21495632837700*lu1^8)* f40[t]*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])*((-33460821 - 162977658*lu1 + 26901980306*lu1^2 + 26700928840*lu1^3 + 180723254115*lu1^4 - 1917029509822*lu1^5 + 53376562993624*lu1^6 + 124125744645672* lu1^7 + 34228044985680*lu1^8)*f40[t] - 20*(144666 - 1200645*lu1 - 62832414*lu1^2 + 568830470*lu1^3 + 7054284130*lu1^4 - 45283836653*lu1^5 - 90833082990*lu1^6 + 271467365892*lu1^7 + 453160956920*lu1^8)*g40[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(266064 + 182627*lu1 - 238417808*lu1^2 - 2054123497*lu1^3 + 5329116870*lu1^4)*f40[t]* (g42[t] - I*g42n[t]))))/(14014*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (15*Sqrt[5]*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*f40[t]*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])*((-15579 + 445797*lu1 - 2967881* lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)* f40[t] - 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*g40[ t]) - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*f40[t]*(g42[t] - I*g42n[t]))))/ (1078*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) - (3*Sqrt[5]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f42[t] - I*f42n[t])*g20[t] + 2*f20[t]*((f42[t] - I*f42n[t])* (8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*g40[t]) - 12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*f40[t]* (g42[t] - I*g42n[t]))))/(7007*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (3*Sqrt[5]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f42[t] - I*f42n[t])*g20[t] + 2*f20[t]*(4*(f42[t] - I*f42n[t])* (2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*g40[ t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*f40[t]*(g42[t] - I*g42n[t]))))/ (7007*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[5]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*f40[t]*(f42[t] - I*f42n[t])* g20[t] + f20[t]*(4*(f42[t] - I*f42n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*f40[t] + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*g40[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*f40[t]*(g42[t] - I*g42n[t]))))/(286*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*(105*(-1 + 7*lu1 + 170*lu1^2)^2* (690 + 3037*lu1 + 5729*lu1^2)*f40[t]*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])*((426339 + 43652020*lu1 - 762891606*lu1^2 + 81557432*lu1^3 + 26311718575*lu1^4 - 58384636548*lu1^5 + 86509175900*lu1^6)*f40[t] + 2*(295776 + 3247900*lu1 + 45108399*lu1^2 - 992456791*lu1^3 - 9488071517*lu1^4 - 4835010441*lu1^5 + 7668334610*lu1^6)*g40[ t]) + 2*(5667 - 129110*lu1 - 1032588*lu1^2 + 16056386*lu1^3 + 173596285*lu1^4 + 491626956*lu1^5 - 4639092940*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(14014*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar* (2*(-9295248 + 26130627*lu1 + 1591584911*lu1^2 + 4516027293*lu1^3 + 949049*lu1^4 - 4365219444*lu1^5 - 901049380*lu1^6)*f40[t]* (f42[t] - I*f42n[t])*g20[t] + f20[t]*(3*(f42[t] - I*f42n[t])* ((1284368 + 44222703*lu1 - 545333881*lu1^2 - 7488117683*lu1^3 - 2979143559*lu1^4 + 18717181184*lu1^5 + 16547264180*lu1^6)*f40[ t] - 35*(-3 + 13*lu1 + 38*lu1^2)^2*(1060 + 22151*lu1 + 63157*lu1^2)*g40[t]) + 10*(-60201 + 451380*lu1 + 11251498*lu1^2 - 26036976*lu1^3 - 296496293*lu1^4 - 135087516*lu1^5 + 545787388*lu1^6)*f40[t]*(g42[t] - I*g42n[t]))))/(14014*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (45*Sqrt[5]*lu1*mar* (2*(3997869 + 2658718*lu1 - 715636536*lu1^2 - 3338496058*lu1^3 - 3316460129*lu1^4 + 3106331436*lu1^5 + 2753184860*lu1^6)*f40[t]* (f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])* ((523176 - 110285315*lu1 + 735593365*lu1^2 + 11834151655*lu1^3 + 20769419155*lu1^4 - 35365495568*lu1^5 - 58906561700*lu1^6)* f40[t] + 7*(-3 + 13*lu1 + 38*lu1^2)^2*(8440 + 336947*lu1 + 1655125*lu1^2)*g40[t]) - 2*(-265122 + 3003783*lu1 + 36976859*lu1^2 - 230280243*lu1^3 - 536088529*lu1^4 + 862687224*lu1^5 + 1548945740*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(14014*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (45*Sqrt[5]*lu1*mar*(7*(-1 + 7*lu1 + 170*lu1^2)^2*(-6067 + 56082*lu1 + 181857*lu1^2)*f40[t]*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])*((-80801 + 35068400*lu1 - 271417930*lu1^2 - 2775070036*lu1^3 + 10851139751*lu1^4 + 48811922924*lu1^5 + 147152487100*lu1^6)*f40[t] - 2*(-27222 + 516569*lu1 + 6690573*lu1^2 - 104040773*lu1^3 - 677518255*lu1^4 + 3558752448*lu1^5 + 11271746980*lu1^6)*g40[ t]) + 2*(107136 + 4164638*lu1 + 61579617*lu1^2 - 635739089*lu1^3 - 8730661519*lu1^4 - 10176379017*lu1^5 + 3007592170*lu1^6)*f40[t]*(g42[t] - I*g42n[t]))))/ (14014*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^3*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*(105*(-1 + 7*lu1 + 170*lu1^2)^2* (690 + 3037*lu1 + 5729*lu1^2)*f40[t]*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])*((426339 + 43652020*lu1 - 762891606*lu1^2 + 81557432*lu1^3 + 26311718575*lu1^4 - 58384636548*lu1^5 + 86509175900*lu1^6)*f40[t] + 2*(5667 - 129110*lu1 - 1032588*lu1^2 + 16056386*lu1^3 + 173596285*lu1^4 + 491626956*lu1^5 - 4639092940*lu1^6)*g40[ t]) + 2*(295776 + 3247900*lu1 + 45108399*lu1^2 - 992456791*lu1^3 - 9488071517*lu1^4 - 4835010441*lu1^5 + 7668334610*lu1^6)*f40[t]*(g42[t] - I*g42n[t]))))/ (14014*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (45*Sqrt[5]*lu1*mar*(7*(-1 + 7*lu1 + 170*lu1^2)^2*(-6067 + 56082*lu1 + 181857*lu1^2)*f40[t]*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])*((-80801 + 35068400*lu1 - 271417930*lu1^2 - 2775070036*lu1^3 + 10851139751*lu1^4 + 48811922924*lu1^5 + 147152487100*lu1^6)*f40[t] + 2*(107136 + 4164638*lu1 + 61579617*lu1^2 - 635739089*lu1^3 - 8730661519*lu1^4 - 10176379017*lu1^5 + 3007592170*lu1^6)*g40[ t]) - 2*(-27222 + 516569*lu1 + 6690573*lu1^2 - 104040773*lu1^3 - 677518255*lu1^4 + 3558752448*lu1^5 + 11271746980*lu1^6)*f40[t]*(g42[t] - I*g42n[t]))))/ (14014*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar*(60*(1377 + 2206*lu1 - 538816*lu1^2 - 1666978*lu1^3 + 45834067*lu1^4 + 207231716*lu1^5 + 53692460*lu1^6)*f40[t]*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])*((-5176770 + 27979645*lu1 + 1190123817*lu1^2 - 3752792041*lu1^3 - 50079754223*lu1^4 + 1150393104*lu1^5 + 183278043620*lu1^6)*f40[t] - 105*(4230 + 22209*lu1 - 1283563*lu1^2 - 8960933*lu1^3 + 43266957*lu1^4 + 279665048*lu1^5 + 335551780*lu1^6)*g40[t]) + (-2436759 - 6215072*lu1 + 502348854*lu1^2 + 2288357240*lu1^3 - 13846271507*lu1^4 - 7411579248*lu1^5 + 35245058060*lu1^6)* f40[t]*(g42[t] - I*g42n[t]))))/(14014*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) - (45*Sqrt[5]*lu1*mar*(4*(18498 - 138115*lu1 - 4448559*lu1^2 + 2871895*lu1^3 + 272562293*lu1^4 + 1499370960*lu1^5 + 2785465300*lu1^6)*f40[t]*(f42[t] - I*f42n[t])*g20[t] + f20[t]*(3*(f42[t] - I*f42n[t])*((-1010730 + 9834033*lu1 + 123172861*lu1^2 - 474663981*lu1^3 - 6654785115*lu1^4 - 3438639536*lu1^5 + 11462271540*lu1^6)*f40[t] - 7*(-29136 - 239597*lu1 + 12480459*lu1^2 + 44798153*lu1^3 - 774357995*lu1^4 + 80583120*lu1^5 + 3411493700*lu1^6)*g40[ t]) + (-1918527 - 14081176*lu1 + 562784766*lu1^2 + 2651656096*lu1^3 - 23741510515*lu1^4 - 17131922304*lu1^5 + 77313622060*lu1^6)*f40[t]*(g42[t] - I*g42n[t]))))/ (14014*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (45*Sqrt[5]*lu1*mar*(2*(1250946 - 10321413*lu1 - 690833198*lu1^2 + 3332174614*lu1^3 + 105851585146*lu1^4 - 98502160573*lu1^5 - 3431976817310*lu1^6 + 3919709349700*lu1^7 + 21118692595000*lu1^8)* f40[t]*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])*((-4739847 + 151295258*lu1 - 4445691638*lu1^2 - 2046934776*lu1^3 + 2489552643881*lu1^4 - 6410792248194*lu1^5 - 120988161831348*lu1^6 + 207149881002600* lu1^7 + 797011887996800*lu1^8)*f40[t] - (7384539 + 72266723*lu1 - 7861383182*lu1^2 - 58139648774*lu1^3 + 1572777760039*lu1^4 + 3867728495143*lu1^5 - 85142043276260* lu1^6 + 23802784809500*lu1^7 + 386949722754000*lu1^8)*g40[ t]) + 21*(378792 - 2479797*lu1 - 429553666*lu1^2 - 132934146*lu1^3 + 108034687648*lu1^4 + 287722733531*lu1^5 - 4969116762534*lu1^6 - 4674762203900*lu1^7 + 11122992665400*lu1^ 8)*f40[t]*(g42[t] - I*g42n[t]))))/ (14014*(-1 + 7*lu1 + 170*lu1^2)^3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar* (2*(655317 + 24390489*lu1 - 1069998576*lu1^2 - 4200461042*lu1^3 + 220370819357*lu1^4 + 286135990669*lu1^5 - 10061473145450*lu1^6 + 14481954914300*lu1^7 + 61720322587000*lu1^8)*f40[t]* (f42[t] - I*f42n[t])*g20[t] + f20[t]*((f42[t] - I*f42n[t])* ((3261753 - 330120994*lu1 + 3988725970*lu1^2 - 36162420432* lu1^3 + 1610353983113*lu1^4 + 17830116656322*lu1^5 - 227542020909084*lu1^6 + 4563893304600*lu1^7 + 1068758670442400*lu1^8)*f40[t] + (-4180293 - 7685651*lu1 + 849781034*lu1^2 + 38490604478*lu1^3 + 522312573407*lu1^4 + 1023980415329*lu1^5 - 282851459620*lu1^6 - 89272573252700* lu1^7 - 194970460818000*lu1^8)*g40[t]) + 7*(962325 - 15332697*lu1 - 892340252*lu1^2 + 6809485914*lu1^3 + 167356851197*lu1^4 - 173872874309*lu1^5 - 5663739027966*lu1^6 - 2975352754300*lu1^7 + 12908362374600*lu1^8)*f40[t]* (g42[t] - I*g42n[t]))))/(14014*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (10*mar*(6*(1461 - 5141*lu1 - 283035*lu1^2 - 876711*lu1^3 - 120566*lu1^4 + 940440*lu1^5)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((15579 - 445797*lu1 + 2967881*lu1^2 + 13925989*lu1^3 - 16188440*lu1^4 - 49866508*lu1^5)*(f42[t] + I*f42n[t]) + 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(g42[t] + I*g42n[t])) + 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(539*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (135*Sqrt[3]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] + I*f42n[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(g42[t] + I*g42n[t])) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (28028*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (135*Sqrt[3]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f42[t] - I*f42n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] + I*f42n[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(g42[t] + I*g42n[t])) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (405*Sqrt[3]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f42[t] - I*f42n[t])* (3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] + I*f42n[t]) + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*(g42[t] + I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (405*Sqrt[3]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f42[t] - I*f42n[t])* (3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] + I*f42n[t]) + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*(g42[t] + I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*Sqrt[3]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f42[t] + I*f42n[t]) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)*(g42[t] + I*g42n[t])) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (539*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*Sqrt[3]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f42[t] - I*f42n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f42[t] + I*f42n[t]) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)*(g42[t] + I*g42n[t])) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (539*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (405*Sqrt[3]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] + I*f42n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(g42[t] + I*g42n[t])) - 20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (405*Sqrt[3]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f42[t] - I*f42n[t])*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] + I*f42n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(g42[t] + I*g42n[t])) - 20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*mar*(-12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(5*(f42[t] - I*f42n[t])* ((-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f42[t] + I*f42n[t]) + (-51 - 1936*lu1 + 9993*lu1^2 + 27322*lu1^3)*( g42[t] + I*g42n[t])) - 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (539*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*Sqrt[3]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f42[t] + I*f42n[t]) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)*(g42[t] + I*g42n[t])) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (539*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*Sqrt[3]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f42[t] - I*f42n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f42[t] + I*f42n[t]) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)*(g42[t] + I*g42n[t])) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (539*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*mar*(-12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])*(5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f42[t] + I*f42n[t]) - 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(g42[t] + I*g42n[t])) + 5*(-51 - 1936*lu1 + 9993*lu1^2 + 27322*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (539*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (70*Sqrt[3]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] + I*f42n[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*(g42[t] + I*g42n[t])) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (5*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f42[t] - I*f42n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] + I*f42n[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*(g42[t] + I*g42n[t])) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (143*Sqrt[3]*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)* Pi) + (5*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] + I*f42n[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*(g42[t] + I*g42n[t])) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (143*Sqrt[3]*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)* Pi) - (70*Sqrt[3]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f42[t] - I*f42n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] + I*f42n[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*(g42[t] + I*g42n[t])) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (135*Sqrt[3]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] + I*f42n[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*(g42[t] + I*g42n[t])) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (135*Sqrt[3]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f42[t] - I*f42n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] + I*f42n[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*(g42[t] + I*g42n[t])) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (28028*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*((55434417 - 493487053*lu1 - 51638169482*lu1^2 + 8356682930*lu1^3 + 4960141694205*lu1^4 + 15164834009039*lu1^5 + 1735705640764*lu1^6 - 18611607863044* lu1^7 - 8895086177040*lu1^8)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-9798195 - 98887462*lu1 + 14947455076* lu1^2 + 108338654360*lu1^3 - 1120074832015*lu1^4 - 16923184217130*lu1^5 - 11352992813634*lu1^6 + 42927954783632* lu1^7 + 46844710954440*lu1^8)*(f42[t] + I*f42n[t]) + 2*(498285 + 560187*lu1 - 514317204*lu1^2 + 1726456250*lu1^3 + 67958120525*lu1^4 - 198037825065*lu1^5 - 1280501575086* lu1^6 + 465045334132*lu1^7 + 3468571483720*lu1^8)*(g42[t] + I*g42n[t])) - 7*(-3 + 13*lu1 + 38*lu1^2)^2* (-49362 - 116081*lu1 + 42661574*lu1^2 + 467258431*lu1^3 + 833052990*lu1^4)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (28028*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (75*Sqrt[3]*lu1*mar*((25823349 - 98699133*lu1 - 25462947194*lu1^2 - 145962303550*lu1^3 + 2542503149585*lu1^4 + 12647191869103*lu1^5 + 13057207699604*lu1^6 - 13368102900388*lu1^7 - 18429593399280* lu1^8)*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((693225 - 171526290*lu1 + 2769701292* lu1^2 + 200078741360*lu1^3 - 923050990595*lu1^4 - 9958477077990*lu1^5 - 16898607518770*lu1^6 + 28070798141344* lu1^7 + 55745047593480*lu1^8)*(f42[t] + I*f42n[t]) + 2*(612954 - 8272989*lu1 - 374578398*lu1^2 + 3665598710*lu1^3 + 33108789410*lu1^4 - 219419036517*lu1^5 - 450763794798*lu1^6 + 1141325534884*lu1^7 + 1940669643640*lu1^8)*(g42[t] + I*g42n[t])) - 7*(-3 + 13*lu1 + 38*lu1^2)^2* (-33954 - 359147*lu1 + 31149638*lu1^2 + 545122717*lu1^3 + 1262421930*lu1^4)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (28028*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] + I*f42n[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(g42[t] + I*g42n[t])) - 210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(143*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (5*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f42[t] - I*f42n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] + I*f42n[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(g42[t] + I*g42n[t])) - 210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(143*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (10*mar*(6*(1461 - 5141*lu1 - 283035*lu1^2 - 876711*lu1^3 - 120566*lu1^4 + 940440*lu1^5)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f42[t] - I*f42n[t])*((15579 - 445797*lu1 + 2967881*lu1^2 + 13925989*lu1^3 - 16188440*lu1^4 - 49866508*lu1^5)*(f42[t] + I*f42n[t]) + 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g42[t] + I*g42n[t])) + 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(539*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (35*Sqrt[3]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] + I*f42n[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251* lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(g42[t] + I*g42n[t])) + 168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (5*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f42[t] - I*f42n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] + I*f42n[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251* lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(g42[t] + I*g42n[t])) + 168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(286*Sqrt[3]*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (45*Sqrt[3]*mar* (27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] + I*f42n[t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(g42[t] + I*g42n[t])) - 12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(28028*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*Sqrt[3]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((f42[t] - I*f42n[t])* (8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] + I*f42n[t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(g42[t] + I*g42n[t])) - 12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (28028*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (6*(f42[t] - I*f42n[t])*((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] + I*f42n[t]) - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(g42[t] + I*g42n[t])) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(143*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (5*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (6*(f42[t] - I*f42n[t])*((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] + I*f42n[t]) - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(g42[t] + I*g42n[t])) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(143*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (45*Sqrt[3]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(4*(f42[t] - I*f42n[t])* (2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] + I*f42n[t]) - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(g42[t] + I*g42n[t])) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(28028*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*Sqrt[3]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*(4*(f42[t] - I*f42n[t])* (2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] + I*f42n[t]) - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(g42[t] + I*g42n[t])) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(28028*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (4*(f42[t] - I*f42n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] + I*f42n[t]) + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(g42[t] + I*g42n[t])) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(286*Sqrt[3]*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (35*Sqrt[3]*mar* (84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (4*(f42[t] - I*f42n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] + I*f42n[t]) + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(g42[t] + I*g42n[t])) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (75*Sqrt[3]*lu1*mar*(88*(-6942 - 14497*lu1 + 2260055*lu1^2 + 15573393*lu1^3 - 247772953*lu1^4 - 1065315460*lu1^5 + 12589283700*lu1^6)*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (6*(f42[t] - I*f42n[t])*(4*(-158642 + 1723629*lu1 + 201159467* lu1^2 - 647304327*lu1^3 - 14039121093*lu1^4 - 56649815170* lu1^5 + 749012234600*lu1^6)*(f42[t] + I*f42n[t]) + 11*(-31206 + 81695*lu1 + 34990715*lu1^2 + 155254245*lu1^3 - 7571271709*lu1^4 - 54138299800*lu1^5 + 60466767900*lu1^6)*( g42[t] + I*g42n[t])) + (-33561 + 4898084*lu1 + 183002756*lu1^2 + 15915071070*lu1^3 + 270112320029*lu1^4 + 1209653391230*lu1^5 - 7024762302600*lu1^6)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 + 29*lu1 + 2310*lu1^2)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* ((-7961103 - 502398*lu1 + 9296919806*lu1^2 + 69163224248*lu1^3 + 11398979089*lu1^4 - 174396934514*lu1^5 - 390837418440*lu1^6)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((f42[t] - I*f42n[t])* (3*(-535719 + 23544421*lu1 - 1139134403*lu1^2 - 3483567187* lu1^3 - 29433090190*lu1^4 - 237505655790*lu1^5 + 35362513620*lu1^6)*(f42[t] + I*f42n[t]) + 2*(-167571 - 6013026*lu1 + 187180552*lu1^2 + 902566126*lu1^3 - 16227821617*lu1^4 + 14832674132*lu1^5 + 98620582620*lu1^6)*( g42[t] + I*g42n[t])) + 33*(-69408 + 371493*lu1 + 60058469*lu1^2 + 201185927*lu1^3 - 2930599109*lu1^4 - 5025682328*lu1^5 + 2335913580*lu1^6)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^2* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (75*Sqrt[3]*lu1*mar*((-3293115 + 2012542*lu1 + 3814189306*lu1^2 + 73008926148*lu1^3 + 222745351969*lu1^4 + 49273584502*lu1^5 - 1026063449880*lu1^6)*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((f42[t] - I*f42n[t])*((-3250905 - 5671937*lu1 + 1844877623* lu1^2 - 43112946129*lu1^3 - 39902119046*lu1^4 - 1027197501250*lu1^5 + 1664674620*lu1^6)*(f42[t] + I*f42n[t]) + 2*(-307350 + 964161*lu1 + 135142069*lu1^2 - 206484125*lu1^3 - 7939899991*lu1^4 + 16262023664*lu1^5 + 60520024740*lu1^6)*(g42[t] + I*g42n[t])) + 11*(-219366 + 609255*lu1 + 201240923*lu1^2 + 1005060293*lu1^3 - 13820993069*lu1^4 - 9229612928*lu1^5 + 41678909580*lu1^6)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (75*Sqrt[3]*lu1*mar*(88*(-6942 - 14497*lu1 + 2260055*lu1^2 + 15573393*lu1^3 - 247772953*lu1^4 - 1065315460*lu1^5 + 12589283700*lu1^6)*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f42[t] - I*f42n[t])*(24*(-158642 + 1723629*lu1 + 201159467* lu1^2 - 647304327*lu1^3 - 14039121093*lu1^4 - 56649815170* lu1^5 + 749012234600*lu1^6)*(f42[t] + I*f42n[t]) + (-33561 + 4898084*lu1 + 183002756*lu1^2 + 15915071070*lu1^3 + 270112320029*lu1^4 + 1209653391230*lu1^5 - 7024762302600* lu1^6)*(g42[t] + I*g42n[t])) + 66*(-31206 + 81695*lu1 + 34990715*lu1^2 + 155254245*lu1^3 - 7571271709*lu1^4 - 54138299800*lu1^5 + 60466767900*lu1^6)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 + 29*lu1 + 2310*lu1^2)*Pi) - (75*Sqrt[3]*lu1*mar*((-3293115 + 2012542*lu1 + 3814189306*lu1^2 + 73008926148*lu1^3 + 222745351969*lu1^4 + 49273584502*lu1^5 - 1026063449880*lu1^6)*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-3250905 - 5671937*lu1 + 1844877623* lu1^2 - 43112946129*lu1^3 - 39902119046*lu1^4 - 1027197501250*lu1^5 + 1664674620*lu1^6)*(f42[t] + I*f42n[t]) + 11*(-219366 + 609255*lu1 + 201240923*lu1^2 + 1005060293*lu1^3 - 13820993069*lu1^4 - 9229612928*lu1^5 + 41678909580*lu1^6)*(g42[t] + I*g42n[t])) + 2*(-307350 + 964161*lu1 + 135142069*lu1^2 - 206484125*lu1^3 - 7939899991*lu1^4 + 16262023664*lu1^5 + 60520024740*lu1^6)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (88*(-2307 - 242989*lu1 + 4305269*lu1^2 + 41510961*lu1^3 - 651783934*lu1^4 - 596589880*lu1^5 + 35678865600*lu1^6)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f42[t] - I*f42n[t])* ((-4425750 + 48652478*lu1 + 2798622914*lu1^2 + 87873250818* lu1^3 - 880267698436*lu1^4 - 7733444885560*lu1^5 + 23733731624400*lu1^6)*(f42[t] + I*f42n[t]) - (1824225 + 11698696*lu1 - 2600626112*lu1^2 - 29846699634* lu1^3 + 17283001063*lu1^4 + 1698544242970*lu1^5 + 3745272304200*lu1^6)*(g42[t] + I*g42n[t])) + 22*(-101454 + 1194421*lu1 + 97328545*lu1^2 - 289667769*lu1^3 - 17253923771*lu1^4 - 61105371800*lu1^5 + 72281540100*lu1^6)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 + 29*lu1 + 2310*lu1^2)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*((-7961103 - 502398*lu1 + 9296919806*lu1^2 + 69163224248*lu1^3 + 11398979089*lu1^4 - 174396934514*lu1^5 - 390837418440*lu1^6)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (3*(f42[t] - I*f42n[t])*((-535719 + 23544421*lu1 - 1139134403* lu1^2 - 3483567187*lu1^3 - 29433090190*lu1^4 - 237505655790* lu1^5 + 35362513620*lu1^6)*(f42[t] + I*f42n[t]) + 11*(-69408 + 371493*lu1 + 60058469*lu1^2 + 201185927*lu1^3 - 2930599109*lu1^4 - 5025682328*lu1^5 + 2335913580*lu1^6)*( g42[t] + I*g42n[t])) + 2*(-167571 - 6013026*lu1 + 187180552*lu1^2 + 902566126*lu1^3 - 16227821617*lu1^4 + 14832674132*lu1^5 + 98620582620*lu1^6)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^2* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(88*(-2307 - 242989*lu1 + 4305269*lu1^2 + 41510961*lu1^3 - 651783934*lu1^4 - 596589880*lu1^5 + 35678865600*lu1^6)*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(f42[t] - I*f42n[t])*((-2212875 + 24326239*lu1 + 1399311457* lu1^2 + 43936625409*lu1^3 - 440133849218*lu1^4 - 3866722442780*lu1^5 + 11866865812200*lu1^6)*(f42[t] + I*f42n[t]) + 11*(-101454 + 1194421*lu1 + 97328545*lu1^2 - 289667769*lu1^3 - 17253923771*lu1^4 - 61105371800*lu1^5 + 72281540100*lu1^6)*(g42[t] + I*g42n[t])) - (1824225 + 11698696*lu1 - 2600626112*lu1^2 - 29846699634*lu1^3 + 17283001063*lu1^4 + 1698544242970*lu1^5 + 3745272304200*lu1^6)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 + 29*lu1 + 2310*lu1^2)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(42*(-1 + 7*lu1 + 170*lu1^2)^2* (13143 + 321532*lu1 + 373207*lu1^2 + 616630*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])* (2*(3964050 + 125522035*lu1 + 2361834113*lu1^2 - 53257382629* lu1^3 + 119292680573*lu1^4 + 427217531006*lu1^5 - 676966580500*lu1^6 + 1374145876600*lu1^7)*(f42[t] + I*f42n[t]) + (5702265 + 226164010*lu1 + 1221987214*lu1^2 + 2951405468*lu1^3 - 203932481451*lu1^4 - 911654788742*lu1^5 + 321190498700*lu1^6 + 1813913725400*lu1^7)*(g42[t] + I*g42n[t])) - 32*(2115 - 112200*lu1 + 2448032*lu1^2 + 13294224*lu1^3 - 521233163*lu1^4 - 1681400836*lu1^5 + 15140451300*lu1^6 + 43522393600*lu1^7)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(28028*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(42*(-1 + 7*lu1 + 170*lu1^2)^2* (13143 + 321532*lu1 + 373207*lu1^2 + 616630*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f42[t] - I*f42n[t])* (2*(3964050 + 125522035*lu1 + 2361834113*lu1^2 - 53257382629* lu1^3 + 119292680573*lu1^4 + 427217531006*lu1^5 - 676966580500*lu1^6 + 1374145876600*lu1^7)*(f42[t] + I*f42n[t]) + (5702265 + 226164010*lu1 + 1221987214*lu1^2 + 2951405468*lu1^3 - 203932481451*lu1^4 - 911654788742*lu1^5 + 321190498700*lu1^6 + 1813913725400*lu1^7)*(g42[t] + I*g42n[t])) - 32*(2115 - 112200*lu1 + 2448032*lu1^2 + 13294224*lu1^3 - 521233163*lu1^4 - 1681400836*lu1^5 + 15140451300*lu1^6 + 43522393600*lu1^7)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(28028*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (75*Sqrt[3]*lu1*mar*(28*(-1 + 7*lu1 + 170*lu1^2)^2* (5172 + 164573*lu1 + 1114593*lu1^2 + 2109870*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])* (2*(5397546 + 54519347*lu1 + 1796167737*lu1^2 - 18099314981* lu1^3 - 87019891939*lu1^4 + 328619104782*lu1^5 + 1280229504940*lu1^6 + 2552256348600*lu1^7)*(f42[t] + I*f42n[t]) + (3061239 + 206688900*lu1 + 2147741756*lu1^2 + 3652448106*lu1^3 - 158601911903*lu1^4 - 1004551373014*lu1^5 - 533953132260*lu1^6 + 1295446814200*lu1^7)*(g42[t] + I*g42n[t])) - 16*(6912 - 253017*lu1 + 3347473*lu1^2 + 47578239*lu1^3 - 951406249*lu1^4 - 5101747514*lu1^5 + 35297512500*lu1^6 + 92845537400*lu1^7)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(28028*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (75*Sqrt[3]*lu1*mar*(28*(-1 + 7*lu1 + 170*lu1^2)^2* (5172 + 164573*lu1 + 1114593*lu1^2 + 2109870*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f42[t] - I*f42n[t])* (2*(5397546 + 54519347*lu1 + 1796167737*lu1^2 - 18099314981* lu1^3 - 87019891939*lu1^4 + 328619104782*lu1^5 + 1280229504940*lu1^6 + 2552256348600*lu1^7)*(f42[t] + I*f42n[t]) + (3061239 + 206688900*lu1 + 2147741756*lu1^2 + 3652448106*lu1^3 - 158601911903*lu1^4 - 1004551373014*lu1^5 - 533953132260*lu1^6 + 1295446814200*lu1^7)*(g42[t] + I*g42n[t])) - 16*(6912 - 253017*lu1 + 3347473*lu1^2 + 47578239*lu1^3 - 951406249*lu1^4 - 5101747514*lu1^5 + 35297512500*lu1^6 + 92845537400*lu1^7)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(28028*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (75*Sqrt[3]*lu1*mar*(28*(-1 + 7*lu1 + 170*lu1^2)^2* (5172 + 164573*lu1 + 1114593*lu1^2 + 2109870*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f42[t] - I*f42n[t])* ((5397546 + 54519347*lu1 + 1796167737*lu1^2 - 18099314981* lu1^3 - 87019891939*lu1^4 + 328619104782*lu1^5 + 1280229504940*lu1^6 + 2552256348600*lu1^7)*(f42[t] + I*f42n[t]) - 8*(6912 - 253017*lu1 + 3347473*lu1^2 + 47578239*lu1^3 - 951406249*lu1^4 - 5101747514*lu1^5 + 35297512500*lu1^6 + 92845537400*lu1^7)*(g42[t] + I*g42n[t])) + (3061239 + 206688900*lu1 + 2147741756*lu1^2 + 3652448106*lu1^3 - 158601911903*lu1^4 - 1004551373014*lu1^5 - 533953132260*lu1^6 + 1295446814200*lu1^7)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(28028*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (75*Sqrt[3]*lu1*mar*(28*(-1 + 7*lu1 + 170*lu1^2)^2* (5172 + 164573*lu1 + 1114593*lu1^2 + 2109870*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f42[t] - I*f42n[t])* ((5397546 + 54519347*lu1 + 1796167737*lu1^2 - 18099314981* lu1^3 - 87019891939*lu1^4 + 328619104782*lu1^5 + 1280229504940*lu1^6 + 2552256348600*lu1^7)*(f42[t] + I*f42n[t]) - 8*(6912 - 253017*lu1 + 3347473*lu1^2 + 47578239*lu1^3 - 951406249*lu1^4 - 5101747514*lu1^5 + 35297512500*lu1^6 + 92845537400*lu1^7)*(g42[t] + I*g42n[t])) + (3061239 + 206688900*lu1 + 2147741756*lu1^2 + 3652448106*lu1^3 - 158601911903*lu1^4 - 1004551373014*lu1^5 - 533953132260*lu1^6 + 1295446814200*lu1^7)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(28028*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(42*(-1 + 7*lu1 + 170*lu1^2)^2* (13143 + 321532*lu1 + 373207*lu1^2 + 616630*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f42[t] - I*f42n[t])* ((3964050 + 125522035*lu1 + 2361834113*lu1^2 - 53257382629* lu1^3 + 119292680573*lu1^4 + 427217531006*lu1^5 - 676966580500*lu1^6 + 1374145876600*lu1^7)*(f42[t] + I*f42n[t]) - 16*(2115 - 112200*lu1 + 2448032*lu1^2 + 13294224*lu1^3 - 521233163*lu1^4 - 1681400836*lu1^5 + 15140451300*lu1^6 + 43522393600*lu1^7)*(g42[t] + I*g42n[t])) + (5702265 + 226164010*lu1 + 1221987214*lu1^2 + 2951405468*lu1^3 - 203932481451*lu1^4 - 911654788742*lu1^5 + 321190498700*lu1^6 + 1813913725400*lu1^7)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(28028*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(42*(-1 + 7*lu1 + 170*lu1^2)^2* (13143 + 321532*lu1 + 373207*lu1^2 + 616630*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f42[t] - I*f42n[t])* ((3964050 + 125522035*lu1 + 2361834113*lu1^2 - 53257382629* lu1^3 + 119292680573*lu1^4 + 427217531006*lu1^5 - 676966580500*lu1^6 + 1374145876600*lu1^7)*(f42[t] + I*f42n[t]) - 16*(2115 - 112200*lu1 + 2448032*lu1^2 + 13294224*lu1^3 - 521233163*lu1^4 - 1681400836*lu1^5 + 15140451300*lu1^6 + 43522393600*lu1^7)*(g42[t] + I*g42n[t])) + (5702265 + 226164010*lu1 + 1221987214*lu1^2 + 2951405468*lu1^3 - 203932481451*lu1^4 - 911654788742*lu1^5 + 321190498700*lu1^6 + 1813913725400*lu1^7)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(28028*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(8*(-33660 + 2857233*lu1 + 10652426*lu1^2 - 192883154*lu1^3 - 9226328448*lu1^4 - 78899268867*lu1^5 + 547169923666*lu1^6 + 4391155298220*lu1^7 + 4556164828600*lu1^8)*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(2*(9278919 - 89840156*lu1 - 8600648302* lu1^2 - 24992398500*lu1^3 + 1959539079103*lu1^4 - 2120268600024*lu1^5 - 66170027851536*lu1^6 + 6736247078400* lu1^7 + 246596189837200*lu1^8)*(f42[t] + I*f42n[t]) + (10319283 - 27795965*lu1 - 10735606654*lu1^2 - 54584377942* lu1^3 + 1075284105359*lu1^4 + 7017669195863*lu1^5 - 30711558672244*lu1^6 - 51302853303140*lu1^7 + 39542553027600* lu1^8)*(g42[t] + I*g42n[t])) - 42*(-66204 + 806697*lu1 + 65294850*lu1^2 - 239381174*lu1^3 - 13188137284*lu1^4 - 30087009351*lu1^5 + 407001187102*lu1^6 + 1472742891500*lu1^7 + 1276076293800*lu1^8)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/(28028*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (75*Sqrt[3]*lu1*mar*((25823349 - 98699133*lu1 - 25462947194*lu1^2 - 145962303550*lu1^3 + 2542503149585*lu1^4 + 12647191869103*lu1^5 + 13057207699604*lu1^6 - 13368102900388*lu1^7 - 18429593399280* lu1^8)*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((f42[t] - I*f42n[t])*((693225 - 171526290*lu1 + 2769701292* lu1^2 + 200078741360*lu1^3 - 923050990595*lu1^4 - 9958477077990*lu1^5 - 16898607518770*lu1^6 + 28070798141344* lu1^7 + 55745047593480*lu1^8)*(f42[t] + I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(-33954 - 359147*lu1 + 31149638*lu1^2 + 545122717*lu1^3 + 1262421930*lu1^4)*( g42[t] + I*g42n[t])) + 2*(612954 - 8272989*lu1 - 374578398*lu1^2 + 3665598710*lu1^3 + 33108789410*lu1^4 - 219419036517*lu1^5 - 450763794798*lu1^6 + 1141325534884*lu1^7 + 1940669643640*lu1^8)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/(28028*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (75*Sqrt[3]*lu1*mar*(16*(5940 + 478383*lu1 + 15555436*lu1^2 - 297109534*lu1^3 - 3202565388*lu1^4 + 8286279003*lu1^5 + 63248403716*lu1^6 + 897379647420*lu1^7 + 1884329585600*lu1^8)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])* (4*(3901989 - 73451878*lu1 - 3157018178*lu1^2 + 32951544336* lu1^3 + 90124492133*lu1^4 - 256788067098*lu1^5 - 10887689266944*lu1^6 + 5975689577880*lu1^7 + 50661701997200* lu1^8)*(f42[t] + I*f42n[t]) + (6935235 + 6909367*lu1 - 7916348942*lu1^2 - 67464796318*lu1^3 + 1245540496575*lu1^4 + 5707960285627*lu1^5 - 41426643294724*lu1^6 - 47357781099220* lu1^7 + 100724350381200*lu1^8)*(g42[t] + I*g42n[t])) - 42*(7038 + 154017*lu1 - 13620674*lu1^2 - 134910894*lu1^3 + 5381659622*lu1^4 + 11801778409*lu1^5 - 383901808626*lu1^6 + 524896217900*lu1^7 + 2590279830600*lu1^8)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))))/(28028*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*((55434417 - 493487053*lu1 - 51638169482*lu1^2 + 8356682930*lu1^3 + 4960141694205*lu1^4 + 15164834009039*lu1^5 + 1735705640764*lu1^6 - 18611607863044* lu1^7 - 8895086177040*lu1^8)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((f42[t] - I*f42n[t])*((-9798195 - 98887462*lu1 + 14947455076* lu1^2 + 108338654360*lu1^3 - 1120074832015*lu1^4 - 16923184217130*lu1^5 - 11352992813634*lu1^6 + 42927954783632* lu1^7 + 46844710954440*lu1^8)*(f42[t] + I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(-49362 - 116081*lu1 + 42661574*lu1^2 + 467258431*lu1^3 + 833052990*lu1^4)*(g42[t] + I*g42n[t])) + 2*(498285 + 560187*lu1 - 514317204*lu1^2 + 1726456250*lu1^3 + 67958120525*lu1^4 - 198037825065*lu1^5 - 1280501575086*lu1^6 + 465045334132*lu1^7 + 3468571483720*lu1^8)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (28028*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* (8*(-33660 + 2857233*lu1 + 10652426*lu1^2 - 192883154*lu1^3 - 9226328448*lu1^4 - 78899268867*lu1^5 + 547169923666*lu1^6 + 4391155298220*lu1^7 + 4556164828600*lu1^8)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(f42[t] - I*f42n[t])*((9278919 - 89840156*lu1 - 8600648302* lu1^2 - 24992398500*lu1^3 + 1959539079103*lu1^4 - 2120268600024*lu1^5 - 66170027851536*lu1^6 + 6736247078400* lu1^7 + 246596189837200*lu1^8)*(f42[t] + I*f42n[t]) - 21*(-66204 + 806697*lu1 + 65294850*lu1^2 - 239381174*lu1^3 - 13188137284*lu1^4 - 30087009351*lu1^5 + 407001187102*lu1^6 + 1472742891500*lu1^7 + 1276076293800*lu1^8)*(g42[t] + I*g42n[t])) + (10319283 - 27795965*lu1 - 10735606654*lu1^2 - 54584377942*lu1^3 + 1075284105359*lu1^4 + 7017669195863*lu1^5 - 30711558672244*lu1^6 - 51302853303140*lu1^7 + 39542553027600* lu1^8)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (28028*(-1 + 7*lu1 + 170*lu1^2)^3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (75*Sqrt[3]*lu1*mar*(16*(5940 + 478383*lu1 + 15555436*lu1^2 - 297109534*lu1^3 - 3202565388*lu1^4 + 8286279003*lu1^5 + 63248403716*lu1^6 + 897379647420*lu1^7 + 1884329585600*lu1^8)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f42[t] - I*f42n[t])* (2*(3901989 - 73451878*lu1 - 3157018178*lu1^2 + 32951544336* lu1^3 + 90124492133*lu1^4 - 256788067098*lu1^5 - 10887689266944*lu1^6 + 5975689577880*lu1^7 + 50661701997200* lu1^8)*(f42[t] + I*f42n[t]) - 21*(7038 + 154017*lu1 - 13620674*lu1^2 - 134910894*lu1^3 + 5381659622*lu1^4 + 11801778409*lu1^5 - 383901808626*lu1^6 + 524896217900*lu1^7 + 2590279830600*lu1^8)*(g42[t] + I*g42n[t])) + (6935235 + 6909367*lu1 - 7916348942*lu1^2 - 67464796318*lu1^3 + 1245540496575*lu1^4 + 5707960285627*lu1^5 - 41426643294724*lu1^ 6 - 47357781099220*lu1^7 + 100724350381200*lu1^8)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]))))/ (28028*(-1 + 7*lu1 + 170*lu1^2)^3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*mar*f20[t]*((97 + 2249*lu1 + 12790*lu1^2)*(f42[t] + I*f42n[t])* g20[t] + 4*f20[t]*((-1007 + 6741*lu1 + 6830*lu1^2)* (f42[t] + I*f42n[t]) + (43 - 1869*lu1 - 2830*lu1^2)* (g42[t] + I*g42n[t]))))/(196*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) + (5*mar*(f22[t] - I*f22n[t])* ((97 + 2249*lu1 + 12790*lu1^2)*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* ((-1007 + 6741*lu1 + 6830*lu1^2)*(f42[t] + I*f42n[t]) + (43 - 1869*lu1 - 2830*lu1^2)*(g42[t] + I*g42n[t]))))/ (196*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) - (10*mar*f20[t]*(6*(-234 + 939*lu1 + 43785*lu1^2 + 124819*lu1^3 + 152549*lu1^4 + 38590*lu1^5)*(f42[t] + I*f42n[t])*g20[t] + f20[t]*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f42[t] + I*f42n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(g42[t] + I*g42n[t]))))/(539*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (5*(-1 + 5*lu1)*mar*f20[t]* ((-3663693 + 33835326*lu1 + 1334085380*lu1^2 + 1526188110*lu1^3 - 900481435*lu1^4 - 963093036*lu1^5 + 4082885252*lu1^6)* (f42[t] + I*f42n[t])*g20[t] + f20[t]* (36*(-2213139 + 31249281*lu1 - 16579845*lu1^2 - 1270448005*lu1^3 - 145569060*lu1^4 + 14063409112*lu1^5 + 18248105832*lu1^6)* (f42[t] + I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2* (302113 + 5480192*lu1 + 8218495*lu1^2)*(g42[t] + I*g42n[t]))))/ (42042*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (25*lu1*mar*f20[t]*(3*(-363135 + 13790728*lu1 + 53548954*lu1^2 + 533547332*lu1^3 + 2807751161*lu1^4 + 3659834028*lu1^5 - 1072597260*lu1^6)*(f42[t] + I*f42n[t])*g20[t] + f20[t]*(2*(-8957817 - 58263933*lu1 + 2512554001*lu1^2 - 13424757387*lu1^3 - 31755808556*lu1^4 + 133888767228*lu1^5 + 255247300000*lu1^6)*(f42[t] + I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(168757 + 2171696*lu1 + 10253275*lu1^2)*(g42[t] + I*g42n[t]))))/ (14014*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*mar*f40[t]*(630*(8 + 401*lu1 + 2600*lu1^2 + 12863*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + f40[t]* ((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)* (f42[t] + I*f42n[t]) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(g42[t] + I*g42n[t]))))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (288120*mar*f40[t]*(-3*(-15 + 1844*lu1 + 22969*lu1^2 + 613922*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + 2*f40[t]* ((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)* (f42[t] + I*f42n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(g42[t] + I*g42n[t]))))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (405*Sqrt[3]*mar*(f42[t] + I*f42n[t])* (2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)* (f42[t] + I*f42n[t]) + (237 + 9992*lu1 - 50751*lu1^2 - 139574*lu1^3)*(g42[t] + I*g42n[t]))))/ (28028*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (100*mar*f40[t]*(18*(130 + 1971*lu1 + 3338*lu1^2 - 1023*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + f40[t]* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)* (f42[t] + I*f42n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(g42[t] + I*g42n[t]))))/ (5929*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (135*mar*f20[t]*(2*(9 + 524*lu1 + 3333*lu1^2 + 10342*lu1^3)* (f42[t] + I*f42n[t])*g20[t] + f20[t]* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)* (f42[t] + I*f42n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(g42[t] + I*g42n[t]))))/ (1274*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (675*mar*(f22[t] - I*f22n[t])*(2*(9 + 524*lu1 + 3333*lu1^2 + 10342*lu1^3)*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*(f42[t] + I*f42n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(g42[t] + I*g42n[t]))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (675*mar*f40[t]* ((195 + 9772*lu1 - 51693*lu1^2 - 145474*lu1^3)*(f42[t] + I*f42n[t])* g40[t] + f40[t]*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)* (f42[t] + I*f42n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(g42[t] + I*g42n[t]))))/ (11858*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*mar*f20[t]*((12763 + 67208*lu1 + 49551*lu1^2 - 112626*lu1^3)* (f42[t] + I*f42n[t])*g20[t] + 20*f20[t]* ((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)* (f42[t] + I*f42n[t]) + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)* (g42[t] + I*g42n[t]))))/(196*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) - (5*mar*(f22[t] - I*f22n[t])*((12763 + 67208*lu1 + 49551*lu1^2 - 112626*lu1^3)*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 20*(f22[t] - I*f22n[t])*((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*(f42[t] + I*f42n[t]) + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*(g42[t] + I*g42n[t]))))/ (196*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (70*mar*f20[t]*(-((1905 + 178808*lu1 + 310117*lu1^2 + 1768242*lu1^3)* (f42[t] + I*f42n[t])*g20[t]) + 2*f20[t]* ((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)* (f42[t] + I*f42n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)* (g42[t] + I*g42n[t]))))/(1573*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (25*mar*(f22[t] - I*f22n[t])* (-((1905 + 178808*lu1 + 310117*lu1^2 + 1768242*lu1^3)* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*(f42[t] + I*f42n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g42[t] + I*g42n[t]))))/ (6292*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (1215*mar*f40[t]*(5*(-107 - 2548*lu1 - 11591*lu1^2 + 14502*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + 2*f40[t]* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)* (f42[t] + I*f42n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)* (g42[t] + I*g42n[t]))))/(33124*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (4*mar*f20[t]*((85407 + 1508158*lu1 + 849903*lu1^2 - 2751820*lu1^3)* (f42[t] + I*f42n[t])*g20[t] + 12*f20[t]* ((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)* (f42[t] + I*f42n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g42[t] + I*g42n[t]))))/ (17787*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*mar*(f22[t] - I*f22n[t])*((85407 + 1508158*lu1 + 849903*lu1^2 - 2751820*lu1^3)*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 12*(f22[t] - I*f22n[t])*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f42[t] + I*f42n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g42[t] + I*g42n[t]))))/(23716*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (675*mar*f40[t]* ((2499 + 45370*lu1 + 15435*lu1^2 - 141448*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + f40[t]* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)* (f42[t] + I*f42n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)* (g42[t] + I*g42n[t]))))/(11858*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (463050*mar*f40[t]*(-((51 + 5830*lu1 + 34117*lu1^2 + 2152962*lu1^3)* (f42[t] + I*f42n[t])*g40[t]) + 6*f40[t]* ((21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)* (f42[t] + I*f42n[t]) - 5*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)* (g42[t] + I*g42n[t]))))/(347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (10*mar*(f42[t] + I*f42n[t])*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f42[t] + I*f42n[t]) + (399 + 3200*lu1 + 9219*lu1^2 + 22510*lu1^3)*(g42[t] + I*g42n[t]))))/ (539*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (1215*mar*f40[t]*(3*(-3 - 200*lu1 + 2057*lu1^2 + 37570*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + 2*f40[t]* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)* (f42[t] + I*f42n[t]) - (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(g42[t] + I*g42n[t]))))/ (33124*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (135*Sqrt[3]*mar*(f42[t] + I*f42n[t])* (220*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)* (f42[t] + I*f42n[t]) + 9*(169 + 2870*lu1 + 17041*lu1^2 + 103440*lu1^3)*(g42[t] + I*g42n[t]))))/ (28028*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (10935*mar*f40[t]*(-10*(51 + 1214*lu1 + 6763*lu1^2 + 5924*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + f40[t]* (2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)* (f42[t] + I*f42n[t]) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*(g42[t] + I*g42n[t]))))/ (182182*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (463050*mar*f40[t]*(2*(42 + 451*lu1 - 6515*lu1^2 - 364698*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + 3*f40[t]* ((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)* (f42[t] + I*f42n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(g42[t] + I*g42n[t]))))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (5*mar*(f42[t] + I*f42n[t])*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] + I*f42n[t]) + (429 + 13088*lu1 + 189065*lu1^2 + 9168810*lu1^3)* (g42[t] + I*g42n[t]))))/(143*Sqrt[3]*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (225*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* ((5121 + 6341*lu1 - 78451*lu1^2 - 225149*lu1^3 + 1017898*lu1^4)* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* ((-1044 - 4157*lu1 - 177680*lu1^2 + 1124771*lu1^3 + 1165310*lu1^4)* (f42[t] + I*f42n[t]) + (-111 + 2356*lu1 + 21997*lu1^2 - 148186*lu1^3 - 363736*lu1^4)*(g42[t] + I*g42n[t]))))/ (2002*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (2025*lu1*mar*(f22[t] - I*f22n[t])* (3*(2281 + 17287*lu1 - 330219*lu1^2 - 471203*lu1^3 + 1354270*lu1^4)* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (5*(-2499 + 11362*lu1 - 103031*lu1^2 + 1000964*lu1^3 + 971732*lu1^4)*(f42[t] + I*f42n[t]) - (5061 + 43622*lu1 - 572959*lu1^2 + 143752*lu1^3 + 2847340*lu1^4)* (g42[t] + I*g42n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*mar*(f42[t] + I*f42n[t])* (84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)* (f42[t] + I*f42n[t]) + (765 - 14643*lu1 + 476207*lu1^2 + 13758099*lu1^3 - 72731864*lu1^4 - 196427700*lu1^5)* (g42[t] + I*g42n[t]))))/(286*Sqrt[3]*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (4*mar*f20[t]* (5*(-1929 + 17167*lu1 + 291821*lu1^2 - 621183*lu1^3 + 2279080*lu1^4 + 12160100*lu1^5)*(f42[t] + I*f42n[t])*g20[t] + 6*f20[t]*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f42[t] + I*f42n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g42[t] + I*g42n[t]))))/ (17787*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*mar*(f22[t] - I*f22n[t])*(5*(-1929 + 17167*lu1 + 291821*lu1^2 - 621183*lu1^3 + 2279080*lu1^4 + 12160100*lu1^5)* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 6*(f22[t] - I*f22n[t])* ((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f42[t] + I*f42n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g42[t] + I*g42n[t]))))/ (23716*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (45*Sqrt[3]*mar*(f42[t] + I*f42n[t])*(27*(21 + 67*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] + I*f42n[t]) + (27129 + 696995*lu1 + 83293*lu1^2 - 24617655*lu1^3 - 62448466*lu1^4 - 36043760*lu1^5)*(g42[t] + I*g42n[t]))))/ (22022*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (10*mar*(f42[t] + I*f42n[t])*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f42[t] + I*f42n[t]) - 2*(549 + 26895*lu1 - 302045*lu1^2 - 125155*lu1^3 + 4225640*lu1^4 + 6122788*lu1^5)*(g42[t] + I*g42n[t]))))/ (539*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)* Pi) + (210*Sqrt[3]*mar*(f42[t] + I*f42n[t])* (-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)* (f42[t] + I*f42n[t]) - 7*(-573 - 32827*lu1 - 40051*lu1^2 + 319639*lu1^3 + 6851944*lu1^4 + 12611820*lu1^5)* (g42[t] + I*g42n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (70*mar*f20[t]*((-5613 + 29155*lu1 + 1307769*lu1^2 + 1369725*lu1^3 - 59417168*lu1^4 - 276225180*lu1^5)*(f42[t] + I*f42n[t])*g20[t] + 2*f20[t]*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f42[t] + I*f42n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g42[t] + I*g42n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (25*mar*(f22[t] - I*f22n[t])*((-5613 + 29155*lu1 + 1307769*lu1^2 + 1369725*lu1^3 - 59417168*lu1^4 - 276225180*lu1^5)* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f42[t] + I*f42n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g42[t] + I*g42n[t]))))/ (6292*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (5*lu1*mar*f20[t]*(55*(-2653587 - 271692606*lu1 + 4721436602*lu1^2 + 88349408304*lu1^3 - 731192794571*lu1^4 - 9723217216210*lu1^5 - 4018615295460*lu1^6 + 34749087255400*lu1^7)*(f42[t] + I*f42n[t])* g20[t] + 4*f20[t]*(2*(-36628641 + 6332652429*lu1 - 182571217549*lu1^2 + 1639210499547*lu1^3 + 11780167261354*lu1^ 4 - 248629731229228*lu1^5 + 989432259351240*lu1^6 + 2641400873910400*lu1^7)*(f42[t] + I*f42n[t]) + (80244432 - 953620713*lu1 + 13876220717*lu1^2 - 325756588029*lu1^ 3 + 5408534368939*lu1^4 + 82295985372482*lu1^5 - 555300145657260*lu1^6 - 1335838511264600*lu1^7)* (g42[t] + I*g42n[t]))))/(308308*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (75*lu1*mar*(f22[t] - I*f22n[t])*(22*(-245379 - 12477490*lu1 + 100361582*lu1^2 + 4534622460*lu1^3 - 6318877039*lu1^4 - 326678601850*lu1^5 + 185985701100*lu1^6 + 2922473757000*lu1^7)* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(77633388 + 1404911759*lu1 - 23449281611*lu1^2 + 141627939907*lu1^3 + 3325749085303*lu1^4 - 57272556786518*lu1^ 5 + 156008719779940*lu1^6 + 490539364939400*lu1^7)* (f42[t] + I*f42n[t]) + (72074451 + 2483358642*lu1 + 15282203840*lu1^2 - 204943458894*lu1^3 - 720552037127*lu1^4 + 19231862600972*lu1^5 - 83614306286460*lu1^6 - 231648729737600* lu1^7)*(g42[t] + I*g42n[t]))))/ (308308*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (22*(66441 - 12460205*lu1 - 63703203*lu1^2 + 4944681605*lu1^3 - 1189641794*lu1^4 - 287818073940*lu1^5 + 2040182288600*lu1^6 + 5301467136000*lu1^7)*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(-106767681 + 2318378760*lu1 + 64077838900*lu1^2 - 729327061278*lu1^3 + 2620985873153*lu1^4 - 35439151369874*lu1^5 + 114770063743020*lu1^6 + 429299107416200*lu1^7)*(f42[t] + I*f42n[t]) + (28685277 + 301038470*lu1 + 21471403520*lu1^2 + 643150288798*lu1^ 3 - 566812720713*lu1^4 - 14412494103604*lu1^5 - 100070907777380*lu1^6 - 125245255872800*lu1^7)* (g42[t] + I*g42n[t]))))/(308308*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (75*lu1*mar*(f22[t] - I*f22n[t])* (-((117646719 + 6164577488*lu1 + 116937108114*lu1^2 + 317548913512*lu1^3 - 10563440455109*lu1^4 - 32814637927024* lu1^5 + 6159317204060*lu1^6 + 65385018739600*lu1^7)* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])*((99543585 + 2283546118*lu1 + 41363691104*lu1^2 + 383594468102*lu1^3 - 4796715767869*lu1^4 - 18936751690492*lu1^5 - 21431606888020*lu1^6 + 13663664896000* lu1^7)*(f42[t] + I*f42n[t]) + 120*(-53748 - 890481*lu1 + 9057627*lu1^2 + 206480041*lu1^3 - 748116007*lu1^4 - 5877372732*lu1^5 + 7940479060*lu1^6 + 30441795440*lu1^7)* (g42[t] + I*g42n[t]))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*lu1*mar*f20[t]*((1101025323 + 38201051022*lu1 - 1421007470394* lu1^2 - 8696782806752*lu1^3 + 133240776419859*lu1^4 + 454628091435058*lu1^5 + 55094385888900*lu1^6 - 671529416772200*lu1^7)*(f42[t] + I*f42n[t])*g20[t] + 4*f20[t]*(4*(244505934 - 10298806602*lu1 + 93531602319*lu1^2 + 1406691719467*lu1^3 - 11816585247849*lu1^4 - 30410379500129*lu1^ 5 - 14544421909920*lu1^6 + 24385500342700*lu1^7)* (f42[t] + I*f42n[t]) - 45*(2456550 - 41616957*lu1 - 80940855*lu1^2 + 3004685395*lu1^3 - 23182859135*lu1^4 + 50204051590*lu1^5 + 237810326876*lu1^6 + 41654424280*lu1^7)* (g42[t] + I*g42n[t]))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (-((344668377 + 7329337486*lu1 + 20750417408*lu1^2 + 404485544294*lu1^3 - 8722277863253*lu1^4 - 35041762379780* lu1^5 - 14378915730900*lu1^6 + 52613191752800*lu1^7)* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])*((205375659 + 2220479282*lu1 - 986596064*lu1^2 + 694384995378*lu1^3 - 6539577103871*lu1^4 - 16099400970900*lu1^5 - 20597635653020*lu1^6 + 11272898156800* lu1^7)*(f42[t] + I*f42n[t]) + 60*(-6480 - 1839507*lu1 - 31012819*lu1^2 + 687540413*lu1^3 + 551841119*lu1^4 - 22250810098*lu1^5 + 235502612*lu1^6 + 82012816760*lu1^7)* (g42[t] + I*g42n[t]))))/(308308*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])* (66*(-1 + 7*lu1 + 170*lu1^2)^2*(-21033 - 489372*lu1 + 55423*lu1^2 + 532070*lu1^3)*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(-10086786 + 40633545*lu1 - 4031788205*lu1^2 + 49738292049*lu1^3 + 181207906751*lu1^4 - 1376100341366*lu1^5 - 1971778544220*lu1^6 + 8339827836200*lu1^ 7)*(f42[t] + I*f42n[t]) - (7119333 + 392429850*lu1 - 619912754*lu1^2 - 35227891980*lu1^3 - 76922668807*lu1^4 + 1012276339090*lu1^5 + 2141073980220*lu1^6 + 137266081400*lu1^7)* (g42[t] + I*g42n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - ((-1 + 5*lu1)*mar*f20[t]*((622190817 + 35375173356*lu1 - 1231956510792*lu1^2 - 9027058124006*lu1^3 + 131734999520547* lu1^4 + 541393271658850*lu1^5 + 405717901922340*lu1^6 - 455655015657800*lu1^7)*(f42[t] + I*f42n[t])*g20[t] + 12*f20[t]*(2*(47464113 - 7707914921*lu1 + 120441655127*lu1^2 + 1048671288271*lu1^3 - 13177218870172*lu1^4 - 14830430324450*lu1^ 5 + 16208218161320*lu1^6 + 38451100972200*lu1^7)* (f42[t] + I*f42n[t]) - 15*(922671 - 50309580*lu1 + 674761564*lu1^2 + 3232909022*lu1^3 - 82287285519*lu1^4 + 141148894590*lu1^5 + 874154372204*lu1^6 + 498618622600*lu1^7)* (g42[t] + I*g42n[t]))))/(924924*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (75*Sqrt[3]*lu1*mar*(f42[t] + I*f42n[t])* (44*(-1 + 7*lu1 + 170*lu1^2)^2*(-28293 - 686657*lu1 - 540882*lu1^2 + 1800120*lu1^3)*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(-10702650 + 128317481*lu1 - 3546820517*lu1^2 + 11214850033*lu1^3 + 307414111423*lu1^4 - 1411479516998*lu1^5 + 1234766039140*lu1^6 + 9169463277800*lu1^ 7)*(f42[t] + I*f42n[t]) - 3*(535089 + 106154780*lu1 + 467143924*lu1^2 - 5488928618*lu1^3 - 30671563865*lu1^4 - 31437958538*lu1^5 + 729360258820*lu1^6 + 1435145889800*lu1^7)* (g42[t] + I*g42n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (45*lu1*mar*f40[t]*((28804051203 + 1629495369286*lu1 + 33601311116286*lu1^2 - 231528984379528*lu1^3 - 6116246478976637* lu1^4 - 22432046608980414*lu1^5 - 15784588210449820*lu1^6 + 16887676242322200*lu1^7)*(f42[t] + I*f42n[t])*g40[t] + 20*f40[t]*((4303261977 + 282665829391*lu1 - 4094424254739*lu1^2 - 23646241048891*lu1^3 + 269876375453950*lu1^4 - 111951366303312*lu1^5 + 2232923855231336*lu1^6 + 5263814727590160*lu1^7)*(f42[t] + I*f42n[t]) - 17*(-17104170 + 276989731*lu1 + 5020497609*lu1^2 - 51310421005*lu1^3 - 571222482671*lu1^4 + 606358236294*lu1^5 + 6876554400860*lu1^6 + 4029777658200*lu1^7)* (g42[t] + I*g42n[t]))))/(68136068*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar*f40[t]*(-((-13166981013 - 762482647994*lu1 - 10078111969338*lu1^2 + 155464948899728*lu1^3 + 2432360371054675* lu1^4 + 4472227973501802*lu1^5 + 882182622764420*lu1^6 + 2529489989966520*lu1^7)*(f42[t] + I*f42n[t])*g40[t]) + 4*f40[t]*((14425758948 + 550741671167*lu1 - 11966893727703*lu1^2 - 55456951222025*lu1^3 + 1172773846355387*lu1^4 - 835573240251162*lu1^5 - 8533662759470492*lu1^6 + 2826476798563320*lu1^7)*(f42[t] + I*f42n[t]) + 17*(9333573 - 460685150*lu1 + 2866063434*lu1^2 + 99652261880*lu1^ 3 - 904679670851*lu1^4 - 6055410726090*lu1^5 + 57302805885788*lu1^6 + 117994065215880*lu1^7)* (g42[t] + I*g42n[t]))))/(68136068*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + ((-1 + 5*lu1)*mar*f20[t]*(11*(-34674597 - 1372631460*lu1 + 38961145376*lu1^2 + 423371962950*lu1^3 - 6527392849127*lu1^4 - 48009057694090*lu1^5 + 135648718977900*lu1^6 + 318280508161000*lu1^7)*(f42[t] + I*f42n[t])*g20[t] + 4*f20[t]*(6*(-279959817 + 1626473325*lu1 + 71105215945*lu1^2 + 47898373539*lu1^3 - 3778089893944*lu1^4 - 28118764357208*lu1^ 5 + 209388373039440*lu1^6 + 785240121772400*lu1^7)* (f42[t] + I*f42n[t]) - (323094573 + 13945604775*lu1 - 95358127655*lu1^2 - 4285625728383*lu1^3 - 14383047977842*lu1^ 4 + 133297579192684*lu1^5 + 789575687494680*lu1^6 + 877814065284800*lu1^7)*(g42[t] + I*g42n[t]))))/ (924924*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (45*lu1*mar*f40[t]* (6*(-5709292557 - 303775011559*lu1 + 1547542683831*lu1^2 + 98252697063967*lu1^3 + 131561007079778*lu1^4 - 4759246596450924* lu1^5 - 950037118238360*lu1^6 + 16894679274916800*lu1^7)* (f42[t] + I*f42n[t])*g40[t] + 5*f40[t]* (4*(4303261977 + 282665829391*lu1 - 4094424254739*lu1^2 - 23646241048891*lu1^3 + 269876375453950*lu1^4 - 111951366303312*lu1^5 + 2232923855231336*lu1^6 + 5263814727590160*lu1^7)*(f42[t] + I*f42n[t]) - 9*(-1530560541 - 74621531780*lu1 - 502424129472*lu1^2 + 17857769413814*lu1^3 + 149142152829937*lu1^4 - 131494914875226*lu1^5 + 276053199940268*lu1^6 + 1907789418021480*lu1^7)*(g42[t] + I*g42n[t]))))/ (68136068*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar*f40[t]* (4*(-2151627249 - 84423245633*lu1 + 1351327268265*lu1^2 + 19006905474461*lu1^3 - 85446138769244*lu1^4 - 674154184590216* lu1^5 + 1451409916725632*lu1^6 + 4454024081923920*lu1^7)* (f42[t] + I*f42n[t])*g40[t] + f40[t]* (4*(14425758948 + 550741671167*lu1 - 11966893727703*lu1^2 - 55456951222025*lu1^3 + 1172773846355387*lu1^4 - 835573240251162*lu1^5 - 8533662759470492*lu1^6 + 2826476798563320*lu1^7)*(f42[t] + I*f42n[t]) - 3*(-7469390991 - 356283013442*lu1 - 1622565069930*lu1^2 + 74905405663244*lu1^3 + 717364677865189*lu1^4 + 729126388171686*lu1^5 + 930410496477788*lu1^6 + 4107329960994120*lu1^7)*(g42[t] + I*g42n[t]))))/ (68136068*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (75*Sqrt[3]*lu1*mar*(f42[t] + I*f42n[t])* (16*(5940 + 478383*lu1 + 15555436*lu1^2 - 297109534*lu1^3 - 3202565388*lu1^4 + 8286279003*lu1^5 + 63248403716*lu1^6 + 897379647420*lu1^7 + 1884329585600*lu1^8)*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (4*(3901989 - 73451878*lu1 - 3157018178*lu1^2 + 32951544336*lu1^ 3 + 90124492133*lu1^4 - 256788067098*lu1^5 - 10887689266944*lu1^6 + 5975689577880*lu1^7 + 50661701997200*lu1^ 8)*(f42[t] + I*f42n[t]) + (6639639 + 440653*lu1 - 7344280634*lu1^2 - 61798538770*lu1^3 + 1019510792451*lu1^4 + 5212285592449*lu1^5 - 25302767332432*lu1^6 - 69403422251020*lu1^ 7 - 8067402504000*lu1^8)*(g42[t] + I*g42n[t]))))/ (28028*(-1 + 7*lu1 + 170*lu1^2)^3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f42[t] + I*f42n[t])*((-55434417 + 493487053*lu1 + 51638169482*lu1^2 - 8356682930*lu1^3 - 4960141694205*lu1^4 - 15164834009039*lu1^5 - 1735705640764*lu1^6 + 18611607863044* lu1^7 + 8895086177040*lu1^8)*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((9798195 + 98887462*lu1 - 14947455076*lu1^2 - 108338654360*lu1^ 3 + 1120074832015*lu1^4 + 16923184217130*lu1^5 + 11352992813634*lu1^6 - 42927954783632*lu1^7 - 46844710954440* lu1^8)*(f42[t] + I*f42n[t]) + (-4106376 + 18518175*lu1 + 3800080302*lu1^2 + 2397703110*lu1^3 - 357478003360*lu1^4 + 42125084623*lu1^5 + 5879734764090*lu1^6 + 9554352031124*lu1^7 + 1483356655480*lu1^8)*(g42[t] + I*g42n[t]))))/ (28028*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (75*Sqrt[3]*lu1*mar*(f42[t] + I*f42n[t])* ((25823349 - 98699133*lu1 - 25462947194*lu1^2 - 145962303550*lu1^3 + 2542503149585*lu1^4 + 12647191869103*lu1^5 + 13057207699604* lu1^6 - 13368102900388*lu1^7 - 18429593399280*lu1^8)* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((693225 - 171526290*lu1 + 2769701292*lu1^2 + 200078741360*lu1^3 - 923050990595*lu1^4 - 9958477077990*lu1^5 - 16898607518770*lu1^ 6 + 28070798141344*lu1^7 + 55745047593480*lu1^8)* (f42[t] + I*f42n[t]) - (-3365010 + 12458601*lu1 + 2921701254*lu1^2 + 9917333250*lu1^3 - 300013868890*lu1^4 - 263779344335*lu1^5 + 4465076584182*lu1^6 + 11958359421548*lu1^ 7 + 8879221581160*lu1^8)*(g42[t] + I*g42n[t]))))/ (28028*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f42[t] + I*f42n[t])*(8*(-33660 + 2857233*lu1 + 10652426*lu1^2 - 192883154*lu1^3 - 9226328448*lu1^4 - 78899268867*lu1^5 + 547169923666*lu1^6 + 4391155298220*lu1^7 + 4556164828600*lu1^8)* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(9278919 - 89840156*lu1 - 8600648302*lu1^2 - 24992398500*lu1^ 3 + 1959539079103*lu1^4 - 2120268600024*lu1^5 - 66170027851536*lu1^6 + 6736247078400*lu1^7 + 246596189837200* lu1^8)*(f42[t] + I*f42n[t]) - (-13099851 + 61677239*lu1 + 13477990354*lu1^2 + 44530368634*lu1^3 - 1629185871287*lu1^4 - 8281323588605*lu1^5 + 47805608530528*lu1^6 + 113158054746140* lu1^7 + 14052651312000*lu1^8)*(g42[t] + I*g42n[t]))))/ (28028*(-1 + 7*lu1 + 170*lu1^2)^3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (5*(-1 + 5*lu1)*mar*f40[t]* ((-145038805893 - 8515080223083*lu1 - 11263607316754*lu1^2 + 3443293301822418*lu1^3 + 70514556366725479*lu1^4 + 631446115557245441*lu1^5 + 2429038702547740080*lu1^6 + 9838378546661774200*lu1^7 - 13697458312854057840*lu1^8 - 47072425409007490800*lu1^9)*(f42[t] + I*f42n[t])*g40[t] + f40[t]*(8*(15950708667 - 861403434381*lu1 - 88455855991568*lu1^2 + 1061658966235758*lu1^3 + 41596642494622559*lu1^4 - 97858415060220509*lu1^5 - 3203882209766300706*lu1^6 - 1317967860323759428*lu1^7 + 63448277301462102840*lu1^8 + 99352287986284317600*lu1^9)*(f42[t] + I*f42n[t]) - 45045*(272475 - 8665425*lu1 - 796694042*lu1^2 + 17397717918*lu1^ 3 + 544605683039*lu1^4 - 6411282128933*lu1^5 - 84707873860464*lu1^6 + 269545031527784*lu1^7 + 1959697495501200*lu1^8 + 2282346696999600*lu1^9)* (g42[t] + I*g42n[t]))))/(102204102*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (45*lu1*mar*f40[t]* (5*(-9083078529 - 948923387089*lu1 - 11941055753786*lu1^2 + 511641377382430*lu1^3 + 8955049846352275*lu1^4 + 16870935266271787*lu1^5 - 108499791716913128*lu1^6 + 354423787689154808*lu1^7 + 5044346706465526320*lu1^8 + 7504574309612780400*lu1^9)*(f42[t] + I*f42n[t])*g40[t] + f40[t]*(20*(-10613964081 - 139414327379*lu1 + 7532537448930*lu1^2 - 4224654443742*lu1^3 + 120176449710459*lu1^4 + 37460693167056385* lu1^5 - 39482157282221052*lu1^6 - 1662446779099474672*lu1^7 - 216737356562431040*lu1^8 + 5982716955193162800*lu1^9)* (f42[t] + I*f42n[t]) - 1001*(4971303 + 141371127*lu1 - 8981449522*lu1^2 - 205545159906*lu1^3 + 4260023946667*lu1^4 + 72053717837747*lu1^5 - 762050297499408*lu1^6 - 6791253296348120*lu1^7 + 36369867536830800*lu1^8 + 92803778778942000*lu1^9)*(g42[t] + I*g42n[t]))))/ (34068034*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (10*mar*f20[t]^2*((-50 + 4*lu1)*(f42[t] - I*f42n[t]) + 7*(1 + lu1)*(g42[t] - I*g42n[t])))/(7*(3 + 32*lu1 + 20*lu1^2)*Pi) - (25*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* ((-50 + 4*lu1)*(f42[t] - I*f42n[t]) + 7*(1 + lu1)* (g42[t] - I*g42n[t])))/(14*(3 + 32*lu1 + 20*lu1^2)*Pi) + (25*mar*(f22[t] + I*f22n[t])^2*((-50 + 4*lu1)*(f42[t] - I*f42n[t]) + 7*(1 + lu1)*(g42[t] - I*g42n[t])))/(14*(3 + 32*lu1 + 20*lu1^2)* Pi) - (45*Sqrt[5]*mar*f20[t]*f40[t]* ((-50 + 4*lu1)*(f42[t] - I*f42n[t]) + 7*(1 + lu1)* (g42[t] - I*g42n[t])))/(77*(3 + 32*lu1 + 20*lu1^2)*Pi) - (195*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* ((-50 + 4*lu1)*(f42[t] - I*f42n[t]) + 7*(1 + lu1)* (g42[t] - I*g42n[t])))/(154*(3 + 32*lu1 + 20*lu1^2)*Pi) + (195*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* ((-50 + 4*lu1)*(f42[t] - I*f42n[t]) + 7*(1 + lu1)* (g42[t] - I*g42n[t])))/(154*(3 + 32*lu1 + 20*lu1^2)*Pi) + (45*Sqrt[2/7]*mar*f20[t]*(f44[t] + I*f44n[t])* ((-50 + 4*lu1)*(f42[t] - I*f42n[t]) + 7*(1 + lu1)* (g42[t] - I*g42n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) - (15*mar*f20[t]^2*(4*(-5 + 64*lu1)*(f42[t] - I*f42n[t]) - (1 + 67*lu1)*(g42[t] - I*g42n[t])))/(2*(-1 + 7*lu1 + 170*lu1^2)* Pi) - (15*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (4*(-5 + 64*lu1)*(f42[t] - I*f42n[t]) - (1 + 67*lu1)* (g42[t] - I*g42n[t])))/((-1 + 7*lu1 + 170*lu1^2)*Pi) - (15*mar*f40[t]^2*(4*(-5 + 64*lu1)*(f42[t] - I*f42n[t]) - (1 + 67*lu1)*(g42[t] - I*g42n[t])))/(2*(-1 + 7*lu1 + 170*lu1^2)* Pi) - (15*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (4*(-5 + 64*lu1)*(f42[t] - I*f42n[t]) - (1 + 67*lu1)* (g42[t] - I*g42n[t])))/((-1 + 7*lu1 + 170*lu1^2)*Pi) - (15*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (4*(-5 + 64*lu1)*(f42[t] - I*f42n[t]) - (1 + 67*lu1)* (g42[t] - I*g42n[t])))/((-1 + 7*lu1 + 170*lu1^2)*Pi) + (7*mar*f20[t]^2*(4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (19*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (5*mar*(f22[t] + I*f22n[t])^2*(4*(-17 + 323*lu1 + 16*lu1^2)* (f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)* (g42[t] - I*g42n[t])))/(11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) + (63*Sqrt[5]*mar*f20[t]*f40[t]*(4*(-17 + 323*lu1 + 16*lu1^2)* (f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)* (g42[t] - I*g42n[t])))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) - (30*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (30*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (45*Sqrt[14]*mar*f20[t]*(f44[t] + I*f44n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (100*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((46 - 394*lu1 + 532*lu1^2)*(f42[t] - I*f42n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g42[t] - I*g42n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (100*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])^2* ((46 - 394*lu1 + 532*lu1^2)*(f42[t] - I*f42n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g42[t] - I*g42n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (7350*mar*f40[t]^2*((47 - 1265*lu1 + 794*lu1^2)*(f42[t] - I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g42[t] - I*g42n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (6860*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f42[t] - I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g42[t] - I*g42n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (6860*mar*(f42[t] + I*f42n[t])^2*((47 - 1265*lu1 + 794*lu1^2)* (f42[t] - I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)* (g42[t] - I*g42n[t])))/(20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)* Pi) + (630*Sqrt[70]*mar*f40[t]*(f44[t] + I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f42[t] - I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g42[t] - I*g42n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (15960*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f42[t] - I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g42[t] - I*g42n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (15*Sqrt[5]*mar*f20[t]*f40[t]*((-95 + 497*lu1 + 2374*lu1^2)* (f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)* (g42[t] - I*g42n[t])))/(77*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)* Pi) - (675*mar*f40[t]^2*((-95 + 497*lu1 + 2374*lu1^2)* (f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)* (g42[t] - I*g42n[t])))/(1694*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)* Pi) - (65*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] - I*g42n[t])))/ (154*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (65*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] - I*g42n[t])))/ (154*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (1521*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] - I*g42n[t])))/ (1694*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (1521*mar*(f42[t] + I*f42n[t])^2*((-95 + 497*lu1 + 2374*lu1^2)* (f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)* (g42[t] - I*g42n[t])))/(1694*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)* Pi) + (15*Sqrt[2/7]*mar*f20[t]*(f44[t] + I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] - I*g42n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (135*Sqrt[10/7]*mar*f40[t]*(f44[t] + I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] - I*g42n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (135*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] - I*g42n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (21*Sqrt[5]*mar*f20[t]*f40[t]*((-41 - 817*lu1 + 1978*lu1^2)* (f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)* (g42[t] - I*g42n[t])))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) - (945*mar*f40[t]^2*((-41 - 817*lu1 + 1978*lu1^2)* (f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)* (g42[t] - I*g42n[t])))/(1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) + (10*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (10*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (180*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] - I*g42n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (180*mar*(f42[t] + I*f42n[t])^2*((-41 - 817*lu1 + 1978*lu1^2)* (f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)* (g42[t] - I*g42n[t])))/(1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) - (15*Sqrt[14]*mar*f20[t]*(f44[t] + I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (270*Sqrt[70]*mar*f40[t]*(f44[t] + I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] - I*g42n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (1350*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] - I*g42n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (35*lu1*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (2*(2199 - 2365*lu1 - 78146*lu1^2 + 42248*lu1^3)* (f42[t] - I*f42n[t]) + (2067 + 25594*lu1 + 7613*lu1^2 - 13322*lu1^3)*(g42[t] - I*g42n[t])))/(11*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (1575*lu1*mar*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(2*(1238 + 281*lu1 - 57809*lu1^2 + 51202*lu1^3)* (f42[t] - I*f42n[t]) + 9*(141 + 1610*lu1 + 315*lu1^2 - 722*lu1^3)* (g42[t] - I*g42n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) - (315*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*((514 + 208*lu1 - 38998*lu1^2 + 30644*lu1^3)* (f42[t] - I*f42n[t]) + 9*(27 + 284*lu1 + 99*lu1^2 + 598*lu1^3)* (g42[t] - I*g42n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) - (7*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (f22[t] + I*f22n[t])*(2*(449 - 1147*lu1 - 32198*lu1^2 + 5848*lu1^3)* (f42[t] - I*f42n[t]) + (289 + 3964*lu1 + 5513*lu1^2 + 6698*lu1^3)* (g42[t] - I*g42n[t])))/(11*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])* (f42[t] - I*f42n[t])*((823266 + 3966802*lu1 - 20749284*lu1^2 - 33930192*lu1^3 + 24026368*lu1^4)*(f42[t] - I*f42n[t]) + (565065 + 6657688*lu1 + 6468363*lu1^2 - 4249020*lu1^3 - 1570736*lu1^4)*(g42[t] - I*g42n[t])))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* ((823266 + 3966802*lu1 - 20749284*lu1^2 - 33930192*lu1^3 + 24026368*lu1^4)*(f42[t] - I*f42n[t]) + (565065 + 6657688*lu1 + 6468363*lu1^2 - 4249020*lu1^3 - 1570736*lu1^4)*(g42[t] - I*g42n[t])))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (225*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* ((397038 - 2701314*lu1 - 7052092*lu1^2 - 3806384*lu1^3 + 4919552*lu1^4)*(f42[t] - I*f42n[t]) + (92703 + 1914984*lu1 + 2277341*lu1^2 - 982964*lu1^3 - 793264*lu1^4)* (g42[t] - I*g42n[t])))/(4004*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (225*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* ((397038 - 2701314*lu1 - 7052092*lu1^2 - 3806384*lu1^3 + 4919552*lu1^4)*(f42[t] - I*f42n[t]) + (92703 + 1914984*lu1 + 2277341*lu1^2 - 982964*lu1^3 - 793264*lu1^4)* (g42[t] - I*g42n[t])))/(4004*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (75*lu1*mar*(f22[t] - I*f22n[t])* (f22[t] + I*f22n[t])*(2*(115431 - 460341*lu1 - 2990114*lu1^2 - 847024*lu1^3 + 1451488*lu1^4)*(f42[t] - I*f42n[t]) + (77943 + 1246608*lu1 + 1311461*lu1^2 - 510500*lu1^3 - 463432*lu1^4)* (g42[t] - I*g42n[t])))/(308*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (75*lu1*mar*(f22[t] + I*f22n[t])^2* (2*(115431 - 460341*lu1 - 2990114*lu1^2 - 847024*lu1^3 + 1451488*lu1^4)*(f42[t] - I*f42n[t]) + (77943 + 1246608*lu1 + 1311461*lu1^2 - 510500*lu1^3 - 463432*lu1^4)* (g42[t] - I*g42n[t])))/(308*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*lu1*mar*f20[t]^2*(2*(92347 - 313187*lu1 - 2551468*lu1^2 - 633628*lu1^3 + 1164816*lu1^4)*(f42[t] - I*f42n[t]) + (66431 + 1019876*lu1 + 1047037*lu1^2 - 398060*lu1^3 - 371124*lu1^4)* (g42[t] - I*g42n[t])))/(154*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (405*Sqrt[5]*lu1*mar*f20[t]*f40[t]* (2*(34631 - 95536*lu1 - 1020189*lu1^2 - 220114*lu1^3 + 438248*lu1^4)* (f42[t] - I*f42n[t]) + (26533 + 391438*lu1 + 391791*lu1^2 - 145160*lu1^3 - 139322*lu1^4)*(g42[t] - I*g42n[t])))/ (1001*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (15*Sqrt[2/7]*(-1 + 5*lu1)*mar*f20[t]*(f44[t] + I*f44n[t])* (2*(7974 - 66059*lu1 + 383319*lu1^2 - 340014*lu1^3 + 282040*lu1^4)* (f42[t] - I*f42n[t]) + (4338 + 103067*lu1 + 101763*lu1^2 - 266298*lu1^3 - 105550*lu1^4)*(g42[t] - I*g42n[t])))/ (143*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (675*Sqrt[2/7]*lu1*mar*f20[t]*(f44[t] + I*f44n[t])* (2*(2307 - 49770*lu1 + 57557*lu1^2 - 49334*lu1^3 + 26360*lu1^4)* (f42[t] - I*f42n[t]) + (-1443 + 8298*lu1 + 27799*lu1^2 - 17824*lu1^3 - 8990*lu1^4)*(g42[t] - I*g42n[t])))/ (143*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (225*Sqrt[2/7]*lu1*mar*f20[t]*(f44[t] + I*f44n[t])* ((6492 - 200970*lu1 + 269896*lu1^2 + 490082*lu1^3 + 752740*lu1^4)* (f42[t] - I*f42n[t]) + (-4749 + 2340*lu1 + 109423*lu1^2 - 271774*lu1^3 + 78520*lu1^4)*(g42[t] - I*g42n[t])))/ (143*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (15*Sqrt[2/7]*(-1 + 5*lu1)*mar*f20[t]*(f44[t] + I*f44n[t])* (2*(4950 - 67718*lu1 + 201795*lu1^2 + 466407*lu1^3 + 624970*lu1^4)* (f42[t] - I*f42n[t]) + (936 + 46241*lu1 - 9915*lu1^2 - 437742*lu1^3 + 155480*lu1^4)*(g42[t] - I*g42n[t])))/ (143*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*f20[t]*f40[t]* (2*(176076 + 2136995*lu1 - 11644029*lu1^2 - 7116558*lu1^3 + 4530296*lu1^4)*(f42[t] - I*f42n[t]) + (323208 + 3167299*lu1 + 3057165*lu1^2 + 451662*lu1^3 + 254626*lu1^4)*(g42[t] - I*g42n[t])))/(1001*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*Sqrt[5]*lu1*mar*f20[t]*f40[t]* (2*(509394 - 3673887*lu1 - 7123666*lu1^2 + 7371037*lu1^3 + 8407922*lu1^4)*(f42[t] - I*f42n[t]) + (261393 + 4714944*lu1 + 695473*lu1^2 - 3359722*lu1^3 + 329992*lu1^4)*(g42[t] - I*g42n[t])))/(1001*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (2*(60273 - 137627*lu1 - 3587622*lu1^2 - 2783328*lu1^3 + 871264*lu1^4)*(f42[t] - I*f42n[t]) + (39033 + 597860*lu1 + 1152303*lu1^2 + 1080060*lu1^3 + 525464*lu1^4)* (g42[t] - I*g42n[t])))/(308*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])^2* (2*(60273 - 137627*lu1 - 3587622*lu1^2 - 2783328*lu1^3 + 871264*lu1^4)*(f42[t] - I*f42n[t]) + (39033 + 597860*lu1 + 1152303*lu1^2 + 1080060*lu1^3 + 525464*lu1^4)* (g42[t] - I*g42n[t])))/(308*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - ((-1 + 5*lu1)*mar*f20[t]^2* (2*(148833 - 328657*lu1 - 9251892*lu1^2 - 6550548*lu1^3 + 1988144*lu1^4)*(f42[t] - I*f42n[t]) + (96273 + 1457590*lu1 + 2818413*lu1^2 + 2813640*lu1^3 + 1332244*lu1^4)*(g42[t] - I*g42n[t])))/(154*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (75*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (2*(824142 - 7369803*lu1 - 8188961*lu1^2 + 15589814*lu1^3 + 19574728*lu1^4)*(f42[t] - I*f42n[t]) + (304233 + 7115706*lu1 + 3067535*lu1^2 - 10067402*lu1^3 + 1947608*lu1^4)*(g42[t] - I*g42n[t])))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (75*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* (2*(824142 - 7369803*lu1 - 8188961*lu1^2 + 15589814*lu1^3 + 19574728*lu1^4)*(f42[t] - I*f42n[t]) + (304233 + 7115706*lu1 + 3067535*lu1^2 - 10067402*lu1^3 + 1947608*lu1^4)*(g42[t] - I*g42n[t])))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*f20[t]*f40[t]* (2*(256212 - 2098726*lu1 - 4120023*lu1^2 + 8262771*lu1^3 + 8790986*lu1^4)*(f42[t] - I*f42n[t]) + (120978 + 2110537*lu1 - 1380849*lu1^2 + 886278*lu1^3 + 3952936*lu1^4)*(g42[t] - I*g42n[t])))/ (1001*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* ((951786 - 8801744*lu1 - 4893654*lu1^2 + 42045372*lu1^3 + 49496848*lu1^4)*(f42[t] - I*f42n[t]) + (198783 + 4021264*lu1 - 2254701*lu1^2 - 6768810*lu1^3 + 8805784*lu1^4)*(g42[t] - I*g42n[t])))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f42[t] + I*f42n[t])* ((951786 - 8801744*lu1 - 4893654*lu1^2 + 42045372*lu1^3 + 49496848*lu1^4)*(f42[t] - I*f42n[t]) + (198783 + 4021264*lu1 - 2254701*lu1^2 - 6768810*lu1^3 + 8805784*lu1^4)*(g42[t] - I*g42n[t])))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (2025*lu1*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (2*(1261266 - 6363777*lu1 - 36465085*lu1^2 - 17941900*lu1^3 + 57899104*lu1^4 + 42451192*lu1^5)*(f42[t] - I*f42n[t]) + 3*(220177 + 4354036*lu1 + 8461475*lu1^2 - 1462060*lu1^3 - 5366892*lu1^4 + 519984*lu1^5)*(g42[t] - I*g42n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (675*Sqrt[5/14]*lu1*mar*f40[t]*(f44[t] + I*f44n[t])* (2*(-874134 + 4933323*lu1 + 8965007*lu1^2 + 26099888*lu1^3 + 27901516*lu1^4 + 40121440*lu1^5)*(f42[t] - I*f42n[t]) + 3*(-178095 - 3090156*lu1 - 1680349*lu1^2 + 4723364*lu1^3 - 9074204*lu1^4 + 2572720*lu1^5)*(g42[t] - I*g42n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*f40[t]*(f44[t] + I*f44n[t])* (2*(1063917 - 13401134*lu1 - 62025391*lu1^2 - 26149884*lu1^3 + 66670132*lu1^4 + 114103520*lu1^5)*(f42[t] - I*f42n[t]) + (-332649 + 5124506*lu1 + 41361679*lu1^2 + 11898156*lu1^3 - 103700812*lu1^4 + 11204080*lu1^5)*(g42[t] - I*g42n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (225*lu1*mar*f40[t]^2*(2*(242236314 - 657571149*lu1 - 8189160985*lu1^2 - 6463793200*lu1^3 + 10345240156*lu1^4 + 7978300864*lu1^5)*(f42[t] - I*f42n[t]) - 9*(-18495507 - 308365020*lu1 - 589574249*lu1^2 - 13595116*lu1^3 + 280666388*lu1^4 + 23778544*lu1^5)*(g42[t] - I*g42n[t])))/ (572572*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (45*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (2*(4847715 - 21954058*lu1 - 148107965*lu1^2 - 99469140*lu1^3 + 232074200*lu1^4 + 196828408*lu1^5)*(f42[t] - I*f42n[t]) + (2800953 + 50721166*lu1 + 80566121*lu1^2 - 48913356*lu1^3 - 36070532*lu1^4 + 49126928*lu1^5)*(g42[t] - I*g42n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (45*lu1*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (2*(1144192446 - 3967334991*lu1 - 37217255003*lu1^2 - 17545483512*lu1^3 + 71608463716*lu1^4 + 58952879904*lu1^5 + 5450885440*lu1^6)*(f42[t] - I*f42n[t]) - 15*(-47841735 - 850286076*lu1 - 1749895829*lu1^2 - 78932636*lu1^3 + 1152884996*lu1^4 + 87466160*lu1^5)*(g42[t] - I*g42n[t])))/ (572572*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (45*lu1*mar*(f42[t] + I*f42n[t])^2* (2*(1144192446 - 3967334991*lu1 - 37217255003*lu1^2 - 17545483512*lu1^3 + 71608463716*lu1^4 + 58952879904*lu1^5 + 5450885440*lu1^6)*(f42[t] - I*f42n[t]) - 15*(-47841735 - 850286076*lu1 - 1749895829*lu1^2 - 78932636*lu1^3 + 1152884996*lu1^4 + 87466160*lu1^5)*(g42[t] - I*g42n[t])))/ (572572*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (45*(-1 + 5*lu1)*mar*f40[t]^2* (2*(81947367 - 241581610*lu1 - 3151602669*lu1^2 - 2827517956*lu1^3 + 3955165164*lu1^4 + 3386280704*lu1^5)*(f42[t] - I*f42n[t]) + (55202949 + 891684958*lu1 + 1437391133*lu1^2 - 113520828*lu1^3 + 431170204*lu1^4 + 967062224*lu1^5)*(g42[t] - I*g42n[t])))/ (572572*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (3*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (2*(1635081183 - 7315738778*lu1 - 63646610749*lu1^2 - 57416625516*lu1^3 + 80079629788*lu1^4 + 98678719712*lu1^5 + 16352656320*lu1^6)*(f42[t] - I*f42n[t]) + 5*(174217401 + 3283926190*lu1 + 6435790745*lu1^2 - 403697100*lu1^3 - 2986926356*lu1^4 + 1984927760*lu1^5)* (g42[t] - I*g42n[t])))/(572572*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) + (3*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])^2* (2*(1635081183 - 7315738778*lu1 - 63646610749*lu1^2 - 57416625516*lu1^3 + 80079629788*lu1^4 + 98678719712*lu1^5 + 16352656320*lu1^6)*(f42[t] - I*f42n[t]) + 5*(174217401 + 3283926190*lu1 + 6435790745*lu1^2 - 403697100*lu1^3 - 2986926356*lu1^4 + 1984927760*lu1^5)* (g42[t] - I*g42n[t])))/(572572*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) + (5*mar*f40[t]*((f42[t] - I*f42n[t])* ((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*f40[t] + 630*(8 + 401*lu1 + 2600*lu1^2 + 12863*lu1^3)*g40[t]) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (288120*mar*f40[t]*(3*(f42[t] - I*f42n[t])* ((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*f40[t] - (-15 + 1844*lu1 + 22969*lu1^2 + 613922*lu1^3)*g40[t]) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (100*mar*f40[t]*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*f40[t] + 18*(130 + 1971*lu1 + 3338*lu1^2 - 1023*lu1^3)*g40[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(5929*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (675*mar*f40[t]*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*f40[t] + (195 + 9772*lu1 - 51693*lu1^2 - 145474*lu1^3)*g40[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(11858*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (1215*mar*f40[t]*((f42[t] - I*f42n[t])* (-2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] + 5*(107 + 2548*lu1 + 11591*lu1^2 - 14502*lu1^3)*g40[t]) + 8*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]*(g42[t] - I*g42n[t])))/ (33124*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (675*mar*f40[t]*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*f40[t] + (2499 + 45370*lu1 + 15435*lu1^2 - 141448*lu1^3)*g40[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(11858*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (463050*mar*f40[t]*((f42[t] - I*f42n[t])* (-6*(21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)*f40[t] + (51 + 5830*lu1 + 34117*lu1^2 + 2152962*lu1^3)*g40[t]) + 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (1215*mar*f40[t]*((f42[t] - I*f42n[t])* (2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] + 3*(-3 - 200*lu1 + 2057*lu1^2 + 37570*lu1^3)*g40[t]) - 2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(33124*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (10935*mar*f40[t]*(2*(f42[t] - I*f42n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] - 5*(51 + 1214*lu1 + 6763*lu1^2 + 5924*lu1^3)*g40[t]) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(182182*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (463050*mar*f40[t]*(2*(f42[t] - I*f42n[t])* ((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*f40[t] + (42 + 451*lu1 - 6515*lu1^2 - 364698*lu1^3)*g40[t]) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (45*lu1*mar*f40[t]*((f42[t] - I*f42n[t])* (20*(4303261977 + 282665829391*lu1 - 4094424254739*lu1^2 - 23646241048891*lu1^3 + 269876375453950*lu1^4 - 111951366303312*lu1^5 + 2232923855231336*lu1^6 + 5263814727590160*lu1^7)*f40[t] + (28804051203 + 1629495369286*lu1 + 33601311116286*lu1^2 - 231528984379528*lu1^ 3 - 6116246478976637*lu1^4 - 22432046608980414*lu1^5 - 15784588210449820*lu1^6 + 16887676242322200*lu1^7)*g40[t]) - 340*(-17104170 + 276989731*lu1 + 5020497609*lu1^2 - 51310421005*lu1^3 - 571222482671*lu1^4 + 606358236294*lu1^5 + 6876554400860*lu1^6 + 4029777658200*lu1^7)*f40[t]* (g42[t] - I*g42n[t])))/(68136068*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar*f40[t]*((f42[t] - I*f42n[t])* (4*(14425758948 + 550741671167*lu1 - 11966893727703*lu1^2 - 55456951222025*lu1^3 + 1172773846355387*lu1^4 - 835573240251162*lu1^5 - 8533662759470492*lu1^6 + 2826476798563320*lu1^7)*f40[t] - (-13166981013 - 762482647994*lu1 - 10078111969338*lu1^2 + 155464948899728*lu1^ 3 + 2432360371054675*lu1^4 + 4472227973501802*lu1^5 + 882182622764420*lu1^6 + 2529489989966520*lu1^7)*g40[t]) + 68*(9333573 - 460685150*lu1 + 2866063434*lu1^2 + 99652261880*lu1^3 - 904679670851*lu1^4 - 6055410726090*lu1^5 + 57302805885788*lu1^6 + 117994065215880*lu1^7)*f40[t]* (g42[t] - I*g42n[t])))/(68136068*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (45*lu1*mar*f40[t]*(2*(f42[t] - I*f42n[t])* (10*(4303261977 + 282665829391*lu1 - 4094424254739*lu1^2 - 23646241048891*lu1^3 + 269876375453950*lu1^4 - 111951366303312*lu1^5 + 2232923855231336*lu1^6 + 5263814727590160*lu1^7)*f40[t] + 3*(-5709292557 - 303775011559*lu1 + 1547542683831*lu1^2 + 98252697063967*lu1^3 + 131561007079778*lu1^4 - 4759246596450924*lu1^5 - 950037118238360*lu1^6 + 16894679274916800*lu1^7)*g40[t]) - 45*(-1530560541 - 74621531780*lu1 - 502424129472*lu1^2 + 17857769413814*lu1^3 + 149142152829937*lu1^4 - 131494914875226*lu1^5 + 276053199940268*lu1^6 + 1907789418021480*lu1^7)*f40[t]*(g42[t] - I*g42n[t])))/ (68136068*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar*f40[t]* (4*(f42[t] - I*f42n[t])*((14425758948 + 550741671167*lu1 - 11966893727703*lu1^2 - 55456951222025*lu1^3 + 1172773846355387* lu1^4 - 835573240251162*lu1^5 - 8533662759470492*lu1^6 + 2826476798563320*lu1^7)*f40[t] + (-2151627249 - 84423245633*lu1 + 1351327268265*lu1^2 + 19006905474461*lu1^3 - 85446138769244*lu1^4 - 674154184590216*lu1^5 + 1451409916725632*lu1^6 + 4454024081923920*lu1^7)*g40[t]) - 3*(-7469390991 - 356283013442*lu1 - 1622565069930*lu1^2 + 74905405663244*lu1^3 + 717364677865189*lu1^4 + 729126388171686*lu1^5 + 930410496477788*lu1^6 + 4107329960994120*lu1^7)*f40[t]*(g42[t] - I*g42n[t])))/ (68136068*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (5*(-1 + 5*lu1)*mar*f40[t]* ((f42[t] - I*f42n[t])*(-8*(15950708667 - 861403434381*lu1 - 88455855991568*lu1^2 + 1061658966235758*lu1^3 + 41596642494622559*lu1^4 - 97858415060220509*lu1^5 - 3203882209766300706*lu1^6 - 1317967860323759428*lu1^7 + 63448277301462102840*lu1^8 + 99352287986284317600*lu1^9)* f40[t] + (145038805893 + 8515080223083*lu1 + 11263607316754*lu1^ 2 - 3443293301822418*lu1^3 - 70514556366725479*lu1^4 - 631446115557245441*lu1^5 - 2429038702547740080*lu1^6 - 9838378546661774200*lu1^7 + 13697458312854057840*lu1^8 + 47072425409007490800*lu1^9)*g40[t]) + 45045*(272475 - 8665425*lu1 - 796694042*lu1^2 + 17397717918*lu1^3 + 544605683039*lu1^4 - 6411282128933*lu1^5 - 84707873860464*lu1^6 + 269545031527784*lu1^7 + 1959697495501200*lu1^8 + 2282346696999600*lu1^9)*f40[t]*(g42[t] - I*g42n[t])))/ (102204102*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (45*lu1*mar*f40[t]*(5*(f42[t] - I*f42n[t])* (4*(-10613964081 - 139414327379*lu1 + 7532537448930*lu1^2 - 4224654443742*lu1^3 + 120176449710459*lu1^4 + 37460693167056385* lu1^5 - 39482157282221052*lu1^6 - 1662446779099474672*lu1^7 - 216737356562431040*lu1^8 + 5982716955193162800*lu1^9)*f40[t] + (-9083078529 - 948923387089*lu1 - 11941055753786*lu1^2 + 511641377382430*lu1^3 + 8955049846352275*lu1^4 + 16870935266271787*lu1^5 - 108499791716913128*lu1^6 + 354423787689154808*lu1^7 + 5044346706465526320*lu1^8 + 7504574309612780400*lu1^9)*g40[t]) - 1001*(4971303 + 141371127*lu1 - 8981449522*lu1^2 - 205545159906*lu1^3 + 4260023946667*lu1^4 + 72053717837747*lu1^5 - 762050297499408*lu1^6 - 6791253296348120*lu1^7 + 36369867536830800*lu1^8 + 92803778778942000*lu1^9)*f40[t]* (g42[t] - I*g42n[t])))/(34068034*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (115248*mar*(f42[t] - I*f42n[t])* (3*(f42[t] - I*f42n[t])*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f42[t] + I*f42n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)* (g42[t] + I*g42n[t])) + 2*(42 + 451*lu1 - 6515*lu1^2 - 364698*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (74088*mar*(f42[t] + I*f42n[t])*(3*(f42[t] - I*f42n[t])* ((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)* (f42[t] + I*f42n[t]) - (-15 + 1844*lu1 + 22969*lu1^2 + 613922*lu1^3)*(g42[t] + I*g42n[t])) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(31603*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (40*mar*(f42[t] - I*f42n[t])*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)* (f42[t] + I*f42n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(g42[t] + I*g42n[t])) + (195 + 9772*lu1 - 51693*lu1^2 - 145474*lu1^3)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(5929*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (40*mar*(f42[t] - I*f42n[t])* ((f42[t] - I*f42n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f42[t] + I*f42n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(g42[t] + I*g42n[t])) + (2499 + 45370*lu1 + 15435*lu1^2 - 141448*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])))/ (5929*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (40*mar*(f42[t] + I*f42n[t])*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)* (f42[t] + I*f42n[t]) + (195 + 9772*lu1 - 51693*lu1^2 - 145474*lu1^3)*(g42[t] + I*g42n[t])) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(5929*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (1215*mar*(f42[t] + I*f42n[t])* ((f42[t] - I*f42n[t])*(-2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f42[t] + I*f42n[t]) + 5*(107 + 2548*lu1 + 11591*lu1^2 - 14502*lu1^3)*(g42[t] + I*g42n[t])) + 8*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(33124*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (40*mar*(f42[t] + I*f42n[t])*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)* (f42[t] + I*f42n[t]) + (2499 + 45370*lu1 + 15435*lu1^2 - 141448*lu1^3)*(g42[t] + I*g42n[t])) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(5929*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (mar*(f42[t] + I*f42n[t])* ((f42[t] - I*f42n[t])*((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f42[t] + I*f42n[t]) + (5829 + 255026*lu1 + 1345181*lu1^2 + 5585580*lu1^3)* (g42[t] + I*g42n[t])) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])))/ (26*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (54675*mar*(f42[t] - I*f42n[t])*((f42[t] - I*f42n[t])* (2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)* (f42[t] + I*f42n[t]) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*(g42[t] + I*g42n[t])) - 10*(51 + 1214*lu1 + 6763*lu1^2 + 5924*lu1^3)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(286286*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (115248*mar*(f42[t] + I*f42n[t])*((f42[t] - I*f42n[t])* (-6*(21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)* (f42[t] + I*f42n[t]) + (51 + 5830*lu1 + 34117*lu1^2 + 2152962*lu1^3)*(g42[t] + I*g42n[t])) + 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (63*mar*(f42[t] - I*f42n[t])*((f42[t] - I*f42n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)* (f42[t] + I*f42n[t]) + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)*(g42[t] + I*g42n[t])) - 630*(8 + 401*lu1 + 2600*lu1^2 + 12863*lu1^3)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (1215*mar*(f42[t] - I*f42n[t])* (2*(f42[t] - I*f42n[t])*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f42[t] + I*f42n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*(g42[t] + I*g42n[t])) + 5*(-107 - 2548*lu1 - 11591*lu1^2 + 14502*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])))/ (33124*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (1215*mar*(f42[t] + I*f42n[t])*((f42[t] - I*f42n[t])* (2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)* (f42[t] + I*f42n[t]) + 3*(-3 - 200*lu1 + 2057*lu1^2 + 37570*lu1^3)*(g42[t] + I*g42n[t])) - 2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(33124*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (mar*(f42[t] + I*f42n[t])*((f42[t] - I*f42n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)* (f42[t] + I*f42n[t]) + (471 + 1804*lu1 - 12521*lu1^2 + 304710*lu1^3)*(g42[t] + I*g42n[t])) - 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(26*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (1215*mar*(f42[t] - I*f42n[t])* (2*(f42[t] - I*f42n[t])*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f42[t] + I*f42n[t]) - (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(g42[t] + I*g42n[t])) + 3*(-3 - 200*lu1 + 2057*lu1^2 + 37570*lu1^3)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(33124*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (54675*mar*(f42[t] + I*f42n[t])*(2*(f42[t] - I*f42n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)* (f42[t] + I*f42n[t]) - 5*(51 + 1214*lu1 + 6763*lu1^2 + 5924*lu1^3)*(g42[t] + I*g42n[t])) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(286286*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (mar*(f42[t] - I*f42n[t])*((f42[t] - I*f42n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)* (f42[t] + I*f42n[t]) - 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(g42[t] + I*g42n[t])) + (471 + 1804*lu1 - 12521*lu1^2 + 304710*lu1^3)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(26*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (115248*mar*(f42[t] + I*f42n[t])* (2*(f42[t] - I*f42n[t])*((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f42[t] + I*f42n[t]) + (42 + 451*lu1 - 6515*lu1^2 - 364698*lu1^3)*(g42[t] + I*g42n[t])) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (74088*mar*(f42[t] - I*f42n[t])*(2*(f42[t] - I*f42n[t])* ((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)* (f42[t] + I*f42n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(g42[t] + I*g42n[t])) - 3*(-15 + 1844*lu1 + 22969*lu1^2 + 613922*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])))/ (31603*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (63*mar*(f42[t] + I*f42n[t])*((f42[t] - I*f42n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)* (f42[t] + I*f42n[t]) - 630*(8 + 401*lu1 + 2600*lu1^2 + 12863*lu1^3)*(g42[t] + I*g42n[t])) + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (115248*mar*(f42[t] - I*f42n[t])*(6*(f42[t] - I*f42n[t])* ((21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)* (f42[t] + I*f42n[t]) - 5*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)* (g42[t] + I*g42n[t])) - (51 + 5830*lu1 + 34117*lu1^2 + 2152962*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (mar*(f42[t] - I*f42n[t])*((f42[t] - I*f42n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)* (f42[t] + I*f42n[t]) - 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(g42[t] + I*g42n[t])) - (5829 + 255026*lu1 + 1345181*lu1^2 + 5585580*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])))/ (26*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (225*lu1*mar*(f42[t] - I*f42n[t])*(2*(f42[t] - I*f42n[t])* (2*(298928586 + 32778629215*lu1 - 193954854503*lu1^2 - 16006403434437*lu1^3 - 144021941391203*lu1^4 - 3691971610029662*lu1^5 - 7663813248401604*lu1^6 + 72612768776897160*lu1^7)*(f42[t] + I*f42n[t]) + 143*(-4447947 - 168723889*lu1 + 5672193761*lu1^2 + 222287427657*lu1^3 - 391572628642*lu1^4 - 51254516008804*lu1^ 5 - 266212597026600*lu1^6 + 540342520502400*lu1^7)* (g42[t] + I*g42n[t])) + (1875887661 + 98139284848*lu1 + 226385719660*lu1^2 - 78602653522962*lu1^3 - 1345405321785389* lu1^4 - 1953974103721670*lu1^5 + 17941155356817252*lu1^6 - 147909896942469480*lu1^7)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])* ((f42[t] - I*f42n[t])*(4*(573372681 + 48571002851*lu1 - 655547641159*lu1^2 - 37271565646551*lu1^3 + 173952231327938*lu1^ 4 - 1890106642740952*lu1^5 - 74424684847707432*lu1^6 + 78145566163040880*lu1^7)*(f42[t] + I*f42n[t]) - (-2227303041 - 98680984838*lu1 + 72522610282*lu1^2 + 64761050537604*lu1^3 + 1531983586978507*lu1^4 + 13269392814228082*lu1^5 + 27515533060201284*lu1^6 + 13802297602607640*lu1^7)*(g42[t] + I*g42n[t])) + 1144*(-1288488 - 37978855*lu1 + 1901429435*lu1^2 + 46808239797*lu1^3 - 408109183867*lu1^4 - 9675993161578*lu1^5 - 24779163294900*lu1^6 + 58853019871800*lu1^7)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (225*lu1*mar*(f42[t] + I*f42n[t])*((f42[t] - I*f42n[t])* (4*(298928586 + 32778629215*lu1 - 193954854503*lu1^2 - 16006403434437*lu1^3 - 144021941391203*lu1^4 - 3691971610029662*lu1^5 - 7663813248401604*lu1^6 + 72612768776897160*lu1^7)*(f42[t] + I*f42n[t]) + (1875887661 + 98139284848*lu1 + 226385719660*lu1^2 - 78602653522962*lu1^3 - 1345405321785389*lu1^4 - 1953974103721670*lu1^5 + 17941155356817252*lu1^6 - 147909896942469480*lu1^7)*(g42[t] + I*g42n[t])) + 286*(-4447947 - 168723889*lu1 + 5672193761*lu1^2 + 222287427657*lu1^3 - 391572628642*lu1^4 - 51254516008804*lu1^5 - 266212597026600*lu1^6 + 540342520502400*lu1^7)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (4*(f42[t] - I*f42n[t])*((573372681 + 48571002851*lu1 - 655547641159*lu1^2 - 37271565646551*lu1^3 + 173952231327938*lu1^ 4 - 1890106642740952*lu1^5 - 74424684847707432*lu1^6 + 78145566163040880*lu1^7)*(f42[t] + I*f42n[t]) + 286*(-1288488 - 37978855*lu1 + 1901429435*lu1^2 + 46808239797*lu1^3 - 408109183867*lu1^4 - 9675993161578*lu1^5 - 24779163294900*lu1^6 + 58853019871800*lu1^7)* (g42[t] + I*g42n[t])) - (-2227303041 - 98680984838*lu1 + 72522610282*lu1^2 + 64761050537604*lu1^3 + 1531983586978507* lu1^4 + 13269392814228082*lu1^5 + 27515533060201284*lu1^6 + 13802297602607640*lu1^7)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (5*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* ((f42[t] - I*f42n[t])*(4*(198864079443 + 9135301364406*lu1 - 259844133158714*lu1^2 - 7611355246807488*lu1^3 + 141899631706389707*lu1^4 + 295554148466329642*lu1^5 - 17610681805324278300*lu1^6 + 22745701050243880856*lu1^7 + 281765054396474240256*lu1^8 + 315920813467361477760*lu1^9)* (f42[t] + I*f42n[t]) + 3*(136560262329 + 6375016970031*lu1 - 20668929316838*lu1^2 - 3384630730697802*lu1^3 - 46749252785452867*lu1^4 + 86156256807156307*lu1^5 + 3606691971487011504*lu1^6 + 5789333863743038120*lu1^7 + 18099781516785668784*lu1^8 + 40793117243559413040*lu1^9)* (g42[t] + I*g42n[t])) + 2*(-30639361581 - 617065568757*lu1 + 60191240472950*lu1^2 + 312234983586822*lu1^3 - 33824005824034649* lu1^4 + 29747243629350071*lu1^5 + 4668991645921889760*lu1^6 + 2517317751118653352*lu1^7 - 128929296125460705840*lu1^8 - 231161492704170243600*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(204408204*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (225*lu1*mar*(f42[t] - I*f42n[t])* (4*(f42[t] - I*f42n[t])*((13363700574 + 555833664725*lu1 - 9781671842748*lu1^2 - 199035726369666*lu1^3 + 190634809862010* lu1^4 - 12929020543406587*lu1^5 - 16118178647071620*lu1^6 + 178305792244967344*lu1^7 + 2927288844627984368*lu1^8 + 5777942479849127280*lu1^9)*(f42[t] + I*f42n[t]) + 17*(-3301686 - 1229089593*lu1 - 17690625168*lu1^2 + 636754933562*lu1^3 + 14213751925246*lu1^4 - 80247204122209*lu1^ 5 - 2690050925950912*lu1^6 - 4080983581433384*lu1^7 + 93459910557799520*lu1^8 + 182439859575111600*lu1^9)* (g42[t] + I*g42n[t])) + (21996903867 + 1751811373897*lu1 + 27356323286038*lu1^2 - 840506656369958*lu1^3 - 19609800080583353* lu1^4 - 24003156126848715*lu1^5 + 1278420512405777512*lu1^6 + 5230907845837008360*lu1^7 - 13094702593521851344*lu1^8 - 37230480915944371440*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(68136068*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (225*lu1*mar*(f42[t] + I*f42n[t])* ((f42[t] - I*f42n[t])*(4*(13363700574 + 555833664725*lu1 - 9781671842748*lu1^2 - 199035726369666*lu1^3 + 190634809862010* lu1^4 - 12929020543406587*lu1^5 - 16118178647071620*lu1^6 + 178305792244967344*lu1^7 + 2927288844627984368*lu1^8 + 5777942479849127280*lu1^9)*(f42[t] + I*f42n[t]) + (21996903867 + 1751811373897*lu1 + 27356323286038*lu1^2 - 840506656369958*lu1^3 - 19609800080583353*lu1^4 - 24003156126848715*lu1^5 + 1278420512405777512*lu1^6 + 5230907845837008360*lu1^7 - 13094702593521851344*lu1^8 - 37230480915944371440*lu1^9)*(g42[t] + I*g42n[t])) + 68*(-3301686 - 1229089593*lu1 - 17690625168*lu1^2 + 636754933562*lu1^3 + 14213751925246*lu1^4 - 80247204122209* lu1^5 - 2690050925950912*lu1^6 - 4080983581433384*lu1^7 + 93459910557799520*lu1^8 + 182439859575111600*lu1^9)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])))/ (68136068*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (5*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])* ((f42[t] - I*f42n[t])*(4*(198864079443 + 9135301364406*lu1 - 259844133158714*lu1^2 - 7611355246807488*lu1^3 + 141899631706389707*lu1^4 + 295554148466329642*lu1^5 - 17610681805324278300*lu1^6 + 22745701050243880856*lu1^7 + 281765054396474240256*lu1^8 + 315920813467361477760*lu1^9)* (f42[t] + I*f42n[t]) - 3*(-120671467407 - 6367331626365*lu1 - 14488184462950*lu1^2 + 3540814706297454*lu1^3 + 65756331042806053*lu1^4 - 177494939392184185*lu1^5 - 6178112946866491728*lu1^6 - 2939074502537285624*lu1^7 + 45033951385331808816*lu1^8 + 55557099021025269360*lu1^9)* (g42[t] + I*g42n[t])) - 68*(200181447 + 17809928037*lu1 - 219281464802*lu1^2 - 16073851381950*lu1^3 + 156276130529555* lu1^4 + 3154728830829169*lu1^5 - 23878240672137336*lu1^6 - 199785493909625944*lu1^7 + 1006726375655426160*lu1^8 + 2548122597273330000*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(204408204*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (225*lu1*mar*(f42[t] - I*f42n[t])* ((f42[t] - I*f42n[t])*(4*(13363700574 + 555833664725*lu1 - 9781671842748*lu1^2 - 199035726369666*lu1^3 + 190634809862010* lu1^4 - 12929020543406587*lu1^5 - 16118178647071620*lu1^6 + 178305792244967344*lu1^7 + 2927288844627984368*lu1^8 + 5777942479849127280*lu1^9)*(f42[t] + I*f42n[t]) + (34844386515 + 2170379081455*lu1 + 7798648581470*lu1^2 - 1408644963246098*lu1^3 - 14128037630419353*lu1^4 + 134174525485908091*lu1^5 + 980065462146927928*lu1^6 - 3667454576158934536*lu1^7 + 3086803296494815856*lu1^8 + 26017470536458946160*lu1^9)*(g42[t] + I*g42n[t])) - 2*(6535998648 + 251072899941*lu1 - 9177356096572*lu1^2 - 305718821179178*lu1^3 + 2257613659623636*lu1^4 + 81817245746533509*lu1^5 - 57715793647093784*lu1^6 - 4310427769229236392*lu1^7 + 4913115986043149920*lu1^8 + 25421020500647864400*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(68136068*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (225*lu1*mar*(f42[t] + I*f42n[t])* (2*(f42[t] - I*f42n[t])*(2*(13363700574 + 555833664725*lu1 - 9781671842748*lu1^2 - 199035726369666*lu1^3 + 190634809862010* lu1^4 - 12929020543406587*lu1^5 - 16118178647071620*lu1^6 + 178305792244967344*lu1^7 + 2927288844627984368*lu1^8 + 5777942479849127280*lu1^9)*(f42[t] + I*f42n[t]) - (6535998648 + 251072899941*lu1 - 9177356096572*lu1^2 - 305718821179178*lu1^3 + 2257613659623636*lu1^4 + 81817245746533509*lu1^5 - 57715793647093784*lu1^6 - 4310427769229236392*lu1^7 + 4913115986043149920*lu1^8 + 25421020500647864400*lu1^9)*(g42[t] + I*g42n[t])) + (34844386515 + 2170379081455*lu1 + 7798648581470*lu1^2 - 1408644963246098*lu1^3 - 14128037630419353*lu1^4 + 134174525485908091*lu1^5 + 980065462146927928*lu1^6 - 3667454576158934536*lu1^7 + 3086803296494815856*lu1^8 + 26017470536458946160*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(68136068*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (5*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])* (2*(f42[t] - I*f42n[t])*(2*(198864079443 + 9135301364406*lu1 - 259844133158714*lu1^2 - 7611355246807488*lu1^3 + 141899631706389707*lu1^4 + 295554148466329642*lu1^5 - 17610681805324278300*lu1^6 + 22745701050243880856*lu1^7 + 281765054396474240256*lu1^8 + 315920813467361477760*lu1^9)* (f42[t] + I*f42n[t]) + (-30639361581 - 617065568757*lu1 + 60191240472950*lu1^2 + 312234983586822*lu1^3 - 33824005824034649*lu1^4 + 29747243629350071*lu1^5 + 4668991645921889760*lu1^6 + 2517317751118653352*lu1^7 - 128929296125460705840*lu1^8 - 231161492704170243600*lu1^9)* (g42[t] + I*g42n[t])) + 3*(136560262329 + 6375016970031*lu1 - 20668929316838*lu1^2 - 3384630730697802*lu1^3 - 46749252785452867*lu1^4 + 86156256807156307*lu1^5 + 3606691971487011504*lu1^6 + 5789333863743038120*lu1^7 + 18099781516785668784*lu1^8 + 40793117243559413040*lu1^9)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])))/ (204408204*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (5*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (4*(f42[t] - I*f42n[t])*((198864079443 + 9135301364406*lu1 - 259844133158714*lu1^2 - 7611355246807488*lu1^3 + 141899631706389707*lu1^4 + 295554148466329642*lu1^5 - 17610681805324278300*lu1^6 + 22745701050243880856*lu1^7 + 281765054396474240256*lu1^8 + 315920813467361477760*lu1^9)* (f42[t] + I*f42n[t]) - 17*(200181447 + 17809928037*lu1 - 219281464802*lu1^2 - 16073851381950*lu1^3 + 156276130529555*lu1^ 4 + 3154728830829169*lu1^5 - 23878240672137336*lu1^6 - 199785493909625944*lu1^7 + 1006726375655426160*lu1^8 + 2548122597273330000*lu1^9)*(g42[t] + I*g42n[t])) - 3*(-120671467407 - 6367331626365*lu1 - 14488184462950*lu1^2 + 3540814706297454*lu1^3 + 65756331042806053*lu1^4 - 177494939392184185*lu1^5 - 6178112946866491728*lu1^6 - 2939074502537285624*lu1^7 + 45033951385331808816*lu1^8 + 55557099021025269360*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])))/(204408204*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (10*mar*f20[t]^2* ((-50 + 4*lu1)*(f42[t] + I*f42n[t]) + 7*(1 + lu1)* (g42[t] + I*g42n[t])))/(7*(3 + 32*lu1 + 20*lu1^2)*Pi) + (25*mar*(f22[t] - I*f22n[t])^2*((-50 + 4*lu1)*(f42[t] + I*f42n[t]) + 7*(1 + lu1)*(g42[t] + I*g42n[t])))/(14*(3 + 32*lu1 + 20*lu1^2)* Pi) - (25*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* ((-50 + 4*lu1)*(f42[t] + I*f42n[t]) + 7*(1 + lu1)* (g42[t] + I*g42n[t])))/(14*(3 + 32*lu1 + 20*lu1^2)*Pi) - (45*Sqrt[5]*mar*f20[t]*f40[t]*((-50 + 4*lu1)*(f42[t] + I*f42n[t]) + 7*(1 + lu1)*(g42[t] + I*g42n[t])))/(77*(3 + 32*lu1 + 20*lu1^2)* Pi) + (195*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-50 + 4*lu1)*(f42[t] + I*f42n[t]) + 7*(1 + lu1)* (g42[t] + I*g42n[t])))/(154*(3 + 32*lu1 + 20*lu1^2)*Pi) - (195*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* ((-50 + 4*lu1)*(f42[t] + I*f42n[t]) + 7*(1 + lu1)* (g42[t] + I*g42n[t])))/(154*(3 + 32*lu1 + 20*lu1^2)*Pi) + (45*Sqrt[2/7]*mar*f20[t]*(f44[t] - I*f44n[t])* ((-50 + 4*lu1)*(f42[t] + I*f42n[t]) + 7*(1 + lu1)* (g42[t] + I*g42n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) - (15*mar*f20[t]^2*(4*(-5 + 64*lu1)*(f42[t] + I*f42n[t]) - (1 + 67*lu1)*(g42[t] + I*g42n[t])))/(2*(-1 + 7*lu1 + 170*lu1^2)* Pi) - (15*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (4*(-5 + 64*lu1)*(f42[t] + I*f42n[t]) - (1 + 67*lu1)* (g42[t] + I*g42n[t])))/((-1 + 7*lu1 + 170*lu1^2)*Pi) - (15*mar*f40[t]^2*(4*(-5 + 64*lu1)*(f42[t] + I*f42n[t]) - (1 + 67*lu1)*(g42[t] + I*g42n[t])))/(2*(-1 + 7*lu1 + 170*lu1^2)* Pi) - (15*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (4*(-5 + 64*lu1)*(f42[t] + I*f42n[t]) - (1 + 67*lu1)* (g42[t] + I*g42n[t])))/((-1 + 7*lu1 + 170*lu1^2)*Pi) - (15*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (4*(-5 + 64*lu1)*(f42[t] + I*f42n[t]) - (1 + 67*lu1)* (g42[t] + I*g42n[t])))/((-1 + 7*lu1 + 170*lu1^2)*Pi) + (7*mar*f20[t]^2*(4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] + I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] + I*g42n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (5*mar*(f22[t] - I*f22n[t])^2*(4*(-17 + 323*lu1 + 16*lu1^2)* (f42[t] + I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)* (g42[t] + I*g42n[t])))/(11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) + (19*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] + I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] + I*g42n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (63*Sqrt[5]*mar*f20[t]*f40[t]*(4*(-17 + 323*lu1 + 16*lu1^2)* (f42[t] + I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)* (g42[t] + I*g42n[t])))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) + (30*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] + I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] + I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (30*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] + I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] + I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (45*Sqrt[14]*mar*f20[t]*(f44[t] - I*f44n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] + I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] + I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (100*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])^2* ((46 - 394*lu1 + 532*lu1^2)*(f42[t] + I*f42n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g42[t] + I*g42n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (100*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((46 - 394*lu1 + 532*lu1^2)*(f42[t] + I*f42n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g42[t] + I*g42n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (7350*mar*f40[t]^2*((47 - 1265*lu1 + 794*lu1^2)*(f42[t] + I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g42[t] + I*g42n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (6860*mar*(f42[t] - I*f42n[t])^2*((47 - 1265*lu1 + 794*lu1^2)* (f42[t] + I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)* (g42[t] + I*g42n[t])))/(20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)* Pi) - (6860*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f42[t] + I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g42[t] + I*g42n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (630*Sqrt[70]*mar*f40[t]*(f44[t] - I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f42[t] + I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g42[t] + I*g42n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (15960*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f42[t] + I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g42[t] + I*g42n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (15*Sqrt[5]*mar*f20[t]*f40[t]*((-95 + 497*lu1 + 2374*lu1^2)* (f42[t] + I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)* (g42[t] + I*g42n[t])))/(77*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)* Pi) - (675*mar*f40[t]^2*((-95 + 497*lu1 + 2374*lu1^2)* (f42[t] + I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)* (g42[t] + I*g42n[t])))/(1694*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)* Pi) + (65*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] + I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] + I*g42n[t])))/ (154*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (65*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] + I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] + I*g42n[t])))/ (154*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (1521*mar*(f42[t] - I*f42n[t])^2*((-95 + 497*lu1 + 2374*lu1^2)* (f42[t] + I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)* (g42[t] + I*g42n[t])))/(1694*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)* Pi) - (1521*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] + I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] + I*g42n[t])))/ (1694*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (15*Sqrt[2/7]*mar*f20[t]*(f44[t] - I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] + I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] + I*g42n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (135*Sqrt[10/7]*mar*f40[t]*(f44[t] - I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] + I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] + I*g42n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (135*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] + I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] + I*g42n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (21*Sqrt[5]*mar*f20[t]*f40[t]*((-41 - 817*lu1 + 1978*lu1^2)* (f42[t] + I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)* (g42[t] + I*g42n[t])))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) - (945*mar*f40[t]^2*((-41 - 817*lu1 + 1978*lu1^2)* (f42[t] + I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)* (g42[t] + I*g42n[t])))/(1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) - (10*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] + I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] + I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (10*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] + I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] + I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (180*mar*(f42[t] - I*f42n[t])^2*((-41 - 817*lu1 + 1978*lu1^2)* (f42[t] + I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)* (g42[t] + I*g42n[t])))/(1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) - (180*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] + I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] + I*g42n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (15*Sqrt[14]*mar*f20[t]*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] + I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] + I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (270*Sqrt[70]*mar*f40[t]*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] + I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] + I*g42n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (1350*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] + I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] + I*g42n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (35*lu1*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (2*(2199 - 2365*lu1 - 78146*lu1^2 + 42248*lu1^3)* (f42[t] + I*f42n[t]) + (2067 + 25594*lu1 + 7613*lu1^2 - 13322*lu1^3)*(g42[t] + I*g42n[t])))/(11*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (1575*lu1*mar*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(2*(1238 + 281*lu1 - 57809*lu1^2 + 51202*lu1^3)* (f42[t] + I*f42n[t]) + 9*(141 + 1610*lu1 + 315*lu1^2 - 722*lu1^3)* (g42[t] + I*g42n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) - (315*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*((514 + 208*lu1 - 38998*lu1^2 + 30644*lu1^3)* (f42[t] + I*f42n[t]) + 9*(27 + 284*lu1 + 99*lu1^2 + 598*lu1^3)* (g42[t] + I*g42n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) - (7*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (f22[t] + I*f22n[t])*(2*(449 - 1147*lu1 - 32198*lu1^2 + 5848*lu1^3)* (f42[t] + I*f42n[t]) + (289 + 3964*lu1 + 5513*lu1^2 + 6698*lu1^3)* (g42[t] + I*g42n[t])))/(11*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*((823266 + 3966802*lu1 - 20749284*lu1^2 - 33930192*lu1^3 + 24026368*lu1^4)*(f42[t] + I*f42n[t]) + (565065 + 6657688*lu1 + 6468363*lu1^2 - 4249020*lu1^3 - 1570736*lu1^4)*(g42[t] + I*g42n[t])))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* ((823266 + 3966802*lu1 - 20749284*lu1^2 - 33930192*lu1^3 + 24026368*lu1^4)*(f42[t] + I*f42n[t]) + (565065 + 6657688*lu1 + 6468363*lu1^2 - 4249020*lu1^3 - 1570736*lu1^4)*(g42[t] + I*g42n[t])))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (225*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((397038 - 2701314*lu1 - 7052092*lu1^2 - 3806384*lu1^3 + 4919552*lu1^4)*(f42[t] + I*f42n[t]) + (92703 + 1914984*lu1 + 2277341*lu1^2 - 982964*lu1^3 - 793264*lu1^4)* (g42[t] + I*g42n[t])))/(4004*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (225*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* ((397038 - 2701314*lu1 - 7052092*lu1^2 - 3806384*lu1^3 + 4919552*lu1^4)*(f42[t] + I*f42n[t]) + (92703 + 1914984*lu1 + 2277341*lu1^2 - 982964*lu1^3 - 793264*lu1^4)* (g42[t] + I*g42n[t])))/(4004*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (75*lu1*mar*(f22[t] - I*f22n[t])^2* (2*(115431 - 460341*lu1 - 2990114*lu1^2 - 847024*lu1^3 + 1451488*lu1^4)*(f42[t] + I*f42n[t]) + (77943 + 1246608*lu1 + 1311461*lu1^2 - 510500*lu1^3 - 463432*lu1^4)* (g42[t] + I*g42n[t])))/(308*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (75*lu1*mar*(f22[t] - I*f22n[t])* (f22[t] + I*f22n[t])*(2*(115431 - 460341*lu1 - 2990114*lu1^2 - 847024*lu1^3 + 1451488*lu1^4)*(f42[t] + I*f42n[t]) + (77943 + 1246608*lu1 + 1311461*lu1^2 - 510500*lu1^3 - 463432*lu1^4)* (g42[t] + I*g42n[t])))/(308*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*lu1*mar*f20[t]^2*(2*(92347 - 313187*lu1 - 2551468*lu1^2 - 633628*lu1^3 + 1164816*lu1^4)*(f42[t] + I*f42n[t]) + (66431 + 1019876*lu1 + 1047037*lu1^2 - 398060*lu1^3 - 371124*lu1^4)* (g42[t] + I*g42n[t])))/(154*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (405*Sqrt[5]*lu1*mar*f20[t]*f40[t]* (2*(34631 - 95536*lu1 - 1020189*lu1^2 - 220114*lu1^3 + 438248*lu1^4)* (f42[t] + I*f42n[t]) + (26533 + 391438*lu1 + 391791*lu1^2 - 145160*lu1^3 - 139322*lu1^4)*(g42[t] + I*g42n[t])))/ (1001*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (15*Sqrt[2/7]*(-1 + 5*lu1)*mar*f20[t]*(f44[t] - I*f44n[t])* (2*(7974 - 66059*lu1 + 383319*lu1^2 - 340014*lu1^3 + 282040*lu1^4)* (f42[t] + I*f42n[t]) + (4338 + 103067*lu1 + 101763*lu1^2 - 266298*lu1^3 - 105550*lu1^4)*(g42[t] + I*g42n[t])))/ (143*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (675*Sqrt[2/7]*lu1*mar*f20[t]*(f44[t] - I*f44n[t])* (2*(2307 - 49770*lu1 + 57557*lu1^2 - 49334*lu1^3 + 26360*lu1^4)* (f42[t] + I*f42n[t]) + (-1443 + 8298*lu1 + 27799*lu1^2 - 17824*lu1^3 - 8990*lu1^4)*(g42[t] + I*g42n[t])))/ (143*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (225*Sqrt[2/7]*lu1*mar*f20[t]*(f44[t] - I*f44n[t])* ((6492 - 200970*lu1 + 269896*lu1^2 + 490082*lu1^3 + 752740*lu1^4)* (f42[t] + I*f42n[t]) + (-4749 + 2340*lu1 + 109423*lu1^2 - 271774*lu1^3 + 78520*lu1^4)*(g42[t] + I*g42n[t])))/ (143*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (15*Sqrt[2/7]*(-1 + 5*lu1)*mar*f20[t]*(f44[t] - I*f44n[t])* (2*(4950 - 67718*lu1 + 201795*lu1^2 + 466407*lu1^3 + 624970*lu1^4)* (f42[t] + I*f42n[t]) + (936 + 46241*lu1 - 9915*lu1^2 - 437742*lu1^3 + 155480*lu1^4)*(g42[t] + I*g42n[t])))/ (143*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*f20[t]*f40[t]* (2*(176076 + 2136995*lu1 - 11644029*lu1^2 - 7116558*lu1^3 + 4530296*lu1^4)*(f42[t] + I*f42n[t]) + (323208 + 3167299*lu1 + 3057165*lu1^2 + 451662*lu1^3 + 254626*lu1^4)*(g42[t] + I*g42n[t])))/(1001*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*Sqrt[5]*lu1*mar*f20[t]*f40[t]* (2*(509394 - 3673887*lu1 - 7123666*lu1^2 + 7371037*lu1^3 + 8407922*lu1^4)*(f42[t] + I*f42n[t]) + (261393 + 4714944*lu1 + 695473*lu1^2 - 3359722*lu1^3 + 329992*lu1^4)*(g42[t] + I*g42n[t])))/(1001*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])^2* (2*(60273 - 137627*lu1 - 3587622*lu1^2 - 2783328*lu1^3 + 871264*lu1^4)*(f42[t] + I*f42n[t]) + (39033 + 597860*lu1 + 1152303*lu1^2 + 1080060*lu1^3 + 525464*lu1^4)* (g42[t] + I*g42n[t])))/(308*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (2*(60273 - 137627*lu1 - 3587622*lu1^2 - 2783328*lu1^3 + 871264*lu1^4)*(f42[t] + I*f42n[t]) + (39033 + 597860*lu1 + 1152303*lu1^2 + 1080060*lu1^3 + 525464*lu1^4)* (g42[t] + I*g42n[t])))/(308*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - ((-1 + 5*lu1)*mar*f20[t]^2* (2*(148833 - 328657*lu1 - 9251892*lu1^2 - 6550548*lu1^3 + 1988144*lu1^4)*(f42[t] + I*f42n[t]) + (96273 + 1457590*lu1 + 2818413*lu1^2 + 2813640*lu1^3 + 1332244*lu1^4)*(g42[t] + I*g42n[t])))/(154*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (75*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (2*(824142 - 7369803*lu1 - 8188961*lu1^2 + 15589814*lu1^3 + 19574728*lu1^4)*(f42[t] + I*f42n[t]) + (304233 + 7115706*lu1 + 3067535*lu1^2 - 10067402*lu1^3 + 1947608*lu1^4)*(g42[t] + I*g42n[t])))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (75*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (2*(824142 - 7369803*lu1 - 8188961*lu1^2 + 15589814*lu1^3 + 19574728*lu1^4)*(f42[t] + I*f42n[t]) + (304233 + 7115706*lu1 + 3067535*lu1^2 - 10067402*lu1^3 + 1947608*lu1^4)*(g42[t] + I*g42n[t])))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*f20[t]*f40[t]* (2*(256212 - 2098726*lu1 - 4120023*lu1^2 + 8262771*lu1^3 + 8790986*lu1^4)*(f42[t] + I*f42n[t]) + (120978 + 2110537*lu1 - 1380849*lu1^2 + 886278*lu1^3 + 3952936*lu1^4)*(g42[t] + I*g42n[t])))/ (1001*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((951786 - 8801744*lu1 - 4893654*lu1^2 + 42045372*lu1^3 + 49496848*lu1^4)*(f42[t] + I*f42n[t]) + (198783 + 4021264*lu1 - 2254701*lu1^2 - 6768810*lu1^3 + 8805784*lu1^4)*(g42[t] + I*g42n[t])))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* ((951786 - 8801744*lu1 - 4893654*lu1^2 + 42045372*lu1^3 + 49496848*lu1^4)*(f42[t] + I*f42n[t]) + (198783 + 4021264*lu1 - 2254701*lu1^2 - 6768810*lu1^3 + 8805784*lu1^4)*(g42[t] + I*g42n[t])))/ (4004*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (2025*lu1*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (2*(1261266 - 6363777*lu1 - 36465085*lu1^2 - 17941900*lu1^3 + 57899104*lu1^4 + 42451192*lu1^5)*(f42[t] + I*f42n[t]) + 3*(220177 + 4354036*lu1 + 8461475*lu1^2 - 1462060*lu1^3 - 5366892*lu1^4 + 519984*lu1^5)*(g42[t] + I*g42n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (675*Sqrt[5/14]*lu1*mar*f40[t]*(f44[t] - I*f44n[t])* (2*(-874134 + 4933323*lu1 + 8965007*lu1^2 + 26099888*lu1^3 + 27901516*lu1^4 + 40121440*lu1^5)*(f42[t] + I*f42n[t]) + 3*(-178095 - 3090156*lu1 - 1680349*lu1^2 + 4723364*lu1^3 - 9074204*lu1^4 + 2572720*lu1^5)*(g42[t] + I*g42n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*f40[t]*(f44[t] - I*f44n[t])* (2*(1063917 - 13401134*lu1 - 62025391*lu1^2 - 26149884*lu1^3 + 66670132*lu1^4 + 114103520*lu1^5)*(f42[t] + I*f42n[t]) + (-332649 + 5124506*lu1 + 41361679*lu1^2 + 11898156*lu1^3 - 103700812*lu1^4 + 11204080*lu1^5)*(g42[t] + I*g42n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (225*lu1*mar*f40[t]^2*(2*(242236314 - 657571149*lu1 - 8189160985*lu1^2 - 6463793200*lu1^3 + 10345240156*lu1^4 + 7978300864*lu1^5)*(f42[t] + I*f42n[t]) - 9*(-18495507 - 308365020*lu1 - 589574249*lu1^2 - 13595116*lu1^3 + 280666388*lu1^4 + 23778544*lu1^5)*(g42[t] + I*g42n[t])))/ (572572*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (45*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (2*(4847715 - 21954058*lu1 - 148107965*lu1^2 - 99469140*lu1^3 + 232074200*lu1^4 + 196828408*lu1^5)*(f42[t] + I*f42n[t]) + (2800953 + 50721166*lu1 + 80566121*lu1^2 - 48913356*lu1^3 - 36070532*lu1^4 + 49126928*lu1^5)*(g42[t] + I*g42n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (45*lu1*mar*(f42[t] - I*f42n[t])^2* (2*(1144192446 - 3967334991*lu1 - 37217255003*lu1^2 - 17545483512*lu1^3 + 71608463716*lu1^4 + 58952879904*lu1^5 + 5450885440*lu1^6)*(f42[t] + I*f42n[t]) - 15*(-47841735 - 850286076*lu1 - 1749895829*lu1^2 - 78932636*lu1^3 + 1152884996*lu1^4 + 87466160*lu1^5)*(g42[t] + I*g42n[t])))/ (572572*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (45*lu1*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (2*(1144192446 - 3967334991*lu1 - 37217255003*lu1^2 - 17545483512*lu1^3 + 71608463716*lu1^4 + 58952879904*lu1^5 + 5450885440*lu1^6)*(f42[t] + I*f42n[t]) - 15*(-47841735 - 850286076*lu1 - 1749895829*lu1^2 - 78932636*lu1^3 + 1152884996*lu1^4 + 87466160*lu1^5)*(g42[t] + I*g42n[t])))/ (572572*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (45*(-1 + 5*lu1)*mar*f40[t]^2* (2*(81947367 - 241581610*lu1 - 3151602669*lu1^2 - 2827517956*lu1^3 + 3955165164*lu1^4 + 3386280704*lu1^5)*(f42[t] + I*f42n[t]) + (55202949 + 891684958*lu1 + 1437391133*lu1^2 - 113520828*lu1^3 + 431170204*lu1^4 + 967062224*lu1^5)*(g42[t] + I*g42n[t])))/ (572572*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (3*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])^2* (2*(1635081183 - 7315738778*lu1 - 63646610749*lu1^2 - 57416625516*lu1^3 + 80079629788*lu1^4 + 98678719712*lu1^5 + 16352656320*lu1^6)*(f42[t] + I*f42n[t]) + 5*(174217401 + 3283926190*lu1 + 6435790745*lu1^2 - 403697100*lu1^3 - 2986926356*lu1^4 + 1984927760*lu1^5)* (g42[t] + I*g42n[t])))/(572572*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) - (3*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (2*(1635081183 - 7315738778*lu1 - 63646610749*lu1^2 - 57416625516*lu1^3 + 80079629788*lu1^4 + 98678719712*lu1^5 + 16352656320*lu1^6)*(f42[t] + I*f42n[t]) + 5*(174217401 + 3283926190*lu1 + 6435790745*lu1^2 - 403697100*lu1^3 - 2986926356*lu1^4 + 1984927760*lu1^5)* (g42[t] + I*g42n[t])))/(572572*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) + (10*(1 + lu1)*mar*f20[t]^2*(g42[t] - I*g42n[t]))/ (3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(1 + lu1)*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (g42[t] - I*g42n[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (10*(1 + lu1)*mar*f40[t]^2*(g42[t] - I*g42n[t]))/ (3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(1 + lu1)*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(1 + lu1)*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (10*(1 + lu1)*mar*f20[t]^2*(g42[t] + I*g42n[t]))/ (3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(1 + lu1)*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (g42[t] + I*g42n[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (10*(1 + lu1)*mar*f40[t]^2*(g42[t] + I*g42n[t]))/ (3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(1 + lu1)*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(1 + lu1)*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (5*mar*((217 + 3329*lu1 + 11590*lu1^2)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*g20[t] + 4*f20[t]*(30*(-1 - 9*lu1 + 10*lu1^2)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-1007 + 6741*lu1 + 6830*lu1^2)*(f44[t] - I*f44n[t]) + (43 - 1869*lu1 - 2830*lu1^2)*(g44[t] - I*g44n[t])))))/ (14*Sqrt[42]*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) - (5*Sqrt[3/14]*mar*(-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]* (30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f44[t] - I*f44n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g44[t] - I*g44n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (5*Sqrt[3/14]*mar*(30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]* (-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f44[t] - I*f44n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g44[t] - I*g44n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (5*(-1 + 5*lu1)*mar* (3*(-2061693 + 7710582*lu1 + 273374416*lu1^2 + 364193698*lu1^3 - 972368191*lu1^4 - 1118951944*lu1^5 + 2274114780*lu1^6)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*(2*(30987 + 1322592*lu1 - 5609074*lu1^2 - 38339532*lu1^3 - 2480461*lu1^4 + 426449316*lu1^5 + 686189180*lu1^6)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (3*(258831 + 4200504*lu1 - 41303254*lu1^2 - 1102421232*lu1^3 - 217157941*lu1^4 + 10916622624*lu1^5 + 9548310164*lu1^6)*( f44[t] - I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(6215 + 157411*lu1 + 660038*lu1^2)*(g44[t] - I*g44n[t])))))/ (2002*Sqrt[42]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) - (5*(-1 + 5*lu1)*mar*(4*(30987 + 1322592*lu1 - 5609074*lu1^2 - 38339532*lu1^3 - 2480461*lu1^4 + 426449316*lu1^5 + 686189180*lu1^6)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* g20[t] + f20[t]*(3*(-2061693 + 7710582*lu1 + 273374416*lu1^2 + 364193698*lu1^3 - 972368191*lu1^4 - 1118951944*lu1^5 + 2274114780*lu1^6)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*(3*(258831 + 4200504*lu1 - 41303254* lu1^2 - 1102421232*lu1^3 - 217157941*lu1^4 + 10916622624* lu1^5 + 9548310164*lu1^6)*(f44[t] - I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(6215 + 157411*lu1 + 660038*lu1^2)* (g44[t] - I*g44n[t])))))/(2002*Sqrt[42]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (25*Sqrt[3/14]*lu1*mar*(3*(-1357917 + 2088248*lu1 + 237380954*lu1^2 + 49271392*lu1^3 - 2406017849*lu1^4 - 81086976*lu1^5 + 5693003940*lu1^6)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* g20[t] + 2*f20[t]*(-6*(-28314 + 137811*lu1 + 204583*lu1^2 - 962751*lu1^3 + 1632667*lu1^4 + 34104168*lu1^5 + 56924380*lu1^6)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((4041432 - 41019615*lu1 + 204240949*lu1^2 - 3310731273*lu1^3 + 1899357931*lu1^4 + 32705262012*lu1^5 + 31156407604*lu1^6)*( f44[t] - I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(-20977 - 272039*lu1 + 1349336*lu1^2)*(g44[t] - I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (25*Sqrt[3/14]*lu1*mar*(-12*(-28314 + 137811*lu1 + 204583*lu1^2 - 962751*lu1^3 + 1632667*lu1^4 + 34104168*lu1^5 + 56924380*lu1^6)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*(3*(-1357917 + 2088248*lu1 + 237380954*lu1^2 + 49271392*lu1^3 - 2406017849*lu1^4 - 81086976*lu1^5 + 5693003940*lu1^6)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((4041432 - 41019615*lu1 + 204240949* lu1^2 - 3310731273*lu1^3 + 1899357931*lu1^4 + 32705262012* lu1^5 + 31156407604*lu1^6)*(f44[t] - I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(-20977 - 272039*lu1 + 1349336*lu1^2)*(g44[t] - I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (675*Sqrt[3/14]*mar*(2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*(f44[t] - I*f44n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*( g44[t] - I*g44n[t])))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (675*Sqrt[3/14]*mar*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*(2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*(f44[t] - I*f44n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*( g44[t] - I*g44n[t])))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*((-231 + 464*lu1 + 5253*lu1^2 + 6802*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] - 4*f20[t]*((3133 + 16918*lu1 + 13701*lu1^2 - 26456*lu1^3)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 5*(f22[t] + I*f22n[t])*((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*(f44[t] - I*f44n[t]) + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*(g44[t] - I*g44n[t])))))/ (14*Sqrt[42]*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (5*Sqrt[7/6]*mar*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*(-14*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*(f44[t] - I*f44n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*( g44[t] - I*g44n[t])))))/(1573*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (25*Sqrt[21/2]*mar*(-28*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*(f44[t] - I*f44n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g44[t] - I*g44n[t])))))/ (3146*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (mar*(2*(-41601 - 757679*lu1 - 641199*lu1^2 + 675935*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] + 3*f20[t]*(15*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 4*(f22[t] + I*f22n[t])*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f44[t] - I*f44n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g44[t] - I*g44n[t])))))/ (121*Sqrt[42]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)* Pi) + (Sqrt[2/21]*mar*(-45*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*((41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 6*(f22[t] + I*f22n[t])*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f44[t] - I*f44n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g44[t] - I*g44n[t])))))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (mar*(-220*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] + 3*f20[t]*(75*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f44[t] - I*f44n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g44[t] - I*g44n[t])))))/(121*Sqrt[42]*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (Sqrt[2/21]*mar*(225*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*(-110*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 3*(f22[t] + I*f22n[t])* ((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f44[t] - I*f44n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g44[t] - I*g44n[t])))))/ (847*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[7/6]*mar*(-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*g20[t]) + 2*f20[t]* (-924*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f44[t] - I*f44n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g44[t] - I*g44n[t])))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (25*Sqrt[21/2]*mar*(-1848*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]* (-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])) + 2*(f22[t] + I*f22n[t])*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f44[t] - I*f44n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g44[t] - I*g44n[t])))))/(3146*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - ((-1 + 5*lu1)*mar*(4*(4087602 + 68474325*lu1 + 1781108111*lu1^2 + 32797352693*lu1^3 + 16105207435*lu1^4 - 16765136150*lu1^5)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*(-11*(626061 + 10591537*lu1 - 203838929*lu1^2 - 2623755193*lu1^3 - 1075343200*lu1^4 + 4473888300*lu1^5)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((-11128119 + 255092719*lu1 - 5721218781*lu1^2 - 137694550715*lu1^3 + 278067324900*lu1^4 + 160568117500*lu1^5)*(f44[t] - I*f44n[t]) - 180*(-2217 + 70831*lu1 - 1305651*lu1^2 - 7208655*lu1^3 + 61473144*lu1^4 + 140131460*lu1^5)*(g44[t] - I*g44n[t])))))/ (3146*Sqrt[42]*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[3/14]*lu1*mar* (4*(4623297 + 108049970*lu1 + 1801804166*lu1^2 + 18385049388*lu1^3 + 13966593545*lu1^4 + 17059495250*lu1^5)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]* (-55*(184053 + 2877457*lu1 - 64618857*lu1^2 - 706192393*lu1^3 + 899033600*lu1^4 + 4621448300*lu1^5)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((-13843563 + 115682971*lu1 - 5046714465*lu1^2 - 86616895943* lu1^3 + 132321954300*lu1^4 + 62141218300*lu1^5)*(f44[t] - I*f44n[t]) - 60*(-16110 + 143211*lu1 + 113800*lu1^2 - 15128237*lu1^3 + 54363404*lu1^4 + 167343260*lu1^5)*(g44[t] - I*g44n[t])))))/(3146*(-1 + 7*lu1 + 170*lu1^2)^2* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[3/14]*lu1*mar*(-385*(-441711 - 5325678*lu1 + 187065554*lu1^2 + 1255222416*lu1^3 - 10752584375*lu1^4 - 31661516386*lu1^5 + 68793216300*lu1^6 + 164398666600*lu1^7)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*g20[t] + 4*f20[t]* ((24743877 + 42041828*lu1 - 14057320476*lu1^2 + 204267231902*lu1^ 3 + 4579954622371*lu1^4 + 19121309258022*lu1^5 + 13035403226660*lu1^6 - 27534459026200*lu1^7)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-1012299 - 894114368*lu1 + 1859707156*lu1^2 + 53771001558* lu1^3 - 1980989400701*lu1^4 - 31440919572126*lu1^5 - 76332796631420*lu1^6 + 16758630169400*lu1^7)*(f44[t] - I*f44n[t]) + 15*(-453150 - 4242255*lu1 + 153527859*lu1^2 + 1817197377*lu1^3 - 4719934469*lu1^4 - 92260063742*lu1^5 + 67589944244*lu1^6 + 442511902280*lu1^7)*(g44[t] - I*g44n[t])))))/(22022*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + ((-1 + 5*lu1)*mar*(77*(2015343 + 23004828*lu1 - 852766456*lu1^2 - 4992571818*lu1^3 + 45812668781*lu1^4 + 72366076614*lu1^5 - 30665047300*lu1^6 + 67085226600*lu1^7)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*g20[t] - 4*f20[t]* ((-37131918 - 1085863547*lu1 + 6957092359*lu1^2 + 501124310557*lu1^ 3 + 4097031091911*lu1^4 + 19913873332002*lu1^5 + 20916441182420*lu1^6 - 34295621859800*lu1^7)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((58184043 + 820612814*lu1 - 14033195058*lu1^2 - 511527960584* lu1^3 - 1754507380437*lu1^4 - 19948725917510*lu1^5 - 95648476889820*lu1^6 + 11264044311800*lu1^7)*(f44[t] - I*f44n[t]) + 15*(39717 - 2292396*lu1 - 103874548*lu1^2 + 2140846946*lu1^3 + 18630034883*lu1^4 - 170630061382*lu1^5 - 112433531260*lu1^6 + 569267722520*lu1^7)*(g44[t] - I*g44n[t])))))/(22022*Sqrt[42]*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[3/14]*lu1*mar*(1760*(2682 - 86391*lu1 - 665959*lu1^2 + 22204467*lu1^3 + 80126029*lu1^4 - 1062669952*lu1^5 - 805309500*lu1^6 + 2910359200*lu1^7)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]* (55*(-1 + 7*lu1 + 170*lu1^2)^2*(-230757 - 5653412*lu1 - 5529141*lu1^2 + 17486910*lu1^3)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((15929697 + 657931342*lu1 - 14590593922*lu1^2 + 57238011476* lu1^3 + 1607948300237*lu1^4 - 17621017163314*lu1^5 + 60780942911420*lu1^6 + 173837309468200*lu1^7)*(f44[t] - I*f44n[t]) - 3*(-3083271 - 76456786*lu1 - 642699196*lu1^2 + 9196457802*lu1^3 + 3176886583*lu1^4 - 1247374236616*lu1^5 + 5078623709580*lu1^6 + 15008948334800*lu1^7)*(g44[t] - I*g44n[t])))))/(3146*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + ((-1 + 5*lu1)*mar*(77*(-1 + 7*lu1 + 170*lu1^2)^2* (-55911 + 1560086*lu1 + 70224811*lu1^2 + 78921990*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] + 4*f20[t]*(110*(23157 - 40254*lu1 - 8937482*lu1^2 - 15225120*lu1^3 + 1548958121*lu1^4 - 897237386*lu1^5 - 114398289780*lu1^6 + 25025961800*lu1^7)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-3461907 - 573897770*lu1 - 5631347790* lu1^2 + 278322669524*lu1^3 - 1928285791499*lu1^4 - 6534862180098*lu1^5 + 42567065595740*lu1^6 + 165633079991400* lu1^7)*(f44[t] - I*f44n[t]) - (6763518 + 261350795*lu1 + 2540796475*lu1^2 - 1823699243*lu1^3 - 701735916977*lu1^4 + 2359406643964*lu1^5 + 40892258831980*lu1^6 + 27577628346800* lu1^7)*(g44[t] - I*g44n[t])))))/(22022*Sqrt[42]* (-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)* Pi) + ((-1 + 5*lu1)*mar*(880*(3384 - 204795*lu1 + 106787*lu1^2 + 61802493*lu1^3 - 156581507*lu1^4 - 4346078782*lu1^5 + 13230579900*lu1^6 + 41620940200*lu1^7)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]* (11*(-1 + 7*lu1 + 170*lu1^2)^2*(-723669 - 16294556*lu1 + 15648419*lu1^2 + 43333710*lu1^3)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((-59796453 + 717650060*lu1 + 22329273760*lu1^2 - 155091225914* lu1^3 + 144495443929*lu1^4 - 9275866628282*lu1^5 + 44880267852460*lu1^6 + 167265058658600*lu1^7)*(f44[t] - I*f44n[t]) - (4768497 + 288936690*lu1 - 4571276960*lu1^2 - 161826699042*lu1^3 - 214718538973*lu1^4 + 4234519039216* lu1^5 + 22472838152220*lu1^6 + 28714916577200*lu1^7)*( g44[t] - I*g44n[t])))))/(3146*Sqrt[42]* (-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)* Pi) - (5*Sqrt[3/14]*lu1*mar*(385*(-1 + 7*lu1 + 170*lu1^2)^2* (142395 + 3833624*lu1 + 12324903*lu1^2 + 9329670*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*g20[t] + 4*f20[t]*(-110*(-41634 - 6579*lu1 + 20660383*lu1^2 + 22628829*lu1^3 - 3138184093*lu1^4 - 4215590822*lu1^5 + 145959619380*lu1^6 + 172960193000*lu1^7)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-33102237 - 717628232*lu1 + 10109867012*lu1^2 + 344499907634* lu1^3 - 3185286026707*lu1^4 - 31784028274786*lu1^5 + 107284455602780*lu1^6 + 292503100913800*lu1^7)*(f44[t] - I*f44n[t]) - (8191173 + 313079313*lu1 + 2058406613*lu1^2 - 15084181311*lu1^3 - 597307720334*lu1^4 + 359177667338*lu1^5 + 40527931500960*lu1^6 + 56812251508600*lu1^7)*(g44[t] - I*g44n[t])))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*mar*(120*(-1 - 9*lu1 + 10*lu1^2)*f20[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((217 + 3329*lu1 + 11590*lu1^2)*(f44[t] + I*f44n[t])*g20[t] + 4*f20[t]*((-1007 + 6741*lu1 + 6830*lu1^2)*(f44[t] + I*f44n[t]) + (43 - 1869*lu1 - 2830*lu1^2)*(g44[t] + I*g44n[t])))))/ (14*Sqrt[42]*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) + (Sqrt[5/42]*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*f40[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f44[t] + I*f44n[t])*g40[t] + f40[t]*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f44[t] + I*f44n[t]) - 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(g44[t] + I*g44n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (5*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*g20[t] + f20[t]* (-30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f44[t] + I*f44n[t]) - 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g44[t] + I*g44n[t])))))/(77*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)^ 2*(-1 + 7*lu1 + 170*lu1^2)*Pi) - (5*Sqrt[3/14]*mar*(-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*f20[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f44[t] + I*f44n[t])*g20[t] + f20[t]*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f44[t] + I*f44n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(g44[t] + I*g44n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (5*Sqrt[3/14]*mar*(30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*f20[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f44[t] + I*f44n[t])*g20[t] + f20[t]*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f44[t] + I*f44n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(g44[t] + I*g44n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (5*(-1 + 5*lu1)*mar* (3*(-2061693 + 7710582*lu1 + 273374416*lu1^2 + 364193698*lu1^3 - 972368191*lu1^4 - 1118951944*lu1^5 + 2274114780*lu1^6)*f20[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (2*(30987 + 1322592*lu1 - 5609074*lu1^2 - 38339532*lu1^3 - 2480461*lu1^4 + 426449316*lu1^5 + 686189180*lu1^6)* (f44[t] + I*f44n[t])*g20[t] + f20[t]*(3*(258831 + 4200504*lu1 - 41303254*lu1^2 - 1102421232*lu1^3 - 217157941*lu1^4 + 10916622624*lu1^5 + 9548310164*lu1^6)*(f44[t] + I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(6215 + 157411*lu1 + 660038*lu1^2)* (g44[t] + I*g44n[t])))))/(2002*Sqrt[42]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*(-1 + 5*lu1)*mar*(4*(30987 + 1322592*lu1 - 5609074*lu1^2 - 38339532*lu1^3 - 2480461*lu1^4 + 426449316*lu1^5 + 686189180*lu1^6)*f20[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (3*(-2061693 + 7710582*lu1 + 273374416*lu1^2 + 364193698*lu1^3 - 972368191*lu1^4 - 1118951944*lu1^5 + 2274114780*lu1^6)* (f44[t] + I*f44n[t])*g20[t] + 2*f20[t]* (3*(258831 + 4200504*lu1 - 41303254*lu1^2 - 1102421232*lu1^3 - 217157941*lu1^4 + 10916622624*lu1^5 + 9548310164*lu1^6)*( f44[t] + I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(6215 + 157411*lu1 + 660038*lu1^2)*(g44[t] + I*g44n[t])))))/ (2002*Sqrt[42]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) + (25*Sqrt[3/14]*lu1*mar*(3*(-1357917 + 2088248*lu1 + 237380954*lu1^2 + 49271392*lu1^3 - 2406017849*lu1^4 - 81086976*lu1^5 + 5693003940*lu1^6)*f20[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-6*(-28314 + 137811*lu1 + 204583*lu1^2 - 962751*lu1^3 + 1632667*lu1^4 + 34104168*lu1^5 + 56924380*lu1^6)* (f44[t] + I*f44n[t])*g20[t] + f20[t]*((4041432 - 41019615*lu1 + 204240949*lu1^2 - 3310731273*lu1^3 + 1899357931*lu1^4 + 32705262012*lu1^5 + 31156407604*lu1^6)*(f44[t] + I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(-20977 - 272039*lu1 + 1349336*lu1^2)*(g44[t] + I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (25*Sqrt[3/14]*lu1*mar*(-12*(-28314 + 137811*lu1 + 204583*lu1^2 - 962751*lu1^3 + 1632667*lu1^4 + 34104168*lu1^5 + 56924380*lu1^6)* f20[t]*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(3*(-1357917 + 2088248*lu1 + 237380954*lu1^2 + 49271392*lu1^3 - 2406017849*lu1^4 - 81086976*lu1^5 + 5693003940*lu1^6)*(f44[t] + I*f44n[t])*g20[t] + 2*f20[t]*((4041432 - 41019615*lu1 + 204240949*lu1^2 - 3310731273*lu1^3 + 1899357931*lu1^4 + 32705262012*lu1^5 + 31156407604*lu1^6)*(f44[t] + I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(-20977 - 272039*lu1 + 1349336*lu1^2)*(g44[t] + I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (405*Sqrt[15/14]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f44[t] + I*f44n[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*(g44[t] + I*g44n[t])))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (135*Sqrt[2/7]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*g20[t] + f20[t]*(2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f44[t] + I*f44n[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*( g44[t] + I*g44n[t])))))/(11011*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) + (6615*Sqrt[70]*mar*(-3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2*(f42[t] - I*f42n[t])*(-15*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f44[t] + I*f44n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(g44[t] + I*g44n[t])))))/(347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (6615*Sqrt[70]*mar*(-30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (-3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + 2*f40[t]*((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f44[t] + I*f44n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(g44[t] + I*g44n[t])))))/(347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (1215*Sqrt[15/14]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)*f40[t]*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(-20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f44[t] + I*f44n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(g44[t] + I*g44n[t])))))/(22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (405*Sqrt[2/7]*mar* (2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*g20[t] + f20[t]*(-20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f44[t] + I*f44n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*( g44[t] + I*g44n[t])))))/(11011*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*Sqrt[5/14]*mar*(-6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f44[t] + I*f44n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(g44[t] + I*g44n[t])))))/(847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*Sqrt[5/14]*mar* (6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (-6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f44[t] + I*f44n[t])* g40[t] + f40[t]*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)* (f44[t] + I*f44n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(g44[t] + I*g44n[t])))))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (3645*Sqrt[5/14]*mar*(2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)* f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*(8*(-1 + 219*lu1^2 + 1190*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*(-2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f44[t] + I*f44n[t]) + (17 + 600*lu1 - 7923*lu1^2 - 122230*lu1^3)*(g44[t] + I*g44n[t])))))/(26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3645*Sqrt[5/14]*mar*(8*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*(-2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f44[t] + I*f44n[t]) + (17 + 600*lu1 - 7923*lu1^2 - 122230*lu1^3)*(g44[t] + I*g44n[t])))))/(26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (675*Sqrt[3/14]*mar*(2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*f20[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*(f44[t] + I*f44n[t])* g20[t] + f20[t]*(2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*( f44[t] + I*f44n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(g44[t] + I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (675*Sqrt[3/14]*mar*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*f20[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*(f44[t] + I*f44n[t])* g20[t] + f20[t]*(2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*( f44[t] + I*f44n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(g44[t] + I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (2646*Sqrt[70]*mar*(2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)* f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 3*(f42[t] - I*f42n[t])*(-((15 + 2044*lu1 + 14999*lu1^2 + 544222* lu1^3)*(f44[t] + I*f44n[t])*g40[t]) + f40[t]*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f44[t] + I*f44n[t]) + 10*(3 + 20*lu1 - 797*lu1^2 - 6970*lu1^3)*( g44[t] + I*g44n[t])))))/(31603*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (45*Sqrt[5/14]*mar*(-6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f44[t] + I*f44n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(g44[t] + I*g44n[t])))))/(847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (27*Sqrt[15/14]*mar* (2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + 2*f40[t]*(3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f44[t] + I*f44n[t]) + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*(g44[t] + I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (405*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*g20[t] + f20[t]*((177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2*(f42[t] - I*f42n[t])*(3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f44[t] + I*f44n[t]) + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*(g44[t] + I*g44n[t])))))/ (1573*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)* Pi) - (5*mar*(4*(3133 + 16918*lu1 + 13701*lu1^2 - 26456*lu1^3)* f20[t]*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(-((-231 + 464*lu1 + 5253*lu1^2 + 6802*lu1^3)* (f44[t] + I*f44n[t])*g20[t]) + 20*f20[t]* ((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*(f44[t] + I*f44n[t]) + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*(g44[t] + I*g44n[t])))))/(14*Sqrt[42]*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) - (15*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*g20[t] + f20[t]*(2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f44[t] + I*f44n[t]) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)*(g44[t] + I*g44n[t])))))/(77*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (25*Sqrt[21/2]*mar*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)* f20[t]*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(-14*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)*(f44[t] + I*f44n[t])*g20[t] + f20[t]*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*( f44[t] + I*f44n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g44[t] + I*g44n[t])))))/ (3146*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[7/6]*mar*(-28*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)* f20[t]*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)*(f44[t] + I*f44n[t])*g20[t] + 2*f20[t]*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*( f44[t] + I*f44n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g44[t] + I*g44n[t])))))/ (1573*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[15/14]*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (5*(51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(f44[t] + I*f44n[t])* g40[t] + f40[t]*(-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f44[t] + I*f44n[t]) + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(g44[t] + I*g44n[t])))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (3645*Sqrt[5/14]*mar*(2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)* f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((17 + 600*lu1 - 7923*lu1^2 - 122230*lu1^3)* (f44[t] + I*f44n[t])*g40[t] - 2*f40[t]*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f44[t] + I*f44n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*(g44[t] + I*g44n[t])))))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3645*Sqrt[5/14]*mar*((-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)* f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2*(f42[t] - I*f42n[t])*(-((259 + 6070*lu1 + 32939*lu1^2 + 24860* lu1^3)*(f44[t] + I*f44n[t])*g40[t]) + f40[t]*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f44[t] + I*f44n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*(g44[t] + I*g44n[t])))))/(20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (Sqrt[2/21]*mar*(2*(41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)* f20[t]*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 3*(f22[t] - I*f22n[t])*(-15*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)*(f44[t] + I*f44n[t])*g20[t] + 4*f20[t]*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*( f44[t] + I*f44n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g44[t] + I*g44n[t])))))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (mar*(45*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)*f20[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 2*(f22[t] - I*f22n[t])* ((41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)* (f44[t] + I*f44n[t])*g20[t] + 6*f20[t]*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f44[t] + I*f44n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g44[t] + I*g44n[t])))))/(121*Sqrt[42]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*Sqrt[5/14]*mar*(6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)* f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f44[t] + I*f44n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(g44[t] + I*g44n[t])))))/(847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (9*Sqrt[70]*mar* ((-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (-210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*(f44[t] + I*f44n[t]) - 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(g44[t] + I*g44n[t])))))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (6615*Sqrt[70]*mar* (-3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2*(f42[t] - I*f42n[t])* ((-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f44[t] + I*f44n[t])* g40[t] + 3*f40[t]*((21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)*(f44[t] + I*f44n[t]) - 5*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(g44[t] + I*g44n[t])))))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (15*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*g20[t] + f20[t]*(-30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f44[t] + I*f44n[t]) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)* (g44[t] + I*g44n[t])))))/(77*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (3645*Sqrt[5/14]*mar*((-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)* f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2*(f42[t] - I*f42n[t])*(-4*(-1 + 219*lu1^2 + 1190*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f44[t] + I*f44n[t]) - (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(g44[t] + I*g44n[t])))))/(20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3645*Sqrt[5/14]*mar*(8*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((17 + 600*lu1 - 7923*lu1^2 - 122230*lu1^3)*(f44[t] + I*f44n[t])* g40[t] + 2*f40[t]*((621 + 2704*lu1 - 8287*lu1^2 - 80030*lu1^3)*( f44[t] + I*f44n[t]) + (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(g44[t] + I*g44n[t])))))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (Sqrt[5/42]*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(f44[t] + I*f44n[t])* g40[t] - 5*f40[t]*((-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)* (f44[t] + I*f44n[t]) + (-51 - 1936*lu1 + 9993*lu1^2 + 27322*lu1^3)*(g44[t] + I*g44n[t])))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*g20[t] + f20[t]* (144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 5*(f42[t] - I*f42n[t])* ((-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f44[t] + I*f44n[t]) + (-51 - 1936*lu1 + 9993*lu1^2 + 27322*lu1^3)*( g44[t] + I*g44n[t])))))/(77*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (9*Sqrt[70]*mar*((-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)* f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*(-210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*(f44[t] + I*f44n[t]) - 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(g44[t] + I*g44n[t])))))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (15*Sqrt[14]*mar* (231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*g20[t] + f20[t]* (2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f44[t] + I*f44n[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*( g44[t] + I*g44n[t])))))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (10*Sqrt[70/3]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*(f44[t] + I*f44n[t])* g40[t] + f40[t]*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f44[t] + I*f44n[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*(g44[t] + I*g44n[t])))))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (20*Sqrt[14]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*g20[t] + f20[t]*(63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f44[t] + I*f44n[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*( g44[t] + I*g44n[t])))))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (2646*Sqrt[70]*mar*(2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)* f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 3*(f42[t] - I*f42n[t])*(10*(3 + 20*lu1 - 797*lu1^2 - 6970*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f44[t] + I*f44n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(g44[t] + I*g44n[t])))))/(31603*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (6615*Sqrt[70]*mar*(-30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f44[t] + I*f44n[t])* g40[t] + 3*f40[t]*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f44[t] + I*f44n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(g44[t] + I*g44n[t])))))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (9*Sqrt[15/14]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f44[t] + I*f44n[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(g44[t] + I*g44n[t])))))/(2002*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (135*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*g20[t] + f20[t]* ((163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f44[t] + I*f44n[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(g44[t] + I*g44n[t])))))/ (1573*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (15*(-1 + 5*lu1)*mar*(2*(9853122 - 208038935*lu1 - 7054829398*lu1^2 + 106266174730*lu1^3 + 2312872955130*lu1^4 + 6125341835209*lu1^5 - 178830700390*lu1^6 - 2927714992916*lu1^7 + 3680543505240*lu1^8)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*g20[t] + f20[t]*(-2*(61533 + 32161257*lu1 - 326892816*lu1^2 - 5997505690*lu1^3 + 557790365*lu1^4 - 64048224699*lu1^5 + 1500754846254*lu1^6 + 3692643174268*lu1^7 + 694058366680*lu1^8)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((-9956724 + 67732453*lu1 - 5751024166*lu1^2 + 238501081090* lu1^3 - 3260805099740*lu1^4 - 37274219475243*lu1^5 + 4340943818166*lu1^6 + 120615611832508*lu1^7 + 69845797003080* lu1^8)*(f44[t] + I*f44n[t]) - 77*(-3 + 13*lu1 + 38*lu1^2)^2*( 10056 - 48629*lu1 - 8423512*lu1^2 - 35368145*lu1^3 + 162312150*lu1^4)*(g44[t] + I*g44n[t])))))/ (11011*Sqrt[14]*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (225*lu1*mar*(2*(4054797 - 67756677*lu1 - 3159933796*lu1^2 + 73859810290*lu1^3 + 1053100422325*lu1^4 + 3525194438159*lu1^5 + 1361531919226*lu1^6 - 1229956125212*lu1^7 + 8132075630280*lu1^8)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*g20[t] + f20[t]*(-2*(701730 + 2156571*lu1 - 114496902*lu1^2 - 2842606330*lu1^3 - 22153333990*lu1^4 + 178695617235*lu1^5 + 509687579802*lu1^6 + 455737753636*lu1^7 + 573204267160*lu1^8)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((-10082988 - 177973437*lu1 + 8602474518*lu1^2 - 52906663970* lu1^3 - 796451193460*lu1^4 - 20141634304701*lu1^5 - 15100731363254*lu1^6 + 101979082357796*lu1^7 + 88145927855160* lu1^8)*(f44[t] + I*f44n[t]) - 77*(-3 + 13*lu1 + 38*lu1^2)^2*( 11640 - 24251*lu1 - 10361032*lu1^2 - 62699135*lu1^3 + 419623050*lu1^4)*(g44[t] + I*g44n[t])))))/ (11011*Sqrt[14]*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar*(-5*(-116918601 + 716561449*lu1 + 95036079206*lu1^2 + 294575550630*lu1^3 - 4658875181325*lu1^4 - 23136183575907*lu1^5 - 14075246838112*lu1^6 + 23915242536612* lu1^7 + 2648959897920*lu1^8)*f40[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (4*(970083 - 41864796*lu1 - 628415250*lu1^2 + 2909863660*lu1^3 + 109695566915*lu1^4 - 302000270584*lu1^5 - 2037245830812*lu1^6 + 401330037840*lu1^7 + 4908239341600*lu1^8)*(f44[t] + I*f44n[t])* g40[t] + f40[t]*((-297965886 + 2374427053*lu1 + 190634665124* lu1^2 + 1087360054570*lu1^3 - 1434657534890*lu1^4 - 144436666965747*lu1^5 - 34335087477204*lu1^6 + 724542664914868*lu1^7 + 560849877678720*lu1^8)*(f44[t] + I*f44n[t]) - 77*(-3 + 13*lu1 + 38*lu1^2)^2*(29019 - 100079*lu1 - 25734673*lu1^2 - 123027773*lu1^3 + 1267272930* lu1^4)*(g44[t] + I*g44n[t])))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (15*Sqrt[15/14]*lu1*mar*((322125453 + 921793179*lu1 - 303705621750*lu1^2 - 2523453416750*lu1^3 + 21574651557585*lu1^4 + 85596680241591*lu1^5 + 11572839733768*lu1^6 - 42416907637620* lu1^7 + 155696530668000*lu1^8)*f40[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (20*(58158 - 3934125*lu1 - 141937842*lu1^2 + 1610354150*lu1^3 + 6747698110*lu1^4 - 50940934229*lu1^5 - 114800196570*lu1^6 + 107252008116*lu1^7 + 218311057160*lu1^8)*(f44[t] + I*f44n[t])* g40[t] + f40[t]*((-129130938 - 2496686169*lu1 + 139176124648* lu1^2 + 2227210873070*lu1^3 - 9134754975030*lu1^4 - 115235449482041*lu1^5 + 35628506067632*lu1^6 + 809925882464076*lu1^7 + 738125646053040*lu1^8)*(f44[t] + I*f44n[t]) - 77*(-3 + 13*lu1 + 38*lu1^2)^2*(66282 - 281389*lu1 - 58690334*lu1^2 - 236286661*lu1^3 + 3218294310* lu1^4)*(g44[t] + I*g44n[t])))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (Sqrt[2/21]*mar*(-220*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*f20[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 3*(f22[t] - I*f22n[t])* (75*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(f44[t] + I*f44n[t])* g20[t] + 2*f20[t]*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f44[t] + I*f44n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g44[t] + I*g44n[t])))))/(847*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (mar*(225*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f20[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-110*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f44[t] + I*f44n[t])*g20[t] + 3*f20[t]*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f44[t] + I*f44n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g44[t] + I*g44n[t])))))/ (121*Sqrt[42]*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (30*Sqrt[210]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(f44[t] + I*f44n[t])*g40[t] + 6*f40[t]*((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f44[t] + I*f44n[t]) - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(g44[t] + I*g44n[t])))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (60*Sqrt[14]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*g20[t] + f20[t]* (-7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 6*(f42[t] - I*f42n[t])* ((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f44[t] + I*f44n[t]) - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(g44[t] + I*g44n[t])))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (5*Sqrt[15/14]*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2* (f44[t] + I*f44n[t])*g40[t] + f40[t]*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f44[t] + I*f44n[t]) - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*( g44[t] + I*g44n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (15*Sqrt[7/2]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*g20[t] + f20[t]* (-((747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712* lu1^4 + 230071380*lu1^5)*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])) + 4*(f42[t] - I*f42n[t])* ((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f44[t] + I*f44n[t]) + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(g44[t] + I*g44n[t])))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (3*Sqrt[15/14]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-((-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706* lu1^4 + 33330560*lu1^5)*(f44[t] + I*f44n[t])*g40[t]) + 4*f40[t]*(2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f44[t] + I*f44n[t]) - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(g44[t] + I*g44n[t])))))/ (1573*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*Sqrt[2/7]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*g20[t] + 2*f20[t]*(-((-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])) + 4*(f42[t] - I*f42n[t])* (2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f44[t] + I*f44n[t]) - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(g44[t] + I*g44n[t])))))/ (11011*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (30*Sqrt[210]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*f40[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f44[t] + I*f44n[t])*g40[t] + f40[t]*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f44[t] + I*f44n[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(g44[t] + I*g44n[t])))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (60*Sqrt[14]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*g20[t] + f20[t]* (-210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f44[t] + I*f44n[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(g44[t] + I*g44n[t])))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (25*Sqrt[21/2]*mar*(-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*f20[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])* (-924*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f44[t] + I*f44n[t])*g20[t] + f20[t]*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f44[t] + I*f44n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g44[t] + I*g44n[t])))))/ (3146*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (5*Sqrt[7/6]*mar*(-1848*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*f20[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f44[t] + I*f44n[t])*g20[t]) + 2*f20[t]*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f44[t] + I*f44n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g44[t] + I*g44n[t])))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (3*Sqrt[15/14]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f44[t] + I*f44n[t])*g40[t] + f40[t]*(8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f44[t] + I*f44n[t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(g44[t] + I*g44n[t])))))/ (1573*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*Sqrt[2/7]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*g20[t] + 2*f20[t]*(-12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f44[t] + I*f44n[t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(g44[t] + I*g44n[t])))))/ (11011*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - ((-1 + 5*lu1)*mar*(-11*(626061 + 10591537*lu1 - 203838929*lu1^2 - 2623755193*lu1^3 - 1075343200*lu1^4 + 4473888300*lu1^5)*f20[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (2*(4087602 + 68474325*lu1 + 1781108111*lu1^2 + 32797352693*lu1^ 3 + 16105207435*lu1^4 - 16765136150*lu1^5)* (f44[t] + I*f44n[t])*g20[t] + f20[t]*((-11128119 + 255092719* lu1 - 5721218781*lu1^2 - 137694550715*lu1^3 + 278067324900* lu1^4 + 160568117500*lu1^5)*(f44[t] + I*f44n[t]) - 180*(-2217 + 70831*lu1 - 1305651*lu1^2 - 7208655*lu1^3 + 61473144*lu1^4 + 140131460*lu1^5)*(g44[t] + I*g44n[t])))))/ (3146*Sqrt[42]*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[3/14]*lu1*mar* (-55*(184053 + 2877457*lu1 - 64618857*lu1^2 - 706192393*lu1^3 + 899033600*lu1^4 + 4621448300*lu1^5)*f20[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (2*(4623297 + 108049970*lu1 + 1801804166*lu1^2 + 18385049388*lu1^ 3 + 13966593545*lu1^4 + 17059495250*lu1^5)* (f44[t] + I*f44n[t])*g20[t] + f20[t]*((-13843563 + 115682971* lu1 - 5046714465*lu1^2 - 86616895943*lu1^3 + 132321954300* lu1^4 + 62141218300*lu1^5)*(f44[t] + I*f44n[t]) - 60*(-16110 + 143211*lu1 + 113800*lu1^2 - 15128237*lu1^3 + 54363404*lu1^4 + 167343260*lu1^5)*(g44[t] + I*g44n[t])))))/ (3146*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[70/3]*mar* (84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*f40[t]*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(f44[t] + I*f44n[t])*g40[t] + f40[t]*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f44[t] + I*f44n[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(g44[t] + I*g44n[t])))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (10*Sqrt[14]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*g20[t] + f20[t]* (168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f44[t] + I*f44n[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251* lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(g44[t] + I*g44n[t])))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar*((-28795881 + 143795994*lu1 + 6084286642*lu1^2 + 16287917496*lu1^3 - 1306262897*lu1^4 - 15063131418*lu1^5 - 2545049360*lu1^6)*f40[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-105*(-3 + 13*lu1 + 38*lu1^2)^2*(1051 + 21740*lu1 + 48985*lu1^2)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*(3*(-27796 + 40217079*lu1 - 563962603*lu1^2 - 6849123929*lu1^3 - 2545972317*lu1^4 + 15373020182*lu1^5 + 13492065320*lu1^6)*(f44[t] + I*f44n[t]) + 20*(-25848 + 238731*lu1 + 4959335*lu1^2 - 11092515*lu1^3 - 140737255*lu1^4 - 82163916*lu1^5 + 239825372*lu1^6)*(g44[t] + I*g44n[t])))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (15*Sqrt[15/14]*lu1*mar* ((-11386113 + 49370234*lu1 + 2546214282*lu1^2 + 11846767696*lu1^3 + 12690683423*lu1^4 - 11305082802*lu1^5 - 11842627520*lu1^6)*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-7*(-3 + 13*lu1 + 38*lu1^2)^2*(13690 + 342641*lu1 + 1153045*lu1^2)*(f44[t] + I*f44n[t])*g40[t] + f40[t]*((-1930848 + 63173915*lu1 - 590529355*lu1^2 - 10133266945*lu1^3 - 21026869705*lu1^4 + 23946550394*lu1^5 + 46967053280*lu1^6)*(f44[t] + I*f44n[t]) + 8*(-55224 + 677661*lu1 + 8765903*lu1^2 - 54679731*lu1^3 - 128394043* lu1^4 + 196179858*lu1^5 + 353463080*lu1^6)*(g44[t] + I*g44n[t])))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (225*lu1*mar*(2*(893004 + 5895596*lu1 - 848514103*lu1^2 - 13136630097*lu1^3 - 19237565935*lu1^4 + 12505039241*lu1^5 + 28151249910*lu1^6)*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* g20[t] + f20[t]*(11*(11088 + 174501*lu1 - 11503883*lu1^2 - 224469977*lu1^3 + 266365595*lu1^4 + 7803202664*lu1^5 + 12934119660*lu1^6)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - (f42[t] - I*f42n[t])*((483609 + 25861681*lu1 - 743238745*lu1^2 - 34815639309*lu1^3 - 56159271284*lu1^4 + 159662242280*lu1^5 + 489039489960*lu1^6)*(f44[t] + I*f44n[t]) + 4*(-36846 + 247005*lu1 + 21393521*lu1^2 - 47744569*lu1^3 - 1027428923* lu1^4 + 1846242976*lu1^5 + 7088211060*lu1^6)*(g44[t] + I*g44n[t])))))/(1573*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^2* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (15*(-1 + 5*lu1)*mar*(2*(-1696104 + 899172*lu1 + 1516602347*lu1^2 + 12546390389*lu1^3 + 19839084271*lu1^4 - 27196858733*lu1^5 - 24798820830*lu1^6)*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* g20[t] + f20[t]*(-33*(10089 - 47574*lu1 - 8546012*lu1^2 - 37838606*lu1^3 + 245301047*lu1^4 + 1740698084*lu1^5 + 2332051260*lu1^6)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*(3*(807171 + 1348075*lu1 - 854255699*lu1^2 - 6148598959*lu1^3 - 43243514188*lu1^4 + 61760014920*lu1^5 + 130131169560*lu1^6)*(f44[t] + I*f44n[t]) + 4*(-26289 - 397044*lu1 + 27023978*lu1^2 + 129682784*lu1^3 - 2394102893* lu1^4 + 1821460348*lu1^5 + 13813387980*lu1^6)*(g44[t] + I*g44n[t])))))/(1573*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^2* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar*(20*(219 - 34042*lu1 - 334812*lu1^2 + 3269446*lu1^3 + 127594349*lu1^4 + 1031110788*lu1^5 + 546038980*lu1^6)*f40[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-70*(13785 + 42034*lu1 - 4003020*lu1^2 - 22722382*lu1^3 + 140932135*lu1^4 + 710749884*lu1^5 + 740503340*lu1^6)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*(2*(-3793500 + 44422085*lu1 + 827783181*lu1^2 - 2573276753*lu1^3 - 49442857249*lu1^4 - 307998768*lu1^5 + 193484873260*lu1^6)*( f44[t] + I*f44n[t]) + (-2699619 + 6765508*lu1 + 896965104* lu1^2 + 3034101590*lu1^3 - 21843611597*lu1^4 - 11432881578* lu1^5 + 43732894160*lu1^6)*(g44[t] + I*g44n[t])))))/ (2002*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^3*Pi) - (15*Sqrt[15/14]*lu1*mar*(4*(-10002 + 96835*lu1 - 99609*lu1^2 - 6804655*lu1^3 + 338176243*lu1^4 + 2514465960*lu1^5 + 5203970300*lu1^6)*f40[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-42*(-13638 - 162251*lu1 + 6769617*lu1^2 + 24521639*lu1^3 - 458644115*lu1^4 + 226917000*lu1^5 + 2371950500*lu1^6)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*(6*(-462945 + 3948174*lu1 + 167971468*lu1^2 - 593961138*lu1^3 - 7638227295*lu1^4 - 1007308508*lu1^5 + 18364141620*lu1^6)*(f44[t] + I*f44n[t]) + (-2024607 - 1610036*lu1 + 757154856*lu1^2 + 3496059206*lu1^3 - 30785162825*lu1^4 - 25962575394*lu1^5 + 96608638160*lu1^6)*( g44[t] + I*g44n[t])))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (15*(-1 + 5*lu1)*mar*(22*(1803 - 68084*lu1 - 1655846*lu1^2 - 7259184*lu1^3 + 461887591*lu1^4 + 5152857820*lu1^5 + 6027695100*lu1^6)*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* g20[t] + f20[t]*(-11*(12147 - 105418*lu1 - 12027460*lu1^2 - 2309898*lu1^3 + 2110270253*lu1^4 + 14009498900*lu1^5 + 24343865700*lu1^6)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((-1247715 - 2629823*lu1 + 1230039763* lu1^2 + 16036563327*lu1^3 - 188184483452*lu1^4 - 354974332100*lu1^5 + 1277400474000*lu1^6)*(f44[t] + I*f44n[t]) + (-862329 - 3395318*lu1 + 827816710*lu1^2 + 10027663332*lu1^3 + 6188748739*lu1^4 - 371224505510*lu1^5 + 280198871400*lu1^6)*(g44[t] + I*g44n[t])))))/ (1573*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 + 29*lu1 + 2310*lu1^2)* Pi) - (225*lu1*mar*(22*(894 - 42329*lu1 - 2016749*lu1^2 + 15990741*lu1^3 + 365478247*lu1^4 + 1047918640*lu1^5 + 4962692700*lu1^6)*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* g20[t] + f20[t]*(-33*(-2184 - 9395*lu1 + 2809333*lu1^2 + 22239255*lu1^3 - 730894973*lu1^4 - 5003519600*lu1^5 + 18444726300*lu1^6)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*(3*(-459569 + 6916431*lu1 + 351555509* lu1^2 - 1949705055*lu1^3 + 11245744056*lu1^4 - 38791174540* lu1^5 + 145445468000*lu1^6)*(f44[t] + I*f44n[t]) + (-612711 - 5336216*lu1 + 661131424*lu1^2 + 10166999886*lu1^3 - 40396802801*lu1^4 - 474909518630*lu1^5 + 685867765800*lu1^6)*( g44[t] + I*g44n[t])))))/(1573*Sqrt[14]* (-1 + 7*lu1 + 170*lu1^2)^3*(-3 + 29*lu1 + 2310*lu1^2)*Pi) + (15*Sqrt[15/14]*lu1*mar*(44*(-1 + 7*lu1 + 170*lu1^2)^2* (-28992 - 686173*lu1 - 100413*lu1^2 + 2934330*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-((-2112309 + 58683828*lu1 - 1387485668*lu1^2 - 20947024014* lu1^3 + 37911992861*lu1^4 + 311282867218*lu1^5 + 2814494053740*lu1^6 + 4973879283800*lu1^7)*(f44[t] + I* f44n[t])*g40[t]) + 2*f40[t]*((-4023726 + 226863745*lu1 - 2196272845*lu1^2 - 5510169871*lu1^3 + 331523892971*lu1^4 - 1741102034206*lu1^5 + 2148985196660*lu1^6 + 12019266637000* lu1^7)*(f44[t] + I*f44n[t]) - 16*(-16749 + 324918*lu1 + 4224976*lu1^2 - 70312386*lu1^3 - 417385135*lu1^4 + 2873352676*lu1^5 + 7238963700*lu1^6 + 882694400*lu1^7)*( g44[t] + I*g44n[t])))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*((24049257 + 4540410302*lu1 + 243419563590*lu1^2 + 5464168663564*lu1^3 + 31303700584349*lu1^4 + 16350122836902*lu1^5 - 44394776788484*lu1^6 + 59825421869640* lu1^7)*f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2*(f42[t] - I*f42n[t])*(-34*(152907 + 2226970*lu1 - 29528694*lu1^2 - 1128086140*lu1^3 - 2716573409*lu1^4 + 88868523810*lu1^5 + 417961608692*lu1^6 + 206282296920*lu1^7)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*(2*(-101122380 + 121081097*lu1 + 237374588343*lu1^2 + 476941408945*lu1^3 - 11770052939107*lu1^4 - 41408627359302*lu1^5 + 73185283698940* lu1^6 + 68936686191240*lu1^7)*(f44[t] + I*f44n[t]) - 1001*(-11283 - 260362*lu1 + 9981174*lu1^2 + 17189044*lu1^3 - 1059273127*lu1^4 + 655717446*lu1^5 + 17506056076*lu1^6 + 23974649160*lu1^7)*(g44[t] + I*g44n[t])))))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar* (-68*(152907 + 2226970*lu1 - 29528694*lu1^2 - 1128086140*lu1^3 - 2716573409*lu1^4 + 88868523810*lu1^5 + 417961608692*lu1^6 + 206282296920*lu1^7)*f40[t]*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((24049257 + 4540410302*lu1 + 243419563590*lu1^2 + 5464168663564*lu1^3 + 31303700584349*lu1^4 + 16350122836902*lu1^ 5 - 44394776788484*lu1^6 + 59825421869640*lu1^7)* (f44[t] + I*f44n[t])*g40[t] + 2*f40[t]*(2*(-101122380 + 121081097*lu1 + 237374588343*lu1^2 + 476941408945*lu1^3 - 11770052939107*lu1^4 - 41408627359302*lu1^5 + 73185283698940* lu1^6 + 68936686191240*lu1^7)*(f44[t] + I*f44n[t]) - 1001*(-11283 - 260362*lu1 + 9981174*lu1^2 + 17189044*lu1^3 - 1059273127*lu1^4 + 655717446*lu1^5 + 17506056076*lu1^6 + 23974649160*lu1^7)*(g44[t] + I*g44n[t])))))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar* (330*(-1 + 7*lu1 + 170*lu1^2)^2*(-3159 - 72672*lu1 + 31237*lu1^2 + 163730*lu1^3)*f40[t]*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(-3*(308967 + 47043430*lu1 - 746174382*lu1^2 - 16382896732*lu1^3 + 11999490091*lu1^4 + 477395035638*lu1^5 + 1221682549940*lu1^6 + 865058413800*lu1^7)*(f44[t] + I*f44n[t])* g40[t] + 2*f40[t]*((-6706566 + 212855505*lu1 - 1325318821* lu1^2 - 7479461343*lu1^3 + 429728235595*lu1^4 - 1892518938958*lu1^5 - 2007739535820*lu1^6 + 10810027669000* lu1^7)*(f44[t] + I*f44n[t]) + 8*(14463 - 760320*lu1 + 4394848*lu1^2 + 185374734*lu1^3 - 1351790395*lu1^4 - 13719494006*lu1^5 + 66305292300*lu1^6 + 173899388600*lu1^7)*( g44[t] + I*g44n[t])))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (135*Sqrt[5/14]*lu1*mar*(5*(56426961 + 6840216116*lu1 + 219220572672*lu1^2 + 2401667806450*lu1^3 + 14898880185227*lu1^4 + 13000620262434*lu1^5 - 334896808604*lu1^6 + 21434219552760*lu1^7)* f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2*(f42[t] - I*f42n[t])*(170*(-200118 - 2408267*lu1 + 102708975*lu1^2 + 707132693*lu1^3 - 10131755177*lu1^4 - 58069126470*lu1^5 + 97439050820*lu1^6 + 256205548200*lu1^7)* (f44[t] + I*f44n[t])*g40[t] + f40[t]*(10*(43544949 + 1939815691*lu1 + 67836191241*lu1^2 + 940901512385*lu1^3 - 8056220065994*lu1^4 - 19218525401496*lu1^5 - 12260083238296* lu1^6 + 20204777112240*lu1^7)*(f44[t] + I*f44n[t]) - 1001*(-23334 - 978163*lu1 + 8621247*lu1^2 + 356737909*lu1^3 - 660234409*lu1^4 - 22992430878*lu1^5 + 50342281060*lu1^6 + 182000099400*lu1^7)*(g44[t] + I*g44n[t])))))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (135*Sqrt[5/14]*lu1*mar* (340*(-200118 - 2408267*lu1 + 102708975*lu1^2 + 707132693*lu1^3 - 10131755177*lu1^4 - 58069126470*lu1^5 + 97439050820*lu1^6 + 256205548200*lu1^7)*f40[t]*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (5*(56426961 + 6840216116*lu1 + 219220572672*lu1^2 + 2401667806450*lu1^3 + 14898880185227*lu1^4 + 13000620262434*lu1^ 5 - 334896808604*lu1^6 + 21434219552760*lu1^7)* (f44[t] + I*f44n[t])*g40[t] + 2*f40[t]* (10*(43544949 + 1939815691*lu1 + 67836191241*lu1^2 + 940901512385*lu1^3 - 8056220065994*lu1^4 - 19218525401496* lu1^5 - 12260083238296*lu1^6 + 20204777112240*lu1^7)*( f44[t] + I*f44n[t]) - 1001*(-23334 - 978163*lu1 + 8621247*lu1^2 + 356737909*lu1^3 - 660234409*lu1^4 - 22992430878*lu1^5 + 50342281060*lu1^6 + 182000099400*lu1^7)*( g44[t] + I*g44n[t])))))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*((24049257 + 4540410302*lu1 + 243419563590*lu1^2 + 5464168663564*lu1^3 + 31303700584349*lu1^4 + 16350122836902*lu1^5 - 44394776788484*lu1^6 + 59825421869640* lu1^7)*f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2*(f42[t] - I*f42n[t])*(-1001*(-11283 - 260362*lu1 + 9981174*lu1^2 + 17189044*lu1^3 - 1059273127*lu1^4 + 655717446*lu1^5 + 17506056076*lu1^6 + 23974649160*lu1^7)* (f44[t] + I*f44n[t])*g40[t] + 2*f40[t]* ((-101122380 + 121081097*lu1 + 237374588343*lu1^2 + 476941408945*lu1^3 - 11770052939107*lu1^4 - 41408627359302* lu1^5 + 73185283698940*lu1^6 + 68936686191240*lu1^7)*( f44[t] + I*f44n[t]) - 17*(152907 + 2226970*lu1 - 29528694*lu1^2 - 1128086140*lu1^3 - 2716573409*lu1^4 + 88868523810*lu1^5 + 417961608692*lu1^6 + 206282296920*lu1^7)*( g44[t] + I*g44n[t])))))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (135*Sqrt[5/14]*lu1*mar*(286*(-65982 - 2504725*lu1 + 84009161*lu1^2 + 3298138155*lu1^3 - 5617301707*lu1^4 - 758520460570*lu1^5 - 3996326697300*lu1^6 + 7535916927000*lu1^7)*f40[t]* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 5*(f42[t] - I*f42n[t])* (-((-1412343 + 498740164*lu1 + 33856932400*lu1^2 + 908046740946* lu1^3 + 14213403048835*lu1^4 + 62687569919602*lu1^5 + 72766944668292*lu1^6 + 389083030209720*lu1^7)* (f44[t] + I*f44n[t])*g40[t]) + 4*f40[t]* ((-1092003 + 188244575*lu1 - 10999313779*lu1^2 - 554427825939* lu1^3 - 1048328857462*lu1^4 + 10389519751256*lu1^5 + 212334373615224*lu1^6 + 130055760278640*lu1^7)*(f44[t] + I*f44n[t]) + 51*(16986 + 205709*lu1 - 9590217*lu1^2 - 29049875*lu1^3 + 933174527*lu1^4 - 1414395414*lu1^5 - 16240178780*lu1^6 + 207840330600*lu1^7)*(g44[t] + I*g44n[t])))))/(347633*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (225*lu1*mar*(77*(-1 + 7*lu1 + 170*lu1^2)^2*(-11211 - 261284*lu1 + 66621*lu1^2 + 1387890*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*g20[t] + f20[t]* (-2*(815838 + 99611166*lu1 + 261218141*lu1^2 - 5562458403*lu1^3 + 14046178393*lu1^4 + 359877732221*lu1^5 + 1225756884720*lu1^6 + 1479108880900*lu1^7)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((-15574503 + 202027834*lu1 - 3630933054*lu1^2 - 878343808*lu1^3 + 256477874449*lu1^4 - 989547211482*lu1^5 + 4081588181420*lu1^6 + 18078109816200* lu1^7)*(f44[t] + I*f44n[t]) - 2*(-281178 + 3940299*lu1 + 73159721*lu1^2 - 684980253*lu1^3 - 6728792831*lu1^4 + 15694281038*lu1^5 + 111492570300*lu1^6 + 230400398200*lu1^7)*( g44[t] + I*g44n[t])))))/(11011*Sqrt[14]* (-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)* Pi) + (135*Sqrt[5/14]*lu1*mar*(5*(56426961 + 6840216116*lu1 + 219220572672*lu1^2 + 2401667806450*lu1^3 + 14898880185227*lu1^4 + 13000620262434*lu1^5 - 334896808604*lu1^6 + 21434219552760*lu1^7)* f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2*(f42[t] - I*f42n[t])*(-1001*(-23334 - 978163*lu1 + 8621247*lu1^2 + 356737909*lu1^3 - 660234409*lu1^4 - 22992430878*lu1^5 + 50342281060*lu1^6 + 182000099400*lu1^7)* (f44[t] + I*f44n[t])*g40[t] + 10*f40[t]* ((43544949 + 1939815691*lu1 + 67836191241*lu1^2 + 940901512385* lu1^3 - 8056220065994*lu1^4 - 19218525401496*lu1^5 - 12260083238296*lu1^6 + 20204777112240*lu1^7)*(f44[t] + I*f44n[t]) + 17*(-200118 - 2408267*lu1 + 102708975*lu1^2 + 707132693*lu1^3 - 10131755177*lu1^4 - 58069126470*lu1^5 + 97439050820*lu1^6 + 256205548200*lu1^7)*(g44[t] + I*g44n[t])))))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (5*Sqrt[3/14]*lu1*mar*(4*(24743877 + 42041828*lu1 - 14057320476*lu1^2 + 204267231902*lu1^3 + 4579954622371*lu1^4 + 19121309258022*lu1^5 + 13035403226660*lu1^6 - 27534459026200* lu1^7)*f20[t]*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(-385*(-441711 - 5325678*lu1 + 187065554*lu1^2 + 1255222416*lu1^3 - 10752584375*lu1^4 - 31661516386*lu1^5 + 68793216300*lu1^6 + 164398666600*lu1^7)* (f44[t] + I*f44n[t])*g20[t] + 4*f20[t]* ((-1012299 - 894114368*lu1 + 1859707156*lu1^2 + 53771001558* lu1^3 - 1980989400701*lu1^4 - 31440919572126*lu1^5 - 76332796631420*lu1^6 + 16758630169400*lu1^7)*(f44[t] + I*f44n[t]) + 15*(-453150 - 4242255*lu1 + 153527859*lu1^2 + 1817197377*lu1^3 - 4719934469*lu1^4 - 92260063742*lu1^5 + 67589944244*lu1^6 + 442511902280*lu1^7)*(g44[t] + I*g44n[t])))))/(22022*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - ((-1 + 5*lu1)*mar*(4*(-37131918 - 1085863547*lu1 + 6957092359*lu1^2 + 501124310557*lu1^3 + 4097031091911*lu1^4 + 19913873332002*lu1^5 + 20916441182420*lu1^6 - 34295621859800*lu1^7)*f20[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-77*(2015343 + 23004828*lu1 - 852766456*lu1^2 - 4992571818*lu1^ 3 + 45812668781*lu1^4 + 72366076614*lu1^5 - 30665047300*lu1^ 6 + 67085226600*lu1^7)*(f44[t] + I*f44n[t])*g20[t] + 4*f20[t]*((58184043 + 820612814*lu1 - 14033195058*lu1^2 - 511527960584*lu1^3 - 1754507380437*lu1^4 - 19948725917510* lu1^5 - 95648476889820*lu1^6 + 11264044311800*lu1^7)*( f44[t] + I*f44n[t]) + 15*(39717 - 2292396*lu1 - 103874548* lu1^2 + 2140846946*lu1^3 + 18630034883*lu1^4 - 170630061382* lu1^5 - 112433531260*lu1^6 + 569267722520*lu1^7)*(g44[t] + I*g44n[t])))))/(22022*Sqrt[42]*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (15*(-1 + 5*lu1)*mar*(231*(-1 + 7*lu1 + 170*lu1^2)^2* (-3282 - 73463*lu1 + 81967*lu1^2 + 215530*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*g20[t] + f20[t]*(2*(108261 - 4517040*lu1 + 41833240*lu1^2 + 825009606*lu1^ 3 - 11544668041*lu1^4 - 57703015094*lu1^5 + 516313247700*lu1^ 6 + 921643885400*lu1^7)*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((-12666123 + 114905870*lu1 - 5296906970*lu1^2 + 40715277292* lu1^3 + 210258132913*lu1^4 - 329594841338*lu1^5 - 5249338813460*lu1^6 + 14050750166600*lu1^7)*(f44[t] + I*f44n[t]) - 2*(2159622 + 113836180*lu1 - 276732113*lu1^2 - 8935839109*lu1^3 + 24672584655*lu1^4 + 695193188161*lu1^5 + 1362703140440*lu1^6 + 834085231700*lu1^7)*(g44[t] + I*g44n[t])))))/(11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar*(330*(-1 + 7*lu1 + 170*lu1^2)^2* (-3159 - 72672*lu1 + 31237*lu1^2 + 163730*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (16*(14463 - 760320*lu1 + 4394848*lu1^2 + 185374734*lu1^3 - 1351790395*lu1^4 - 13719494006*lu1^5 + 66305292300*lu1^6 + 173899388600*lu1^7)*(f44[t] + I*f44n[t])*g40[t] + f40[t]*(2*(-6706566 + 212855505*lu1 - 1325318821*lu1^2 - 7479461343*lu1^3 + 429728235595*lu1^4 - 1892518938958*lu1^5 - 2007739535820*lu1^6 + 10810027669000*lu1^7)*(f44[t] + I*f44n[t]) - 3*(308967 + 47043430*lu1 - 746174382*lu1^2 - 16382896732*lu1^3 + 11999490091*lu1^4 + 477395035638*lu1^5 + 1221682549940*lu1^6 + 865058413800*lu1^7)*(g44[t] + I*g44n[t])))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar*(231*(-1 + 7*lu1 + 170*lu1^2)^2* (-3282 - 73463*lu1 + 81967*lu1^2 + 215530*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*g20[t] + f20[t]*(-2*(2159622 + 113836180*lu1 - 276732113*lu1^2 - 8935839109*lu1^3 + 24672584655*lu1^4 + 695193188161*lu1^5 + 1362703140440*lu1^6 + 834085231700*lu1^7)*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((-12666123 + 114905870*lu1 - 5296906970*lu1^2 + 40715277292* lu1^3 + 210258132913*lu1^4 - 329594841338*lu1^5 - 5249338813460*lu1^6 + 14050750166600*lu1^7)*(f44[t] + I*f44n[t]) + 2*(108261 - 4517040*lu1 + 41833240*lu1^2 + 825009606*lu1^3 - 11544668041*lu1^4 - 57703015094*lu1^5 + 516313247700*lu1^6 + 921643885400*lu1^7)*(g44[t] + I*g44n[t])))))/(11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (225*lu1*mar*(77*(-1 + 7*lu1 + 170*lu1^2)^2*(-11211 - 261284*lu1 + 66621*lu1^2 + 1387890*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*g20[t] + f20[t]* (-2*(-281178 + 3940299*lu1 + 73159721*lu1^2 - 684980253*lu1^3 - 6728792831*lu1^4 + 15694281038*lu1^5 + 111492570300*lu1^6 + 230400398200*lu1^7)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((-15574503 + 202027834*lu1 - 3630933054* lu1^2 - 878343808*lu1^3 + 256477874449*lu1^4 - 989547211482* lu1^5 + 4081588181420*lu1^6 + 18078109816200*lu1^7)*( f44[t] + I*f44n[t]) - 2*(815838 + 99611166*lu1 + 261218141*lu1^2 - 5562458403*lu1^3 + 14046178393*lu1^4 + 359877732221*lu1^5 + 1225756884720*lu1^6 + 1479108880900* lu1^7)*(g44[t] + I*g44n[t])))))/(11011*Sqrt[14]* (-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)* Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar* (-858*(-8655 - 233222*lu1 + 13313362*lu1^2 + 279663840*lu1^3 - 3368300663*lu1^4 - 55267954298*lu1^5 - 51812781300*lu1^6 + 321736753800*lu1^7)*f40[t]*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((-7801743 - 189533714*lu1 + 32304488902*lu1^2 + 1715411796156*lu1^ 3 + 20517742913461*lu1^4 + 95996769043270*lu1^5 + 119956179455196*lu1^6 + 473318379986760*lu1^7)* (f44[t] + I*f44n[t])*g40[t] + 4*f40[t]* ((-14468874 - 269233951*lu1 + 32740644479*lu1^2 + 474410454501* lu1^3 + 1260989662331*lu1^4 - 20479295321938*lu1^5 + 241740476204388*lu1^6 + 45142343137080*lu1^7)*(f44[t] + I*f44n[t]) - 51*(7629 + 193666*lu1 + 6972818*lu1^2 - 105358088*lu1^3 - 3468443651*lu1^4 - 1600730554*lu1^5 + 380446924060*lu1^6 + 2129585325000*lu1^7)*(g44[t] + I*g44n[t])))))/(347633*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (15*Sqrt[15/14]*lu1*mar*(44*(-1 + 7*lu1 + 170*lu1^2)^2* (-28992 - 686173*lu1 - 100413*lu1^2 + 2934330*lu1^3)*f40[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-32*(-16749 + 324918*lu1 + 4224976*lu1^2 - 70312386*lu1^3 - 417385135*lu1^4 + 2873352676*lu1^5 + 7238963700*lu1^6 + 882694400*lu1^7)*(f44[t] + I*f44n[t])*g40[t] + f40[t]*(2*(-4023726 + 226863745*lu1 - 2196272845*lu1^2 - 5510169871*lu1^3 + 331523892971*lu1^4 - 1741102034206*lu1^5 + 2148985196660*lu1^6 + 12019266637000*lu1^7)*(f44[t] + I*f44n[t]) - (-2112309 + 58683828*lu1 - 1387485668*lu1^2 - 20947024014*lu1^3 + 37911992861*lu1^4 + 311282867218*lu1^5 + 2814494053740*lu1^6 + 4973879283800*lu1^7)*(g44[t] + I*g44n[t])))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3/14]*lu1*mar*(55*(-1 + 7*lu1 + 170*lu1^2)^2* (-230757 - 5653412*lu1 - 5529141*lu1^2 + 17486910*lu1^3)*f20[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (880*(2682 - 86391*lu1 - 665959*lu1^2 + 22204467*lu1^3 + 80126029*lu1^4 - 1062669952*lu1^5 - 805309500*lu1^6 + 2910359200*lu1^7)*(f44[t] + I*f44n[t])*g20[t] + f20[t]*((15929697 + 657931342*lu1 - 14590593922*lu1^2 + 57238011476*lu1^3 + 1607948300237*lu1^4 - 17621017163314* lu1^5 + 60780942911420*lu1^6 + 173837309468200*lu1^7)*( f44[t] + I*f44n[t]) - 3*(-3083271 - 76456786*lu1 - 642699196*lu1^2 + 9196457802*lu1^3 + 3176886583*lu1^4 - 1247374236616*lu1^5 + 5078623709580*lu1^6 + 15008948334800* lu1^7)*(g44[t] + I*g44n[t])))))/ (3146*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (135*Sqrt[5/14]*lu1*mar* (340*(-200118 - 2408267*lu1 + 102708975*lu1^2 + 707132693*lu1^3 - 10131755177*lu1^4 - 58069126470*lu1^5 + 97439050820*lu1^6 + 256205548200*lu1^7)*f40[t]*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (-2002*(-23334 - 978163*lu1 + 8621247*lu1^2 + 356737909*lu1^3 - 660234409*lu1^4 - 22992430878*lu1^5 + 50342281060*lu1^6 + 182000099400*lu1^7)*(f44[t] + I*f44n[t])*g40[t] + 5*f40[t]*(4*(43544949 + 1939815691*lu1 + 67836191241*lu1^2 + 940901512385*lu1^3 - 8056220065994*lu1^4 - 19218525401496* lu1^5 - 12260083238296*lu1^6 + 20204777112240*lu1^7)*( f44[t] + I*f44n[t]) + (56426961 + 6840216116*lu1 + 219220572672*lu1^2 + 2401667806450*lu1^3 + 14898880185227* lu1^4 + 13000620262434*lu1^5 - 334896808604*lu1^6 + 21434219552760*lu1^7)*(g44[t] + I*g44n[t])))))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + ((-1 + 5*lu1)*mar* (440*(23157 - 40254*lu1 - 8937482*lu1^2 - 15225120*lu1^3 + 1548958121*lu1^4 - 897237386*lu1^5 - 114398289780*lu1^6 + 25025961800*lu1^7)*f20[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (77*(-1 + 7*lu1 + 170*lu1^2)^2*(-55911 + 1560086*lu1 + 70224811*lu1^2 + 78921990*lu1^3)*(f44[t] + I*f44n[t])*g20[t] + 4*f20[t]*((-3461907 - 573897770*lu1 - 5631347790*lu1^2 + 278322669524*lu1^3 - 1928285791499*lu1^4 - 6534862180098* lu1^5 + 42567065595740*lu1^6 + 165633079991400*lu1^7)*( f44[t] + I*f44n[t]) - (6763518 + 261350795*lu1 + 2540796475*lu1^2 - 1823699243*lu1^3 - 701735916977*lu1^4 + 2359406643964*lu1^5 + 40892258831980*lu1^6 + 27577628346800* lu1^7)*(g44[t] + I*g44n[t])))))/(22022*Sqrt[42]* (-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)* Pi) + ((-1 + 5*lu1)*mar*(11*(-1 + 7*lu1 + 170*lu1^2)^2* (-723669 - 16294556*lu1 + 15648419*lu1^2 + 43333710*lu1^3)*f20[t]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (440*(3384 - 204795*lu1 + 106787*lu1^2 + 61802493*lu1^3 - 156581507*lu1^4 - 4346078782*lu1^5 + 13230579900*lu1^6 + 41620940200*lu1^7)*(f44[t] + I*f44n[t])*g20[t] + f20[t]*((-59796453 + 717650060*lu1 + 22329273760*lu1^2 - 155091225914*lu1^3 + 144495443929*lu1^4 - 9275866628282* lu1^5 + 44880267852460*lu1^6 + 167265058658600*lu1^7)*( f44[t] + I*f44n[t]) - (4768497 + 288936690*lu1 - 4571276960*lu1^2 - 161826699042*lu1^3 - 214718538973*lu1^4 + 4234519039216*lu1^5 + 22472838152220*lu1^6 + 28714916577200* lu1^7)*(g44[t] + I*g44n[t])))))/(3146*Sqrt[42]* (-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)* Pi) - (5*Sqrt[3/14]*lu1*mar*(-440*(-41634 - 6579*lu1 + 20660383*lu1^2 + 22628829*lu1^3 - 3138184093*lu1^4 - 4215590822*lu1^5 + 145959619380*lu1^6 + 172960193000*lu1^7)* f20[t]*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(385*(-1 + 7*lu1 + 170*lu1^2)^2* (142395 + 3833624*lu1 + 12324903*lu1^2 + 9329670*lu1^3)* (f44[t] + I*f44n[t])*g20[t] + 4*f20[t]* ((-33102237 - 717628232*lu1 + 10109867012*lu1^2 + 344499907634* lu1^3 - 3185286026707*lu1^4 - 31784028274786*lu1^5 + 107284455602780*lu1^6 + 292503100913800*lu1^7)*(f44[t] + I*f44n[t]) - (8191173 + 313079313*lu1 + 2058406613*lu1^2 - 15084181311*lu1^3 - 597307720334*lu1^4 + 359177667338*lu1^5 + 40527931500960*lu1^6 + 56812251508600*lu1^7)*(g44[t] + I*g44n[t])))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*(-68*(152907 + 2226970*lu1 - 29528694*lu1^2 - 1128086140*lu1^3 - 2716573409*lu1^4 + 88868523810*lu1^5 + 417961608692*lu1^6 + 206282296920*lu1^7)* f40[t]*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*(-2002*(-11283 - 260362*lu1 + 9981174*lu1^2 + 17189044*lu1^3 - 1059273127*lu1^4 + 655717446*lu1^5 + 17506056076*lu1^6 + 23974649160*lu1^7)*(f44[t] + I*f44n[t])* g40[t] + f40[t]*(4*(-101122380 + 121081097*lu1 + 237374588343* lu1^2 + 476941408945*lu1^3 - 11770052939107*lu1^4 - 41408627359302*lu1^5 + 73185283698940*lu1^6 + 68936686191240* lu1^7)*(f44[t] + I*f44n[t]) + (24049257 + 4540410302*lu1 + 243419563590*lu1^2 + 5464168663564*lu1^3 + 31303700584349* lu1^4 + 16350122836902*lu1^5 - 44394776788484*lu1^6 + 59825421869640*lu1^7)*(g44[t] + I*g44n[t])))))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (135*Sqrt[5/14]*lu1*mar* (286*(-65982 - 2504725*lu1 + 84009161*lu1^2 + 3298138155*lu1^3 - 5617301707*lu1^4 - 758520460570*lu1^5 - 3996326697300*lu1^6 + 7535916927000*lu1^7)*f40[t]*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 5*(f42[t] - I*f42n[t])* (204*(16986 + 205709*lu1 - 9590217*lu1^2 - 29049875*lu1^3 + 933174527*lu1^4 - 1414395414*lu1^5 - 16240178780*lu1^6 + 207840330600*lu1^7)*(f44[t] + I*f44n[t])*g40[t] + f40[t]*(4*(-1092003 + 188244575*lu1 - 10999313779*lu1^2 - 554427825939*lu1^3 - 1048328857462*lu1^4 + 10389519751256* lu1^5 + 212334373615224*lu1^6 + 130055760278640*lu1^7)*( f44[t] + I*f44n[t]) - (-1412343 + 498740164*lu1 + 33856932400*lu1^2 + 908046740946*lu1^3 + 14213403048835* lu1^4 + 62687569919602*lu1^5 + 72766944668292*lu1^6 + 389083030209720*lu1^7)*(g44[t] + I*g44n[t])))))/ (347633*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar* (-858*(-8655 - 233222*lu1 + 13313362*lu1^2 + 279663840*lu1^3 - 3368300663*lu1^4 - 55267954298*lu1^5 - 51812781300*lu1^6 + 321736753800*lu1^7)*f40[t]*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (-204*(7629 + 193666*lu1 + 6972818*lu1^2 - 105358088*lu1^3 - 3468443651*lu1^4 - 1600730554*lu1^5 + 380446924060*lu1^6 + 2129585325000*lu1^7)*(f44[t] + I*f44n[t])*g40[t] + f40[t]*(4*(-14468874 - 269233951*lu1 + 32740644479*lu1^2 + 474410454501*lu1^3 + 1260989662331*lu1^4 - 20479295321938* lu1^5 + 241740476204388*lu1^6 + 45142343137080*lu1^7)*( f44[t] + I*f44n[t]) + (-7801743 - 189533714*lu1 + 32304488902*lu1^2 + 1715411796156*lu1^3 + 20517742913461* lu1^4 + 95996769043270*lu1^5 + 119956179455196*lu1^6 + 473318379986760*lu1^7)*(g44[t] + I*g44n[t])))))/ (347633*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar* (44*(11061 + 907359*lu1 - 23683004*lu1^2 - 92013022*lu1^3 + 4258952469*lu1^4 - 6237988101*lu1^5 - 264724935766*lu1^6 + 154027249380*lu1^7 + 1634445079400*lu1^8)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*g20[t] + f20[t]* (-((345969 - 44592839*lu1 + 1220164724*lu1^2 + 42177308462*lu1^3 + 505794298241*lu1^4 - 1118316717859*lu1^5 - 13154432855614* lu1^6 + 65161455831340*lu1^7 + 141634864631400*lu1^8)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])) + (f42[t] - I*f42n[t])*((-798426 + 39846877*lu1 + 3510642878* lu1^2 - 241253029158*lu1^3 + 883778676910*lu1^4 + 16337471407125*lu1^5 - 52162878855234*lu1^6 + 5219610714780* lu1^7 + 280901317501000*lu1^8)*(f44[t] + I*f44n[t]) + 231*(14886 - 285867*lu1 - 12897994*lu1^2 + 147365434*lu1^3 + 2147160750*lu1^4 - 9407314819*lu1^5 - 68702026010*lu1^6 + 111518511900*lu1^7 + 393732801000*lu1^8)*(g44[t] + I*g44n[t])))))/(11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (225*lu1*mar*(44*(28782 - 78447*lu1 - 10750058*lu1^2 - 15400654*lu1^3 + 1717593798*lu1^4 + 725004153*lu1^5 - 116340453562*lu1^6 - 50539249140*lu1^7 + 225041637800*lu1^8)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*g20[t] + f20[t]*(-((3014385 - 5412311*lu1 - 3193029020*lu1^2 + 24150184718* lu1^3 + 1259848844193*lu1^4 + 2921375388301*lu1^5 - 63959908129678*lu1^6 + 6524729556140*lu1^7 + 280848915484200* lu1^8)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])) + (f42[t] - I*f42n[t])*((3009930 - 28511309*lu1 - 5278765774* lu1^2 + 28001361366*lu1^3 - 107513934158*lu1^4 + 2611077558123*lu1^5 - 19363573673598*lu1^6 + 130783122602340* lu1^7 + 377105143958200*lu1^8)*(f44[t] + I*f44n[t]) + 231*(21888 - 124083*lu1 - 25362590*lu1^2 - 20395758*lu1^3 + 6566581832*lu1^4 + 17245443805*lu1^5 - 315125112330*lu1^6 - 211396646500*lu1^7 + 871554453000*lu1^8)*(g44[t] + I*g44n[t])))))/(11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (15*Sqrt[15/14]*lu1*mar*(44*(442998 - 5662779*lu1 - 316441994*lu1^2 + 2371679962*lu1^3 + 51660063358*lu1^4 - 68145205459*lu1^5 - 1528939763450*lu1^6 - 2028333659300*lu1^7 + 547200913000*lu1^8)* f40[t]*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((-133993299 - 658127543*lu1 + 148303165442*lu1^2 + 1183073994014*lu1^3 - 26189014280839*lu1^ 4 - 92445970025323*lu1^5 + 1141023548565560*lu1^6 + 308584626096100*lu1^7 - 4254692860488000*lu1^8)* (f44[t] + I*f44n[t])*g40[t] + 2*f40[t]* ((-101776521 + 2169884569*lu1 + 48537603476*lu1^2 - 705336908298*lu1^3 + 8166639571663*lu1^4 - 20300422111467* lu1^5 - 260894372603634*lu1^6 + 724121995357500*lu1^7 + 2187624779481400*lu1^8)*(f44[t] + I*f44n[t]) + 231*(148266 - 775881*lu1 - 173624158*lu1^2 - 180942018*lu1^3 + 45571098754*lu1^4 + 118903551503*lu1^5 - 2228801351742* lu1^6 - 1234345570700*lu1^7 + 6673789630200*lu1^8)*(g44[t] + I*g44n[t])))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar*(44*(308331 + 3631197*lu1 - 418922228*lu1^2 - 1191450266*lu1^3 + 99741629131*lu1^4 + 256585885937*lu1^5 - 4809243456410*lu1^6 - 3111679949300*lu1^7 + 14233212175000*lu1^8)*f40[t]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((-143472303 + 240556429*lu1 + 120621740634*lu1^2 + 883937453318*lu1^3 - 7268358207203*lu1^4 - 65989960428711*lu1^ 5 + 325988771068760*lu1^6 - 190479248292300*lu1^7 - 2024841160104000*lu1^8)*(f44[t] + I*f44n[t])*g40[t] + 2*f40[t]*((-85338126 - 380796857*lu1 + 107760370810*lu1^2 + 97554681174*lu1^3 - 14194920690766*lu1^4 + 96196610660711* lu1^5 - 224388673229742*lu1^6 - 52545124131500*lu1^7 + 1738544993126200*lu1^8)*(f44[t] + I*f44n[t]) + 77*(166815 - 3388941*lu1 - 143139736*lu1^2 + 1854592842*lu1^3 + 24046642711*lu1^4 - 153628010977*lu1^5 - 926558843958*lu1^6 + 3196367490100*lu1^7 + 8553231409800*lu1^8)*(g44[t] + I*g44n[t])))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (Sqrt[5/42]*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*f40[t]*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*f40[t] - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*g40[t]) - 4*(23 + 1751*lu1)* (-3 + 13*lu1 + 38*lu1^2)^2*f40[t]*(g44[t] - I*g44n[t]))))/ (77*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (405*Sqrt[15/14]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*g40[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*f40[t]*(g44[t] - I*g44n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (1215*Sqrt[15/14]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)*f40[t]*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f44[t] - I*f44n[t])* (3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*g40[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (Sqrt[5/42]*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*f40[t] + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*g40[t]) + 5*(51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*f40[t]*(g44[t] - I*g44n[t]))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (27*Sqrt[15/14]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* f40[t]*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*g40[t]) - 20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*Sqrt[15/14]*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (-5*(f44[t] - I*f44n[t])*((-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*f40[t] + (-51 - 1936*lu1 + 9993*lu1^2 + 27322*lu1^3)*g40[t]) + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*f40[t]*(g44[t] - I*g44n[t]))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*Sqrt[70/3]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*f40[t] + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*g40[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (9*Sqrt[15/14]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*g40[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*f40[t]*(g44[t] - I*g44n[t]))))/ (2002*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar*(-5*(-116918601 + 716561449*lu1 + 95036079206*lu1^2 + 294575550630*lu1^3 - 4658875181325*lu1^4 - 23136183575907*lu1^5 - 14075246838112*lu1^6 + 23915242536612* lu1^7 + 2648959897920*lu1^8)*f40[t]*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-297965886 + 2374427053*lu1 + 190634665124*lu1^2 + 1087360054570*lu1^3 - 1434657534890* lu1^4 - 144436666965747*lu1^5 - 34335087477204*lu1^6 + 724542664914868*lu1^7 + 560849877678720*lu1^8)*f40[t] + 4*(970083 - 41864796*lu1 - 628415250*lu1^2 + 2909863660*lu1^3 + 109695566915*lu1^4 - 302000270584*lu1^5 - 2037245830812* lu1^6 + 401330037840*lu1^7 + 4908239341600*lu1^8)*g40[t]) - 77*(-3 + 13*lu1 + 38*lu1^2)^2*(29019 - 100079*lu1 - 25734673*lu1^2 - 123027773*lu1^3 + 1267272930*lu1^4)*f40[t]* (g44[t] - I*g44n[t]))))/(22022*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (15*Sqrt[15/14]*lu1*mar*((322125453 + 921793179*lu1 - 303705621750*lu1^2 - 2523453416750*lu1^3 + 21574651557585*lu1^4 + 85596680241591*lu1^5 + 11572839733768*lu1^6 - 42416907637620* lu1^7 + 155696530668000*lu1^8)*f40[t]*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-129130938 - 2496686169*lu1 + 139176124648*lu1^2 + 2227210873070*lu1^3 - 9134754975030* lu1^4 - 115235449482041*lu1^5 + 35628506067632*lu1^6 + 809925882464076*lu1^7 + 738125646053040*lu1^8)*f40[t] + 20*(58158 - 3934125*lu1 - 141937842*lu1^2 + 1610354150*lu1^3 + 6747698110*lu1^4 - 50940934229*lu1^5 - 114800196570*lu1^6 + 107252008116*lu1^7 + 218311057160*lu1^8)*g40[t]) - 77*(-3 + 13*lu1 + 38*lu1^2)^2*(66282 - 281389*lu1 - 58690334*lu1^2 - 236286661*lu1^3 + 3218294310*lu1^4)*f40[t]* (g44[t] - I*g44n[t]))))/(22022*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (30*Sqrt[210]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*f40[t]*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*f40[t] - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*g40[t]) - 210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (5*Sqrt[15/14]*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*f40[t] - 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*g40[t]) - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*f40[t]*(g44[t] - I*g44n[t]))))/ (77*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) - (3*Sqrt[15/14]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*g40[t]) - 12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (30*Sqrt[210]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*f40[t]*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (6*(f44[t] - I*f44n[t])*((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*f40[t] - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*g40[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (3*Sqrt[15/14]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* (4*(f44[t] - I*f44n[t])*(2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*g40[t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[70/3]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*f40[t]*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (4*(f44[t] - I*f44n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*f40[t] + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*g40[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar*((-28795881 + 143795994*lu1 + 6084286642*lu1^2 + 16287917496*lu1^3 - 1306262897*lu1^4 - 15063131418*lu1^5 - 2545049360*lu1^6)*f40[t]*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* (3*(f44[t] - I*f44n[t])*((-27796 + 40217079*lu1 - 563962603* lu1^2 - 6849123929*lu1^3 - 2545972317*lu1^4 + 15373020182* lu1^5 + 13492065320*lu1^6)*f40[t] - 35*(-3 + 13*lu1 + 38*lu1^2)^2*(1051 + 21740*lu1 + 48985*lu1^2)*g40[t]) + 20*(-25848 + 238731*lu1 + 4959335*lu1^2 - 11092515*lu1^3 - 140737255*lu1^4 - 82163916*lu1^5 + 239825372*lu1^6)*f40[t]* (g44[t] - I*g44n[t]))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (15*Sqrt[15/14]*lu1*mar*((-11386113 + 49370234*lu1 + 2546214282*lu1^2 + 11846767696*lu1^3 + 12690683423*lu1^4 - 11305082802*lu1^5 - 11842627520*lu1^6)*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-1930848 + 63173915*lu1 - 590529355* lu1^2 - 10133266945*lu1^3 - 21026869705*lu1^4 + 23946550394*lu1^5 + 46967053280*lu1^6)*f40[t] - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(13690 + 342641*lu1 + 1153045*lu1^2)*g40[t]) + 8*(-55224 + 677661*lu1 + 8765903*lu1^2 - 54679731*lu1^3 - 128394043*lu1^4 + 196179858*lu1^5 + 353463080*lu1^6)*f40[t]*(g44[t] - I*g44n[t]))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar* (20*(219 - 34042*lu1 - 334812*lu1^2 + 3269446*lu1^3 + 127594349*lu1^4 + 1031110788*lu1^5 + 546038980*lu1^6)*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(f44[t] - I*f44n[t])*((-3793500 + 44422085*lu1 + 827783181* lu1^2 - 2573276753*lu1^3 - 49442857249*lu1^4 - 307998768* lu1^5 + 193484873260*lu1^6)*f40[t] - 35*(13785 + 42034*lu1 - 4003020*lu1^2 - 22722382*lu1^3 + 140932135*lu1^4 + 710749884*lu1^5 + 740503340*lu1^6)*g40[t]) + (-2699619 + 6765508*lu1 + 896965104*lu1^2 + 3034101590*lu1^3 - 21843611597*lu1^4 - 11432881578*lu1^5 + 43732894160*lu1^6)* f40[t]*(g44[t] - I*g44n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) - (15*Sqrt[15/14]*lu1*mar* (4*(-10002 + 96835*lu1 - 99609*lu1^2 - 6804655*lu1^3 + 338176243*lu1^4 + 2514465960*lu1^5 + 5203970300*lu1^6)*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (6*(f44[t] - I*f44n[t])*((-462945 + 3948174*lu1 + 167971468* lu1^2 - 593961138*lu1^3 - 7638227295*lu1^4 - 1007308508* lu1^5 + 18364141620*lu1^6)*f40[t] - 7*(-13638 - 162251*lu1 + 6769617*lu1^2 + 24521639*lu1^3 - 458644115*lu1^4 + 226917000*lu1^5 + 2371950500*lu1^6)*g40[t]) + (-2024607 - 1610036*lu1 + 757154856*lu1^2 + 3496059206*lu1^3 - 30785162825*lu1^4 - 25962575394*lu1^5 + 96608638160*lu1^6)* f40[t]*(g44[t] - I*g44n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (15*Sqrt[15/14]*lu1*mar* (44*(-1 + 7*lu1 + 170*lu1^2)^2*(-28992 - 686173*lu1 - 100413*lu1^2 + 2934330*lu1^3)*f40[t]*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])* (2*(-4023726 + 226863745*lu1 - 2196272845*lu1^2 - 5510169871* lu1^3 + 331523892971*lu1^4 - 1741102034206*lu1^5 + 2148985196660*lu1^6 + 12019266637000*lu1^7)*f40[t] - (-2112309 + 58683828*lu1 - 1387485668*lu1^2 - 20947024014* lu1^3 + 37911992861*lu1^4 + 311282867218*lu1^5 + 2814494053740*lu1^6 + 4973879283800*lu1^7)*g40[t]) - 32*(-16749 + 324918*lu1 + 4224976*lu1^2 - 70312386*lu1^3 - 417385135*lu1^4 + 2873352676*lu1^5 + 7238963700*lu1^6 + 882694400*lu1^7)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar* (330*(-1 + 7*lu1 + 170*lu1^2)^2*(-3159 - 72672*lu1 + 31237*lu1^2 + 163730*lu1^3)*f40[t]*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])* (2*(-6706566 + 212855505*lu1 - 1325318821*lu1^2 - 7479461343* lu1^3 + 429728235595*lu1^4 - 1892518938958*lu1^5 - 2007739535820*lu1^6 + 10810027669000*lu1^7)*f40[t] - 3*(308967 + 47043430*lu1 - 746174382*lu1^2 - 16382896732* lu1^3 + 11999490091*lu1^4 + 477395035638*lu1^5 + 1221682549940*lu1^6 + 865058413800*lu1^7)*g40[t]) + 16*(14463 - 760320*lu1 + 4394848*lu1^2 + 185374734*lu1^3 - 1351790395*lu1^4 - 13719494006*lu1^5 + 66305292300*lu1^6 + 173899388600*lu1^7)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar* (330*(-1 + 7*lu1 + 170*lu1^2)^2*(-3159 - 72672*lu1 + 31237*lu1^2 + 163730*lu1^3)*f40[t]*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((-6706566 + 212855505*lu1 - 1325318821*lu1^2 - 7479461343* lu1^3 + 429728235595*lu1^4 - 1892518938958*lu1^5 - 2007739535820*lu1^6 + 10810027669000*lu1^7)*f40[t] + 8*(14463 - 760320*lu1 + 4394848*lu1^2 + 185374734*lu1^3 - 1351790395*lu1^4 - 13719494006*lu1^5 + 66305292300*lu1^6 + 173899388600*lu1^7)*g40[t]) - 3*(308967 + 47043430*lu1 - 746174382*lu1^2 - 16382896732*lu1^3 + 11999490091*lu1^4 + 477395035638*lu1^5 + 1221682549940*lu1^6 + 865058413800*lu1^7)* f40[t]*(g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (15*Sqrt[15/14]*lu1*mar*(44*(-1 + 7*lu1 + 170*lu1^2)^2* (-28992 - 686173*lu1 - 100413*lu1^2 + 2934330*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(f44[t] - I*f44n[t])*((-4023726 + 226863745*lu1 - 2196272845* lu1^2 - 5510169871*lu1^3 + 331523892971*lu1^4 - 1741102034206*lu1^5 + 2148985196660*lu1^6 + 12019266637000* lu1^7)*f40[t] - 16*(-16749 + 324918*lu1 + 4224976*lu1^2 - 70312386*lu1^3 - 417385135*lu1^4 + 2873352676*lu1^5 + 7238963700*lu1^6 + 882694400*lu1^7)*g40[t]) - (-2112309 + 58683828*lu1 - 1387485668*lu1^2 - 20947024014*lu1^3 + 37911992861*lu1^4 + 311282867218*lu1^5 + 2814494053740*lu1^6 + 4973879283800*lu1^7)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (15*Sqrt[15/14]*lu1*mar* (44*(442998 - 5662779*lu1 - 316441994*lu1^2 + 2371679962*lu1^3 + 51660063358*lu1^4 - 68145205459*lu1^5 - 1528939763450*lu1^6 - 2028333659300*lu1^7 + 547200913000*lu1^8)*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(2*(-101776521 + 2169884569*lu1 + 48537603476*lu1^2 - 705336908298*lu1^3 + 8166639571663* lu1^4 - 20300422111467*lu1^5 - 260894372603634*lu1^6 + 724121995357500*lu1^7 + 2187624779481400*lu1^8)*f40[t] + (-133993299 - 658127543*lu1 + 148303165442*lu1^2 + 1183073994014*lu1^3 - 26189014280839*lu1^4 - 92445970025323* lu1^5 + 1141023548565560*lu1^6 + 308584626096100*lu1^7 - 4254692860488000*lu1^8)*g40[t]) + 462*(148266 - 775881*lu1 - 173624158*lu1^2 - 180942018*lu1^3 + 45571098754*lu1^4 + 118903551503*lu1^5 - 2228801351742*lu1^6 - 1234345570700*lu1^ 7 + 6673789630200*lu1^8)*f40[t]*(g44[t] - I*g44n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar* (44*(308331 + 3631197*lu1 - 418922228*lu1^2 - 1191450266*lu1^3 + 99741629131*lu1^4 + 256585885937*lu1^5 - 4809243456410*lu1^6 - 3111679949300*lu1^7 + 14233212175000*lu1^8)*f40[t]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(2*(-85338126 - 380796857*lu1 + 107760370810*lu1^2 + 97554681174*lu1^3 - 14194920690766* lu1^4 + 96196610660711*lu1^5 - 224388673229742*lu1^6 - 52545124131500*lu1^7 + 1738544993126200*lu1^8)*f40[t] + (-143472303 + 240556429*lu1 + 120621740634*lu1^2 + 883937453318*lu1^3 - 7268358207203*lu1^4 - 65989960428711* lu1^5 + 325988771068760*lu1^6 - 190479248292300*lu1^7 - 2024841160104000*lu1^8)*g40[t]) + 154*(166815 - 3388941*lu1 - 143139736*lu1^2 + 1854592842*lu1^3 + 24046642711*lu1^4 - 153628010977*lu1^5 - 926558843958*lu1^6 + 3196367490100*lu1^7 + 8553231409800*lu1^8)*f40[t]*(g44[t] - I*g44n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* ((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f42[t] + I*f42n[t]) - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(g42[t] + I*g42n[t])) - 4*(23 + 1751*lu1)* (-3 + 13*lu1 + 38*lu1^2)^2*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (135*Sqrt[2/7]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] + I*f42n[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(g42[t] + I*g42n[t])) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (11011*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (405*Sqrt[2/7]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*(2*(f44[t] - I*f44n[t])*(3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] + I*f42n[t]) + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*(g42[t] + I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (11011*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* (-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f42[t] + I*f42n[t]) + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*( g42[t] + I*g42n[t])) + 5*(51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (77*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (15*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f42[t] + I*f42n[t]) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)*(g42[t] + I*g42n[t])) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (405*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] + I*f42n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(g42[t] + I*g42n[t])) - 20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (15*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f42[t] + I*f42n[t]) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)*(g42[t] + I*g42n[t])) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (77*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (15*Sqrt[14]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] + I*f42n[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*(g42[t] + I*g42n[t])) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (20*Sqrt[14]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] + I*f42n[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*(g42[t] + I*g42n[t])) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (135*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* ((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] + I*f42n[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*( g42[t] + I*g42n[t])) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (15*(-1 + 5*lu1)*mar*(2*(9853122 - 208038935*lu1 - 7054829398*lu1^2 + 106266174730*lu1^3 + 2312872955130*lu1^4 + 6125341835209*lu1^5 - 178830700390*lu1^6 - 2927714992916*lu1^7 + 3680543505240*lu1^8)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-9956724 + 67732453*lu1 - 5751024166*lu1^2 + 238501081090*lu1^3 - 3260805099740*lu1^4 - 37274219475243*lu1^5 + 4340943818166*lu1^6 + 120615611832508* lu1^7 + 69845797003080*lu1^8)*(f42[t] + I*f42n[t]) - 2*(61533 + 32161257*lu1 - 326892816*lu1^2 - 5997505690*lu1^3 + 557790365*lu1^4 - 64048224699*lu1^5 + 1500754846254*lu1^6 + 3692643174268*lu1^7 + 694058366680*lu1^8)*(g42[t] + I*g42n[t])) - 77*(-3 + 13*lu1 + 38*lu1^2)^2* (10056 - 48629*lu1 - 8423512*lu1^2 - 35368145*lu1^3 + 162312150*lu1^4)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (11011*Sqrt[14]*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (225*lu1*mar*(2*(4054797 - 67756677*lu1 - 3159933796*lu1^2 + 73859810290*lu1^3 + 1053100422325*lu1^4 + 3525194438159*lu1^5 + 1361531919226*lu1^6 - 1229956125212*lu1^7 + 8132075630280*lu1^8)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-10082988 - 177973437*lu1 + 8602474518*lu1^2 - 52906663970*lu1^3 - 796451193460*lu1^4 - 20141634304701*lu1^5 - 15100731363254*lu1^6 + 101979082357796* lu1^7 + 88145927855160*lu1^8)*(f42[t] + I*f42n[t]) - 2*(701730 + 2156571*lu1 - 114496902*lu1^2 - 2842606330*lu1^3 - 22153333990*lu1^4 + 178695617235*lu1^5 + 509687579802*lu1^6 + 455737753636*lu1^7 + 573204267160*lu1^8)*(g42[t] + I*g42n[t])) - 77*(-3 + 13*lu1 + 38*lu1^2)^2* (11640 - 24251*lu1 - 10361032*lu1^2 - 62699135*lu1^3 + 419623050*lu1^4)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (11011*Sqrt[14]*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (60*Sqrt[14]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* (6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] + I*f42n[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(g42[t] + I*g42n[t])) - 210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (15*Sqrt[7/2]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* (4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] + I*f42n[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(g42[t] + I*g42n[t])) + 168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (45*Sqrt[2/7]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*((f44[t] - I*f44n[t])*(8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] + I*f42n[t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(g42[t] + I*g42n[t])) - 12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (11011*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (60*Sqrt[14]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]*(6*(f44[t] - I*f44n[t])* ((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] + I*f42n[t]) - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(g42[t] + I*g42n[t])) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (45*Sqrt[2/7]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*(4*(f44[t] - I*f44n[t])*(2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] + I*f42n[t]) - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*( g42[t] + I*g42n[t])) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (11011*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (10*Sqrt[14]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]*(4*(f44[t] - I*f44n[t])* ((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] + I*f42n[t]) + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(g42[t] + I*g42n[t])) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (225*lu1*mar*(2*(893004 + 5895596*lu1 - 848514103*lu1^2 - 13136630097*lu1^3 - 19237565935*lu1^4 + 12505039241*lu1^5 + 28151249910*lu1^6)*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-483609 - 25861681*lu1 + 743238745*lu1^2 + 34815639309*lu1^3 + 56159271284*lu1^4 - 159662242280*lu1^5 - 489039489960*lu1^6)*(f42[t] + I*f42n[t]) + 11*(11088 + 174501*lu1 - 11503883*lu1^2 - 224469977*lu1^3 + 266365595*lu1^4 + 7803202664*lu1^5 + 12934119660*lu1^6)*(g42[t] + I*g42n[t])) - 4*(-36846 + 247005*lu1 + 21393521*lu1^2 - 47744569*lu1^3 - 1027428923*lu1^4 + 1846242976*lu1^5 + 7088211060*lu1^6)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^2*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (15*(-1 + 5*lu1)*mar*(2*(-1696104 + 899172*lu1 + 1516602347*lu1^2 + 12546390389*lu1^3 + 19839084271*lu1^4 - 27196858733*lu1^5 - 24798820830*lu1^6)*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* g20[t] + f20[t]*(3*(f44[t] - I*f44n[t])*((807171 + 1348075*lu1 - 854255699*lu1^2 - 6148598959*lu1^3 - 43243514188*lu1^4 + 61760014920*lu1^5 + 130131169560*lu1^6)*(f42[t] + I*f42n[t]) - 11*(10089 - 47574*lu1 - 8546012*lu1^2 - 37838606*lu1^3 + 245301047*lu1^4 + 1740698084*lu1^5 + 2332051260*lu1^6)*(g42[t] + I*g42n[t])) + 4*(-26289 - 397044*lu1 + 27023978*lu1^2 + 129682784*lu1^3 - 2394102893*lu1^4 + 1821460348*lu1^5 + 13813387980*lu1^6)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^2*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (15*(-1 + 5*lu1)*mar*(22*(1803 - 68084*lu1 - 1655846*lu1^2 - 7259184*lu1^3 + 461887591*lu1^4 + 5152857820*lu1^5 + 6027695100*lu1^6)*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-1247715 - 2629823*lu1 + 1230039763*lu1^2 + 16036563327*lu1^3 - 188184483452*lu1^4 - 354974332100*lu1^5 + 1277400474000*lu1^6)*(f42[t] + I*f42n[t]) - 11*(12147 - 105418*lu1 - 12027460*lu1^2 - 2309898*lu1^3 + 2110270253*lu1^4 + 14009498900*lu1^5 + 24343865700*lu1^6)*(g42[t] + I*g42n[t])) + (-862329 - 3395318*lu1 + 827816710*lu1^2 + 10027663332*lu1^3 + 6188748739*lu1^4 - 371224505510*lu1^5 + 280198871400*lu1^6)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 + 29*lu1 + 2310*lu1^2)* Pi) - (225*lu1*mar*(22*(894 - 42329*lu1 - 2016749*lu1^2 + 15990741*lu1^3 + 365478247*lu1^4 + 1047918640*lu1^5 + 4962692700*lu1^6)*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* g20[t] + f20[t]*(3*(f44[t] - I*f44n[t])*((-459569 + 6916431*lu1 + 351555509*lu1^2 - 1949705055*lu1^3 + 11245744056*lu1^4 - 38791174540*lu1^5 + 145445468000*lu1^6)*(f42[t] + I*f42n[t]) - 11*(-2184 - 9395*lu1 + 2809333*lu1^2 + 22239255*lu1^3 - 730894973*lu1^4 - 5003519600*lu1^5 + 18444726300*lu1^6)*(g42[t] + I*g42n[t])) + (-612711 - 5336216*lu1 + 661131424*lu1^2 + 10166999886*lu1^3 - 40396802801*lu1^4 - 474909518630*lu1^5 + 685867765800*lu1^6)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 + 29*lu1 + 2310*lu1^2)* Pi) + (225*lu1*mar*(77*(-1 + 7*lu1 + 170*lu1^2)^2* (-11211 - 261284*lu1 + 66621*lu1^2 + 1387890*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-15574503 + 202027834*lu1 - 3630933054*lu1^2 - 878343808*lu1^3 + 256477874449*lu1^4 - 989547211482*lu1^5 + 4081588181420*lu1^6 + 18078109816200* lu1^7)*(f42[t] + I*f42n[t]) - 2*(815838 + 99611166*lu1 + 261218141*lu1^2 - 5562458403*lu1^3 + 14046178393*lu1^4 + 359877732221*lu1^5 + 1225756884720*lu1^6 + 1479108880900* lu1^7)*(g42[t] + I*g42n[t])) - 2*(-281178 + 3940299*lu1 + 73159721*lu1^2 - 684980253*lu1^3 - 6728792831*lu1^4 + 15694281038*lu1^5 + 111492570300*lu1^6 + 230400398200*lu1^7)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar* (231*(-1 + 7*lu1 + 170*lu1^2)^2*(-3282 - 73463*lu1 + 81967*lu1^2 + 215530*lu1^3)*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-12666123 + 114905870*lu1 - 5296906970*lu1^2 + 40715277292*lu1^3 + 210258132913*lu1^4 - 329594841338*lu1^5 - 5249338813460*lu1^6 + 14050750166600* lu1^7)*(f42[t] + I*f42n[t]) + 2*(108261 - 4517040*lu1 + 41833240*lu1^2 + 825009606*lu1^3 - 11544668041*lu1^4 - 57703015094*lu1^5 + 516313247700*lu1^6 + 921643885400*lu1^7)*( g42[t] + I*g42n[t])) - 2*(2159622 + 113836180*lu1 - 276732113*lu1^2 - 8935839109*lu1^3 + 24672584655*lu1^4 + 695193188161*lu1^5 + 1362703140440*lu1^6 + 834085231700*lu1^7)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar* (231*(-1 + 7*lu1 + 170*lu1^2)^2*(-3282 - 73463*lu1 + 81967*lu1^2 + 215530*lu1^3)*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-12666123 + 114905870*lu1 - 5296906970*lu1^2 + 40715277292*lu1^3 + 210258132913*lu1^4 - 329594841338*lu1^5 - 5249338813460*lu1^6 + 14050750166600* lu1^7)*(f42[t] + I*f42n[t]) - 2*(2159622 + 113836180*lu1 - 276732113*lu1^2 - 8935839109*lu1^3 + 24672584655*lu1^4 + 695193188161*lu1^5 + 1362703140440*lu1^6 + 834085231700* lu1^7)*(g42[t] + I*g42n[t])) + 2*(108261 - 4517040*lu1 + 41833240*lu1^2 + 825009606*lu1^3 - 11544668041*lu1^4 - 57703015094*lu1^5 + 516313247700*lu1^6 + 921643885400*lu1^7)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (225*lu1*mar*(77*(-1 + 7*lu1 + 170*lu1^2)^2*(-11211 - 261284*lu1 + 66621*lu1^2 + 1387890*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* ((-15574503 + 202027834*lu1 - 3630933054*lu1^2 - 878343808* lu1^3 + 256477874449*lu1^4 - 989547211482*lu1^5 + 4081588181420*lu1^6 + 18078109816200*lu1^7)*(f42[t] + I*f42n[t]) - 2*(-281178 + 3940299*lu1 + 73159721*lu1^2 - 684980253*lu1^3 - 6728792831*lu1^4 + 15694281038*lu1^5 + 111492570300*lu1^6 + 230400398200*lu1^7)*(g42[t] + I*g42n[t])) - 2*(815838 + 99611166*lu1 + 261218141*lu1^2 - 5562458403*lu1^3 + 14046178393*lu1^4 + 359877732221*lu1^5 + 1225756884720*lu1^6 + 1479108880900*lu1^7)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^ 3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar*(44*(11061 + 907359*lu1 - 23683004*lu1^2 - 92013022*lu1^3 + 4258952469*lu1^4 - 6237988101*lu1^5 - 264724935766*lu1^6 + 154027249380*lu1^7 + 1634445079400*lu1^8)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-798426 + 39846877*lu1 + 3510642878*lu1^2 - 241253029158*lu1^3 + 883778676910*lu1^4 + 16337471407125*lu1^5 - 52162878855234*lu1^6 + 5219610714780* lu1^7 + 280901317501000*lu1^8)*(f42[t] + I*f42n[t]) - (345969 - 44592839*lu1 + 1220164724*lu1^2 + 42177308462*lu1^3 + 505794298241*lu1^4 - 1118316717859*lu1^5 - 13154432855614* lu1^6 + 65161455831340*lu1^7 + 141634864631400*lu1^8)*( g42[t] + I*g42n[t])) + 231*(14886 - 285867*lu1 - 12897994*lu1^2 + 147365434*lu1^3 + 2147160750*lu1^4 - 9407314819*lu1^5 - 68702026010*lu1^6 + 111518511900*lu1^7 + 393732801000*lu1^8)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/(11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (225*lu1*mar*(44*(28782 - 78447*lu1 - 10750058*lu1^2 - 15400654*lu1^3 + 1717593798*lu1^4 + 725004153*lu1^5 - 116340453562*lu1^6 - 50539249140*lu1^7 + 225041637800*lu1^8)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((3009930 - 28511309*lu1 - 5278765774*lu1^2 + 28001361366*lu1^3 - 107513934158*lu1^4 + 2611077558123*lu1^5 - 19363573673598*lu1^6 + 130783122602340* lu1^7 + 377105143958200*lu1^8)*(f42[t] + I*f42n[t]) - (3014385 - 5412311*lu1 - 3193029020*lu1^2 + 24150184718*lu1^3 + 1259848844193*lu1^4 + 2921375388301*lu1^5 - 63959908129678* lu1^6 + 6524729556140*lu1^7 + 280848915484200*lu1^8)*( g42[t] + I*g42n[t])) + 231*(21888 - 124083*lu1 - 25362590*lu1^2 - 20395758*lu1^3 + 6566581832*lu1^4 + 17245443805*lu1^5 - 315125112330*lu1^6 - 211396646500*lu1^7 + 871554453000*lu1^8)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/(11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f44[t] + I*f44n[t]) - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(g44[t] + I*g44n[t])) - 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (135*Sqrt[3]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f44[t] + I*f44n[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(g44[t] + I*g44n[t])) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (405*Sqrt[3]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f44[t] - I*f44n[t])* (3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f44[t] + I*f44n[t]) + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*(g44[t] + I*g44n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*(-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f44[t] + I*f44n[t]) + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(g44[t] + I*g44n[t])) + 5*(51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*Sqrt[3]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f44[t] + I*f44n[t]) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)*(g44[t] + I*g44n[t])) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*Sqrt[3]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f44[t] + I*f44n[t]) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)*(g44[t] + I*g44n[t])) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (405*Sqrt[3]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f44[t] + I*f44n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(g44[t] + I*g44n[t])) - 20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (-5*(f44[t] - I*f44n[t])*((-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f44[t] + I*f44n[t]) + (-51 - 1936*lu1 + 9993*lu1^2 + 27322*lu1^3)*(g44[t] + I*g44n[t])) + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*Sqrt[3]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f44[t] + I*f44n[t]) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)*(g44[t] + I*g44n[t])) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*Sqrt[3]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f44[t] + I*f44n[t]) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)*(g44[t] + I*g44n[t])) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*Sqrt[3]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f44[t] + I*f44n[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*(g44[t] + I*g44n[t])) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (10*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f44[t] + I*f44n[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*(g44[t] + I*g44n[t])) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (1573*Sqrt[3]*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)* Pi) + (10*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f44[t] + I*f44n[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*(g44[t] + I*g44n[t])) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (1573*Sqrt[3]*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)* Pi) + (10*Sqrt[3]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f44[t] + I*f44n[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*(g44[t] + I*g44n[t])) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (135*Sqrt[3]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f44[t] + I*f44n[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*(g44[t] + I*g44n[t])) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (75*Sqrt[3]*lu1*mar*(2*(4350 + 20593*lu1 - 1272130*lu1^2 - 7450007*lu1^3 + 29805930*lu1^4)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (3*(f44[t] - I*f44n[t])*((-1423 + 80432*lu1 - 6881603*lu1^2 - 43207918*lu1^3 + 424427920*lu1^4)*(f44[t] + I*f44n[t]) + (9852 + 49649*lu1 - 9178964*lu1^2 - 109701883*lu1^3 + 148124130*lu1^4)*(g44[t] + I*g44n[t])) - 28*(837 + 15556*lu1 - 583879*lu1^2 - 8207906*lu1^3 + 24780000*lu1^4)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 + 29*lu1 + 2310*lu1^2)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*((104002293 - 1132117829*lu1 - 93239688154*lu1^2 + 195302515570*lu1^3 + 11759433442545*lu1^4 + 34331039445991*lu1^5 + 2420970520532*lu1^6 - 34265752344068* lu1^7 - 7668489412080*lu1^8)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*((-19664331 - 126366389*lu1 + 21024133334* lu1^2 + 272461205890*lu1^3 - 3157605493055*lu1^4 - 42568240687737*lu1^5 - 15980012785068*lu1^6 + 119150619731068* lu1^7 + 103547030215440*lu1^8)*(f44[t] + I*f44n[t]) + 4*(378324 - 6451551*lu1 - 334057914*lu1^2 + 2641681130*lu1^3 + 53276139620*lu1^4 - 141876528687*lu1^5 - 1327698704622* lu1^6 - 425887917668*lu1^7 + 2576579372920*lu1^8)*(g44[t] + I*g44n[t])) - 154*(-3 + 13*lu1 + 38*lu1^2)^2* (-1371 - 18712*lu1 + 1242217*lu1^2 + 25796714*lu1^3 + 94284960*lu1^4)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (75*Sqrt[3]*lu1*mar*(2*(4350 + 20593*lu1 - 1272130*lu1^2 - 7450007*lu1^3 + 29805930*lu1^4)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(3*(-1423 + 80432*lu1 - 6881603*lu1^2 - 43207918*lu1^3 + 424427920*lu1^4)*(f44[t] + I*f44n[t]) - 28*(837 + 15556*lu1 - 583879*lu1^2 - 8207906*lu1^3 + 24780000*lu1^4)*(g44[t] + I*g44n[t])) + 3*(9852 + 49649*lu1 - 9178964*lu1^2 - 109701883*lu1^3 + 148124130*lu1^4)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 + 29*lu1 + 2310*lu1^2)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(2*(2091 + 124309*lu1 - 1944169*lu1^2 - 19308281*lu1^3 + 104733090*lu1^4)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*((8865 - 672256*lu1 + 8379133*lu1^2 - 572039470*lu1^3 + 1520361360*lu1^4)*(f44[t] + I*f44n[t]) + (23781 - 129617*lu1 - 19518079*lu1^2 - 74909267*lu1^3 + 182852670*lu1^4)*(g44[t] + I*g44n[t])) - 2*(4953 + 24848*lu1 + 1776829*lu1^2 + 15127610*lu1^3 + 175166880*lu1^4)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 + 29*lu1 + 2310*lu1^2)*Pi) + (75*Sqrt[3]*lu1*mar*((-47530629 + 271252941*lu1 + 45430232098*lu1^2 + 102752516510*lu1^3 - 5800677101905*lu1^4 - 25917349116863*lu1^5 - 22852523960908*lu1^6 + 23115515058116*lu1^7 + 15020088546960* lu1^8)*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 2*(f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*((-3231927 - 345815643*lu1 + 8039162538* lu1^2 + 291735166150*lu1^3 - 1791844925275*lu1^4 - 24281164395999*lu1^5 - 33026696685176*lu1^6 + 87816575232596* lu1^7 + 125376186727680*lu1^8)*(f44[t] + I*f44n[t]) + 16*(82809 - 1740582*lu1 - 67444137*lu1^2 + 872310800*lu1^3 + 7690297955*lu1^4 - 52673147382*lu1^5 - 115847580039*lu1^6 + 199774421836*lu1^7 + 350495594260*lu1^8)*(g44[t] + I*g44n[t])) - 154*(-3 + 13*lu1 + 38*lu1^2)^2* (69 - 30850*lu1 + 4753*lu1^2 + 25501808*lu1^3 + 180092220*lu1^4)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* (2*(2091 + 124309*lu1 - 1944169*lu1^2 - 19308281*lu1^3 + 104733090*lu1^4)*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((8865 - 672256*lu1 + 8379133*lu1^2 - 572039470*lu1^3 + 1520361360*lu1^4)*(f44[t] + I*f44n[t]) - 2*(4953 + 24848*lu1 + 1776829*lu1^2 + 15127610*lu1^3 + 175166880*lu1^4)*(g44[t] + I*g44n[t])) + (23781 - 129617*lu1 - 19518079*lu1^2 - 74909267*lu1^3 + 182852670*lu1^4)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 + 29*lu1 + 2310*lu1^2)*Pi) - (10*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f44[t] + I*f44n[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(g44[t] + I*g44n[t])) - 210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (10*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f44[t] + I*f44n[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(g44[t] + I*g44n[t])) - 210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (5*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f44[t] + I*f44n[t]) - 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g44[t] + I*g44n[t])) - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (5*Sqrt[3]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f44[t] + I*f44n[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251* lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(g44[t] + I*g44n[t])) + 168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(143*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (5*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f44[t] + I*f44n[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251* lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(g44[t] + I*g44n[t])) + 168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(1573*Sqrt[3]*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (45*Sqrt[3]*mar* (27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*(8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f44[t] + I*f44n[t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(g44[t] + I*g44n[t])) - 12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (45*Sqrt[3]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])* (8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f44[t] + I*f44n[t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(g44[t] + I*g44n[t])) - 12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (10*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (6*(f44[t] - I*f44n[t])*((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f44[t] + I*f44n[t]) - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(g44[t] + I*g44n[t])) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (10*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (6*(f44[t] - I*f44n[t])*((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f44[t] + I*f44n[t]) - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(g44[t] + I*g44n[t])) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (45*Sqrt[3]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(4*(f44[t] - I*f44n[t])* (2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f44[t] + I*f44n[t]) - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(g44[t] + I*g44n[t])) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (45*Sqrt[3]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*(4*(f44[t] - I*f44n[t])* (2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f44[t] + I*f44n[t]) - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(g44[t] + I*g44n[t])) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (4*(f44[t] - I*f44n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f44[t] + I*f44n[t]) + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(g44[t] + I*g44n[t])) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(1573*Sqrt[3]*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (5*Sqrt[3]*mar* (84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (4*(f44[t] - I*f44n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f44[t] + I*f44n[t]) + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(g44[t] + I*g44n[t])) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(143*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (75*Sqrt[3]*lu1*mar*(7*(-3831 - 69362*lu1 + 2369008*lu1^2 + 10780806*lu1^3 - 199109381*lu1^4 - 230619332*lu1^5 + 1590270780*lu1^6)*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*((103281 + 1154921*lu1 - 76876253*lu1^2 - 236636697*lu1^3 - 1151604880*lu1^4 + 32901061420*lu1^5 + 19010248320*lu1^6)*(f44[t] + I*f44n[t]) - (-57924 + 248859*lu1 + 52567171*lu1^2 + 190958665*lu1^3 - 3834698479* lu1^4 + 707197448*lu1^5 + 17451454020*lu1^6)*(g44[t] + I*g44n[t])) - 8*(-1278 + 1449*lu1 + 460789*lu1^2 - 410717*lu1^3 - 31542943*lu1^4 + 69631784*lu1^5 + 254905140*lu1^6)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* ((-28773 + 76590*lu1 - 2562412*lu1^2 + 79417118*lu1^3 + 1397863981*lu1^4 + 145659508*lu1^5 + 3143434980*lu1^6)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(3*(f44[t] - I*f44n[t])* ((45363 - 559021*lu1 - 3694783*lu1^2 - 149073539*lu1^3 - 920316392*lu1^4 + 8575212420*lu1^5 + 4151538720*lu1^6)*( f44[t] + I*f44n[t]) + (15507 - 85752*lu1 - 13496986*lu1^2 - 41265148*lu1^3 + 732185011*lu1^4 + 689895772*lu1^5 - 1666854420*lu1^6)*(g44[t] + I*g44n[t])) - 8*(-576 - 31311*lu1 + 689017*lu1^2 + 3334531*lu1^3 - 58737097*lu1^4 + 60833072*lu1^5 + 371301420*lu1^6)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* ((-28773 + 76590*lu1 - 2562412*lu1^2 + 79417118*lu1^3 + 1397863981*lu1^4 + 145659508*lu1^5 + 3143434980*lu1^6)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*(3*(45363 - 559021*lu1 - 3694783*lu1^2 - 149073539*lu1^3 - 920316392*lu1^4 + 8575212420*lu1^5 + 4151538720*lu1^6)*(f44[t] + I*f44n[t]) - 8*(-576 - 31311*lu1 + 689017*lu1^2 + 3334531*lu1^3 - 58737097*lu1^4 + 60833072*lu1^5 + 371301420*lu1^6)*(g44[t] + I*g44n[t])) - 3*(-15507 + 85752*lu1 + 13496986*lu1^2 + 41265148*lu1^3 - 732185011*lu1^4 - 689895772*lu1^5 + 1666854420*lu1^6)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (75*Sqrt[3]*lu1*mar*(7*(-3831 - 69362*lu1 + 2369008*lu1^2 + 10780806*lu1^3 - 199109381*lu1^4 - 230619332*lu1^5 + 1590270780*lu1^6)*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((103281 + 1154921*lu1 - 76876253*lu1^2 - 236636697*lu1^3 - 1151604880*lu1^4 + 32901061420*lu1^5 + 19010248320*lu1^6)*(f44[t] + I*f44n[t]) - 8*(-1278 + 1449*lu1 + 460789*lu1^2 - 410717*lu1^3 - 31542943*lu1^4 + 69631784*lu1^5 + 254905140*lu1^6)*(g44[t] + I*g44n[t])) - (-57924 + 248859*lu1 + 52567171*lu1^2 + 190958665*lu1^3 - 3834698479*lu1^4 + 707197448*lu1^5 + 17451454020*lu1^6)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (75*Sqrt[3]*lu1*mar*(154*(-1 + 7*lu1 + 170*lu1^2)^2* (-3327 - 64958*lu1 + 347007*lu1^2 + 1197630*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((1807071 + 172256617*lu1 + 1266435135*lu1^2 - 28818213745* lu1^3 - 26826455426*lu1^4 + 92309788308*lu1^5 + 3761041299800*lu1^6 + 11758449897600*lu1^7)*(f44[t] + I*f44n[t]) - 2*(-77058 + 98307*lu1 + 52395425*lu1^2 + 5500251*lu1^3 - 8864036207*lu1^4 - 25342006786*lu1^5 + 269652608700*lu1^6 + 682343548600*lu1^7)*(g44[t] + I*g44n[t])) + (3411939 + 154034844*lu1 + 2927220232*lu1^2 + 15275204286*lu1^3 - 273310738807*lu1^4 - 2195513984258*lu1^5 - 2940366724500*lu1^6 - 499913087800*lu1^7)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (75*Sqrt[3]*lu1*mar*(154*(-1 + 7*lu1 + 170*lu1^2)^2* (-3327 - 64958*lu1 + 347007*lu1^2 + 1197630*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((1807071 + 172256617*lu1 + 1266435135*lu1^2 - 28818213745* lu1^3 - 26826455426*lu1^4 + 92309788308*lu1^5 + 3761041299800*lu1^6 + 11758449897600*lu1^7)*(f44[t] + I*f44n[t]) - 2*(-77058 + 98307*lu1 + 52395425*lu1^2 + 5500251*lu1^3 - 8864036207*lu1^4 - 25342006786*lu1^5 + 269652608700*lu1^6 + 682343548600*lu1^7)*(g44[t] + I*g44n[t])) + (3411939 + 154034844*lu1 + 2927220232*lu1^2 + 15275204286*lu1^3 - 273310738807*lu1^4 - 2195513984258*lu1^5 - 2940366724500*lu1^6 - 499913087800*lu1^7)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(462*(-1 + 7*lu1 + 170*lu1^2)^2* (471 + 14449*lu1 + 88444*lu1^2 + 180460*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (2*(800883 + 246494285*lu1 + 1441350619*lu1^2 - 66240768149* lu1^3 + 277570555006*lu1^4 + 530086902436*lu1^5 - 3313521260840*lu1^6 + 8181122163200*lu1^7)*(f44[t] + I*f44n[t]) + (5258493 + 160252850*lu1 + 2394663530*lu1^2 + 19956504208*lu1^3 - 362761187403*lu1^4 - 2624360133442* lu1^5 - 1831334599940*lu1^6 + 1420575457000*lu1^7)*(g44[t] + I*g44n[t])) + 4*(19809 - 525360*lu1 - 12846728*lu1^2 + 186448158*lu1^3 + 1604930603*lu1^4 - 3592253102*lu1^5 + 30940004100*lu1^6 - 152148425800*lu1^7)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(462*(-1 + 7*lu1 + 170*lu1^2)^2* (471 + 14449*lu1 + 88444*lu1^2 + 180460*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])* (2*(800883 + 246494285*lu1 + 1441350619*lu1^2 - 66240768149* lu1^3 + 277570555006*lu1^4 + 530086902436*lu1^5 - 3313521260840*lu1^6 + 8181122163200*lu1^7)*(f44[t] + I*f44n[t]) + (5258493 + 160252850*lu1 + 2394663530*lu1^2 + 19956504208*lu1^3 - 362761187403*lu1^4 - 2624360133442* lu1^5 - 1831334599940*lu1^6 + 1420575457000*lu1^7)*(g44[t] + I*g44n[t])) + 4*(19809 - 525360*lu1 - 12846728*lu1^2 + 186448158*lu1^3 + 1604930603*lu1^4 - 3592253102*lu1^5 + 30940004100*lu1^6 - 152148425800*lu1^7)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (75*Sqrt[3]*lu1*mar*(154*(-1 + 7*lu1 + 170*lu1^2)^2* (-3327 - 64958*lu1 + 347007*lu1^2 + 1197630*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (2*(1807071 + 172256617*lu1 + 1266435135*lu1^2 - 28818213745* lu1^3 - 26826455426*lu1^4 + 92309788308*lu1^5 + 3761041299800*lu1^6 + 11758449897600*lu1^7)*(f44[t] + I*f44n[t]) + (3411939 + 154034844*lu1 + 2927220232*lu1^2 + 15275204286*lu1^3 - 273310738807*lu1^4 - 2195513984258* lu1^5 - 2940366724500*lu1^6 - 499913087800*lu1^7)*(g44[t] + I*g44n[t])) - 4*(-77058 + 98307*lu1 + 52395425*lu1^2 + 5500251*lu1^3 - 8864036207*lu1^4 - 25342006786*lu1^5 + 269652608700*lu1^6 + 682343548600*lu1^7)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (75*Sqrt[3]*lu1*mar*(154*(-1 + 7*lu1 + 170*lu1^2)^2* (-3327 - 64958*lu1 + 347007*lu1^2 + 1197630*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])* (2*(1807071 + 172256617*lu1 + 1266435135*lu1^2 - 28818213745* lu1^3 - 26826455426*lu1^4 + 92309788308*lu1^5 + 3761041299800*lu1^6 + 11758449897600*lu1^7)*(f44[t] + I*f44n[t]) + (3411939 + 154034844*lu1 + 2927220232*lu1^2 + 15275204286*lu1^3 - 273310738807*lu1^4 - 2195513984258* lu1^5 - 2940366724500*lu1^6 - 499913087800*lu1^7)*(g44[t] + I*g44n[t])) - 4*(-77058 + 98307*lu1 + 52395425*lu1^2 + 5500251*lu1^3 - 8864036207*lu1^4 - 25342006786*lu1^5 + 269652608700*lu1^6 + 682343548600*lu1^7)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(462*(-1 + 7*lu1 + 170*lu1^2)^2* (471 + 14449*lu1 + 88444*lu1^2 + 180460*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((800883 + 246494285*lu1 + 1441350619*lu1^2 - 66240768149* lu1^3 + 277570555006*lu1^4 + 530086902436*lu1^5 - 3313521260840*lu1^6 + 8181122163200*lu1^7)*(f44[t] + I*f44n[t]) + 2*(19809 - 525360*lu1 - 12846728*lu1^2 + 186448158*lu1^3 + 1604930603*lu1^4 - 3592253102*lu1^5 + 30940004100*lu1^6 - 152148425800*lu1^7)*(g44[t] + I*g44n[t])) + (5258493 + 160252850*lu1 + 2394663530*lu1^2 + 19956504208*lu1^3 - 362761187403*lu1^4 - 2624360133442*lu1^5 - 1831334599940*lu1^6 + 1420575457000*lu1^7)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(462*(-1 + 7*lu1 + 170*lu1^2)^2* (471 + 14449*lu1 + 88444*lu1^2 + 180460*lu1^3)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((800883 + 246494285*lu1 + 1441350619*lu1^2 - 66240768149* lu1^3 + 277570555006*lu1^4 + 530086902436*lu1^5 - 3313521260840*lu1^6 + 8181122163200*lu1^7)*(f44[t] + I*f44n[t]) + 2*(19809 - 525360*lu1 - 12846728*lu1^2 + 186448158*lu1^3 + 1604930603*lu1^4 - 3592253102*lu1^5 + 30940004100*lu1^6 - 152148425800*lu1^7)*(g44[t] + I*g44n[t])) + (5258493 + 160252850*lu1 + 2394663530*lu1^2 + 19956504208*lu1^3 - 362761187403*lu1^4 - 2624360133442*lu1^5 - 1831334599940*lu1^6 + 1420575457000*lu1^7)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (75*Sqrt[3]*lu1*mar*(-88*(-10638 + 170301*lu1 + 9051578*lu1^2 - 78288158*lu1^3 - 1651130310*lu1^4 + 2056792221*lu1^5 + 67931166874*lu1^6 + 278053863180*lu1^7 + 441933465400*lu1^8)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((-10973424 + 218629627*lu1 + 7659728942*lu1^2 - 91561413042* lu1^3 - 329325804200*lu1^4 + 1926081450075*lu1^5 + 25919777550282*lu1^6 + 37269171013380*lu1^7 + 2393998276600* lu1^8)*(f44[t] + I*f44n[t]) + 462*(5193 - 15588*lu1 - 6407746*lu1^2 - 14007012*lu1^3 + 1791528937*lu1^4 + 4538436416*lu1^5 - 94948367544*lu1^6 - 7806694400*lu1^7 + 371781656400*lu1^8)*(g44[t] + I*g44n[t])) + (-13481985 - 6218453*lu1 + 15176858926*lu1^2 + 85315950170*lu1^ 3 - 3037148361069*lu1^4 - 11473687924529*lu1^5 + 119921789288576*lu1^6 + 68826744964940*lu1^7 - 399008763871200*lu1^8)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(-88*(9549 - 19308*lu1 - 11671634*lu1^2 - 11879416*lu1^3 + 3143312265*lu1^4 + 8597900652*lu1^5 - 191620675852*lu1^6 - 561296221440*lu1^7 + 49595772800*lu1^8)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (2*(14923341 - 158254621*lu1 - 15019865708*lu1^2 + 64120386282* lu1^3 + 2700513405629*lu1^4 - 10333624117377*lu1^5 - 81625952828742*lu1^6 + 8348555102580*lu1^7 + 267122019386600* lu1^8)*(f44[t] + I*f44n[t]) + (16512561 - 81901807*lu1 - 15824383550*lu1^2 - 49623472370*lu1^3 + 2123270135485*lu1^4 + 10069208692477*lu1^5 - 59536248932624*lu1^6 - 24766093049500* lu1^7 + 183539610156000*lu1^8)*(g44[t] + I*g44n[t])) - 924*(-1539 - 3636*lu1 + 1900062*lu1^2 + 14479652*lu1^3 - 481903931*lu1^4 - 4164925272*lu1^5 + 14349650648*lu1^6 + 129092744800*lu1^7 + 175519621200*lu1^8)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (75*Sqrt[3]*lu1*mar*((-47530629 + 271252941*lu1 + 45430232098*lu1^2 + 102752516510*lu1^3 - 5800677101905*lu1^4 - 25917349116863*lu1^5 - 22852523960908*lu1^6 + 23115515058116*lu1^7 + 15020088546960* lu1^8)*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) - 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-3231927 - 345815643*lu1 + 8039162538* lu1^2 + 291735166150*lu1^3 - 1791844925275*lu1^4 - 24281164395999*lu1^5 - 33026696685176*lu1^6 + 87816575232596* lu1^7 + 125376186727680*lu1^8)*(f44[t] + I*f44n[t]) - 154*(-3 + 13*lu1 + 38*lu1^2)^2*(69 - 30850*lu1 + 4753*lu1^2 + 25501808*lu1^3 + 180092220*lu1^4)*(g44[t] + I*g44n[t])) + 16*(82809 - 1740582*lu1 - 67444137*lu1^2 + 872310800*lu1^3 + 7690297955*lu1^4 - 52673147382*lu1^5 - 115847580039*lu1^6 + 199774421836*lu1^7 + 350495594260*lu1^8)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (75*Sqrt[3]*lu1*mar*(-88*(-10638 + 170301*lu1 + 9051578*lu1^2 - 78288158*lu1^3 - 1651130310*lu1^4 + 2056792221*lu1^5 + 67931166874*lu1^6 + 278053863180*lu1^7 + 441933465400*lu1^8)* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (2*(-10973424 + 218629627*lu1 + 7659728942*lu1^2 - 91561413042* lu1^3 - 329325804200*lu1^4 + 1926081450075*lu1^5 + 25919777550282*lu1^6 + 37269171013380*lu1^7 + 2393998276600* lu1^8)*(f44[t] + I*f44n[t]) + (-13481985 - 6218453*lu1 + 15176858926*lu1^2 + 85315950170*lu1^3 - 3037148361069*lu1^4 - 11473687924529*lu1^5 + 119921789288576*lu1^6 + 68826744964940* lu1^7 - 399008763871200*lu1^8)*(g44[t] + I*g44n[t])) + 924*(5193 - 15588*lu1 - 6407746*lu1^2 - 14007012*lu1^3 + 1791528937*lu1^4 + 4538436416*lu1^5 - 94948367544*lu1^6 - 7806694400*lu1^7 + 371781656400*lu1^8)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*((104002293 - 1132117829*lu1 - 93239688154*lu1^2 + 195302515570*lu1^3 + 11759433442545*lu1^4 + 34331039445991*lu1^5 + 2420970520532*lu1^6 - 34265752344068* lu1^7 - 7668489412080*lu1^8)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-19664331 - 126366389*lu1 + 21024133334* lu1^2 + 272461205890*lu1^3 - 3157605493055*lu1^4 - 42568240687737*lu1^5 - 15980012785068*lu1^6 + 119150619731068* lu1^7 + 103547030215440*lu1^8)*(f44[t] + I*f44n[t]) - 154*(-3 + 13*lu1 + 38*lu1^2)^2*(-1371 - 18712*lu1 + 1242217*lu1^2 + 25796714*lu1^3 + 94284960*lu1^4)*(g44[t] + I*g44n[t])) + 4*(378324 - 6451551*lu1 - 334057914*lu1^2 + 2641681130*lu1^3 + 53276139620*lu1^4 - 141876528687*lu1^5 - 1327698704622*lu1^6 - 425887917668*lu1^7 + 2576579372920*lu1^8)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (-88*(9549 - 19308*lu1 - 11671634*lu1^2 - 11879416*lu1^3 + 3143312265*lu1^4 + 8597900652*lu1^5 - 191620675852*lu1^6 - 561296221440*lu1^7 + 49595772800*lu1^8)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(f44[t] - I*f44n[t])*((14923341 - 158254621*lu1 - 15019865708* lu1^2 + 64120386282*lu1^3 + 2700513405629*lu1^4 - 10333624117377*lu1^5 - 81625952828742*lu1^6 + 8348555102580* lu1^7 + 267122019386600*lu1^8)*(f44[t] + I*f44n[t]) - 462*(-1539 - 3636*lu1 + 1900062*lu1^2 + 14479652*lu1^3 - 481903931*lu1^4 - 4164925272*lu1^5 + 14349650648*lu1^6 + 129092744800*lu1^7 + 175519621200*lu1^8)*(g44[t] + I*g44n[t])) + (16512561 - 81901807*lu1 - 15824383550*lu1^2 - 49623472370*lu1^3 + 2123270135485*lu1^4 + 10069208692477*lu1^ 5 - 59536248932624*lu1^6 - 24766093049500*lu1^7 + 183539610156000*lu1^8)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[2/21]*mar*f20[t]*(f22[t] + I*f22n[t])* ((-50 + 4*lu1)*(f44[t] - I*f44n[t]) + 7*(1 + lu1)* (g44[t] - I*g44n[t])))/((3 + 32*lu1 + 20*lu1^2)*Pi) + (15*Sqrt[15/14]*mar*(f22[t] + I*f22n[t])*f40[t]* ((-50 + 4*lu1)*(f44[t] - I*f44n[t]) + 7*(1 + lu1)* (g44[t] - I*g44n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) - (15*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f44[t] + I*f44n[t])* ((-50 + 4*lu1)*(f44[t] - I*f44n[t]) + 7*(1 + lu1)* (g44[t] - I*g44n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) + (Sqrt[14/3]*mar*f20[t]*(f22[t] + I*f22n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] - I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] - I*g44n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (2*Sqrt[42]*mar*f20[t]*(f22[t] + I*f22n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] - I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] - I*g44n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (3*Sqrt[210]*mar*(f22[t] + I*f22n[t])*f40[t]* (4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] - I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] - I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (30*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f44[t] + I*f44n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] - I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] - I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (100*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* ((46 - 394*lu1 + 532*lu1^2)*(f44[t] - I*f44n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g44[t] - I*g44n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (100*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* ((46 - 394*lu1 + 532*lu1^2)*(f44[t] - I*f44n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g44[t] - I*g44n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (315*Sqrt[70]*mar*f40[t]*(f42[t] + I*f42n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f44[t] - I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] - I*g44n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (14525*mar*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f44[t] - I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] - I*g44n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (1435*mar*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f44[t] - I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] - I*g44n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (15*Sqrt[2/7]*mar*f20[t]*(f42[t] + I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] - I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] - I*g44n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (135*Sqrt[5/14]*mar*f40[t]*(f42[t] + I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] - I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] - I*g44n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (5*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] - I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] - I*g44n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (5*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f44[t] + I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] - I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] - I*g44n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (117*mar*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] - I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] - I*g44n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (18*mar*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] - I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] - I*g44n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (6*Sqrt[210]*mar*(f22[t] + I*f22n[t])*f40[t]* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] - I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (15*Sqrt[14]*mar*f20[t]*(f42[t] + I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] - I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (135*Sqrt[70]*mar*f40[t]*(f42[t] + I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] - I*g44n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (10*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] - I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (10*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f44[t] + I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] - I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (180*mar*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] - I*g44n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (1530*mar*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] - I*g44n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (5*Sqrt[42]*lu1*mar*f20[t]*(f22[t] + I*f22n[t])* (2*(2199 - 2365*lu1 - 78146*lu1^2 + 42248*lu1^3)* (f44[t] - I*f44n[t]) + (2067 + 25594*lu1 + 7613*lu1^2 - 13322*lu1^3)*(g44[t] - I*g44n[t])))/(11*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (15*Sqrt[210]*lu1*mar* (f22[t] + I*f22n[t])*f40[t]*(2*(11742 - 83339*lu1 - 130117*lu1^2 + 233074*lu1^3)*(f44[t] - I*f44n[t]) + (6789 + 107456*lu1 - 68105*lu1^2 - 2236*lu1^3)* (g44[t] - I*g44n[t])))/(143*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (1575*lu1*mar*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (2*(1238 + 281*lu1 - 57809*lu1^2 + 51202*lu1^3)* (f44[t] - I*f44n[t]) + 9*(141 + 1610*lu1 + 315*lu1^2 - 722*lu1^3)* (g44[t] - I*g44n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) + (315*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*((514 + 208*lu1 - 38998*lu1^2 + 30644*lu1^3)* (f44[t] - I*f44n[t]) + 9*(27 + 284*lu1 + 99*lu1^2 + 598*lu1^3)* (g44[t] - I*g44n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) + (Sqrt[42]*(-1 + 5*lu1)*mar*f20[t]* (f22[t] + I*f22n[t])*(2*(449 - 1147*lu1 - 32198*lu1^2 + 5848*lu1^3)* (f44[t] - I*f44n[t]) + (289 + 3964*lu1 + 5513*lu1^2 + 6698*lu1^3)* (g44[t] - I*g44n[t])))/(11*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (3*Sqrt[210]*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*f40[t]* (2*(1837 - 15194*lu1 - 30577*lu1^2 + 67454*lu1^3)* (f44[t] - I*f44n[t]) + (923 + 14300*lu1 - 20099*lu1^2 + 37804*lu1^3)*(g44[t] - I*g44n[t])))/(143*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar* (f22[t] + I*f22n[t])*f40[t]*(2*(147843 + 573055*lu1 - 2947122*lu1^2 - 6108384*lu1^3 + 4380448*lu1^4)* (f44[t] - I*f44n[t]) + (194139 + 2356652*lu1 + 2291805*lu1^2 - 1771404*lu1^3 - 664312*lu1^4)*(g44[t] - I*g44n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (225*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])*(f44[t] + I*f44n[t])* (2*(24405 - 107631*lu1 - 602390*lu1^2 - 187312*lu1^3 + 306208*lu1^4)* (f44[t] - I*f44n[t]) + (15717 + 259344*lu1 + 277679*lu1^2 - 109868*lu1^3 - 97912*lu1^4)*(g44[t] - I*g44n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (135*Sqrt[15/14]*lu1*mar*(f22[t] + I*f22n[t])*f40[t]* ((46166 - 344386*lu1 - 732404*lu1^2 - 466784*lu1^3 + 570048*lu1^4)* (f44[t] - I*f44n[t]) + (9659 + 216464*lu1 + 265393*lu1^2 - 117140*lu1^3 - 92136*lu1^4)*(g44[t] - I*g44n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f44[t] + I*f44n[t])* ((90270 + 793174*lu1 - 4278420*lu1^2 - 3681408*lu1^3 + 2465344*lu1^4)*(f44[t] - I*f44n[t]) + (73287 + 774412*lu1 + 749601*lu1^2 - 150492*lu1^3 - 43448*lu1^4)* (g44[t] - I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (30*Sqrt[6/7]*lu1*mar*f20[t]* (f22[t] + I*f22n[t])*((11542 - 73577*lu1 - 219323*lu1^2 - 106698*lu1^3 + 143336*lu1^4)*(f44[t] - I*f44n[t]) + (2878 + 56683*lu1 + 66106*lu1^2 - 28110*lu1^3 - 23077*lu1^4)* (g44[t] - I*g44n[t])))/(11*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (225*Sqrt[2/7]*lu1*mar*f20[t]* (f42[t] + I*f42n[t])*((6492 - 200970*lu1 + 269896*lu1^2 + 490082*lu1^3 + 752740*lu1^4)*(f44[t] - I*f44n[t]) + (-4749 + 2340*lu1 + 109423*lu1^2 - 271774*lu1^3 + 78520*lu1^4)* (g44[t] - I*g44n[t])))/(143*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (Sqrt[2/21]*(-1 + 5*lu1)*mar*f20[t]* (f22[t] + I*f22n[t])*(2*(15993 - 42112*lu1 - 755487*lu1^2 - 899718*lu1^3 + 312824*lu1^4)*(f44[t] - I*f44n[t]) + (10413 + 167995*lu1 + 319248*lu1^2 + 213270*lu1^3 + 122074*lu1^4)* (g44[t] - I*g44n[t])))/(11*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (75*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (2*(112170 - 880569*lu1 - 1401191*lu1^2 + 1807046*lu1^3 + 2151184*lu1^4)*(f44[t] - I*f44n[t]) + (51603 + 1012518*lu1 + 250637*lu1^2 - 972302*lu1^3 + 143624*lu1^4)* (g44[t] - I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (75*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])*(f44[t] + I*f44n[t])* (2*(112170 - 880569*lu1 - 1401191*lu1^2 + 1807046*lu1^3 + 2151184*lu1^4)*(f44[t] - I*f44n[t]) + (51603 + 1012518*lu1 + 250637*lu1^2 - 972302*lu1^3 + 143624*lu1^4)* (g44[t] - I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (15*Sqrt[2/7]*(-1 + 5*lu1)*mar* f20[t]*(f42[t] + I*f42n[t])*(2*(4950 - 67718*lu1 + 201795*lu1^2 + 466407*lu1^3 + 624970*lu1^4)*(f44[t] - I*f44n[t]) + (936 + 46241*lu1 - 9915*lu1^2 - 437742*lu1^3 + 155480*lu1^4)* (g44[t] - I*g44n[t])))/(143*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (2*(59499 - 512608*lu1 - 695481*lu1^2 + 2203686*lu1^3 + 2464112*lu1^4)*(f44[t] - I*f44n[t]) + (26793 + 495196*lu1 - 305103*lu1^2 - 216558*lu1^3 + 991432*lu1^4)* (g44[t] - I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] + I*f22n[t])*(f44[t] + I*f44n[t])* (2*(59499 - 512608*lu1 - 695481*lu1^2 + 2203686*lu1^3 + 2464112*lu1^4)*(f44[t] - I*f44n[t]) + (26793 + 495196*lu1 - 305103*lu1^2 - 216558*lu1^3 + 991432*lu1^4)* (g44[t] - I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (2025*lu1*mar*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(2*(1261266 - 6363777*lu1 - 36465085*lu1^2 - 17941900*lu1^3 + 57899104*lu1^4 + 42451192*lu1^5)* (f44[t] - I*f44n[t]) + 3*(220177 + 4354036*lu1 + 8461475*lu1^2 - 1462060*lu1^3 - 5366892*lu1^4 + 519984*lu1^5)* (g44[t] - I*g44n[t])))/(20449*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) + (675*Sqrt[5/14]*lu1*mar*f40[t]*(f42[t] + I*f42n[t])* (2*(-874134 + 4933323*lu1 + 8965007*lu1^2 + 26099888*lu1^3 + 27901516*lu1^4 + 40121440*lu1^5)*(f44[t] - I*f44n[t]) + 3*(-178095 - 3090156*lu1 - 1680349*lu1^2 + 4723364*lu1^3 - 9074204*lu1^4 + 2572720*lu1^5)*(g44[t] - I*g44n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (45*lu1*mar*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (2*(-21897882 + 158015277*lu1 + 739323241*lu1^2 + 978665664*lu1^3 + 855785668*lu1^4 + 1078372512*lu1^5 + 778697920*lu1^6)* (f44[t] - I*f44n[t]) - 45*(164695 + 4202444*lu1 + 7672533*lu1^2 - 6274308*lu1^3 - 7504132*lu1^4 + 8465488*lu1^5)* (g44[t] - I*g44n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) - (45*lu1*mar*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (2*(-21897882 + 158015277*lu1 + 739323241*lu1^2 + 978665664*lu1^3 + 855785668*lu1^4 + 1078372512*lu1^5 + 778697920*lu1^6)* (f44[t] - I*f44n[t]) - 45*(164695 + 4202444*lu1 + 7672533*lu1^2 - 6274308*lu1^3 - 7504132*lu1^4 + 8465488*lu1^5)* (g44[t] - I*g44n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*f40[t]*(f42[t] + I*f42n[t])* (2*(1063917 - 13401134*lu1 - 62025391*lu1^2 - 26149884*lu1^3 + 66670132*lu1^4 + 114103520*lu1^5)*(f44[t] - I*f44n[t]) + (-332649 + 5124506*lu1 + 41361679*lu1^2 + 11898156*lu1^3 - 103700812*lu1^4 + 11204080*lu1^5)*(g44[t] - I*g44n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (45*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (2*(4847715 - 21954058*lu1 - 148107965*lu1^2 - 99469140*lu1^3 + 232074200*lu1^4 + 196828408*lu1^5)*(f44[t] - I*f44n[t]) + (2800953 + 50721166*lu1 + 80566121*lu1^2 - 48913356*lu1^3 - 36070532*lu1^4 + 49126928*lu1^5)*(g44[t] - I*g44n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (3*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (2*(-17507781 + 97301246*lu1 - 231276377*lu1^2 - 1749872868*lu1^3 - 879061636*lu1^4 + 2648640736*lu1^5 + 2336093760*lu1^6)* (f44[t] - I*f44n[t]) - 5*(2629971 + 43473730*lu1 + 10867499*lu1^2 - 220191204*lu1^3 - 45464252*lu1^4 + 256041776*lu1^5)*(g44[t] - I*g44n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (3*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (2*(-17507781 + 97301246*lu1 - 231276377*lu1^2 - 1749872868*lu1^3 - 879061636*lu1^4 + 2648640736*lu1^5 + 2336093760*lu1^6)* (f44[t] - I*f44n[t]) - 5*(2629971 + 43473730*lu1 + 10867499*lu1^2 - 220191204*lu1^3 - 45464252*lu1^4 + 256041776*lu1^5)*(g44[t] - I*g44n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (6615*Sqrt[70]*mar*(3*(f44[t] - I*f44n[t])* (-((15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f42[t] + I* f42n[t])*g40[t]) + f40[t]*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f42[t] + I*f42n[t]) + 10*(3 + 20*lu1 - 797*lu1^2 - 6970*lu1^3)*(g42[t] + I*g42n[t]))) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (6615*Sqrt[70]*mar*(3*(f44[t] - I*f44n[t])* (10*(3 + 20*lu1 - 797*lu1^2 - 6970*lu1^3)*(f42[t] + I*f42n[t])* g40[t] + f40[t]*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*( f42[t] + I*f42n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(g42[t] + I*g42n[t]))) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (45*Sqrt[5/14]*mar*((f44[t] - I*f44n[t])* (-6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] + I*f42n[t])* g40[t] + f40[t]*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)* (f42[t] + I*f42n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(g42[t] + I*g42n[t]))) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*Sqrt[5/14]*mar*((f44[t] - I*f44n[t])* (6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f42[t] + I*f42n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(g42[t] + I*g42n[t]))) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* f40[t]*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*Sqrt[5/14]*mar*((f44[t] - I*f44n[t])* ((177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f42[t] + I*f42n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(g42[t] + I*g42n[t]))) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)* f40[t]*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (3645*Sqrt[5/14]*mar*((f44[t] - I*f44n[t])* (-2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*(2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f42[t] + I*f42n[t]) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*(g42[t] + I*g42n[t]))) - 8*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3645*Sqrt[5/14]*mar*((f44[t] - I*f44n[t])* ((17 + 600*lu1 - 7923*lu1^2 - 122230*lu1^3)*(f42[t] + I*f42n[t])* g40[t] + 2*f40[t]*((621 + 2704*lu1 - 8287*lu1^2 - 80030*lu1^3)*( f42[t] + I*f42n[t]) + (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(g42[t] + I*g42n[t]))) + 8*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t])))/(26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (45*Sqrt[5/14]*mar*((f44[t] - I*f44n[t])* ((177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f42[t] + I*f42n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(g42[t] + I*g42n[t]))) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)* f40[t]*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (9*Sqrt[70]*mar*((f44[t] - I*f44n[t])* (210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f42[t] + I*f42n[t]) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(g42[t] + I*g42n[t]))) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* f40[t]*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (2646*Sqrt[70]*mar*((f44[t] - I*f44n[t])* (-3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)* (f42[t] + I*f42n[t])*g40[t] + 2*f40[t]*((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f42[t] + I*f42n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(g42[t] + I*g42n[t]))) - 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)* f40[t]*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (31603*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (6615*Sqrt[70]*mar*((f44[t] - I*f44n[t])* (2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] + I*f42n[t])* g40[t] + 3*f40[t]*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f42[t] + I*f42n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(g42[t] + I*g42n[t]))) - 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (3645*Sqrt[5/14]*mar*((f44[t] - I*f44n[t])* (-8*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] + I*f42n[t])*g40[t] + f40[t]*(2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f42[t] + I*f42n[t]) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*( g42[t] + I*g42n[t]))) - 2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*f40[t]*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3645*Sqrt[5/14]*mar*((f44[t] - I*f44n[t])* ((17 + 600*lu1 - 7923*lu1^2 - 122230*lu1^3)*(f42[t] + I*f42n[t])* g40[t] - 2*f40[t]*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*( f42[t] + I*f42n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*( g42[t] + I*g42n[t]))) + 2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*f40[t]*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (9*Sqrt[70]*mar*((f44[t] - I*f44n[t])*(210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] + I*f42n[t])*g40[t] + f40[t]*((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*( f42[t] + I*f42n[t]) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(g42[t] + I*g42n[t]))) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (3645*Sqrt[5/14]*mar*(2*(f44[t] - I*f44n[t])* (-((259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(f42[t] + I* f42n[t])*g40[t]) + f40[t]*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f42[t] + I*f42n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*(g42[t] + I*g42n[t]))) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (3645*Sqrt[5/14]*mar*(2*(f44[t] - I*f44n[t])* (-4*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] + I*f42n[t])*g40[t] + f40[t]*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f42[t] + I*f42n[t]) - (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*( g42[t] + I*g42n[t]))) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*f40[t]*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (2646*Sqrt[70]*mar*(2*(f44[t] - I*f44n[t])* (-15*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f42[t] + I*f42n[t])* g40[t] + f40[t]*((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*( f42[t] + I*f42n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(g42[t] + I*g42n[t]))) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (31603*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (6615*Sqrt[70]*mar*(2*(f44[t] - I*f44n[t])* ((-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] + I*f42n[t])* g40[t] + 3*f40[t]*((21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)*(f42[t] + I*f42n[t]) - 5*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(g42[t] + I*g42n[t]))) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])* ((24049257 + 4540410302*lu1 + 243419563590*lu1^2 + 5464168663564*lu1^3 + 31303700584349*lu1^4 + 16350122836902*lu1^ 5 - 44394776788484*lu1^6 + 59825421869640*lu1^7)* (f42[t] + I*f42n[t])*g40[t] + 4*f40[t]* ((-101122380 + 121081097*lu1 + 237374588343*lu1^2 + 476941408945*lu1^3 - 11770052939107*lu1^4 - 41408627359302* lu1^5 + 73185283698940*lu1^6 + 68936686191240*lu1^7)*( f42[t] + I*f42n[t]) - 17*(152907 + 2226970*lu1 - 29528694*lu1^2 - 1128086140*lu1^3 - 2716573409*lu1^4 + 88868523810*lu1^5 + 417961608692*lu1^6 + 206282296920*lu1^7)*( g42[t] + I*g42n[t]))) - 2002*(-11283 - 260362*lu1 + 9981174*lu1^2 + 17189044*lu1^3 - 1059273127*lu1^4 + 655717446*lu1^5 + 17506056076*lu1^6 + 23974649160*lu1^7)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar* ((f44[t] - I*f44n[t])*(-68*(152907 + 2226970*lu1 - 29528694*lu1^2 - 1128086140*lu1^3 - 2716573409*lu1^4 + 88868523810*lu1^5 + 417961608692*lu1^6 + 206282296920*lu1^7)*(f42[t] + I*f42n[t])* g40[t] + f40[t]*(4*(-101122380 + 121081097*lu1 + 237374588343* lu1^2 + 476941408945*lu1^3 - 11770052939107*lu1^4 - 41408627359302*lu1^5 + 73185283698940*lu1^6 + 68936686191240* lu1^7)*(f42[t] + I*f42n[t]) + (24049257 + 4540410302*lu1 + 243419563590*lu1^2 + 5464168663564*lu1^3 + 31303700584349* lu1^4 + 16350122836902*lu1^5 - 44394776788484*lu1^6 + 59825421869640*lu1^7)*(g42[t] + I*g42n[t]))) - 2002*(-11283 - 260362*lu1 + 9981174*lu1^2 + 17189044*lu1^3 - 1059273127*lu1^4 + 655717446*lu1^5 + 17506056076*lu1^6 + 23974649160*lu1^7)*f40[t]*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (135*Sqrt[5/14]*lu1*mar*(5*(f44[t] - I*f44n[t])* ((56426961 + 6840216116*lu1 + 219220572672*lu1^2 + 2401667806450*lu1^3 + 14898880185227*lu1^4 + 13000620262434*lu1^ 5 - 334896808604*lu1^6 + 21434219552760*lu1^7)* (f42[t] + I*f42n[t])*g40[t] + 4*f40[t]* ((43544949 + 1939815691*lu1 + 67836191241*lu1^2 + 940901512385* lu1^3 - 8056220065994*lu1^4 - 19218525401496*lu1^5 - 12260083238296*lu1^6 + 20204777112240*lu1^7)*(f42[t] + I*f42n[t]) + 17*(-200118 - 2408267*lu1 + 102708975*lu1^2 + 707132693*lu1^3 - 10131755177*lu1^4 - 58069126470*lu1^5 + 97439050820*lu1^6 + 256205548200*lu1^7)*(g42[t] + I*g42n[t]))) - 2002*(-23334 - 978163*lu1 + 8621247*lu1^2 + 356737909*lu1^3 - 660234409*lu1^4 - 22992430878*lu1^5 + 50342281060*lu1^6 + 182000099400*lu1^7)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (135*Sqrt[5/14]*lu1*mar* (5*(f44[t] - I*f44n[t])*(68*(-200118 - 2408267*lu1 + 102708975*lu1^2 + 707132693*lu1^3 - 10131755177*lu1^4 - 58069126470*lu1^5 + 97439050820*lu1^6 + 256205548200*lu1^7)* (f42[t] + I*f42n[t])*g40[t] + f40[t]*(4*(43544949 + 1939815691*lu1 + 67836191241*lu1^2 + 940901512385*lu1^3 - 8056220065994*lu1^4 - 19218525401496*lu1^5 - 12260083238296* lu1^6 + 20204777112240*lu1^7)*(f42[t] + I*f42n[t]) + (56426961 + 6840216116*lu1 + 219220572672*lu1^2 + 2401667806450* lu1^3 + 14898880185227*lu1^4 + 13000620262434*lu1^5 - 334896808604*lu1^6 + 21434219552760*lu1^7)*(g42[t] + I*g42n[t]))) - 2002*(-23334 - 978163*lu1 + 8621247*lu1^2 + 356737909*lu1^3 - 660234409*lu1^4 - 22992430878*lu1^5 + 50342281060*lu1^6 + 182000099400*lu1^7)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar* ((f44[t] - I*f44n[t])*(-2002*(-11283 - 260362*lu1 + 9981174*lu1^2 + 17189044*lu1^3 - 1059273127*lu1^4 + 655717446*lu1^5 + 17506056076*lu1^6 + 23974649160*lu1^7)*(f42[t] + I*f42n[t])* g40[t] + f40[t]*(4*(-101122380 + 121081097*lu1 + 237374588343* lu1^2 + 476941408945*lu1^3 - 11770052939107*lu1^4 - 41408627359302*lu1^5 + 73185283698940*lu1^6 + 68936686191240* lu1^7)*(f42[t] + I*f42n[t]) + (24049257 + 4540410302*lu1 + 243419563590*lu1^2 + 5464168663564*lu1^3 + 31303700584349* lu1^4 + 16350122836902*lu1^5 - 44394776788484*lu1^6 + 59825421869640*lu1^7)*(g42[t] + I*g42n[t]))) - 68*(152907 + 2226970*lu1 - 29528694*lu1^2 - 1128086140*lu1^3 - 2716573409*lu1^4 + 88868523810*lu1^5 + 417961608692*lu1^6 + 206282296920*lu1^7)*f40[t]*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (135*Sqrt[5/14]*lu1*mar*((f44[t] - I*f44n[t])* (-5*(-1412343 + 498740164*lu1 + 33856932400*lu1^2 + 908046740946*lu1^3 + 14213403048835*lu1^4 + 62687569919602*lu1^ 5 + 72766944668292*lu1^6 + 389083030209720*lu1^7)* (f42[t] + I*f42n[t])*g40[t] + 2*f40[t]* (10*(-1092003 + 188244575*lu1 - 10999313779*lu1^2 - 554427825939*lu1^3 - 1048328857462*lu1^4 + 10389519751256* lu1^5 + 212334373615224*lu1^6 + 130055760278640*lu1^7)*( f42[t] + I*f42n[t]) + 143*(-65982 - 2504725*lu1 + 84009161*lu1^2 + 3298138155*lu1^3 - 5617301707*lu1^4 - 758520460570*lu1^5 - 3996326697300*lu1^6 + 7535916927000* lu1^7)*(g42[t] + I*g42n[t]))) + 1020*(16986 + 205709*lu1 - 9590217*lu1^2 - 29049875*lu1^3 + 933174527*lu1^4 - 1414395414*lu1^5 - 16240178780*lu1^6 + 207840330600*lu1^7)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (135*Sqrt[5/14]*lu1*mar* ((f44[t] - I*f44n[t])*(-2002*(-23334 - 978163*lu1 + 8621247*lu1^2 + 356737909*lu1^3 - 660234409*lu1^4 - 22992430878*lu1^5 + 50342281060*lu1^6 + 182000099400*lu1^7)*(f42[t] + I*f42n[t])* g40[t] + 5*f40[t]*(4*(43544949 + 1939815691*lu1 + 67836191241* lu1^2 + 940901512385*lu1^3 - 8056220065994*lu1^4 - 19218525401496*lu1^5 - 12260083238296*lu1^6 + 20204777112240* lu1^7)*(f42[t] + I*f42n[t]) + (56426961 + 6840216116*lu1 + 219220572672*lu1^2 + 2401667806450*lu1^3 + 14898880185227* lu1^4 + 13000620262434*lu1^5 - 334896808604*lu1^6 + 21434219552760*lu1^7)*(g42[t] + I*g42n[t]))) + 340*(-200118 - 2408267*lu1 + 102708975*lu1^2 + 707132693*lu1^3 - 10131755177*lu1^4 - 58069126470*lu1^5 + 97439050820*lu1^6 + 256205548200*lu1^7)*f40[t]*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])* ((-7801743 - 189533714*lu1 + 32304488902*lu1^2 + 1715411796156*lu1^ 3 + 20517742913461*lu1^4 + 95996769043270*lu1^5 + 119956179455196*lu1^6 + 473318379986760*lu1^7)* (f42[t] + I*f42n[t])*g40[t] + 2*f40[t]* ((-28937748 - 538467902*lu1 + 65481288958*lu1^2 + 948820909002* lu1^3 + 2521979324662*lu1^4 - 40958590643876*lu1^5 + 483480952408776*lu1^6 + 90284686274160*lu1^7)*(f42[t] + I*f42n[t]) - 429*(-8655 - 233222*lu1 + 13313362*lu1^2 + 279663840*lu1^3 - 3368300663*lu1^4 - 55267954298*lu1^5 - 51812781300*lu1^6 + 321736753800*lu1^7)*(g42[t] + I*g42n[t]))) - 204*(7629 + 193666*lu1 + 6972818*lu1^2 - 105358088*lu1^3 - 3468443651*lu1^4 - 1600730554*lu1^5 + 380446924060*lu1^6 + 2129585325000*lu1^7)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (135*Sqrt[5/14]*lu1*mar* (2*(f44[t] - I*f44n[t])*(-1001*(-23334 - 978163*lu1 + 8621247*lu1^2 + 356737909*lu1^3 - 660234409*lu1^4 - 22992430878*lu1^5 + 50342281060*lu1^6 + 182000099400*lu1^7)* (f42[t] + I*f42n[t])*g40[t] + 10*f40[t]* ((43544949 + 1939815691*lu1 + 67836191241*lu1^2 + 940901512385* lu1^3 - 8056220065994*lu1^4 - 19218525401496*lu1^5 - 12260083238296*lu1^6 + 20204777112240*lu1^7)*(f42[t] + I*f42n[t]) + 17*(-200118 - 2408267*lu1 + 102708975*lu1^2 + 707132693*lu1^3 - 10131755177*lu1^4 - 58069126470*lu1^5 + 97439050820*lu1^6 + 256205548200*lu1^7)*(g42[t] + I*g42n[t]))) + 5*(56426961 + 6840216116*lu1 + 219220572672*lu1^2 + 2401667806450*lu1^3 + 14898880185227*lu1^4 + 13000620262434*lu1^5 - 334896808604*lu1^6 + 21434219552760*lu1^7)* f40[t]*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar* (2*(f44[t] - I*f44n[t])*(-1001*(-11283 - 260362*lu1 + 9981174*lu1^2 + 17189044*lu1^3 - 1059273127*lu1^4 + 655717446*lu1^5 + 17506056076*lu1^6 + 23974649160*lu1^7)* (f42[t] + I*f42n[t])*g40[t] + 2*f40[t]* ((-101122380 + 121081097*lu1 + 237374588343*lu1^2 + 476941408945*lu1^3 - 11770052939107*lu1^4 - 41408627359302* lu1^5 + 73185283698940*lu1^6 + 68936686191240*lu1^7)*( f42[t] + I*f42n[t]) - 17*(152907 + 2226970*lu1 - 29528694*lu1^2 - 1128086140*lu1^3 - 2716573409*lu1^4 + 88868523810*lu1^5 + 417961608692*lu1^6 + 206282296920*lu1^7)*( g42[t] + I*g42n[t]))) + (24049257 + 4540410302*lu1 + 243419563590*lu1^2 + 5464168663564*lu1^3 + 31303700584349*lu1^4 + 16350122836902*lu1^5 - 44394776788484*lu1^6 + 59825421869640* lu1^7)*f40[t]*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (135*Sqrt[5/14]*lu1*mar* (-2*(f44[t] - I*f44n[t])*(510*(16986 + 205709*lu1 - 9590217*lu1^2 - 29049875*lu1^3 + 933174527*lu1^4 - 1414395414*lu1^5 - 16240178780*lu1^6 + 207840330600*lu1^7)*(f42[t] + I*f42n[t])* g40[t] + f40[t]*(10*(-1092003 + 188244575*lu1 - 10999313779* lu1^2 - 554427825939*lu1^3 - 1048328857462*lu1^4 + 10389519751256*lu1^5 + 212334373615224*lu1^6 + 130055760278640*lu1^7)*(f42[t] + I*f42n[t]) + 143*(-65982 - 2504725*lu1 + 84009161*lu1^2 + 3298138155*lu1^3 - 5617301707*lu1^4 - 758520460570*lu1^5 - 3996326697300*lu1^6 + 7535916927000*lu1^7)*(g42[t] + I*g42n[t]))) + 5*(-1412343 + 498740164*lu1 + 33856932400*lu1^2 + 908046740946*lu1^3 + 14213403048835*lu1^4 + 62687569919602* lu1^5 + 72766944668292*lu1^6 + 389083030209720*lu1^7)*f40[t]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar* (2*(f44[t] - I*f44n[t])*(-102*(7629 + 193666*lu1 + 6972818*lu1^2 - 105358088*lu1^3 - 3468443651*lu1^4 - 1600730554*lu1^5 + 380446924060*lu1^6 + 2129585325000*lu1^7)*(f42[t] + I*f42n[t])* g40[t] + f40[t]*((-28937748 - 538467902*lu1 + 65481288958* lu1^2 + 948820909002*lu1^3 + 2521979324662*lu1^4 - 40958590643876*lu1^5 + 483480952408776*lu1^6 + 90284686274160* lu1^7)*(f42[t] + I*f42n[t]) - 429*(-8655 - 233222*lu1 + 13313362*lu1^2 + 279663840*lu1^3 - 3368300663*lu1^4 - 55267954298*lu1^5 - 51812781300*lu1^6 + 321736753800*lu1^7)*( g42[t] + I*g42n[t]))) + (-7801743 - 189533714*lu1 + 32304488902*lu1^2 + 1715411796156*lu1^3 + 20517742913461*lu1^4 + 95996769043270*lu1^5 + 119956179455196*lu1^6 + 473318379986760*lu1^7)*f40[t]*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t])))/(347633*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (6615*mar*(3*(f44[t] - I*f44n[t])*(-((15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])) + (f42[t] - I*f42n[t])*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f44[t] + I*f44n[t]) + 10*(3 + 20*lu1 - 797*lu1^2 - 6970*lu1^3)*(g44[t] + I*g44n[t]))) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (6615*mar*(3*(f44[t] - I*f44n[t])*(10*(3 + 20*lu1 - 797*lu1^2 - 6970*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f44[t] + I*f44n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(g44[t] + I*g44n[t]))) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (15*mar*((f44[t] - I*f44n[t])*(-6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f44[t] + I*f44n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(g44[t] + I*g44n[t]))) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (15*mar*((f44[t] - I*f44n[t])*(6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f44[t] + I*f44n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(g44[t] + I*g44n[t]))) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (20*mar*((f44[t] - I*f44n[t])*((177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f44[t] + I*f44n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(g44[t] + I*g44n[t]))) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (1215*mar*((f44[t] - I*f44n[t])*((17 + 600*lu1 - 7923*lu1^2 - 122230*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2*(f42[t] - I*f42n[t])*((621 + 2704*lu1 - 8287*lu1^2 - 80030*lu1^3)*(f44[t] + I*f44n[t]) + (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(g44[t] + I*g44n[t]))) + 8*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (20*mar*((f44[t] - I*f44n[t])*((177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f44[t] + I*f44n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(g44[t] + I*g44n[t]))) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (6*mar*((f44[t] - I*f44n[t])*(210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f44[t] + I*f44n[t]) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(g44[t] + I*g44n[t]))) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (mar*((f44[t] - I*f44n[t])*((159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f44[t] + I*f44n[t]) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(g44[t] + I*g44n[t]))) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (3087*mar*((f44[t] - I*f44n[t])*(-3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2*(f42[t] - I*f42n[t])*((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f44[t] + I*f44n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(g44[t] + I*g44n[t]))) - 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (2431*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (4116*mar*((f44[t] - I*f44n[t])*(2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 3*(f42[t] - I*f42n[t])*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f44[t] + I*f44n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(g44[t] + I*g44n[t]))) - 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (1215*mar*((f44[t] - I*f44n[t])*((17 + 600*lu1 - 7923*lu1^2 - 122230*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 2*(f42[t] - I*f42n[t])*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f44[t] + I*f44n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*(g44[t] + I*g44n[t]))) + 2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (6*mar*((f44[t] - I*f44n[t])*(210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f44[t] + I*f44n[t]) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(g44[t] + I*g44n[t]))) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (mar*((f44[t] - I*f44n[t])*((159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f44[t] + I*f44n[t]) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(g44[t] + I*g44n[t]))) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (54675*mar*(2*(f44[t] - I*f44n[t])* (-((259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(f44[t] + I* f44n[t])*(g42[t] - I*g42n[t])) + (f42[t] - I*f42n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f44[t] + I*f44n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*(g44[t] + I*g44n[t]))) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (286286*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (54675*mar*(2*(f44[t] - I*f44n[t])*(-4*(-1 + 219*lu1^2 + 1190*lu1^3)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f44[t] + I*f44n[t]) - (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*( g44[t] + I*g44n[t]))) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(286286*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3087*mar*(2*(f44[t] - I*f44n[t])*(-15*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f44[t] + I*f44n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(g44[t] + I*g44n[t]))) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (2431*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (4116*mar*(2*(f44[t] - I*f44n[t])*((-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 3*(f42[t] - I*f42n[t])*((21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)*(f44[t] + I*f44n[t]) - 5*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(g44[t] + I*g44n[t]))) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (30*mar*((f44[t] - I*f44n[t])*(-210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*(f44[t] + I*f44n[t]) - 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(g44[t] + I*g44n[t]))) + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (30*mar*((f44[t] - I*f44n[t])*(-210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*(f44[t] + I*f44n[t]) - 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(g44[t] + I*g44n[t]))) + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (225*lu1*mar*((f44[t] - I*f44n[t])*(-7*(93177 + 6502403*lu1 + 141649495*lu1^2 + 85965929*lu1^3 - 10176246528*lu1^4 + 74943118404*lu1^5)*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])*(4*(147174 - 7511909*lu1 - 408702676*lu1^2 - 9115568069*lu1^3 - 48326978532*lu1^4 + 268430206716*lu1^5)*( f44[t] + I*f44n[t]) + (725199 + 32619905*lu1 - 570656927* lu1^2 - 34703862565*lu1^3 - 279707732136*lu1^4 + 464981253660*lu1^5)*(g44[t] + I*g44n[t]))) + 204*(-66 + 19405*lu1 + 236368*lu1^2 - 7395355*lu1^3 - 49121716*lu1^4 + 284036340*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (4862*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar* ((f44[t] - I*f44n[t])*(-((520887 + 27868115*lu1 + 885973237*lu1^2 + 22323497573*lu1^3 + 123399558408*lu1^4 + 311201177364*lu1^5)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])) + (f42[t] - I*f42n[t])*(4*(146325 - 11299291*lu1 - 285358157* lu1^2 - 2499878449*lu1^3 - 265058351544*lu1^4 + 308209338108*lu1^5)*(f44[t] + I*f44n[t]) + 3*(292749 + 10764875*lu1 - 304315277*lu1^2 - 11061918055*lu1^3 - 39604717656*lu1^4 + 66424063860*lu1^5)*(g44[t] + I*g44n[t]))) + 204*(-33 + 24245*lu1 + 192489*lu1^2 - 14854785*lu1^3 - 2333128*lu1^4 + 1408886220*lu1^5)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (4862*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (225*lu1*mar*((f44[t] - I*f44n[t])* (204*(-66 + 19405*lu1 + 236368*lu1^2 - 7395355*lu1^3 - 49121716*lu1^4 + 284036340*lu1^5)*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (4*(147174 - 7511909*lu1 - 408702676*lu1^2 - 9115568069*lu1^3 - 48326978532*lu1^4 + 268430206716*lu1^5)*(f44[t] + I*f44n[t]) + (725199 + 32619905*lu1 - 570656927*lu1^2 - 34703862565*lu1^3 - 279707732136*lu1^4 + 464981253660*lu1^5)*( g44[t] + I*g44n[t]))) - 7*(93177 + 6502403*lu1 + 141649495*lu1^2 + 85965929*lu1^3 - 10176246528*lu1^4 + 74943118404*lu1^5)*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(4862*(-1 + 7*lu1 + 170*lu1^2)^2* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])* (-204*(-33 + 24245*lu1 + 192489*lu1^2 - 14854785*lu1^3 - 2333128*lu1^4 + 1408886220*lu1^5)*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (4*(-146325 + 11299291*lu1 + 285358157*lu1^2 + 2499878449* lu1^3 + 265058351544*lu1^4 - 308209338108*lu1^5)*(f44[t] + I*f44n[t]) + 3*(-292749 - 10764875*lu1 + 304315277*lu1^2 + 11061918055*lu1^3 + 39604717656*lu1^4 - 66424063860*lu1^5)*( g44[t] + I*g44n[t]))) + (520887 + 27868115*lu1 + 885973237*lu1^2 + 22323497573*lu1^3 + 123399558408*lu1^4 + 311201177364*lu1^5)*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(4862*(-1 + 7*lu1 + 170*lu1^2)^2* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar*(2*(f44[t] - I*f44n[t])* (3*(1280328507 + 59082048797*lu1 - 845500720002*lu1^2 - 58236467109430*lu1^3 - 510289668816785*lu1^4 + 3107967216336289*lu1^5 + 45804502845235544*lu1^6 + 17003290343218616*lu1^7 - 65430535413657680*lu1^8 + 121353459282963600*lu1^9)*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 2*(f42[t] - I*f42n[t])* ((3586020003 + 135420526626*lu1 - 4322596040750*lu1^2 - 147068421602556*lu1^3 + 714475795473647*lu1^4 + 15524133411736522*lu1^5 - 98988588241090380*lu1^6 - 64256518329431176*lu1^7 + 612967545162188160*lu1^8 + 140926878883123200*lu1^9)*(f44[t] + I*f44n[t]) - 34*(492273 + 36381132*lu1 - 185518882*lu1^2 - 38631339216* lu1^3 - 27001962803*lu1^4 + 8393423020532*lu1^5 + 25138929897852*lu1^6 - 302454863337320*lu1^7 - 175479239510400*lu1^8 + 625507546860000*lu1^9)*(g44[t] + I*g44n[t]))) - 1001*(242127 + 4866003*lu1 - 429366002*lu1^2 - 5528353818*lu1^3 + 168599601731*lu1^4 + 1182393971407*lu1^5 - 16241880872880*lu1^6 - 68529347760952*lu1^7 + 436707762699600* lu1^8 + 1004372487241200*lu1^9)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (15*(-1 + 5*lu1)*mar*(2*(f44[t] - I*f44n[t])* (-68*(492273 + 36381132*lu1 - 185518882*lu1^2 - 38631339216*lu1^ 3 - 27001962803*lu1^4 + 8393423020532*lu1^5 + 25138929897852*lu1^6 - 302454863337320*lu1^7 - 175479239510400*lu1^8 + 625507546860000*lu1^9)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (2*(3586020003 + 135420526626*lu1 - 4322596040750*lu1^2 - 147068421602556*lu1^3 + 714475795473647*lu1^4 + 15524133411736522*lu1^5 - 98988588241090380*lu1^6 - 64256518329431176*lu1^7 + 612967545162188160*lu1^8 + 140926878883123200*lu1^9)*(f44[t] + I*f44n[t]) + 3*(1280328507 + 59082048797*lu1 - 845500720002*lu1^2 - 58236467109430*lu1^3 - 510289668816785*lu1^4 + 3107967216336289*lu1^5 + 45804502845235544*lu1^6 + 17003290343218616*lu1^7 - 65430535413657680*lu1^8 + 121353459282963600*lu1^9)*(g44[t] + I*g44n[t]))) - 1001*(242127 + 4866003*lu1 - 429366002*lu1^2 - 5528353818*lu1^3 + 168599601731*lu1^4 + 1182393971407*lu1^5 - 16241880872880*lu1^6 - 68529347760952*lu1^7 + 436707762699600*lu1^8 + 1004372487241200* lu1^9)*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (225*lu1*mar*(2*(f44[t] - I*f44n[t])* (-3*(788047563 + 44541722303*lu1 - 281675408214*lu1^2 - 44464668025786*lu1^3 - 461596079969753*lu1^4 + 3229943947949947*lu1^5 + 31514873250380804*lu1^6 - 34456038068191984*lu1^7 - 33014934554960960*lu1^8 + 255317958592342800*lu1^9)*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 2*(f42[t] - I*f42n[t])* ((-3100211541 - 81957828597*lu1 + 3998632710826*lu1^2 + 66917461770438*lu1^3 - 625825654098961*lu1^4 + 754773493050415*lu1^5 + 13388200371887292*lu1^6 - 60170044727833840*lu1^7 - 56983675956839520*lu1^8 + 96485766072670800*lu1^9)*(f44[t] + I*f44n[t]) - 34*(-707634 - 26886681*lu1 + 616104236*lu1^2 + 19505350698* lu1^3 - 42062646926*lu1^4 - 3226758894361*lu1^5 - 28415557282596*lu1^6 - 19957797275840*lu1^7 + 1191439727814000*lu1^8 + 2192669736138000*lu1^9)*(g44[t] + I*g44n[t]))) + 1001*(741681 + 24560883*lu1 - 1101797558*lu1^2 - 33074094738*lu1^3 + 275214789221*lu1^4 + 8922369922135*lu1^5 - 4754969749440*lu1^6 - 449136300495544* lu1^7 + 353546542969200*lu1^8 + 2333617288556400*lu1^9)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (225*lu1*mar*(2*(f44[t] - I*f44n[t])*(-68*(-707634 - 26886681*lu1 + 616104236*lu1^2 + 19505350698*lu1^3 - 42062646926*lu1^4 - 3226758894361*lu1^5 - 28415557282596*lu1^6 - 19957797275840*lu1^ 7 + 1191439727814000*lu1^8 + 2192669736138000*lu1^9)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (2*(-3100211541 - 81957828597*lu1 + 3998632710826*lu1^2 + 66917461770438*lu1^3 - 625825654098961*lu1^4 + 754773493050415*lu1^5 + 13388200371887292*lu1^6 - 60170044727833840*lu1^7 - 56983675956839520*lu1^8 + 96485766072670800*lu1^9)*(f44[t] + I*f44n[t]) - 3*(788047563 + 44541722303*lu1 - 281675408214*lu1^2 - 44464668025786*lu1^3 - 461596079969753*lu1^4 + 3229943947949947*lu1^5 + 31514873250380804*lu1^6 - 34456038068191984*lu1^7 - 33014934554960960*lu1^8 + 255317958592342800*lu1^9)*(g44[t] + I*g44n[t]))) + 1001*(741681 + 24560883*lu1 - 1101797558*lu1^2 - 33074094738*lu1^3 + 275214789221*lu1^4 + 8922369922135*lu1^5 - 4754969749440*lu1^6 - 449136300495544*lu1^7 + 353546542969200* lu1^8 + 2333617288556400*lu1^9)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (225*lu1*mar*((f44[t] - I*f44n[t])*(-1001*(-170811 - 6393159*lu1 + 203171674*lu1^2 + 8128453362*lu1^3 + 13137826241*lu1^4 - 1666771869779*lu1^5 - 22037863636944*lu1^6 - 16343209081000*lu1^ 7 + 995742393836400*lu1^8 + 1907150809410000*lu1^9)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (4*(-1145614449 - 22237602029*lu1 + 1961619576618*lu1^2 + 24713382018102*lu1^3 - 557190086155485*lu1^4 - 663236282065433*lu1^5 + 26167309372240932*lu1^6 - 74237778288989824*lu1^7 + 247138955688433984*lu1^8 + 856719243182196240*lu1^9)*(f44[t] + I*f44n[t]) - (1368932973 + 61124055889*lu1 - 1526262882862*lu1^2 - 89912752637198*lu1^3 - 594979531812807*lu1^4 + 12189416340885445*lu1^5 + 107044245824544760*lu1^6 + 25072761319829672*lu1^7 - 186685275653370928*lu1^8 + 134615927607989520*lu1^9)*(g44[t] + I*g44n[t]))) + 68*(633114 + 718131*lu1 - 1654808640*lu1^2 - 8395748702*lu1^3 + 870470976734*lu1^4 + 2452413293515*lu1^5 - 128737196741792* lu1^6 - 349496081037832*lu1^7 + 4932198070747360*lu1^8 + 10466320009714800*lu1^9)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (5*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])* (27027*(-149913 - 6445485*lu1 + 179337694*lu1^2 + 8937769542*lu1^ 3 - 616745509*lu1^4 - 2370950963153*lu1^5 - 12045165707376* lu1^6 + 84707286489800*lu1^7 + 389999237115600*lu1^8 + 382175993430000*lu1^9)*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + (f42[t] - I*f42n[t])* (-8*(-5138930637 - 150499098036*lu1 + 7179609123700*lu1^2 + 192475833959508*lu1^3 - 562320363376117*lu1^4 - 32568791274255020*lu1^5 - 70021178558913330*lu1^6 + 555215319741977636*lu1^7 + 6337068578028397944*lu1^8 + 12385422839255059440*lu1^9)*(f44[t] + I*f44n[t]) + 3*(8248830039 + 349427276337*lu1 - 9356875794794*lu1^2 - 472320065020758*lu1^3 - 1878561647721421*lu1^4 + 66014975197445005*lu1^5 + 549684298582038240*lu1^6 + 112146232128063800*lu1^7 - 1403326191488520432*lu1^8 + 444684433556396880*lu1^9)*(g44[t] + I*g44n[t]))) + 68*(10140129 + 255924405*lu1 - 17698527670*lu1^2 - 233315311254*lu1^3 + 10036095168013*lu1^4 + 54211680037097* lu1^5 - 1567693596779208*lu1^6 - 7172940355065944*lu1^7 + 46360950530161680*lu1^8 + 115580383513333200*lu1^9)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (14600586*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (225*lu1*mar*((f44[t] - I*f44n[t])*(-1001*(-170811 - 6393159*lu1 + 203171674*lu1^2 + 8128453362*lu1^3 + 13137826241*lu1^4 - 1666771869779*lu1^5 - 22037863636944*lu1^6 - 16343209081000*lu1^ 7 + 995742393836400*lu1^8 + 1907150809410000*lu1^9)* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 4*(f42[t] - I*f42n[t])*((-1145614449 - 22237602029*lu1 + 1961619576618*lu1^2 + 24713382018102*lu1^3 - 557190086155485* lu1^4 - 663236282065433*lu1^5 + 26167309372240932*lu1^6 - 74237778288989824*lu1^7 + 247138955688433984*lu1^8 + 856719243182196240*lu1^9)*(f44[t] + I*f44n[t]) + 17*(633114 + 718131*lu1 - 1654808640*lu1^2 - 8395748702*lu1^3 + 870470976734*lu1^4 + 2452413293515*lu1^5 - 128737196741792* lu1^6 - 349496081037832*lu1^7 + 4932198070747360*lu1^8 + 10466320009714800*lu1^9)*(g44[t] + I*g44n[t]))) - (1368932973 + 61124055889*lu1 - 1526262882862*lu1^2 - 89912752637198*lu1^3 - 594979531812807*lu1^4 + 12189416340885445* lu1^5 + 107044245824544760*lu1^6 + 25072761319829672*lu1^7 - 186685275653370928*lu1^8 + 134615927607989520*lu1^9)* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (5*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])* (27027*(-149913 - 6445485*lu1 + 179337694*lu1^2 + 8937769542*lu1^ 3 - 616745509*lu1^4 - 2370950963153*lu1^5 - 12045165707376* lu1^6 + 84707286489800*lu1^7 + 389999237115600*lu1^8 + 382175993430000*lu1^9)*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 4*(f42[t] - I*f42n[t])* (2*(-5138930637 - 150499098036*lu1 + 7179609123700*lu1^2 + 192475833959508*lu1^3 - 562320363376117*lu1^4 - 32568791274255020*lu1^5 - 70021178558913330*lu1^6 + 555215319741977636*lu1^7 + 6337068578028397944*lu1^8 + 12385422839255059440*lu1^9)*(f44[t] + I*f44n[t]) - 17*(10140129 + 255924405*lu1 - 17698527670*lu1^2 - 233315311254*lu1^3 + 10036095168013*lu1^4 + 54211680037097* lu1^5 - 1567693596779208*lu1^6 - 7172940355065944*lu1^7 + 46360950530161680*lu1^8 + 115580383513333200*lu1^9)*(g44[t] + I*g44n[t]))) + 3*(8248830039 + 349427276337*lu1 - 9356875794794*lu1^2 - 472320065020758*lu1^3 - 1878561647721421* lu1^4 + 66014975197445005*lu1^5 + 549684298582038240*lu1^6 + 112146232128063800*lu1^7 - 1403326191488520432*lu1^8 + 444684433556396880*lu1^9)*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (14600586*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (3087*mar*(3*(f44[t] - I*f44n[t])*(-((15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t])) + (f42[t] + I*f42n[t])*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f44[t] + I*f44n[t]) + 10*(3 + 20*lu1 - 797*lu1^2 - 6970*lu1^3)*(g44[t] + I*g44n[t]))) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (2431*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (3087*mar*(3*(f44[t] - I*f44n[t])*(10*(3 + 20*lu1 - 797*lu1^2 - 6970*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f44[t] + I*f44n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(g44[t] + I*g44n[t]))) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (2431*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (15*mar*((f44[t] - I*f44n[t])*(-6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f44[t] + I*f44n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(g44[t] + I*g44n[t]))) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (20*mar*((f44[t] - I*f44n[t])*((177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f44[t] + I*f44n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(g44[t] + I*g44n[t]))) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (54675*mar*((f44[t] - I*f44n[t])*(-2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])*(2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f44[t] + I*f44n[t]) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*(g44[t] + I*g44n[t]))) - 8*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (286286*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (1215*mar*((f44[t] - I*f44n[t])*((17 + 600*lu1 - 7923*lu1^2 - 122230*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 2*(f42[t] + I*f42n[t])*((621 + 2704*lu1 - 8287*lu1^2 - 80030*lu1^3)*(f44[t] + I*f44n[t]) + (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(g44[t] + I*g44n[t]))) + 8*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (15*mar*((f44[t] - I*f44n[t])*(6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f44[t] + I*f44n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(g44[t] + I*g44n[t]))) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (20*mar*((f44[t] - I*f44n[t])*((177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f44[t] + I*f44n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(g44[t] + I*g44n[t]))) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (30*mar*((f44[t] - I*f44n[t])*(210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])*((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f44[t] + I*f44n[t]) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(g44[t] + I*g44n[t]))) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (mar*((f44[t] - I*f44n[t])*((159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])*((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f44[t] + I*f44n[t]) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(g44[t] + I*g44n[t]))) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (6615*mar*((f44[t] - I*f44n[t])*(-3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 2*(f42[t] + I*f42n[t])*((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f44[t] + I*f44n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(g44[t] + I*g44n[t]))) - 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (4116*mar*((f44[t] - I*f44n[t])*(2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 3*(f42[t] + I*f42n[t])*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f44[t] + I*f44n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(g44[t] + I*g44n[t]))) - 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (54675*mar*((f44[t] - I*f44n[t])*(-8*(-1 + 219*lu1^2 + 1190*lu1^3)* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])* (2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f44[t] + I*f44n[t]) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*( g44[t] + I*g44n[t]))) - 2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(286286*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (1215*mar*((f44[t] - I*f44n[t])*((17 + 600*lu1 - 7923*lu1^2 - 122230*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 2*(f42[t] + I*f42n[t])*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f44[t] + I*f44n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*(g44[t] + I*g44n[t]))) + 2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (30*mar*((f44[t] - I*f44n[t])*(210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])*((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f44[t] + I*f44n[t]) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(g44[t] + I*g44n[t]))) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (mar*((f44[t] - I*f44n[t])*((159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])*((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f44[t] + I*f44n[t]) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(g44[t] + I*g44n[t]))) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (6615*mar*(2*(f44[t] - I*f44n[t])*(-15*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])*((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f44[t] + I*f44n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(g44[t] + I*g44n[t]))) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (4116*mar*(2*(f44[t] - I*f44n[t])*((-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 3*(f42[t] + I*f42n[t])*((21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)*(f44[t] + I*f44n[t]) - 5*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(g44[t] + I*g44n[t]))) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (6*mar*((f44[t] - I*f44n[t])*(-210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])*((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*(f44[t] + I*f44n[t]) - 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(g44[t] + I*g44n[t]))) + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (6*mar*((f44[t] - I*f44n[t])*(-210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])*((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*(f44[t] + I*f44n[t]) - 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(g44[t] + I*g44n[t]))) + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (15*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])* (-((520887 + 27868115*lu1 + 885973237*lu1^2 + 22323497573*lu1^3 + 123399558408*lu1^4 + 311201177364*lu1^5)*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t])) + 4*(f42[t] + I*f42n[t])* ((146325 - 11299291*lu1 - 285358157*lu1^2 - 2499878449*lu1^3 - 265058351544*lu1^4 + 308209338108*lu1^5)*(f44[t] + I*f44n[t]) + 51*(-33 + 24245*lu1 + 192489*lu1^2 - 14854785*lu1^3 - 2333128*lu1^4 + 1408886220*lu1^5)*(g44[t] + I*g44n[t]))) + 3*(292749 + 10764875*lu1 - 304315277*lu1^2 - 11061918055*lu1^3 - 39604717656*lu1^4 + 66424063860*lu1^5)* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (4862*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar* ((f44[t] - I*f44n[t])*(204*(-33 + 24245*lu1 + 192489*lu1^2 - 14854785*lu1^3 - 2333128*lu1^4 + 1408886220*lu1^5)* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])* (4*(146325 - 11299291*lu1 - 285358157*lu1^2 - 2499878449*lu1^3 - 265058351544*lu1^4 + 308209338108*lu1^5)*(f44[t] + I*f44n[t]) - (520887 + 27868115*lu1 + 885973237*lu1^2 + 22323497573*lu1^3 + 123399558408*lu1^4 + 311201177364*lu1^5)*( g44[t] + I*g44n[t]))) + 3*(292749 + 10764875*lu1 - 304315277*lu1^2 - 11061918055*lu1^3 - 39604717656*lu1^4 + 66424063860*lu1^5)*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(4862*(-1 + 7*lu1 + 170*lu1^2)^2* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (225*lu1*mar*((f44[t] - I*f44n[t])*(-7*(93177 + 6502403*lu1 + 141649495*lu1^2 + 85965929*lu1^3 - 10176246528*lu1^4 + 74943118404*lu1^5)*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 4*(f42[t] + I*f42n[t])*((147174 - 7511909*lu1 - 408702676*lu1^2 - 9115568069*lu1^3 - 48326978532*lu1^4 + 268430206716*lu1^5)*( f44[t] + I*f44n[t]) + 51*(-66 + 19405*lu1 + 236368*lu1^2 - 7395355*lu1^3 - 49121716*lu1^4 + 284036340*lu1^5)*(g44[t] + I*g44n[t]))) + (725199 + 32619905*lu1 - 570656927*lu1^2 - 34703862565*lu1^3 - 279707732136*lu1^4 + 464981253660*lu1^5)* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (4862*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (225*lu1*mar*((f44[t] - I*f44n[t])* (204*(-66 + 19405*lu1 + 236368*lu1^2 - 7395355*lu1^3 - 49121716*lu1^4 + 284036340*lu1^5)*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])* (4*(147174 - 7511909*lu1 - 408702676*lu1^2 - 9115568069*lu1^3 - 48326978532*lu1^4 + 268430206716*lu1^5)*(f44[t] + I*f44n[t]) - 7*(93177 + 6502403*lu1 + 141649495*lu1^2 + 85965929*lu1^3 - 10176246528*lu1^4 + 74943118404*lu1^5)*( g44[t] + I*g44n[t]))) + (725199 + 32619905*lu1 - 570656927*lu1^2 - 34703862565*lu1^3 - 279707732136*lu1^4 + 464981253660*lu1^5)*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(4862*(-1 + 7*lu1 + 170*lu1^2)^2* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])* (6*(1280328507 + 59082048797*lu1 - 845500720002*lu1^2 - 58236467109430*lu1^3 - 510289668816785*lu1^4 + 3107967216336289*lu1^5 + 45804502845235544*lu1^6 + 17003290343218616*lu1^7 - 65430535413657680*lu1^8 + 121353459282963600*lu1^9)*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])* (4*(3586020003 + 135420526626*lu1 - 4322596040750*lu1^2 - 147068421602556*lu1^3 + 714475795473647*lu1^4 + 15524133411736522*lu1^5 - 98988588241090380*lu1^6 - 64256518329431176*lu1^7 + 612967545162188160*lu1^8 + 140926878883123200*lu1^9)*(f44[t] + I*f44n[t]) - 1001*(242127 + 4866003*lu1 - 429366002*lu1^2 - 5528353818* lu1^3 + 168599601731*lu1^4 + 1182393971407*lu1^5 - 16241880872880*lu1^6 - 68529347760952*lu1^7 + 436707762699600* lu1^8 + 1004372487241200*lu1^9)*(g44[t] + I*g44n[t]))) - 136*(492273 + 36381132*lu1 - 185518882*lu1^2 - 38631339216*lu1^3 - 27001962803*lu1^4 + 8393423020532*lu1^5 + 25138929897852*lu1^6 - 302454863337320*lu1^7 - 175479239510400*lu1^8 + 625507546860000*lu1^9)*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (225*lu1*mar*((f44[t] - I*f44n[t])* (-6*(788047563 + 44541722303*lu1 - 281675408214*lu1^2 - 44464668025786*lu1^3 - 461596079969753*lu1^4 + 3229943947949947*lu1^5 + 31514873250380804*lu1^6 - 34456038068191984*lu1^7 - 33014934554960960*lu1^8 + 255317958592342800*lu1^9)*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])* (4*(-3100211541 - 81957828597*lu1 + 3998632710826*lu1^2 + 66917461770438*lu1^3 - 625825654098961*lu1^4 + 754773493050415*lu1^5 + 13388200371887292*lu1^6 - 60170044727833840*lu1^7 - 56983675956839520*lu1^8 + 96485766072670800*lu1^9)*(f44[t] + I*f44n[t]) + 1001*(741681 + 24560883*lu1 - 1101797558*lu1^2 - 33074094738* lu1^3 + 275214789221*lu1^4 + 8922369922135*lu1^5 - 4754969749440*lu1^6 - 449136300495544*lu1^7 + 353546542969200* lu1^8 + 2333617288556400*lu1^9)*(g44[t] + I*g44n[t]))) - 136*(-707634 - 26886681*lu1 + 616104236*lu1^2 + 19505350698*lu1^3 - 42062646926*lu1^4 - 3226758894361*lu1^5 - 28415557282596*lu1^6 - 19957797275840*lu1^7 + 1191439727814000*lu1^8 + 2192669736138000*lu1^9)*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (225*lu1*mar*((f44[t] - I*f44n[t])* (-1001*(-170811 - 6393159*lu1 + 203171674*lu1^2 + 8128453362*lu1^ 3 + 13137826241*lu1^4 - 1666771869779*lu1^5 - 22037863636944*lu1^6 - 16343209081000*lu1^7 + 995742393836400* lu1^8 + 1907150809410000*lu1^9)*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])* (4*(-1145614449 - 22237602029*lu1 + 1961619576618*lu1^2 + 24713382018102*lu1^3 - 557190086155485*lu1^4 - 663236282065433*lu1^5 + 26167309372240932*lu1^6 - 74237778288989824*lu1^7 + 247138955688433984*lu1^8 + 856719243182196240*lu1^9)*(f44[t] + I*f44n[t]) - (1368932973 + 61124055889*lu1 - 1526262882862*lu1^2 - 89912752637198*lu1^3 - 594979531812807*lu1^4 + 12189416340885445*lu1^5 + 107044245824544760*lu1^6 + 25072761319829672*lu1^7 - 186685275653370928*lu1^8 + 134615927607989520*lu1^9)*(g44[t] + I*g44n[t]))) + 68*(633114 + 718131*lu1 - 1654808640*lu1^2 - 8395748702*lu1^3 + 870470976734*lu1^4 + 2452413293515*lu1^5 - 128737196741792* lu1^6 - 349496081037832*lu1^7 + 4932198070747360*lu1^8 + 10466320009714800*lu1^9)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (5*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])* (27027*(-149913 - 6445485*lu1 + 179337694*lu1^2 + 8937769542*lu1^ 3 - 616745509*lu1^4 - 2370950963153*lu1^5 - 12045165707376* lu1^6 + 84707286489800*lu1^7 + 389999237115600*lu1^8 + 382175993430000*lu1^9)*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])* (-8*(-5138930637 - 150499098036*lu1 + 7179609123700*lu1^2 + 192475833959508*lu1^3 - 562320363376117*lu1^4 - 32568791274255020*lu1^5 - 70021178558913330*lu1^6 + 555215319741977636*lu1^7 + 6337068578028397944*lu1^8 + 12385422839255059440*lu1^9)*(f44[t] + I*f44n[t]) + 3*(8248830039 + 349427276337*lu1 - 9356875794794*lu1^2 - 472320065020758*lu1^3 - 1878561647721421*lu1^4 + 66014975197445005*lu1^5 + 549684298582038240*lu1^6 + 112146232128063800*lu1^7 - 1403326191488520432*lu1^8 + 444684433556396880*lu1^9)*(g44[t] + I*g44n[t]))) + 68*(10140129 + 255924405*lu1 - 17698527670*lu1^2 - 233315311254*lu1^3 + 10036095168013*lu1^4 + 54211680037097* lu1^5 - 1567693596779208*lu1^6 - 7172940355065944*lu1^7 + 46360950530161680*lu1^8 + 115580383513333200*lu1^9)* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (14600586*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (15*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])* (-136*(492273 + 36381132*lu1 - 185518882*lu1^2 - 38631339216*lu1^ 3 - 27001962803*lu1^4 + 8393423020532*lu1^5 + 25138929897852*lu1^6 - 302454863337320*lu1^7 - 175479239510400*lu1^8 + 625507546860000*lu1^9)* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])* (4*(3586020003 + 135420526626*lu1 - 4322596040750*lu1^2 - 147068421602556*lu1^3 + 714475795473647*lu1^4 + 15524133411736522*lu1^5 - 98988588241090380*lu1^6 - 64256518329431176*lu1^7 + 612967545162188160*lu1^8 + 140926878883123200*lu1^9)*(f44[t] + I*f44n[t]) - 1001*(242127 + 4866003*lu1 - 429366002*lu1^2 - 5528353818* lu1^3 + 168599601731*lu1^4 + 1182393971407*lu1^5 - 16241880872880*lu1^6 - 68529347760952*lu1^7 + 436707762699600* lu1^8 + 1004372487241200*lu1^9)*(g44[t] + I*g44n[t]))) + 6*(1280328507 + 59082048797*lu1 - 845500720002*lu1^2 - 58236467109430*lu1^3 - 510289668816785*lu1^4 + 3107967216336289* lu1^5 + 45804502845235544*lu1^6 + 17003290343218616*lu1^7 - 65430535413657680*lu1^8 + 121353459282963600*lu1^9)* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (225*lu1*mar*((f44[t] - I*f44n[t])*(-1001*(-170811 - 6393159*lu1 + 203171674*lu1^2 + 8128453362*lu1^3 + 13137826241*lu1^4 - 1666771869779*lu1^5 - 22037863636944*lu1^6 - 16343209081000*lu1^ 7 + 995742393836400*lu1^8 + 1907150809410000*lu1^9)* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 4*(f42[t] + I*f42n[t])*((-1145614449 - 22237602029*lu1 + 1961619576618*lu1^2 + 24713382018102*lu1^3 - 557190086155485* lu1^4 - 663236282065433*lu1^5 + 26167309372240932*lu1^6 - 74237778288989824*lu1^7 + 247138955688433984*lu1^8 + 856719243182196240*lu1^9)*(f44[t] + I*f44n[t]) + 17*(633114 + 718131*lu1 - 1654808640*lu1^2 - 8395748702*lu1^3 + 870470976734*lu1^4 + 2452413293515*lu1^5 - 128737196741792* lu1^6 - 349496081037832*lu1^7 + 4932198070747360*lu1^8 + 10466320009714800*lu1^9)*(g44[t] + I*g44n[t]))) - (1368932973 + 61124055889*lu1 - 1526262882862*lu1^2 - 89912752637198*lu1^3 - 594979531812807*lu1^4 + 12189416340885445* lu1^5 + 107044245824544760*lu1^6 + 25072761319829672*lu1^7 - 186685275653370928*lu1^8 + 134615927607989520*lu1^9)* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (225*lu1*mar*((f44[t] - I*f44n[t])*(-136*(-707634 - 26886681*lu1 + 616104236*lu1^2 + 19505350698*lu1^3 - 42062646926*lu1^4 - 3226758894361*lu1^5 - 28415557282596*lu1^6 - 19957797275840*lu1^ 7 + 1191439727814000*lu1^8 + 2192669736138000*lu1^9)* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + (f42[t] + I*f42n[t])* (4*(-3100211541 - 81957828597*lu1 + 3998632710826*lu1^2 + 66917461770438*lu1^3 - 625825654098961*lu1^4 + 754773493050415*lu1^5 + 13388200371887292*lu1^6 - 60170044727833840*lu1^7 - 56983675956839520*lu1^8 + 96485766072670800*lu1^9)*(f44[t] + I*f44n[t]) + 1001*(741681 + 24560883*lu1 - 1101797558*lu1^2 - 33074094738* lu1^3 + 275214789221*lu1^4 + 8922369922135*lu1^5 - 4754969749440*lu1^6 - 449136300495544*lu1^7 + 353546542969200* lu1^8 + 2333617288556400*lu1^9)*(g44[t] + I*g44n[t]))) - 6*(788047563 + 44541722303*lu1 - 281675408214*lu1^2 - 44464668025786*lu1^3 - 461596079969753*lu1^4 + 3229943947949947* lu1^5 + 31514873250380804*lu1^6 - 34456038068191984*lu1^7 - 33014934554960960*lu1^8 + 255317958592342800*lu1^9)* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (5*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])* (27027*(-149913 - 6445485*lu1 + 179337694*lu1^2 + 8937769542*lu1^ 3 - 616745509*lu1^4 - 2370950963153*lu1^5 - 12045165707376* lu1^6 + 84707286489800*lu1^7 + 389999237115600*lu1^8 + 382175993430000*lu1^9)*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) - 4*(f42[t] + I*f42n[t])* (2*(-5138930637 - 150499098036*lu1 + 7179609123700*lu1^2 + 192475833959508*lu1^3 - 562320363376117*lu1^4 - 32568791274255020*lu1^5 - 70021178558913330*lu1^6 + 555215319741977636*lu1^7 + 6337068578028397944*lu1^8 + 12385422839255059440*lu1^9)*(f44[t] + I*f44n[t]) - 17*(10140129 + 255924405*lu1 - 17698527670*lu1^2 - 233315311254*lu1^3 + 10036095168013*lu1^4 + 54211680037097* lu1^5 - 1567693596779208*lu1^6 - 7172940355065944*lu1^7 + 46360950530161680*lu1^8 + 115580383513333200*lu1^9)*(g44[t] + I*g44n[t]))) + 3*(8248830039 + 349427276337*lu1 - 9356875794794*lu1^2 - 472320065020758*lu1^3 - 1878561647721421* lu1^4 + 66014975197445005*lu1^5 + 549684298582038240*lu1^6 + 112146232128063800*lu1^7 - 1403326191488520432*lu1^8 + 444684433556396880*lu1^9)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (14600586*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (5*Sqrt[2/21]*mar*f20[t]*(f22[t] - I*f22n[t])* ((-50 + 4*lu1)*(f44[t] + I*f44n[t]) + 7*(1 + lu1)* (g44[t] + I*g44n[t])))/((3 + 32*lu1 + 20*lu1^2)*Pi) + (15*Sqrt[15/14]*mar*(f22[t] - I*f22n[t])*f40[t]* ((-50 + 4*lu1)*(f44[t] + I*f44n[t]) + 7*(1 + lu1)* (g44[t] + I*g44n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) - (15*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((-50 + 4*lu1)*(f44[t] + I*f44n[t]) + 7*(1 + lu1)* (g44[t] + I*g44n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) + (Sqrt[14/3]*mar*f20[t]*(f22[t] - I*f22n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] + I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] + I*g44n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (2*Sqrt[42]*mar*f20[t]*(f22[t] - I*f22n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] + I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] + I*g44n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (3*Sqrt[210]*mar*(f22[t] - I*f22n[t])*f40[t]* (4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] + I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] + I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (30*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] + I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] + I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (100*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* ((46 - 394*lu1 + 532*lu1^2)*(f44[t] + I*f44n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g44[t] + I*g44n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (100*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((46 - 394*lu1 + 532*lu1^2)*(f44[t] + I*f44n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g44[t] + I*g44n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (315*Sqrt[70]*mar*f40[t]*(f42[t] - I*f42n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f44[t] + I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] + I*g44n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (1435*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f44[t] + I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] + I*g44n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (14525*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f44[t] + I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] + I*g44n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (15*Sqrt[2/7]*mar*f20[t]*(f42[t] - I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] + I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] + I*g44n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (135*Sqrt[5/14]*mar*f40[t]*(f42[t] - I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] + I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] + I*g44n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (5*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] + I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] + I*g44n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (5*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] + I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] + I*g44n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (18*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] + I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] + I*g44n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (117*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] + I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] + I*g44n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (6*Sqrt[210]*mar*(f22[t] - I*f22n[t])*f40[t]* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] + I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] + I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (15*Sqrt[14]*mar*f20[t]*(f42[t] - I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] + I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] + I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (135*Sqrt[70]*mar*f40[t]*(f42[t] - I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] + I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] + I*g44n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (10*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] + I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] + I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (10*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] + I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] + I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (1530*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] + I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] + I*g44n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (180*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] + I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] + I*g44n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (5*Sqrt[42]*lu1*mar*f20[t]*(f22[t] - I*f22n[t])* (2*(2199 - 2365*lu1 - 78146*lu1^2 + 42248*lu1^3)* (f44[t] + I*f44n[t]) + (2067 + 25594*lu1 + 7613*lu1^2 - 13322*lu1^3)*(g44[t] + I*g44n[t])))/(11*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (15*Sqrt[210]*lu1*mar* (f22[t] - I*f22n[t])*f40[t]*(2*(11742 - 83339*lu1 - 130117*lu1^2 + 233074*lu1^3)*(f44[t] + I*f44n[t]) + (6789 + 107456*lu1 - 68105*lu1^2 - 2236*lu1^3)* (g44[t] + I*g44n[t])))/(143*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (1575*lu1*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (2*(1238 + 281*lu1 - 57809*lu1^2 + 51202*lu1^3)* (f44[t] + I*f44n[t]) + 9*(141 + 1610*lu1 + 315*lu1^2 - 722*lu1^3)* (g44[t] + I*g44n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) + (315*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*((514 + 208*lu1 - 38998*lu1^2 + 30644*lu1^3)* (f44[t] + I*f44n[t]) + 9*(27 + 284*lu1 + 99*lu1^2 + 598*lu1^3)* (g44[t] + I*g44n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) + (Sqrt[42]*(-1 + 5*lu1)*mar*f20[t]* (f22[t] - I*f22n[t])*(2*(449 - 1147*lu1 - 32198*lu1^2 + 5848*lu1^3)* (f44[t] + I*f44n[t]) + (289 + 3964*lu1 + 5513*lu1^2 + 6698*lu1^3)* (g44[t] + I*g44n[t])))/(11*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (3*Sqrt[210]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*f40[t]* (2*(1837 - 15194*lu1 - 30577*lu1^2 + 67454*lu1^3)* (f44[t] + I*f44n[t]) + (923 + 14300*lu1 - 20099*lu1^2 + 37804*lu1^3)*(g44[t] + I*g44n[t])))/(143*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*f40[t]*(2*(147843 + 573055*lu1 - 2947122*lu1^2 - 6108384*lu1^3 + 4380448*lu1^4)* (f44[t] + I*f44n[t]) + (194139 + 2356652*lu1 + 2291805*lu1^2 - 1771404*lu1^3 - 664312*lu1^4)*(g44[t] + I*g44n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (225*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (2*(24405 - 107631*lu1 - 602390*lu1^2 - 187312*lu1^3 + 306208*lu1^4)* (f44[t] + I*f44n[t]) + (15717 + 259344*lu1 + 277679*lu1^2 - 109868*lu1^3 - 97912*lu1^4)*(g44[t] + I*g44n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (135*Sqrt[15/14]*lu1*mar*(f22[t] - I*f22n[t])*f40[t]* ((46166 - 344386*lu1 - 732404*lu1^2 - 466784*lu1^3 + 570048*lu1^4)* (f44[t] + I*f44n[t]) + (9659 + 216464*lu1 + 265393*lu1^2 - 117140*lu1^3 - 92136*lu1^4)*(g44[t] + I*g44n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((90270 + 793174*lu1 - 4278420*lu1^2 - 3681408*lu1^3 + 2465344*lu1^4)*(f44[t] + I*f44n[t]) + (73287 + 774412*lu1 + 749601*lu1^2 - 150492*lu1^3 - 43448*lu1^4)* (g44[t] + I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (30*Sqrt[6/7]*lu1*mar*f20[t]* (f22[t] - I*f22n[t])*((11542 - 73577*lu1 - 219323*lu1^2 - 106698*lu1^3 + 143336*lu1^4)*(f44[t] + I*f44n[t]) + (2878 + 56683*lu1 + 66106*lu1^2 - 28110*lu1^3 - 23077*lu1^4)* (g44[t] + I*g44n[t])))/(11*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (225*Sqrt[2/7]*lu1*mar*f20[t]* (f42[t] - I*f42n[t])*((6492 - 200970*lu1 + 269896*lu1^2 + 490082*lu1^3 + 752740*lu1^4)*(f44[t] + I*f44n[t]) + (-4749 + 2340*lu1 + 109423*lu1^2 - 271774*lu1^3 + 78520*lu1^4)* (g44[t] + I*g44n[t])))/(143*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (Sqrt[2/21]*(-1 + 5*lu1)*mar*f20[t]* (f22[t] - I*f22n[t])*(2*(15993 - 42112*lu1 - 755487*lu1^2 - 899718*lu1^3 + 312824*lu1^4)*(f44[t] + I*f44n[t]) + (10413 + 167995*lu1 + 319248*lu1^2 + 213270*lu1^3 + 122074*lu1^4)* (g44[t] + I*g44n[t])))/(11*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (75*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (2*(112170 - 880569*lu1 - 1401191*lu1^2 + 1807046*lu1^3 + 2151184*lu1^4)*(f44[t] + I*f44n[t]) + (51603 + 1012518*lu1 + 250637*lu1^2 - 972302*lu1^3 + 143624*lu1^4)* (g44[t] + I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (75*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (2*(112170 - 880569*lu1 - 1401191*lu1^2 + 1807046*lu1^3 + 2151184*lu1^4)*(f44[t] + I*f44n[t]) + (51603 + 1012518*lu1 + 250637*lu1^2 - 972302*lu1^3 + 143624*lu1^4)* (g44[t] + I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (15*Sqrt[2/7]*(-1 + 5*lu1)*mar* f20[t]*(f42[t] - I*f42n[t])*(2*(4950 - 67718*lu1 + 201795*lu1^2 + 466407*lu1^3 + 624970*lu1^4)*(f44[t] + I*f44n[t]) + (936 + 46241*lu1 - 9915*lu1^2 - 437742*lu1^3 + 155480*lu1^4)* (g44[t] + I*g44n[t])))/(143*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (2*(59499 - 512608*lu1 - 695481*lu1^2 + 2203686*lu1^3 + 2464112*lu1^4)*(f44[t] + I*f44n[t]) + (26793 + 495196*lu1 - 305103*lu1^2 - 216558*lu1^3 + 991432*lu1^4)* (g44[t] + I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (2*(59499 - 512608*lu1 - 695481*lu1^2 + 2203686*lu1^3 + 2464112*lu1^4)*(f44[t] + I*f44n[t]) + (26793 + 495196*lu1 - 305103*lu1^2 - 216558*lu1^3 + 991432*lu1^4)* (g44[t] + I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (2025*lu1*mar*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(2*(1261266 - 6363777*lu1 - 36465085*lu1^2 - 17941900*lu1^3 + 57899104*lu1^4 + 42451192*lu1^5)* (f44[t] + I*f44n[t]) + 3*(220177 + 4354036*lu1 + 8461475*lu1^2 - 1462060*lu1^3 - 5366892*lu1^4 + 519984*lu1^5)* (g44[t] + I*g44n[t])))/(20449*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) + (675*Sqrt[5/14]*lu1*mar*f40[t]*(f42[t] - I*f42n[t])* (2*(-874134 + 4933323*lu1 + 8965007*lu1^2 + 26099888*lu1^3 + 27901516*lu1^4 + 40121440*lu1^5)*(f44[t] + I*f44n[t]) + 3*(-178095 - 3090156*lu1 - 1680349*lu1^2 + 4723364*lu1^3 - 9074204*lu1^4 + 2572720*lu1^5)*(g44[t] + I*g44n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (45*lu1*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (2*(-21897882 + 158015277*lu1 + 739323241*lu1^2 + 978665664*lu1^3 + 855785668*lu1^4 + 1078372512*lu1^5 + 778697920*lu1^6)* (f44[t] + I*f44n[t]) - 45*(164695 + 4202444*lu1 + 7672533*lu1^2 - 6274308*lu1^3 - 7504132*lu1^4 + 8465488*lu1^5)* (g44[t] + I*g44n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) + (45*lu1*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (2*(-21897882 + 158015277*lu1 + 739323241*lu1^2 + 978665664*lu1^3 + 855785668*lu1^4 + 1078372512*lu1^5 + 778697920*lu1^6)* (f44[t] + I*f44n[t]) - 45*(164695 + 4202444*lu1 + 7672533*lu1^2 - 6274308*lu1^3 - 7504132*lu1^4 + 8465488*lu1^5)* (g44[t] + I*g44n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*f40[t]*(f42[t] - I*f42n[t])* (2*(1063917 - 13401134*lu1 - 62025391*lu1^2 - 26149884*lu1^3 + 66670132*lu1^4 + 114103520*lu1^5)*(f44[t] + I*f44n[t]) + (-332649 + 5124506*lu1 + 41361679*lu1^2 + 11898156*lu1^3 - 103700812*lu1^4 + 11204080*lu1^5)*(g44[t] + I*g44n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (45*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (2*(4847715 - 21954058*lu1 - 148107965*lu1^2 - 99469140*lu1^3 + 232074200*lu1^4 + 196828408*lu1^5)*(f44[t] + I*f44n[t]) + (2800953 + 50721166*lu1 + 80566121*lu1^2 - 48913356*lu1^3 - 36070532*lu1^4 + 49126928*lu1^5)*(g44[t] + I*g44n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (3*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (2*(-17507781 + 97301246*lu1 - 231276377*lu1^2 - 1749872868*lu1^3 - 879061636*lu1^4 + 2648640736*lu1^5 + 2336093760*lu1^6)* (f44[t] + I*f44n[t]) - 5*(2629971 + 43473730*lu1 + 10867499*lu1^2 - 220191204*lu1^3 - 45464252*lu1^4 + 256041776*lu1^5)*(g44[t] + I*g44n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (3*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (2*(-17507781 + 97301246*lu1 - 231276377*lu1^2 - 1749872868*lu1^3 - 879061636*lu1^4 + 2648640736*lu1^5 + 2336093760*lu1^6)* (f44[t] + I*f44n[t]) - 5*(2629971 + 43473730*lu1 + 10867499*lu1^2 - 220191204*lu1^3 - 45464252*lu1^4 + 256041776*lu1^5)*(g44[t] + I*g44n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi))/2 + (-154*cap*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (36*(-1196*Sqrt[5]*f20[t]*f42[t] + 29700*f40[t]*f42[t] - 8100*Sqrt[70]*f42[t]*f44[t] + 299*Sqrt[3]*f22[t]* (15*f40[t] + Sqrt[70]*f44[t]) + 299*Sqrt[210]*f22n[t]*f44n[t] - 8100*Sqrt[70]*f42n[t]*f44n[t]) - 2*lu1^4* (52*Sqrt[5]*f20[t]*(2322760*Sqrt[3]*f22[t] + 2965419*f42[t]) - 9*(74354280*Sqrt[Pi]*f42[t] + 96699240*f40[t]*f42[t] - 26372520*Sqrt[70]*f42[t]*f44[t] + 4283383*Sqrt[3]*f22[t]* (15*f40[t] + Sqrt[70]*f44[t]) + 4283383*Sqrt[210]*f22n[t]* f44n[t] - 26372520*Sqrt[70]*f42n[t]*f44n[t])) + 9*lu1^3*(52*Sqrt[5]*f20[t]*(67870*Sqrt[3]*f22[t] + 156207*f42[t]) - 3*(9149140*Sqrt[Pi]*f42[t] + 8652270*f40[t]*f42[t] - 2359710*Sqrt[70]*f42[t]*f44[t] + 676897*Sqrt[3]*f22[t]* (15*f40[t] + Sqrt[70]*f44[t]) + 676897*Sqrt[210]*f22n[t]* f44n[t] - 2359710*Sqrt[70]*f42n[t]*f44n[t])) + 200*lu1^5*(52*Sqrt[5]*f20[t]*(1309*Sqrt[3]*f22[t] - 40731*f42[t]) + 3*(5819814*Sqrt[Pi]*f42[t] + 3978315*f40[t]*f42[t] - 1084995*Sqrt[70]*f42[t]*f44[t] + 176501*Sqrt[3]*f22[t]* (15*f40[t] + Sqrt[70]*f44[t]) + 176501*Sqrt[210]*f22n[t]* f44n[t] - 1084995*Sqrt[70]*f42n[t]*f44n[t])) + 20*lu1^2*(52*Sqrt[5]*f20[t]*(3025*Sqrt[3]*f22[t] + 21018*f42[t]) - 3*(306306*Sqrt[Pi]*f42[t] + 3501333*f40[t]*f42[t] - 954909*Sqrt[70]*f42[t]*f44[t] + 91078*Sqrt[3]*f22[t]* (15*f40[t] + Sqrt[70]*f44[t]) + 91078*Sqrt[210]*f22n[t]* f44n[t] - 954909*Sqrt[70]*f42n[t]*f44n[t])) + lu1*(-52*Sqrt[5]*f20[t]*(4730*Sqrt[3]*f22[t] + 39429*f42[t]) + 9*(180180*Sqrt[Pi]*f42[t] + 2654190*f40[t]*f42[t] - 723870*Sqrt[70]*f42[t]*f44[t] + 56953*Sqrt[3]*f22[t]* (15*f40[t] + Sqrt[70]*f44[t]) + 56953*Sqrt[210]*f22n[t]* f44n[t] - 723870*Sqrt[70]*f42n[t]*f44n[t]))) + 3*(-1 + 17*lu1)*(-77077*(1 + 12*lu1 + 20*lu1^2)^2* (9 - 204*lu1 + 829*lu1^2 + 646*lu1^3)*Pi*sc*f42n[t] + Sqrt[Pi/3]*(2*Sqrt[10]*(-6 - lu1 + 2*lu1^2)*f22[t]* (8580*Sqrt[3]*(-6 + 167*lu1 - 406*lu1^2 - 17393*lu1^3 + 93670* lu1^4)*f22n[t] + (-4304416 - 35487707*lu1 + 466153569*lu1^2 - 1220140552*lu1^3 + 1366318270*lu1^4 + 7468761300*lu1^5)* f42n[t]) + 5*(4*Sqrt[10]*(3334164 + 8408146*lu1 - 260039406* lu1^2 + 492649178*lu1^3 + 140913613*lu1^4 - 2261307033* lu1^5 + 1049781578*lu1^6)*f22n[t]*f42[t] + Sqrt[3]*(44*Sqrt[10]*(434286 + 4261035*lu1 - 13536883*lu1^2 + 27661487*lu1^3 - 56561331*lu1^4 - 255514162*lu1^5 + 139145840*lu1^6)*f42[t]*f42n[t] + Sqrt[7]* (1001*(-261 + 2820*lu1 + 41347*lu1^2 - 194662*lu1^3 - 679572*lu1^4 - 277352*lu1^5 + 51680*lu1^6)*Sqrt[Pi] - 2*(-2 + lu1)*(3*Sqrt[5]*(127436 + 595695*lu1 - 3685335* lu1^2 - 4995212*lu1^3 - 11740496*lu1^4 + 85459208* lu1^5)*f20[t] + 20*(-582255 - 6823233*lu1 - 5775449* lu1^2 - 43523337*lu1^3 + 5452002*lu1^4 + 121522768* lu1^5)*f40[t]))*f44n[t])))) - 154*(3 + 8*lu1 + 4*lu1^2)* mar*Sqrt[Pi]*(60060*Sqrt[Pi]*f42[t] - 2242240*lu1*Sqrt[Pi]*f42[t] + 8548540*lu1^2*Sqrt[Pi]*f42[t] + 287447160*lu1^3*Sqrt[Pi]*f42[t] - 1159478320*lu1^4*Sqrt[Pi]*f42[t] - 3362559200*lu1^5*Sqrt[Pi]* f42[t] - 237600*f40[t]*f42[t] - 18884250*lu1*f40[t]*f42[t] + 246519900*lu1^2*f40[t]*f42[t] - 201618450*lu1^3*f40[t]*f42[t] - 2976870600*lu1^4*f40[t]*f42[t] - 2880563400*lu1^5*f40[t]*f42[t] + 64800*Sqrt[70]*f42[t]*f44[t] + 5150250*Sqrt[70]*lu1*f42[t]*f44[t] - 67232700*Sqrt[70]*lu1^2*f42[t]*f44[t] + 54986850*Sqrt[70]*lu1^3* f42[t]*f44[t] + 811873800*Sqrt[70]*lu1^4*f42[t]*f44[t] + 785608200*Sqrt[70]*lu1^5*f42[t]*f44[t] + 17550*Sqrt[210]*f22n[t]* f44n[t] - 611481*Sqrt[210]*lu1*f22n[t]*f44n[t] + 3479034*Sqrt[210]*lu1^2*f22n[t]*f44n[t] + 8129511*Sqrt[210]*lu1^3* f22n[t]*f44n[t] - 132965742*Sqrt[210]*lu1^4*f22n[t]*f44n[t] - 155524200*Sqrt[210]*lu1^5*f22n[t]*f44n[t] + 64800*Sqrt[70]*f42n[t]* f44n[t] + 5150250*Sqrt[70]*lu1*f42n[t]*f44n[t] - 67232700*Sqrt[70]*lu1^2*f42n[t]*f44n[t] + 54986850*Sqrt[70]*lu1^3* f42n[t]*f44n[t] + 811873800*Sqrt[70]*lu1^4*f42n[t]*f44n[t] + 785608200*Sqrt[70]*lu1^5*f42n[t]*f44n[t] + 37284*Sqrt[5]*f42[t]* g20[t] - 233792*Sqrt[5]*lu1*f42[t]*g20[t] - 6130696*Sqrt[5]*lu1^2* f42[t]*g20[t] - 6883032*Sqrt[5]*lu1^3*f42[t]*g20[t] - 71334380*Sqrt[5]*lu1^4*f42[t]*g20[t] - 89416600*Sqrt[5]*lu1^5*f42[t]* g20[t] - 139815*Sqrt[3]*f40[t]*g22[t] + 876720*Sqrt[3]*lu1*f40[t]* g22[t] + 22990110*Sqrt[3]*lu1^2*f40[t]*g22[t] + 25811370*Sqrt[3]*lu1^3*f40[t]*g22[t] + 267503925*Sqrt[3]*lu1^4* f40[t]*g22[t] + 335312250*Sqrt[3]*lu1^5*f40[t]*g22[t] - 9321*Sqrt[210]*f44[t]*g22[t] + 58448*Sqrt[210]*lu1*f44[t]*g22[t] + 1532674*Sqrt[210]*lu1^2*f44[t]*g22[t] + 1720758*Sqrt[210]*lu1^3* f44[t]*g22[t] + 17833595*Sqrt[210]*lu1^4*f44[t]*g22[t] + 22354150*Sqrt[210]*lu1^5*f44[t]*g22[t] - 9321*Sqrt[210]*f44n[t]* g22n[t] + 58448*Sqrt[210]*lu1*f44n[t]*g22n[t] + 1532674*Sqrt[210]*lu1^2*f44n[t]*g22n[t] + 1720758*Sqrt[210]*lu1^3* f44n[t]*g22n[t] + 17833595*Sqrt[210]*lu1^4*f44n[t]*g22n[t] + 22354150*Sqrt[210]*lu1^5*f44n[t]*g22n[t] - 221265*f42[t]*g40[t] - 1112760*lu1*f42[t]*g40[t] - 6922575*lu1^2*f42[t]*g40[t] + 99812790*lu1^3*f42[t]*g40[t] + 269261190*lu1^4*f42[t]*g40[t] + 94614300*lu1^5*f42[t]*g40[t] - 30030*Sqrt[Pi]*g42[t] + 310310*lu1*Sqrt[Pi]*g42[t] + 4914910*lu1^2*Sqrt[Pi]*g42[t] - 20210190*lu1^3*Sqrt[Pi]*g42[t] - 89449360*lu1^4*Sqrt[Pi]*g42[t] - 64664600*lu1^5*Sqrt[Pi]*g42[t] - 221265*f40[t]*g42[t] - 1112760*lu1*f40[t]*g42[t] - 6922575*lu1^2*f40[t]*g42[t] + 99812790*lu1^3*f40[t]*g42[t] + 269261190*lu1^4*f40[t]*g42[t] + 94614300*lu1^5*f40[t]*g42[t] + 60345*Sqrt[70]*f44[t]*g42[t] + 303480*Sqrt[70]*lu1*f44[t]*g42[t] + 1887975*Sqrt[70]*lu1^2*f44[t]* g42[t] - 27221670*Sqrt[70]*lu1^3*f44[t]*g42[t] - 73434870*Sqrt[70]*lu1^4*f44[t]*g42[t] - 25803900*Sqrt[70]*lu1^5* f44[t]*g42[t] + 26*Sqrt[5]*f20[t]* (33*Sqrt[3]*(-41 + 857*lu1 + 849*lu1^2 - 82013*lu1^3 + 362480*lu1^4 + 5100*lu1^5)*f22[t] + 6*(-450 + 15679*lu1 - 89206*lu1^2 - 208449*lu1^3 + 3409378*lu1^4 + 3987800*lu1^5)* f42[t] + 297*Sqrt[3]*g22[t] - 4279*Sqrt[3]*lu1*g22[t] - 30503*Sqrt[3]*lu1^2*g22[t] + 343431*Sqrt[3]*lu1^3*g22[t] - 790570*Sqrt[3]*lu1^4*g22[t] - 261800*Sqrt[3]*lu1^5*g22[t] + 894*g42[t] - 166*lu1*g42[t] + 58504*lu1^2*g42[t] - 414834*lu1^3*g42[t] - 1106866*lu1^4*g42[t] - 55100*lu1^5*g42[t]) + 60345*Sqrt[70]*f44n[t]*g42n[t] + 303480*Sqrt[70]*lu1*f44n[t]* g42n[t] + 1887975*Sqrt[70]*lu1^2*f44n[t]*g42n[t] - 27221670*Sqrt[70]*lu1^3*f44n[t]*g42n[t] - 73434870*Sqrt[70]*lu1^4* f44n[t]*g42n[t] - 25803900*Sqrt[70]*lu1^5*f44n[t]*g42n[t] + 60345*Sqrt[70]*f42[t]*g44[t] + 303480*Sqrt[70]*lu1*f42[t]*g44[t] + 1887975*Sqrt[70]*lu1^2*f42[t]*g44[t] - 27221670*Sqrt[70]*lu1^3* f42[t]*g44[t] - 73434870*Sqrt[70]*lu1^4*f42[t]*g44[t] - 25803900*Sqrt[70]*lu1^5*f42[t]*g44[t] - 13*Sqrt[3]*f22[t]* (45*(-450 + 15679*lu1 - 89206*lu1^2 - 208449*lu1^3 + 3409378*lu1^4 + 3987800*lu1^5)*f40[t] + 3*Sqrt[70]* (-450 + 15679*lu1 - 89206*lu1^2 - 208449*lu1^3 + 3409378*lu1^4 + 3987800*lu1^5)*f44[t] - 594*Sqrt[5]*g20[t] + 8558*Sqrt[5]*lu1* g20[t] + 61006*Sqrt[5]*lu1^2*g20[t] - 686862*Sqrt[5]*lu1^3* g20[t] + 1581140*Sqrt[5]*lu1^4*g20[t] + 523600*Sqrt[5]*lu1^5* g20[t] + 6705*g40[t] - 1245*lu1*g40[t] + 438780*lu1^2*g40[t] - 3111255*lu1^3*g40[t] - 8301495*lu1^4*g40[t] - 413250*lu1^5*g40[t] + 447*Sqrt[70]*g44[t] - 83*Sqrt[70]*lu1* g44[t] + 29252*Sqrt[70]*lu1^2*g44[t] - 207417*Sqrt[70]*lu1^3* g44[t] - 553433*Sqrt[70]*lu1^4*g44[t] - 27550*Sqrt[70]*lu1^5* g44[t]) - 5811*Sqrt[210]*f22n[t]*g44n[t] + 1079*Sqrt[210]*lu1* f22n[t]*g44n[t] - 380276*Sqrt[210]*lu1^2*f22n[t]*g44n[t] + 2696421*Sqrt[210]*lu1^3*f22n[t]*g44n[t] + 7194629*Sqrt[210]*lu1^4* f22n[t]*g44n[t] + 358150*Sqrt[210]*lu1^5*f22n[t]*g44n[t] + 60345*Sqrt[70]*f42n[t]*g44n[t] + 303480*Sqrt[70]*lu1*f42n[t]* g44n[t] + 1887975*Sqrt[70]*lu1^2*f42n[t]*g44n[t] - 27221670*Sqrt[70]*lu1^3*f42n[t]*g44n[t] - 73434870*Sqrt[70]*lu1^4* f42n[t]*g44n[t] - 25803900*Sqrt[70]*lu1^5*f42n[t]*g44n[t]))/ (231231*(-9 + 51*lu1 + 38*lu1^2)*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)^2* Pi) eqF42nf = ((-I/51102051)*cap*(-1105*(-3 + 37*lu1 + 6846*lu1^2)* (f22[t] - I*f22n[t])^2*(286*Sqrt[3]*(-409212 - 9602793*lu1 + 904917447*lu1^2 + 7034075208*lu1^3 - 418189583502*lu1^4 - 222809621353*lu1^5 + 43144543034547*lu1^6 - 42487027285702* lu1^7 - 869590577720752*lu1^8 + 1831123312175552*lu1^9 + 1089624199093040*lu1^10 - 5053002092085600*lu1^11 - 861078548944000*lu1^12 + 1524613453440000*lu1^13)* (f22[t] + I*f22n[t]) + 45*(78580800 + 1329241023*lu1 - 121032868131*lu1^2 - 1099227231446*lu1^3 + 30041065406398*lu1^4 - 74139685859793*lu1^5 - 351115863786375*lu1^6 + 5481201832262300* lu1^7 - 13894305323563500*lu1^8 - 115393405267614420*lu1^9 - 201080526609347480*lu1^10 - 82757272660451472*lu1^11 + 49144651324973920*lu1^12 + 10331972807184000*lu1^13)* (f42[t] + I*f42n[t])) + 1105*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]^2* (143*Sqrt[3]*(-409212 - 9602793*lu1 + 904917447*lu1^2 + 7034075208*lu1^3 - 418189583502*lu1^4 - 222809621353*lu1^5 + 43144543034547*lu1^6 - 42487027285702*lu1^7 - 869590577720752* lu1^8 + 1831123312175552*lu1^9 + 1089624199093040*lu1^10 - 5053002092085600*lu1^11 - 861078548944000*lu1^12 + 1524613453440000*lu1^13)*(f22[t] + I*f22n[t]) - 6*(-274314762 + 1272861216*lu1 + 406732656015*lu1^2 - 5427391808829*lu1^3 - 60355929713940*lu1^4 + 1165880622543126* lu1^5 + 621198259016927*lu1^6 - 41307713415651481*lu1^7 + 211886178854454544*lu1^8 + 609086584723907616*lu1^9 - 62472123708455632*lu1^10 + 21792110623427824*lu1^11 + 1128556104677388160*lu1^12 + 514787954446416000*lu1^13)* (f42[t] + I*f42n[t])) - 1105*(-3 + 37*lu1 + 6846*lu1^2)* (f22[t] - I*f22n[t])*(143*Sqrt[3]*(-409212 - 9602793*lu1 + 904917447*lu1^2 + 7034075208*lu1^3 - 418189583502*lu1^4 - 222809621353*lu1^5 + 43144543034547*lu1^6 - 42487027285702* lu1^7 - 869590577720752*lu1^8 + 1831123312175552*lu1^9 + 1089624199093040*lu1^10 - 5053002092085600*lu1^11 - 861078548944000*lu1^12 + 1524613453440000*lu1^13)*f20[t]^2 - 6*Sqrt[15]*(-57975318 + 5448243438*lu1 + 31335942897*lu1^2 - 5080818629927*lu1^3 - 15244653033026*lu1^4 + 161630682965508* lu1^5 + 6318371354170653*lu1^6 + 18605224549349345*lu1^7 - 1943147717008542*lu1^8 - 89688694559748444*lu1^9 - 245645855154746792*lu1^10 - 106997398442899968*lu1^11 + 222155773768415680*lu1^12 + 118965775145616000*lu1^13)*f20[t]* f40[t] - 3*((-1076186952 - 28839737223*lu1 + 1903592778423*lu1^2 + 9418631972930*lu1^3 - 270269475836414*lu1^4 + 4073337695842369* lu1^5 - 29925762685625733*lu1^6 - 284556457977430864*lu1^7 + 908853956094929900*lu1^8 + 3337795195862208372*lu1^9 + 1797517996892434456*lu1^10 + 961264567277499856*lu1^11 + 3149196570419764640*lu1^12 + 1386783783382704000*lu1^13)* (f22[t] + I*f22n[t])*(f42[t] - I*f42n[t]) + Sqrt[3]*((-70659756 + 380311641*lu1 + 143962435617*lu1^2 - 2642495675296*lu1^3 - 60803148183678*lu1^4 - 1085685573113383* lu1^5 - 1304960798159939*lu1^6 - 43771459267113794*lu1^7 + 65409253814068284*lu1^8 + 342268498728388032*lu1^9 - 395887018371374528*lu1^10 - 537479239393411520*lu1^11 + 686843144170528000*lu1^12 + 380528148586320000*lu1^13)*f40[t]^ 2 + 2*((-1040169492 + 846120204*lu1 + 1093955827461*lu1^2 + 768824248607*lu1^3 - 121528616814772*lu1^4 + 1272109066295030*lu1^5 - 1756256421274531*lu1^6 - 1050434231705605*lu1^7 + 167205750638397998*lu1^8 + 686105557117493988*lu1^9 + 579255788193231704*lu1^10 - 1590770112368434080*lu1^11 - 2643998912666899200*lu1^12 - 810710133866416000*lu1^13)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) + 7*(501241068 - 488986893*lu1 - 555771023913*lu1^2 + 601696552820*lu1^3 + 82101961148966* lu1^4 - 460573097849941*lu1^5 - 1375057093817557*lu1^6 + 276365707208366*lu1^7 - 89329222348531684*lu1^8 - 293754619957382160*lu1^9 - 147521188103051680*lu1^10 + 429776153737273920*lu1^11 + 526184602506259200*lu1^12 + 133493708498864000*lu1^13)*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]))))) + 221*(-3 + 37*lu1 + 6846*lu1^2)* (f22[t] - I*f22n[t])*(1430*Sqrt[3]*(-409212 - 9602793*lu1 + 904917447*lu1^2 + 7034075208*lu1^3 - 418189583502*lu1^4 - 222809621353*lu1^5 + 43144543034547*lu1^6 - 42487027285702* lu1^7 - 869590577720752*lu1^8 + 1831123312175552*lu1^9 + 1089624199093040*lu1^10 - 5053002092085600*lu1^11 - 861078548944000*lu1^12 + 1524613453440000*lu1^13)* (f22[t] + I*f22n[t])^2 - 15*(-1076186952 - 28839737223*lu1 + 1903592778423*lu1^2 + 9418631972930*lu1^3 - 270269475836414* lu1^4 + 4073337695842369*lu1^5 - 29925762685625733*lu1^6 - 284556457977430864*lu1^7 + 908853956094929900*lu1^8 + 3337795195862208372*lu1^9 + 1797517996892434456*lu1^10 + 961264567277499856*lu1^11 + 3149196570419764640*lu1^12 + 1386783783382704000*lu1^13)*(f22[t] + I*f22n[t])* (f42[t] + I*f42n[t]) - 6*Sqrt[3]*(5*(-533511684 + 779862870*lu1 + 693895611717*lu1^2 - 4035931480695*lu1^3 - 172777275356608*lu1^ 4 + 145212024400476*lu1^5 + 11057802784631221*lu1^6 + 11592813317345737*lu1^7 + 118214602599478274*lu1^8 + 84433515859171356*lu1^9 - 285053584252598456*lu1^10 + 1059585227464532960*lu1^11 + 2353817876133305600*lu1^12 + 825446260967216000*lu1^13)*(f42[t] + I*f42n[t])^2 - 2*Sqrt[70]*(-1154960532 + 1252067382*lu1 + 1346756709249*lu1^2 - 3470022468147*lu1^3 - 245978837919176*lu1^4 + 1109337413522964* lu1^5 + 11600740815139937*lu1^6 + 22024320061017437*lu1^7 + 209706252395404018*lu1^8 + 398925105191378604*lu1^9 + 93057459464769224*lu1^10 + 412995576843331360*lu1^11 + 993833101073056000*lu1^12 + 382206182574160000*lu1^13)*f40[t]* (f44[t] + I*f44n[t]))) + 3*(16575*(-235742400 - 1080233469*lu1 + 950244679044*lu1^2 + 7919449616949*lu1^3 - 959385619007522*lu1^4 - 6191371148863211* lu1^5 + 203971312986747492*lu1^6 - 536995181853025653*lu1^7 - 2159251819717127650*lu1^8 + 37356398662498699560*lu1^9 - 98786728660189412100*lu1^10 - 797174960128652821664*lu1^11 - 1379806738210004474304*lu1^12 - 564768932452848294272*lu1^13 + 336826565964637264320*lu1^14 + 70732685837981664000*lu1^15)* (f22[t] + I*f22n[t])^2*(f42[t] - I*f42n[t]) - 1105*Sqrt[3]*(-3 + 37*lu1 + 6846*lu1^2)*(f22[t] + I*f22n[t])* ((-70659756 + 380311641*lu1 + 143962435617*lu1^2 - 2642495675296*lu1^3 - 60803148183678*lu1^4 - 1085685573113383* lu1^5 - 1304960798159939*lu1^6 - 43771459267113794*lu1^7 + 65409253814068284*lu1^8 + 342268498728388032*lu1^9 - 395887018371374528*lu1^10 - 537479239393411520*lu1^11 + 686843144170528000*lu1^12 + 380528148586320000*lu1^13)* f40[t]^2 + 2*((-1040169492 + 846120204*lu1 + 1093955827461* lu1^2 + 768824248607*lu1^3 - 121528616814772*lu1^4 + 1272109066295030*lu1^5 - 1756256421274531*lu1^6 - 1050434231705605*lu1^7 + 167205750638397998*lu1^8 + 686105557117493988*lu1^9 + 579255788193231704*lu1^10 - 1590770112368434080*lu1^11 - 2643998912666899200*lu1^12 - 810710133866416000*lu1^13)*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 7*(501241068 - 488986893*lu1 - 555771023913* lu1^2 + 601696552820*lu1^3 + 82101961148966*lu1^4 - 460573097849941*lu1^5 - 1375057093817557*lu1^6 + 276365707208366*lu1^7 - 89329222348531684*lu1^8 - 293754619957382160*lu1^9 - 147521188103051680*lu1^10 + 429776153737273920*lu1^11 + 526184602506259200*lu1^12 + 133493708498864000*lu1^13)*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]))) + 8*(-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)*(5*(81035011116 - 2756289825513*lu1 - 240509270650596*lu1^2 + 6116715687804120*lu1^3 + 160219771756649039*lu1^4 - 1849369123184916951*lu1^5 - 17557622856384961170*lu1^6 + 19660590655873430086*lu1^7 - 1101619501727523209721*lu1^8 - 3054628689983272042230*lu1^9 + 6096786218680101830900*lu1^10 + 7088775831907173327000*lu1^11)* f40[t]^2*(f42[t] + I*f42n[t]) + 2*(f42[t] + I*f42n[t])* (4*(65018425572 - 419349320145*lu1 - 201484085608164*lu1^2 + 28925290479897*lu1^3 + 96421549764980275*lu1^4 - 237781551962556741*lu1^5 + 13078689066768127650*lu1^6 + 185969779545081464087*lu1^7 - 1547572863926337937761*lu1^8 - 3170845035539971411530*lu1^9 + 4141076381924964439300* lu1^10 + 5554038728666498595000*lu1^11)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) + 7*(35038205964 - 63184278465*lu1 - 109352276166468*lu1^2 - 427609415310336*lu1^3 + 49042450307053975*lu1^4 - 14946318204925167*lu1^5 + 9515852506797491550*lu1^6 + 115679176721110088894*lu1^7 - 894271868993880216657*lu1^8 - 1774159797163416979110*lu1^9 + 2163419367430873974100*lu1^10 + 2980912447796747415000* lu1^11)*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])) + 18*Sqrt[70]*(987084036 - 82340488755*lu1 - 2698027284492*lu1^2 + 207264471272796*lu1^3 + 2825936460702885*lu1^4 - 56433465361050053*lu1^5 - 953080752033995350*lu1^6 - 4391674591162984394*lu1^7 + 4640775150120651037*lu1^8 - 17617437467731119490*lu1^9 + 94691330378915995900*lu1^10 + 89984518672584165000*lu1^11)*f40[t]*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]))) - 663*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (10*Sqrt[15]*(-57975318 + 5448243438*lu1 + 31335942897*lu1^2 - 5080818629927*lu1^3 - 15244653033026*lu1^4 + 161630682965508* lu1^5 + 6318371354170653*lu1^6 + 18605224549349345*lu1^7 - 1943147717008542*lu1^8 - 89688694559748444*lu1^9 - 245645855154746792*lu1^10 - 106997398442899968*lu1^11 + 222155773768415680*lu1^12 + 118965775145616000*lu1^13)* (f22[t] + I*f22n[t])*f40[t] + 33*Sqrt[5]*(465904116 - 465788781*lu1 - 516557493627*lu1^2 + 588009871606*lu1^3 + 75855068507358*lu1^4 - 355454922771977*lu1^5 - 676230153242871*lu1^6 + 4280738133592584*lu1^7 - 85997841970785984*lu1^8 - 308124196532799832*lu1^9 - 126828867513167312*lu1^10 + 513427727675093120*lu1^11 + 576680030349216000*lu1^12 + 141685935316240000*lu1^13)*f40[t]* (f42[t] + I*f42n[t]) + 5*Sqrt[14]* (2*Sqrt[3]*(-124099506 + 43759782*lu1 + 171822471807*lu1^2 - 227969901381*lu1^3 - 45136304886206*lu1^4 + 152729808801560*lu1^ 5 + 2574278269772051*lu1^6 - 1106527593233285*lu1^7 + 17878024525748486*lu1^8 + 123961642170236412*lu1^9 + 186225417094214376*lu1^10 + 74677230732968640*lu1^11 + 8525722822840000*lu1^12 + 25879294638960000*lu1^13)* (f22[t] - I*f22n[t]) - 3*(-476116164 + 576889281*lu1 + 567495170823*lu1^2 - 1916508122318*lu1^3 - 110552164804406*lu1^ 4 + 226597850786509*lu1^5 + 4379304166423987*lu1^6 + 55436170984216*lu1^7 + 96964351720975264*lu1^8 + 228023741822229048*lu1^9 - 41954419888367216*lu1^10 + 57702382858650240*lu1^11 + 534901869263328000*lu1^12 + 228988102746928000*lu1^13)*(f42[t] - I*f42n[t]))* (f44[t] + I*f44n[t])) + 3*(2210*(822944286 - 13968229842*lu1 - 3051060963705*lu1^2 + 40045291583778*lu1^3 + 2764746055293837* lu1^4 - 42886735590288492*lu1^5 - 371922706564588359*lu1^6 + 8128526217760821338*lu1^7 + 2088679348287413813*lu1^8 - 276780077180106943646*lu1^9 + 1473296400443505756912*lu1^10 + 4167429914110788397280*lu1^11 - 430263519129052591664*lu1^12 + 189401001337710997024*lu1^13 + 7745142246935916735360*lu1^14 + 3524238336140163936000*lu1^15)*f20[t]^2*(f42[t] - I*f42n[t]) + 221*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (3*(11*Sqrt[5]*(465904116 - 465788781*lu1 - 516557493627*lu1^2 + 588009871606*lu1^3 + 75855068507358*lu1^4 - 355454922771977* lu1^5 - 676230153242871*lu1^6 + 4280738133592584*lu1^7 - 85997841970785984*lu1^8 - 308124196532799832*lu1^9 - 126828867513167312*lu1^10 + 513427727675093120*lu1^11 + 576680030349216000*lu1^12 + 141685935316240000*lu1^13)*f40[ t]*(f42[t] - I*f42n[t]) - 5*Sqrt[14]*(-476116164 + 576889281*lu1 + 567495170823*lu1^2 - 1916508122318*lu1^3 - 110552164804406*lu1^4 + 226597850786509*lu1^5 + 4379304166423987*lu1^6 + 55436170984216*lu1^7 + 96964351720975264*lu1^8 + 228023741822229048*lu1^9 - 41954419888367216*lu1^10 + 57702382858650240*lu1^11 + 534901869263328000*lu1^12 + 228988102746928000*lu1^13)*( f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])) + 10*Sqrt[42]*(-124099506 + 43759782*lu1 + 171822471807*lu1^2 - 227969901381*lu1^3 - 45136304886206*lu1^4 + 152729808801560*lu1^ 5 + 2574278269772051*lu1^6 - 1106527593233285*lu1^7 + 17878024525748486*lu1^8 + 123961642170236412*lu1^9 + 186225417094214376*lu1^10 + 74677230732968640*lu1^11 + 8525722822840000*lu1^12 + 25879294638960000*lu1^13)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])) + 2*(221*Sqrt[3]*(-3 + 37*lu1 + 6846*lu1^2)*(f22[t] + I*f22n[t])* (5*(-533511684 + 779862870*lu1 + 693895611717*lu1^2 - 4035931480695*lu1^3 - 172777275356608*lu1^4 + 145212024400476* lu1^5 + 11057802784631221*lu1^6 + 11592813317345737*lu1^7 + 118214602599478274*lu1^8 + 84433515859171356*lu1^9 - 285053584252598456*lu1^10 + 1059585227464532960*lu1^11 + 2353817876133305600*lu1^12 + 825446260967216000*lu1^13)* (f42[t] - I*f42n[t])^2 - 2*Sqrt[70]*(-1154960532 + 1252067382*lu1 + 1346756709249*lu1^2 - 3470022468147*lu1^3 - 245978837919176*lu1^4 + 1109337413522964*lu1^5 + 11600740815139937*lu1^6 + 22024320061017437*lu1^7 + 209706252395404018*lu1^8 + 398925105191378604*lu1^9 + 93057459464769224*lu1^10 + 412995576843331360*lu1^11 + 993833101073056000*lu1^12 + 382206182574160000*lu1^13)*f40[ t]*(f44[t] - I*f44n[t])) - 4*(-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)*(8*(65018425572 - 419349320145*lu1 - 201484085608164*lu1^2 + 28925290479897*lu1^3 + 96421549764980275*lu1^4 - 237781551962556741*lu1^5 + 13078689066768127650*lu1^6 + 185969779545081464087*lu1^7 - 1547572863926337937761*lu1^8 - 3170845035539971411530*lu1^9 + 4141076381924964439300*lu1^10 + 5554038728666498595000* lu1^11)*(f42[t] - I*f42n[t])^2*(f42[t] + I*f42n[t]) + 18*Sqrt[70]*(987084036 - 82340488755*lu1 - 2698027284492* lu1^2 + 207264471272796*lu1^3 + 2825936460702885*lu1^4 - 56433465361050053*lu1^5 - 953080752033995350*lu1^6 - 4391674591162984394*lu1^7 + 4640775150120651037*lu1^8 - 17617437467731119490*lu1^9 + 94691330378915995900*lu1^10 + 89984518672584165000*lu1^11)*f40[t]*(f42[t] + I*f42n[t])*( f44[t] - I*f44n[t]) + (f42[t] - I*f42n[t])*( 5*(81035011116 - 2756289825513*lu1 - 240509270650596*lu1^2 + 6116715687804120*lu1^3 + 160219771756649039*lu1^4 - 1849369123184916951*lu1^5 - 17557622856384961170*lu1^6 + 19660590655873430086*lu1^7 - 1101619501727523209721*lu1^8 - 3054628689983272042230*lu1^9 + 6096786218680101830900* lu1^10 + 7088775831907173327000*lu1^11)*f40[t]^2 + 14*(35038205964 - 63184278465*lu1 - 109352276166468*lu1^2 - 427609415310336*lu1^3 + 49042450307053975*lu1^4 - 14946318204925167*lu1^5 + 9515852506797491550*lu1^6 + 115679176721110088894*lu1^7 - 894271868993880216657*lu1^8 - 1774159797163416979110*lu1^9 + 2163419367430873974100* lu1^10 + 2980912447796747415000*lu1^11)*(f44[t]^2 + f44n[t]^2)))))))/((-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)^3*(81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)* Pi) + (-((-1 + 17*lu1)*Sqrt[3*Pi]*(-12870*Sqrt[30]*(90 - 1797*lu1 - 3482*lu1^2 + 173887*lu1^3 - 628902*lu1^4 - 167756*lu1^5 + 219640*lu1^6)*f20[t]^2 - 60060*Sqrt[30]*(-18 + 201*lu1 + 2782*lu1^2 - 14467*lu1^3 - 42150*lu1^4 - 1508*lu1^5 + 12920*lu1^6)*f22[t]^2 + 112*Sqrt[10]*(996882 + 1095961*lu1 - 45926463*lu1^2 + 176305193*lu1^3 - 767328035*lu1^4 - 2538776133*lu1^5 + 375036605*lu1^6 + 533482950*lu1^7)*f22[t]* f42[t] + 5*Sqrt[3]*f20[t]*(297297*Sqrt[2*Pi] - 7415280*Sqrt[2]* f40[t] + 3058464*Sqrt[35]*f44[t] + 16*lu1^6* (266741475*Sqrt[2*Pi] - 198285655*Sqrt[2]*f40[t] - 64094406*Sqrt[35]*f44[t]) + 8*lu1^4*(369441072*Sqrt[2*Pi] + 199229375*Sqrt[2]*f40[t] - 27728670*Sqrt[35]*f44[t]) - 2*lu1*(99099*Sqrt[2*Pi] + 15243790*Sqrt[2]*f40[t] - 6383724*Sqrt[35]*f44[t]) - 33*lu1^2*(2401399*Sqrt[2*Pi] - 500350*Sqrt[2]*f40[t] + 2896860*Sqrt[35]*f44[t]) - 14*lu1^3*(18583422*Sqrt[2*Pi] - 166236205*Sqrt[2]*f40[t] + 5404362*Sqrt[35]*f44[t]) + 48*lu1^5*(176341165*Sqrt[2*Pi] + 103468125*Sqrt[2]*f40[t] + 45664728*Sqrt[35]*f44[t])) - 5*(1716*Sqrt[30]*(18 - 2577*lu1 + 28502*lu1^2 + 319123*lu1^3 - 2476806*lu1^4 - 524380*lu1^5 + 839800*lu1^6)*f22n[t]^2 - 4*Sqrt[10]*(-6251088 - 54125042*lu1 + 816899127*lu1^2 - 1354732141*lu1^3 - 3369771836*lu1^4 + 29301156*lu1^5 + 947866784*lu1^6)*f22n[t]*f42n[t] + Sqrt[3]* (110*Sqrt[10]*(-32808 - 267290*lu1 - 6165135*lu1^2 - 4001473*lu1^3 + 2390074*lu1^4 - 34829304*lu1^5 + 17711504*lu1^6)*f40[t]^2 + f40[t]*(-783783*Sqrt[10*Pi] + 93160800*Sqrt[7]*f44[t] + 180*lu1*(47047*Sqrt[10*Pi] + 5806316*Sqrt[7]*f44[t]) + 160*lu1^6*(969969*Sqrt[10*Pi] + 60761384*Sqrt[7]*f44[t]) - 12*lu1^4*(170062893* Sqrt[10*Pi] + 362848940*Sqrt[7]*f44[t]) + lu1^2*(124165041*Sqrt[10*Pi] + 378213200*Sqrt[7]*f44[t]) - 8*lu1^5*(104111007*Sqrt[10*Pi] + 2375935340*Sqrt[7]*f44[t]) + lu1^3*(-584569986*Sqrt[10*Pi] + 6501698000*Sqrt[7]*f44[t])) - 2*(28*Sqrt[10]*(326616 + 2065474*lu1 - 25259511*lu1^2 + 19244318*lu1^3 - 102089963*lu1^4 - 394812918*lu1^5 + 222032480*lu1^6)*f42[t]^2 + 4*Sqrt[10]*(-2490834 - 32413067*lu1 - 27910864*lu1^2 - 169566131*lu1^3 - 92455100*lu1^4 + 46965356*lu1^5 + 23623120*lu1^6)* f42n[t]^2 + 7*(143*(-261 + 2820*lu1 + 41347*lu1^2 - 194662*lu1^3 - 679572*lu1^4 - 277352*lu1^5 + 51680*lu1^6)* Sqrt[7*Pi]*f44[t] + 2*Sqrt[10]*(901920 + 15067742*lu1 + 33481631*lu1^2 + 60755793*lu1^3 + 195211154*lu1^4 + 408360272*lu1^5 - 263154960*lu1^6)*f44[t]^2 + 2*Sqrt[10]* (901920 + 15067742*lu1 + 33481631*lu1^2 + 60755793*lu1^3 + 195211154*lu1^4 + 408360272*lu1^5 - 263154960*lu1^6)* f44n[t]^2)))))) + 154*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (3003*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Sqrt[Pi]*sc* f42[t] - 2*cap*(36*(-1196*Sqrt[5]*f20[t]*f42n[t] + 29700*f40[t]*f42n[t] + 8100*Sqrt[70]*f42n[t]*f44[t] + 299*Sqrt[3]*f22n[t]*(15*f40[t] - Sqrt[70]*f44[t]) + 299*Sqrt[210]*f22[t]*f44n[t] - 8100*Sqrt[70]*f42[t]*f44n[t]) - 2*lu1^4*(52*Sqrt[5]*f20[t]*(2322760*Sqrt[3]*f22n[t] + 2965419* f42n[t]) - 9*(74354280*Sqrt[Pi]*f42n[t] + 96699240*f40[t]* f42n[t] + 26372520*Sqrt[70]*f42n[t]*f44[t] + 4283383*Sqrt[3]* f22n[t]*(15*f40[t] - Sqrt[70]*f44[t]) + 4283383*Sqrt[210]* f22[t]*f44n[t] - 26372520*Sqrt[70]*f42[t]*f44n[t])) + 9*lu1^3*(52*Sqrt[5]*f20[t]*(67870*Sqrt[3]*f22n[t] + 156207* f42n[t]) - 3*(9149140*Sqrt[Pi]*f42n[t] + 8652270*f40[t]* f42n[t] + 2359710*Sqrt[70]*f42n[t]*f44[t] + 676897*Sqrt[3]* f22n[t]*(15*f40[t] - Sqrt[70]*f44[t]) + 676897*Sqrt[210]* f22[t]*f44n[t] - 2359710*Sqrt[70]*f42[t]*f44n[t])) + 200*lu1^5*(52*Sqrt[5]*f20[t]*(1309*Sqrt[3]*f22n[t] - 40731* f42n[t]) + 3*(5819814*Sqrt[Pi]*f42n[t] + 3978315*f40[t]* f42n[t] + 1084995*Sqrt[70]*f42n[t]*f44[t] + 176501*Sqrt[3]* f22n[t]*(15*f40[t] - Sqrt[70]*f44[t]) + 176501*Sqrt[210]* f22[t]*f44n[t] - 1084995*Sqrt[70]*f42[t]*f44n[t])) + 20*lu1^2*(52*Sqrt[5]*f20[t]*(3025*Sqrt[3]*f22n[t] + 21018* f42n[t]) - 3*(306306*Sqrt[Pi]*f42n[t] + 3501333*f40[t]* f42n[t] + 954909*Sqrt[70]*f42n[t]*f44[t] + 91078*Sqrt[3]* f22n[t]*(15*f40[t] - Sqrt[70]*f44[t]) + 91078*Sqrt[210]* f22[t]*f44n[t] - 954909*Sqrt[70]*f42[t]*f44n[t])) + lu1*(-52*Sqrt[5]*f20[t]*(4730*Sqrt[3]*f22n[t] + 39429*f42n[t]) + 9*(180180*Sqrt[Pi]*f42n[t] + 2654190*f40[t]*f42n[t] + 723870* Sqrt[70]*f42n[t]*f44[t] + 56953*Sqrt[3]*f22n[t]*(15*f40[t] - Sqrt[70]*f44[t]) + 56953*Sqrt[210]*f22[t]*f44n[t] - 723870* Sqrt[70]*f42[t]*f44n[t]))) - 2*mar*(60060*Sqrt[Pi]*f42n[t] - 2242240*lu1*Sqrt[Pi]*f42n[t] + 8548540*lu1^2*Sqrt[Pi]*f42n[t] + 287447160*lu1^3*Sqrt[Pi]*f42n[t] - 1159478320*lu1^4*Sqrt[Pi]* f42n[t] - 3362559200*lu1^5*Sqrt[Pi]*f42n[t] - 237600*f40[t]*f42n[t] - 18884250*lu1*f40[t]*f42n[t] + 246519900*lu1^2*f40[t]*f42n[t] - 201618450*lu1^3*f40[t]*f42n[t] - 2976870600*lu1^4*f40[t]*f42n[t] - 2880563400*lu1^5*f40[t]* f42n[t] - 64800*Sqrt[70]*f42n[t]*f44[t] - 5150250*Sqrt[70]*lu1* f42n[t]*f44[t] + 67232700*Sqrt[70]*lu1^2*f42n[t]*f44[t] - 54986850*Sqrt[70]*lu1^3*f42n[t]*f44[t] - 811873800*Sqrt[70]*lu1^4* f42n[t]*f44[t] - 785608200*Sqrt[70]*lu1^5*f42n[t]*f44[t] + 17550*Sqrt[210]*f22[t]*f44n[t] - 611481*Sqrt[210]*lu1*f22[t]* f44n[t] + 3479034*Sqrt[210]*lu1^2*f22[t]*f44n[t] + 8129511*Sqrt[210]*lu1^3*f22[t]*f44n[t] - 132965742*Sqrt[210]*lu1^4* f22[t]*f44n[t] - 155524200*Sqrt[210]*lu1^5*f22[t]*f44n[t] + 64800*Sqrt[70]*f42[t]*f44n[t] + 5150250*Sqrt[70]*lu1*f42[t]* f44n[t] - 67232700*Sqrt[70]*lu1^2*f42[t]*f44n[t] + 54986850*Sqrt[70]*lu1^3*f42[t]*f44n[t] + 811873800*Sqrt[70]*lu1^4* f42[t]*f44n[t] + 785608200*Sqrt[70]*lu1^5*f42[t]*f44n[t] + 37284*Sqrt[5]*f42n[t]*g20[t] - 233792*Sqrt[5]*lu1*f42n[t]*g20[t] - 6130696*Sqrt[5]*lu1^2*f42n[t]*g20[t] - 6883032*Sqrt[5]*lu1^3* f42n[t]*g20[t] - 71334380*Sqrt[5]*lu1^4*f42n[t]*g20[t] - 89416600*Sqrt[5]*lu1^5*f42n[t]*g20[t] - 9321*Sqrt[210]*f44n[t]* g22[t] + 58448*Sqrt[210]*lu1*f44n[t]*g22[t] + 1532674*Sqrt[210]* lu1^2*f44n[t]*g22[t] + 1720758*Sqrt[210]*lu1^3*f44n[t]*g22[t] + 17833595*Sqrt[210]*lu1^4*f44n[t]*g22[t] + 22354150*Sqrt[210]*lu1^5* f44n[t]*g22[t] - 139815*Sqrt[3]*f40[t]*g22n[t] + 876720*Sqrt[3]*lu1*f40[t]*g22n[t] + 22990110*Sqrt[3]*lu1^2*f40[t]* g22n[t] + 25811370*Sqrt[3]*lu1^3*f40[t]*g22n[t] + 267503925*Sqrt[3]*lu1^4*f40[t]*g22n[t] + 335312250*Sqrt[3]*lu1^5* f40[t]*g22n[t] + 9321*Sqrt[210]*f44[t]*g22n[t] - 58448*Sqrt[210]*lu1*f44[t]*g22n[t] - 1532674*Sqrt[210]*lu1^2* f44[t]*g22n[t] - 1720758*Sqrt[210]*lu1^3*f44[t]*g22n[t] - 17833595*Sqrt[210]*lu1^4*f44[t]*g22n[t] - 22354150*Sqrt[210]*lu1^5* f44[t]*g22n[t] - 221265*f42n[t]*g40[t] - 1112760*lu1*f42n[t]* g40[t] - 6922575*lu1^2*f42n[t]*g40[t] + 99812790*lu1^3*f42n[t]* g40[t] + 269261190*lu1^4*f42n[t]*g40[t] + 94614300*lu1^5*f42n[t]* g40[t] + 60345*Sqrt[70]*f44n[t]*g42[t] + 303480*Sqrt[70]*lu1* f44n[t]*g42[t] + 1887975*Sqrt[70]*lu1^2*f44n[t]*g42[t] - 27221670*Sqrt[70]*lu1^3*f44n[t]*g42[t] - 73434870*Sqrt[70]*lu1^4* f44n[t]*g42[t] - 25803900*Sqrt[70]*lu1^5*f44n[t]*g42[t] - 30030*Sqrt[Pi]*g42n[t] + 310310*lu1*Sqrt[Pi]*g42n[t] + 4914910*lu1^2*Sqrt[Pi]*g42n[t] - 20210190*lu1^3*Sqrt[Pi]*g42n[t] - 89449360*lu1^4*Sqrt[Pi]*g42n[t] - 64664600*lu1^5*Sqrt[Pi]* g42n[t] - 221265*f40[t]*g42n[t] - 1112760*lu1*f40[t]*g42n[t] - 6922575*lu1^2*f40[t]*g42n[t] + 99812790*lu1^3*f40[t]*g42n[t] + 269261190*lu1^4*f40[t]*g42n[t] + 94614300*lu1^5*f40[t]*g42n[t] - 60345*Sqrt[70]*f44[t]*g42n[t] - 303480*Sqrt[70]*lu1*f44[t]* g42n[t] - 1887975*Sqrt[70]*lu1^2*f44[t]*g42n[t] + 27221670*Sqrt[70]*lu1^3*f44[t]*g42n[t] + 73434870*Sqrt[70]*lu1^4* f44[t]*g42n[t] + 25803900*Sqrt[70]*lu1^5*f44[t]*g42n[t] + 26*Sqrt[5]*f20[t]*(33*Sqrt[3]*(-41 + 857*lu1 + 849*lu1^2 - 82013* lu1^3 + 362480*lu1^4 + 5100*lu1^5)*f22n[t] + 6*(-450 + 15679*lu1 - 89206*lu1^2 - 208449*lu1^3 + 3409378* lu1^4 + 3987800*lu1^5)*f42n[t] + 297*Sqrt[3]*g22n[t] - 4279*Sqrt[3]*lu1*g22n[t] - 30503*Sqrt[3]*lu1^2*g22n[t] + 343431*Sqrt[3]*lu1^3*g22n[t] - 790570*Sqrt[3]*lu1^4*g22n[t] - 261800*Sqrt[3]*lu1^5*g22n[t] + 894*g42n[t] - 166*lu1*g42n[t] + 58504*lu1^2*g42n[t] - 414834*lu1^3*g42n[t] - 1106866*lu1^4* g42n[t] - 55100*lu1^5*g42n[t]) - 60345*Sqrt[70]*f42n[t]* g44[t] - 303480*Sqrt[70]*lu1*f42n[t]*g44[t] - 1887975*Sqrt[70]* lu1^2*f42n[t]*g44[t] + 27221670*Sqrt[70]*lu1^3*f42n[t]*g44[t] + 73434870*Sqrt[70]*lu1^4*f42n[t]*g44[t] + 25803900*Sqrt[70]*lu1^5* f42n[t]*g44[t] - 13*Sqrt[3]*f22n[t]* (45*(-450 + 15679*lu1 - 89206*lu1^2 - 208449*lu1^3 + 3409378* lu1^4 + 3987800*lu1^5)*f40[t] - 3*Sqrt[70]*(-450 + 15679* lu1 - 89206*lu1^2 - 208449*lu1^3 + 3409378*lu1^4 + 3987800* lu1^5)*f44[t] - 594*Sqrt[5]*g20[t] + 8558*Sqrt[5]*lu1* g20[t] + 61006*Sqrt[5]*lu1^2*g20[t] - 686862*Sqrt[5]*lu1^3* g20[t] + 1581140*Sqrt[5]*lu1^4*g20[t] + 523600*Sqrt[5]*lu1^5* g20[t] + 6705*g40[t] - 1245*lu1*g40[t] + 438780*lu1^2*g40[t] - 3111255*lu1^3*g40[t] - 8301495*lu1^4*g40[t] - 413250*lu1^5* g40[t] - 447*Sqrt[70]*g44[t] + 83*Sqrt[70]*lu1*g44[t] - 29252*Sqrt[70]*lu1^2*g44[t] + 207417*Sqrt[70]*lu1^3*g44[t] + 553433*Sqrt[70]*lu1^4*g44[t] + 27550*Sqrt[70]*lu1^5*g44[t]) - 5811*Sqrt[210]*f22[t]*g44n[t] + 1079*Sqrt[210]*lu1*f22[t]* g44n[t] - 380276*Sqrt[210]*lu1^2*f22[t]*g44n[t] + 2696421*Sqrt[210]*lu1^3*f22[t]*g44n[t] + 7194629*Sqrt[210]*lu1^4* f22[t]*g44n[t] + 358150*Sqrt[210]*lu1^5*f22[t]*g44n[t] + 60345*Sqrt[70]*f42[t]*g44n[t] + 303480*Sqrt[70]*lu1*f42[t]* g44n[t] + 1887975*Sqrt[70]*lu1^2*f42[t]*g44n[t] - 27221670*Sqrt[70]*lu1^3*f42[t]*g44n[t] - 73434870*Sqrt[70]*lu1^4* f42[t]*g44n[t] - 25803900*Sqrt[70]*lu1^5*f42[t]*g44n[t])))/ (462462*(-9 + 51*lu1 + 38*lu1^2)*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)^2* Pi) - (mar*(1105*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]^2* (4290*Sqrt[3]*(232065 - 8290566*lu1 - 84042189*lu1^2 + 4613957916*lu1^3 - 39194139517*lu1^4 - 116323915062*lu1^5 + 6311143544381*lu1^6 - 34021172855056*lu1^7 - 192797638401988* lu1^8 + 796053898755728*lu1^9 + 1674955086059568*lu1^10 + 800100490298240*lu1^11 + 754389729787200*lu1^12 + 464334637536000*lu1^13)*f22n[t] - 12*(263022633 - 23421118815*lu1 + 631472411052*lu1^2 - 2909157523050*lu1^3 - 90978016078635*lu1^4 + 1458415518891653* lu1^5 - 3027363801001614*lu1^6 - 74766761770433164*lu1^7 + 53873492167457876*lu1^8 - 840526638793325152*lu1^9 - 2028783102415079872*lu1^10 + 3244957656897513024*lu1^11 + 6723275566903645760*lu1^12 + 1619117863812960000*lu1^13)* f42n[t] - 292412835*Sqrt[3]*g22n[t] + 6838186212*Sqrt[3]*lu1* g22n[t] + 312776038575*Sqrt[3]*lu1^2*g22n[t] - 5363849454678*Sqrt[3]*lu1^3*g22n[t] - 102349177129485*Sqrt[3]*lu1^4* g22n[t] + 968936141473872*Sqrt[3]*lu1^5*g22n[t] + 11704628660743161*Sqrt[3]*lu1^6*g22n[t] - 8284462381718094*Sqrt[3]* lu1^7*g22n[t] - 89052965274218088*Sqrt[3]*lu1^8*g22n[t] - 965482599028346256*Sqrt[3]*lu1^9*g22n[t] - 2183182885092381744* Sqrt[3]*lu1^10*g22n[t] - 1965168245742530400*Sqrt[3]*lu1^11* g22n[t] - 402328734504153600*Sqrt[3]*lu1^12*g22n[t] + 581669555987520000*Sqrt[3]*lu1^13*g22n[t] + 1289778390*g42n[t] - 32561531820*lu1*g42n[t] + 164277204462*lu1^2*g42n[t] - 4463076785220*lu1^3*g42n[t] - 144864517057134*lu1^4*g42n[t] + 1979184463401740*lu1^5*g42n[t] + 5633174921511402*lu1^6*g42n[t] - 95698466231313004*lu1^7*g42n[t] - 5539172367780064*lu1^8*g42n[t] + 989573212984503440*lu1^9*g42n[t] + 666096022590302624*lu1^10* g42n[t] - 2530757268171138624*lu1^11*g42n[t] - 3233206185955682560*lu1^12*g42n[t] - 755083100390304000*lu1^13* g42n[t]) + 1326*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (-4998126870*Sqrt[5]*f40[t]*f42n[t] - 147760655328*Sqrt[5]*lu1* f40[t]*f42n[t] + 17893329222384*Sqrt[5]*lu1^2*f40[t]*f42n[t] - 205524825474210*Sqrt[5]*lu1^3*f40[t]*f42n[t] - 3164111214525954*Sqrt[5]*lu1^4*f40[t]*f42n[t] + 73857275732535372*Sqrt[5]*lu1^5*f40[t]*f42n[t] + 25896451523102292*Sqrt[5]*lu1^6*f40[t]*f42n[t] - 3187939713328263498*Sqrt[5]*lu1^7*f40[t]*f42n[t] - 4586701901485162668*Sqrt[5]*lu1^8*f40[t]*f42n[t] + 12188681090053932288*Sqrt[5]*lu1^9*f40[t]*f42n[t] + 22798208792070356832*Sqrt[5]*lu1^10*f40[t]*f42n[t] + 1258673659878534240*Sqrt[5]*lu1^11*f40[t]*f42n[t] - 770048235405873600*Sqrt[5]*lu1^12*f40[t]*f42n[t] + 10095916762932000000*Sqrt[5]*lu1^13*f40[t]*f42n[t] - 2181659670*Sqrt[14]*f42n[t]*f44[t] + 153409654080*Sqrt[14]*lu1* f42n[t]*f44[t] - 4085736195240*Sqrt[14]*lu1^2*f42n[t]*f44[t] + 72907542125670*Sqrt[14]*lu1^3*f42n[t]*f44[t] + 780420309553950*Sqrt[14]*lu1^4*f42n[t]*f44[t] - 29730642252555780*Sqrt[14]*lu1^5*f42n[t]*f44[t] - 55751073725653380*Sqrt[14]*lu1^6*f42n[t]*f44[t] + 1739307007656093150*Sqrt[14]*lu1^7*f42n[t]*f44[t] + 3290286893535039780*Sqrt[14]*lu1^8*f42n[t]*f44[t] + 837526953637969920*Sqrt[14]*lu1^9*f42n[t]*f44[t] - 6390884093933020320*Sqrt[14]*lu1^10*f42n[t]*f44[t] - 32792466172938573600*Sqrt[14]*lu1^11*f42n[t]*f44[t] - 36984077230744824000*Sqrt[14]*lu1^12*f42n[t]*f44[t] - 4715256835521120000*Sqrt[14]*lu1^13*f42n[t]*f44[t] - 2007818550*Sqrt[42]*f22[t]*f44n[t] + 80363704860*Sqrt[42]*lu1* f22[t]*f44n[t] - 33513739140*Sqrt[42]*lu1^2*f22[t]*f44n[t] - 20022008125170*Sqrt[42]*lu1^3*f22[t]*f44n[t] + 362451995978790*Sqrt[42]*lu1^4*f22[t]*f44n[t] - 5822816757656200*Sqrt[42]*lu1^5*f22[t]*f44n[t] - 25677524378849040*Sqrt[42]*lu1^6*f22[t]*f44n[t] + 579825957273418190*Sqrt[42]*lu1^7*f22[t]*f44n[t] + 1695864529227097220*Sqrt[42]*lu1^8*f22[t]*f44n[t] - 3137437489489888240*Sqrt[42]*lu1^9*f22[t]*f44n[t] - 16639541080372797760*Sqrt[42]*lu1^10*f22[t]*f44n[t] - 20446480544283986400*Sqrt[42]*lu1^11*f22[t]*f44n[t] - 10833491489591560000*Sqrt[42]*lu1^12*f22[t]*f44n[t] - 3939664929328800000*Sqrt[42]*lu1^13*f22[t]*f44n[t] + 2181659670*Sqrt[14]*f42[t]*f44n[t] - 153409654080*Sqrt[14]*lu1* f42[t]*f44n[t] + 4085736195240*Sqrt[14]*lu1^2*f42[t]*f44n[t] - 72907542125670*Sqrt[14]*lu1^3*f42[t]*f44n[t] - 780420309553950*Sqrt[14]*lu1^4*f42[t]*f44n[t] + 29730642252555780*Sqrt[14]*lu1^5*f42[t]*f44n[t] + 55751073725653380*Sqrt[14]*lu1^6*f42[t]*f44n[t] - 1739307007656093150*Sqrt[14]*lu1^7*f42[t]*f44n[t] - 3290286893535039780*Sqrt[14]*lu1^8*f42[t]*f44n[t] - 837526953637969920*Sqrt[14]*lu1^9*f42[t]*f44n[t] + 6390884093933020320*Sqrt[14]*lu1^10*f42[t]*f44n[t] + 32792466172938573600*Sqrt[14]*lu1^11*f42[t]*f44n[t] + 36984077230744824000*Sqrt[14]*lu1^12*f42[t]*f44n[t] + 4715256835521120000*Sqrt[14]*lu1^13*f42[t]*f44n[t] + 3231741240*f42n[t]*g20[t] - 108895122630*lu1*f42n[t]*g20[t] - 1611433026630*lu1^2*f42n[t]*g20[t] + 54400384376520*lu1^3*f42n[t]* g20[t] + 348806520296220*lu1^4*f42n[t]*g20[t] - 7811180261775310*lu1^5*f42n[t]*g20[t] - 25746980978024670*lu1^6* f42n[t]*g20[t] + 200073148649693060*lu1^7*f42n[t]*g20[t] - 2208937052626250800*lu1^8*f42n[t]*g20[t] - 11998872115637803480* lu1^9*f42n[t]*g20[t] - 4252380485844463840*lu1^10*f42n[t]*g20[t] + 37204576070810198400*lu1^11*f42n[t]*g20[t] + 44046340903222784000* lu1^12*f42n[t]*g20[t] + 9617855470938960000*lu1^13*f42n[t]* g20[t] + 1071078255*Sqrt[42]*f44n[t]*g22[t] - 23230534545*Sqrt[42]* lu1*f44n[t]*g22[t] - 994982134020*Sqrt[42]*lu1^2*f44n[t]*g22[t] + 13998036839670*Sqrt[42]*lu1^3*f44n[t]*g22[t] + 248582806236455*Sqrt[42]*lu1^4*f44n[t]*g22[t] - 1239799339447245*Sqrt[42]*lu1^5*f44n[t]*g22[t] - 23334503267730850*Sqrt[42]*lu1^6*f44n[t]*g22[t] - 93413803795674520*Sqrt[42]*lu1^7*f44n[t]*g22[t] - 215939941612332400*Sqrt[42]*lu1^8*f44n[t]*g22[t] + 1013596748336785040*Sqrt[42]*lu1^9*f44n[t]*g22[t] + 5221640167494116880*Sqrt[42]*lu1^10*f44n[t]*g22[t] + 6030287701941332000*Sqrt[42]*lu1^11*f44n[t]*g22[t] + 1730727346776072000*Sqrt[42]*lu1^12*f44n[t]*g22[t] + 203622012174000000*Sqrt[42]*lu1^13*f44n[t]*g22[t] + 626913027*Sqrt[15]*f40[t]*g22n[t] - 17080959087*Sqrt[15]*lu1*f40[t]* g22n[t] - 574462733082*Sqrt[15]*lu1^2*f40[t]*g22n[t] + 9276818423522*Sqrt[15]*lu1^3*f40[t]*g22n[t] + 269637316697127* Sqrt[15]*lu1^4*f40[t]*g22n[t] - 1097618318645347*Sqrt[15]*lu1^5* f40[t]*g22n[t] - 35894585410931832*Sqrt[15]*lu1^6*f40[t]*g22n[t] - 159713778103626528*Sqrt[15]*lu1^7*f40[t]*g22n[t] - 645972500217273848*Sqrt[15]*lu1^8*f40[t]*g22n[t] - 1112946503613545472*Sqrt[15]*lu1^9*f40[t]*g22n[t] + 497117450897770320*Sqrt[15]*lu1^10*f40[t]*g22n[t] + 3618769101488520800*Sqrt[15]*lu1^11*f40[t]*g22n[t] + 3012988978203368000*Sqrt[15]*lu1^12*f40[t]*g22n[t] + 289814488929840000*Sqrt[15]*lu1^13*f40[t]*g22n[t] - 1071078255*Sqrt[42]*f44[t]*g22n[t] + 23230534545*Sqrt[42]*lu1* f44[t]*g22n[t] + 994982134020*Sqrt[42]*lu1^2*f44[t]*g22n[t] - 13998036839670*Sqrt[42]*lu1^3*f44[t]*g22n[t] - 248582806236455*Sqrt[42]*lu1^4*f44[t]*g22n[t] + 1239799339447245*Sqrt[42]*lu1^5*f44[t]*g22n[t] + 23334503267730850*Sqrt[42]*lu1^6*f44[t]*g22n[t] + 93413803795674520*Sqrt[42]*lu1^7*f44[t]*g22n[t] + 215939941612332400*Sqrt[42]*lu1^8*f44[t]*g22n[t] - 1013596748336785040*Sqrt[42]*lu1^9*f44[t]*g22n[t] - 5221640167494116880*Sqrt[42]*lu1^10*f44[t]*g22n[t] - 6030287701941332000*Sqrt[42]*lu1^11*f44[t]*g22n[t] - 1730727346776072000*Sqrt[42]*lu1^12*f44[t]*g22n[t] - 203622012174000000*Sqrt[42]*lu1^13*f44[t]*g22n[t] - 3582688725*Sqrt[5]*f42n[t]*g40[t] + 5039626977*Sqrt[5]*lu1*f42n[t]* g40[t] + 1304700963489*Sqrt[5]*lu1^2*f42n[t]*g40[t] + 42655962544965*Sqrt[5]*lu1^3*f42n[t]*g40[t] + 263205701575971* Sqrt[5]*lu1^4*f42n[t]*g40[t] - 6484264826323053*Sqrt[5]*lu1^5* f42n[t]*g40[t] - 13087931431289253*Sqrt[5]*lu1^6*f42n[t]*g40[t] + 191204933333553447*Sqrt[5]*lu1^7*f42n[t]*g40[t] + 338221053145067862*Sqrt[5]*lu1^8*f42n[t]*g40[t] - 1283602429259329872*Sqrt[5]*lu1^9*f42n[t]*g40[t] - 3787592425021825728*Sqrt[5]*lu1^10*f42n[t]*g40[t] - 3445606080910353360*Sqrt[5]*lu1^11*f42n[t]*g40[t] - 2050970061225069600*Sqrt[5]*lu1^12*f42n[t]*g40[t] - 1418238141769680000*Sqrt[5]*lu1^13*f42n[t]*g40[t] - 375868755*Sqrt[14]*f44n[t]*g42[t] + 29090641725*Sqrt[14]*lu1* f44n[t]*g42[t] - 599169609675*Sqrt[14]*lu1^2*f44n[t]*g42[t] - 14584636568655*Sqrt[14]*lu1^3*f44n[t]*g42[t] - 266403803274945*Sqrt[14]*lu1^4*f44n[t]*g42[t] - 767112418424205*Sqrt[14]*lu1^5*f44n[t]*g42[t] + 10276844780710335*Sqrt[14]*lu1^6*f44n[t]*g42[t] + 200994199021042755*Sqrt[14]*lu1^7*f44n[t]*g42[t] - 253305815335315920*Sqrt[14]*lu1^8*f44n[t]*g42[t] - 3410689551618901620*Sqrt[14]*lu1^9*f44n[t]*g42[t] - 4229047543564715280*Sqrt[14]*lu1^10*f44n[t]*g42[t] + 2354801292887734800*Sqrt[14]*lu1^11*f44n[t]*g42[t] + 4264043497309776000*Sqrt[14]*lu1^12*f44n[t]*g42[t] + 267122970247560000*Sqrt[14]*lu1^13*f44n[t]*g42[t] - 2741848461*Sqrt[5]*f40[t]*g42n[t] + 1708611003*Sqrt[5]*lu1*f40[t]* g42n[t] + 2771087118723*Sqrt[5]*lu1^2*f40[t]*g42n[t] + 19691021876823*Sqrt[5]*lu1^3*f40[t]*g42n[t] - 396876891912039* Sqrt[5]*lu1^4*f40[t]*g42n[t] - 3354824512813851*Sqrt[5]*lu1^5* f40[t]*g42n[t] + 22289980595693481*Sqrt[5]*lu1^6*f40[t]*g42n[t] + 28967105547962901*Sqrt[5]*lu1^7*f40[t]*g42n[t] - 73569406366896264*Sqrt[5]*lu1^8*f40[t]*g42n[t] + 836237433737133252*Sqrt[5]*lu1^9*f40[t]*g42n[t] + 565126045665703632*Sqrt[5]*lu1^10*f40[t]*g42n[t] - 6613867221294255120*Sqrt[5]*lu1^11*f40[t]*g42n[t] - 9789421797733248000*Sqrt[5]*lu1^12*f40[t]*g42n[t] - 2696047300374120000*Sqrt[5]*lu1^13*f40[t]*g42n[t] + 375868755*Sqrt[14]*f44[t]*g42n[t] - 29090641725*Sqrt[14]*lu1*f44[t]* g42n[t] + 599169609675*Sqrt[14]*lu1^2*f44[t]*g42n[t] + 14584636568655*Sqrt[14]*lu1^3*f44[t]*g42n[t] + 266403803274945*Sqrt[14]*lu1^4*f44[t]*g42n[t] + 767112418424205*Sqrt[14]*lu1^5*f44[t]*g42n[t] - 10276844780710335*Sqrt[14]*lu1^6*f44[t]*g42n[t] - 200994199021042755*Sqrt[14]*lu1^7*f44[t]*g42n[t] + 253305815335315920*Sqrt[14]*lu1^8*f44[t]*g42n[t] + 3410689551618901620*Sqrt[14]*lu1^9*f44[t]*g42n[t] + 4229047543564715280*Sqrt[14]*lu1^10*f44[t]*g42n[t] - 2354801292887734800*Sqrt[14]*lu1^11*f44[t]*g42n[t] - 4264043497309776000*Sqrt[14]*lu1^12*f44[t]*g42n[t] - 267122970247560000*Sqrt[14]*lu1^13*f44[t]*g42n[t] + 2311101315*Sqrt[14]*f42n[t]*g44[t] + 9143651385*Sqrt[14]*lu1* f42n[t]*g44[t] - 1845430722135*Sqrt[14]*lu1^2*f42n[t]*g44[t] - 32239771567875*Sqrt[14]*lu1^3*f42n[t]*g44[t] - 40437493346565*Sqrt[14]*lu1^4*f42n[t]*g44[t] + 3482196061166235*Sqrt[14]*lu1^5*f42n[t]*g44[t] - 2569848320311245*Sqrt[14]*lu1^6*f42n[t]*g44[t] + 17470979942488335*Sqrt[14]*lu1^7*f42n[t]*g44[t] - 207258637923278010*Sqrt[14]*lu1^8*f42n[t]*g44[t] - 1313540511068126160*Sqrt[14]*lu1^9*f42n[t]*g44[t] - 4795090265234880*Sqrt[14]*lu1^10*f42n[t]*g44[t] + 5599584477087246000*Sqrt[14]*lu1^11*f42n[t]*g44[t] + 5536285201062540000*Sqrt[14]*lu1^12*f42n[t]*g44[t] + 690229609740720000*Sqrt[14]*lu1^13*f42n[t]*g44[t] + Sqrt[3]*f22n[t]*(2*Sqrt[5]*(-303931737 - 10220896278*lu1 + 584500067802*lu1^2 + 17880241722493*lu1^3 - 661528801411327*lu1^ 4 + 3606929880206372*lu1^5 + 39196162252203192*lu1^6 + 132848225921792893*lu1^7 + 632623357780464598*lu1^8 + 679109028965211192*lu1^9 - 1223514319526916640*lu1^10 - 3231183907357316560*lu1^11 - 1448192001367282400*lu1^12 + 880395122276880000*lu1^13)*f40[t] + 10*Sqrt[14]* (200781855 - 8036370486*lu1 + 3351373914*lu1^2 + 2002200812517*lu1^3 - 36245199597879*lu1^4 + 582281675765620* lu1^5 + 2567752437884904*lu1^6 - 57982595727341819*lu1^7 - 169586452922709722*lu1^8 + 313743748948988824*lu1^9 + 1663954108037279776*lu1^10 + 2044648054428398640*lu1^11 + 1083349148959156000*lu1^12 + 393966492932880000*lu1^13)* f44[t] - (-3 + 13*lu1 + 38*lu1^2)*(5005*(-16929 + 390321*lu1 + 7534896*lu1^2 - 127167026*lu1^3 + 3374686751*lu1^4 - 20678375715*lu1^5 - 760689757942*lu1^6 - 423898750268*lu1^7 + 3126043090632*lu1^8 + 4243704287200*lu1^9 + 5276116140800* lu1^10 + 5177356800000*lu1^11)*g20[t] + 7*Sqrt[5]*( -21722499 - 336521115*lu1 + 17571858120*lu1^2 + 425933836226* lu1^3 + 8935779763597*lu1^4 - 13972786999503*lu1^5 - 166713146985602*lu1^6 - 1339625093145064*lu1^7 - 1119871735633440*lu1^8 + 3860839436428160*lu1^9 + 5507178257370400*lu1^10 + 1679759513880000*lu1^11)*g40[t] + 5*Sqrt[14]*(-21372093 + 203517099*lu1 + 8775563688*lu1^2 + 128619839886*lu1^3 + 2851195810835*lu1^4 - 17817122015041* lu1^5 - 120162611246798*lu1^6 + 161667732368472*lu1^7 + 716932964952608*lu1^8 + 2713974976256320*lu1^9 + 4351885406284000*lu1^10 + 1597752633960000*lu1^11)*g44[t])) + 320581395*Sqrt[42]*f22[t]*g44n[t] - 4441942530*Sqrt[42]*lu1*f22[t]* g44n[t] - 122465541555*Sqrt[42]*lu1^2*f22[t]*g44n[t] - 1320217709760*Sqrt[42]*lu1^3*f22[t]*g44n[t] - 32740290469215* Sqrt[42]*lu1^4*f22[t]*g44n[t] + 477022327508230*Sqrt[42]*lu1^5* f22[t]*g44n[t] + 1186053441782955*Sqrt[42]*lu1^6*f22[t]*g44n[t] - 13620838899426740*Sqrt[42]*lu1^7*f22[t]*g44n[t] - 23076488007230060*Sqrt[42]*lu1^8*f22[t]*g44n[t] + 36607887228084400*Sqrt[42]*lu1^9*f22[t]*g44n[t] + 247347355703396320*Sqrt[42]*lu1^10*f22[t]*g44n[t] + 774561507387760800*Sqrt[42]*lu1^11*f22[t]*g44n[t] + 930712148401360000*Sqrt[42]*lu1^12*f22[t]*g44n[t] + 303573000452400000*Sqrt[42]*lu1^13*f22[t]*g44n[t] - 2311101315*Sqrt[14]*f42[t]*g44n[t] - 9143651385*Sqrt[14]*lu1*f42[t]* g44n[t] + 1845430722135*Sqrt[14]*lu1^2*f42[t]*g44n[t] + 32239771567875*Sqrt[14]*lu1^3*f42[t]*g44n[t] + 40437493346565*Sqrt[14]*lu1^4*f42[t]*g44n[t] - 3482196061166235*Sqrt[14]*lu1^5*f42[t]*g44n[t] + 2569848320311245*Sqrt[14]*lu1^6*f42[t]*g44n[t] - 17470979942488335*Sqrt[14]*lu1^7*f42[t]*g44n[t] + 207258637923278010*Sqrt[14]*lu1^8*f42[t]*g44n[t] + 1313540511068126160*Sqrt[14]*lu1^9*f42[t]*g44n[t] + 4795090265234880*Sqrt[14]*lu1^10*f42[t]*g44n[t] - 5599584477087246000*Sqrt[14]*lu1^11*f42[t]*g44n[t] - 5536285201062540000*Sqrt[14]*lu1^12*f42[t]*g44n[t] - 690229609740720000*Sqrt[14]*lu1^13*f42[t]*g44n[t]) + 2*(4740450*Sqrt[3]*(-696195 + 33458103*lu1 + 1534092615*lu1^2 - 73708649577*lu1^3 - 287053964451*lu1^4 + 30485944475993*lu1^5 - 291560494623819*lu1^6 - 460777692807187*lu1^7 + 42525698224401218*lu1^8 - 242430623682854116*lu1^9 - 1295463503504226616*lu1^10 + 5509358027595023184*lu1^11 + 11494083068115475808*lu1^12 + 5504007372671269440*lu1^13 + 5181732471712003200*lu1^14 + 3178834928571456000*lu1^15)* f22n[t]^3 - 409988872086210*f40[t]^2*f42n[t] + 17243567928979560*lu1*f40[t]^2*f42n[t] + 1161057766964268510*lu1^2* f40[t]^2*f42n[t] - 45325040021977651020*lu1^3*f40[t]^2*f42n[t] - 500295244746075578370*lu1^4*f40[t]^2*f42n[t] + 19743705895100456656800*lu1^5*f40[t]^2*f42n[t] - 11067194632288654218270*lu1^6*f40[t]^2*f42n[t] - 1670804559914436363126780*lu1^7*f40[t]^2*f42n[t] + 7051950106666407449479860*lu1^8*f40[t]^2*f42n[t] + 15160140435025864318796160*lu1^9*f40[t]^2*f42n[t] - 145515834550200454814627760*lu1^10*f40[t]^2*f42n[t] + 7387788008192727128536320*lu1^11*f40[t]^2*f42n[t] + 1644319172003350831154251200*lu1^12*f40[t]^2*f42n[t] + 3025276866980361903261696000*lu1^13*f40[t]^2*f42n[t] + 1881761367801355522189344000*lu1^14*f40[t]^2*f42n[t] + 375670226766782499995520000*lu1^15*f40[t]^2*f42n[t] - 394361512503876*f42[t]^2*f42n[t] + 5945638284996480*lu1*f42[t]^2* f42n[t] + 1414544828915429892*lu1^2*f42[t]^2*f42n[t] - 20291803183393986456*lu1^3*f42[t]^2*f42n[t] - 874413572495396284044* lu1^4*f42[t]^2*f42n[t] + 17716205009578279005648*lu1^5*f42[t]^2* f42n[t] - 67547820723246019640292*lu1^6*f42[t]^2*f42n[t] - 2403558387149291287738200*lu1^7*f42[t]^2*f42n[t] + 21154797486219407422633968*lu1^8*f42[t]^2*f42n[t] + 15191839595005359594213792*lu1^9*f42[t]^2*f42n[t] - 347666453064316745962514880*lu1^10*f42[t]^2*f42n[t] - 329012324298207867790414464*lu1^11*f42[t]^2*f42n[t] + 1625795404969841074199331072*lu1^12*f42[t]^2*f42n[t] + 3255470936516856822060264960*lu1^13*f42[t]^2*f42n[t] + 1975701586060773532052582400*lu1^14*f42[t]^2*f42n[t] + 371178563496719351546880000*lu1^15*f42[t]^2*f42n[t] - 394361512503876*f42n[t]^3 + 5945638284996480*lu1*f42n[t]^3 + 1414544828915429892*lu1^2*f42n[t]^3 - 20291803183393986456*lu1^3* f42n[t]^3 - 874413572495396284044*lu1^4*f42n[t]^3 + 17716205009578279005648*lu1^5*f42n[t]^3 - 67547820723246019640292* lu1^6*f42n[t]^3 - 2403558387149291287738200*lu1^7*f42n[t]^3 + 21154797486219407422633968*lu1^8*f42n[t]^3 + 15191839595005359594213792*lu1^9*f42n[t]^3 - 347666453064316745962514880*lu1^10*f42n[t]^3 - 329012324298207867790414464*lu1^11*f42n[t]^3 + 1625795404969841074199331072*lu1^12*f42n[t]^3 + 3255470936516856822060264960*lu1^13*f42n[t]^3 + 1975701586060773532052582400*lu1^14*f42n[t]^3 + 371178563496719351546880000*lu1^15*f42n[t]^3 + 26058136632768*Sqrt[70]*f40[t]*f42n[t]*f44[t] - 1747438626916080*Sqrt[70]*lu1*f40[t]*f42n[t]*f44[t] - 55565553368149416*Sqrt[70]*lu1^2*f40[t]*f42n[t]*f44[t] + 4307649603707835648*Sqrt[70]*lu1^3*f40[t]*f42n[t]*f44[t] + 7725117367148257512*Sqrt[70]*lu1^4*f40[t]*f42n[t]*f44[t] - 1332931027385059243344*Sqrt[70]*lu1^5*f40[t]*f42n[t]*f44[t] - 2780414170938900685944*Sqrt[70]*lu1^6*f40[t]*f42n[t]*f44[t] + 57431677510994781949920*Sqrt[70]*lu1^7*f40[t]*f42n[t]*f44[t] + 431687588135913827980056*Sqrt[70]*lu1^8*f40[t]*f42n[t]*f44[t] - 926231098472226676125216*Sqrt[70]*lu1^9*f40[t]*f42n[t]*f44[t] - 3467435752892806306117920*Sqrt[70]*lu1^10*f40[t]*f42n[t]*f44[t] - 21048238794771019717193088*Sqrt[70]*lu1^11*f40[t]*f42n[t]*f44[t] - 101806710553277178863826816*Sqrt[70]*lu1^12*f40[t]*f42n[t]*f44[t] - 171127518210848999048762880*Sqrt[70]*lu1^13*f40[t]*f42n[t]*f44[t] - 109458437727057398713843200*Sqrt[70]*lu1^14*f40[t]*f42n[t]*f44[t] - 23275217757357896843520000*Sqrt[70]*lu1^15*f40[t]*f42n[t]*f44[t] - 350931284782596*f42n[t]*f44[t]^2 + 3033240573469680*lu1*f42n[t]* f44[t]^2 + 1321935573301847532*lu1^2*f42n[t]*f44[t]^2 - 13112387177214260376*lu1^3*f42n[t]*f44[t]^2 - 861538376883482521524* lu1^4*f42n[t]*f44[t]^2 + 15494653297269846933408*lu1^5*f42n[t]* f44[t]^2 - 72181844341477520783532*lu1^6*f42n[t]*f44[t]^2 - 2307838924630966651155000*lu1^7*f42n[t]*f44[t]^2 + 21874276799779263802600728*lu1^8*f42n[t]*f44[t]^2 + 13648121097551648467338432*lu1^9*f42n[t]*f44[t]^2 - 353445512652471423139378080*lu1^10*f42n[t]*f44[t]^2 - 364092722289492900652402944*lu1^11*f42n[t]*f44[t]^2 + 1456117554047712442759619712*lu1^12*f42n[t]*f44[t]^2 + 2970258406165441823645660160*lu1^13*f42n[t]*f44[t]^2 + 1793270856515677867529510400*lu1^14*f42n[t]*f44[t]^2 + 332386533901122856807680000*lu1^15*f42n[t]*f44[t]^2 - 26058136632768*Sqrt[70]*f40[t]*f42[t]*f44n[t] + 1747438626916080*Sqrt[70]*lu1*f40[t]*f42[t]*f44n[t] + 55565553368149416*Sqrt[70]*lu1^2*f40[t]*f42[t]*f44n[t] - 4307649603707835648*Sqrt[70]*lu1^3*f40[t]*f42[t]*f44n[t] - 7725117367148257512*Sqrt[70]*lu1^4*f40[t]*f42[t]*f44n[t] + 1332931027385059243344*Sqrt[70]*lu1^5*f40[t]*f42[t]*f44n[t] + 2780414170938900685944*Sqrt[70]*lu1^6*f40[t]*f42[t]*f44n[t] - 57431677510994781949920*Sqrt[70]*lu1^7*f40[t]*f42[t]*f44n[t] - 431687588135913827980056*Sqrt[70]*lu1^8*f40[t]*f42[t]*f44n[t] + 926231098472226676125216*Sqrt[70]*lu1^9*f40[t]*f42[t]*f44n[t] + 3467435752892806306117920*Sqrt[70]*lu1^10*f40[t]*f42[t]*f44n[t] + 21048238794771019717193088*Sqrt[70]*lu1^11*f40[t]*f42[t]*f44n[t] + 101806710553277178863826816*Sqrt[70]*lu1^12*f40[t]*f42[t]*f44n[t] + 171127518210848999048762880*Sqrt[70]*lu1^13*f40[t]*f42[t]*f44n[t] + 109458437727057398713843200*Sqrt[70]*lu1^14*f40[t]*f42[t]*f44n[t] + 23275217757357896843520000*Sqrt[70]*lu1^15*f40[t]*f42[t]*f44n[t] - 350931284782596*f42n[t]*f44n[t]^2 + 3033240573469680*lu1*f42n[t]* f44n[t]^2 + 1321935573301847532*lu1^2*f42n[t]*f44n[t]^2 - 13112387177214260376*lu1^3*f42n[t]*f44n[t]^2 - 861538376883482521524*lu1^4*f42n[t]*f44n[t]^2 + 15494653297269846933408*lu1^5*f42n[t]*f44n[t]^2 - 72181844341477520783532*lu1^6*f42n[t]*f44n[t]^2 - 2307838924630966651155000*lu1^7*f42n[t]*f44n[t]^2 + 21874276799779263802600728*lu1^8*f42n[t]*f44n[t]^2 + 13648121097551648467338432*lu1^9*f42n[t]*f44n[t]^2 - 353445512652471423139378080*lu1^10*f42n[t]*f44n[t]^2 - 364092722289492900652402944*lu1^11*f42n[t]*f44n[t]^2 + 1456117554047712442759619712*lu1^12*f42n[t]*f44n[t]^2 + 2970258406165441823645660160*lu1^13*f42n[t]*f44n[t]^2 + 1793270856515677867529510400*lu1^14*f42n[t]*f44n[t]^2 + 332386533901122856807680000*lu1^15*f42n[t]*f44n[t]^2 + 12951949804794*Sqrt[5]*f40[t]*f42n[t]*g20[t] - 357563098706814*Sqrt[5]*lu1*f40[t]*f42n[t]*g20[t] - 36450988931461104*Sqrt[5]*lu1^2*f40[t]*f42n[t]*g20[t] + 562870072282445928*Sqrt[5]*lu1^3*f40[t]*f42n[t]*g20[t] + 23194472703836822388*Sqrt[5]*lu1^4*f40[t]*f42n[t]*g20[t] + 10263303785674960020*Sqrt[5]*lu1^5*f40[t]*f42n[t]*g20[t] - 4541464533751441247952*Sqrt[5]*lu1^6*f40[t]*f42n[t]*g20[t] - 58213121166433285900848*Sqrt[5]*lu1^7*f40[t]*f42n[t]*g20[t] + 65669786192735300241666*Sqrt[5]*lu1^8*f40[t]*f42n[t]*g20[t] + 5208917574047153090550426*Sqrt[5]*lu1^9*f40[t]*f42n[t]*g20[t] + 21745457235542348963679024*Sqrt[5]*lu1^10*f40[t]*f42n[t]*g20[t] + 22087478172352364925104952*Sqrt[5]*lu1^11*f40[t]*f42n[t]*g20[t] - 24939958676663322491078880*Sqrt[5]*lu1^12*f40[t]*f42n[t]*g20[t] - 60321605695724165334141600*Sqrt[5]*lu1^13*f40[t]*f42n[t]*g20[t] - 56683913153294881149696000*Sqrt[5]*lu1^14*f40[t]*f42n[t]*g20[t] - 33294030474283053274800000*Sqrt[5]*lu1^15*f40[t]*f42n[t]*g20[t] - 12048502732110*Sqrt[14]*f42n[t]*f44[t]*g20[t] + 301651193999610*Sqrt[14]*lu1*f42n[t]*f44[t]*g20[t] + 37041776412366960*Sqrt[14]*lu1^2*f42n[t]*f44[t]*g20[t] - 524402915252594040*Sqrt[14]*lu1^3*f42n[t]*f44[t]*g20[t] - 27966693200686360380*Sqrt[14]*lu1^4*f42n[t]*f44[t]*g20[t] + 93233847477445180740*Sqrt[14]*lu1^5*f42n[t]*f44[t]*g20[t] + 5456474233861275452880*Sqrt[14]*lu1^6*f42n[t]*f44[t]*g20[t] + 29964979079669575665360*Sqrt[14]*lu1^7*f42n[t]*f44[t]*g20[t] - 157483202057054553676230*Sqrt[14]*lu1^8*f42n[t]*f44[t]*g20[t] - 3169542415058073605845710*Sqrt[14]*lu1^9*f42n[t]*f44[t]*g20[t] - 14233949155106093641672080*Sqrt[14]*lu1^10*f42n[t]*f44[t]*g20[t] - 23939147487903293669872680*Sqrt[14]*lu1^11*f42n[t]*f44[t]*g20[t] + 13399540070256469990392480*Sqrt[14]*lu1^12*f42n[t]*f44[t]*g20[t] + 83049224526873423066924000*Sqrt[14]*lu1^13*f42n[t]*f44[t]*g20[t] + 62147991772582781135616000*Sqrt[14]*lu1^14*f42n[t]*f44[t]*g20[t] - 1360313330721946014960000*Sqrt[14]*lu1^15*f42n[t]*f44[t]*g20[t] + 12048502732110*Sqrt[14]*f42[t]*f44n[t]*g20[t] - 301651193999610*Sqrt[14]*lu1*f42[t]*f44n[t]*g20[t] - 37041776412366960*Sqrt[14]*lu1^2*f42[t]*f44n[t]*g20[t] + 524402915252594040*Sqrt[14]*lu1^3*f42[t]*f44n[t]*g20[t] + 27966693200686360380*Sqrt[14]*lu1^4*f42[t]*f44n[t]*g20[t] - 93233847477445180740*Sqrt[14]*lu1^5*f42[t]*f44n[t]*g20[t] - 5456474233861275452880*Sqrt[14]*lu1^6*f42[t]*f44n[t]*g20[t] - 29964979079669575665360*Sqrt[14]*lu1^7*f42[t]*f44n[t]*g20[t] + 157483202057054553676230*Sqrt[14]*lu1^8*f42[t]*f44n[t]*g20[t] + 3169542415058073605845710*Sqrt[14]*lu1^9*f42[t]*f44n[t]*g20[t] + 14233949155106093641672080*Sqrt[14]*lu1^10*f42[t]*f44n[t]*g20[t] + 23939147487903293669872680*Sqrt[14]*lu1^11*f42[t]*f44n[t]*g20[t] - 13399540070256469990392480*Sqrt[14]*lu1^12*f42[t]*f44n[t]*g20[t] - 83049224526873423066924000*Sqrt[14]*lu1^13*f42[t]*f44n[t]*g20[t] - 62147991772582781135616000*Sqrt[14]*lu1^14*f42[t]*f44n[t]*g20[t] + 1360313330721946014960000*Sqrt[14]*lu1^15*f42[t]*f44n[t]*g20[t] - 30466209726810*Sqrt[3]*f42[t]*f42n[t]*g22[t] + 756505179710280*Sqrt[3]*lu1*f42[t]*f42n[t]*g22[t] + 96960567618099900*Sqrt[3]*lu1^2*f42[t]*f42n[t]*g22[t] - 1425651006876679440*Sqrt[3]*lu1^3*f42[t]*f42n[t]*g22[t] - 78230441373823407240*Sqrt[3]*lu1^4*f42[t]*f42n[t]*g22[t] + 436662846087213431400*Sqrt[3]*lu1^5*f42[t]*f42n[t]*g22[t] + 16201998951724385745660*Sqrt[3]*lu1^6*f42[t]*f42n[t]*g22[t] + 31796500170550818743040*Sqrt[3]*lu1^7*f42[t]*f42n[t]*g22[t] - 747927609345986925771630*Sqrt[3]*lu1^8*f42[t]*f42n[t]*g22[t] - 6615841689122540930621280*Sqrt[3]*lu1^9*f42[t]*f42n[t]*g22[t] - 28719499671820959240799560*Sqrt[3]*lu1^10*f42[t]*f42n[t]*g22[t] - 61024056552304012254859200*Sqrt[3]*lu1^11*f42[t]*f42n[t]*g22[t] + 24640335989956691037427680*Sqrt[3]*lu1^12*f42[t]*f42n[t]*g22[t] + 229145526645047327213184000*Sqrt[3]*lu1^13*f42[t]*f42n[t]*g22[t] + 156404638566956501017296000*Sqrt[3]*lu1^14*f42[t]*f42n[t]*g22[t] - 37684510593331944101760000*Sqrt[3]*lu1^15*f42[t]*f42n[t]*g22[t] + 7272651335274*Sqrt[210]*f40[t]*f44n[t]*g22[t] - 209114696418264*Sqrt[210]*lu1*f40[t]*f44n[t]*g22[t] - 22286227312460124*Sqrt[210]*lu1^2*f40[t]*f44n[t]*g22[t] + 415312333401343248*Sqrt[210]*lu1^3*f40[t]*f44n[t]*g22[t] + 17524834475601148488*Sqrt[210]*lu1^4*f40[t]*f44n[t]*g22[t] - 146697999869202929160*Sqrt[210]*lu1^5*f40[t]*f44n[t]*g22[t] - 4374040783892000634972*Sqrt[210]*lu1^6*f40[t]*f44n[t]*g22[t] - 114684097975377647808*Sqrt[210]*lu1^7*f40[t]*f44n[t]*g22[t] + 341147789367558564984606*Sqrt[210]*lu1^8*f40[t]*f44n[t]*g22[t] + 2316132017995473203634576*Sqrt[210]*lu1^9*f40[t]*f44n[t]*g22[t] + 7763109442045027279462344*Sqrt[210]*lu1^10*f40[t]*f44n[t]*g22[t] + 11294092260946496170346112*Sqrt[210]*lu1^11*f40[t]*f44n[t]*g22[t] - 9381674455850603557329120*Sqrt[210]*lu1^12*f40[t]*f44n[t]*g22[t] - 40319458760151223346553600*Sqrt[210]*lu1^13*f40[t]*f44n[t]*g22[t] - 26644576402503038760144000*Sqrt[210]*lu1^14*f40[t]*f44n[t]*g22[t] + 309540126883052782080000*Sqrt[210]*lu1^15*f40[t]*f44n[t]*g22[t] - 1899209548665*Sqrt[3]*f40[t]^2*g22n[t] - 20034751046310*Sqrt[3]*lu1* f40[t]^2*g22n[t] + 6020725739461290*Sqrt[3]*lu1^2*f40[t]^2* g22n[t] + 164275974749034720*Sqrt[3]*lu1^3*f40[t]^2*g22n[t] - 2799069145474396080*Sqrt[3]*lu1^4*f40[t]^2*g22n[t] - 211355253877265355000*Sqrt[3]*lu1^5*f40[t]^2*g22n[t] - 1840978236627875832630*Sqrt[3]*lu1^6*f40[t]^2*g22n[t] + 49654921554510848656080*Sqrt[3]*lu1^7*f40[t]^2*g22n[t] + 590397469990472156334465*Sqrt[3]*lu1^8*f40[t]^2*g22n[t] + 507759353225226999343590*Sqrt[3]*lu1^9*f40[t]^2*g22n[t] - 4315474986730921204130940*Sqrt[3]*lu1^10*f40[t]^2*g22n[t] - 11663348494139249023922520*Sqrt[3]*lu1^11*f40[t]^2*g22n[t] - 1121619355865725576002000*Sqrt[3]*lu1^12*f40[t]^2*g22n[t] + 37616727311077646745156000*Sqrt[3]*lu1^13*f40[t]^2*g22n[t] + 36968545281380371659000000*Sqrt[3]*lu1^14*f40[t]^2*g22n[t] - 1493338567328944736400000*Sqrt[3]*lu1^15*f40[t]^2*g22n[t] + 11453015942550*Sqrt[3]*f42[t]^2*g22n[t] - 209769436520280*Sqrt[3]* lu1*f42[t]^2*g22n[t] - 40336247929510260*Sqrt[3]*lu1^2*f42[t]^2* g22n[t] + 400991789808202320*Sqrt[3]*lu1^3*f42[t]^2*g22n[t] + 36244651604150425800*Sqrt[3]*lu1^4*f42[t]^2*g22n[t] - 163937472821219249880*Sqrt[3]*lu1^5*f42[t]^2*g22n[t] - 6092597489374876427220*Sqrt[3]*lu1^6*f42[t]^2*g22n[t] - 7454734571328349774560*Sqrt[3]*lu1^7*f42[t]^2*g22n[t] + 59044337857344571294290*Sqrt[3]*lu1^8*f42[t]^2*g22n[t] - 92624064715636420948800*Sqrt[3]*lu1^9*f42[t]^2*g22n[t] + 4692877029144079140314040*Sqrt[3]*lu1^10*f42[t]^2*g22n[t] + 31381990858885386396593280*Sqrt[3]*lu1^11*f42[t]^2*g22n[t] + 4359735581700098991037920*Sqrt[3]*lu1^12*f42[t]^2*g22n[t] - 132187343698028368364160000*Sqrt[3]*lu1^13*f42[t]^2*g22n[t] - 85131527814066779778096000*Sqrt[3]*lu1^14*f42[t]^2*g22n[t] + 53939164465161022844160000*Sqrt[3]*lu1^15*f42[t]^2*g22n[t] - 19013193784260*Sqrt[3]*f42n[t]^2*g22n[t] + 546735743190000*Sqrt[3]* lu1*f42n[t]^2*g22n[t] + 56624319688589640*Sqrt[3]*lu1^2*f42n[t]^2* g22n[t] - 1024659217068477120*Sqrt[3]*lu1^3*f42n[t]^2*g22n[t] - 41985789769672981440*Sqrt[3]*lu1^4*f42n[t]^2*g22n[t] + 272725373265994181520*Sqrt[3]*lu1^5*f42n[t]^2*g22n[t] + 10109401462349509318440*Sqrt[3]*lu1^6*f42n[t]^2*g22n[t] + 24341765599222468968480*Sqrt[3]*lu1^7*f42n[t]^2*g22n[t] - 688883271488642354477340*Sqrt[3]*lu1^8*f42n[t]^2*g22n[t] - 6708465753838177351570080*Sqrt[3]*lu1^9*f42n[t]^2*g22n[t] - 24026622642676880100485520*Sqrt[3]*lu1^10*f42n[t]^2*g22n[t] - 29642065693418625858265920*Sqrt[3]*lu1^11*f42n[t]^2*g22n[t] + 29000071571656790028465600*Sqrt[3]*lu1^12*f42n[t]^2*g22n[t] + 96958182947018958849024000*Sqrt[3]*lu1^13*f42n[t]^2*g22n[t] + 71273110752889721239200000*Sqrt[3]*lu1^14*f42n[t]^2*g22n[t] + 16254653871829078742400000*Sqrt[3]*lu1^15*f42n[t]^2*g22n[t] - 7272651335274*Sqrt[210]*f40[t]*f44[t]*g22n[t] + 209114696418264*Sqrt[210]*lu1*f40[t]*f44[t]*g22n[t] + 22286227312460124*Sqrt[210]*lu1^2*f40[t]*f44[t]*g22n[t] - 415312333401343248*Sqrt[210]*lu1^3*f40[t]*f44[t]*g22n[t] - 17524834475601148488*Sqrt[210]*lu1^4*f40[t]*f44[t]*g22n[t] + 146697999869202929160*Sqrt[210]*lu1^5*f40[t]*f44[t]*g22n[t] + 4374040783892000634972*Sqrt[210]*lu1^6*f40[t]*f44[t]*g22n[t] + 114684097975377647808*Sqrt[210]*lu1^7*f40[t]*f44[t]*g22n[t] - 341147789367558564984606*Sqrt[210]*lu1^8*f40[t]*f44[t]*g22n[t] - 2316132017995473203634576*Sqrt[210]*lu1^9*f40[t]*f44[t]*g22n[t] - 7763109442045027279462344*Sqrt[210]*lu1^10*f40[t]*f44[t]*g22n[t] - 11294092260946496170346112*Sqrt[210]*lu1^11*f40[t]*f44[t]*g22n[t] + 9381674455850603557329120*Sqrt[210]*lu1^12*f40[t]*f44[t]*g22n[t] + 40319458760151223346553600*Sqrt[210]*lu1^13*f40[t]*f44[t]*g22n[t] + 26644576402503038760144000*Sqrt[210]*lu1^14*f40[t]*f44[t]*g22n[t] - 309540126883052782080000*Sqrt[210]*lu1^15*f40[t]*f44[t]*g22n[t] + 31657183305930*Sqrt[3]*f44[t]^2*g22n[t] - 940268694668940*Sqrt[3]* lu1*f44[t]^2*g22n[t] - 90371624583813300*Sqrt[3]*lu1^2*f44[t]^2* g22n[t] + 1672473257765462880*Sqrt[3]*lu1^3*f44[t]^2*g22n[t] + 61674524566895276400*Sqrt[3]*lu1^4*f44[t]^2*g22n[t] - 295255595399665293120*Sqrt[3]*lu1^5*f44[t]^2*g22n[t] - 14929752440697183796980*Sqrt[3]*lu1^6*f44[t]^2*g22n[t] - 76816989187233270524640*Sqrt[3]*lu1^7*f44[t]^2*g22n[t] + 944805337745406890535510*Sqrt[3]*lu1^8*f44[t]^2*g22n[t] + 13140174648669960984210300*Sqrt[3]*lu1^9*f44[t]^2*g22n[t] + 47801643923744988243515640*Sqrt[3]*lu1^10*f44[t]^2*g22n[t] + 46138369810339826801418000*Sqrt[3]*lu1^11*f44[t]^2*g22n[t] - 60158887293869829000288480*Sqrt[3]*lu1^12*f44[t]^2*g22n[t] - 130869288302737436618712000*Sqrt[3]*lu1^13*f44[t]^2*g22n[t] - 110437566483988503732336000*Sqrt[3]*lu1^14*f44[t]^2*g22n[t] - 67473191675546209556640000*Sqrt[3]*lu1^15*f44[t]^2*g22n[t] + 31657183305930*Sqrt[3]*f44n[t]^2*g22n[t] - 940268694668940*Sqrt[3]* lu1*f44n[t]^2*g22n[t] - 90371624583813300*Sqrt[3]*lu1^2*f44n[t]^2* g22n[t] + 1672473257765462880*Sqrt[3]*lu1^3*f44n[t]^2*g22n[t] + 61674524566895276400*Sqrt[3]*lu1^4*f44n[t]^2*g22n[t] - 295255595399665293120*Sqrt[3]*lu1^5*f44n[t]^2*g22n[t] - 14929752440697183796980*Sqrt[3]*lu1^6*f44n[t]^2*g22n[t] - 76816989187233270524640*Sqrt[3]*lu1^7*f44n[t]^2*g22n[t] + 944805337745406890535510*Sqrt[3]*lu1^8*f44n[t]^2*g22n[t] + 13140174648669960984210300*Sqrt[3]*lu1^9*f44n[t]^2*g22n[t] + 47801643923744988243515640*Sqrt[3]*lu1^10*f44n[t]^2*g22n[t] + 46138369810339826801418000*Sqrt[3]*lu1^11*f44n[t]^2*g22n[t] - 60158887293869829000288480*Sqrt[3]*lu1^12*f44n[t]^2*g22n[t] - 130869288302737436618712000*Sqrt[3]*lu1^13*f44n[t]^2*g22n[t] - 110437566483988503732336000*Sqrt[3]*lu1^14*f44n[t]^2*g22n[t] - 67473191675546209556640000*Sqrt[3]*lu1^15*f44n[t]^2*g22n[t] - 15072383254005*f40[t]*f42n[t]*g40[t] + 437329075881600*lu1*f40[t]* f42n[t]*g40[t] + 69879499968618585*lu1^2*f40[t]*f42n[t]*g40[t] - 288505040033098980*lu1^3*f40[t]*f42n[t]*g40[t] - 145080288627117427395*lu1^4*f40[t]*f42n[t]*g40[t] - 432169913291669303310*lu1^5*f40[t]*f42n[t]*g40[t] + 46784701950438393484515*lu1^6*f40[t]*f42n[t]*g40[t] + 168163237736916749245800*lu1^7*f40[t]*f42n[t]*g40[t] - 1764529854320129325213960*lu1^8*f40[t]*f42n[t]*g40[t] + 2757963362058865191197610*lu1^9*f40[t]*f42n[t]*g40[t] - 7542070369384319583349500*lu1^10*f40[t]*f42n[t]*g40[t] - 206110280766976159965541920*lu1^11*f40[t]*f42n[t]*g40[t] - 434658585897789421777187040*lu1^12*f40[t]*f42n[t]*g40[t] - 75673975025851832506716000*lu1^13*f40[t]*f42n[t]*g40[t] + 353780207707824577154664000*lu1^14*f40[t]*f42n[t]*g40[t] + 168087534871809904354080000*lu1^15*f40[t]*f42n[t]*g40[t] + 447882826815*Sqrt[70]*f42n[t]*f44[t]*g40[t] - 57936301538598* Sqrt[70]*lu1*f42n[t]*f44[t]*g40[t] - 4552731884580867*Sqrt[70]* lu1^2*f42n[t]*f44[t]*g40[t] + 147321115815177018*Sqrt[70]*lu1^3* f42n[t]*f44[t]*g40[t] + 12166497846457685469*Sqrt[70]*lu1^4* f42n[t]*f44[t]*g40[t] - 6159163674636294336*Sqrt[70]*lu1^5*f42n[t]* f44[t]*g40[t] - 2411078338284870638025*Sqrt[70]*lu1^6*f42n[t]* f44[t]*g40[t] - 14211106275141770251446*Sqrt[70]*lu1^7*f42n[t]* f44[t]*g40[t] + 49605021070552286491356*Sqrt[70]*lu1^8*f42n[t]* f44[t]*g40[t] + 557049212985341797370658*Sqrt[70]*lu1^9*f42n[t]* f44[t]*g40[t] + 1003560173185721892981588*Sqrt[70]*lu1^10*f42n[t]* f44[t]*g40[t] + 447948282586245628309632*Sqrt[70]*lu1^11*f42n[t]* f44[t]*g40[t] + 3500508947964856269260256*Sqrt[70]*lu1^12*f42n[t]* f44[t]*g40[t] + 9507902331440679869832480*Sqrt[70]*lu1^13*f42n[t]* f44[t]*g40[t] + 4771420817226463606651200*Sqrt[70]*lu1^14*f42n[t]* f44[t]*g40[t] - 2405494711997530201440000*Sqrt[70]*lu1^15*f42n[t]* f44[t]*g40[t] - 447882826815*Sqrt[70]*f42[t]*f44n[t]*g40[t] + 57936301538598*Sqrt[70]*lu1*f42[t]*f44n[t]*g40[t] + 4552731884580867*Sqrt[70]*lu1^2*f42[t]*f44n[t]*g40[t] - 147321115815177018*Sqrt[70]*lu1^3*f42[t]*f44n[t]*g40[t] - 12166497846457685469*Sqrt[70]*lu1^4*f42[t]*f44n[t]*g40[t] + 6159163674636294336*Sqrt[70]*lu1^5*f42[t]*f44n[t]*g40[t] + 2411078338284870638025*Sqrt[70]*lu1^6*f42[t]*f44n[t]*g40[t] + 14211106275141770251446*Sqrt[70]*lu1^7*f42[t]*f44n[t]*g40[t] - 49605021070552286491356*Sqrt[70]*lu1^8*f42[t]*f44n[t]*g40[t] - 557049212985341797370658*Sqrt[70]*lu1^9*f42[t]*f44n[t]*g40[t] - 1003560173185721892981588*Sqrt[70]*lu1^10*f42[t]*f44n[t]*g40[t] - 447948282586245628309632*Sqrt[70]*lu1^11*f42[t]*f44n[t]*g40[t] - 3500508947964856269260256*Sqrt[70]*lu1^12*f42[t]*f44n[t]*g40[t] - 9507902331440679869832480*Sqrt[70]*lu1^13*f42[t]*f44n[t]*g40[t] - 4771420817226463606651200*Sqrt[70]*lu1^14*f42[t]*f44n[t]*g40[t] + 2405494711997530201440000*Sqrt[70]*lu1^15*f42[t]*f44n[t]*g40[t] - 42818937973470*f42[t]*f42n[t]*g42[t] - 1141604327231424*lu1*f42[t]* f42n[t]*g42[t] + 111446418328282494*lu1^2*f42[t]*f42n[t]*g42[t] + 5391584363727880344*lu1^3*f42[t]*f42n[t]*g42[t] - 12817522360368708858*lu1^4*f42[t]*f42n[t]*g42[t] - 3039046569925903338228*lu1^5*f42[t]*f42n[t]*g42[t] + 3826208403369656178570*lu1^6*f42[t]*f42n[t]*g42[t] - 40344362012616855385248*lu1^7*f42[t]*f42n[t]*g42[t] - 1289143651936882465372392*lu1^8*f42[t]*f42n[t]*g42[t] + 28531591536644763299506044*lu1^9*f42[t]*f42n[t]*g42[t] + 7449247643716921555414584*lu1^10*f42[t]*f42n[t]*g42[t] - 512908699355024773347428544*lu1^11*f42[t]*f42n[t]*g42[t] - 947309547418546031084855232*lu1^12*f42[t]*f42n[t]*g42[t] + 201432970330919984130356160*lu1^13*f42[t]*f42n[t]*g42[t] + 1192867560777274182543254400*lu1^14*f42[t]*f42n[t]*g42[t] + 470761484488676959064256000*lu1^15*f42[t]*f42n[t]*g42[t] + 2308901914710*Sqrt[70]*f40[t]*f44n[t]*g42[t] + 3434246843580*Sqrt[70]*lu1*f40[t]*f44n[t]*g42[t] - 6000218064146430*Sqrt[70]*lu1^2*f40[t]*f44n[t]*g42[t] - 114259268410627860*Sqrt[70]*lu1^3*f40[t]*f44n[t]*g42[t] - 1064688279658524270*Sqrt[70]*lu1^4*f40[t]*f44n[t]*g42[t] + 144738756545493446280*Sqrt[70]*lu1^5*f40[t]*f44n[t]*g42[t] + 4451271833200518233190*Sqrt[70]*lu1^6*f40[t]*f44n[t]*g42[t] + 5930402800591925204220*Sqrt[70]*lu1^7*f40[t]*f44n[t]*g42[t] - 148623747360160625613720*Sqrt[70]*lu1^8*f40[t]*f44n[t]*g42[t] - 166939178935078750928940*Sqrt[70]*lu1^9*f40[t]*f44n[t]*g42[t] - 1040665732525676889188280*Sqrt[70]*lu1^10*f40[t]*f44n[t]*g42[t] - 9991591634923392914835840*Sqrt[70]*lu1^11*f40[t]*f44n[t]*g42[t] - 16384999249933325984946240*Sqrt[70]*lu1^12*f40[t]*f44n[t]*g42[t] + 5519948204097201538209600*Sqrt[70]*lu1^13*f40[t]*f44n[t]*g42[t] + 18049997971772779883472000*Sqrt[70]*lu1^14*f40[t]*f44n[t]*g42[t] + 1775533600303484535360000*Sqrt[70]*lu1^15*f40[t]*f44n[t]*g42[t] - 45477652827240*f40[t]^2*g42n[t] + 567552405451185*lu1*f40[t]^2* g42n[t] + 137819537815104720*lu1^2*f40[t]^2*g42n[t] + 469091618058448125*lu1^3*f40[t]^2*g42n[t] - 112883765988734870490* lu1^4*f40[t]^2*g42n[t] - 1408166343761117554635*lu1^5*f40[t]^2* g42n[t] + 16604015434630896461320*lu1^6*f40[t]^2*g42n[t] + 295475663890023850188795*lu1^7*f40[t]^2*g42n[t] + 316613633546396107282150*lu1^8*f40[t]^2*g42n[t] - 7073532843373515985552430*lu1^9*f40[t]^2*g42n[t] - 34488292302440075125709660*lu1^10*f40[t]^2*g42n[t] - 76580233662232015338234800*lu1^11*f40[t]^2*g42n[t] - 84500782516733823095927040*lu1^12*f40[t]^2*g42n[t] + 4586222150932675231588000*lu1^13*f40[t]^2*g42n[t] + 106131830133210816523176000*lu1^14*f40[t]^2*g42n[t] + 66873002675641157429280000*lu1^15*f40[t]^2*g42n[t] - 101362359786660*f42[t]^2*g42n[t] + 1202688741190986*lu1*f42[t]^2* g42n[t] + 253232644057247484*lu1^2*f42[t]^2*g42n[t] + 1648313292992188914*lu1^3*f42[t]^2*g42n[t] - 88281748652628931848* lu1^4*f42[t]^2*g42n[t] - 3206891647794182281878*lu1^5*f42[t]^2* g42n[t] - 28514772626145314937820*lu1^6*f42[t]^2*g42n[t] + 406529447868865447704942*lu1^7*f42[t]^2*g42n[t] + 2441263105576747606583828*lu1^8*f42[t]^2*g42n[t] - 16239116285813279908934836*lu1^9*f42[t]^2*g42n[t] - 41729467032046073279392456*lu1^10*f42[t]^2*g42n[t] + 125356644431507864206975136*lu1^11*f42[t]^2*g42n[t] + 290962423971929170555250688*lu1^12*f42[t]^2*g42n[t] - 123176153920617048056841280*lu1^13*f42[t]^2*g42n[t] - 411993705271427655467011200*lu1^14*f42[t]^2*g42n[t] - 108420285457317736155456000*lu1^15*f42[t]^2*g42n[t] - 144181297760130*f42n[t]^2*g42n[t] + 61084413959562*lu1*f42n[t]^2* g42n[t] + 364679062385529978*lu1^2*f42n[t]^2*g42n[t] + 7039897656720069258*lu1^3*f42n[t]^2*g42n[t] - 101099271012997640706* lu1^4*f42n[t]^2*g42n[t] - 6245938217720085620106*lu1^5*f42n[t]^2* g42n[t] - 24688564222775658759250*lu1^6*f42n[t]^2*g42n[t] + 366185085856248592319694*lu1^7*f42n[t]^2*g42n[t] + 1152119453639865141211436*lu1^8*f42n[t]^2*g42n[t] + 12292475250831483390571208*lu1^9*f42n[t]^2*g42n[t] - 34280219388329151723977872*lu1^10*f42n[t]^2*g42n[t] - 387552054923516909140453408*lu1^11*f42n[t]^2*g42n[t] - 656347123446616860529604544*lu1^12*f42n[t]^2*g42n[t] + 78256816410302936073514880*lu1^13*f42n[t]^2*g42n[t] + 780873855505846527076243200*lu1^14*f42n[t]^2*g42n[t] + 362341199031359222908800000*lu1^15*f42n[t]^2*g42n[t] - 2308901914710*Sqrt[70]*f40[t]*f44[t]*g42n[t] - 3434246843580*Sqrt[70]*lu1*f40[t]*f44[t]*g42n[t] + 6000218064146430*Sqrt[70]*lu1^2*f40[t]*f44[t]*g42n[t] + 114259268410627860*Sqrt[70]*lu1^3*f40[t]*f44[t]*g42n[t] + 1064688279658524270*Sqrt[70]*lu1^4*f40[t]*f44[t]*g42n[t] - 144738756545493446280*Sqrt[70]*lu1^5*f40[t]*f44[t]*g42n[t] - 4451271833200518233190*Sqrt[70]*lu1^6*f40[t]*f44[t]*g42n[t] - 5930402800591925204220*Sqrt[70]*lu1^7*f40[t]*f44[t]*g42n[t] + 148623747360160625613720*Sqrt[70]*lu1^8*f40[t]*f44[t]*g42n[t] + 166939178935078750928940*Sqrt[70]*lu1^9*f40[t]*f44[t]*g42n[t] + 1040665732525676889188280*Sqrt[70]*lu1^10*f40[t]*f44[t]*g42n[t] + 9991591634923392914835840*Sqrt[70]*lu1^11*f40[t]*f44[t]*g42n[t] + 16384999249933325984946240*Sqrt[70]*lu1^12*f40[t]*f44[t]*g42n[t] - 5519948204097201538209600*Sqrt[70]*lu1^13*f40[t]*f44[t]*g42n[t] - 18049997971772779883472000*Sqrt[70]*lu1^14*f40[t]*f44[t]*g42n[t] - 1775533600303484535360000*Sqrt[70]*lu1^15*f40[t]*f44[t]*g42n[t] - 103109836209660*f44[t]^2*g42n[t] + 491933117637738*lu1*f44[t]^2* g42n[t] + 271078201331754012*lu1^2*f44[t]^2*g42n[t] + 3347509773156722082*lu1^3*f44[t]^2*g42n[t] - 88183840897758584664* lu1^4*f44[t]^2*g42n[t] - 3943447981385307521574*lu1^5*f44[t]^2* g42n[t] - 25152798182580627593020*lu1^6*f44[t]^2*g42n[t] + 395876573640861366197886*lu1^7*f44[t]^2*g42n[t] + 2252254972486527858306044*lu1^8*f44[t]^2*g42n[t] - 6980986769379475292338948*lu1^9*f44[t]^2*g42n[t] - 50640394052377486205568328*lu1^10*f44[t]^2*g42n[t] - 75110680320772529265704032*lu1^11*f44[t]^2*g42n[t] - 11506141755664788763472256*lu1^12*f44[t]^2*g42n[t] + 70110449007186457794518720*lu1^13*f44[t]^2*g42n[t] + 130792163857170192371836800*lu1^14*f44[t]^2*g42n[t] + 95066815354416439450560000*lu1^15*f44[t]^2*g42n[t] - 103109836209660*f44n[t]^2*g42n[t] + 491933117637738*lu1*f44n[t]^2* g42n[t] + 271078201331754012*lu1^2*f44n[t]^2*g42n[t] + 3347509773156722082*lu1^3*f44n[t]^2*g42n[t] - 88183840897758584664* lu1^4*f44n[t]^2*g42n[t] - 3943447981385307521574*lu1^5*f44n[t]^2* g42n[t] - 25152798182580627593020*lu1^6*f44n[t]^2*g42n[t] + 395876573640861366197886*lu1^7*f44n[t]^2*g42n[t] + 2252254972486527858306044*lu1^8*f44n[t]^2*g42n[t] - 6980986769379475292338948*lu1^9*f44n[t]^2*g42n[t] - 50640394052377486205568328*lu1^10*f44n[t]^2*g42n[t] - 75110680320772529265704032*lu1^11*f44n[t]^2*g42n[t] - 11506141755664788763472256*lu1^12*f44n[t]^2*g42n[t] + 70110449007186457794518720*lu1^13*f44n[t]^2*g42n[t] + 130792163857170192371836800*lu1^14*f44n[t]^2*g42n[t] + 95066815354416439450560000*lu1^15*f44n[t]^2*g42n[t] - 1105*(-9 + 105*lu1 + 20612*lu1^2 + 13692*lu1^3)*f22n[t]^2* (12*(271264419 - 19067130831*lu1 + 324528838438*lu1^2 + 4129869501710*lu1^3 - 185620118126765*lu1^4 + 1890368853476013* lu1^5 + 7259037716915040*lu1^6 - 75266603096354388*lu1^7 - 24278069326361692*lu1^8 + 215229045221154904*lu1^9 + 917613675169877072*lu1^10 + 2316802181126165280*lu1^11 + 1719099075108240000*lu1^12)*f42n[t] + 429*Sqrt[3]* (464211 - 12114270*lu1 - 319762191*lu1^2 + 6687562300*lu1^3 + 21442789421*lu1^4 - 295482024110*lu1^5 + 1096095387159*lu1^6 - 38174591322000*lu1^7 - 109732827099864*lu1^8 + 878399323455680*lu1^9 + 1848672657938800*lu1^10 + 1294640426192000*lu1^11 + 699240363360000*lu1^12)*g22n[t] - 2*(667456281 - 6436154592*lu1 - 256760888643*lu1^2 - 5214367646148*lu1^3 - 115694685246733*lu1^4 + 1350850939610376* lu1^5 + 3171717546522887*lu1^6 - 22976575346588428*lu1^7 - 73126157164999792*lu1^8 - 30357954108367864*lu1^9 + 273297670645517664*lu1^10 + 684632510905456160*lu1^11 + 465092898396504000*lu1^12)*g42n[t]) + 1105*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]^2* (4290*Sqrt[3]*(232065 - 8290566*lu1 - 84042189*lu1^2 + 4613957916*lu1^3 - 39194139517*lu1^4 - 116323915062*lu1^5 + 6311143544381*lu1^6 - 34021172855056*lu1^7 - 192797638401988* lu1^8 + 796053898755728*lu1^9 + 1674955086059568*lu1^10 + 800100490298240*lu1^11 + 754389729787200*lu1^12 + 464334637536000*lu1^13)*f22n[t] - 12*(-201630276 - 7621443567*lu1 + 697413249960*lu1^2 - 4928804034337*lu1^3 - 96648067109558*lu1^4 + 671933192915507*lu1^5 - 3584317449981636*lu1^6 + 65052282390392313*lu1^7 + 493322624350774110*lu1^8 - 1422343476689275004*lu1^9 - 5717624871935163976*lu1^10 - 1503817447182498656*lu1^11 + 4240134625194528960*lu1^12 + 891988456615200000*lu1^13)* f42n[t] - 7*(-3 + 13*lu1 + 38*lu1^2)*(429*Sqrt[3]*(-16929 + 390321*lu1 + 7534896*lu1^2 - 127167026*lu1^3 + 3374686751* lu1^4 - 20678375715*lu1^5 - 760689757942*lu1^6 - 423898750268*lu1^7 + 3126043090632*lu1^8 + 4243704287200* lu1^9 + 5276116140800*lu1^10 + 5177356800000*lu1^11)*g22n[ t] + 4*(9695538 - 165330423*lu1 + 1460025522*lu1^2 - 75205934187*lu1^3 - 2325728934626*lu1^4 + 8941729125139* lu1^5 + 81472974704978*lu1^6 - 176926339608909*lu1^7 - 374509238993348*lu1^8 + 1989969512526956*lu1^9 + 3745013815967840*lu1^10 + 1122257733576000*lu1^11)*g42n[ t])) + 447882826815*Sqrt[70]*f40[t]*f42n[t]*g44[t] - 57936301538598*Sqrt[70]*lu1*f40[t]*f42n[t]*g44[t] - 4552731884580867*Sqrt[70]*lu1^2*f40[t]*f42n[t]*g44[t] + 147321115815177018*Sqrt[70]*lu1^3*f40[t]*f42n[t]*g44[t] + 12166497846457685469*Sqrt[70]*lu1^4*f40[t]*f42n[t]*g44[t] - 6159163674636294336*Sqrt[70]*lu1^5*f40[t]*f42n[t]*g44[t] - 2411078338284870638025*Sqrt[70]*lu1^6*f40[t]*f42n[t]*g44[t] - 14211106275141770251446*Sqrt[70]*lu1^7*f40[t]*f42n[t]*g44[t] + 49605021070552286491356*Sqrt[70]*lu1^8*f40[t]*f42n[t]*g44[t] + 557049212985341797370658*Sqrt[70]*lu1^9*f40[t]*f42n[t]*g44[t] + 1003560173185721892981588*Sqrt[70]*lu1^10*f40[t]*f42n[t]*g44[t] + 447948282586245628309632*Sqrt[70]*lu1^11*f40[t]*f42n[t]*g44[t] + 3500508947964856269260256*Sqrt[70]*lu1^12*f40[t]*f42n[t]*g44[t] + 9507902331440679869832480*Sqrt[70]*lu1^13*f40[t]*f42n[t]*g44[t] + 4771420817226463606651200*Sqrt[70]*lu1^14*f40[t]*f42n[t]*g44[t] - 2405494711997530201440000*Sqrt[70]*lu1^15*f40[t]*f42n[t]*g44[t] - 43426688652270*f42n[t]*f44[t]*g44[t] - 629693453546136*lu1*f42n[t]* f44[t]*g44[t] + 88425451545417126*lu1^2*f42n[t]*f44[t]*g44[t] + 4373890383631650336*lu1^3*f42n[t]*f44[t]*g44[t] + 29414043172384102638*lu1^4*f42n[t]*f44[t]*g44[t] - 2564252042826054823452*lu1^5*f42n[t]*f44[t]*g44[t] - 14991480223145463681630*lu1^6*f42n[t]*f44[t]*g44[t] - 86945846702738550056712*lu1^7*f42n[t]*f44[t]*g44[t] - 687079203011220719433888*lu1^8*f42n[t]*f44[t]*g44[t] + 21408524695053895925693916*lu1^9*f42n[t]*f44[t]*g44[t] + 21439818128876868940176216*lu1^10*f42n[t]*f44[t]*g44[t] - 294295560935917906255657536*lu1^11*f42n[t]*f44[t]*g44[t] - 605864286447847007560354368*lu1^12*f42n[t]*f44[t]*g44[t] + 30639461501090075281421760*lu1^13*f42n[t]*f44[t]*g44[t] + 635903097753143246920790400*lu1^14*f42n[t]*f44[t]*g44[t] + 256296845303111875227840000*lu1^15*f42n[t]*f44[t]*g44[t] - 27042173534250*f42[t]*f44n[t]*g44[t] - 792373804417692*lu1*f42[t]* f44n[t]*g44[t] + 135290487087434322*lu1^2*f42[t]*f44n[t]*g44[t] + 2642827795042083012*lu1^3*f42[t]*f44n[t]*g44[t] - 129173653846178213454*lu1^4*f42[t]*f44n[t]*g44[t] - 2561218864566986713824*lu1^5*f42[t]*f44n[t]*g44[t] - 1560671277912903944970*lu1^6*f42[t]*f44n[t]*g44[t] + 92310233590863164868516*lu1^7*f42[t]*f44n[t]*g44[t] + 248783473901252928118824*lu1^8*f42[t]*f44n[t]*g44[t] + 13538548050514365537089172*lu1^9*f42[t]*f44n[t]*g44[t] - 20870210143228925525970168*lu1^10*f42[t]*f44n[t]*g44[t] - 326078663627817760747514112*lu1^11*f42[t]*f44n[t]*g44[t] - 513529572199323015142825536*lu1^12*f42[t]*f44n[t]*g44[t] + 234657393799835027538941760*lu1^13*f42[t]*f44n[t]*g44[t] + 887095651887780202401206400*lu1^14*f42[t]*f44n[t]*g44[t] + 420032206223679150545472000*lu1^15*f42[t]*f44n[t]*g44[t] - 447882826815*Sqrt[70]*f40[t]*f42[t]*g44n[t] + 57936301538598* Sqrt[70]*lu1*f40[t]*f42[t]*g44n[t] + 4552731884580867*Sqrt[70]* lu1^2*f40[t]*f42[t]*g44n[t] - 147321115815177018*Sqrt[70]*lu1^3* f40[t]*f42[t]*g44n[t] - 12166497846457685469*Sqrt[70]*lu1^4*f40[t]* f42[t]*g44n[t] + 6159163674636294336*Sqrt[70]*lu1^5*f40[t]*f42[t]* g44n[t] + 2411078338284870638025*Sqrt[70]*lu1^6*f40[t]*f42[t]* g44n[t] + 14211106275141770251446*Sqrt[70]*lu1^7*f40[t]*f42[t]* g44n[t] - 49605021070552286491356*Sqrt[70]*lu1^8*f40[t]*f42[t]* g44n[t] - 557049212985341797370658*Sqrt[70]*lu1^9*f40[t]*f42[t]* g44n[t] - 1003560173185721892981588*Sqrt[70]*lu1^10*f40[t]*f42[t]* g44n[t] - 447948282586245628309632*Sqrt[70]*lu1^11*f40[t]*f42[t]* g44n[t] - 3500508947964856269260256*Sqrt[70]*lu1^12*f40[t]*f42[t]* g44n[t] - 9507902331440679869832480*Sqrt[70]*lu1^13*f40[t]*f42[t]* g44n[t] - 4771420817226463606651200*Sqrt[70]*lu1^14*f40[t]*f42[t]* g44n[t] + 2405494711997530201440000*Sqrt[70]*lu1^15*f40[t]*f42[t]* g44n[t] + 27042173534250*f42[t]*f44[t]*g44n[t] + 792373804417692*lu1*f42[t]*f44[t]*g44n[t] - 135290487087434322* lu1^2*f42[t]*f44[t]*g44n[t] - 2642827795042083012*lu1^3*f42[t]* f44[t]*g44n[t] + 129173653846178213454*lu1^4*f42[t]*f44[t]* g44n[t] + 2561218864566986713824*lu1^5*f42[t]*f44[t]*g44n[t] + 1560671277912903944970*lu1^6*f42[t]*f44[t]*g44n[t] - 92310233590863164868516*lu1^7*f42[t]*f44[t]*g44n[t] - 248783473901252928118824*lu1^8*f42[t]*f44[t]*g44n[t] - 13538548050514365537089172*lu1^9*f42[t]*f44[t]*g44n[t] + 20870210143228925525970168*lu1^10*f42[t]*f44[t]*g44n[t] + 326078663627817760747514112*lu1^11*f42[t]*f44[t]*g44n[t] + 513529572199323015142825536*lu1^12*f42[t]*f44[t]*g44n[t] - 234657393799835027538941760*lu1^13*f42[t]*f44[t]*g44n[t] - 887095651887780202401206400*lu1^14*f42[t]*f44[t]*g44n[t] - 420032206223679150545472000*lu1^15*f42[t]*f44[t]*g44n[t] - 43426688652270*f42n[t]*f44n[t]*g44n[t] - 629693453546136*lu1* f42n[t]*f44n[t]*g44n[t] + 88425451545417126*lu1^2*f42n[t]*f44n[t]* g44n[t] + 4373890383631650336*lu1^3*f42n[t]*f44n[t]*g44n[t] + 29414043172384102638*lu1^4*f42n[t]*f44n[t]*g44n[t] - 2564252042826054823452*lu1^5*f42n[t]*f44n[t]*g44n[t] - 14991480223145463681630*lu1^6*f42n[t]*f44n[t]*g44n[t] - 86945846702738550056712*lu1^7*f42n[t]*f44n[t]*g44n[t] - 687079203011220719433888*lu1^8*f42n[t]*f44n[t]*g44n[t] + 21408524695053895925693916*lu1^9*f42n[t]*f44n[t]*g44n[t] + 21439818128876868940176216*lu1^10*f42n[t]*f44n[t]*g44n[t] - 294295560935917906255657536*lu1^11*f42n[t]*f44n[t]*g44n[t] - 605864286447847007560354368*lu1^12*f42n[t]*f44n[t]*g44n[t] + 30639461501090075281421760*lu1^13*f42n[t]*f44n[t]*g44n[t] + 635903097753143246920790400*lu1^14*f42n[t]*f44n[t]*g44n[t] + 256296845303111875227840000*lu1^15*f42n[t]*f44n[t]*g44n[t] - 663*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]*(-628811100*Sqrt[210]*f40[t]* f44n[t] + 108741301848*Sqrt[210]*lu1*f40[t]*f44n[t] - 3056141194344*Sqrt[210]*lu1^2*f40[t]*f44n[t] + 15243753085500*Sqrt[210]*lu1^3*f40[t]*f44n[t] + 455263862599004*Sqrt[210]*lu1^4*f40[t]*f44n[t] - 15590644726727792*Sqrt[210]*lu1^5*f40[t]*f44n[t] + 27407691576650528*Sqrt[210]*lu1^6*f40[t]*f44n[t] + 962731544587649468*Sqrt[210]*lu1^7*f40[t]*f44n[t] + 2284063626821420168*Sqrt[210]*lu1^8*f40[t]*f44n[t] + 2721564661375245472*Sqrt[210]*lu1^9*f40[t]*f44n[t] - 2673031245906634112*Sqrt[210]*lu1^10*f40[t]*f44n[t] - 17249237255698504640*Sqrt[210]*lu1^11*f40[t]*f44n[t] - 17013609271459830400*Sqrt[210]*lu1^12*f40[t]*f44n[t] - 2404897932234560000*Sqrt[210]*lu1^13*f40[t]*f44n[t] - 895323780*Sqrt[42]*f44n[t]*g20[t] + 15221127555*Sqrt[42]*lu1* f44n[t]*g20[t] + 646106109705*Sqrt[42]*lu1^2*f44n[t]*g20[t] - 2356253746470*Sqrt[42]*lu1^3*f44n[t]*g20[t] - 64600142619690* Sqrt[42]*lu1^4*f44n[t]*g20[t] - 1595812871701225*Sqrt[42]*lu1^5* f44n[t]*g20[t] - 8168653622245155*Sqrt[42]*lu1^6*f44n[t]* g20[t] + 147440544181286540*Sqrt[42]*lu1^7*f44n[t]*g20[t] + 796030321727071400*Sqrt[42]*lu1^8*f44n[t]*g20[t] + 841569002405177840*Sqrt[42]*lu1^9*f44n[t]*g20[t] - 1405751289589715920*Sqrt[42]*lu1^10*f44n[t]*g20[t] - 4019616120821520000*Sqrt[42]*lu1^11*f44n[t]*g20[t] - 3789486302917648000*Sqrt[42]*lu1^12*f44n[t]*g20[t] - 1495164986968800000*Sqrt[42]*lu1^13*f44n[t]*g20[t] + 3680701830*f42n[t]*g22[t] + 1656524880*lu1*f42n[t]*g22[t] - 5624010845670*lu1^2*f42n[t]*g22[t] - 1550758836640*lu1^3*f42n[t]* g22[t] + 1537486113309950*lu1^4*f42n[t]*g22[t] + 10846856975081080*lu1^5*f42n[t]*g22[t] - 142076308677064450*lu1^6* f42n[t]*g22[t] - 1755528295978521920*lu1^7*f42n[t]*g22[t] - 772817789339725420*lu1^8*f42n[t]*g22[t] + 24265453080878527480* lu1^9*f42n[t]*g22[t] + 42683829388920144080*lu1^10*f42n[t]* g22[t] - 20136798664757208800*lu1^11*f42n[t]*g22[t] - 59672750044915808000*lu1^12*f42n[t]*g22[t] - 12905758691689920000* lu1^13*f42n[t]*g22[t] + 1033208055*Sqrt[210]*f44n[t]*g40[t] - 940660587*Sqrt[210]*lu1*f44n[t]*g40[t] - 376131605409*Sqrt[210]* lu1^2*f44n[t]*g40[t] - 13538037482715*Sqrt[210]*lu1^3*f44n[t]* g40[t] - 131159768764871*Sqrt[210]*lu1^4*f44n[t]*g40[t] + 1718835362988163*Sqrt[210]*lu1^5*f44n[t]*g40[t] + 7006461931461173*Sqrt[210]*lu1^6*f44n[t]*g40[t] - 26182186442937017*Sqrt[210]*lu1^7*f44n[t]*g40[t] - 177804374878789252*Sqrt[210]*lu1^8*f44n[t]*g40[t] - 170573980028485748*Sqrt[210]*lu1^9*f44n[t]*g40[t] + 662565668054024768*Sqrt[210]*lu1^10*f44n[t]*g40[t] + 1649295154302896560*Sqrt[210]*lu1^11*f44n[t]*g40[t] + 1261059853352921600*Sqrt[210]*lu1^12*f44n[t]*g40[t] + 343324473143960000*Sqrt[210]*lu1^13*f44n[t]*g40[t] - 4128013530*Sqrt[3]*f42n[t]*g42[t] - 30630786660*Sqrt[3]*lu1* f42n[t]*g42[t] + 4811361576840*Sqrt[3]*lu1^2*f42n[t]*g42[t] + 60866009996490*Sqrt[3]*lu1^3*f42n[t]*g42[t] - 161035713773970* Sqrt[3]*lu1^4*f42n[t]*g42[t] - 4916063503068480*Sqrt[3]*lu1^5* f42n[t]*g42[t] + 21482537652233180*Sqrt[3]*lu1^6*f42n[t]* g42[t] - 242132518383265670*Sqrt[3]*lu1^7*f42n[t]*g42[t] + 356379370886121480*Sqrt[3]*lu1^8*f42n[t]*g42[t] + 5639588328004497760*Sqrt[3]*lu1^9*f42n[t]*g42[t] + 3869818266080492960*Sqrt[3]*lu1^10*f42n[t]*g42[t] - 15331064168485303200*Sqrt[3]*lu1^11*f42n[t]*g42[t] - 17022775811322496000*Sqrt[3]*lu1^12*f42n[t]*g42[t] - 1222095711139520000*Sqrt[3]*lu1^13*f42n[t]*g42[t] + 10*f22n[t]*(6*(338474511 - 16345806696*lu1 + 79346334564*lu1^2 + 5989156738781*lu1^3 - 150650849422439*lu1^4 + 1542644377086334*lu1^5 + 9714056102559594*lu1^6 - 92111338748541799*lu1^7 - 238896679507522654*lu1^8 + 673158157900005444*lu1^9 + 2966974662629035000*lu1^10 + 3429817113633582880*lu1^11 + 1850255654127507200*lu1^12 + 848736564533760000*lu1^13)*f42[t] + 143*Sqrt[3]*(518562 - 12838554*lu1 - 428149197*lu1^2 + 7981577025*lu1^3 + 79069915832*lu1^4 - 775538224464*lu1^5 - 6146548644613* lu1^6 - 23255120517199*lu1^7 - 49491248576680*lu1^8 + 1166568626261144*lu1^9 + 3097955253720624*lu1^10 + 3040519589022800*lu1^11 + 1406207790105600*lu1^12 + 10651908960000*lu1^13)*g22[t] - 3*(177239583 - 1029453948* lu1 - 96600906423*lu1^2 - 1424467402212*lu1^3 - 30304769135837*lu1^4 + 331368733554712*lu1^5 + 1020566276526067*lu1^6 - 3952255932473932*lu1^7 - 26495467268469862*lu1^8 - 53687821149996028*lu1^9 + 84980228842734760*lu1^10 + 477068260485299920*lu1^11 + 551237997178460800*lu1^12 + 169691879006160000*lu1^13)*g42[ t]) + 10*f42[t]*(2*Sqrt[3]*(608595849 - 21060480438*lu1 - 128998972116*lu1^2 - 1422077699415*lu1^3 + 18379321163255* lu1^4 + 1546264787592988*lu1^5 + 5697453903860366*lu1^6 - 149635642711383271*lu1^7 - 378411120297068842*lu1^8 - 871141330617154376*lu1^9 - 47626263218233088*lu1^10 + 5718398105731784560*lu1^11 + 6436794459955008800*lu1^12 + 322737583793296000*lu1^13)*f42n[t] + 7*(-3 + 13*lu1 + 38*lu1^2)*((32694714 - 522361533*lu1 - 23084968142*lu1^2 + 26120288642*lu1^3 + 2784390127174*lu1^4 + 57676662058355* lu1^5 + 237383280080074*lu1^6 - 3751855967885200*lu1^7 - 14414351472596516*lu1^8 + 43206633503600*lu1^9 + 20412496048699600*lu1^10 + 5669448584520000*lu1^11)* g22n[t] + 3*Sqrt[3]*(-1250640 - 150533811*lu1 + 6568573644* lu1^2 + 113546061628*lu1^3 + 1022895929768*lu1^4 + 6595173740569*lu1^5 + 39911344645344*lu1^6 - 750282980139810*lu1^7 - 1874323364932140*lu1^8 + 749883427903160*lu1^9 + 2723030554399600*lu1^10 + 416917651472000*lu1^11)*g42n[t])) + 1045451610*Sqrt[3]* f44n[t]*g44[t] + 45584254170*Sqrt[3]*lu1*f44n[t]*g44[t] - 4481299720170*Sqrt[3]*lu1^2*f44n[t]*g44[t] - 22020266312730* Sqrt[3]*lu1^3*f44n[t]*g44[t] + 492691837186710*Sqrt[3]*lu1^4* f44n[t]*g44[t] - 970459778915970*Sqrt[3]*lu1^5*f44n[t]*g44[t] - 35873143868296070*Sqrt[3]*lu1^6*f44n[t]*g44[t] + 439467895275813530*Sqrt[3]*lu1^7*f44n[t]*g44[t] + 15793250026478400*Sqrt[3]*lu1^8*f44n[t]*g44[t] - 7767715729989859000*Sqrt[3]*lu1^9*f44n[t]*g44[t] - 10027560941675191040*Sqrt[3]*lu1^10*f44n[t]*g44[t] + 12577577676286106400*Sqrt[3]*lu1^11*f44n[t]*g44[t] + 20290087427205232000*Sqrt[3]*lu1^12*f44n[t]*g44[t] + 2634393409909520000*Sqrt[3]*lu1^13*f44n[t]*g44[t] + 570529251*Sqrt[210]*f40[t]*g44n[t] - 6757873443*Sqrt[210]*lu1* f40[t]*g44n[t] - 213095909313*Sqrt[210]*lu1^2*f40[t]*g44n[t] - 1906479348603*Sqrt[210]*lu1^3*f40[t]*g44n[t] + 29994212920049*Sqrt[210]*lu1^4*f40[t]*g44n[t] + 744748036946291*Sqrt[210]*lu1^5*f40[t]*g44n[t] - 174356149769131*Sqrt[210]*lu1^6*f40[t]*g44n[t] - 35553411639260441*Sqrt[210]*lu1^7*f40[t]*g44n[t] - 32411889417029576*Sqrt[210]*lu1^8*f40[t]*g44n[t] + 263491053253275028*Sqrt[210]*lu1^9*f40[t]*g44n[t] + 642753028577761568*Sqrt[210]*lu1^10*f40[t]*g44n[t] + 851607716037716720*Sqrt[210]*lu1^11*f40[t]*g44n[t] + 917413693042232000*Sqrt[210]*lu1^12*f40[t]*g44n[t] + 396733902913320000*Sqrt[210]*lu1^13*f40[t]*g44n[t] - 1045451610*Sqrt[3]*f44[t]*g44n[t] - 45584254170*Sqrt[3]*lu1* f44[t]*g44n[t] + 4481299720170*Sqrt[3]*lu1^2*f44[t]*g44n[t] + 22020266312730*Sqrt[3]*lu1^3*f44[t]*g44n[t] - 492691837186710* Sqrt[3]*lu1^4*f44[t]*g44n[t] + 970459778915970*Sqrt[3]*lu1^5* f44[t]*g44n[t] + 35873143868296070*Sqrt[3]*lu1^6*f44[t]* g44n[t] - 439467895275813530*Sqrt[3]*lu1^7*f44[t]*g44n[t] - 15793250026478400*Sqrt[3]*lu1^8*f44[t]*g44n[t] + 7767715729989859000*Sqrt[3]*lu1^9*f44[t]*g44n[t] + 10027560941675191040*Sqrt[3]*lu1^10*f44[t]*g44n[t] - 12577577676286106400*Sqrt[3]*lu1^11*f44[t]*g44n[t] - 20290087427205232000*Sqrt[3]*lu1^12*f44[t]*g44n[t] - 2634393409909520000*Sqrt[3]*lu1^13*f44[t]*g44n[t]) - 663*(-3 + 37*lu1 + 6846*lu1^2)*f22n[t]* (20*Sqrt[3]*(103203585 + 808524891*lu1 - 41539633023*lu1^2 - 4170159374785*lu1^3 - 8127042971287*lu1^4 + 528722930205341*lu1^ 5 + 8071884257552431*lu1^6 - 24600807564551579*lu1^7 + 11317378891424206*lu1^8 + 270401669868741524*lu1^9 + 198444768756089096*lu1^10 + 576550857449234720*lu1^11 + 955305276962923200*lu1^12 + 92325828097440000*lu1^13)* f40[t]^2 - 13776968160*Sqrt[3]*f42[t]^2 + 155414953080*Sqrt[3]* lu1*f42[t]^2 + 16957970409660*Sqrt[3]*lu1^2*f42[t]^2 - 92657107898860*Sqrt[3]*lu1^3*f42[t]^2 - 2730099704133760*Sqrt[3]* lu1^4*f42[t]^2 + 32229524525770880*Sqrt[3]*lu1^5*f42[t]^2 - 165108081089899460*Sqrt[3]*lu1^6*f42[t]^2 - 236835590335749740* Sqrt[3]*lu1^7*f42[t]^2 + 1255125350478461800*Sqrt[3]*lu1^8* f42[t]^2 + 18213625660225891040*Sqrt[3]*lu1^9*f42[t]^2 + 16632544803224271680*Sqrt[3]*lu1^10*f42[t]^2 - 84705561802122510400*Sqrt[3]*lu1^11*f42[t]^2 - 101257707645674256000*Sqrt[3]*lu1^12*f42[t]^2 + 2617126430815680000*Sqrt[3]*lu1^13*f42[t]^2 - 1605051180*Sqrt[3]* f42n[t]^2 - 265794655680*Sqrt[3]*lu1*f42n[t]^2 + 14377990967340*Sqrt[3]*lu1^2*f42n[t]^2 - 121098661887160*Sqrt[3]* lu1^3*f42n[t]^2 - 2362513280868660*Sqrt[3]*lu1^4*f42n[t]^2 + 63154820277630640*Sqrt[3]*lu1^5*f42n[t]^2 - 51159003012692140* Sqrt[3]*lu1^6*f42n[t]^2 - 3229548444563415160*Sqrt[3]*lu1^7* f42n[t]^2 - 6313097055462915040*Sqrt[3]*lu1^8*f42n[t]^2 + 790799047882803520*Sqrt[3]*lu1^9*f42n[t]^2 + 15680019538859609920* Sqrt[3]*lu1^10*f42n[t]^2 + 29662400312513180800*Sqrt[3]*lu1^11* f42n[t]^2 + 27478181553425920000*Sqrt[3]*lu1^12*f42n[t]^2 + 9071878106681600000*Sqrt[3]*lu1^13*f42n[t]^2 + 11018700000*Sqrt[3]*f44[t]^2 + 417199010760*Sqrt[3]*lu1* f44[t]^2 - 39507433767480*Sqrt[3]*lu1^2*f44[t]^2 + 359570854037360*Sqrt[3]*lu1^3*f44[t]^2 + 6653453604110320*Sqrt[3]* lu1^4*f44[t]^2 - 154845629308513080*Sqrt[3]*lu1^5*f44[t]^2 + 104764936651284840*Sqrt[3]*lu1^6*f44[t]^2 + 6944998050211351200* Sqrt[3]*lu1^7*f44[t]^2 + 11638545492054532800*Sqrt[3]*lu1^8* f44[t]^2 - 17329370800832754720*Sqrt[3]*lu1^9*f44[t]^2 - 45094332529949922240*Sqrt[3]*lu1^10*f44[t]^2 - 10541770856267817600*Sqrt[3]*lu1^11*f44[t]^2 - 188628369241312000* Sqrt[3]*lu1^12*f44[t]^2 - 21119518208539520000*Sqrt[3]*lu1^13* f44[t]^2 + 11018700000*Sqrt[3]*f44n[t]^2 + 417199010760*Sqrt[3]* lu1*f44n[t]^2 - 39507433767480*Sqrt[3]*lu1^2*f44n[t]^2 + 359570854037360*Sqrt[3]*lu1^3*f44n[t]^2 + 6653453604110320* Sqrt[3]*lu1^4*f44n[t]^2 - 154845629308513080*Sqrt[3]*lu1^5* f44n[t]^2 + 104764936651284840*Sqrt[3]*lu1^6*f44n[t]^2 + 6944998050211351200*Sqrt[3]*lu1^7*f44n[t]^2 + 11638545492054532800*Sqrt[3]*lu1^8*f44n[t]^2 - 17329370800832754720*Sqrt[3]*lu1^9*f44n[t]^2 - 45094332529949922240*Sqrt[3]*lu1^10*f44n[t]^2 - 10541770856267817600*Sqrt[3]*lu1^11*f44n[t]^2 - 188628369241312000*Sqrt[3]*lu1^12*f44n[t]^2 - 21119518208539520000*Sqrt[3]*lu1^13*f44n[t]^2 + 895323780*Sqrt[42]*f44[t]*g20[t] - 15221127555*Sqrt[42]*lu1* f44[t]*g20[t] - 646106109705*Sqrt[42]*lu1^2*f44[t]*g20[t] + 2356253746470*Sqrt[42]*lu1^3*f44[t]*g20[t] + 64600142619690* Sqrt[42]*lu1^4*f44[t]*g20[t] + 1595812871701225*Sqrt[42]*lu1^5* f44[t]*g20[t] + 8168653622245155*Sqrt[42]*lu1^6*f44[t]*g20[t] - 147440544181286540*Sqrt[42]*lu1^7*f44[t]*g20[t] - 796030321727071400*Sqrt[42]*lu1^8*f44[t]*g20[t] - 841569002405177840*Sqrt[42]*lu1^9*f44[t]*g20[t] + 1405751289589715920*Sqrt[42]*lu1^10*f44[t]*g20[t] + 4019616120821520000*Sqrt[42]*lu1^11*f44[t]*g20[t] + 3789486302917648000*Sqrt[42]*lu1^12*f44[t]*g20[t] + 1495164986968800000*Sqrt[42]*lu1^13*f44[t]*g20[t] - 9895205970*f42[t]*g22[t] + 134990617590*lu1*f42[t]*g22[t] + 8386024898580*lu1^2*f42[t]*g22[t] - 42870881016340*lu1^3*f42[t]* g22[t] - 188734831540270*lu1^4*f42[t]*g22[t] - 13362011370765650*lu1^5*f42[t]*g22[t] - 226772171802255040*lu1^6* f42[t]*g22[t] + 557029896205674400*lu1^7*f42[t]*g22[t] + 8470946232886276940*lu1^8*f42[t]*g22[t] + 19780530754123406320* lu1^9*f42[t]*g22[t] - 13930708667472965440*lu1^10*f42[t]* g22[t] - 95880348162405896000*lu1^11*f42[t]*g22[t] - 106681770009514136000*lu1^12*f42[t]*g22[t] - 36861764463686400000* lu1^13*f42[t]*g22[t] - 13080394080*f42n[t]*g22n[t] + 276095254140*lu1*f42n[t]*g22n[t] + 7221476306940*lu1^2*f42n[t]* g22n[t] - 72303703154800*lu1^3*f42n[t]*g22n[t] + 726392802469640*lu1^4*f42n[t]*g22n[t] - 12023978444423060*lu1^5* f42n[t]*g22n[t] - 358806729084749140*lu1^6*f42n[t]*g22n[t] - 41169940568863880*lu1^7*f42n[t]*g22n[t] + 7942392847029284720* lu1^8*f42n[t]*g22n[t] + 20939913727328716240*lu1^9*f42n[t]* g22n[t] - 13836360329398193920*lu1^10*f42n[t]*g22n[t] - 98517429980476092800*lu1^11*f42n[t]*g22n[t] - 106898082352975808000*lu1^12*f42n[t]*g22n[t] - 34686789920553120000*lu1^13*f42n[t]*g22n[t] - 1033208055*Sqrt[210]*f44[t]*g40[t] + 940660587*Sqrt[210]*lu1* f44[t]*g40[t] + 376131605409*Sqrt[210]*lu1^2*f44[t]*g40[t] + 13538037482715*Sqrt[210]*lu1^3*f44[t]*g40[t] + 131159768764871*Sqrt[210]*lu1^4*f44[t]*g40[t] - 1718835362988163*Sqrt[210]*lu1^5*f44[t]*g40[t] - 7006461931461173*Sqrt[210]*lu1^6*f44[t]*g40[t] + 26182186442937017*Sqrt[210]*lu1^7*f44[t]*g40[t] + 177804374878789252*Sqrt[210]*lu1^8*f44[t]*g40[t] + 170573980028485748*Sqrt[210]*lu1^9*f44[t]*g40[t] - 662565668054024768*Sqrt[210]*lu1^10*f44[t]*g40[t] - 1649295154302896560*Sqrt[210]*lu1^11*f44[t]*g40[t] - 1261059853352921600*Sqrt[210]*lu1^12*f44[t]*g40[t] - 343324473143960000*Sqrt[210]*lu1^13*f44[t]*g40[t] - 2581804530*Sqrt[3]*f42[t]*g42[t] - 45344578410*Sqrt[3]*lu1*f42[t]* g42[t] + 2756416115250*Sqrt[3]*lu1^2*f42[t]*g42[t] + 53057065966470*Sqrt[3]*lu1^3*f42[t]*g42[t] + 616218751780590* Sqrt[3]*lu1^4*f42[t]*g42[t] - 3766073889936750*Sqrt[3]*lu1^5* f42[t]*g42[t] - 33710226854987370*Sqrt[3]*lu1^6*f42[t]*g42[t] - 189163204010950350*Sqrt[3]*lu1^7*f42[t]*g42[t] + 753009796267862940*Sqrt[3]*lu1^8*f42[t]*g42[t] + 5877007395236038080*Sqrt[3]*lu1^9*f42[t]*g42[t] + 7237781169782385120*Sqrt[3]*lu1^10*f42[t]*g42[t] - 7314966073682407200*Sqrt[3]*lu1^11*f42[t]*g42[t] - 15910295939615544000*Sqrt[3]*lu1^12*f42[t]*g42[t] - 5571648847544640000*Sqrt[3]*lu1^13*f42[t]*g42[t] - 5921914860*Sqrt[3]*f42n[t]*g42n[t] + 15446688660*Sqrt[3]*lu1* f42n[t]*g42n[t] + 3008638885140*Sqrt[3]*lu1^2*f42n[t]*g42n[t] + 59120003373660*Sqrt[3]*lu1^3*f42n[t]*g42n[t] + 173156568176340*Sqrt[3]*lu1^4*f42n[t]*g42n[t] - 9138493389505620*Sqrt[3]*lu1^5*f42n[t]*g42n[t] - 11204302498018900*Sqrt[3]*lu1^6*f42n[t]*g42n[t] + 202970012425394020*Sqrt[3]*lu1^7*f42n[t]*g42n[t] + 560432881549396440*Sqrt[3]*lu1^8*f42n[t]*g42n[t] - 59991804118880960*Sqrt[3]*lu1^9*f42n[t]*g42n[t] - 3517828507391720320*Sqrt[3]*lu1^10*f42n[t]*g42n[t] - 9490745194416945600*Sqrt[3]*lu1^11*f42n[t]*g42n[t] - 10065102738310672000*Sqrt[3]*lu1^12*f42n[t]*g42n[t] - 3466741699937600000*Sqrt[3]*lu1^13*f42n[t]*g42n[t] + 13877659530*Sqrt[3]*f44[t]*g44[t] - 9996090930*Sqrt[3]*lu1*f44[t]* g44[t] - 8257577225310*Sqrt[3]*lu1^2*f44[t]*g44[t] - 147487339338570*Sqrt[3]*lu1^3*f44[t]*g44[t] - 337442700100170* Sqrt[3]*lu1^4*f44[t]*g44[t] + 21403184238623250*Sqrt[3]*lu1^5* f44[t]*g44[t] + 19221143150963110*Sqrt[3]*lu1^6*f44[t]*g44[t] - 380853246571552510*Sqrt[3]*lu1^7*f44[t]*g44[t] - 1221348322993183560*Sqrt[3]*lu1^8*f44[t]*g44[t] - 1622717510015606200*Sqrt[3]*lu1^9*f44[t]*g44[t] + 4728552244208296000*Sqrt[3]*lu1^10*f44[t]*g44[t] + 23295277636498375200*Sqrt[3]*lu1^11*f44[t]*g44[t] + 28519882085431744000*Sqrt[3]*lu1^12*f44[t]*g44[t] + 9884603826468560000*Sqrt[3]*lu1^13*f44[t]*g44[t] + Sqrt[3]*f40[t]*(4*Sqrt[70]*(157202775 - 27185325462*lu1 + 764035298586*lu1^2 - 3810938271375*lu1^3 - 113815965649751* lu1^4 + 3897661181681948*lu1^5 - 6851922894162632*lu1^6 - 240682886146912367*lu1^7 - 571015906705355042*lu1^8 - 680391165343811368*lu1^9 + 668257811476658528*lu1^10 + 4312309313924626160*lu1^11 + 4253402317864957600*lu1^12 + 601224483058640000*lu1^13)*f44[t] + 7*Sqrt[5]*(-114666786 + 3584338011*lu1 + 131905536771*lu1^2 - 2988371645246*lu1^3 - 64802854330556*lu1^4 + 561890075684831*lu1^5 + 9628248900129691*lu1^6 + 15098148245430644*lu1^7 + 9411731443219264*lu1^8 - 106031321018345344*lu1^9 - 616143761257453040*lu1^10 - 804205811801190400*lu1^11 - 136318574580256000*lu1^12 + 143104069409280000*lu1^13)*g20[ t] + (-3 + 13*lu1 + 38*lu1^2)*(105*(1488699 - 37989126*lu1 - 2063327985*lu1^2 + 19739834182*lu1^3 + 2057893971929* lu1^4 + 12098442887462*lu1^5 - 43701740105451*lu1^6 - 517184522904966*lu1^7 - 882669397967464*lu1^8 - 17315100826720*lu1^9 + 735358740955600*lu1^10 + 286959450540000*lu1^11)*g40[t] - Sqrt[70]*(-190176417 + 1428526674*lu1 + 74813350743*lu1^2 + 977778973958*lu1^3 - 4813392976787*lu1^4 - 256722181544706*lu1^5 - 1115313714476651*lu1^6 + 3766296817455050*lu1^7 + 12997275631277496*lu1^8 + 16197603005541440*lu1^9 + 20570761494274000*lu1^10 + 10440365866140000*lu1^11)* g44[t])) + 13877659530*Sqrt[3]*f44n[t]*g44n[t] - 9996090930*Sqrt[3]*lu1*f44n[t]*g44n[t] - 8257577225310*Sqrt[3]* lu1^2*f44n[t]*g44n[t] - 147487339338570*Sqrt[3]*lu1^3*f44n[t]* g44n[t] - 337442700100170*Sqrt[3]*lu1^4*f44n[t]*g44n[t] + 21403184238623250*Sqrt[3]*lu1^5*f44n[t]*g44n[t] + 19221143150963110*Sqrt[3]*lu1^6*f44n[t]*g44n[t] - 380853246571552510*Sqrt[3]*lu1^7*f44n[t]*g44n[t] - 1221348322993183560*Sqrt[3]*lu1^8*f44n[t]*g44n[t] - 1622717510015606200*Sqrt[3]*lu1^9*f44n[t]*g44n[t] + 4728552244208296000*Sqrt[3]*lu1^10*f44n[t]*g44n[t] + 23295277636498375200*Sqrt[3]*lu1^11*f44n[t]*g44n[t] + 28519882085431744000*Sqrt[3]*lu1^12*f44n[t]*g44n[t] + 9884603826468560000*Sqrt[3]*lu1^13*f44n[t]*g44n[t]))))/ (102204102*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) eqF44f = (2*cap*(-46410*(144056232 + 6391703115*lu1 - 719118493614*lu1^2 - 20687819761089*lu1^3 + 775156329674640*lu1^4 + 11883437644442475* lu1^5 - 90259660736311194*lu1^6 + 840864085315070945*lu1^7 - 17611849188421275532*lu1^8 - 110222126259512811110*lu1^9 + 259615655233676397852*lu1^10 + 1203897845243007314192*lu1^11 + 1252586768837175440416*lu1^12 + 579661681286364546592*lu1^13 + 308403152335017190080*lu1^14 + 124103026955079648000*lu1^15)* f20[t]^2*f44[t] + 442*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (715*Sqrt[14]*(-409212 - 9602793*lu1 + 904917447*lu1^2 + 7034075208*lu1^3 - 418189583502*lu1^4 - 222809621353*lu1^5 + 43144543034547*lu1^6 - 42487027285702*lu1^7 - 869590577720752* lu1^8 + 1831123312175552*lu1^9 + 1089624199093040*lu1^10 - 5053002092085600*lu1^11 - 861078548944000*lu1^12 + 1524613453440000*lu1^13)*f22[t]^2 - 715*Sqrt[14]* (-409212 - 9602793*lu1 + 904917447*lu1^2 + 7034075208*lu1^3 - 418189583502*lu1^4 - 222809621353*lu1^5 + 43144543034547*lu1^6 - 42487027285702*lu1^7 - 869590577720752*lu1^8 + 1831123312175552* lu1^9 + 1089624199093040*lu1^10 - 5053002092085600*lu1^11 - 861078548944000*lu1^12 + 1524613453440000*lu1^13)*f22n[t]^2 - 15*Sqrt[42]*(-124099506 + 43759782*lu1 + 171822471807*lu1^2 - 227969901381*lu1^3 - 45136304886206*lu1^4 + 152729808801560* lu1^5 + 2574278269772051*lu1^6 - 1106527593233285*lu1^7 + 17878024525748486*lu1^8 + 123961642170236412*lu1^9 + 186225417094214376*lu1^10 + 74677230732968640*lu1^11 + 8525722822840000*lu1^12 + 25879294638960000*lu1^13)*f22[t]* f42[t] + 15*Sqrt[42]*(-124099506 + 43759782*lu1 + 171822471807*lu1^2 - 227969901381*lu1^3 - 45136304886206*lu1^4 + 152729808801560*lu1^5 + 2574278269772051*lu1^6 - 1106527593233285*lu1^7 + 17878024525748486*lu1^8 + 123961642170236412*lu1^9 + 186225417094214376*lu1^10 + 74677230732968640*lu1^11 + 8525722822840000*lu1^12 + 25879294638960000*lu1^13)*f22n[t]*f42n[t] - 9*(5*Sqrt[14]*(155362212 - 118051128*lu1 - 163215274383*lu1^2 - 141477253137*lu1^3 + 18300390640642*lu1^4 - 241031347280622*lu1^ 5 - 135734507627179*lu1^6 - 2607876685917925*lu1^7 - 22872912448981436*lu1^8 - 78622897333051812*lu1^9 - 94527760929341920*lu1^10 + 161647412655300400*lu1^11 + 339996193765062400*lu1^12 + 110810019598264000*lu1^13)* f42[t]^2 - 5*Sqrt[14]*(155362212 - 118051128*lu1 - 163215274383*lu1^2 - 141477253137*lu1^3 + 18300390640642*lu1^ 4 - 241031347280622*lu1^5 - 135734507627179*lu1^6 - 2607876685917925*lu1^7 - 22872912448981436*lu1^8 - 78622897333051812*lu1^9 - 94527760929341920*lu1^10 + 161647412655300400*lu1^11 + 339996193765062400*lu1^12 + 110810019598264000*lu1^13)*f42n[t]^2 - 28*Sqrt[5]* (-146987244 + 147351924*lu1 + 167123323353*lu1^2 - 296793270029*lu1^3 - 27783791859122*lu1^4 + 163039598259478*lu1^ 5 + 1137150198495989*lu1^6 + 2718477311982119*lu1^7 + 25417955573129296*lu1^8 + 56712604621334108*lu1^9 + 31369224932202288*lu1^10 + 845432876674320*lu1^11 + 13699296824800000*lu1^12 + 10017250817000000*lu1^13)*f40[t]* f44[t])) + 3*(1105*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]^2* (Sqrt[70]*(78580800 + 1329241023*lu1 - 121032868131*lu1^2 - 1099227231446*lu1^3 + 30041065406398*lu1^4 - 74139685859793*lu1^ 5 - 351115863786375*lu1^6 + 5481201832262300*lu1^7 - 13894305323563500*lu1^8 - 115393405267614420*lu1^9 - 201080526609347480*lu1^10 - 82757272660451472*lu1^11 + 49144651324973920*lu1^12 + 10331972807184000*lu1^13)*f40[t] - 14*(-199531512 + 1375646481*lu1 + 275217955635*lu1^2 - 2661516969814*lu1^3 - 60267083036850*lu1^4 + 498337271971841* lu1^5 + 3604228556688927*lu1^6 - 9467813371760616*lu1^7 + 76154439478368064*lu1^8 + 268688937830301036*lu1^9 + 104558184354070728*lu1^10 + 53795737896326384*lu1^11 + 369727527744006560*lu1^12 + 191432674188336000*lu1^13)* f44[t]) - 1105*(-3 + 37*lu1 + 6846*lu1^2)*f22n[t]^2* (Sqrt[70]*(78580800 + 1329241023*lu1 - 121032868131*lu1^2 - 1099227231446*lu1^3 + 30041065406398*lu1^4 - 74139685859793*lu1^ 5 - 351115863786375*lu1^6 + 5481201832262300*lu1^7 - 13894305323563500*lu1^8 - 115393405267614420*lu1^9 - 201080526609347480*lu1^10 - 82757272660451472*lu1^11 + 49144651324973920*lu1^12 + 10331972807184000*lu1^13)*f40[t] + 14*(-199531512 + 1375646481*lu1 + 275217955635*lu1^2 - 2661516969814*lu1^3 - 60267083036850*lu1^4 + 498337271971841* lu1^5 + 3604228556688927*lu1^6 - 9467813371760616*lu1^7 + 76154439478368064*lu1^8 + 268688937830301036*lu1^9 + 104558184354070728*lu1^10 + 53795737896326384*lu1^11 + 369727527744006560*lu1^12 + 191432674188336000*lu1^13)* f44[t]) + 221*Sqrt[3]*(-3 + 37*lu1 + 6846*lu1^2)*f22n[t]* (Sqrt[70]*(3319223508 - 3501957483*lu1 - 3696192794511*lu1^2 + 5097941963148*lu1^3 + 548417257363874*lu1^4 - 1563570226272291* lu1^5 + 1200192241936237*lu1^6 + 79156844082982882*lu1^7 - 653686010421833572*lu1^8 - 2599263442846200336*lu1^9 - 702894163472714816*lu1^10 + 4845385971286242560*lu1^11 + 4739394442789664000*lu1^12 + 1074615946206320000*lu1^13)*f40[t]* f42n[t] + 70*((-1072440108 + 1136996181*lu1 + 1232080415265* lu1^2 - 2665410679268*lu1^3 - 212203931022414*lu1^4 + 956747992845565*lu1^5 + 7926489269539133*lu1^6 + 10818744792848498*lu1^7 + 196091130889344588*lu1^8 + 476784453019283184*lu1^9 + 146681015837581568*lu1^10 - 101408731166627200*lu1^11 + 236003565972665600*lu1^12 + 148229835599664000*lu1^13)*f42n[t]*f44[t] + (-69957972 + 159022395*lu1 + 120538367439*lu1^2 - 1462017573628*lu1^3 - 48000008724482*lu1^4 + 35601797145683*lu1^5 + 5176375081904019*lu1^6 + 11371476207265230*lu1^7 + 17432686192281220*lu1^8 - 110724786895481136*lu1^9 - 148361360368521792*lu1^10 + 758143576307920640*lu1^11 + 1288372770985184000*lu1^12 + 415217252597392000*lu1^13)*f42[ t]*f44n[t])) - 221*Sqrt[3]*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]* (Sqrt[70]*(3319223508 - 3501957483*lu1 - 3696192794511*lu1^2 + 5097941963148*lu1^3 + 548417257363874*lu1^4 - 1563570226272291* lu1^5 + 1200192241936237*lu1^6 + 79156844082982882*lu1^7 - 653686010421833572*lu1^8 - 2599263442846200336*lu1^9 - 702894163472714816*lu1^10 + 4845385971286242560*lu1^11 + 4739394442789664000*lu1^12 + 1074615946206320000*lu1^13)*f40[t]* f42[t] - 70*((-1072440108 + 1136996181*lu1 + 1232080415265* lu1^2 - 2665410679268*lu1^3 - 212203931022414*lu1^4 + 956747992845565*lu1^5 + 7926489269539133*lu1^6 + 10818744792848498*lu1^7 + 196091130889344588*lu1^8 + 476784453019283184*lu1^9 + 146681015837581568*lu1^10 - 101408731166627200*lu1^11 + 236003565972665600*lu1^12 + 148229835599664000*lu1^13)*f42[t]*f44[t] - (-69957972 + 159022395*lu1 + 120538367439*lu1^2 - 1462017573628*lu1^3 - 48000008724482*lu1^4 + 35601797145683*lu1^5 + 5176375081904019*lu1^6 + 11371476207265230*lu1^7 + 17432686192281220*lu1^8 - 110724786895481136*lu1^9 - 148361360368521792*lu1^10 + 758143576307920640*lu1^11 + 1288372770985184000*lu1^12 + 415217252597392000*lu1^13)*f42n[ t]*f44n[t])) + 8*(-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)*(9*Sqrt[70]*(987084036 - 82340488755*lu1 - 2698027284492*lu1^2 + 207264471272796*lu1^3 + 2825936460702885* lu1^4 - 56433465361050053*lu1^5 - 953080752033995350*lu1^6 - 4391674591162984394*lu1^7 + 4640775150120651037*lu1^8 - 17617437467731119490*lu1^9 + 94691330378915995900*lu1^10 + 89984518672584165000*lu1^11)*f40[t]*(f42[t]^2 - f42n[t]^2) + 70*(2615444964 + 67788012033*lu1 - 8507003060604*lu1^2 - 229298965676550*lu1^3 + 2360902216072801*lu1^4 + 49295487004452531*lu1^5 + 1809357927510344970*lu1^6 + 15520424804157694844*lu1^7 - 93603884534496607599*lu1^8 - 161560285995383690370*lu1^9 + 131119739402063001100*lu1^10 + 217105177974348993000*lu1^11)*f40[t]^2*f44[t] + 14*f44[t]*((35038205964 - 63184278465*lu1 - 109352276166468* lu1^2 - 427609415310336*lu1^3 + 49042450307053975*lu1^4 - 14946318204925167*lu1^5 + 9515852506797491550*lu1^6 + 115679176721110088894*lu1^7 - 894271868993880216657*lu1^8 - 1774159797163416979110*lu1^9 + 2163419367430873974100* lu1^10 + 2980912447796747415000*lu1^11)*f42[t]^2 + (35038205964 - 63184278465*lu1 - 109352276166468*lu1^2 - 427609415310336*lu1^3 + 49042450307053975*lu1^4 - 14946318204925167*lu1^5 + 9515852506797491550*lu1^6 + 115679176721110088894*lu1^7 - 894271868993880216657*lu1^8 - 1774159797163416979110*lu1^9 + 2163419367430873974100* lu1^10 + 2980912447796747415000*lu1^11)*f42n[t]^2 + 14*(3560319036 - 92735114985*lu1 - 10701620388132*lu1^2 + 191525546698686*lu1^3 + 6530821229828375*lu1^4 - 61532021330048283*lu1^5 - 341454198122317050*lu1^6 + 3557432703833237356*lu1^7 - 58904302981576460793*lu1^8 - 145601525655670269390*lu1^9 + 255984951651043850900*lu1^10 + 309334301991822135000*lu1^11)*(f44[t]^2 + f44n[t]^2))))))/ (51102051*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) - (154*cap*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (100*lu1^5*(68068*Sqrt[70]*f22[t]^2 - 68068*Sqrt[70]*f22n[t]^2 + 1059006*Sqrt[210]*f22[t]*f42[t] - 3254985*Sqrt[70]*f42[t]^2 - 1059006*Sqrt[210]*f22n[t]*f42n[t] + 3254985*Sqrt[70]*f42n[t]^2 + 34918884*Sqrt[Pi]*f44[t] + 14826084*Sqrt[5]*f20[t]*f44[t] - 30379860*f40[t]*f44[t]) + 36*(299*Sqrt[210]*f22[t]*f42[t] - 4050*Sqrt[70]*f42[t]^2 - 299*Sqrt[210]*f22n[t]*f42n[t] + 4050*Sqrt[70]*f42n[t]^2 + 4186*Sqrt[5]*f20[t]*f44[t] - 37800*f40[t]*f44[t]) + 9*lu1^3*(1764620*Sqrt[70]*f22[t]^2 - 1764620*Sqrt[70]*f22n[t]^2 - 2030691*Sqrt[210]*f22[t]*f42[t] + 3539565*Sqrt[70]*f42[t]^2 + 2030691*Sqrt[210]*f22n[t]*f42n[t] - 3539565*Sqrt[70]*f42n[t]^2 - 27447420*Sqrt[Pi]*f44[t] - 28429674*Sqrt[5]*f20[t]*f44[t] + 33035940*f40[t]*f44[t]) - 2*lu1^4*(60391760*Sqrt[70]*f22[t]^2 - 60391760*Sqrt[70]*f22n[t]^2 - 38550447*Sqrt[210]*f22[t]*f42[t] + 38550447*Sqrt[210]*f22n[t]* f42n[t] + 18*(6593130*Sqrt[70]*f42[t]^2 - 6593130*Sqrt[70]* f42n[t]^2 - 7*(5311020*Sqrt[Pi] + 4283383*Sqrt[5]*f20[t] - 8790840*f40[t])*f44[t])) + 10*lu1^2* (157300*Sqrt[70]*f22[t]^2 - 157300*Sqrt[70]*f22n[t]^2 - 546468*Sqrt[210]*f22[t]*f42[t] + 546468*Sqrt[210]*f22n[t]* f42n[t] + 3*(954909*Sqrt[70]*f42[t]^2 - 954909*Sqrt[70]* f42n[t]^2 - 28*(21879*Sqrt[Pi] + 91078*Sqrt[5]*f20[t] - 318303* f40[t])*f44[t])) + lu1*(-122980*Sqrt[70]*f22[t]^2 + 122980*Sqrt[70]*f22n[t]^2 + 512577*Sqrt[210]*f22[t]*f42[t] - 512577*Sqrt[210]*f22n[t]*f42n[t] - 63*(51705*Sqrt[70]*f42[t]^2 - 51705*Sqrt[70]*f42n[t]^2 - 25740*Sqrt[Pi]*f44[t] - 113906*Sqrt[5]*f20[t]*f44[t] + 482580*f40[t]*f44[t]))) + 3*(-1 + 17*lu1)*(154154*(1 + 12*lu1 + 20*lu1^2)^2* (9 - 204*lu1 + 829*lu1^2 + 646*lu1^3)*Pi*sc*f44n[t] - Sqrt[Pi/3]*(5*f22n[t]*(12*lu1^5*(705364660*Sqrt[7*Pi] + 38247924* Sqrt[35]*f20[t] - 249628495*Sqrt[7]*f40[t] - 315866117* Sqrt[10]*f44[t]) - 2*lu1*(99099*Sqrt[7*Pi] - 501930*Sqrt[35]* f20[t] + 12436250*Sqrt[7]*f40[t] - 64797082*Sqrt[10]* f44[t]) - 14*lu1^3*(18583422*Sqrt[7*Pi] + 13351338*Sqrt[35]* f20[t] + 17592085*Sqrt[7]*f40[t] - 7131845*Sqrt[10]*f44[t]) + 3*(99099*Sqrt[7*Pi] + 30888*Sqrt[35]*f20[t] + 92720*Sqrt[7]* f40[t] + 8815632*Sqrt[10]*f44[t]) - 33*lu1^2* (2401399*Sqrt[7*Pi] + 1247376*Sqrt[35]*f20[t] - 5996370*Sqrt[7]* f40[t] + 48082370*Sqrt[10]*f44[t]) + 8*lu1^6* (533482950*Sqrt[7*Pi] - 99768240*Sqrt[35]*f20[t] + 253952495* Sqrt[7]*f40[t] + 187056149*Sqrt[10]*f44[t]) + 4*lu1^4*(738882144*Sqrt[7*Pi] + 594563112*Sqrt[35]*f20[t] - 514657435*Sqrt[7]*f40[t] + 480973619*Sqrt[10]*f44[t])) - 5*Sqrt[3]*f42n[t]*(-261261*Sqrt[7*Pi] - 134352*Sqrt[35]*f20[t] + 372600*Sqrt[7]*f40[t] + 57116472*Sqrt[10]*f44[t] - 14*lu1^3*(13918333*Sqrt[7*Pi] + 8235696*Sqrt[35]*f20[t] - 21406315*Sqrt[7]*f40[t] - 278376469*Sqrt[10]*f44[t]) - 4*lu1^4*(170062893*Sqrt[7*Pi] - 179881434*Sqrt[35]*f20[t] + 1072275945*Sqrt[7]*f40[t] + 36053339*Sqrt[10]*f44[t]) + 32*lu1^6*(1616615*Sqrt[7*Pi] - 7469166*Sqrt[35]*f20[t] + 105784615*Sqrt[7]*f40[t] + 94460065*Sqrt[10]*f44[t]) + 4*lu1*(705705*Sqrt[7*Pi] + 2451474*Sqrt[35]*f20[t] - 24072750* Sqrt[7]*f40[t] + 174154372*Sqrt[10]*f44[t]) + lu1^2*(41388347*Sqrt[7*Pi] - 56904144*Sqrt[35]*f20[t] + 309054170*Sqrt[7]*f40[t] + 312761358*Sqrt[10]*f44[t]) - 8*lu1^5*(34703669*Sqrt[7*Pi] - 19199130*Sqrt[35]*f20[t] + 591651350*Sqrt[7]*f40[t] + 879009222*Sqrt[10]*f44[t])) + 14*Sqrt[10]*(-2 + lu1)*(13*(-386676 - 1367491*lu1 + 21101551* lu1^2 - 58102806*lu1^3 + 167844482*lu1^4 + 689863420*lu1^5 + 328297200*lu1^6)*f22[t] + 5*Sqrt[3]*(1137954 + 10380431*lu1 - 17121367*lu1^2 + 69871758*lu1^3 - 165425752*lu1^4 - 742218640* lu1^5)*f42[t])*f44n[t])) + 154*(3 + 8*lu1 + 4*lu1^2)*mar* Sqrt[Pi]*(429*Sqrt[70]*(-41 + 857*lu1 + 849*lu1^2 - 82013*lu1^3 + 362480*lu1^4 + 5100*lu1^5)*f22[t]^2 - 429*Sqrt[70]* (-41 + 857*lu1 + 849*lu1^2 - 82013*lu1^3 + 362480*lu1^4 + 5100*lu1^5)*f22n[t]^2 + 32400*Sqrt[70]*f42[t]^2 + 2575125*Sqrt[70]*lu1*f42[t]^2 - 33616350*Sqrt[70]*lu1^2*f42[t]^2 + 27493425*Sqrt[70]*lu1^3*f42[t]^2 + 405936900*Sqrt[70]*lu1^4* f42[t]^2 + 392804100*Sqrt[70]*lu1^5*f42[t]^2 - 32400*Sqrt[70]*f42n[t]^2 - 2575125*Sqrt[70]*lu1*f42n[t]^2 + 33616350*Sqrt[70]*lu1^2*f42n[t]^2 - 27493425*Sqrt[70]*lu1^3* f42n[t]^2 - 405936900*Sqrt[70]*lu1^4*f42n[t]^2 - 392804100*Sqrt[70]*lu1^5*f42n[t]^2 + 60060*Sqrt[Pi]*f44[t] - 2242240*lu1*Sqrt[Pi]*f44[t] + 8548540*lu1^2*Sqrt[Pi]*f44[t] + 287447160*lu1^3*Sqrt[Pi]*f44[t] - 1159478320*lu1^4*Sqrt[Pi]*f44[t] - 3362559200*lu1^5*Sqrt[Pi]*f44[t] + 245700*Sqrt[5]*f20[t]*f44[t] - 8560734*Sqrt[5]*lu1*f20[t]*f44[t] + 48706476*Sqrt[5]*lu1^2*f20[t]* f44[t] + 113813154*Sqrt[5]*lu1^3*f20[t]*f44[t] - 1861520388*Sqrt[5]*lu1^4*f20[t]*f44[t] - 2177338800*Sqrt[5]*lu1^5* f20[t]*f44[t] + 302400*f40[t]*f44[t] + 24034500*lu1*f40[t]*f44[t] - 313752600*lu1^2*f40[t]*f44[t] + 256605300*lu1^3*f40[t]*f44[t] + 3788744400*lu1^4*f40[t]*f44[t] + 3666171600*lu1^5*f40[t]*f44[t] - 130494*Sqrt[5]*f44[t]*g20[t] + 818272*Sqrt[5]*lu1*f44[t]*g20[t] + 21457436*Sqrt[5]*lu1^2*f44[t]*g20[t] + 24090612*Sqrt[5]*lu1^3*f44[t]* g20[t] + 249670330*Sqrt[5]*lu1^4*f44[t]*g20[t] + 312958100*Sqrt[5]*lu1^5*f44[t]*g20[t] - 9321*Sqrt[210]*f42[t]* g22[t] + 58448*Sqrt[210]*lu1*f42[t]*g22[t] + 1532674*Sqrt[210]* lu1^2*f42[t]*g22[t] + 1720758*Sqrt[210]*lu1^3*f42[t]*g22[t] + 17833595*Sqrt[210]*lu1^4*f42[t]*g22[t] + 22354150*Sqrt[210]*lu1^5* f42[t]*g22[t] + 9321*Sqrt[210]*f42n[t]*g22n[t] - 58448*Sqrt[210]*lu1*f42n[t]*g22n[t] - 1532674*Sqrt[210]*lu1^2* f42n[t]*g22n[t] - 1720758*Sqrt[210]*lu1^3*f42n[t]*g22n[t] - 17833595*Sqrt[210]*lu1^4*f42n[t]*g22n[t] - 22354150*Sqrt[210]*lu1^5* f42n[t]*g22n[t] + 281610*f44[t]*g40[t] + 1416240*lu1*f44[t]* g40[t] + 8810550*lu1^2*f44[t]*g40[t] - 127034460*lu1^3*f44[t]* g40[t] - 342696060*lu1^4*f44[t]*g40[t] - 120418200*lu1^5*f44[t]* g40[t] + 60345*Sqrt[70]*f42[t]*g42[t] + 303480*Sqrt[70]*lu1*f42[t]* g42[t] + 1887975*Sqrt[70]*lu1^2*f42[t]*g42[t] - 27221670*Sqrt[70]*lu1^3*f42[t]*g42[t] - 73434870*Sqrt[70]*lu1^4* f42[t]*g42[t] - 25803900*Sqrt[70]*lu1^5*f42[t]*g42[t] - 13*Sqrt[70]*f22[t]*(3*Sqrt[3]*(-450 + 15679*lu1 - 89206*lu1^2 - 208449*lu1^3 + 3409378*lu1^4 + 3987800*lu1^5)*f42[t] + 22*(-27 + 389*lu1 + 2773*lu1^2 - 31221*lu1^3 + 71870*lu1^4 + 23800*lu1^5)*g22[t] - Sqrt[3]*(-447 + 83*lu1 - 29252*lu1^2 + 207417*lu1^3 + 553433*lu1^4 + 27550*lu1^5)*g42[t]) - 60345*Sqrt[70]*f42n[t]*g42n[t] - 303480*Sqrt[70]*lu1*f42n[t]* g42n[t] - 1887975*Sqrt[70]*lu1^2*f42n[t]*g42n[t] + 27221670*Sqrt[70]*lu1^3*f42n[t]*g42n[t] + 73434870*Sqrt[70]*lu1^4* f42n[t]*g42n[t] + 25803900*Sqrt[70]*lu1^5*f42n[t]*g42n[t] + 13*Sqrt[70]*f22n[t]*(3*Sqrt[3]*(-450 + 15679*lu1 - 89206*lu1^2 - 208449*lu1^3 + 3409378*lu1^4 + 3987800*lu1^5)*f42n[t] + 22*(-27 + 389*lu1 + 2773*lu1^2 - 31221*lu1^3 + 71870*lu1^4 + 23800*lu1^5)*g22n[t] - Sqrt[3]*(-447 + 83*lu1 - 29252*lu1^2 + 207417*lu1^3 + 553433*lu1^4 + 27550*lu1^5)*g42n[t]) - 30030*Sqrt[Pi]*g44[t] + 310310*lu1*Sqrt[Pi]*g44[t] + 4914910*lu1^2*Sqrt[Pi]*g44[t] - 20210190*lu1^3*Sqrt[Pi]*g44[t] - 89449360*lu1^4*Sqrt[Pi]*g44[t] - 64664600*lu1^5*Sqrt[Pi]*g44[t] - 81354*Sqrt[5]*f20[t]*g44[t] + 15106*Sqrt[5]*lu1*f20[t]*g44[t] - 5323864*Sqrt[5]*lu1^2*f20[t]*g44[t] + 37749894*Sqrt[5]*lu1^3*f20[t]* g44[t] + 100724806*Sqrt[5]*lu1^4*f20[t]*g44[t] + 5014100*Sqrt[5]*lu1^5*f20[t]*g44[t] + 281610*f40[t]*g44[t] + 1416240*lu1*f40[t]*g44[t] + 8810550*lu1^2*f40[t]*g44[t] - 127034460*lu1^3*f40[t]*g44[t] - 342696060*lu1^4*f40[t]*g44[t] - 120418200*lu1^5*f40[t]*g44[t]))/(231231*(-9 + 51*lu1 + 38*lu1^2)* (-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)^2*Pi) + ((10*(-1 + 26*lu1)*mar*f20[t]^2*(f44[t] - I*f44n[t]))/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(-1 + 26*lu1)*mar* (f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t]))/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) + (10*(-1 + 26*lu1)*mar*f40[t]^2* (f44[t] - I*f44n[t]))/((-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(-1 + 26*lu1)*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]))/((-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(-1 + 26*lu1)*mar*(f44[t] - I*f44n[t])^2*(f44[t] + I*f44n[t]))/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) + (10*(-1 + 5*lu1)*mar*f20[t]* (f44[t] - I*f44n[t])*(10*(-3 - 13*lu1 + 16*lu1^2)*f20[t] + (39 + 61*lu1 - 84*lu1^2)*g20[t]))/((3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (25*mar*(f22[t] - I*f22n[t])^2* ((-6 + 22*lu1 + 8*lu1^2)*f20[t] + (3 - 3*lu1 - 8*lu1^2)*g20[t]))/ (Sqrt[14]*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (225*Sqrt[3/14]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-6 + 22*lu1 + 8*lu1^2)*f20[t] + (3 - 3*lu1 - 8*lu1^2)*g20[t]))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (5*Sqrt[2/21]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-19 + 359*lu1 + 44*lu1^2)*f20[t] + (-29 - 76*lu1 + 89*lu1^2)* g20[t]))/((-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (45*Sqrt[2/7]*mar*(f42[t] - I*f42n[t])^2*((-19 + 359*lu1 + 44*lu1^2)* f20[t] + (-29 - 76*lu1 + 89*lu1^2)*g20[t]))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (Sqrt[14/3]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*f20[t] + (-36 - 9*lu1 + 101*lu1^2)* g20[t]))/(11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (45*Sqrt[14]*mar*(f42[t] - I*f42n[t])^2*(3*(9 + 11*lu1 + 36*lu1^2)* f20[t] + (-36 - 9*lu1 + 101*lu1^2)*g20[t]))/ (143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (12*mar*f20[t]*(f44[t] - I*f44n[t])*(3*(9 + 11*lu1 + 36*lu1^2)* f20[t] + (-36 - 9*lu1 + 101*lu1^2)*g20[t]))/ (11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (108*Sqrt[5]*mar*f40[t]*(f44[t] - I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*f20[t] + (-36 - 9*lu1 + 101*lu1^2)* g20[t]))/(143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (125*lu1*mar*(f22[t] - I*f22n[t])^2* ((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*f20[t] + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*g20[t]))/ (2*Sqrt[14]*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (1125*Sqrt[3/14]*lu1*mar*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)* f20[t] + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*g20[t]))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (25*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])^2* ((42 + 32*lu1 + 514*lu1^2 + 36*lu1^3)*f20[t] - (57 + 18*lu1 - 17*lu1^2 + 150*lu1^3)*g20[t]))/ (2*Sqrt[14]*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (75*Sqrt[3/14]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (2*(-273 - 48*lu1 - 589*lu1^2 + 310*lu1^3)*f20[t] + (549 + 362*lu1 - 765*lu1^2 + 254*lu1^3)*g20[t]))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (30*lu1*mar*f20[t]*(f44[t] - I*f44n[t])* (4*(-516 - 3715*lu1 - 1333*lu1^2 + 7916*lu1^3)*f20[t] + (3837 + 4600*lu1 - 5899*lu1^2 + 598*lu1^3)*g20[t]))/ (11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) + (270*Sqrt[5]*lu1*mar*f40[t]*(f44[t] - I*f44n[t])* (4*(-516 - 3715*lu1 - 1333*lu1^2 + 7916*lu1^3)*f20[t] + (3837 + 4600*lu1 - 5899*lu1^2 + 598*lu1^3)*g20[t]))/ (143*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) + (6*(-1 + 5*lu1)*mar*f20[t]*(f44[t] - I*f44n[t])* (2*(-129 - 745*lu1 + 218*lu1^2 + 4184*lu1^3)*f20[t] + (519 - 370*lu1 - 943*lu1^2 + 3146*lu1^3)*g20[t]))/ (11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) - (18*Sqrt[5]*(-1 + 5*lu1)*mar*f40[t]* (f44[t] - I*f44n[t])*(2*(-1353 - 6421*lu1 - 2818*lu1^2 + 18824*lu1^3)*f20[t] + (4623 + 1886*lu1 - 9087*lu1^2 + 8066*lu1^3)* g20[t]))/(143*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) + (675*Sqrt[2/7]*lu1*mar*(f42[t] - I*f42n[t])^2* (2*(-3066 + 24523*lu1 - 32652*lu1^2 - 78681*lu1^3 + 836*lu1^4)* f20[t] + (1749 - 10580*lu1 + 16219*lu1^2 + 41854*lu1^3 - 21242*lu1^4)*g20[t]))/(143*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (15*Sqrt[2/7]*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])^2* (2*(20076 - 287284*lu1 + 4999*lu1^2 + 517561*lu1^3 + 37388*lu1^4)* f20[t] + 5*(4710 + 33541*lu1 - 20349*lu1^2 - 69768*lu1^3 + 25378*lu1^4)*g20[t]))/(143*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (10*Sqrt[6/7]*lu1*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((1302 - 195547*lu1 + 51986*lu1^2 + 491807*lu1^3 + 115812*lu1^4)* f20[t] + (17994 + 62851*lu1 - 50323*lu1^2 - 107391*lu1^3 + 47189*lu1^4)*g20[t]))/(11*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (Sqrt[2/21]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (2*(777 - 136667*lu1 + 270611*lu1^2 + 665087*lu1^3 + 99412*lu1^4)* f20[t] + (22683 + 40567*lu1 - 232176*lu1^2 - 174492*lu1^3 + 222178*lu1^4)*g20[t]))/(11*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (10*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (10*(-3 - 13*lu1 + 16*lu1^2)*(f22[t] - I*f22n[t]) + (39 + 61*lu1 - 84*lu1^2)*(g22[t] - I*g22n[t])))/ ((3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (25*mar*f20[t]*(f22[t] - I*f22n[t])*((-6 + 22*lu1 + 8*lu1^2)* (f22[t] - I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)* (g22[t] - I*g22n[t])))/(Sqrt[14]*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (225*Sqrt[3/14]*mar*f20[t]*(f42[t] - I*f42n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] - I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (45*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] - I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (5*Sqrt[5/14]*mar*(f22[t] - I*f22n[t])*f40[t]* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] - I*g22n[t])))/ (3*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (15*Sqrt[15/14]*mar*f40[t]*(f42[t] - I*f42n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (15*Sqrt[3]*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (Sqrt[70]*mar*(f22[t] - I*f22n[t])*f40[t]* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (33*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (2*Sqrt[42]*mar*f20[t]*(f42[t] - I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (3*Sqrt[210]*mar*f40[t]*(f42[t] - I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (13*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (30*Sqrt[3]*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (2*(-471 - 3348*lu1 + 665*lu1^2 + 2554*lu1^3)*(f22[t] - I*f22n[t]) + (1539 + 3002*lu1 - 2415*lu1^2 - 1726*lu1^3)*(g22[t] - I*g22n[t])))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (225*lu1*mar*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*((-342 - 3156*lu1 + 350*lu1^2 + 2188*lu1^3)* (f22[t] - I*f22n[t]) + (639 + 1332*lu1 - 945*lu1^2 - 706*lu1^3)* (g22[t] - I*g22n[t])))/(22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (125*lu1*mar*f20[t]*(f22[t] - I*f22n[t])* ((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*(f22[t] - I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*(g22[t] - I*g22n[t])))/ (2*Sqrt[14]*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (1125*Sqrt[3/14]*lu1*mar*f20[t]* (f42[t] - I*f42n[t])*((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)* (f22[t] - I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)* (g22[t] - I*g22n[t])))/(22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (25*(-1 + 5*lu1)*mar*f20[t]* (f22[t] - I*f22n[t])*((42 + 32*lu1 + 514*lu1^2 + 36*lu1^3)* (f22[t] - I*f22n[t]) - (57 + 18*lu1 - 17*lu1^2 + 150*lu1^3)* (g22[t] - I*g22n[t])))/(2*Sqrt[14]*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (75*Sqrt[3/14]*(-1 + 5*lu1)*mar*f20[t]*(f42[t] - I*f42n[t])* (2*(-273 - 48*lu1 - 589*lu1^2 + 310*lu1^3)*(f22[t] - I*f22n[t]) + (549 + 362*lu1 - 765*lu1^2 + 254*lu1^3)*(g22[t] - I*g22n[t])))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (5*Sqrt[42]*lu1*mar*f20[t]*(f42[t] - I*f42n[t])* (4*(-516 - 3715*lu1 - 1333*lu1^2 + 7916*lu1^3)* (f22[t] - I*f22n[t]) + (3837 + 4600*lu1 - 5899*lu1^2 + 598*lu1^3)* (g22[t] - I*g22n[t])))/(11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) - (45*Sqrt[210]*lu1*mar*f40[t]* (f42[t] - I*f42n[t])*(4*(-516 - 3715*lu1 - 1333*lu1^2 + 7916*lu1^3)* (f22[t] - I*f22n[t]) + (3837 + 4600*lu1 - 5899*lu1^2 + 598*lu1^3)* (g22[t] - I*g22n[t])))/(143*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) - (Sqrt[42]*(-1 + 5*lu1)*mar*f20[t]*(f42[t] - I*f42n[t])* (2*(-129 - 745*lu1 + 218*lu1^2 + 4184*lu1^3)*(f22[t] - I*f22n[t]) + (519 - 370*lu1 - 943*lu1^2 + 3146*lu1^3)*(g22[t] - I*g22n[t])))/ (11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) + (3*Sqrt[210]*(-1 + 5*lu1)*mar*f40[t]* (f42[t] - I*f42n[t])*(2*(-1353 - 6421*lu1 - 2818*lu1^2 + 18824*lu1^3)*(f22[t] - I*f22n[t]) + (4623 + 1886*lu1 - 9087*lu1^2 + 8066*lu1^3)*(g22[t] - I*g22n[t])))/ (143*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) - (225*Sqrt[3]*lu1*mar*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(4*(-1578 - 61054*lu1 - 1635*lu1^2 + 141927*lu1^3 + 46660*lu1^4)*(f22[t] - I*f22n[t]) + (31035 + 85582*lu1 - 57929*lu1^2 - 113720*lu1^3 + 46072*lu1^4)* (g22[t] - I*g22n[t])))/(286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (225*Sqrt[15/14]*lu1*mar*f40[t]*(f42[t] - I*f42n[t])* (4*(-7770 - 109762*lu1 - 47351*lu1^2 + 226255*lu1^3 + 109988*lu1^4)* (f22[t] - I*f22n[t]) + (77079 + 171478*lu1 - 91917*lu1^2 - 153736*lu1^3 + 50856*lu1^4)*(g22[t] - I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*Sqrt[5/14]*lu1*mar*(f22[t] - I*f22n[t])*f40[t]* (4*(-9534 - 280786*lu1 - 28017*lu1^2 + 639381*lu1^3 + 226636*lu1^4)* (f22[t] - I*f22n[t]) + (152553 + 401722*lu1 - 260771*lu1^2 - 499592*lu1^3 + 197128*lu1^4)*(g22[t] - I*g22n[t])))/ (22*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (2*(3621 - 772289*lu1 - 181666*lu1^2 + 1492646*lu1^3 + 413608*lu1^4)* (f22[t] - I*f22n[t]) + (171921 + 469546*lu1 - 414891*lu1^2 - 643464*lu1^3 + 398968*lu1^4)*(g22[t] - I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (Sqrt[5/14]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*f40[t]*(2*(-6573 - 325687*lu1 + 523666*lu1^2 + 1602922*lu1^3 + 374552*lu1^4)*(f22[t] - I*f22n[t]) + (78063 + 79622*lu1 - 539301*lu1^2 - 190392*lu1^3 + 576488*lu1^4)* (g22[t] - I*g22n[t])))/(66*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*Sqrt[15/14]*(-1 + 5*lu1)*mar*f40[t]*(f42[t] - I*f42n[t])* (2*(-45087 - 1035917*lu1 - 437218*lu1^2 + 2102678*lu1^3 + 865384*lu1^4)*(f22[t] - I*f22n[t]) + (338349 + 648394*lu1 - 696759*lu1^2 - 571176*lu1^3 + 592552*lu1^4)* (g22[t] - I*g22n[t])))/(286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*mar*(f22[t] - I*f22n[t])*(5*(f22[t] - I*f22n[t])* ((-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)*f20[t] + 6*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*g20[t]) + (1179 + 5794*lu1 - 3797*lu1^2 - 10088*lu1^3)*f20[t]* (g22[t] - I*g22n[t])))/(7*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)^2* Pi) + (5*mar*(f22[t] - I*f22n[t])*((f22[t] - I*f22n[t])* (5*(-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)*f20[t] + 2*(516 + 2881*lu1 + 482*lu1^2 - 807*lu1^3)*g20[t]) - (-237 + 448*lu1 + 5511*lu1^2 + 7334*lu1^3)*f20[t]* (g22[t] - I*g22n[t])))/(7*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)^2* Pi) - (5*mar*(f22[t] - I*f22n[t])*((f22[t] - I*f22n[t])* (8*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)*f20[t] + 3*(-21 + 80*lu1 + 4039*lu1^2 + 11390*lu1^3)*g20[t]) - 2*(-19 + 3604*lu1 + 11369*lu1^2 + 40470*lu1^3)*f20[t]* (g22[t] - I*g22n[t])))/(11*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*(12*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)*f20[t] - (147 + 10348*lu1 + 29703*lu1^2 + 116090*lu1^3)*g20[t]) + (219 - 208*lu1 + 27543*lu1^2 + 91870*lu1^3)*f20[t]*(g22[t] - I*g22n[t])))/ (154*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)* Pi) + (5*mar*(f22[t] - I*f22n[t])*(-8*(f22[t] - I*f22n[t])* (3*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)*f20[t] - (-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*g20[t]) + (483 + 19976*lu1 + 23055*lu1^2 + 129670*lu1^3)*f20[t]* (g22[t] - I*g22n[t])))/(154*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (25*lu1*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*(24*(17 - 111*lu1 + 34175*lu1^2 - 128049*lu1^3 + 93392*lu1^4)*f20[t] + (1773 - 12619*lu1 - 311887*lu1^2 + 118891*lu1^3 + 2028610*lu1^4)*g20[t]) + (-4173 + 13493*lu1 - 90553*lu1^2 + 57031*lu1^3 - 4593014*lu1^4)* f20[t]*(g22[t] - I*g22n[t])))/(11*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*((5379 - 131894*lu1 + 1540207*lu1^2 - 2365456*lu1^3 + 1852244*lu1^4)*f20[t] + (-57 + 316*lu1 + 7483*lu1^2 + 33626*lu1^3 + 473960*lu1^4)* g20[t]) - (2055 - 55105*lu1 + 1382603*lu1^2 + 635137*lu1^3 + 760942*lu1^4)*f20[t]*(g22[t] - I*g22n[t])))/ (33*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* ((f22[t] - I*f22n[t])*(2*(-128106 + 2152857*lu1 - 12560983*lu1^2 + 91305231*lu1^3 + 1043329553*lu1^4 - 2648173428*lu1^5 + 3342716*lu1^6)*f20[t] + 3*(24513 - 7942*lu1 + 963760*lu1^2 - 65801370*lu1^3 - 371836165*lu1^4 + 90241456*lu1^5 + 183673476*lu1^6)*g20[t]) + 6*(17397 - 186408*lu1 - 2718070*lu1^2 + 5588100*lu1^3 + 73184885*lu1^4 + 120761964*lu1^5 + 29899844*lu1^6)*f20[t]*(g22[t] - I*g22n[t])))/ (462*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) - (25*lu1*mar*(f22[t] - I*f22n[t])* ((f22[t] - I*f22n[t])*(6*(6207 - 5068*lu1 + 2777542*lu1^2 - 39186964*lu1^3 - 217534337*lu1^4 + 424590248*lu1^5 + 44122036*lu1^6)*f20[t] + (-34665 - 606136*lu1 - 203974*lu1^2 + 159779608*lu1^3 + 776786419*lu1^4 + 515697912*lu1^5 + 505272804*lu1^6)*g20[t]) - 4*(-3345 + 73082*lu1 + 92408*lu1^2 - 15020606*lu1^3 + 20353957*lu1^4 + 302686356*lu1^5 + 404866212*lu1^6)*f20[t]*(g22[t] - I*g22n[t])))/ (154*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) - (75*lu1*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*((6207 - 5068*lu1 + 2777542*lu1^2 - 39186964*lu1^3 - 217534337*lu1^4 + 424590248*lu1^5 + 44122036*lu1^6)*f20[t] + 2*(-54 + 7977*lu1 + 2837*lu1^2 + 319251*lu1^3 - 4500487*lu1^4 - 445704*lu1^5 + 19877876*lu1^6)* g20[t]) - (6879 + 331396*lu1 + 202550*lu1^2 - 72010340*lu1^3 - 249792145*lu1^4 + 229899688*lu1^5 + 450908852*lu1^6)*f20[t]* (g22[t] - I*g22n[t])))/(154*Sqrt[14]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*((-128106 + 2152857*lu1 - 12560983*lu1^2 + 91305231*lu1^3 + 1043329553*lu1^4 - 2648173428*lu1^5 + 3342716*lu1^6)*f20[t] - 2*(-3069 + 79986*lu1 - 26708*lu1^2 + 155106*lu1^3 - 24661307*lu1^4 + 32725716*lu1^5 + 168520804*lu1^6)*g20[t]) + (165645 - 822330*lu1 - 13523972*lu1^2 - 163255086*lu1^3 - 775044413*lu1^4 + 1126199016*lu1^5 + 1404502708*lu1^6)*f20[t]* (g22[t] - I*g22n[t])))/(462*Sqrt[14]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (10*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (10*(-3 - 13*lu1 + 16*lu1^2)*(f22[t] + I*f22n[t]) + (39 + 61*lu1 - 84*lu1^2)*(g22[t] + I*g22n[t])))/ ((3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] + I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] + I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (5*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] + I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] + I*g22n[t])))/ (3*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (30*Sqrt[3]*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] + I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] + I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (2*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] + I*g22n[t])))/ (33*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (60*Sqrt[3]*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] + I*g22n[t])))/ (143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (2*(-471 - 3348*lu1 + 665*lu1^2 + 2554*lu1^3)*(f22[t] + I*f22n[t]) + (1539 + 3002*lu1 - 2415*lu1^2 - 1726*lu1^3)*(g22[t] + I*g22n[t])))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (225*lu1*mar*(f22[t] - I*f22n[t])* (f44[t] - I*f44n[t])*((-342 - 3156*lu1 + 350*lu1^2 + 2188*lu1^3)* (f22[t] + I*f22n[t]) + (639 + 1332*lu1 - 945*lu1^2 - 706*lu1^3)* (g22[t] + I*g22n[t])))/(22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (225*Sqrt[3]*lu1*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (4*(-1578 - 61054*lu1 - 1635*lu1^2 + 141927*lu1^3 + 46660*lu1^4)* (f22[t] + I*f22n[t]) + (31035 + 85582*lu1 - 57929*lu1^2 - 113720*lu1^3 + 46072*lu1^4)*(g22[t] + I*g22n[t])))/ (143*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*lu1*mar*(f22[t] - I*f22n[t])* (f44[t] - I*f44n[t])*(4*(-3342 - 232078*lu1 + 17699*lu1^2 + 555053*lu1^3 + 163308*lu1^4)*(f22[t] + I*f22n[t]) + (106509 + 315826*lu1 - 226783*lu1^2 - 459576*lu1^3 + 192344*lu1^4)* (g22[t] + I*g22n[t])))/(22*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (2*(3621 - 772289*lu1 - 181666*lu1^2 + 1492646*lu1^3 + 413608*lu1^4)* (f22[t] + I*f22n[t]) + (171921 + 469546*lu1 - 414891*lu1^2 - 643464*lu1^3 + 398968*lu1^4)*(g22[t] + I*g22n[t])))/ (143*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + ((-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (2*(-1929 - 295771*lu1 + 533698*lu1^2 + 1447066*lu1^3 + 274136*lu1^4)*(f22[t] + I*f22n[t]) + (59379 + 80486*lu1 - 496473*lu1^2 - 281016*lu1^3 + 500984*lu1^4)* (g22[t] + I*g22n[t])))/(66*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*Sqrt[5/14]*mar*(f22[t] - I*f22n[t])^2*((-50 + 4*lu1)*f40[t] + 7*(1 + lu1)*g40[t]))/(3*(3 + 32*lu1 + 20*lu1^2)*Pi) - (15*Sqrt[15/14]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-50 + 4*lu1)*f40[t] + 7*(1 + lu1)*g40[t]))/ (11*(3 + 32*lu1 + 20*lu1^2)*Pi) - (Sqrt[70]*mar*(f22[t] - I*f22n[t])^2*(4*(-17 + 323*lu1 + 16*lu1^2)* f40[t] + (16 - 115*lu1 - 293*lu1^2)*g40[t]))/ (33*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (15*Sqrt[210]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*f40[t] + (16 - 115*lu1 - 293*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (100*(-1 + 5*lu1)*mar*f40[t]*(f44[t] - I*f44n[t])* ((46 - 394*lu1 + 532*lu1^2)*f40[t] + (13 + 215*lu1 - 284*lu1^2)* g40[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (315*Sqrt[70]*mar*(f42[t] - I*f42n[t])^2*((47 - 1265*lu1 + 794*lu1^2)* f40[t] + 9*(-3 + lu1 + 58*lu1^2)*g40[t]))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (525*mar*f40[t]*(f44[t] - I*f44n[t])*((47 - 1265*lu1 + 794*lu1^2)* f40[t] + 9*(-3 + lu1 + 58*lu1^2)*g40[t]))/ (1859*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (5*Sqrt[15/14]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*f40[t] + 7*(-5 - 61*lu1 + 106*lu1^2)* g40[t]))/(11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (135*Sqrt[5/14]*mar*(f42[t] - I*f42n[t])^2* ((-95 + 497*lu1 + 2374*lu1^2)*f40[t] + 7*(-5 - 61*lu1 + 106*lu1^2)* g40[t]))/(121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (Sqrt[210]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (135*Sqrt[70]*mar*(f42[t] - I*f42n[t])^2*((-41 - 817*lu1 + 1978*lu1^2)* f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)*g40[t]))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (36*Sqrt[5]*mar*f20[t]*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (1620*mar*f40[t]*(f44[t] - I*f44n[t])*((-41 - 817*lu1 + 1978*lu1^2)* f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)*g40[t]))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (90*Sqrt[5]*lu1*mar*f20[t]*(f44[t] - I*f44n[t])* (2*(11742 - 83339*lu1 - 130117*lu1^2 + 233074*lu1^3)*f40[t] + (6789 + 107456*lu1 - 68105*lu1^2 - 2236*lu1^3)*g40[t]))/ (143*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (18*Sqrt[5]*(-1 + 5*lu1)*mar*f20[t]*(f44[t] - I*f44n[t])* (2*(1837 - 15194*lu1 - 30577*lu1^2 + 67454*lu1^3)*f40[t] + (923 + 14300*lu1 - 20099*lu1^2 + 37804*lu1^3)*g40[t]))/ (143*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[5/14]*lu1*mar*(f22[t] - I*f22n[t])^2* (2*(115431 - 460341*lu1 - 2990114*lu1^2 - 847024*lu1^3 + 1451488*lu1^4)*f40[t] + (77943 + 1246608*lu1 + 1311461*lu1^2 - 510500*lu1^3 - 463432*lu1^4)*g40[t]))/(22*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (225*Sqrt[15/14]*lu1*mar* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (2*(50793 - 118419*lu1 - 1559062*lu1^2 - 305504*lu1^3 + 644192*lu1^4)*f40[t] + (40521 + 583008*lu1 + 573787*lu1^2 - 208828*lu1^3 - 204488*lu1^4)*g40[t]))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (225*lu1*mar*f40[t]*(f44[t] - I*f44n[t])* (2*(552702 - 1951955*lu1 - 16715225*lu1^2 - 3694810*lu1^3 + 23949608*lu1^4)*f40[t] - 9*(-41961 - 672926*lu1 - 845703*lu1^2 + 585494*lu1^3 + 118968*lu1^4)*g40[t]))/ (3718*(3 + 10*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[15/14]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(2*(84051 + 1101527*lu1 - 6013674*lu1^2 - 3388272*lu1^3 + 2124128*lu1^4)*f40[t] + (159435 + 1532116*lu1 + 1477701*lu1^2 + 358980*lu1^3 + 180088*lu1^4)*g40[t]))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (Sqrt[5/14]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])^2*(2*(60273 - 137627*lu1 - 3587622*lu1^2 - 2783328*lu1^3 + 871264*lu1^4)*f40[t] + (39033 + 597860*lu1 + 1152303*lu1^2 + 1080060*lu1^3 + 525464*lu1^4)* g40[t]))/(66*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) + (15*Sqrt[15/14]*lu1*mar*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(2*(279042 - 2590581*lu1 - 2549723*lu1^2 + 5523326*lu1^3 + 7026736*lu1^4)*f40[t] + (95079 + 2375022*lu1 + 1168409*lu1^2 - 3718166*lu1^3 + 753896*lu1^4)*g40[t]))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*(-1 + 5*lu1)*mar*f40[t]* (f44[t] - I*f44n[t])*(2*(165861 - 488444*lu1 - 5824751*lu1^2 - 1953994*lu1^3 + 9142088*lu1^4)*f40[t] + 3*(41029 + 597512*lu1 + 489525*lu1^2 - 451178*lu1^3 + 985976*lu1^4)* g40[t]))/(3718*(3 + 10*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(2*(165231 - 1557248*lu1 - 546549*lu1^2 + 7629438*lu1^3 + 9082768*lu1^4)*f40[t] + (67509 + 1402076*lu1 - 764787*lu1^2 - 2839926*lu1^3 + 3142568*lu1^4)*g40[t]))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (675*Sqrt[5/14]*lu1*mar* (f42[t] - I*f42n[t])^2*(2*(-874134 + 4933323*lu1 + 8965007*lu1^2 + 26099888*lu1^3 + 27901516*lu1^4 + 40121440*lu1^5)*f40[t] + 3*(-178095 - 3090156*lu1 - 1680349*lu1^2 + 4723364*lu1^3 - 9074204*lu1^4 + 2572720*lu1^5)*g40[t]))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])^2* (2*(1063917 - 13401134*lu1 - 62025391*lu1^2 - 26149884*lu1^3 + 66670132*lu1^4 + 114103520*lu1^5)*f40[t] + (-332649 + 5124506*lu1 + 41361679*lu1^2 + 11898156*lu1^3 - 103700812*lu1^4 + 11204080*lu1^5)*g40[t]))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (Sqrt[5/14]*mar*(f22[t] - I*f22n[t])* ((97 + 2249*lu1 + 12790*lu1^2)*f40[t]*(g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])*((-1007 + 6741*lu1 + 6830*lu1^2)*f40[t] + (43 - 1869*lu1 - 2830*lu1^2)*g40[t])))/ (42*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) - (45*Sqrt[5/14]*mar*(f22[t] - I*f22n[t])* (2*(9 + 524*lu1 + 3333*lu1^2 + 10342*lu1^3)*f40[t]* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*f40[t] + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*g40[t])))/ (143*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (Sqrt[5/14]*mar*(f22[t] - I*f22n[t])* ((12763 + 67208*lu1 + 49551*lu1^2 - 112626*lu1^3)*f40[t]* (g22[t] - I*g22n[t]) + 20*(f22[t] - I*f22n[t])* ((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*f40[t] + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*g40[t])))/ (42*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (5*Sqrt[35/2]*mar*(f22[t] - I*f22n[t])* (-((1905 + 178808*lu1 + 310117*lu1^2 + 1768242*lu1^3)*f40[t]* (g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])* ((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*f40[t] - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*g40[t])))/ (9438*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (3*Sqrt[5/14]*mar*(f22[t] - I*f22n[t])* ((85407 + 1508158*lu1 + 849903*lu1^2 - 2751820*lu1^3)*f40[t]* (g22[t] - I*g22n[t]) + 12*(f22[t] - I*f22n[t])* ((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*f40[t] - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*g40[t])))/ (1694*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (15*Sqrt[5/14]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* ((5121 + 6341*lu1 - 78451*lu1^2 - 225149*lu1^3 + 1017898*lu1^4)* f40[t]*(g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* ((-1044 - 4157*lu1 - 177680*lu1^2 + 1124771*lu1^3 + 1165310*lu1^4)* f40[t] + (-111 + 2356*lu1 + 21997*lu1^2 - 148186*lu1^3 - 363736*lu1^4)*g40[t])))/(143*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (135*Sqrt[5/14]*lu1*mar* (f22[t] - I*f22n[t])*(3*(2281 + 17287*lu1 - 330219*lu1^2 - 471203*lu1^3 + 1354270*lu1^4)*f40[t]*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(5*(-2499 + 11362*lu1 - 103031*lu1^2 + 1000964*lu1^3 + 971732*lu1^4)*f40[t] - (5061 + 43622*lu1 - 572959*lu1^2 + 143752*lu1^3 + 2847340*lu1^4)* g40[t])))/(143*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^ 2*Pi) + (3*Sqrt[5/14]*mar*(f22[t] - I*f22n[t])* (5*(-1929 + 17167*lu1 + 291821*lu1^2 - 621183*lu1^3 + 2279080*lu1^4 + 12160100*lu1^5)*f40[t]*(g22[t] - I*g22n[t]) + 6*(f22[t] - I*f22n[t])*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*f40[t] + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*g40[t])))/ (1694*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[35/2]*mar*(f22[t] - I*f22n[t])* ((-5613 + 29155*lu1 + 1307769*lu1^2 + 1369725*lu1^3 - 59417168*lu1^4 - 276225180*lu1^5)*f40[t]*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*f40[t] - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*g40[t])))/(9438*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (5*Sqrt[5/14]*lu1*mar*(f22[t] - I*f22n[t])* (22*(-245379 - 12477490*lu1 + 100361582*lu1^2 + 4534622460*lu1^3 - 6318877039*lu1^4 - 326678601850*lu1^5 + 185985701100*lu1^6 + 2922473757000*lu1^7)*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(77633388 + 1404911759*lu1 - 23449281611*lu1^2 + 141627939907*lu1^3 + 3325749085303*lu1^4 - 57272556786518*lu1^5 + 156008719779940*lu1^6 + 490539364939400*lu1^7)*f40[t] + (72074451 + 2483358642*lu1 + 15282203840*lu1^2 - 204943458894*lu1^3 - 720552037127*lu1^4 + 19231862600972*lu1^5 - 83614306286460*lu1^6 - 231648729737600* lu1^7)*g40[t])))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (Sqrt[5/14]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (22*(66441 - 12460205*lu1 - 63703203*lu1^2 + 4944681605*lu1^3 - 1189641794*lu1^4 - 287818073940*lu1^5 + 2040182288600*lu1^6 + 5301467136000*lu1^7)*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(-106767681 + 2318378760*lu1 + 64077838900*lu1^2 - 729327061278*lu1^3 + 2620985873153*lu1^4 - 35439151369874*lu1^5 + 114770063743020*lu1^6 + 429299107416200*lu1^7)*f40[t] + (28685277 + 301038470*lu1 + 21471403520*lu1^2 + 643150288798*lu1^3 - 566812720713*lu1^4 - 14412494103604*lu1^5 - 100070907777380*lu1^6 - 125245255872800*lu1^7)*g40[t])))/ (66066*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[5/14]*lu1*mar*(f22[t] - I*f22n[t])* (-((117646719 + 6164577488*lu1 + 116937108114*lu1^2 + 317548913512*lu1^3 - 10563440455109*lu1^4 - 32814637927024* lu1^5 + 6159317204060*lu1^6 + 65385018739600*lu1^7)*f40[t]* (g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])* ((99543585 + 2283546118*lu1 + 41363691104*lu1^2 + 383594468102*lu1^ 3 - 4796715767869*lu1^4 - 18936751690492*lu1^5 - 21431606888020*lu1^6 + 13663664896000*lu1^7)*f40[t] + 120*(-53748 - 890481*lu1 + 9057627*lu1^2 + 206480041*lu1^3 - 748116007*lu1^4 - 5877372732*lu1^5 + 7940479060*lu1^6 + 30441795440*lu1^7)*g40[t])))/(22022*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (Sqrt[5/14]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (-((344668377 + 7329337486*lu1 + 20750417408*lu1^2 + 404485544294*lu1^3 - 8722277863253*lu1^4 - 35041762379780* lu1^5 - 14378915730900*lu1^6 + 52613191752800*lu1^7)*f40[t]* (g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])* ((205375659 + 2220479282*lu1 - 986596064*lu1^2 + 694384995378*lu1^ 3 - 6539577103871*lu1^4 - 16099400970900*lu1^5 - 20597635653020*lu1^6 + 11272898156800*lu1^7)*f40[t] + 60*(-6480 - 1839507*lu1 - 31012819*lu1^2 + 687540413*lu1^3 + 551841119*lu1^4 - 22250810098*lu1^5 + 235502612*lu1^6 + 82012816760*lu1^7)*g40[t])))/(66066*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*mar*((217 + 3329*lu1 + 11590*lu1^2)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* (30*(-1 - 9*lu1 + 10*lu1^2)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((-1007 + 6741*lu1 + 6830*lu1^2)*(f42[t] - I*f42n[t]) + (43 - 1869*lu1 - 2830*lu1^2)*(g42[t] - I*g42n[t])))))/ (14*Sqrt[42]*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) - (5*Sqrt[3/14]*mar*(-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f42[t] - I*f42n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(g42[t] - I*g42n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (5*Sqrt[3/14]*mar*(30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f42[t] - I*f42n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(g42[t] - I*g42n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (5*(-1 + 5*lu1)*mar* (3*(-2061693 + 7710582*lu1 + 273374416*lu1^2 + 364193698*lu1^3 - 972368191*lu1^4 - 1118951944*lu1^5 + 2274114780*lu1^6)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (2*(30987 + 1322592*lu1 - 5609074*lu1^2 - 38339532*lu1^3 - 2480461*lu1^4 + 426449316*lu1^5 + 686189180*lu1^6)* (f42[t] - I*f42n[t])*g20[t] + f20[t]*(3*(258831 + 4200504*lu1 - 41303254*lu1^2 - 1102421232*lu1^3 - 217157941*lu1^4 + 10916622624*lu1^5 + 9548310164*lu1^6)*(f42[t] - I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(6215 + 157411*lu1 + 660038*lu1^2)* (g42[t] - I*g42n[t])))))/(2002*Sqrt[42]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*(-1 + 5*lu1)*mar*(4*(30987 + 1322592*lu1 - 5609074*lu1^2 - 38339532*lu1^3 - 2480461*lu1^4 + 426449316*lu1^5 + 686189180*lu1^6)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (3*(-2061693 + 7710582*lu1 + 273374416*lu1^2 + 364193698*lu1^3 - 972368191*lu1^4 - 1118951944*lu1^5 + 2274114780*lu1^6)* (f42[t] - I*f42n[t])*g20[t] + 2*f20[t]* (3*(258831 + 4200504*lu1 - 41303254*lu1^2 - 1102421232*lu1^3 - 217157941*lu1^4 + 10916622624*lu1^5 + 9548310164*lu1^6)*( f42[t] - I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(6215 + 157411*lu1 + 660038*lu1^2)*(g42[t] - I*g42n[t])))))/ (2002*Sqrt[42]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) + (25*Sqrt[3/14]*lu1*mar*(3*(-1357917 + 2088248*lu1 + 237380954*lu1^2 + 49271392*lu1^3 - 2406017849*lu1^4 - 81086976*lu1^5 + 5693003940*lu1^6)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-6*(-28314 + 137811*lu1 + 204583*lu1^2 - 962751*lu1^3 + 1632667*lu1^4 + 34104168*lu1^5 + 56924380*lu1^6)* (f42[t] - I*f42n[t])*g20[t] + f20[t]*((4041432 - 41019615*lu1 + 204240949*lu1^2 - 3310731273*lu1^3 + 1899357931*lu1^4 + 32705262012*lu1^5 + 31156407604*lu1^6)*(f42[t] - I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(-20977 - 272039*lu1 + 1349336*lu1^2)*(g42[t] - I*g42n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (25*Sqrt[3/14]*lu1*mar*(-12*(-28314 + 137811*lu1 + 204583*lu1^2 - 962751*lu1^3 + 1632667*lu1^4 + 34104168*lu1^5 + 56924380*lu1^6)* f20[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(3*(-1357917 + 2088248*lu1 + 237380954*lu1^2 + 49271392*lu1^3 - 2406017849*lu1^4 - 81086976*lu1^5 + 5693003940*lu1^6)*(f42[t] - I*f42n[t])*g20[t] + 2*f20[t]*((4041432 - 41019615*lu1 + 204240949*lu1^2 - 3310731273*lu1^3 + 1899357931*lu1^4 + 32705262012*lu1^5 + 31156407604*lu1^6)*(f42[t] - I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(-20977 - 272039*lu1 + 1349336*lu1^2)*(g42[t] - I*g42n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (675*Sqrt[3/14]*mar*(2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*(f42[t] - I*f42n[t])* g20[t] + f20[t]*(2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*( f42[t] - I*f42n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(g42[t] - I*g42n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (675*Sqrt[3/14]*mar*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*(f42[t] - I*f42n[t])* g20[t] + f20[t]*(2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*( f42[t] - I*f42n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(g42[t] - I*g42n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*((-231 + 464*lu1 + 5253*lu1^2 + 6802*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) - 4*(f22[t] - I*f22n[t])* ((3133 + 16918*lu1 + 13701*lu1^2 - 26456*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + 5*f20[t]*((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*(f42[t] - I*f42n[t]) + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*(g42[t] - I*g42n[t])))))/ (14*Sqrt[42]*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (5*Sqrt[7/6]*mar*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)* f20[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(-14*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*( f42[t] - I*f42n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g42[t] - I*g42n[t])))))/ (1573*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (25*Sqrt[21/2]*mar*(-28*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)* f20[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)*(f42[t] - I*f42n[t])*g20[t] + 2*f20[t]*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*( f42[t] - I*f42n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g42[t] - I*g42n[t])))))/ (3146*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (mar*(2*(-41601 - 757679*lu1 - 641199*lu1^2 + 675935*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 3*(f22[t] - I*f22n[t])* (15*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)* (f42[t] - I*f42n[t])*g20[t] - 4*f20[t]*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f42[t] - I*f42n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g42[t] - I*g42n[t])))))/(121*Sqrt[42]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (Sqrt[2/21]*mar*(-45*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + 6*f20[t]*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f42[t] - I*f42n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g42[t] - I*g42n[t])))))/(847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (mar*(-220*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 3*(f22[t] - I*f22n[t])* (75*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(f42[t] - I*f42n[t])* g20[t] + 2*f20[t]*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f42[t] - I*f42n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g42[t] - I*g42n[t])))))/(121*Sqrt[42]*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (Sqrt[2/21]*mar*(225*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-110*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + 3*f20[t]*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f42[t] - I*f42n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g42[t] - I*g42n[t])))))/ (847*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[7/6]*mar*(-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])* (-924*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f42[t] - I*f42n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g42[t] - I*g42n[t])))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (25*Sqrt[21/2]*mar*(-1848*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f42[t] - I*f42n[t])*g20[t]) + 2*f20[t]*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f42[t] - I*f42n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g42[t] - I*g42n[t])))))/ (3146*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - ((-1 + 5*lu1)*mar*(4*(4087602 + 68474325*lu1 + 1781108111*lu1^2 + 32797352693*lu1^3 + 16105207435*lu1^4 - 16765136150*lu1^5)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-11*(626061 + 10591537*lu1 - 203838929*lu1^2 - 2623755193*lu1^3 - 1075343200*lu1^4 + 4473888300*lu1^5)*(f42[t] - I*f42n[t])* g20[t] + 2*f20[t]*((-11128119 + 255092719*lu1 - 5721218781* lu1^2 - 137694550715*lu1^3 + 278067324900*lu1^4 + 160568117500*lu1^5)*(f42[t] - I*f42n[t]) - 180*(-2217 + 70831*lu1 - 1305651*lu1^2 - 7208655*lu1^3 + 61473144*lu1^4 + 140131460*lu1^5)*(g42[t] - I*g42n[t])))))/ (3146*Sqrt[42]*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[3/14]*lu1*mar* (4*(4623297 + 108049970*lu1 + 1801804166*lu1^2 + 18385049388*lu1^3 + 13966593545*lu1^4 + 17059495250*lu1^5)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-55*(184053 + 2877457*lu1 - 64618857*lu1^2 - 706192393*lu1^3 + 899033600*lu1^4 + 4621448300*lu1^5)*(f42[t] - I*f42n[t])* g20[t] + 2*f20[t]*((-13843563 + 115682971*lu1 - 5046714465* lu1^2 - 86616895943*lu1^3 + 132321954300*lu1^4 + 62141218300*lu1^5)*(f42[t] - I*f42n[t]) - 60*(-16110 + 143211*lu1 + 113800*lu1^2 - 15128237*lu1^3 + 54363404*lu1^4 + 167343260*lu1^5)*(g42[t] - I*g42n[t])))))/ (3146*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[3/14]*lu1*mar* (-385*(-441711 - 5325678*lu1 + 187065554*lu1^2 + 1255222416*lu1^3 - 10752584375*lu1^4 - 31661516386*lu1^5 + 68793216300*lu1^6 + 164398666600*lu1^7)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* ((24743877 + 42041828*lu1 - 14057320476*lu1^2 + 204267231902*lu1^ 3 + 4579954622371*lu1^4 + 19121309258022*lu1^5 + 13035403226660*lu1^6 - 27534459026200*lu1^7)* (f42[t] - I*f42n[t])*g20[t] + f20[t]* ((-1012299 - 894114368*lu1 + 1859707156*lu1^2 + 53771001558* lu1^3 - 1980989400701*lu1^4 - 31440919572126*lu1^5 - 76332796631420*lu1^6 + 16758630169400*lu1^7)*(f42[t] - I*f42n[t]) + 15*(-453150 - 4242255*lu1 + 153527859*lu1^2 + 1817197377*lu1^3 - 4719934469*lu1^4 - 92260063742*lu1^5 + 67589944244*lu1^6 + 442511902280*lu1^7)*(g42[t] - I*g42n[t])))))/(22022*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + ((-1 + 5*lu1)*mar*(77*(2015343 + 23004828*lu1 - 852766456*lu1^2 - 4992571818*lu1^3 + 45812668781*lu1^4 + 72366076614*lu1^5 - 30665047300*lu1^6 + 67085226600*lu1^7)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) - 4*(f22[t] - I*f22n[t])* ((-37131918 - 1085863547*lu1 + 6957092359*lu1^2 + 501124310557*lu1^ 3 + 4097031091911*lu1^4 + 19913873332002*lu1^5 + 20916441182420*lu1^6 - 34295621859800*lu1^7)* (f42[t] - I*f42n[t])*g20[t] + f20[t]* ((58184043 + 820612814*lu1 - 14033195058*lu1^2 - 511527960584* lu1^3 - 1754507380437*lu1^4 - 19948725917510*lu1^5 - 95648476889820*lu1^6 + 11264044311800*lu1^7)*(f42[t] - I*f42n[t]) + 15*(39717 - 2292396*lu1 - 103874548*lu1^2 + 2140846946*lu1^3 + 18630034883*lu1^4 - 170630061382*lu1^5 - 112433531260*lu1^6 + 569267722520*lu1^7)*(g42[t] - I*g42n[t])))))/(22022*Sqrt[42]*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[3/14]*lu1*mar*(1760*(2682 - 86391*lu1 - 665959*lu1^2 + 22204467*lu1^3 + 80126029*lu1^4 - 1062669952*lu1^5 - 805309500*lu1^6 + 2910359200*lu1^7)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (55*(-1 + 7*lu1 + 170*lu1^2)^2*(-230757 - 5653412*lu1 - 5529141*lu1^2 + 17486910*lu1^3)*(f42[t] - I*f42n[t])*g20[t] + 2*f20[t]*((15929697 + 657931342*lu1 - 14590593922*lu1^2 + 57238011476*lu1^3 + 1607948300237*lu1^4 - 17621017163314* lu1^5 + 60780942911420*lu1^6 + 173837309468200*lu1^7)*( f42[t] - I*f42n[t]) - 3*(-3083271 - 76456786*lu1 - 642699196*lu1^2 + 9196457802*lu1^3 + 3176886583*lu1^4 - 1247374236616*lu1^5 + 5078623709580*lu1^6 + 15008948334800* lu1^7)*(g42[t] - I*g42n[t])))))/ (3146*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + ((-1 + 5*lu1)*mar*(77*(-1 + 7*lu1 + 170*lu1^2)^2* (-55911 + 1560086*lu1 + 70224811*lu1^2 + 78921990*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* (110*(23157 - 40254*lu1 - 8937482*lu1^2 - 15225120*lu1^3 + 1548958121*lu1^4 - 897237386*lu1^5 - 114398289780*lu1^6 + 25025961800*lu1^7)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((-3461907 - 573897770*lu1 - 5631347790*lu1^2 + 278322669524*lu1^3 - 1928285791499*lu1^4 - 6534862180098* lu1^5 + 42567065595740*lu1^6 + 165633079991400*lu1^7)*( f42[t] - I*f42n[t]) - (6763518 + 261350795*lu1 + 2540796475*lu1^2 - 1823699243*lu1^3 - 701735916977*lu1^4 + 2359406643964*lu1^5 + 40892258831980*lu1^6 + 27577628346800* lu1^7)*(g42[t] - I*g42n[t])))))/(22022*Sqrt[42]* (-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)* Pi) + ((-1 + 5*lu1)*mar*(880*(3384 - 204795*lu1 + 106787*lu1^2 + 61802493*lu1^3 - 156581507*lu1^4 - 4346078782*lu1^5 + 13230579900*lu1^6 + 41620940200*lu1^7)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (11*(-1 + 7*lu1 + 170*lu1^2)^2*(-723669 - 16294556*lu1 + 15648419*lu1^2 + 43333710*lu1^3)*(f42[t] - I*f42n[t])*g20[t] + 2*f20[t]*((-59796453 + 717650060*lu1 + 22329273760*lu1^2 - 155091225914*lu1^3 + 144495443929*lu1^4 - 9275866628282* lu1^5 + 44880267852460*lu1^6 + 167265058658600*lu1^7)*( f42[t] - I*f42n[t]) - (4768497 + 288936690*lu1 - 4571276960*lu1^2 - 161826699042*lu1^3 - 214718538973*lu1^4 + 4234519039216*lu1^5 + 22472838152220*lu1^6 + 28714916577200* lu1^7)*(g42[t] - I*g42n[t])))))/(3146*Sqrt[42]* (-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)* Pi) - (5*Sqrt[3/14]*lu1*mar*(385*(-1 + 7*lu1 + 170*lu1^2)^2* (142395 + 3833624*lu1 + 12324903*lu1^2 + 9329670*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* (-110*(-41634 - 6579*lu1 + 20660383*lu1^2 + 22628829*lu1^3 - 3138184093*lu1^4 - 4215590822*lu1^5 + 145959619380*lu1^6 + 172960193000*lu1^7)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((-33102237 - 717628232*lu1 + 10109867012*lu1^2 + 344499907634*lu1^3 - 3185286026707*lu1^4 - 31784028274786* lu1^5 + 107284455602780*lu1^6 + 292503100913800*lu1^7)*( f42[t] - I*f42n[t]) - (8191173 + 313079313*lu1 + 2058406613*lu1^2 - 15084181311*lu1^3 - 597307720334*lu1^4 + 359177667338*lu1^5 + 40527931500960*lu1^6 + 56812251508600* lu1^7)*(g42[t] - I*g42n[t])))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (405*Sqrt[2/7]*mar*(f42[t] - I*f42n[t])* (2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + f20[t]* (6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)* (f42[t] - I*f42n[t]) + (237 + 9992*lu1 - 50751*lu1^2 - 139574*lu1^3)*(g42[t] - I*g42n[t]))))/ (11011*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*(f42[t] - I*f42n[t])*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + f20[t]* (-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)* (f42[t] - I*f42n[t]) + (399 + 3200*lu1 + 9219*lu1^2 + 22510*lu1^3)*(g42[t] - I*g42n[t]))))/(77*Sqrt[14]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (135*Sqrt[2/7]*mar*(f42[t] - I*f42n[t])* (220*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)* (f42[t] - I*f42n[t]) + 9*(169 + 2870*lu1 + 17041*lu1^2 + 103440*lu1^3)*(g42[t] - I*g42n[t]))))/ (11011*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (20*Sqrt[14]*mar*(f42[t] - I*f42n[t])* (231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] - I*f42n[t])* g20[t] + f20[t]*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] - I*f42n[t]) + (429 + 13088*lu1 + 189065*lu1^2 + 9168810*lu1^3)* (g42[t] - I*g42n[t]))))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (10*Sqrt[14]*mar*(f42[t] - I*f42n[t])* (84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] - I*f42n[t]) + (765 - 14643*lu1 + 476207*lu1^2 + 13758099*lu1^3 - 72731864*lu1^4 - 196427700*lu1^5)*(g42[t] - I*g42n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (45*mar*(f42[t] - I*f42n[t])*(27*(21 + 67*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*(f42[t] - I*f42n[t])*g20[t] + 2*f20[t]*(8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] - I*f42n[t]) + (27129 + 696995*lu1 + 83293*lu1^2 - 24617655*lu1^3 - 62448466*lu1^4 - 36043760*lu1^5)*(g42[t] - I*g42n[t]))))/ (1573*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) + (5*mar*(f42[t] - I*f42n[t])* (6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f42[t] - I*f42n[t]) - 2*(549 + 26895*lu1 - 302045*lu1^2 - 125155*lu1^3 + 4225640*lu1^4 + 6122788*lu1^5)*(g42[t] - I*g42n[t]))))/ (77*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)* Pi) + (45*Sqrt[14]*mar*(f42[t] - I*f42n[t])* (-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] - I*f42n[t]) - 7*(-573 - 32827*lu1 - 40051*lu1^2 + 319639*lu1^3 + 6851944*lu1^4 + 12611820*lu1^5)*(g42[t] - I*g42n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (225*lu1*mar*(f42[t] - I*f42n[t])*(11*(-1 + 7*lu1 + 170*lu1^2)^2* (-699 + 484*lu1 + 440469*lu1^2 + 1134210*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + 2*f20[t]* ((1669731 + 24636566*lu1 + 337636918*lu1^2 - 4181254976*lu1^3 + 6027445387*lu1^4 - 82405629302*lu1^5 + 228554789380*lu1^6 + 712450839800*lu1^7)*(f42[t] - I*f42n[t]) + 3*(177231 + 10390964*lu1 + 110571592*lu1^2 + 280426438*lu1^3 - 4857098339*lu1^4 - 20731001186*lu1^5 - 35752504820*lu1^6 - 29028659800*lu1^7)*(g42[t] - I*g42n[t]))))/ (1573*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar* (f42[t] - I*f42n[t])*(33*(-1 + 7*lu1 + 170*lu1^2)^2* (2619 + 63006*lu1 + 50381*lu1^2 + 143290*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + 2*f20[t]* ((845055 + 43055490*lu1 + 676617346*lu1^2 - 14304438348*lu1^3 + 62130082211*lu1^4 - 129104649398*lu1^5 - 8990247900*lu1^6 + 617549958200*lu1^7)*(f42[t] - I*f42n[t]) + 5*(160596 + 5978361*lu1 + 42223199*lu1^2 + 422169849*lu1^3 - 3363744635*lu1^4 - 15985516798*lu1^5 - 11577224820*lu1^6 + 8112026440*lu1^7)*(g42[t] - I*g42n[t]))))/ (1573*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (225*lu1*mar*(f42[t] - I*f42n[t])* (2*(4054797 - 67756677*lu1 - 3159933796*lu1^2 + 73859810290*lu1^3 + 1053100422325*lu1^4 + 3525194438159*lu1^5 + 1361531919226*lu1^6 - 1229956125212*lu1^7 + 8132075630280*lu1^8)*(f42[t] - I*f42n[t])* g20[t] + f20[t]*((-10082988 - 177973437*lu1 + 8602474518*lu1^2 - 52906663970*lu1^3 - 796451193460*lu1^4 - 20141634304701*lu1^5 - 15100731363254*lu1^6 + 101979082357796*lu1^7 + 88145927855160*lu1^8)*(f42[t] - I*f42n[t]) + (-9469980 + 82402641*lu1 + 7316417994*lu1^2 - 14088341910*lu1^3 - 669582588100*lu1^4 + 2668944924145*lu1^5 + 6808894176822*lu1^ 6 - 25863327236692*lu1^7 - 47803456217720*lu1^8)* (g42[t] - I*g42n[t]))))/(11011*Sqrt[14]*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) + (15*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (2*(9853122 - 208038935*lu1 - 7054829398*lu1^2 + 106266174730*lu1^3 + 2312872955130*lu1^4 + 6125341835209*lu1^5 - 178830700390*lu1^6 - 2927714992916*lu1^7 + 3680543505240*lu1^8)* (f42[t] - I*f42n[t])*g20[t] + f20[t]* ((-9956724 + 67732453*lu1 - 5751024166*lu1^2 + 238501081090*lu1^ 3 - 3260805099740*lu1^4 - 37274219475243*lu1^5 + 4340943818166*lu1^6 + 120615611832508*lu1^7 + 69845797003080* lu1^8)*(f42[t] - I*f42n[t]) + (-7091874 + 29773719*lu1 + 6244898082*lu1^2 - 15072419010*lu1^3 - 361705601290*lu1^4 + 1588499799727*lu1^5 + 1363134856218*lu1^6 - 15800832165676*lu1^ 7 - 19435280067560*lu1^8)*(g42[t] - I*g42n[t]))))/ (11011*Sqrt[14]*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (15*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (44*(11061 + 907359*lu1 - 23683004*lu1^2 - 92013022*lu1^3 + 4258952469*lu1^4 - 6237988101*lu1^5 - 264724935766*lu1^6 + 154027249380*lu1^7 + 1634445079400*lu1^8)*(f42[t] - I*f42n[t])* g20[t] + f20[t]*((-798426 + 39846877*lu1 + 3510642878*lu1^2 - 241253029158*lu1^3 + 883778676910*lu1^4 + 16337471407125*lu1^ 5 - 52162878855234*lu1^6 + 5219610714780*lu1^7 + 280901317501000*lu1^8)*(f42[t] - I*f42n[t]) - (-3092697 + 21442438*lu1 + 4199601338*lu1^2 + 8135893208*lu1^3 + 9800164991*lu1^4 + 1054773005330*lu1^5 + 2715735152696*lu1^6 + 39400679582440*lu1^7 + 50682587600400*lu1^8)* (g42[t] - I*g42n[t]))))/(11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^ 3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (225*lu1*mar*(f42[t] - I*f42n[t])* (44*(28782 - 78447*lu1 - 10750058*lu1^2 - 15400654*lu1^3 + 1717593798*lu1^4 + 725004153*lu1^5 - 116340453562*lu1^6 - 50539249140*lu1^7 + 225041637800*lu1^8)*(f42[t] - I*f42n[t])* g20[t] + f20[t]*((3009930 - 28511309*lu1 - 5278765774*lu1^2 + 28001361366*lu1^3 - 107513934158*lu1^4 + 2611077558123*lu1^5 - 19363573673598*lu1^6 + 130783122602340*lu1^7 + 377105143958200*lu1^8)*(f42[t] - I*f42n[t]) - (-2041743 + 23250862*lu1 + 2665729270*lu1^2 + 28861604816*lu1^3 - 257031558999*lu1^4 - 1062322130654*lu1^5 + 8833992818552*lu1^ 6 + 55357354897640*lu1^7 + 79519836841200*lu1^8)* (g42[t] - I*g42n[t]))))/(11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^ 3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (Sqrt[5/42]*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*f40[t] - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*g40[t]) - 4*(23 + 1751*lu1)* (-3 + 13*lu1 + 38*lu1^2)^2*f40[t]*(g42[t] - I*g42n[t]))))/ (77*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (405*Sqrt[15/14]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*g40[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*f40[t]*(g42[t] - I*g42n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (1215*Sqrt[15/14]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)*f40[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f42[t] - I*f42n[t])* (3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*g40[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*f40[t]* (g42[t] - I*g42n[t]))))/(22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (Sqrt[5/42]*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*f40[t] + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*g40[t]) + 5*(51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*f40[t]*(g42[t] - I*g42n[t]))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (15*Sqrt[15/14]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*f40[t] + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)*g40[t]) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)* f40[t]*(g42[t] - I*g42n[t]))))/(77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (27*Sqrt[15/14]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* f40[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*g40[t]) - 20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*f40[t]* (g42[t] - I*g42n[t]))))/(1573*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (15*Sqrt[15/14]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*f40[t] - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)* g40[t]) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)* f40[t]*(g42[t] - I*g42n[t]))))/(77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*Sqrt[210]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*f40[t] + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*g40[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*f40[t]*(g42[t] - I*g42n[t]))))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (10*Sqrt[70/3]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*f40[t] + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*g40[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*f40[t]*(g42[t] - I*g42n[t]))))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (9*Sqrt[15/14]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*g40[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*f40[t]*(g42[t] - I*g42n[t]))))/ (1573*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar*(-5*(-116918601 + 716561449*lu1 + 95036079206*lu1^2 + 294575550630*lu1^3 - 4658875181325*lu1^4 - 23136183575907*lu1^5 - 14075246838112*lu1^6 + 23915242536612* lu1^7 + 2648959897920*lu1^8)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-297965886 + 2374427053*lu1 + 190634665124*lu1^2 + 1087360054570*lu1^3 - 1434657534890* lu1^4 - 144436666965747*lu1^5 - 34335087477204*lu1^6 + 724542664914868*lu1^7 + 560849877678720*lu1^8)*f40[t] + 4*(970083 - 41864796*lu1 - 628415250*lu1^2 + 2909863660*lu1^3 + 109695566915*lu1^4 - 302000270584*lu1^5 - 2037245830812* lu1^6 + 401330037840*lu1^7 + 4908239341600*lu1^8)*g40[t]) - 77*(-3 + 13*lu1 + 38*lu1^2)^2*(29019 - 100079*lu1 - 25734673*lu1^2 - 123027773*lu1^3 + 1267272930*lu1^4)*f40[t]* (g42[t] - I*g42n[t]))))/(22022*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (15*Sqrt[15/14]*lu1*mar*((322125453 + 921793179*lu1 - 303705621750*lu1^2 - 2523453416750*lu1^3 + 21574651557585*lu1^4 + 85596680241591*lu1^5 + 11572839733768*lu1^6 - 42416907637620* lu1^7 + 155696530668000*lu1^8)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-129130938 - 2496686169*lu1 + 139176124648*lu1^2 + 2227210873070*lu1^3 - 9134754975030* lu1^4 - 115235449482041*lu1^5 + 35628506067632*lu1^6 + 809925882464076*lu1^7 + 738125646053040*lu1^8)*f40[t] + 20*(58158 - 3934125*lu1 - 141937842*lu1^2 + 1610354150*lu1^3 + 6747698110*lu1^4 - 50940934229*lu1^5 - 114800196570*lu1^6 + 107252008116*lu1^7 + 218311057160*lu1^8)*g40[t]) - 77*(-3 + 13*lu1 + 38*lu1^2)^2*(66282 - 281389*lu1 - 58690334*lu1^2 - 236286661*lu1^3 + 3218294310*lu1^4)*f40[t]* (g42[t] - I*g42n[t]))))/(22022*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*Sqrt[210]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*f40[t] - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*g40[t]) + 168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*f40[t]*(g42[t] - I*g42n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (3*Sqrt[15/14]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*g40[t]) - 12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*f40[t]*(g42[t] - I*g42n[t]))))/ (2002*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3*Sqrt[15/14]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (4*(f42[t] - I*f42n[t])*(2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*g40[t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*f40[t]* (g42[t] - I*g42n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[70/3]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (4*(f42[t] - I*f42n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*f40[t] + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*g40[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*f40[t]* (g42[t] - I*g42n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (15*Sqrt[15/14]*lu1*mar*(352*(-1959 + 6958*lu1 + 1069201*lu1^2 - 104337*lu1^3 - 153312800*lu1^4 - 528308525*lu1^5 + 1906647750*lu1^6)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (6*(f42[t] - I*f42n[t])*(2*(142285 - 3469173*lu1 + 50763425* lu1^2 + 655096401*lu1^3 - 39323986242*lu1^4 - 74508455800* lu1^5 + 1352579001200*lu1^6)*f40[t] + 11*(-35574 + 62905*lu1 + 40609381*lu1^2 + 199732755*lu1^3 - 9033061655* lu1^4 - 64145339000*lu1^5 + 97356220500*lu1^6)*g40[t]) + (2417283 + 26242948*lu1 - 2461522940*lu1^2 - 24752928474*lu1^3 + 431699531233*lu1^4 + 3109291465750*lu1^5 - 9768233365800*lu1^6)* f40[t]*(g42[t] - I*g42n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 + 29*lu1 + 2310*lu1^2)*Pi) - (15*Sqrt[15/14]*lu1*mar* ((-3850917 - 49177310*lu1 + 2973923518*lu1^2 + 32084114628*lu1^3 - 68844824489*lu1^4 - 149313898430*lu1^5 + 800853450600*lu1^6)* f40[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])* ((4218123 + 57395299*lu1 - 3331355113*lu1^2 - 26518332489* lu1^3 - 72416423522*lu1^4 + 1346521985810*lu1^5 + 976414305300*lu1^6)*f40[t] - 11*(-197190 + 958257*lu1 + 178233157*lu1^2 + 556120339*lu1^3 - 13288261879*lu1^4 + 6376792400*lu1^5 + 67547148900*lu1^6)*g40[t]) + 2*(159966 + 23859*lu1 - 49567985*lu1^2 + 15505849*lu1^3 + 3830184299*lu1^4 - 8877051760*lu1^5 - 32167180500*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^2* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar*(210*(-1 + 7*lu1 + 170*lu1^2)^2* (750 + 2711*lu1 + 4267*lu1^2)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((606054 + 2071270*lu1 - 306432366*lu1^2 - 7002204598*lu1^3 + 71183852800*lu1^4 - 99644465928*lu1^5 + 70075762400*lu1^6)*f40[t] + 3*(34099 + 2084700*lu1 - 44100574*lu1^2 - 1032158984*lu1^3 - 9754611033*lu1^4 - 2682442684*lu1^5 + 10116364140*lu1^6)*g40[t]) - 4*(-4281 - 34270*lu1 + 2808684*lu1^2 + 4028602*lu1^3 - 340264255*lu1^4 - 550777908*lu1^5 + 5314408420*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar* ((-5607729 + 7695774*lu1 + 2835898970*lu1^2 + 31207898864*lu1^3 + 147313695079*lu1^4 - 43177935350*lu1^5 + 192446851800*lu1^6)* f40[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(3*(f42[t] - I*f42n[t])* ((2150061 - 20848271*lu1 - 569376995*lu1^2 - 8813630731*lu1^3 - 57053938186*lu1^4 + 361025685630*lu1^5 + 224899825500*lu1^6)* f40[t] - 55*(-9846 + 55269*lu1 + 8593289*lu1^2 + 25101743*lu1^3 - 487999403*lu1^4 - 308857232*lu1^5 + 1400003220*lu1^6)*g40[t]) - 10*(-12483 - 884970*lu1 + 15816928*lu1^2 + 76766998*lu1^3 - 1330282009*lu1^4 + 1509366548*lu1^5 + 8673406140*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^2* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (15*Sqrt[15/14]*lu1*mar*(28*(-1 + 7*lu1 + 170*lu1^2)^2* (382 + 24453*lu1 + 63453*lu1^2)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(2*(-976913 + 22517015*lu1 - 61993435* lu1^2 - 4315590703*lu1^3 + 19093708568*lu1^4 + 37860148412* lu1^5 + 89141047600*lu1^6)*f40[t] + (-497493 - 1228114*lu1 + 91868844*lu1^2 - 1655168378*lu1^3 - 30415813963*lu1^4 - 29524205844*lu1^5 + 25426051540*lu1^6)*g40[t]) - 4*(-23946 + 366167*lu1 + 6657939*lu1^2 - 74818139*lu1^3 - 639441265*lu1^4 + 2640239664*lu1^5 + 9511694140*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar* (210*(-1 + 7*lu1 + 170*lu1^2)^2*(750 + 2711*lu1 + 4267*lu1^2)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(f42[t] - I*f42n[t])*((303027 + 1035635*lu1 - 153216183*lu1^2 - 3501102299*lu1^3 + 35591926400*lu1^4 - 49822232964*lu1^5 + 35037881200*lu1^6)*f40[t] + 2*(4281 + 34270*lu1 - 2808684*lu1^2 - 4028602*lu1^3 + 340264255*lu1^4 + 550777908*lu1^5 - 5314408420*lu1^6)*g40[t]) + 3*(34099 + 2084700*lu1 - 44100574*lu1^2 - 1032158984*lu1^3 - 9754611033*lu1^4 - 2682442684*lu1^5 + 10116364140*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (15*Sqrt[15/14]*lu1*mar* (28*(-1 + 7*lu1 + 170*lu1^2)^2*(382 + 24453*lu1 + 63453*lu1^2)* f40[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f42[t] - I*f42n[t])* ((-976913 + 22517015*lu1 - 61993435*lu1^2 - 4315590703*lu1^3 + 19093708568*lu1^4 + 37860148412*lu1^5 + 89141047600*lu1^6)* f40[t] - 2*(-23946 + 366167*lu1 + 6657939*lu1^2 - 74818139*lu1^3 - 639441265*lu1^4 + 2640239664*lu1^5 + 9511694140*lu1^6)*g40[t]) + (-497493 - 1228114*lu1 + 91868844*lu1^2 - 1655168378*lu1^3 - 30415813963*lu1^4 - 29524205844*lu1^5 + 25426051540*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar* (440*(-822 - 34981*lu1 + 1192223*lu1^2 + 9754029*lu1^3 - 222734305*lu1^4 - 1149889540*lu1^5 + 5930234100*lu1^6)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(f42[t] - I*f42n[t])*((282555 + 29585885*lu1 - 1060768069* lu1^2 + 11863498755*lu1^3 - 63764882314*lu1^4 - 3156773778580*lu1^5 + 9312064864200*lu1^6)*f40[t] + 55*(-15432 + 196717*lu1 + 14654725*lu1^2 - 58857513*lu1^3 - 2606676653*lu1^4 - 6617274800*lu1^5 + 24193854300*lu1^6)*g40[ t]) - (-1625091 - 1882576*lu1 + 710640728*lu1^2 + 10263953694*lu1^3 + 42037996019*lu1^4 + 213646220930*lu1^5 + 4866067789800*lu1^6)*f40[t]*(g42[t] - I*g42n[t]))))/ (1573*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 + 29*lu1 + 2310*lu1^2)*Pi) + (15*Sqrt[15/14]*lu1*mar*(44*(442998 - 5662779*lu1 - 316441994*lu1^2 + 2371679962*lu1^3 + 51660063358*lu1^4 - 68145205459*lu1^5 - 1528939763450*lu1^6 - 2028333659300*lu1^7 + 547200913000*lu1^8)* f40[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])* (2*(-101776521 + 2169884569*lu1 + 48537603476*lu1^2 - 705336908298*lu1^3 + 8166639571663*lu1^4 - 20300422111467* lu1^5 - 260894372603634*lu1^6 + 724121995357500*lu1^7 + 2187624779481400*lu1^8)*f40[t] + (-133993299 - 658127543* lu1 + 148303165442*lu1^2 + 1183073994014*lu1^3 - 26189014280839*lu1^4 - 92445970025323*lu1^5 + 1141023548565560*lu1^6 + 308584626096100*lu1^7 - 4254692860488000*lu1^8)*g40[t]) + 462*(148266 - 775881*lu1 - 173624158*lu1^2 - 180942018*lu1^3 + 45571098754*lu1^4 + 118903551503*lu1^5 - 2228801351742*lu1^6 - 1234345570700*lu1^ 7 + 6673789630200*lu1^8)*f40[t]*(g42[t] - I*g42n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar* (44*(308331 + 3631197*lu1 - 418922228*lu1^2 - 1191450266*lu1^3 + 99741629131*lu1^4 + 256585885937*lu1^5 - 4809243456410*lu1^6 - 3111679949300*lu1^7 + 14233212175000*lu1^8)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(2*(-85338126 - 380796857*lu1 + 107760370810*lu1^2 + 97554681174*lu1^3 - 14194920690766* lu1^4 + 96196610660711*lu1^5 - 224388673229742*lu1^6 - 52545124131500*lu1^7 + 1738544993126200*lu1^8)*f40[t] + (-143472303 + 240556429*lu1 + 120621740634*lu1^2 + 883937453318*lu1^3 - 7268358207203*lu1^4 - 65989960428711* lu1^5 + 325988771068760*lu1^6 - 190479248292300*lu1^7 - 2024841160104000*lu1^8)*g40[t]) + 154*(166815 - 3388941*lu1 - 143139736*lu1^2 + 1854592842*lu1^3 + 24046642711*lu1^4 - 153628010977*lu1^5 - 926558843958*lu1^6 + 3196367490100*lu1^7 + 8553231409800*lu1^8)*f40[t]*(g42[t] - I*g42n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[2/21]*mar*f20[t]* (f22[t] - I*f22n[t])*((-50 + 4*lu1)*(f42[t] - I*f42n[t]) + 7*(1 + lu1)*(g42[t] - I*g42n[t])))/((3 + 32*lu1 + 20*lu1^2)*Pi) - (45*Sqrt[2/7]*mar*f20[t]*(f42[t] - I*f42n[t])* ((-50 + 4*lu1)*(f42[t] - I*f42n[t]) + 7*(1 + lu1)* (g42[t] - I*g42n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) + (15*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* ((-50 + 4*lu1)*(f42[t] - I*f42n[t]) + 7*(1 + lu1)* (g42[t] - I*g42n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) + (Sqrt[14/3]*mar*f20[t]*(f22[t] - I*f22n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (2*Sqrt[42]*mar*f20[t]*(f22[t] - I*f22n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (18*Sqrt[210]*mar*(f22[t] - I*f22n[t])*f40[t]* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (45*Sqrt[14]*mar*f20[t]*(f42[t] - I*f42n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (30*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (100*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((46 - 394*lu1 + 532*lu1^2)*(f42[t] - I*f42n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g42[t] - I*g42n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (315*Sqrt[70]*mar*f40[t]*(f42[t] - I*f42n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f42[t] - I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g42[t] - I*g42n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (14525*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f42[t] - I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g42[t] - I*g42n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (5*Sqrt[15/14]*mar*(f22[t] - I*f22n[t])*f40[t]* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] - I*g42n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (135*Sqrt[5/14]*mar*f40[t]*(f42[t] - I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] - I*g42n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (117*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] - I*g42n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (Sqrt[210]*mar*(f22[t] - I*f22n[t])*f40[t]* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (135*Sqrt[70]*mar*f40[t]*(f42[t] - I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] - I*g42n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (180*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] - I*g42n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (5*Sqrt[42]*lu1*mar*f20[t]*(f22[t] - I*f22n[t])* (2*(2199 - 2365*lu1 - 78146*lu1^2 + 42248*lu1^3)* (f42[t] - I*f42n[t]) + (2067 + 25594*lu1 + 7613*lu1^2 - 13322*lu1^3)*(g42[t] - I*g42n[t])))/(11*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*Sqrt[210]*lu1*mar* (f22[t] - I*f22n[t])*f40[t]*(2*(2199 - 2365*lu1 - 78146*lu1^2 + 42248*lu1^3)*(f42[t] - I*f42n[t]) + (2067 + 25594*lu1 + 7613*lu1^2 - 13322*lu1^3)* (g42[t] - I*g42n[t])))/(143*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (1575*lu1*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (2*(1238 + 281*lu1 - 57809*lu1^2 + 51202*lu1^3)* (f42[t] - I*f42n[t]) + 9*(141 + 1610*lu1 + 315*lu1^2 - 722*lu1^3)* (g42[t] - I*g42n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) + (315*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*((514 + 208*lu1 - 38998*lu1^2 + 30644*lu1^3)* (f42[t] - I*f42n[t]) + 9*(27 + 284*lu1 + 99*lu1^2 + 598*lu1^3)* (g42[t] - I*g42n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) + (Sqrt[42]*(-1 + 5*lu1)*mar*f20[t]* (f22[t] - I*f22n[t])*(2*(449 - 1147*lu1 - 32198*lu1^2 + 5848*lu1^3)* (f42[t] - I*f42n[t]) + (289 + 3964*lu1 + 5513*lu1^2 + 6698*lu1^3)* (g42[t] - I*g42n[t])))/(11*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (3*Sqrt[210]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*f40[t]* ((2162 + 37722*lu1 - 240396*lu1^2 + 74288*lu1^3)* (f42[t] - I*f42n[t]) + (2393 + 19452*lu1 + 7257*lu1^2 + 9314*lu1^3)*(g42[t] - I*g42n[t])))/(143*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (15*Sqrt[2/7]*(-1 + 5*lu1)*mar* f20[t]*(f42[t] - I*f42n[t])*(2*(7974 - 66059*lu1 + 383319*lu1^2 - 340014*lu1^3 + 282040*lu1^4)*(f42[t] - I*f42n[t]) + (4338 + 103067*lu1 + 101763*lu1^2 - 266298*lu1^3 - 105550*lu1^4)* (g42[t] - I*g42n[t])))/(143*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (225*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (2*(24405 - 107631*lu1 - 602390*lu1^2 - 187312*lu1^3 + 306208*lu1^4)* (f42[t] - I*f42n[t]) + (15717 + 259344*lu1 + 277679*lu1^2 - 109868*lu1^3 - 97912*lu1^4)*(g42[t] - I*g42n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* ((90270 + 793174*lu1 - 4278420*lu1^2 - 3681408*lu1^3 + 2465344*lu1^4)*(f42[t] - I*f42n[t]) + (73287 + 774412*lu1 + 749601*lu1^2 - 150492*lu1^3 - 43448*lu1^4)* (g42[t] - I*g42n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (30*Sqrt[6/7]*lu1*mar*f20[t]* (f22[t] - I*f22n[t])*((11542 - 73577*lu1 - 219323*lu1^2 - 106698*lu1^3 + 143336*lu1^4)*(f42[t] - I*f42n[t]) + (2878 + 56683*lu1 + 66106*lu1^2 - 28110*lu1^3 - 23077*lu1^4)* (g42[t] - I*g42n[t])))/(11*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (675*Sqrt[2/7]*lu1*mar*f20[t]* (f42[t] - I*f42n[t])*(2*(2307 - 49770*lu1 + 57557*lu1^2 - 49334*lu1^3 + 26360*lu1^4)*(f42[t] - I*f42n[t]) + (-1443 + 8298*lu1 + 27799*lu1^2 - 17824*lu1^3 - 8990*lu1^4)* (g42[t] - I*g42n[t])))/(143*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (Sqrt[2/21]*(-1 + 5*lu1)*mar*f20[t]* (f22[t] - I*f22n[t])*(2*(15993 - 42112*lu1 - 755487*lu1^2 - 899718*lu1^3 + 312824*lu1^4)*(f42[t] - I*f42n[t]) + (10413 + 167995*lu1 + 319248*lu1^2 + 213270*lu1^3 + 122074*lu1^4)* (g42[t] - I*g42n[t])))/(11*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (15*Sqrt[15/14]*lu1*mar* (f22[t] - I*f22n[t])*f40[t]*(2*(279042 - 2590581*lu1 - 2549723*lu1^2 + 5523326*lu1^3 + 7026736*lu1^4)* (f42[t] - I*f42n[t]) + (95079 + 2375022*lu1 + 1168409*lu1^2 - 3718166*lu1^3 + 753896*lu1^4)*(g42[t] - I*g42n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*f40[t]* (2*(165231 - 1557248*lu1 - 546549*lu1^2 + 7629438*lu1^3 + 9082768*lu1^4)*(f42[t] - I*f42n[t]) + (67509 + 1402076*lu1 - 764787*lu1^2 - 2839926*lu1^3 + 3142568*lu1^4)*(g42[t] - I*g42n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (675*Sqrt[5/14]*lu1*mar*f40[t]* (f42[t] - I*f42n[t])*(2*(-874134 + 4933323*lu1 + 8965007*lu1^2 + 26099888*lu1^3 + 27901516*lu1^4 + 40121440*lu1^5)* (f42[t] - I*f42n[t]) + 3*(-178095 - 3090156*lu1 - 1680349*lu1^2 + 4723364*lu1^3 - 9074204*lu1^4 + 2572720*lu1^5)* (g42[t] - I*g42n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) + (45*lu1*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (2*(-21897882 + 158015277*lu1 + 739323241*lu1^2 + 978665664*lu1^3 + 855785668*lu1^4 + 1078372512*lu1^5 + 778697920*lu1^6)* (f42[t] - I*f42n[t]) - 45*(164695 + 4202444*lu1 + 7672533*lu1^2 - 6274308*lu1^3 - 7504132*lu1^4 + 8465488*lu1^5)* (g42[t] - I*g42n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*f40[t]*(f42[t] - I*f42n[t])* (2*(1063917 - 13401134*lu1 - 62025391*lu1^2 - 26149884*lu1^3 + 66670132*lu1^4 + 114103520*lu1^5)*(f42[t] - I*f42n[t]) + (-332649 + 5124506*lu1 + 41361679*lu1^2 + 11898156*lu1^3 - 103700812*lu1^4 + 11204080*lu1^5)*(g42[t] - I*g42n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (3*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (2*(-17507781 + 97301246*lu1 - 231276377*lu1^2 - 1749872868*lu1^3 - 879061636*lu1^4 + 2648640736*lu1^5 + 2336093760*lu1^6)* (f42[t] - I*f42n[t]) - 5*(2629971 + 43473730*lu1 + 10867499*lu1^2 - 220191204*lu1^3 - 45464252*lu1^4 + 256041776*lu1^5)*(g42[t] - I*g42n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (6615*Sqrt[70]*mar*(f42[t] - I*f42n[t])* (3*(f42[t] - I*f42n[t])*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*f40[t] - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*g40[t]) + 2*(42 + 451*lu1 - 6515*lu1^2 - 364698*lu1^3)*f40[t]*(g42[t] - I*g42n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (45*Sqrt[5/14]*mar*(f42[t] - I*f42n[t])* ((f42[t] - I*f42n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*f40[t] + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*g40[t]) + (195 + 9772*lu1 - 51693*lu1^2 - 145474*lu1^3)*f40[t]*(g42[t] - I*g42n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*Sqrt[5/14]*mar*(f42[t] - I*f42n[t])* ((f42[t] - I*f42n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*f40[t] - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)* g40[t]) + (2499 + 45370*lu1 + 15435*lu1^2 - 141448*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (3645*Sqrt[5/14]*mar*(f42[t] - I*f42n[t])* ((f42[t] - I*f42n[t])*(2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*g40[t]) - 10*(51 + 1214*lu1 + 6763*lu1^2 + 5924*lu1^3)*f40[t]*(g42[t] - I*g42n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (9*Sqrt[70]*mar*(f42[t] - I*f42n[t])*((f42[t] - I*f42n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*f40[t] + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)*g40[t]) - 630*(8 + 401*lu1 + 2600*lu1^2 + 12863*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (3645*Sqrt[5/14]*mar*(f42[t] - I*f42n[t])* (2*(f42[t] - I*f42n[t])*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*g40[t]) + 5*(-107 - 2548*lu1 - 11591*lu1^2 + 14502*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (3645*Sqrt[5/14]*mar*(f42[t] - I*f42n[t])* (2*(f42[t] - I*f42n[t])*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] - (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*g40[t]) + 3*(-3 - 200*lu1 + 2057*lu1^2 + 37570*lu1^3)*f40[t]*(g42[t] - I*g42n[t])))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (2646*Sqrt[70]*mar*(f42[t] - I*f42n[t])*(2*(f42[t] - I*f42n[t])* ((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*f40[t] + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*g40[t]) - 3*(-15 + 1844*lu1 + 22969*lu1^2 + 613922*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(31603*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (6615*Sqrt[70]*mar*(f42[t] - I*f42n[t])*(6*(f42[t] - I*f42n[t])* ((21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)*f40[t] - 5*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*g40[t]) - (51 + 5830*lu1 + 34117*lu1^2 + 2152962*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (135*Sqrt[5/14]*lu1*mar*(f42[t] - I*f42n[t])* (20*(f42[t] - I*f42n[t])*((43544949 + 1939815691*lu1 + 67836191241*lu1^2 + 940901512385*lu1^3 - 8056220065994*lu1^4 - 19218525401496*lu1^5 - 12260083238296*lu1^6 + 20204777112240* lu1^7)*f40[t] + 17*(-200118 - 2408267*lu1 + 102708975*lu1^2 + 707132693*lu1^3 - 10131755177*lu1^4 - 58069126470*lu1^5 + 97439050820*lu1^6 + 256205548200*lu1^7)*g40[t]) + (328849473 + 36159362906*lu1 + 1078843126866*lu1^2 + 11294149738432*lu1^3 + 75816190212953*lu1^4 + 111033947929926* lu1^5 - 102459730725140*lu1^6 - 257193101235000*lu1^7)*f40[t]* (g42[t] - I*g42n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* ((f42[t] - I*f42n[t])*(4*(-101122380 + 121081097*lu1 + 237374588343*lu1^2 + 476941408945*lu1^3 - 11770052939107*lu1^ 4 - 41408627359302*lu1^5 + 73185283698940*lu1^6 + 68936686191240*lu1^7)*f40[t] + (24049257 + 4540410302*lu1 + 243419563590*lu1^2 + 5464168663564*lu1^3 + 31303700584349*lu1^ 4 + 16350122836902*lu1^5 - 44394776788484*lu1^6 + 59825421869640*lu1^7)*g40[t]) + 2*(6095445 + 184905382*lu1 - 8987179578*lu1^2 + 21148695716*lu1^3 + 1152695896033*lu1^4 - 3677902972986*lu1^5 - 31734256827604*lu1^6 - 31012221904440* lu1^7)*f40[t]*(g42[t] - I*g42n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar* (f42[t] - I*f42n[t])*(4*(f42[t] - I*f42n[t])* ((-101122380 + 121081097*lu1 + 237374588343*lu1^2 + 476941408945*lu1^3 - 11770052939107*lu1^4 - 41408627359302*lu1^ 5 + 73185283698940*lu1^6 + 68936686191240*lu1^7)*f40[t] - 17*(152907 + 2226970*lu1 - 29528694*lu1^2 - 1128086140*lu1^3 - 2716573409*lu1^4 + 88868523810*lu1^5 + 417961608692*lu1^6 + 206282296920*lu1^7)*g40[t]) + 3*(15545941 + 1687218342*lu1 + 74479084414*lu1^2 + 1809918732492*lu1^3 + 11141455128201*lu1^4 + 5012458836670*lu1^5 - 26480633684212*lu1^6 + 3942724750440*lu1^7)* f40[t]*(g42[t] - I*g42n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (2*(f42[t] - I*f42n[t])*((-28937748 - 538467902*lu1 + 65481288958*lu1^2 + 948820909002*lu1^3 + 2521979324662*lu1^4 - 40958590643876*lu1^5 + 483480952408776*lu1^6 + 90284686274160*lu1^7)*f40[t] - 429*(-8655 - 233222*lu1 + 13313362*lu1^2 + 279663840*lu1^3 - 3368300663*lu1^4 - 55267954298*lu1^5 - 51812781300*lu1^6 + 321736753800*lu1^7)* g40[t]) + (-9358059 - 229041578*lu1 + 30882034030*lu1^2 + 1736904846108*lu1^3 + 21225305418265*lu1^4 + 96323318076286* lu1^5 + 42345006946956*lu1^6 + 38882973686760*lu1^7)*f40[t]* (g42[t] - I*g42n[t])))/(347633*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (135*Sqrt[5/14]*lu1*mar*(f42[t] - I*f42n[t])* (5*(f42[t] - I*f42n[t])*(4*(43544949 + 1939815691*lu1 + 67836191241*lu1^2 + 940901512385*lu1^3 - 8056220065994*lu1^4 - 19218525401496*lu1^5 - 12260083238296*lu1^6 + 20204777112240* lu1^7)*f40[t] + (56426961 + 6840216116*lu1 + 219220572672*lu1^ 2 + 2401667806450*lu1^3 + 14898880185227*lu1^4 + 13000620262434*lu1^5 - 334896808604*lu1^6 + 21434219552760*lu1^ 7)*g40[t]) - 2*(10662726 - 569735773*lu1 - 8830657503*lu1^2 + 236882089099*lu1^3 + 1061503736681*lu1^4 - 13143671808978*lu1^5 + 33827984701660*lu1^6 + 138627156305400*lu1^7)*f40[t]* (g42[t] - I*g42n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) - (135*Sqrt[5/14]*lu1*mar*(f42[t] - I*f42n[t])* (2*(f42[t] - I*f42n[t])*(10*(-1092003 + 188244575*lu1 - 10999313779*lu1^2 - 554427825939*lu1^3 - 1048328857462*lu1^4 + 10389519751256*lu1^5 + 212334373615224*lu1^6 + 130055760278640*lu1^7)*f40[t] + 143*(-65982 - 2504725*lu1 + 84009161*lu1^2 + 3298138155*lu1^3 - 5617301707*lu1^4 - 758520460570*lu1^5 - 3996326697300*lu1^6 + 7535916927000*lu1^7)* g40[t]) - 5*(-4877487 + 456775528*lu1 + 35813336668*lu1^2 + 913972915446*lu1^3 + 14023035445327*lu1^4 + 62976106584058* lu1^5 + 76079941139412*lu1^6 + 346683602767320*lu1^7)*f40[t]* (g42[t] - I*g42n[t])))/(347633*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (15*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((-50 + 4*lu1)*(f42[t] + I*f42n[t]) + 7*(1 + lu1)* (g42[t] + I*g42n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) + (30*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] + I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] + I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (100*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* ((46 - 394*lu1 + 532*lu1^2)*(f42[t] + I*f42n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g42[t] + I*g42n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (1435*mar*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*((47 - 1265*lu1 + 794*lu1^2)* (f42[t] + I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)* (g42[t] + I*g42n[t])))/(20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)* Pi) - (5*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] + I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] + I*g42n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (18*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] + I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] + I*g42n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (10*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] + I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] + I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (1530*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] + I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] + I*g42n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (225*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (2*(24405 - 107631*lu1 - 602390*lu1^2 - 187312*lu1^3 + 306208*lu1^4)* (f42[t] + I*f42n[t]) + (15717 + 259344*lu1 + 277679*lu1^2 - 109868*lu1^3 - 97912*lu1^4)*(g42[t] + I*g42n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((90270 + 793174*lu1 - 4278420*lu1^2 - 3681408*lu1^3 + 2465344*lu1^4)*(f42[t] + I*f42n[t]) + (73287 + 774412*lu1 + 749601*lu1^2 - 150492*lu1^3 - 43448*lu1^4)* (g42[t] + I*g42n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (75*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (2*(112170 - 880569*lu1 - 1401191*lu1^2 + 1807046*lu1^3 + 2151184*lu1^4)*(f42[t] + I*f42n[t]) + (51603 + 1012518*lu1 + 250637*lu1^2 - 972302*lu1^3 + 143624*lu1^4)* (g42[t] + I*g42n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (2*(59499 - 512608*lu1 - 695481*lu1^2 + 2203686*lu1^3 + 2464112*lu1^4)*(f42[t] + I*f42n[t]) + (26793 + 495196*lu1 - 305103*lu1^2 - 216558*lu1^3 + 991432*lu1^4)* (g42[t] + I*g42n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (2025*lu1*mar*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(2*(1261266 - 6363777*lu1 - 36465085*lu1^2 - 17941900*lu1^3 + 57899104*lu1^4 + 42451192*lu1^5)* (f42[t] + I*f42n[t]) + 3*(220177 + 4354036*lu1 + 8461475*lu1^2 - 1462060*lu1^3 - 5366892*lu1^4 + 519984*lu1^5)* (g42[t] + I*g42n[t])))/(20449*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) - (45*lu1*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (2*(-21897882 + 158015277*lu1 + 739323241*lu1^2 + 978665664*lu1^3 + 855785668*lu1^4 + 1078372512*lu1^5 + 778697920*lu1^6)* (f42[t] + I*f42n[t]) - 45*(164695 + 4202444*lu1 + 7672533*lu1^2 - 6274308*lu1^3 - 7504132*lu1^4 + 8465488*lu1^5)* (g42[t] + I*g42n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) + (45*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (2*(4847715 - 21954058*lu1 - 148107965*lu1^2 - 99469140*lu1^3 + 232074200*lu1^4 + 196828408*lu1^5)*(f42[t] + I*f42n[t]) + (2800953 + 50721166*lu1 + 80566121*lu1^2 - 48913356*lu1^3 - 36070532*lu1^4 + 49126928*lu1^5)*(g42[t] + I*g42n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (3*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (2*(-17507781 + 97301246*lu1 - 231276377*lu1^2 - 1749872868*lu1^3 - 879061636*lu1^4 + 2648640736*lu1^5 + 2336093760*lu1^6)* (f42[t] + I*f42n[t]) - 5*(2629971 + 43473730*lu1 + 10867499*lu1^2 - 220191204*lu1^3 - 45464252*lu1^4 + 256041776*lu1^5)*(g42[t] + I*g42n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (5*mar*((217 + 3329*lu1 + 11590*lu1^2)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* (30*(-1 - 9*lu1 + 10*lu1^2)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-1007 + 6741*lu1 + 6830*lu1^2)*(f44[t] - I*f44n[t]) + (43 - 1869*lu1 - 2830*lu1^2)*(g44[t] - I*g44n[t])))))/ (42*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) - (5*mar*(-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f44[t] - I*f44n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g44[t] - I*g44n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (5*mar*(30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f44[t] - I*f44n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g44[t] - I*g44n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (75*lu1*mar*((-699063 + 2829128*lu1 + 132822374*lu1^2 + 254275912*lu1^3 - 615078419*lu1^4 - 307888488*lu1^5 + 1370158140*lu1^6)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (4*(-14274 + 209613*lu1 + 2161249*lu1^2 - 20026833*lu1^3 - 23292599*lu1^4 + 170866920*lu1^5 + 247730740*lu1^6)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(198318 - 9545263*lu1 + 151991561*lu1^2 - 1251569257*lu1^3 - 1338150391*lu1^4 + 11882511068*lu1^5 + 17911163900*lu1^6)*( f44[t] - I*f44n[t]) - 315*(-3 + 13*lu1 + 38*lu1^2)^2*(53 + 668*lu1 + 20847*lu1^2)*(g44[t] - I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (75*lu1*mar*(4*(-14274 + 209613*lu1 + 2161249*lu1^2 - 20026833*lu1^3 - 23292599*lu1^4 + 170866920*lu1^5 + 247730740*lu1^6)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((-699063 + 2829128*lu1 + 132822374*lu1^2 + 254275912*lu1^3 - 615078419*lu1^4 - 307888488*lu1^5 + 1370158140*lu1^6)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(198318 - 9545263*lu1 + 151991561*lu1^2 - 1251569257*lu1^3 - 1338150391*lu1^4 + 11882511068*lu1^5 + 17911163900*lu1^6)*(f44[t] - I*f44n[t]) - 315*(-3 + 13*lu1 + 38*lu1^2)^2*(53 + 668*lu1 + 20847*lu1^2)*( g44[t] - I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*(-1 + 5*lu1)*mar*((-1322703 + 6794058*lu1 + 235435312*lu1^2 + 361204726*lu1^3 - 377066197*lu1^4 - 945599632*lu1^5 + 746101188*lu1^6)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (4*(-16110 + 217767*lu1 + 2583067*lu1^2 - 15838179*lu1^3 - 57074597*lu1^4 + 109118424*lu1^5 + 286500316*lu1^6)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(-1806057 + 29818488*lu1 - 56893430*lu1^2 - 1701135600* lu1^3 - 411113885*lu1^4 + 18115228416*lu1^5 + 21133001716* lu1^6)*(f44[t] - I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*( 17663 + 330562*lu1 + 623615*lu1^2)*(g44[t] - I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*(-1 + 5*lu1)*mar*(4*(-16110 + 217767*lu1 + 2583067*lu1^2 - 15838179*lu1^3 - 57074597*lu1^4 + 109118424*lu1^5 + 286500316*lu1^6)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((-1322703 + 6794058*lu1 + 235435312*lu1^2 + 361204726*lu1^3 - 377066197*lu1^4 - 945599632*lu1^5 + 746101188*lu1^6)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(-1806057 + 29818488*lu1 - 56893430*lu1^2 - 1701135600* lu1^3 - 411113885*lu1^4 + 18115228416*lu1^5 + 21133001716* lu1^6)*(f44[t] - I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*( 17663 + 330562*lu1 + 623615*lu1^2)*(g44[t] - I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (45*mar*(2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*(f44[t] - I*f44n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*( g44[t] - I*g44n[t])))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (45*mar*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*(f44[t] - I*f44n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*( g44[t] - I*g44n[t])))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*((-231 + 464*lu1 + 5253*lu1^2 + 6802*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) - 4*(f22[t] - I*f22n[t])*((3133 + 16918*lu1 + 13701*lu1^2 - 26456*lu1^3)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 5*(f22[t] + I*f22n[t])*((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*(f44[t] - I*f44n[t]) + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*(g44[t] - I*g44n[t])))))/ (42*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) + (5*mar*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(-14*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*(f44[t] - I*f44n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g44[t] - I*g44n[t])))))/ (18876*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (75*mar*(-28*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*(f44[t] - I*f44n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g44[t] - I*g44n[t])))))/ (572*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (mar*(45*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) - 2*(f22[t] - I*f22n[t])*((41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 6*(f22[t] + I*f22n[t])*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f44[t] - I*f44n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g44[t] - I*g44n[t])))))/ (1694*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (25*(-1 + 5*lu1)*mar*(6*(3747 + 266764*lu1 + 204707*lu1^2 + 202734*lu1^3)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((37221 + 888284*lu1 + 430189*lu1^2 - 738990*lu1^3)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((-7635 - 2704942*lu1 + 6792587*lu1^2 + 4428662*lu1^3)*(f44[t] - I*f44n[t]) - 144*(15 - 716*lu1 + 2631*lu1^2 + 8246*lu1^3)*(g44[t] - I*g44n[t])))))/ (572*(9 + 108*lu1 - 3751*lu1^2 - 24562*lu1^3 + 192700*lu1^4 + 452200*lu1^5)*Pi) + (375*lu1*mar*(14*(-1497 + 40016*lu1 + 51163*lu1^2 + 274286*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((40917 + 950068*lu1 - 305547*lu1^2 - 4591230*lu1^3)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((42693 - 1669750*lu1 + 3394299*lu1^2 + 882742*lu1^3)*(f44[t] - I*f44n[t]) - 48*(90 - 1293*lu1 + 2773*lu1^2 + 11438*lu1^3)*(g44[t] - I*g44n[t])))))/ (572*(9 + 108*lu1 - 3751*lu1^2 - 24562*lu1^3 + 192700*lu1^4 + 452200*lu1^5)*Pi) + (mar*(225*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-110*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 3*(f22[t] + I*f22n[t])*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f44[t] - I*f44n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g44[t] - I*g44n[t])))))/(1694*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*mar*(-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])*(-924*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f44[t] - I*f44n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g44[t] - I*g44n[t])))))/ (18876*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (75*mar*(-1848*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])) + 2*(f22[t] + I*f22n[t])*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f44[t] - I*f44n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g44[t] - I*g44n[t])))))/(572*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (375*lu1*mar*(24*(-1242 + 18129*lu1 + 143264*lu1^2 - 1642471*lu1^3 + 670636*lu1^4 + 8727460*lu1^5)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((53349 + 943313*lu1 - 16743161*lu1^2 - 237809257*lu1^3 - 240292800*lu1^4 + 536606700*lu1^5)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((15855 - 1783759*lu1 + 44631649*lu1^2 - 332979861*lu1^3 + 1200759800*lu1^4 + 3479680540*lu1^5)*(f44[t] - I*f44n[t]) - 14*(531 - 17751*lu1 + 52877*lu1^2 - 5004853*lu1^3 + 22766752*lu1^4 + 66276940*lu1^5)*(g44[t] - I*g44n[t])))))/ (572*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (25*(-1 + 5*lu1)*mar* (24*(-621 + 25581*lu1 - 115555*lu1^2 - 3337249*lu1^3 + 13966936*lu1^4 + 39929260*lu1^5)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((45453 + 723721*lu1 - 15522017*lu1^2 - 175147969*lu1^3 + 96070400*lu1^4 + 261573900*lu1^5)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((232059 + 426457*lu1 - 10852419*lu1^2 - 103294997*lu1^3 + 752088744*lu1^4 + 3321713500*lu1^5)*(f44[t] - I*f44n[t]) - 6*(-8331 - 402751*lu1 - 2040673*lu1^2 + 14568823*lu1^3 + 88240216*lu1^4 + 108057180*lu1^5)*(g44[t] - I*g44n[t])))))/ (572*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + ((-1 + 5*lu1)*mar*(77*(-1 + 7*lu1 + 170*lu1^2)^2* (73569 + 7663456*lu1 + 146062781*lu1^2 + 170404290*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(1320*(6921 - 72281*lu1 - 5376719*lu1^2 + 42850901*lu1^3 + 948570930*lu1^4 - 3307027088*lu1^5 - 44415785320*lu1^6 + 10425875600*lu1^7)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-75051939 + 883107100*lu1 + 51716547240*lu1^2 - 126079564462* lu1^3 - 1588775030873*lu1^4 - 67019962774086*lu1^5 + 251725232640980*lu1^6 + 963763136275800*lu1^7)*(f44[t] - I*f44n[t]) + (16544889 + 114610150*lu1 + 1555301860*lu1^2 + 240833765306*lu1^3 + 1231456168119*lu1^4 - 11485623854288* lu1^5 - 175282032698260*lu1^6 - 141578711083600*lu1^7)*( g44[t] - I*g44n[t])))))/(132132*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*lu1*mar*(385*(-1 + 7*lu1 + 170*lu1^2)^2*(267429 + 7280860*lu1 + 25294509*lu1^2 + 23520210*lu1^3)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-1320*(-9006 + 25443*lu1 + 6809589*lu1^2 - 15896417*lu1^3 - 1249365575*lu1^4 - 411613590*lu1^5 + 54862722220*lu1^6 + 64843076200*lu1^7)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((3515631 - 1182899294*lu1 + 22116133074* lu1^2 + 1251735654908*lu1^3 - 7731378719789*lu1^4 - 170894588244942*lu1^5 + 502734550929860*lu1^6 + 1475893204560600*lu1^7)*(f44[t] - I*f44n[t]) + 3*(6845213 + 272041778*lu1 + 1130089608*lu1^2 - 27321675426* lu1^3 + 423379151871*lu1^4 + 2807129489808*lu1^5 - 58438536229940*lu1^6 - 99839560192400*lu1^7)*(g44[t] - I*g44n[t])))))/(44044*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*lu1*mar*(-385*(-944577 - 11054934*lu1 + 404716546*lu1^2 + 2553297532*lu1^3 - 24188571277*lu1^4 - 62418863734*lu1^5 + 178461660900*lu1^6 + 385774985400*lu1^7)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (2*(-23394993 - 2685644627*lu1 - 52071613026*lu1^2 + 338641859302*lu1^3 + 10713307583171*lu1^4 + 42645245679657*lu1^ 5 + 25896347228800*lu1^6 - 60081566264300*lu1^7)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((89423967 + 2684086384*lu1 + 47201303152*lu1^2 + 441279930886* lu1^3 - 11550125601467*lu1^4 - 133777441146542*lu1^5 - 301612470543860*lu1^6 + 74782214232600*lu1^7)*(f44[t] - I*f44n[t]) + 120*(-229410 - 4158831*lu1 + 80454375*lu1^2 + 1189851405*lu1^3 - 3750104245*lu1^4 - 48970229770*lu1^5 + 47430706948*lu1^6 + 244515217240*lu1^7)*(g44[t] - I*g44n[t])))))/(44044*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + ((-1 + 5*lu1)*mar*(77*(4385763 + 50360598*lu1 - 1850957546*lu1^2 - 10973905488*lu1^3 + 98364032971*lu1^4 + 160451950074*lu1^5 - 25046954300*lu1^6 + 208700700600*lu1^7)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) - 2*(f22[t] - I*f22n[t])* (2*(-186070188 - 4792101277*lu1 + 7318000634*lu1^2 + 768655524832*lu1^3 + 9964524761286*lu1^4 + 45431857982537*lu1^ 5 + 40376930197660*lu1^6 - 76076088323900*lu1^7)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((501700371 + 9009908768*lu1 - 94119703416*lu1^2 - 1146674606618* lu1^3 - 11507111956599*lu1^4 - 90363215261150*lu1^5 - 378478338306660*lu1^6 + 43709195461400*lu1^7)*(f44[t] - I*f44n[t]) + 120*(33183 - 3524385*lu1 - 54943193*lu1^2 + 1547037961*lu1^3 + 6919177978*lu1^4 - 89888899760*lu1^5 - 30732612488*lu1^6 + 327162816400*lu1^7)*(g44[t] - I*g44n[t])))))/(132132*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*mar*f20[t]*(6*(-234 + 939*lu1 + 43785*lu1^2 + 124819*lu1^3 + 152549*lu1^4 + 38590*lu1^5)*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f44[t] - I*f44n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(g44[t] - I*g44n[t]))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (5*(-1 + 5*lu1)*mar*f20[t]* (-4*(-780372 + 4717650*lu1 + 174167551*lu1^2 + 254369793*lu1^3 - 303750461*lu1^4 - 811999527*lu1^5 + 318413926*lu1^6)* (f44[t] - I*f44n[t])*g20[t] + f20[t]* (18*(-555333 + 7062090*lu1 + 39323916*lu1^2 - 241046042*lu1^3 + 313931709*lu1^4 + 2812984016*lu1^5 + 3778518396*lu1^6)* (f44[t] - I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2* (21469 + 474542*lu1 + 953653*lu1^2)*(g44[t] - I*g44n[t]))))/ (6006*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (25*lu1*mar*f20[t]*(12*(109959 - 900935*lu1 - 21391850*lu1^2 - 88024240*lu1^3 - 45100375*lu1^4 + 188461983*lu1^5 + 289208850*lu1^6)*(f44[t] - I*f44n[t])*g20[t] + f20[t]*(2*(-403245 - 9508044*lu1 + 389428750*lu1^2 - 828704580*lu1^3 - 1971027725*lu1^4 + 18119354040*lu1^5 + 26315572612*lu1^6)*(f44[t] - I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(-35 - 1618*lu1 + 1463221*lu1^2)* (g44[t] - I*g44n[t]))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (135*mar*f20[t]*(2*(9 + 524*lu1 + 3333*lu1^2 + 10342*lu1^3)* (f44[t] - I*f44n[t])*g20[t] + f20[t]* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)* (f44[t] - I*f44n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(g44[t] - I*g44n[t]))))/ (1001*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (75*mar*f20[t]*(-((1905 + 178808*lu1 + 310117*lu1^2 + 1768242*lu1^3)* (f44[t] - I*f44n[t])*g20[t]) + 2*f20[t]* ((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)* (f44[t] - I*f44n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)* (g44[t] - I*g44n[t]))))/(6292*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (mar*f20[t]*((85407 + 1508158*lu1 + 849903*lu1^2 - 2751820*lu1^3)* (f44[t] - I*f44n[t])*g20[t] + 12*f20[t]* ((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)* (f44[t] - I*f44n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g44[t] - I*g44n[t]))))/ (363*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (mar*f20[t]*(5*(-1929 + 17167*lu1 + 291821*lu1^2 - 621183*lu1^3 + 2279080*lu1^4 + 12160100*lu1^5)*(f44[t] - I*f44n[t])*g20[t] + 6*f20[t]*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f44[t] - I*f44n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g44[t] - I*g44n[t]))))/ (363*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (75*mar*f20[t]*((-5613 + 29155*lu1 + 1307769*lu1^2 + 1369725*lu1^3 - 59417168*lu1^4 - 276225180*lu1^5)*(f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f44[t] - I*f44n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g44[t] - I*g44n[t]))))/ (6292*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - ((-1 + 5*lu1)*mar*f20[t]*((35345799 + 884291211*lu1 + 11607203701*lu1^2 + 200685665965*lu1^3 + 74048538680*lu1^4 - 254865736300*lu1^5)*(f44[t] - I*f44n[t])*g20[t] + 6*f20[t]*((-8118621 - 72992079*lu1 - 1336842179*lu1^2 - 53596970285*lu1^3 + 76685344400*lu1^4 + 38032095500*lu1^5)* (f44[t] - I*f44n[t]) + 120*(567 + 19479*lu1 + 745421*lu1^2 - 5061735*lu1^3 - 5924024*lu1^4 + 14068740*lu1^5)* (g44[t] - I*g44n[t]))))/(18876*(-1 + 7*lu1 + 170*lu1^2)^2* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*lu1*mar*f20[t]*((22229271 + 924788715*lu1 + 17795064373*lu1^2 + 153158155309*lu1^3 - 4916698840*lu1^4 - 336763535500*lu1^5)* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]* ((-15946551 - 309999333*lu1 - 7941625705*lu1^2 - 101464250911*lu1^ 3 + 104261152000*lu1^4 + 83014248100*lu1^5)* (f44[t] - I*f44n[t]) + 360*(2070 + 22773*lu1 + 89520*lu1^2 - 2724611*lu1^3 + 2099652*lu1^4 + 15515780*lu1^5)* (g44[t] - I*g44n[t]))))/(6292*(-1 + 7*lu1 + 170*lu1^2)^2* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + ((-1 + 5*lu1)*mar*f20[t]*(11*(-142173 - 16998030*lu1 + 104497634*lu1^2 + 6711236820*lu1^3 - 21559475393*lu1^4 - 548129968150*lu1^5 + 1181234865300*lu1^6 + 3979565275000*lu1^7)* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]* (3*(-18592227 + 368620740*lu1 + 10001481440*lu1^2 - 112544844726*lu1^3 + 400669583311*lu1^4 - 4752330588838*lu1^5 + 16068696145140*lu1^6 + 59746670397400*lu1^7)* (f44[t] - I*f44n[t]) - 4*(-1052289 + 2389320*lu1 - 1380261205*lu1^2 - 40768352871*lu1^3 + 30074537326*lu1^4 + 885400769783*lu1^5 + 4736558821860*lu1^6 + 6779948541100*lu1^7)* (g44[t] - I*g44n[t]))))/(18876*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*lu1*mar*f20[t]*(55*(-172161 - 4306542*lu1 + 104138162*lu1^2 + 1710636540*lu1^3 - 12500490077*lu1^4 - 184052663998*lu1^5 - 123430861500*lu1^6 + 562850507800*lu1^7)*(f44[t] - I*f44n[t])* g20[t] + 2*f20[t]*((36219519 + 794808084*lu1 - 14214969544*lu1^2 + 20381370102*lu1^3 + 2100562187149*lu1^4 - 21029776291378*lu1^ 5 + 58727980133340*lu1^6 + 184999553691400*lu1^7)* (f44[t] - I*f44n[t]) - 4*(-4113819 - 135348129*lu1 - 880442194*lu1^2 + 11525764278*lu1^3 + 51746526637*lu1^4 - 1141741719649*lu1^5 + 3446184885120*lu1^6 + 11668858194700*lu1^ 7)*(g44[t] - I*g44n[t]))))/(6292*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (2*Sqrt[5]*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-15579 + 445797*lu1 - 2967881* lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)* f40[t] - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*g40[t]) - 4*(23 + 1751*lu1)* (-3 + 13*lu1 + 38*lu1^2)^2*f40[t]*(g44[t] - I*g44n[t]))))/ (77*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) - (45*Sqrt[5]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* ((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*g40[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(11011*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (135*Sqrt[5]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*(2*(f44[t] - I*f44n[t])*(3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)* g40[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(11011*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (2*Sqrt[5]*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* (-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*f40[t] + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*g40[t]) + 5*(51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (27*Sqrt[5]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*g40[t]) - 20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (30*Sqrt[5]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* ((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*f40[t] + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*g40[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (10*Sqrt[5]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* ((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*f40[t] + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*g40[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (9*Sqrt[5]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* ((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*g40[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar*(-10*(-5429586 + 88564904*lu1 + 5047716841*lu1^2 - 36916353080*lu1^3 - 1033838002320*lu1^4 - 2617993572332*lu1^5 + 317971338973*lu1^6 + 2280193556452*lu1^7 + 193907120820*lu1^8)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((5051373 - 517560964*lu1 + 5068115698*lu1^2 + 412336802540*lu1^3 - 6610489078555*lu1^4 - 68062886567904*lu1^5 - 19661226041148*lu1^6 + 152514276865136* lu1^7 + 125716875930240*lu1^8)*f40[t] + 8*(238653 - 6214671*lu1 - 194578980*lu1^2 + 2707542310*lu1^3 + 36494981765*lu1^4 - 89034204019*lu1^5 - 1139559319062*lu1^6 - 823173407220*lu1^7 + 1713934957000*lu1^8)*g40[t]) - 77*(-3 + 13*lu1 + 38*lu1^2)^2*(-3927 - 71233*lu1 + 3805909*lu1^2 + 86722469*lu1^3 + 210535710*lu1^4)*f40[t]* (g44[t] - I*g44n[t]))))/(11011*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (45*Sqrt[5]*lu1*mar*(2*(-10230804 + 178208328*lu1 + 9587364405*lu1^2 - 82481126000*lu1^3 - 2147901914130*lu1^4 - 9420535189188*lu1^5 - 9756917811899*lu1^6 + 8702268442020*lu1^7 + 7946543642100*lu1^8)* f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-8259309 + 304439208*lu1 + 2387282854*lu1^2 - 142858645540*lu1^3 + 2060705685435*lu1^4 + 33597654688612*lu1^5 + 67325105515076*lu1^6 - 79218729015552* lu1^7 - 145488041707680*lu1^8)*f40[t] - 80*(17172 - 465363*lu1 - 16049112*lu1^2 + 267098170*lu1^3 + 2586173600* lu1^4 - 17865725491*lu1^5 - 40583562276*lu1^6 + 57335595636*lu1^7 + 102211180960*lu1^8)*g40[t]) + 77*(-3 + 13*lu1 + 38*lu1^2)^2*(-3696 - 74183*lu1 + 3466352*lu1^2 + 88904533*lu1^3 + 340371570*lu1^4)*f40[t]* (g44[t] - I*g44n[t]))))/(11011*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (90*Sqrt[5]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*f40[t] - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*g40[t]) - 210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (15*Sqrt[5]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*f40[t]*(f44[t] - I*f44n[t])* g20[t] + f20[t]*((f44[t] - I*f44n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*f40[t] - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*g40[t]) + 168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (3*Sqrt[5]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*((f44[t] - I*f44n[t])* (8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*g40[t]) - 12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (90*Sqrt[5]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*(6*(f44[t] - I*f44n[t])*((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*f40[t] - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*g40[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (3*Sqrt[5]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*(4*(f44[t] - I*f44n[t])* (2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*g40[ t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[5]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*f40[t]*(f44[t] - I*f44n[t])* g20[t] + f20[t]*(4*(f44[t] - I*f44n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*f40[t] + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*g40[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*f40[t]*(g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (45*Sqrt[5]*lu1*mar*(22*(-3198 + 20681*lu1 + 2109437*lu1^2 - 3966309*lu1^3 - 320638135*lu1^4 - 1054546000*lu1^5 + 1723774500*lu1^6)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*(3*(f44[t] - I*f44n[t])*((163625 - 2968359*lu1 - 64365245*lu1^2 + 713776023*lu1^3 - 17658124296*lu1^4 - 19148179700*lu1^5 + 480638317600*lu1^6)*f40[t] + 11*(-7296 + 9745*lu1 + 8404009*lu1^2 + 43339395*lu1^3 - 1894605785*lu1^4 - 13409474000*lu1^5 + 22935643500*lu1^6)*g40[ t]) + (376101 + 3769856*lu1 - 391843000*lu1^2 - 4778136018*lu1^3 + 50732527451*lu1^4 + 409196691650*lu1^5 - 1093609788600*lu1^6)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 + 29*lu1 + 2310*lu1^2)*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar*(6*(-223623 + 193518*lu1 + 165379535*lu1^2 + 1491108743*lu1^3 + 3912843118*lu1^4 - 2843844905*lu1^5 + 1086551550*lu1^6)*f40[t]*(f44[t] - I*f44n[t])* g20[t] + f20[t]*(3*(f44[t] - I*f44n[t])*((601719 - 3650129*lu1 - 311846975*lu1^2 - 3142738939*lu1^3 - 21163491604*lu1^4 + 83471562720*lu1^5 + 73821673800*lu1^6)*f40[t] - 55*(-1395 + 8262*lu1 + 1229864*lu1^2 + 2979446*lu1^3 - 81271265*lu1^4 + 24060436*lu1^5 + 377717340*lu1^6)*g40[t]) - 20*(63 - 65376*lu1 + 219518*lu1^2 + 1135772*lu1^3 - 12688625*lu1^4 + 57012988*lu1^5 + 168258300*lu1^6)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^2* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (45*Sqrt[5]*lu1*mar*(2*(-395997 - 3745490*lu1 + 343642573*lu1^2 + 4655584053*lu1^3 + 1302047866*lu1^4 - 10087575935*lu1^5 + 31433200050*lu1^6)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((918597 + 17089981*lu1 - 811505437*lu1^2 - 13340548881*lu1^3 - 27164859548*lu1^4 + 294495197840*lu1^5 + 302421651000*lu1^6)*f40[t] - 11*(-34920 + 224073*lu1 + 31210153*lu1^2 + 52482451*lu1^3 - 2467677121*lu1^4 + 3072532520*lu1^5 + 15945675900*lu1^6)*g40[ t]) - 4*(-6462 - 61083*lu1 - 372935*lu1^2 + 9891007*lu1^3 - 120153523*lu1^4 + 405851840*lu1^5 + 1375871700*lu1^6)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^2* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*(110*(-399 - 10084*lu1 + 533030*lu1^2 + 4061496*lu1^3 - 106845811*lu1^4 - 683427340*lu1^5 + 1972103700*lu1^6)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*(3*(116965 + 2087185*lu1 - 164972557*lu1^2 - 519505105*lu1^3 + 10886712508*lu1^4 - 172257515140*lu1^5 + 489861223600*lu1^6)*f40[t] + 55*(-2361 + 32450*lu1 + 2218640*lu1^2 - 11320950*lu1^3 - 396020779*lu1^4 - 593314300*lu1^5 + 5767584900*lu1^6)*g40[ t]) - 3*(-120029 - 329234*lu1 + 88259762*lu1^2 + 1121686096*lu1^3 + 1825710091*lu1^4 - 22679842630*lu1^5 + 176716348200*lu1^6)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 + 29*lu1 + 2310*lu1^2)*Pi) + (45*Sqrt[5]*lu1*mar*(11*(-1 + 7*lu1 + 170*lu1^2)^2* (-11211 - 261284*lu1 + 66621*lu1^2 + 1387890*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*((f44[t] - I*f44n[t])* ((14343 + 27471920*lu1 - 128779100*lu1^2 - 1520314982*lu1^3 + 33008810137*lu1^4 - 185439629282*lu1^5 + 259083063820*lu1^6 + 1314323213000*lu1^7)*f40[t] - 2*(-10674 + 210573*lu1 + 3606991*lu1^2 - 49762371*lu1^3 - 480934045*lu1^4 + 1652034586*lu1^5 + 11946107700*lu1^6 + 14333383400*lu1^7)*g40[ t]) + 2*(115677 + 2276841*lu1 + 72913189*lu1^2 + 602699937*lu1^3 - 2800270798*lu1^4 - 15352612334*lu1^5 - 73349808120*lu1^6 - 115132221400*lu1^7)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*(495*(-1 + 7*lu1 + 170*lu1^2)^2* (-159 - 3614*lu1 + 2783*lu1^2 + 12670*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*((f44[t] - I*f44n[t])* (3*(-145839 + 10174420*lu1 + 11626176*lu1^2 - 1372716102*lu1^3 + 18573125115*lu1^4 - 70326367062*lu1^5 - 64451274780*lu1^6 + 392187383000*lu1^7)*f40[t] + 2*(4599 - 261360*lu1 + 570044*lu1^2 + 73682562*lu1^3 - 284538095*lu1^4 - 5249307658*lu1^5 + 18707013900*lu1^6 + 54991589800*lu1^7)*g40[ t]) + (148869 + 340035*lu1 + 159070421*lu1^2 + 2836869741*lu1^3 - 6179530118*lu1^4 - 87184000444*lu1^5 - 175204198920*lu1^6 - 91411006400*lu1^7)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (45*Sqrt[5]*lu1*mar*(11*(-1 + 7*lu1 + 170*lu1^2)^2* (-11211 - 261284*lu1 + 66621*lu1^2 + 1387890*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*((f44[t] - I*f44n[t])* ((14343 + 27471920*lu1 - 128779100*lu1^2 - 1520314982*lu1^3 + 33008810137*lu1^4 - 185439629282*lu1^5 + 259083063820*lu1^6 + 1314323213000*lu1^7)*f40[t] + 2*(115677 + 2276841*lu1 + 72913189*lu1^2 + 602699937*lu1^3 - 2800270798*lu1^4 - 15352612334*lu1^5 - 73349808120*lu1^6 - 115132221400*lu1^7)* g40[t]) - 2*(-10674 + 210573*lu1 + 3606991*lu1^2 - 49762371*lu1^3 - 480934045*lu1^4 + 1652034586*lu1^5 + 11946107700*lu1^6 + 14333383400*lu1^7)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*(495*(-1 + 7*lu1 + 170*lu1^2)^2* (-159 - 3614*lu1 + 2783*lu1^2 + 12670*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*((f44[t] - I*f44n[t])* (3*(-145839 + 10174420*lu1 + 11626176*lu1^2 - 1372716102*lu1^3 + 18573125115*lu1^4 - 70326367062*lu1^5 - 64451274780*lu1^6 + 392187383000*lu1^7)*f40[t] + (148869 + 340035*lu1 + 159070421*lu1^2 + 2836869741*lu1^3 - 6179530118*lu1^4 - 87184000444*lu1^5 - 175204198920*lu1^6 - 91411006400*lu1^7)* g40[t]) + 2*(4599 - 261360*lu1 + 570044*lu1^2 + 73682562*lu1^3 - 284538095*lu1^4 - 5249307658*lu1^5 + 18707013900*lu1^6 + 54991589800*lu1^7)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar*(22*(1683 - 281049*lu1 + 1614656*lu1^2 - 42977678*lu1^3 - 285048597*lu1^4 + 13936398771*lu1^5 + 203819793130*lu1^6 + 1279769079300*lu1^7 + 311382421000*lu1^8)* f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((13061277 - 337131956*lu1 - 11310505530*lu1^2 + 235686088332*lu1^3 + 2052162874077* lu1^4 - 11260082199872*lu1^5 - 143259313340136*lu1^6 + 3922283288000*lu1^7 + 559804403947600*lu1^8)*f40[t] + (3677193 - 72303589*lu1 - 3990116854*lu1^2 + 41869928482* lu1^3 + 1491077763933*lu1^4 + 3144906871271*lu1^5 - 32592644203520*lu1^6 - 3214806785300*lu1^7 + 75763337328000* lu1^8)*g40[t]) - 231*(-5985 + 13131*lu1 + 7007816*lu1^2 + 30125578*lu1^3 - 1728967161*lu1^4 - 11047138393*lu1^5 + 59238768058*lu1^6 + 331205226900*lu1^7 + 365260480200*lu1^8)* f40[t]*(g44[t] - I*g44n[t]))))/(11011*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (45*Sqrt[5]*lu1*mar*(22*(414 - 166587*lu1 - 4795922*lu1^2 + 92518186*lu1^3 + 240437734*lu1^4 - 3569535427*lu1^5 + 118817688670*lu1^6 + 685216877500*lu1^7 + 1336957741000*lu1^8)* f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((2316237 - 40822388*lu1 - 3318573562*lu1^2 + 38505957996*lu1^3 + 1766736247789*lu1^4 - 7353566317536*lu1^5 - 71249504539752*lu1^6 - 20946963115200* lu1^7 + 128953950437200*lu1^8)*f40[t] + (3099459 - 44404357*lu1 - 3574789202*lu1^2 + 24908748106*lu1^3 + 1260241111399*lu1^4 + 4349254167823*lu1^5 - 48890241476120* lu1^6 - 32206847722900*lu1^7 + 162338249136000*lu1^8)*g40[ t]) - 231*(6552 - 207*lu1 - 8633126*lu1^2 - 30553446*lu1^3 + 2588549888*lu1^4 + 6354015841*lu1^5 - 148153942674*lu1^6 + 49647697100*lu1^7 + 700899599400*lu1^8)*f40[t]* (g44[t] - I*g44n[t]))))/(11011*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f42[t] - I*f42n[t]) - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(g42[t] - I*g42n[t])) - 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (135*Sqrt[3]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] - I*f42n[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(g42[t] - I*g42n[t])) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (405*Sqrt[3]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f44[t] - I*f44n[t])* (3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] - I*f42n[t]) + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*(g42[t] - I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f42[t] - I*f42n[t]) + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(g42[t] - I*g42n[t])) + 5*(51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (405*Sqrt[3]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] - I*f42n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(g42[t] - I*g42n[t])) - 20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (-5*(f44[t] - I*f44n[t])*((-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f42[t] - I*f42n[t]) + (-51 - 1936*lu1 + 9993*lu1^2 + 27322*lu1^3)*(g42[t] - I*g42n[t])) + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] - I*f42n[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*(g42[t] - I*g42n[t])) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*Sqrt[3]*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)* Pi) + (10*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] - I*f42n[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*(g42[t] - I*g42n[t])) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*Sqrt[3]*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)* Pi) + (135*Sqrt[3]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] - I*f42n[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*(g42[t] - I*g42n[t])) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*((104002293 - 1132117829*lu1 - 93239688154*lu1^2 + 195302515570*lu1^3 + 11759433442545*lu1^4 + 34331039445991*lu1^5 + 2420970520532*lu1^6 - 34265752344068* lu1^7 - 7668489412080*lu1^8)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-19664331 - 126366389*lu1 + 21024133334* lu1^2 + 272461205890*lu1^3 - 3157605493055*lu1^4 - 42568240687737*lu1^5 - 15980012785068*lu1^6 + 119150619731068* lu1^7 + 103547030215440*lu1^8)*(f42[t] - I*f42n[t]) + 4*(378324 - 6451551*lu1 - 334057914*lu1^2 + 2641681130*lu1^3 + 53276139620*lu1^4 - 141876528687*lu1^5 - 1327698704622* lu1^6 - 425887917668*lu1^7 + 2576579372920*lu1^8)*(g42[t] - I*g42n[t])) - 154*(-3 + 13*lu1 + 38*lu1^2)^2* (-1371 - 18712*lu1 + 1242217*lu1^2 + 25796714*lu1^3 + 94284960*lu1^4)*(f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (75*Sqrt[3]*lu1*mar*((-47530629 + 271252941*lu1 + 45430232098*lu1^2 + 102752516510*lu1^3 - 5800677101905*lu1^4 - 25917349116863*lu1^5 - 22852523960908*lu1^6 + 23115515058116*lu1^7 + 15020088546960* lu1^8)*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-3231927 - 345815643*lu1 + 8039162538* lu1^2 + 291735166150*lu1^3 - 1791844925275*lu1^4 - 24281164395999*lu1^5 - 33026696685176*lu1^6 + 87816575232596* lu1^7 + 125376186727680*lu1^8)*(f42[t] - I*f42n[t]) + 16*(82809 - 1740582*lu1 - 67444137*lu1^2 + 872310800*lu1^3 + 7690297955*lu1^4 - 52673147382*lu1^5 - 115847580039*lu1^6 + 199774421836*lu1^7 + 350495594260*lu1^8)*(g42[t] - I*g42n[t])) - 154*(-3 + 13*lu1 + 38*lu1^2)^2* (69 - 30850*lu1 + 4753*lu1^2 + 25501808*lu1^3 + 180092220*lu1^4)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (30*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] - I*f42n[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(g42[t] - I*g42n[t])) - 210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(143*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (5*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f42[t] - I*f42n[t]) - 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g42[t] - I*g42n[t])) - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (5*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] - I*f42n[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251* lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(g42[t] - I*g42n[t])) + 168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*Sqrt[3]*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (75*Sqrt[3]*lu1*mar* ((16467 + 276899*lu1 - 5424263*lu1^2 - 69025411*lu1^3 - 9848400*lu1^4 + 257504100*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(2*(73941 - 2108740*lu1 + 30716709*lu1^2 - 126210202*lu1^3 + 111142524*lu1^4 + 863775080*lu1^5)*( f42[t] - I*f42n[t]) - 7*(1881 - 210225*lu1 + 179435*lu1^2 + 1140197*lu1^3 + 27293788*lu1^4 + 54886060*lu1^5)*(g42[t] - I*g42n[t])) + 4*(-1854 + 22797*lu1 + 262196*lu1^2 - 1802083*lu1^3 - 2519060*lu1^4 + 3843700*lu1^5)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (30*Sqrt[3]*mar* (-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (6*(f44[t] - I*f44n[t])*((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] - I*f42n[t]) - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(g42[t] - I*g42n[t])) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(143*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (75*Sqrt[3]*lu1*mar*((16467 + 276899*lu1 - 5424263*lu1^2 - 69025411*lu1^3 - 9848400*lu1^4 + 257504100*lu1^5)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((73941 - 2108740*lu1 + 30716709*lu1^2 - 126210202*lu1^3 + 111142524*lu1^4 + 863775080*lu1^5)*(f42[t] - I*f42n[t]) + 2*(-1854 + 22797*lu1 + 262196*lu1^2 - 1802083*lu1^3 - 2519060*lu1^4 + 3843700*lu1^5)*(g42[t] - I*g42n[t])) - 7*(1881 - 210225*lu1 + 179435*lu1^2 + 1140197*lu1^3 + 27293788*lu1^4 + 54886060*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(143*(-1 + 7*lu1 + 170*lu1^2)^2* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(3*(4887 + 78609*lu1 - 1657943*lu1^2 - 19130501*lu1^3 + 7856600*lu1^4 + 36283100*lu1^5)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])* (2*(98073 - 1518684*lu1 + 32040793*lu1^2 - 122526794*lu1^3 - 184754740*lu1^4 + 778646120*lu1^5)*(f42[t] - I*f42n[t]) - 3*(-11031 - 944917*lu1 - 707261*lu1^2 + 29125233*lu1^3 + 90179900*lu1^4 + 72966460*lu1^5)*(g42[t] - I*g42n[t])) + 4*(-801 + 35433*lu1 - 176671*lu1^2 - 4675837*lu1^3 + 20026840*lu1^4 + 56751100*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(143*(-1 + 7*lu1 + 170*lu1^2)^2* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(3*(4887 + 78609*lu1 - 1657943*lu1^2 - 19130501*lu1^3 + 7856600*lu1^4 + 36283100*lu1^5)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((98073 - 1518684*lu1 + 32040793*lu1^2 - 122526794*lu1^3 - 184754740*lu1^4 + 778646120*lu1^5)*(f42[t] - I*f42n[t]) + 2*(-801 + 35433*lu1 - 176671*lu1^2 - 4675837*lu1^3 + 20026840*lu1^4 + 56751100*lu1^5)*(g42[t] - I*g42n[t])) - 3*(-11031 - 944917*lu1 - 707261*lu1^2 + 29125233*lu1^3 + 90179900*lu1^4 + 72966460*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(143*(-1 + 7*lu1 + 170*lu1^2)^2* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (4*(f44[t] - I*f44n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] - I*f42n[t]) + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(g42[t] - I*g42n[t])) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*Sqrt[3]*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (75*Sqrt[3]*lu1*mar* (-88*(-10638 + 170301*lu1 + 9051578*lu1^2 - 78288158*lu1^3 - 1651130310*lu1^4 + 2056792221*lu1^5 + 67931166874*lu1^6 + 278053863180*lu1^7 + 441933465400*lu1^8)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(f44[t] - I*f44n[t])*((-10973424 + 218629627*lu1 + 7659728942*lu1^2 - 91561413042*lu1^3 - 329325804200*lu1^4 + 1926081450075*lu1^5 + 25919777550282*lu1^6 + 37269171013380* lu1^7 + 2393998276600*lu1^8)*(f42[t] - I*f42n[t]) + 462*(5193 - 15588*lu1 - 6407746*lu1^2 - 14007012*lu1^3 + 1791528937*lu1^4 + 4538436416*lu1^5 - 94948367544*lu1^6 - 7806694400*lu1^7 + 371781656400*lu1^8)*(g42[t] - I*g42n[t])) + (-13481985 - 6218453*lu1 + 15176858926*lu1^2 + 85315950170*lu1^3 - 3037148361069*lu1^4 - 11473687924529*lu1^ 5 + 119921789288576*lu1^6 + 68826744964940*lu1^7 - 399008763871200*lu1^8)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(-88*(9549 - 19308*lu1 - 11671634*lu1^2 - 11879416*lu1^3 + 3143312265*lu1^4 + 8597900652*lu1^5 - 191620675852*lu1^6 - 561296221440*lu1^7 + 49595772800*lu1^8)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])* (2*(14923341 - 158254621*lu1 - 15019865708*lu1^2 + 64120386282* lu1^3 + 2700513405629*lu1^4 - 10333624117377*lu1^5 - 81625952828742*lu1^6 + 8348555102580*lu1^7 + 267122019386600* lu1^8)*(f42[t] - I*f42n[t]) + (16512561 - 81901807*lu1 - 15824383550*lu1^2 - 49623472370*lu1^3 + 2123270135485*lu1^4 + 10069208692477*lu1^5 - 59536248932624*lu1^6 - 24766093049500* lu1^7 + 183539610156000*lu1^8)*(g42[t] - I*g42n[t])) - 924*(-1539 - 3636*lu1 + 1900062*lu1^2 + 14479652*lu1^3 - 481903931*lu1^4 - 4164925272*lu1^5 + 14349650648*lu1^6 + 129092744800*lu1^7 + 175519621200*lu1^8)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (75*Sqrt[3]*lu1*mar*((-47530629 + 271252941*lu1 + 45430232098*lu1^2 + 102752516510*lu1^3 - 5800677101905*lu1^4 - 25917349116863*lu1^5 - 22852523960908*lu1^6 + 23115515058116*lu1^7 + 15020088546960* lu1^8)*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-3231927 - 345815643*lu1 + 8039162538* lu1^2 + 291735166150*lu1^3 - 1791844925275*lu1^4 - 24281164395999*lu1^5 - 33026696685176*lu1^6 + 87816575232596* lu1^7 + 125376186727680*lu1^8)*(f42[t] - I*f42n[t]) - 154*(-3 + 13*lu1 + 38*lu1^2)^2*(69 - 30850*lu1 + 4753*lu1^2 + 25501808*lu1^3 + 180092220*lu1^4)*(g42[t] - I*g42n[t])) + 16*(82809 - 1740582*lu1 - 67444137*lu1^2 + 872310800*lu1^3 + 7690297955*lu1^4 - 52673147382*lu1^5 - 115847580039*lu1^6 + 199774421836*lu1^7 + 350495594260*lu1^8)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (75*Sqrt[3]*lu1*mar*(-88*(-10638 + 170301*lu1 + 9051578*lu1^2 - 78288158*lu1^3 - 1651130310*lu1^4 + 2056792221*lu1^5 + 67931166874*lu1^6 + 278053863180*lu1^7 + 441933465400*lu1^8)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])* (2*(-10973424 + 218629627*lu1 + 7659728942*lu1^2 - 91561413042* lu1^3 - 329325804200*lu1^4 + 1926081450075*lu1^5 + 25919777550282*lu1^6 + 37269171013380*lu1^7 + 2393998276600* lu1^8)*(f42[t] - I*f42n[t]) + (-13481985 - 6218453*lu1 + 15176858926*lu1^2 + 85315950170*lu1^3 - 3037148361069*lu1^4 - 11473687924529*lu1^5 + 119921789288576*lu1^6 + 68826744964940* lu1^7 - 399008763871200*lu1^8)*(g42[t] - I*g42n[t])) + 924*(5193 - 15588*lu1 - 6407746*lu1^2 - 14007012*lu1^3 + 1791528937*lu1^4 + 4538436416*lu1^5 - 94948367544*lu1^6 - 7806694400*lu1^7 + 371781656400*lu1^8)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*((104002293 - 1132117829*lu1 - 93239688154*lu1^2 + 195302515570*lu1^3 + 11759433442545*lu1^4 + 34331039445991*lu1^5 + 2420970520532*lu1^6 - 34265752344068* lu1^7 - 7668489412080*lu1^8)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-19664331 - 126366389*lu1 + 21024133334* lu1^2 + 272461205890*lu1^3 - 3157605493055*lu1^4 - 42568240687737*lu1^5 - 15980012785068*lu1^6 + 119150619731068* lu1^7 + 103547030215440*lu1^8)*(f42[t] - I*f42n[t]) - 154*(-3 + 13*lu1 + 38*lu1^2)^2*(-1371 - 18712*lu1 + 1242217*lu1^2 + 25796714*lu1^3 + 94284960*lu1^4)*(g42[t] - I*g42n[t])) + 4*(378324 - 6451551*lu1 - 334057914*lu1^2 + 2641681130*lu1^3 + 53276139620*lu1^4 - 141876528687*lu1^5 - 1327698704622*lu1^6 - 425887917668*lu1^7 + 2576579372920*lu1^8)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (-88*(9549 - 19308*lu1 - 11671634*lu1^2 - 11879416*lu1^3 + 3143312265*lu1^4 + 8597900652*lu1^5 - 191620675852*lu1^6 - 561296221440*lu1^7 + 49595772800*lu1^8)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(f44[t] - I*f44n[t])*((14923341 - 158254621*lu1 - 15019865708* lu1^2 + 64120386282*lu1^3 + 2700513405629*lu1^4 - 10333624117377*lu1^5 - 81625952828742*lu1^6 + 8348555102580* lu1^7 + 267122019386600*lu1^8)*(f42[t] - I*f42n[t]) - 462*(-1539 - 3636*lu1 + 1900062*lu1^2 + 14479652*lu1^3 - 481903931*lu1^4 - 4164925272*lu1^5 + 14349650648*lu1^6 + 129092744800*lu1^7 + 175519621200*lu1^8)*(g42[t] - I*g42n[t])) + (16512561 - 81901807*lu1 - 15824383550*lu1^2 - 49623472370*lu1^3 + 2123270135485*lu1^4 + 10069208692477*lu1^ 5 - 59536248932624*lu1^6 - 24766093049500*lu1^7 + 183539610156000*lu1^8)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f42[t] + I*f42n[t]) - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(g42[t] + I*g42n[t])) - 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (135*Sqrt[3]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] + I*f42n[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(g42[t] + I*g42n[t])) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (405*Sqrt[3]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f44[t] - I*f44n[t])* (3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] + I*f42n[t]) + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*(g42[t] + I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*(-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f42[t] + I*f42n[t]) + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(g42[t] + I*g42n[t])) + 5*(51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*Sqrt[3]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f42[t] + I*f42n[t]) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)*(g42[t] + I*g42n[t])) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*Sqrt[3]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f42[t] + I*f42n[t]) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)*(g42[t] + I*g42n[t])) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*Sqrt[3]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] + I*f42n[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*(g42[t] + I*g42n[t])) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (10*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] + I*f42n[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*(g42[t] + I*g42n[t])) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*Sqrt[3]*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)* Pi) + (75*Sqrt[3]*lu1*mar*(2*(4350 + 20593*lu1 - 1272130*lu1^2 - 7450007*lu1^3 + 29805930*lu1^4)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (3*(f44[t] - I*f44n[t])*((-1423 + 80432*lu1 - 6881603*lu1^2 - 43207918*lu1^3 + 424427920*lu1^4)*(f42[t] + I*f42n[t]) + (9852 + 49649*lu1 - 9178964*lu1^2 - 109701883*lu1^3 + 148124130*lu1^4)*(g42[t] + I*g42n[t])) - 28*(837 + 15556*lu1 - 583879*lu1^2 - 8207906*lu1^3 + 24780000*lu1^4)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 + 29*lu1 + 2310*lu1^2)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*((104002293 - 1132117829*lu1 - 93239688154*lu1^2 + 195302515570*lu1^3 + 11759433442545*lu1^4 + 34331039445991*lu1^5 + 2420970520532*lu1^6 - 34265752344068* lu1^7 - 7668489412080*lu1^8)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*((-19664331 - 126366389*lu1 + 21024133334* lu1^2 + 272461205890*lu1^3 - 3157605493055*lu1^4 - 42568240687737*lu1^5 - 15980012785068*lu1^6 + 119150619731068* lu1^7 + 103547030215440*lu1^8)*(f42[t] + I*f42n[t]) + 4*(378324 - 6451551*lu1 - 334057914*lu1^2 + 2641681130*lu1^3 + 53276139620*lu1^4 - 141876528687*lu1^5 - 1327698704622* lu1^6 - 425887917668*lu1^7 + 2576579372920*lu1^8)*(g42[t] + I*g42n[t])) - 154*(-3 + 13*lu1 + 38*lu1^2)^2* (-1371 - 18712*lu1 + 1242217*lu1^2 + 25796714*lu1^3 + 94284960*lu1^4)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* (2*(2091 + 124309*lu1 - 1944169*lu1^2 - 19308281*lu1^3 + 104733090*lu1^4)*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*((8865 - 672256*lu1 + 8379133*lu1^2 - 572039470*lu1^3 + 1520361360*lu1^4)*(f42[t] + I*f42n[t]) + (23781 - 129617*lu1 - 19518079*lu1^2 - 74909267*lu1^3 + 182852670*lu1^4)*(g42[t] + I*g42n[t])) - 2*(4953 + 24848*lu1 + 1776829*lu1^2 + 15127610*lu1^3 + 175166880*lu1^4)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 + 29*lu1 + 2310*lu1^2)*Pi) + (75*Sqrt[3]*lu1*mar*((-47530629 + 271252941*lu1 + 45430232098*lu1^2 + 102752516510*lu1^3 - 5800677101905*lu1^4 - 25917349116863*lu1^5 - 22852523960908*lu1^6 + 23115515058116*lu1^7 + 15020088546960* lu1^8)*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) - 2*(f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*((-3231927 - 345815643*lu1 + 8039162538* lu1^2 + 291735166150*lu1^3 - 1791844925275*lu1^4 - 24281164395999*lu1^5 - 33026696685176*lu1^6 + 87816575232596* lu1^7 + 125376186727680*lu1^8)*(f42[t] + I*f42n[t]) + 16*(82809 - 1740582*lu1 - 67444137*lu1^2 + 872310800*lu1^3 + 7690297955*lu1^4 - 52673147382*lu1^5 - 115847580039*lu1^6 + 199774421836*lu1^7 + 350495594260*lu1^8)*(g42[t] + I*g42n[t])) - 154*(-3 + 13*lu1 + 38*lu1^2)^2* (69 - 30850*lu1 + 4753*lu1^2 + 25501808*lu1^3 + 180092220*lu1^4)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (10*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] + I*f42n[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(g42[t] + I*g42n[t])) - 210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (5*Sqrt[3]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] + I*f42n[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251* lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(g42[t] + I*g42n[t])) + 168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(143*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (45*Sqrt[3]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] + I*f42n[t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(g42[t] + I*g42n[t])) - 12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (10*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (6*(f44[t] - I*f44n[t])*((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] + I*f42n[t]) - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(g42[t] + I*g42n[t])) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (45*Sqrt[3]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(4*(f44[t] - I*f44n[t])* (2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] + I*f42n[t]) - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(g42[t] + I*g42n[t])) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (4*(f44[t] - I*f44n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] + I*f42n[t]) + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(g42[t] + I*g42n[t])) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*Sqrt[3]*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (75*Sqrt[3]*lu1*mar* (7*(-3831 - 69362*lu1 + 2369008*lu1^2 + 10780806*lu1^3 - 199109381*lu1^4 - 230619332*lu1^5 + 1590270780*lu1^6)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((103281 + 1154921*lu1 - 76876253*lu1^2 - 236636697*lu1^3 - 1151604880*lu1^4 + 32901061420*lu1^5 + 19010248320*lu1^6)*(f42[t] + I*f42n[t]) - (-57924 + 248859*lu1 + 52567171*lu1^2 + 190958665*lu1^3 - 3834698479*lu1^4 + 707197448*lu1^5 + 17451454020*lu1^6)*( g42[t] + I*g42n[t])) - 8*(-1278 + 1449*lu1 + 460789*lu1^2 - 410717*lu1^3 - 31542943*lu1^4 + 69631784*lu1^5 + 254905140*lu1^6)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* ((-28773 + 76590*lu1 - 2562412*lu1^2 + 79417118*lu1^3 + 1397863981*lu1^4 + 145659508*lu1^5 + 3143434980*lu1^6)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(3*(f44[t] - I*f44n[t])* ((45363 - 559021*lu1 - 3694783*lu1^2 - 149073539*lu1^3 - 920316392*lu1^4 + 8575212420*lu1^5 + 4151538720*lu1^6)*( f42[t] + I*f42n[t]) + (15507 - 85752*lu1 - 13496986*lu1^2 - 41265148*lu1^3 + 732185011*lu1^4 + 689895772*lu1^5 - 1666854420*lu1^6)*(g42[t] + I*g42n[t])) - 8*(-576 - 31311*lu1 + 689017*lu1^2 + 3334531*lu1^3 - 58737097*lu1^4 + 60833072*lu1^5 + 371301420*lu1^6)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (75*Sqrt[3]*lu1*mar*(154*(-1 + 7*lu1 + 170*lu1^2)^2* (-3327 - 64958*lu1 + 347007*lu1^2 + 1197630*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((1807071 + 172256617*lu1 + 1266435135*lu1^2 - 28818213745* lu1^3 - 26826455426*lu1^4 + 92309788308*lu1^5 + 3761041299800*lu1^6 + 11758449897600*lu1^7)*(f42[t] + I*f42n[t]) - 2*(-77058 + 98307*lu1 + 52395425*lu1^2 + 5500251*lu1^3 - 8864036207*lu1^4 - 25342006786*lu1^5 + 269652608700*lu1^6 + 682343548600*lu1^7)*(g42[t] + I*g42n[t])) + (3411939 + 154034844*lu1 + 2927220232*lu1^2 + 15275204286*lu1^3 - 273310738807*lu1^4 - 2195513984258*lu1^5 - 2940366724500*lu1^6 - 499913087800*lu1^7)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(462*(-1 + 7*lu1 + 170*lu1^2)^2* (471 + 14449*lu1 + 88444*lu1^2 + 180460*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (2*(800883 + 246494285*lu1 + 1441350619*lu1^2 - 66240768149* lu1^3 + 277570555006*lu1^4 + 530086902436*lu1^5 - 3313521260840*lu1^6 + 8181122163200*lu1^7)*(f42[t] + I*f42n[t]) + (5258493 + 160252850*lu1 + 2394663530*lu1^2 + 19956504208*lu1^3 - 362761187403*lu1^4 - 2624360133442* lu1^5 - 1831334599940*lu1^6 + 1420575457000*lu1^7)*(g42[t] + I*g42n[t])) + 4*(19809 - 525360*lu1 - 12846728*lu1^2 + 186448158*lu1^3 + 1604930603*lu1^4 - 3592253102*lu1^5 + 30940004100*lu1^6 - 152148425800*lu1^7)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (75*Sqrt[3]*lu1*mar*(154*(-1 + 7*lu1 + 170*lu1^2)^2* (-3327 - 64958*lu1 + 347007*lu1^2 + 1197630*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (2*(1807071 + 172256617*lu1 + 1266435135*lu1^2 - 28818213745* lu1^3 - 26826455426*lu1^4 + 92309788308*lu1^5 + 3761041299800*lu1^6 + 11758449897600*lu1^7)*(f42[t] + I*f42n[t]) + (3411939 + 154034844*lu1 + 2927220232*lu1^2 + 15275204286*lu1^3 - 273310738807*lu1^4 - 2195513984258* lu1^5 - 2940366724500*lu1^6 - 499913087800*lu1^7)*(g42[t] + I*g42n[t])) - 4*(-77058 + 98307*lu1 + 52395425*lu1^2 + 5500251*lu1^3 - 8864036207*lu1^4 - 25342006786*lu1^5 + 269652608700*lu1^6 + 682343548600*lu1^7)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(462*(-1 + 7*lu1 + 170*lu1^2)^2* (471 + 14449*lu1 + 88444*lu1^2 + 180460*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((800883 + 246494285*lu1 + 1441350619*lu1^2 - 66240768149* lu1^3 + 277570555006*lu1^4 + 530086902436*lu1^5 - 3313521260840*lu1^6 + 8181122163200*lu1^7)*(f42[t] + I*f42n[t]) + 2*(19809 - 525360*lu1 - 12846728*lu1^2 + 186448158*lu1^3 + 1604930603*lu1^4 - 3592253102*lu1^5 + 30940004100*lu1^6 - 152148425800*lu1^7)*(g42[t] + I*g42n[t])) + (5258493 + 160252850*lu1 + 2394663530*lu1^2 + 19956504208*lu1^3 - 362761187403*lu1^4 - 2624360133442*lu1^5 - 1831334599940*lu1^6 + 1420575457000*lu1^7)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(-88*(9549 - 19308*lu1 - 11671634*lu1^2 - 11879416*lu1^3 + 3143312265*lu1^4 + 8597900652*lu1^5 - 191620675852*lu1^6 - 561296221440*lu1^7 + 49595772800*lu1^8)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (2*(14923341 - 158254621*lu1 - 15019865708*lu1^2 + 64120386282* lu1^3 + 2700513405629*lu1^4 - 10333624117377*lu1^5 - 81625952828742*lu1^6 + 8348555102580*lu1^7 + 267122019386600* lu1^8)*(f42[t] + I*f42n[t]) + (16512561 - 81901807*lu1 - 15824383550*lu1^2 - 49623472370*lu1^3 + 2123270135485*lu1^4 + 10069208692477*lu1^5 - 59536248932624*lu1^6 - 24766093049500* lu1^7 + 183539610156000*lu1^8)*(g42[t] + I*g42n[t])) - 924*(-1539 - 3636*lu1 + 1900062*lu1^2 + 14479652*lu1^3 - 481903931*lu1^4 - 4164925272*lu1^5 + 14349650648*lu1^6 + 129092744800*lu1^7 + 175519621200*lu1^8)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (75*Sqrt[3]*lu1*mar*(-88*(-10638 + 170301*lu1 + 9051578*lu1^2 - 78288158*lu1^3 - 1651130310*lu1^4 + 2056792221*lu1^5 + 67931166874*lu1^6 + 278053863180*lu1^7 + 441933465400*lu1^8)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (2*(-10973424 + 218629627*lu1 + 7659728942*lu1^2 - 91561413042* lu1^3 - 329325804200*lu1^4 + 1926081450075*lu1^5 + 25919777550282*lu1^6 + 37269171013380*lu1^7 + 2393998276600* lu1^8)*(f42[t] + I*f42n[t]) + (-13481985 - 6218453*lu1 + 15176858926*lu1^2 + 85315950170*lu1^3 - 3037148361069*lu1^4 - 11473687924529*lu1^5 + 119921789288576*lu1^6 + 68826744964940* lu1^7 - 399008763871200*lu1^8)*(g42[t] + I*g42n[t])) + 924*(5193 - 15588*lu1 - 6407746*lu1^2 - 14007012*lu1^3 + 1791528937*lu1^4 + 4538436416*lu1^5 - 94948367544*lu1^6 - 7806694400*lu1^7 + 371781656400*lu1^8)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (5*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* ((-50 + 4*lu1)*(f44[t] - I*f44n[t]) + 7*(1 + lu1)* (g44[t] - I*g44n[t])))/(3*(3 + 32*lu1 + 20*lu1^2)*Pi) + (15*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* ((-50 + 4*lu1)*(f44[t] - I*f44n[t]) + 7*(1 + lu1)* (g44[t] - I*g44n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) - (15*mar*f20[t]^2*(4*(-5 + 64*lu1)*(f44[t] - I*f44n[t]) - (1 + 67*lu1)*(g44[t] - I*g44n[t])))/(2*(-1 + 7*lu1 + 170*lu1^2)* Pi) - (15*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (4*(-5 + 64*lu1)*(f44[t] - I*f44n[t]) - (1 + 67*lu1)* (g44[t] - I*g44n[t])))/((-1 + 7*lu1 + 170*lu1^2)*Pi) - (15*mar*f40[t]^2*(4*(-5 + 64*lu1)*(f44[t] - I*f44n[t]) - (1 + 67*lu1)*(g44[t] - I*g44n[t])))/(2*(-1 + 7*lu1 + 170*lu1^2)* Pi) - (15*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (4*(-5 + 64*lu1)*(f44[t] - I*f44n[t]) - (1 + 67*lu1)* (g44[t] - I*g44n[t])))/((-1 + 7*lu1 + 170*lu1^2)*Pi) - (15*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (4*(-5 + 64*lu1)*(f44[t] - I*f44n[t]) - (1 + 67*lu1)* (g44[t] - I*g44n[t])))/((-1 + 7*lu1 + 170*lu1^2)*Pi) + (12*mar*f20[t]^2*(4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] - I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] - I*g44n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (2*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] - I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] - I*g44n[t])))/ (33*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (108*Sqrt[5]*mar*f20[t]*f40[t]*(4*(-17 + 323*lu1 + 16*lu1^2)* (f44[t] - I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)* (g44[t] - I*g44n[t])))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) - (30*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] - I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] - I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (100*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((46 - 394*lu1 + 532*lu1^2)*(f44[t] - I*f44n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g44[t] - I*g44n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (525*mar*f40[t]^2*((47 - 1265*lu1 + 794*lu1^2)*(f44[t] - I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] - I*g44n[t])))/ (1859*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (15960*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f44[t] - I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] - I*g44n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (35*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f44[t] - I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] - I*g44n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (5*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] - I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] - I*g44n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (135*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] - I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] - I*g44n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (126*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] - I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] - I*g44n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (36*Sqrt[5]*mar*f20[t]*f40[t]*((-41 - 817*lu1 + 1978*lu1^2)* (f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)* (g44[t] - I*g44n[t])))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) - (1620*mar*f40[t]^2*((-41 - 817*lu1 + 1978*lu1^2)* (f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)* (g44[t] - I*g44n[t])))/(1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) + (10*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] - I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (1350*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] - I*g44n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (180*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] - I*g44n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (30*lu1*mar*f20[t]^2*(2*(2199 - 2365*lu1 - 78146*lu1^2 + 42248*lu1^3)* (f44[t] - I*f44n[t]) + (2067 + 25594*lu1 + 7613*lu1^2 - 13322*lu1^3)*(g44[t] - I*g44n[t])))/(11*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (270*Sqrt[5]*lu1*mar*f20[t]*f40[t]* (2*(2199 - 2365*lu1 - 78146*lu1^2 + 42248*lu1^3)* (f44[t] - I*f44n[t]) + (2067 + 25594*lu1 + 7613*lu1^2 - 13322*lu1^3)*(g44[t] - I*g44n[t])))/(143*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (90*Sqrt[5]*lu1*mar*f20[t]*f40[t]* (2*(11742 - 83339*lu1 - 130117*lu1^2 + 233074*lu1^3)* (f44[t] - I*f44n[t]) + (6789 + 107456*lu1 - 68105*lu1^2 - 2236*lu1^3)*(g44[t] - I*g44n[t])))/(143*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (1575*lu1*mar*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(2*(1238 + 281*lu1 - 57809*lu1^2 + 51202*lu1^3)* (f44[t] - I*f44n[t]) + 9*(141 + 1610*lu1 + 315*lu1^2 - 722*lu1^3)* (g44[t] - I*g44n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) - (315*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*((514 + 208*lu1 - 38998*lu1^2 + 30644*lu1^3)* (f44[t] - I*f44n[t]) + 9*(27 + 284*lu1 + 99*lu1^2 + 598*lu1^3)* (g44[t] - I*g44n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) - (6*(-1 + 5*lu1)*mar*f20[t]^2* (2*(449 - 1147*lu1 - 32198*lu1^2 + 5848*lu1^3)* (f44[t] - I*f44n[t]) + (289 + 3964*lu1 + 5513*lu1^2 + 6698*lu1^3)* (g44[t] - I*g44n[t])))/(11*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) + (18*Sqrt[5]*(-1 + 5*lu1)*mar*f20[t]*f40[t]* ((2162 + 37722*lu1 - 240396*lu1^2 + 74288*lu1^3)* (f44[t] - I*f44n[t]) + (2393 + 19452*lu1 + 7257*lu1^2 + 9314*lu1^3)*(g44[t] - I*g44n[t])))/(143*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (18*Sqrt[5]*(-1 + 5*lu1)*mar*f20[t]* f40[t]*(2*(1837 - 15194*lu1 - 30577*lu1^2 + 67454*lu1^3)* (f44[t] - I*f44n[t]) + (923 + 14300*lu1 - 20099*lu1^2 + 37804*lu1^3)*(g44[t] - I*g44n[t])))/(143*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (15*lu1*mar*(f22[t] - I*f22n[t])* (f22[t] + I*f22n[t])*(2*(29681 - 149851*lu1 - 677814*lu1^2 - 242944*lu1^3 + 371168*lu1^4)*(f44[t] - I*f44n[t]) + (17713 + 307648*lu1 + 338451*lu1^2 - 137180*lu1^3 - 118952*lu1^4)* (g44[t] - I*g44n[t])))/(22*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (225*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (2*(24405 - 107631*lu1 - 602390*lu1^2 - 187312*lu1^3 + 306208*lu1^4)* (f44[t] - I*f44n[t]) + (15717 + 259344*lu1 + 277679*lu1^2 - 109868*lu1^3 - 97912*lu1^4)*(g44[t] - I*g44n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* ((90270 + 793174*lu1 - 4278420*lu1^2 - 3681408*lu1^3 + 2465344*lu1^4)*(f44[t] - I*f44n[t]) + (73287 + 774412*lu1 + 749601*lu1^2 - 150492*lu1^3 - 43448*lu1^4)* (g44[t] - I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (225*lu1*mar*f40[t]^2* (2*(552702 - 1951955*lu1 - 16715225*lu1^2 - 3694810*lu1^3 + 23949608*lu1^4)*(f44[t] - I*f44n[t]) - 9*(-41961 - 672926*lu1 - 845703*lu1^2 + 585494*lu1^3 + 118968*lu1^4)*(g44[t] - I*g44n[t])))/(3718*(3 + 10*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (75*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (2*(112170 - 880569*lu1 - 1401191*lu1^2 + 1807046*lu1^3 + 2151184*lu1^4)*(f44[t] - I*f44n[t]) + (51603 + 1012518*lu1 + 250637*lu1^2 - 972302*lu1^3 + 143624*lu1^4)* (g44[t] - I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - ((-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (2*(44109 - 107111*lu1 - 2400966*lu1^2 - 2221104*lu1^3 + 730912*lu1^4)*(f44[t] - I*f44n[t]) + (28629 + 448220*lu1 + 858699*lu1^2 + 706620*lu1^3 + 364712*lu1^4)* (g44[t] - I*g44n[t])))/(66*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (45*(-1 + 5*lu1)*mar*f40[t]^2* (2*(165861 - 488444*lu1 - 5824751*lu1^2 - 1953994*lu1^3 + 9142088*lu1^4)*(f44[t] - I*f44n[t]) + 3*(41029 + 597512*lu1 + 489525*lu1^2 - 451178*lu1^3 + 985976*lu1^4)* (g44[t] - I*g44n[t])))/(3718*(3 + 10*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (2*(59499 - 512608*lu1 - 695481*lu1^2 + 2203686*lu1^3 + 2464112*lu1^4)*(f44[t] - I*f44n[t]) + (26793 + 495196*lu1 - 305103*lu1^2 - 216558*lu1^3 + 991432*lu1^4)* (g44[t] - I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (21*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (2*(26340759 - 152800954*lu1 - 989263757*lu1^2 - 977142588*lu1^3 + 1278930644*lu1^4 + 2175876016*lu1^5 + 667455360*lu1^6)* (f44[t] - I*f44n[t]) + 5*(2214369 + 49481534*lu1 + 109155073*lu1^2 - 12243948*lu1^3 - 107545876*lu1^4 - 13625072*lu1^5)*(g44[t] - I*g44n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (2025*lu1*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (2*(1261266 - 6363777*lu1 - 36465085*lu1^2 - 17941900*lu1^3 + 57899104*lu1^4 + 42451192*lu1^5)*(f44[t] - I*f44n[t]) + 3*(220177 + 4354036*lu1 + 8461475*lu1^2 - 1462060*lu1^3 - 5366892*lu1^4 + 519984*lu1^5)*(g44[t] - I*g44n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (315*lu1*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (2*(11899278 - 74120103*lu1 - 288955939*lu1^2 + 205300944*lu1^3 + 1266738428*lu1^4 + 1080673872*lu1^5 + 222485120*lu1^6)* (f44[t] - I*f44n[t]) - 15*(-346839 - 7994460*lu1 - 18154213*lu1^2 + 484868*lu1^3 + 16558756*lu1^4 + 2725168*lu1^5)* (g44[t] - I*g44n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) - (45*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (2*(4847715 - 21954058*lu1 - 148107965*lu1^2 - 99469140*lu1^3 + 232074200*lu1^4 + 196828408*lu1^5)*(f44[t] - I*f44n[t]) + (2800953 + 50721166*lu1 + 80566121*lu1^2 - 48913356*lu1^3 - 36070532*lu1^4 + 49126928*lu1^5)*(g44[t] - I*g44n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (10290*mar*f40[t]*(3*(f44[t] - I*f44n[t])* ((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*f40[t] - (-15 + 1844*lu1 + 22969*lu1^2 + 613922*lu1^3)*g40[t]) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (50*mar*f40[t]*((f44[t] - I*f44n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*f40[t] + 18*(130 + 1971*lu1 + 3338*lu1^2 - 1023*lu1^3)*g40[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (1215*mar*f40[t]*((f44[t] - I*f44n[t])* (-2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] + 5*(107 + 2548*lu1 + 11591*lu1^2 - 14502*lu1^3)*g40[t]) + 8*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]*(g44[t] - I*g44n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (90*mar*f40[t]*((f44[t] - I*f44n[t])* ((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*f40[t] + (5829 + 255026*lu1 + 1345181*lu1^2 + 5585580*lu1^3)*g40[t]) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (6615*mar*f40[t]*((f44[t] - I*f44n[t])* (-6*(21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)*f40[t] + (51 + 5830*lu1 + 34117*lu1^2 + 2152962*lu1^3)*g40[t]) + 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(31603*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (1215*mar*f40[t]*((f44[t] - I*f44n[t])* (2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] + 3*(-3 - 200*lu1 + 2057*lu1^2 + 37570*lu1^3)*g40[t]) - 2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (90*mar*f40[t]*((f44[t] - I*f44n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*f40[t] + (471 + 1804*lu1 - 12521*lu1^2 + 304710*lu1^3)*g40[t]) - 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (10935*mar*f40[t]*(2*(f44[t] - I*f44n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] - 5*(51 + 1214*lu1 + 6763*lu1^2 + 5924*lu1^3)*g40[t]) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(143143*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (6615*mar*f40[t]*(2*(f44[t] - I*f44n[t])* ((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*f40[t] + (42 + 451*lu1 - 6515*lu1^2 - 364698*lu1^3)*g40[t]) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(31603*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (10*mar*f40[t]*((f44[t] - I*f44n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*f40[t] - 630*(8 + 401*lu1 + 2600*lu1^2 + 12863*lu1^3)*g40[t]) + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (45*lu1*mar*f40[t]*((f44[t] - I*f44n[t])* (10*(68585979 + 2627482609*lu1 - 33499451321*lu1^2 - 543106180305*lu1^3 - 3782476069430*lu1^4 - 265074961217204*lu1^ 5 - 1129038193163160*lu1^6 + 3271753133056800*lu1^7)*f40[t] + (247765893 + 22307873120*lu1 + 468161148716*lu1^2 - 6850757503170*lu1^3 - 255545544095077*lu1^4 - 1872717772921990* lu1^5 - 3639924125567100*lu1^6 + 1198441204191000*lu1^7)* g40[t]) + 170*(-135750 - 7017847*lu1 + 75710531*lu1^2 + 4027312593*lu1^3 - 659361709*lu1^4 - 583798787590*lu1^5 - 2869909591500*lu1^6 + 1979695305000*lu1^7)*f40[t]* (g44[t] - I*g44n[t])))/(347633*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar*f40[t]*((f44[t] - I*f44n[t])* (8*(9689604 + 996030743*lu1 + 4572958190*lu1^2 - 755175533175*lu1^ 3 + 492698101196*lu1^4 + 2365033380722*lu1^5 - 856620472687560*lu1^6 + 967749847659000*lu1^7)*f40[t] - (-77080953 - 4659591163*lu1 - 59733069997*lu1^2 + 1144422757107*lu1^3 + 56522965119986*lu1^4 + 532244741347700* lu1^5 + 825914012079240*lu1^6 + 196721531899200*lu1^7)* g40[t]) + 34*(-73059 - 8346932*lu1 - 35853848*lu1^2 + 7041677346*lu1^3 + 14139127111*lu1^4 - 1246614341222*lu1^5 - 3236138822700*lu1^6 + 40053356746200*lu1^7)*f40[t]* (g44[t] - I*g44n[t])))/(347633*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar*f40[t]*((f44[t] - I*f44n[t])* (16*(9689604 + 996030743*lu1 + 4572958190*lu1^2 - 755175533175*lu1^ 3 + 492698101196*lu1^4 + 2365033380722*lu1^5 - 856620472687560*lu1^6 + 967749847659000*lu1^7)*f40[t] + (-57067917 - 2149238300*lu1 + 73494504760*lu1^2 + 2449208730078*lu1^3 - 14514430918583*lu1^4 - 501926504996042* lu1^5 - 1383906338255700*lu1^6 + 6275078503684200*lu1^7)* g40[t]) - 9*(-22917979 - 1211203250*lu1 - 4837063730*lu1^2 + 473246687196*lu1^3 + 10841115408649*lu1^4 + 71925861433606* lu1^5 + 54219902871820*lu1^6 + 438321478749000*lu1^7)*f40[t]* (g44[t] - I*g44n[t])))/(695266*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (45*lu1*mar*f40[t]*((f44[t] - I*f44n[t])* (-20*(68585979 + 2627482609*lu1 - 33499451321*lu1^2 - 543106180305*lu1^3 - 3782476069430*lu1^4 - 265074961217204*lu1^ 5 - 1129038193163160*lu1^6 + 3271753133056800*lu1^7)*f40[t] + 3*(117572943 + 4662641320*lu1 - 139551955244*lu1^2 - 5560010465190*lu1^3 + 10012336710913*lu1^4 + 1252561122393190* lu1^5 + 6208774305314700*lu1^6 - 14998035237759000*lu1^7)* g40[t]) + 15*(-53473041 - 3747840148*lu1 - 36227200816*lu1^2 + 1934150674686*lu1^3 + 32085217402565*lu1^4 + 12416251096334* lu1^5 - 691380360246660*lu1^6 + 2794941793413000*lu1^7)*f40[t]* (g44[t] - I*g44n[t])))/(695266*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (5*(-1 + 5*lu1)*mar*f40[t]*(-4*(f44[t] - I*f44n[t])* ((-13003852608 - 202638725541*lu1 + 24875787348932*lu1^2 + 218268882722658*lu1^3 - 11650626165296756*lu1^4 - 75021828598260829*lu1^5 + 315481069271864664*lu1^6 + 2938147342204978792*lu1^7 + 10210806388725616800*lu1^8 + 22012529036148529200*lu1^9)*f40[t] - (5732540091 + 200045370861*lu1 - 8405460499592*lu1^2 - 279473830441986*lu1^3 + 2239683789352787*lu1^4 + 111166214574950113*lu1^5 + 684837984348117810*lu1^6 - 5291601058258060*lu1^7 - 1048610639108957400*lu1^8 + 2751180941076472800*lu1^9)*g40[t]) + 45045*(-85869 - 3525813*lu1 + 106487782*lu1^2 + 4843764870*lu1^3 - 4660570585*lu1^4 - 1269015256553*lu1^5 - 6072009380496*lu1^6 + 44777254292744*lu1^7 + 203748569312400*lu1^8 + 199671640383600*lu1^9)*f40[t]*(g44[t] - I*g44n[t])))/ (14600586*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (45*lu1*mar*f40[t]*(20*(f44[t] - I*f44n[t])* ((-907276818 - 9071806577*lu1 + 1807124376720*lu1^2 + 6770223660234*lu1^3 - 942139054184238*lu1^4 - 4197196015360265* lu1^5 + 68220591075630504*lu1^6 - 3970746730551736*lu1^7 + 234292645609845760*lu1^8 + 728778340689529200*lu1^9)*f40[t] + (-241635093 - 8384033743*lu1 + 368523966508*lu1^2 + 11065587174550*lu1^3 - 162376634927165*lu1^4 - 5978414854285091*lu1^5 - 43518050169297746*lu1^6 - 18598884688663204*lu1^7 + 135635582073269880*lu1^8 + 122449010508115200*lu1^9)*g40[t]) - 1001*(-738171 - 27684189*lu1 + 874193954*lu1^2 + 35166333342*lu1^3 + 62564497081*lu1^4 - 7173708188329*lu1^5 - 96988009611744*lu1^6 - 79689238197560*lu1^7 + 4384650291764400* lu1^8 + 8426802815046000*lu1^9)*f40[t]*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (4116*mar*(3*(f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f42[t] + I*f42n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*( g42[t] + I*g42n[t])) + 10*(3 + 20*lu1 - 797*lu1^2 - 6970*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (4116*mar*(3*(f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f42[t] + I*f42n[t]) + 10*(3 + 20*lu1 - 797*lu1^2 - 6970*lu1^3)*( g42[t] + I*g42n[t])) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (20*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f42[t] + I*f42n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*( g42[t] + I*g42n[t])) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (20*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f42[t] + I*f42n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*( g42[t] + I*g42n[t])) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (15*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f42[t] + I*f42n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*( g42[t] + I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (54675*mar*((f44[t] - I*f44n[t])*(2*(f42[t] - I*f42n[t])* ((621 + 2704*lu1 - 8287*lu1^2 - 80030*lu1^3)*(f42[t] + I*f42n[t]) + (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*( g42[t] + I*g42n[t])) + (17 + 600*lu1 - 7923*lu1^2 - 122230*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 8*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (286286*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (15*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f42[t] + I*f42n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*( g42[t] + I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (30*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f42[t] + I*f42n[t]) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*( g42[t] + I*g42n[t])) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (6*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f42[t] + I*f42n[t]) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*( g42[t] + I*g42n[t])) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (6615*mar*((f44[t] - I*f44n[t])*(3*(f42[t] - I*f42n[t])* ((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f42[t] + I*f42n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*( g42[t] + I*g42n[t])) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (3087*mar*((f44[t] - I*f44n[t])*(2*(f42[t] - I*f42n[t])* ((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f42[t] + I*f42n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*( g42[t] + I*g42n[t])) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (2431*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (54675*mar*((f44[t] - I*f44n[t])*(2*(f42[t] - I*f42n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f42[t] + I*f42n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*(g42[t] + I*g42n[t])) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (286286*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (30*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f42[t] + I*f42n[t]) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*( g42[t] + I*g42n[t])) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (6*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f42[t] + I*f42n[t]) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*( g42[t] + I*g42n[t])) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (1215*mar*(2*(f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f42[t] + I*f42n[t]) - (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*( g42[t] + I*g42n[t])) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (1215*mar*(2*(f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f42[t] + I*f42n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*(g42[t] + I*g42n[t])) - (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (6615*mar*(2*(f44[t] - I*f44n[t])*(3*(f42[t] - I*f42n[t])* ((21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)*(f42[t] + I*f42n[t]) - 5*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*( g42[t] + I*g42n[t])) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (3087*mar*(2*(f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f42[t] + I*f42n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*( g42[t] + I*g42n[t])) - 15*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (2431*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*(f42[t] + I*f42n[t]) - 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*( g42[t] + I*g42n[t])) - 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*(f42[t] + I*f42n[t]) - 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*( g42[t] + I*g42n[t])) - 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (225*lu1*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* (4*(147174 - 7511909*lu1 - 408702676*lu1^2 - 9115568069*lu1^3 - 48326978532*lu1^4 + 268430206716*lu1^5)*(f42[t] + I*f42n[t]) + (725199 + 32619905*lu1 - 570656927*lu1^2 - 34703862565*lu1^3 - 279707732136*lu1^4 + 464981253660*lu1^5)*( g42[t] + I*g42n[t])) - 7*(93177 + 6502403*lu1 + 141649495*lu1^2 + 85965929*lu1^3 - 10176246528*lu1^4 + 74943118404*lu1^5)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 204*(-66 + 19405*lu1 + 236368*lu1^2 - 7395355*lu1^3 - 49121716*lu1^4 + 284036340*lu1^5)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4862*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar* ((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* (4*(146325 - 11299291*lu1 - 285358157*lu1^2 - 2499878449*lu1^3 - 265058351544*lu1^4 + 308209338108*lu1^5)*(f42[t] + I*f42n[t]) + 3*(292749 + 10764875*lu1 - 304315277*lu1^2 - 11061918055*lu1^3 - 39604717656*lu1^4 + 66424063860*lu1^5)*( g42[t] + I*g42n[t])) - (520887 + 27868115*lu1 + 885973237*lu1^2 + 22323497573*lu1^3 + 123399558408*lu1^4 + 311201177364*lu1^5)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 204*(-33 + 24245*lu1 + 192489*lu1^2 - 14854785*lu1^3 - 2333128*lu1^4 + 1408886220*lu1^5)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4862*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (225*lu1*mar*((f44[t] - I*f44n[t])* ((f42[t] - I*f42n[t])*(4*(147174 - 7511909*lu1 - 408702676*lu1^2 - 9115568069*lu1^3 - 48326978532*lu1^4 + 268430206716*lu1^5)*( f42[t] + I*f42n[t]) + (725199 + 32619905*lu1 - 570656927* lu1^2 - 34703862565*lu1^3 - 279707732136*lu1^4 + 464981253660*lu1^5)*(g42[t] + I*g42n[t])) + 204*(-66 + 19405*lu1 + 236368*lu1^2 - 7395355*lu1^3 - 49121716*lu1^4 + 284036340*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) - 7*(93177 + 6502403*lu1 + 141649495*lu1^2 + 85965929*lu1^3 - 10176246528*lu1^4 + 74943118404*lu1^5)*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t])))/(4862*(-1 + 7*lu1 + 170*lu1^2)^2* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* (4*(-146325 + 11299291*lu1 + 285358157*lu1^2 + 2499878449* lu1^3 + 265058351544*lu1^4 - 308209338108*lu1^5)*(f42[t] + I*f42n[t]) + 3*(-292749 - 10764875*lu1 + 304315277*lu1^2 + 11061918055*lu1^3 + 39604717656*lu1^4 - 66424063860*lu1^5)*( g42[t] + I*g42n[t])) - 204*(-33 + 24245*lu1 + 192489*lu1^2 - 14854785*lu1^3 - 2333128*lu1^4 + 1408886220*lu1^5)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (520887 + 27868115*lu1 + 885973237*lu1^2 + 22323497573*lu1^3 + 123399558408*lu1^4 + 311201177364*lu1^5)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4862*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (5*(-1 + 5*lu1)*mar* ((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])*(-8*(-5138930637 - 150499098036*lu1 + 7179609123700*lu1^2 + 192475833959508* lu1^3 - 562320363376117*lu1^4 - 32568791274255020*lu1^5 - 70021178558913330*lu1^6 + 555215319741977636*lu1^7 + 6337068578028397944*lu1^8 + 12385422839255059440*lu1^9)*( f42[t] + I*f42n[t]) + 3*(8248830039 + 349427276337*lu1 - 9356875794794*lu1^2 - 472320065020758*lu1^3 - 1878561647721421*lu1^4 + 66014975197445005*lu1^5 + 549684298582038240*lu1^6 + 112146232128063800*lu1^7 - 1403326191488520432*lu1^8 + 444684433556396880*lu1^9)*( g42[t] + I*g42n[t])) + 68*(10140129 + 255924405*lu1 - 17698527670*lu1^2 - 233315311254*lu1^3 + 10036095168013*lu1^4 + 54211680037097*lu1^5 - 1567693596779208*lu1^6 - 7172940355065944*lu1^7 + 46360950530161680*lu1^8 + 115580383513333200*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) + 27027*(-149913 - 6445485*lu1 + 179337694*lu1^2 + 8937769542*lu1^3 - 616745509*lu1^4 - 2370950963153*lu1^5 - 12045165707376*lu1^6 + 84707286489800* lu1^7 + 389999237115600*lu1^8 + 382175993430000*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (14600586*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (5*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])*(-4*(f42[t] - I*f42n[t])* (2*(-5138930637 - 150499098036*lu1 + 7179609123700*lu1^2 + 192475833959508*lu1^3 - 562320363376117*lu1^4 - 32568791274255020*lu1^5 - 70021178558913330*lu1^6 + 555215319741977636*lu1^7 + 6337068578028397944*lu1^8 + 12385422839255059440*lu1^9)*(f42[t] + I*f42n[t]) - 17*(10140129 + 255924405*lu1 - 17698527670*lu1^2 - 233315311254*lu1^3 + 10036095168013*lu1^4 + 54211680037097* lu1^5 - 1567693596779208*lu1^6 - 7172940355065944*lu1^7 + 46360950530161680*lu1^8 + 115580383513333200*lu1^9)*(g42[t] + I*g42n[t])) + 3*(8248830039 + 349427276337*lu1 - 9356875794794*lu1^2 - 472320065020758*lu1^3 - 1878561647721421* lu1^4 + 66014975197445005*lu1^5 + 549684298582038240*lu1^6 + 112146232128063800*lu1^7 - 1403326191488520432*lu1^8 + 444684433556396880*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) + 27027*(-149913 - 6445485*lu1 + 179337694*lu1^2 + 8937769542*lu1^3 - 616745509*lu1^4 - 2370950963153*lu1^5 - 12045165707376*lu1^6 + 84707286489800* lu1^7 + 389999237115600*lu1^8 + 382175993430000*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (14600586*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (15*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])*(2*(f42[t] - I*f42n[t])* (2*(3586020003 + 135420526626*lu1 - 4322596040750*lu1^2 - 147068421602556*lu1^3 + 714475795473647*lu1^4 + 15524133411736522*lu1^5 - 98988588241090380*lu1^6 - 64256518329431176*lu1^7 + 612967545162188160*lu1^8 + 140926878883123200*lu1^9)*(f42[t] + I*f42n[t]) + 3*(1280328507 + 59082048797*lu1 - 845500720002*lu1^2 - 58236467109430*lu1^3 - 510289668816785*lu1^4 + 3107967216336289*lu1^5 + 45804502845235544*lu1^6 + 17003290343218616*lu1^7 - 65430535413657680*lu1^8 + 121353459282963600*lu1^9)*(g42[t] + I*g42n[t])) - 1001*(242127 + 4866003*lu1 - 429366002*lu1^2 - 5528353818*lu1^3 + 168599601731*lu1^4 + 1182393971407*lu1^5 - 16241880872880*lu1^ 6 - 68529347760952*lu1^7 + 436707762699600*lu1^8 + 1004372487241200*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) - 136*(492273 + 36381132*lu1 - 185518882*lu1^2 - 38631339216*lu1^3 - 27001962803*lu1^4 + 8393423020532*lu1^5 + 25138929897852*lu1^6 - 302454863337320* lu1^7 - 175479239510400*lu1^8 + 625507546860000*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (225*lu1*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* (4*(-1145614449 - 22237602029*lu1 + 1961619576618*lu1^2 + 24713382018102*lu1^3 - 557190086155485*lu1^4 - 663236282065433*lu1^5 + 26167309372240932*lu1^6 - 74237778288989824*lu1^7 + 247138955688433984*lu1^8 + 856719243182196240*lu1^9)*(f42[t] + I*f42n[t]) - (1368932973 + 61124055889*lu1 - 1526262882862*lu1^2 - 89912752637198*lu1^3 - 594979531812807*lu1^4 + 12189416340885445*lu1^5 + 107044245824544760*lu1^6 + 25072761319829672*lu1^7 - 186685275653370928*lu1^8 + 134615927607989520*lu1^9)*(g42[t] + I*g42n[t])) + 68*(633114 + 718131*lu1 - 1654808640*lu1^2 - 8395748702*lu1^3 + 870470976734*lu1^4 + 2452413293515*lu1^5 - 128737196741792*lu1^ 6 - 349496081037832*lu1^7 + 4932198070747360*lu1^8 + 10466320009714800*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) - 1001*(-170811 - 6393159*lu1 + 203171674*lu1^2 + 8128453362*lu1^3 + 13137826241*lu1^4 - 1666771869779*lu1^5 - 22037863636944*lu1^6 - 16343209081000* lu1^7 + 995742393836400*lu1^8 + 1907150809410000*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (225*lu1*mar*((f44[t] - I*f44n[t])*(4*(f42[t] - I*f42n[t])* ((-1145614449 - 22237602029*lu1 + 1961619576618*lu1^2 + 24713382018102*lu1^3 - 557190086155485*lu1^4 - 663236282065433*lu1^5 + 26167309372240932*lu1^6 - 74237778288989824*lu1^7 + 247138955688433984*lu1^8 + 856719243182196240*lu1^9)*(f42[t] + I*f42n[t]) + 17*(633114 + 718131*lu1 - 1654808640*lu1^2 - 8395748702*lu1^3 + 870470976734*lu1^4 + 2452413293515*lu1^5 - 128737196741792* lu1^6 - 349496081037832*lu1^7 + 4932198070747360*lu1^8 + 10466320009714800*lu1^9)*(g42[t] + I*g42n[t])) - (1368932973 + 61124055889*lu1 - 1526262882862*lu1^2 - 89912752637198*lu1^3 - 594979531812807*lu1^4 + 12189416340885445*lu1^5 + 107044245824544760*lu1^6 + 25072761319829672*lu1^7 - 186685275653370928*lu1^8 + 134615927607989520*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) - 1001*(-170811 - 6393159*lu1 + 203171674*lu1^2 + 8128453362*lu1^3 + 13137826241*lu1^4 - 1666771869779*lu1^5 - 22037863636944*lu1^6 - 16343209081000* lu1^7 + 995742393836400*lu1^8 + 1907150809410000*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (225*lu1*mar*((f44[t] - I*f44n[t])*(2*(f42[t] - I*f42n[t])* (2*(-3100211541 - 81957828597*lu1 + 3998632710826*lu1^2 + 66917461770438*lu1^3 - 625825654098961*lu1^4 + 754773493050415*lu1^5 + 13388200371887292*lu1^6 - 60170044727833840*lu1^7 - 56983675956839520*lu1^8 + 96485766072670800*lu1^9)*(f42[t] + I*f42n[t]) - 3*(788047563 + 44541722303*lu1 - 281675408214*lu1^2 - 44464668025786*lu1^3 - 461596079969753*lu1^4 + 3229943947949947*lu1^5 + 31514873250380804*lu1^6 - 34456038068191984*lu1^7 - 33014934554960960*lu1^8 + 255317958592342800*lu1^9)*(g42[t] + I*g42n[t])) + 1001*(741681 + 24560883*lu1 - 1101797558*lu1^2 - 33074094738*lu1^ 3 + 275214789221*lu1^4 + 8922369922135*lu1^5 - 4754969749440*lu1^6 - 449136300495544*lu1^7 + 353546542969200* lu1^8 + 2333617288556400*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) - 136*(-707634 - 26886681*lu1 + 616104236*lu1^2 + 19505350698*lu1^3 - 42062646926*lu1^4 - 3226758894361*lu1^5 - 28415557282596*lu1^6 - 19957797275840* lu1^7 + 1191439727814000*lu1^8 + 2192669736138000*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (15*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])*(4*(f42[t] - I*f42n[t])* ((3586020003 + 135420526626*lu1 - 4322596040750*lu1^2 - 147068421602556*lu1^3 + 714475795473647*lu1^4 + 15524133411736522*lu1^5 - 98988588241090380*lu1^6 - 64256518329431176*lu1^7 + 612967545162188160*lu1^8 + 140926878883123200*lu1^9)*(f42[t] + I*f42n[t]) - 34*(492273 + 36381132*lu1 - 185518882*lu1^2 - 38631339216* lu1^3 - 27001962803*lu1^4 + 8393423020532*lu1^5 + 25138929897852*lu1^6 - 302454863337320*lu1^7 - 175479239510400*lu1^8 + 625507546860000*lu1^9)*(g42[t] + I*g42n[t])) - 1001*(242127 + 4866003*lu1 - 429366002*lu1^2 - 5528353818*lu1^3 + 168599601731*lu1^4 + 1182393971407*lu1^5 - 16241880872880*lu1^6 - 68529347760952*lu1^7 + 436707762699600* lu1^8 + 1004372487241200*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) + 6*(1280328507 + 59082048797*lu1 - 845500720002*lu1^2 - 58236467109430*lu1^3 - 510289668816785* lu1^4 + 3107967216336289*lu1^5 + 45804502845235544*lu1^6 + 17003290343218616*lu1^7 - 65430535413657680*lu1^8 + 121353459282963600*lu1^9)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (225*lu1*mar*((f44[t] - I*f44n[t])*(4*(f42[t] - I*f42n[t])* ((-3100211541 - 81957828597*lu1 + 3998632710826*lu1^2 + 66917461770438*lu1^3 - 625825654098961*lu1^4 + 754773493050415*lu1^5 + 13388200371887292*lu1^6 - 60170044727833840*lu1^7 - 56983675956839520*lu1^8 + 96485766072670800*lu1^9)*(f42[t] + I*f42n[t]) - 34*(-707634 - 26886681*lu1 + 616104236*lu1^2 + 19505350698* lu1^3 - 42062646926*lu1^4 - 3226758894361*lu1^5 - 28415557282596*lu1^6 - 19957797275840*lu1^7 + 1191439727814000*lu1^8 + 2192669736138000*lu1^9)*(g42[t] + I*g42n[t])) + 1001*(741681 + 24560883*lu1 - 1101797558*lu1^ 2 - 33074094738*lu1^3 + 275214789221*lu1^4 + 8922369922135*lu1^5 - 4754969749440*lu1^6 - 449136300495544*lu1^ 7 + 353546542969200*lu1^8 + 2333617288556400*lu1^9)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 6*(788047563 + 44541722303*lu1 - 281675408214*lu1^2 - 44464668025786*lu1^3 - 461596079969753*lu1^4 + 3229943947949947* lu1^5 + 31514873250380804*lu1^6 - 34456038068191984*lu1^7 - 33014934554960960*lu1^8 + 255317958592342800*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (11025*lu1*mar*(f44[t] - I*f44n[t])*((f44[t] - I*f44n[t])* (4*(-5369 - 80347*lu1 - 290000*lu1^2 + 3648516*lu1^3)* (f44[t] + I*f44n[t]) + (-7309 - 399806*lu1 - 3772399*lu1^2 + 5307834*lu1^3)*(g44[t] + I*g44n[t])) + (2329 - 14794*lu1 + 299395*lu1^2 - 5499282*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (2431*(-1 + 7*lu1 + 170*lu1^2)^2*(Pi + 42*lu1*Pi)) + (147*mar*(f44[t] - I*f44n[t])*(3*(f44[t] - I*f44n[t])* ((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)* (f44[t] + I*f44n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(g44[t] + I*g44n[t])) + 2*(42 + 451*lu1 - 6515*lu1^2 - 364698*lu1^3)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (10*mar*(f44[t] - I*f44n[t])*((f44[t] - I*f44n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)* (f44[t] + I*f44n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(g44[t] + I*g44n[t])) + (195 + 9772*lu1 - 51693*lu1^2 - 145474*lu1^3)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(121*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (10*mar*(f44[t] - I*f44n[t])* ((f44[t] - I*f44n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f44[t] + I*f44n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(g44[t] + I*g44n[t])) + (2499 + 45370*lu1 + 15435*lu1^2 - 141448*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (121*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (735*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])* ((f44[t] - I*f44n[t])*(8*(-1229 - 18607*lu1 - 1802450*lu1^2 + 2003136*lu1^3)*(f44[t] + I*f44n[t]) + (-10177 - 469154*lu1 - 1694359*lu1^2 + 2431002*lu1^3)* (g44[t] + I*g44n[t])) - (1507 + 233276*lu1 + 1979323*lu1^2 + 4758*lu1^3)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (2431*(-1 + 7*lu1 + 170*lu1^2)^2*(Pi + 42*lu1*Pi)) + (1215*mar*(f44[t] - I*f44n[t])*(2*(f44[t] - I*f44n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)* (f44[t] + I*f44n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)* (g44[t] + I*g44n[t])) + 5*(-107 - 2548*lu1 - 11591*lu1^2 + 14502*lu1^3)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (1215*mar*(f44[t] - I*f44n[t])*(2*(f44[t] - I*f44n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)* (f44[t] + I*f44n[t]) - (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(g44[t] + I*g44n[t])) + 3*(-3 - 200*lu1 + 2057*lu1^2 + 37570*lu1^3)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (2*mar*(f44[t] - I*f44n[t])*((f44[t] - I*f44n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)* (f44[t] + I*f44n[t]) - 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(g44[t] + I*g44n[t])) + (471 + 1804*lu1 - 12521*lu1^2 + 304710*lu1^3)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (13230*mar*(f44[t] - I*f44n[t])* (2*(f44[t] - I*f44n[t])*((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f44[t] + I*f44n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(g44[t] + I*g44n[t])) - 3*(-15 + 1844*lu1 + 22969*lu1^2 + 613922*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (2431*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (147*mar*(f44[t] - I*f44n[t])*(6*(f44[t] - I*f44n[t])* ((21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)* (f44[t] + I*f44n[t]) - 5*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)* (g44[t] + I*g44n[t])) - (51 + 5830*lu1 + 34117*lu1^2 + 2152962*lu1^3)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (2*mar*(f44[t] - I*f44n[t])*((f44[t] - I*f44n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)* (f44[t] + I*f44n[t]) - 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(g44[t] + I*g44n[t])) - (5829 + 255026*lu1 + 1345181*lu1^2 + 5585580*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (225*lu1*mar*(f44[t] - I*f44n[t])*(4*(f44[t] - I*f44n[t])* ((444985107 + 10066165987*lu1 - 716235364650*lu1^2 - 10695950652090*lu1^3 + 216688783245399*lu1^4 + 1490584922887231*lu1^5 - 11763054543211440*lu1^6 - 50820836041854712*lu1^7 + 45126897988435984*lu1^8 + 250760145311597040*lu1^9)*(f44[t] + I*f44n[t]) + 17*(283518 + 3650853*lu1 - 591729480*lu1^2 - 4196081282*lu1^3 + 311565315914*lu1^4 + 1313221320973*lu1^5 - 47939062123448*lu1^ 6 - 204905654901832*lu1^7 + 1441221532024960*lu1^8 + 3185256250654800*lu1^9)*(g44[t] + I*g44n[t])) + (564700053 + 26621707151*lu1 - 505311829318*lu1^2 - 33083718655978*lu1^3 - 179353298033431*lu1^4 + 5593345017649923* lu1^5 + 53381660675684168*lu1^6 + 40296860043676632*lu1^7 - 361335843132060272*lu1^8 - 569767786596235920*lu1^9)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (695266*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (225*lu1*mar*(f44[t] - I*f44n[t])*((f44[t] - I*f44n[t])* (4*(444985107 + 10066165987*lu1 - 716235364650*lu1^2 - 10695950652090*lu1^3 + 216688783245399*lu1^4 + 1490584922887231*lu1^5 - 11763054543211440*lu1^6 - 50820836041854712*lu1^7 + 45126897988435984*lu1^8 + 250760145311597040*lu1^9)*(f44[t] + I*f44n[t]) + (573150495 + 26703689051*lu1 - 531447799178*lu1^2 - 33323209059130*lu1^3 - 155667185429277*lu1^4 + 5799224330284919*lu1^5 + 47114877976563224*lu1^6 + 3011216492969080*lu1^7 - 68023165886472272*lu1^8 + 113341732426895280*lu1^9)*(g44[t] + I*g44n[t])) - 2*(-5414391 - 83138052*lu1 + 7050817390*lu1^2 + 22921562012*lu1^3 + 1249835561001*lu1^4 + 58290131404416*lu1^5 - 1503463237363240* lu1^6 - 11676029508691488*lu1^7 + 97654806533945360*lu1^8 + 233256046989302400*lu1^9)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(695266*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (5*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])* (4*(f44[t] - I*f44n[t])*((7875965430 + 179661636009*lu1 - 13003591945084*lu1^2 - 199568025739950*lu1^3 + 4316263789177558*lu1^4 + 33242705682518309*lu1^5 - 318893639733202680*lu1^6 - 1010921996490134792*lu1^7 + 3459609091025131968*lu1^8 + 6028486584826038480*lu1^9)* (f44[t] + I*f44n[t]) - 17*(266499 + 8299521*lu1 - 355683346*lu1^2 - 6554376438*lu1^3 + 136751456431*lu1^4 - 792490769059*lu1^5 - 31558411306944*lu1^6 + 461736360520600*lu1^ 7 + 5999371459840080*lu1^8 + 6295810451086800*lu1^9)* (g44[t] + I*g44n[t])) - 3*(-3760644789 - 156589324935*lu1 + 4093395485158*lu1^2 + 196774671313578*lu1^3 + 424480600607687* lu1^4 - 36796539656382827*lu1^5 - 273676063082864952*lu1^6 + 126475954732777160*lu1^7 + 1556739955727155248*lu1^8 + 813536459558056080*lu1^9)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(2085798*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (5*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])* ((f44[t] - I*f44n[t])*(4*(7875965430 + 179661636009*lu1 - 13003591945084*lu1^2 - 199568025739950*lu1^3 + 4316263789177558*lu1^4 + 33242705682518309*lu1^5 - 318893639733202680*lu1^6 - 1010921996490134792*lu1^7 + 3459609091025131968*lu1^8 + 6028486584826038480*lu1^9)* (f44[t] + I*f44n[t]) + 3*(3355888437 + 140312476347*lu1 - 3586640964886*lu1^2 - 174573596649810*lu1^3 - 450323162008343* lu1^4 + 31066817501894495*lu1^5 + 245063050541311512*lu1^6 + 64971223898123032*lu1^7 - 550468744831804848*lu1^8 + 293809695321708720*lu1^9)*(g44[t] + I*g44n[t])) - 4*(-299036781 - 12066544584*lu1 + 374019273322*lu1^2 + 16539381598380*lu1^3 - 17057146291165*lu1^4 - 4310763958940252* lu1^5 - 21996252398383128*lu1^6 + 151434902102025344*lu1^7 + 856692722988794160*lu1^8 + 937538393828299200*lu1^9)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (2085798*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (100*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])^2* ((46 - 394*lu1 + 532*lu1^2)*(f44[t] + I*f44n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g44[t] + I*g44n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (35*mar*(f44[t] - I*f44n[t])^2* ((47 - 1265*lu1 + 794*lu1^2)*(f44[t] + I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] + I*g44n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (126*mar*(f44[t] - I*f44n[t])^2*((-95 + 497*lu1 + 2374*lu1^2)* (f44[t] + I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)* (g44[t] + I*g44n[t])))/(121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)* Pi) + (180*mar*(f44[t] - I*f44n[t])^2*((-41 - 817*lu1 + 1978*lu1^2)* (f44[t] + I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)* (g44[t] + I*g44n[t])))/(1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) + (21*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])^2* (2*(26340759 - 152800954*lu1 - 989263757*lu1^2 - 977142588*lu1^3 + 1278930644*lu1^4 + 2175876016*lu1^5 + 667455360*lu1^6)* (f44[t] + I*f44n[t]) + 5*(2214369 + 49481534*lu1 + 109155073*lu1^2 - 12243948*lu1^3 - 107545876*lu1^4 - 13625072*lu1^5)*(g44[t] + I*g44n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (315*lu1*mar*(f44[t] - I*f44n[t])^2* (2*(11899278 - 74120103*lu1 - 288955939*lu1^2 + 205300944*lu1^3 + 1266738428*lu1^4 + 1080673872*lu1^5 + 222485120*lu1^6)* (f44[t] + I*f44n[t]) - 15*(-346839 - 7994460*lu1 - 18154213*lu1^2 + 484868*lu1^3 + 16558756*lu1^4 + 2725168*lu1^5)* (g44[t] + I*g44n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) + (mar*(13029068316384*Sqrt[70]*f40[t]*(f42[t] + I*f42n[t])^2 - 873719313458040*Sqrt[70]*lu1*f40[t]*(f42[t] + I*f42n[t])^2 - 27782776684074708*Sqrt[70]*lu1^2*f40[t]*(f42[t] + I*f42n[t])^2 + 2153824801853917824*Sqrt[70]*lu1^3*f40[t]*(f42[t] + I*f42n[t])^2 + 3862558683574128756*Sqrt[70]*lu1^4*f40[t]*(f42[t] + I*f42n[t])^2 - 666465513692529621672*Sqrt[70]*lu1^5*f40[t]*(f42[t] + I*f42n[t])^ 2 - 1390207085469450342972*Sqrt[70]*lu1^6*f40[t]* (f42[t] + I*f42n[t])^2 + 28715838755497390974960*Sqrt[70]*lu1^7* f40[t]*(f42[t] + I*f42n[t])^2 + 215843794067956913990028*Sqrt[70]* lu1^8*f40[t]*(f42[t] + I*f42n[t])^2 - 463115549236113338062608* Sqrt[70]*lu1^9*f40[t]*(f42[t] + I*f42n[t])^2 - 1733717876446403153058960*Sqrt[70]*lu1^10*f40[t]* (f42[t] + I*f42n[t])^2 - 10524119397385509858596544*Sqrt[70]* lu1^11*f40[t]*(f42[t] + I*f42n[t])^2 - 50903355276638589431913408* Sqrt[70]*lu1^12*f40[t]*(f42[t] + I*f42n[t])^2 - 85563759105424499524381440*Sqrt[70]*lu1^13*f40[t]* (f42[t] + I*f42n[t])^2 - 54729218863528699356921600*Sqrt[70]* lu1^14*f40[t]*(f42[t] + I*f42n[t])^2 - 11637608878678948421760000* Sqrt[70]*lu1^15*f40[t]*(f42[t] + I*f42n[t])^2 + 84262164176610*f40[t]^2*(f44[t] + I*f44n[t]) + 4599414907471440*lu1* f40[t]^2*(f44[t] + I*f44n[t]) - 466488349862400810*lu1^2*f40[t]^2* (f44[t] + I*f44n[t]) - 8520580024370294580*lu1^3*f40[t]^2* (f44[t] + I*f44n[t]) + 403731277656722359470*lu1^4*f40[t]^2* (f44[t] + I*f44n[t]) - 3082068052787216115000*lu1^5*f40[t]^2* (f44[t] + I*f44n[t]) + 45822371769024912792570*lu1^6*f40[t]^2* (f44[t] + I*f44n[t]) + 952908591027001588752780*lu1^7*f40[t]^2* (f44[t] + I*f44n[t]) - 12448044958365330299230560*lu1^8*f40[t]^2* (f44[t] + I*f44n[t]) - 3582251704123030867230960*lu1^9*f40[t]^2* (f44[t] + I*f44n[t]) + 188858781461360533641101760*lu1^10*f40[t]^2* (f44[t] + I*f44n[t]) + 255715196926445019336377280*lu1^11*f40[t]^2* (f44[t] + I*f44n[t]) - 371735290087386095356416000*lu1^12*f40[t]^2* (f44[t] + I*f44n[t]) - 886182889344749415152160000*lu1^13*f40[t]^2* (f44[t] + I*f44n[t]) - 513530896213138038266304000*lu1^14*f40[t]^2* (f44[t] + I*f44n[t]) - 84730004799808789451520000*lu1^15*f40[t]^2* (f44[t] + I*f44n[t]) + 21485261020860*Sqrt[3]*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 2306026212153300* Sqrt[3]*lu1*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t]) + 19167674085132300*Sqrt[3]*lu1^2* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 3871340734922469900*Sqrt[3]*lu1^3*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 101453617184935267980* Sqrt[3]*lu1^4*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t]) + 926051060861466327060*Sqrt[3]*lu1^5* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 11120501235552614052420*Sqrt[3]*lu1^6*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 614608885336747847686140*Sqrt[3]*lu1^7*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 846637511900638800451200*Sqrt[3]*lu1^8*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 40019991137547273991123440*Sqrt[3]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 95682531085695496209146880*Sqrt[3]*lu1^10*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 132077946082971184633122240*Sqrt[3]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 93027423485784462971412480*Sqrt[3]*lu1^12*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 851413142965025753358355200*Sqrt[3]*lu1^13*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 871853943110084983321728000*Sqrt[3]*lu1^14*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 96515627847219085639680000*Sqrt[3]*lu1^15*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 350931284782596* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 3033240573469680*lu1*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t]) - 1321935573301847532*lu1^2* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 13112387177214260376*lu1^3*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 861538376883482521524* lu1^4*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t]) - 15494653297269846933408*lu1^5* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 72181844341477520783532*lu1^6*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 2307838924630966651155000*lu1^7*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 21874276799779263802600728*lu1^8*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 13648121097551648467338432*lu1^9*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 353445512652471423139378080*lu1^10*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 364092722289492900652402944*lu1^11*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 1456117554047712442759619712*lu1^12*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 2970258406165441823645660160*lu1^13*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 1793270856515677867529510400*lu1^14*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 332386533901122856807680000*lu1^15*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 654942878831556* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 - 23420024554157280* lu1*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 - 1970200362596924052*lu1^2*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^ 2 + 63368299220472342936*lu1^3*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 + 951664746166878859164*lu1^4* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 - 31045515283428871439088*lu1^5*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 + 39743679013857012780852*lu1^6* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 + 2977875162259239107237400*lu1^7*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 - 16837921604860269142833408*lu1^8* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 - 24454150579727626355465952*lu1^9*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 + 312992095535388682901335680*lu1^10* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 + 118529936350497670618483584*lu1^11*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 - 2643862510502612862837599232*lu1^12* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 - 4966746118625346812547893760*lu1^13*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 - 3070285963331347519191014400*lu1^14* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 - 603930741070298319982080000*lu1^15*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 - 2211392606085*Sqrt[14]* (f42[t] + I*f42n[t])^2*g20[t] + 108400613392890*Sqrt[14]*lu1* (f42[t] + I*f42n[t])^2*g20[t] + 5426463354075270*Sqrt[14]*lu1^2* (f42[t] + I*f42n[t])^2*g20[t] - 244091497548763800*Sqrt[14]*lu1^3* (f42[t] + I*f42n[t])^2*g20[t] - 3522649126568375700*Sqrt[14]*lu1^4* (f42[t] + I*f42n[t])^2*g20[t] + 111310182472050455400*Sqrt[14]* lu1^5*(f42[t] + I*f42n[t])^2*g20[t] + 2125576862900856535950* Sqrt[14]*lu1^6*(f42[t] + I*f42n[t])^2*g20[t] - 11708654880252723939000*Sqrt[14]*lu1^7*(f42[t] + I*f42n[t])^2* g20[t] - 359179251559427212181775*Sqrt[14]*lu1^8* (f42[t] + I*f42n[t])^2*g20[t] - 1861806900320559407831850*Sqrt[14]* lu1^9*(f42[t] + I*f42n[t])^2*g20[t] - 3786017826901566433692060* Sqrt[14]*lu1^10*(f42[t] + I*f42n[t])^2*g20[t] + 1707598217839324276173240*Sqrt[14]*lu1^11*(f42[t] + I*f42n[t])^2* g20[t] + 8350513608486122530956720*Sqrt[14]*lu1^12* (f42[t] + I*f42n[t])^2*g20[t] - 10330587316609203930156000* Sqrt[14]*lu1^13*(f42[t] + I*f42n[t])^2*g20[t] - 8693158707915490206216000*Sqrt[14]*lu1^14*(f42[t] + I*f42n[t])^2* g20[t] + 13551303734593755071760000*Sqrt[14]*lu1^15* (f42[t] + I*f42n[t])^2*g20[t] - 32039128815876*Sqrt[5]*f40[t]* (f44[t] + I*f44n[t])*g20[t] + 980992936863576*Sqrt[5]*lu1*f40[t]* (f44[t] + I*f44n[t])*g20[t] + 96380193721940856*Sqrt[5]*lu1^2* f40[t]*(f44[t] + I*f44n[t])*g20[t] - 1986704663670391392*Sqrt[5]* lu1^3*f40[t]*(f44[t] + I*f44n[t])*g20[t] - 74796203404495761552* Sqrt[5]*lu1^4*f40[t]*(f44[t] + I*f44n[t])*g20[t] + 735205576106212323840*Sqrt[5]*lu1^5*f40[t]*(f44[t] + I*f44n[t])* g20[t] + 20330265619435811254488*Sqrt[5]*lu1^6*f40[t]* (f44[t] + I*f44n[t])*g20[t] - 15152803448435454660768*Sqrt[5]* lu1^7*f40[t]*(f44[t] + I*f44n[t])*g20[t] - 1843496826216137209514124*Sqrt[5]*lu1^8*f40[t]*(f44[t] + I*f44n[t])* g20[t] - 11746937272409305358314104*Sqrt[5]*lu1^9*f40[t]* (f44[t] + I*f44n[t])*g20[t] - 36100461537382197696105456*Sqrt[5]* lu1^10*f40[t]*(f44[t] + I*f44n[t])*g20[t] - 42899571420000218979820128*Sqrt[5]*lu1^11*f40[t]* (f44[t] + I*f44n[t])*g20[t] + 48660715968050577603925440*Sqrt[5]* lu1^12*f40[t]*(f44[t] + I*f44n[t])*g20[t] + 147503718618459288146006400*Sqrt[5]*lu1^13*f40[t]* (f44[t] + I*f44n[t])*g20[t] + 94987427332791501432288000*Sqrt[5]* lu1^14*f40[t]*(f44[t] + I*f44n[t])*g20[t] + 16830244471926128967360000*Sqrt[5]*lu1^15*f40[t]* (f44[t] + I*f44n[t])*g20[t] - 69777989877960*Sqrt[3]* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 1946612812992120*Sqrt[3]*lu1*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 215626988652500880* Sqrt[3]*lu1^2*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 3827668003948414080*Sqrt[3]*lu1^3* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 170551479253920317280*Sqrt[3]*lu1^4*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 1318566422062628684400* Sqrt[3]*lu1^5*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 40906305355052197635120*Sqrt[3]*lu1^6* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 16758380820090741730080*Sqrt[3]*lu1^7*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 2932572224929682700270360*Sqrt[3]*lu1^8*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 20678910979527319492569960*Sqrt[3]*lu1^9*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 72583070651248184216367360*Sqrt[3]*lu1^10*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 115217720233250727405025440*Sqrt[3]*lu1^11*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 82682726413857872198682240*Sqrt[3]*lu1^12*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 416968704023657838705744000*Sqrt[3]*lu1^13*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 278036642302251041209728000*Sqrt[3]*lu1^14*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 21163806248288867916480000*Sqrt[3]*lu1^15*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 2613787466589* Sqrt[210]*f40[t]*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 60246224967474*Sqrt[210]*lu1*f40[t]*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + 7230077679726954*Sqrt[210]*lu1^2*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) - 64162080183088368* Sqrt[210]*lu1^3*f40[t]*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) - 4027874238330221448*Sqrt[210]*lu1^4*f40[t]*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) - 52606364011658909400*Sqrt[210]*lu1^5*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 312464299957178857722* Sqrt[210]*lu1^6*f40[t]*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 21987183012538026567648*Sqrt[210]*lu1^7*f40[t]*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + 114785647621331819012829*Sqrt[210]*lu1^8* f40[t]*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) - 936548988278570072281746*Sqrt[210]*lu1^9*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) - 5113296876639597011606604*Sqrt[210]*lu1^10*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) - 5859610284590666563571352*Sqrt[210]*lu1^11*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 4894037458804646341703280*Sqrt[210]*lu1^12*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 15682978175573785426989600*Sqrt[210]*lu1^13*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 16385688030217896191256000*Sqrt[210]*lu1^14*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 8138199349331803206000000*Sqrt[210]*lu1^15*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 16016540875335* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 646265213058465*lu1*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) - 39602295495097335*lu1^2* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 1269764392726364535*lu1^3*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) + 20377215345653060895*lu1^4* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 350935656318056845035*lu1^5*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 5969196089717043828645* lu1^6*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) + 2673816190035660154485*lu1^7* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 612762511866229365510870*lu1^8*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 5707635054738190627893840*lu1^9*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 18240938052721668233389440*lu1^10*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 11009391313340154575720880*lu1^11*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 84366398264271182984564640*lu1^12*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 43577719236625604177347200*lu1^13*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 50344201430905367329344000*lu1^14*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 28701532480138173976320000*lu1^15*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 31657183305930*Sqrt[3]* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 940268694668940*Sqrt[3]*lu1*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 90371624583813300* Sqrt[3]*lu1^2*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) - 1672473257765462880*Sqrt[3]*lu1^3* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 61674524566895276400*Sqrt[3]*lu1^4*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 295255595399665293120* Sqrt[3]*lu1^5*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) + 14929752440697183796980*Sqrt[3]*lu1^6* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 76816989187233270524640*Sqrt[3]*lu1^7*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 944805337745406890535510*Sqrt[3]*lu1^8*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 13140174648669960984210300*Sqrt[3]*lu1^9*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 47801643923744988243515640*Sqrt[3]*lu1^10*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 46138369810339826801418000*Sqrt[3]*lu1^11*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 60158887293869829000288480*Sqrt[3]*lu1^12*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 130869288302737436618712000*Sqrt[3]*lu1^13*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 110437566483988503732336000*Sqrt[3]*lu1^14*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 67473191675546209556640000*Sqrt[3]*lu1^15*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 1154450957355*Sqrt[70]* (f42[t] + I*f42n[t])^2*g40[t] - 1717123421790*Sqrt[70]*lu1* (f42[t] + I*f42n[t])^2*g40[t] + 3000109032073215*Sqrt[70]*lu1^2* (f42[t] + I*f42n[t])^2*g40[t] + 57129634205313930*Sqrt[70]*lu1^3* (f42[t] + I*f42n[t])^2*g40[t] + 532344139829262135*Sqrt[70]*lu1^4* (f42[t] + I*f42n[t])^2*g40[t] - 72369378272746723140*Sqrt[70]* lu1^5*(f42[t] + I*f42n[t])^2*g40[t] - 2225635916600259116595* Sqrt[70]*lu1^6*(f42[t] + I*f42n[t])^2*g40[t] - 2965201400295962602110*Sqrt[70]*lu1^7*(f42[t] + I*f42n[t])^2* g40[t] + 74311873680080312806860*Sqrt[70]*lu1^8* (f42[t] + I*f42n[t])^2*g40[t] + 83469589467539375464470*Sqrt[70]* lu1^9*(f42[t] + I*f42n[t])^2*g40[t] + 520332866262838444594140* Sqrt[70]*lu1^10*(f42[t] + I*f42n[t])^2*g40[t] + 4995795817461696457417920*Sqrt[70]*lu1^11*(f42[t] + I*f42n[t])^2* g40[t] + 8192499624966662992473120*Sqrt[70]*lu1^12* (f42[t] + I*f42n[t])^2*g40[t] - 2759974102048600769104800*Sqrt[70]* lu1^13*(f42[t] + I*f42n[t])^2*g40[t] - 9024998985886389941736000* Sqrt[70]*lu1^14*(f42[t] + I*f42n[t])^2*g40[t] - 887766800151742267680000*Sqrt[70]*lu1^15*(f42[t] + I*f42n[t])^2* g40[t] + 31443159998880*f40[t]*(f44[t] + I*f44n[t])*g40[t] + 466057915633170*lu1*f40[t]*(f44[t] + I*f44n[t])*g40[t] - 61590702341369880*lu1^2*f40[t]*(f44[t] + I*f44n[t])*g40[t] - 3063904381300834890*lu1^3*f40[t]*(f44[t] + I*f44n[t])*g40[t] - 48064061866333097340*lu1^4*f40[t]*(f44[t] + I*f44n[t])*g40[t] + 1971944933866148181150*lu1^5*f40[t]*(f44[t] + I*f44n[t])*g40[t] + 33894191455839848417760*lu1^6*f40[t]*(f44[t] + I*f44n[t])*g40[t] + 104307384396129056568090*lu1^7*f40[t]*(f44[t] + I*f44n[t])*g40[t] - 465782935339761228293580*lu1^8*f40[t]*(f44[t] + I*f44n[t])*g40[t] - 12783093346189779661046880*lu1^9*f40[t]*(f44[t] + I*f44n[t])* g40[t] - 17917989553658277703257120*lu1^10*f40[t]* (f44[t] + I*f44n[t])*g40[t] + 99475140178948546392539040*lu1^11* f40[t]*(f44[t] + I*f44n[t])*g40[t] + 218300959178983317888820800* lu1^12*f40[t]*(f44[t] + I*f44n[t])*g40[t] - 11745077904786350158675200*lu1^13*f40[t]*(f44[t] + I*f44n[t])* g40[t] - 244851540248493732419712000*lu1^14*f40[t]* (f44[t] + I*f44n[t])*g40[t] - 114249778188812105978880000*lu1^15* f40[t]*(f44[t] + I*f44n[t])*g40[t] + 663*Sqrt[14]* (-3 + 37*lu1 + 6846*lu1^2)*(f22[t] + I*f22n[t])^2* (2*Sqrt[5]*(338474511 - 16345806696*lu1 + 79346334564*lu1^2 + 5989156738781*lu1^3 - 150650849422439*lu1^4 + 1542644377086334* lu1^5 + 9714056102559594*lu1^6 - 92111338748541799*lu1^7 - 238896679507522654*lu1^8 + 673158157900005444*lu1^9 + 2966974662629035000*lu1^10 + 3429817113633582880*lu1^11 + 1850255654127507200*lu1^12 + 848736564533760000*lu1^13)* f40[t] + 715*(518562 - 12838554*lu1 - 428149197*lu1^2 + 7981577025*lu1^3 + 79069915832*lu1^4 - 775538224464*lu1^5 - 6146548644613*lu1^6 - 23255120517199*lu1^7 - 49491248576680*lu1^ 8 + 1166568626261144*lu1^9 + 3097955253720624*lu1^10 + 3040519589022800*lu1^11 + 1406207790105600*lu1^12 + 10651908960000*lu1^13)*g20[t] + Sqrt[5]*(-177239583 + 1029453948*lu1 + 96600906423*lu1^2 + 1424467402212*lu1^3 + 30304769135837*lu1^4 - 331368733554712*lu1^5 - 1020566276526067*lu1^6 + 3952255932473932*lu1^7 + 26495467268469862*lu1^8 + 53687821149996028*lu1^9 - 84980228842734760*lu1^10 - 477068260485299920*lu1^11 - 551237997178460800*lu1^12 - 169691879006160000*lu1^13)* g40[t]) + 35234431093260*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 711033628981914*lu1* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 111857969316425724*lu1^2*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 3508359089336866674*lu1^3* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 49879805336897055408*lu1^4*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2562735453696520768638* lu1^5*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 8276075750529183813300*lu1^6* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 2682193444062307405902*lu1^7*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 219147864554983895657532*lu1^8*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 17473536372784130731391544*lu1^9*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 284803992823971707103024*lu1^10*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 310187112281867833501585824*lu1^11*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 559696929323585011351589952*lu1^12*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 132648427650462551410181760*lu1^13*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 761499374820461724660998400*lu1^14*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 338164525763395512886656000*lu1^15*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 447882826815*Sqrt[70]* f40[t]*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) - 57936301538598*Sqrt[70]*lu1*f40[t]*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t]) - 4552731884580867*Sqrt[70]*lu1^2*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 147321115815177018* Sqrt[70]*lu1^3*f40[t]*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 12166497846457685469*Sqrt[70]*lu1^4*f40[t]*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t]) - 6159163674636294336*Sqrt[70]*lu1^5*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) - 2411078338284870638025* Sqrt[70]*lu1^6*f40[t]*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) - 14211106275141770251446*Sqrt[70]*lu1^7*f40[t]*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t]) + 49605021070552286491356*Sqrt[70]*lu1^8* f40[t]*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 557049212985341797370658*Sqrt[70]*lu1^9*f40[t]*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t]) + 1003560173185721892981588*Sqrt[70]*lu1^10* f40[t]*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 447948282586245628309632*Sqrt[70]*lu1^11*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 3500508947964856269260256*Sqrt[70]*lu1^12*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 9507902331440679869832480*Sqrt[70]*lu1^13*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 4771420817226463606651200*Sqrt[70]*lu1^14*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) - 2405494711997530201440000*Sqrt[70]*lu1^15*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) - 13622745492720*Sqrt[3]* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 255663759323700*Sqrt[3]*lu1*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 34526408300436780* Sqrt[3]*lu1^2*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) - 137556077063637960*Sqrt[3]*lu1^3* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 11239053781372080300*Sqrt[3]*lu1^4*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 297394682818321244520* Sqrt[3]*lu1^5*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) - 999364082826816661500*Sqrt[3]*lu1^6* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 49174472033380828647240*Sqrt[3]*lu1^7*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 84138545363459047422780*Sqrt[3]*lu1^8*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 1517558851865417387399100*Sqrt[3]*lu1^9*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 3329668020847001919081360*Sqrt[3]*lu1^10*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 8484691488182626891902000*Sqrt[3]*lu1^11*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 34652372917097959399172160*Sqrt[3]*lu1^12*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 45196526412009448309579200*Sqrt[3]*lu1^13*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 30501995678469934024224000*Sqrt[3]*lu1^14*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 10207945850521310629920000*Sqrt[3]*lu1^15*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 8192257559010* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 81340175435778*lu1*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) + 23432517771008598*lu1^2* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 865531294294783662*lu1^3*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) - 79293848509281158046*lu1^4* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 1516589129534054814*lu1^5*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) + 6715404472616279868330*lu1^6* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 89628040146800857462614*lu1^7*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 467931338456236823776356*lu1^8*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 3934988322269765194302372*lu1^9*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 21155014136052897233073192*lu1^10*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 15891551345949927245928288*lu1^11*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 46167357124261996208764416*lu1^12*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 102008966149372476128760000*lu1^13*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 125596277067318477740208000*lu1^14*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 81867680460283637658816000*lu1^15*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 663*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (7150*Sqrt[14]*(232065 - 8290566*lu1 - 84042189*lu1^2 + 4613957916*lu1^3 - 39194139517*lu1^4 - 116323915062*lu1^5 + 6311143544381*lu1^6 - 34021172855056*lu1^7 - 192797638401988* lu1^8 + 796053898755728*lu1^9 + 1674955086059568*lu1^10 + 800100490298240*lu1^11 + 754389729787200*lu1^12 + 464334637536000*lu1^13)*(f22[t] + I*f22n[t])^2 + 15*Sqrt[14]*(-225696537 - 3062422512*lu1 + 446517135351*lu1^2 - 1194430285980*lu1^3 - 66097643406503*lu1^4 + 1175698197044480* lu1^5 - 6274688399011499*lu1^6 - 45523621717764548*lu1^7 - 96302393204143100*lu1^8 + 95375082636671504*lu1^9 + 357942037347445808*lu1^10 - 703044395903579200*lu1^11 - 1091696071045025600*lu1^12 + 139243449632672000*lu1^13)* (f42[t] + I*f42n[t])^2 - 5*Sqrt[14]*(f22[t] + I*f22n[t])* (2*Sqrt[3]*(200781855 - 8036370486*lu1 + 3351373914*lu1^2 + 2002200812517*lu1^3 - 36245199597879*lu1^4 + 582281675765620* lu1^5 + 2567752437884904*lu1^6 - 57982595727341819*lu1^7 - 169586452922709722*lu1^8 + 313743748948988824*lu1^9 + 1663954108037279776*lu1^10 + 2044648054428398640*lu1^11 + 1083349148959156000*lu1^12 + 393966492932880000*lu1^13)*( f42[t] + I*f42n[t]) + 143*(874071 - 22575834*lu1 - 555365916*lu1^2 + 11441585493*lu1^3 - 1366422969*lu1^4 - 68022269024*lu1^5 + 8843870757870*lu1^6 - 89076462674483* lu1^7 - 356056415366912*lu1^8 + 1249163689906168*lu1^9 + 4204861367007136*lu1^10 + 4540747005430800*lu1^11 + 3280794152358400*lu1^12 + 1387828817760000*lu1^13)*(g22[t] + I*g22n[t]) - Sqrt[3]*(64116279 - 888388506*lu1 - 24493108311*lu1^2 - 264043541952*lu1^3 - 6548058093843* lu1^4 + 95404465501646*lu1^5 + 237210688356591*lu1^6 - 2724167779885348*lu1^7 - 4615297601446012*lu1^8 + 7321577445616880*lu1^9 + 49469471140679264*lu1^10 + 154912301477552160*lu1^11 + 186142429680272000*lu1^12 + 60714600090480000*lu1^13)*(g42[t] + I*g42n[t])) + 5*Sqrt[14]*(f42[t] + I*f42n[t])*(Sqrt[3]*(179064756 - 3044225511*lu1 - 129221221941*lu1^2 + 471250749294*lu1^3 + 12920028523938*lu1^4 + 319162574340245*lu1^5 + 1633730724449031*lu1^6 - 29488108836257308*lu1^7 - 159206064345414280*lu1^8 - 168313800481035568*lu1^9 + 281150257917943184*lu1^10 + 803923224164304000*lu1^11 + 757897260583529600*lu1^12 + 299032997393760000*lu1^13)*( g22[t] + I*g22n[t]) - 3*(116964405 + 557464923*lu1 - 67347870093*lu1^2 - 1778991168735*lu1^3 - 23722249070709* lu1^4 + 173637437502585*lu1^5 + 1416661331635717*lu1^6 + 2086380650633927*lu1^7 - 31091455904939016*lu1^8 - 136810345830774316*lu1^9 - 105725404850379344*lu1^10 + 258218380774213200*lu1^11 + 418439023332016000*lu1^12 + 145129975697336000*lu1^13)*(g42[t] + I*g42n[t])) + 7*(3 + 2*lu1)*((f44[t] + I*f44n[t])*(5*(21859227 - 369514656* lu1 + 3226095621*lu1^2 - 212010602610*lu1^3 - 15656247298915*lu1^4 + 123347339793972*lu1^5 + 3036588309080507*lu1^6 + 4198502318067134*lu1^7 - 20098195059098344*lu1^8 - 83949607822243552*lu1^9 - 14307060321176880*lu1^10 + 248929211468055200*lu1^11 + 230140052964528000*lu1^12)*g20[t] - 6*Sqrt[5]*(23722875 - 232276023*lu1 - 10661233779*lu1^2 - 102291486589*lu1^3 + 416673234377*lu1^4 + 29414909881599*lu1^5 + 30297763539651* lu1^6 - 1057667280828227*lu1^7 - 1637504600525220*lu1^8 + 2043461701835208*lu1^9 + 10494401931562160*lu1^10 + 34201567233147600*lu1^11 + 36805295219000000*lu1^12)* g40[t]) + 6*Sqrt[5]*f40[t]*(2*(-7931295 - 1963814286*lu1 + 85257255097*lu1^2 - 393598559198*lu1^3 - 12209856192781* lu1^4 + 348919836064238*lu1^5 - 1165647090260413*lu1^6 - 18117340879135474*lu1^7 - 31819798030451520*lu1^8 - 14416789379570224*lu1^9 + 80448358517235120*lu1^10 + 164368003467567200*lu1^11 + 73836075723760000*lu1^12)* (f44[t] + I*f44n[t]) - 21*(-3 + 13*lu1 + 38*lu1^2)^2* (242091 + 2257095*lu1 - 77262684*lu1^2 - 4125214408*lu1^3 - 73008462095*lu1^4 - 224826443803*lu1^5 - 173123722120* lu1^6 + 1381672118500*lu1^7 + 1087928240000*lu1^8)* (g44[t] + I*g44n[t])))) - 221*(-3 + 37*lu1 + 6846*lu1^2)* (f22[t] + I*f22n[t])*(3*Sqrt[70]*f40[t]*(2*Sqrt[3]*(-509261175 - 10460963214*lu1 + 1983347878617*lu1^2 - 30993107678610* lu1^3 - 379250474860237*lu1^4 + 9050828566454446*lu1^5 + 17057863550257091*lu1^6 - 375222953976132214*lu1^7 - 413607692672170264*lu1^8 + 2099285432395806664*lu1^9 + 2980378799273763616*lu1^10 - 55916834822487680*lu1^11 + 273351306552411200*lu1^12 + 1250172216748000000*lu1^13)*( f42[t] + I*f42n[t]) + (558703197 - 9147957642*lu1 - 428182905087*lu1^2 + 2358431477272*lu1^3 + 27036443694677* lu1^4 + 762361180650138*lu1^5 + 7224347346922823*lu1^6 - 57145278513655268*lu1^7 - 290507021212300338*lu1^8 + 110851311784993708*lu1^9 + 1884006323943944600*lu1^10 + 2612687710523962800*lu1^11 + 1574177743602000000*lu1^12 + 726034374295440000*lu1^13)*(g22[t] + I*g22n[t]) - Sqrt[3]*(622069551 - 3871309518*lu1 - 334612038348*lu1^2 - 3691046475183*lu1^3 + 75671936835439*lu1^4 + 1040657822884036* lu1^5 - 4208766673480706*lu1^6 - 52062036155213311*lu1^7 + 45434817825350864*lu1^8 + 634262695599956408*lu1^9 + 959806979344365808*lu1^10 + 474651792167260720*lu1^11 + 320722520581240000*lu1^12 + 295703855803440000*lu1^13)*( g42[t] + I*g42n[t])) + 3*(Sqrt[42]*(f42[t] + I*f42n[t])*( 5*(214215651 - 4646106909*lu1 - 198996426804*lu1^2 + 2799607367934*lu1^3 + 49716561247291*lu1^4 - 247959867889449*lu1^5 - 4666900653546170*lu1^6 - 18682760759134904*lu1^7 - 43187988322466480*lu1^8 + 202719349667357008*lu1^9 + 1044328033498823376*lu1^10 + 1206057540388266400*lu1^11 + 346145469355214400*lu1^12 + 40724402434800000*lu1^13)*g20[t] - Sqrt[5]*(828938610 + 1046769453*lu1 - 701286502959*lu1^2 - 8587224964410*lu1^3 + 64820216153084*lu1^4 + 1249649931830573*lu1^5 - 4719471783721767*lu1^6 - 17993979293705652*lu1^7 + 5022196981025128*lu1^8 - 44592723194108028*lu1^9 + 249213380503641648*lu1^10 + 1600960894263462560*lu1^11 + 1868199096898953600*lu1^12 + 468614976577160000*lu1^13)* g40[t]) + 35*(f44[t] + I*f44n[t])*((356797467 - 8149215024* lu1 - 315278432553*lu1^2 + 5098320604312*lu1^3 + 65675939334021*lu1^4 - 550250676781040*lu1^5 - 4151532340044531*lu1^6 - 5777598732149520*lu1^7 - 217406647357273828*lu1^8 - 734732210652434184*lu1^9 + 582820414279610784*lu1^10 + 3974953584600867040*lu1^11 + 3960302527559977600*lu1^12 + 1008191301292896000*lu1^13)* (g22[t] - I*g22n[t]) - 2*Sqrt[3]*(106593651 + 254201166* lu1 - 90991978182*lu1^2 - 1210768611795*lu1^3 + 1108922407761*lu1^4 + 145948031855052*lu1^5 - 118942862266664*lu1^6 + 418676062173293*lu1^7 - 8611107664047894*lu1^8 - 67074523142896180*lu1^9 - 37850062124763536*lu1^10 + 256234680805603440*lu1^11 + 348642639375978400*lu1^12 + 89421408831272000*lu1^13)* (g42[t] - I*g42n[t])) + 70*Sqrt[3]*(f42[t] - I*f42n[t])*( 4*(-39352500 - 1489996467*lu1 + 141097977741*lu1^2 - 1284181621562*lu1^3 - 23762334300394*lu1^4 + 553020104673261*lu1^5 - 374160488040303*lu1^6 - 24803564465040540*lu1^7 - 41566233900194760*lu1^8 + 61890610002974124*lu1^9 + 161051187606964008*lu1^10 + 37649181629527920*lu1^11 + 673672747290400*lu1^12 + 75426850744784000*lu1^13)*(f44[t] + I*f44n[t]) - 3*(30552876 - 132334155*lu1 - 8991136917*lu1^2 - 298731126252* lu1^3 - 1976510803064*lu1^4 + 53270580994141*lu1^5 + 131176873855379*lu1^6 - 1953145575827062*lu1^7 - 2945575173856338*lu1^8 + 14630948142795840*lu1^9 + 35133602823532112*lu1^10 + 25518333238600640*lu1^11 + 19594749186253600*lu1^12 + 17262405753712000*lu1^13)* (g44[t] + I*g44n[t]))) - 70*(f22[t] - I*f22n[t])* (6*(132636771 - 6751023507*lu1 + 81268992294*lu1^2 + 158955685822*lu1^3 - 17364737806513*lu1^4 + 403882788661917* lu1^5 + 13906040837616*lu1^6 - 38938343094085780*lu1^7 - 79308870419795440*lu1^8 + 7861992578801932*lu1^9 + 474858967877469144*lu1^10 + 1434054402200846192*lu1^11 + 1469966522510274080*lu1^12 + 391459109134800000*lu1^13)*( f44[t] + I*f44n[t]) - (153559233 - 3788318808*lu1 + 649242405*lu1^2 - 274112759322*lu1^3 - 11391260361243*lu1^4 + 203793287651632*lu1^5 + 473292708075195*lu1^6 - 10979283145216418*lu1^7 + 1069621657118482*lu1^8 + 109381961660927572*lu1^9 + 117164198839590856*lu1^10 - 53271270482598096*lu1^11 - 68311519901306240*lu1^12 + 3443116306224000*lu1^13)*(g44[t] + I*g44n[t]))) + 15470*(-9 + 105*lu1 + 20612*lu1^2 + 13692*lu1^3)*f20[t]^2* (3*(23182524 - 2356818093*lu1 + 52875405072*lu1^2 + 679319996475*lu1^3 - 32294609342048*lu1^4 + 282184344300369*lu1^ 5 + 1342696193008888*lu1^6 - 5923294257987239*lu1^7 + 10937981478025276*lu1^8 + 10552229874926392*lu1^9 + 30940318227363936*lu1^10 + 237564923507634640*lu1^11 + 226131343901400000*lu1^12)*(f44[t] + I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(795186 + 2270616*lu1 - 348204569*lu1^2 - 10680746323*lu1^3 - 256877832479*lu1^4 - 495974392121*lu1^5 - 342436815958*lu1^6 + 3580823340880*lu1^7 + 3666184032000*lu1^8)*(g44[t] + I*g44n[t])) + 28250826585660*(f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) + 939982857060618*lu1*(f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) - 134124218658798228*lu1^2*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) - 3419603878123301778*lu1^3* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) + 152792217845200321416*lu1^4*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) + 2478078442981257273486*lu1^5* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) - 38114641843050565879380*lu1^6*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) - 137346984353682655666254*lu1^7* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) + 1597656152130478605806004*lu1^8*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) - 21384929897681447630734488*lu1^9* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) + 22204821653130159771929712*lu1^10*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) + 567526512014429620879866528*lu1^11* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) + 977556229301208892744108224*lu1^12*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) - 279311535681925693173333120*lu1^13* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) - 1362380533260702689691820800*lu1^14*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) - 570365096806061847626112000*lu1^15* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) + 46771079345865*f40[t]^2*(g44[t] + I*g44n[t]) + 20396227043745*lu1* f40[t]^2*(g44[t] + I*g44n[t]) - 107292764129662125*lu1^2*f40[t]^2* (g44[t] + I*g44n[t]) - 2227950947236787955*lu1^3*f40[t]^2* (g44[t] + I*g44n[t]) - 11442933174988294875*lu1^4*f40[t]^2* (g44[t] + I*g44n[t]) + 1831604871871214113695*lu1^5*f40[t]^2* (g44[t] + I*g44n[t]) + 18634947531219105501905*lu1^6*f40[t]^2* (g44[t] + I*g44n[t]) - 138538594137126334663785*lu1^7*f40[t]^2* (g44[t] + I*g44n[t]) - 1184223212652320536230010*lu1^8*f40[t]^2* (g44[t] + I*g44n[t]) + 1085692766182401134523500*lu1^9*f40[t]^2* (g44[t] + I*g44n[t]) + 21851026239268663972923080*lu1^10*f40[t]^2* (g44[t] + I*g44n[t]) + 47121771749061076768048880*lu1^11*f40[t]^2* (g44[t] + I*g44n[t]) + 8533194912251945440958880*lu1^12*f40[t]^2* (g44[t] + I*g44n[t]) - 85865374955096470084388800*lu1^13*f40[t]^2* (g44[t] + I*g44n[t]) - 108721043376043502881008000*lu1^14*f40[t]^2* (g44[t] + I*g44n[t]) - 38379221554907144076480000*lu1^15*f40[t]^2* (g44[t] + I*g44n[t]) - 13622745492720*Sqrt[3]*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 255663759323700* Sqrt[3]*lu1*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (g44[t] + I*g44n[t]) + 34526408300436780*Sqrt[3]*lu1^2* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 137556077063637960*Sqrt[3]*lu1^3*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 11239053781372080300* Sqrt[3]*lu1^4*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (g44[t] + I*g44n[t]) - 297394682818321244520*Sqrt[3]*lu1^5* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 999364082826816661500*Sqrt[3]*lu1^6*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 49174472033380828647240*Sqrt[3]*lu1^7*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 84138545363459047422780*Sqrt[3]*lu1^8*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 1517558851865417387399100*Sqrt[3]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 3329668020847001919081360*Sqrt[3]*lu1^10*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 8484691488182626891902000*Sqrt[3]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 34652372917097959399172160*Sqrt[3]*lu1^12*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 45196526412009448309579200*Sqrt[3]*lu1^13*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 30501995678469934024224000*Sqrt[3]*lu1^14*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 10207945850521310629920000*Sqrt[3]*lu1^15*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 103109836209660* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 491933117637738*lu1*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g44[t] + I*g44n[t]) - 271078201331754012*lu1^2* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 3347509773156722082*lu1^3*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g44[t] + I*g44n[t]) + 88183840897758584664*lu1^4* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 3943447981385307521574*lu1^5*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 25152798182580627593020*lu1^6*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 395876573640861366197886*lu1^7*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 2252254972486527858306044*lu1^8*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 6980986769379475292338948*lu1^9*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 50640394052377486205568328*lu1^10*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 75110680320772529265704032*lu1^11*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 11506141755664788763472256*lu1^12*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 70110449007186457794518720*lu1^13*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 130792163857170192371836800*lu1^14*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 95066815354416439450560000*lu1^15*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 101799108563670* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) - 2194135770227940*lu1*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g44[t] + I*g44n[t]) - 261607300776884790*lu1^2* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 468721221813051480*lu1^3*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g44[t] + I*g44n[t]) + 202283892893536271370*lu1^4* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 2197288935791167997100*lu1^5*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) - 29931079031876370453770*lu1^6*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) - 572364255011320593724560*lu1^7*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) - 271437710757691761053120*lu1^8*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 21902830695907587696865840*lu1^9*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 42553258524170198703562720*lu1^10*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) - 71099575089953870024862080*lu1^11*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) - 87348934395961646979836160*lu1^12*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 336013283859464339114371840*lu1^13*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 496435114381657635913881600*lu1^14*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 142158667531717175334912000*lu1^15*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t])))/ (51102051*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) + (10*(1 + lu1)*mar*f20[t]^2*(g44[t] - I*g44n[t]))/ (3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(1 + lu1)*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (g44[t] - I*g44n[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (10*(1 + lu1)*mar*f40[t]^2*(g44[t] - I*g44n[t]))/ (3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(1 + lu1)*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (20*(1 + lu1)*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)*Pi))/2 eqF44nf = (2*cap*(-46410*(144056232 + 6391703115*lu1 - 719118493614*lu1^2 - 20687819761089*lu1^3 + 775156329674640*lu1^4 + 11883437644442475* lu1^5 - 90259660736311194*lu1^6 + 840864085315070945*lu1^7 - 17611849188421275532*lu1^8 - 110222126259512811110*lu1^9 + 259615655233676397852*lu1^10 + 1203897845243007314192*lu1^11 + 1252586768837175440416*lu1^12 + 579661681286364546592*lu1^13 + 308403152335017190080*lu1^14 + 124103026955079648000*lu1^15)* f20[t]^2*f44n[t] + 442*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (5*Sqrt[14]*f22[t]*(286*(-409212 - 9602793*lu1 + 904917447*lu1^2 + 7034075208*lu1^3 - 418189583502*lu1^4 - 222809621353*lu1^5 + 43144543034547*lu1^6 - 42487027285702*lu1^7 - 869590577720752* lu1^8 + 1831123312175552*lu1^9 + 1089624199093040*lu1^10 - 5053002092085600*lu1^11 - 861078548944000*lu1^12 + 1524613453440000*lu1^13)*f22n[t] - 3*Sqrt[3]*(-124099506 + 43759782*lu1 + 171822471807*lu1^2 - 227969901381*lu1^3 - 45136304886206*lu1^4 + 152729808801560*lu1^5 + 2574278269772051*lu1^6 - 1106527593233285*lu1^7 + 17878024525748486*lu1^8 + 123961642170236412*lu1^9 + 186225417094214376*lu1^10 + 74677230732968640*lu1^11 + 8525722822840000*lu1^12 + 25879294638960000*lu1^13)*f42n[t]) - 3*(5*Sqrt[42]*(-124099506 + 43759782*lu1 + 171822471807*lu1^2 - 227969901381*lu1^3 - 45136304886206*lu1^4 + 152729808801560*lu1^ 5 + 2574278269772051*lu1^6 - 1106527593233285*lu1^7 + 17878024525748486*lu1^8 + 123961642170236412*lu1^9 + 186225417094214376*lu1^10 + 74677230732968640*lu1^11 + 8525722822840000*lu1^12 + 25879294638960000*lu1^13)*f22n[t]* f42[t] + 6*(5*Sqrt[14]*(155362212 - 118051128*lu1 - 163215274383*lu1^2 - 141477253137*lu1^3 + 18300390640642* lu1^4 - 241031347280622*lu1^5 - 135734507627179*lu1^6 - 2607876685917925*lu1^7 - 22872912448981436*lu1^8 - 78622897333051812*lu1^9 - 94527760929341920*lu1^10 + 161647412655300400*lu1^11 + 339996193765062400*lu1^12 + 110810019598264000*lu1^13)*f42[t]*f42n[t] - 14*Sqrt[5]*( -146987244 + 147351924*lu1 + 167123323353*lu1^2 - 296793270029*lu1^3 - 27783791859122*lu1^4 + 163039598259478* lu1^5 + 1137150198495989*lu1^6 + 2718477311982119*lu1^7 + 25417955573129296*lu1^8 + 56712604621334108*lu1^9 + 31369224932202288*lu1^10 + 845432876674320*lu1^11 + 13699296824800000*lu1^12 + 10017250817000000*lu1^13)*f40[ t]*f44n[t]))) + 3*(-15470*(598594536 - 11509605387*lu1 - 2140747678260*lu1^2 + 27585291076863*lu1^3 + 1966467245504642* lu1^4 - 21945639063625617*lu1^5 - 404962657077383764*lu1^6 + 3573376860631995633*lu1^7 + 24095776285902147258*lu1^8 - 62805002895864461876*lu1^9 + 530981108815566692292*lu1^10 + 1843151733993652530240*lu1^11 + 716686589806900260416*lu1^12 + 381391242142213659584*lu1^13 + 2538237663880437341760*lu1^14 + 1310548087493348256000*lu1^15)*f22[t]^2*f44n[t] - 15470*(598594536 - 11509605387*lu1 - 2140747678260*lu1^2 + 27585291076863*lu1^3 + 1966467245504642*lu1^4 - 21945639063625617*lu1^5 - 404962657077383764*lu1^6 + 3573376860631995633*lu1^7 + 24095776285902147258*lu1^8 - 62805002895864461876*lu1^9 + 530981108815566692292*lu1^10 + 1843151733993652530240*lu1^11 + 716686589806900260416*lu1^12 + 381391242142213659584*lu1^13 + 2538237663880437341760*lu1^14 + 1310548087493348256000*lu1^15)*f22n[t]^2*f44n[t] - 221*Sqrt[3]*(-3 + 37*lu1 + 6846*lu1^2)*f22n[t]* (Sqrt[70]*(3319223508 - 3501957483*lu1 - 3696192794511*lu1^2 + 5097941963148*lu1^3 + 548417257363874*lu1^4 - 1563570226272291* lu1^5 + 1200192241936237*lu1^6 + 79156844082982882*lu1^7 - 653686010421833572*lu1^8 - 2599263442846200336*lu1^9 - 702894163472714816*lu1^10 + 4845385971286242560*lu1^11 + 4739394442789664000*lu1^12 + 1074615946206320000*lu1^13)*f40[t]* f42[t] + 70*((-69957972 + 159022395*lu1 + 120538367439*lu1^2 - 1462017573628*lu1^3 - 48000008724482*lu1^4 + 35601797145683* lu1^5 + 5176375081904019*lu1^6 + 11371476207265230*lu1^7 + 17432686192281220*lu1^8 - 110724786895481136*lu1^9 - 148361360368521792*lu1^10 + 758143576307920640*lu1^11 + 1288372770985184000*lu1^12 + 415217252597392000*lu1^13)*f42[ t]*f44[t] - (-1072440108 + 1136996181*lu1 + 1232080415265* lu1^2 - 2665410679268*lu1^3 - 212203931022414*lu1^4 + 956747992845565*lu1^5 + 7926489269539133*lu1^6 + 10818744792848498*lu1^7 + 196091130889344588*lu1^8 + 476784453019283184*lu1^9 + 146681015837581568*lu1^10 - 101408731166627200*lu1^11 + 236003565972665600*lu1^12 + 148229835599664000*lu1^13)*f42n[t]*f44n[t])) + 221*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]* (10*Sqrt[70]*(78580800 + 1329241023*lu1 - 121032868131*lu1^2 - 1099227231446*lu1^3 + 30041065406398*lu1^4 - 74139685859793*lu1^ 5 - 351115863786375*lu1^6 + 5481201832262300*lu1^7 - 13894305323563500*lu1^8 - 115393405267614420*lu1^9 - 201080526609347480*lu1^10 - 82757272660451472*lu1^11 + 49144651324973920*lu1^12 + 10331972807184000*lu1^13)*f22n[t]* f40[t] + Sqrt[3]*(-(Sqrt[70]*(3319223508 - 3501957483*lu1 - 3696192794511*lu1^2 + 5097941963148*lu1^3 + 548417257363874* lu1^4 - 1563570226272291*lu1^5 + 1200192241936237*lu1^6 + 79156844082982882*lu1^7 - 653686010421833572*lu1^8 - 2599263442846200336*lu1^9 - 702894163472714816*lu1^10 + 4845385971286242560*lu1^11 + 4739394442789664000*lu1^12 + 1074615946206320000*lu1^13)*f40[t]*f42n[t]) + 70*((-69957972 + 159022395*lu1 + 120538367439*lu1^2 - 1462017573628*lu1^3 - 48000008724482*lu1^4 + 35601797145683* lu1^5 + 5176375081904019*lu1^6 + 11371476207265230*lu1^7 + 17432686192281220*lu1^8 - 110724786895481136*lu1^9 - 148361360368521792*lu1^10 + 758143576307920640*lu1^11 + 1288372770985184000*lu1^12 + 415217252597392000*lu1^13)* f42n[t]*f44[t] + (-1072440108 + 1136996181*lu1 + 1232080415265*lu1^2 - 2665410679268*lu1^3 - 212203931022414* lu1^4 + 956747992845565*lu1^5 + 7926489269539133*lu1^6 + 10818744792848498*lu1^7 + 196091130889344588*lu1^8 + 476784453019283184*lu1^9 + 146681015837581568*lu1^10 - 101408731166627200*lu1^11 + 236003565972665600*lu1^12 + 148229835599664000*lu1^13)*f42[t]*f44n[t]))) + 16*(-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)* (9*Sqrt[70]*(987084036 - 82340488755*lu1 - 2698027284492*lu1^2 + 207264471272796*lu1^3 + 2825936460702885*lu1^4 - 56433465361050053*lu1^5 - 953080752033995350*lu1^6 - 4391674591162984394*lu1^7 + 4640775150120651037*lu1^8 - 17617437467731119490*lu1^9 + 94691330378915995900*lu1^10 + 89984518672584165000*lu1^11)*f40[t]*f42[t]*f42n[t] + 35*(2615444964 + 67788012033*lu1 - 8507003060604*lu1^2 - 229298965676550*lu1^3 + 2360902216072801*lu1^4 + 49295487004452531*lu1^5 + 1809357927510344970*lu1^6 + 15520424804157694844*lu1^7 - 93603884534496607599*lu1^8 - 161560285995383690370*lu1^9 + 131119739402063001100*lu1^10 + 217105177974348993000*lu1^11)*f40[t]^2*f44n[t] + 7*f44n[t]*((35038205964 - 63184278465*lu1 - 109352276166468* lu1^2 - 427609415310336*lu1^3 + 49042450307053975*lu1^4 - 14946318204925167*lu1^5 + 9515852506797491550*lu1^6 + 115679176721110088894*lu1^7 - 894271868993880216657*lu1^8 - 1774159797163416979110*lu1^9 + 2163419367430873974100* lu1^10 + 2980912447796747415000*lu1^11)*f42[t]^2 + (35038205964 - 63184278465*lu1 - 109352276166468*lu1^2 - 427609415310336*lu1^3 + 49042450307053975*lu1^4 - 14946318204925167*lu1^5 + 9515852506797491550*lu1^6 + 115679176721110088894*lu1^7 - 894271868993880216657*lu1^8 - 1774159797163416979110*lu1^9 + 2163419367430873974100* lu1^10 + 2980912447796747415000*lu1^11)*f42n[t]^2 + 14*(3560319036 - 92735114985*lu1 - 10701620388132*lu1^2 + 191525546698686*lu1^3 + 6530821229828375*lu1^4 - 61532021330048283*lu1^5 - 341454198122317050*lu1^6 + 3557432703833237356*lu1^7 - 58904302981576460793*lu1^8 - 145601525655670269390*lu1^9 + 255984951651043850900*lu1^10 + 309334301991822135000*lu1^11)*(f44[t]^2 + f44n[t]^2))))))/ (51102051*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) - (I/2)*((-10*(-1 + 26*lu1)*mar*f20[t]^2*(f44[t] - I*f44n[t]))/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) - (20*(-1 + 26*lu1)*mar* (f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t]))/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) - (10*(-1 + 26*lu1)*mar*f40[t]^2* (f44[t] - I*f44n[t]))/((-1 + 7*lu1 + 170*lu1^2)*Pi) - (20*(-1 + 26*lu1)*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]))/((-1 + 7*lu1 + 170*lu1^2)*Pi) - (20*(-1 + 26*lu1)*mar*(f44[t] - I*f44n[t])^2*(f44[t] + I*f44n[t]))/ ((-1 + 7*lu1 + 170*lu1^2)*Pi) - (10*(-1 + 5*lu1)*mar*f20[t]* (f44[t] - I*f44n[t])*(10*(-3 - 13*lu1 + 16*lu1^2)*f20[t] + (39 + 61*lu1 - 84*lu1^2)*g20[t]))/((3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (25*mar*(f22[t] - I*f22n[t])^2* ((-6 + 22*lu1 + 8*lu1^2)*f20[t] + (3 - 3*lu1 - 8*lu1^2)*g20[t]))/ (Sqrt[14]*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (225*Sqrt[3/14]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-6 + 22*lu1 + 8*lu1^2)*f20[t] + (3 - 3*lu1 - 8*lu1^2)*g20[t]))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (5*Sqrt[2/21]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-19 + 359*lu1 + 44*lu1^2)*f20[t] + (-29 - 76*lu1 + 89*lu1^2)* g20[t]))/((-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (45*Sqrt[2/7]*mar*(f42[t] - I*f42n[t])^2*((-19 + 359*lu1 + 44*lu1^2)* f20[t] + (-29 - 76*lu1 + 89*lu1^2)*g20[t]))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (Sqrt[14/3]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*f20[t] + (-36 - 9*lu1 + 101*lu1^2)* g20[t]))/(11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (45*Sqrt[14]*mar*(f42[t] - I*f42n[t])^2*(3*(9 + 11*lu1 + 36*lu1^2)* f20[t] + (-36 - 9*lu1 + 101*lu1^2)*g20[t]))/ (143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (12*mar*f20[t]*(f44[t] - I*f44n[t])*(3*(9 + 11*lu1 + 36*lu1^2)* f20[t] + (-36 - 9*lu1 + 101*lu1^2)*g20[t]))/ (11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (108*Sqrt[5]*mar*f40[t]*(f44[t] - I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*f20[t] + (-36 - 9*lu1 + 101*lu1^2)* g20[t]))/(143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (125*lu1*mar*(f22[t] - I*f22n[t])^2* ((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*f20[t] + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*g20[t]))/ (2*Sqrt[14]*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (1125*Sqrt[3/14]*lu1*mar*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)* f20[t] + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*g20[t]))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (25*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])^2* ((42 + 32*lu1 + 514*lu1^2 + 36*lu1^3)*f20[t] - (57 + 18*lu1 - 17*lu1^2 + 150*lu1^3)*g20[t]))/ (2*Sqrt[14]*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (75*Sqrt[3/14]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (2*(-273 - 48*lu1 - 589*lu1^2 + 310*lu1^3)*f20[t] + (549 + 362*lu1 - 765*lu1^2 + 254*lu1^3)*g20[t]))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (30*lu1*mar*f20[t]*(f44[t] - I*f44n[t])* (4*(-516 - 3715*lu1 - 1333*lu1^2 + 7916*lu1^3)*f20[t] + (3837 + 4600*lu1 - 5899*lu1^2 + 598*lu1^3)*g20[t]))/ (11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) - (270*Sqrt[5]*lu1*mar*f40[t]*(f44[t] - I*f44n[t])* (4*(-516 - 3715*lu1 - 1333*lu1^2 + 7916*lu1^3)*f20[t] + (3837 + 4600*lu1 - 5899*lu1^2 + 598*lu1^3)*g20[t]))/ (143*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) - (6*(-1 + 5*lu1)*mar*f20[t]*(f44[t] - I*f44n[t])* (2*(-129 - 745*lu1 + 218*lu1^2 + 4184*lu1^3)*f20[t] + (519 - 370*lu1 - 943*lu1^2 + 3146*lu1^3)*g20[t]))/ (11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) + (18*Sqrt[5]*(-1 + 5*lu1)*mar*f40[t]* (f44[t] - I*f44n[t])*(2*(-1353 - 6421*lu1 - 2818*lu1^2 + 18824*lu1^3)*f20[t] + (4623 + 1886*lu1 - 9087*lu1^2 + 8066*lu1^3)* g20[t]))/(143*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) - (675*Sqrt[2/7]*lu1*mar*(f42[t] - I*f42n[t])^2* (2*(-3066 + 24523*lu1 - 32652*lu1^2 - 78681*lu1^3 + 836*lu1^4)* f20[t] + (1749 - 10580*lu1 + 16219*lu1^2 + 41854*lu1^3 - 21242*lu1^4)*g20[t]))/(143*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (15*Sqrt[2/7]*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])^2* (2*(20076 - 287284*lu1 + 4999*lu1^2 + 517561*lu1^3 + 37388*lu1^4)* f20[t] + 5*(4710 + 33541*lu1 - 20349*lu1^2 - 69768*lu1^3 + 25378*lu1^4)*g20[t]))/(143*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (10*Sqrt[6/7]*lu1*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((1302 - 195547*lu1 + 51986*lu1^2 + 491807*lu1^3 + 115812*lu1^4)* f20[t] + (17994 + 62851*lu1 - 50323*lu1^2 - 107391*lu1^3 + 47189*lu1^4)*g20[t]))/(11*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (Sqrt[2/21]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (2*(777 - 136667*lu1 + 270611*lu1^2 + 665087*lu1^3 + 99412*lu1^4)* f20[t] + (22683 + 40567*lu1 - 232176*lu1^2 - 174492*lu1^3 + 222178*lu1^4)*g20[t]))/(11*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (10*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (10*(-3 - 13*lu1 + 16*lu1^2)*(f22[t] - I*f22n[t]) + (39 + 61*lu1 - 84*lu1^2)*(g22[t] - I*g22n[t])))/ ((3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (25*mar*f20[t]*(f22[t] - I*f22n[t])*((-6 + 22*lu1 + 8*lu1^2)* (f22[t] - I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)* (g22[t] - I*g22n[t])))/(Sqrt[14]*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (225*Sqrt[3/14]*mar*f20[t]*(f42[t] - I*f42n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] - I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (45*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] - I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (5*Sqrt[5/14]*mar*(f22[t] - I*f22n[t])*f40[t]* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] - I*g22n[t])))/ (3*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (15*Sqrt[15/14]*mar*f40[t]*(f42[t] - I*f42n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (15*Sqrt[3]*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] - I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (Sqrt[70]*mar*(f22[t] - I*f22n[t])*f40[t]* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (33*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (2*Sqrt[42]*mar*f20[t]*(f42[t] - I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (11*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (3*Sqrt[210]*mar*f40[t]*(f42[t] - I*f42n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (13*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (30*Sqrt[3]*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] - I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] - I*g22n[t])))/ (143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (2*(-471 - 3348*lu1 + 665*lu1^2 + 2554*lu1^3)*(f22[t] - I*f22n[t]) + (1539 + 3002*lu1 - 2415*lu1^2 - 1726*lu1^3)*(g22[t] - I*g22n[t])))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (225*lu1*mar*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*((-342 - 3156*lu1 + 350*lu1^2 + 2188*lu1^3)* (f22[t] - I*f22n[t]) + (639 + 1332*lu1 - 945*lu1^2 - 706*lu1^3)* (g22[t] - I*g22n[t])))/(22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (125*lu1*mar*f20[t]*(f22[t] - I*f22n[t])* ((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)*(f22[t] - I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)*(g22[t] - I*g22n[t])))/ (2*Sqrt[14]*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (1125*Sqrt[3/14]*lu1*mar*f20[t]* (f42[t] - I*f42n[t])*((-210 - 956*lu1 - 486*lu1^2 + 692*lu1^3)* (f22[t] - I*f22n[t]) + (309 + 452*lu1 - 395*lu1^2 - 46*lu1^3)* (g22[t] - I*g22n[t])))/(22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (25*(-1 + 5*lu1)*mar*f20[t]* (f22[t] - I*f22n[t])*((42 + 32*lu1 + 514*lu1^2 + 36*lu1^3)* (f22[t] - I*f22n[t]) - (57 + 18*lu1 - 17*lu1^2 + 150*lu1^3)* (g22[t] - I*g22n[t])))/(2*Sqrt[14]*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (75*Sqrt[3/14]*(-1 + 5*lu1)*mar*f20[t]*(f42[t] - I*f42n[t])* (2*(-273 - 48*lu1 - 589*lu1^2 + 310*lu1^3)*(f22[t] - I*f22n[t]) + (549 + 362*lu1 - 765*lu1^2 + 254*lu1^3)*(g22[t] - I*g22n[t])))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (5*Sqrt[42]*lu1*mar*f20[t]*(f42[t] - I*f42n[t])* (4*(-516 - 3715*lu1 - 1333*lu1^2 + 7916*lu1^3)* (f22[t] - I*f22n[t]) + (3837 + 4600*lu1 - 5899*lu1^2 + 598*lu1^3)* (g22[t] - I*g22n[t])))/(11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) + (45*Sqrt[210]*lu1*mar*f40[t]* (f42[t] - I*f42n[t])*(4*(-516 - 3715*lu1 - 1333*lu1^2 + 7916*lu1^3)* (f22[t] - I*f22n[t]) + (3837 + 4600*lu1 - 5899*lu1^2 + 598*lu1^3)* (g22[t] - I*g22n[t])))/(143*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) + (Sqrt[42]*(-1 + 5*lu1)*mar*f20[t]*(f42[t] - I*f42n[t])* (2*(-129 - 745*lu1 + 218*lu1^2 + 4184*lu1^3)*(f22[t] - I*f22n[t]) + (519 - 370*lu1 - 943*lu1^2 + 3146*lu1^3)*(g22[t] - I*g22n[t])))/ (11*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) - (3*Sqrt[210]*(-1 + 5*lu1)*mar*f40[t]* (f42[t] - I*f42n[t])*(2*(-1353 - 6421*lu1 - 2818*lu1^2 + 18824*lu1^3)*(f22[t] - I*f22n[t]) + (4623 + 1886*lu1 - 9087*lu1^2 + 8066*lu1^3)*(g22[t] - I*g22n[t])))/ (143*(9 - 90*lu1 - 1507*lu1^2 + 5600*lu1^3 + 29284*lu1^4 + 25840*lu1^5)*Pi) + (225*Sqrt[3]*lu1*mar*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(4*(-1578 - 61054*lu1 - 1635*lu1^2 + 141927*lu1^3 + 46660*lu1^4)*(f22[t] - I*f22n[t]) + (31035 + 85582*lu1 - 57929*lu1^2 - 113720*lu1^3 + 46072*lu1^4)* (g22[t] - I*g22n[t])))/(286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (225*Sqrt[15/14]*lu1*mar*f40[t]*(f42[t] - I*f42n[t])* (4*(-7770 - 109762*lu1 - 47351*lu1^2 + 226255*lu1^3 + 109988*lu1^4)* (f22[t] - I*f22n[t]) + (77079 + 171478*lu1 - 91917*lu1^2 - 153736*lu1^3 + 50856*lu1^4)*(g22[t] - I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*Sqrt[5/14]*lu1*mar*(f22[t] - I*f22n[t])*f40[t]* (4*(-9534 - 280786*lu1 - 28017*lu1^2 + 639381*lu1^3 + 226636*lu1^4)* (f22[t] - I*f22n[t]) + (152553 + 401722*lu1 - 260771*lu1^2 - 499592*lu1^3 + 197128*lu1^4)*(g22[t] - I*g22n[t])))/ (22*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (2*(3621 - 772289*lu1 - 181666*lu1^2 + 1492646*lu1^3 + 413608*lu1^4)* (f22[t] - I*f22n[t]) + (171921 + 469546*lu1 - 414891*lu1^2 - 643464*lu1^3 + 398968*lu1^4)*(g22[t] - I*g22n[t])))/ (286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (Sqrt[5/14]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*f40[t]*(2*(-6573 - 325687*lu1 + 523666*lu1^2 + 1602922*lu1^3 + 374552*lu1^4)*(f22[t] - I*f22n[t]) + (78063 + 79622*lu1 - 539301*lu1^2 - 190392*lu1^3 + 576488*lu1^4)* (g22[t] - I*g22n[t])))/(66*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*Sqrt[15/14]*(-1 + 5*lu1)*mar*f40[t]*(f42[t] - I*f42n[t])* (2*(-45087 - 1035917*lu1 - 437218*lu1^2 + 2102678*lu1^3 + 865384*lu1^4)*(f22[t] - I*f22n[t]) + (338349 + 648394*lu1 - 696759*lu1^2 - 571176*lu1^3 + 592552*lu1^4)* (g22[t] - I*g22n[t])))/(286*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*mar*(f22[t] - I*f22n[t])*(5*(f22[t] - I*f22n[t])* ((-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)*f20[t] + 6*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*g20[t]) + (1179 + 5794*lu1 - 3797*lu1^2 - 10088*lu1^3)*f20[t]* (g22[t] - I*g22n[t])))/(7*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)^2* Pi) - (5*mar*(f22[t] - I*f22n[t])*((f22[t] - I*f22n[t])* (5*(-117 - 2300*lu1 + 3319*lu1^2 + 1402*lu1^3)*f20[t] + 2*(516 + 2881*lu1 + 482*lu1^2 - 807*lu1^3)*g20[t]) - (-237 + 448*lu1 + 5511*lu1^2 + 7334*lu1^3)*f20[t]* (g22[t] - I*g22n[t])))/(7*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)^2* Pi) + (5*mar*(f22[t] - I*f22n[t])*((f22[t] - I*f22n[t])* (8*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)*f20[t] + 3*(-21 + 80*lu1 + 4039*lu1^2 + 11390*lu1^3)*g20[t]) - 2*(-19 + 3604*lu1 + 11369*lu1^2 + 40470*lu1^3)*f20[t]* (g22[t] - I*g22n[t])))/(11*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*(12*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)*f20[t] - (147 + 10348*lu1 + 29703*lu1^2 + 116090*lu1^3)*g20[t]) + (219 - 208*lu1 + 27543*lu1^2 + 91870*lu1^3)*f20[t]*(g22[t] - I*g22n[t])))/ (154*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)* Pi) - (5*mar*(f22[t] - I*f22n[t])*(-8*(f22[t] - I*f22n[t])* (3*(-7 + 1783*lu1 - 6296*lu1^2 + 20120*lu1^3)*f20[t] - (-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*g20[t]) + (483 + 19976*lu1 + 23055*lu1^2 + 129670*lu1^3)*f20[t]* (g22[t] - I*g22n[t])))/(154*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (25*lu1*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*(24*(17 - 111*lu1 + 34175*lu1^2 - 128049*lu1^3 + 93392*lu1^4)*f20[t] + (1773 - 12619*lu1 - 311887*lu1^2 + 118891*lu1^3 + 2028610*lu1^4)*g20[t]) + (-4173 + 13493*lu1 - 90553*lu1^2 + 57031*lu1^3 - 4593014*lu1^4)* f20[t]*(g22[t] - I*g22n[t])))/(11*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*((5379 - 131894*lu1 + 1540207*lu1^2 - 2365456*lu1^3 + 1852244*lu1^4)*f20[t] + (-57 + 316*lu1 + 7483*lu1^2 + 33626*lu1^3 + 473960*lu1^4)* g20[t]) - (2055 - 55105*lu1 + 1382603*lu1^2 + 635137*lu1^3 + 760942*lu1^4)*f20[t]*(g22[t] - I*g22n[t])))/ (33*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) + (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* ((f22[t] - I*f22n[t])*(2*(-128106 + 2152857*lu1 - 12560983*lu1^2 + 91305231*lu1^3 + 1043329553*lu1^4 - 2648173428*lu1^5 + 3342716*lu1^6)*f20[t] + 3*(24513 - 7942*lu1 + 963760*lu1^2 - 65801370*lu1^3 - 371836165*lu1^4 + 90241456*lu1^5 + 183673476*lu1^6)*g20[t]) + 6*(17397 - 186408*lu1 - 2718070*lu1^2 + 5588100*lu1^3 + 73184885*lu1^4 + 120761964*lu1^5 + 29899844*lu1^6)*f20[t]*(g22[t] - I*g22n[t])))/ (462*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) + (25*lu1*mar*(f22[t] - I*f22n[t])* ((f22[t] - I*f22n[t])*(6*(6207 - 5068*lu1 + 2777542*lu1^2 - 39186964*lu1^3 - 217534337*lu1^4 + 424590248*lu1^5 + 44122036*lu1^6)*f20[t] + (-34665 - 606136*lu1 - 203974*lu1^2 + 159779608*lu1^3 + 776786419*lu1^4 + 515697912*lu1^5 + 505272804*lu1^6)*g20[t]) - 4*(-3345 + 73082*lu1 + 92408*lu1^2 - 15020606*lu1^3 + 20353957*lu1^4 + 302686356*lu1^5 + 404866212*lu1^6)*f20[t]*(g22[t] - I*g22n[t])))/ (154*Sqrt[14]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) + (75*lu1*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*((6207 - 5068*lu1 + 2777542*lu1^2 - 39186964*lu1^3 - 217534337*lu1^4 + 424590248*lu1^5 + 44122036*lu1^6)*f20[t] + 2*(-54 + 7977*lu1 + 2837*lu1^2 + 319251*lu1^3 - 4500487*lu1^4 - 445704*lu1^5 + 19877876*lu1^6)* g20[t]) - (6879 + 331396*lu1 + 202550*lu1^2 - 72010340*lu1^3 - 249792145*lu1^4 + 229899688*lu1^5 + 450908852*lu1^6)*f20[t]* (g22[t] - I*g22n[t])))/(154*Sqrt[14]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (2*(f22[t] - I*f22n[t])*((-128106 + 2152857*lu1 - 12560983*lu1^2 + 91305231*lu1^3 + 1043329553*lu1^4 - 2648173428*lu1^5 + 3342716*lu1^6)*f20[t] - 2*(-3069 + 79986*lu1 - 26708*lu1^2 + 155106*lu1^3 - 24661307*lu1^4 + 32725716*lu1^5 + 168520804*lu1^6)*g20[t]) + (165645 - 822330*lu1 - 13523972*lu1^2 - 163255086*lu1^3 - 775044413*lu1^4 + 1126199016*lu1^5 + 1404502708*lu1^6)*f20[t]* (g22[t] - I*g22n[t])))/(462*Sqrt[14]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (10*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (10*(-3 - 13*lu1 + 16*lu1^2)*(f22[t] + I*f22n[t]) + (39 + 61*lu1 - 84*lu1^2)*(g22[t] + I*g22n[t])))/ ((3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (45*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((-6 + 22*lu1 + 8*lu1^2)*(f22[t] + I*f22n[t]) + (3 - 3*lu1 - 8*lu1^2)*(g22[t] + I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (5*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] + I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] + I*g22n[t])))/ (3*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) + (30*Sqrt[3]*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* ((-19 + 359*lu1 + 44*lu1^2)*(f22[t] + I*f22n[t]) + (-29 - 76*lu1 + 89*lu1^2)*(g22[t] + I*g22n[t])))/ (11*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*Pi) - (2*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] + I*g22n[t])))/ (33*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) + (60*Sqrt[3]*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (3*(9 + 11*lu1 + 36*lu1^2)*(f22[t] + I*f22n[t]) + (-36 - 9*lu1 + 101*lu1^2)*(g22[t] + I*g22n[t])))/ (143*(-9 + 27*lu1 + 166*lu1^2 + 152*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (2*(-471 - 3348*lu1 + 665*lu1^2 + 2554*lu1^3)*(f22[t] + I*f22n[t]) + (1539 + 3002*lu1 - 2415*lu1^2 - 1726*lu1^3)*(g22[t] + I*g22n[t])))/ (22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) + (225*lu1*mar*(f22[t] - I*f22n[t])* (f44[t] - I*f44n[t])*((-342 - 3156*lu1 + 350*lu1^2 + 2188*lu1^3)* (f22[t] + I*f22n[t]) + (639 + 1332*lu1 - 945*lu1^2 - 706*lu1^3)* (g22[t] + I*g22n[t])))/(22*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*Pi) - (225*Sqrt[3]*lu1*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (4*(-1578 - 61054*lu1 - 1635*lu1^2 + 141927*lu1^3 + 46660*lu1^4)* (f22[t] + I*f22n[t]) + (31035 + 85582*lu1 - 57929*lu1^2 - 113720*lu1^3 + 46072*lu1^4)*(g22[t] + I*g22n[t])))/ (143*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*lu1*mar*(f22[t] - I*f22n[t])* (f44[t] - I*f44n[t])*(4*(-3342 - 232078*lu1 + 17699*lu1^2 + 555053*lu1^3 + 163308*lu1^4)*(f22[t] + I*f22n[t]) + (106509 + 315826*lu1 - 226783*lu1^2 - 459576*lu1^3 + 192344*lu1^4)* (g22[t] + I*g22n[t])))/(22*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (2*(3621 - 772289*lu1 - 181666*lu1^2 + 1492646*lu1^3 + 413608*lu1^4)* (f22[t] + I*f22n[t]) + (171921 + 469546*lu1 - 414891*lu1^2 - 643464*lu1^3 + 398968*lu1^4)*(g22[t] + I*g22n[t])))/ (143*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - ((-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (2*(-1929 - 295771*lu1 + 533698*lu1^2 + 1447066*lu1^3 + 274136*lu1^4)*(f22[t] + I*f22n[t]) + (59379 + 80486*lu1 - 496473*lu1^2 - 281016*lu1^3 + 500984*lu1^4)* (g22[t] + I*g22n[t])))/(66*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*Pi) - (5*Sqrt[5/14]*mar*(f22[t] - I*f22n[t])^2*((-50 + 4*lu1)*f40[t] + 7*(1 + lu1)*g40[t]))/(3*(3 + 32*lu1 + 20*lu1^2)*Pi) + (15*Sqrt[15/14]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-50 + 4*lu1)*f40[t] + 7*(1 + lu1)*g40[t]))/ (11*(3 + 32*lu1 + 20*lu1^2)*Pi) + (Sqrt[70]*mar*(f22[t] - I*f22n[t])^2*(4*(-17 + 323*lu1 + 16*lu1^2)* f40[t] + (16 - 115*lu1 - 293*lu1^2)*g40[t]))/ (33*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (15*Sqrt[210]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*f40[t] + (16 - 115*lu1 - 293*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (100*(-1 + 5*lu1)*mar*f40[t]*(f44[t] - I*f44n[t])* ((46 - 394*lu1 + 532*lu1^2)*f40[t] + (13 + 215*lu1 - 284*lu1^2)* g40[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (315*Sqrt[70]*mar*(f42[t] - I*f42n[t])^2*((47 - 1265*lu1 + 794*lu1^2)* f40[t] + 9*(-3 + lu1 + 58*lu1^2)*g40[t]))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (525*mar*f40[t]*(f44[t] - I*f44n[t])*((47 - 1265*lu1 + 794*lu1^2)* f40[t] + 9*(-3 + lu1 + 58*lu1^2)*g40[t]))/ (1859*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (5*Sqrt[15/14]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*f40[t] + 7*(-5 - 61*lu1 + 106*lu1^2)* g40[t]))/(11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (135*Sqrt[5/14]*mar*(f42[t] - I*f42n[t])^2* ((-95 + 497*lu1 + 2374*lu1^2)*f40[t] + 7*(-5 - 61*lu1 + 106*lu1^2)* g40[t]))/(121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (Sqrt[210]*mar*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (135*Sqrt[70]*mar*(f42[t] - I*f42n[t])^2*((-41 - 817*lu1 + 1978*lu1^2)* f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)*g40[t]))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (36*Sqrt[5]*mar*f20[t]*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)* g40[t]))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (1620*mar*f40[t]*(f44[t] - I*f44n[t])*((-41 - 817*lu1 + 1978*lu1^2)* f40[t] + 2*(-31 - 209*lu1 + 632*lu1^2)*g40[t]))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (90*Sqrt[5]*lu1*mar*f20[t]*(f44[t] - I*f44n[t])* (2*(11742 - 83339*lu1 - 130117*lu1^2 + 233074*lu1^3)*f40[t] + (6789 + 107456*lu1 - 68105*lu1^2 - 2236*lu1^3)*g40[t]))/ (143*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (18*Sqrt[5]*(-1 + 5*lu1)*mar*f20[t]*(f44[t] - I*f44n[t])* (2*(1837 - 15194*lu1 - 30577*lu1^2 + 67454*lu1^3)*f40[t] + (923 + 14300*lu1 - 20099*lu1^2 + 37804*lu1^3)*g40[t]))/ (143*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[5/14]*lu1*mar*(f22[t] - I*f22n[t])^2* (2*(115431 - 460341*lu1 - 2990114*lu1^2 - 847024*lu1^3 + 1451488*lu1^4)*f40[t] + (77943 + 1246608*lu1 + 1311461*lu1^2 - 510500*lu1^3 - 463432*lu1^4)*g40[t]))/(22*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (225*Sqrt[15/14]*lu1*mar* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (2*(50793 - 118419*lu1 - 1559062*lu1^2 - 305504*lu1^3 + 644192*lu1^4)*f40[t] + (40521 + 583008*lu1 + 573787*lu1^2 - 208828*lu1^3 - 204488*lu1^4)*g40[t]))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (225*lu1*mar*f40[t]*(f44[t] - I*f44n[t])* (2*(552702 - 1951955*lu1 - 16715225*lu1^2 - 3694810*lu1^3 + 23949608*lu1^4)*f40[t] - 9*(-41961 - 672926*lu1 - 845703*lu1^2 + 585494*lu1^3 + 118968*lu1^4)*g40[t]))/ (3718*(3 + 10*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[15/14]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(2*(84051 + 1101527*lu1 - 6013674*lu1^2 - 3388272*lu1^3 + 2124128*lu1^4)*f40[t] + (159435 + 1532116*lu1 + 1477701*lu1^2 + 358980*lu1^3 + 180088*lu1^4)*g40[t]))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (Sqrt[5/14]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])^2*(2*(60273 - 137627*lu1 - 3587622*lu1^2 - 2783328*lu1^3 + 871264*lu1^4)*f40[t] + (39033 + 597860*lu1 + 1152303*lu1^2 + 1080060*lu1^3 + 525464*lu1^4)* g40[t]))/(66*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (15*Sqrt[15/14]*lu1*mar*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(2*(279042 - 2590581*lu1 - 2549723*lu1^2 + 5523326*lu1^3 + 7026736*lu1^4)*f40[t] + (95079 + 2375022*lu1 + 1168409*lu1^2 - 3718166*lu1^3 + 753896*lu1^4)*g40[t]))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (45*(-1 + 5*lu1)*mar*f40[t]* (f44[t] - I*f44n[t])*(2*(165861 - 488444*lu1 - 5824751*lu1^2 - 1953994*lu1^3 + 9142088*lu1^4)*f40[t] + 3*(41029 + 597512*lu1 + 489525*lu1^2 - 451178*lu1^3 + 985976*lu1^4)* g40[t]))/(3718*(3 + 10*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(2*(165231 - 1557248*lu1 - 546549*lu1^2 + 7629438*lu1^3 + 9082768*lu1^4)*f40[t] + (67509 + 1402076*lu1 - 764787*lu1^2 - 2839926*lu1^3 + 3142568*lu1^4)*g40[t]))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (675*Sqrt[5/14]*lu1*mar* (f42[t] - I*f42n[t])^2*(2*(-874134 + 4933323*lu1 + 8965007*lu1^2 + 26099888*lu1^3 + 27901516*lu1^4 + 40121440*lu1^5)*f40[t] + 3*(-178095 - 3090156*lu1 - 1680349*lu1^2 + 4723364*lu1^3 - 9074204*lu1^4 + 2572720*lu1^5)*g40[t]))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])^2* (2*(1063917 - 13401134*lu1 - 62025391*lu1^2 - 26149884*lu1^3 + 66670132*lu1^4 + 114103520*lu1^5)*f40[t] + (-332649 + 5124506*lu1 + 41361679*lu1^2 + 11898156*lu1^3 - 103700812*lu1^4 + 11204080*lu1^5)*g40[t]))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (Sqrt[5/14]*mar*(f22[t] - I*f22n[t])* ((97 + 2249*lu1 + 12790*lu1^2)*f40[t]*(g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])*((-1007 + 6741*lu1 + 6830*lu1^2)*f40[t] + (43 - 1869*lu1 - 2830*lu1^2)*g40[t])))/ (42*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) + (45*Sqrt[5/14]*mar*(f22[t] - I*f22n[t])* (2*(9 + 524*lu1 + 3333*lu1^2 + 10342*lu1^3)*f40[t]* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*f40[t] + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*g40[t])))/ (143*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (Sqrt[5/14]*mar*(f22[t] - I*f22n[t])* ((12763 + 67208*lu1 + 49551*lu1^2 - 112626*lu1^3)*f40[t]* (g22[t] - I*g22n[t]) + 20*(f22[t] - I*f22n[t])* ((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*f40[t] + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*g40[t])))/ (42*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) - (5*Sqrt[35/2]*mar*(f22[t] - I*f22n[t])* (-((1905 + 178808*lu1 + 310117*lu1^2 + 1768242*lu1^3)*f40[t]* (g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])* ((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*f40[t] - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*g40[t])))/ (9438*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (3*Sqrt[5/14]*mar*(f22[t] - I*f22n[t])* ((85407 + 1508158*lu1 + 849903*lu1^2 - 2751820*lu1^3)*f40[t]* (g22[t] - I*g22n[t]) + 12*(f22[t] - I*f22n[t])* ((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*f40[t] - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*g40[t])))/ (1694*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (15*Sqrt[5/14]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* ((5121 + 6341*lu1 - 78451*lu1^2 - 225149*lu1^3 + 1017898*lu1^4)* f40[t]*(g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* ((-1044 - 4157*lu1 - 177680*lu1^2 + 1124771*lu1^3 + 1165310*lu1^4)* f40[t] + (-111 + 2356*lu1 + 21997*lu1^2 - 148186*lu1^3 - 363736*lu1^4)*g40[t])))/(143*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (135*Sqrt[5/14]*lu1*mar* (f22[t] - I*f22n[t])*(3*(2281 + 17287*lu1 - 330219*lu1^2 - 471203*lu1^3 + 1354270*lu1^4)*f40[t]*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(5*(-2499 + 11362*lu1 - 103031*lu1^2 + 1000964*lu1^3 + 971732*lu1^4)*f40[t] - (5061 + 43622*lu1 - 572959*lu1^2 + 143752*lu1^3 + 2847340*lu1^4)* g40[t])))/(143*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^ 2*Pi) - (3*Sqrt[5/14]*mar*(f22[t] - I*f22n[t])* (5*(-1929 + 17167*lu1 + 291821*lu1^2 - 621183*lu1^3 + 2279080*lu1^4 + 12160100*lu1^5)*f40[t]*(g22[t] - I*g22n[t]) + 6*(f22[t] - I*f22n[t])*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*f40[t] + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*g40[t])))/ (1694*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[35/2]*mar*(f22[t] - I*f22n[t])* ((-5613 + 29155*lu1 + 1307769*lu1^2 + 1369725*lu1^3 - 59417168*lu1^4 - 276225180*lu1^5)*f40[t]*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*f40[t] - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*g40[t])))/(9438*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (5*Sqrt[5/14]*lu1*mar*(f22[t] - I*f22n[t])* (22*(-245379 - 12477490*lu1 + 100361582*lu1^2 + 4534622460*lu1^3 - 6318877039*lu1^4 - 326678601850*lu1^5 + 185985701100*lu1^6 + 2922473757000*lu1^7)*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(77633388 + 1404911759*lu1 - 23449281611*lu1^2 + 141627939907*lu1^3 + 3325749085303*lu1^4 - 57272556786518*lu1^5 + 156008719779940*lu1^6 + 490539364939400*lu1^7)*f40[t] + (72074451 + 2483358642*lu1 + 15282203840*lu1^2 - 204943458894*lu1^3 - 720552037127*lu1^4 + 19231862600972*lu1^5 - 83614306286460*lu1^6 - 231648729737600* lu1^7)*g40[t])))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (Sqrt[5/14]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (22*(66441 - 12460205*lu1 - 63703203*lu1^2 + 4944681605*lu1^3 - 1189641794*lu1^4 - 287818073940*lu1^5 + 2040182288600*lu1^6 + 5301467136000*lu1^7)*f40[t]*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(-106767681 + 2318378760*lu1 + 64077838900*lu1^2 - 729327061278*lu1^3 + 2620985873153*lu1^4 - 35439151369874*lu1^5 + 114770063743020*lu1^6 + 429299107416200*lu1^7)*f40[t] + (28685277 + 301038470*lu1 + 21471403520*lu1^2 + 643150288798*lu1^3 - 566812720713*lu1^4 - 14412494103604*lu1^5 - 100070907777380*lu1^6 - 125245255872800*lu1^7)*g40[t])))/ (66066*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[5/14]*lu1*mar*(f22[t] - I*f22n[t])* (-((117646719 + 6164577488*lu1 + 116937108114*lu1^2 + 317548913512*lu1^3 - 10563440455109*lu1^4 - 32814637927024* lu1^5 + 6159317204060*lu1^6 + 65385018739600*lu1^7)*f40[t]* (g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])* ((99543585 + 2283546118*lu1 + 41363691104*lu1^2 + 383594468102*lu1^ 3 - 4796715767869*lu1^4 - 18936751690492*lu1^5 - 21431606888020*lu1^6 + 13663664896000*lu1^7)*f40[t] + 120*(-53748 - 890481*lu1 + 9057627*lu1^2 + 206480041*lu1^3 - 748116007*lu1^4 - 5877372732*lu1^5 + 7940479060*lu1^6 + 30441795440*lu1^7)*g40[t])))/(22022*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (Sqrt[5/14]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])* (-((344668377 + 7329337486*lu1 + 20750417408*lu1^2 + 404485544294*lu1^3 - 8722277863253*lu1^4 - 35041762379780* lu1^5 - 14378915730900*lu1^6 + 52613191752800*lu1^7)*f40[t]* (g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])* ((205375659 + 2220479282*lu1 - 986596064*lu1^2 + 694384995378*lu1^ 3 - 6539577103871*lu1^4 - 16099400970900*lu1^5 - 20597635653020*lu1^6 + 11272898156800*lu1^7)*f40[t] + 60*(-6480 - 1839507*lu1 - 31012819*lu1^2 + 687540413*lu1^3 + 551841119*lu1^4 - 22250810098*lu1^5 + 235502612*lu1^6 + 82012816760*lu1^7)*g40[t])))/(66066*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*mar*((217 + 3329*lu1 + 11590*lu1^2)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* (30*(-1 - 9*lu1 + 10*lu1^2)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((-1007 + 6741*lu1 + 6830*lu1^2)*(f42[t] - I*f42n[t]) + (43 - 1869*lu1 - 2830*lu1^2)*(g42[t] - I*g42n[t])))))/ (14*Sqrt[42]*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) + (5*Sqrt[3/14]*mar*(-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f42[t] - I*f42n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(g42[t] - I*g42n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (5*Sqrt[3/14]*mar*(30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f42[t] - I*f42n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(g42[t] - I*g42n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (5*(-1 + 5*lu1)*mar* (3*(-2061693 + 7710582*lu1 + 273374416*lu1^2 + 364193698*lu1^3 - 972368191*lu1^4 - 1118951944*lu1^5 + 2274114780*lu1^6)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (2*(30987 + 1322592*lu1 - 5609074*lu1^2 - 38339532*lu1^3 - 2480461*lu1^4 + 426449316*lu1^5 + 686189180*lu1^6)* (f42[t] - I*f42n[t])*g20[t] + f20[t]*(3*(258831 + 4200504*lu1 - 41303254*lu1^2 - 1102421232*lu1^3 - 217157941*lu1^4 + 10916622624*lu1^5 + 9548310164*lu1^6)*(f42[t] - I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(6215 + 157411*lu1 + 660038*lu1^2)* (g42[t] - I*g42n[t])))))/(2002*Sqrt[42]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*(-1 + 5*lu1)*mar*(4*(30987 + 1322592*lu1 - 5609074*lu1^2 - 38339532*lu1^3 - 2480461*lu1^4 + 426449316*lu1^5 + 686189180*lu1^6)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (3*(-2061693 + 7710582*lu1 + 273374416*lu1^2 + 364193698*lu1^3 - 972368191*lu1^4 - 1118951944*lu1^5 + 2274114780*lu1^6)* (f42[t] - I*f42n[t])*g20[t] + 2*f20[t]* (3*(258831 + 4200504*lu1 - 41303254*lu1^2 - 1102421232*lu1^3 - 217157941*lu1^4 + 10916622624*lu1^5 + 9548310164*lu1^6)*( f42[t] - I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(6215 + 157411*lu1 + 660038*lu1^2)*(g42[t] - I*g42n[t])))))/ (2002*Sqrt[42]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) - (25*Sqrt[3/14]*lu1*mar*(3*(-1357917 + 2088248*lu1 + 237380954*lu1^2 + 49271392*lu1^3 - 2406017849*lu1^4 - 81086976*lu1^5 + 5693003940*lu1^6)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-6*(-28314 + 137811*lu1 + 204583*lu1^2 - 962751*lu1^3 + 1632667*lu1^4 + 34104168*lu1^5 + 56924380*lu1^6)* (f42[t] - I*f42n[t])*g20[t] + f20[t]*((4041432 - 41019615*lu1 + 204240949*lu1^2 - 3310731273*lu1^3 + 1899357931*lu1^4 + 32705262012*lu1^5 + 31156407604*lu1^6)*(f42[t] - I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(-20977 - 272039*lu1 + 1349336*lu1^2)*(g42[t] - I*g42n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (25*Sqrt[3/14]*lu1*mar*(-12*(-28314 + 137811*lu1 + 204583*lu1^2 - 962751*lu1^3 + 1632667*lu1^4 + 34104168*lu1^5 + 56924380*lu1^6)* f20[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(3*(-1357917 + 2088248*lu1 + 237380954*lu1^2 + 49271392*lu1^3 - 2406017849*lu1^4 - 81086976*lu1^5 + 5693003940*lu1^6)*(f42[t] - I*f42n[t])*g20[t] + 2*f20[t]*((4041432 - 41019615*lu1 + 204240949*lu1^2 - 3310731273*lu1^3 + 1899357931*lu1^4 + 32705262012*lu1^5 + 31156407604*lu1^6)*(f42[t] - I*f42n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(-20977 - 272039*lu1 + 1349336*lu1^2)*(g42[t] - I*g42n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (675*Sqrt[3/14]*mar*(2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*(f42[t] - I*f42n[t])* g20[t] + f20[t]*(2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*( f42[t] - I*f42n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(g42[t] - I*g42n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (675*Sqrt[3/14]*mar*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*(f42[t] - I*f42n[t])* g20[t] + f20[t]*(2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*( f42[t] - I*f42n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(g42[t] - I*g42n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*mar*((-231 + 464*lu1 + 5253*lu1^2 + 6802*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) - 4*(f22[t] - I*f22n[t])* ((3133 + 16918*lu1 + 13701*lu1^2 - 26456*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + 5*f20[t]*((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*(f42[t] - I*f42n[t]) + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*(g42[t] - I*g42n[t])))))/ (14*Sqrt[42]*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) - (5*Sqrt[7/6]*mar*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)* f20[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(-14*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*( f42[t] - I*f42n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g42[t] - I*g42n[t])))))/ (1573*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (25*Sqrt[21/2]*mar*(-28*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)* f20[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)*(f42[t] - I*f42n[t])*g20[t] + 2*f20[t]*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*( f42[t] - I*f42n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g42[t] - I*g42n[t])))))/ (3146*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (mar*(2*(-41601 - 757679*lu1 - 641199*lu1^2 + 675935*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 3*(f22[t] - I*f22n[t])* (15*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)* (f42[t] - I*f42n[t])*g20[t] - 4*f20[t]*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f42[t] - I*f42n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g42[t] - I*g42n[t])))))/(121*Sqrt[42]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (Sqrt[2/21]*mar*(-45*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + 6*f20[t]*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f42[t] - I*f42n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g42[t] - I*g42n[t])))))/(847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (mar*(-220*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 3*(f22[t] - I*f22n[t])* (75*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(f42[t] - I*f42n[t])* g20[t] + 2*f20[t]*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f42[t] - I*f42n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g42[t] - I*g42n[t])))))/(121*Sqrt[42]*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (Sqrt[2/21]*mar*(225*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-110*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + 3*f20[t]*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f42[t] - I*f42n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g42[t] - I*g42n[t])))))/ (847*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[7/6]*mar*(-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])* (-924*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f42[t] - I*f42n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g42[t] - I*g42n[t])))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (25*Sqrt[21/2]*mar*(-1848*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f42[t] - I*f42n[t])*g20[t]) + 2*f20[t]*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f42[t] - I*f42n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g42[t] - I*g42n[t])))))/ (3146*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + ((-1 + 5*lu1)*mar*(4*(4087602 + 68474325*lu1 + 1781108111*lu1^2 + 32797352693*lu1^3 + 16105207435*lu1^4 - 16765136150*lu1^5)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-11*(626061 + 10591537*lu1 - 203838929*lu1^2 - 2623755193*lu1^3 - 1075343200*lu1^4 + 4473888300*lu1^5)*(f42[t] - I*f42n[t])* g20[t] + 2*f20[t]*((-11128119 + 255092719*lu1 - 5721218781* lu1^2 - 137694550715*lu1^3 + 278067324900*lu1^4 + 160568117500*lu1^5)*(f42[t] - I*f42n[t]) - 180*(-2217 + 70831*lu1 - 1305651*lu1^2 - 7208655*lu1^3 + 61473144*lu1^4 + 140131460*lu1^5)*(g42[t] - I*g42n[t])))))/ (3146*Sqrt[42]*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3/14]*lu1*mar* (4*(4623297 + 108049970*lu1 + 1801804166*lu1^2 + 18385049388*lu1^3 + 13966593545*lu1^4 + 17059495250*lu1^5)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-55*(184053 + 2877457*lu1 - 64618857*lu1^2 - 706192393*lu1^3 + 899033600*lu1^4 + 4621448300*lu1^5)*(f42[t] - I*f42n[t])* g20[t] + 2*f20[t]*((-13843563 + 115682971*lu1 - 5046714465* lu1^2 - 86616895943*lu1^3 + 132321954300*lu1^4 + 62141218300*lu1^5)*(f42[t] - I*f42n[t]) - 60*(-16110 + 143211*lu1 + 113800*lu1^2 - 15128237*lu1^3 + 54363404*lu1^4 + 167343260*lu1^5)*(g42[t] - I*g42n[t])))))/ (3146*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3/14]*lu1*mar* (-385*(-441711 - 5325678*lu1 + 187065554*lu1^2 + 1255222416*lu1^3 - 10752584375*lu1^4 - 31661516386*lu1^5 + 68793216300*lu1^6 + 164398666600*lu1^7)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* ((24743877 + 42041828*lu1 - 14057320476*lu1^2 + 204267231902*lu1^ 3 + 4579954622371*lu1^4 + 19121309258022*lu1^5 + 13035403226660*lu1^6 - 27534459026200*lu1^7)* (f42[t] - I*f42n[t])*g20[t] + f20[t]* ((-1012299 - 894114368*lu1 + 1859707156*lu1^2 + 53771001558* lu1^3 - 1980989400701*lu1^4 - 31440919572126*lu1^5 - 76332796631420*lu1^6 + 16758630169400*lu1^7)*(f42[t] - I*f42n[t]) + 15*(-453150 - 4242255*lu1 + 153527859*lu1^2 + 1817197377*lu1^3 - 4719934469*lu1^4 - 92260063742*lu1^5 + 67589944244*lu1^6 + 442511902280*lu1^7)*(g42[t] - I*g42n[t])))))/(22022*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - ((-1 + 5*lu1)*mar*(77*(2015343 + 23004828*lu1 - 852766456*lu1^2 - 4992571818*lu1^3 + 45812668781*lu1^4 + 72366076614*lu1^5 - 30665047300*lu1^6 + 67085226600*lu1^7)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) - 4*(f22[t] - I*f22n[t])* ((-37131918 - 1085863547*lu1 + 6957092359*lu1^2 + 501124310557*lu1^ 3 + 4097031091911*lu1^4 + 19913873332002*lu1^5 + 20916441182420*lu1^6 - 34295621859800*lu1^7)* (f42[t] - I*f42n[t])*g20[t] + f20[t]* ((58184043 + 820612814*lu1 - 14033195058*lu1^2 - 511527960584* lu1^3 - 1754507380437*lu1^4 - 19948725917510*lu1^5 - 95648476889820*lu1^6 + 11264044311800*lu1^7)*(f42[t] - I*f42n[t]) + 15*(39717 - 2292396*lu1 - 103874548*lu1^2 + 2140846946*lu1^3 + 18630034883*lu1^4 - 170630061382*lu1^5 - 112433531260*lu1^6 + 569267722520*lu1^7)*(g42[t] - I*g42n[t])))))/(22022*Sqrt[42]*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*Sqrt[3/14]*lu1*mar*(1760*(2682 - 86391*lu1 - 665959*lu1^2 + 22204467*lu1^3 + 80126029*lu1^4 - 1062669952*lu1^5 - 805309500*lu1^6 + 2910359200*lu1^7)*f20[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (55*(-1 + 7*lu1 + 170*lu1^2)^2*(-230757 - 5653412*lu1 - 5529141*lu1^2 + 17486910*lu1^3)*(f42[t] - I*f42n[t])*g20[t] + 2*f20[t]*((15929697 + 657931342*lu1 - 14590593922*lu1^2 + 57238011476*lu1^3 + 1607948300237*lu1^4 - 17621017163314* lu1^5 + 60780942911420*lu1^6 + 173837309468200*lu1^7)*( f42[t] - I*f42n[t]) - 3*(-3083271 - 76456786*lu1 - 642699196*lu1^2 + 9196457802*lu1^3 + 3176886583*lu1^4 - 1247374236616*lu1^5 + 5078623709580*lu1^6 + 15008948334800* lu1^7)*(g42[t] - I*g42n[t])))))/ (3146*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - ((-1 + 5*lu1)*mar*(77*(-1 + 7*lu1 + 170*lu1^2)^2* (-55911 + 1560086*lu1 + 70224811*lu1^2 + 78921990*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* (110*(23157 - 40254*lu1 - 8937482*lu1^2 - 15225120*lu1^3 + 1548958121*lu1^4 - 897237386*lu1^5 - 114398289780*lu1^6 + 25025961800*lu1^7)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((-3461907 - 573897770*lu1 - 5631347790*lu1^2 + 278322669524*lu1^3 - 1928285791499*lu1^4 - 6534862180098* lu1^5 + 42567065595740*lu1^6 + 165633079991400*lu1^7)*( f42[t] - I*f42n[t]) - (6763518 + 261350795*lu1 + 2540796475*lu1^2 - 1823699243*lu1^3 - 701735916977*lu1^4 + 2359406643964*lu1^5 + 40892258831980*lu1^6 + 27577628346800* lu1^7)*(g42[t] - I*g42n[t])))))/(22022*Sqrt[42]* (-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)* Pi) - ((-1 + 5*lu1)*mar*(880*(3384 - 204795*lu1 + 106787*lu1^2 + 61802493*lu1^3 - 156581507*lu1^4 - 4346078782*lu1^5 + 13230579900*lu1^6 + 41620940200*lu1^7)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (11*(-1 + 7*lu1 + 170*lu1^2)^2*(-723669 - 16294556*lu1 + 15648419*lu1^2 + 43333710*lu1^3)*(f42[t] - I*f42n[t])*g20[t] + 2*f20[t]*((-59796453 + 717650060*lu1 + 22329273760*lu1^2 - 155091225914*lu1^3 + 144495443929*lu1^4 - 9275866628282* lu1^5 + 44880267852460*lu1^6 + 167265058658600*lu1^7)*( f42[t] - I*f42n[t]) - (4768497 + 288936690*lu1 - 4571276960*lu1^2 - 161826699042*lu1^3 - 214718538973*lu1^4 + 4234519039216*lu1^5 + 22472838152220*lu1^6 + 28714916577200* lu1^7)*(g42[t] - I*g42n[t])))))/(3146*Sqrt[42]* (-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)* Pi) + (5*Sqrt[3/14]*lu1*mar*(385*(-1 + 7*lu1 + 170*lu1^2)^2* (142395 + 3833624*lu1 + 12324903*lu1^2 + 9329670*lu1^3)*f20[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* (-110*(-41634 - 6579*lu1 + 20660383*lu1^2 + 22628829*lu1^3 - 3138184093*lu1^4 - 4215590822*lu1^5 + 145959619380*lu1^6 + 172960193000*lu1^7)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((-33102237 - 717628232*lu1 + 10109867012*lu1^2 + 344499907634*lu1^3 - 3185286026707*lu1^4 - 31784028274786* lu1^5 + 107284455602780*lu1^6 + 292503100913800*lu1^7)*( f42[t] - I*f42n[t]) - (8191173 + 313079313*lu1 + 2058406613*lu1^2 - 15084181311*lu1^3 - 597307720334*lu1^4 + 359177667338*lu1^5 + 40527931500960*lu1^6 + 56812251508600* lu1^7)*(g42[t] - I*g42n[t])))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (405*Sqrt[2/7]*mar*(f42[t] - I*f42n[t])* (2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + f20[t]* (6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)* (f42[t] - I*f42n[t]) + (237 + 9992*lu1 - 50751*lu1^2 - 139574*lu1^3)*(g42[t] - I*g42n[t]))))/ (11011*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*mar*(f42[t] - I*f42n[t])*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + f20[t]* (-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)* (f42[t] - I*f42n[t]) + (399 + 3200*lu1 + 9219*lu1^2 + 22510*lu1^3)*(g42[t] - I*g42n[t]))))/(77*Sqrt[14]* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (135*Sqrt[2/7]*mar*(f42[t] - I*f42n[t])* (220*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)* (f42[t] - I*f42n[t]) + 9*(169 + 2870*lu1 + 17041*lu1^2 + 103440*lu1^3)*(g42[t] - I*g42n[t]))))/ (11011*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (20*Sqrt[14]*mar*(f42[t] - I*f42n[t])* (231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] - I*f42n[t])* g20[t] + f20[t]*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] - I*f42n[t]) + (429 + 13088*lu1 + 189065*lu1^2 + 9168810*lu1^3)* (g42[t] - I*g42n[t]))))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (10*Sqrt[14]*mar*(f42[t] - I*f42n[t])* (84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] - I*f42n[t]) + (765 - 14643*lu1 + 476207*lu1^2 + 13758099*lu1^3 - 72731864*lu1^4 - 196427700*lu1^5)*(g42[t] - I*g42n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (45*mar*(f42[t] - I*f42n[t])*(27*(21 + 67*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*(f42[t] - I*f42n[t])*g20[t] + 2*f20[t]*(8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] - I*f42n[t]) + (27129 + 696995*lu1 + 83293*lu1^2 - 24617655*lu1^3 - 62448466*lu1^4 - 36043760*lu1^5)*(g42[t] - I*g42n[t]))))/ (1573*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (5*mar*(f42[t] - I*f42n[t])* (6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f42[t] - I*f42n[t]) - 2*(549 + 26895*lu1 - 302045*lu1^2 - 125155*lu1^3 + 4225640*lu1^4 + 6122788*lu1^5)*(g42[t] - I*g42n[t]))))/ (77*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)* Pi) - (45*Sqrt[14]*mar*(f42[t] - I*f42n[t])* (-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] - I*f42n[t])*g20[t] + f20[t]*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] - I*f42n[t]) - 7*(-573 - 32827*lu1 - 40051*lu1^2 + 319639*lu1^3 + 6851944*lu1^4 + 12611820*lu1^5)*(g42[t] - I*g42n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (225*lu1*mar*(f42[t] - I*f42n[t])*(11*(-1 + 7*lu1 + 170*lu1^2)^2* (-699 + 484*lu1 + 440469*lu1^2 + 1134210*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + 2*f20[t]* ((1669731 + 24636566*lu1 + 337636918*lu1^2 - 4181254976*lu1^3 + 6027445387*lu1^4 - 82405629302*lu1^5 + 228554789380*lu1^6 + 712450839800*lu1^7)*(f42[t] - I*f42n[t]) + 3*(177231 + 10390964*lu1 + 110571592*lu1^2 + 280426438*lu1^3 - 4857098339*lu1^4 - 20731001186*lu1^5 - 35752504820*lu1^6 - 29028659800*lu1^7)*(g42[t] - I*g42n[t]))))/ (1573*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar* (f42[t] - I*f42n[t])*(33*(-1 + 7*lu1 + 170*lu1^2)^2* (2619 + 63006*lu1 + 50381*lu1^2 + 143290*lu1^3)* (f42[t] - I*f42n[t])*g20[t] + 2*f20[t]* ((845055 + 43055490*lu1 + 676617346*lu1^2 - 14304438348*lu1^3 + 62130082211*lu1^4 - 129104649398*lu1^5 - 8990247900*lu1^6 + 617549958200*lu1^7)*(f42[t] - I*f42n[t]) + 5*(160596 + 5978361*lu1 + 42223199*lu1^2 + 422169849*lu1^3 - 3363744635*lu1^4 - 15985516798*lu1^5 - 11577224820*lu1^6 + 8112026440*lu1^7)*(g42[t] - I*g42n[t]))))/ (1573*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^3*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (225*lu1*mar*(f42[t] - I*f42n[t])* (2*(4054797 - 67756677*lu1 - 3159933796*lu1^2 + 73859810290*lu1^3 + 1053100422325*lu1^4 + 3525194438159*lu1^5 + 1361531919226*lu1^6 - 1229956125212*lu1^7 + 8132075630280*lu1^8)*(f42[t] - I*f42n[t])* g20[t] + f20[t]*((-10082988 - 177973437*lu1 + 8602474518*lu1^2 - 52906663970*lu1^3 - 796451193460*lu1^4 - 20141634304701*lu1^5 - 15100731363254*lu1^6 + 101979082357796*lu1^7 + 88145927855160*lu1^8)*(f42[t] - I*f42n[t]) + (-9469980 + 82402641*lu1 + 7316417994*lu1^2 - 14088341910*lu1^3 - 669582588100*lu1^4 + 2668944924145*lu1^5 + 6808894176822*lu1^ 6 - 25863327236692*lu1^7 - 47803456217720*lu1^8)* (g42[t] - I*g42n[t]))))/(11011*Sqrt[14]*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2* Pi) - (15*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (2*(9853122 - 208038935*lu1 - 7054829398*lu1^2 + 106266174730*lu1^3 + 2312872955130*lu1^4 + 6125341835209*lu1^5 - 178830700390*lu1^6 - 2927714992916*lu1^7 + 3680543505240*lu1^8)* (f42[t] - I*f42n[t])*g20[t] + f20[t]* ((-9956724 + 67732453*lu1 - 5751024166*lu1^2 + 238501081090*lu1^ 3 - 3260805099740*lu1^4 - 37274219475243*lu1^5 + 4340943818166*lu1^6 + 120615611832508*lu1^7 + 69845797003080* lu1^8)*(f42[t] - I*f42n[t]) + (-7091874 + 29773719*lu1 + 6244898082*lu1^2 - 15072419010*lu1^3 - 361705601290*lu1^4 + 1588499799727*lu1^5 + 1363134856218*lu1^6 - 15800832165676*lu1^ 7 - 19435280067560*lu1^8)*(g42[t] - I*g42n[t]))))/ (11011*Sqrt[14]*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (15*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (44*(11061 + 907359*lu1 - 23683004*lu1^2 - 92013022*lu1^3 + 4258952469*lu1^4 - 6237988101*lu1^5 - 264724935766*lu1^6 + 154027249380*lu1^7 + 1634445079400*lu1^8)*(f42[t] - I*f42n[t])* g20[t] + f20[t]*((-798426 + 39846877*lu1 + 3510642878*lu1^2 - 241253029158*lu1^3 + 883778676910*lu1^4 + 16337471407125*lu1^ 5 - 52162878855234*lu1^6 + 5219610714780*lu1^7 + 280901317501000*lu1^8)*(f42[t] - I*f42n[t]) - (-3092697 + 21442438*lu1 + 4199601338*lu1^2 + 8135893208*lu1^3 + 9800164991*lu1^4 + 1054773005330*lu1^5 + 2715735152696*lu1^6 + 39400679582440*lu1^7 + 50682587600400*lu1^8)* (g42[t] - I*g42n[t]))))/(11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^ 3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (225*lu1*mar*(f42[t] - I*f42n[t])* (44*(28782 - 78447*lu1 - 10750058*lu1^2 - 15400654*lu1^3 + 1717593798*lu1^4 + 725004153*lu1^5 - 116340453562*lu1^6 - 50539249140*lu1^7 + 225041637800*lu1^8)*(f42[t] - I*f42n[t])* g20[t] + f20[t]*((3009930 - 28511309*lu1 - 5278765774*lu1^2 + 28001361366*lu1^3 - 107513934158*lu1^4 + 2611077558123*lu1^5 - 19363573673598*lu1^6 + 130783122602340*lu1^7 + 377105143958200*lu1^8)*(f42[t] - I*f42n[t]) - (-2041743 + 23250862*lu1 + 2665729270*lu1^2 + 28861604816*lu1^3 - 257031558999*lu1^4 - 1062322130654*lu1^5 + 8833992818552*lu1^ 6 + 55357354897640*lu1^7 + 79519836841200*lu1^8)* (g42[t] - I*g42n[t]))))/(11011*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)^ 3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (Sqrt[5/42]*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*f40[t] - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*g40[t]) - 4*(23 + 1751*lu1)* (-3 + 13*lu1 + 38*lu1^2)^2*f40[t]*(g42[t] - I*g42n[t]))))/ (77*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) - (405*Sqrt[15/14]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*g40[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*f40[t]*(g42[t] - I*g42n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (1215*Sqrt[15/14]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)*f40[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f42[t] - I*f42n[t])* (3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*g40[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*f40[t]* (g42[t] - I*g42n[t]))))/(22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (Sqrt[5/42]*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*f40[t] + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*g40[t]) + 5*(51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*f40[t]*(g42[t] - I*g42n[t]))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (15*Sqrt[15/14]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*f40[t] + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)*g40[t]) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)* f40[t]*(g42[t] - I*g42n[t]))))/(77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (27*Sqrt[15/14]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* f40[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*g40[t]) - 20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*f40[t]* (g42[t] - I*g42n[t]))))/(1573*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (15*Sqrt[15/14]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*f40[t] - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)* g40[t]) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)* f40[t]*(g42[t] - I*g42n[t]))))/(77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (10*Sqrt[210]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*f40[t] + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*g40[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*f40[t]*(g42[t] - I*g42n[t]))))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (10*Sqrt[70/3]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*f40[t] + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*g40[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*f40[t]*(g42[t] - I*g42n[t]))))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (9*Sqrt[15/14]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*g40[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*f40[t]*(g42[t] - I*g42n[t]))))/ (1573*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar*(-5*(-116918601 + 716561449*lu1 + 95036079206*lu1^2 + 294575550630*lu1^3 - 4658875181325*lu1^4 - 23136183575907*lu1^5 - 14075246838112*lu1^6 + 23915242536612* lu1^7 + 2648959897920*lu1^8)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-297965886 + 2374427053*lu1 + 190634665124*lu1^2 + 1087360054570*lu1^3 - 1434657534890* lu1^4 - 144436666965747*lu1^5 - 34335087477204*lu1^6 + 724542664914868*lu1^7 + 560849877678720*lu1^8)*f40[t] + 4*(970083 - 41864796*lu1 - 628415250*lu1^2 + 2909863660*lu1^3 + 109695566915*lu1^4 - 302000270584*lu1^5 - 2037245830812* lu1^6 + 401330037840*lu1^7 + 4908239341600*lu1^8)*g40[t]) - 77*(-3 + 13*lu1 + 38*lu1^2)^2*(29019 - 100079*lu1 - 25734673*lu1^2 - 123027773*lu1^3 + 1267272930*lu1^4)*f40[t]* (g42[t] - I*g42n[t]))))/(22022*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (15*Sqrt[15/14]*lu1*mar*((322125453 + 921793179*lu1 - 303705621750*lu1^2 - 2523453416750*lu1^3 + 21574651557585*lu1^4 + 85596680241591*lu1^5 + 11572839733768*lu1^6 - 42416907637620* lu1^7 + 155696530668000*lu1^8)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((-129130938 - 2496686169*lu1 + 139176124648*lu1^2 + 2227210873070*lu1^3 - 9134754975030* lu1^4 - 115235449482041*lu1^5 + 35628506067632*lu1^6 + 809925882464076*lu1^7 + 738125646053040*lu1^8)*f40[t] + 20*(58158 - 3934125*lu1 - 141937842*lu1^2 + 1610354150*lu1^3 + 6747698110*lu1^4 - 50940934229*lu1^5 - 114800196570*lu1^6 + 107252008116*lu1^7 + 218311057160*lu1^8)*g40[t]) - 77*(-3 + 13*lu1 + 38*lu1^2)^2*(66282 - 281389*lu1 - 58690334*lu1^2 - 236286661*lu1^3 + 3218294310*lu1^4)*f40[t]* (g42[t] - I*g42n[t]))))/(22022*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[210]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*f40[t] - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*g40[t]) + 168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*f40[t]*(g42[t] - I*g42n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (3*Sqrt[15/14]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*g40[t]) - 12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*f40[t]*(g42[t] - I*g42n[t]))))/ (2002*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (3*Sqrt[15/14]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (4*(f42[t] - I*f42n[t])*(2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*g40[t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*f40[t]* (g42[t] - I*g42n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[70/3]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (4*(f42[t] - I*f42n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*f40[t] + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*g40[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*f40[t]* (g42[t] - I*g42n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (15*Sqrt[15/14]*lu1*mar*(352*(-1959 + 6958*lu1 + 1069201*lu1^2 - 104337*lu1^3 - 153312800*lu1^4 - 528308525*lu1^5 + 1906647750*lu1^6)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (6*(f42[t] - I*f42n[t])*(2*(142285 - 3469173*lu1 + 50763425* lu1^2 + 655096401*lu1^3 - 39323986242*lu1^4 - 74508455800* lu1^5 + 1352579001200*lu1^6)*f40[t] + 11*(-35574 + 62905*lu1 + 40609381*lu1^2 + 199732755*lu1^3 - 9033061655* lu1^4 - 64145339000*lu1^5 + 97356220500*lu1^6)*g40[t]) + (2417283 + 26242948*lu1 - 2461522940*lu1^2 - 24752928474*lu1^3 + 431699531233*lu1^4 + 3109291465750*lu1^5 - 9768233365800*lu1^6)* f40[t]*(g42[t] - I*g42n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 + 29*lu1 + 2310*lu1^2)*Pi) + (15*Sqrt[15/14]*lu1*mar* ((-3850917 - 49177310*lu1 + 2973923518*lu1^2 + 32084114628*lu1^3 - 68844824489*lu1^4 - 149313898430*lu1^5 + 800853450600*lu1^6)* f40[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])* ((4218123 + 57395299*lu1 - 3331355113*lu1^2 - 26518332489* lu1^3 - 72416423522*lu1^4 + 1346521985810*lu1^5 + 976414305300*lu1^6)*f40[t] - 11*(-197190 + 958257*lu1 + 178233157*lu1^2 + 556120339*lu1^3 - 13288261879*lu1^4 + 6376792400*lu1^5 + 67547148900*lu1^6)*g40[t]) + 2*(159966 + 23859*lu1 - 49567985*lu1^2 + 15505849*lu1^3 + 3830184299*lu1^4 - 8877051760*lu1^5 - 32167180500*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^2* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar*(210*(-1 + 7*lu1 + 170*lu1^2)^2* (750 + 2711*lu1 + 4267*lu1^2)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*((606054 + 2071270*lu1 - 306432366*lu1^2 - 7002204598*lu1^3 + 71183852800*lu1^4 - 99644465928*lu1^5 + 70075762400*lu1^6)*f40[t] + 3*(34099 + 2084700*lu1 - 44100574*lu1^2 - 1032158984*lu1^3 - 9754611033*lu1^4 - 2682442684*lu1^5 + 10116364140*lu1^6)*g40[t]) - 4*(-4281 - 34270*lu1 + 2808684*lu1^2 + 4028602*lu1^3 - 340264255*lu1^4 - 550777908*lu1^5 + 5314408420*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar* ((-5607729 + 7695774*lu1 + 2835898970*lu1^2 + 31207898864*lu1^3 + 147313695079*lu1^4 - 43177935350*lu1^5 + 192446851800*lu1^6)* f40[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(3*(f42[t] - I*f42n[t])* ((2150061 - 20848271*lu1 - 569376995*lu1^2 - 8813630731*lu1^3 - 57053938186*lu1^4 + 361025685630*lu1^5 + 224899825500*lu1^6)* f40[t] - 55*(-9846 + 55269*lu1 + 8593289*lu1^2 + 25101743*lu1^3 - 487999403*lu1^4 - 308857232*lu1^5 + 1400003220*lu1^6)*g40[t]) - 10*(-12483 - 884970*lu1 + 15816928*lu1^2 + 76766998*lu1^3 - 1330282009*lu1^4 + 1509366548*lu1^5 + 8673406140*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^2* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (15*Sqrt[15/14]*lu1*mar*(28*(-1 + 7*lu1 + 170*lu1^2)^2* (382 + 24453*lu1 + 63453*lu1^2)*f40[t]*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(2*(-976913 + 22517015*lu1 - 61993435* lu1^2 - 4315590703*lu1^3 + 19093708568*lu1^4 + 37860148412* lu1^5 + 89141047600*lu1^6)*f40[t] + (-497493 - 1228114*lu1 + 91868844*lu1^2 - 1655168378*lu1^3 - 30415813963*lu1^4 - 29524205844*lu1^5 + 25426051540*lu1^6)*g40[t]) - 4*(-23946 + 366167*lu1 + 6657939*lu1^2 - 74818139*lu1^3 - 639441265*lu1^4 + 2640239664*lu1^5 + 9511694140*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar* (210*(-1 + 7*lu1 + 170*lu1^2)^2*(750 + 2711*lu1 + 4267*lu1^2)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(f42[t] - I*f42n[t])*((303027 + 1035635*lu1 - 153216183*lu1^2 - 3501102299*lu1^3 + 35591926400*lu1^4 - 49822232964*lu1^5 + 35037881200*lu1^6)*f40[t] + 2*(4281 + 34270*lu1 - 2808684*lu1^2 - 4028602*lu1^3 + 340264255*lu1^4 + 550777908*lu1^5 - 5314408420*lu1^6)*g40[t]) + 3*(34099 + 2084700*lu1 - 44100574*lu1^2 - 1032158984*lu1^3 - 9754611033*lu1^4 - 2682442684*lu1^5 + 10116364140*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) - (15*Sqrt[15/14]*lu1*mar* (28*(-1 + 7*lu1 + 170*lu1^2)^2*(382 + 24453*lu1 + 63453*lu1^2)* f40[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f42[t] - I*f42n[t])* ((-976913 + 22517015*lu1 - 61993435*lu1^2 - 4315590703*lu1^3 + 19093708568*lu1^4 + 37860148412*lu1^5 + 89141047600*lu1^6)* f40[t] - 2*(-23946 + 366167*lu1 + 6657939*lu1^2 - 74818139*lu1^3 - 639441265*lu1^4 + 2640239664*lu1^5 + 9511694140*lu1^6)*g40[t]) + (-497493 - 1228114*lu1 + 91868844*lu1^2 - 1655168378*lu1^3 - 30415813963*lu1^4 - 29524205844*lu1^5 + 25426051540*lu1^6)*f40[t]* (g42[t] - I*g42n[t]))))/(2002*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^3*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar* (440*(-822 - 34981*lu1 + 1192223*lu1^2 + 9754029*lu1^3 - 222734305*lu1^4 - 1149889540*lu1^5 + 5930234100*lu1^6)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(f42[t] - I*f42n[t])*((282555 + 29585885*lu1 - 1060768069* lu1^2 + 11863498755*lu1^3 - 63764882314*lu1^4 - 3156773778580*lu1^5 + 9312064864200*lu1^6)*f40[t] + 55*(-15432 + 196717*lu1 + 14654725*lu1^2 - 58857513*lu1^3 - 2606676653*lu1^4 - 6617274800*lu1^5 + 24193854300*lu1^6)*g40[ t]) - (-1625091 - 1882576*lu1 + 710640728*lu1^2 + 10263953694*lu1^3 + 42037996019*lu1^4 + 213646220930*lu1^5 + 4866067789800*lu1^6)*f40[t]*(g42[t] - I*g42n[t]))))/ (1573*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 + 29*lu1 + 2310*lu1^2)*Pi) - (15*Sqrt[15/14]*lu1*mar*(44*(442998 - 5662779*lu1 - 316441994*lu1^2 + 2371679962*lu1^3 + 51660063358*lu1^4 - 68145205459*lu1^5 - 1528939763450*lu1^6 - 2028333659300*lu1^7 + 547200913000*lu1^8)* f40[t]*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f42[t] - I*f42n[t])* (2*(-101776521 + 2169884569*lu1 + 48537603476*lu1^2 - 705336908298*lu1^3 + 8166639571663*lu1^4 - 20300422111467* lu1^5 - 260894372603634*lu1^6 + 724121995357500*lu1^7 + 2187624779481400*lu1^8)*f40[t] + (-133993299 - 658127543* lu1 + 148303165442*lu1^2 + 1183073994014*lu1^3 - 26189014280839*lu1^4 - 92445970025323*lu1^5 + 1141023548565560*lu1^6 + 308584626096100*lu1^7 - 4254692860488000*lu1^8)*g40[t]) + 462*(148266 - 775881*lu1 - 173624158*lu1^2 - 180942018*lu1^3 + 45571098754*lu1^4 + 118903551503*lu1^5 - 2228801351742*lu1^6 - 1234345570700*lu1^ 7 + 6673789630200*lu1^8)*f40[t]*(g42[t] - I*g42n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (Sqrt[15/14]*(-1 + 5*lu1)*mar* (44*(308331 + 3631197*lu1 - 418922228*lu1^2 - 1191450266*lu1^3 + 99741629131*lu1^4 + 256585885937*lu1^5 - 4809243456410*lu1^6 - 3111679949300*lu1^7 + 14233212175000*lu1^8)*f40[t]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f42[t] - I*f42n[t])*(2*(-85338126 - 380796857*lu1 + 107760370810*lu1^2 + 97554681174*lu1^3 - 14194920690766* lu1^4 + 96196610660711*lu1^5 - 224388673229742*lu1^6 - 52545124131500*lu1^7 + 1738544993126200*lu1^8)*f40[t] + (-143472303 + 240556429*lu1 + 120621740634*lu1^2 + 883937453318*lu1^3 - 7268358207203*lu1^4 - 65989960428711* lu1^5 + 325988771068760*lu1^6 - 190479248292300*lu1^7 - 2024841160104000*lu1^8)*g40[t]) + 154*(166815 - 3388941*lu1 - 143139736*lu1^2 + 1854592842*lu1^3 + 24046642711*lu1^4 - 153628010977*lu1^5 - 926558843958*lu1^6 + 3196367490100*lu1^7 + 8553231409800*lu1^8)*f40[t]*(g42[t] - I*g42n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^3*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (5*Sqrt[2/21]*mar*f20[t]* (f22[t] - I*f22n[t])*((-50 + 4*lu1)*(f42[t] - I*f42n[t]) + 7*(1 + lu1)*(g42[t] - I*g42n[t])))/((3 + 32*lu1 + 20*lu1^2)*Pi) + (45*Sqrt[2/7]*mar*f20[t]*(f42[t] - I*f42n[t])* ((-50 + 4*lu1)*(f42[t] - I*f42n[t]) + 7*(1 + lu1)* (g42[t] - I*g42n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) - (15*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* ((-50 + 4*lu1)*(f42[t] - I*f42n[t]) + 7*(1 + lu1)* (g42[t] - I*g42n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) - (Sqrt[14/3]*mar*f20[t]*(f22[t] - I*f22n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (2*Sqrt[42]*mar*f20[t]*(f22[t] - I*f22n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (18*Sqrt[210]*mar*(f22[t] - I*f22n[t])*f40[t]* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (45*Sqrt[14]*mar*f20[t]*(f42[t] - I*f42n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (30*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] - I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (100*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((46 - 394*lu1 + 532*lu1^2)*(f42[t] - I*f42n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g42[t] - I*g42n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (315*Sqrt[70]*mar*f40[t]*(f42[t] - I*f42n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f42[t] - I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g42[t] - I*g42n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (14525*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f42[t] - I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g42[t] - I*g42n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (5*Sqrt[15/14]*mar*(f22[t] - I*f22n[t])*f40[t]* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] - I*g42n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (135*Sqrt[5/14]*mar*f40[t]*(f42[t] - I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] - I*g42n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (117*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] - I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] - I*g42n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (Sqrt[210]*mar*(f22[t] - I*f22n[t])*f40[t]* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] - I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (135*Sqrt[70]*mar*f40[t]*(f42[t] - I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] - I*g42n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (180*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] - I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] - I*g42n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (5*Sqrt[42]*lu1*mar*f20[t]*(f22[t] - I*f22n[t])* (2*(2199 - 2365*lu1 - 78146*lu1^2 + 42248*lu1^3)* (f42[t] - I*f42n[t]) + (2067 + 25594*lu1 + 7613*lu1^2 - 13322*lu1^3)*(g42[t] - I*g42n[t])))/(11*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (45*Sqrt[210]*lu1*mar* (f22[t] - I*f22n[t])*f40[t]*(2*(2199 - 2365*lu1 - 78146*lu1^2 + 42248*lu1^3)*(f42[t] - I*f42n[t]) + (2067 + 25594*lu1 + 7613*lu1^2 - 13322*lu1^3)* (g42[t] - I*g42n[t])))/(143*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) + (1575*lu1*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (2*(1238 + 281*lu1 - 57809*lu1^2 + 51202*lu1^3)* (f42[t] - I*f42n[t]) + 9*(141 + 1610*lu1 + 315*lu1^2 - 722*lu1^3)* (g42[t] - I*g42n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) - (315*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*((514 + 208*lu1 - 38998*lu1^2 + 30644*lu1^3)* (f42[t] - I*f42n[t]) + 9*(27 + 284*lu1 + 99*lu1^2 + 598*lu1^3)* (g42[t] - I*g42n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) - (Sqrt[42]*(-1 + 5*lu1)*mar*f20[t]* (f22[t] - I*f22n[t])*(2*(449 - 1147*lu1 - 32198*lu1^2 + 5848*lu1^3)* (f42[t] - I*f42n[t]) + (289 + 3964*lu1 + 5513*lu1^2 + 6698*lu1^3)* (g42[t] - I*g42n[t])))/(11*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) + (3*Sqrt[210]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*f40[t]* ((2162 + 37722*lu1 - 240396*lu1^2 + 74288*lu1^3)* (f42[t] - I*f42n[t]) + (2393 + 19452*lu1 + 7257*lu1^2 + 9314*lu1^3)*(g42[t] - I*g42n[t])))/(143*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (15*Sqrt[2/7]*(-1 + 5*lu1)*mar* f20[t]*(f42[t] - I*f42n[t])*(2*(7974 - 66059*lu1 + 383319*lu1^2 - 340014*lu1^3 + 282040*lu1^4)*(f42[t] - I*f42n[t]) + (4338 + 103067*lu1 + 101763*lu1^2 - 266298*lu1^3 - 105550*lu1^4)* (g42[t] - I*g42n[t])))/(143*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (225*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (2*(24405 - 107631*lu1 - 602390*lu1^2 - 187312*lu1^3 + 306208*lu1^4)* (f42[t] - I*f42n[t]) + (15717 + 259344*lu1 + 277679*lu1^2 - 109868*lu1^3 - 97912*lu1^4)*(g42[t] - I*g42n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* ((90270 + 793174*lu1 - 4278420*lu1^2 - 3681408*lu1^3 + 2465344*lu1^4)*(f42[t] - I*f42n[t]) + (73287 + 774412*lu1 + 749601*lu1^2 - 150492*lu1^3 - 43448*lu1^4)* (g42[t] - I*g42n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (30*Sqrt[6/7]*lu1*mar*f20[t]* (f22[t] - I*f22n[t])*((11542 - 73577*lu1 - 219323*lu1^2 - 106698*lu1^3 + 143336*lu1^4)*(f42[t] - I*f42n[t]) + (2878 + 56683*lu1 + 66106*lu1^2 - 28110*lu1^3 - 23077*lu1^4)* (g42[t] - I*g42n[t])))/(11*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (675*Sqrt[2/7]*lu1*mar*f20[t]* (f42[t] - I*f42n[t])*(2*(2307 - 49770*lu1 + 57557*lu1^2 - 49334*lu1^3 + 26360*lu1^4)*(f42[t] - I*f42n[t]) + (-1443 + 8298*lu1 + 27799*lu1^2 - 17824*lu1^3 - 8990*lu1^4)* (g42[t] - I*g42n[t])))/(143*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (Sqrt[2/21]*(-1 + 5*lu1)*mar*f20[t]* (f22[t] - I*f22n[t])*(2*(15993 - 42112*lu1 - 755487*lu1^2 - 899718*lu1^3 + 312824*lu1^4)*(f42[t] - I*f42n[t]) + (10413 + 167995*lu1 + 319248*lu1^2 + 213270*lu1^3 + 122074*lu1^4)* (g42[t] - I*g42n[t])))/(11*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (15*Sqrt[15/14]*lu1*mar* (f22[t] - I*f22n[t])*f40[t]*(2*(279042 - 2590581*lu1 - 2549723*lu1^2 + 5523326*lu1^3 + 7026736*lu1^4)* (f42[t] - I*f42n[t]) + (95079 + 2375022*lu1 + 1168409*lu1^2 - 3718166*lu1^3 + 753896*lu1^4)*(g42[t] - I*g42n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (Sqrt[15/14]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*f40[t]* (2*(165231 - 1557248*lu1 - 546549*lu1^2 + 7629438*lu1^3 + 9082768*lu1^4)*(f42[t] - I*f42n[t]) + (67509 + 1402076*lu1 - 764787*lu1^2 - 2839926*lu1^3 + 3142568*lu1^4)*(g42[t] - I*g42n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (675*Sqrt[5/14]*lu1*mar*f40[t]* (f42[t] - I*f42n[t])*(2*(-874134 + 4933323*lu1 + 8965007*lu1^2 + 26099888*lu1^3 + 27901516*lu1^4 + 40121440*lu1^5)* (f42[t] - I*f42n[t]) + 3*(-178095 - 3090156*lu1 - 1680349*lu1^2 + 4723364*lu1^3 - 9074204*lu1^4 + 2572720*lu1^5)* (g42[t] - I*g42n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) - (45*lu1*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (2*(-21897882 + 158015277*lu1 + 739323241*lu1^2 + 978665664*lu1^3 + 855785668*lu1^4 + 1078372512*lu1^5 + 778697920*lu1^6)* (f42[t] - I*f42n[t]) - 45*(164695 + 4202444*lu1 + 7672533*lu1^2 - 6274308*lu1^3 - 7504132*lu1^4 + 8465488*lu1^5)* (g42[t] - I*g42n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) + (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*f40[t]*(f42[t] - I*f42n[t])* (2*(1063917 - 13401134*lu1 - 62025391*lu1^2 - 26149884*lu1^3 + 66670132*lu1^4 + 114103520*lu1^5)*(f42[t] - I*f42n[t]) + (-332649 + 5124506*lu1 + 41361679*lu1^2 + 11898156*lu1^3 - 103700812*lu1^4 + 11204080*lu1^5)*(g42[t] - I*g42n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (3*(-1 + 5*lu1)*mar*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (2*(-17507781 + 97301246*lu1 - 231276377*lu1^2 - 1749872868*lu1^3 - 879061636*lu1^4 + 2648640736*lu1^5 + 2336093760*lu1^6)* (f42[t] - I*f42n[t]) - 5*(2629971 + 43473730*lu1 + 10867499*lu1^2 - 220191204*lu1^3 - 45464252*lu1^4 + 256041776*lu1^5)*(g42[t] - I*g42n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (6615*Sqrt[70]*mar*(f42[t] - I*f42n[t])* (3*(f42[t] - I*f42n[t])*((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*f40[t] - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*g40[t]) + 2*(42 + 451*lu1 - 6515*lu1^2 - 364698*lu1^3)*f40[t]*(g42[t] - I*g42n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (45*Sqrt[5/14]*mar*(f42[t] - I*f42n[t])* ((f42[t] - I*f42n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*f40[t] + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*g40[t]) + (195 + 9772*lu1 - 51693*lu1^2 - 145474*lu1^3)*f40[t]*(g42[t] - I*g42n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (45*Sqrt[5/14]*mar*(f42[t] - I*f42n[t])* ((f42[t] - I*f42n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*f40[t] - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)* g40[t]) + (2499 + 45370*lu1 + 15435*lu1^2 - 141448*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (3645*Sqrt[5/14]*mar*(f42[t] - I*f42n[t])* ((f42[t] - I*f42n[t])*(2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*g40[t]) - 10*(51 + 1214*lu1 + 6763*lu1^2 + 5924*lu1^3)*f40[t]*(g42[t] - I*g42n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (9*Sqrt[70]*mar*(f42[t] - I*f42n[t])*((f42[t] - I*f42n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*f40[t] + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)*g40[t]) - 630*(8 + 401*lu1 + 2600*lu1^2 + 12863*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (3645*Sqrt[5/14]*mar*(f42[t] - I*f42n[t])* (2*(f42[t] - I*f42n[t])*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*g40[t]) + 5*(-107 - 2548*lu1 - 11591*lu1^2 + 14502*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (3645*Sqrt[5/14]*mar*(f42[t] - I*f42n[t])* (2*(f42[t] - I*f42n[t])*((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] - (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*g40[t]) + 3*(-3 - 200*lu1 + 2057*lu1^2 + 37570*lu1^3)*f40[t]*(g42[t] - I*g42n[t])))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (2646*Sqrt[70]*mar*(f42[t] - I*f42n[t])*(2*(f42[t] - I*f42n[t])* ((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*f40[t] + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*g40[t]) - 3*(-15 + 1844*lu1 + 22969*lu1^2 + 613922*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(31603*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (6615*Sqrt[70]*mar*(f42[t] - I*f42n[t])*(6*(f42[t] - I*f42n[t])* ((21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)*f40[t] - 5*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*g40[t]) - (51 + 5830*lu1 + 34117*lu1^2 + 2152962*lu1^3)*f40[t]* (g42[t] - I*g42n[t])))/(347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (135*Sqrt[5/14]*lu1*mar*(f42[t] - I*f42n[t])* (20*(f42[t] - I*f42n[t])*((43544949 + 1939815691*lu1 + 67836191241*lu1^2 + 940901512385*lu1^3 - 8056220065994*lu1^4 - 19218525401496*lu1^5 - 12260083238296*lu1^6 + 20204777112240* lu1^7)*f40[t] + 17*(-200118 - 2408267*lu1 + 102708975*lu1^2 + 707132693*lu1^3 - 10131755177*lu1^4 - 58069126470*lu1^5 + 97439050820*lu1^6 + 256205548200*lu1^7)*g40[t]) + (328849473 + 36159362906*lu1 + 1078843126866*lu1^2 + 11294149738432*lu1^3 + 75816190212953*lu1^4 + 111033947929926* lu1^5 - 102459730725140*lu1^6 - 257193101235000*lu1^7)*f40[t]* (g42[t] - I*g42n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* ((f42[t] - I*f42n[t])*(4*(-101122380 + 121081097*lu1 + 237374588343*lu1^2 + 476941408945*lu1^3 - 11770052939107*lu1^ 4 - 41408627359302*lu1^5 + 73185283698940*lu1^6 + 68936686191240*lu1^7)*f40[t] + (24049257 + 4540410302*lu1 + 243419563590*lu1^2 + 5464168663564*lu1^3 + 31303700584349*lu1^ 4 + 16350122836902*lu1^5 - 44394776788484*lu1^6 + 59825421869640*lu1^7)*g40[t]) + 2*(6095445 + 184905382*lu1 - 8987179578*lu1^2 + 21148695716*lu1^3 + 1152695896033*lu1^4 - 3677902972986*lu1^5 - 31734256827604*lu1^6 - 31012221904440* lu1^7)*f40[t]*(g42[t] - I*g42n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (45*Sqrt[5/14]*(-1 + 5*lu1)*mar* (f42[t] - I*f42n[t])*(4*(f42[t] - I*f42n[t])* ((-101122380 + 121081097*lu1 + 237374588343*lu1^2 + 476941408945*lu1^3 - 11770052939107*lu1^4 - 41408627359302*lu1^ 5 + 73185283698940*lu1^6 + 68936686191240*lu1^7)*f40[t] - 17*(152907 + 2226970*lu1 - 29528694*lu1^2 - 1128086140*lu1^3 - 2716573409*lu1^4 + 88868523810*lu1^5 + 417961608692*lu1^6 + 206282296920*lu1^7)*g40[t]) + 3*(15545941 + 1687218342*lu1 + 74479084414*lu1^2 + 1809918732492*lu1^3 + 11141455128201*lu1^4 + 5012458836670*lu1^5 - 26480633684212*lu1^6 + 3942724750440*lu1^7)* f40[t]*(g42[t] - I*g42n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (45*Sqrt[5/14]*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (2*(f42[t] - I*f42n[t])*((-28937748 - 538467902*lu1 + 65481288958*lu1^2 + 948820909002*lu1^3 + 2521979324662*lu1^4 - 40958590643876*lu1^5 + 483480952408776*lu1^6 + 90284686274160*lu1^7)*f40[t] - 429*(-8655 - 233222*lu1 + 13313362*lu1^2 + 279663840*lu1^3 - 3368300663*lu1^4 - 55267954298*lu1^5 - 51812781300*lu1^6 + 321736753800*lu1^7)* g40[t]) + (-9358059 - 229041578*lu1 + 30882034030*lu1^2 + 1736904846108*lu1^3 + 21225305418265*lu1^4 + 96323318076286* lu1^5 + 42345006946956*lu1^6 + 38882973686760*lu1^7)*f40[t]* (g42[t] - I*g42n[t])))/(347633*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (135*Sqrt[5/14]*lu1*mar*(f42[t] - I*f42n[t])* (5*(f42[t] - I*f42n[t])*(4*(43544949 + 1939815691*lu1 + 67836191241*lu1^2 + 940901512385*lu1^3 - 8056220065994*lu1^4 - 19218525401496*lu1^5 - 12260083238296*lu1^6 + 20204777112240* lu1^7)*f40[t] + (56426961 + 6840216116*lu1 + 219220572672*lu1^ 2 + 2401667806450*lu1^3 + 14898880185227*lu1^4 + 13000620262434*lu1^5 - 334896808604*lu1^6 + 21434219552760*lu1^ 7)*g40[t]) - 2*(10662726 - 569735773*lu1 - 8830657503*lu1^2 + 236882089099*lu1^3 + 1061503736681*lu1^4 - 13143671808978*lu1^5 + 33827984701660*lu1^6 + 138627156305400*lu1^7)*f40[t]* (g42[t] - I*g42n[t])))/(4866862*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 113*lu1 + 584*lu1^2 + 1596*lu1^3)*Pi) + (135*Sqrt[5/14]*lu1*mar*(f42[t] - I*f42n[t])* (2*(f42[t] - I*f42n[t])*(10*(-1092003 + 188244575*lu1 - 10999313779*lu1^2 - 554427825939*lu1^3 - 1048328857462*lu1^4 + 10389519751256*lu1^5 + 212334373615224*lu1^6 + 130055760278640*lu1^7)*f40[t] + 143*(-65982 - 2504725*lu1 + 84009161*lu1^2 + 3298138155*lu1^3 - 5617301707*lu1^4 - 758520460570*lu1^5 - 3996326697300*lu1^6 + 7535916927000*lu1^7)* g40[t]) - 5*(-4877487 + 456775528*lu1 + 35813336668*lu1^2 + 913972915446*lu1^3 + 14023035445327*lu1^4 + 62976106584058* lu1^5 + 76079941139412*lu1^6 + 346683602767320*lu1^7)*f40[t]* (g42[t] - I*g42n[t])))/(347633*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (15*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((-50 + 4*lu1)*(f42[t] + I*f42n[t]) + 7*(1 + lu1)* (g42[t] + I*g42n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) - (30*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f42[t] + I*f42n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g42[t] + I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (100*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* ((46 - 394*lu1 + 532*lu1^2)*(f42[t] + I*f42n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g42[t] + I*g42n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (1435*mar*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*((47 - 1265*lu1 + 794*lu1^2)* (f42[t] + I*f42n[t]) + 9*(-3 + lu1 + 58*lu1^2)* (g42[t] + I*g42n[t])))/(20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)* Pi) + (5*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] + I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] + I*g42n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (18*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f42[t] + I*f42n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g42[t] + I*g42n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (10*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] + I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] + I*g42n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (1530*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f42[t] + I*f42n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g42[t] + I*g42n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (225*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (2*(24405 - 107631*lu1 - 602390*lu1^2 - 187312*lu1^3 + 306208*lu1^4)* (f42[t] + I*f42n[t]) + (15717 + 259344*lu1 + 277679*lu1^2 - 109868*lu1^3 - 97912*lu1^4)*(g42[t] + I*g42n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* ((90270 + 793174*lu1 - 4278420*lu1^2 - 3681408*lu1^3 + 2465344*lu1^4)*(f42[t] + I*f42n[t]) + (73287 + 774412*lu1 + 749601*lu1^2 - 150492*lu1^3 - 43448*lu1^4)* (g42[t] + I*g42n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (75*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (2*(112170 - 880569*lu1 - 1401191*lu1^2 + 1807046*lu1^3 + 2151184*lu1^4)*(f42[t] + I*f42n[t]) + (51603 + 1012518*lu1 + 250637*lu1^2 - 972302*lu1^3 + 143624*lu1^4)* (g42[t] + I*g42n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*(f44[t] - I*f44n[t])* (2*(59499 - 512608*lu1 - 695481*lu1^2 + 2203686*lu1^3 + 2464112*lu1^4)*(f42[t] + I*f42n[t]) + (26793 + 495196*lu1 - 305103*lu1^2 - 216558*lu1^3 + 991432*lu1^4)* (g42[t] + I*g42n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (2025*lu1*mar*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(2*(1261266 - 6363777*lu1 - 36465085*lu1^2 - 17941900*lu1^3 + 57899104*lu1^4 + 42451192*lu1^5)* (f42[t] + I*f42n[t]) + 3*(220177 + 4354036*lu1 + 8461475*lu1^2 - 1462060*lu1^3 - 5366892*lu1^4 + 519984*lu1^5)* (g42[t] + I*g42n[t])))/(20449*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) + (45*lu1*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (2*(-21897882 + 158015277*lu1 + 739323241*lu1^2 + 978665664*lu1^3 + 855785668*lu1^4 + 1078372512*lu1^5 + 778697920*lu1^6)* (f42[t] + I*f42n[t]) - 45*(164695 + 4202444*lu1 + 7672533*lu1^2 - 6274308*lu1^3 - 7504132*lu1^4 + 8465488*lu1^5)* (g42[t] + I*g42n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) - (45*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (2*(4847715 - 21954058*lu1 - 148107965*lu1^2 - 99469140*lu1^3 + 232074200*lu1^4 + 196828408*lu1^5)*(f42[t] + I*f42n[t]) + (2800953 + 50721166*lu1 + 80566121*lu1^2 - 48913356*lu1^3 - 36070532*lu1^4 + 49126928*lu1^5)*(g42[t] + I*g42n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (3*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (2*(-17507781 + 97301246*lu1 - 231276377*lu1^2 - 1749872868*lu1^3 - 879061636*lu1^4 + 2648640736*lu1^5 + 2336093760*lu1^6)* (f42[t] + I*f42n[t]) - 5*(2629971 + 43473730*lu1 + 10867499*lu1^2 - 220191204*lu1^3 - 45464252*lu1^4 + 256041776*lu1^5)*(g42[t] + I*g42n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (5*mar*((217 + 3329*lu1 + 11590*lu1^2)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 4*(f22[t] - I*f22n[t])* (30*(-1 - 9*lu1 + 10*lu1^2)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-1007 + 6741*lu1 + 6830*lu1^2)*(f44[t] - I*f44n[t]) + (43 - 1869*lu1 - 2830*lu1^2)*(g44[t] - I*g44n[t])))))/ (42*(-3 - 17*lu1 + 168*lu1^2 + 380*lu1^3)*Pi) + (5*mar*(-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f44[t] - I*f44n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g44[t] - I*g44n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (5*mar*(30*(-45 + 174*lu1 + 8408*lu1^2 + 25444*lu1^3 + 39833*lu1^4 + 21930*lu1^5)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-6*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f44[t] - I*f44n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g44[t] - I*g44n[t])))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (75*lu1*mar*((-699063 + 2829128*lu1 + 132822374*lu1^2 + 254275912*lu1^3 - 615078419*lu1^4 - 307888488*lu1^5 + 1370158140*lu1^6)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (4*(-14274 + 209613*lu1 + 2161249*lu1^2 - 20026833*lu1^3 - 23292599*lu1^4 + 170866920*lu1^5 + 247730740*lu1^6)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(198318 - 9545263*lu1 + 151991561*lu1^2 - 1251569257*lu1^3 - 1338150391*lu1^4 + 11882511068*lu1^5 + 17911163900*lu1^6)*( f44[t] - I*f44n[t]) - 315*(-3 + 13*lu1 + 38*lu1^2)^2*(53 + 668*lu1 + 20847*lu1^2)*(g44[t] - I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (75*lu1*mar*(4*(-14274 + 209613*lu1 + 2161249*lu1^2 - 20026833*lu1^3 - 23292599*lu1^4 + 170866920*lu1^5 + 247730740*lu1^6)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((-699063 + 2829128*lu1 + 132822374*lu1^2 + 254275912*lu1^3 - 615078419*lu1^4 - 307888488*lu1^5 + 1370158140*lu1^6)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(198318 - 9545263*lu1 + 151991561*lu1^2 - 1251569257*lu1^3 - 1338150391*lu1^4 + 11882511068*lu1^5 + 17911163900*lu1^6)*(f44[t] - I*f44n[t]) - 315*(-3 + 13*lu1 + 38*lu1^2)^2*(53 + 668*lu1 + 20847*lu1^2)*( g44[t] - I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*(-1 + 5*lu1)*mar*((-1322703 + 6794058*lu1 + 235435312*lu1^2 + 361204726*lu1^3 - 377066197*lu1^4 - 945599632*lu1^5 + 746101188*lu1^6)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (4*(-16110 + 217767*lu1 + 2583067*lu1^2 - 15838179*lu1^3 - 57074597*lu1^4 + 109118424*lu1^5 + 286500316*lu1^6)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(-1806057 + 29818488*lu1 - 56893430*lu1^2 - 1701135600* lu1^3 - 411113885*lu1^4 + 18115228416*lu1^5 + 21133001716* lu1^6)*(f44[t] - I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*( 17663 + 330562*lu1 + 623615*lu1^2)*(g44[t] - I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*(-1 + 5*lu1)*mar*(4*(-16110 + 217767*lu1 + 2583067*lu1^2 - 15838179*lu1^3 - 57074597*lu1^4 + 109118424*lu1^5 + 286500316*lu1^6)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((-1322703 + 6794058*lu1 + 235435312*lu1^2 + 361204726*lu1^3 - 377066197*lu1^4 - 945599632*lu1^5 + 746101188*lu1^6)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(-1806057 + 29818488*lu1 - 56893430*lu1^2 - 1701135600* lu1^3 - 411113885*lu1^4 + 18115228416*lu1^5 + 21133001716* lu1^6)*(f44[t] - I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*( 17663 + 330562*lu1 + 623615*lu1^2)*(g44[t] - I*g44n[t])))))/ (2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (45*mar*(2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*(f44[t] - I*f44n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*( g44[t] - I*g44n[t])))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (45*mar*(8*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (2*(21 + 556*lu1 + 2817*lu1^2 + 9278*lu1^3)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)*(f44[t] - I*f44n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*( g44[t] - I*g44n[t])))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*mar*((-231 + 464*lu1 + 5253*lu1^2 + 6802*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) - 4*(f22[t] - I*f22n[t])*((3133 + 16918*lu1 + 13701*lu1^2 - 26456*lu1^3)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 5*(f22[t] + I*f22n[t])*((-359 - 3552*lu1 - 11775*lu1^2 + 1286*lu1^3)*(f44[t] - I*f44n[t]) + 15*(3 - 16*lu1 - 25*lu1^2 + 38*lu1^3)*(g44[t] - I*g44n[t])))))/ (42*(-3 + 13*lu1 + 38*lu1^2)^2*Pi) - (5*mar*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(-14*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*(f44[t] - I*f44n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g44[t] - I*g44n[t])))))/ (18876*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (75*mar*(-28*(63 + 6438*lu1 + 14921*lu1^2 + 60594*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((-141 + 1456*lu1 + 107671*lu1^2 - 71610*lu1^3)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)*(f44[t] - I*f44n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)*(g44[t] - I*g44n[t])))))/ (572*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (mar*(45*(-49 + 160*lu1 + 9611*lu1^2 + 31110*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) - 2*(f22[t] - I*f22n[t])*((41601 + 757679*lu1 + 641199*lu1^2 - 675935*lu1^3)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 6*(f22[t] + I*f22n[t])*((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)*(f44[t] - I*f44n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g44[t] - I*g44n[t])))))/ (1694*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (25*(-1 + 5*lu1)*mar*(6*(3747 + 266764*lu1 + 204707*lu1^2 + 202734*lu1^3)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((37221 + 888284*lu1 + 430189*lu1^2 - 738990*lu1^3)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((-7635 - 2704942*lu1 + 6792587*lu1^2 + 4428662*lu1^3)*(f44[t] - I*f44n[t]) - 144*(15 - 716*lu1 + 2631*lu1^2 + 8246*lu1^3)*(g44[t] - I*g44n[t])))))/ (572*(9 + 108*lu1 - 3751*lu1^2 - 24562*lu1^3 + 192700*lu1^4 + 452200*lu1^5)*Pi) - (375*lu1*mar*(14*(-1497 + 40016*lu1 + 51163*lu1^2 + 274286*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((40917 + 950068*lu1 - 305547*lu1^2 - 4591230*lu1^3)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])*((42693 - 1669750*lu1 + 3394299*lu1^2 + 882742*lu1^3)*(f44[t] - I*f44n[t]) - 48*(90 - 1293*lu1 + 2773*lu1^2 + 11438*lu1^3)*(g44[t] - I*g44n[t])))))/ (572*(9 + 108*lu1 - 3751*lu1^2 - 24562*lu1^3 + 192700*lu1^4 + 452200*lu1^5)*Pi) - (mar*(225*(7 + 17*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-110*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 3*(f22[t] + I*f22n[t])*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f44[t] - I*f44n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g44[t] - I*g44n[t])))))/(1694*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*mar*(-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t])) + 2*(f22[t] - I*f22n[t])*(-924*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f44[t] - I*f44n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g44[t] - I*g44n[t])))))/ (18876*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (75*mar*(-1848*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (-((69 + 413*lu1 - 86241*lu1^2 - 878157*lu1^3 + 20025200*lu1^4 + 204596700*lu1^5)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])) + 2*(f22[t] + I*f22n[t])*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f44[t] - I*f44n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g44[t] - I*g44n[t])))))/(572*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (375*lu1*mar*(24*(-1242 + 18129*lu1 + 143264*lu1^2 - 1642471*lu1^3 + 670636*lu1^4 + 8727460*lu1^5)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((53349 + 943313*lu1 - 16743161*lu1^2 - 237809257*lu1^3 - 240292800*lu1^4 + 536606700*lu1^5)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((15855 - 1783759*lu1 + 44631649*lu1^2 - 332979861*lu1^3 + 1200759800*lu1^4 + 3479680540*lu1^5)*(f44[t] - I*f44n[t]) - 14*(531 - 17751*lu1 + 52877*lu1^2 - 5004853*lu1^3 + 22766752*lu1^4 + 66276940*lu1^5)*(g44[t] - I*g44n[t])))))/ (572*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (25*(-1 + 5*lu1)*mar* (24*(-621 + 25581*lu1 - 115555*lu1^2 - 3337249*lu1^3 + 13966936*lu1^4 + 39929260*lu1^5)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((45453 + 723721*lu1 - 15522017*lu1^2 - 175147969*lu1^3 + 96070400*lu1^4 + 261573900*lu1^5)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((232059 + 426457*lu1 - 10852419*lu1^2 - 103294997*lu1^3 + 752088744*lu1^4 + 3321713500*lu1^5)*(f44[t] - I*f44n[t]) - 6*(-8331 - 402751*lu1 - 2040673*lu1^2 + 14568823*lu1^3 + 88240216*lu1^4 + 108057180*lu1^5)*(g44[t] - I*g44n[t])))))/ (572*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - ((-1 + 5*lu1)*mar*(77*(-1 + 7*lu1 + 170*lu1^2)^2* (73569 + 7663456*lu1 + 146062781*lu1^2 + 170404290*lu1^3)* (f22[t] + I*f22n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(1320*(6921 - 72281*lu1 - 5376719*lu1^2 + 42850901*lu1^3 + 948570930*lu1^4 - 3307027088*lu1^5 - 44415785320*lu1^6 + 10425875600*lu1^7)*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((-75051939 + 883107100*lu1 + 51716547240*lu1^2 - 126079564462* lu1^3 - 1588775030873*lu1^4 - 67019962774086*lu1^5 + 251725232640980*lu1^6 + 963763136275800*lu1^7)*(f44[t] - I*f44n[t]) + (16544889 + 114610150*lu1 + 1555301860*lu1^2 + 240833765306*lu1^3 + 1231456168119*lu1^4 - 11485623854288* lu1^5 - 175282032698260*lu1^6 - 141578711083600*lu1^7)*( g44[t] - I*g44n[t])))))/(132132*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*lu1*mar*(385*(-1 + 7*lu1 + 170*lu1^2)^2*(267429 + 7280860*lu1 + 25294509*lu1^2 + 23520210*lu1^3)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (-1320*(-9006 + 25443*lu1 + 6809589*lu1^2 - 15896417*lu1^3 - 1249365575*lu1^4 - 411613590*lu1^5 + 54862722220*lu1^6 + 64843076200*lu1^7)*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((3515631 - 1182899294*lu1 + 22116133074* lu1^2 + 1251735654908*lu1^3 - 7731378719789*lu1^4 - 170894588244942*lu1^5 + 502734550929860*lu1^6 + 1475893204560600*lu1^7)*(f44[t] - I*f44n[t]) + 3*(6845213 + 272041778*lu1 + 1130089608*lu1^2 - 27321675426* lu1^3 + 423379151871*lu1^4 + 2807129489808*lu1^5 - 58438536229940*lu1^6 - 99839560192400*lu1^7)*(g44[t] - I*g44n[t])))))/(44044*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*lu1*mar*(-385*(-944577 - 11054934*lu1 + 404716546*lu1^2 + 2553297532*lu1^3 - 24188571277*lu1^4 - 62418863734*lu1^5 + 178461660900*lu1^6 + 385774985400*lu1^7)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* (2*(-23394993 - 2685644627*lu1 - 52071613026*lu1^2 + 338641859302*lu1^3 + 10713307583171*lu1^4 + 42645245679657*lu1^ 5 + 25896347228800*lu1^6 - 60081566264300*lu1^7)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((89423967 + 2684086384*lu1 + 47201303152*lu1^2 + 441279930886* lu1^3 - 11550125601467*lu1^4 - 133777441146542*lu1^5 - 301612470543860*lu1^6 + 74782214232600*lu1^7)*(f44[t] - I*f44n[t]) + 120*(-229410 - 4158831*lu1 + 80454375*lu1^2 + 1189851405*lu1^3 - 3750104245*lu1^4 - 48970229770*lu1^5 + 47430706948*lu1^6 + 244515217240*lu1^7)*(g44[t] - I*g44n[t])))))/(44044*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - ((-1 + 5*lu1)*mar*(77*(4385763 + 50360598*lu1 - 1850957546*lu1^2 - 10973905488*lu1^3 + 98364032971*lu1^4 + 160451950074*lu1^5 - 25046954300*lu1^6 + 208700700600*lu1^7)*(f22[t] + I*f22n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) - 2*(f22[t] - I*f22n[t])* (2*(-186070188 - 4792101277*lu1 + 7318000634*lu1^2 + 768655524832*lu1^3 + 9964524761286*lu1^4 + 45431857982537*lu1^ 5 + 40376930197660*lu1^6 - 76076088323900*lu1^7)* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((501700371 + 9009908768*lu1 - 94119703416*lu1^2 - 1146674606618* lu1^3 - 11507111956599*lu1^4 - 90363215261150*lu1^5 - 378478338306660*lu1^6 + 43709195461400*lu1^7)*(f44[t] - I*f44n[t]) + 120*(33183 - 3524385*lu1 - 54943193*lu1^2 + 1547037961*lu1^3 + 6919177978*lu1^4 - 89888899760*lu1^5 - 30732612488*lu1^6 + 327162816400*lu1^7)*(g44[t] - I*g44n[t])))))/(132132*(3 + 70*lu1)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*mar*f20[t]*(6*(-234 + 939*lu1 + 43785*lu1^2 + 124819*lu1^3 + 152549*lu1^4 + 38590*lu1^5)*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((-7929 + 190875*lu1 - 1198967*lu1^2 - 2163427*lu1^3 + 8197916*lu1^4 + 15570076*lu1^5)*(f44[t] - I*f44n[t]) - (59 + 3533*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(g44[t] - I*g44n[t]))))/(77*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) + (5*(-1 + 5*lu1)*mar*f20[t]* (-4*(-780372 + 4717650*lu1 + 174167551*lu1^2 + 254369793*lu1^3 - 303750461*lu1^4 - 811999527*lu1^5 + 318413926*lu1^6)* (f44[t] - I*f44n[t])*g20[t] + f20[t]* (18*(-555333 + 7062090*lu1 + 39323916*lu1^2 - 241046042*lu1^3 + 313931709*lu1^4 + 2812984016*lu1^5 + 3778518396*lu1^6)* (f44[t] - I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2* (21469 + 474542*lu1 + 953653*lu1^2)*(g44[t] - I*g44n[t]))))/ (6006*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (25*lu1*mar*f20[t]*(12*(109959 - 900935*lu1 - 21391850*lu1^2 - 88024240*lu1^3 - 45100375*lu1^4 + 188461983*lu1^5 + 289208850*lu1^6)*(f44[t] - I*f44n[t])*g20[t] + f20[t]*(2*(-403245 - 9508044*lu1 + 389428750*lu1^2 - 828704580*lu1^3 - 1971027725*lu1^4 + 18119354040*lu1^5 + 26315572612*lu1^6)*(f44[t] - I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(-35 - 1618*lu1 + 1463221*lu1^2)* (g44[t] - I*g44n[t]))))/(2002*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (135*mar*f20[t]*(2*(9 + 524*lu1 + 3333*lu1^2 + 10342*lu1^3)* (f44[t] - I*f44n[t])*g20[t] + f20[t]* (2*(267 - 5512*lu1 + 13023*lu1^2 + 16030*lu1^3)* (f44[t] - I*f44n[t]) + (51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(g44[t] - I*g44n[t]))))/ (1001*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (75*mar*f20[t]*(-((1905 + 178808*lu1 + 310117*lu1^2 + 1768242*lu1^3)* (f44[t] - I*f44n[t])*g20[t]) + 2*f20[t]* ((1107 + 305864*lu1 - 1342193*lu1^2 + 1645014*lu1^3)* (f44[t] - I*f44n[t]) - 336*(-3 - 5*lu1 + 116*lu1^2 + 228*lu1^3)* (g44[t] - I*g44n[t]))))/(6292*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (mar*f20[t]*((85407 + 1508158*lu1 + 849903*lu1^2 - 2751820*lu1^3)* (f44[t] - I*f44n[t])*g20[t] + 12*f20[t]* ((-5334 - 151181*lu1 + 28494*lu1^2 + 170165*lu1^3)* (f44[t] - I*f44n[t]) - 5*(-51 + 116*lu1 + 1101*lu1^2 + 1330*lu1^3)*(g44[t] - I*g44n[t]))))/ (363*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (mar*f20[t]*(5*(-1929 + 17167*lu1 + 291821*lu1^2 - 621183*lu1^3 + 2279080*lu1^4 + 12160100*lu1^5)*(f44[t] - I*f44n[t])*g20[t] + 6*f20[t]*((4767 + 252143*lu1 + 3520429*lu1^2 - 81926031*lu1^3 + 183764864*lu1^4 + 703920340*lu1^5)*(f44[t] - I*f44n[t]) + (8169 + 154996*lu1 + 185924*lu1^2 + 3366582*lu1^3 - 60082133*lu1^4 - 134361730*lu1^5)*(g44[t] - I*g44n[t]))))/ (363*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (75*mar*f20[t]*((-5613 + 29155*lu1 + 1307769*lu1^2 + 1369725*lu1^3 - 59417168*lu1^4 - 276225180*lu1^5)*(f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*(3*(-1531 + 42061*lu1 + 3583935*lu1^2 - 59359709*lu1^3 + 124474416*lu1^4 + 676065180*lu1^5)*(f44[t] - I*f44n[t]) - 28*(-33 - 2191*lu1 - 19543*lu1^2 - 915701*lu1^3 + 5041840*lu1^4 + 13624140*lu1^5)*(g44[t] - I*g44n[t]))))/ (6292*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + ((-1 + 5*lu1)*mar*f20[t]*((35345799 + 884291211*lu1 + 11607203701*lu1^2 + 200685665965*lu1^3 + 74048538680*lu1^4 - 254865736300*lu1^5)*(f44[t] - I*f44n[t])*g20[t] + 6*f20[t]*((-8118621 - 72992079*lu1 - 1336842179*lu1^2 - 53596970285*lu1^3 + 76685344400*lu1^4 + 38032095500*lu1^5)* (f44[t] - I*f44n[t]) + 120*(567 + 19479*lu1 + 745421*lu1^2 - 5061735*lu1^3 - 5924024*lu1^4 + 14068740*lu1^5)* (g44[t] - I*g44n[t]))))/(18876*(-1 + 7*lu1 + 170*lu1^2)^2* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*lu1*mar*f20[t]*((22229271 + 924788715*lu1 + 17795064373*lu1^2 + 153158155309*lu1^3 - 4916698840*lu1^4 - 336763535500*lu1^5)* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]* ((-15946551 - 309999333*lu1 - 7941625705*lu1^2 - 101464250911*lu1^ 3 + 104261152000*lu1^4 + 83014248100*lu1^5)* (f44[t] - I*f44n[t]) + 360*(2070 + 22773*lu1 + 89520*lu1^2 - 2724611*lu1^3 + 2099652*lu1^4 + 15515780*lu1^5)* (g44[t] - I*g44n[t]))))/(6292*(-1 + 7*lu1 + 170*lu1^2)^2* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - ((-1 + 5*lu1)*mar*f20[t]*(11*(-142173 - 16998030*lu1 + 104497634*lu1^2 + 6711236820*lu1^3 - 21559475393*lu1^4 - 548129968150*lu1^5 + 1181234865300*lu1^6 + 3979565275000*lu1^7)* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]* (3*(-18592227 + 368620740*lu1 + 10001481440*lu1^2 - 112544844726*lu1^3 + 400669583311*lu1^4 - 4752330588838*lu1^5 + 16068696145140*lu1^6 + 59746670397400*lu1^7)* (f44[t] - I*f44n[t]) - 4*(-1052289 + 2389320*lu1 - 1380261205*lu1^2 - 40768352871*lu1^3 + 30074537326*lu1^4 + 885400769783*lu1^5 + 4736558821860*lu1^6 + 6779948541100*lu1^7)* (g44[t] - I*g44n[t]))))/(18876*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*lu1*mar*f20[t]*(55*(-172161 - 4306542*lu1 + 104138162*lu1^2 + 1710636540*lu1^3 - 12500490077*lu1^4 - 184052663998*lu1^5 - 123430861500*lu1^6 + 562850507800*lu1^7)*(f44[t] - I*f44n[t])* g20[t] + 2*f20[t]*((36219519 + 794808084*lu1 - 14214969544*lu1^2 + 20381370102*lu1^3 + 2100562187149*lu1^4 - 21029776291378*lu1^ 5 + 58727980133340*lu1^6 + 184999553691400*lu1^7)* (f44[t] - I*f44n[t]) - 4*(-4113819 - 135348129*lu1 - 880442194*lu1^2 + 11525764278*lu1^3 + 51746526637*lu1^4 - 1141741719649*lu1^5 + 3446184885120*lu1^6 + 11668858194700*lu1^ 7)*(g44[t] - I*g44n[t]))))/(6292*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (2*Sqrt[5]*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-15579 + 445797*lu1 - 2967881* lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)* f40[t] - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*g40[t]) - 4*(23 + 1751*lu1)* (-3 + 13*lu1 + 38*lu1^2)^2*f40[t]*(g44[t] - I*g44n[t]))))/ (77*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)*Pi) + (45*Sqrt[5]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* ((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*g40[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(11011*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (135*Sqrt[5]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*(2*(f44[t] - I*f44n[t])*(3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)* g40[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(11011*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (2*Sqrt[5]*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* (-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*f40[t] + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*g40[t]) + 5*(51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (27*Sqrt[5]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*f40[t] + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*g40[t]) - 20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (30*Sqrt[5]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* ((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*f40[t] + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*g40[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (10*Sqrt[5]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* ((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*f40[t] + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*g40[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (9*Sqrt[5]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])* ((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*f40[t] + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*g40[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*(-10*(-5429586 + 88564904*lu1 + 5047716841*lu1^2 - 36916353080*lu1^3 - 1033838002320*lu1^4 - 2617993572332*lu1^5 + 317971338973*lu1^6 + 2280193556452*lu1^7 + 193907120820*lu1^8)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((5051373 - 517560964*lu1 + 5068115698*lu1^2 + 412336802540*lu1^3 - 6610489078555*lu1^4 - 68062886567904*lu1^5 - 19661226041148*lu1^6 + 152514276865136* lu1^7 + 125716875930240*lu1^8)*f40[t] + 8*(238653 - 6214671*lu1 - 194578980*lu1^2 + 2707542310*lu1^3 + 36494981765*lu1^4 - 89034204019*lu1^5 - 1139559319062*lu1^6 - 823173407220*lu1^7 + 1713934957000*lu1^8)*g40[t]) - 77*(-3 + 13*lu1 + 38*lu1^2)^2*(-3927 - 71233*lu1 + 3805909*lu1^2 + 86722469*lu1^3 + 210535710*lu1^4)*f40[t]* (g44[t] - I*g44n[t]))))/(11011*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (45*Sqrt[5]*lu1*mar*(2*(-10230804 + 178208328*lu1 + 9587364405*lu1^2 - 82481126000*lu1^3 - 2147901914130*lu1^4 - 9420535189188*lu1^5 - 9756917811899*lu1^6 + 8702268442020*lu1^7 + 7946543642100*lu1^8)* f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((-8259309 + 304439208*lu1 + 2387282854*lu1^2 - 142858645540*lu1^3 + 2060705685435*lu1^4 + 33597654688612*lu1^5 + 67325105515076*lu1^6 - 79218729015552* lu1^7 - 145488041707680*lu1^8)*f40[t] - 80*(17172 - 465363*lu1 - 16049112*lu1^2 + 267098170*lu1^3 + 2586173600* lu1^4 - 17865725491*lu1^5 - 40583562276*lu1^6 + 57335595636*lu1^7 + 102211180960*lu1^8)*g40[t]) + 77*(-3 + 13*lu1 + 38*lu1^2)^2*(-3696 - 74183*lu1 + 3466352*lu1^2 + 88904533*lu1^3 + 340371570*lu1^4)*f40[t]* (g44[t] - I*g44n[t]))))/(11011*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (90*Sqrt[5]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*f40[t] - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*g40[t]) - 210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (15*Sqrt[5]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*f40[t]*(f44[t] - I*f44n[t])* g20[t] + f20[t]*((f44[t] - I*f44n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*f40[t] - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*g40[t]) + 168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (3*Sqrt[5]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*((f44[t] - I*f44n[t])* (8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*g40[t]) - 12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (90*Sqrt[5]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*(6*(f44[t] - I*f44n[t])*((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*f40[t] - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*g40[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (3*Sqrt[5]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*f40[t]* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*(4*(f44[t] - I*f44n[t])* (2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*f40[t] - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*g40[ t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[5]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*f40[t]*(f44[t] - I*f44n[t])* g20[t] + f20[t]*(4*(f44[t] - I*f44n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*f40[t] + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*g40[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*f40[t]*(g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (45*Sqrt[5]*lu1*mar*(22*(-3198 + 20681*lu1 + 2109437*lu1^2 - 3966309*lu1^3 - 320638135*lu1^4 - 1054546000*lu1^5 + 1723774500*lu1^6)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*(3*(f44[t] - I*f44n[t])*((163625 - 2968359*lu1 - 64365245*lu1^2 + 713776023*lu1^3 - 17658124296*lu1^4 - 19148179700*lu1^5 + 480638317600*lu1^6)*f40[t] + 11*(-7296 + 9745*lu1 + 8404009*lu1^2 + 43339395*lu1^3 - 1894605785*lu1^4 - 13409474000*lu1^5 + 22935643500*lu1^6)*g40[ t]) + (376101 + 3769856*lu1 - 391843000*lu1^2 - 4778136018*lu1^3 + 50732527451*lu1^4 + 409196691650*lu1^5 - 1093609788600*lu1^6)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 + 29*lu1 + 2310*lu1^2)*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*(6*(-223623 + 193518*lu1 + 165379535*lu1^2 + 1491108743*lu1^3 + 3912843118*lu1^4 - 2843844905*lu1^5 + 1086551550*lu1^6)*f40[t]*(f44[t] - I*f44n[t])* g20[t] + f20[t]*(3*(f44[t] - I*f44n[t])*((601719 - 3650129*lu1 - 311846975*lu1^2 - 3142738939*lu1^3 - 21163491604*lu1^4 + 83471562720*lu1^5 + 73821673800*lu1^6)*f40[t] - 55*(-1395 + 8262*lu1 + 1229864*lu1^2 + 2979446*lu1^3 - 81271265*lu1^4 + 24060436*lu1^5 + 377717340*lu1^6)*g40[t]) - 20*(63 - 65376*lu1 + 219518*lu1^2 + 1135772*lu1^3 - 12688625*lu1^4 + 57012988*lu1^5 + 168258300*lu1^6)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^2* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (45*Sqrt[5]*lu1*mar*(2*(-395997 - 3745490*lu1 + 343642573*lu1^2 + 4655584053*lu1^3 + 1302047866*lu1^4 - 10087575935*lu1^5 + 31433200050*lu1^6)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((918597 + 17089981*lu1 - 811505437*lu1^2 - 13340548881*lu1^3 - 27164859548*lu1^4 + 294495197840*lu1^5 + 302421651000*lu1^6)*f40[t] - 11*(-34920 + 224073*lu1 + 31210153*lu1^2 + 52482451*lu1^3 - 2467677121*lu1^4 + 3072532520*lu1^5 + 15945675900*lu1^6)*g40[ t]) - 4*(-6462 - 61083*lu1 - 372935*lu1^2 + 9891007*lu1^3 - 120153523*lu1^4 + 405851840*lu1^5 + 1375871700*lu1^6)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^2* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar*(110*(-399 - 10084*lu1 + 533030*lu1^2 + 4061496*lu1^3 - 106845811*lu1^4 - 683427340*lu1^5 + 1972103700*lu1^6)*f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*(3*(116965 + 2087185*lu1 - 164972557*lu1^2 - 519505105*lu1^3 + 10886712508*lu1^4 - 172257515140*lu1^5 + 489861223600*lu1^6)*f40[t] + 55*(-2361 + 32450*lu1 + 2218640*lu1^2 - 11320950*lu1^3 - 396020779*lu1^4 - 593314300*lu1^5 + 5767584900*lu1^6)*g40[ t]) - 3*(-120029 - 329234*lu1 + 88259762*lu1^2 + 1121686096*lu1^3 + 1825710091*lu1^4 - 22679842630*lu1^5 + 176716348200*lu1^6)*f40[t]*(g44[t] - I*g44n[t]))))/ (1573*(-1 + 7*lu1 + 170*lu1^2)^3*(-3 + 29*lu1 + 2310*lu1^2)*Pi) - (45*Sqrt[5]*lu1*mar*(11*(-1 + 7*lu1 + 170*lu1^2)^2* (-11211 - 261284*lu1 + 66621*lu1^2 + 1387890*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*((f44[t] - I*f44n[t])* ((14343 + 27471920*lu1 - 128779100*lu1^2 - 1520314982*lu1^3 + 33008810137*lu1^4 - 185439629282*lu1^5 + 259083063820*lu1^6 + 1314323213000*lu1^7)*f40[t] - 2*(-10674 + 210573*lu1 + 3606991*lu1^2 - 49762371*lu1^3 - 480934045*lu1^4 + 1652034586*lu1^5 + 11946107700*lu1^6 + 14333383400*lu1^7)*g40[ t]) + 2*(115677 + 2276841*lu1 + 72913189*lu1^2 + 602699937*lu1^3 - 2800270798*lu1^4 - 15352612334*lu1^5 - 73349808120*lu1^6 - 115132221400*lu1^7)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar*(495*(-1 + 7*lu1 + 170*lu1^2)^2* (-159 - 3614*lu1 + 2783*lu1^2 + 12670*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*((f44[t] - I*f44n[t])* (3*(-145839 + 10174420*lu1 + 11626176*lu1^2 - 1372716102*lu1^3 + 18573125115*lu1^4 - 70326367062*lu1^5 - 64451274780*lu1^6 + 392187383000*lu1^7)*f40[t] + 2*(4599 - 261360*lu1 + 570044*lu1^2 + 73682562*lu1^3 - 284538095*lu1^4 - 5249307658*lu1^5 + 18707013900*lu1^6 + 54991589800*lu1^7)*g40[ t]) + (148869 + 340035*lu1 + 159070421*lu1^2 + 2836869741*lu1^3 - 6179530118*lu1^4 - 87184000444*lu1^5 - 175204198920*lu1^6 - 91411006400*lu1^7)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (45*Sqrt[5]*lu1*mar*(11*(-1 + 7*lu1 + 170*lu1^2)^2* (-11211 - 261284*lu1 + 66621*lu1^2 + 1387890*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*((f44[t] - I*f44n[t])* ((14343 + 27471920*lu1 - 128779100*lu1^2 - 1520314982*lu1^3 + 33008810137*lu1^4 - 185439629282*lu1^5 + 259083063820*lu1^6 + 1314323213000*lu1^7)*f40[t] + 2*(115677 + 2276841*lu1 + 72913189*lu1^2 + 602699937*lu1^3 - 2800270798*lu1^4 - 15352612334*lu1^5 - 73349808120*lu1^6 - 115132221400*lu1^7)* g40[t]) - 2*(-10674 + 210573*lu1 + 3606991*lu1^2 - 49762371*lu1^3 - 480934045*lu1^4 + 1652034586*lu1^5 + 11946107700*lu1^6 + 14333383400*lu1^7)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (3*Sqrt[5]*(-1 + 5*lu1)*mar*(495*(-1 + 7*lu1 + 170*lu1^2)^2* (-159 - 3614*lu1 + 2783*lu1^2 + 12670*lu1^3)*f40[t]* (f44[t] - I*f44n[t])*g20[t] + 2*f20[t]*((f44[t] - I*f44n[t])* (3*(-145839 + 10174420*lu1 + 11626176*lu1^2 - 1372716102*lu1^3 + 18573125115*lu1^4 - 70326367062*lu1^5 - 64451274780*lu1^6 + 392187383000*lu1^7)*f40[t] + (148869 + 340035*lu1 + 159070421*lu1^2 + 2836869741*lu1^3 - 6179530118*lu1^4 - 87184000444*lu1^5 - 175204198920*lu1^6 - 91411006400*lu1^7)* g40[t]) + 2*(4599 - 261360*lu1 + 570044*lu1^2 + 73682562*lu1^3 - 284538095*lu1^4 - 5249307658*lu1^5 + 18707013900*lu1^6 + 54991589800*lu1^7)*f40[t]* (g44[t] - I*g44n[t]))))/(1573*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (3*Sqrt[5]*(-1 + 5*lu1)*mar*(22*(1683 - 281049*lu1 + 1614656*lu1^2 - 42977678*lu1^3 - 285048597*lu1^4 + 13936398771*lu1^5 + 203819793130*lu1^6 + 1279769079300*lu1^7 + 311382421000*lu1^8)* f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((13061277 - 337131956*lu1 - 11310505530*lu1^2 + 235686088332*lu1^3 + 2052162874077* lu1^4 - 11260082199872*lu1^5 - 143259313340136*lu1^6 + 3922283288000*lu1^7 + 559804403947600*lu1^8)*f40[t] + (3677193 - 72303589*lu1 - 3990116854*lu1^2 + 41869928482* lu1^3 + 1491077763933*lu1^4 + 3144906871271*lu1^5 - 32592644203520*lu1^6 - 3214806785300*lu1^7 + 75763337328000* lu1^8)*g40[t]) - 231*(-5985 + 13131*lu1 + 7007816*lu1^2 + 30125578*lu1^3 - 1728967161*lu1^4 - 11047138393*lu1^5 + 59238768058*lu1^6 + 331205226900*lu1^7 + 365260480200*lu1^8)* f40[t]*(g44[t] - I*g44n[t]))))/(11011*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (45*Sqrt[5]*lu1*mar*(22*(414 - 166587*lu1 - 4795922*lu1^2 + 92518186*lu1^3 + 240437734*lu1^4 - 3569535427*lu1^5 + 118817688670*lu1^6 + 685216877500*lu1^7 + 1336957741000*lu1^8)* f40[t]*(f44[t] - I*f44n[t])*g20[t] + f20[t]*((f44[t] - I*f44n[t])*((2316237 - 40822388*lu1 - 3318573562*lu1^2 + 38505957996*lu1^3 + 1766736247789*lu1^4 - 7353566317536*lu1^5 - 71249504539752*lu1^6 - 20946963115200* lu1^7 + 128953950437200*lu1^8)*f40[t] + (3099459 - 44404357*lu1 - 3574789202*lu1^2 + 24908748106*lu1^3 + 1260241111399*lu1^4 + 4349254167823*lu1^5 - 48890241476120* lu1^6 - 32206847722900*lu1^7 + 162338249136000*lu1^8)*g40[ t]) - 231*(6552 - 207*lu1 - 8633126*lu1^2 - 30553446*lu1^3 + 2588549888*lu1^4 + 6354015841*lu1^5 - 148153942674*lu1^6 + 49647697100*lu1^7 + 700899599400*lu1^8)*f40[t]* (g44[t] - I*g44n[t]))))/(11011*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (5*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f42[t] - I*f42n[t]) - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(g42[t] - I*g42n[t])) - 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (135*Sqrt[3]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] - I*f42n[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(g42[t] - I*g42n[t])) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (405*Sqrt[3]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f44[t] - I*f44n[t])* (3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] - I*f42n[t]) + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*(g42[t] - I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f42[t] - I*f42n[t]) + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(g42[t] - I*g42n[t])) + 5*(51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (405*Sqrt[3]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*(6*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] - I*f42n[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(g42[t] - I*g42n[t])) - 20*(-3 - 8*lu1 + 129*lu1^2 + 266*lu1^3)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (-5*(f44[t] - I*f44n[t])*((-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f42[t] - I*f42n[t]) + (-51 - 1936*lu1 + 9993*lu1^2 + 27322*lu1^3)*(g42[t] - I*g42n[t])) + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (10*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] - I*f42n[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*(g42[t] - I*g42n[t])) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*Sqrt[3]*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)* Pi) - (10*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] - I*f42n[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*(g42[t] - I*g42n[t])) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*Sqrt[3]*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)* Pi) - (135*Sqrt[3]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] - I*f42n[t]) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)*(g42[t] - I*g42n[t])) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*((104002293 - 1132117829*lu1 - 93239688154*lu1^2 + 195302515570*lu1^3 + 11759433442545*lu1^4 + 34331039445991*lu1^5 + 2420970520532*lu1^6 - 34265752344068* lu1^7 - 7668489412080*lu1^8)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-19664331 - 126366389*lu1 + 21024133334* lu1^2 + 272461205890*lu1^3 - 3157605493055*lu1^4 - 42568240687737*lu1^5 - 15980012785068*lu1^6 + 119150619731068* lu1^7 + 103547030215440*lu1^8)*(f42[t] - I*f42n[t]) + 4*(378324 - 6451551*lu1 - 334057914*lu1^2 + 2641681130*lu1^3 + 53276139620*lu1^4 - 141876528687*lu1^5 - 1327698704622* lu1^6 - 425887917668*lu1^7 + 2576579372920*lu1^8)*(g42[t] - I*g42n[t])) - 154*(-3 + 13*lu1 + 38*lu1^2)^2* (-1371 - 18712*lu1 + 1242217*lu1^2 + 25796714*lu1^3 + 94284960*lu1^4)*(f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (75*Sqrt[3]*lu1*mar*((-47530629 + 271252941*lu1 + 45430232098*lu1^2 + 102752516510*lu1^3 - 5800677101905*lu1^4 - 25917349116863*lu1^5 - 22852523960908*lu1^6 + 23115515058116*lu1^7 + 15020088546960* lu1^8)*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-3231927 - 345815643*lu1 + 8039162538* lu1^2 + 291735166150*lu1^3 - 1791844925275*lu1^4 - 24281164395999*lu1^5 - 33026696685176*lu1^6 + 87816575232596* lu1^7 + 125376186727680*lu1^8)*(f42[t] - I*f42n[t]) + 16*(82809 - 1740582*lu1 - 67444137*lu1^2 + 872310800*lu1^3 + 7690297955*lu1^4 - 52673147382*lu1^5 - 115847580039*lu1^6 + 199774421836*lu1^7 + 350495594260*lu1^8)*(g42[t] - I*g42n[t])) - 154*(-3 + 13*lu1 + 38*lu1^2)^2* (69 - 30850*lu1 + 4753*lu1^2 + 25501808*lu1^3 + 180092220*lu1^4)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (30*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] - I*f42n[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(g42[t] - I*g42n[t])) - 210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(143*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (5*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f42[t] - I*f42n[t]) - 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*( g42[t] - I*g42n[t])) - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (5*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] - I*f42n[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251* lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(g42[t] - I*g42n[t])) + 168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*Sqrt[3]*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (75*Sqrt[3]*lu1*mar* ((16467 + 276899*lu1 - 5424263*lu1^2 - 69025411*lu1^3 - 9848400*lu1^4 + 257504100*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*(2*(73941 - 2108740*lu1 + 30716709*lu1^2 - 126210202*lu1^3 + 111142524*lu1^4 + 863775080*lu1^5)*( f42[t] - I*f42n[t]) - 7*(1881 - 210225*lu1 + 179435*lu1^2 + 1140197*lu1^3 + 27293788*lu1^4 + 54886060*lu1^5)*(g42[t] - I*g42n[t])) + 4*(-1854 + 22797*lu1 + 262196*lu1^2 - 1802083*lu1^3 - 2519060*lu1^4 + 3843700*lu1^5)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (30*Sqrt[3]*mar* (-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (6*(f44[t] - I*f44n[t])*((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] - I*f42n[t]) - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(g42[t] - I*g42n[t])) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(143*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (75*Sqrt[3]*lu1*mar*((16467 + 276899*lu1 - 5424263*lu1^2 - 69025411*lu1^3 - 9848400*lu1^4 + 257504100*lu1^5)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((73941 - 2108740*lu1 + 30716709*lu1^2 - 126210202*lu1^3 + 111142524*lu1^4 + 863775080*lu1^5)*(f42[t] - I*f42n[t]) + 2*(-1854 + 22797*lu1 + 262196*lu1^2 - 1802083*lu1^3 - 2519060*lu1^4 + 3843700*lu1^5)*(g42[t] - I*g42n[t])) - 7*(1881 - 210225*lu1 + 179435*lu1^2 + 1140197*lu1^3 + 27293788*lu1^4 + 54886060*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(143*(-1 + 7*lu1 + 170*lu1^2)^2* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(3*(4887 + 78609*lu1 - 1657943*lu1^2 - 19130501*lu1^3 + 7856600*lu1^4 + 36283100*lu1^5)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])* (2*(98073 - 1518684*lu1 + 32040793*lu1^2 - 122526794*lu1^3 - 184754740*lu1^4 + 778646120*lu1^5)*(f42[t] - I*f42n[t]) - 3*(-11031 - 944917*lu1 - 707261*lu1^2 + 29125233*lu1^3 + 90179900*lu1^4 + 72966460*lu1^5)*(g42[t] - I*g42n[t])) + 4*(-801 + 35433*lu1 - 176671*lu1^2 - 4675837*lu1^3 + 20026840*lu1^4 + 56751100*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(143*(-1 + 7*lu1 + 170*lu1^2)^2* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(3*(4887 + 78609*lu1 - 1657943*lu1^2 - 19130501*lu1^3 + 7856600*lu1^4 + 36283100*lu1^5)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((98073 - 1518684*lu1 + 32040793*lu1^2 - 122526794*lu1^3 - 184754740*lu1^4 + 778646120*lu1^5)*(f42[t] - I*f42n[t]) + 2*(-801 + 35433*lu1 - 176671*lu1^2 - 4675837*lu1^3 + 20026840*lu1^4 + 56751100*lu1^5)*(g42[t] - I*g42n[t])) - 3*(-11031 - 944917*lu1 - 707261*lu1^2 + 29125233*lu1^3 + 90179900*lu1^4 + 72966460*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(143*(-1 + 7*lu1 + 170*lu1^2)^2* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (4*(f44[t] - I*f44n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] - I*f42n[t]) + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(g42[t] - I*g42n[t])) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*Sqrt[3]*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (75*Sqrt[3]*lu1*mar* (-88*(-10638 + 170301*lu1 + 9051578*lu1^2 - 78288158*lu1^3 - 1651130310*lu1^4 + 2056792221*lu1^5 + 67931166874*lu1^6 + 278053863180*lu1^7 + 441933465400*lu1^8)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(f44[t] - I*f44n[t])*((-10973424 + 218629627*lu1 + 7659728942*lu1^2 - 91561413042*lu1^3 - 329325804200*lu1^4 + 1926081450075*lu1^5 + 25919777550282*lu1^6 + 37269171013380* lu1^7 + 2393998276600*lu1^8)*(f42[t] - I*f42n[t]) + 462*(5193 - 15588*lu1 - 6407746*lu1^2 - 14007012*lu1^3 + 1791528937*lu1^4 + 4538436416*lu1^5 - 94948367544*lu1^6 - 7806694400*lu1^7 + 371781656400*lu1^8)*(g42[t] - I*g42n[t])) + (-13481985 - 6218453*lu1 + 15176858926*lu1^2 + 85315950170*lu1^3 - 3037148361069*lu1^4 - 11473687924529*lu1^ 5 + 119921789288576*lu1^6 + 68826744964940*lu1^7 - 399008763871200*lu1^8)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(-88*(9549 - 19308*lu1 - 11671634*lu1^2 - 11879416*lu1^3 + 3143312265*lu1^4 + 8597900652*lu1^5 - 191620675852*lu1^6 - 561296221440*lu1^7 + 49595772800*lu1^8)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])* (2*(14923341 - 158254621*lu1 - 15019865708*lu1^2 + 64120386282* lu1^3 + 2700513405629*lu1^4 - 10333624117377*lu1^5 - 81625952828742*lu1^6 + 8348555102580*lu1^7 + 267122019386600* lu1^8)*(f42[t] - I*f42n[t]) + (16512561 - 81901807*lu1 - 15824383550*lu1^2 - 49623472370*lu1^3 + 2123270135485*lu1^4 + 10069208692477*lu1^5 - 59536248932624*lu1^6 - 24766093049500* lu1^7 + 183539610156000*lu1^8)*(g42[t] - I*g42n[t])) - 924*(-1539 - 3636*lu1 + 1900062*lu1^2 + 14479652*lu1^3 - 481903931*lu1^4 - 4164925272*lu1^5 + 14349650648*lu1^6 + 129092744800*lu1^7 + 175519621200*lu1^8)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (75*Sqrt[3]*lu1*mar*((-47530629 + 271252941*lu1 + 45430232098*lu1^2 + 102752516510*lu1^3 - 5800677101905*lu1^4 - 25917349116863*lu1^5 - 22852523960908*lu1^6 + 23115515058116*lu1^7 + 15020088546960* lu1^8)*(f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-3231927 - 345815643*lu1 + 8039162538* lu1^2 + 291735166150*lu1^3 - 1791844925275*lu1^4 - 24281164395999*lu1^5 - 33026696685176*lu1^6 + 87816575232596* lu1^7 + 125376186727680*lu1^8)*(f42[t] - I*f42n[t]) - 154*(-3 + 13*lu1 + 38*lu1^2)^2*(69 - 30850*lu1 + 4753*lu1^2 + 25501808*lu1^3 + 180092220*lu1^4)*(g42[t] - I*g42n[t])) + 16*(82809 - 1740582*lu1 - 67444137*lu1^2 + 872310800*lu1^3 + 7690297955*lu1^4 - 52673147382*lu1^5 - 115847580039*lu1^6 + 199774421836*lu1^7 + 350495594260*lu1^8)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-3 + 29*lu1 + 2310*lu1^2)* (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (75*Sqrt[3]*lu1*mar*(-88*(-10638 + 170301*lu1 + 9051578*lu1^2 - 78288158*lu1^3 - 1651130310*lu1^4 + 2056792221*lu1^5 + 67931166874*lu1^6 + 278053863180*lu1^7 + 441933465400*lu1^8)* (f42[t] - I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])* (2*(-10973424 + 218629627*lu1 + 7659728942*lu1^2 - 91561413042* lu1^3 - 329325804200*lu1^4 + 1926081450075*lu1^5 + 25919777550282*lu1^6 + 37269171013380*lu1^7 + 2393998276600* lu1^8)*(f42[t] - I*f42n[t]) + (-13481985 - 6218453*lu1 + 15176858926*lu1^2 + 85315950170*lu1^3 - 3037148361069*lu1^4 - 11473687924529*lu1^5 + 119921789288576*lu1^6 + 68826744964940* lu1^7 - 399008763871200*lu1^8)*(g42[t] - I*g42n[t])) + 924*(5193 - 15588*lu1 - 6407746*lu1^2 - 14007012*lu1^3 + 1791528937*lu1^4 + 4538436416*lu1^5 - 94948367544*lu1^6 - 7806694400*lu1^7 + 371781656400*lu1^8)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*((104002293 - 1132117829*lu1 - 93239688154*lu1^2 + 195302515570*lu1^3 + 11759433442545*lu1^4 + 34331039445991*lu1^5 + 2420970520532*lu1^6 - 34265752344068* lu1^7 - 7668489412080*lu1^8)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2*(f22[t] + I*f22n[t])* ((f44[t] - I*f44n[t])*((-19664331 - 126366389*lu1 + 21024133334* lu1^2 + 272461205890*lu1^3 - 3157605493055*lu1^4 - 42568240687737*lu1^5 - 15980012785068*lu1^6 + 119150619731068* lu1^7 + 103547030215440*lu1^8)*(f42[t] - I*f42n[t]) - 154*(-3 + 13*lu1 + 38*lu1^2)^2*(-1371 - 18712*lu1 + 1242217*lu1^2 + 25796714*lu1^3 + 94284960*lu1^4)*(g42[t] - I*g42n[t])) + 4*(378324 - 6451551*lu1 - 334057914*lu1^2 + 2641681130*lu1^3 + 53276139620*lu1^4 - 141876528687*lu1^5 - 1327698704622*lu1^6 - 425887917668*lu1^7 + 2576579372920*lu1^8)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* (-88*(9549 - 19308*lu1 - 11671634*lu1^2 - 11879416*lu1^3 + 3143312265*lu1^4 + 8597900652*lu1^5 - 191620675852*lu1^6 - 561296221440*lu1^7 + 49595772800*lu1^8)*(f42[t] - I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + (f22[t] + I*f22n[t])* (2*(f44[t] - I*f44n[t])*((14923341 - 158254621*lu1 - 15019865708* lu1^2 + 64120386282*lu1^3 + 2700513405629*lu1^4 - 10333624117377*lu1^5 - 81625952828742*lu1^6 + 8348555102580* lu1^7 + 267122019386600*lu1^8)*(f42[t] - I*f42n[t]) - 462*(-1539 - 3636*lu1 + 1900062*lu1^2 + 14479652*lu1^3 - 481903931*lu1^4 - 4164925272*lu1^5 + 14349650648*lu1^6 + 129092744800*lu1^7 + 175519621200*lu1^8)*(g42[t] - I*g42n[t])) + (16512561 - 81901807*lu1 - 15824383550*lu1^2 - 49623472370*lu1^3 + 2123270135485*lu1^4 + 10069208692477*lu1^ 5 - 59536248932624*lu1^6 - 24766093049500*lu1^7 + 183539610156000*lu1^8)*(f42[t] - I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (5*mar*(6*(-1461 + 5141*lu1 + 283035*lu1^2 + 876711*lu1^3 + 120566*lu1^4 - 940440*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*((-15579 + 445797*lu1 - 2967881*lu1^2 - 13925989*lu1^3 + 16188440*lu1^4 + 49866508*lu1^5)*(f42[t] + I*f42n[t]) - 30*(9 - 69*lu1 - 1745*lu1^2 + 2401*lu1^3 + 46616*lu1^4 + 71060*lu1^5)*(g42[t] + I*g42n[t])) - 4*(23 + 1751*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)*Pi) - (135*Sqrt[3]*mar*(220*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((604 + 61752*lu1 + 255828*lu1^2 - 6687080*lu1^3)*(f42[t] + I*f42n[t]) + 2*(679 + 11595*lu1 + 103773*lu1^2 + 786865*lu1^3)*(g42[t] + I*g42n[t])) + (163 + 2640*lu1 - 54177*lu1^2 - 642770*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (405*Sqrt[3]*mar*(2*(1197 + 15753*lu1 + 16663*lu1^2 - 11085*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f44[t] - I*f44n[t])* (3*(159 - 14246*lu1 + 17683*lu1^2 + 75572*lu1^3)*(f42[t] + I*f42n[t]) + 10*(3 + 8*lu1 - 129*lu1^2 - 266*lu1^3)*(g42[t] + I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (5*mar*(12*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*(-5*(-105 - 1804*lu1 + 21735*lu1^2 + 54862*lu1^3)*(f42[t] + I*f42n[t]) + 144*(1 - 45*lu1 + 411*lu1^2 + 1105*lu1^3)*(g42[t] + I*g42n[t])) + 5*(51 + 1936*lu1 - 9993*lu1^2 - 27322*lu1^3)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(77*Sqrt[3]*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*Sqrt[3]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f42[t] + I*f42n[t]) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)*(g42[t] + I*g42n[t])) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (5*Sqrt[3]*mar*((-49 + 120*lu1 + 9891*lu1^2 + 37910*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((-6901 + 45896*lu1 + 17071*lu1^2 + 125950*lu1^3)*(f42[t] + I*f42n[t]) - 30*(1 - 8*lu1 - 163*lu1^2 + 170*lu1^3)*(g42[t] + I*g42n[t])) + 2*(-920 - 18317*lu1 - 18334*lu1^2 + 12995*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (77*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (10*Sqrt[3]*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] + I*f42n[t]) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)*(g42[t] + I*g42n[t])) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (10*mar*(231*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((-2235 + 67328*lu1 + 3112121*lu1^2 - 43110270*lu1^3)*(f42[t] + I*f42n[t]) + 63*(5 + 244*lu1 + 4213*lu1^2 + 131090*lu1^3)*(g42[t] + I*g42n[t])) + 2*(57 - 1142*lu1 - 38177*lu1^2 + 455070*lu1^3)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (1573*Sqrt[3]*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)* Pi) - (75*Sqrt[3]*lu1*mar*(2*(4350 + 20593*lu1 - 1272130*lu1^2 - 7450007*lu1^3 + 29805930*lu1^4)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (3*(f44[t] - I*f44n[t])*((-1423 + 80432*lu1 - 6881603*lu1^2 - 43207918*lu1^3 + 424427920*lu1^4)*(f42[t] + I*f42n[t]) + (9852 + 49649*lu1 - 9178964*lu1^2 - 109701883*lu1^3 + 148124130*lu1^4)*(g42[t] + I*g42n[t])) - 28*(837 + 15556*lu1 - 583879*lu1^2 - 8207906*lu1^3 + 24780000*lu1^4)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 + 29*lu1 + 2310*lu1^2)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*((104002293 - 1132117829*lu1 - 93239688154*lu1^2 + 195302515570*lu1^3 + 11759433442545*lu1^4 + 34331039445991*lu1^5 + 2420970520532*lu1^6 - 34265752344068* lu1^7 - 7668489412080*lu1^8)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*((-19664331 - 126366389*lu1 + 21024133334* lu1^2 + 272461205890*lu1^3 - 3157605493055*lu1^4 - 42568240687737*lu1^5 - 15980012785068*lu1^6 + 119150619731068* lu1^7 + 103547030215440*lu1^8)*(f42[t] + I*f42n[t]) + 4*(378324 - 6451551*lu1 - 334057914*lu1^2 + 2641681130*lu1^3 + 53276139620*lu1^4 - 141876528687*lu1^5 - 1327698704622* lu1^6 - 425887917668*lu1^7 + 2576579372920*lu1^8)*(g42[t] + I*g42n[t])) - 154*(-3 + 13*lu1 + 38*lu1^2)^2* (-1371 - 18712*lu1 + 1242217*lu1^2 + 25796714*lu1^3 + 94284960*lu1^4)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar* (2*(2091 + 124309*lu1 - 1944169*lu1^2 - 19308281*lu1^3 + 104733090*lu1^4)*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*((8865 - 672256*lu1 + 8379133*lu1^2 - 572039470*lu1^3 + 1520361360*lu1^4)*(f42[t] + I*f42n[t]) + (23781 - 129617*lu1 - 19518079*lu1^2 - 74909267*lu1^3 + 182852670*lu1^4)*(g42[t] + I*g42n[t])) - 2*(4953 + 24848*lu1 + 1776829*lu1^2 + 15127610*lu1^3 + 175166880*lu1^4)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 + 29*lu1 + 2310*lu1^2)*Pi) - (75*Sqrt[3]*lu1*mar*((-47530629 + 271252941*lu1 + 45430232098*lu1^2 + 102752516510*lu1^3 - 5800677101905*lu1^4 - 25917349116863*lu1^5 - 22852523960908*lu1^6 + 23115515058116*lu1^7 + 15020088546960* lu1^8)*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] - I*g22n[t]) - 2*(f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*((-3231927 - 345815643*lu1 + 8039162538* lu1^2 + 291735166150*lu1^3 - 1791844925275*lu1^4 - 24281164395999*lu1^5 - 33026696685176*lu1^6 + 87816575232596* lu1^7 + 125376186727680*lu1^8)*(f42[t] + I*f42n[t]) + 16*(82809 - 1740582*lu1 - 67444137*lu1^2 + 872310800*lu1^3 + 7690297955*lu1^4 - 52673147382*lu1^5 - 115847580039*lu1^6 + 199774421836*lu1^7 + 350495594260*lu1^8)*(g42[t] + I*g42n[t])) - 154*(-3 + 13*lu1 + 38*lu1^2)^2* (69 - 30850*lu1 + 4753*lu1^2 + 25501808*lu1^3 + 180092220*lu1^4)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 29*lu1 + 2310*lu1^2)*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)^2*Pi) + (10*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*(6*(1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] + I*f42n[t]) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(g42[t] + I*g42n[t])) - 210*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) - (5*Sqrt[3]*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* ((f44[t] - I*f44n[t])*(4*(-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] + I*f42n[t]) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251* lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(g42[t] + I*g42n[t])) + 168*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(143*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (45*Sqrt[3]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (8*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] + I*f42n[t]) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(g42[t] + I*g42n[t])) - 12*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (22022*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (10*Sqrt[3]*mar*(-2*(-3 + 119*lu1 + 1467*lu1^2 - 81291*lu1^3 + 92600*lu1^4 + 9032100*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (6*(f44[t] - I*f44n[t])*((1447 - 7628*lu1 + 1119015*lu1^2 - 10431390*lu1^3 + 7931844*lu1^4 + 83733720*lu1^5)*(f42[t] + I*f42n[t]) - 35*(3 - 16*lu1 - 661*lu1^2 - 266*lu1^3 + 21316*lu1^4 + 38760*lu1^5)*(g42[t] + I*g42n[t])) - 7*(-663 - 32347*lu1 - 20221*lu1^2 + 327619*lu1^3 + 6212464*lu1^4 + 11449020*lu1^5)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (45*Sqrt[3]*mar*(27*(21 + 67*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + 2*(f22[t] - I*f22n[t])*(4*(f44[t] - I*f44n[t])* (2*(9240 - 23399*lu1 + 356771*lu1^2 - 7134219*lu1^3 + 12307801*lu1^4 + 50828510*lu1^5)*(f42[t] + I*f42n[t]) - 3*(51 - 473*lu1 - 8959*lu1^2 + 26097*lu1^3 + 196480*lu1^4 + 226100*lu1^5)*(g42[t] + I*g42n[t])) - (-27741 - 691319*lu1 + 24215*lu1^2 + 24304491*lu1^3 + 60090706*lu1^4 + 33330560*lu1^5)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*mar*(84*(-24 - 1391*lu1 + 10370*lu1^2 + 280189*lu1^3 + 906324*lu1^4 + 2924340*lu1^5)*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])* (4*(f44[t] - I*f44n[t])*((-459 + 133467*lu1 - 403957*lu1^2 - 31921095*lu1^3 + 107714968*lu1^4 + 69604500*lu1^5)*(f42[t] + I*f42n[t]) + 42*(9 - 9*lu1 - 2425*lu1^2 - 6739*lu1^3 + 96136*lu1^4 + 200260*lu1^5)*(g42[t] + I*g42n[t])) - (747 + 13131*lu1 - 883607*lu1^2 - 14890251*lu1^3 + 88882712*lu1^4 + 230071380*lu1^5)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(1573*Sqrt[3]*(-9 + 189*lu1 + 7315*lu1^2 - 99221*lu1^3 - 1003246*lu1^4 + 5906900*lu1^5 + 14922600*lu1^6)*Pi) + (75*Sqrt[3]*lu1*mar* (7*(-3831 - 69362*lu1 + 2369008*lu1^2 + 10780806*lu1^3 - 199109381*lu1^4 - 230619332*lu1^5 + 1590270780*lu1^6)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])*((103281 + 1154921*lu1 - 76876253*lu1^2 - 236636697*lu1^3 - 1151604880*lu1^4 + 32901061420*lu1^5 + 19010248320*lu1^6)*(f42[t] + I*f42n[t]) - (-57924 + 248859*lu1 + 52567171*lu1^2 + 190958665*lu1^3 - 3834698479*lu1^4 + 707197448*lu1^5 + 17451454020*lu1^6)*( g42[t] + I*g42n[t])) - 8*(-1278 + 1449*lu1 + 460789*lu1^2 - 410717*lu1^3 - 31542943*lu1^4 + 69631784*lu1^5 + 254905140*lu1^6)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* ((-28773 + 76590*lu1 - 2562412*lu1^2 + 79417118*lu1^3 + 1397863981*lu1^4 + 145659508*lu1^5 + 3143434980*lu1^6)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(3*(f44[t] - I*f44n[t])* ((45363 - 559021*lu1 - 3694783*lu1^2 - 149073539*lu1^3 - 920316392*lu1^4 + 8575212420*lu1^5 + 4151538720*lu1^6)*( f42[t] + I*f42n[t]) + (15507 - 85752*lu1 - 13496986*lu1^2 - 41265148*lu1^3 + 732185011*lu1^4 + 689895772*lu1^5 - 1666854420*lu1^6)*(g42[t] + I*g42n[t])) - 8*(-576 - 31311*lu1 + 689017*lu1^2 + 3334531*lu1^3 - 58737097*lu1^4 + 60833072*lu1^5 + 371301420*lu1^6)* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]))))/ (143*(-1 + 7*lu1 + 170*lu1^2)^2*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (75*Sqrt[3]*lu1*mar*(154*(-1 + 7*lu1 + 170*lu1^2)^2* (-3327 - 64958*lu1 + 347007*lu1^2 + 1197630*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((1807071 + 172256617*lu1 + 1266435135*lu1^2 - 28818213745* lu1^3 - 26826455426*lu1^4 + 92309788308*lu1^5 + 3761041299800*lu1^6 + 11758449897600*lu1^7)*(f42[t] + I*f42n[t]) - 2*(-77058 + 98307*lu1 + 52395425*lu1^2 + 5500251*lu1^3 - 8864036207*lu1^4 - 25342006786*lu1^5 + 269652608700*lu1^6 + 682343548600*lu1^7)*(g42[t] + I*g42n[t])) + (3411939 + 154034844*lu1 + 2927220232*lu1^2 + 15275204286*lu1^3 - 273310738807*lu1^4 - 2195513984258*lu1^5 - 2940366724500*lu1^6 - 499913087800*lu1^7)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(462*(-1 + 7*lu1 + 170*lu1^2)^2* (471 + 14449*lu1 + 88444*lu1^2 + 180460*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (2*(800883 + 246494285*lu1 + 1441350619*lu1^2 - 66240768149* lu1^3 + 277570555006*lu1^4 + 530086902436*lu1^5 - 3313521260840*lu1^6 + 8181122163200*lu1^7)*(f42[t] + I*f42n[t]) + (5258493 + 160252850*lu1 + 2394663530*lu1^2 + 19956504208*lu1^3 - 362761187403*lu1^4 - 2624360133442* lu1^5 - 1831334599940*lu1^6 + 1420575457000*lu1^7)*(g42[t] + I*g42n[t])) + 4*(19809 - 525360*lu1 - 12846728*lu1^2 + 186448158*lu1^3 + 1604930603*lu1^4 - 3592253102*lu1^5 + 30940004100*lu1^6 - 152148425800*lu1^7)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (75*Sqrt[3]*lu1*mar*(154*(-1 + 7*lu1 + 170*lu1^2)^2* (-3327 - 64958*lu1 + 347007*lu1^2 + 1197630*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (2*(1807071 + 172256617*lu1 + 1266435135*lu1^2 - 28818213745* lu1^3 - 26826455426*lu1^4 + 92309788308*lu1^5 + 3761041299800*lu1^6 + 11758449897600*lu1^7)*(f42[t] + I*f42n[t]) + (3411939 + 154034844*lu1 + 2927220232*lu1^2 + 15275204286*lu1^3 - 273310738807*lu1^4 - 2195513984258* lu1^5 - 2940366724500*lu1^6 - 499913087800*lu1^7)*(g42[t] + I*g42n[t])) - 4*(-77058 + 98307*lu1 + 52395425*lu1^2 + 5500251*lu1^3 - 8864036207*lu1^4 - 25342006786*lu1^5 + 269652608700*lu1^6 + 682343548600*lu1^7)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) + (5*Sqrt[3]*(-1 + 5*lu1)*mar*(462*(-1 + 7*lu1 + 170*lu1^2)^2* (471 + 14449*lu1 + 88444*lu1^2 + 180460*lu1^3)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*(2*(f44[t] - I*f44n[t])* ((800883 + 246494285*lu1 + 1441350619*lu1^2 - 66240768149* lu1^3 + 277570555006*lu1^4 + 530086902436*lu1^5 - 3313521260840*lu1^6 + 8181122163200*lu1^7)*(f42[t] + I*f42n[t]) + 2*(19809 - 525360*lu1 - 12846728*lu1^2 + 186448158*lu1^3 + 1604930603*lu1^4 - 3592253102*lu1^5 + 30940004100*lu1^6 - 152148425800*lu1^7)*(g42[t] + I*g42n[t])) + (5258493 + 160252850*lu1 + 2394663530*lu1^2 + 19956504208*lu1^3 - 362761187403*lu1^4 - 2624360133442*lu1^5 - 1831334599940*lu1^6 + 1420575457000*lu1^7)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (-9 - 171*lu1 + 1024*lu1^2 + 2660*lu1^3)*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(-88*(9549 - 19308*lu1 - 11671634*lu1^2 - 11879416*lu1^3 + 3143312265*lu1^4 + 8597900652*lu1^5 - 191620675852*lu1^6 - 561296221440*lu1^7 + 49595772800*lu1^8)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (2*(14923341 - 158254621*lu1 - 15019865708*lu1^2 + 64120386282* lu1^3 + 2700513405629*lu1^4 - 10333624117377*lu1^5 - 81625952828742*lu1^6 + 8348555102580*lu1^7 + 267122019386600* lu1^8)*(f42[t] + I*f42n[t]) + (16512561 - 81901807*lu1 - 15824383550*lu1^2 - 49623472370*lu1^3 + 2123270135485*lu1^4 + 10069208692477*lu1^5 - 59536248932624*lu1^6 - 24766093049500* lu1^7 + 183539610156000*lu1^8)*(g42[t] + I*g42n[t])) - 924*(-1539 - 3636*lu1 + 1900062*lu1^2 + 14479652*lu1^3 - 481903931*lu1^4 - 4164925272*lu1^5 + 14349650648*lu1^6 + 129092744800*lu1^7 + 175519621200*lu1^8)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) - (75*Sqrt[3]*lu1*mar*(-88*(-10638 + 170301*lu1 + 9051578*lu1^2 - 78288158*lu1^3 - 1651130310*lu1^4 + 2056792221*lu1^5 + 67931166874*lu1^6 + 278053863180*lu1^7 + 441933465400*lu1^8)* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] - I*g22n[t]) + (f22[t] - I*f22n[t])*((f44[t] - I*f44n[t])* (2*(-10973424 + 218629627*lu1 + 7659728942*lu1^2 - 91561413042* lu1^3 - 329325804200*lu1^4 + 1926081450075*lu1^5 + 25919777550282*lu1^6 + 37269171013380*lu1^7 + 2393998276600* lu1^8)*(f42[t] + I*f42n[t]) + (-13481985 - 6218453*lu1 + 15176858926*lu1^2 + 85315950170*lu1^3 - 3037148361069*lu1^4 - 11473687924529*lu1^5 + 119921789288576*lu1^6 + 68826744964940* lu1^7 - 399008763871200*lu1^8)*(g42[t] + I*g42n[t])) + 924*(5193 - 15588*lu1 - 6407746*lu1^2 - 14007012*lu1^3 + 1791528937*lu1^4 + 4538436416*lu1^5 - 94948367544*lu1^6 - 7806694400*lu1^7 + 371781656400*lu1^8)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))))/(22022*(-1 + 7*lu1 + 170*lu1^2)^3* (9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*Pi) + (5*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* ((-50 + 4*lu1)*(f44[t] - I*f44n[t]) + 7*(1 + lu1)* (g44[t] - I*g44n[t])))/(3*(3 + 32*lu1 + 20*lu1^2)*Pi) - (15*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* ((-50 + 4*lu1)*(f44[t] - I*f44n[t]) + 7*(1 + lu1)* (g44[t] - I*g44n[t])))/(11*(3 + 32*lu1 + 20*lu1^2)*Pi) + (15*mar*f20[t]^2*(4*(-5 + 64*lu1)*(f44[t] - I*f44n[t]) - (1 + 67*lu1)*(g44[t] - I*g44n[t])))/(2*(-1 + 7*lu1 + 170*lu1^2)* Pi) + (15*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (4*(-5 + 64*lu1)*(f44[t] - I*f44n[t]) - (1 + 67*lu1)* (g44[t] - I*g44n[t])))/((-1 + 7*lu1 + 170*lu1^2)*Pi) + (15*mar*f40[t]^2*(4*(-5 + 64*lu1)*(f44[t] - I*f44n[t]) - (1 + 67*lu1)*(g44[t] - I*g44n[t])))/(2*(-1 + 7*lu1 + 170*lu1^2)* Pi) + (15*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (4*(-5 + 64*lu1)*(f44[t] - I*f44n[t]) - (1 + 67*lu1)* (g44[t] - I*g44n[t])))/((-1 + 7*lu1 + 170*lu1^2)*Pi) + (15*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (4*(-5 + 64*lu1)*(f44[t] - I*f44n[t]) - (1 + 67*lu1)* (g44[t] - I*g44n[t])))/((-1 + 7*lu1 + 170*lu1^2)*Pi) - (12*mar*f20[t]^2*(4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] - I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] - I*g44n[t])))/ (11*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (2*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] - I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] - I*g44n[t])))/ (33*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (108*Sqrt[5]*mar*f20[t]*f40[t]*(4*(-17 + 323*lu1 + 16*lu1^2)* (f44[t] - I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)* (g44[t] - I*g44n[t])))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) + (30*Sqrt[3]*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (4*(-17 + 323*lu1 + 16*lu1^2)*(f44[t] - I*f44n[t]) + (16 - 115*lu1 - 293*lu1^2)*(g44[t] - I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (100*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((46 - 394*lu1 + 532*lu1^2)*(f44[t] - I*f44n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g44[t] - I*g44n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (525*mar*f40[t]^2*((47 - 1265*lu1 + 794*lu1^2)*(f44[t] - I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] - I*g44n[t])))/ (1859*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (15960*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f44[t] - I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] - I*g44n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) + (35*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((47 - 1265*lu1 + 794*lu1^2)*(f44[t] - I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] - I*g44n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (5*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] - I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] - I*g44n[t])))/ (11*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (135*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] - I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] - I*g44n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (126*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((-95 + 497*lu1 + 2374*lu1^2)*(f44[t] - I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)*(g44[t] - I*g44n[t])))/ (121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (36*Sqrt[5]*mar*f20[t]*f40[t]*((-41 - 817*lu1 + 1978*lu1^2)* (f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)* (g44[t] - I*g44n[t])))/(143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) + (1620*mar*f40[t]^2*((-41 - 817*lu1 + 1978*lu1^2)* (f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)* (g44[t] - I*g44n[t])))/(1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) - (10*Sqrt[3]*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] - I*g44n[t])))/ (143*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (1350*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] - I*g44n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) + (180*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* ((-41 - 817*lu1 + 1978*lu1^2)*(f44[t] - I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)*(g44[t] - I*g44n[t])))/ (1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)*Pi) - (30*lu1*mar*f20[t]^2*(2*(2199 - 2365*lu1 - 78146*lu1^2 + 42248*lu1^3)* (f44[t] - I*f44n[t]) + (2067 + 25594*lu1 + 7613*lu1^2 - 13322*lu1^3)*(g44[t] - I*g44n[t])))/(11*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (270*Sqrt[5]*lu1*mar*f20[t]*f40[t]* (2*(2199 - 2365*lu1 - 78146*lu1^2 + 42248*lu1^3)* (f44[t] - I*f44n[t]) + (2067 + 25594*lu1 + 7613*lu1^2 - 13322*lu1^3)*(g44[t] - I*g44n[t])))/(143*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (90*Sqrt[5]*lu1*mar*f20[t]*f40[t]* (2*(11742 - 83339*lu1 - 130117*lu1^2 + 233074*lu1^3)* (f44[t] - I*f44n[t]) + (6789 + 107456*lu1 - 68105*lu1^2 - 2236*lu1^3)*(g44[t] - I*g44n[t])))/(143*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (1575*lu1*mar*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(2*(1238 + 281*lu1 - 57809*lu1^2 + 51202*lu1^3)* (f44[t] - I*f44n[t]) + 9*(141 + 1610*lu1 + 315*lu1^2 - 722*lu1^3)* (g44[t] - I*g44n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) + (315*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*((514 + 208*lu1 - 38998*lu1^2 + 30644*lu1^3)* (f44[t] - I*f44n[t]) + 9*(27 + 284*lu1 + 99*lu1^2 + 598*lu1^3)* (g44[t] - I*g44n[t])))/(286*(-1 + 7*lu1 + 170*lu1^2)^2* (Pi + 2*lu1*Pi)) + (6*(-1 + 5*lu1)*mar*f20[t]^2* (2*(449 - 1147*lu1 - 32198*lu1^2 + 5848*lu1^3)* (f44[t] - I*f44n[t]) + (289 + 3964*lu1 + 5513*lu1^2 + 6698*lu1^3)* (g44[t] - I*g44n[t])))/(11*(3 + 4*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* Pi) - (18*Sqrt[5]*(-1 + 5*lu1)*mar*f20[t]*f40[t]* ((2162 + 37722*lu1 - 240396*lu1^2 + 74288*lu1^3)* (f44[t] - I*f44n[t]) + (2393 + 19452*lu1 + 7257*lu1^2 + 9314*lu1^3)*(g44[t] - I*g44n[t])))/(143*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (18*Sqrt[5]*(-1 + 5*lu1)*mar*f20[t]* f40[t]*(2*(1837 - 15194*lu1 - 30577*lu1^2 + 67454*lu1^3)* (f44[t] - I*f44n[t]) + (923 + 14300*lu1 - 20099*lu1^2 + 37804*lu1^3)*(g44[t] - I*g44n[t])))/(143*(3 + 4*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (15*lu1*mar*(f22[t] - I*f22n[t])* (f22[t] + I*f22n[t])*(2*(29681 - 149851*lu1 - 677814*lu1^2 - 242944*lu1^3 + 371168*lu1^4)*(f44[t] - I*f44n[t]) + (17713 + 307648*lu1 + 338451*lu1^2 - 137180*lu1^3 - 118952*lu1^4)* (g44[t] - I*g44n[t])))/(22*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (225*Sqrt[3]*lu1*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* (2*(24405 - 107631*lu1 - 602390*lu1^2 - 187312*lu1^3 + 306208*lu1^4)* (f44[t] - I*f44n[t]) + (15717 + 259344*lu1 + 277679*lu1^2 - 109868*lu1^3 - 97912*lu1^4)*(g44[t] - I*g44n[t])))/ (286*(9 + 18*lu1 + 8*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar*(f22[t] + I*f22n[t])*(f42[t] - I*f42n[t])* ((90270 + 793174*lu1 - 4278420*lu1^2 - 3681408*lu1^3 + 2465344*lu1^4)*(f44[t] - I*f44n[t]) + (73287 + 774412*lu1 + 749601*lu1^2 - 150492*lu1^3 - 43448*lu1^4)* (g44[t] - I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (225*lu1*mar*f40[t]^2* (2*(552702 - 1951955*lu1 - 16715225*lu1^2 - 3694810*lu1^3 + 23949608*lu1^4)*(f44[t] - I*f44n[t]) - 9*(-41961 - 672926*lu1 - 845703*lu1^2 + 585494*lu1^3 + 118968*lu1^4)*(g44[t] - I*g44n[t])))/(3718*(3 + 10*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (75*Sqrt[3]*lu1*mar*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (2*(112170 - 880569*lu1 - 1401191*lu1^2 + 1807046*lu1^3 + 2151184*lu1^4)*(f44[t] - I*f44n[t]) + (51603 + 1012518*lu1 + 250637*lu1^2 - 972302*lu1^3 + 143624*lu1^4)* (g44[t] - I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + ((-1 + 5*lu1)*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (2*(44109 - 107111*lu1 - 2400966*lu1^2 - 2221104*lu1^3 + 730912*lu1^4)*(f44[t] - I*f44n[t]) + (28629 + 448220*lu1 + 858699*lu1^2 + 706620*lu1^3 + 364712*lu1^4)* (g44[t] - I*g44n[t])))/(66*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (45*(-1 + 5*lu1)*mar*f40[t]^2* (2*(165861 - 488444*lu1 - 5824751*lu1^2 - 1953994*lu1^3 + 9142088*lu1^4)*(f44[t] - I*f44n[t]) + 3*(41029 + 597512*lu1 + 489525*lu1^2 - 451178*lu1^3 + 985976*lu1^4)* (g44[t] - I*g44n[t])))/(3718*(3 + 10*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (5*Sqrt[3]*(-1 + 5*lu1)*mar* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (2*(59499 - 512608*lu1 - 695481*lu1^2 + 2203686*lu1^3 + 2464112*lu1^4)*(f44[t] - I*f44n[t]) + (26793 + 495196*lu1 - 305103*lu1^2 - 216558*lu1^3 + 991432*lu1^4)* (g44[t] - I*g44n[t])))/(286*(9 + 18*lu1 + 8*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (21*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (2*(26340759 - 152800954*lu1 - 989263757*lu1^2 - 977142588*lu1^3 + 1278930644*lu1^4 + 2175876016*lu1^5 + 667455360*lu1^6)* (f44[t] - I*f44n[t]) + 5*(2214369 + 49481534*lu1 + 109155073*lu1^2 - 12243948*lu1^3 - 107545876*lu1^4 - 13625072*lu1^5)*(g44[t] - I*g44n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (2025*lu1*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (2*(1261266 - 6363777*lu1 - 36465085*lu1^2 - 17941900*lu1^3 + 57899104*lu1^4 + 42451192*lu1^5)*(f44[t] - I*f44n[t]) + 3*(220177 + 4354036*lu1 + 8461475*lu1^2 - 1462060*lu1^3 - 5366892*lu1^4 + 519984*lu1^5)*(g44[t] - I*g44n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (315*lu1*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (2*(11899278 - 74120103*lu1 - 288955939*lu1^2 + 205300944*lu1^3 + 1266738428*lu1^4 + 1080673872*lu1^5 + 222485120*lu1^6)* (f44[t] - I*f44n[t]) - 15*(-346839 - 7994460*lu1 - 18154213*lu1^2 + 484868*lu1^3 + 16558756*lu1^4 + 2725168*lu1^5)* (g44[t] - I*g44n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) + (45*(-1 + 5*lu1)*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (2*(4847715 - 21954058*lu1 - 148107965*lu1^2 - 99469140*lu1^3 + 232074200*lu1^4 + 196828408*lu1^5)*(f44[t] - I*f44n[t]) + (2800953 + 50721166*lu1 + 80566121*lu1^2 - 48913356*lu1^3 - 36070532*lu1^4 + 49126928*lu1^5)*(g44[t] - I*g44n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) - (10290*mar*f40[t]*(3*(f44[t] - I*f44n[t])* ((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*f40[t] - (-15 + 1844*lu1 + 22969*lu1^2 + 613922*lu1^3)*g40[t]) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (50*mar*f40[t]*((f44[t] - I*f44n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*f40[t] + 18*(130 + 1971*lu1 + 3338*lu1^2 - 1023*lu1^3)*g40[t]) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (1215*mar*f40[t]*((f44[t] - I*f44n[t])* (-2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] + 5*(107 + 2548*lu1 + 11591*lu1^2 - 14502*lu1^3)*g40[t]) + 8*(-1 + 219*lu1^2 + 1190*lu1^3)*f40[t]*(g44[t] - I*g44n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (90*mar*f40[t]*((f44[t] - I*f44n[t])* ((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*f40[t] + (5829 + 255026*lu1 + 1345181*lu1^2 + 5585580*lu1^3)*g40[t]) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (6615*mar*f40[t]*((f44[t] - I*f44n[t])* (-6*(21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)*f40[t] + (51 + 5830*lu1 + 34117*lu1^2 + 2152962*lu1^3)*g40[t]) + 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(31603*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (1215*mar*f40[t]*((f44[t] - I*f44n[t])* (2*(-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] + 3*(-3 - 200*lu1 + 2057*lu1^2 + 37570*lu1^3)*g40[t]) - 2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (90*mar*f40[t]*((f44[t] - I*f44n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*f40[t] + (471 + 1804*lu1 - 12521*lu1^2 + 304710*lu1^3)*g40[t]) - 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (10935*mar*f40[t]*(2*(f44[t] - I*f44n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*f40[t] - 5*(51 + 1214*lu1 + 6763*lu1^2 + 5924*lu1^3)*g40[t]) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(143143*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (6615*mar*f40[t]*(2*(f44[t] - I*f44n[t])* ((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*f40[t] + (42 + 451*lu1 - 6515*lu1^2 - 364698*lu1^3)*g40[t]) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(31603*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (10*mar*f40[t]*((f44[t] - I*f44n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*f40[t] - 630*(8 + 401*lu1 + 2600*lu1^2 + 12863*lu1^3)*g40[t]) + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)*f40[t]* (g44[t] - I*g44n[t])))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (45*lu1*mar*f40[t]*((f44[t] - I*f44n[t])* (10*(68585979 + 2627482609*lu1 - 33499451321*lu1^2 - 543106180305*lu1^3 - 3782476069430*lu1^4 - 265074961217204*lu1^ 5 - 1129038193163160*lu1^6 + 3271753133056800*lu1^7)*f40[t] + (247765893 + 22307873120*lu1 + 468161148716*lu1^2 - 6850757503170*lu1^3 - 255545544095077*lu1^4 - 1872717772921990* lu1^5 - 3639924125567100*lu1^6 + 1198441204191000*lu1^7)* g40[t]) + 170*(-135750 - 7017847*lu1 + 75710531*lu1^2 + 4027312593*lu1^3 - 659361709*lu1^4 - 583798787590*lu1^5 - 2869909591500*lu1^6 + 1979695305000*lu1^7)*f40[t]* (g44[t] - I*g44n[t])))/(347633*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar*f40[t]*((f44[t] - I*f44n[t])* (8*(9689604 + 996030743*lu1 + 4572958190*lu1^2 - 755175533175*lu1^ 3 + 492698101196*lu1^4 + 2365033380722*lu1^5 - 856620472687560*lu1^6 + 967749847659000*lu1^7)*f40[t] - (-77080953 - 4659591163*lu1 - 59733069997*lu1^2 + 1144422757107*lu1^3 + 56522965119986*lu1^4 + 532244741347700* lu1^5 + 825914012079240*lu1^6 + 196721531899200*lu1^7)* g40[t]) + 34*(-73059 - 8346932*lu1 - 35853848*lu1^2 + 7041677346*lu1^3 + 14139127111*lu1^4 - 1246614341222*lu1^5 - 3236138822700*lu1^6 + 40053356746200*lu1^7)*f40[t]* (g44[t] - I*g44n[t])))/(347633*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar*f40[t]*((f44[t] - I*f44n[t])* (16*(9689604 + 996030743*lu1 + 4572958190*lu1^2 - 755175533175*lu1^ 3 + 492698101196*lu1^4 + 2365033380722*lu1^5 - 856620472687560*lu1^6 + 967749847659000*lu1^7)*f40[t] + (-57067917 - 2149238300*lu1 + 73494504760*lu1^2 + 2449208730078*lu1^3 - 14514430918583*lu1^4 - 501926504996042* lu1^5 - 1383906338255700*lu1^6 + 6275078503684200*lu1^7)* g40[t]) - 9*(-22917979 - 1211203250*lu1 - 4837063730*lu1^2 + 473246687196*lu1^3 + 10841115408649*lu1^4 + 71925861433606* lu1^5 + 54219902871820*lu1^6 + 438321478749000*lu1^7)*f40[t]* (g44[t] - I*g44n[t])))/(695266*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (45*lu1*mar*f40[t]*((f44[t] - I*f44n[t])* (-20*(68585979 + 2627482609*lu1 - 33499451321*lu1^2 - 543106180305*lu1^3 - 3782476069430*lu1^4 - 265074961217204*lu1^ 5 - 1129038193163160*lu1^6 + 3271753133056800*lu1^7)*f40[t] + 3*(117572943 + 4662641320*lu1 - 139551955244*lu1^2 - 5560010465190*lu1^3 + 10012336710913*lu1^4 + 1252561122393190* lu1^5 + 6208774305314700*lu1^6 - 14998035237759000*lu1^7)* g40[t]) + 15*(-53473041 - 3747840148*lu1 - 36227200816*lu1^2 + 1934150674686*lu1^3 + 32085217402565*lu1^4 + 12416251096334* lu1^5 - 691380360246660*lu1^6 + 2794941793413000*lu1^7)*f40[t]* (g44[t] - I*g44n[t])))/(695266*(-1 + 7*lu1 + 170*lu1^2)^3* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (5*(-1 + 5*lu1)*mar*f40[t]*(-4*(f44[t] - I*f44n[t])* ((-13003852608 - 202638725541*lu1 + 24875787348932*lu1^2 + 218268882722658*lu1^3 - 11650626165296756*lu1^4 - 75021828598260829*lu1^5 + 315481069271864664*lu1^6 + 2938147342204978792*lu1^7 + 10210806388725616800*lu1^8 + 22012529036148529200*lu1^9)*f40[t] - (5732540091 + 200045370861*lu1 - 8405460499592*lu1^2 - 279473830441986*lu1^3 + 2239683789352787*lu1^4 + 111166214574950113*lu1^5 + 684837984348117810*lu1^6 - 5291601058258060*lu1^7 - 1048610639108957400*lu1^8 + 2751180941076472800*lu1^9)*g40[t]) + 45045*(-85869 - 3525813*lu1 + 106487782*lu1^2 + 4843764870*lu1^3 - 4660570585*lu1^4 - 1269015256553*lu1^5 - 6072009380496*lu1^6 + 44777254292744*lu1^7 + 203748569312400*lu1^8 + 199671640383600*lu1^9)*f40[t]*(g44[t] - I*g44n[t])))/ (14600586*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (45*lu1*mar*f40[t]*(20*(f44[t] - I*f44n[t])* ((-907276818 - 9071806577*lu1 + 1807124376720*lu1^2 + 6770223660234*lu1^3 - 942139054184238*lu1^4 - 4197196015360265* lu1^5 + 68220591075630504*lu1^6 - 3970746730551736*lu1^7 + 234292645609845760*lu1^8 + 728778340689529200*lu1^9)*f40[t] + (-241635093 - 8384033743*lu1 + 368523966508*lu1^2 + 11065587174550*lu1^3 - 162376634927165*lu1^4 - 5978414854285091*lu1^5 - 43518050169297746*lu1^6 - 18598884688663204*lu1^7 + 135635582073269880*lu1^8 + 122449010508115200*lu1^9)*g40[t]) - 1001*(-738171 - 27684189*lu1 + 874193954*lu1^2 + 35166333342*lu1^3 + 62564497081*lu1^4 - 7173708188329*lu1^5 - 96988009611744*lu1^6 - 79689238197560*lu1^7 + 4384650291764400* lu1^8 + 8426802815046000*lu1^9)*f40[t]*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (4116*mar*(3*(f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f42[t] + I*f42n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*( g42[t] + I*g42n[t])) + 10*(3 + 20*lu1 - 797*lu1^2 - 6970*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (4116*mar*(3*(f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f42[t] + I*f42n[t]) + 10*(3 + 20*lu1 - 797*lu1^2 - 6970*lu1^3)*( g42[t] + I*g42n[t])) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (20*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f42[t] + I*f42n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*( g42[t] + I*g42n[t])) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (20*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f42[t] + I*f42n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*( g42[t] + I*g42n[t])) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (15*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f42[t] + I*f42n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*( g42[t] + I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (54675*mar*((f44[t] - I*f44n[t])*(2*(f42[t] - I*f42n[t])* ((621 + 2704*lu1 - 8287*lu1^2 - 80030*lu1^3)*(f42[t] + I*f42n[t]) + (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*( g42[t] + I*g42n[t])) + (17 + 600*lu1 - 7923*lu1^2 - 122230*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 8*(-1 + 219*lu1^2 + 1190*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (286286*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (15*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f42[t] + I*f42n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*( g42[t] + I*g42n[t])) + (177 + 9832*lu1 - 48171*lu1^2 - 134254*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (847*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (30*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f42[t] + I*f42n[t]) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*( g42[t] + I*g42n[t])) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (6*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f42[t] + I*f42n[t]) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*( g42[t] + I*g42n[t])) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (6615*mar*((f44[t] - I*f44n[t])*(3*(f42[t] - I*f42n[t])* ((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)*(f42[t] + I*f42n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*( g42[t] + I*g42n[t])) + 2*(-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (3087*mar*((f44[t] - I*f44n[t])*(2*(f42[t] - I*f42n[t])* ((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f42[t] + I*f42n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*( g42[t] + I*g42n[t])) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 30*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (2431*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (54675*mar*((f44[t] - I*f44n[t])*(2*(f42[t] - I*f42n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f42[t] + I*f42n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*(g42[t] + I*g42n[t])) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 2*(259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (286286*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (30*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f42[t] + I*f42n[t]) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*( g42[t] + I*g42n[t])) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (6*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((8115 + 88436*lu1 + 5946467*lu1^2 - 35722890*lu1^3)*(f42[t] + I*f42n[t]) + (159 + 296*lu1 - 140149*lu1^2 - 1411410*lu1^3)*( g42[t] + I*g42n[t])) + 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (1215*mar*(2*(f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f42[t] + I*f42n[t]) - (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*( g42[t] + I*g42n[t])) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) + (1215*mar*(2*(f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)*(f42[t] + I*f42n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)*(g42[t] + I*g42n[t])) - (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (-17 - 600*lu1 + 7923*lu1^2 + 122230*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (26026*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (6615*mar*(2*(f44[t] - I*f44n[t])*(3*(f42[t] - I*f42n[t])* ((21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)*(f42[t] + I*f42n[t]) - 5*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*( g42[t] + I*g42n[t])) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (3087*mar*(2*(f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f42[t] + I*f42n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*( g42[t] + I*g42n[t])) - 15*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 3*(15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (2431*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*(f42[t] + I*f42n[t]) - 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*( g42[t] + I*g42n[t])) - 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)*(f42[t] + I*f42n[t]) - 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*( g42[t] + I*g42n[t])) - 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (-159 - 296*lu1 + 140149*lu1^2 + 1411410*lu1^3)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (143*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) + (225*lu1*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* (4*(147174 - 7511909*lu1 - 408702676*lu1^2 - 9115568069*lu1^3 - 48326978532*lu1^4 + 268430206716*lu1^5)*(f42[t] + I*f42n[t]) + (725199 + 32619905*lu1 - 570656927*lu1^2 - 34703862565*lu1^3 - 279707732136*lu1^4 + 464981253660*lu1^5)*( g42[t] + I*g42n[t])) - 7*(93177 + 6502403*lu1 + 141649495*lu1^2 + 85965929*lu1^3 - 10176246528*lu1^4 + 74943118404*lu1^5)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 204*(-66 + 19405*lu1 + 236368*lu1^2 - 7395355*lu1^3 - 49121716*lu1^4 + 284036340*lu1^5)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4862*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (15*(-1 + 5*lu1)*mar* ((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* (4*(146325 - 11299291*lu1 - 285358157*lu1^2 - 2499878449*lu1^3 - 265058351544*lu1^4 + 308209338108*lu1^5)*(f42[t] + I*f42n[t]) + 3*(292749 + 10764875*lu1 - 304315277*lu1^2 - 11061918055*lu1^3 - 39604717656*lu1^4 + 66424063860*lu1^5)*( g42[t] + I*g42n[t])) - (520887 + 27868115*lu1 + 885973237*lu1^2 + 22323497573*lu1^3 + 123399558408*lu1^4 + 311201177364*lu1^5)*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + 204*(-33 + 24245*lu1 + 192489*lu1^2 - 14854785*lu1^3 - 2333128*lu1^4 + 1408886220*lu1^5)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4862*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (225*lu1*mar*((f44[t] - I*f44n[t])* ((f42[t] - I*f42n[t])*(4*(147174 - 7511909*lu1 - 408702676*lu1^2 - 9115568069*lu1^3 - 48326978532*lu1^4 + 268430206716*lu1^5)*( f42[t] + I*f42n[t]) + (725199 + 32619905*lu1 - 570656927* lu1^2 - 34703862565*lu1^3 - 279707732136*lu1^4 + 464981253660*lu1^5)*(g42[t] + I*g42n[t])) + 204*(-66 + 19405*lu1 + 236368*lu1^2 - 7395355*lu1^3 - 49121716*lu1^4 + 284036340*lu1^5)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) - 7*(93177 + 6502403*lu1 + 141649495*lu1^2 + 85965929*lu1^3 - 10176246528*lu1^4 + 74943118404*lu1^5)*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t])))/(4862*(-1 + 7*lu1 + 170*lu1^2)^2* (-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) + (15*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* (4*(-146325 + 11299291*lu1 + 285358157*lu1^2 + 2499878449* lu1^3 + 265058351544*lu1^4 - 308209338108*lu1^5)*(f42[t] + I*f42n[t]) + 3*(-292749 - 10764875*lu1 + 304315277*lu1^2 + 11061918055*lu1^3 + 39604717656*lu1^4 - 66424063860*lu1^5)*( g42[t] + I*g42n[t])) - 204*(-33 + 24245*lu1 + 192489*lu1^2 - 14854785*lu1^3 - 2333128*lu1^4 + 1408886220*lu1^5)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) + (520887 + 27868115*lu1 + 885973237*lu1^2 + 22323497573*lu1^3 + 123399558408*lu1^4 + 311201177364*lu1^5)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4862*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 - 97*lu1 + 3528*lu1^2 + 97020*lu1^3)*Pi) - (5*(-1 + 5*lu1)*mar* ((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])*(-8*(-5138930637 - 150499098036*lu1 + 7179609123700*lu1^2 + 192475833959508* lu1^3 - 562320363376117*lu1^4 - 32568791274255020*lu1^5 - 70021178558913330*lu1^6 + 555215319741977636*lu1^7 + 6337068578028397944*lu1^8 + 12385422839255059440*lu1^9)*( f42[t] + I*f42n[t]) + 3*(8248830039 + 349427276337*lu1 - 9356875794794*lu1^2 - 472320065020758*lu1^3 - 1878561647721421*lu1^4 + 66014975197445005*lu1^5 + 549684298582038240*lu1^6 + 112146232128063800*lu1^7 - 1403326191488520432*lu1^8 + 444684433556396880*lu1^9)*( g42[t] + I*g42n[t])) + 68*(10140129 + 255924405*lu1 - 17698527670*lu1^2 - 233315311254*lu1^3 + 10036095168013*lu1^4 + 54211680037097*lu1^5 - 1567693596779208*lu1^6 - 7172940355065944*lu1^7 + 46360950530161680*lu1^8 + 115580383513333200*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) + 27027*(-149913 - 6445485*lu1 + 179337694*lu1^2 + 8937769542*lu1^3 - 616745509*lu1^4 - 2370950963153*lu1^5 - 12045165707376*lu1^6 + 84707286489800* lu1^7 + 389999237115600*lu1^8 + 382175993430000*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (14600586*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (5*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])*(-4*(f42[t] - I*f42n[t])* (2*(-5138930637 - 150499098036*lu1 + 7179609123700*lu1^2 + 192475833959508*lu1^3 - 562320363376117*lu1^4 - 32568791274255020*lu1^5 - 70021178558913330*lu1^6 + 555215319741977636*lu1^7 + 6337068578028397944*lu1^8 + 12385422839255059440*lu1^9)*(f42[t] + I*f42n[t]) - 17*(10140129 + 255924405*lu1 - 17698527670*lu1^2 - 233315311254*lu1^3 + 10036095168013*lu1^4 + 54211680037097* lu1^5 - 1567693596779208*lu1^6 - 7172940355065944*lu1^7 + 46360950530161680*lu1^8 + 115580383513333200*lu1^9)*(g42[t] + I*g42n[t])) + 3*(8248830039 + 349427276337*lu1 - 9356875794794*lu1^2 - 472320065020758*lu1^3 - 1878561647721421* lu1^4 + 66014975197445005*lu1^5 + 549684298582038240*lu1^6 + 112146232128063800*lu1^7 - 1403326191488520432*lu1^8 + 444684433556396880*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) + 27027*(-149913 - 6445485*lu1 + 179337694*lu1^2 + 8937769542*lu1^3 - 616745509*lu1^4 - 2370950963153*lu1^5 - 12045165707376*lu1^6 + 84707286489800* lu1^7 + 389999237115600*lu1^8 + 382175993430000*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (14600586*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (15*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])*(2*(f42[t] - I*f42n[t])* (2*(3586020003 + 135420526626*lu1 - 4322596040750*lu1^2 - 147068421602556*lu1^3 + 714475795473647*lu1^4 + 15524133411736522*lu1^5 - 98988588241090380*lu1^6 - 64256518329431176*lu1^7 + 612967545162188160*lu1^8 + 140926878883123200*lu1^9)*(f42[t] + I*f42n[t]) + 3*(1280328507 + 59082048797*lu1 - 845500720002*lu1^2 - 58236467109430*lu1^3 - 510289668816785*lu1^4 + 3107967216336289*lu1^5 + 45804502845235544*lu1^6 + 17003290343218616*lu1^7 - 65430535413657680*lu1^8 + 121353459282963600*lu1^9)*(g42[t] + I*g42n[t])) - 1001*(242127 + 4866003*lu1 - 429366002*lu1^2 - 5528353818*lu1^3 + 168599601731*lu1^4 + 1182393971407*lu1^5 - 16241880872880*lu1^ 6 - 68529347760952*lu1^7 + 436707762699600*lu1^8 + 1004372487241200*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) - 136*(492273 + 36381132*lu1 - 185518882*lu1^2 - 38631339216*lu1^3 - 27001962803*lu1^4 + 8393423020532*lu1^5 + 25138929897852*lu1^6 - 302454863337320* lu1^7 - 175479239510400*lu1^8 + 625507546860000*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (225*lu1*mar*((f44[t] - I*f44n[t])*((f42[t] - I*f42n[t])* (4*(-1145614449 - 22237602029*lu1 + 1961619576618*lu1^2 + 24713382018102*lu1^3 - 557190086155485*lu1^4 - 663236282065433*lu1^5 + 26167309372240932*lu1^6 - 74237778288989824*lu1^7 + 247138955688433984*lu1^8 + 856719243182196240*lu1^9)*(f42[t] + I*f42n[t]) - (1368932973 + 61124055889*lu1 - 1526262882862*lu1^2 - 89912752637198*lu1^3 - 594979531812807*lu1^4 + 12189416340885445*lu1^5 + 107044245824544760*lu1^6 + 25072761319829672*lu1^7 - 186685275653370928*lu1^8 + 134615927607989520*lu1^9)*(g42[t] + I*g42n[t])) + 68*(633114 + 718131*lu1 - 1654808640*lu1^2 - 8395748702*lu1^3 + 870470976734*lu1^4 + 2452413293515*lu1^5 - 128737196741792*lu1^ 6 - 349496081037832*lu1^7 + 4932198070747360*lu1^8 + 10466320009714800*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) - 1001*(-170811 - 6393159*lu1 + 203171674*lu1^2 + 8128453362*lu1^3 + 13137826241*lu1^4 - 1666771869779*lu1^5 - 22037863636944*lu1^6 - 16343209081000* lu1^7 + 995742393836400*lu1^8 + 1907150809410000*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (225*lu1*mar*((f44[t] - I*f44n[t])*(4*(f42[t] - I*f42n[t])* ((-1145614449 - 22237602029*lu1 + 1961619576618*lu1^2 + 24713382018102*lu1^3 - 557190086155485*lu1^4 - 663236282065433*lu1^5 + 26167309372240932*lu1^6 - 74237778288989824*lu1^7 + 247138955688433984*lu1^8 + 856719243182196240*lu1^9)*(f42[t] + I*f42n[t]) + 17*(633114 + 718131*lu1 - 1654808640*lu1^2 - 8395748702*lu1^3 + 870470976734*lu1^4 + 2452413293515*lu1^5 - 128737196741792* lu1^6 - 349496081037832*lu1^7 + 4932198070747360*lu1^8 + 10466320009714800*lu1^9)*(g42[t] + I*g42n[t])) - (1368932973 + 61124055889*lu1 - 1526262882862*lu1^2 - 89912752637198*lu1^3 - 594979531812807*lu1^4 + 12189416340885445*lu1^5 + 107044245824544760*lu1^6 + 25072761319829672*lu1^7 - 186685275653370928*lu1^8 + 134615927607989520*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) - 1001*(-170811 - 6393159*lu1 + 203171674*lu1^2 + 8128453362*lu1^3 + 13137826241*lu1^4 - 1666771869779*lu1^5 - 22037863636944*lu1^6 - 16343209081000* lu1^7 + 995742393836400*lu1^8 + 1907150809410000*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (225*lu1*mar*((f44[t] - I*f44n[t])*(2*(f42[t] - I*f42n[t])* (2*(-3100211541 - 81957828597*lu1 + 3998632710826*lu1^2 + 66917461770438*lu1^3 - 625825654098961*lu1^4 + 754773493050415*lu1^5 + 13388200371887292*lu1^6 - 60170044727833840*lu1^7 - 56983675956839520*lu1^8 + 96485766072670800*lu1^9)*(f42[t] + I*f42n[t]) - 3*(788047563 + 44541722303*lu1 - 281675408214*lu1^2 - 44464668025786*lu1^3 - 461596079969753*lu1^4 + 3229943947949947*lu1^5 + 31514873250380804*lu1^6 - 34456038068191984*lu1^7 - 33014934554960960*lu1^8 + 255317958592342800*lu1^9)*(g42[t] + I*g42n[t])) + 1001*(741681 + 24560883*lu1 - 1101797558*lu1^2 - 33074094738*lu1^ 3 + 275214789221*lu1^4 + 8922369922135*lu1^5 - 4754969749440*lu1^6 - 449136300495544*lu1^7 + 353546542969200* lu1^8 + 2333617288556400*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) - 136*(-707634 - 26886681*lu1 + 616104236*lu1^2 + 19505350698*lu1^3 - 42062646926*lu1^4 - 3226758894361*lu1^5 - 28415557282596*lu1^6 - 19957797275840* lu1^7 + 1191439727814000*lu1^8 + 2192669736138000*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (15*(-1 + 5*lu1)*mar*((f44[t] - I*f44n[t])*(4*(f42[t] - I*f42n[t])* ((3586020003 + 135420526626*lu1 - 4322596040750*lu1^2 - 147068421602556*lu1^3 + 714475795473647*lu1^4 + 15524133411736522*lu1^5 - 98988588241090380*lu1^6 - 64256518329431176*lu1^7 + 612967545162188160*lu1^8 + 140926878883123200*lu1^9)*(f42[t] + I*f42n[t]) - 34*(492273 + 36381132*lu1 - 185518882*lu1^2 - 38631339216* lu1^3 - 27001962803*lu1^4 + 8393423020532*lu1^5 + 25138929897852*lu1^6 - 302454863337320*lu1^7 - 175479239510400*lu1^8 + 625507546860000*lu1^9)*(g42[t] + I*g42n[t])) - 1001*(242127 + 4866003*lu1 - 429366002*lu1^2 - 5528353818*lu1^3 + 168599601731*lu1^4 + 1182393971407*lu1^5 - 16241880872880*lu1^6 - 68529347760952*lu1^7 + 436707762699600* lu1^8 + 1004372487241200*lu1^9)*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t])) + 6*(1280328507 + 59082048797*lu1 - 845500720002*lu1^2 - 58236467109430*lu1^3 - 510289668816785* lu1^4 + 3107967216336289*lu1^5 + 45804502845235544*lu1^6 + 17003290343218616*lu1^7 - 65430535413657680*lu1^8 + 121353459282963600*lu1^9)*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (225*lu1*mar*((f44[t] - I*f44n[t])*(4*(f42[t] - I*f42n[t])* ((-3100211541 - 81957828597*lu1 + 3998632710826*lu1^2 + 66917461770438*lu1^3 - 625825654098961*lu1^4 + 754773493050415*lu1^5 + 13388200371887292*lu1^6 - 60170044727833840*lu1^7 - 56983675956839520*lu1^8 + 96485766072670800*lu1^9)*(f42[t] + I*f42n[t]) - 34*(-707634 - 26886681*lu1 + 616104236*lu1^2 + 19505350698* lu1^3 - 42062646926*lu1^4 - 3226758894361*lu1^5 - 28415557282596*lu1^6 - 19957797275840*lu1^7 + 1191439727814000*lu1^8 + 2192669736138000*lu1^9)*(g42[t] + I*g42n[t])) + 1001*(741681 + 24560883*lu1 - 1101797558*lu1^ 2 - 33074094738*lu1^3 + 275214789221*lu1^4 + 8922369922135*lu1^5 - 4754969749440*lu1^6 - 449136300495544*lu1^ 7 + 353546542969200*lu1^8 + 2333617288556400*lu1^9)* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t])) - 6*(788047563 + 44541722303*lu1 - 281675408214*lu1^2 - 44464668025786*lu1^3 - 461596079969753*lu1^4 + 3229943947949947* lu1^5 + 31514873250380804*lu1^6 - 34456038068191984*lu1^7 - 33014934554960960*lu1^8 + 255317958592342800*lu1^9)* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))/ (4866862*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (11025*lu1*mar*(f44[t] - I*f44n[t])*((f44[t] - I*f44n[t])* (4*(-5369 - 80347*lu1 - 290000*lu1^2 + 3648516*lu1^3)* (f44[t] + I*f44n[t]) + (-7309 - 399806*lu1 - 3772399*lu1^2 + 5307834*lu1^3)*(g44[t] + I*g44n[t])) + (2329 - 14794*lu1 + 299395*lu1^2 - 5499282*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (2431*(-1 + 7*lu1 + 170*lu1^2)^2*(Pi + 42*lu1*Pi)) - (147*mar*(f44[t] - I*f44n[t])*(3*(f44[t] - I*f44n[t])* ((42 + 3926*lu1 - 325800*lu1^2 + 2641512*lu1^3)* (f44[t] + I*f44n[t]) - (15 + 2044*lu1 + 14999*lu1^2 + 544222*lu1^3)*(g44[t] + I*g44n[t])) + 2*(42 + 451*lu1 - 6515*lu1^2 - 364698*lu1^3)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) + (10*mar*(f44[t] - I*f44n[t])*((f44[t] - I*f44n[t])* ((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)* (f44[t] + I*f44n[t]) + 6*(387 + 5923*lu1 + 10601*lu1^2 - 1199*lu1^3)*(g44[t] + I*g44n[t])) + (195 + 9772*lu1 - 51693*lu1^2 - 145474*lu1^3)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(121*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) + (10*mar*(f44[t] - I*f44n[t])* ((f44[t] - I*f44n[t])*((9051 - 61028*lu1 - 93933*lu1^2 + 276854*lu1^3)*(f44[t] + I*f44n[t]) - 6*(-3 + 10*lu1 + 587*lu1^2 + 1870*lu1^3)*(g44[t] + I*g44n[t])) + (2499 + 45370*lu1 + 15435*lu1^2 - 141448*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (121*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Pi) - (735*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])* ((f44[t] - I*f44n[t])*(8*(-1229 - 18607*lu1 - 1802450*lu1^2 + 2003136*lu1^3)*(f44[t] + I*f44n[t]) + (-10177 - 469154*lu1 - 1694359*lu1^2 + 2431002*lu1^3)* (g44[t] + I*g44n[t])) - (1507 + 233276*lu1 + 1979323*lu1^2 + 4758*lu1^3)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (2431*(-1 + 7*lu1 + 170*lu1^2)^2*(Pi + 42*lu1*Pi)) - (1215*mar*(f44[t] - I*f44n[t])*(2*(f44[t] - I*f44n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)* (f44[t] + I*f44n[t]) - 4*(-1 + 219*lu1^2 + 1190*lu1^3)* (g44[t] + I*g44n[t])) + 5*(-107 - 2548*lu1 - 11591*lu1^2 + 14502*lu1^3)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (1215*mar*(f44[t] - I*f44n[t])*(2*(f44[t] - I*f44n[t])* ((-621 - 2704*lu1 + 8287*lu1^2 + 80030*lu1^3)* (f44[t] + I*f44n[t]) - (259 + 6070*lu1 + 32939*lu1^2 + 24860*lu1^3)*(g44[t] + I*g44n[t])) + 3*(-3 - 200*lu1 + 2057*lu1^2 + 37570*lu1^3)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(20449*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (2*mar*(f44[t] - I*f44n[t])*((f44[t] - I*f44n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)* (f44[t] + I*f44n[t]) - 210*(27 + 1213*lu1 + 7073*lu1^2 + 33319*lu1^3)*(g44[t] + I*g44n[t])) + (471 + 1804*lu1 - 12521*lu1^2 + 304710*lu1^3)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (13230*mar*(f44[t] - I*f44n[t])* (2*(f44[t] - I*f44n[t])*((63 + 5889*lu1 - 488700*lu1^2 + 3962268*lu1^3)*(f44[t] + I*f44n[t]) + (-3 + 151*lu1 + 5440*lu1^2 - 260148*lu1^3)*(g44[t] + I*g44n[t])) - 3*(-15 + 1844*lu1 + 22969*lu1^2 + 613922*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (2431*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (147*mar*(f44[t] - I*f44n[t])*(6*(f44[t] - I*f44n[t])* ((21 + 1963*lu1 - 162900*lu1^2 + 1320756*lu1^3)* (f44[t] + I*f44n[t]) - 5*(-3 - 20*lu1 + 797*lu1^2 + 6970*lu1^3)* (g44[t] + I*g44n[t])) - (51 + 5830*lu1 + 34117*lu1^2 + 2152962*lu1^3)*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (347633*(3 - 58*lu1 - 7097*lu1^2 + 54212*lu1^3 + 1163820*lu1^4)*Pi) - (2*mar*(f44[t] - I*f44n[t])*((f44[t] - I*f44n[t])* ((-8115 - 88436*lu1 - 5946467*lu1^2 + 35722890*lu1^3)* (f44[t] + I*f44n[t]) - 210*(-3 - 10*lu1 + 727*lu1^2 + 5270*lu1^3)*(g44[t] + I*g44n[t])) - (5829 + 255026*lu1 + 1345181*lu1^2 + 5585580*lu1^3)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (1573*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*Pi) - (225*lu1*mar*(f44[t] - I*f44n[t])*(4*(f44[t] - I*f44n[t])* ((444985107 + 10066165987*lu1 - 716235364650*lu1^2 - 10695950652090*lu1^3 + 216688783245399*lu1^4 + 1490584922887231*lu1^5 - 11763054543211440*lu1^6 - 50820836041854712*lu1^7 + 45126897988435984*lu1^8 + 250760145311597040*lu1^9)*(f44[t] + I*f44n[t]) + 17*(283518 + 3650853*lu1 - 591729480*lu1^2 - 4196081282*lu1^3 + 311565315914*lu1^4 + 1313221320973*lu1^5 - 47939062123448*lu1^ 6 - 204905654901832*lu1^7 + 1441221532024960*lu1^8 + 3185256250654800*lu1^9)*(g44[t] + I*g44n[t])) + (564700053 + 26621707151*lu1 - 505311829318*lu1^2 - 33083718655978*lu1^3 - 179353298033431*lu1^4 + 5593345017649923* lu1^5 + 53381660675684168*lu1^6 + 40296860043676632*lu1^7 - 361335843132060272*lu1^8 - 569767786596235920*lu1^9)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (695266*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (225*lu1*mar*(f44[t] - I*f44n[t])*((f44[t] - I*f44n[t])* (4*(444985107 + 10066165987*lu1 - 716235364650*lu1^2 - 10695950652090*lu1^3 + 216688783245399*lu1^4 + 1490584922887231*lu1^5 - 11763054543211440*lu1^6 - 50820836041854712*lu1^7 + 45126897988435984*lu1^8 + 250760145311597040*lu1^9)*(f44[t] + I*f44n[t]) + (573150495 + 26703689051*lu1 - 531447799178*lu1^2 - 33323209059130*lu1^3 - 155667185429277*lu1^4 + 5799224330284919*lu1^5 + 47114877976563224*lu1^6 + 3011216492969080*lu1^7 - 68023165886472272*lu1^8 + 113341732426895280*lu1^9)*(g44[t] + I*g44n[t])) - 2*(-5414391 - 83138052*lu1 + 7050817390*lu1^2 + 22921562012*lu1^3 + 1249835561001*lu1^4 + 58290131404416*lu1^5 - 1503463237363240* lu1^6 - 11676029508691488*lu1^7 + 97654806533945360*lu1^8 + 233256046989302400*lu1^9)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(695266*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (5*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])* (4*(f44[t] - I*f44n[t])*((7875965430 + 179661636009*lu1 - 13003591945084*lu1^2 - 199568025739950*lu1^3 + 4316263789177558*lu1^4 + 33242705682518309*lu1^5 - 318893639733202680*lu1^6 - 1010921996490134792*lu1^7 + 3459609091025131968*lu1^8 + 6028486584826038480*lu1^9)* (f44[t] + I*f44n[t]) - 17*(266499 + 8299521*lu1 - 355683346*lu1^2 - 6554376438*lu1^3 + 136751456431*lu1^4 - 792490769059*lu1^5 - 31558411306944*lu1^6 + 461736360520600*lu1^ 7 + 5999371459840080*lu1^8 + 6295810451086800*lu1^9)* (g44[t] + I*g44n[t])) - 3*(-3760644789 - 156589324935*lu1 + 4093395485158*lu1^2 + 196774671313578*lu1^3 + 424480600607687* lu1^4 - 36796539656382827*lu1^5 - 273676063082864952*lu1^6 + 126475954732777160*lu1^7 + 1556739955727155248*lu1^8 + 813536459558056080*lu1^9)*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t])))/(2085798*(-1 + 7*lu1 + 170*lu1^2)^3* (9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) + (5*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])* ((f44[t] - I*f44n[t])*(4*(7875965430 + 179661636009*lu1 - 13003591945084*lu1^2 - 199568025739950*lu1^3 + 4316263789177558*lu1^4 + 33242705682518309*lu1^5 - 318893639733202680*lu1^6 - 1010921996490134792*lu1^7 + 3459609091025131968*lu1^8 + 6028486584826038480*lu1^9)* (f44[t] + I*f44n[t]) + 3*(3355888437 + 140312476347*lu1 - 3586640964886*lu1^2 - 174573596649810*lu1^3 - 450323162008343* lu1^4 + 31066817501894495*lu1^5 + 245063050541311512*lu1^6 + 64971223898123032*lu1^7 - 550468744831804848*lu1^8 + 293809695321708720*lu1^9)*(g44[t] + I*g44n[t])) - 4*(-299036781 - 12066544584*lu1 + 374019273322*lu1^2 + 16539381598380*lu1^3 - 17057146291165*lu1^4 - 4310763958940252* lu1^5 - 21996252398383128*lu1^6 + 151434902102025344*lu1^7 + 856692722988794160*lu1^8 + 937538393828299200*lu1^9)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])))/ (2085798*(-1 + 7*lu1 + 170*lu1^2)^3*(9 + 252*lu1 - 11959*lu1^2 - 248882*lu1^3 + 1395324*lu1^4 + 3686760*lu1^5)*Pi) - (100*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])^2* ((46 - 394*lu1 + 532*lu1^2)*(f44[t] + I*f44n[t]) + (13 + 215*lu1 - 284*lu1^2)*(g44[t] + I*g44n[t])))/ (3*(-1 + 7*lu1 + 170*lu1^2)^2*Pi) - (35*mar*(f44[t] - I*f44n[t])^2* ((47 - 1265*lu1 + 794*lu1^2)*(f44[t] + I*f44n[t]) + 9*(-3 + lu1 + 58*lu1^2)*(g44[t] + I*g44n[t])))/ (20449*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*Pi) - (126*mar*(f44[t] - I*f44n[t])^2*((-95 + 497*lu1 + 2374*lu1^2)* (f44[t] + I*f44n[t]) + 7*(-5 - 61*lu1 + 106*lu1^2)* (g44[t] + I*g44n[t])))/(121*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)* Pi) - (180*mar*(f44[t] - I*f44n[t])^2*((-41 - 817*lu1 + 1978*lu1^2)* (f44[t] + I*f44n[t]) + 2*(-31 - 209*lu1 + 632*lu1^2)* (g44[t] + I*g44n[t])))/(1859*(-3 + 17*lu1 + 538*lu1^2 + 680*lu1^3)* Pi) - (21*(-1 + 5*lu1)*mar*(f44[t] - I*f44n[t])^2* (2*(26340759 - 152800954*lu1 - 989263757*lu1^2 - 977142588*lu1^3 + 1278930644*lu1^4 + 2175876016*lu1^5 + 667455360*lu1^6)* (f44[t] + I*f44n[t]) + 5*(2214369 + 49481534*lu1 + 109155073*lu1^2 - 12243948*lu1^3 - 107545876*lu1^4 - 13625072*lu1^5)*(g44[t] + I*g44n[t])))/ (40898*(-1 + 7*lu1 + 170*lu1^2)^2*(9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)* Pi) + (315*lu1*mar*(f44[t] - I*f44n[t])^2* (2*(11899278 - 74120103*lu1 - 288955939*lu1^2 + 205300944*lu1^3 + 1266738428*lu1^4 + 1080673872*lu1^5 + 222485120*lu1^6)* (f44[t] + I*f44n[t]) - 15*(-346839 - 7994460*lu1 - 18154213*lu1^2 + 484868*lu1^3 + 16558756*lu1^4 + 2725168*lu1^5)* (g44[t] + I*g44n[t])))/(40898*(-1 + 7*lu1 + 170*lu1^2)^2* (9 + 36*lu1 + 44*lu1^2 + 16*lu1^3)*Pi) + (mar*(13029068316384*Sqrt[70]*f40[t]*(f42[t] + I*f42n[t])^2 - 873719313458040*Sqrt[70]*lu1*f40[t]*(f42[t] + I*f42n[t])^2 - 27782776684074708*Sqrt[70]*lu1^2*f40[t]*(f42[t] + I*f42n[t])^2 + 2153824801853917824*Sqrt[70]*lu1^3*f40[t]*(f42[t] + I*f42n[t])^2 + 3862558683574128756*Sqrt[70]*lu1^4*f40[t]*(f42[t] + I*f42n[t])^2 - 666465513692529621672*Sqrt[70]*lu1^5*f40[t]*(f42[t] + I*f42n[t])^ 2 - 1390207085469450342972*Sqrt[70]*lu1^6*f40[t]* (f42[t] + I*f42n[t])^2 + 28715838755497390974960*Sqrt[70]*lu1^7* f40[t]*(f42[t] + I*f42n[t])^2 + 215843794067956913990028*Sqrt[70]* lu1^8*f40[t]*(f42[t] + I*f42n[t])^2 - 463115549236113338062608* Sqrt[70]*lu1^9*f40[t]*(f42[t] + I*f42n[t])^2 - 1733717876446403153058960*Sqrt[70]*lu1^10*f40[t]* (f42[t] + I*f42n[t])^2 - 10524119397385509858596544*Sqrt[70]* lu1^11*f40[t]*(f42[t] + I*f42n[t])^2 - 50903355276638589431913408* Sqrt[70]*lu1^12*f40[t]*(f42[t] + I*f42n[t])^2 - 85563759105424499524381440*Sqrt[70]*lu1^13*f40[t]* (f42[t] + I*f42n[t])^2 - 54729218863528699356921600*Sqrt[70]* lu1^14*f40[t]*(f42[t] + I*f42n[t])^2 - 11637608878678948421760000* Sqrt[70]*lu1^15*f40[t]*(f42[t] + I*f42n[t])^2 + 84262164176610*f40[t]^2*(f44[t] + I*f44n[t]) + 4599414907471440*lu1* f40[t]^2*(f44[t] + I*f44n[t]) - 466488349862400810*lu1^2*f40[t]^2* (f44[t] + I*f44n[t]) - 8520580024370294580*lu1^3*f40[t]^2* (f44[t] + I*f44n[t]) + 403731277656722359470*lu1^4*f40[t]^2* (f44[t] + I*f44n[t]) - 3082068052787216115000*lu1^5*f40[t]^2* (f44[t] + I*f44n[t]) + 45822371769024912792570*lu1^6*f40[t]^2* (f44[t] + I*f44n[t]) + 952908591027001588752780*lu1^7*f40[t]^2* (f44[t] + I*f44n[t]) - 12448044958365330299230560*lu1^8*f40[t]^2* (f44[t] + I*f44n[t]) - 3582251704123030867230960*lu1^9*f40[t]^2* (f44[t] + I*f44n[t]) + 188858781461360533641101760*lu1^10*f40[t]^2* (f44[t] + I*f44n[t]) + 255715196926445019336377280*lu1^11*f40[t]^2* (f44[t] + I*f44n[t]) - 371735290087386095356416000*lu1^12*f40[t]^2* (f44[t] + I*f44n[t]) - 886182889344749415152160000*lu1^13*f40[t]^2* (f44[t] + I*f44n[t]) - 513530896213138038266304000*lu1^14*f40[t]^2* (f44[t] + I*f44n[t]) - 84730004799808789451520000*lu1^15*f40[t]^2* (f44[t] + I*f44n[t]) + 21485261020860*Sqrt[3]*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 2306026212153300* Sqrt[3]*lu1*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t]) + 19167674085132300*Sqrt[3]*lu1^2* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 3871340734922469900*Sqrt[3]*lu1^3*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 101453617184935267980* Sqrt[3]*lu1^4*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t]) + 926051060861466327060*Sqrt[3]*lu1^5* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 11120501235552614052420*Sqrt[3]*lu1^6*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 614608885336747847686140*Sqrt[3]*lu1^7*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 846637511900638800451200*Sqrt[3]*lu1^8*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 40019991137547273991123440*Sqrt[3]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 95682531085695496209146880*Sqrt[3]*lu1^10*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 132077946082971184633122240*Sqrt[3]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 93027423485784462971412480*Sqrt[3]*lu1^12*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 851413142965025753358355200*Sqrt[3]*lu1^13*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 871853943110084983321728000*Sqrt[3]*lu1^14*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 96515627847219085639680000*Sqrt[3]*lu1^15*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 350931284782596* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 3033240573469680*lu1*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t]) - 1321935573301847532*lu1^2* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 13112387177214260376*lu1^3*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 861538376883482521524* lu1^4*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t]) - 15494653297269846933408*lu1^5* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 72181844341477520783532*lu1^6*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 2307838924630966651155000*lu1^7*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 21874276799779263802600728*lu1^8*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 13648121097551648467338432*lu1^9*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 353445512652471423139378080*lu1^10*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 364092722289492900652402944*lu1^11*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 1456117554047712442759619712*lu1^12*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 2970258406165441823645660160*lu1^13*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 1793270856515677867529510400*lu1^14*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) - 332386533901122856807680000*lu1^15*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t]) + 654942878831556* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 - 23420024554157280* lu1*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 - 1970200362596924052*lu1^2*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^ 2 + 63368299220472342936*lu1^3*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 + 951664746166878859164*lu1^4* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 - 31045515283428871439088*lu1^5*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 + 39743679013857012780852*lu1^6* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 + 2977875162259239107237400*lu1^7*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 - 16837921604860269142833408*lu1^8* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 - 24454150579727626355465952*lu1^9*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 + 312992095535388682901335680*lu1^10* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 + 118529936350497670618483584*lu1^11*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 - 2643862510502612862837599232*lu1^12* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 - 4966746118625346812547893760*lu1^13*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 - 3070285963331347519191014400*lu1^14* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])^2 - 603930741070298319982080000*lu1^15*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])^2 - 2211392606085*Sqrt[14]* (f42[t] + I*f42n[t])^2*g20[t] + 108400613392890*Sqrt[14]*lu1* (f42[t] + I*f42n[t])^2*g20[t] + 5426463354075270*Sqrt[14]*lu1^2* (f42[t] + I*f42n[t])^2*g20[t] - 244091497548763800*Sqrt[14]*lu1^3* (f42[t] + I*f42n[t])^2*g20[t] - 3522649126568375700*Sqrt[14]*lu1^4* (f42[t] + I*f42n[t])^2*g20[t] + 111310182472050455400*Sqrt[14]* lu1^5*(f42[t] + I*f42n[t])^2*g20[t] + 2125576862900856535950* Sqrt[14]*lu1^6*(f42[t] + I*f42n[t])^2*g20[t] - 11708654880252723939000*Sqrt[14]*lu1^7*(f42[t] + I*f42n[t])^2* g20[t] - 359179251559427212181775*Sqrt[14]*lu1^8* (f42[t] + I*f42n[t])^2*g20[t] - 1861806900320559407831850*Sqrt[14]* lu1^9*(f42[t] + I*f42n[t])^2*g20[t] - 3786017826901566433692060* Sqrt[14]*lu1^10*(f42[t] + I*f42n[t])^2*g20[t] + 1707598217839324276173240*Sqrt[14]*lu1^11*(f42[t] + I*f42n[t])^2* g20[t] + 8350513608486122530956720*Sqrt[14]*lu1^12* (f42[t] + I*f42n[t])^2*g20[t] - 10330587316609203930156000* Sqrt[14]*lu1^13*(f42[t] + I*f42n[t])^2*g20[t] - 8693158707915490206216000*Sqrt[14]*lu1^14*(f42[t] + I*f42n[t])^2* g20[t] + 13551303734593755071760000*Sqrt[14]*lu1^15* (f42[t] + I*f42n[t])^2*g20[t] - 32039128815876*Sqrt[5]*f40[t]* (f44[t] + I*f44n[t])*g20[t] + 980992936863576*Sqrt[5]*lu1*f40[t]* (f44[t] + I*f44n[t])*g20[t] + 96380193721940856*Sqrt[5]*lu1^2* f40[t]*(f44[t] + I*f44n[t])*g20[t] - 1986704663670391392*Sqrt[5]* lu1^3*f40[t]*(f44[t] + I*f44n[t])*g20[t] - 74796203404495761552* Sqrt[5]*lu1^4*f40[t]*(f44[t] + I*f44n[t])*g20[t] + 735205576106212323840*Sqrt[5]*lu1^5*f40[t]*(f44[t] + I*f44n[t])* g20[t] + 20330265619435811254488*Sqrt[5]*lu1^6*f40[t]* (f44[t] + I*f44n[t])*g20[t] - 15152803448435454660768*Sqrt[5]* lu1^7*f40[t]*(f44[t] + I*f44n[t])*g20[t] - 1843496826216137209514124*Sqrt[5]*lu1^8*f40[t]*(f44[t] + I*f44n[t])* g20[t] - 11746937272409305358314104*Sqrt[5]*lu1^9*f40[t]* (f44[t] + I*f44n[t])*g20[t] - 36100461537382197696105456*Sqrt[5]* lu1^10*f40[t]*(f44[t] + I*f44n[t])*g20[t] - 42899571420000218979820128*Sqrt[5]*lu1^11*f40[t]* (f44[t] + I*f44n[t])*g20[t] + 48660715968050577603925440*Sqrt[5]* lu1^12*f40[t]*(f44[t] + I*f44n[t])*g20[t] + 147503718618459288146006400*Sqrt[5]*lu1^13*f40[t]* (f44[t] + I*f44n[t])*g20[t] + 94987427332791501432288000*Sqrt[5]* lu1^14*f40[t]*(f44[t] + I*f44n[t])*g20[t] + 16830244471926128967360000*Sqrt[5]*lu1^15*f40[t]* (f44[t] + I*f44n[t])*g20[t] - 69777989877960*Sqrt[3]* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 1946612812992120*Sqrt[3]*lu1*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 215626988652500880* Sqrt[3]*lu1^2*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 3827668003948414080*Sqrt[3]*lu1^3* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 170551479253920317280*Sqrt[3]*lu1^4*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 1318566422062628684400* Sqrt[3]*lu1^5*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 40906305355052197635120*Sqrt[3]*lu1^6* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 16758380820090741730080*Sqrt[3]*lu1^7*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 2932572224929682700270360*Sqrt[3]*lu1^8*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 20678910979527319492569960*Sqrt[3]*lu1^9*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 72583070651248184216367360*Sqrt[3]*lu1^10*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 115217720233250727405025440*Sqrt[3]*lu1^11*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 82682726413857872198682240*Sqrt[3]*lu1^12*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 416968704023657838705744000*Sqrt[3]*lu1^13*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 278036642302251041209728000*Sqrt[3]*lu1^14*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 21163806248288867916480000*Sqrt[3]*lu1^15*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 2613787466589* Sqrt[210]*f40[t]*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 60246224967474*Sqrt[210]*lu1*f40[t]*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + 7230077679726954*Sqrt[210]*lu1^2*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) - 64162080183088368* Sqrt[210]*lu1^3*f40[t]*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) - 4027874238330221448*Sqrt[210]*lu1^4*f40[t]*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) - 52606364011658909400*Sqrt[210]*lu1^5*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 312464299957178857722* Sqrt[210]*lu1^6*f40[t]*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 21987183012538026567648*Sqrt[210]*lu1^7*f40[t]*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t]) + 114785647621331819012829*Sqrt[210]*lu1^8* f40[t]*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) - 936548988278570072281746*Sqrt[210]*lu1^9*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) - 5113296876639597011606604*Sqrt[210]*lu1^10*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) - 5859610284590666563571352*Sqrt[210]*lu1^11*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 4894037458804646341703280*Sqrt[210]*lu1^12*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 15682978175573785426989600*Sqrt[210]*lu1^13*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 16385688030217896191256000*Sqrt[210]*lu1^14*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 8138199349331803206000000*Sqrt[210]*lu1^15*f40[t]* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t]) + 16016540875335* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 646265213058465*lu1*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) - 39602295495097335*lu1^2* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 1269764392726364535*lu1^3*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) + 20377215345653060895*lu1^4* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 350935656318056845035*lu1^5*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 5969196089717043828645* lu1^6*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) + 2673816190035660154485*lu1^7* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 612762511866229365510870*lu1^8*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 5707635054738190627893840*lu1^9*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 18240938052721668233389440*lu1^10*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 11009391313340154575720880*lu1^11*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 84366398264271182984564640*lu1^12*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 43577719236625604177347200*lu1^13*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 50344201430905367329344000*lu1^14*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 28701532480138173976320000*lu1^15*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 31657183305930*Sqrt[3]* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 940268694668940*Sqrt[3]*lu1*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 90371624583813300* Sqrt[3]*lu1^2*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) - 1672473257765462880*Sqrt[3]*lu1^3* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 61674524566895276400*Sqrt[3]*lu1^4*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 295255595399665293120* Sqrt[3]*lu1^5*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] + I*g22n[t]) + 14929752440697183796980*Sqrt[3]*lu1^6* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 76816989187233270524640*Sqrt[3]*lu1^7*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 944805337745406890535510*Sqrt[3]*lu1^8*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 13140174648669960984210300*Sqrt[3]*lu1^9*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 47801643923744988243515640*Sqrt[3]*lu1^10*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 46138369810339826801418000*Sqrt[3]*lu1^11*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 60158887293869829000288480*Sqrt[3]*lu1^12*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 130869288302737436618712000*Sqrt[3]*lu1^13*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 110437566483988503732336000*Sqrt[3]*lu1^14*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) + 67473191675546209556640000*Sqrt[3]*lu1^15*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] + I*g22n[t]) - 1154450957355*Sqrt[70]* (f42[t] + I*f42n[t])^2*g40[t] - 1717123421790*Sqrt[70]*lu1* (f42[t] + I*f42n[t])^2*g40[t] + 3000109032073215*Sqrt[70]*lu1^2* (f42[t] + I*f42n[t])^2*g40[t] + 57129634205313930*Sqrt[70]*lu1^3* (f42[t] + I*f42n[t])^2*g40[t] + 532344139829262135*Sqrt[70]*lu1^4* (f42[t] + I*f42n[t])^2*g40[t] - 72369378272746723140*Sqrt[70]* lu1^5*(f42[t] + I*f42n[t])^2*g40[t] - 2225635916600259116595* Sqrt[70]*lu1^6*(f42[t] + I*f42n[t])^2*g40[t] - 2965201400295962602110*Sqrt[70]*lu1^7*(f42[t] + I*f42n[t])^2* g40[t] + 74311873680080312806860*Sqrt[70]*lu1^8* (f42[t] + I*f42n[t])^2*g40[t] + 83469589467539375464470*Sqrt[70]* lu1^9*(f42[t] + I*f42n[t])^2*g40[t] + 520332866262838444594140* Sqrt[70]*lu1^10*(f42[t] + I*f42n[t])^2*g40[t] + 4995795817461696457417920*Sqrt[70]*lu1^11*(f42[t] + I*f42n[t])^2* g40[t] + 8192499624966662992473120*Sqrt[70]*lu1^12* (f42[t] + I*f42n[t])^2*g40[t] - 2759974102048600769104800*Sqrt[70]* lu1^13*(f42[t] + I*f42n[t])^2*g40[t] - 9024998985886389941736000* Sqrt[70]*lu1^14*(f42[t] + I*f42n[t])^2*g40[t] - 887766800151742267680000*Sqrt[70]*lu1^15*(f42[t] + I*f42n[t])^2* g40[t] + 31443159998880*f40[t]*(f44[t] + I*f44n[t])*g40[t] + 466057915633170*lu1*f40[t]*(f44[t] + I*f44n[t])*g40[t] - 61590702341369880*lu1^2*f40[t]*(f44[t] + I*f44n[t])*g40[t] - 3063904381300834890*lu1^3*f40[t]*(f44[t] + I*f44n[t])*g40[t] - 48064061866333097340*lu1^4*f40[t]*(f44[t] + I*f44n[t])*g40[t] + 1971944933866148181150*lu1^5*f40[t]*(f44[t] + I*f44n[t])*g40[t] + 33894191455839848417760*lu1^6*f40[t]*(f44[t] + I*f44n[t])*g40[t] + 104307384396129056568090*lu1^7*f40[t]*(f44[t] + I*f44n[t])*g40[t] - 465782935339761228293580*lu1^8*f40[t]*(f44[t] + I*f44n[t])*g40[t] - 12783093346189779661046880*lu1^9*f40[t]*(f44[t] + I*f44n[t])* g40[t] - 17917989553658277703257120*lu1^10*f40[t]* (f44[t] + I*f44n[t])*g40[t] + 99475140178948546392539040*lu1^11* f40[t]*(f44[t] + I*f44n[t])*g40[t] + 218300959178983317888820800* lu1^12*f40[t]*(f44[t] + I*f44n[t])*g40[t] - 11745077904786350158675200*lu1^13*f40[t]*(f44[t] + I*f44n[t])* g40[t] - 244851540248493732419712000*lu1^14*f40[t]* (f44[t] + I*f44n[t])*g40[t] - 114249778188812105978880000*lu1^15* f40[t]*(f44[t] + I*f44n[t])*g40[t] + 663*Sqrt[14]* (-3 + 37*lu1 + 6846*lu1^2)*(f22[t] + I*f22n[t])^2* (2*Sqrt[5]*(338474511 - 16345806696*lu1 + 79346334564*lu1^2 + 5989156738781*lu1^3 - 150650849422439*lu1^4 + 1542644377086334* lu1^5 + 9714056102559594*lu1^6 - 92111338748541799*lu1^7 - 238896679507522654*lu1^8 + 673158157900005444*lu1^9 + 2966974662629035000*lu1^10 + 3429817113633582880*lu1^11 + 1850255654127507200*lu1^12 + 848736564533760000*lu1^13)* f40[t] + 715*(518562 - 12838554*lu1 - 428149197*lu1^2 + 7981577025*lu1^3 + 79069915832*lu1^4 - 775538224464*lu1^5 - 6146548644613*lu1^6 - 23255120517199*lu1^7 - 49491248576680*lu1^ 8 + 1166568626261144*lu1^9 + 3097955253720624*lu1^10 + 3040519589022800*lu1^11 + 1406207790105600*lu1^12 + 10651908960000*lu1^13)*g20[t] + Sqrt[5]*(-177239583 + 1029453948*lu1 + 96600906423*lu1^2 + 1424467402212*lu1^3 + 30304769135837*lu1^4 - 331368733554712*lu1^5 - 1020566276526067*lu1^6 + 3952255932473932*lu1^7 + 26495467268469862*lu1^8 + 53687821149996028*lu1^9 - 84980228842734760*lu1^10 - 477068260485299920*lu1^11 - 551237997178460800*lu1^12 - 169691879006160000*lu1^13)* g40[t]) + 35234431093260*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 711033628981914*lu1* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 111857969316425724*lu1^2*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 3508359089336866674*lu1^3* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 49879805336897055408*lu1^4*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2562735453696520768638* lu1^5*(f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 8276075750529183813300*lu1^6* (f42[t] + I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 2682193444062307405902*lu1^7*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 219147864554983895657532*lu1^8*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 17473536372784130731391544*lu1^9*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 284803992823971707103024*lu1^10*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 310187112281867833501585824*lu1^11*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 559696929323585011351589952*lu1^12*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 132648427650462551410181760*lu1^13*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 761499374820461724660998400*lu1^14*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 338164525763395512886656000*lu1^15*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 447882826815*Sqrt[70]* f40[t]*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) - 57936301538598*Sqrt[70]*lu1*f40[t]*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t]) - 4552731884580867*Sqrt[70]*lu1^2*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 147321115815177018* Sqrt[70]*lu1^3*f40[t]*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 12166497846457685469*Sqrt[70]*lu1^4*f40[t]*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t]) - 6159163674636294336*Sqrt[70]*lu1^5*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) - 2411078338284870638025* Sqrt[70]*lu1^6*f40[t]*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) - 14211106275141770251446*Sqrt[70]*lu1^7*f40[t]*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t]) + 49605021070552286491356*Sqrt[70]*lu1^8* f40[t]*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 557049212985341797370658*Sqrt[70]*lu1^9*f40[t]*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t]) + 1003560173185721892981588*Sqrt[70]*lu1^10* f40[t]*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 447948282586245628309632*Sqrt[70]*lu1^11*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 3500508947964856269260256*Sqrt[70]*lu1^12*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 9507902331440679869832480*Sqrt[70]*lu1^13*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) + 4771420817226463606651200*Sqrt[70]*lu1^14*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) - 2405494711997530201440000*Sqrt[70]*lu1^15*f40[t]* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t]) - 13622745492720*Sqrt[3]* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 255663759323700*Sqrt[3]*lu1*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 34526408300436780* Sqrt[3]*lu1^2*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) - 137556077063637960*Sqrt[3]*lu1^3* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 11239053781372080300*Sqrt[3]*lu1^4*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 297394682818321244520* Sqrt[3]*lu1^5*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) - 999364082826816661500*Sqrt[3]*lu1^6* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 49174472033380828647240*Sqrt[3]*lu1^7*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 84138545363459047422780*Sqrt[3]*lu1^8*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 1517558851865417387399100*Sqrt[3]*lu1^9*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 3329668020847001919081360*Sqrt[3]*lu1^10*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 8484691488182626891902000*Sqrt[3]*lu1^11*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 34652372917097959399172160*Sqrt[3]*lu1^12*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 45196526412009448309579200*Sqrt[3]*lu1^13*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 30501995678469934024224000*Sqrt[3]*lu1^14*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 10207945850521310629920000*Sqrt[3]*lu1^15*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 8192257559010* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 81340175435778*lu1*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) + 23432517771008598*lu1^2* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 865531294294783662*lu1^3*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) - 79293848509281158046*lu1^4* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 1516589129534054814*lu1^5*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] + I*g42n[t]) + 6715404472616279868330*lu1^6* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 89628040146800857462614*lu1^7*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 467931338456236823776356*lu1^8*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 3934988322269765194302372*lu1^9*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 21155014136052897233073192*lu1^10*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 15891551345949927245928288*lu1^11*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 46167357124261996208764416*lu1^12*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 102008966149372476128760000*lu1^13*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 125596277067318477740208000*lu1^14*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) + 81867680460283637658816000*lu1^15*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] + I*g42n[t]) - 663*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (7150*Sqrt[14]*(232065 - 8290566*lu1 - 84042189*lu1^2 + 4613957916*lu1^3 - 39194139517*lu1^4 - 116323915062*lu1^5 + 6311143544381*lu1^6 - 34021172855056*lu1^7 - 192797638401988* lu1^8 + 796053898755728*lu1^9 + 1674955086059568*lu1^10 + 800100490298240*lu1^11 + 754389729787200*lu1^12 + 464334637536000*lu1^13)*(f22[t] + I*f22n[t])^2 + 15*Sqrt[14]*(-225696537 - 3062422512*lu1 + 446517135351*lu1^2 - 1194430285980*lu1^3 - 66097643406503*lu1^4 + 1175698197044480* lu1^5 - 6274688399011499*lu1^6 - 45523621717764548*lu1^7 - 96302393204143100*lu1^8 + 95375082636671504*lu1^9 + 357942037347445808*lu1^10 - 703044395903579200*lu1^11 - 1091696071045025600*lu1^12 + 139243449632672000*lu1^13)* (f42[t] + I*f42n[t])^2 - 5*Sqrt[14]*(f22[t] + I*f22n[t])* (2*Sqrt[3]*(200781855 - 8036370486*lu1 + 3351373914*lu1^2 + 2002200812517*lu1^3 - 36245199597879*lu1^4 + 582281675765620* lu1^5 + 2567752437884904*lu1^6 - 57982595727341819*lu1^7 - 169586452922709722*lu1^8 + 313743748948988824*lu1^9 + 1663954108037279776*lu1^10 + 2044648054428398640*lu1^11 + 1083349148959156000*lu1^12 + 393966492932880000*lu1^13)*( f42[t] + I*f42n[t]) + 143*(874071 - 22575834*lu1 - 555365916*lu1^2 + 11441585493*lu1^3 - 1366422969*lu1^4 - 68022269024*lu1^5 + 8843870757870*lu1^6 - 89076462674483* lu1^7 - 356056415366912*lu1^8 + 1249163689906168*lu1^9 + 4204861367007136*lu1^10 + 4540747005430800*lu1^11 + 3280794152358400*lu1^12 + 1387828817760000*lu1^13)*(g22[t] + I*g22n[t]) - Sqrt[3]*(64116279 - 888388506*lu1 - 24493108311*lu1^2 - 264043541952*lu1^3 - 6548058093843* lu1^4 + 95404465501646*lu1^5 + 237210688356591*lu1^6 - 2724167779885348*lu1^7 - 4615297601446012*lu1^8 + 7321577445616880*lu1^9 + 49469471140679264*lu1^10 + 154912301477552160*lu1^11 + 186142429680272000*lu1^12 + 60714600090480000*lu1^13)*(g42[t] + I*g42n[t])) + 5*Sqrt[14]*(f42[t] + I*f42n[t])*(Sqrt[3]*(179064756 - 3044225511*lu1 - 129221221941*lu1^2 + 471250749294*lu1^3 + 12920028523938*lu1^4 + 319162574340245*lu1^5 + 1633730724449031*lu1^6 - 29488108836257308*lu1^7 - 159206064345414280*lu1^8 - 168313800481035568*lu1^9 + 281150257917943184*lu1^10 + 803923224164304000*lu1^11 + 757897260583529600*lu1^12 + 299032997393760000*lu1^13)*( g22[t] + I*g22n[t]) - 3*(116964405 + 557464923*lu1 - 67347870093*lu1^2 - 1778991168735*lu1^3 - 23722249070709* lu1^4 + 173637437502585*lu1^5 + 1416661331635717*lu1^6 + 2086380650633927*lu1^7 - 31091455904939016*lu1^8 - 136810345830774316*lu1^9 - 105725404850379344*lu1^10 + 258218380774213200*lu1^11 + 418439023332016000*lu1^12 + 145129975697336000*lu1^13)*(g42[t] + I*g42n[t])) + 7*(3 + 2*lu1)*((f44[t] + I*f44n[t])*(5*(21859227 - 369514656* lu1 + 3226095621*lu1^2 - 212010602610*lu1^3 - 15656247298915*lu1^4 + 123347339793972*lu1^5 + 3036588309080507*lu1^6 + 4198502318067134*lu1^7 - 20098195059098344*lu1^8 - 83949607822243552*lu1^9 - 14307060321176880*lu1^10 + 248929211468055200*lu1^11 + 230140052964528000*lu1^12)*g20[t] - 6*Sqrt[5]*(23722875 - 232276023*lu1 - 10661233779*lu1^2 - 102291486589*lu1^3 + 416673234377*lu1^4 + 29414909881599*lu1^5 + 30297763539651* lu1^6 - 1057667280828227*lu1^7 - 1637504600525220*lu1^8 + 2043461701835208*lu1^9 + 10494401931562160*lu1^10 + 34201567233147600*lu1^11 + 36805295219000000*lu1^12)* g40[t]) + 6*Sqrt[5]*f40[t]*(2*(-7931295 - 1963814286*lu1 + 85257255097*lu1^2 - 393598559198*lu1^3 - 12209856192781* lu1^4 + 348919836064238*lu1^5 - 1165647090260413*lu1^6 - 18117340879135474*lu1^7 - 31819798030451520*lu1^8 - 14416789379570224*lu1^9 + 80448358517235120*lu1^10 + 164368003467567200*lu1^11 + 73836075723760000*lu1^12)* (f44[t] + I*f44n[t]) - 21*(-3 + 13*lu1 + 38*lu1^2)^2* (242091 + 2257095*lu1 - 77262684*lu1^2 - 4125214408*lu1^3 - 73008462095*lu1^4 - 224826443803*lu1^5 - 173123722120* lu1^6 + 1381672118500*lu1^7 + 1087928240000*lu1^8)* (g44[t] + I*g44n[t])))) - 221*(-3 + 37*lu1 + 6846*lu1^2)* (f22[t] + I*f22n[t])*(3*Sqrt[70]*f40[t]*(2*Sqrt[3]*(-509261175 - 10460963214*lu1 + 1983347878617*lu1^2 - 30993107678610* lu1^3 - 379250474860237*lu1^4 + 9050828566454446*lu1^5 + 17057863550257091*lu1^6 - 375222953976132214*lu1^7 - 413607692672170264*lu1^8 + 2099285432395806664*lu1^9 + 2980378799273763616*lu1^10 - 55916834822487680*lu1^11 + 273351306552411200*lu1^12 + 1250172216748000000*lu1^13)*( f42[t] + I*f42n[t]) + (558703197 - 9147957642*lu1 - 428182905087*lu1^2 + 2358431477272*lu1^3 + 27036443694677* lu1^4 + 762361180650138*lu1^5 + 7224347346922823*lu1^6 - 57145278513655268*lu1^7 - 290507021212300338*lu1^8 + 110851311784993708*lu1^9 + 1884006323943944600*lu1^10 + 2612687710523962800*lu1^11 + 1574177743602000000*lu1^12 + 726034374295440000*lu1^13)*(g22[t] + I*g22n[t]) - Sqrt[3]*(622069551 - 3871309518*lu1 - 334612038348*lu1^2 - 3691046475183*lu1^3 + 75671936835439*lu1^4 + 1040657822884036* lu1^5 - 4208766673480706*lu1^6 - 52062036155213311*lu1^7 + 45434817825350864*lu1^8 + 634262695599956408*lu1^9 + 959806979344365808*lu1^10 + 474651792167260720*lu1^11 + 320722520581240000*lu1^12 + 295703855803440000*lu1^13)*( g42[t] + I*g42n[t])) + 3*(Sqrt[42]*(f42[t] + I*f42n[t])*( 5*(214215651 - 4646106909*lu1 - 198996426804*lu1^2 + 2799607367934*lu1^3 + 49716561247291*lu1^4 - 247959867889449*lu1^5 - 4666900653546170*lu1^6 - 18682760759134904*lu1^7 - 43187988322466480*lu1^8 + 202719349667357008*lu1^9 + 1044328033498823376*lu1^10 + 1206057540388266400*lu1^11 + 346145469355214400*lu1^12 + 40724402434800000*lu1^13)*g20[t] - Sqrt[5]*(828938610 + 1046769453*lu1 - 701286502959*lu1^2 - 8587224964410*lu1^3 + 64820216153084*lu1^4 + 1249649931830573*lu1^5 - 4719471783721767*lu1^6 - 17993979293705652*lu1^7 + 5022196981025128*lu1^8 - 44592723194108028*lu1^9 + 249213380503641648*lu1^10 + 1600960894263462560*lu1^11 + 1868199096898953600*lu1^12 + 468614976577160000*lu1^13)* g40[t]) + 35*(f44[t] + I*f44n[t])*((356797467 - 8149215024* lu1 - 315278432553*lu1^2 + 5098320604312*lu1^3 + 65675939334021*lu1^4 - 550250676781040*lu1^5 - 4151532340044531*lu1^6 - 5777598732149520*lu1^7 - 217406647357273828*lu1^8 - 734732210652434184*lu1^9 + 582820414279610784*lu1^10 + 3974953584600867040*lu1^11 + 3960302527559977600*lu1^12 + 1008191301292896000*lu1^13)* (g22[t] - I*g22n[t]) - 2*Sqrt[3]*(106593651 + 254201166* lu1 - 90991978182*lu1^2 - 1210768611795*lu1^3 + 1108922407761*lu1^4 + 145948031855052*lu1^5 - 118942862266664*lu1^6 + 418676062173293*lu1^7 - 8611107664047894*lu1^8 - 67074523142896180*lu1^9 - 37850062124763536*lu1^10 + 256234680805603440*lu1^11 + 348642639375978400*lu1^12 + 89421408831272000*lu1^13)* (g42[t] - I*g42n[t])) + 70*Sqrt[3]*(f42[t] - I*f42n[t])*( 4*(-39352500 - 1489996467*lu1 + 141097977741*lu1^2 - 1284181621562*lu1^3 - 23762334300394*lu1^4 + 553020104673261*lu1^5 - 374160488040303*lu1^6 - 24803564465040540*lu1^7 - 41566233900194760*lu1^8 + 61890610002974124*lu1^9 + 161051187606964008*lu1^10 + 37649181629527920*lu1^11 + 673672747290400*lu1^12 + 75426850744784000*lu1^13)*(f44[t] + I*f44n[t]) - 3*(30552876 - 132334155*lu1 - 8991136917*lu1^2 - 298731126252* lu1^3 - 1976510803064*lu1^4 + 53270580994141*lu1^5 + 131176873855379*lu1^6 - 1953145575827062*lu1^7 - 2945575173856338*lu1^8 + 14630948142795840*lu1^9 + 35133602823532112*lu1^10 + 25518333238600640*lu1^11 + 19594749186253600*lu1^12 + 17262405753712000*lu1^13)* (g44[t] + I*g44n[t]))) - 70*(f22[t] - I*f22n[t])* (6*(132636771 - 6751023507*lu1 + 81268992294*lu1^2 + 158955685822*lu1^3 - 17364737806513*lu1^4 + 403882788661917* lu1^5 + 13906040837616*lu1^6 - 38938343094085780*lu1^7 - 79308870419795440*lu1^8 + 7861992578801932*lu1^9 + 474858967877469144*lu1^10 + 1434054402200846192*lu1^11 + 1469966522510274080*lu1^12 + 391459109134800000*lu1^13)*( f44[t] + I*f44n[t]) - (153559233 - 3788318808*lu1 + 649242405*lu1^2 - 274112759322*lu1^3 - 11391260361243*lu1^4 + 203793287651632*lu1^5 + 473292708075195*lu1^6 - 10979283145216418*lu1^7 + 1069621657118482*lu1^8 + 109381961660927572*lu1^9 + 117164198839590856*lu1^10 - 53271270482598096*lu1^11 - 68311519901306240*lu1^12 + 3443116306224000*lu1^13)*(g44[t] + I*g44n[t]))) + 15470*(-9 + 105*lu1 + 20612*lu1^2 + 13692*lu1^3)*f20[t]^2* (3*(23182524 - 2356818093*lu1 + 52875405072*lu1^2 + 679319996475*lu1^3 - 32294609342048*lu1^4 + 282184344300369*lu1^ 5 + 1342696193008888*lu1^6 - 5923294257987239*lu1^7 + 10937981478025276*lu1^8 + 10552229874926392*lu1^9 + 30940318227363936*lu1^10 + 237564923507634640*lu1^11 + 226131343901400000*lu1^12)*(f44[t] + I*f44n[t]) - 7*(-3 + 13*lu1 + 38*lu1^2)^2*(795186 + 2270616*lu1 - 348204569*lu1^2 - 10680746323*lu1^3 - 256877832479*lu1^4 - 495974392121*lu1^5 - 342436815958*lu1^6 + 3580823340880*lu1^7 + 3666184032000*lu1^8)*(g44[t] + I*g44n[t])) + 28250826585660*(f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) + 939982857060618*lu1*(f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) - 134124218658798228*lu1^2*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) - 3419603878123301778*lu1^3* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) + 152792217845200321416*lu1^4*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) + 2478078442981257273486*lu1^5* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) - 38114641843050565879380*lu1^6*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) - 137346984353682655666254*lu1^7* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) + 1597656152130478605806004*lu1^8*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) - 21384929897681447630734488*lu1^9* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) + 22204821653130159771929712*lu1^10*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) + 567526512014429620879866528*lu1^11* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) + 977556229301208892744108224*lu1^12*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) - 279311535681925693173333120*lu1^13* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) - 1362380533260702689691820800*lu1^14*(f44[t] + I*f44n[t])^2* (g44[t] - I*g44n[t]) - 570365096806061847626112000*lu1^15* (f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t]) + 46771079345865*f40[t]^2*(g44[t] + I*g44n[t]) + 20396227043745*lu1* f40[t]^2*(g44[t] + I*g44n[t]) - 107292764129662125*lu1^2*f40[t]^2* (g44[t] + I*g44n[t]) - 2227950947236787955*lu1^3*f40[t]^2* (g44[t] + I*g44n[t]) - 11442933174988294875*lu1^4*f40[t]^2* (g44[t] + I*g44n[t]) + 1831604871871214113695*lu1^5*f40[t]^2* (g44[t] + I*g44n[t]) + 18634947531219105501905*lu1^6*f40[t]^2* (g44[t] + I*g44n[t]) - 138538594137126334663785*lu1^7*f40[t]^2* (g44[t] + I*g44n[t]) - 1184223212652320536230010*lu1^8*f40[t]^2* (g44[t] + I*g44n[t]) + 1085692766182401134523500*lu1^9*f40[t]^2* (g44[t] + I*g44n[t]) + 21851026239268663972923080*lu1^10*f40[t]^2* (g44[t] + I*g44n[t]) + 47121771749061076768048880*lu1^11*f40[t]^2* (g44[t] + I*g44n[t]) + 8533194912251945440958880*lu1^12*f40[t]^2* (g44[t] + I*g44n[t]) - 85865374955096470084388800*lu1^13*f40[t]^2* (g44[t] + I*g44n[t]) - 108721043376043502881008000*lu1^14*f40[t]^2* (g44[t] + I*g44n[t]) - 38379221554907144076480000*lu1^15*f40[t]^2* (g44[t] + I*g44n[t]) - 13622745492720*Sqrt[3]*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 255663759323700* Sqrt[3]*lu1*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (g44[t] + I*g44n[t]) + 34526408300436780*Sqrt[3]*lu1^2* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 137556077063637960*Sqrt[3]*lu1^3*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 11239053781372080300* Sqrt[3]*lu1^4*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* (g44[t] + I*g44n[t]) - 297394682818321244520*Sqrt[3]*lu1^5* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 999364082826816661500*Sqrt[3]*lu1^6*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 49174472033380828647240*Sqrt[3]*lu1^7*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 84138545363459047422780*Sqrt[3]*lu1^8*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 1517558851865417387399100*Sqrt[3]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 3329668020847001919081360*Sqrt[3]*lu1^10*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 8484691488182626891902000*Sqrt[3]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 34652372917097959399172160*Sqrt[3]*lu1^12*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 45196526412009448309579200*Sqrt[3]*lu1^13*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 30501995678469934024224000*Sqrt[3]*lu1^14*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 10207945850521310629920000*Sqrt[3]*lu1^15*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 103109836209660* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 491933117637738*lu1*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g44[t] + I*g44n[t]) - 271078201331754012*lu1^2* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 3347509773156722082*lu1^3*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g44[t] + I*g44n[t]) + 88183840897758584664*lu1^4* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 3943447981385307521574*lu1^5*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 25152798182580627593020*lu1^6*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 395876573640861366197886*lu1^7*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 2252254972486527858306044*lu1^8*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 6980986769379475292338948*lu1^9*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 50640394052377486205568328*lu1^10*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 75110680320772529265704032*lu1^11*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 11506141755664788763472256*lu1^12*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 70110449007186457794518720*lu1^13*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 130792163857170192371836800*lu1^14*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) - 95066815354416439450560000*lu1^15*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*(g44[t] + I*g44n[t]) + 101799108563670* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) - 2194135770227940*lu1*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g44[t] + I*g44n[t]) - 261607300776884790*lu1^2* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 468721221813051480*lu1^3*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g44[t] + I*g44n[t]) + 202283892893536271370*lu1^4* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 2197288935791167997100*lu1^5*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) - 29931079031876370453770*lu1^6*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) - 572364255011320593724560*lu1^7*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) - 271437710757691761053120*lu1^8*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 21902830695907587696865840*lu1^9*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 42553258524170198703562720*lu1^10*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) - 71099575089953870024862080*lu1^11*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) - 87348934395961646979836160*lu1^12*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 336013283859464339114371840*lu1^13*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 496435114381657635913881600*lu1^14*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t]) + 142158667531717175334912000*lu1^15*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*(g44[t] + I*g44n[t])))/ (51102051*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) - (10*(1 + lu1)*mar*f20[t]^2*(g44[t] - I*g44n[t]))/ (3*(-1 + 7*lu1 + 170*lu1^2)*Pi) - (20*(1 + lu1)*mar*(f22[t] - I*f22n[t])*(f22[t] + I*f22n[t])* (g44[t] - I*g44n[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)*Pi) - (10*(1 + lu1)*mar*f40[t]^2*(g44[t] - I*g44n[t]))/ (3*(-1 + 7*lu1 + 170*lu1^2)*Pi) - (20*(1 + lu1)*mar*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)*Pi) - (20*(1 + lu1)*mar*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]))/(3*(-1 + 7*lu1 + 170*lu1^2)*Pi)) - ((-1 + 17*lu1)*Sqrt[3*Pi]*(f22[t]*(59750090400*Sqrt[10]*lu1^7*f44[t] + 12*lu1^5*(3526823300*Sqrt[7*Pi] + 191239620*Sqrt[35]*f20[t] - 1248142475*Sqrt[7]*f40[t] - 18380215763*Sqrt[10]*f44[t]) + 20*lu1^4*(738882144*Sqrt[7*Pi] + 594563112*Sqrt[35]*f20[t] - 514657435*Sqrt[7]*f40[t] - 3583505107*Sqrt[10]*f44[t]) - 14*lu1^3*(92917110*Sqrt[7*Pi] + 66756690*Sqrt[35]*f20[t] + 87960425*Sqrt[7]*f40[t] - 1784993119*Sqrt[10]*f44[t]) + 3*(495495*Sqrt[7*Pi] + 154440*Sqrt[35]*f20[t] + 463600*Sqrt[7]* f40[t] + 46916688*Sqrt[10]*f44[t]) + 40*lu1^6* (533482950*Sqrt[7*Pi] - 99768240*Sqrt[35]*f20[t] + 253952495*Sqrt[7]*f40[t] + 151374041*Sqrt[10]*f44[t]) - 33*lu1^2*(12006995*Sqrt[7*Pi] + 6236880*Sqrt[35]*f20[t] - 29981850*Sqrt[7]*f40[t] + 240298422*Sqrt[10]*f44[t]) + lu1*(-990990*Sqrt[7*Pi] + 5019300*Sqrt[35]*f20[t] - 124362500*Sqrt[7]*f40[t] + 427391692*Sqrt[10]*f44[t])) - 5*(Sqrt[3]*f42[t]*(-261261*Sqrt[7*Pi] - 134352*Sqrt[35]*f20[t] + 372600*Sqrt[7]*f40[t] + 31862712*Sqrt[10]*f44[t] + lu1^2*(41388347*Sqrt[7*Pi] - 56904144*Sqrt[35]*f20[t] + 309054170*Sqrt[7]*f40[t] - 624724310*Sqrt[10]*f44[t]) - 14*lu1^3*(13918333*Sqrt[7*Pi] + 8235696*Sqrt[35]*f20[t] - 21406315*Sqrt[7]*f40[t] - 156864883*Sqrt[10]*f44[t]) + 4*lu1*(705705*Sqrt[7*Pi] + 2451474*Sqrt[35]*f20[t] - 24072750* Sqrt[7]*f40[t] + 68680178*Sqrt[10]*f44[t]) + 32*lu1^6*(1616615*Sqrt[7*Pi] - 7469166*Sqrt[35]*f20[t] + 105784615*Sqrt[7]*f40[t] + 324720655*Sqrt[10]*f44[t]) - 4*lu1^4*(170062893*Sqrt[7*Pi] - 179881434*Sqrt[35]*f20[t] + 1072275945*Sqrt[7]*f40[t] + 1402531417*Sqrt[10]*f44[t]) - 8*lu1^5*(34703669*Sqrt[7*Pi] - 19199130*Sqrt[35]*f20[t] + 591651350*Sqrt[7]*f40[t] + 2308270174*Sqrt[10]*f44[t])) + 14*Sqrt[10]*(-2 + lu1)*((-944532 - 5100629*lu1 + 54118193*lu1^2 + 23493174*lu1^3 - 56963930*lu1^4 + 106889228*lu1^5)*f22n[t] + Sqrt[3]*(2039874 + 25899133*lu1 + 24119615*lu1^2 + 151248042* lu1^3 + 70473544*lu1^4 - 215908720*lu1^5)*f42n[t])* f44n[t])) + 154*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (-3003*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*Sqrt[Pi]* sc*f44[t] + cap*(36*(299*Sqrt[210]*f22n[t]*f42[t] + 299*Sqrt[210]*f22[t]*f42n[t] - 8100*Sqrt[70]*f42[t]*f42n[t] + 4186*Sqrt[5]*f20[t]*f44n[t] - 37800*f40[t]*f44n[t]) + lu1^4*(-26*Sqrt[70]*f22[t]*(9291040*f22n[t] - 2965419*Sqrt[3]* f42n[t]) + 18*(4283383*Sqrt[210]*f22n[t]*f42[t] - 26372520* Sqrt[70]*f42[t]*f42n[t] + 14*(5311020*Sqrt[Pi] + 4283383*Sqrt[5]*f20[t] - 8790840*f40[t])*f44n[t])) + 9*lu1^3*(13*Sqrt[70]*f22[t]*(271480*f22n[t] - 156207*Sqrt[3]* f42n[t]) - 3*(676897*Sqrt[210]*f22n[t]*f42[t] - 2359710* Sqrt[70]*f42[t]*f42n[t] + 14*(653510*Sqrt[Pi] + 676897*Sqrt[5]*f20[t] - 786570*f40[t])*f44n[t])) + 20*lu1^2*(26*Sqrt[70]*f22[t]*(6050*f22n[t] - 10509*Sqrt[3]* f42n[t]) - 3*(91078*Sqrt[210]*f22n[t]*f42[t] - 954909* Sqrt[70]*f42[t]*f42n[t] + 14*(21879*Sqrt[Pi] + 91078*Sqrt[5]* f20[t] - 318303*f40[t])*f44n[t])) + 200*lu1^5*(13*Sqrt[70]*f22[t]*(5236*f22n[t] + 40731*Sqrt[3]* f42n[t]) + 3*(176501*Sqrt[210]*f22n[t]*f42[t] - 1084995* Sqrt[70]*f42[t]*f42n[t] + 5819814*Sqrt[Pi]*f44n[t] + 2471014* Sqrt[5]*f20[t]*f44n[t] - 5063310*f40[t]*f44n[t])) + lu1*(13*Sqrt[70]*f22[t]*(-18920*f22n[t] + 39429*Sqrt[3]*f42n[t]) + 9*(56953*Sqrt[210]*f22n[t]*f42[t] + 14*(-51705*Sqrt[70]*f42[t]* f42n[t] + 12870*Sqrt[Pi]*f44n[t] + 56953*Sqrt[5]*f20[t]* f44n[t] - 241290*f40[t]*f44n[t])))) + mar*(64800*Sqrt[70]*f42[t]*f42n[t] + 5150250*Sqrt[70]*lu1*f42[t]* f42n[t] - 67232700*Sqrt[70]*lu1^2*f42[t]*f42n[t] + 54986850*Sqrt[70]*lu1^3*f42[t]*f42n[t] + 811873800*Sqrt[70]*lu1^4* f42[t]*f42n[t] + 785608200*Sqrt[70]*lu1^5*f42[t]*f42n[t] + 60060*Sqrt[Pi]*f44n[t] - 2242240*lu1*Sqrt[Pi]*f44n[t] + 8548540*lu1^2*Sqrt[Pi]*f44n[t] + 287447160*lu1^3*Sqrt[Pi]* f44n[t] - 1159478320*lu1^4*Sqrt[Pi]*f44n[t] - 3362559200*lu1^5* Sqrt[Pi]*f44n[t] + 245700*Sqrt[5]*f20[t]*f44n[t] - 8560734*Sqrt[5]*lu1*f20[t]*f44n[t] + 48706476*Sqrt[5]*lu1^2*f20[t]* f44n[t] + 113813154*Sqrt[5]*lu1^3*f20[t]*f44n[t] - 1861520388*Sqrt[5]*lu1^4*f20[t]*f44n[t] - 2177338800*Sqrt[5]*lu1^5* f20[t]*f44n[t] + 302400*f40[t]*f44n[t] + 24034500*lu1*f40[t]* f44n[t] - 313752600*lu1^2*f40[t]*f44n[t] + 256605300*lu1^3*f40[t]* f44n[t] + 3788744400*lu1^4*f40[t]*f44n[t] + 3666171600*lu1^5* f40[t]*f44n[t] - 130494*Sqrt[5]*f44n[t]*g20[t] + 818272*Sqrt[5]*lu1*f44n[t]*g20[t] + 21457436*Sqrt[5]*lu1^2*f44n[t]* g20[t] + 24090612*Sqrt[5]*lu1^3*f44n[t]*g20[t] + 249670330*Sqrt[5]*lu1^4*f44n[t]*g20[t] + 312958100*Sqrt[5]*lu1^5* f44n[t]*g20[t] - 9321*Sqrt[210]*f42n[t]*g22[t] + 58448*Sqrt[210]*lu1*f42n[t]*g22[t] + 1532674*Sqrt[210]*lu1^2* f42n[t]*g22[t] + 1720758*Sqrt[210]*lu1^3*f42n[t]*g22[t] + 17833595*Sqrt[210]*lu1^4*f42n[t]*g22[t] + 22354150*Sqrt[210]*lu1^5* f42n[t]*g22[t] - 9321*Sqrt[210]*f42[t]*g22n[t] + 58448*Sqrt[210]*lu1*f42[t]*g22n[t] + 1532674*Sqrt[210]*lu1^2* f42[t]*g22n[t] + 1720758*Sqrt[210]*lu1^3*f42[t]*g22n[t] + 17833595*Sqrt[210]*lu1^4*f42[t]*g22n[t] + 22354150*Sqrt[210]*lu1^5* f42[t]*g22n[t] + 281610*f44n[t]*g40[t] + 1416240*lu1*f44n[t]* g40[t] + 8810550*lu1^2*f44n[t]*g40[t] - 127034460*lu1^3*f44n[t]* g40[t] - 342696060*lu1^4*f44n[t]*g40[t] - 120418200*lu1^5*f44n[t]* g40[t] + 60345*Sqrt[70]*f42n[t]*g42[t] + 303480*Sqrt[70]*lu1* f42n[t]*g42[t] + 1887975*Sqrt[70]*lu1^2*f42n[t]*g42[t] - 27221670*Sqrt[70]*lu1^3*f42n[t]*g42[t] - 73434870*Sqrt[70]*lu1^4* f42n[t]*g42[t] - 25803900*Sqrt[70]*lu1^5*f42n[t]*g42[t] - 13*Sqrt[70]*f22n[t]*(3*Sqrt[3]*(-450 + 15679*lu1 - 89206*lu1^2 - 208449*lu1^3 + 3409378*lu1^4 + 3987800*lu1^5)*f42[t] + 22*(-27 + 389*lu1 + 2773*lu1^2 - 31221*lu1^3 + 71870*lu1^4 + 23800*lu1^5)*g22[t] - Sqrt[3]*(-447 + 83*lu1 - 29252*lu1^2 + 207417*lu1^3 + 553433*lu1^4 + 27550*lu1^5)*g42[t]) + 60345*Sqrt[70]*f42[t]*g42n[t] + 303480*Sqrt[70]*lu1*f42[t]* g42n[t] + 1887975*Sqrt[70]*lu1^2*f42[t]*g42n[t] - 27221670*Sqrt[70]*lu1^3*f42[t]*g42n[t] - 73434870*Sqrt[70]*lu1^4* f42[t]*g42n[t] - 25803900*Sqrt[70]*lu1^5*f42[t]*g42n[t] + 13*Sqrt[70]*f22[t]*(66*(-41 + 857*lu1 + 849*lu1^2 - 82013*lu1^3 + 362480*lu1^4 + 5100*lu1^5)*f22n[t] - 3*Sqrt[3]* (-450 + 15679*lu1 - 89206*lu1^2 - 208449*lu1^3 + 3409378* lu1^4 + 3987800*lu1^5)*f42n[t] + 594*g22n[t] - 8558*lu1*g22n[t] - 61006*lu1^2*g22n[t] + 686862*lu1^3*g22n[t] - 1581140*lu1^4*g22n[t] - 523600*lu1^5*g22n[t] - 447*Sqrt[3]*g42n[t] + 83*Sqrt[3]*lu1*g42n[t] - 29252*Sqrt[3]*lu1^2*g42n[t] + 207417*Sqrt[3]*lu1^3*g42n[t] + 553433*Sqrt[3]*lu1^4*g42n[t] + 27550*Sqrt[3]*lu1^5*g42n[t]) - 30030*Sqrt[Pi]*g44n[t] + 310310*lu1*Sqrt[Pi]*g44n[t] + 4914910*lu1^2*Sqrt[Pi]*g44n[t] - 20210190*lu1^3*Sqrt[Pi]*g44n[t] - 89449360*lu1^4*Sqrt[Pi]*g44n[t] - 64664600*lu1^5*Sqrt[Pi]* g44n[t] - 81354*Sqrt[5]*f20[t]*g44n[t] + 15106*Sqrt[5]*lu1*f20[t]* g44n[t] - 5323864*Sqrt[5]*lu1^2*f20[t]*g44n[t] + 37749894*Sqrt[5]*lu1^3*f20[t]*g44n[t] + 100724806*Sqrt[5]*lu1^4* f20[t]*g44n[t] + 5014100*Sqrt[5]*lu1^5*f20[t]*g44n[t] + 281610*f40[t]*g44n[t] + 1416240*lu1*f40[t]*g44n[t] + 8810550*lu1^2*f40[t]*g44n[t] - 127034460*lu1^3*f40[t]*g44n[t] - 342696060*lu1^4*f40[t]*g44n[t] - 120418200*lu1^5*f40[t]*g44n[t])))/ (231231*(-9 + 51*lu1 + 38*lu1^2)*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)^2* Pi) eqG20f = (5*(-1 + 17*lu1)*Sqrt[3*Pi]*(31840380*Sqrt[35]*f22[t]*f44n[t] + 663715338*Sqrt[35]*lu1*f22[t]*f44n[t] + 3847316616*Sqrt[35]*lu1^2* f22[t]*f44n[t] - 4580929782*Sqrt[35]*lu1^3*f22[t]*f44n[t] - 3889307136*Sqrt[35]*lu1^4*f22[t]*f44n[t] + 3240566472*Sqrt[35]*lu1^5* f22[t]*f44n[t] - 337036128*Sqrt[35]*lu1^6*f22[t]*f44n[t] - 61426728*Sqrt[105]*f42[t]*f44n[t] - 1156061644*Sqrt[105]*lu1*f42[t]* f44n[t] - 7635613032*Sqrt[105]*lu1^2*f42[t]*f44n[t] - 3759940596*Sqrt[105]*lu1^3*f42[t]*f44n[t] + 21159701392*Sqrt[105]* lu1^4*f42[t]*f44n[t] - 6578574560*Sqrt[105]*lu1^5*f42[t]*f44n[t] - 1016332960*Sqrt[105]*lu1^6*f42[t]*f44n[t] - 2764476*Sqrt[35]*f44n[t]* g22[t] - 7194330*Sqrt[35]*lu1*f44n[t]*g22[t] + 112226400*Sqrt[35]*lu1^2*f44n[t]*g22[t] + 394812990*Sqrt[35]*lu1^3* f44n[t]*g22[t] - 532852320*Sqrt[35]*lu1^4*f44n[t]*g22[t] - 1345553352*Sqrt[35]*lu1^5*f44n[t]*g22[t] + 749892000*Sqrt[35]*lu1^6* f44n[t]*g22[t] + 891891*Sqrt[2*Pi]*g22n[t] + 1783782*lu1*Sqrt[2*Pi]* g22n[t] - 82351269*lu1^2*Sqrt[2*Pi]*g22n[t] - 15987972*lu1^3*Sqrt[2*Pi]*g22n[t] + 1148491344*lu1^4*Sqrt[2*Pi]* g22n[t] + 2179120944*lu1^5*Sqrt[2*Pi]*g22n[t] + 953993040*lu1^6*Sqrt[2*Pi]*g22n[t] + 764478*Sqrt[10]*f20[t]* g22n[t] - 382239*Sqrt[10]*lu1*f20[t]*g22n[t] - 70586802*Sqrt[10]*lu1^2*f20[t]*g22n[t] + 162763029*Sqrt[10]*lu1^3* f20[t]*g22n[t] + 665747082*Sqrt[10]*lu1^4*f20[t]*g22n[t] + 44113212*Sqrt[10]*lu1^5*f20[t]*g22n[t] - 204427080*Sqrt[10]*lu1^6* f20[t]*g22n[t] - 2895750*Sqrt[2]*f40[t]*g22n[t] + 48114495*Sqrt[2]*lu1*f40[t]*g22n[t] - 287369940*Sqrt[2]*lu1^2*f40[t]* g22n[t] - 57788445*Sqrt[2]*lu1^3*f40[t]*g22n[t] + 3851587740*Sqrt[2]*lu1^4*f40[t]*g22n[t] + 3442630620*Sqrt[2]*lu1^5* f40[t]*g22n[t] - 2660486400*Sqrt[2]*lu1^6*f40[t]*g22n[t] + 2764476*Sqrt[35]*f44[t]*g22n[t] + 7194330*Sqrt[35]*lu1*f44[t]* g22n[t] - 112226400*Sqrt[35]*lu1^2*f44[t]*g22n[t] - 394812990*Sqrt[35]*lu1^3*f44[t]*g22n[t] + 532852320*Sqrt[35]*lu1^4* f44[t]*g22n[t] + 1345553352*Sqrt[35]*lu1^5*f44[t]*g22n[t] - 749892000*Sqrt[35]*lu1^6*f44[t]*g22n[t] + 429*(-2 + lu1)*f22n[t]* (lu1*(69300*Sqrt[10]*f20[t] - 861070*Sqrt[2]*f40[t] + 792116*Sqrt[35]*f44[t]) + 2*lu1^3*(1039962*Sqrt[2*Pi] - 2156154*Sqrt[10]*f20[t] + 16854922*Sqrt[2]*f40[t] - 1449512*Sqrt[35]*f44[t] + 74283*Sqrt[10]*g20[t] - 297132*Sqrt[2]*g40[t]) + 8*lu1^5*(833910*Sqrt[2*Pi] - 1009470*Sqrt[10]*f20[t] + 1033480*Sqrt[2]*f40[t] + 98204*Sqrt[35]*f44[t] + 59565*Sqrt[10]*g20[t] - 238260*Sqrt[2]*g40[t]) + 132*lu1^4*(90174*Sqrt[2*Pi] - 116158*Sqrt[10]*f20[t] + 206129*Sqrt[2]*f40[t] - 45322*Sqrt[35]*f44[t] + 6441*Sqrt[10]*g20[t] - 25764*Sqrt[2]*g40[t]) + 3*(4158*Sqrt[2*Pi] - 1386*Sqrt[10]* f20[t] - 34937*Sqrt[2]*f40[t] + 12370*Sqrt[35]*f44[t] + 297*Sqrt[10]*g20[t] - 1188*Sqrt[2]*g40[t]) + lu1^2*(-1151766*Sqrt[2*Pi] + 822822*Sqrt[10]*f20[t] - 1766751*Sqrt[2]*f40[t] + 4880110*Sqrt[35]*f44[t] - 82269*Sqrt[10]*g20[t] + 329076*Sqrt[2]*g40[t])) - 1361412*Sqrt[105]*f44n[t]*g42[t] - 8889582*Sqrt[105]*lu1*f44n[t]* g42[t] + 70804500*Sqrt[105]*lu1^2*f44n[t]*g42[t] + 316939610*Sqrt[105]*lu1^3*f44n[t]*g42[t] - 268106020*Sqrt[105]*lu1^4* f44n[t]*g42[t] - 901779944*Sqrt[105]*lu1^5*f44n[t]*g42[t] + 474172816*Sqrt[105]*lu1^6*f44n[t]*g42[t] + 594594*Sqrt[6*Pi]* g42n[t] + 1189188*lu1*Sqrt[6*Pi]*g42n[t] - 54900846*lu1^2* Sqrt[6*Pi]*g42n[t] - 10658648*lu1^3*Sqrt[6*Pi]*g42n[t] + 765660896*lu1^4*Sqrt[6*Pi]*g42n[t] + 1452747296*lu1^5*Sqrt[6*Pi]* g42n[t] + 635995360*lu1^6*Sqrt[6*Pi]*g42n[t] + 509652*Sqrt[30]*f20[t]*g42n[t] - 254826*Sqrt[30]*lu1*f20[t]* g42n[t] - 47057868*Sqrt[30]*lu1^2*f20[t]*g42n[t] + 108508686*Sqrt[30]*lu1^3*f20[t]*g42n[t] + 443831388*Sqrt[30]*lu1^4* f20[t]*g42n[t] + 29408808*Sqrt[30]*lu1^5*f20[t]*g42n[t] - 136284720*Sqrt[30]*lu1^6*f20[t]*g42n[t] + 1681290*Sqrt[6]*f40[t]* g42n[t] + 1376115*Sqrt[6]*lu1*f40[t]*g42n[t] - 221678210*Sqrt[6]*lu1^2*f40[t]*g42n[t] + 364456495*Sqrt[6]*lu1^3* f40[t]*g42n[t] + 3221191610*Sqrt[6]*lu1^4*f40[t]*g42n[t] + 2259504260*Sqrt[6]*lu1^5*f40[t]*g42n[t] - 1966821480*Sqrt[6]*lu1^6* f40[t]*g42n[t] + 1361412*Sqrt[105]*f44[t]*g42n[t] + 8889582*Sqrt[105]*lu1*f44[t]*g42n[t] - 70804500*Sqrt[105]*lu1^2* f44[t]*g42n[t] - 316939610*Sqrt[105]*lu1^3*f44[t]*g42n[t] + 268106020*Sqrt[105]*lu1^4*f44[t]*g42n[t] + 901779944*Sqrt[105]*lu1^5* f44[t]*g42n[t] - 474172816*Sqrt[105]*lu1^6*f44[t]*g42n[t] + Sqrt[3]*(-2 + lu1)*f42n[t]*(lu1^2*(-109889780*Sqrt[2*Pi] + 750034285*Sqrt[10]*f20[t] + 12632910570*Sqrt[2]*f40[t] - 4114500268*Sqrt[35]*f44[t] - 22849255*Sqrt[10]*g20[t] + 24578905*Sqrt[2]*g40[t] - 1272726*Sqrt[35]*g44[t]) + 3*(-660660*Sqrt[2*Pi] + 855855*Sqrt[10]*f20[t] + 14409010*Sqrt[2]* f40[t] - 10237788*Sqrt[35]*f44[t] + 358215*Sqrt[10]*g20[t] + 373035*Sqrt[2]*g40[t] + 34398*Sqrt[35]*g44[t]) - 4*lu1*(11561550*Sqrt[2*Pi] - 52084032*Sqrt[10]*f20[t] - 550932270*Sqrt[2]*f40[t] + 148346876*Sqrt[35]*f44[t] + 3258255*Sqrt[10]*g20[t] - 2197650*Sqrt[2]*g40[t] + 206388*Sqrt[35]*g44[t]) + 8*lu1^5*(355655300*Sqrt[2*Pi] + 1928927*Sqrt[10]*f20[t] - 2566559590*Sqrt[2]*f40[t] + 127041620*Sqrt[35]*f44[t] + 41665195*Sqrt[10]*g20[t] - 94224325*Sqrt[2]*g40[t] + 1379742*Sqrt[35]*g44[t]) + 2*lu1^3*(1042301260*Sqrt[2*Pi] + 419187769*Sqrt[10]*f20[t] + 15538333300*Sqrt[2]*f40[t] - 1968610216*Sqrt[35]*f44[t] + 138549125*Sqrt[10]*g20[t] - 268664435*Sqrt[2]*g40[t] + 5438706*Sqrt[35]*g44[t]) + 4*lu1^4*(1423281860*Sqrt[2*Pi] + 77484407*Sqrt[10]*f20[t] + 1270113180*Sqrt[2]*f40[t] + 2152810120*Sqrt[35]*f44[t] + 172698955*Sqrt[10]*g20[t] - 374362885*Sqrt[2]*g40[t] + 6027294*Sqrt[35]*g44[t])) + 206388*Sqrt[105]*f42[t]*g44n[t] - 1754298*Sqrt[105]*lu1*f42[t]* g44n[t] - 1719900*Sqrt[105]*lu1^2*f42[t]*g44n[t] + 23027550*Sqrt[105]*lu1^3*f42[t]*g44n[t] + 37340940*Sqrt[105]*lu1^4* f42[t]*g44n[t] - 2033304*Sqrt[105]*lu1^5*f42[t]*g44n[t] - 11037936*Sqrt[105]*lu1^6*f42[t]*g44n[t]) - 12012*cap*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (462*(-3 + 43*lu1 + 355*lu1^2 - 3847*lu1^3 + 968*lu1^4 + 19380*lu1^5)* Sqrt[Pi]*f20[t] - 165*Sqrt[5]*(-15 + 157*lu1 + 1969*lu1^2 - 7333*lu1^3 + 36974*lu1^4 + 2040*lu1^5)*f20[t]^2 - 4950*Sqrt[5]*f22[t]^2 + 51810*Sqrt[5]*lu1*f22[t]^2 + 649770*Sqrt[5]*lu1^2*f22[t]^2 - 2419890*Sqrt[5]*lu1^3*f22[t]^2 + 12201420*Sqrt[5]*lu1^4*f22[t]^2 + 673200*Sqrt[5]*lu1^5*f22[t]^2 - 4950*Sqrt[5]*f22n[t]^2 + 51810*Sqrt[5]*lu1*f22n[t]^2 + 649770*Sqrt[5]*lu1^2*f22n[t]^2 - 2419890*Sqrt[5]*lu1^3*f22n[t]^2 + 12201420*Sqrt[5]*lu1^4*f22n[t]^2 + 673200*Sqrt[5]*lu1^5*f22n[t]^2 + 37350*Sqrt[5]*f40[t]^2 - 229170*Sqrt[5]*lu1*f40[t]^2 + 620880*Sqrt[5]*lu1^2*f40[t]^2 - 2768190*Sqrt[5]*lu1^3*f40[t]^2 - 9536010*Sqrt[5]*lu1^4*f40[t]^2 + 1829700*Sqrt[5]*lu1^5*f40[t]^2 + 11836*Sqrt[15]*f22[t]*f42[t] - 88726*Sqrt[15]*lu1*f22[t]*f42[t] - 504240*Sqrt[15]*lu1^2*f22[t]*f42[t] - 6578726*Sqrt[15]*lu1^3*f22[t]* f42[t] + 5693864*Sqrt[15]*lu1^4*f22[t]*f42[t] + 10387080*Sqrt[15]*lu1^5*f22[t]*f42[t] + 29880*Sqrt[5]*f42[t]^2 - 183336*Sqrt[5]*lu1*f42[t]^2 + 496704*Sqrt[5]*lu1^2*f42[t]^2 - 2214552*Sqrt[5]*lu1^3*f42[t]^2 - 7628808*Sqrt[5]*lu1^4*f42[t]^2 + 1463760*Sqrt[5]*lu1^5*f42[t]^2 + 11836*Sqrt[15]*f22n[t]*f42n[t] - 88726*Sqrt[15]*lu1*f22n[t]*f42n[t] - 504240*Sqrt[15]*lu1^2*f22n[t]* f42n[t] - 6578726*Sqrt[15]*lu1^3*f22n[t]*f42n[t] + 5693864*Sqrt[15]*lu1^4*f22n[t]*f42n[t] + 10387080*Sqrt[15]*lu1^5* f22n[t]*f42n[t] + 29880*Sqrt[5]*f42n[t]^2 - 183336*Sqrt[5]*lu1* f42n[t]^2 + 496704*Sqrt[5]*lu1^2*f42n[t]^2 - 2214552*Sqrt[5]*lu1^3* f42n[t]^2 - 7628808*Sqrt[5]*lu1^4*f42n[t]^2 + 1463760*Sqrt[5]*lu1^5* f42n[t]^2 - 104580*Sqrt[5]*f44[t]^2 + 641676*Sqrt[5]*lu1*f44[t]^2 - 1738464*Sqrt[5]*lu1^2*f44[t]^2 + 7750932*Sqrt[5]*lu1^3*f44[t]^2 + 26700828*Sqrt[5]*lu1^4*f44[t]^2 - 5123160*Sqrt[5]*lu1^5*f44[t]^2 - 104580*Sqrt[5]*f44n[t]^2 + 641676*Sqrt[5]*lu1*f44n[t]^2 - 1738464*Sqrt[5]*lu1^2*f44n[t]^2 + 7750932*Sqrt[5]*lu1^3*f44n[t]^2 + 26700828*Sqrt[5]*lu1^4*f44n[t]^2 - 5123160*Sqrt[5]*lu1^5*f44n[t]^2 - 4455*f40[t]*g20[t] + 60885*lu1*f40[t]*g20[t] - 163845*lu1^2*f40[t]* g20[t] - 635085*lu1^3*f40[t]*g20[t] + 1730520*lu1^4*f40[t]*g20[t] + 3573900*lu1^5*f40[t]*g20[t] + 198*Sqrt[5]*f22[t]*g22[t] - 2838*Sqrt[5]*lu1*f22[t]*g22[t] - 23430*Sqrt[5]*lu1^2*f22[t]*g22[t] + 253902*Sqrt[5]*lu1^3*f22[t]*g22[t] - 63888*Sqrt[5]*lu1^4*f22[t]* g22[t] - 1279080*Sqrt[5]*lu1^5*f22[t]*g22[t] - 1485*Sqrt[15]*f42[t]*g22[t] + 20295*Sqrt[15]*lu1*f42[t]*g22[t] - 54615*Sqrt[15]*lu1^2*f42[t]*g22[t] - 211695*Sqrt[15]*lu1^3*f42[t]* g22[t] + 576840*Sqrt[15]*lu1^4*f42[t]*g22[t] + 1191300*Sqrt[15]*lu1^5*f42[t]*g22[t] + 198*Sqrt[5]*f22n[t]*g22n[t] - 2838*Sqrt[5]*lu1*f22n[t]*g22n[t] - 23430*Sqrt[5]*lu1^2*f22n[t]* g22n[t] + 253902*Sqrt[5]*lu1^3*f22n[t]*g22n[t] - 63888*Sqrt[5]*lu1^4*f22n[t]*g22n[t] - 1279080*Sqrt[5]*lu1^5*f22n[t]* g22n[t] - 1485*Sqrt[15]*f42n[t]*g22n[t] + 20295*Sqrt[15]*lu1* f42n[t]*g22n[t] - 54615*Sqrt[15]*lu1^2*f42n[t]*g22n[t] - 211695*Sqrt[15]*lu1^3*f42n[t]*g22n[t] + 576840*Sqrt[15]*lu1^4* f42n[t]*g22n[t] + 1191300*Sqrt[15]*lu1^5*f42n[t]*g22n[t] + 33*f20[t]*(2*(538 - 4033*lu1 - 22920*lu1^2 - 299033*lu1^3 + 258812*lu1^4 + 472140*lu1^5)*f40[t] + (-3 + 43*lu1 + 355*lu1^2 - 3847*lu1^3 + 968*lu1^4 + 19380*lu1^5)* (Sqrt[5]*g20[t] - 4*g40[t])) - 405*Sqrt[5]*f40[t]*g40[t] + 5535*Sqrt[5]*lu1*f40[t]*g40[t] - 14895*Sqrt[5]*lu1^2*f40[t]*g40[t] - 57735*Sqrt[5]*lu1^3*f40[t]*g40[t] + 157320*Sqrt[5]*lu1^4*f40[t]* g40[t] + 324900*Sqrt[5]*lu1^5*f40[t]*g40[t] + 132*Sqrt[15]*f22[t]* g42[t] - 1892*Sqrt[15]*lu1*f22[t]*g42[t] - 15620*Sqrt[15]*lu1^2* f22[t]*g42[t] + 169268*Sqrt[15]*lu1^3*f22[t]*g42[t] - 42592*Sqrt[15]*lu1^4*f22[t]*g42[t] - 852720*Sqrt[15]*lu1^5*f22[t]* g42[t] - 324*Sqrt[5]*f42[t]*g42[t] + 4428*Sqrt[5]*lu1*f42[t]* g42[t] - 11916*Sqrt[5]*lu1^2*f42[t]*g42[t] - 46188*Sqrt[5]*lu1^3* f42[t]*g42[t] + 125856*Sqrt[5]*lu1^4*f42[t]*g42[t] + 259920*Sqrt[5]*lu1^5*f42[t]*g42[t] + 132*Sqrt[15]*f22n[t]*g42n[t] - 1892*Sqrt[15]*lu1*f22n[t]*g42n[t] - 15620*Sqrt[15]*lu1^2*f22n[t]* g42n[t] + 169268*Sqrt[15]*lu1^3*f22n[t]*g42n[t] - 42592*Sqrt[15]*lu1^4*f22n[t]*g42n[t] - 852720*Sqrt[15]*lu1^5*f22n[t]* g42n[t] - 324*Sqrt[5]*f42n[t]*g42n[t] + 4428*Sqrt[5]*lu1*f42n[t]* g42n[t] - 11916*Sqrt[5]*lu1^2*f42n[t]*g42n[t] - 46188*Sqrt[5]*lu1^3*f42n[t]*g42n[t] + 125856*Sqrt[5]*lu1^4*f42n[t]* g42n[t] + 259920*Sqrt[5]*lu1^5*f42n[t]*g42n[t] + 1134*Sqrt[5]*f44[t]*g44[t] - 15498*Sqrt[5]*lu1*f44[t]*g44[t] + 41706*Sqrt[5]*lu1^2*f44[t]*g44[t] + 161658*Sqrt[5]*lu1^3*f44[t]* g44[t] - 440496*Sqrt[5]*lu1^4*f44[t]*g44[t] - 909720*Sqrt[5]*lu1^5* f44[t]*g44[t] + 1134*Sqrt[5]*f44n[t]*g44n[t] - 15498*Sqrt[5]*lu1*f44n[t]*g44n[t] + 41706*Sqrt[5]*lu1^2*f44n[t]* g44n[t] + 161658*Sqrt[5]*lu1^3*f44n[t]*g44n[t] - 440496*Sqrt[5]*lu1^4*f44n[t]*g44n[t] - 909720*Sqrt[5]*lu1^5*f44n[t]* g44n[t]) + 1001*(3 + 8*lu1 + 4*lu1^2)*mar*Sqrt[Pi]* (-495*Sqrt[5]*(-9 + 643*lu1 - 3807*lu1^2 - 90107*lu1^3 + 220212*lu1^4 + 75820*lu1^5)*f20[t]^2 - 8910*Sqrt[5]*f22[t]^2 + 636570*Sqrt[5]*lu1*f22[t]^2 - 3768930*Sqrt[5]*lu1^2*f22[t]^2 - 89205930*Sqrt[5]*lu1^3*f22[t]^2 + 218009880*Sqrt[5]*lu1^4*f22[t]^2 + 75061800*Sqrt[5]*lu1^5*f22[t]^2 - 8910*Sqrt[5]*f22n[t]^2 + 636570*Sqrt[5]*lu1*f22n[t]^2 - 3768930*Sqrt[5]*lu1^2*f22n[t]^2 - 89205930*Sqrt[5]*lu1^3*f22n[t]^2 + 218009880*Sqrt[5]*lu1^4* f22n[t]^2 + 75061800*Sqrt[5]*lu1^5*f22n[t]^2 + 344790*Sqrt[5]*f40[t]^2 - 5440770*Sqrt[5]*lu1*f40[t]^2 + 22117170*Sqrt[5]*lu1^2*f40[t]^2 + 6630450*Sqrt[5]*lu1^3*f40[t]^2 - 107122080*Sqrt[5]*lu1^4*f40[t]^2 + 34257000*Sqrt[5]*lu1^5*f40[t]^2 + 71412*Sqrt[15]*f22[t]*f42[t] - 1932612*Sqrt[15]*lu1*f22[t]*f42[t] + 12501500*Sqrt[15]*lu1^2*f22[t]*f42[t] + 51497908*Sqrt[15]*lu1^3* f22[t]*f42[t] + 249183088*Sqrt[15]*lu1^4*f22[t]*f42[t] - 25846480*Sqrt[15]*lu1^5*f22[t]*f42[t] + 275832*Sqrt[5]*f42[t]^2 - 4352616*Sqrt[5]*lu1*f42[t]^2 + 17693736*Sqrt[5]*lu1^2*f42[t]^2 + 5304360*Sqrt[5]*lu1^3*f42[t]^2 - 85697664*Sqrt[5]*lu1^4*f42[t]^2 + 27405600*Sqrt[5]*lu1^5*f42[t]^2 + 71412*Sqrt[15]*f22n[t]*f42n[t] - 1932612*Sqrt[15]*lu1*f22n[t]*f42n[t] + 12501500*Sqrt[15]*lu1^2* f22n[t]*f42n[t] + 51497908*Sqrt[15]*lu1^3*f22n[t]*f42n[t] + 249183088*Sqrt[15]*lu1^4*f22n[t]*f42n[t] - 25846480*Sqrt[15]*lu1^5* f22n[t]*f42n[t] + 275832*Sqrt[5]*f42n[t]^2 - 4352616*Sqrt[5]*lu1* f42n[t]^2 + 17693736*Sqrt[5]*lu1^2*f42n[t]^2 + 5304360*Sqrt[5]*lu1^3*f42n[t]^2 - 85697664*Sqrt[5]*lu1^4*f42n[t]^2 + 27405600*Sqrt[5]*lu1^5*f42n[t]^2 - 965412*Sqrt[5]*f44[t]^2 + 15234156*Sqrt[5]*lu1*f44[t]^2 - 61928076*Sqrt[5]*lu1^2*f44[t]^2 - 18565260*Sqrt[5]*lu1^3*f44[t]^2 + 299941824*Sqrt[5]*lu1^4*f44[t]^2 - 95919600*Sqrt[5]*lu1^5*f44[t]^2 - 965412*Sqrt[5]*f44n[t]^2 + 15234156*Sqrt[5]*lu1*f44n[t]^2 - 61928076*Sqrt[5]*lu1^2*f44n[t]^2 - 18565260*Sqrt[5]*lu1^3*f44n[t]^2 + 299941824*Sqrt[5]*lu1^4* f44n[t]^2 - 95919600*Sqrt[5]*lu1^5*f44n[t]^2 + 45936*f40[t]*g20[t] + 1439064*lu1*f40[t]*g20[t] - 26691720*lu1^2*f40[t]*g20[t] - 207279336*lu1^3*f40[t]*g20[t] - 209338536*lu1^4*f40[t]*g20[t] + 401071440*lu1^5*f40[t]*g20[t] - 297*Sqrt[5]*g20[t]^2 + 1287*Sqrt[5]*lu1*g20[t]^2 + 68805*Sqrt[5]*lu1^2*g20[t]^2 + 71577*Sqrt[5]*lu1^3*g20[t]^2 - 2355408*Sqrt[5]*lu1^4*g20[t]^2 - 4476780*Sqrt[5]*lu1^5*g20[t]^2 + 1386*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Sqrt[Pi]* ((-2 + 26*lu1)*f20[t] - (1 + 7*lu1)*g20[t]) - 25542*Sqrt[5]*f22[t]* g22[t] - 29898*Sqrt[5]*lu1*f22[t]*g22[t] + 6121170*Sqrt[5]*lu1^2* f22[t]*g22[t] + 33774642*Sqrt[5]*lu1^3*f22[t]*g22[t] - 57761748*Sqrt[5]*lu1^4*f22[t]*g22[t] - 89131680*Sqrt[5]*lu1^5*f22[t]* g22[t] + 15312*Sqrt[15]*f42[t]*g22[t] + 479688*Sqrt[15]*lu1*f42[t]* g22[t] - 8897240*Sqrt[15]*lu1^2*f42[t]*g22[t] - 69093112*Sqrt[15]*lu1^3*f42[t]*g22[t] - 69779512*Sqrt[15]*lu1^4* f42[t]*g22[t] + 133690480*Sqrt[15]*lu1^5*f42[t]*g22[t] + 594*Sqrt[5]*g22[t]^2 - 2574*Sqrt[5]*lu1*g22[t]^2 - 137610*Sqrt[5]*lu1^2*g22[t]^2 - 143154*Sqrt[5]*lu1^3*g22[t]^2 + 4710816*Sqrt[5]*lu1^4*g22[t]^2 + 8953560*Sqrt[5]*lu1^5*g22[t]^2 - 25542*Sqrt[5]*f22n[t]*g22n[t] - 29898*Sqrt[5]*lu1*f22n[t]*g22n[t] + 6121170*Sqrt[5]*lu1^2*f22n[t]*g22n[t] + 33774642*Sqrt[5]*lu1^3* f22n[t]*g22n[t] - 57761748*Sqrt[5]*lu1^4*f22n[t]*g22n[t] - 89131680*Sqrt[5]*lu1^5*f22n[t]*g22n[t] + 15312*Sqrt[15]*f42n[t]* g22n[t] + 479688*Sqrt[15]*lu1*f42n[t]*g22n[t] - 8897240*Sqrt[15]*lu1^2*f42n[t]*g22n[t] - 69093112*Sqrt[15]*lu1^3* f42n[t]*g22n[t] - 69779512*Sqrt[15]*lu1^4*f42n[t]*g22n[t] + 133690480*Sqrt[15]*lu1^5*f42n[t]*g22n[t] + 594*Sqrt[5]*g22n[t]^2 - 2574*Sqrt[5]*lu1*g22n[t]^2 - 137610*Sqrt[5]*lu1^2*g22n[t]^2 - 143154*Sqrt[5]*lu1^3*g22n[t]^2 + 4710816*Sqrt[5]*lu1^4*g22n[t]^2 + 8953560*Sqrt[5]*lu1^5*g22n[t]^2 + 49950*Sqrt[5]*f40[t]*g40[t] + 1425690*Sqrt[5]*lu1*f40[t]*g40[t] - 8367210*Sqrt[5]*lu1^2*f40[t]* g40[t] - 21370770*Sqrt[5]*lu1^3*f40[t]*g40[t] + 21922020*Sqrt[5]*lu1^4*f40[t]*g40[t] + 41176800*Sqrt[5]*lu1^5*f40[t]* g40[t] - 1782*g20[t]*g40[t] - 142758*lu1*g20[t]*g40[t] + 1159950*lu1^2*g20[t]*g40[t] + 458502*lu1^3*g20[t]*g40[t] - 8987088*lu1^4*g20[t]*g40[t] - 8301480*lu1^5*g20[t]*g40[t] - 270*Sqrt[5]*g40[t]^2 - 12510*Sqrt[5]*lu1*g40[t]^2 + 130470*Sqrt[5]*lu1^2*g40[t]^2 + 67710*Sqrt[5]*lu1^3*g40[t]^2 - 1673520*Sqrt[5]*lu1^4*g40[t]^2 - 2382600*Sqrt[5]*lu1^5*g40[t]^2 - 33*f20[t]*(4*(-1623 + 43923*lu1 - 284125*lu1^2 - 1170407*lu1^3 - 5663252*lu1^4 + 587420*lu1^5)*f40[t] - 3*Sqrt[5]* (129 + 151*lu1 - 30915*lu1^2 - 170579*lu1^3 + 291726*lu1^4 + 450160*lu1^5)*g20[t] - 2*(387 + 11583*lu1 - 128215*lu1^2 + 99913*lu1^3 + 909928*lu1^4 + 221540*lu1^5)*g40[t]) + 8514*Sqrt[15]*f22[t]*g42[t] + 254826*Sqrt[15]*lu1*f22[t]*g42[t] - 2820730*Sqrt[15]*lu1^2*f22[t]*g42[t] + 2198086*Sqrt[15]*lu1^3*f22[t]* g42[t] + 20018416*Sqrt[15]*lu1^4*f22[t]*g42[t] + 4873880*Sqrt[15]*lu1^5*f22[t]*g42[t] + 39960*Sqrt[5]*f42[t]*g42[t] + 1140552*Sqrt[5]*lu1*f42[t]*g42[t] - 6693768*Sqrt[5]*lu1^2*f42[t]* g42[t] - 17096616*Sqrt[5]*lu1^3*f42[t]*g42[t] + 17537616*Sqrt[5]*lu1^4*f42[t]*g42[t] + 32941440*Sqrt[5]*lu1^5*f42[t]* g42[t] - 594*Sqrt[15]*g22[t]*g42[t] - 47586*Sqrt[15]*lu1*g22[t]* g42[t] + 386650*Sqrt[15]*lu1^2*g22[t]*g42[t] + 152834*Sqrt[15]*lu1^3*g22[t]*g42[t] - 2995696*Sqrt[15]*lu1^4*g22[t]* g42[t] - 2767160*Sqrt[15]*lu1^5*g22[t]*g42[t] - 216*Sqrt[5]*g42[t]^2 - 10008*Sqrt[5]*lu1*g42[t]^2 + 104376*Sqrt[5]*lu1^2*g42[t]^2 + 54168*Sqrt[5]*lu1^3*g42[t]^2 - 1338816*Sqrt[5]*lu1^4*g42[t]^2 - 1906080*Sqrt[5]*lu1^5*g42[t]^2 + 8514*Sqrt[15]*f22n[t]*g42n[t] + 254826*Sqrt[15]*lu1*f22n[t]* g42n[t] - 2820730*Sqrt[15]*lu1^2*f22n[t]*g42n[t] + 2198086*Sqrt[15]*lu1^3*f22n[t]*g42n[t] + 20018416*Sqrt[15]*lu1^4* f22n[t]*g42n[t] + 4873880*Sqrt[15]*lu1^5*f22n[t]*g42n[t] + 39960*Sqrt[5]*f42n[t]*g42n[t] + 1140552*Sqrt[5]*lu1*f42n[t]* g42n[t] - 6693768*Sqrt[5]*lu1^2*f42n[t]*g42n[t] - 17096616*Sqrt[5]*lu1^3*f42n[t]*g42n[t] + 17537616*Sqrt[5]*lu1^4* f42n[t]*g42n[t] + 32941440*Sqrt[5]*lu1^5*f42n[t]*g42n[t] - 594*Sqrt[15]*g22n[t]*g42n[t] - 47586*Sqrt[15]*lu1*g22n[t]*g42n[t] + 386650*Sqrt[15]*lu1^2*g22n[t]*g42n[t] + 152834*Sqrt[15]*lu1^3* g22n[t]*g42n[t] - 2995696*Sqrt[15]*lu1^4*g22n[t]*g42n[t] - 2767160*Sqrt[15]*lu1^5*g22n[t]*g42n[t] - 216*Sqrt[5]*g42n[t]^2 - 10008*Sqrt[5]*lu1*g42n[t]^2 + 104376*Sqrt[5]*lu1^2*g42n[t]^2 + 54168*Sqrt[5]*lu1^3*g42n[t]^2 - 1338816*Sqrt[5]*lu1^4*g42n[t]^2 - 1906080*Sqrt[5]*lu1^5*g42n[t]^2 - 139860*Sqrt[5]*f44[t]*g44[t] - 3991932*Sqrt[5]*lu1*f44[t]*g44[t] + 23428188*Sqrt[5]*lu1^2*f44[t]* g44[t] + 59838156*Sqrt[5]*lu1^3*f44[t]*g44[t] - 61381656*Sqrt[5]*lu1^4*f44[t]*g44[t] - 115295040*Sqrt[5]*lu1^5* f44[t]*g44[t] + 756*Sqrt[5]*g44[t]^2 + 35028*Sqrt[5]*lu1*g44[t]^2 - 365316*Sqrt[5]*lu1^2*g44[t]^2 - 189588*Sqrt[5]*lu1^3*g44[t]^2 + 4685856*Sqrt[5]*lu1^4*g44[t]^2 + 6671280*Sqrt[5]*lu1^5*g44[t]^2 - 139860*Sqrt[5]*f44n[t]*g44n[t] - 3991932*Sqrt[5]*lu1*f44n[t]* g44n[t] + 23428188*Sqrt[5]*lu1^2*f44n[t]*g44n[t] + 59838156*Sqrt[5]*lu1^3*f44n[t]*g44n[t] - 61381656*Sqrt[5]*lu1^4* f44n[t]*g44n[t] - 115295040*Sqrt[5]*lu1^5*f44n[t]*g44n[t] + 756*Sqrt[5]*g44n[t]^2 + 35028*Sqrt[5]*lu1*g44n[t]^2 - 365316*Sqrt[5]*lu1^2*g44n[t]^2 - 189588*Sqrt[5]*lu1^3*g44n[t]^2 + 4685856*Sqrt[5]*lu1^4*g44n[t]^2 + 6671280*Sqrt[5]*lu1^5*g44n[t]^2))/ (231231*(3 - 19*lu1)^2*(1 + 2*lu1)^3*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) + (mar*(42471*(541647 - 41838660*lu1 + 322639533*lu1^2 + 29782877622*lu1^3 - 401120277439*lu1^4 - 3846574666864*lu1^5 + 42760040119675*lu1^6 + 193094512188366*lu1^7 + 63049295137464*lu1^8 + 380243318753712*lu1^9 - 2828961912185936*lu1^10 - 6030475826112800*lu1^11 - 879262408998400*lu1^12 + 1174708328640000*lu1^13)*f20[t]^3 + 1269065106450*Sqrt[5]*f40[t]^3 - 29436015802500*Sqrt[5]*lu1* f40[t]^3 - 591455871058050*Sqrt[5]*lu1^2*f40[t]^3 + 5991516194988600*Sqrt[5]*lu1^3*f40[t]^3 + 73960046339638950*Sqrt[5]* lu1^4*f40[t]^3 + 271066460644777500*Sqrt[5]*lu1^5*f40[t]^3 - 10405286080453637550*Sqrt[5]*lu1^6*f40[t]^3 + 5053289154458936400* Sqrt[5]*lu1^7*f40[t]^3 + 156098291607686986200*Sqrt[5]*lu1^8* f40[t]^3 + 216744495890146970400*Sqrt[5]*lu1^9*f40[t]^3 - 171809866835807392800*Sqrt[5]*lu1^10*f40[t]^3 - 596447155855209369600*Sqrt[5]*lu1^11*f40[t]^3 - 490239611933546160000*Sqrt[5]*lu1^12*f40[t]^3 - 135964380417203520000*Sqrt[5]*lu1^13*f40[t]^3 + 75810402900*Sqrt[15]*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) - 1452594199860*Sqrt[15]*lu1* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) - 76798100096100*Sqrt[15]*lu1^2*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) - 613764316721700*Sqrt[15]*lu1^3* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) + 80730946614652020*Sqrt[15]*lu1^4*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) - 514927022496136380*Sqrt[15]*lu1^5* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) - 2068918769861751180*Sqrt[15]*lu1^6*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) + 29442246521349342900*Sqrt[15]*lu1^7* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) + 229439768874767092200*Sqrt[15]*lu1^8*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) + 575078581996925147040*Sqrt[15]*lu1^9* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) + 271986426659912456640*Sqrt[15]*lu1^10*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) - 615000071562341997120*Sqrt[15]*lu1^11* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) - 594470030116505692800*Sqrt[15]*lu1^12*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) - 80005108147159104000*Sqrt[15]*lu1^13* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) - 2791943234190*Sqrt[5]*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) + 64759234765500*Sqrt[5]*lu1*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 1301202916327710*Sqrt[5]* lu1^2*f40[t]*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 13181335628974920*Sqrt[5]*lu1^3*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) - 162712101947205690*Sqrt[5]*lu1^4*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 596346213418510500* Sqrt[5]*lu1^5*f40[t]*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 22891629376998002610*Sqrt[5]*lu1^6*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) - 11117236139809660080*Sqrt[5]*lu1^7*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 343416241536911369640* Sqrt[5]*lu1^8*f40[t]*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 476837890958323334880*Sqrt[5]*lu1^9*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) + 377981707038776264160*Sqrt[5]*lu1^10*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 1312183742881460613120* Sqrt[5]*lu1^11*f40[t]*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 1078527146253801552000*Sqrt[5]*lu1^12*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) + 299121636917847744000*Sqrt[5]*lu1^13*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 634532553225*Sqrt[14]* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) + 14718007901250*Sqrt[14]*lu1*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) + 295727935529025*Sqrt[14]*lu1^2* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 2995758097494300*Sqrt[14]*lu1^3*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) - 36980023169819475*Sqrt[14]*lu1^4* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 135533230322388750*Sqrt[14]*lu1^5*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) + 5202643040226818775*Sqrt[14]*lu1^6* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 2526644577229468200* Sqrt[14]*lu1^7*(f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 78049145803843493100*Sqrt[14]*lu1^8*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) - 108372247945073485200*Sqrt[14]*lu1^9* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) + 85904933417903696400* Sqrt[14]*lu1^10*(f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) + 298223577927604684800*Sqrt[14]*lu1^11*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) + 245119805966773080000*Sqrt[14]*lu1^12* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) + 67982190208601760000* Sqrt[14]*lu1^13*(f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 67631978700*Sqrt[14]*(f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 4123946455200*Sqrt[14]*lu1*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) - 14910774510060*Sqrt[14]*lu1^2* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) - 2730636149412600*Sqrt[14]*lu1^3*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) + 32653875580197300*Sqrt[14]*lu1^4* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 279776032977870000*Sqrt[14]*lu1^5*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) - 2571738548878124340*Sqrt[14]*lu1^6* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) - 13491698356639708920* Sqrt[14]*lu1^7*(f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) - 49264167551463750600*Sqrt[14]*lu1^8*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) - 27841750667331400800*Sqrt[14]*lu1^9* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 60339690397703059200* Sqrt[14]*lu1^10*(f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 38994538036192801920*Sqrt[14]*lu1^11*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) + 1112112355783228800*Sqrt[14]*lu1^12* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 9808708251101760000* Sqrt[14]*lu1^13*(f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 236791568700*Sqrt[42]*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) - 8846625121020*Sqrt[42]*lu1* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 46069529561100*Sqrt[42]*lu1^2*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 3750640656135060* Sqrt[42]*lu1^3*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) - 32706820762738020*Sqrt[42]*lu1^4* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 176518203833056020*Sqrt[42]*lu1^5*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 56167913551865340* Sqrt[42]*lu1^6*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) + 21184504279199425500*Sqrt[42]*lu1^7* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 174169474760248838520*Sqrt[42]*lu1^8*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 349845467135134712160* Sqrt[42]*lu1^9*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) - 68075981901768930240*Sqrt[42]*lu1^10* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 549744285298219650240*Sqrt[42]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 298727564446331260800* Sqrt[42]*lu1^12*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) - 71462972170908864000*Sqrt[42]*lu1^13* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 634532553225*Sqrt[14]*(f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) + 14718007901250*Sqrt[14]*lu1*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) + 295727935529025*Sqrt[14]*lu1^2* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 2995758097494300*Sqrt[14]*lu1^3*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 36980023169819475*Sqrt[14]*lu1^4* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 135533230322388750*Sqrt[14]*lu1^5*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) + 5202643040226818775*Sqrt[14]*lu1^6* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 2526644577229468200* Sqrt[14]*lu1^7*(f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 78049145803843493100*Sqrt[14]*lu1^8*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 108372247945073485200*Sqrt[14]*lu1^9* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) + 85904933417903696400* Sqrt[14]*lu1^10*(f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) + 298223577927604684800*Sqrt[14]*lu1^11*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) + 245119805966773080000*Sqrt[14]*lu1^12* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) + 67982190208601760000* Sqrt[14]*lu1^13*(f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 3553382298060*Sqrt[5]*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) + 82420844247000*Sqrt[5]*lu1*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) + 1656076438962540*Sqrt[5]* lu1^2*f40[t]*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 16776245345968080*Sqrt[5]*lu1^3*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) - 207088129750989060*Sqrt[5]*lu1^4*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 758986089805377000* Sqrt[5]*lu1^5*f40[t]*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) + 29134801025270185140*Sqrt[5]*lu1^6*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) - 14149209632485021920*Sqrt[5]*lu1^7*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 437075216501523561360* Sqrt[5]*lu1^8*f40[t]*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 606884588492411517120*Sqrt[5]*lu1^9*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) + 481067627140260699840*Sqrt[5]*lu1^10*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) + 1670052036394586234880* Sqrt[5]*lu1^11*f40[t]*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) + 1372670913413929248000*Sqrt[5]*lu1^12*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) + 380700265168169856000*Sqrt[5]*lu1^13*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) + 361461674043*f40[t]^2* g20[t] + 5753005687170*lu1*f40[t]^2*g20[t] - 681716117564703*lu1^2* f40[t]^2*g20[t] - 4611247172614872*lu1^3*f40[t]^2*g20[t] + 240030339373471329*lu1^4*f40[t]^2*g20[t] + 1528771543271123994*lu1^5* f40[t]^2*g20[t] - 17485291920869502225*lu1^6*f40[t]^2*g20[t] - 196237511291410193556*lu1^7*f40[t]^2*g20[t] - 733220271379784347164* lu1^8*f40[t]^2*g20[t] - 989400486897428695632*lu1^9*f40[t]^2* g20[t] + 246644475521253331536*lu1^10*f40[t]^2*g20[t] + 1302644575658242272960*lu1^11*f40[t]^2*g20[t] + 515298155353820606400*lu1^12*f40[t]^2*g20[t] - 47308542509251296000* lu1^13*f40[t]^2*g20[t] - 59948279820*Sqrt[3]*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 166198675500*Sqrt[3]*lu1* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 91985377667040*Sqrt[3]*lu1^2*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 28155250712160*Sqrt[3]*lu1^3* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] - 37621724636350140*Sqrt[3]*lu1^4*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] - 83710004099616180*Sqrt[3]*lu1^5* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 3613030765345744600*Sqrt[3]*lu1^6*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 29503518951124955880*Sqrt[3]*lu1^7* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 49645942410469239120*Sqrt[3]*lu1^8*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] - 78535324475918618880*Sqrt[3]*lu1^9* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] - 195962954206777380480*Sqrt[3]*lu1^10*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] - 8112217810625385600*Sqrt[3]*lu1^11* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 138479442957311456000*Sqrt[3]*lu1^12*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 53608020403217280000*Sqrt[3]*lu1^13* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 288969009354*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 2686567260240*lu1*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] - 503974315110474*lu1^2*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g20[t] - 1217349879967476*lu1^3*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 140444406494963262*lu1^4* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 1048641297159870792*lu1^5*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g20[t] - 11291871019356078150*lu1^6*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] - 142638777043191572148*lu1^7* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] - 655524069875206226712*lu1^8*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g20[t] - 1324083010907323232496*lu1^9*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] - 551923499936134474272*lu1^10* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 1357170179748629808960*lu1^11*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 1166271726654209596800*lu1^12* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] - 35583928807059360000*lu1^13*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g20[t] + 325089156294*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* g20[t] + 12545575165620*lu1*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] - 661183509975534*lu1^2* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] - 11727527524727616*lu1^3*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* g20[t] + 216321754504847922*lu1^4*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] + 2090339673735285252*lu1^5* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] - 5873224116010497330*lu1^6*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* g20[t] - 53440634274415575768*lu1^7*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] - 125237900453762715192*lu1^8* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] - 143923554159931447776*lu1^9*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* g20[t] - 48001802698056124512*lu1^10*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] + 73148248233663281280*lu1^11* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] + 72191761810367203200*lu1^12*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* g20[t] + 17604010495012032000*lu1^13*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] - 2136438018*Sqrt[5]*f40[t]*g20[t]^2 - 51193616760*Sqrt[5]*lu1*f40[t]*g20[t]^2 + 4204874629098*Sqrt[5]*lu1^2* f40[t]*g20[t]^2 + 50002938151452*Sqrt[5]*lu1^3*f40[t]*g20[t]^2 - 1757328869801934*Sqrt[5]*lu1^4*f40[t]*g20[t]^2 - 8581282532160624*Sqrt[5]*lu1^5*f40[t]*g20[t]^2 + 162823166840861670*Sqrt[5]*lu1^6*f40[t]*g20[t]^2 + 531270447286946796*Sqrt[5]*lu1^7*f40[t]*g20[t]^2 - 2781519150357151776*Sqrt[5]*lu1^8*f40[t]*g20[t]^2 - 15045565036827824928*Sqrt[5]*lu1^9*f40[t]*g20[t]^2 - 20338619870641396896*Sqrt[5]*lu1^10*f40[t]*g20[t]^2 + 2043083700663445440*Sqrt[5]*lu1^11*f40[t]*g20[t]^2 + 20025530564310585600*Sqrt[5]*lu1^12*f40[t]*g20[t]^2 + 8984908576740096000*Sqrt[5]*lu1^13*f40[t]*g20[t]^2 + 21854624742*Sqrt[15]*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) - 886556729070*Sqrt[15]*lu1*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 30789779083362*Sqrt[15]* lu1^2*f40[t]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 1032412710781962*Sqrt[15]*lu1^3*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + 10160570430973866*Sqrt[15]*lu1^4*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 26357984747516034* Sqrt[15]*lu1^5*f40[t]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 2270138891470163430*Sqrt[15]*lu1^6*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) - 28622827833339967074*Sqrt[15]*lu1^7*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 128015679262566499656* Sqrt[15]*lu1^8*f40[t]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 213026460122798853528*Sqrt[15]*lu1^9*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) - 8162802661054688256*Sqrt[15]*lu1^10*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 265260634068923539680* Sqrt[15]*lu1^11*f40[t]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 151073614709733158400*Sqrt[15]*lu1^12*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) - 11446146744767280000*Sqrt[15]*lu1^13*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 38200618170*Sqrt[14]* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 406711446570*Sqrt[14]*lu1*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 65629107768510*Sqrt[14]*lu1^2* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 497390710961430*Sqrt[14]*lu1^3*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 26815503704945670* Sqrt[14]*lu1^4*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 128174404901876190*Sqrt[14]*lu1^5* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2476813072798302810*Sqrt[14]*lu1^6*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 16033691894547554370* Sqrt[14]*lu1^7*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 17883654505032218760*Sqrt[14]*lu1^8* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 43254995421284515440*Sqrt[14]*lu1^9*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 51815594676264962400* Sqrt[14]*lu1^10*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 59624636900456628000*Sqrt[14]*lu1^11* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 69992337999471888000*Sqrt[14]*lu1^12*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 5953577884974720000* Sqrt[14]*lu1^13*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 44451073890*Sqrt[42]*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 713296097190*Sqrt[42]* lu1*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 86251675108950*Sqrt[42]*lu1^2*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 614907180865650*Sqrt[42]* lu1^3*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 33795916942708590*Sqrt[42]*lu1^4* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 187558553548676490*Sqrt[42]*lu1^5*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 2579421062817921090* Sqrt[42]*lu1^6*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 27882903551394168150*Sqrt[42]*lu1^7* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 95518094455067830200*Sqrt[42]*lu1^8*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 92786443149688803720* Sqrt[42]*lu1^9*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 98377928284481819520*Sqrt[42]*lu1^10* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 156762849778213337760*Sqrt[42]*lu1^11*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 8660476773145843200* Sqrt[42]*lu1^12*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 7257369174151824000*Sqrt[42]*lu1^13* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 252972720*Sqrt[3]*(f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) + 104570165700*Sqrt[3]*lu1*(f42[t] + I*f42n[t])*g20[t]* (g22[t] - I*g22n[t]) - 2556329335560*Sqrt[3]*lu1^2* (f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) - 88157790220500*Sqrt[3]*lu1^3*(f42[t] + I*f42n[t])*g20[t]* (g22[t] - I*g22n[t]) + 1319289458607120*Sqrt[3]*lu1^4* (f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) + 13848543427658940*Sqrt[3]*lu1^5*(f42[t] + I*f42n[t])*g20[t]* (g22[t] - I*g22n[t]) - 97989128450213000*Sqrt[3]*lu1^6* (f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) - 525942351027513420*Sqrt[3]*lu1^7*(f42[t] + I*f42n[t])*g20[t]* (g22[t] - I*g22n[t]) + 636949554741099600*Sqrt[3]*lu1^8* (f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) + 8813813002179625440*Sqrt[3]*lu1^9*(f42[t] + I*f42n[t])*g20[t]* (g22[t] - I*g22n[t]) + 21902657058330048000*Sqrt[3]*lu1^10* (f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) + 18006699046760424000*Sqrt[3]*lu1^11*(f42[t] + I*f42n[t])*g20[t]* (g22[t] - I*g22n[t]) - 6079590062946400000*Sqrt[3]*lu1^12* (f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) - 11270779052332800000*Sqrt[3]*lu1^13*(f42[t] + I*f42n[t])*g20[t]* (g22[t] - I*g22n[t]) + 1653878655*Sqrt[14]*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])^2 - 9623735550*Sqrt[14]*lu1* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 - 2225897523135*Sqrt[14]* lu1^2*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 + 2409779984040*Sqrt[14]*lu1^3*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])^2 + 804795995531385*Sqrt[14]*lu1^4* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 + 226797062971050*Sqrt[14]*lu1^5*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])^2 - 86691408142278225*Sqrt[14]*lu1^6* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 - 179754197225365620*Sqrt[14]*lu1^7*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])^2 + 1999457847927076680*Sqrt[14]*lu1^8* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 + 8131064362933374720* Sqrt[14]*lu1^9*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 + 5997521363036140080*Sqrt[14]*lu1^10*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])^2 - 10705919273933083200*Sqrt[14]*lu1^11* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 - 13648147105452288000* Sqrt[14]*lu1^12*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 - 1852034287783680000*Sqrt[14]*lu1^13*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])^2 - 44502279822*Sqrt[5]*(f22[t] - I*f22n[t])* f40[t]*(g22[t] + I*g22n[t]) - 250154460270*Sqrt[5]*lu1* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) + 73068429641922*Sqrt[5]*lu1^2*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) + 369601981767018*Sqrt[5]*lu1^3* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) - 29401796442701826*Sqrt[5]*lu1^4*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) - 117136815958920186*Sqrt[5]*lu1^5* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) + 2550579383882153910*Sqrt[5]*lu1^6*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) + 20413670155013886894*Sqrt[5]*lu1^7* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) + 46782777894940274616*Sqrt[5]*lu1^8*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) - 19154078039048773392*Sqrt[5]*lu1^9* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) - 161962549676234914464*Sqrt[5]*lu1^10*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) - 138939871811783945760*Sqrt[5]*lu1^11* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) + 6911936138137430400*Sqrt[5]*lu1^12*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) + 35171512738217856000*Sqrt[5]*lu1^13* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) + 21854624742*Sqrt[15]*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) - 886556729070*Sqrt[15]*lu1*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 30789779083362*Sqrt[15]* lu1^2*f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 1032412710781962*Sqrt[15]*lu1^3*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + 10160570430973866*Sqrt[15]*lu1^4*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 26357984747516034* Sqrt[15]*lu1^5*f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 2270138891470163430*Sqrt[15]*lu1^6*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) - 28622827833339967074*Sqrt[15]*lu1^7*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 128015679262566499656* Sqrt[15]*lu1^8*f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 213026460122798853528*Sqrt[15]*lu1^9*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) - 8162802661054688256*Sqrt[15]*lu1^10*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 265260634068923539680* Sqrt[15]*lu1^11*f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 151073614709733158400*Sqrt[15]*lu1^12*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) - 11446146744767280000*Sqrt[15]*lu1^13*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 44451073890*Sqrt[42]* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 713296097190*Sqrt[42]*lu1*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 86251675108950*Sqrt[42]*lu1^2* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 614907180865650*Sqrt[42]*lu1^3*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 33795916942708590* Sqrt[42]*lu1^4*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 187558553548676490*Sqrt[42]*lu1^5* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 2579421062817921090*Sqrt[42]*lu1^6*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 27882903551394168150* Sqrt[42]*lu1^7*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 95518094455067830200*Sqrt[42]*lu1^8* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 92786443149688803720*Sqrt[42]*lu1^9*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 98377928284481819520* Sqrt[42]*lu1^10*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 156762849778213337760*Sqrt[42]*lu1^11* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 8660476773145843200*Sqrt[42]*lu1^12*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 7257369174151824000* Sqrt[42]*lu1^13*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 361215855*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) - 18301603320*lu1*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) + 1130619004515*lu1^2*(f22[t] - I*f22n[t])* g20[t]*(g22[t] + I*g22n[t]) + 11367516470310*lu1^3* (f22[t] - I*f22n[t])*g20[t]*(g22[t] + I*g22n[t]) - 578972548459305*lu1^4*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) + 292903324934220*lu1^5*(f22[t] - I*f22n[t])* g20[t]*(g22[t] + I*g22n[t]) + 59810279976131685*lu1^6* (f22[t] - I*f22n[t])*g20[t]*(g22[t] + I*g22n[t]) - 139663633038299370*lu1^7*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) - 1499746254510984480*lu1^8* (f22[t] - I*f22n[t])*g20[t]*(g22[t] + I*g22n[t]) + 704547720941304240*lu1^9*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) + 16442638256842958160*lu1^10* (f22[t] - I*f22n[t])*g20[t]*(g22[t] + I*g22n[t]) + 32188039324079839200*lu1^11*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) + 22034224274606544000*lu1^12* (f22[t] - I*f22n[t])*g20[t]*(g22[t] + I*g22n[t]) + 3806271958769280000*lu1^13*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) + 252972720*Sqrt[3]*(f42[t] - I*f42n[t])*g20[t]* (g22[t] + I*g22n[t]) + 104570165700*Sqrt[3]*lu1*(f42[t] - I*f42n[t])* g20[t]*(g22[t] + I*g22n[t]) - 2556329335560*Sqrt[3]*lu1^2* (f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) - 88157790220500*Sqrt[3]*lu1^3*(f42[t] - I*f42n[t])*g20[t]* (g22[t] + I*g22n[t]) + 1319289458607120*Sqrt[3]*lu1^4* (f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) + 13848543427658940*Sqrt[3]*lu1^5*(f42[t] - I*f42n[t])*g20[t]* (g22[t] + I*g22n[t]) - 97989128450213000*Sqrt[3]*lu1^6* (f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) - 525942351027513420*Sqrt[3]*lu1^7*(f42[t] - I*f42n[t])*g20[t]* (g22[t] + I*g22n[t]) + 636949554741099600*Sqrt[3]*lu1^8* (f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) + 8813813002179625440*Sqrt[3]*lu1^9*(f42[t] - I*f42n[t])*g20[t]* (g22[t] + I*g22n[t]) + 21902657058330048000*Sqrt[3]*lu1^10* (f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) + 18006699046760424000*Sqrt[3]*lu1^11*(f42[t] - I*f42n[t])*g20[t]* (g22[t] + I*g22n[t]) - 6079590062946400000*Sqrt[3]*lu1^12* (f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) - 11270779052332800000*Sqrt[3]*lu1^13*(f42[t] - I*f42n[t])*g20[t]* (g22[t] + I*g22n[t]) + 965118726*Sqrt[5]*f40[t]*(g22[t] - I*g22n[t])* (g22[t] + I*g22n[t]) + 121634704620*Sqrt[5]*lu1*f40[t]* (g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) - 3957954211926*Sqrt[5]* lu1^2*f40[t]*(g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) - 104825436270984*Sqrt[5]*lu1^3*f40[t]*(g22[t] - I*g22n[t])* (g22[t] + I*g22n[t]) + 1905065748541098*Sqrt[5]*lu1^4*f40[t]* (g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) + 16708970938379148* Sqrt[5]*lu1^5*f40[t]*(g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) - 152263517397166890*Sqrt[5]*lu1^6*f40[t]*(g22[t] - I*g22n[t])* (g22[t] + I*g22n[t]) - 703032500123162352*Sqrt[5]*lu1^7*f40[t]* (g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) + 1564122604860150192* Sqrt[5]*lu1^8*f40[t]*(g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) + 13829001347788900416*Sqrt[5]*lu1^9*f40[t]*(g22[t] - I*g22n[t])* (g22[t] + I*g22n[t]) + 28682197015210513632*Sqrt[5]*lu1^10*f40[t]* (g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) + 17325671146539275520* Sqrt[5]*lu1^11*f40[t]*(g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) - 12754766917716595200*Sqrt[5]*lu1^12*f40[t]*(g22[t] - I*g22n[t])* (g22[t] + I*g22n[t]) - 14265748577912832000*Sqrt[5]*lu1^13*f40[t]* (g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) + 1653878655*Sqrt[14]* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 - 9623735550*Sqrt[14]* lu1*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 - 2225897523135*Sqrt[14]*lu1^2*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])^2 + 2409779984040*Sqrt[14]*lu1^3* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 + 804795995531385*Sqrt[14]*lu1^4*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])^2 + 226797062971050*Sqrt[14]*lu1^5* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 - 86691408142278225*Sqrt[14]*lu1^6*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])^2 - 179754197225365620*Sqrt[14]*lu1^7* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 + 1999457847927076680* Sqrt[14]*lu1^8*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 + 8131064362933374720*Sqrt[14]*lu1^9*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])^2 + 5997521363036140080*Sqrt[14]*lu1^10* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 - 10705919273933083200* Sqrt[14]*lu1^11*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 - 13648147105452288000*Sqrt[14]*lu1^12*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])^2 - 1852034287783680000*Sqrt[14]*lu1^13* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 + 256735093860*Sqrt[5]* f40[t]^2*g40[t] + 9360571147560*Sqrt[5]*lu1*f40[t]^2*g40[t] - 414807757274340*Sqrt[5]*lu1^2*f40[t]^2*g40[t] - 6511155138650160*Sqrt[5]*lu1^3*f40[t]^2*g40[t] + 57478357021160700*Sqrt[5]*lu1^4*f40[t]^2*g40[t] + 951874500453532200*Sqrt[5]*lu1^5*f40[t]^2*g40[t] + 1982877027288557220*Sqrt[5]*lu1^6*f40[t]^2*g40[t] - 30051528461254032480*Sqrt[5]*lu1^7*f40[t]^2*g40[t] - 124754583554335732320*Sqrt[5]*lu1^8*f40[t]^2*g40[t] - 96768422236658088000*Sqrt[5]*lu1^9*f40[t]^2*g40[t] + 167753208418149735360*Sqrt[5]*lu1^10*f40[t]^2*g40[t] + 243302857643204294400*Sqrt[5]*lu1^11*f40[t]^2*g40[t] + 40031919623128896000*Sqrt[5]*lu1^12*f40[t]^2*g40[t] - 26337055392103680000*Sqrt[5]*lu1^13*f40[t]^2*g40[t] + 2730811644*Sqrt[15]*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* g40[t] + 173411369100*Sqrt[15]*lu1*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 13307877408204*Sqrt[15]*lu1^2* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 83901958439904*Sqrt[15]*lu1^3*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 2807351413329312*Sqrt[15]*lu1^4* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 86521753152288372*Sqrt[15]*lu1^5*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 137541318733020420*Sqrt[15]*lu1^6* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] - 2753545689765440808*Sqrt[15]*lu1^7*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 11961594361983399252*Sqrt[15]*lu1^8* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] - 15644003671379179896*Sqrt[15]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 6752581814519014272*Sqrt[15]*lu1^10* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] - 9875851222831799040*Sqrt[15]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 14654902760719166400*Sqrt[15]*lu1^12* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] - 3287865988744848000*Sqrt[15]*lu1^13*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 225794254752*Sqrt[5]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 7015946945436*Sqrt[5]*lu1*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g40[t] + 400113584335080*Sqrt[5]*lu1^2*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] + 6528177365757300*Sqrt[5]*lu1^3* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 69979965930023688*Sqrt[5]*lu1^4*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 1402417923023582388*Sqrt[5]*lu1^5* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 2526748170616114632*Sqrt[5]*lu1^6*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] + 51067439758562342940*Sqrt[5]*lu1^7* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 169509183939024490440*Sqrt[5]*lu1^8*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 505378814398419456*Sqrt[5]*lu1^9* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 426069516103985274048*Sqrt[5]*lu1^10*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 256339776047558195520*Sqrt[5]*lu1^11* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 140719970422970294400*Sqrt[5]*lu1^12*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] + 56233665244798272000*Sqrt[5]*lu1^13* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 249443498808*Sqrt[5]*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* g40[t] - 10680782956704*Sqrt[5]*lu1*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] + 364015097008920*Sqrt[5]*lu1^2* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] + 7014409188539760*Sqrt[5]*lu1^3*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] - 17944219825259112*Sqrt[5]*lu1^4* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] - 303719301693464832*Sqrt[5]*lu1^5*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] - 1703485893946070808*Sqrt[5]*lu1^6* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] + 4787631209239043760*Sqrt[5]*lu1^7*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] + 43660755954944462880*Sqrt[5]*lu1^8* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] + 70152513464174633856*Sqrt[5]*lu1^9*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] - 10146980682258682752*Sqrt[5]*lu1^10* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] - 93914301675035923200*Sqrt[5]*lu1^11*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] - 57587393411887449600*Sqrt[5]*lu1^12* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] - 8274888628215552000*Sqrt[5]*lu1^13*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] - 261023553*f40[t]*g20[t]*g40[t] - 905013689310*lu1*f40[t]*g20[t]*g40[t] + 20307969925533*lu1^2*f40[t]* g20[t]*g40[t] + 498466507453992*lu1^3*f40[t]*g20[t]*g40[t] - 5475494222358939*lu1^4*f40[t]*g20[t]*g40[t] - 32128332401026854*lu1^5* f40[t]*g20[t]*g40[t] + 174196347338971395*lu1^6*f40[t]*g20[t]* g40[t] - 130269891079932084*lu1^7*f40[t]*g20[t]*g40[t] - 455850895026335796*lu1^8*f40[t]*g20[t]*g40[t] + 20387033806950896112*lu1^9*f40[t]*g20[t]*g40[t] + 69227189011118730384*lu1^10*f40[t]*g20[t]*g40[t] + 73172876896036319040*lu1^11*f40[t]*g20[t]*g40[t] + 20991908460550305600*lu1^12*f40[t]*g20[t]*g40[t] - 2079276768291744000*lu1^13*f40[t]*g20[t]*g40[t] + 775146672*Sqrt[15]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] + 521538750*Sqrt[15]*lu1*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])* g40[t] - 399496064472*Sqrt[15]*lu1^2*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] - 18612699407478*Sqrt[15]*lu1^3* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] + 60245785569756*Sqrt[15]*lu1^4*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] + 827611894126866*Sqrt[15]*lu1^5* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] - 5890048592159760*Sqrt[15]*lu1^6*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] - 227710367431070394*Sqrt[15]*lu1^7* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] + 149901238209991164*Sqrt[15]*lu1^8*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] + 6202408638840793152*Sqrt[15]*lu1^9* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] + 16383090567250883424*Sqrt[15]*lu1^10*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] + 12387460646055692640*Sqrt[15]*lu1^11* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] - 2491406188936238400*Sqrt[15]*lu1^12*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] - 4252869079681824000*Sqrt[15]*lu1^13* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] + 845338923*Sqrt[5]*(f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] + 52593653970*Sqrt[5]*lu1*(f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])* g40[t] - 1998233148483*Sqrt[5]*lu1^2*(f22[t] - I*f22n[t])* (g22[t] + I*g22n[t])*g40[t] - 40456017582552*Sqrt[5]*lu1^3* (f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] + 608205787504029*Sqrt[5]*lu1^4*(f22[t] - I*f22n[t])* (g22[t] + I*g22n[t])*g40[t] + 575206077897594*Sqrt[5]*lu1^5* (f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] - 9281202303578205*Sqrt[5]*lu1^6*(f22[t] - I*f22n[t])* (g22[t] + I*g22n[t])*g40[t] + 59206512776609484*Sqrt[5]*lu1^7* (f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] - 174350634892629624*Sqrt[5]*lu1^8*(f22[t] - I*f22n[t])* (g22[t] + I*g22n[t])*g40[t] - 1934691261508523232*Sqrt[5]*lu1^9* (f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] - 4356801994304629584*Sqrt[5]*lu1^10*(f22[t] - I*f22n[t])* (g22[t] + I*g22n[t])*g40[t] - 4934313169060017600*Sqrt[5]*lu1^11* (f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] - 3085743493942137600*Sqrt[5]*lu1^12*(f22[t] - I*f22n[t])* (g22[t] + I*g22n[t])*g40[t] - 688746421883520000*Sqrt[5]*lu1^13* (f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] + 775146672*Sqrt[15]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] + 521538750*Sqrt[15]*lu1*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])* g40[t] - 399496064472*Sqrt[15]*lu1^2*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] - 18612699407478*Sqrt[15]*lu1^3* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] + 60245785569756*Sqrt[15]*lu1^4*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] + 827611894126866*Sqrt[15]*lu1^5* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] - 5890048592159760*Sqrt[15]*lu1^6*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] - 227710367431070394*Sqrt[15]*lu1^7* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] + 149901238209991164*Sqrt[15]*lu1^8*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] + 6202408638840793152*Sqrt[15]*lu1^9* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] + 16383090567250883424*Sqrt[15]*lu1^10*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] + 12387460646055692640*Sqrt[15]*lu1^11* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] - 2491406188936238400*Sqrt[15]*lu1^12*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] - 4252869079681824000*Sqrt[15]*lu1^13* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] + 116260920*Sqrt[5]*f40[t]*g40[t]^2 - 418808648340*Sqrt[5]*lu1*f40[t]* g40[t]^2 + 4514911812000*Sqrt[5]*lu1^2*f40[t]*g40[t]^2 + 71377376507100*Sqrt[5]*lu1^3*f40[t]*g40[t]^2 - 71259384899520*Sqrt[5]* lu1^4*f40[t]*g40[t]^2 + 305732293470180*Sqrt[5]*lu1^5*f40[t]* g40[t]^2 - 38918886292493280*Sqrt[5]*lu1^6*f40[t]*g40[t]^2 - 49379728159032300*Sqrt[5]*lu1^7*f40[t]*g40[t]^2 + 636605594088193800*Sqrt[5]*lu1^8*f40[t]*g40[t]^2 + 2145351699677957760*Sqrt[5]*lu1^9*f40[t]*g40[t]^2 + 2996600055485244480*Sqrt[5]*lu1^10*f40[t]*g40[t]^2 + 2922983302010644800*Sqrt[5]*lu1^11*f40[t]*g40[t]^2 + 2191841517746448000*Sqrt[5]*lu1^12*f40[t]*g40[t]^2 + 712107470329920000*Sqrt[5]*lu1^13*f40[t]*g40[t]^2 - 429*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)* f20[t]^2*(40*Sqrt[5]*(190134 - 12275733*lu1 + 180987735*lu1^2 + 672030896*lu1^3 - 12380237280*lu1^4 - 61402405317*lu1^5 - 241243853121*lu1^6 + 408751478370*lu1^7 + 265229250612*lu1^8 + 108377043880*lu1^9)*f40[t] + 33*(11763 + 1902633*lu1 - 40908878*lu1^2 - 285394410*lu1^3 + 5323109655*lu1^4 + 19881043101*lu1^5 - 38844782364*lu1^6 - 72562455756*lu1^7 + 56481817040*lu1^8 + 282145872000*lu1^9)*g20[t] + 20*Sqrt[5]*(63531 + 2243637*lu1 - 43881702*lu1^2 + 5474354*lu1^3 + 1584754479*lu1^4 - 3517891791*lu1^5 - 561655620*lu1^6 + 8777365224*lu1^7 - 3095179968*lu1^8 + 54696286480*lu1^9)* g40[t]) - 169511475870*Sqrt[5]*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) - 6788654789598*Sqrt[5]*lu1*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) + 256231740834234*Sqrt[5]* lu1^2*f40[t]*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) + 3898181969636526*Sqrt[5]*lu1^3*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) - 28236209758264926*Sqrt[5]*lu1^4*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 345852988987094226* Sqrt[5]*lu1^5*f40[t]*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 917790644709355626*Sqrt[5]*lu1^6*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) + 7522961428098264258*Sqrt[5]*lu1^7*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) + 52475449940257060332* Sqrt[5]*lu1^8*f40[t]*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) + 106697953867523106528*Sqrt[5]*lu1^9*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) + 28506228792027928128*Sqrt[5]*lu1^10*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 139463255383745626080* Sqrt[5]*lu1^11*f40[t]*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 114395096796926932800*Sqrt[5]*lu1^12*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) + 853928308914912000*Sqrt[5]*lu1^13*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) + 24821806050*Sqrt[42]* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 878696922150*Sqrt[42]*lu1*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 40937738471190*Sqrt[42]*lu1^2* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 704317941049950*Sqrt[42]*lu1^3*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 7165606079429010* Sqrt[42]*lu1^4*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 45714603924230250*Sqrt[42]*lu1^5* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 22751949428749050*Sqrt[42]*lu1^6*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 859318695775328130* Sqrt[42]*lu1^7*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 4828820422721619300*Sqrt[42]*lu1^8* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 13842650199958806480*Sqrt[42]*lu1^9*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 15548406890446320000* Sqrt[42]*lu1^10*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 1167862523741330400*Sqrt[42]*lu1^11* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 9243098840386756800*Sqrt[42]*lu1^12*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 1071626126180736000* Sqrt[42]*lu1^13*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 109251329850*Sqrt[14]*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 4168079377290*Sqrt[14]* lu1*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 174660462034830*Sqrt[14]*lu1^2*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 3515715707823450* Sqrt[14]*lu1^3*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 15222914367061050*Sqrt[14]*lu1^4* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 377131362131757510*Sqrt[14]*lu1^5*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 1123678518636814110* Sqrt[14]*lu1^6*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 12901771253273677110*Sqrt[14]*lu1^7* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 44207678169816610500*Sqrt[14]*lu1^8*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 13560643793440936800* Sqrt[14]*lu1^9*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 134231644184047110720*Sqrt[14]*lu1^10* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 53475610039694912160*Sqrt[14]*lu1^11*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 61582248317105870400* Sqrt[14]*lu1^12*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 10810860612239520000*Sqrt[14]*lu1^13* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 7366267980*(f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) - 52015503510*lu1*(f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) - 2829978174960*lu1^2*(f42[t] + I*f42n[t])*g20[t]* (g42[t] - I*g42n[t]) - 161051879663730*lu1^3*(f42[t] + I*f42n[t])* g20[t]*(g42[t] - I*g42n[t]) + 730107571710780*lu1^4* (f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) + 13680050257192590*lu1^5*(f42[t] + I*f42n[t])*g20[t]* (g42[t] - I*g42n[t]) - 2028884338567800*lu1^6*(f42[t] + I*f42n[t])* g20[t]*(g42[t] - I*g42n[t]) - 1109321895472257870*lu1^7* (f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) - 1490152595928478560*lu1^8*(f42[t] + I*f42n[t])*g20[t]* (g42[t] - I*g42n[t]) + 21920405558355461160*lu1^9* (f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) + 79069852161165864960*lu1^10*(f42[t] + I*f42n[t])*g20[t]* (g42[t] - I*g42n[t]) + 85550229743697030240*lu1^11* (f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) + 9815505858232012800*lu1^12*(f42[t] + I*f42n[t])*g20[t]* (g42[t] - I*g42n[t]) - 20654440917190416000*lu1^13* (f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) - 841544235*Sqrt[42]*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])* (g42[t] - I*g42n[t]) - 72398690190*Sqrt[42]*lu1*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) + 2158374511035*Sqrt[42]* lu1^2*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])* (g42[t] - I*g42n[t]) + 58689074685780*Sqrt[42]*lu1^3* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) - 595135302095925*Sqrt[42]*lu1^4*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) - 3570425479398150* Sqrt[42]*lu1^5*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])* (g42[t] - I*g42n[t]) + 13309323172721925*Sqrt[42]*lu1^6* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) - 55612771521766680*Sqrt[42]*lu1^7*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) + 190840155038373360* Sqrt[42]*lu1^8*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])* (g42[t] - I*g42n[t]) + 3557645527031979000*Sqrt[42]*lu1^9* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) + 8276984697688658640*Sqrt[42]*lu1^10*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) + 4872339873061008960* Sqrt[42]*lu1^11*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])* (g42[t] - I*g42n[t]) - 1128834705463516800*Sqrt[42]*lu1^12* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) - 529852011766224000*Sqrt[42]*lu1^13*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) + 1302178437*Sqrt[15]* f40[t]*(g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) - 19929490290*Sqrt[15]*lu1*f40[t]*(g22[t] + I*g22n[t])* (g42[t] - I*g42n[t]) - 427102367157*Sqrt[15]*lu1^2*f40[t]* (g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) - 15198465228408*Sqrt[15]* lu1^3*f40[t]*(g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) + 89954131412451*Sqrt[15]*lu1^4*f40[t]*(g22[t] + I*g22n[t])* (g42[t] - I*g42n[t]) - 745165279950594*Sqrt[15]*lu1^5*f40[t]* (g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) + 252677069111205*Sqrt[15]* lu1^6*f40[t]*(g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) + 43716422396545236*Sqrt[15]*lu1^7*f40[t]*(g22[t] + I*g22n[t])* (g42[t] - I*g42n[t]) - 15580555053517896*Sqrt[15]*lu1^8*f40[t]* (g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) - 372043989376796808* Sqrt[15]*lu1^9*f40[t]*(g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) + 343897983939388944*Sqrt[15]*lu1^10*f40[t]*(g22[t] + I*g22n[t])* (g42[t] - I*g42n[t]) + 2397298302562855680*Sqrt[15]*lu1^11*f40[t]* (g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) + 1795717750237286400* Sqrt[15]*lu1^12*f40[t]*(g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) - 306356490143760000*Sqrt[15]*lu1^13*f40[t]*(g22[t] + I*g22n[t])* (g42[t] - I*g42n[t]) - 262702440*Sqrt[5]*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) + 471806509482*Sqrt[5]*lu1*(f42[t] + I*f42n[t])* g40[t]*(g42[t] - I*g42n[t]) - 4899098061396*Sqrt[5]*lu1^2* (f42[t] + I*f42n[t])*g40[t]*(g42[t] - I*g42n[t]) - 92165709634614*Sqrt[5]*lu1^3*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) + 72522962395884*Sqrt[5]*lu1^4* (f42[t] + I*f42n[t])*g40[t]*(g42[t] - I*g42n[t]) + 4435420542674814*Sqrt[5]*lu1^5*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) + 51132549256192404*Sqrt[5]*lu1^6* (f42[t] + I*f42n[t])*g40[t]*(g42[t] - I*g42n[t]) - 247964769791818002*Sqrt[5]*lu1^7*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) - 1344315030979283748*Sqrt[5]*lu1^8* (f42[t] + I*f42n[t])*g40[t]*(g42[t] - I*g42n[t]) + 1853928732645114048*Sqrt[5]*lu1^9*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) + 13367602781038886688*Sqrt[5]*lu1^10* (f42[t] + I*f42n[t])*g40[t]*(g42[t] - I*g42n[t]) + 14844446063310900960*Sqrt[5]*lu1^11*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) - 709463220310152000*Sqrt[5]*lu1^12* (f42[t] + I*f42n[t])*g40[t]*(g42[t] - I*g42n[t]) - 5138043827605920000*Sqrt[5]*lu1^13*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) - 240788700*Sqrt[14]*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])^2 + 134469109260*Sqrt[14]*lu1* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 - 1008081228060*Sqrt[14]* lu1^2*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 - 3130745675580*Sqrt[14]*lu1^3*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])^2 - 247877503523820*Sqrt[14]*lu1^4* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 - 1072923855592140*Sqrt[14]*lu1^5*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])^2 + 33356022385857660*Sqrt[14]*lu1^6* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 + 9846386115899580*Sqrt[14]*lu1^7*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])^2 - 677695122581886360*Sqrt[14]*lu1^8* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 - 853003151912989440*Sqrt[14]*lu1^9*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])^2 + 3624979118504152320*Sqrt[14]*lu1^10* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 + 8500273960499743680* Sqrt[14]*lu1^11*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 + 3838942354105180800*Sqrt[14]*lu1^12*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])^2 - 1573825723364160000*Sqrt[14]*lu1^13* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 - 5739320286*Sqrt[15]* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) - 140755761450*Sqrt[15]*lu1*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) - 3706321657014*Sqrt[15]*lu1^2* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) + 326550159620874*Sqrt[15]*lu1^3*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) + 3516704562014922*Sqrt[15]*lu1^4* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) + 118920793102207482*Sqrt[15]*lu1^5*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) - 32370954148074090*Sqrt[15]*lu1^6* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) - 4856766600969633978*Sqrt[15]*lu1^7*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) - 10908354547833667212*Sqrt[15]*lu1^8* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) + 16299785561796354624*Sqrt[15]*lu1^9*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) + 58586580455076533568*Sqrt[15]*lu1^10* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) + 19013425757251119840*Sqrt[15]*lu1^11*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) - 40254184279974974400*Sqrt[15]*lu1^12* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) - 20028380826189792000*Sqrt[15]*lu1^13*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) - 169511475870*Sqrt[5]*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) - 6788654789598*Sqrt[5]* lu1*f40[t]*(f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 256231740834234*Sqrt[5]*lu1^2*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) + 3898181969636526*Sqrt[5]*lu1^3*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) - 28236209758264926* Sqrt[5]*lu1^4*f40[t]*(f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) - 345852988987094226*Sqrt[5]*lu1^5*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) - 917790644709355626*Sqrt[5]*lu1^6*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 7522961428098264258* Sqrt[5]*lu1^7*f40[t]*(f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 52475449940257060332*Sqrt[5]*lu1^8*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) + 106697953867523106528*Sqrt[5]*lu1^9*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 28506228792027928128* Sqrt[5]*lu1^10*f40[t]*(f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) - 139463255383745626080*Sqrt[5]*lu1^11*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) - 114395096796926932800*Sqrt[5]*lu1^12*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 853928308914912000* Sqrt[5]*lu1^13*f40[t]*(f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) - 109251329850*Sqrt[14]*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 4168079377290*Sqrt[14]*lu1* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 174660462034830*Sqrt[14]*lu1^2*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 3515715707823450* Sqrt[14]*lu1^3*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 15222914367061050*Sqrt[14]*lu1^4* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 377131362131757510*Sqrt[14]*lu1^5*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 1123678518636814110* Sqrt[14]*lu1^6*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 12901771253273677110*Sqrt[14]*lu1^7* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 44207678169816610500*Sqrt[14]*lu1^8*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 13560643793440936800* Sqrt[14]*lu1^9*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 134231644184047110720*Sqrt[14]*lu1^10* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 53475610039694912160*Sqrt[14]*lu1^11*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 61582248317105870400* Sqrt[14]*lu1^12*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 10810860612239520000*Sqrt[14]*lu1^13* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 896002965*Sqrt[3]*(f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) + 110324600100*Sqrt[3]*lu1*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) - 2983874796045*Sqrt[3]*lu1^2* (f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) - 83854995411330*Sqrt[3]*lu1^3*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) + 914460969508515*Sqrt[3]*lu1^4* (f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) + 2639829513835800*Sqrt[3]*lu1^5*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) - 1901847417945475*Sqrt[3]*lu1^6* (f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) - 103106172549241290*Sqrt[3]*lu1^7*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) - 615626031089972760*Sqrt[3]*lu1^8* (f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) + 193750064556356880*Sqrt[3]*lu1^9*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) + 5516938701401796240*Sqrt[3]*lu1^10* (f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) + 8424767918254802400*Sqrt[3]*lu1^11*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) + 2373071450807200000*Sqrt[3]*lu1^12* (f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) - 1390374963257280000*Sqrt[3]*lu1^13*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) + 7366267980*(f42[t] - I*f42n[t])*g20[t]* (g42[t] + I*g42n[t]) - 52015503510*lu1*(f42[t] - I*f42n[t])*g20[t]* (g42[t] + I*g42n[t]) - 2829978174960*lu1^2*(f42[t] - I*f42n[t])* g20[t]*(g42[t] + I*g42n[t]) - 161051879663730*lu1^3* (f42[t] - I*f42n[t])*g20[t]*(g42[t] + I*g42n[t]) + 730107571710780*lu1^4*(f42[t] - I*f42n[t])*g20[t]* (g42[t] + I*g42n[t]) + 13680050257192590*lu1^5*(f42[t] - I*f42n[t])* g20[t]*(g42[t] + I*g42n[t]) - 2028884338567800*lu1^6* (f42[t] - I*f42n[t])*g20[t]*(g42[t] + I*g42n[t]) - 1109321895472257870*lu1^7*(f42[t] - I*f42n[t])*g20[t]* (g42[t] + I*g42n[t]) - 1490152595928478560*lu1^8* (f42[t] - I*f42n[t])*g20[t]*(g42[t] + I*g42n[t]) + 21920405558355461160*lu1^9*(f42[t] - I*f42n[t])*g20[t]* (g42[t] + I*g42n[t]) + 79069852161165864960*lu1^10* (f42[t] - I*f42n[t])*g20[t]*(g42[t] + I*g42n[t]) + 85550229743697030240*lu1^11*(f42[t] - I*f42n[t])*g20[t]* (g42[t] + I*g42n[t]) + 9815505858232012800*lu1^12* (f42[t] - I*f42n[t])*g20[t]*(g42[t] + I*g42n[t]) - 20654440917190416000*lu1^13*(f42[t] - I*f42n[t])*g20[t]* (g42[t] + I*g42n[t]) + 1302178437*Sqrt[15]*f40[t]* (g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) - 19929490290*Sqrt[15]*lu1* f40[t]*(g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) - 427102367157*Sqrt[15]*lu1^2*f40[t]*(g22[t] - I*g22n[t])* (g42[t] + I*g42n[t]) - 15198465228408*Sqrt[15]*lu1^3*f40[t]* (g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) + 89954131412451*Sqrt[15]* lu1^4*f40[t]*(g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) - 745165279950594*Sqrt[15]*lu1^5*f40[t]*(g22[t] - I*g22n[t])* (g42[t] + I*g42n[t]) + 252677069111205*Sqrt[15]*lu1^6*f40[t]* (g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) + 43716422396545236* Sqrt[15]*lu1^7*f40[t]*(g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) - 15580555053517896*Sqrt[15]*lu1^8*f40[t]*(g22[t] - I*g22n[t])* (g42[t] + I*g42n[t]) - 372043989376796808*Sqrt[15]*lu1^9*f40[t]* (g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) + 343897983939388944* Sqrt[15]*lu1^10*f40[t]*(g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) + 2397298302562855680*Sqrt[15]*lu1^11*f40[t]*(g22[t] - I*g22n[t])* (g42[t] + I*g42n[t]) + 1795717750237286400*Sqrt[15]*lu1^12*f40[t]* (g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) - 306356490143760000* Sqrt[15]*lu1^13*f40[t]*(g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) - 841544235*Sqrt[42]*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])* (g42[t] + I*g42n[t]) - 72398690190*Sqrt[42]*lu1*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) + 2158374511035*Sqrt[42]* lu1^2*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])* (g42[t] + I*g42n[t]) + 58689074685780*Sqrt[42]*lu1^3* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) - 595135302095925*Sqrt[42]*lu1^4*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) - 3570425479398150* Sqrt[42]*lu1^5*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])* (g42[t] + I*g42n[t]) + 13309323172721925*Sqrt[42]*lu1^6* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) - 55612771521766680*Sqrt[42]*lu1^7*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) + 190840155038373360* Sqrt[42]*lu1^8*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])* (g42[t] + I*g42n[t]) + 3557645527031979000*Sqrt[42]*lu1^9* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) + 8276984697688658640*Sqrt[42]*lu1^10*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) + 4872339873061008960* Sqrt[42]*lu1^11*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])* (g42[t] + I*g42n[t]) - 1128834705463516800*Sqrt[42]*lu1^12* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) - 529852011766224000*Sqrt[42]*lu1^13*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) + 727345899*Sqrt[15]* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) - 42758445240*Sqrt[15]*lu1*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) + 176796498501*Sqrt[15]*lu1^2* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) - 5433399173286*Sqrt[15]*lu1^3*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) + 126860194273617*Sqrt[15]*lu1^4* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) + 214987948914732*Sqrt[15]*lu1^5*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) - 9522614416226205*Sqrt[15]*lu1^6* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) + 5292801238043802*Sqrt[15]*lu1^7*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) + 168306821754265068*Sqrt[15]*lu1^8* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) + 104925104049162264*Sqrt[15]*lu1^9*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) - 1026335524263580272*Sqrt[15]*lu1^10* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) - 2269337287180632480*Sqrt[15]*lu1^11*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) - 1688954400862545600*Sqrt[15]*lu1^12* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) - 345838658735472000*Sqrt[15]*lu1^13*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) - 262702440*Sqrt[5]*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) + 471806509482*Sqrt[5]*lu1*(f42[t] - I*f42n[t])* g40[t]*(g42[t] + I*g42n[t]) - 4899098061396*Sqrt[5]*lu1^2* (f42[t] - I*f42n[t])*g40[t]*(g42[t] + I*g42n[t]) - 92165709634614*Sqrt[5]*lu1^3*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) + 72522962395884*Sqrt[5]*lu1^4* (f42[t] - I*f42n[t])*g40[t]*(g42[t] + I*g42n[t]) + 4435420542674814*Sqrt[5]*lu1^5*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) + 51132549256192404*Sqrt[5]*lu1^6* (f42[t] - I*f42n[t])*g40[t]*(g42[t] + I*g42n[t]) - 247964769791818002*Sqrt[5]*lu1^7*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) - 1344315030979283748*Sqrt[5]*lu1^8* (f42[t] - I*f42n[t])*g40[t]*(g42[t] + I*g42n[t]) + 1853928732645114048*Sqrt[5]*lu1^9*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) + 13367602781038886688*Sqrt[5]*lu1^10* (f42[t] - I*f42n[t])*g40[t]*(g42[t] + I*g42n[t]) + 14844446063310900960*Sqrt[5]*lu1^11*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) - 709463220310152000*Sqrt[5]*lu1^12* (f42[t] - I*f42n[t])*g40[t]*(g42[t] + I*g42n[t]) - 5138043827605920000*Sqrt[5]*lu1^13*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) + 269630856*Sqrt[5]*f40[t]*(g42[t] - I*g42n[t])* (g42[t] + I*g42n[t]) - 22233992616*Sqrt[5]*lu1*f40[t]* (g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) - 134609863608*Sqrt[5]* lu1^2*f40[t]*(g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) + 27301190953608*Sqrt[5]*lu1^3*f40[t]*(g42[t] - I*g42n[t])* (g42[t] + I*g42n[t]) + 11724721987176*Sqrt[5]*lu1^4*f40[t]* (g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) - 9543452130984024*Sqrt[5]* lu1^5*f40[t]*(g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) - 16643548668899592*Sqrt[5]*lu1^6*f40[t]*(g42[t] - I*g42n[t])* (g42[t] + I*g42n[t]) + 604564941533507064*Sqrt[5]*lu1^7*f40[t]* (g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) + 1288097754964541136* Sqrt[5]*lu1^8*f40[t]*(g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) - 8427631204581735168*Sqrt[5]*lu1^9*f40[t]*(g42[t] - I*g42n[t])* (g42[t] + I*g42n[t]) - 33327725684145311232*Sqrt[5]*lu1^10*f40[t]* (g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) - 36119455391045220480* Sqrt[5]*lu1^11*f40[t]*(g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) - 3403124898421881600*Sqrt[5]*lu1^12*f40[t]*(g42[t] - I*g42n[t])* (g42[t] + I*g42n[t]) + 8709451220486016000*Sqrt[5]*lu1^13*f40[t]* (g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) - 240788700*Sqrt[14]* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 + 134469109260*Sqrt[14]* lu1*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 - 1008081228060*Sqrt[14]*lu1^2*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t])^2 - 3130745675580*Sqrt[14]*lu1^3* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 - 247877503523820*Sqrt[14]*lu1^4*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t])^2 - 1072923855592140*Sqrt[14]*lu1^5* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 + 33356022385857660*Sqrt[14]*lu1^6*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t])^2 + 9846386115899580*Sqrt[14]*lu1^7* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 - 677695122581886360*Sqrt[14]*lu1^8*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t])^2 - 853003151912989440*Sqrt[14]*lu1^9* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 + 3624979118504152320* Sqrt[14]*lu1^10*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 + 8500273960499743680*Sqrt[14]*lu1^11*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t])^2 + 3838942354105180800*Sqrt[14]*lu1^12* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 - 1573825723364160000* Sqrt[14]*lu1^13*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 + 4290*Sqrt[14]*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)* (f22[t] + I*f22n[t])^2*(2*(875835 - 46106535*lu1 + 494555088*lu1^2 + 4285962540*lu1^3 - 47306116393*lu1^4 - 154145212335*lu1^5 - 615673950270*lu1^6 + 340865341266*lu1^7 + 552106098300*lu1^8 - 80318147256*lu1^9 + 123723602800*lu1^10)*(f44[t] - I*f44n[t]) + (173853 + 6365772*lu1 - 131359497*lu1^2 - 443926470*lu1^3 + 7963634927*lu1^4 - 949507344*lu1^5 - 58775153991*lu1^6 - 65469222414*lu1^7 + 89832252900*lu1^8 + 347899568664*lu1^9 + 192948632800*lu1^10)*(g44[t] - I*g44n[t])) + (f22[t] + I*f22n[t])*(236791568700*Sqrt[42]*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 8846625121020*Sqrt[42]*lu1* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 46069529561100* Sqrt[42]*lu1^2*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 3750640656135060*Sqrt[42]*lu1^3*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 32706820762738020*Sqrt[42]*lu1^4* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 176518203833056020* Sqrt[42]*lu1^5*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 56167913551865340*Sqrt[42]*lu1^6*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) + 21184504279199425500*Sqrt[42]*lu1^7* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 174169474760248838520* Sqrt[42]*lu1^8*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 349845467135134712160*Sqrt[42]*lu1^9*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 68075981901768930240*Sqrt[42]*lu1^10* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 549744285298219650240* Sqrt[42]*lu1^11*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 298727564446331260800*Sqrt[42]*lu1^12*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 71462972170908864000*Sqrt[42]*lu1^13* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 44502279822*Sqrt[5]* f40[t]*(g22[t] - I*g22n[t]) - 250154460270*Sqrt[5]*lu1*f40[t]* (g22[t] - I*g22n[t]) + 73068429641922*Sqrt[5]*lu1^2*f40[t]* (g22[t] - I*g22n[t]) + 369601981767018*Sqrt[5]*lu1^3*f40[t]* (g22[t] - I*g22n[t]) - 29401796442701826*Sqrt[5]*lu1^4*f40[t]* (g22[t] - I*g22n[t]) - 117136815958920186*Sqrt[5]*lu1^5*f40[t]* (g22[t] - I*g22n[t]) + 2550579383882153910*Sqrt[5]*lu1^6*f40[t]* (g22[t] - I*g22n[t]) + 20413670155013886894*Sqrt[5]*lu1^7*f40[t]* (g22[t] - I*g22n[t]) + 46782777894940274616*Sqrt[5]*lu1^8*f40[t]* (g22[t] - I*g22n[t]) - 19154078039048773392*Sqrt[5]*lu1^9*f40[t]* (g22[t] - I*g22n[t]) - 161962549676234914464*Sqrt[5]*lu1^10*f40[t]* (g22[t] - I*g22n[t]) - 138939871811783945760*Sqrt[5]*lu1^11*f40[t]* (g22[t] - I*g22n[t]) + 6911936138137430400*Sqrt[5]*lu1^12*f40[t]* (g22[t] - I*g22n[t]) + 35171512738217856000*Sqrt[5]*lu1^13*f40[t]* (g22[t] - I*g22n[t]) - 361215855*g20[t]*(g22[t] - I*g22n[t]) - 18301603320*lu1*g20[t]*(g22[t] - I*g22n[t]) + 1130619004515*lu1^2* g20[t]*(g22[t] - I*g22n[t]) + 11367516470310*lu1^3*g20[t]* (g22[t] - I*g22n[t]) - 578972548459305*lu1^4*g20[t]* (g22[t] - I*g22n[t]) + 292903324934220*lu1^5*g20[t]* (g22[t] - I*g22n[t]) + 59810279976131685*lu1^6*g20[t]* (g22[t] - I*g22n[t]) - 139663633038299370*lu1^7*g20[t]* (g22[t] - I*g22n[t]) - 1499746254510984480*lu1^8*g20[t]* (g22[t] - I*g22n[t]) + 704547720941304240*lu1^9*g20[t]* (g22[t] - I*g22n[t]) + 16442638256842958160*lu1^10*g20[t]* (g22[t] - I*g22n[t]) + 32188039324079839200*lu1^11*g20[t]* (g22[t] - I*g22n[t]) + 22034224274606544000*lu1^12*g20[t]* (g22[t] - I*g22n[t]) + 3806271958769280000*lu1^13*g20[t]* (g22[t] - I*g22n[t]) - 38200618170*Sqrt[14]*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 406711446570*Sqrt[14]*lu1* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 65629107768510* Sqrt[14]*lu1^2*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 497390710961430*Sqrt[14]*lu1^3*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 26815503704945670*Sqrt[14]*lu1^4* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 128174404901876190* Sqrt[14]*lu1^5*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2476813072798302810*Sqrt[14]*lu1^6*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 16033691894547554370*Sqrt[14]*lu1^7* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 17883654505032218760* Sqrt[14]*lu1^8*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 43254995421284515440*Sqrt[14]*lu1^9*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 51815594676264962400*Sqrt[14]*lu1^10* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 59624636900456628000* Sqrt[14]*lu1^11*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 69992337999471888000*Sqrt[14]*lu1^12*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 5953577884974720000*Sqrt[14]*lu1^13* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 845338923*Sqrt[5]* (g22[t] - I*g22n[t])*g40[t] + 52593653970*Sqrt[5]*lu1* (g22[t] - I*g22n[t])*g40[t] - 1998233148483*Sqrt[5]*lu1^2* (g22[t] - I*g22n[t])*g40[t] - 40456017582552*Sqrt[5]*lu1^3* (g22[t] - I*g22n[t])*g40[t] + 608205787504029*Sqrt[5]*lu1^4* (g22[t] - I*g22n[t])*g40[t] + 575206077897594*Sqrt[5]*lu1^5* (g22[t] - I*g22n[t])*g40[t] - 9281202303578205*Sqrt[5]*lu1^6* (g22[t] - I*g22n[t])*g40[t] + 59206512776609484*Sqrt[5]*lu1^7* (g22[t] - I*g22n[t])*g40[t] - 174350634892629624*Sqrt[5]*lu1^8* (g22[t] - I*g22n[t])*g40[t] - 1934691261508523232*Sqrt[5]*lu1^9* (g22[t] - I*g22n[t])*g40[t] - 4356801994304629584*Sqrt[5]*lu1^10* (g22[t] - I*g22n[t])*g40[t] - 4934313169060017600*Sqrt[5]*lu1^11* (g22[t] - I*g22n[t])*g40[t] - 3085743493942137600*Sqrt[5]*lu1^12* (g22[t] - I*g22n[t])*g40[t] - 688746421883520000*Sqrt[5]*lu1^13* (g22[t] - I*g22n[t])*g40[t] + 858*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*(f22[t] - I*f22n[t])* (60*Sqrt[5]*(88323 - 8929109*lu1 + 180756130*lu1^2 + 156724592*lu1^3 - 8095727901*lu1^4 - 87930056229*lu1^5 - 359132929908*lu1^6 + 382222705490*lu1^7 + 891425106284*lu1^8 + 597165804328*lu1^9 + 103261524240*lu1^10)*f40[t] - 11*(434997 + 2359755*lu1 - 260423394*lu1^2 - 674615598*lu1^3 + 30440204105*lu1^4 + 135249434199*lu1^5 + 85587269340*lu1^6 + 519779767932*lu1^7 + 619410649944*lu1^8 + 762442997280*lu1^9 + 298174410400*lu1^10)*g20[t] + 30*Sqrt[5]*(69111 + 2450058*lu1 - 40985389*lu1^2 + 100415262*lu1^3 + 522263121*lu1^4 - 4606275162*lu1^5 + 13777884369*lu1^6 + 38628930426*lu1^7 - 24431290604*lu1^8 - 10700856552*lu1^9 + 8612171040*lu1^10)* g40[t]) - 4*Sqrt[3]*(f42[t] - I*f42n[t])* (15*Sqrt[5]*(-1263506715 + 24209903331*lu1 + 1279968334935*lu1^2 + 10229405278695*lu1^3 - 1345515776910867*lu1^4 + 8582117041602273*lu1^5 + 34481979497695853*lu1^6 - 490704108689155715*lu1^7 - 3823996147912784870*lu1^8 - 9584643033282085784*lu1^9 - 4533107110998540944*lu1^10 + 10250001192705699952*lu1^11 + 9907833835275094880*lu1^12 + 1333418469119318400*lu1^13)*f40[t] - 715*(-20960937 + 58111425*lu1 + 32162719464*lu1^2 + 9844493256*lu1^3 - 13154449173549*lu1^4 - 29269232202663*lu1^ 5 + 1263297470400610*lu1^6 + 10315915717176558*lu1^7 + 17358721122541692*lu1^8 - 27459903662908608*lu1^9 - 68518515456915168*lu1^10 - 2836439793924960*lu1^11 + 48419385649409600*lu1^12 + 18744063078048000*lu1^13)*g20[t] + 3*Sqrt[5]*(-227567637 - 14450947425*lu1 + 1108989784017*lu1^2 - 6991829869992*lu1^3 - 233945951110776*lu1^4 - 7210146096024031* lu1^5 - 11461776561085035*lu1^6 + 229462140813786734*lu1^7 + 996799530165283271*lu1^8 + 1303666972614931658*lu1^9 + 562715151209917856*lu1^10 + 822987601902649920*lu1^11 + 1221241896726597200*lu1^12 + 273988832395404000*lu1^13)* g40[t]) - 5739320286*Sqrt[15]*f40[t]*(g42[t] - I*g42n[t]) - 140755761450*Sqrt[15]*lu1*f40[t]*(g42[t] - I*g42n[t]) - 3706321657014*Sqrt[15]*lu1^2*f40[t]*(g42[t] - I*g42n[t]) + 326550159620874*Sqrt[15]*lu1^3*f40[t]*(g42[t] - I*g42n[t]) + 3516704562014922*Sqrt[15]*lu1^4*f40[t]*(g42[t] - I*g42n[t]) + 118920793102207482*Sqrt[15]*lu1^5*f40[t]*(g42[t] - I*g42n[t]) - 32370954148074090*Sqrt[15]*lu1^6*f40[t]*(g42[t] - I*g42n[t]) - 4856766600969633978*Sqrt[15]*lu1^7*f40[t]*(g42[t] - I*g42n[t]) - 10908354547833667212*Sqrt[15]*lu1^8*f40[t]*(g42[t] - I*g42n[t]) + 16299785561796354624*Sqrt[15]*lu1^9*f40[t]*(g42[t] - I*g42n[t]) + 58586580455076533568*Sqrt[15]*lu1^10*f40[t]*(g42[t] - I*g42n[t]) + 19013425757251119840*Sqrt[15]*lu1^11*f40[t]*(g42[t] - I*g42n[t]) - 40254184279974974400*Sqrt[15]*lu1^12*f40[t]*(g42[t] - I*g42n[t]) - 20028380826189792000*Sqrt[15]*lu1^13*f40[t]*(g42[t] - I*g42n[t]) + 896002965*Sqrt[3]*g20[t]*(g42[t] - I*g42n[t]) + 110324600100*Sqrt[3]*lu1*g20[t]*(g42[t] - I*g42n[t]) - 2983874796045*Sqrt[3]*lu1^2*g20[t]*(g42[t] - I*g42n[t]) - 83854995411330*Sqrt[3]*lu1^3*g20[t]*(g42[t] - I*g42n[t]) + 914460969508515*Sqrt[3]*lu1^4*g20[t]*(g42[t] - I*g42n[t]) + 2639829513835800*Sqrt[3]*lu1^5*g20[t]*(g42[t] - I*g42n[t]) - 1901847417945475*Sqrt[3]*lu1^6*g20[t]*(g42[t] - I*g42n[t]) - 103106172549241290*Sqrt[3]*lu1^7*g20[t]*(g42[t] - I*g42n[t]) - 615626031089972760*Sqrt[3]*lu1^8*g20[t]*(g42[t] - I*g42n[t]) + 193750064556356880*Sqrt[3]*lu1^9*g20[t]*(g42[t] - I*g42n[t]) + 5516938701401796240*Sqrt[3]*lu1^10*g20[t]*(g42[t] - I*g42n[t]) + 8424767918254802400*Sqrt[3]*lu1^11*g20[t]*(g42[t] - I*g42n[t]) + 2373071450807200000*Sqrt[3]*lu1^12*g20[t]*(g42[t] - I*g42n[t]) - 1390374963257280000*Sqrt[3]*lu1^13*g20[t]*(g42[t] - I*g42n[t]) + 727345899*Sqrt[15]*g40[t]*(g42[t] - I*g42n[t]) - 42758445240*Sqrt[15]*lu1*g40[t]*(g42[t] - I*g42n[t]) + 176796498501*Sqrt[15]*lu1^2*g40[t]*(g42[t] - I*g42n[t]) - 5433399173286*Sqrt[15]*lu1^3*g40[t]*(g42[t] - I*g42n[t]) + 126860194273617*Sqrt[15]*lu1^4*g40[t]*(g42[t] - I*g42n[t]) + 214987948914732*Sqrt[15]*lu1^5*g40[t]*(g42[t] - I*g42n[t]) - 9522614416226205*Sqrt[15]*lu1^6*g40[t]*(g42[t] - I*g42n[t]) + 5292801238043802*Sqrt[15]*lu1^7*g40[t]*(g42[t] - I*g42n[t]) + 168306821754265068*Sqrt[15]*lu1^8*g40[t]*(g42[t] - I*g42n[t]) + 104925104049162264*Sqrt[15]*lu1^9*g40[t]*(g42[t] - I*g42n[t]) - 1026335524263580272*Sqrt[15]*lu1^10*g40[t]*(g42[t] - I*g42n[t]) - 2269337287180632480*Sqrt[15]*lu1^11*g40[t]*(g42[t] - I*g42n[t]) - 1688954400862545600*Sqrt[15]*lu1^12*g40[t]*(g42[t] - I*g42n[t]) - 345838658735472000*Sqrt[15]*lu1^13*g40[t]*(g42[t] - I*g42n[t]) + 24821806050*Sqrt[42]*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 878696922150*Sqrt[42]*lu1*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 40937738471190*Sqrt[42]*lu1^2* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 704317941049950* Sqrt[42]*lu1^3*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 7165606079429010*Sqrt[42]*lu1^4*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 45714603924230250*Sqrt[42]*lu1^5* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 22751949428749050* Sqrt[42]*lu1^6*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 859318695775328130*Sqrt[42]*lu1^7*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 4828820422721619300*Sqrt[42]*lu1^8* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 13842650199958806480* Sqrt[42]*lu1^9*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 15548406890446320000*Sqrt[42]*lu1^10*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 1167862523741330400*Sqrt[42]*lu1^11* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 9243098840386756800* Sqrt[42]*lu1^12*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 1071626126180736000*Sqrt[42]*lu1^13*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 16351674120*Sqrt[42]*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) + 564529791600*Sqrt[42]*lu1* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 31336182720000* Sqrt[42]*lu1^2*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 461669739868980*Sqrt[42]*lu1^3*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) + 7874959228114620*Sqrt[42]*lu1^4* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 78113643874149360* Sqrt[42]*lu1^5*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 192664222309843560*Sqrt[42]*lu1^6*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) - 2962539606979521300*Sqrt[42]*lu1^7* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 3775580608571887260* Sqrt[42]*lu1^8*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 18101139033216728040*Sqrt[42]*lu1^9*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) + 49790755379149227840*Sqrt[42]*lu1^10* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 30057139503824249280* Sqrt[42]*lu1^11*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 16356182678869051200*Sqrt[42]*lu1^12*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) - 15668888711264208000*Sqrt[42]*lu1^13* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 192335715*Sqrt[14]* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 29869892910*Sqrt[14]* lu1*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 888400405035*Sqrt[14]*lu1^2*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) - 21905388055980*Sqrt[14]*lu1^3* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 380027571419925* Sqrt[14]*lu1^4*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 1008030117798990*Sqrt[14]*lu1^5*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) - 23832931898294805*Sqrt[14]*lu1^6* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 8290079724017520* Sqrt[14]*lu1^7*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 411551771142952440*Sqrt[14]*lu1^8*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) + 520135528891492800*Sqrt[14]*lu1^9* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 2229791900308624080* Sqrt[14]*lu1^10*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 6427518387700924800*Sqrt[14]*lu1^11*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) - 6091702818197568000*Sqrt[14]*lu1^12* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 2027219946111360000* Sqrt[14]*lu1^13*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 229470975*Sqrt[42]*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 17315606520*Sqrt[42]*lu1*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) + 743545041615*Sqrt[42]*lu1^2* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 625308342210*Sqrt[42]* lu1^3*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 128842154765325*Sqrt[42]*lu1^4*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) + 595627266826260*Sqrt[42]*lu1^5* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 5328698932088745* Sqrt[42]*lu1^6*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 19026454347412770*Sqrt[42]*lu1^7*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) - 137254230696404220*Sqrt[42]*lu1^8* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 86094622366883400* Sqrt[42]*lu1^9*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 1561551147723987120*Sqrt[42]*lu1^10*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) + 3082361108311564320*Sqrt[42]*lu1^11* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 2180645122005182400* Sqrt[42]*lu1^12*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 438156571281072000*Sqrt[42]*lu1^13*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t])) - 19116217080*Sqrt[14]*(f42[t] + I*f42n[t])^ 2*(g44[t] - I*g44n[t]) - 512206196490*Sqrt[14]*lu1* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 32743416602340*Sqrt[14]*lu1^2*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) - 260138138498370*Sqrt[14]*lu1^3* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 13516264143519300*Sqrt[14]*lu1^4*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) - 98805888095008590*Sqrt[14]*lu1^5* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 132240004992535500*Sqrt[14]*lu1^6*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) + 2123992977353339130*Sqrt[14]*lu1^7* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 18169613607351255660* Sqrt[14]*lu1^8*(f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 61944854911769980800*Sqrt[14]*lu1^9*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) + 50355039974972243040*Sqrt[14]*lu1^10* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 68175818781907235040* Sqrt[14]*lu1^11*(f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 81598208128670318400*Sqrt[14]*lu1^12*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) + 2357667083812320000*Sqrt[14]*lu1^13* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 234707382000*Sqrt[5]* f40[t]*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 7764408128232*Sqrt[5]*lu1*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) + 398723311679616*Sqrt[5]*lu1^2*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) + 5608412599840344*Sqrt[5]* lu1^3*f40[t]*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 71497589916995424*Sqrt[5]*lu1^4*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) - 1180764649788212664*Sqrt[5]*lu1^5*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 1924284891230944704* Sqrt[5]*lu1^6*f40[t]*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) + 39678324241136123592*Sqrt[5]*lu1^7*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) + 152826038998597793808*Sqrt[5]*lu1^8*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) + 100399534399234006272* Sqrt[5]*lu1^9*f40[t]*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 229781001444280288128*Sqrt[5]*lu1^10*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) - 293666849862968050560*Sqrt[5]*lu1^11*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 27250990766436729600* Sqrt[5]*lu1^12*f40[t]*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) + 41009321863052928000*Sqrt[5]*lu1^13*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) - 3024828765*(f44[t] + I*f44n[t])*g20[t]* (g44[t] - I*g44n[t]) - 351044606430*lu1*(f44[t] + I*f44n[t])*g20[t]* (g44[t] - I*g44n[t]) + 9920337062265*lu1^2*(f44[t] + I*f44n[t])* g20[t]*(g44[t] - I*g44n[t]) + 237522850709760*lu1^3* (f44[t] + I*f44n[t])*g20[t]*(g44[t] - I*g44n[t]) - 2444407198258095*lu1^4*(f44[t] + I*f44n[t])*g20[t]* (g44[t] - I*g44n[t]) - 6234787844934390*lu1^5*(f44[t] + I*f44n[t])* g20[t]*(g44[t] - I*g44n[t]) + 92824345887972615*lu1^6* (f44[t] + I*f44n[t])*g20[t]*(g44[t] - I*g44n[t]) - 58891796328603420*lu1^7*(f44[t] + I*f44n[t])*g20[t]* (g44[t] - I*g44n[t]) - 1507408494935468580*lu1^8* (f44[t] + I*f44n[t])*g20[t]*(g44[t] - I*g44n[t]) + 1273424581019802960*lu1^9*(f44[t] + I*f44n[t])*g20[t]* (g44[t] - I*g44n[t]) + 17501892921350444880*lu1^10* (f44[t] + I*f44n[t])*g20[t]*(g44[t] - I*g44n[t]) + 29555047842293131200*lu1^11*(f44[t] + I*f44n[t])*g20[t]* (g44[t] - I*g44n[t]) + 16990610191907688000*lu1^12* (f44[t] + I*f44n[t])*g20[t]*(g44[t] - I*g44n[t]) + 2937974243168160000*lu1^13*(f44[t] + I*f44n[t])*g20[t]* (g44[t] - I*g44n[t]) - 314512470*Sqrt[42]*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 92849719230*Sqrt[42]*lu1* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 2130768208350*Sqrt[42]*lu1^2*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 62103308864850*Sqrt[42]* lu1^3*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) - 565426956253230*Sqrt[42]*lu1^4* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 5143202653475610*Sqrt[42]*lu1^5*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 19452048833992890* Sqrt[42]*lu1^6*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) + 215814018305848950*Sqrt[42]*lu1^7* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 25358361774864300*Sqrt[42]*lu1^8*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 3016807101185610960* Sqrt[42]*lu1^9*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) - 7762207885622835840*Sqrt[42]*lu1^10* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 5117822470431828000*Sqrt[42]*lu1^11*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 3158289233710008000* Sqrt[42]*lu1^12*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) + 3416660577771840000*Sqrt[42]*lu1^13* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 152477640*Sqrt[5]*(f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) + 290875572288*Sqrt[5]*lu1*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) - 2881350884664*Sqrt[5]*lu1^2* (f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) - 18031100801616*Sqrt[5]*lu1^3*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) - 213511388570424*Sqrt[5]*lu1^4* (f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) - 5966942838472224*Sqrt[5]*lu1^5*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) + 40601802568405176*Sqrt[5]*lu1^6* (f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) + 331880748146266032*Sqrt[5]*lu1^7*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) - 288288482734893312*Sqrt[5]*lu1^8* (f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) - 5924959434075040128*Sqrt[5]*lu1^9*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) - 14237523745762601088*Sqrt[5]*lu1^10* (f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) - 10728647055827124480*Sqrt[5]*lu1^11*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) + 1260643297795660800*Sqrt[5]*lu1^12* (f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) + 2496056898746880000*Sqrt[5]*lu1^13*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) + 182658240*Sqrt[14]*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 74935214910*Sqrt[14]*lu1* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 1249374677940*Sqrt[14]*lu1^2*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 32557942577970*Sqrt[14]* lu1^3*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) + 283507195973580*Sqrt[14]*lu1^4* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 920057708857050*Sqrt[14]*lu1^5*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 13896579239611020* Sqrt[14]*lu1^6*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) + 14843477963616570*Sqrt[14]*lu1^7* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 359392325537789460*Sqrt[14]*lu1^8*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 219672697925989440* Sqrt[14]*lu1^9*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) - 5123279146246774560*Sqrt[14]*lu1^10* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 9961765611505066080*Sqrt[14]*lu1^11*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 4934863112978404800* Sqrt[14]*lu1^12*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) + 1217771988199200000*Sqrt[14]*lu1^13* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 6712464330*Sqrt[14]*(f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 189845254170*Sqrt[14]*lu1*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 12375091061190*Sqrt[14]*lu1^2* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 174186900832230*Sqrt[14]*lu1^3*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) - 4168620808530750*Sqrt[14]*lu1^4* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 16026794244656910*Sqrt[14]*lu1^5*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 225086237581752690*Sqrt[14]*lu1^6* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 270591082613524530*Sqrt[14]*lu1^7*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) - 1838787800147709840*Sqrt[14]*lu1^8* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 4293312914560784400* Sqrt[14]*lu1^9*(f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 224703202077525600*Sqrt[14]*lu1^10*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 14139074342518313760*Sqrt[14]*lu1^11* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 19622923668194246400* Sqrt[14]*lu1^12*(f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 7648406624738880000*Sqrt[14]*lu1^13*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 16351674120*Sqrt[42]*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 564529791600*Sqrt[42]* lu1*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 31336182720000*Sqrt[42]*lu1^2*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 461669739868980*Sqrt[42]* lu1^3*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) + 7874959228114620*Sqrt[42]*lu1^4* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 78113643874149360*Sqrt[42]*lu1^5*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 192664222309843560* Sqrt[42]*lu1^6*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) - 2962539606979521300*Sqrt[42]*lu1^7* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 3775580608571887260*Sqrt[42]*lu1^8*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 18101139033216728040* Sqrt[42]*lu1^9*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) + 49790755379149227840*Sqrt[42]*lu1^10* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 30057139503824249280*Sqrt[42]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 16356182678869051200* Sqrt[42]*lu1^12*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) - 15668888711264208000*Sqrt[42]*lu1^13* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 19116217080*Sqrt[14]*(f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 512206196490*Sqrt[14]*lu1*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) + 32743416602340*Sqrt[14]*lu1^2* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 260138138498370*Sqrt[14]*lu1^3*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) - 13516264143519300*Sqrt[14]*lu1^4* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 98805888095008590*Sqrt[14]*lu1^5*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) + 132240004992535500*Sqrt[14]*lu1^6* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 2123992977353339130* Sqrt[14]*lu1^7*(f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 18169613607351255660*Sqrt[14]*lu1^8*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) + 61944854911769980800*Sqrt[14]*lu1^9* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 50355039974972243040* Sqrt[14]*lu1^10*(f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 68175818781907235040*Sqrt[14]*lu1^11*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) - 81598208128670318400*Sqrt[14]*lu1^12* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 2357667083812320000* Sqrt[14]*lu1^13*(f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 234707382000*Sqrt[5]*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) - 7764408128232*Sqrt[5]*lu1*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) + 398723311679616*Sqrt[5]* lu1^2*f40[t]*(f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) + 5608412599840344*Sqrt[5]*lu1^3*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) - 71497589916995424*Sqrt[5]*lu1^4*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 1180764649788212664* Sqrt[5]*lu1^5*f40[t]*(f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 1924284891230944704*Sqrt[5]*lu1^6*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) + 39678324241136123592*Sqrt[5]*lu1^7*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) + 152826038998597793808* Sqrt[5]*lu1^8*f40[t]*(f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) + 100399534399234006272*Sqrt[5]*lu1^9*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) - 229781001444280288128*Sqrt[5]*lu1^10*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 293666849862968050560* Sqrt[5]*lu1^11*f40[t]*(f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 27250990766436729600*Sqrt[5]*lu1^12*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) + 41009321863052928000*Sqrt[5]*lu1^13*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 3024828765*(f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) - 351044606430*lu1*(f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) + 9920337062265*lu1^2*(f44[t] - I*f44n[t])*g20[t]* (g44[t] + I*g44n[t]) + 237522850709760*lu1^3*(f44[t] - I*f44n[t])* g20[t]*(g44[t] + I*g44n[t]) - 2444407198258095*lu1^4* (f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) - 6234787844934390*lu1^5*(f44[t] - I*f44n[t])*g20[t]* (g44[t] + I*g44n[t]) + 92824345887972615*lu1^6*(f44[t] - I*f44n[t])* g20[t]*(g44[t] + I*g44n[t]) - 58891796328603420*lu1^7* (f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) - 1507408494935468580*lu1^8*(f44[t] - I*f44n[t])*g20[t]* (g44[t] + I*g44n[t]) + 1273424581019802960*lu1^9* (f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) + 17501892921350444880*lu1^10*(f44[t] - I*f44n[t])*g20[t]* (g44[t] + I*g44n[t]) + 29555047842293131200*lu1^11* (f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) + 16990610191907688000*lu1^12*(f44[t] - I*f44n[t])*g20[t]* (g44[t] + I*g44n[t]) + 2937974243168160000*lu1^13* (f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) + 192335715*Sqrt[14]*(f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) + 29869892910*Sqrt[14]*lu1*(f22[t] - I*f22n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 888400405035*Sqrt[14]* lu1^2*(f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) - 21905388055980*Sqrt[14]*lu1^3* (f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 380027571419925*Sqrt[14]*lu1^4*(f22[t] - I*f22n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 1008030117798990* Sqrt[14]*lu1^5*(f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) - 23832931898294805*Sqrt[14]*lu1^6* (f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 8290079724017520*Sqrt[14]*lu1^7*(f22[t] - I*f22n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 411551771142952440* Sqrt[14]*lu1^8*(f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) + 520135528891492800*Sqrt[14]*lu1^9* (f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 2229791900308624080*Sqrt[14]*lu1^10*(f22[t] - I*f22n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 6427518387700924800* Sqrt[14]*lu1^11*(f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) - 6091702818197568000*Sqrt[14]*lu1^12* (f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 2027219946111360000*Sqrt[14]*lu1^13*(f22[t] - I*f22n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 314512470*Sqrt[42]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 92849719230*Sqrt[42]*lu1*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) + 2130768208350*Sqrt[42]*lu1^2* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 62103308864850*Sqrt[42]*lu1^3*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 565426956253230*Sqrt[42]* lu1^4*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) - 5143202653475610*Sqrt[42]*lu1^5* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 19452048833992890*Sqrt[42]*lu1^6*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 215814018305848950* Sqrt[42]*lu1^7*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) + 25358361774864300*Sqrt[42]*lu1^8* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 3016807101185610960*Sqrt[42]*lu1^9*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 7762207885622835840* Sqrt[42]*lu1^10*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) - 5117822470431828000*Sqrt[42]*lu1^11* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 3158289233710008000*Sqrt[42]*lu1^12*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 3416660577771840000* Sqrt[42]*lu1^13*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) - 152477640*Sqrt[5]*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) + 290875572288*Sqrt[5]*lu1*(f44[t] - I*f44n[t])* g40[t]*(g44[t] + I*g44n[t]) - 2881350884664*Sqrt[5]*lu1^2* (f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) - 18031100801616*Sqrt[5]*lu1^3*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) - 213511388570424*Sqrt[5]*lu1^4* (f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) - 5966942838472224*Sqrt[5]*lu1^5*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) + 40601802568405176*Sqrt[5]*lu1^6* (f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) + 331880748146266032*Sqrt[5]*lu1^7*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) - 288288482734893312*Sqrt[5]*lu1^8* (f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) - 5924959434075040128*Sqrt[5]*lu1^9*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) - 14237523745762601088*Sqrt[5]*lu1^10* (f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) - 10728647055827124480*Sqrt[5]*lu1^11*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) + 1260643297795660800*Sqrt[5]*lu1^12* (f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) + 2496056898746880000*Sqrt[5]*lu1^13*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) - 229470975*Sqrt[42]*(f22[t] - I*f22n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 17315606520*Sqrt[42]*lu1* (f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 743545041615*Sqrt[42]*lu1^2*(f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) - 625308342210*Sqrt[42]*lu1^3* (f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 128842154765325*Sqrt[42]*lu1^4*(f22[t] - I*f22n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 595627266826260*Sqrt[42]* lu1^5*(f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) + 5328698932088745*Sqrt[42]*lu1^6* (f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 19026454347412770*Sqrt[42]*lu1^7*(f22[t] - I*f22n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 137254230696404220* Sqrt[42]*lu1^8*(f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) + 86094622366883400*Sqrt[42]*lu1^9* (f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 1561551147723987120*Sqrt[42]*lu1^10*(f22[t] - I*f22n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 3082361108311564320* Sqrt[42]*lu1^11*(f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) + 2180645122005182400*Sqrt[42]*lu1^12* (f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 438156571281072000*Sqrt[42]*lu1^13*(f22[t] - I*f22n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 182658240*Sqrt[14]* (f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 74935214910*Sqrt[14]*lu1*(f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) - 1249374677940*Sqrt[14]*lu1^2* (f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 32557942577970*Sqrt[14]*lu1^3*(f42[t] - I*f42n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 283507195973580*Sqrt[14]* lu1^4*(f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) + 920057708857050*Sqrt[14]*lu1^5* (f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 13896579239611020*Sqrt[14]*lu1^6*(f42[t] - I*f42n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 14843477963616570* Sqrt[14]*lu1^7*(f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) + 359392325537789460*Sqrt[14]*lu1^8* (f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 219672697925989440*Sqrt[14]*lu1^9*(f42[t] - I*f42n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 5123279146246774560* Sqrt[14]*lu1^10*(f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) - 9961765611505066080*Sqrt[14]*lu1^11* (f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 4934863112978404800*Sqrt[14]*lu1^12*(f42[t] - I*f42n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 1217771988199200000* Sqrt[14]*lu1^13*(f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) - 20575296*Sqrt[5]*f40[t]*(g44[t] - I*g44n[t])* (g44[t] + I*g44n[t]) + 590913070776*Sqrt[5]*lu1*f40[t]* (g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) - 6879051304272*Sqrt[5]* lu1^2*f40[t]*(g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) - 163794452616648*Sqrt[5]*lu1^3*f40[t]*(g44[t] - I*g44n[t])* (g44[t] + I*g44n[t]) + 626549054859504*Sqrt[5]*lu1^4*f40[t]* (g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) + 11077835255227944* Sqrt[5]*lu1^5*f40[t]*(g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) + 27769276482170832*Sqrt[5]*lu1^6*f40[t]*(g44[t] - I*g44n[t])* (g44[t] + I*g44n[t]) - 525498257447241624*Sqrt[5]*lu1^7*f40[t]* (g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) - 1205918697977156016* Sqrt[5]*lu1^8*f40[t]*(g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) + 5842934109051798528*Sqrt[5]*lu1^9*f40[t]*(g44[t] - I*g44n[t])* (g44[t] + I*g44n[t]) + 20084567336166517632*Sqrt[5]*lu1^10*f40[t]* (g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) + 13272940866024443520* Sqrt[5]*lu1^11*f40[t]*(g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) - 8658442845281376000*Sqrt[5]*lu1^12*f40[t]*(g44[t] - I*g44n[t])* (g44[t] + I*g44n[t]) - 6986014714417536000*Sqrt[5]*lu1^13*f40[t]* (g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) + f20[t]*(84942*(541647 - 41838660*lu1 + 322639533*lu1^2 + 29782877622*lu1^3 - 401120277439*lu1^4 - 3846574666864*lu1^5 + 42760040119675*lu1^6 + 193094512188366*lu1^7 + 63049295137464*lu1^8 + 380243318753712*lu1^9 - 2828961912185936* lu1^10 - 6030475826112800*lu1^11 - 879262408998400*lu1^12 + 1174708328640000*lu1^13)*f22[t]^2 + 84942*(541647 - 41838660*lu1 + 322639533*lu1^2 + 29782877622*lu1^3 - 401120277439*lu1^4 - 3846574666864*lu1^5 + 42760040119675*lu1^6 + 193094512188366*lu1^7 + 63049295137464*lu1^8 + 380243318753712*lu1^9 - 2828961912185936* lu1^10 - 6030475826112800*lu1^11 - 879262408998400*lu1^12 + 1174708328640000*lu1^13)*f22n[t]^2 + 1309677109362*f40[t]^2 - 58484292050520*lu1*f40[t]^2 + 135261158708358*lu1^2*f40[t]^2 + 19336248626337252*lu1^3*f40[t]^2 - 211005652458011634*lu1^4* f40[t]^2 - 1263647639921288544*lu1^5*f40[t]^2 - 3940977260354215350*lu1^6*f40[t]^2 + 174313112956529204916*lu1^7* f40[t]^2 + 1289304089166053033424*lu1^8*f40[t]^2 + 2578724294124424483872*lu1^9*f40[t]^2 - 426988204541493346656* lu1^10*f40[t]^2 - 4864609878139544967360*lu1^11*f40[t]^2 - 3358865149349040844800*lu1^12*f40[t]^2 - 558792740940819840000* lu1^13*f40[t]^2 + 246758351724*f42[t]^2 - 26257911630120*lu1* f42[t]^2 + 639055227664116*lu1^2*f42[t]^2 - 1629876111826176*lu1^3* f42[t]^2 + 42506733014703972*lu1^4*f42[t]^2 - 1446244673339693448* lu1^5*f42[t]^2 - 11575095767795643540*lu1^6*f42[t]^2 + 170352300763488456432*lu1^7*f42[t]^2 + 1093988346661643900688*lu1^8* f42[t]^2 + 2346689056325322210624*lu1^9*f42[t]^2 + 268801040875455759168*lu1^10*f42[t]^2 - 4879404867991296602880* lu1^11*f42[t]^2 - 4472795917186361990400*lu1^12*f42[t]^2 - 487231936307835264000*lu1^13*f42[t]^2 + 246758351724*f42n[t]^2 - 26257911630120*lu1*f42n[t]^2 + 639055227664116*lu1^2*f42n[t]^2 - 1629876111826176*lu1^3*f42n[t]^2 + 42506733014703972*lu1^4* f42n[t]^2 - 1446244673339693448*lu1^5*f42n[t]^2 - 11575095767795643540*lu1^6*f42n[t]^2 + 170352300763488456432*lu1^7* f42n[t]^2 + 1093988346661643900688*lu1^8*f42n[t]^2 + 2346689056325322210624*lu1^9*f42n[t]^2 + 268801040875455759168* lu1^10*f42n[t]^2 - 4879404867991296602880*lu1^11*f42n[t]^2 - 4472795917186361990400*lu1^12*f42n[t]^2 - 487231936307835264000* lu1^13*f42n[t]^2 + 743742389124*f44[t]^2 - 55173268175760*lu1* f44[t]^2 + 1007728095359916*lu1^2*f44[t]^2 + 19851239216194344* lu1^3*f44[t]^2 - 710156060027507268*lu1^4*f44[t]^2 + 1621376078132577312*lu1^5*f44[t]^2 + 4194550617150884340*lu1^6* f44[t]^2 + 44865721109765799432*lu1^7*f44[t]^2 + 156952716522010482528*lu1^8*f44[t]^2 - 392095706543510187456*lu1^9* f44[t]^2 - 2077439077631847851712*lu1^10*f44[t]^2 - 2740753615115720050560*lu1^11*f44[t]^2 - 1358544731321059968000* lu1^12*f44[t]^2 - 208776999973231872000*lu1^13*f44[t]^2 + 743742389124*f44n[t]^2 - 55173268175760*lu1*f44n[t]^2 + 1007728095359916*lu1^2*f44n[t]^2 + 19851239216194344*lu1^3* f44n[t]^2 - 710156060027507268*lu1^4*f44n[t]^2 + 1621376078132577312*lu1^5*f44n[t]^2 + 4194550617150884340*lu1^6* f44n[t]^2 + 44865721109765799432*lu1^7*f44n[t]^2 + 156952716522010482528*lu1^8*f44n[t]^2 - 392095706543510187456*lu1^9* f44n[t]^2 - 2077439077631847851712*lu1^10*f44n[t]^2 - 2740753615115720050560*lu1^11*f44n[t]^2 - 1358544731321059968000* lu1^12*f44n[t]^2 - 208776999973231872000*lu1^13*f44n[t]^2 + 82702897992*Sqrt[5]*f40[t]*g20[t] + 656865906840*Sqrt[5]*lu1*f40[t]* g20[t] - 138697537410432*Sqrt[5]*lu1^2*f40[t]*g20[t] - 866992692728448*Sqrt[5]*lu1^3*f40[t]*g20[t] + 56217300147647496* Sqrt[5]*lu1^4*f40[t]*g20[t] + 245311220860796376*Sqrt[5]*lu1^5* f40[t]*g20[t] - 5027392456680456720*Sqrt[5]*lu1^6*f40[t]*g20[t] - 36447362049561441264*Sqrt[5]*lu1^7*f40[t]*g20[t] - 64666432399972493376*Sqrt[5]*lu1^8*f40[t]*g20[t] + 62409073460333288832*Sqrt[5]*lu1^9*f40[t]*g20[t] + 213778144352499876864*Sqrt[5]*lu1^10*f40[t]*g20[t] + 79315234911327317760*Sqrt[5]*lu1^11*f40[t]*g20[t] - 76904274137609318400*Sqrt[5]*lu1^12*f40[t]*g20[t] - 41125090623192576000*Sqrt[5]*lu1^13*f40[t]*g20[t] + 154806795*g20[t]^2 - 61762177620*lu1*g20[t]^2 + 1493765166465*lu1^2*g20[t]^2 + 43575688123110*lu1^3*g20[t]^2 - 999449708097555*lu1^4*g20[t]^2 - 4356486142145280*lu1^5*g20[t]^2 + 110644074486709335*lu1^6*g20[t]^2 + 122489407256532030*lu1^7* g20[t]^2 - 2568631571790878880*lu1^8*g20[t]^2 - 5362424802288599760*lu1^9*g20[t]^2 + 9444643756670968560*lu1^10* g20[t]^2 + 36222793964204047200*lu1^11*g20[t]^2 + 34696749674633904000*lu1^12*g20[t]^2 + 10547413729332480000*lu1^13* g20[t]^2 - 2977294320*Sqrt[3]*f42[t]*g22[t] - 895104587520*Sqrt[3]* lu1*f42[t]*g22[t] + 15837938293320*Sqrt[3]*lu1^2*f42[t]*g22[t] + 844102297158120*Sqrt[3]*lu1^3*f42[t]*g22[t] - 4885536399675360* Sqrt[3]*lu1^4*f42[t]*g22[t] - 137586441729250800*Sqrt[3]*lu1^5* f42[t]*g22[t] - 375338966283178040*Sqrt[3]*lu1^6*f42[t]*g22[t] - 1650598648568658360*Sqrt[3]*lu1^7*f42[t]*g22[t] + 44728271825507624640*Sqrt[3]*lu1^8*f42[t]*g22[t] + 122060385769197670080*Sqrt[3]*lu1^9*f42[t]*g22[t] - 113405527389718312320*Sqrt[3]*lu1^10*f42[t]*g22[t] - 486658228351666800000*Sqrt[3]*lu1^11*f42[t]*g22[t] - 300580657453812736000*Sqrt[3]*lu1^12*f42[t]*g22[t] + 6053283064308480000*Sqrt[3]*lu1^13*f42[t]*g22[t] + 1032045300*g22[t]^2 - 86921148600*lu1*g22[t]^2 + 726292323900*lu1^2*g22[t]^2 + 64416343305600*lu1^3*g22[t]^2 - 840954319276500*lu1^4*g22[t]^2 - 9298778934159000*lu1^5*g22[t]^2 + 101667589021155300*lu1^6*g22[t]^2 + 524306080589662800*lu1^7* g22[t]^2 - 2137770634559788800*lu1^8*g22[t]^2 - 12133945046459808000*lu1^9*g22[t]^2 - 13995989000343979200*lu1^10* g22[t]^2 + 8069509280248416000*lu1^11*g22[t]^2 + 25325050800054720000*lu1^12*g22[t]^2 + 13482283541126400000*lu1^13* g22[t]^2 - 2977294320*Sqrt[3]*f42n[t]*g22n[t] - 895104587520*Sqrt[3]*lu1*f42n[t]*g22n[t] + 15837938293320*Sqrt[3]* lu1^2*f42n[t]*g22n[t] + 844102297158120*Sqrt[3]*lu1^3*f42n[t]* g22n[t] - 4885536399675360*Sqrt[3]*lu1^4*f42n[t]*g22n[t] - 137586441729250800*Sqrt[3]*lu1^5*f42n[t]*g22n[t] - 375338966283178040*Sqrt[3]*lu1^6*f42n[t]*g22n[t] - 1650598648568658360*Sqrt[3]*lu1^7*f42n[t]*g22n[t] + 44728271825507624640*Sqrt[3]*lu1^8*f42n[t]*g22n[t] + 122060385769197670080*Sqrt[3]*lu1^9*f42n[t]*g22n[t] - 113405527389718312320*Sqrt[3]*lu1^10*f42n[t]*g22n[t] - 486658228351666800000*Sqrt[3]*lu1^11*f42n[t]*g22n[t] - 300580657453812736000*Sqrt[3]*lu1^12*f42n[t]*g22n[t] + 6053283064308480000*Sqrt[3]*lu1^13*f42n[t]*g22n[t] + 1032045300*g22n[t]^2 - 86921148600*lu1*g22n[t]^2 + 726292323900*lu1^2*g22n[t]^2 + 64416343305600*lu1^3*g22n[t]^2 - 840954319276500*lu1^4*g22n[t]^2 - 9298778934159000*lu1^5* g22n[t]^2 + 101667589021155300*lu1^6*g22n[t]^2 + 524306080589662800*lu1^7*g22n[t]^2 - 2137770634559788800*lu1^8* g22n[t]^2 - 12133945046459808000*lu1^9*g22n[t]^2 - 13995989000343979200*lu1^10*g22n[t]^2 + 8069509280248416000*lu1^11* g22n[t]^2 + 25325050800054720000*lu1^12*g22n[t]^2 + 13482283541126400000*lu1^13*g22n[t]^2 + 132066584784*f40[t]* g40[t] + 12115964749320*lu1*f40[t]*g40[t] - 378920084300424*lu1^2* f40[t]*g40[t] - 7348290716051856*lu1^3*f40[t]*g40[t] + 65642537378642832*lu1^4*f40[t]*g40[t] + 796447814464268712*lu1^5* f40[t]*g40[t] + 674557258945581720*lu1^6*f40[t]*g40[t] - 31408329977587028448*lu1^7*f40[t]*g40[t] - 74476219094692165872* lu1^8*f40[t]*g40[t] + 130230250444570964544*lu1^9*f40[t]*g40[t] + 456204404218425608448*lu1^10*f40[t]*g40[t] + 176629212998289146880* lu1^11*f40[t]*g40[t] - 288888649776391392000*lu1^12*f40[t]* g40[t] - 168687073337763456000*lu1^13*f40[t]*g40[t] - 1037674638*Sqrt[5]*g20[t]*g40[t] - 82463546880*Sqrt[5]*lu1*g20[t]* g40[t] + 2886633553518*Sqrt[5]*lu1^2*g20[t]*g40[t] + 62361405638532*Sqrt[5]*lu1^3*g20[t]*g40[t] - 988233358923954* Sqrt[5]*lu1^4*g20[t]*g40[t] - 1583236195696584*Sqrt[5]*lu1^5* g20[t]*g40[t] + 33114134201873010*Sqrt[5]*lu1^6*g20[t]*g40[t] - 50916433052591964*Sqrt[5]*lu1^7*g20[t]*g40[t] - 237201136250322816*Sqrt[5]*lu1^8*g20[t]*g40[t] + 1414555732617030432*Sqrt[5]*lu1^9*g20[t]*g40[t] + 6586593894613253664*Sqrt[5]*lu1^10*g20[t]*g40[t] + 11361831556760942400*Sqrt[5]*lu1^11*g20[t]*g40[t] + 9177446312139705600*Sqrt[5]*lu1^12*g20[t]*g40[t] + 2715966367994880000*Sqrt[5]*lu1^13*g20[t]*g40[t] + 2654200062*g40[t]^2 - 342582673320*lu1*g40[t]^2 + 4718826546498*lu1^2*g40[t]^2 + 59105563917732*lu1^3*g40[t]^2 - 717606843865614*lu1^4*g40[t]^2 - 804827546824464*lu1^5*g40[t]^2 + 11840047637258430*lu1^6*g40[t]^2 + 60758779264972596*lu1^7* g40[t]^2 - 183506721123324816*lu1^8*g40[t]^2 - 977255484148051488*lu1^9*g40[t]^2 + 1054699516299422304*lu1^10* g40[t]^2 + 7845677773978190400*lu1^11*g40[t]^2 + 9566153117563737600*lu1^12*g40[t]^2 + 3367214333723520000*lu1^13* g40[t]^2 - 172701135180*f42[t]*g42[t] + 9127032415740*lu1*f42[t]* g42[t] - 24485294691180*lu1^2*f42[t]*g42[t] - 1838032605363780*lu1^3*f42[t]*g42[t] - 17154777008906100*lu1^4* f42[t]*g42[t] + 600862846427295300*lu1^5*f42[t]*g42[t] + 3768739868023805340*lu1^6*f42[t]*g42[t] - 34102616212350750060* lu1^7*f42[t]*g42[t] - 92911150725528112560*lu1^8*f42[t]*g42[t] + 216730040975559514800*lu1^9*f42[t]*g42[t] + 630615147266306963520* lu1^10*f42[t]*g42[t] + 39102266508768688320*lu1^11*f42[t]*g42[t] - 585453549809759904000*lu1^12*f42[t]*g42[t] - 219077259754552416000* lu1^13*f42[t]*g42[t] + 897566670*Sqrt[3]*g22[t]*g42[t] - 65250282240*Sqrt[3]*lu1*g22[t]*g42[t] - 100760632830*Sqrt[3]*lu1^2* g22[t]*g42[t] + 47460190918140*Sqrt[3]*lu1^3*g22[t]*g42[t] - 54921028283550*Sqrt[3]*lu1^4*g22[t]*g42[t] - 4034325513212280* Sqrt[3]*lu1^5*g22[t]*g42[t] - 11245024910506530*Sqrt[3]*lu1^6* g22[t]*g42[t] + 409094107503192540*Sqrt[3]*lu1^7*g22[t]*g42[t] + 375715431775878480*Sqrt[3]*lu1^8*g22[t]*g42[t] - 7183228020068786400*Sqrt[3]*lu1^9*g22[t]*g42[t] - 24070022783613275040*Sqrt[3]*lu1^10*g22[t]*g42[t] - 29012234141575713600*Sqrt[3]*lu1^11*g22[t]*g42[t] - 10970819335956480000*Sqrt[3]*lu1^12*g22[t]*g42[t] + 1836408484310400000*Sqrt[3]*lu1^13*g22[t]*g42[t] + 8808864210*g42[t]^2 - 567489146040*lu1*g42[t]^2 + 1895624903790*lu1^2*g42[t]^2 + 116626766668740*lu1^3*g42[t]^2 + 107919228715110*lu1^4*g42[t]^2 - 7541259471952560*lu1^5*g42[t]^2 - 46555165136754270*lu1^6*g42[t]^2 + 329234531034844980*lu1^7* g42[t]^2 + 1326616212696992280*lu1^8*g42[t]^2 - 2701116847074635280*lu1^9*g42[t]^2 - 15826391304898390560*lu1^10* g42[t]^2 - 20077442020085993280*lu1^11*g42[t]^2 - 6297899147220758400*lu1^12*g42[t]^2 + 1615026680892576000*lu1^13* g42[t]^2 + 2860*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22[t]* (4*Sqrt[3]*(224505 - 43915050*lu1 + 1108393431*lu1^2 - 967546830*lu1^3 - 37064901061*lu1^4 - 582402815550*lu1^5 - 2385659999175*lu1^6 + 2696237620542*lu1^7 + 6409635247980*lu1^ 8 + 4518902606088*lu1^9 + 712599630400*lu1^10)*f42[t] - (-3 + 13*lu1 + 38*lu1^2)*(33*(10971 - 446943*lu1 + 1413570* lu1^2 + 71777104*lu1^3 - 196241207*lu1^4 - 2461822301* lu1^5 - 2623483526*lu1^6 + 4312174372*lu1^7 + 3670265320* lu1^8)*g22[t] + 2*Sqrt[3]*(143802 + 5687325*lu1 - 54103656*lu1^2 + 162616174*lu1^3 - 2257574*lu1^4 - 9307414631*lu1^5 + 3879843916*lu1^6 + 6402601444*lu1^7 + 839027200*lu1^8)*g42[t])) - 172701135180*f42n[t]*g42n[t] + 9127032415740*lu1*f42n[t]*g42n[t] - 24485294691180*lu1^2*f42n[t]* g42n[t] - 1838032605363780*lu1^3*f42n[t]*g42n[t] - 17154777008906100*lu1^4*f42n[t]*g42n[t] + 600862846427295300*lu1^5* f42n[t]*g42n[t] + 3768739868023805340*lu1^6*f42n[t]*g42n[t] - 34102616212350750060*lu1^7*f42n[t]*g42n[t] - 92911150725528112560* lu1^8*f42n[t]*g42n[t] + 216730040975559514800*lu1^9*f42n[t]* g42n[t] + 630615147266306963520*lu1^10*f42n[t]*g42n[t] + 39102266508768688320*lu1^11*f42n[t]*g42n[t] - 585453549809759904000* lu1^12*f42n[t]*g42n[t] - 219077259754552416000*lu1^13*f42n[t]* g42n[t] + 897566670*Sqrt[3]*g22n[t]*g42n[t] - 65250282240*Sqrt[3]* lu1*g22n[t]*g42n[t] - 100760632830*Sqrt[3]*lu1^2*g22n[t]*g42n[t] + 47460190918140*Sqrt[3]*lu1^3*g22n[t]*g42n[t] - 54921028283550*Sqrt[3]*lu1^4*g22n[t]*g42n[t] - 4034325513212280*Sqrt[3]*lu1^5*g22n[t]*g42n[t] - 11245024910506530*Sqrt[3]*lu1^6*g22n[t]*g42n[t] + 409094107503192540*Sqrt[3]*lu1^7*g22n[t]*g42n[t] + 375715431775878480*Sqrt[3]*lu1^8*g22n[t]*g42n[t] - 7183228020068786400*Sqrt[3]*lu1^9*g22n[t]*g42n[t] - 24070022783613275040*Sqrt[3]*lu1^10*g22n[t]*g42n[t] - 29012234141575713600*Sqrt[3]*lu1^11*g22n[t]*g42n[t] - 10970819335956480000*Sqrt[3]*lu1^12*g22n[t]*g42n[t] + 1836408484310400000*Sqrt[3]*lu1^13*g22n[t]*g42n[t] + 8808864210*g42n[t]^2 - 567489146040*lu1*g42n[t]^2 + 1895624903790*lu1^2*g42n[t]^2 + 116626766668740*lu1^3*g42n[t]^2 + 107919228715110*lu1^4*g42n[t]^2 - 7541259471952560*lu1^5* g42n[t]^2 - 46555165136754270*lu1^6*g42n[t]^2 + 329234531034844980*lu1^7*g42n[t]^2 + 1326616212696992280*lu1^8* g42n[t]^2 - 2701116847074635280*lu1^9*g42n[t]^2 - 15826391304898390560*lu1^10*g42n[t]^2 - 20077442020085993280*lu1^11* g42n[t]^2 - 6297899147220758400*lu1^12*g42n[t]^2 + 1615026680892576000*lu1^13*g42n[t]^2 + 2860*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]* (4*Sqrt[3]*(224505 - 43915050*lu1 + 1108393431*lu1^2 - 967546830*lu1^3 - 37064901061*lu1^4 - 582402815550*lu1^5 - 2385659999175*lu1^6 + 2696237620542*lu1^7 + 6409635247980*lu1^ 8 + 4518902606088*lu1^9 + 712599630400*lu1^10)*f42n[t] - (-3 + 13*lu1 + 38*lu1^2)*(33*(10971 - 446943*lu1 + 1413570* lu1^2 + 71777104*lu1^3 - 196241207*lu1^4 - 2461822301* lu1^5 - 2623483526*lu1^6 + 4312174372*lu1^7 + 3670265320* lu1^8)*g22n[t] + 2*Sqrt[3]*(143802 + 5687325*lu1 - 54103656*lu1^2 + 162616174*lu1^3 - 2257574*lu1^4 - 9307414631*lu1^5 + 3879843916*lu1^6 + 6402601444*lu1^7 + 839027200*lu1^8)*g42n[t])) + 35143340400*f44[t]*g44[t] + 15376635570240*lu1*f44[t]*g44[t] - 222111447062400*lu1^2*f44[t]* g44[t] - 10163368054954800*lu1^3*f44[t]*g44[t] + 3097347059958480*lu1^4*f44[t]*g44[t] - 382729135388715360*lu1^5* f44[t]*g44[t] + 2010589360813041120*lu1^6*f44[t]*g44[t] + 5776363605765488400*lu1^7*f44[t]*g44[t] + 39893661457279106400* lu1^8*f44[t]*g44[t] + 230974876547091351360*lu1^9*f44[t]*g44[t] + 395950725661288654080*lu1^10*f44[t]*g44[t] + 111082966624668890880* lu1^11*f44[t]*g44[t] - 205644274277724172800*lu1^12*f44[t]* g44[t] - 109893090275418240000*lu1^13*f44[t]*g44[t] + 2321150580*g44[t]^2 - 324721036080*lu1*g44[t]^2 + 3915603852300*lu1^2*g44[t]^2 + 154563372928440*lu1^3*g44[t]^2 - 1423321924780980*lu1^4*g44[t]^2 - 6473346388094880*lu1^5*g44[t]^2 + 48843588179341620*lu1^6*g44[t]^2 + 203919477186159000*lu1^7* g44[t]^2 - 553328988593814720*lu1^8*g44[t]^2 - 3100629326792376960*lu1^9*g44[t]^2 - 1101894708163596480*lu1^10* g44[t]^2 + 10813212621170789760*lu1^11*g44[t]^2 + 16182161908271654400*lu1^12*g44[t]^2 + 6180521192173440000*lu1^13* g44[t]^2 + 35143340400*f44n[t]*g44n[t] + 15376635570240*lu1* f44n[t]*g44n[t] - 222111447062400*lu1^2*f44n[t]*g44n[t] - 10163368054954800*lu1^3*f44n[t]*g44n[t] + 3097347059958480*lu1^4* f44n[t]*g44n[t] - 382729135388715360*lu1^5*f44n[t]*g44n[t] + 2010589360813041120*lu1^6*f44n[t]*g44n[t] + 5776363605765488400* lu1^7*f44n[t]*g44n[t] + 39893661457279106400*lu1^8*f44n[t]* g44n[t] + 230974876547091351360*lu1^9*f44n[t]*g44n[t] + 395950725661288654080*lu1^10*f44n[t]*g44n[t] + 111082966624668890880*lu1^11*f44n[t]*g44n[t] - 205644274277724172800*lu1^12*f44n[t]*g44n[t] - 109893090275418240000*lu1^13*f44n[t]*g44n[t] + 2321150580*g44n[t]^2 - 324721036080*lu1*g44n[t]^2 + 3915603852300*lu1^2*g44n[t]^2 + 154563372928440*lu1^3*g44n[t]^2 - 1423321924780980*lu1^4*g44n[t]^2 - 6473346388094880*lu1^5* g44n[t]^2 + 48843588179341620*lu1^6*g44n[t]^2 + 203919477186159000*lu1^7*g44n[t]^2 - 553328988593814720*lu1^8* g44n[t]^2 - 3100629326792376960*lu1^9*g44n[t]^2 - 1101894708163596480*lu1^10*g44n[t]^2 + 10813212621170789760*lu1^11* g44n[t]^2 + 16182161908271654400*lu1^12*g44n[t]^2 + 6180521192173440000*lu1^13*g44n[t]^2)))/ (462462*(-3 + 13*lu1 + 38*lu1^2)^3*(-1 + 7*lu1 + 170*lu1^2)^2* (-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*Pi) - (2*cap*(4719*(729729 - 16572600*lu1 - 600159159*lu1^2 + 8682875424*lu1^3 + 109174404027*lu1^4 + 15819304192*lu1^5 - 8827026355725*lu1^6 - 146408160022168*lu1^7 - 345699689659912* lu1^8 + 927509991835184*lu1^9 + 940933836670928*lu1^10 - 1584041193068480*lu1^11 - 974205866972800*lu1^12 + 116945683008000*lu1^13)*f20[t]^3 - 2145*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)* f20[t]^2*(Sqrt[5]*(434589 - 4730031*lu1 - 56895900*lu1^2 - 206276730*lu1^3 + 9035964701*lu1^4 + 54974032181*lu1^5 - 74563347478*lu1^6 - 15495383068*lu1^7 + 32921157416*lu1^8 + 91883855840*lu1^9)*f40[t] + (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*(11*(-237 + 3419*lu1 - 4233*lu1^2 - 52059*lu1^3 + 389478*lu1^4 + 321040*lu1^5)*g20[t] + 2*Sqrt[5]*(249 - 2137*lu1 - 50357*lu1^2 + 153629*lu1^3 - 711124*lu1^4 + 110540*lu1^5)*g40[t])) + f20[t]*(9438*(729729 - 16572600*lu1 - 600159159*lu1^2 + 8682875424*lu1^3 + 109174404027*lu1^4 + 15819304192*lu1^5 - 8827026355725*lu1^6 - 146408160022168*lu1^7 - 345699689659912* lu1^8 + 927509991835184*lu1^9 + 940933836670928*lu1^10 - 1584041193068480*lu1^11 - 974205866972800*lu1^12 + 116945683008000*lu1^13)*f22[t]^2 + 9438*(729729 - 16572600*lu1 - 600159159*lu1^2 + 8682875424*lu1^3 + 109174404027*lu1^4 + 15819304192*lu1^5 - 8827026355725*lu1^6 - 146408160022168*lu1^7 - 345699689659912*lu1^8 + 927509991835184*lu1^9 + 940933836670928*lu1^10 - 1584041193068480*lu1^11 - 974205866972800*lu1^12 + 116945683008000*lu1^13)*f22n[t]^2 + 202216163607*f40[t]^2 - 2498170619520*lu1*f40[t]^2 - 155581606991457*lu1^2*f40[t]^2 - 175854674479908*lu1^3*f40[t]^2 + 26309387744002041*lu1^4*f40[t]^2 + 283854637201220256*lu1^5* f40[t]^2 - 2546716899711562755*lu1^6*f40[t]^2 - 22019814112546513164*lu1^7*f40[t]^2 - 40804991404282621596*lu1^8* f40[t]^2 + 12076609436490616272*lu1^9*f40[t]^2 + 32189978692682140464*lu1^10*f40[t]^2 - 70545733542765193920*lu1^11* f40[t]^2 - 88272329190349012800*lu1^12*f40[t]^2 - 23942079464141664000*lu1^13*f40[t]^2 + 34426173852*f42[t]^2 - 161143620480*lu1*f42[t]^2 - 22172385838572*lu1^2*f42[t]^2 - 787566215066328*lu1^3*f42[t]^2 + 23002075257897156*lu1^4*f42[t]^2 + 140529756226632096*lu1^5*f42[t]^2 - 1848200105537736180*lu1^6* f42[t]^2 - 13466305035473999544*lu1^7*f42[t]^2 - 45216144058034099136*lu1^8*f42[t]^2 - 44848534394118626448*lu1^9* f42[t]^2 + 12075976717627116864*lu1^10*f42[t]^2 - 21924502563894593280*lu1^11*f42[t]^2 - 75808912596213888000*lu1^12* f42[t]^2 - 21548040753978144000*lu1^13*f42[t]^2 + 34426173852*f42n[t]^2 - 161143620480*lu1*f42n[t]^2 - 22172385838572*lu1^2*f42n[t]^2 - 787566215066328*lu1^3*f42n[t]^2 + 23002075257897156*lu1^4*f42n[t]^2 + 140529756226632096*lu1^5* f42n[t]^2 - 1848200105537736180*lu1^6*f42n[t]^2 - 13466305035473999544*lu1^7*f42n[t]^2 - 45216144058034099136*lu1^8* f42n[t]^2 - 44848534394118626448*lu1^9*f42n[t]^2 + 12075976717627116864*lu1^10*f42n[t]^2 - 21924502563894593280*lu1^11* f42n[t]^2 - 75808912596213888000*lu1^12*f42n[t]^2 - 21548040753978144000*lu1^13*f42n[t]^2 + 128649457062*f44[t]^2 - 578166089760*lu1*f44[t]^2 - 50155039895562*lu1^2*f44[t]^2 - 1701907861755528*lu1^3*f44[t]^2 - 31124800664963334*lu1^4* f44[t]^2 + 426156566903352096*lu1^5*f44[t]^2 + 20411967019713570*lu1^6*f44[t]^2 - 4288913983209633624*lu1^7* f44[t]^2 - 5531799080852205336*lu1^8*f44[t]^2 - 21893051987027994528*lu1^9*f44[t]^2 - 79512856434613145376*lu1^10* f44[t]^2 - 93068903885069132160*lu1^11*f44[t]^2 - 31048302294767721600*lu1^12*f44[t]^2 + 1062126508621248000*lu1^13* f44[t]^2 + 128649457062*f44n[t]^2 - 578166089760*lu1*f44n[t]^2 - 50155039895562*lu1^2*f44n[t]^2 - 1701907861755528*lu1^3*f44n[t]^2 - 31124800664963334*lu1^4*f44n[t]^2 + 426156566903352096*lu1^5* f44n[t]^2 + 20411967019713570*lu1^6*f44n[t]^2 - 4288913983209633624*lu1^7*f44n[t]^2 - 5531799080852205336*lu1^8* f44n[t]^2 - 21893051987027994528*lu1^9*f44n[t]^2 - 79512856434613145376*lu1^10*f44n[t]^2 - 93068903885069132160*lu1^11* f44n[t]^2 - 31048302294767721600*lu1^12*f44n[t]^2 + 1062126508621248000*lu1^13*f44n[t]^2 - 2006268264*Sqrt[5]*f40[t]* g20[t] + 48656939760*Sqrt[5]*lu1*f40[t]*g20[t] + 1152504615834*Sqrt[5]*lu1^2*f40[t]*g20[t] - 20486129374854*Sqrt[5]* lu1^3*f40[t]*g20[t] + 70494305684088*Sqrt[5]*lu1^4*f40[t]*g20[t] - 815047425101052*Sqrt[5]*lu1^5*f40[t]*g20[t] + 4331880495592650* Sqrt[5]*lu1^6*f40[t]*g20[t] + 73247803548537618*Sqrt[5]*lu1^7* f40[t]*g20[t] - 139662740458875348*Sqrt[5]*lu1^8*f40[t]*g20[t] - 1426223302862776704*Sqrt[5]*lu1^9*f40[t]*g20[t] - 2310615668660078208*Sqrt[5]*lu1^10*f40[t]*g20[t] - 643815408580961760*Sqrt[5]*lu1^11*f40[t]*g20[t] + 962633484004420800*Sqrt[5]*lu1^12*f40[t]*g20[t] + 500457297596256000*Sqrt[5]*lu1^13*f40[t]*g20[t] - 252972720*Sqrt[3]*f42[t]*g22[t] + 6822850320*Sqrt[3]*lu1*f42[t]* g22[t] - 65850629130*Sqrt[3]*lu1^2*f42[t]*g22[t] - 155441067210*Sqrt[3]*lu1^3*f42[t]*g22[t] + 166872042119640*Sqrt[3]* lu1^4*f42[t]*g22[t] - 848123458774020*Sqrt[3]*lu1^5*f42[t]* g22[t] - 8796258905844410*Sqrt[3]*lu1^6*f42[t]*g22[t] - 68899293860407010*Sqrt[3]*lu1^7*f42[t]*g22[t] + 504962934888334780*Sqrt[3]*lu1^8*f42[t]*g22[t] + 2061396443765195680*Sqrt[3]*lu1^9*f42[t]*g22[t] - 1478913498874285760*Sqrt[3]*lu1^10*f42[t]*g22[t] - 11599717603399296800*Sqrt[3]*lu1^11*f42[t]*g22[t] - 12403910932811112000*Sqrt[3]*lu1^12*f42[t]*g22[t] - 3477602577889440000*Sqrt[3]*lu1^13*f42[t]*g22[t] - 252972720*Sqrt[3]*f42n[t]*g22n[t] + 6822850320*Sqrt[3]*lu1*f42n[t]* g22n[t] - 65850629130*Sqrt[3]*lu1^2*f42n[t]*g22n[t] - 155441067210*Sqrt[3]*lu1^3*f42n[t]*g22n[t] + 166872042119640* Sqrt[3]*lu1^4*f42n[t]*g22n[t] - 848123458774020*Sqrt[3]*lu1^5* f42n[t]*g22n[t] - 8796258905844410*Sqrt[3]*lu1^6*f42n[t]*g22n[t] - 68899293860407010*Sqrt[3]*lu1^7*f42n[t]*g22n[t] + 504962934888334780*Sqrt[3]*lu1^8*f42n[t]*g22n[t] + 2061396443765195680*Sqrt[3]*lu1^9*f42n[t]*g22n[t] - 1478913498874285760*Sqrt[3]*lu1^10*f42n[t]*g22n[t] - 11599717603399296800*Sqrt[3]*lu1^11*f42n[t]*g22n[t] - 12403910932811112000*Sqrt[3]*lu1^12*f42n[t]*g22n[t] - 3477602577889440000*Sqrt[3]*lu1^13*f42n[t]*g22n[t] - 1580303844*f40[t]*g40[t] + 71361999540*lu1*f40[t]*g40[t] - 2007253560906*lu1^2*f40[t]*g40[t] + 10567027892286*lu1^3*f40[t]* g40[t] + 527772003893628*lu1^4*f40[t]*g40[t] - 3160918607731152*lu1^5*f40[t]*g40[t] - 37201886861464290*lu1^6* f40[t]*g40[t] + 3841854772339038*lu1^7*f40[t]*g40[t] + 1221031155557569332*lu1^8*f40[t]*g40[t] + 2463463880567875776*lu1^9* f40[t]*g40[t] - 4583122207236069888*lu1^10*f40[t]*g40[t] - 16993318229435216160*lu1^11*f40[t]*g40[t] - 15866923172085739200* lu1^12*f40[t]*g40[t] - 4711518726141024000*lu1^13*f40[t]*g40[t] - 2106960660*f42[t]*g42[t] + 115507466100*lu1*f42[t]*g42[t] - 3190745059920*lu1^2*f42[t]*g42[t] + 436054797720*lu1^3*f42[t]* g42[t] + 752049024869220*lu1^4*f42[t]*g42[t] - 232938831755340*lu1^5*f42[t]*g42[t] - 55088399211564600*lu1^6* f42[t]*g42[t] - 167551821552701040*lu1^7*f42[t]*g42[t] + 1804894534387466040*lu1^8*f42[t]*g42[t] + 5406573461280624240*lu1^9* f42[t]*g42[t] - 7922523382361499840*lu1^10*f42[t]*g42[t] - 39342354645844579200*lu1^11*f42[t]*g42[t] - 40658600955164073600* lu1^12*f42[t]*g42[t] - 11967309288776352000*lu1^13*f42[t]*g42[t] + 1430*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22[t]* (Sqrt[3]*(2298807 - 16330077*lu1 - 276321204*lu1^2 - 3969949278*lu1^3 + 68145071767*lu1^4 + 389096346959*lu1^5 + 82026095486*lu1^6 + 506114641532*lu1^7 + 264151881464*lu1^8 + 1554042858464*lu1^9 + 993166048000*lu1^10)*f42[t] - (9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*(55*(-171 + 2259*lu1 + 4775*lu1^2 - 51695*lu1^3 + 324148*lu1^4 + 167660*lu1^5)*g22[t] + 8*Sqrt[3]*(-453 + 4976*lu1 + 50628*lu1^2 - 205506*lu1^3 + 1067937*lu1^4 + 133810*lu1^5)*g42[t])) - 2106960660*f42n[t]*g42n[t] + 115507466100*lu1*f42n[t]*g42n[t] - 3190745059920*lu1^2*f42n[t]* g42n[t] + 436054797720*lu1^3*f42n[t]*g42n[t] + 752049024869220*lu1^4*f42n[t]*g42n[t] - 232938831755340*lu1^5* f42n[t]*g42n[t] - 55088399211564600*lu1^6*f42n[t]*g42n[t] - 167551821552701040*lu1^7*f42n[t]*g42n[t] + 1804894534387466040* lu1^8*f42n[t]*g42n[t] + 5406573461280624240*lu1^9*f42n[t]* g42n[t] - 7922523382361499840*lu1^10*f42n[t]*g42n[t] - 39342354645844579200*lu1^11*f42n[t]*g42n[t] - 40658600955164073600* lu1^12*f42n[t]*g42n[t] - 11967309288776352000*lu1^13*f42n[t]* g42n[t] + 1430*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]* (Sqrt[3]*(2298807 - 16330077*lu1 - 276321204*lu1^2 - 3969949278*lu1^3 + 68145071767*lu1^4 + 389096346959*lu1^5 + 82026095486*lu1^6 + 506114641532*lu1^7 + 264151881464*lu1^8 + 1554042858464*lu1^9 + 993166048000*lu1^10)*f42n[t] - (9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*(55*(-171 + 2259*lu1 + 4775*lu1^2 - 51695*lu1^3 + 324148*lu1^4 + 167660*lu1^5)*g22n[t] + 8*Sqrt[3]*(-453 + 4976*lu1 + 50628*lu1^2 - 205506*lu1^3 + 1067937*lu1^4 + 133810*lu1^5)*g42n[t])) - 3433502520*f44[t]*g44[t] + 107567361720*lu1*f44[t]*g44[t] + 455367735900*lu1^2*f44[t]*g44[t] - 31240951639380*lu1^3*f44[t]*g44[t] + 522976838889960*lu1^4*f44[t]* g44[t] - 2051524068738480*lu1^5*f44[t]*g44[t] - 23907584305518900*lu1^6*f44[t]*g44[t] + 102259395564444300*lu1^7* f44[t]*g44[t] + 584744595801358440*lu1^8*f44[t]*g44[t] - 646070619100966080*lu1^9*f44[t]*g44[t] - 7065150940119310080*lu1^10* f44[t]*g44[t] - 13829998606647478080*lu1^11*f44[t]*g44[t] - 11115564718389667200*lu1^12*f44[t]*g44[t] - 3162748759571520000* lu1^13*f44[t]*g44[t] - 3433502520*f44n[t]*g44n[t] + 107567361720*lu1*f44n[t]*g44n[t] + 455367735900*lu1^2*f44n[t]* g44n[t] - 31240951639380*lu1^3*f44n[t]*g44n[t] + 522976838889960*lu1^4*f44n[t]*g44n[t] - 2051524068738480*lu1^5* f44n[t]*g44n[t] - 23907584305518900*lu1^6*f44n[t]*g44n[t] + 102259395564444300*lu1^7*f44n[t]*g44n[t] + 584744595801358440*lu1^8* f44n[t]*g44n[t] - 646070619100966080*lu1^9*f44n[t]*g44n[t] - 7065150940119310080*lu1^10*f44n[t]*g44n[t] - 13829998606647478080* lu1^11*f44n[t]*g44n[t] - 11115564718389667200*lu1^12*f44n[t]* g44n[t] - 3162748759571520000*lu1^13*f44n[t]*g44n[t]) + 2*(715*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22[t]^2* (Sqrt[5]*(1801287 - 14825496*lu1 - 228234483*lu1^2 - 2351285634*lu1^3 + 47420206205*lu1^4 + 286045186452*lu1^5 - 15857941293*lu1^6 + 155250898686*lu1^7 + 165962293788*lu1^8 + 947768370408*lu1^9 + 588466879840*lu1^10)*f40[t] + Sqrt[14]*(2110014 - 25137249*lu1 - 312208803*lu1^2 + 153419664*lu1^3 + 32665815724*lu1^4 + 262936891383*lu1^5 - 325367992923*lu1^6 - 742089431166*lu1^7 + 37355824548*lu1^8 + 76713276648*lu1^9 - 37163744800*lu1^10)*f44[t] - (9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*(22*(72 - 519*lu1 - 18287*lu1^2 + 51149*lu1^3 - 226153*lu1^4 + 62410*lu1^5)*g20[t] + Sqrt[5]*(-2061 + 22041*lu1 + 252869*lu1^2 - 975653*lu1^3 + 4982872*lu1^4 + 424700*lu1^5)*g40[t] - 7*Sqrt[14]*(1 + 2*lu1)^2*(-81 + 1641*lu1 - 13279*lu1^2 + 38855*lu1^3)*g44[t])) + 715*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]^2* (Sqrt[5]*(1801287 - 14825496*lu1 - 228234483*lu1^2 - 2351285634*lu1^3 + 47420206205*lu1^4 + 286045186452*lu1^5 - 15857941293*lu1^6 + 155250898686*lu1^7 + 165962293788*lu1^8 + 947768370408*lu1^9 + 588466879840*lu1^10)*f40[t] + Sqrt[14]*(-2110014 + 25137249*lu1 + 312208803*lu1^2 - 153419664*lu1^3 - 32665815724*lu1^4 - 262936891383*lu1^5 + 325367992923*lu1^6 + 742089431166*lu1^7 - 37355824548*lu1^8 - 76713276648*lu1^9 + 37163744800*lu1^10)*f44[t] - (9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*(22*(72 - 519*lu1 - 18287*lu1^2 + 51149*lu1^3 - 226153*lu1^4 + 62410*lu1^5)*g20[t] + Sqrt[5]*(-2061 + 22041*lu1 + 252869*lu1^2 - 975653*lu1^3 + 4982872*lu1^4 + 424700*lu1^5)*g40[t] + 7*Sqrt[14]*(1 + 2*lu1)^2*(-81 + 1641*lu1 - 13279*lu1^2 + 38855*lu1^3)*g44[t])) - f22n[t]*(Sqrt[5]*f40[t]*(Sqrt[3]*(-9384489117 + 241384074390*lu1 + 13981123042377*lu1^2 - 160582544273832*lu1^3 - 9744546503132171*lu1^4 + 14955190004366974*lu1^5 + 475333033115798255*lu1^6 + 3249202227806409204*lu1^7 + 8061915231080556016*lu1^8 - 964935061493024032*lu1^9 - 16625703626435277664*lu1^10 - 2927289910069049760*lu1^11 + 12823573113824491200*lu1^12 + 4943323445023152000*lu1^13)* f42n[t] + (-3 + 13*lu1 + 38*lu1^2)*(429*(1006992 - 19088253*lu1 - 622484403*lu1^2 + 5643476276*lu1^3 - 42198914226*lu1^4 + 808593285451*lu1^5 + 2274680456265* lu1^6 - 32638493058458*lu1^7 - 85683328498004*lu1^8 + 2916816448120*lu1^9 + 107904106614400*lu1^10 + 43401067248000*lu1^11)*g22n[t] + Sqrt[3]*(-65796948 + 2632803147*lu1 - 51072449433*lu1^2 - 102787779994*lu1^3 + 5038407160234*lu1^4 + 50305209136511*lu1^5 - 217235280529365*lu1^6 - 4685600375851808*lu1^7 - 1563830006264*lu1^8 + 36961291252534480*lu1^9 + 50775336893924400*lu1^10 + 15877495497920000*lu1^11)* g42n[t])) - Sqrt[3]*f42n[t]*(5*Sqrt[14]*(-7315864515 + 98995690098*lu1 + 5904047861103*lu1^2 - 12890108238424* lu1^3 - 842543237805813*lu1^4 - 7709461584176342*lu1^5 + 75394918924934985*lu1^6 + 675183362501497916*lu1^7 + 923556411374323392*lu1^8 - 1341888683035036096*lu1^9 - 1471286402045525344*lu1^10 + 2186210088695851808*lu1^11 + 2285163913432778560*lu1^12 + 642878158892188800*lu1^13)*f44[ t] + (-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*(715*(-318528 + 6222522*lu1 + 174054185*lu1^2 - 1651668838*lu1^3 + 29525968426*lu1^4 - 307629196758*lu1^5 - 1312608259327* lu1^6 + 2598419211202*lu1^7 + 22206616288660*lu1^8 + 29756110611000*lu1^9 + 9027824652000*lu1^10)*g20[t] + Sqrt[5]*(-36110214 + 522574167*lu1 + 45606213773*lu1^2 - 453581717304*lu1^3 - 4725132477192*lu1^4 - 1255185337249* lu1^5 + 391096463872861*lu1^6 + 3069139481532522*lu1^7 + 815694338595540*lu1^8 - 8602401754518200*lu1^9 - 6863639365884000*lu1^10)*g40[t] + 105*Sqrt[14]*(-319842 + 8165367*lu1 + 52241433*lu1^2 - 1052462904*lu1^3 + 8025757620*lu1^4 - 146493571329*lu1^5 - 369053945071* lu1^6 + 4234305820906*lu1^7 + 15085470427572*lu1^8 + 12957189598280*lu1^9 + 6783532000*lu1^10)*g44[t])) + 5*Sqrt[14]*(-((-3 + 13*lu1 + 38*lu1^2)*(f44n[t]* (429*(-110376 + 2392623*lu1 + 77564559*lu1^2 - 1100589396* lu1^3 - 4585745374*lu1^4 + 23523384031*lu1^5 + 578082618155*lu1^6 + 3638182933630*lu1^7 + 6771732099964* lu1^8 + 11318930428280*lu1^9 + 11871283738400*lu1^10 + 2540386464000*lu1^11)*g22[t] + Sqrt[3]*(-14675472 + 324676287*lu1 + 13724112351*lu1^2 - 210353078106*lu1^3 - 2470250029282*lu1^4 + 16309890807763*lu1^5 + 220111876618235*lu1^6 + 809541198274200*lu1^7 + 588534148353992*lu1^8 + 1107202230584528*lu1^9 + 2051293731803440*lu1^10 + 429758444886400*lu1^11)* g42[t]) - f44[t]*(429*(-110376 + 2392623*lu1 + 77564559* lu1^2 - 1100589396*lu1^3 - 4585745374*lu1^4 + 23523384031*lu1^5 + 578082618155*lu1^6 + 3638182933630* lu1^7 + 6771732099964*lu1^8 + 11318930428280*lu1^9 + 11871283738400*lu1^10 + 2540386464000*lu1^11)*g22n[t] + Sqrt[3]*(-14675472 + 324676287*lu1 + 13724112351*lu1^2 - 210353078106*lu1^3 - 2470250029282*lu1^4 + 16309890807763*lu1^5 + 220111876618235*lu1^6 + 809541198274200*lu1^7 + 588534148353992*lu1^8 + 1107202230584528*lu1^9 + 2051293731803440*lu1^10 + 429758444886400*lu1^11)*g42n[t]))) + Sqrt[3]*f42[t]*( (-7315864515 + 98995690098*lu1 + 5904047861103*lu1^2 - 12890108238424*lu1^3 - 842543237805813*lu1^4 - 7709461584176342*lu1^5 + 75394918924934985*lu1^6 + 675183362501497916*lu1^7 + 923556411374323392*lu1^8 - 1341888683035036096*lu1^9 - 1471286402045525344*lu1^10 + 2186210088695851808*lu1^11 + 2285163913432778560*lu1^12 + 642878158892188800*lu1^13)*f44n[t] + 21*(-3 + 13*lu1 + 38*lu1^2)^2*(319842 - 6566157*lu1 - 82087026*lu1^2 + 578753514*lu1^3 - 5855952786*lu1^4 + 123098148687*lu1^5 + 925966234978*lu1^6 + 1583493710748*lu1^7 + 682370748120* lu1^8 + 357028000*lu1^9)*g44n[t]))) + f22[t]*(-(Sqrt[5]*f40[t]*(Sqrt[3]*(-9384489117 + 241384074390*lu1 + 13981123042377*lu1^2 - 160582544273832*lu1^3 - 9744546503132171*lu1^4 + 14955190004366974*lu1^5 + 475333033115798255*lu1^6 + 3249202227806409204*lu1^7 + 8061915231080556016*lu1^8 - 964935061493024032*lu1^9 - 16625703626435277664*lu1^10 - 2927289910069049760*lu1^11 + 12823573113824491200*lu1^12 + 4943323445023152000*lu1^13)* f42[t] + (-3 + 13*lu1 + 38*lu1^2)*(429*(1006992 - 19088253* lu1 - 622484403*lu1^2 + 5643476276*lu1^3 - 42198914226* lu1^4 + 808593285451*lu1^5 + 2274680456265*lu1^6 - 32638493058458*lu1^7 - 85683328498004*lu1^8 + 2916816448120*lu1^9 + 107904106614400*lu1^10 + 43401067248000*lu1^11)*g22[t] + Sqrt[3]*(-65796948 + 2632803147*lu1 - 51072449433*lu1^2 - 102787779994*lu1^3 + 5038407160234*lu1^4 + 50305209136511*lu1^5 - 217235280529365*lu1^6 - 4685600375851808*lu1^7 - 1563830006264*lu1^8 + 36961291252534480*lu1^9 + 50775336893924400*lu1^10 + 15877495497920000*lu1^11)* g42[t]))) - Sqrt[3]*f42[t]*(5*Sqrt[14]*(-7315864515 + 98995690098*lu1 + 5904047861103*lu1^2 - 12890108238424* lu1^3 - 842543237805813*lu1^4 - 7709461584176342*lu1^5 + 75394918924934985*lu1^6 + 675183362501497916*lu1^7 + 923556411374323392*lu1^8 - 1341888683035036096*lu1^9 - 1471286402045525344*lu1^10 + 2186210088695851808*lu1^11 + 2285163913432778560*lu1^12 + 642878158892188800*lu1^13)*f44[ t] - (-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*(715*(-318528 + 6222522*lu1 + 174054185*lu1^2 - 1651668838*lu1^3 + 29525968426*lu1^4 - 307629196758*lu1^5 - 1312608259327* lu1^6 + 2598419211202*lu1^7 + 22206616288660*lu1^8 + 29756110611000*lu1^9 + 9027824652000*lu1^10)*g20[t] + Sqrt[5]*(-36110214 + 522574167*lu1 + 45606213773*lu1^2 - 453581717304*lu1^3 - 4725132477192*lu1^4 - 1255185337249* lu1^5 + 391096463872861*lu1^6 + 3069139481532522*lu1^7 + 815694338595540*lu1^8 - 8602401754518200*lu1^9 - 6863639365884000*lu1^10)*g40[t] - 105*Sqrt[14]*(-319842 + 8165367*lu1 + 52241433*lu1^2 - 1052462904*lu1^3 + 8025757620*lu1^4 - 146493571329*lu1^5 - 369053945071* lu1^6 + 4234305820906*lu1^7 + 15085470427572*lu1^8 + 12957189598280*lu1^9 + 6783532000*lu1^10)*g44[t])) - 5*Sqrt[14]*(-((-3 + 13*lu1 + 38*lu1^2)*(f44[t]* (429*(-110376 + 2392623*lu1 + 77564559*lu1^2 - 1100589396* lu1^3 - 4585745374*lu1^4 + 23523384031*lu1^5 + 578082618155*lu1^6 + 3638182933630*lu1^7 + 6771732099964* lu1^8 + 11318930428280*lu1^9 + 11871283738400*lu1^10 + 2540386464000*lu1^11)*g22[t] + Sqrt[3]*(-14675472 + 324676287*lu1 + 13724112351*lu1^2 - 210353078106*lu1^3 - 2470250029282*lu1^4 + 16309890807763*lu1^5 + 220111876618235*lu1^6 + 809541198274200*lu1^7 + 588534148353992*lu1^8 + 1107202230584528*lu1^9 + 2051293731803440*lu1^10 + 429758444886400*lu1^11)* g42[t]) + f44n[t]*(429*(-110376 + 2392623*lu1 + 77564559*lu1^2 - 1100589396*lu1^3 - 4585745374*lu1^4 + 23523384031*lu1^5 + 578082618155*lu1^6 + 3638182933630* lu1^7 + 6771732099964*lu1^8 + 11318930428280*lu1^9 + 11871283738400*lu1^10 + 2540386464000*lu1^11)*g22n[t] + Sqrt[3]*(-14675472 + 324676287*lu1 + 13724112351*lu1^2 - 210353078106*lu1^3 - 2470250029282*lu1^4 + 16309890807763*lu1^5 + 220111876618235*lu1^6 + 809541198274200*lu1^7 + 588534148353992*lu1^8 + 1107202230584528*lu1^9 + 2051293731803440*lu1^10 + 429758444886400*lu1^11)*g42n[t]))) + 286*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]*((-2110014 + 25137249*lu1 + 312208803*lu1^2 - 153419664*lu1^3 - 32665815724*lu1^4 - 262936891383*lu1^5 + 325367992923*lu1^6 + 742089431166* lu1^7 - 37355824548*lu1^8 - 76713276648*lu1^9 + 37163744800*lu1^10)*f44n[t] - 7*(3 - 19*lu1)^2*(1 + 2*lu1)^ 3*(-81 + 1641*lu1 + 869*lu1^2 - 148989*lu1^3 + 943740*lu1^4 + 695300*lu1^5)*g44n[t]) + Sqrt[3]*f42n[t]*( (-7315864515 + 98995690098*lu1 + 5904047861103*lu1^2 - 12890108238424*lu1^3 - 842543237805813*lu1^4 - 7709461584176342*lu1^5 + 75394918924934985*lu1^6 + 675183362501497916*lu1^7 + 923556411374323392*lu1^8 - 1341888683035036096*lu1^9 - 1471286402045525344*lu1^10 + 2186210088695851808*lu1^11 + 2285163913432778560*lu1^12 + 642878158892188800*lu1^13)*f44n[t] + 21*(-3 + 13*lu1 + 38*lu1^2)^2*(319842 - 6566157*lu1 - 82087026*lu1^2 + 578753514*lu1^3 - 5855952786*lu1^4 + 123098148687*lu1^5 + 925966234978*lu1^6 + 1583493710748*lu1^7 + 682370748120* lu1^8 + 357028000*lu1^9)*g44n[t]))) - 3*(-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)* (5*Sqrt[5]*(183415395 - 823899053*lu1 - 134391154003*lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^4 + 234471413108559* lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f40[t]^3 + 917076975*Sqrt[14]*f42n[t]^2*f44[t] - 4119495265*Sqrt[14]*lu1* f42n[t]^2*f44[t] - 671955770015*Sqrt[14]*lu1^2*f42n[t]^2* f44[t] - 5581337925520*Sqrt[14]*lu1^3*f42n[t]^2*f44[t] + 59858817621265*Sqrt[14]*lu1^4*f42n[t]^2*f44[t] + 1172357065542795*Sqrt[14]*lu1^5*f42n[t]^2*f44[t] + 1128742885794755*Sqrt[14]*lu1^6*f42n[t]^2*f44[t] + 1650209412724550*Sqrt[14]*lu1^7*f42n[t]^2*f44[t] - 789177963605500*Sqrt[14]*lu1^8*f42n[t]^2*f44[t] + 3083573598315000*Sqrt[14]*lu1^9*f42n[t]^2*f44[t] + 36215685*f42n[t]^2*g20[t] - 424801575*lu1*f42n[t]^2*g20[t] - 21262140680*lu1^2*f42n[t]^2*g20[t] - 63918535890*lu1^3*f42n[t]^2* g20[t] - 3899110762195*lu1^4*f42n[t]^2*g20[t] + 49988521991485*lu1^5*f42n[t]^2*g20[t] - 22933928721330*lu1^6* f42n[t]^2*g20[t] - 481176207255700*lu1^7*f42n[t]^2*g20[t] - 367945995681000*lu1^8*f42n[t]^2*g20[t] + 82250035560000*lu1^9* f42n[t]^2*g20[t] - 22300740*f44[t]^2*g20[t] - 1857240*lu1*f44[t]^2*g20[t] + 9134917330*lu1^2*f44[t]^2*g20[t] + 367676911140*lu1^3*f44[t]^2*g20[t] + 6728441978720*lu1^4*f44[t]^2* g20[t] - 78308395023320*lu1^5*f44[t]^2*g20[t] + 73837032503850*lu1^6*f44[t]^2*g20[t] + 337844993878700*lu1^7* f44[t]^2*g20[t] - 318651596109000*lu1^8*f44[t]^2*g20[t] + 47884560570000*lu1^9*f44[t]^2*g20[t] - 22300740*f44n[t]^2* g20[t] - 1857240*lu1*f44n[t]^2*g20[t] + 9134917330*lu1^2* f44n[t]^2*g20[t] + 367676911140*lu1^3*f44n[t]^2*g20[t] + 6728441978720*lu1^4*f44n[t]^2*g20[t] - 78308395023320*lu1^5* f44n[t]^2*g20[t] + 73837032503850*lu1^6*f44n[t]^2*g20[t] + 337844993878700*lu1^7*f44n[t]^2*g20[t] - 318651596109000*lu1^8* f44n[t]^2*g20[t] + 47884560570000*lu1^9*f44n[t]^2*g20[t] - 26658225*Sqrt[42]*f42n[t]*f44n[t]*g22[t] + 425597535*Sqrt[42]*lu1* f42n[t]*f44n[t]*g22[t] + 17347176110*Sqrt[42]*lu1^2*f42n[t]* f44n[t]*g22[t] - 93657283170*Sqrt[42]*lu1^3*f42n[t]*f44n[t]* g22[t] + 1015492771315*Sqrt[42]*lu1^4*f42n[t]*f44n[t]*g22[t] - 16427781267205*Sqrt[42]*lu1^5*f42n[t]*f44n[t]*g22[t] - 8710513780320*Sqrt[42]*lu1^6*f42n[t]*f44n[t]*g22[t] + 336385495593400*Sqrt[42]*lu1^7*f42n[t]*f44n[t]*g22[t] + 504510965442000*Sqrt[42]*lu1^8*f42n[t]*f44n[t]*g22[t] - 102771990090000*Sqrt[42]*lu1^9*f42n[t]*f44n[t]*g22[t] + 26658225*Sqrt[42]*f42n[t]*f44[t]*g22n[t] - 425597535*Sqrt[42]*lu1* f42n[t]*f44[t]*g22n[t] - 17347176110*Sqrt[42]*lu1^2*f42n[t]* f44[t]*g22n[t] + 93657283170*Sqrt[42]*lu1^3*f42n[t]*f44[t]* g22n[t] - 1015492771315*Sqrt[42]*lu1^4*f42n[t]*f44[t]*g22n[t] + 16427781267205*Sqrt[42]*lu1^5*f42n[t]*f44[t]*g22n[t] + 8710513780320*Sqrt[42]*lu1^6*f42n[t]*f44[t]*g22n[t] - 336385495593400*Sqrt[42]*lu1^7*f42n[t]*f44[t]*g22n[t] - 504510965442000*Sqrt[42]*lu1^8*f42n[t]*f44[t]*g22n[t] + 102771990090000*Sqrt[42]*lu1^9*f42n[t]*f44[t]*g22n[t] + 46596330*Sqrt[5]*f42n[t]^2*g40[t] - 607022196*Sqrt[5]*lu1* f42n[t]^2*g40[t] - 679359241*Sqrt[5]*lu1^2*f42n[t]^2*g40[t] - 84613329218*Sqrt[5]*lu1^3*f42n[t]^2*g40[t] - 1238961589624* Sqrt[5]*lu1^4*f42n[t]^2*g40[t] + 21662651734108*Sqrt[5]*lu1^5* f42n[t]^2*g40[t] + 34046315814027*Sqrt[5]*lu1^6*f42n[t]^2* g40[t] - 453037158787510*Sqrt[5]*lu1^7*f42n[t]^2*g40[t] - 943657382479900*Sqrt[5]*lu1^8*f42n[t]^2*g40[t] - 183537251821000*Sqrt[5]*lu1^9*f42n[t]^2*g40[t] - 29192940*Sqrt[5]*f44[t]^2*g40[t] + 695459856*Sqrt[5]*lu1*f44[t]^2* g40[t] + 27458460386*Sqrt[5]*lu1^2*f44[t]^2*g40[t] - 402582741932*Sqrt[5]*lu1^3*f44[t]^2*g40[t] - 2149885218376* Sqrt[5]*lu1^4*f44[t]^2*g40[t] + 17622877309072*Sqrt[5]*lu1^5* f44[t]^2*g40[t] - 52473140456982*Sqrt[5]*lu1^6*f44[t]^2*g40[t] + 360649716944300*Sqrt[5]*lu1^7*f44[t]^2*g40[t] + 964496927823800*Sqrt[5]*lu1^8*f44[t]^2*g40[t] - 255065505814000*Sqrt[5]*lu1^9*f44[t]^2*g40[t] - 29192940*Sqrt[5]*f44n[t]^2*g40[t] + 695459856*Sqrt[5]*lu1* f44n[t]^2*g40[t] + 27458460386*Sqrt[5]*lu1^2*f44n[t]^2*g40[t] - 402582741932*Sqrt[5]*lu1^3*f44n[t]^2*g40[t] - 2149885218376* Sqrt[5]*lu1^4*f44n[t]^2*g40[t] + 17622877309072*Sqrt[5]*lu1^5* f44n[t]^2*g40[t] - 52473140456982*Sqrt[5]*lu1^6*f44n[t]^2* g40[t] + 360649716944300*Sqrt[5]*lu1^7*f44n[t]^2*g40[t] + 964496927823800*Sqrt[5]*lu1^8*f44n[t]^2*g40[t] - 255065505814000*Sqrt[5]*lu1^9*f44n[t]^2*g40[t] - 5*(-3 + 13*lu1 + 38*lu1^2)*f40[t]^2*(11*(-313476 + 3801166*lu1 + 218815315*lu1^2 - 298059489*lu1^3 + 10876327381*lu1^4 - 121869551525*lu1^5 - 527880645000*lu1^6 + 99982921500*lu1^7)* g20[t] - Sqrt[5]*(544266 + 4634282*lu1 + 673466061*lu1^2 - 11131315363*lu1^3 - 156174206835*lu1^4 + 533782425345*lu1^5 - 462190511200*lu1^6 + 904476800500*lu1^7)*g40[t]) + 9239400*Sqrt[14]*f42n[t]*f44n[t]*g42[t] + 54300720*Sqrt[14]*lu1* f42n[t]*f44n[t]*g42[t] + 17081749100*Sqrt[14]*lu1^2*f42n[t]* f44n[t]*g42[t] - 275570533160*Sqrt[14]*lu1^3*f42n[t]*f44n[t]* g42[t] - 1641810652480*Sqrt[14]*lu1^4*f42n[t]*f44n[t]*g42[t] + 19012519299760*Sqrt[14]*lu1^5*f42n[t]*f44n[t]*g42[t] - 6471208626180*Sqrt[14]*lu1^6*f42n[t]*f44n[t]*g42[t] - 34578316263160*Sqrt[14]*lu1^7*f42n[t]*f44n[t]*g42[t] - 8185659751600*Sqrt[14]*lu1^8*f42n[t]*f44n[t]*g42[t] - 266752165540000*Sqrt[14]*lu1^9*f42n[t]*f44n[t]*g42[t] - 9239400*Sqrt[14]*f42n[t]*f44[t]*g42n[t] - 54300720*Sqrt[14]*lu1* f42n[t]*f44[t]*g42n[t] - 17081749100*Sqrt[14]*lu1^2*f42n[t]* f44[t]*g42n[t] + 275570533160*Sqrt[14]*lu1^3*f42n[t]*f44[t]* g42n[t] + 1641810652480*Sqrt[14]*lu1^4*f42n[t]*f44[t]*g42n[t] - 19012519299760*Sqrt[14]*lu1^5*f42n[t]*f44[t]*g42n[t] + 6471208626180*Sqrt[14]*lu1^6*f42n[t]*f44[t]*g42n[t] + 34578316263160*Sqrt[14]*lu1^7*f42n[t]*f44[t]*g42n[t] + 8185659751600*Sqrt[14]*lu1^8*f42n[t]*f44[t]*g42n[t] + 266752165540000*Sqrt[14]*lu1^9*f42n[t]*f44[t]*g42n[t] + 1075410*Sqrt[14]*f42n[t]^2*g44[t] + 20163780*Sqrt[14]*lu1* f42n[t]^2*g44[t] + 7384397055*Sqrt[14]*lu1^2*f42n[t]^2*g44[t] - 63944995170*Sqrt[14]*lu1^3*f42n[t]^2*g44[t] + 105225503040*Sqrt[14]*lu1^4*f42n[t]^2*g44[t] - 1260490443660*Sqrt[14]*lu1^5*f42n[t]^2*g44[t] + 5484407390595*Sqrt[14]*lu1^6*f42n[t]^2*g44[t] + 23230809316890*Sqrt[14]*lu1^7*f42n[t]^2*g44[t] - 37210864847100*Sqrt[14]*lu1^8*f42n[t]^2*g44[t] - 94901573445000*Sqrt[14]*lu1^9*f42n[t]^2*g44[t] - f42[t]^2*(5*Sqrt[14]*(183415395 - 823899053*lu1 - 134391154003* lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f44[t] - (-3 + 13*lu1 + 38*lu1^2)*( 55*(-219489 + 1623436*lu1 + 133116154*lu1^2 + 984785256* lu1^3 + 29584515043*lu1^4 - 162287227580*lu1^5 - 189513954900*lu1^6 + 39354084000*lu1^7)*g20[t] - 11*Sqrt[5]*(1412010 - 12275902*lu1 - 55896759*lu1^2 - 2961754327*lu1^3 - 51086584959*lu1^4 + 397553235645*lu1^5 + 2107340484800*lu1^6 + 439084334500*lu1^7)*g40[t] + 105*Sqrt[14]*(3414 + 78806*lu1 + 23827267*lu1^2 - 98750285*lu1^3 + 207943363*lu1^4 - 4351306001*lu1^5 + 1189107040*lu1^6 + 23784855500*lu1^7)*g44[t])) - 5*Sqrt[14]*f42[t]*((-3 + 13*lu1 + 38*lu1^2)*(f44[t]* (11*Sqrt[3]*(-161565 + 1879264*lu1 + 111231388*lu1^2 - 61813206*lu1^3 + 7295575333*lu1^4 - 68731118210*lu1^5 - 258215217300*lu1^6 + 49173201000*lu1^7)*g22[t] + 4*(153990 + 1572302*lu1 + 293459667*lu1^2 - 3301267837* lu1^3 - 37951849053*lu1^4 + 110601249831*lu1^5 - 109304815840*lu1^6 + 350989691500*lu1^7)*g42[t]) + f44n[t]*(11*Sqrt[3]*(-161565 + 1879264*lu1 + 111231388* lu1^2 - 61813206*lu1^3 + 7295575333*lu1^4 - 68731118210* lu1^5 - 258215217300*lu1^6 + 49173201000*lu1^7)* g22n[t] + 4*(153990 + 1572302*lu1 + 293459667*lu1^2 - 3301267837*lu1^3 - 37951849053*lu1^4 + 110601249831* lu1^5 - 109304815840*lu1^6 + 350989691500*lu1^7)* g42n[t])) + 2*f42n[t]*((183415395 - 823899053*lu1 - 134391154003*lu1^2 - 1116267585104*lu1^3 + 11971763524253* lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f44n[t] - 21*(-3 + 13*lu1 + 38*lu1^2)^2*(-1138 - 31200*lu1 - 8092037*lu1^2 - 2543932*lu1^3 - 182837295*lu1^4 + 625917250*lu1^5)* g44n[t])) - Sqrt[5]*f40[t]*(11*(183415395 - 823899053*lu1 - 134391154003*lu1^2 - 1116267585104*lu1^3 + 11971763524253* lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f42[t]^2 + 11*(183415395 - 823899053*lu1 - 134391154003*lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f42n[t]^2 + 33*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*f42[ t]*(5*Sqrt[3]*(263 - 92327*lu1 - 2648207*lu1^2 + 8966003* lu1^3 - 21277760*lu1^4 + 3624700*lu1^5)*g22[t] + 4*(24104 - 236722*lu1 - 3988311*lu1^2 + 6102638*lu1^3 - 92906695*lu1^4 + 16789050*lu1^5)*g42[t]) + 33*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*f42n[ t]*(5*Sqrt[3]*(263 - 92327*lu1 - 2648207*lu1^2 + 8966003* lu1^3 - 21277760*lu1^4 + 3624700*lu1^5)*g22n[t] + 4*(24104 - 236722*lu1 - 3988311*lu1^2 + 6102638*lu1^3 - 92906695*lu1^4 + 16789050*lu1^5)*g42n[t]) + 14*((183415395 - 823899053*lu1 - 134391154003*lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f44[t]^2 + 42*(-3 + 13*lu1 + 38*lu1^2)^2*(-9836 + 28110*lu1 + 236939*lu1^2 + 39214870*lu1^3 + 858013575*lu1^4 + 266309750*lu1^5)*f44[t]* g44[t] + f44n[t]*((183415395 - 823899053*lu1 - 134391154003* lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f44n[t] + 42*(-3 + 13*lu1 + 38*lu1^2)^2*(-9836 + 28110*lu1 + 236939*lu1^2 + 39214870*lu1^3 + 858013575*lu1^4 + 266309750*lu1^5)* g44n[t])))))))/(77077*(-3 + 13*lu1 + 38*lu1^2)^3* (-1 + 7*lu1 + 170*lu1^2)^2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*Pi) eqG22f = (mar*(84942*(541647 - 41838660*lu1 + 322639533*lu1^2 + 29782877622*lu1^3 - 401120277439*lu1^4 - 3846574666864*lu1^5 + 42760040119675*lu1^6 + 193094512188366*lu1^7 + 63049295137464*lu1^8 + 380243318753712*lu1^9 - 2828961912185936*lu1^10 - 6030475826112800*lu1^11 - 879262408998400*lu1^12 + 1174708328640000*lu1^13)*f22[t]^3 - 11557517400*Sqrt[3]*f22n[t]^2*f42[t] + 2357059419000*Sqrt[3]*lu1* f22n[t]^2*f42[t] - 66851398322280*Sqrt[3]*lu1^2*f22n[t]^2*f42[t] - 1232737719384600*Sqrt[3]*lu1^3*f22n[t]^2*f42[t] + 43843703618715000*Sqrt[3]*lu1^4*f22n[t]^2*f42[t] + 33667794724192200*Sqrt[3]*lu1^5*f22n[t]^2*f42[t] - 1672005745459655320*Sqrt[3]*lu1^6*f22n[t]^2*f42[t] - 26593884818597913960*Sqrt[3]*lu1^7*f22n[t]^2*f42[t] - 126104442839004458400*Sqrt[3]*lu1^8*f22n[t]^2*f42[t] - 14904922019955739200*Sqrt[3]*lu1^9*f22n[t]^2*f42[t] + 402733930855588675200*Sqrt[3]*lu1^10*f22n[t]^2*f42[t] + 521198749077356338560*Sqrt[3]*lu1^11*f22n[t]^2*f42[t] + 267556644075014694400*Sqrt[3]*lu1^12*f22n[t]^2*f42[t] + 37662885745605120000*Sqrt[3]*lu1^13*f22n[t]^2*f42[t] + 423021702150*Sqrt[3]*f40[t]^2*f42[t] - 9812005267500*Sqrt[3]*lu1* f40[t]^2*f42[t] - 197151957019350*Sqrt[3]*lu1^2*f40[t]^2*f42[t] + 1997172064996200*Sqrt[3]*lu1^3*f40[t]^2*f42[t] + 24653348779879650*Sqrt[3]*lu1^4*f40[t]^2*f42[t] + 90355486881592500*Sqrt[3]*lu1^5*f40[t]^2*f42[t] - 3468428693484545850*Sqrt[3]*lu1^6*f40[t]^2*f42[t] + 1684429718152978800*Sqrt[3]*lu1^7*f40[t]^2*f42[t] + 52032763869228995400*Sqrt[3]*lu1^8*f40[t]^2*f42[t] + 72248165296715656800*Sqrt[3]*lu1^9*f40[t]^2*f42[t] - 57269955611935797600*Sqrt[3]*lu1^10*f40[t]^2*f42[t] - 198815718618403123200*Sqrt[3]*lu1^11*f40[t]^2*f42[t] - 163413203977848720000*Sqrt[3]*lu1^12*f40[t]^2*f42[t] - 45321460139067840000*Sqrt[3]*lu1^13*f40[t]^2*f42[t] + 846043404300*Sqrt[3]*f42[t]^3 - 19624010535000*Sqrt[3]*lu1*f42[t]^3 - 394303914038700*Sqrt[3]*lu1^2*f42[t]^3 + 3994344129992400*Sqrt[3]* lu1^3*f42[t]^3 + 49306697559759300*Sqrt[3]*lu1^4*f42[t]^3 + 180710973763185000*Sqrt[3]*lu1^5*f42[t]^3 - 6936857386969091700* Sqrt[3]*lu1^6*f42[t]^3 + 3368859436305957600*Sqrt[3]*lu1^7* f42[t]^3 + 104065527738457990800*Sqrt[3]*lu1^8*f42[t]^3 + 144496330593431313600*Sqrt[3]*lu1^9*f42[t]^3 - 114539911223871595200* Sqrt[3]*lu1^10*f42[t]^3 - 397631437236806246400*Sqrt[3]*lu1^11* f42[t]^3 - 326826407955697440000*Sqrt[3]*lu1^12*f42[t]^3 - 90642920278135680000*Sqrt[3]*lu1^13*f42[t]^3 + 2379616137000*f22n[t]* f42[t]*f42n[t] - 94077304362000*lu1*f22n[t]*f42[t]*f42n[t] - 230289332202000*lu1^2*f22n[t]*f42[t]*f42n[t] + 44496323569225800*lu1^3*f22n[t]*f42[t]*f42n[t] - 670692783385747800*lu1^4*f22n[t]*f42[t]*f42n[t] - 54853458761368800*lu1^5*f22n[t]*f42[t]*f42n[t] + 8390334414440052000*lu1^6*f22n[t]*f42[t]*f42n[t] + 127917248685933501000*lu1^7*f22n[t]*f42[t]*f42n[t] + 1099007457772422837600*lu1^8*f22n[t]*f42[t]*f42n[t] + 1779216822781796210400*lu1^9*f22n[t]*f42[t]*f42n[t] - 1785803896369572177600*lu1^10*f22n[t]*f42[t]*f42n[t] - 3878372941246188576000*lu1^11*f22n[t]*f42[t]*f42n[t] - 1131422487084330336000*lu1^12*f22n[t]*f42[t]*f42n[t] - 503939281370878080000*lu1^13*f22n[t]*f42[t]*f42n[t] + 846043404300*Sqrt[3]*f42[t]*f42n[t]^2 - 19624010535000*Sqrt[3]*lu1* f42[t]*f42n[t]^2 - 394303914038700*Sqrt[3]*lu1^2*f42[t]*f42n[t]^2 + 3994344129992400*Sqrt[3]*lu1^3*f42[t]*f42n[t]^2 + 49306697559759300*Sqrt[3]*lu1^4*f42[t]*f42n[t]^2 + 180710973763185000*Sqrt[3]*lu1^5*f42[t]*f42n[t]^2 - 6936857386969091700*Sqrt[3]*lu1^6*f42[t]*f42n[t]^2 + 3368859436305957600*Sqrt[3]*lu1^7*f42[t]*f42n[t]^2 + 104065527738457990800*Sqrt[3]*lu1^8*f42[t]*f42n[t]^2 + 144496330593431313600*Sqrt[3]*lu1^9*f42[t]*f42n[t]^2 - 114539911223871595200*Sqrt[3]*lu1^10*f42[t]*f42n[t]^2 - 397631437236806246400*Sqrt[3]*lu1^11*f42[t]*f42n[t]^2 - 326826407955697440000*Sqrt[3]*lu1^12*f42[t]*f42n[t]^2 - 90642920278135680000*Sqrt[3]*lu1^13*f42[t]*f42n[t]^2 - 676834723440*Sqrt[210]*f40[t]*f42[t]*f44[t] + 15699208428000*Sqrt[210]*lu1*f40[t]*f42[t]*f44[t] + 315443131230960*Sqrt[210]*lu1^2*f40[t]*f42[t]*f44[t] - 3195475303993920*Sqrt[210]*lu1^3*f40[t]*f42[t]*f44[t] - 39445358047807440*Sqrt[210]*lu1^4*f40[t]*f42[t]*f44[t] - 144568779010548000*Sqrt[210]*lu1^5*f40[t]*f42[t]*f44[t] + 5549485909575273360*Sqrt[210]*lu1^6*f40[t]*f42[t]*f44[t] - 2695087549044766080*Sqrt[210]*lu1^7*f40[t]*f42[t]*f44[t] - 83252422190766392640*Sqrt[210]*lu1^8*f40[t]*f42[t]*f44[t] - 115597064474745050880*Sqrt[210]*lu1^9*f40[t]*f42[t]*f44[t] + 91631928979097276160*Sqrt[210]*lu1^10*f40[t]*f42[t]*f44[t] + 318105149789444997120*Sqrt[210]*lu1^11*f40[t]*f42[t]*f44[t] + 261461126364557952000*Sqrt[210]*lu1^12*f40[t]*f42[t]*f44[t] + 72514336222508544000*Sqrt[210]*lu1^13*f40[t]*f42[t]*f44[t] - 5922303830100*Sqrt[3]*f42[t]*f44[t]^2 + 137368073745000*Sqrt[3]*lu1* f42[t]*f44[t]^2 + 2760127398270900*Sqrt[3]*lu1^2*f42[t]*f44[t]^2 - 27960408909946800*Sqrt[3]*lu1^3*f42[t]*f44[t]^2 - 345146882918315100*Sqrt[3]*lu1^4*f42[t]*f44[t]^2 - 1264976816342295000*Sqrt[3]*lu1^5*f42[t]*f44[t]^2 + 48558001708783641900*Sqrt[3]*lu1^6*f42[t]*f44[t]^2 - 23582016054141703200*Sqrt[3]*lu1^7*f42[t]*f44[t]^2 - 728458694169205935600*Sqrt[3]*lu1^8*f42[t]*f44[t]^2 - 1011474314154019195200*Sqrt[3]*lu1^9*f42[t]*f44[t]^2 + 801779378567101166400*Sqrt[3]*lu1^10*f42[t]*f44[t]^2 + 2783420060657643724800*Sqrt[3]*lu1^11*f42[t]*f44[t]^2 + 2287784855689882080000*Sqrt[3]*lu1^12*f42[t]*f44[t]^2 + 634500441946949760000*Sqrt[3]*lu1^13*f42[t]*f44[t]^2 + 158641075800*Sqrt[70]*f22n[t]*f40[t]*f44n[t] - 6271820290800*Sqrt[70]* lu1*f22n[t]*f40[t]*f44n[t] - 15352622146800*Sqrt[70]*lu1^2*f22n[t]* f40[t]*f44n[t] + 2966421571281720*Sqrt[70]*lu1^3*f22n[t]*f40[t]* f44n[t] - 44712852225716520*Sqrt[70]*lu1^4*f22n[t]*f40[t]*f44n[t] - 3656897250757920*Sqrt[70]*lu1^5*f22n[t]*f40[t]*f44n[t] + 559355627629336800*Sqrt[70]*lu1^6*f22n[t]*f40[t]*f44n[t] + 8527816579062233400*Sqrt[70]*lu1^7*f22n[t]*f40[t]*f44n[t] + 73267163851494855840*Sqrt[70]*lu1^8*f22n[t]*f40[t]*f44n[t] + 118614454852119747360*Sqrt[70]*lu1^9*f22n[t]*f40[t]*f44n[t] - 119053593091304811840*Sqrt[70]*lu1^10*f22n[t]*f40[t]*f44n[t] - 258558196083079238400*Sqrt[70]*lu1^11*f22n[t]*f40[t]*f44n[t] - 75428165805622022400*Sqrt[70]*lu1^12*f22n[t]*f40[t]*f44n[t] - 33595952091391872000*Sqrt[70]*lu1^13*f22n[t]*f40[t]*f44n[t] - 676834723440*Sqrt[210]*f40[t]*f42n[t]*f44n[t] + 15699208428000*Sqrt[210]*lu1*f40[t]*f42n[t]*f44n[t] + 315443131230960*Sqrt[210]*lu1^2*f40[t]*f42n[t]*f44n[t] - 3195475303993920*Sqrt[210]*lu1^3*f40[t]*f42n[t]*f44n[t] - 39445358047807440*Sqrt[210]*lu1^4*f40[t]*f42n[t]*f44n[t] - 144568779010548000*Sqrt[210]*lu1^5*f40[t]*f42n[t]*f44n[t] + 5549485909575273360*Sqrt[210]*lu1^6*f40[t]*f42n[t]*f44n[t] - 2695087549044766080*Sqrt[210]*lu1^7*f40[t]*f42n[t]*f44n[t] - 83252422190766392640*Sqrt[210]*lu1^8*f40[t]*f42n[t]*f44n[t] - 115597064474745050880*Sqrt[210]*lu1^9*f40[t]*f42n[t]*f44n[t] + 91631928979097276160*Sqrt[210]*lu1^10*f40[t]*f42n[t]*f44n[t] + 318105149789444997120*Sqrt[210]*lu1^11*f40[t]*f42n[t]*f44n[t] + 261461126364557952000*Sqrt[210]*lu1^12*f40[t]*f42n[t]*f44n[t] + 72514336222508544000*Sqrt[210]*lu1^13*f40[t]*f42n[t]*f44n[t] - 5922303830100*Sqrt[3]*f42[t]*f44n[t]^2 + 137368073745000*Sqrt[3]*lu1* f42[t]*f44n[t]^2 + 2760127398270900*Sqrt[3]*lu1^2*f42[t]*f44n[t]^2 - 27960408909946800*Sqrt[3]*lu1^3*f42[t]*f44n[t]^2 - 345146882918315100*Sqrt[3]*lu1^4*f42[t]*f44n[t]^2 - 1264976816342295000*Sqrt[3]*lu1^5*f42[t]*f44n[t]^2 + 48558001708783641900*Sqrt[3]*lu1^6*f42[t]*f44n[t]^2 - 23582016054141703200*Sqrt[3]*lu1^7*f42[t]*f44n[t]^2 - 728458694169205935600*Sqrt[3]*lu1^8*f42[t]*f44n[t]^2 - 1011474314154019195200*Sqrt[3]*lu1^9*f42[t]*f44n[t]^2 + 801779378567101166400*Sqrt[3]*lu1^10*f42[t]*f44n[t]^2 + 2783420060657643724800*Sqrt[3]*lu1^11*f42[t]*f44n[t]^2 + 2287784855689882080000*Sqrt[3]*lu1^12*f42[t]*f44n[t]^2 + 634500441946949760000*Sqrt[3]*lu1^13*f42[t]*f44n[t]^2 + 21854624742*Sqrt[15]*f40[t]*f42[t]*g20[t] - 886556729070*Sqrt[15]*lu1* f40[t]*f42[t]*g20[t] - 30789779083362*Sqrt[15]*lu1^2*f40[t]*f42[t]* g20[t] + 1032412710781962*Sqrt[15]*lu1^3*f40[t]*f42[t]*g20[t] + 10160570430973866*Sqrt[15]*lu1^4*f40[t]*f42[t]*g20[t] - 26357984747516034*Sqrt[15]*lu1^5*f40[t]*f42[t]*g20[t] - 2270138891470163430*Sqrt[15]*lu1^6*f40[t]*f42[t]*g20[t] - 28622827833339967074*Sqrt[15]*lu1^7*f40[t]*f42[t]*g20[t] - 128015679262566499656*Sqrt[15]*lu1^8*f40[t]*f42[t]*g20[t] - 213026460122798853528*Sqrt[15]*lu1^9*f40[t]*f42[t]*g20[t] - 8162802661054688256*Sqrt[15]*lu1^10*f40[t]*f42[t]*g20[t] + 265260634068923539680*Sqrt[15]*lu1^11*f40[t]*f42[t]*g20[t] + 151073614709733158400*Sqrt[15]*lu1^12*f40[t]*f42[t]*g20[t] - 11446146744767280000*Sqrt[15]*lu1^13*f40[t]*f42[t]*g20[t] + 44451073890*Sqrt[42]*f42[t]*f44[t]*g20[t] + 713296097190*Sqrt[42]*lu1* f42[t]*f44[t]*g20[t] - 86251675108950*Sqrt[42]*lu1^2*f42[t]*f44[t]* g20[t] - 614907180865650*Sqrt[42]*lu1^3*f42[t]*f44[t]*g20[t] + 33795916942708590*Sqrt[42]*lu1^4*f42[t]*f44[t]*g20[t] + 187558553548676490*Sqrt[42]*lu1^5*f42[t]*f44[t]*g20[t] - 2579421062817921090*Sqrt[42]*lu1^6*f42[t]*f44[t]*g20[t] - 27882903551394168150*Sqrt[42]*lu1^7*f42[t]*f44[t]*g20[t] - 95518094455067830200*Sqrt[42]*lu1^8*f42[t]*f44[t]*g20[t] - 92786443149688803720*Sqrt[42]*lu1^9*f42[t]*f44[t]*g20[t] + 98377928284481819520*Sqrt[42]*lu1^10*f42[t]*f44[t]*g20[t] + 156762849778213337760*Sqrt[42]*lu1^11*f42[t]*f44[t]*g20[t] + 8660476773145843200*Sqrt[42]*lu1^12*f42[t]*f44[t]*g20[t] - 7257369174151824000*Sqrt[42]*lu1^13*f42[t]*f44[t]*g20[t] - 35203864410*Sqrt[14]*f22n[t]*f44n[t]*g20[t] - 497470274730*Sqrt[14]* lu1*f22n[t]*f44n[t]*g20[t] + 61750125161010*Sqrt[14]*lu1^2*f22n[t]* f44n[t]*g20[t] + 572272529593050*Sqrt[14]*lu1^3*f22n[t]*f44n[t]* g20[t] - 24645259161438630*Sqrt[14]*lu1^4*f22n[t]*f44n[t]*g20[t] - 136609619124311190*Sqrt[14]*lu1^5*f22n[t]*f44n[t]*g20[t] + 2000912115379395790*Sqrt[14]*lu1^6*f22n[t]*f44n[t]*g20[t] + 14773751191841769270*Sqrt[14]*lu1^7*f22n[t]*f44n[t]*g20[t] + 38126414789698778400*Sqrt[14]*lu1^8*f22n[t]*f44n[t]*g20[t] + 4511315833827213840*Sqrt[14]*lu1^9*f22n[t]*f44n[t]*g20[t] - 117425608660971193440*Sqrt[14]*lu1^10*f22n[t]*f44n[t]*g20[t] - 154712571634303082400*Sqrt[14]*lu1^11*f22n[t]*f44n[t]*g20[t] - 43101716806115968000*Sqrt[14]*lu1^12*f22n[t]*f44n[t]*g20[t] + 18648775192407360000*Sqrt[14]*lu1^13*f22n[t]*f44n[t]*g20[t] + 44451073890*Sqrt[42]*f42n[t]*f44n[t]*g20[t] + 713296097190*Sqrt[42]* lu1*f42n[t]*f44n[t]*g20[t] - 86251675108950*Sqrt[42]*lu1^2*f42n[t]* f44n[t]*g20[t] - 614907180865650*Sqrt[42]*lu1^3*f42n[t]*f44n[t]* g20[t] + 33795916942708590*Sqrt[42]*lu1^4*f42n[t]*f44n[t]*g20[t] + 187558553548676490*Sqrt[42]*lu1^5*f42n[t]*f44n[t]*g20[t] - 2579421062817921090*Sqrt[42]*lu1^6*f42n[t]*f44n[t]*g20[t] - 27882903551394168150*Sqrt[42]*lu1^7*f42n[t]*f44n[t]*g20[t] - 95518094455067830200*Sqrt[42]*lu1^8*f42n[t]*f44n[t]*g20[t] - 92786443149688803720*Sqrt[42]*lu1^9*f42n[t]*f44n[t]*g20[t] + 98377928284481819520*Sqrt[42]*lu1^10*f42n[t]*f44n[t]*g20[t] + 156762849778213337760*Sqrt[42]*lu1^11*f42n[t]*f44n[t]*g20[t] + 8660476773145843200*Sqrt[42]*lu1^12*f42n[t]*f44n[t]*g20[t] - 7257369174151824000*Sqrt[42]*lu1^13*f42n[t]*f44n[t]*g20[t] + 1527392295*Sqrt[3]*f42[t]*g20[t]^2 - 61908818400*Sqrt[3]*lu1*f42[t]* g20[t]^2 - 947732855355*Sqrt[3]*lu1^2*f42[t]*g20[t]^2 + 46488675094290*Sqrt[3]*lu1^3*f42[t]*g20[t]^2 + 145151266227825*Sqrt[3]*lu1^4*f42[t]*g20[t]^2 - 6697474650858420*Sqrt[3]*lu1^5*f42[t]*g20[t]^2 - 37696843917171725*Sqrt[3]*lu1^6*f42[t]*g20[t]^2 + 83216978288391090*Sqrt[3]*lu1^7*f42[t]*g20[t]^2 + 1680983070556526880*Sqrt[3]*lu1^8*f42[t]*g20[t]^2 + 3724157861843562000*Sqrt[3]*lu1^9*f42[t]*g20[t]^2 - 4953807166128883920*Sqrt[3]*lu1^10*f42[t]*g20[t]^2 - 19709268797313295200*Sqrt[3]*lu1^11*f42[t]*g20[t]^2 - 10608352073979088000*Sqrt[3]*lu1^12*f42[t]*g20[t]^2 + 3783355238382720000*Sqrt[3]*lu1^13*f42[t]*g20[t]^2 + 37415846754*f22n[t]^2*g22[t] - 620931965940*lu1*f22n[t]^2*g22[t] - 42173136182034*lu1^2*f22n[t]^2*g22[t] + 435328501906584*lu1^3* f22n[t]^2*g22[t] + 13195382425916262*lu1^4*f22n[t]^2*g22[t] - 85199909531318868*lu1^5*f22n[t]^2*g22[t] - 1367280177389018750*lu1^6* f22n[t]^2*g22[t] + 4091710108611929232*lu1^7*f22n[t]^2*g22[t] + 37382038687152138408*lu1^8*f22n[t]^2*g22[t] - 11776768985017704096* lu1^9*f22n[t]^2*g22[t] - 261534021317254706592*lu1^10*f22n[t]^2* g22[t] - 305537827392780702720*lu1^11*f22n[t]^2*g22[t] - 29865432194981468800*lu1^12*f22n[t]^2*g22[t] + 45958422256498752000* lu1^13*f22n[t]^2*g22[t] + 126010804383*f40[t]^2*g22[t] + 4294629128970*lu1*f40[t]^2*g22[t] - 246634203181743*lu1^2*f40[t]^2* g22[t] - 3856802089043832*lu1^3*f40[t]^2*g22[t] + 73122133191045249*lu1^4*f40[t]^2*g22[t] + 757624092897256914*lu1^5* f40[t]^2*g22[t] - 1943814349534541025*lu1^6*f40[t]^2*g22[t] - 20582006066548269636*lu1^7*f40[t]^2*g22[t] - 75299209521550403184* lu1^8*f40[t]^2*g22[t] - 184035185387292328992*lu1^9*f40[t]^2* g22[t] - 168453705733877088384*lu1^10*f40[t]^2*g22[t] + 119443418999327283360*lu1^11*f40[t]^2*g22[t] + 194145541890557870400* lu1^12*f40[t]^2*g22[t] + 5903972774101584000*lu1^13*f40[t]^2* g22[t] + 490853402874*f42[t]^2*g22[t] + 12112423585920*lu1*f42[t]^2* g22[t] - 953787145456314*lu1^2*f42[t]^2*g22[t] - 10683763699936836*lu1^3*f42[t]^2*g22[t] + 326212972939054062*lu1^4* f42[t]^2*g22[t] + 2493341095738186392*lu1^5*f42[t]^2*g22[t] - 17997124001730708630*lu1^6*f42[t]^2*g22[t] - 194704962736250913828* lu1^7*f42[t]^2*g22[t] - 684072334747848539832*lu1^8*f42[t]^2* g22[t] - 908455812341150590896*lu1^9*f42[t]^2*g22[t] + 177536011360511703648*lu1^10*f42[t]^2*g22[t] + 1128206957851505474880* lu1^11*f42[t]^2*g22[t] + 471526990517564707200*lu1^12*f42[t]^2* g22[t] - 29154779302285728000*lu1^13*f42[t]^2*g22[t] - 8970801840*Sqrt[3]*f22n[t]*f42n[t]*g22[t] - 713586931200*Sqrt[3]*lu1* f22n[t]*f42n[t]*g22[t] + 23595903508320*Sqrt[3]*lu1^2*f22n[t]* f42n[t]*g22[t] + 694338659894880*Sqrt[3]*lu1^3*f22n[t]*f42n[t]* g22[t] - 9226025486689440*Sqrt[3]*lu1^4*f22n[t]*f42n[t]*g22[t] - 120716013284380800*Sqrt[3]*lu1^5*f22n[t]*f42n[t]*g22[t] + 576462948554636000*Sqrt[3]*lu1^6*f22n[t]*f42n[t]*g22[t] + 869282756842911840*Sqrt[3]*lu1^7*f22n[t]*f42n[t]*g22[t] + 4242751256174505360*Sqrt[3]*lu1^8*f22n[t]*f42n[t]*g22[t] + 26527763258974211520*Sqrt[3]*lu1^9*f22n[t]*f42n[t]*g22[t] + 17814500579694149760*Sqrt[3]*lu1^10*f22n[t]*f42n[t]*g22[t] - 57983811282147379200*Sqrt[3]*lu1^11*f22n[t]*f42n[t]*g22[t] - 74392547842637024000*Sqrt[3]*lu1^12*f22n[t]*f42n[t]*g22[t] - 19337111550556800000*Sqrt[3]*lu1^13*f22n[t]*f42n[t]*g22[t] + 72733664394*f42n[t]^2*g22[t] + 763254758520*lu1*f42n[t]^2*g22[t] - 98917472043234*lu1^2*f42n[t]^2*g22[t] + 105489750234084*lu1^3* f42n[t]^2*g22[t] - 15888953550265578*lu1^4*f42n[t]^2*g22[t] + 284464925512390752*lu1^5*f42n[t]^2*g22[t] + 2508342111957790770*lu1^6* f42n[t]^2*g22[t] + 11642097841908601332*lu1^7*f42n[t]^2*g22[t] - 89552569362959823792*lu1^8*f42n[t]^2*g22[t] - 663457552367647249776* lu1^9*f42n[t]^2*g22[t] - 959826191818863846912*lu1^10*f42n[t]^2* g22[t] + 359352275605068698880*lu1^11*f42n[t]^2*g22[t] + 940622681981173315200*lu1^12*f42n[t]^2*g22[t] + 9567573614044992000*lu1^13*f42n[t]^2*g22[t] + 27874649232*Sqrt[70]* f40[t]*f44[t]*g22[t] + 756611255160*Sqrt[70]*lu1*f40[t]*f44[t]* g22[t] - 56991311560872*Sqrt[70]*lu1^2*f40[t]*f44[t]*g22[t] - 719283563344728*Sqrt[70]*lu1^3*f40[t]*f44[t]*g22[t] + 22806795099287976*Sqrt[70]*lu1^4*f40[t]*f44[t]*g22[t] + 147258411348386376*Sqrt[70]*lu1^5*f40[t]*f44[t]*g22[t] - 1367031074245899960*Sqrt[70]*lu1^6*f40[t]*f44[t]*g22[t] - 13756470705210634344*Sqrt[70]*lu1^7*f40[t]*f44[t]*g22[t] - 39634651025659247736*Sqrt[70]*lu1^8*f40[t]*f44[t]*g22[t] - 16333217331566889408*Sqrt[70]*lu1^9*f40[t]*f44[t]*g22[t] + 75824146878625036704*Sqrt[70]*lu1^10*f40[t]*f44[t]*g22[t] + 51256978816429118400*Sqrt[70]*lu1^11*f40[t]*f44[t]*g22[t] - 31273046097573907200*Sqrt[70]*lu1^12*f40[t]*f44[t]*g22[t] - 2581490194422048000*Sqrt[70]*lu1^13*f40[t]*f44[t]*g22[t] + 594106502094*f44[t]^2*g22[t] + 6036471956340*lu1*f44[t]^2*g22[t] - 1081534508395614*lu1^2*f44[t]^2*g22[t] - 3770003871900336*lu1^3* f44[t]^2*g22[t] + 364369600425609282*lu1^4*f44[t]^2*g22[t] + 2187934775904703812*lu1^5*f44[t]^2*g22[t] - 30250926276305789250* lu1^6*f44[t]^2*g22[t] - 352685459031080081928*lu1^7*f44[t]^2* g22[t] - 1412531759297588290032*lu1^8*f44[t]^2*g22[t] - 2170281355746376822656*lu1^9*f44[t]^2*g22[t] + 52735048515558537408* lu1^10*f44[t]^2*g22[t] + 2668513783448617594560*lu1^11*f44[t]^2* g22[t] + 1409241724873537564800*lu1^12*f44[t]^2*g22[t] - 95250169576467360000*lu1^13*f44[t]^2*g22[t] + 594106502094*f44n[t]^2* g22[t] + 6036471956340*lu1*f44n[t]^2*g22[t] - 1081534508395614*lu1^2* f44n[t]^2*g22[t] - 3770003871900336*lu1^3*f44n[t]^2*g22[t] + 364369600425609282*lu1^4*f44n[t]^2*g22[t] + 2187934775904703812*lu1^5* f44n[t]^2*g22[t] - 30250926276305789250*lu1^6*f44n[t]^2*g22[t] - 352685459031080081928*lu1^7*f44n[t]^2*g22[t] - 1412531759297588290032* lu1^8*f44n[t]^2*g22[t] - 2170281355746376822656*lu1^9*f44n[t]^2* g22[t] + 52735048515558537408*lu1^10*f44n[t]^2*g22[t] + 2668513783448617594560*lu1^11*f44n[t]^2*g22[t] + 1409241724873537564800*lu1^12*f44n[t]^2*g22[t] - 95250169576467360000*lu1^13*f44n[t]^2*g22[t] + 2366024661*Sqrt[5]*f40[t]*g20[t]*g22[t] + 7440803370*Sqrt[5]*lu1* f40[t]*g20[t]*g22[t] - 3627522399501*Sqrt[5]*lu1^2*f40[t]*g20[t]* g22[t] - 14257866066444*Sqrt[5]*lu1^3*f40[t]*g20[t]*g22[t] + 1390572285465363*Sqrt[5]*lu1^4*f40[t]*g20[t]*g22[t] + 3087224573691258*Sqrt[5]*lu1^5*f40[t]*g20[t]*g22[t] - 140965797089232115*Sqrt[5]*lu1^6*f40[t]*g20[t]*g22[t] - 356844346321014552*Sqrt[5]*lu1^7*f40[t]*g20[t]*g22[t] + 2926630898046127272*Sqrt[5]*lu1^8*f40[t]*g20[t]*g22[t] + 13146252708542649696*Sqrt[5]*lu1^9*f40[t]*g20[t]*g22[t] + 12777061319916605712*Sqrt[5]*lu1^10*f40[t]*g20[t]*g22[t] - 11386947174154231680*Sqrt[5]*lu1^11*f40[t]*g20[t]*g22[t] - 20323323960222483200*Sqrt[5]*lu1^12*f40[t]*g20[t]*g22[t] - 4847003813363712000*Sqrt[5]*lu1^13*f40[t]*g20[t]*g22[t] + 1906851375*Sqrt[14]*f44[t]*g20[t]*g22[t] + 94946430150*Sqrt[14]*lu1* f44[t]*g20[t]*g22[t] - 4782226858695*Sqrt[14]*lu1^2*f44[t]*g20[t]* g22[t] - 85748010236460*Sqrt[14]*lu1^3*f44[t]*g20[t]*g22[t] + 2124085454138505*Sqrt[14]*lu1^4*f44[t]*g20[t]*g22[t] + 14075340490629990*Sqrt[14]*lu1^5*f44[t]*g20[t]*g22[t] - 184680536592491225*Sqrt[14]*lu1^6*f44[t]*g20[t]*g22[t] - 705696548252879040*Sqrt[14]*lu1^7*f44[t]*g20[t]*g22[t] + 2636407402668176280*Sqrt[14]*lu1^8*f44[t]*g20[t]*g22[t] + 16944877365113000160*Sqrt[14]*lu1^9*f44[t]*g20[t]*g22[t] + 27900178421366188080*Sqrt[14]*lu1^10*f44[t]*g20[t]*g22[t] + 7300779772827340800*Sqrt[14]*lu1^11*f44[t]*g20[t]*g22[t] - 19727737168398688000*Sqrt[14]*lu1^12*f44[t]*g20[t]*g22[t] - 13122813340116480000*Sqrt[14]*lu1^13*f44[t]*g20[t]*g22[t] + 3560730030*Sqrt[3]*f42[t]*g22[t]^2 + 85322694600*Sqrt[3]*lu1*f42[t]* g22[t]^2 - 7008124381830*Sqrt[3]*lu1^2*f42[t]*g22[t]^2 - 83338230252420*Sqrt[3]*lu1^3*f42[t]*g22[t]^2 + 2928881449669890*Sqrt[3]*lu1^4*f42[t]*g22[t]^2 + 14302137553601040*Sqrt[3]*lu1^5*f42[t]*g22[t]^2 - 271371944734769450*Sqrt[3]*lu1^6*f42[t]*g22[t]^2 - 885450745478244660*Sqrt[3]*lu1^7*f42[t]*g22[t]^2 + 4635865250595252960*Sqrt[3]*lu1^8*f42[t]*g22[t]^2 + 25075941728046374880*Sqrt[3]*lu1^9*f42[t]*g22[t]^2 + 33897699784402328160*Sqrt[3]*lu1^10*f42[t]*g22[t]^2 - 3405139501105742400*Sqrt[3]*lu1^11*f42[t]*g22[t]^2 - 33375884273850976000*Sqrt[3]*lu1^12*f42[t]*g22[t]^2 - 14974847627900160000*Sqrt[3]*lu1^13*f42[t]*g22[t]^2 - 61436926980*Sqrt[3]*f22n[t]*f42[t]*g22n[t] - 281353618260*Sqrt[3]*lu1* f22n[t]*f42[t]*g22n[t] + 99904346813700*Sqrt[3]*lu1^2*f22n[t]*f42[t]* g22n[t] + 450206399291220*Sqrt[3]*lu1^3*f22n[t]*f42[t]*g22n[t] - 40064492836187820*Sqrt[3]*lu1^4*f22n[t]*f42[t]*g22n[t] - 152503224964241580*Sqrt[3]*lu1^5*f22n[t]*f42[t]*g22n[t] + 3425361282204155580*Sqrt[3]*lu1^6*f22n[t]*f42[t]*g22n[t] + 28678219626840626700*Sqrt[3]*lu1^7*f22n[t]*f42[t]*g22n[t] + 72010078323223051440*Sqrt[3]*lu1^8*f22n[t]*f42[t]*g22n[t] - 17505131591319783840*Sqrt[3]*lu1^9*f22n[t]*f42[t]*g22n[t] - 252665717901636536640*Sqrt[3]*lu1^10*f22n[t]*f42[t]*g22n[t] - 251441331986458785600*Sqrt[3]*lu1^11*f22n[t]*f42[t]*g22n[t] - 11810885769594912000*Sqrt[3]*lu1^12*f22n[t]*f42[t]*g22n[t] + 56634661935371520000*Sqrt[3]*lu1^13*f22n[t]*f42[t]*g22n[t] + 418119738480*f42[t]*f42n[t]*g22n[t] + 11349168827400*lu1*f42[t]* f42n[t]*g22n[t] - 854869673413080*lu1^2*f42[t]*f42n[t]*g22n[t] - 10789253450170920*lu1^3*f42[t]*f42n[t]*g22n[t] + 342101926489319640*lu1^4*f42[t]*f42n[t]*g22n[t] + 2208876170225795640*lu1^5*f42[t]*f42n[t]*g22n[t] - 20505466113688499400*lu1^6*f42[t]*f42n[t]*g22n[t] - 206347060578159515160*lu1^7*f42[t]*f42n[t]*g22n[t] - 594519765384888716040*lu1^8*f42[t]*f42n[t]*g22n[t] - 244998259973503341120*lu1^9*f42[t]*f42n[t]*g22n[t] + 1137362203179375550560*lu1^10*f42[t]*f42n[t]*g22n[t] + 768854682246436776000*lu1^11*f42[t]*f42n[t]*g22n[t] - 469095691463608608000*lu1^12*f42[t]*f42n[t]*g22n[t] - 38722352916330720000*lu1^13*f42[t]*f42n[t]*g22n[t] + 27874649232*Sqrt[70]*f40[t]*f44n[t]*g22n[t] + 756611255160*Sqrt[70]* lu1*f40[t]*f44n[t]*g22n[t] - 56991311560872*Sqrt[70]*lu1^2*f40[t]* f44n[t]*g22n[t] - 719283563344728*Sqrt[70]*lu1^3*f40[t]*f44n[t]* g22n[t] + 22806795099287976*Sqrt[70]*lu1^4*f40[t]*f44n[t]*g22n[t] + 147258411348386376*Sqrt[70]*lu1^5*f40[t]*f44n[t]*g22n[t] - 1367031074245899960*Sqrt[70]*lu1^6*f40[t]*f44n[t]*g22n[t] - 13756470705210634344*Sqrt[70]*lu1^7*f40[t]*f44n[t]*g22n[t] - 39634651025659247736*Sqrt[70]*lu1^8*f40[t]*f44n[t]*g22n[t] - 16333217331566889408*Sqrt[70]*lu1^9*f40[t]*f44n[t]*g22n[t] + 75824146878625036704*Sqrt[70]*lu1^10*f40[t]*f44n[t]*g22n[t] + 51256978816429118400*Sqrt[70]*lu1^11*f40[t]*f44n[t]*g22n[t] - 31273046097573907200*Sqrt[70]*lu1^12*f40[t]*f44n[t]*g22n[t] - 2581490194422048000*Sqrt[70]*lu1^13*f40[t]*f44n[t]*g22n[t] + 1906851375*Sqrt[14]*f44n[t]*g20[t]*g22n[t] + 94946430150*Sqrt[14]*lu1* f44n[t]*g20[t]*g22n[t] - 4782226858695*Sqrt[14]*lu1^2*f44n[t]*g20[t]* g22n[t] - 85748010236460*Sqrt[14]*lu1^3*f44n[t]*g20[t]*g22n[t] + 2124085454138505*Sqrt[14]*lu1^4*f44n[t]*g20[t]*g22n[t] + 14075340490629990*Sqrt[14]*lu1^5*f44n[t]*g20[t]*g22n[t] - 184680536592491225*Sqrt[14]*lu1^6*f44n[t]*g20[t]*g22n[t] - 705696548252879040*Sqrt[14]*lu1^7*f44n[t]*g20[t]*g22n[t] + 2636407402668176280*Sqrt[14]*lu1^8*f44n[t]*g20[t]*g22n[t] + 16944877365113000160*Sqrt[14]*lu1^9*f44n[t]*g20[t]*g22n[t] + 27900178421366188080*Sqrt[14]*lu1^10*f44n[t]*g20[t]*g22n[t] + 7300779772827340800*Sqrt[14]*lu1^11*f44n[t]*g20[t]*g22n[t] - 19727737168398688000*Sqrt[14]*lu1^12*f44n[t]*g20[t]*g22n[t] - 13122813340116480000*Sqrt[14]*lu1^13*f44n[t]*g20[t]*g22n[t] - 3543355530*f22n[t]*g22[t]*g22n[t] + 74957067900*lu1*f22n[t]*g22[t]* g22n[t] + 3704753399490*lu1^2*f22n[t]*g22[t]*g22n[t] - 53443425321000*lu1^3*f22n[t]*g22[t]*g22n[t] - 1157640659977230*lu1^4* f22n[t]*g22[t]*g22n[t] + 8865029795647740*lu1^5*f22n[t]*g22[t]* g22n[t] + 150385075948714750*lu1^6*f22n[t]*g22[t]*g22n[t] - 234325314985510320*lu1^7*f22n[t]*g22[t]*g22n[t] - 5827876997693579400*lu1^8*f22n[t]*g22[t]*g22n[t] - 5393220106728785760*lu1^9*f22n[t]*g22[t]*g22n[t] + 53942509162944573600*lu1^10*f22n[t]*g22[t]*g22n[t] + 149920554155903731200*lu1^11*f22n[t]*g22[t]*g22n[t] + 139592913388694480000*lu1^12*f22n[t]*g22[t]*g22n[t] + 42289068824882880000*lu1^13*f22n[t]*g22[t]*g22n[t] + 3307757310*Sqrt[3]*f42n[t]*g22[t]*g22n[t] - 19247471100*Sqrt[3]*lu1* f42n[t]*g22[t]*g22n[t] - 4451795046270*Sqrt[3]*lu1^2*f42n[t]*g22[t]* g22n[t] + 4819559968080*Sqrt[3]*lu1^3*f42n[t]*g22[t]*g22n[t] + 1609591991062770*Sqrt[3]*lu1^4*f42n[t]*g22[t]*g22n[t] + 453594125942100*Sqrt[3]*lu1^5*f42n[t]*g22[t]*g22n[t] - 173382816284556450*Sqrt[3]*lu1^6*f42n[t]*g22[t]*g22n[t] - 359508394450731240*Sqrt[3]*lu1^7*f42n[t]*g22[t]*g22n[t] + 3998915695854153360*Sqrt[3]*lu1^8*f42n[t]*g22[t]*g22n[t] + 16262128725866749440*Sqrt[3]*lu1^9*f42n[t]*g22[t]*g22n[t] + 11995042726072280160*Sqrt[3]*lu1^10*f42n[t]*g22[t]*g22n[t] - 21411838547866166400*Sqrt[3]*lu1^11*f42n[t]*g22[t]*g22n[t] - 27296294210904576000*Sqrt[3]*lu1^12*f42n[t]*g22[t]*g22n[t] - 3704068575567360000*Sqrt[3]*lu1^13*f42n[t]*g22[t]*g22n[t] + 252972720*Sqrt[3]*f42[t]*g22n[t]^2 + 104570165700*Sqrt[3]*lu1*f42[t]* g22n[t]^2 - 2556329335560*Sqrt[3]*lu1^2*f42[t]*g22n[t]^2 - 88157790220500*Sqrt[3]*lu1^3*f42[t]*g22n[t]^2 + 1319289458607120*Sqrt[3]*lu1^4*f42[t]*g22n[t]^2 + 13848543427658940*Sqrt[3]*lu1^5*f42[t]*g22n[t]^2 - 97989128450213000*Sqrt[3]*lu1^6*f42[t]*g22n[t]^2 - 525942351027513420*Sqrt[3]*lu1^7*f42[t]*g22n[t]^2 + 636949554741099600*Sqrt[3]*lu1^8*f42[t]*g22n[t]^2 + 8813813002179625440*Sqrt[3]*lu1^9*f42[t]*g22n[t]^2 + 21902657058330048000*Sqrt[3]*lu1^10*f42[t]*g22n[t]^2 + 18006699046760424000*Sqrt[3]*lu1^11*f42[t]*g22n[t]^2 - 6079590062946400000*Sqrt[3]*lu1^12*f42[t]*g22n[t]^2 - 11270779052332800000*Sqrt[3]*lu1^13*f42[t]*g22n[t]^2 + 34254747720*Sqrt[3]*f40[t]*f42[t]*g40[t] + 599308003440*Sqrt[3]*lu1* f40[t]*f42[t]*g40[t] - 69084371664540*Sqrt[3]*lu1^2*f40[t]*f42[t]* g40[t] - 32898523493160*Sqrt[3]*lu1^3*f40[t]*f42[t]*g40[t] + 27210368640474540*Sqrt[3]*lu1^4*f40[t]*f42[t]*g40[t] + 344378895970040640*Sqrt[3]*lu1^5*f40[t]*f42[t]*g40[t] + 101039539214615580*Sqrt[3]*lu1^6*f40[t]*f42[t]*g40[t] - 11543182567877510280*Sqrt[3]*lu1^7*f40[t]*f42[t]*g40[t] - 48280327269748468020*Sqrt[3]*lu1^8*f40[t]*f42[t]*g40[t] - 65986210307667193920*Sqrt[3]*lu1^9*f40[t]*f42[t]*g40[t] + 17773988381123443200*Sqrt[3]*lu1^10*f40[t]*f42[t]*g40[t] + 118703534661008913600*Sqrt[3]*lu1^11*f40[t]*f42[t]*g40[t] + 65014416191350440000*Sqrt[3]*lu1^12*f40[t]*f42[t]*g40[t] - 14427021038199840000*Sqrt[3]*lu1^13*f40[t]*f42[t]*g40[t] - 41082295392*Sqrt[210]*f42[t]*f44[t]*g40[t] - 1367937753696*Sqrt[210]* lu1*f42[t]*f44[t]*g40[t] + 69124575302820*Sqrt[210]*lu1^2*f42[t]* f44[t]*g40[t] + 874733723185320*Sqrt[210]*lu1^3*f42[t]*f44[t]* g40[t] - 13105854664249668*Sqrt[210]*lu1^4*f42[t]*f44[t]*g40[t] - 195792379254479088*Sqrt[210]*lu1^5*f42[t]*f44[t]*g40[t] - 284591511481397412*Sqrt[210]*lu1^6*f42[t]*f44[t]*g40[t] + 6315506975076039720*Sqrt[210]*lu1^7*f42[t]*f44[t]*g40[t] + 26290009927861124580*Sqrt[210]*lu1^8*f42[t]*f44[t]*g40[t] + 26099698359754517184*Sqrt[210]*lu1^9*f42[t]*f44[t]*g40[t] - 25921892131977986688*Sqrt[210]*lu1^10*f42[t]*f44[t]*g40[t] - 56181087951295688640*Sqrt[210]*lu1^11*f42[t]*f44[t]*g40[t] - 18340472521353940800*Sqrt[210]*lu1^12*f42[t]*f44[t]*g40[t] + 6397011593253792000*Sqrt[210]*lu1^13*f42[t]*f44[t]*g40[t] + 15816118644*Sqrt[70]*f22n[t]*f44n[t]*g40[t] + 537128066700*Sqrt[70]* lu1*f22n[t]*f44n[t]*g40[t] - 24975945563544*Sqrt[70]*lu1^2*f22n[t]* f44n[t]*g40[t] - 488551895102196*Sqrt[70]*lu1^3*f22n[t]*f44n[t]* g40[t] + 4849704993410832*Sqrt[70]*lu1^4*f22n[t]*f44n[t]*g40[t] + 20755274642580372*Sqrt[70]*lu1^5*f22n[t]*f44n[t]*g40[t] - 93927359975090520*Sqrt[70]*lu1^6*f22n[t]*f44n[t]*g40[t] - 481907827191184188*Sqrt[70]*lu1^7*f22n[t]*f44n[t]*g40[t] - 367906773007931652*Sqrt[70]*lu1^8*f22n[t]*f44n[t]*g40[t] + 1514960576169573744*Sqrt[70]*lu1^9*f22n[t]*f44n[t]*g40[t] + 6361630853193900528*Sqrt[70]*lu1^10*f22n[t]*f44n[t]*g40[t] + 10567178943534677280*Sqrt[70]*lu1^11*f22n[t]*f44n[t]*g40[t] + 4196229440655907200*Sqrt[70]*lu1^12*f22n[t]*f44n[t]*g40[t] - 2559442617539472000*Sqrt[70]*lu1^13*f22n[t]*f44n[t]*g40[t] - 41082295392*Sqrt[210]*f42n[t]*f44n[t]*g40[t] - 1367937753696*Sqrt[210]*lu1*f42n[t]*f44n[t]*g40[t] + 69124575302820*Sqrt[210]*lu1^2*f42n[t]*f44n[t]*g40[t] + 874733723185320*Sqrt[210]*lu1^3*f42n[t]*f44n[t]*g40[t] - 13105854664249668*Sqrt[210]*lu1^4*f42n[t]*f44n[t]*g40[t] - 195792379254479088*Sqrt[210]*lu1^5*f42n[t]*f44n[t]*g40[t] - 284591511481397412*Sqrt[210]*lu1^6*f42n[t]*f44n[t]*g40[t] + 6315506975076039720*Sqrt[210]*lu1^7*f42n[t]*f44n[t]*g40[t] + 26290009927861124580*Sqrt[210]*lu1^8*f42n[t]*f44n[t]*g40[t] + 26099698359754517184*Sqrt[210]*lu1^9*f42n[t]*f44n[t]*g40[t] - 25921892131977986688*Sqrt[210]*lu1^10*f42n[t]*f44n[t]*g40[t] - 56181087951295688640*Sqrt[210]*lu1^11*f42n[t]*f44n[t]*g40[t] - 18340472521353940800*Sqrt[210]*lu1^12*f42n[t]*f44n[t]*g40[t] + 6397011593253792000*Sqrt[210]*lu1^13*f42n[t]*f44n[t]*g40[t] + 1302178437*Sqrt[15]*f42[t]*g20[t]*g40[t] - 19929490290*Sqrt[15]*lu1* f42[t]*g20[t]*g40[t] - 427102367157*Sqrt[15]*lu1^2*f42[t]*g20[t]* g40[t] - 15198465228408*Sqrt[15]*lu1^3*f42[t]*g20[t]*g40[t] + 89954131412451*Sqrt[15]*lu1^4*f42[t]*g20[t]*g40[t] - 745165279950594*Sqrt[15]*lu1^5*f42[t]*g20[t]*g40[t] + 252677069111205*Sqrt[15]*lu1^6*f42[t]*g20[t]*g40[t] + 43716422396545236*Sqrt[15]*lu1^7*f42[t]*g20[t]*g40[t] - 15580555053517896*Sqrt[15]*lu1^8*f42[t]*g20[t]*g40[t] - 372043989376796808*Sqrt[15]*lu1^9*f42[t]*g20[t]*g40[t] + 343897983939388944*Sqrt[15]*lu1^10*f42[t]*g20[t]*g40[t] + 2397298302562855680*Sqrt[15]*lu1^11*f42[t]*g20[t]*g40[t] + 1795717750237286400*Sqrt[15]*lu1^12*f42[t]*g20[t]*g40[t] - 306356490143760000*Sqrt[15]*lu1^13*f42[t]*g20[t]*g40[t] + 901739952*f40[t]*g22[t]*g40[t] - 145661988960*lu1*f40[t]*g22[t]* g40[t] + 3092842587528*lu1^2*f40[t]*g22[t]*g40[t] + 33395763112272*lu1^3*f40[t]*g22[t]*g40[t] - 679659186423024*lu1^4* f40[t]*g22[t]*g40[t] + 5839203278715336*lu1^5*f40[t]*g22[t]*g40[t] + 41435416415310120*lu1^6*f40[t]*g22[t]*g40[t] - 486161698820557344*lu1^7*f40[t]*g22[t]*g40[t] - 1653570687002637936*lu1^8*f40[t]*g22[t]*g40[t] + 7088931976128042792*lu1^9*f40[t]*g22[t]*g40[t] + 35611936924848994944*lu1^10*f40[t]*g22[t]*g40[t] + 46525440230873874240*lu1^11*f40[t]*g22[t]*g40[t] + 13417460722032441600*lu1^12*f40[t]*g22[t]*g40[t] - 6160516301143344000*lu1^13*f40[t]*g22[t]*g40[t] - 693186903*Sqrt[70]*f44[t]*g22[t]*g40[t] - 59542159590*Sqrt[70]*lu1* f44[t]*g22[t]*g40[t] + 1711753323723*Sqrt[70]*lu1^2*f44[t]*g22[t]* g40[t] + 49523539410972*Sqrt[70]*lu1^3*f44[t]*g22[t]*g40[t] - 453985836503709*Sqrt[70]*lu1^4*f44[t]*g22[t]*g40[t] - 3277916376599694*Sqrt[70]*lu1^5*f44[t]*g22[t]*g40[t] + 12990185942899125*Sqrt[70]*lu1^6*f44[t]*g22[t]*g40[t] + 83074710673346496*Sqrt[70]*lu1^7*f44[t]*g22[t]*g40[t] + 64284358410404964*Sqrt[70]*lu1^8*f44[t]*g22[t]*g40[t] - 525981171490611528*Sqrt[70]*lu1^9*f44[t]*g22[t]*g40[t] - 1897832264374100496*Sqrt[70]*lu1^10*f44[t]*g22[t]*g40[t] - 1940150842591375680*Sqrt[70]*lu1^11*f44[t]*g22[t]*g40[t] + 848006502929803200*Sqrt[70]*lu1^12*f44[t]*g22[t]*g40[t] + 1652456408480304000*Sqrt[70]*lu1^13*f44[t]*g22[t]*g40[t] - 693186903*Sqrt[70]*f44n[t]*g22n[t]*g40[t] - 59542159590*Sqrt[70]*lu1* f44n[t]*g22n[t]*g40[t] + 1711753323723*Sqrt[70]*lu1^2*f44n[t]* g22n[t]*g40[t] + 49523539410972*Sqrt[70]*lu1^3*f44n[t]*g22n[t]* g40[t] - 453985836503709*Sqrt[70]*lu1^4*f44n[t]*g22n[t]*g40[t] - 3277916376599694*Sqrt[70]*lu1^5*f44n[t]*g22n[t]*g40[t] + 12990185942899125*Sqrt[70]*lu1^6*f44n[t]*g22n[t]*g40[t] + 83074710673346496*Sqrt[70]*lu1^7*f44n[t]*g22n[t]*g40[t] + 64284358410404964*Sqrt[70]*lu1^8*f44n[t]*g22n[t]*g40[t] - 525981171490611528*Sqrt[70]*lu1^9*f44n[t]*g22n[t]*g40[t] - 1897832264374100496*Sqrt[70]*lu1^10*f44n[t]*g22n[t]*g40[t] - 1940150842591375680*Sqrt[70]*lu1^11*f44n[t]*g22n[t]*g40[t] + 848006502929803200*Sqrt[70]*lu1^12*f44n[t]*g22n[t]*g40[t] + 1652456408480304000*Sqrt[70]*lu1^13*f44n[t]*g22n[t]*g40[t] - 199071675*Sqrt[3]*f42[t]*g40[t]^2 - 55152383220*Sqrt[3]*lu1*f42[t]* g40[t]^2 + 1121514517035*Sqrt[3]*lu1^2*f42[t]*g40[t]^2 + 45602754358590*Sqrt[3]*lu1^3*f42[t]*g40[t]^2 - 399392024875965*Sqrt[3]*lu1^4*f42[t]*g40[t]^2 - 4368665575813440*Sqrt[3]*lu1^5*f42[t]*g40[t]^2 + 20740406683056885*Sqrt[3]*lu1^6*f42[t]*g40[t]^2 + 174481015888805670*Sqrt[3]*lu1^7*f42[t]*g40[t]^2 - 214421575454052120*Sqrt[3]*lu1^8*f42[t]*g40[t]^2 - 2626142523159426480*Sqrt[3]*lu1^9*f42[t]*g40[t]^2 - 3380469696110461680*Sqrt[3]*lu1^10*f42[t]*g40[t]^2 + 2813976642200037600*Sqrt[3]*lu1^11*f42[t]*g40[t]^2 + 5813555287665312000*Sqrt[3]*lu1^12*f42[t]*g40[t]^2 + 841937017521600000*Sqrt[3]*lu1^13*f42[t]*g40[t]^2 - 11104390440*Sqrt[3]*f22n[t]^2*g42[t] - 298519624260*Sqrt[3]*lu1* f22n[t]^2*g42[t] + 18173938273920*Sqrt[3]*lu1^2*f22n[t]^2*g42[t] + 240608631746340*Sqrt[3]*lu1^3*f22n[t]^2*g42[t] - 4258539419448600*Sqrt[3]*lu1^4*f22n[t]^2*g42[t] + 14124906163445220*Sqrt[3]*lu1^5*f22n[t]^2*g42[t] + 13736317132629520*Sqrt[3]*lu1^6*f22n[t]^2*g42[t] - 668154892298639460*Sqrt[3]*lu1^7*f22n[t]^2*g42[t] + 1849179471143999280*Sqrt[3]*lu1^8*f22n[t]^2*g42[t] + 9962864461734069600*Sqrt[3]*lu1^9*f22n[t]^2*g42[t] + 3869933463986304000*Sqrt[3]*lu1^10*f22n[t]^2*g42[t] - 11158695032253088320*Sqrt[3]*lu1^11*f22n[t]^2*g42[t] - 7360247812136876800*Sqrt[3]*lu1^12*f22n[t]^2*g42[t] - 842553799127040000*Sqrt[3]*lu1^13*f22n[t]^2*g42[t] + 51323616900*Sqrt[3]*f40[t]^2*g42[t] + 2520882379080*Sqrt[3]*lu1* f40[t]^2*g42[t] - 69184880760240*Sqrt[3]*lu1^2*f40[t]^2*g42[t] - 2137486522723560*Sqrt[3]*lu1^3*f40[t]^2*g42[t] - 8050916300087640*Sqrt[3]*lu1^4*f40[t]^2*g42[t] - 27087395818863240*Sqrt[3]*lu1^5*f40[t]^2*g42[t] + 559919469881570160*Sqrt[3]*lu1^6*f40[t]^2*g42[t] + 1526006414126166120*Sqrt[3]*lu1^7*f40[t]^2*g42[t] + 6695466084969890580*Sqrt[3]*lu1^8*f40[t]^2*g42[t] + 33730069562114497920*Sqrt[3]*lu1^9*f40[t]^2*g42[t] + 38143747758259801920*Sqrt[3]*lu1^10*f40[t]^2*g42[t] - 37602582113274148800*Sqrt[3]*lu1^11*f40[t]^2*g42[t] - 51670442983640808000*Sqrt[3]*lu1^12*f40[t]^2*g42[t] + 5648002574165280000*Sqrt[3]*lu1^13*f40[t]^2*g42[t] + 171156729240*Sqrt[3]*f42[t]^2*g42[t] + 6240380765040*Sqrt[3]*lu1* f42[t]^2*g42[t] - 276538504849560*Sqrt[3]*lu1^2*f42[t]^2*g42[t] - 4340770092433440*Sqrt[3]*lu1^3*f42[t]^2*g42[t] + 38318904680773800*Sqrt[3]*lu1^4*f42[t]^2*g42[t] + 634583000302354800*Sqrt[3]*lu1^5*f42[t]^2*g42[t] + 1321918018192371480*Sqrt[3]*lu1^6*f42[t]^2*g42[t] - 20034352307502688320*Sqrt[3]*lu1^7*f42[t]^2*g42[t] - 83169722369557154880*Sqrt[3]*lu1^8*f42[t]^2*g42[t] - 64512281491105392000*Sqrt[3]*lu1^9*f42[t]^2*g42[t] + 111835472278766490240*Sqrt[3]*lu1^10*f42[t]^2*g42[t] + 162201905095469529600*Sqrt[3]*lu1^11*f42[t]^2*g42[t] + 26687946415419264000*Sqrt[3]*lu1^12*f42[t]^2*g42[t] - 17558036928069120000*Sqrt[3]*lu1^13*f42[t]^2*g42[t] + 310134314700*f22n[t]*f42n[t]*g42[t] + 5080908349980*lu1*f22n[t]* f42n[t]*g42[t] - 448068680701020*lu1^2*f22n[t]*f42n[t]*g42[t] - 4552288683325740*lu1^3*f22n[t]*f42n[t]*g42[t] + 113518702325137140*lu1^4*f22n[t]*f42n[t]*g42[t] + 67006665518745780*lu1^5*f22n[t]*f42n[t]*g42[t] - 5896414133911717380*lu1^6*f22n[t]*f42n[t]*g42[t] + 8711564375688560460*lu1^7*f22n[t]*f42n[t]*g42[t] + 79117443055979104320*lu1^8*f22n[t]*f42n[t]*g42[t] - 70055579668671972720*lu1^9*f22n[t]*f42n[t]*g42[t] - 504020723201092110240*lu1^10*f22n[t]*f42n[t]*g42[t] - 375351003448515866880*lu1^11*f22n[t]*f42n[t]*g42[t] + 122759979417551548800*lu1^12*f22n[t]*f42n[t]*g42[t] + 99818007716770560000*lu1^13*f22n[t]*f42n[t]*g42[t] - 39390557580*Sqrt[3]*f42n[t]^2*g42[t] - 1245569210460*Sqrt[3]*lu1* f42n[t]^2*g42[t] + 79977496139820*Sqrt[3]*lu1^2*f42n[t]^2*g42[t] + 3797010924193260*Sqrt[3]*lu1^3*f42n[t]^2*g42[t] + 7517395239779820*Sqrt[3]*lu1^4*f42n[t]^2*g42[t] - 413213963521207140*Sqrt[3]*lu1^5*f42n[t]^2*g42[t] - 1656478117480629900*Sqrt[3]*lu1^6*f42n[t]^2*g42[t] + 20359583425386329940*Sqrt[3]*lu1^7*f42n[t]^2*g42[t] + 29127834080167979520*Sqrt[3]*lu1^8*f42n[t]^2*g42[t] - 207440568109732800960*Sqrt[3]*lu1^9*f42n[t]^2*g42[t] - 393595952751463589760*Sqrt[3]*lu1^10*f42n[t]^2*g42[t] + 90546890821690818240*Sqrt[3]*lu1^11*f42n[t]^2*g42[t] + 346216443181611398400*Sqrt[3]*lu1^12*f42n[t]^2*g42[t] + 23487058037560320000*Sqrt[3]*lu1^13*f42n[t]^2*g42[t] - 52304773140*Sqrt[210]*f40[t]*f44[t]*g42[t] - 1770366633228*Sqrt[210]* lu1*f40[t]*f44[t]*g42[t] + 88766355719124*Sqrt[210]*lu1^2*f40[t]* f44[t]*g42[t] + 1488815862792876*Sqrt[210]*lu1^3*f40[t]*f44[t]* g42[t] - 13368976098075756*Sqrt[210]*lu1^4*f40[t]*f44[t]*g42[t] - 262255866415383636*Sqrt[210]*lu1^5*f40[t]*f44[t]*g42[t] - 525151224471914676*Sqrt[210]*lu1^6*f40[t]*f44[t]*g42[t] + 9211583401166251188*Sqrt[210]*lu1^7*f40[t]*f44[t]*g42[t] + 32149971880532363232*Sqrt[210]*lu1^8*f40[t]*f44[t]*g42[t] + 4451598629218507968*Sqrt[210]*lu1^9*f40[t]*f44[t]*g42[t] - 74230263686060819712*Sqrt[210]*lu1^10*f40[t]*f44[t]*g42[t] - 50691439538439600960*Sqrt[210]*lu1^11*f40[t]*f44[t]*g42[t] + 20386655017947590400*Sqrt[210]*lu1^12*f40[t]*f44[t]*g42[t] + 9466441437825792000*Sqrt[210]*lu1^13*f40[t]*f44[t]*g42[t] - 350268831360*Sqrt[3]*f44[t]^2*g42[t] - 13330970309160*Sqrt[3]*lu1* f44[t]^2*g42[t] + 545881932779400*Sqrt[3]*lu1^2*f44[t]^2*g42[t] + 7575190583887080*Sqrt[3]*lu1^3*f44[t]^2*g42[t] - 76282128654675720*Sqrt[3]*lu1^4*f44[t]^2*g42[t] - 975631761044662680*Sqrt[3]*lu1^5*f44[t]^2*g42[t] - 1912796937985369800*Sqrt[3]*lu1^6*f44[t]^2*g42[t] + 25478311388663712600*Sqrt[3]*lu1^7*f44[t]^2*g42[t] + 142457244629022396360*Sqrt[3]*lu1^8*f44[t]^2*g42[t] + 244831562013956319360*Sqrt[3]*lu1^9*f44[t]^2*g42[t] + 13297192104602878080*Sqrt[3]*lu1^10*f44[t]^2*g42[t] - 359700015996550172160*Sqrt[3]*lu1^11*f44[t]^2*g42[t] - 249739892962818921600*Sqrt[3]*lu1^12*f44[t]^2*g42[t] + 15692700114987840000*Sqrt[3]*lu1^13*f44[t]^2*g42[t] - 350268831360*Sqrt[3]*f44n[t]^2*g42[t] - 13330970309160*Sqrt[3]*lu1* f44n[t]^2*g42[t] + 545881932779400*Sqrt[3]*lu1^2*f44n[t]^2*g42[t] + 7575190583887080*Sqrt[3]*lu1^3*f44n[t]^2*g42[t] - 76282128654675720*Sqrt[3]*lu1^4*f44n[t]^2*g42[t] - 975631761044662680*Sqrt[3]*lu1^5*f44n[t]^2*g42[t] - 1912796937985369800*Sqrt[3]*lu1^6*f44n[t]^2*g42[t] + 25478311388663712600*Sqrt[3]*lu1^7*f44n[t]^2*g42[t] + 142457244629022396360*Sqrt[3]*lu1^8*f44n[t]^2*g42[t] + 244831562013956319360*Sqrt[3]*lu1^9*f44n[t]^2*g42[t] + 13297192104602878080*Sqrt[3]*lu1^10*f44n[t]^2*g42[t] - 359700015996550172160*Sqrt[3]*lu1^11*f44n[t]^2*g42[t] - 249739892962818921600*Sqrt[3]*lu1^12*f44n[t]^2*g42[t] + 15692700114987840000*Sqrt[3]*lu1^13*f44n[t]^2*g42[t] + 775146672*Sqrt[15]*f40[t]*g20[t]*g42[t] + 521538750*Sqrt[15]*lu1* f40[t]*g20[t]*g42[t] - 399496064472*Sqrt[15]*lu1^2*f40[t]*g20[t]* g42[t] - 18612699407478*Sqrt[15]*lu1^3*f40[t]*g20[t]*g42[t] + 60245785569756*Sqrt[15]*lu1^4*f40[t]*g20[t]*g42[t] + 827611894126866*Sqrt[15]*lu1^5*f40[t]*g20[t]*g42[t] - 5890048592159760*Sqrt[15]*lu1^6*f40[t]*g20[t]*g42[t] - 227710367431070394*Sqrt[15]*lu1^7*f40[t]*g20[t]*g42[t] + 149901238209991164*Sqrt[15]*lu1^8*f40[t]*g20[t]*g42[t] + 6202408638840793152*Sqrt[15]*lu1^9*f40[t]*g20[t]*g42[t] + 16383090567250883424*Sqrt[15]*lu1^10*f40[t]*g20[t]*g42[t] + 12387460646055692640*Sqrt[15]*lu1^11*f40[t]*g20[t]*g42[t] - 2491406188936238400*Sqrt[15]*lu1^12*f40[t]*g20[t]*g42[t] - 4252869079681824000*Sqrt[15]*lu1^13*f40[t]*g20[t]*g42[t] - 314512470*Sqrt[42]*f44[t]*g20[t]*g42[t] - 92849719230*Sqrt[42]*lu1* f44[t]*g20[t]*g42[t] + 2130768208350*Sqrt[42]*lu1^2*f44[t]*g20[t]* g42[t] + 62103308864850*Sqrt[42]*lu1^3*f44[t]*g20[t]*g42[t] - 565426956253230*Sqrt[42]*lu1^4*f44[t]*g20[t]*g42[t] - 5143202653475610*Sqrt[42]*lu1^5*f44[t]*g20[t]*g42[t] + 19452048833992890*Sqrt[42]*lu1^6*f44[t]*g20[t]*g42[t] + 215814018305848950*Sqrt[42]*lu1^7*f44[t]*g20[t]*g42[t] + 25358361774864300*Sqrt[42]*lu1^8*f44[t]*g20[t]*g42[t] - 3016807101185610960*Sqrt[42]*lu1^9*f44[t]*g20[t]*g42[t] - 7762207885622835840*Sqrt[42]*lu1^10*f44[t]*g20[t]*g42[t] - 5117822470431828000*Sqrt[42]*lu1^11*f44[t]*g20[t]*g42[t] + 3158289233710008000*Sqrt[42]*lu1^12*f44[t]*g20[t]*g42[t] + 3416660577771840000*Sqrt[42]*lu1^13*f44[t]*g20[t]*g42[t] - 3746486520*f42[t]*g22[t]*g42[t] - 1163730115260*lu1*f42[t]*g22[t]* g42[t] + 28497034843920*lu1^2*f42[t]*g22[t]*g42[t] + 692498748706380*lu1^3*f42[t]*g22[t]*g42[t] - 7414720249933560*lu1^4* f42[t]*g22[t]*g42[t] - 34047529486612500*lu1^5*f42[t]*g22[t]* g42[t] + 253458692985110880*lu1^6*f42[t]*g22[t]*g42[t] - 177265338283314060*lu1^7*f42[t]*g22[t]*g42[t] - 2138518989946659840*lu1^8*f42[t]*g22[t]*g42[t] + 18474856850315516880*lu1^9*f42[t]*g22[t]*g42[t] + 78108199250841127680*lu1^10*f42[t]*g22[t]*g42[t] + 95458286562705585600*lu1^11*f42[t]*g22[t]*g42[t] + 37315635607684224000*lu1^12*f42[t]*g22[t]*g42[t] + 1694905976786400000*lu1^13*f42[t]*g22[t]*g42[t] + 1344786300*Sqrt[3]*f22n[t]*g22n[t]*g42[t] + 77699458980*Sqrt[3]*lu1* f22n[t]*g22n[t]*g42[t] - 3034255112460*Sqrt[3]*lu1^2*f22n[t]*g22n[t]* g42[t] - 60124899952260*Sqrt[3]*lu1^3*f22n[t]*g22n[t]*g42[t] + 887000455366740*Sqrt[3]*lu1^4*f22n[t]*g22n[t]*g42[t] + 622666757229660*Sqrt[3]*lu1^5*f22n[t]*g22n[t]*g42[t] - 7524359873198740*Sqrt[3]*lu1^6*f22n[t]*g22n[t]*g42[t] + 101440881202354980*Sqrt[3]*lu1^7*f22n[t]*g22n[t]*g42[t] - 427768315202033520*Sqrt[3]*lu1^8*f22n[t]*g22n[t]*g42[t] - 3397863945478036320*Sqrt[3]*lu1^9*f22n[t]*g22n[t]*g42[t] - 6518072690404841280*Sqrt[3]*lu1^10*f22n[t]*g22n[t]*g42[t] - 6081349152533054400*Sqrt[3]*lu1^11*f22n[t]*g22n[t]*g42[t] - 3112338217171040000*Sqrt[3]*lu1^12*f22n[t]*g22n[t]*g42[t] - 472170721102080000*Sqrt[3]*lu1^13*f22n[t]*g22n[t]*g42[t] - 14339461590*f42n[t]*g22n[t]*g42[t] - 695195752896*lu1*f42n[t]*g22n[t]* g42[t] + 23185460644686*lu1^2*f42n[t]*g22n[t]*g42[t] + 783658106606628*lu1^3*f42n[t]*g22n[t]*g42[t] - 7319552168534898*lu1^4* f42n[t]*g22n[t]*g42[t] - 53664466405336536*lu1^5*f42n[t]*g22n[t]* g42[t] + 277010129948753394*lu1^6*f42n[t]*g22n[t]*g42[t] + 745467263378230692*lu1^7*f42n[t]*g22n[t]*g42[t] - 2183457875859273624*lu1^8*f42n[t]*g22n[t]*g42[t] + 4336734139551762384*lu1^9*f42n[t]*g22n[t]*g42[t] + 54957789159296551008*lu1^10*f42n[t]*g22n[t]*g42[t] + 119934782875897789632*lu1^11*f42n[t]*g22n[t]*g42[t] + 111046975422001161600*lu1^12*f42n[t]*g22n[t]*g42[t] + 39744366796338220800*lu1^13*f42n[t]*g22n[t]*g42[t] + 237825315*Sqrt[3]*f40[t]*g40[t]*g42[t] - 84450499560*Sqrt[3]*lu1* f40[t]*g40[t]*g42[t] + 383456086965*Sqrt[3]*lu1^2*f40[t]*g40[t]* g42[t] - 21810295522890*Sqrt[3]*lu1^3*f40[t]*g40[t]*g42[t] + 375638896576125*Sqrt[3]*lu1^4*f40[t]*g40[t]*g42[t] + 4470576340303500*Sqrt[3]*lu1^5*f40[t]*g40[t]*g42[t] - 33713368780554645*Sqrt[3]*lu1^6*f40[t]*g40[t]*g42[t] - 190940925275149770*Sqrt[3]*lu1^7*f40[t]*g40[t]*g42[t] + 426623440150116720*Sqrt[3]*lu1^8*f40[t]*g40[t]*g42[t] + 3341259756385412400*Sqrt[3]*lu1^9*f40[t]*g40[t]*g42[t] + 4379336381272209840*Sqrt[3]*lu1^10*f40[t]*g40[t]*g42[t] - 1839648874863156000*Sqrt[3]*lu1^11*f40[t]*g40[t]*g42[t] - 5082941448416496000*Sqrt[3]*lu1^12*f40[t]*g40[t]*g42[t] - 604567860744960000*Sqrt[3]*lu1^13*f40[t]*g40[t]*g42[t] - 41082795*Sqrt[210]*f44[t]*g40[t]*g42[t] + 122737502772*Sqrt[210]*lu1* f44[t]*g40[t]*g42[t] - 1344962862261*Sqrt[210]*lu1^2*f44[t]*g40[t]* g42[t] - 29448816398874*Sqrt[210]*lu1^3*f44[t]*g40[t]*g42[t] + 74383545909699*Sqrt[210]*lu1^4*f44[t]*g40[t]*g42[t] + 1905916775093304*Sqrt[210]*lu1^5*f44[t]*g40[t]*g42[t] + 9793104247404309*Sqrt[210]*lu1^6*f44[t]*g40[t]*g42[t] - 98124352122683682*Sqrt[210]*lu1^7*f44[t]*g40[t]*g42[t] - 323143803115492968*Sqrt[210]*lu1^8*f44[t]*g40[t]*g42[t] + 1007016745953662928*Sqrt[210]*lu1^9*f44[t]*g40[t]*g42[t] + 4444934563335711888*Sqrt[210]*lu1^10*f44[t]*g40[t]*g42[t] + 3978463321679806560*Sqrt[210]*lu1^11*f44[t]*g40[t]*g42[t] - 928838269862400000*Sqrt[210]*lu1^12*f44[t]*g40[t]*g42[t] - 1554379359422400000*Sqrt[210]*lu1^13*f44[t]*g40[t]*g42[t] + 77507280*Sqrt[3]*f42[t]*g42[t]^2 - 279205765560*Sqrt[3]*lu1*f42[t]* g42[t]^2 + 3009941208000*Sqrt[3]*lu1^2*f42[t]*g42[t]^2 + 47584917671400*Sqrt[3]*lu1^3*f42[t]*g42[t]^2 - 47506256599680*Sqrt[3]* lu1^4*f42[t]*g42[t]^2 + 203821528980120*Sqrt[3]*lu1^5*f42[t]* g42[t]^2 - 25945924194995520*Sqrt[3]*lu1^6*f42[t]*g42[t]^2 - 32919818772688200*Sqrt[3]*lu1^7*f42[t]*g42[t]^2 + 424403729392129200*Sqrt[3]*lu1^8*f42[t]*g42[t]^2 + 1430234466451971840*Sqrt[3]*lu1^9*f42[t]*g42[t]^2 + 1997733370323496320*Sqrt[3]*lu1^10*f42[t]*g42[t]^2 + 1948655534673763200*Sqrt[3]*lu1^11*f42[t]*g42[t]^2 + 1461227678497632000*Sqrt[3]*lu1^12*f42[t]*g42[t]^2 + 474738313553280000*Sqrt[3]*lu1^13*f42[t]*g42[t]^2 + 143*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f20[t]^2* (297*(-60183 + 4147215*lu1 - 48405314*lu1^2 - 527565578*lu1^3 + 6534364805*lu1^4 + 19128873699*lu1^5 - 17660679660*lu1^6 + 82279079832*lu1^7 - 507191117296*lu1^8 - 192104012560*lu1^9 + 127132936000*lu1^10)*f22[t] - 20*Sqrt[3]*(-2403000 + 94404555*lu1 - 375271833*lu1^2 - 13825434450*lu1^3 + 104853448118*lu1^4 - 119967178545*lu1^5 - 538638148365*lu1^6 + 1673641596744*lu1^7 + 4753316953080*lu1^8 + 4759857047856*lu1^9 + 341428822000*lu1^10)*f42[t] - 14354901*g22[t] - 77871915*lu1*g22[t] + 8593972002*lu1^2*g22[t] + 22262314734*lu1^3*g22[t] - 1004526735465*lu1^4*g22[t] - 4463231328567*lu1^5*g22[t] - 2824379888220*lu1^6*g22[t] - 17152732341756*lu1^7*g22[t] - 20440551448152*lu1^8*g22[t] - 25160618910240*lu1^9*g22[t] - 9839755543200*lu1^10*g22[t] + 901530*Sqrt[3]*g42[t] + 39047670*Sqrt[3]*lu1*g42[t] - 1523678220*Sqrt[3]*lu1^2*g42[t] - 23068571100*Sqrt[3]*lu1^3* g42[t] + 239557488370*Sqrt[3]*lu1^4*g42[t] + 312237880110*Sqrt[3]* lu1^5*g42[t] - 3090471717360*Sqrt[3]*lu1^6*g42[t] - 5188592566440*Sqrt[3]*lu1^7*g42[t] + 4976475646800*Sqrt[3]*lu1^8* g42[t] + 12979049144640*Sqrt[3]*lu1^9*g42[t] + 6107289320000*Sqrt[3]*lu1^10*g42[t]) + 286*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)* f22[t]^2*(100*Sqrt[3]*(190134 - 12275733*lu1 + 180987735*lu1^2 + 672030896*lu1^3 - 12380237280*lu1^4 - 61402405317*lu1^5 - 241243853121*lu1^6 + 408751478370*lu1^7 + 265229250612*lu1^8 + 108377043880*lu1^9)*f42[t] - 99*(11763 + 1902633*lu1 - 40908878*lu1^2 - 285394410*lu1^3 + 5323109655*lu1^4 + 19881043101*lu1^5 - 38844782364*lu1^6 - 72562455756*lu1^7 + 56481817040*lu1^8 + 282145872000*lu1^9)*g22[t] + 50*Sqrt[3]*(63531 + 2243637*lu1 - 43881702*lu1^2 + 5474354*lu1^3 + 1584754479*lu1^4 - 3517891791*lu1^5 - 561655620*lu1^6 + 8777365224*lu1^7 - 3095179968*lu1^8 + 54696286480*lu1^9)* g42[t]) + 164349244620*f22n[t]*f42[t]*g42n[t] + 11032933651020*lu1*f22n[t]*f42[t]*g42n[t] - 301209686205300*lu1^2* f22n[t]*f42[t]*g42n[t] - 10104268169740140*lu1^3*f22n[t]*f42[t]* g42n[t] + 31972447477187820*lu1^4*f22n[t]*f42[t]*g42n[t] + 555651573758665380*lu1^5*f22n[t]*f42[t]*g42n[t] + 3078593334659001780*lu1^6*f22n[t]*f42[t]*g42n[t] - 23168799191424086100*lu1^7*f22n[t]*f42[t]*g42n[t] - 90154646246217053880*lu1^8*f22n[t]*f42[t]*g42n[t] + 115504396953759185040*lu1^9*f22n[t]*f42[t]*g42n[t] + 694869648796909126080*lu1^10*f22n[t]*f42[t]*g42n[t] + 692366371754556185280*lu1^11*f22n[t]*f42[t]*g42n[t] + 3126903802125667200*lu1^12*f22n[t]*f42[t]*g42n[t] - 176601286242954720000*lu1^13*f22n[t]*f42[t]*g42n[t] + 210547286820*Sqrt[3]*f42[t]*f42n[t]*g42n[t] + 7485949975500*Sqrt[3]* lu1*f42[t]*f42n[t]*g42n[t] - 356516000989380*Sqrt[3]*lu1^2*f42[t]* f42n[t]*g42n[t] - 8137781016626700*Sqrt[3]*lu1^3*f42[t]*f42n[t]* g42n[t] + 30801509440993980*Sqrt[3]*lu1^4*f42[t]*f42n[t]*g42n[t] + 1047796963823561940*Sqrt[3]*lu1^5*f42[t]*f42n[t]*g42n[t] + 2978396135673001380*Sqrt[3]*lu1^6*f42[t]*f42n[t]*g42n[t] - 40393935732889018260*Sqrt[3]*lu1^7*f42[t]*f42n[t]*g42n[t] - 112297556449725134400*Sqrt[3]*lu1^8*f42[t]*f42n[t]*g42n[t] + 142928286618627408960*Sqrt[3]*lu1^9*f42[t]*f42n[t]*g42n[t] + 505431425030230080000*Sqrt[3]*lu1^10*f42[t]*f42n[t]*g42n[t] + 71655014273778711360*Sqrt[3]*lu1^11*f42[t]*f42n[t]*g42n[t] - 319528496766192134400*Sqrt[3]*lu1^12*f42[t]*f42n[t]*g42n[t] - 41045094965629440000*Sqrt[3]*lu1^13*f42[t]*f42n[t]*g42n[t] - 52304773140*Sqrt[210]*f40[t]*f44n[t]*g42n[t] - 1770366633228*Sqrt[210]*lu1*f40[t]*f44n[t]*g42n[t] + 88766355719124*Sqrt[210]*lu1^2*f40[t]*f44n[t]*g42n[t] + 1488815862792876*Sqrt[210]*lu1^3*f40[t]*f44n[t]*g42n[t] - 13368976098075756*Sqrt[210]*lu1^4*f40[t]*f44n[t]*g42n[t] - 262255866415383636*Sqrt[210]*lu1^5*f40[t]*f44n[t]*g42n[t] - 525151224471914676*Sqrt[210]*lu1^6*f40[t]*f44n[t]*g42n[t] + 9211583401166251188*Sqrt[210]*lu1^7*f40[t]*f44n[t]*g42n[t] + 32149971880532363232*Sqrt[210]*lu1^8*f40[t]*f44n[t]*g42n[t] + 4451598629218507968*Sqrt[210]*lu1^9*f40[t]*f44n[t]*g42n[t] - 74230263686060819712*Sqrt[210]*lu1^10*f40[t]*f44n[t]*g42n[t] - 50691439538439600960*Sqrt[210]*lu1^11*f40[t]*f44n[t]*g42n[t] + 20386655017947590400*Sqrt[210]*lu1^12*f40[t]*f44n[t]*g42n[t] + 9466441437825792000*Sqrt[210]*lu1^13*f40[t]*f44n[t]*g42n[t] - 314512470*Sqrt[42]*f44n[t]*g20[t]*g42n[t] - 92849719230*Sqrt[42]*lu1* f44n[t]*g20[t]*g42n[t] + 2130768208350*Sqrt[42]*lu1^2*f44n[t]*g20[t]* g42n[t] + 62103308864850*Sqrt[42]*lu1^3*f44n[t]*g20[t]*g42n[t] - 565426956253230*Sqrt[42]*lu1^4*f44n[t]*g20[t]*g42n[t] - 5143202653475610*Sqrt[42]*lu1^5*f44n[t]*g20[t]*g42n[t] + 19452048833992890*Sqrt[42]*lu1^6*f44n[t]*g20[t]*g42n[t] + 215814018305848950*Sqrt[42]*lu1^7*f44n[t]*g20[t]*g42n[t] + 25358361774864300*Sqrt[42]*lu1^8*f44n[t]*g20[t]*g42n[t] - 3016807101185610960*Sqrt[42]*lu1^9*f44n[t]*g20[t]*g42n[t] - 7762207885622835840*Sqrt[42]*lu1^10*f44n[t]*g20[t]*g42n[t] - 5117822470431828000*Sqrt[42]*lu1^11*f44n[t]*g20[t]*g42n[t] + 3158289233710008000*Sqrt[42]*lu1^12*f44n[t]*g20[t]*g42n[t] + 3416660577771840000*Sqrt[42]*lu1^13*f44n[t]*g20[t]*g42n[t] - 31274100*Sqrt[3]*f22n[t]*g22[t]*g42n[t] - 41604977700*Sqrt[3]*lu1* f22n[t]*g22[t]*g42n[t] + 578346834780*Sqrt[3]*lu1^2*f22n[t]*g22[t]* g42n[t] + 31887157379220*Sqrt[3]*lu1^3*f22n[t]*g22[t]*g42n[t] - 90933170405220*Sqrt[3]*lu1^4*f22n[t]*g22[t]*g42n[t] - 1320466017421980*Sqrt[3]*lu1^5*f22n[t]*g22[t]*g42n[t] - 25693264416948700*Sqrt[3]*lu1^6*f22n[t]*g22[t]*g42n[t] + 145536533426401260*Sqrt[3]*lu1^7*f22n[t]*g22[t]*g42n[t] + 813293644631908440*Sqrt[3]*lu1^8*f22n[t]*g22[t]*g42n[t] - 1372546508403882240*Sqrt[3]*lu1^9*f22n[t]*g22[t]*g42n[t] - 11005766946912840960*Sqrt[3]*lu1^10*f22n[t]*g22[t]*g42n[t] - 17892960882222254400*Sqrt[3]*lu1^11*f22n[t]*g22[t]*g42n[t] - 10020943377590288000*Sqrt[3]*lu1^12*f22n[t]*g22[t]*g42n[t] - 872930343405120000*Sqrt[3]*lu1^13*f22n[t]*g22[t]*g42n[t] + 17049120570*f42n[t]*g22[t]*g42n[t] + 622534672440*lu1*f42n[t]*g22[t]* g42n[t] - 22855564867770*lu1^2*f42n[t]*g22[t]*g42n[t] - 793207433622780*lu1^3*f42n[t]*g22[t]*g42n[t] + 6204854845177710*lu1^4* f42n[t]*g22[t]*g42n[t] + 64289961811378320*lu1^5*f42n[t]*g22[t]* g42n[t] - 136246885301862870*lu1^6*f42n[t]*g22[t]*g42n[t] - 2669506658483708940*lu1^7*f42n[t]*g22[t]*g42n[t] - 4067049742258808760*lu1^8*f42n[t]*g22[t]*g42n[t] + 34254291995033862720*lu1^9*f42n[t]*g22[t]*g42n[t] + 135043167182064142560*lu1^10*f42n[t]*g22[t]*g42n[t] + 153662811840446856000*lu1^11*f42n[t]*g22[t]*g42n[t] + 11875440519790128000*lu1^12*f42n[t]*g22[t]*g42n[t] - 47878786277622720000*lu1^13*f42n[t]*g22[t]*g42n[t] - 6456145500*f42[t]*g22n[t]*g42n[t] - 1091069034804*lu1*f42[t]*g22n[t]* g42n[t] + 28167139067004*lu1^2*f42[t]*g22n[t]*g42n[t] + 702048075722532*lu1^3*f42[t]*g22n[t]*g42n[t] - 6300022926576372*lu1^4* f42[t]*g22n[t]*g42n[t] - 44673024892654284*lu1^5*f42[t]*g22n[t]* g42n[t] + 112695448338220356*lu1^6*f42[t]*g22n[t]*g42n[t] + 1746774056822164188*lu1^7*f42[t]*g22n[t]*g42n[t] + 4111988628171422544*lu1^8*f42[t]*g22n[t]*g42n[t] - 20116169284270108224*lu1^9*f42[t]*g22n[t]*g42n[t] - 111892757090519565888*lu1^10*f42[t]*g22n[t]*g42n[t] - 178139308153639060032*lu1^11*f42[t]*g22n[t]*g42n[t] - 85606780334107065600*lu1^12*f42[t]*g22n[t]*g42n[t] + 9829325458070899200*lu1^13*f42[t]*g22n[t]*g42n[t] - 41082795*Sqrt[210]*f44n[t]*g40[t]*g42n[t] + 122737502772*Sqrt[210]* lu1*f44n[t]*g40[t]*g42n[t] - 1344962862261*Sqrt[210]*lu1^2*f44n[t]* g40[t]*g42n[t] - 29448816398874*Sqrt[210]*lu1^3*f44n[t]*g40[t]* g42n[t] + 74383545909699*Sqrt[210]*lu1^4*f44n[t]*g40[t]*g42n[t] + 1905916775093304*Sqrt[210]*lu1^5*f44n[t]*g40[t]*g42n[t] + 9793104247404309*Sqrt[210]*lu1^6*f44n[t]*g40[t]*g42n[t] - 98124352122683682*Sqrt[210]*lu1^7*f44n[t]*g40[t]*g42n[t] - 323143803115492968*Sqrt[210]*lu1^8*f44n[t]*g40[t]*g42n[t] + 1007016745953662928*Sqrt[210]*lu1^9*f44n[t]*g40[t]*g42n[t] + 4444934563335711888*Sqrt[210]*lu1^10*f44n[t]*g40[t]*g42n[t] + 3978463321679806560*Sqrt[210]*lu1^11*f44n[t]*g40[t]*g42n[t] - 928838269862400000*Sqrt[210]*lu1^12*f44n[t]*g40[t]*g42n[t] - 1554379359422400000*Sqrt[210]*lu1^13*f44n[t]*g40[t]*g42n[t] - 5309095590*f22n[t]*g42[t]*g42n[t] - 34456403700*lu1*f22n[t]*g42[t]* g42n[t] + 7701894848790*lu1^2*f22n[t]*g42[t]*g42n[t] + 13340528049960*lu1^3*f22n[t]*g42[t]*g42n[t] - 1925199969635970*lu1^4* f22n[t]*g42[t]*g42n[t] + 5894601943365180*lu1^5*f22n[t]*g42[t]* g42n[t] + 95657667046846650*lu1^6*f22n[t]*g42[t]*g42n[t] - 233895616051057920*lu1^7*f22n[t]*g42[t]*g42n[t] - 2175260676913041480*lu1^8*f22n[t]*g42[t]*g42n[t] + 575095361443079760*lu1^9*f22n[t]*g42[t]*g42n[t] + 21416208627883281120*lu1^10*f22n[t]*g42[t]*g42n[t] + 43186577295432470400*lu1^11*f22n[t]*g42[t]*g42n[t] + 30865836625792848000*lu1^12*f22n[t]*g42[t]*g42n[t] + 6226156397170080000*lu1^13*f22n[t]*g42[t]*g42n[t] - 852820650*Sqrt[3]*f42n[t]*g42[t]*g42n[t] + 219105008100*Sqrt[3]*lu1* f42n[t]*g42[t]*g42n[t] - 766663382430*Sqrt[3]*lu1^2*f42n[t]*g42[t]* g42n[t] + 8972311407840*Sqrt[3]*lu1^3*f42n[t]*g42[t]*g42n[t] - 807246612890190*Sqrt[3]*lu1^4*f42n[t]*g42[t]*g42n[t] + 2809341840524340*Sqrt[3]*lu1^5*f42n[t]*g42[t]*g42n[t] + 93790510461543390*Sqrt[3]*lu1^6*f42n[t]*g42[t]*g42n[t] - 372183262013934360*Sqrt[3]*lu1^7*f42n[t]*g42[t]*g42n[t] - 2576318261102890920*Sqrt[3]*lu1^8*f42n[t]*g42[t]*g42n[t] + 3709852300970845920*Sqrt[3]*lu1^9*f42n[t]*g42[t]*g42n[t] + 33505147529054578080*Sqrt[3]*lu1^10*f42n[t]*g42[t]*g42n[t] + 50245329315282794880*Sqrt[3]*lu1^11*f42n[t]*g42[t]*g42n[t] + 15059612745544540800*Sqrt[3]*lu1^12*f42n[t]*g42[t]*g42n[t] - 9939982591344960000*Sqrt[3]*lu1^13*f42n[t]*g42[t]*g42n[t] + 930327930*Sqrt[3]*f42[t]*g42n[t]^2 - 498310773660*Sqrt[3]*lu1*f42[t]* g42n[t]^2 + 3776604590430*Sqrt[3]*lu1^2*f42[t]*g42n[t]^2 + 38612606263560*Sqrt[3]*lu1^3*f42[t]*g42n[t]^2 + 759740356290510*Sqrt[3]*lu1^4*f42[t]*g42n[t]^2 - 2605520311544220*Sqrt[3]*lu1^5*f42[t]*g42n[t]^2 - 119736434656538910*Sqrt[3]*lu1^6*f42[t]*g42n[t]^2 + 339263443241246160*Sqrt[3]*lu1^7*f42[t]*g42n[t]^2 + 3000721990495020120*Sqrt[3]*lu1^8*f42[t]*g42n[t]^2 - 2279617834518874080*Sqrt[3]*lu1^9*f42[t]*g42n[t]^2 - 31507414158731081760*Sqrt[3]*lu1^10*f42[t]*g42n[t]^2 - 48296673780609031680*Sqrt[3]*lu1^11*f42[t]*g42n[t]^2 - 13598385067046908800*Sqrt[3]*lu1^12*f42[t]*g42n[t]^2 + 10414720904898240000*Sqrt[3]*lu1^13*f42[t]*g42n[t]^2 - 43538314860*Sqrt[210]*f40[t]*f42[t]*g44[t] - 1854000225108*Sqrt[210]* lu1*f40[t]*f42[t]*g44[t] + 63339872857704*Sqrt[210]*lu1^2*f40[t]* f42[t]*g44[t] + 1109066487968556*Sqrt[210]*lu1^3*f40[t]*f42[t]* g44[t] - 4180292982293616*Sqrt[210]*lu1^4*f40[t]*f42[t]*g44[t] - 49618154572021116*Sqrt[210]*lu1^5*f40[t]*f42[t]*g44[t] - 247791678600585096*Sqrt[210]*lu1^6*f40[t]*f42[t]*g44[t] + 500391469759859748*Sqrt[210]*lu1^7*f40[t]*f42[t]*g44[t] + 8095796087252236092*Sqrt[210]*lu1^8*f40[t]*f42[t]*g44[t] + 21058528203911288448*Sqrt[210]*lu1^9*f40[t]*f42[t]*g44[t] + 10683777995025614208*Sqrt[210]*lu1^10*f40[t]*f42[t]*g44[t] - 22888996586640334080*Sqrt[210]*lu1^11*f40[t]*f42[t]*g44[t] - 23396539628929060800*Sqrt[210]*lu1^12*f40[t]*f42[t]*g44[t] - 1817023488624288000*Sqrt[210]*lu1^13*f40[t]*f42[t]*g44[t] - 847828273320*Sqrt[3]*f42[t]*f44[t]*g44[t] - 30351695046120*Sqrt[3]* lu1*f42[t]*f44[t]*g44[t] + 1389887601167520*Sqrt[3]*lu1^2*f42[t]* f44[t]*g44[t] + 22810200063147000*Sqrt[3]*lu1^3*f42[t]*f44[t]* g44[t] - 191950204110740880*Sqrt[3]*lu1^4*f42[t]*f44[t]*g44[t] - 3466449241071820920*Sqrt[3]*lu1^5*f42[t]*f44[t]*g44[t] - 7340629189361230560*Sqrt[3]*lu1^6*f42[t]*f44[t]*g44[t] + 114762154763855105640*Sqrt[3]*lu1^7*f42[t]*f44[t]*g44[t] + 439730811957877687800*Sqrt[3]*lu1^8*f42[t]*f44[t]*g44[t] + 206754408423781424640*Sqrt[3]*lu1^9*f42[t]*f44[t]*g44[t] - 796145498055968309760*Sqrt[3]*lu1^10*f42[t]*f44[t]*g44[t] - 775713319671736535040*Sqrt[3]*lu1^11*f42[t]*f44[t]*g44[t] + 62924268054884073600*Sqrt[3]*lu1^12*f42[t]*f44[t]*g44[t] + 107213558381496000000*Sqrt[3]*lu1^13*f42[t]*f44[t]*g44[t] + 213546125520*f22n[t]*f44n[t]*g44[t] - 3438688256640*lu1*f22n[t]* f44n[t]*g44[t] - 223671440505240*lu1^2*f22n[t]*f44n[t]*g44[t] + 3610793876966640*lu1^3*f22n[t]*f44n[t]*g44[t] + 75871429658464440*lu1^4*f22n[t]*f44n[t]*g44[t] - 747837227839272480*lu1^5*f22n[t]*f44n[t]*g44[t] - 7615709285521963080*lu1^6*f22n[t]*f44n[t]*g44[t] + 48706130856746191920*lu1^7*f22n[t]*f44n[t]*g44[t] + 160846170788998301880*lu1^8*f22n[t]*f44n[t]*g44[t] - 441110290487835433920*lu1^9*f22n[t]*f44n[t]*g44[t] - 1721603670154765619040*lu1^10*f22n[t]*f44n[t]*g44[t] - 1298831591043735403200*lu1^11*f22n[t]*f44n[t]*g44[t] + 324427327769472345600*lu1^12*f22n[t]*f44n[t]*g44[t] + 410343412659284832000*lu1^13*f22n[t]*f44n[t]*g44[t] + 147290610600*Sqrt[3]*f42n[t]*f44n[t]*g44[t] + 3689754427800*Sqrt[3]* lu1*f42n[t]*f44n[t]*g44[t] - 298123735608720*Sqrt[3]*lu1^2*f42n[t]* f44n[t]*g44[t] - 7659818895372840*Sqrt[3]*lu1^3*f42n[t]*f44n[t]* g44[t] + 39385946801389440*Sqrt[3]*lu1^4*f42n[t]*f44n[t]*g44[t] + 1515185718982495560*Sqrt[3]*lu1^5*f42n[t]*f44n[t]*g44[t] + 3515035313390490960*Sqrt[3]*lu1^6*f42n[t]*f44n[t]*g44[t] - 63805531986527680440*Sqrt[3]*lu1^7*f42n[t]*f44n[t]*g44[t] - 154816322699832895080*Sqrt[3]*lu1^8*f42n[t]*f44n[t]*g44[t] + 282908715604131214080*Sqrt[3]*lu1^9*f42n[t]*f44n[t]*g44[t] + 822739882265174065920*Sqrt[3]*lu1^10*f42n[t]*f44n[t]*g44[t] + 56313287678636190720*Sqrt[3]*lu1^11*f42n[t]*f44n[t]*g44[t] - 562404053980521916800*Sqrt[3]*lu1^12*f42n[t]*f44n[t]*g44[t] - 75828158151520320000*Sqrt[3]*lu1^13*f42n[t]*f44n[t]*g44[t] - 841544235*Sqrt[42]*f42[t]*g20[t]*g44[t] - 72398690190*Sqrt[42]*lu1* f42[t]*g20[t]*g44[t] + 2158374511035*Sqrt[42]*lu1^2*f42[t]*g20[t]* g44[t] + 58689074685780*Sqrt[42]*lu1^3*f42[t]*g20[t]*g44[t] - 595135302095925*Sqrt[42]*lu1^4*f42[t]*g20[t]*g44[t] - 3570425479398150*Sqrt[42]*lu1^5*f42[t]*g20[t]*g44[t] + 13309323172721925*Sqrt[42]*lu1^6*f42[t]*g20[t]*g44[t] - 55612771521766680*Sqrt[42]*lu1^7*f42[t]*g20[t]*g44[t] + 190840155038373360*Sqrt[42]*lu1^8*f42[t]*g20[t]*g44[t] + 3557645527031979000*Sqrt[42]*lu1^9*f42[t]*g20[t]*g44[t] + 8276984697688658640*Sqrt[42]*lu1^10*f42[t]*g20[t]*g44[t] + 4872339873061008960*Sqrt[42]*lu1^11*f42[t]*g20[t]*g44[t] - 1128834705463516800*Sqrt[42]*lu1^12*f42[t]*g20[t]*g44[t] - 529852011766224000*Sqrt[42]*lu1^13*f42[t]*g20[t]*g44[t] - 693186903*Sqrt[70]*f40[t]*g22[t]*g44[t] - 59542159590*Sqrt[70]*lu1* f40[t]*g22[t]*g44[t] + 1711753323723*Sqrt[70]*lu1^2*f40[t]*g22[t]* g44[t] + 49523539410972*Sqrt[70]*lu1^3*f40[t]*g22[t]*g44[t] - 453985836503709*Sqrt[70]*lu1^4*f40[t]*g22[t]*g44[t] - 3277916376599694*Sqrt[70]*lu1^5*f40[t]*g22[t]*g44[t] + 12990185942899125*Sqrt[70]*lu1^6*f40[t]*g22[t]*g44[t] + 83074710673346496*Sqrt[70]*lu1^7*f40[t]*g22[t]*g44[t] + 64284358410404964*Sqrt[70]*lu1^8*f40[t]*g22[t]*g44[t] - 525981171490611528*Sqrt[70]*lu1^9*f40[t]*g22[t]*g44[t] - 1897832264374100496*Sqrt[70]*lu1^10*f40[t]*g22[t]*g44[t] - 1940150842591375680*Sqrt[70]*lu1^11*f40[t]*g22[t]*g44[t] + 848006502929803200*Sqrt[70]*lu1^12*f40[t]*g22[t]*g44[t] + 1652456408480304000*Sqrt[70]*lu1^13*f40[t]*g22[t]*g44[t] + 10103837940*f44[t]*g22[t]*g44[t] - 1161093505320*lu1*f44[t]*g22[t]* g44[t] + 20113937606700*lu1^2*f44[t]*g22[t]*g44[t] + 390584682069120*lu1^3*f44[t]*g22[t]*g44[t] - 5605549075032900*lu1^4* f44[t]*g22[t]*g44[t] - 26997017048355480*lu1^5*f44[t]*g22[t]* g44[t] + 193654091961021300*lu1^6*f44[t]*g22[t]*g44[t] - 1447378429837158000*lu1^7*f44[t]*g22[t]*g44[t] - 1461163607828630160*lu1^8*f44[t]*g22[t]*g44[t] + 54509007090080718000*lu1^9*f44[t]*g22[t]*g44[t] + 182265795086730962880*lu1^10*f44[t]*g22[t]*g44[t] + 188047141939599626880*lu1^11*f44[t]*g22[t]*g44[t] + 31445491969630905600*lu1^12*f44[t]*g22[t]*g44[t] - 28965360259127712000*lu1^13*f44[t]*g22[t]*g44[t] - 12099570210*f44n[t]*g22n[t]*g44[t] + 559481514228*lu1*f44n[t]*g22n[t]* g44[t] - 4760828000838*lu1^2*f44n[t]*g22n[t]*g44[t] + 54296157451536*lu1^3*f44n[t]*g22n[t]*g44[t] - 1257196008700086*lu1^4* f44n[t]*g22n[t]*g44[t] + 3590775879937428*lu1^5*f44n[t]*g22n[t]* g44[t] + 115172876320365318*lu1^6*f44n[t]*g22n[t]*g44[t] - 3172721112064858536*lu1^7*f44n[t]*g22n[t]*g44[t] - 4971592157922623688*lu1^8*f44n[t]*g22n[t]*g44[t] + 77048524449562590288*lu1^9*f44n[t]*g22n[t]*g44[t] + 295164086916308072736*lu1^10*f44n[t]*g22n[t]*g44[t] + 377995389777479545344*lu1^11*f44n[t]*g22n[t]*g44[t] + 162356764242720028800*lu1^12*f44n[t]*g22n[t]*g44[t] - 1657059378037190400*lu1^13*f44n[t]*g22n[t]*g44[t] + 42143490*Sqrt[210]*f42[t]*g40[t]*g44[t] + 27895856652*Sqrt[210]*lu1* f42[t]*g40[t]*g44[t] - 384310645146*Sqrt[210]*lu1^2*f42[t]*g40[t]* g44[t] - 3464193308544*Sqrt[210]*lu1^3*f42[t]*g40[t]*g44[t] + 29247987365334*Sqrt[210]*lu1^4*f42[t]*g40[t]*g44[t] - 1134094424420676*Sqrt[210]*lu1^5*f42[t]*g40[t]*g44[t] - 968223486517926*Sqrt[210]*lu1^6*f42[t]*g40[t]*g44[t] + 79688058331266648*Sqrt[210]*lu1^7*f42[t]*g40[t]*g44[t] + 153826253510238792*Sqrt[210]*lu1^8*f42[t]*g40[t]*g44[t] - 1196905474547763552*Sqrt[210]*lu1^9*f42[t]*g40[t]*g44[t] - 4767707309275367712*Sqrt[210]*lu1^10*f42[t]*g40[t]*g44[t] - 5515586417456695680*Sqrt[210]*lu1^11*f42[t]*g40[t]*g44[t] - 964486626919478400*Sqrt[210]*lu1^12*f42[t]*g40[t]*g44[t] + 1148622799141440000*Sqrt[210]*lu1^13*f42[t]*g40[t]*g44[t] - 63066519*Sqrt[210]*f40[t]*g42[t]*g44[t] + 72731253024*Sqrt[210]*lu1* f40[t]*g42[t]*g44[t] - 678679458993*Sqrt[210]*lu1^2*f40[t]*g42[t]* g44[t] - 5154924429702*Sqrt[210]*lu1^3*f40[t]*g42[t]*g44[t] - 65626527995289*Sqrt[210]*lu1^4*f40[t]*g42[t]*g44[t] - 934879573856724*Sqrt[210]*lu1^5*f40[t]*g42[t]*g44[t] + 11931858595110033*Sqrt[210]*lu1^6*f40[t]*g42[t]*g44[t] + 44772148809567594*Sqrt[210]*lu1^7*f40[t]*g42[t]*g44[t] - 170205433908449184*Sqrt[210]*lu1^8*f40[t]*g42[t]*g44[t] - 954298844567476848*Sqrt[210]*lu1^9*f40[t]*g42[t]*g44[t] - 1275413950319141232*Sqrt[210]*lu1^10*f40[t]*g42[t]*g44[t] - 21801331962121440*Sqrt[210]*lu1^11*f40[t]*g42[t]*g44[t] + 724342753983772800*Sqrt[210]*lu1^12*f40[t]*g42[t]*g44[t] + 25965909438336000*Sqrt[210]*lu1^13*f40[t]*g42[t]*g44[t] + 99967770*Sqrt[3]*f44[t]*g42[t]*g44[t] + 1027053389880*Sqrt[3]*lu1* f44[t]*g42[t]*g44[t] - 11784293301690*Sqrt[3]*lu1^2*f44[t]*g42[t]* g44[t] - 181781014608900*Sqrt[3]*lu1^3*f44[t]*g42[t]*g44[t] + 477763503941430*Sqrt[3]*lu1^4*f44[t]*g42[t]*g44[t] - 5668564903139040*Sqrt[3]*lu1^5*f44[t]*g42[t]*g44[t] + 63732268992656250*Sqrt[3]*lu1^6*f44[t]*g42[t]*g44[t] + 507095399950142220*Sqrt[3]*lu1^7*f44[t]*g42[t]*g44[t] - 264485036933334000*Sqrt[3]*lu1^8*f44[t]*g42[t]*g44[t] - 10421679237378726240*Sqrt[3]*lu1^9*f44[t]*g42[t]*g44[t] - 33247256088178510560*Sqrt[3]*lu1^10*f44[t]*g42[t]*g44[t] - 40065075765641478720*Sqrt[3]*lu1^11*f44[t]*g42[t]*g44[t] - 12496024912075891200*Sqrt[3]*lu1^12*f44[t]*g42[t]*g44[t] + 5130747047180160000*Sqrt[3]*lu1^13*f44[t]*g42[t]*g44[t] + 1385005230*Sqrt[3]*f44n[t]*g42n[t]*g44[t] - 827720548200*Sqrt[3]*lu1* f44n[t]*g42n[t]*g44[t] + 6786297006930*Sqrt[3]*lu1^2*f44n[t]*g42n[t]* g44[t] + 120845803572900*Sqrt[3]*lu1^3*f44n[t]*g42n[t]*g44[t] + 768202919428770*Sqrt[3]*lu1^4*f44n[t]*g42n[t]*g44[t] - 14152193303695440*Sqrt[3]*lu1^5*f44n[t]*g42n[t]*g44[t] - 172046131751968530*Sqrt[3]*lu1^6*f44n[t]*g42n[t]*g44[t] + 1060408737032791860*Sqrt[3]*lu1^7*f44n[t]*g42n[t]*g44[t] + 5148197100689806800*Sqrt[3]*lu1^8*f44n[t]*g42n[t]*g44[t] - 11241755181808572960*Sqrt[3]*lu1^9*f44n[t]*g42n[t]*g44[t] - 71773501080006583200*Sqrt[3]*lu1^10*f44n[t]*g42n[t]*g44[t] - 92914049811491751360*Sqrt[3]*lu1^11*f44n[t]*g42n[t]*g44[t] - 17030887237260825600*Sqrt[3]*lu1^12*f44n[t]*g42n[t]*g44[t] + 22038577531286400000*Sqrt[3]*lu1^13*f44n[t]*g42n[t]*g44[t] - 642518730*Sqrt[3]*f42[t]*g44[t]^2 + 927386969040*Sqrt[3]*lu1*f42[t]* g44[t]^2 - 9285295154310*Sqrt[3]*lu1^2*f42[t]*g44[t]^2 - 151313409090900*Sqrt[3]*lu1^3*f42[t]*g44[t]^2 - 145219707743670*Sqrt[3]*lu1^4*f42[t]*g44[t]^2 + 4241814200278200*Sqrt[3]*lu1^5*f42[t]*g44[t]^2 + 117889200372312390*Sqrt[3]*lu1^6*f42[t]*g44[t]^2 - 276656668541324820*Sqrt[3]*lu1^7*f42[t]*g44[t]^2 - 2706341068811570400*Sqrt[3]*lu1^8*f42[t]*g44[t]^2 + 410037972214923360*Sqrt[3]*lu1^9*f42[t]*g44[t]^2 + 19263122495914036320*Sqrt[3]*lu1^10*f42[t]*g44[t]^2 + 26424487022925136320*Sqrt[3]*lu1^11*f42[t]*g44[t]^2 + 2267431162592467200*Sqrt[3]*lu1^12*f42[t]*g44[t]^2 - 8453915242053120000*Sqrt[3]*lu1^13*f42[t]*g44[t]^2 + 15816118644*Sqrt[70]*f22n[t]*f40[t]*g44n[t] + 537128066700*Sqrt[70]* lu1*f22n[t]*f40[t]*g44n[t] - 24975945563544*Sqrt[70]*lu1^2*f22n[t]* f40[t]*g44n[t] - 488551895102196*Sqrt[70]*lu1^3*f22n[t]*f40[t]* g44n[t] + 4849704993410832*Sqrt[70]*lu1^4*f22n[t]*f40[t]*g44n[t] + 20755274642580372*Sqrt[70]*lu1^5*f22n[t]*f40[t]*g44n[t] - 93927359975090520*Sqrt[70]*lu1^6*f22n[t]*f40[t]*g44n[t] - 481907827191184188*Sqrt[70]*lu1^7*f22n[t]*f40[t]*g44n[t] - 367906773007931652*Sqrt[70]*lu1^8*f22n[t]*f40[t]*g44n[t] + 1514960576169573744*Sqrt[70]*lu1^9*f22n[t]*f40[t]*g44n[t] + 6361630853193900528*Sqrt[70]*lu1^10*f22n[t]*f40[t]*g44n[t] + 10567178943534677280*Sqrt[70]*lu1^11*f22n[t]*f40[t]*g44n[t] + 4196229440655907200*Sqrt[70]*lu1^12*f22n[t]*f40[t]*g44n[t] - 2559442617539472000*Sqrt[70]*lu1^13*f22n[t]*f40[t]*g44n[t] - 43538314860*Sqrt[210]*f40[t]*f42n[t]*g44n[t] - 1854000225108*Sqrt[210]*lu1*f40[t]*f42n[t]*g44n[t] + 63339872857704*Sqrt[210]*lu1^2*f40[t]*f42n[t]*g44n[t] + 1109066487968556*Sqrt[210]*lu1^3*f40[t]*f42n[t]*g44n[t] - 4180292982293616*Sqrt[210]*lu1^4*f40[t]*f42n[t]*g44n[t] - 49618154572021116*Sqrt[210]*lu1^5*f40[t]*f42n[t]*g44n[t] - 247791678600585096*Sqrt[210]*lu1^6*f40[t]*f42n[t]*g44n[t] + 500391469759859748*Sqrt[210]*lu1^7*f40[t]*f42n[t]*g44n[t] + 8095796087252236092*Sqrt[210]*lu1^8*f40[t]*f42n[t]*g44n[t] + 21058528203911288448*Sqrt[210]*lu1^9*f40[t]*f42n[t]*g44n[t] + 10683777995025614208*Sqrt[210]*lu1^10*f40[t]*f42n[t]*g44n[t] - 22888996586640334080*Sqrt[210]*lu1^11*f40[t]*f42n[t]*g44n[t] - 23396539628929060800*Sqrt[210]*lu1^12*f40[t]*f42n[t]*g44n[t] - 1817023488624288000*Sqrt[210]*lu1^13*f40[t]*f42n[t]*g44n[t] - 213546125520*f22n[t]*f44[t]*g44n[t] + 3438688256640*lu1*f22n[t]* f44[t]*g44n[t] + 223671440505240*lu1^2*f22n[t]*f44[t]*g44n[t] - 3610793876966640*lu1^3*f22n[t]*f44[t]*g44n[t] - 75871429658464440*lu1^4*f22n[t]*f44[t]*g44n[t] + 747837227839272480*lu1^5*f22n[t]*f44[t]*g44n[t] + 7615709285521963080*lu1^6*f22n[t]*f44[t]*g44n[t] - 48706130856746191920*lu1^7*f22n[t]*f44[t]*g44n[t] - 160846170788998301880*lu1^8*f22n[t]*f44[t]*g44n[t] + 441110290487835433920*lu1^9*f22n[t]*f44[t]*g44n[t] + 1721603670154765619040*lu1^10*f22n[t]*f44[t]*g44n[t] + 1298831591043735403200*lu1^11*f22n[t]*f44[t]*g44n[t] - 324427327769472345600*lu1^12*f22n[t]*f44[t]*g44n[t] - 410343412659284832000*lu1^13*f22n[t]*f44[t]*g44n[t] - 147290610600*Sqrt[3]*f42n[t]*f44[t]*g44n[t] - 3689754427800*Sqrt[3]* lu1*f42n[t]*f44[t]*g44n[t] + 298123735608720*Sqrt[3]*lu1^2*f42n[t]* f44[t]*g44n[t] + 7659818895372840*Sqrt[3]*lu1^3*f42n[t]*f44[t]* g44n[t] - 39385946801389440*Sqrt[3]*lu1^4*f42n[t]*f44[t]*g44n[t] - 1515185718982495560*Sqrt[3]*lu1^5*f42n[t]*f44[t]*g44n[t] - 3515035313390490960*Sqrt[3]*lu1^6*f42n[t]*f44[t]*g44n[t] + 63805531986527680440*Sqrt[3]*lu1^7*f42n[t]*f44[t]*g44n[t] + 154816322699832895080*Sqrt[3]*lu1^8*f42n[t]*f44[t]*g44n[t] - 282908715604131214080*Sqrt[3]*lu1^9*f42n[t]*f44[t]*g44n[t] - 822739882265174065920*Sqrt[3]*lu1^10*f42n[t]*f44[t]*g44n[t] - 56313287678636190720*Sqrt[3]*lu1^11*f42n[t]*f44[t]*g44n[t] + 562404053980521916800*Sqrt[3]*lu1^12*f42n[t]*f44[t]*g44n[t] + 75828158151520320000*Sqrt[3]*lu1^13*f42n[t]*f44[t]*g44n[t] - 847828273320*Sqrt[3]*f42[t]*f44n[t]*g44n[t] - 30351695046120*Sqrt[3]* lu1*f42[t]*f44n[t]*g44n[t] + 1389887601167520*Sqrt[3]*lu1^2*f42[t]* f44n[t]*g44n[t] + 22810200063147000*Sqrt[3]*lu1^3*f42[t]*f44n[t]* g44n[t] - 191950204110740880*Sqrt[3]*lu1^4*f42[t]*f44n[t]*g44n[t] - 3466449241071820920*Sqrt[3]*lu1^5*f42[t]*f44n[t]*g44n[t] - 7340629189361230560*Sqrt[3]*lu1^6*f42[t]*f44n[t]*g44n[t] + 114762154763855105640*Sqrt[3]*lu1^7*f42[t]*f44n[t]*g44n[t] + 439730811957877687800*Sqrt[3]*lu1^8*f42[t]*f44n[t]*g44n[t] + 206754408423781424640*Sqrt[3]*lu1^9*f42[t]*f44n[t]*g44n[t] - 796145498055968309760*Sqrt[3]*lu1^10*f42[t]*f44n[t]*g44n[t] - 775713319671736535040*Sqrt[3]*lu1^11*f42[t]*f44n[t]*g44n[t] + 62924268054884073600*Sqrt[3]*lu1^12*f42[t]*f44n[t]*g44n[t] + 107213558381496000000*Sqrt[3]*lu1^13*f42[t]*f44n[t]*g44n[t] + 656756100*Sqrt[14]*f22n[t]*g20[t]*g44n[t] + 18047240640*Sqrt[14]*lu1* f22n[t]*g20[t]*g44n[t] - 1227954138840*Sqrt[14]*lu1^2*f22n[t]*g20[t]* g44n[t] - 14118871286520*Sqrt[14]*lu1^3*f22n[t]*g20[t]*g44n[t] + 398033642480760*Sqrt[14]*lu1^4*f22n[t]*g20[t]*g44n[t] - 348899630096160*Sqrt[14]*lu1^5*f22n[t]*g20[t]*g44n[t] - 16608812145073720*Sqrt[14]*lu1^6*f22n[t]*g20[t]*g44n[t] + 123488707314378120*Sqrt[14]*lu1^7*f22n[t]*g20[t]*g44n[t] + 192762664714937460*Sqrt[14]*lu1^8*f22n[t]*g20[t]*g44n[t] - 2385205226940959280*Sqrt[14]*lu1^9*f22n[t]*g20[t]*g44n[t] - 8761919818658841120*Sqrt[14]*lu1^10*f22n[t]*g20[t]*g44n[t] - 11987155017377654400*Sqrt[14]*lu1^11*f22n[t]*g20[t]*g44n[t] - 6566640797380664000*Sqrt[14]*lu1^12*f22n[t]*g20[t]*g44n[t] - 672550532253600000*Sqrt[14]*lu1^13*f22n[t]*g20[t]*g44n[t] - 841544235*Sqrt[42]*f42n[t]*g20[t]*g44n[t] - 72398690190*Sqrt[42]*lu1* f42n[t]*g20[t]*g44n[t] + 2158374511035*Sqrt[42]*lu1^2*f42n[t]*g20[t]* g44n[t] + 58689074685780*Sqrt[42]*lu1^3*f42n[t]*g20[t]*g44n[t] - 595135302095925*Sqrt[42]*lu1^4*f42n[t]*g20[t]*g44n[t] - 3570425479398150*Sqrt[42]*lu1^5*f42n[t]*g20[t]*g44n[t] + 13309323172721925*Sqrt[42]*lu1^6*f42n[t]*g20[t]*g44n[t] - 55612771521766680*Sqrt[42]*lu1^7*f42n[t]*g20[t]*g44n[t] + 190840155038373360*Sqrt[42]*lu1^8*f42n[t]*g20[t]*g44n[t] + 3557645527031979000*Sqrt[42]*lu1^9*f42n[t]*g20[t]*g44n[t] + 8276984697688658640*Sqrt[42]*lu1^10*f42n[t]*g20[t]*g44n[t] + 4872339873061008960*Sqrt[42]*lu1^11*f42n[t]*g20[t]*g44n[t] - 1128834705463516800*Sqrt[42]*lu1^12*f42n[t]*g20[t]*g44n[t] - 529852011766224000*Sqrt[42]*lu1^13*f42n[t]*g20[t]*g44n[t] + 10103837940*f44n[t]*g22[t]*g44n[t] - 1161093505320*lu1*f44n[t]*g22[t]* g44n[t] + 20113937606700*lu1^2*f44n[t]*g22[t]*g44n[t] + 390584682069120*lu1^3*f44n[t]*g22[t]*g44n[t] - 5605549075032900*lu1^4* f44n[t]*g22[t]*g44n[t] - 26997017048355480*lu1^5*f44n[t]*g22[t]* g44n[t] + 193654091961021300*lu1^6*f44n[t]*g22[t]*g44n[t] - 1447378429837158000*lu1^7*f44n[t]*g22[t]*g44n[t] - 1461163607828630160*lu1^8*f44n[t]*g22[t]*g44n[t] + 54509007090080718000*lu1^9*f44n[t]*g22[t]*g44n[t] + 182265795086730962880*lu1^10*f44n[t]*g22[t]*g44n[t] + 188047141939599626880*lu1^11*f44n[t]*g22[t]*g44n[t] + 31445491969630905600*lu1^12*f44n[t]*g22[t]*g44n[t] - 28965360259127712000*lu1^13*f44n[t]*g22[t]*g44n[t] - 693186903*Sqrt[70]*f40[t]*g22n[t]*g44n[t] - 59542159590*Sqrt[70]*lu1* f40[t]*g22n[t]*g44n[t] + 1711753323723*Sqrt[70]*lu1^2*f40[t]*g22n[t]* g44n[t] + 49523539410972*Sqrt[70]*lu1^3*f40[t]*g22n[t]*g44n[t] - 453985836503709*Sqrt[70]*lu1^4*f40[t]*g22n[t]*g44n[t] - 3277916376599694*Sqrt[70]*lu1^5*f40[t]*g22n[t]*g44n[t] + 12990185942899125*Sqrt[70]*lu1^6*f40[t]*g22n[t]*g44n[t] + 83074710673346496*Sqrt[70]*lu1^7*f40[t]*g22n[t]*g44n[t] + 64284358410404964*Sqrt[70]*lu1^8*f40[t]*g22n[t]*g44n[t] - 525981171490611528*Sqrt[70]*lu1^9*f40[t]*g22n[t]*g44n[t] - 1897832264374100496*Sqrt[70]*lu1^10*f40[t]*g22n[t]*g44n[t] - 1940150842591375680*Sqrt[70]*lu1^11*f40[t]*g22n[t]*g44n[t] + 848006502929803200*Sqrt[70]*lu1^12*f40[t]*g22n[t]*g44n[t] + 1652456408480304000*Sqrt[70]*lu1^13*f40[t]*g22n[t]*g44n[t] + 12099570210*f44[t]*g22n[t]*g44n[t] - 559481514228*lu1*f44[t]*g22n[t]* g44n[t] + 4760828000838*lu1^2*f44[t]*g22n[t]*g44n[t] - 54296157451536*lu1^3*f44[t]*g22n[t]*g44n[t] + 1257196008700086*lu1^4* f44[t]*g22n[t]*g44n[t] - 3590775879937428*lu1^5*f44[t]*g22n[t]* g44n[t] - 115172876320365318*lu1^6*f44[t]*g22n[t]*g44n[t] + 3172721112064858536*lu1^7*f44[t]*g22n[t]*g44n[t] + 4971592157922623688*lu1^8*f44[t]*g22n[t]*g44n[t] - 77048524449562590288*lu1^9*f44[t]*g22n[t]*g44n[t] - 295164086916308072736*lu1^10*f44[t]*g22n[t]*g44n[t] - 377995389777479545344*lu1^11*f44[t]*g22n[t]*g44n[t] - 162356764242720028800*lu1^12*f44[t]*g22n[t]*g44n[t] + 1657059378037190400*lu1^13*f44[t]*g22n[t]*g44n[t] - 353939706*Sqrt[70]*f22n[t]*g40[t]*g44n[t] - 2297093580*Sqrt[70]*lu1* f22n[t]*g40[t]*g44n[t] + 513459656586*Sqrt[70]*lu1^2*f22n[t]*g40[t]* g44n[t] + 889368536664*Sqrt[70]*lu1^3*f22n[t]*g40[t]*g44n[t] - 128346664642398*Sqrt[70]*lu1^4*f22n[t]*g40[t]*g44n[t] + 392973462891012*Sqrt[70]*lu1^5*f22n[t]*g40[t]*g44n[t] + 6377177803123110*Sqrt[70]*lu1^6*f22n[t]*g40[t]*g44n[t] - 15593041070070528*Sqrt[70]*lu1^7*f22n[t]*g40[t]*g44n[t] - 145017378460869432*Sqrt[70]*lu1^8*f22n[t]*g40[t]*g44n[t] + 38339690762871984*Sqrt[70]*lu1^9*f22n[t]*g40[t]*g44n[t] + 1427747241858885408*Sqrt[70]*lu1^10*f22n[t]*g40[t]*g44n[t] + 2879105153028831360*Sqrt[70]*lu1^11*f22n[t]*g40[t]*g44n[t] + 2057722441719523200*Sqrt[70]*lu1^12*f22n[t]*g40[t]*g44n[t] + 415077093144672000*Sqrt[70]*lu1^13*f22n[t]*g40[t]*g44n[t] + 42143490*Sqrt[210]*f42n[t]*g40[t]*g44n[t] + 27895856652*Sqrt[210]*lu1* f42n[t]*g40[t]*g44n[t] - 384310645146*Sqrt[210]*lu1^2*f42n[t]*g40[t]* g44n[t] - 3464193308544*Sqrt[210]*lu1^3*f42n[t]*g40[t]*g44n[t] + 29247987365334*Sqrt[210]*lu1^4*f42n[t]*g40[t]*g44n[t] - 1134094424420676*Sqrt[210]*lu1^5*f42n[t]*g40[t]*g44n[t] - 968223486517926*Sqrt[210]*lu1^6*f42n[t]*g40[t]*g44n[t] + 79688058331266648*Sqrt[210]*lu1^7*f42n[t]*g40[t]*g44n[t] + 153826253510238792*Sqrt[210]*lu1^8*f42n[t]*g40[t]*g44n[t] - 1196905474547763552*Sqrt[210]*lu1^9*f42n[t]*g40[t]*g44n[t] - 4767707309275367712*Sqrt[210]*lu1^10*f42n[t]*g40[t]*g44n[t] - 5515586417456695680*Sqrt[210]*lu1^11*f42n[t]*g40[t]*g44n[t] - 964486626919478400*Sqrt[210]*lu1^12*f42n[t]*g40[t]*g44n[t] + 1148622799141440000*Sqrt[210]*lu1^13*f42n[t]*g40[t]*g44n[t] + 99967770*Sqrt[3]*f44n[t]*g42[t]*g44n[t] + 1027053389880*Sqrt[3]*lu1* f44n[t]*g42[t]*g44n[t] - 11784293301690*Sqrt[3]*lu1^2*f44n[t]*g42[t]* g44n[t] - 181781014608900*Sqrt[3]*lu1^3*f44n[t]*g42[t]*g44n[t] + 477763503941430*Sqrt[3]*lu1^4*f44n[t]*g42[t]*g44n[t] - 5668564903139040*Sqrt[3]*lu1^5*f44n[t]*g42[t]*g44n[t] + 63732268992656250*Sqrt[3]*lu1^6*f44n[t]*g42[t]*g44n[t] + 507095399950142220*Sqrt[3]*lu1^7*f44n[t]*g42[t]*g44n[t] - 264485036933334000*Sqrt[3]*lu1^8*f44n[t]*g42[t]*g44n[t] - 10421679237378726240*Sqrt[3]*lu1^9*f44n[t]*g42[t]*g44n[t] - 33247256088178510560*Sqrt[3]*lu1^10*f44n[t]*g42[t]*g44n[t] - 40065075765641478720*Sqrt[3]*lu1^11*f44n[t]*g42[t]*g44n[t] - 12496024912075891200*Sqrt[3]*lu1^12*f44n[t]*g42[t]*g44n[t] + 5130747047180160000*Sqrt[3]*lu1^13*f44n[t]*g42[t]*g44n[t] - 63066519*Sqrt[210]*f40[t]*g42n[t]*g44n[t] + 72731253024*Sqrt[210]*lu1* f40[t]*g42n[t]*g44n[t] - 678679458993*Sqrt[210]*lu1^2*f40[t]*g42n[t]* g44n[t] - 5154924429702*Sqrt[210]*lu1^3*f40[t]*g42n[t]*g44n[t] - 65626527995289*Sqrt[210]*lu1^4*f40[t]*g42n[t]*g44n[t] - 934879573856724*Sqrt[210]*lu1^5*f40[t]*g42n[t]*g44n[t] + 11931858595110033*Sqrt[210]*lu1^6*f40[t]*g42n[t]*g44n[t] + 44772148809567594*Sqrt[210]*lu1^7*f40[t]*g42n[t]*g44n[t] - 170205433908449184*Sqrt[210]*lu1^8*f40[t]*g42n[t]*g44n[t] - 954298844567476848*Sqrt[210]*lu1^9*f40[t]*g42n[t]*g44n[t] - 1275413950319141232*Sqrt[210]*lu1^10*f40[t]*g42n[t]*g44n[t] - 21801331962121440*Sqrt[210]*lu1^11*f40[t]*g42n[t]*g44n[t] + 724342753983772800*Sqrt[210]*lu1^12*f40[t]*g42n[t]*g44n[t] + 25965909438336000*Sqrt[210]*lu1^13*f40[t]*g42n[t]*g44n[t] - 1385005230*Sqrt[3]*f44[t]*g42n[t]*g44n[t] + 827720548200*Sqrt[3]*lu1* f44[t]*g42n[t]*g44n[t] - 6786297006930*Sqrt[3]*lu1^2*f44[t]*g42n[t]* g44n[t] - 120845803572900*Sqrt[3]*lu1^3*f44[t]*g42n[t]*g44n[t] - 768202919428770*Sqrt[3]*lu1^4*f44[t]*g42n[t]*g44n[t] + 14152193303695440*Sqrt[3]*lu1^5*f44[t]*g42n[t]*g44n[t] + 172046131751968530*Sqrt[3]*lu1^6*f44[t]*g42n[t]*g44n[t] - 1060408737032791860*Sqrt[3]*lu1^7*f44[t]*g42n[t]*g44n[t] - 5148197100689806800*Sqrt[3]*lu1^8*f44[t]*g42n[t]*g44n[t] + 11241755181808572960*Sqrt[3]*lu1^9*f44[t]*g42n[t]*g44n[t] + 71773501080006583200*Sqrt[3]*lu1^10*f44[t]*g42n[t]*g44n[t] + 92914049811491751360*Sqrt[3]*lu1^11*f44[t]*g42n[t]*g44n[t] + 17030887237260825600*Sqrt[3]*lu1^12*f44[t]*g42n[t]*g44n[t] - 22038577531286400000*Sqrt[3]*lu1^13*f44[t]*g42n[t]*g44n[t] - 642518730*Sqrt[3]*f42[t]*g44n[t]^2 + 927386969040*Sqrt[3]*lu1*f42[t]* g44n[t]^2 - 9285295154310*Sqrt[3]*lu1^2*f42[t]*g44n[t]^2 - 151313409090900*Sqrt[3]*lu1^3*f42[t]*g44n[t]^2 - 145219707743670*Sqrt[3]*lu1^4*f42[t]*g44n[t]^2 + 4241814200278200*Sqrt[3]*lu1^5*f42[t]*g44n[t]^2 + 117889200372312390*Sqrt[3]*lu1^6*f42[t]*g44n[t]^2 - 276656668541324820*Sqrt[3]*lu1^7*f42[t]*g44n[t]^2 - 2706341068811570400*Sqrt[3]*lu1^8*f42[t]*g44n[t]^2 + 410037972214923360*Sqrt[3]*lu1^9*f42[t]*g44n[t]^2 + 19263122495914036320*Sqrt[3]*lu1^10*f42[t]*g44n[t]^2 + 26424487022925136320*Sqrt[3]*lu1^11*f42[t]*g44n[t]^2 + 2267431162592467200*Sqrt[3]*lu1^12*f42[t]*g44n[t]^2 - 8453915242053120000*Sqrt[3]*lu1^13*f42[t]*g44n[t]^2 + f20[t]*(75810402900*Sqrt[15]*f40[t]*f42[t] - 1452594199860*Sqrt[15]* lu1*f40[t]*f42[t] - 76798100096100*Sqrt[15]*lu1^2*f40[t]*f42[t] - 613764316721700*Sqrt[15]*lu1^3*f40[t]*f42[t] + 80730946614652020* Sqrt[15]*lu1^4*f40[t]*f42[t] - 514927022496136380*Sqrt[15]*lu1^5* f40[t]*f42[t] - 2068918769861751180*Sqrt[15]*lu1^6*f40[t]*f42[t] + 29442246521349342900*Sqrt[15]*lu1^7*f40[t]*f42[t] + 229439768874767092200*Sqrt[15]*lu1^8*f40[t]*f42[t] + 575078581996925147040*Sqrt[15]*lu1^9*f40[t]*f42[t] + 271986426659912456640*Sqrt[15]*lu1^10*f40[t]*f42[t] - 615000071562341997120*Sqrt[15]*lu1^11*f40[t]*f42[t] - 594470030116505692800*Sqrt[15]*lu1^12*f40[t]*f42[t] - 80005108147159104000*Sqrt[15]*lu1^13*f40[t]*f42[t] + 236791568700*Sqrt[42]*f42[t]*f44[t] - 8846625121020*Sqrt[42]*lu1* f42[t]*f44[t] - 46069529561100*Sqrt[42]*lu1^2*f42[t]*f44[t] + 3750640656135060*Sqrt[42]*lu1^3*f42[t]*f44[t] - 32706820762738020*Sqrt[42]*lu1^4*f42[t]*f44[t] - 176518203833056020*Sqrt[42]*lu1^5*f42[t]*f44[t] + 56167913551865340*Sqrt[42]*lu1^6*f42[t]*f44[t] + 21184504279199425500*Sqrt[42]*lu1^7*f42[t]*f44[t] + 174169474760248838520*Sqrt[42]*lu1^8*f42[t]*f44[t] + 349845467135134712160*Sqrt[42]*lu1^9*f42[t]*f44[t] - 68075981901768930240*Sqrt[42]*lu1^10*f42[t]*f44[t] - 549744285298219650240*Sqrt[42]*lu1^11*f42[t]*f44[t] - 298727564446331260800*Sqrt[42]*lu1^12*f42[t]*f44[t] - 71462972170908864000*Sqrt[42]*lu1^13*f42[t]*f44[t] - 79189496100*Sqrt[14]*f22n[t]*f44n[t] + 6481005874200*Sqrt[14]*lu1* f22n[t]*f44n[t] - 81762172832340*Sqrt[14]*lu1^2*f22n[t]*f44n[t] - 3963373868797200*Sqrt[14]*lu1^3*f22n[t]*f44n[t] + 76497579198912300*Sqrt[14]*lu1^4*f22n[t]*f44n[t] + 313443827702062200*Sqrt[14]*lu1^5*f22n[t]*f44n[t] - 4243744294337779660*Sqrt[14]*lu1^6*f22n[t]*f44n[t] - 40085583175237622880*Sqrt[14]*lu1^7*f22n[t]*f44n[t] - 175368610390468209000*Sqrt[14]*lu1^8*f22n[t]*f44n[t] - 42746672687287140000*Sqrt[14]*lu1^9*f22n[t]*f44n[t] + 463073621253291734400*Sqrt[14]*lu1^10*f22n[t]*f44n[t] + 560193287113549140480*Sqrt[14]*lu1^11*f22n[t]*f44n[t] + 268668756430797923200*Sqrt[14]*lu1^12*f22n[t]*f44n[t] + 47471593996706880000*Sqrt[14]*lu1^13*f22n[t]*f44n[t] + 236791568700*Sqrt[42]*f42n[t]*f44n[t] - 8846625121020*Sqrt[42]*lu1* f42n[t]*f44n[t] - 46069529561100*Sqrt[42]*lu1^2*f42n[t]*f44n[t] + 3750640656135060*Sqrt[42]*lu1^3*f42n[t]*f44n[t] - 32706820762738020*Sqrt[42]*lu1^4*f42n[t]*f44n[t] - 176518203833056020*Sqrt[42]*lu1^5*f42n[t]*f44n[t] + 56167913551865340*Sqrt[42]*lu1^6*f42n[t]*f44n[t] + 21184504279199425500*Sqrt[42]*lu1^7*f42n[t]*f44n[t] + 174169474760248838520*Sqrt[42]*lu1^8*f42n[t]*f44n[t] + 349845467135134712160*Sqrt[42]*lu1^9*f42n[t]*f44n[t] - 68075981901768930240*Sqrt[42]*lu1^10*f42n[t]*f44n[t] - 549744285298219650240*Sqrt[42]*lu1^11*f42n[t]*f44n[t] - 298727564446331260800*Sqrt[42]*lu1^12*f42n[t]*f44n[t] - 71462972170908864000*Sqrt[42]*lu1^13*f42n[t]*f44n[t] - 7482154680*Sqrt[3]*f42[t]*g20[t] - 266034637440*Sqrt[3]*lu1*f42[t]* g20[t] + 15676934361660*Sqrt[3]*lu1^2*f42[t]*g20[t] + 272287511315820*Sqrt[3]*lu1^3*f42[t]*g20[t] - 6783257286851760* Sqrt[3]*lu1^4*f42[t]*g20[t] - 51922792419755400*Sqrt[3]*lu1^5* f42[t]*g20[t] + 764132431696225020*Sqrt[3]*lu1^6*f42[t]*g20[t] + 1694582081127241020*Sqrt[3]*lu1^7*f42[t]*g20[t] - 18121384656579306960*Sqrt[3]*lu1^8*f42[t]*g20[t] - 34502429625624623520*Sqrt[3]*lu1^9*f42[t]*g20[t] + 74517264274553305920*Sqrt[3]*lu1^10*f42[t]*g20[t] + 185345302893686020800*Sqrt[3]*lu1^11*f42[t]*g20[t] + 75897780884269344000*Sqrt[3]*lu1^12*f42[t]*g20[t] - 22363753082711040000*Sqrt[3]*lu1^13*f42[t]*g20[t] - 18269217252*Sqrt[5]*f40[t]*g22[t] - 466271116740*Sqrt[5]*lu1*f40[t]* g22[t] + 34914207989232*Sqrt[5]*lu1^2*f40[t]*g22[t] + 491668112068848*Sqrt[5]*lu1^3*f40[t]*g22[t] - 13982562767952636* Sqrt[5]*lu1^4*f40[t]*g22[t] - 101243210118989796*Sqrt[5]*lu1^5* f40[t]*g22[t] + 1126130217057394120*Sqrt[5]*lu1^6*f40[t]*g22[t] + 6509201720015029464*Sqrt[5]*lu1^7*f40[t]*g22[t] + 12899114361416001576*Sqrt[5]*lu1^8*f40[t]*g22[t] + 2862369386098224288*Sqrt[5]*lu1^9*f40[t]*g22[t] - 26722440435569571264*Sqrt[5]*lu1^10*f40[t]*g22[t] - 42211111459628242560*Sqrt[5]*lu1^11*f40[t]*g22[t] - 24378894898383625600*Sqrt[5]*lu1^12*f40[t]*g22[t] - 2814374004746304000*Sqrt[5]*lu1^13*f40[t]*g22[t] - 64433680740*Sqrt[14]*f44[t]*g22[t] - 190594790100*Sqrt[14]*lu1* f44[t]*g22[t] + 103783329421200*Sqrt[14]*lu1^2*f44[t]*g22[t] + 375324580659600*Sqrt[14]*lu1^3*f44[t]*g22[t] - 42234737379694860* Sqrt[14]*lu1^4*f44[t]*g22[t] - 144068010741806580*Sqrt[14]*lu1^5* f44[t]*g22[t] + 3901262239623062600*Sqrt[14]*lu1^6*f44[t]*g22[t] + 29938160329546411800*Sqrt[14]*lu1^7*f44[t]*g22[t] + 51767318038556491800*Sqrt[14]*lu1^8*f44[t]*g22[t] - 65271442846431513120*Sqrt[14]*lu1^9*f44[t]*g22[t] - 187055703916930305600*Sqrt[14]*lu1^10*f44[t]*g22[t] - 37104123451699075200*Sqrt[14]*lu1^11*f44[t]*g22[t] + 101283169035992944000*Sqrt[14]*lu1^12*f44[t]*g22[t] + 43939464627938880000*Sqrt[14]*lu1^13*f44[t]*g22[t] - 361215855*g20[t]*g22[t] - 18301603320*lu1*g20[t]*g22[t] + 1130619004515*lu1^2*g20[t]*g22[t] + 11367516470310*lu1^3*g20[t]* g22[t] - 578972548459305*lu1^4*g20[t]*g22[t] + 292903324934220*lu1^5*g20[t]*g22[t] + 59810279976131685*lu1^6* g20[t]*g22[t] - 139663633038299370*lu1^7*g20[t]*g22[t] - 1499746254510984480*lu1^8*g20[t]*g22[t] + 704547720941304240*lu1^9* g20[t]*g22[t] + 16442638256842958160*lu1^10*g20[t]*g22[t] + 32188039324079839200*lu1^11*g20[t]*g22[t] + 22034224274606544000* lu1^12*g20[t]*g22[t] + 3806271958769280000*lu1^13*g20[t]*g22[t] - 64433680740*Sqrt[14]*f44n[t]*g22n[t] - 190594790100*Sqrt[14]*lu1* f44n[t]*g22n[t] + 103783329421200*Sqrt[14]*lu1^2*f44n[t]*g22n[t] + 375324580659600*Sqrt[14]*lu1^3*f44n[t]*g22n[t] - 42234737379694860*Sqrt[14]*lu1^4*f44n[t]*g22n[t] - 144068010741806580*Sqrt[14]*lu1^5*f44n[t]*g22n[t] + 3901262239623062600*Sqrt[14]*lu1^6*f44n[t]*g22n[t] + 29938160329546411800*Sqrt[14]*lu1^7*f44n[t]*g22n[t] + 51767318038556491800*Sqrt[14]*lu1^8*f44n[t]*g22n[t] - 65271442846431513120*Sqrt[14]*lu1^9*f44n[t]*g22n[t] - 187055703916930305600*Sqrt[14]*lu1^10*f44n[t]*g22n[t] - 37104123451699075200*Sqrt[14]*lu1^11*f44n[t]*g22n[t] + 101283169035992944000*Sqrt[14]*lu1^12*f44n[t]*g22n[t] + 43939464627938880000*Sqrt[14]*lu1^13*f44n[t]*g22n[t] - 5739320286*Sqrt[15]*f42[t]*g40[t] - 140755761450*Sqrt[15]*lu1* f42[t]*g40[t] - 3706321657014*Sqrt[15]*lu1^2*f42[t]*g40[t] + 326550159620874*Sqrt[15]*lu1^3*f42[t]*g40[t] + 3516704562014922*Sqrt[15]*lu1^4*f42[t]*g40[t] + 118920793102207482*Sqrt[15]*lu1^5*f42[t]*g40[t] - 32370954148074090*Sqrt[15]*lu1^6*f42[t]*g40[t] - 4856766600969633978*Sqrt[15]*lu1^7*f42[t]*g40[t] - 10908354547833667212*Sqrt[15]*lu1^8*f42[t]*g40[t] + 16299785561796354624*Sqrt[15]*lu1^9*f42[t]*g40[t] + 58586580455076533568*Sqrt[15]*lu1^10*f42[t]*g40[t] + 19013425757251119840*Sqrt[15]*lu1^11*f42[t]*g40[t] - 40254184279974974400*Sqrt[15]*lu1^12*f42[t]*g40[t] - 20028380826189792000*Sqrt[15]*lu1^13*f42[t]*g40[t] + 157308723*Sqrt[5]*g22[t]*g40[t] - 7058564370*Sqrt[5]*lu1*g22[t]* g40[t] - 191932174863*Sqrt[5]*lu1^2*g22[t]*g40[t] + 5550011083188*Sqrt[5]*lu1^3*g22[t]*g40[t] + 119238974618049*Sqrt[5]* lu1^4*g22[t]*g40[t] - 396360309428226*Sqrt[5]*lu1^5*g22[t]* g40[t] - 18365654575453185*Sqrt[5]*lu1^6*g22[t]*g40[t] + 81254338888632624*Sqrt[5]*lu1^7*g22[t]*g40[t] + 446180345024341356*Sqrt[5]*lu1^8*g22[t]*g40[t] - 922032542971446192*Sqrt[5]*lu1^9*g22[t]*g40[t] - 6600649122558629424*Sqrt[5]*lu1^10*g22[t]*g40[t] - 10840119033904617600*Sqrt[5]*lu1^11*g22[t]*g40[t] - 6540046074151761600*Sqrt[5]*lu1^12*g22[t]*g40[t] - 889126233035040000*Sqrt[5]*lu1^13*g22[t]*g40[t] + 2730811644*Sqrt[15]*f40[t]*g42[t] + 173411369100*Sqrt[15]*lu1* f40[t]*g42[t] - 13307877408204*Sqrt[15]*lu1^2*f40[t]*g42[t] + 83901958439904*Sqrt[15]*lu1^3*f40[t]*g42[t] + 2807351413329312* Sqrt[15]*lu1^4*f40[t]*g42[t] + 86521753152288372*Sqrt[15]*lu1^5* f40[t]*g42[t] + 137541318733020420*Sqrt[15]*lu1^6*f40[t]*g42[t] - 2753545689765440808*Sqrt[15]*lu1^7*f40[t]*g42[t] - 11961594361983399252*Sqrt[15]*lu1^8*f40[t]*g42[t] - 15644003671379179896*Sqrt[15]*lu1^9*f40[t]*g42[t] - 6752581814519014272*Sqrt[15]*lu1^10*f40[t]*g42[t] - 9875851222831799040*Sqrt[15]*lu1^11*f40[t]*g42[t] - 14654902760719166400*Sqrt[15]*lu1^12*f40[t]*g42[t] - 3287865988744848000*Sqrt[15]*lu1^13*f40[t]*g42[t] + 16351674120*Sqrt[42]*f44[t]*g42[t] + 564529791600*Sqrt[42]*lu1* f44[t]*g42[t] - 31336182720000*Sqrt[42]*lu1^2*f44[t]*g42[t] - 461669739868980*Sqrt[42]*lu1^3*f44[t]*g42[t] + 7874959228114620*Sqrt[42]*lu1^4*f44[t]*g42[t] + 78113643874149360*Sqrt[42]*lu1^5*f44[t]*g42[t] - 192664222309843560*Sqrt[42]*lu1^6*f44[t]*g42[t] - 2962539606979521300*Sqrt[42]*lu1^7*f44[t]*g42[t] - 3775580608571887260*Sqrt[42]*lu1^8*f44[t]*g42[t] + 18101139033216728040*Sqrt[42]*lu1^9*f44[t]*g42[t] + 49790755379149227840*Sqrt[42]*lu1^10*f44[t]*g42[t] + 30057139503824249280*Sqrt[42]*lu1^11*f44[t]*g42[t] - 16356182678869051200*Sqrt[42]*lu1^12*f44[t]*g42[t] - 15668888711264208000*Sqrt[42]*lu1^13*f44[t]*g42[t] - 480057435*Sqrt[3]*g20[t]*g42[t] - 8979836580*Sqrt[3]*lu1*g20[t]* g42[t] + 628727151195*Sqrt[3]*lu1^2*g20[t]*g42[t] + 8157061920150*Sqrt[3]*lu1^3*g20[t]*g42[t] - 63472656263445*Sqrt[3]* lu1^4*g20[t]*g42[t] + 696696739184160*Sqrt[3]*lu1^5*g20[t]* g42[t] - 20070751961695435*Sqrt[3]*lu1^6*g20[t]*g42[t] - 59010520325195010*Sqrt[3]*lu1^7*g20[t]*g42[t] + 625435928743969200*Sqrt[3]*lu1^8*g20[t]*g42[t] + 2219067501630510960*Sqrt[3]*lu1^9*g20[t]*g42[t] + 1029244444893796560*Sqrt[3]*lu1^10*g20[t]*g42[t] - 3386843811434397600*Sqrt[3]*lu1^11*g20[t]*g42[t] - 4535533709612048000*Sqrt[3]*lu1^12*g20[t]*g42[t] - 1791134585560320000*Sqrt[3]*lu1^13*g20[t]*g42[t] + 727345899*Sqrt[15]*g40[t]*g42[t] - 42758445240*Sqrt[15]*lu1*g40[t]* g42[t] + 176796498501*Sqrt[15]*lu1^2*g40[t]*g42[t] - 5433399173286*Sqrt[15]*lu1^3*g40[t]*g42[t] + 126860194273617* Sqrt[15]*lu1^4*g40[t]*g42[t] + 214987948914732*Sqrt[15]*lu1^5* g40[t]*g42[t] - 9522614416226205*Sqrt[15]*lu1^6*g40[t]*g42[t] + 5292801238043802*Sqrt[15]*lu1^7*g40[t]*g42[t] + 168306821754265068*Sqrt[15]*lu1^8*g40[t]*g42[t] + 104925104049162264*Sqrt[15]*lu1^9*g40[t]*g42[t] - 1026335524263580272*Sqrt[15]*lu1^10*g40[t]*g42[t] - 2269337287180632480*Sqrt[15]*lu1^11*g40[t]*g42[t] - 1688954400862545600*Sqrt[15]*lu1^12*g40[t]*g42[t] - 345838658735472000*Sqrt[15]*lu1^13*g40[t]*g42[t] + 16351674120*Sqrt[42]*f44n[t]*g42n[t] + 564529791600*Sqrt[42]*lu1* f44n[t]*g42n[t] - 31336182720000*Sqrt[42]*lu1^2*f44n[t]*g42n[t] - 461669739868980*Sqrt[42]*lu1^3*f44n[t]*g42n[t] + 7874959228114620*Sqrt[42]*lu1^4*f44n[t]*g42n[t] + 78113643874149360*Sqrt[42]*lu1^5*f44n[t]*g42n[t] - 192664222309843560*Sqrt[42]*lu1^6*f44n[t]*g42n[t] - 2962539606979521300*Sqrt[42]*lu1^7*f44n[t]*g42n[t] - 3775580608571887260*Sqrt[42]*lu1^8*f44n[t]*g42n[t] + 18101139033216728040*Sqrt[42]*lu1^9*f44n[t]*g42n[t] + 49790755379149227840*Sqrt[42]*lu1^10*f44n[t]*g42n[t] + 30057139503824249280*Sqrt[42]*lu1^11*f44n[t]*g42n[t] - 16356182678869051200*Sqrt[42]*lu1^12*f44n[t]*g42n[t] - 15668888711264208000*Sqrt[42]*lu1^13*f44n[t]*g42n[t] + 24821806050*Sqrt[42]*f42[t]*g44[t] + 878696922150*Sqrt[42]*lu1* f42[t]*g44[t] - 40937738471190*Sqrt[42]*lu1^2*f42[t]*g44[t] - 704317941049950*Sqrt[42]*lu1^3*f42[t]*g44[t] + 7165606079429010*Sqrt[42]*lu1^4*f42[t]*g44[t] + 45714603924230250*Sqrt[42]*lu1^5*f42[t]*g44[t] - 22751949428749050*Sqrt[42]*lu1^6*f42[t]*g44[t] - 859318695775328130*Sqrt[42]*lu1^7*f42[t]*g44[t] - 4828820422721619300*Sqrt[42]*lu1^8*f42[t]*g44[t] - 13842650199958806480*Sqrt[42]*lu1^9*f42[t]*g44[t] - 15548406890446320000*Sqrt[42]*lu1^10*f42[t]*g44[t] + 1167862523741330400*Sqrt[42]*lu1^11*f42[t]*g44[t] + 9243098840386756800*Sqrt[42]*lu1^12*f42[t]*g44[t] + 1071626126180736000*Sqrt[42]*lu1^13*f42[t]*g44[t] + 880365915*Sqrt[14]*g22[t]*g44[t] + 89522111250*Sqrt[14]*lu1*g22[t]* g44[t] - 2694701378655*Sqrt[14]*lu1^2*g22[t]*g44[t] - 67911416721720*Sqrt[14]*lu1^3*g22[t]*g44[t] + 868994384305905* Sqrt[14]*lu1^4*g22[t]*g44[t] + 1979596505124810*Sqrt[14]*lu1^5* g22[t]*g44[t] - 14748479626419825*Sqrt[14]*lu1^6*g22[t]*g44[t] - 30337905836040660*Sqrt[14]*lu1^7*g22[t]*g44[t] - 208979208774018540*Sqrt[14]*lu1^8*g22[t]*g44[t] - 492523189645584240*Sqrt[14]*lu1^9*g22[t]*g44[t] + 14055227945375760*Sqrt[14]*lu1^10*g22[t]*g44[t] - 521712522856324800*Sqrt[14]*lu1^11*g22[t]*g44[t] - 2637400237987944000*Sqrt[14]*lu1^12*g22[t]*g44[t] - 1826840134959840000*Sqrt[14]*lu1^13*g22[t]*g44[t] - 229470975*Sqrt[42]*g42[t]*g44[t] - 17315606520*Sqrt[42]*lu1*g42[t]* g44[t] + 743545041615*Sqrt[42]*lu1^2*g42[t]*g44[t] - 625308342210*Sqrt[42]*lu1^3*g42[t]*g44[t] - 128842154765325* Sqrt[42]*lu1^4*g42[t]*g44[t] + 595627266826260*Sqrt[42]*lu1^5* g42[t]*g44[t] + 5328698932088745*Sqrt[42]*lu1^6*g42[t]*g44[t] - 19026454347412770*Sqrt[42]*lu1^7*g42[t]*g44[t] - 137254230696404220*Sqrt[42]*lu1^8*g42[t]*g44[t] + 86094622366883400*Sqrt[42]*lu1^9*g42[t]*g44[t] + 1561551147723987120*Sqrt[42]*lu1^10*g42[t]*g44[t] + 3082361108311564320*Sqrt[42]*lu1^11*g42[t]*g44[t] + 2180645122005182400*Sqrt[42]*lu1^12*g42[t]*g44[t] + 438156571281072000*Sqrt[42]*lu1^13*g42[t]*g44[t] + 1430*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22[t]* (2*Sqrt[5]*(3768309 - 211213467*lu1 + 2520488742*lu1^2 + 17614023936*lu1^3 - 213511649275*lu1^4 - 880371018027*lu1^5 - 3540094590804*lu1^6 + 2510129481534*lu1^7 + 4882699712052*lu1^ 8 + 1470224823960*lu1^9 + 804678983920*lu1^10)*f40[t] + 2*Sqrt[14]*(3076515 - 226149705*lu1 + 3700452126*lu1^2 + 10922793960*lu1^3 - 216048151301*lu1^4 - 1627241268105*lu1^5 - 6618341849160*lu1^6 + 6415071264882*lu1^7 + 14475588790860*lu1^ 8 + 8796850770408*lu1^9 + 1796370069200*lu1^10)*f44[t] - (-3 + 13*lu1 + 38*lu1^2)*(33*(10971 - 446943*lu1 + 1413570* lu1^2 + 71777104*lu1^3 - 196241207*lu1^4 - 2461822301* lu1^5 - 2623483526*lu1^6 + 4312174372*lu1^7 + 3670265320* lu1^8)*g20[t] + Sqrt[5]*(300915 + 12241719*lu1 - 159272346*lu1^2 - 1026605090*lu1^3 + 4674371251*lu1^4 + 1379659327*lu1^5 + 598238644*lu1^6 - 28595313860*lu1^7 - 20990290640*lu1^8)*g40[t] + Sqrt[14]*(461457 + 18493785*lu1 - 206515086*lu1^2 - 454518766*lu1^3 + 3334966481*lu1^4 - 14970096991*lu1^5 + 7078474316*lu1^6 - 9449335996*lu1^7 - 13554732400*lu1^8)*g44[t])) - 17816854770*Sqrt[14]*f22n[t]* g44n[t] - 488364878430*Sqrt[14]*lu1*f22n[t]*g44n[t] + 30549029335110*Sqrt[14]*lu1^2*f22n[t]*g44n[t] + 414795532578570*Sqrt[14]*lu1^3*f22n[t]*g44n[t] - 8427160227979350*Sqrt[14]*lu1^4*f22n[t]*g44n[t] - 1901888081211690*Sqrt[14]*lu1^5*f22n[t]*g44n[t] + 238822554714382210*Sqrt[14]*lu1^6*f22n[t]*g44n[t] - 397563809685114930*Sqrt[14]*lu1^7*f22n[t]*g44n[t] + 10391670996289440*Sqrt[14]*lu1^8*f22n[t]*g44n[t] + 5669551547173285200*Sqrt[14]*lu1^9*f22n[t]*g44n[t] + 4094636666063829600*Sqrt[14]*lu1^10*f22n[t]*g44n[t] + 2980379310265225440*Sqrt[14]*lu1^11*f22n[t]*g44n[t] + 12262675856057369600*Sqrt[14]*lu1^12*f22n[t]*g44n[t] + 6805852825611840000*Sqrt[14]*lu1^13*f22n[t]*g44n[t] + 24821806050*Sqrt[42]*f42n[t]*g44n[t] + 878696922150*Sqrt[42]*lu1* f42n[t]*g44n[t] - 40937738471190*Sqrt[42]*lu1^2*f42n[t]*g44n[t] - 704317941049950*Sqrt[42]*lu1^3*f42n[t]*g44n[t] + 7165606079429010*Sqrt[42]*lu1^4*f42n[t]*g44n[t] + 45714603924230250*Sqrt[42]*lu1^5*f42n[t]*g44n[t] - 22751949428749050*Sqrt[42]*lu1^6*f42n[t]*g44n[t] - 859318695775328130*Sqrt[42]*lu1^7*f42n[t]*g44n[t] - 4828820422721619300*Sqrt[42]*lu1^8*f42n[t]*g44n[t] - 13842650199958806480*Sqrt[42]*lu1^9*f42n[t]*g44n[t] - 15548406890446320000*Sqrt[42]*lu1^10*f42n[t]*g44n[t] + 1167862523741330400*Sqrt[42]*lu1^11*f42n[t]*g44n[t] + 9243098840386756800*Sqrt[42]*lu1^12*f42n[t]*g44n[t] + 1071626126180736000*Sqrt[42]*lu1^13*f42n[t]*g44n[t] + 880365915*Sqrt[14]*g22n[t]*g44n[t] + 89522111250*Sqrt[14]*lu1* g22n[t]*g44n[t] - 2694701378655*Sqrt[14]*lu1^2*g22n[t]*g44n[t] - 67911416721720*Sqrt[14]*lu1^3*g22n[t]*g44n[t] + 868994384305905*Sqrt[14]*lu1^4*g22n[t]*g44n[t] + 1979596505124810*Sqrt[14]*lu1^5*g22n[t]*g44n[t] - 14748479626419825*Sqrt[14]*lu1^6*g22n[t]*g44n[t] - 30337905836040660*Sqrt[14]*lu1^7*g22n[t]*g44n[t] - 208979208774018540*Sqrt[14]*lu1^8*g22n[t]*g44n[t] - 492523189645584240*Sqrt[14]*lu1^9*g22n[t]*g44n[t] + 14055227945375760*Sqrt[14]*lu1^10*g22n[t]*g44n[t] - 521712522856324800*Sqrt[14]*lu1^11*g22n[t]*g44n[t] - 2637400237987944000*Sqrt[14]*lu1^12*g22n[t]*g44n[t] - 1826840134959840000*Sqrt[14]*lu1^13*g22n[t]*g44n[t] - 229470975*Sqrt[42]*g42n[t]*g44n[t] - 17315606520*Sqrt[42]*lu1* g42n[t]*g44n[t] + 743545041615*Sqrt[42]*lu1^2*g42n[t]*g44n[t] - 625308342210*Sqrt[42]*lu1^3*g42n[t]*g44n[t] - 128842154765325* Sqrt[42]*lu1^4*g42n[t]*g44n[t] + 595627266826260*Sqrt[42]*lu1^5* g42n[t]*g44n[t] + 5328698932088745*Sqrt[42]*lu1^6*g42n[t]* g44n[t] - 19026454347412770*Sqrt[42]*lu1^7*g42n[t]*g44n[t] - 137254230696404220*Sqrt[42]*lu1^8*g42n[t]*g44n[t] + 86094622366883400*Sqrt[42]*lu1^9*g42n[t]*g44n[t] + 1561551147723987120*Sqrt[42]*lu1^10*g42n[t]*g44n[t] + 3082361108311564320*Sqrt[42]*lu1^11*g42n[t]*g44n[t] + 2180645122005182400*Sqrt[42]*lu1^12*g42n[t]*g44n[t] + 438156571281072000*Sqrt[42]*lu1^13*g42n[t]*g44n[t]) + f22[t]*(84942*(541647 - 41838660*lu1 + 322639533*lu1^2 + 29782877622*lu1^3 - 401120277439*lu1^4 - 3846574666864*lu1^5 + 42760040119675*lu1^6 + 193094512188366*lu1^7 + 63049295137464*lu1^8 + 380243318753712*lu1^9 - 2828961912185936* lu1^10 - 6030475826112800*lu1^11 - 879262408998400*lu1^12 + 1174708328640000*lu1^13)*f22n[t]^2 - 6*(-21928248477 + 2842782170220*lu1 - 80135298036393*lu1^2 - 679667308266592*lu1^3 + 36547306087250889*lu1^4 - 79017944838097876*lu1^5 + 51248198108807125*lu1^6 - 4404449084583616736*lu1^7 - 16185511741629344504*lu1^8 + 5020327639337422088*lu1^9 + 106521722284765022176*lu1^10 + 217725582630073792160*lu1^11 + 156216791404648900800*lu1^12 + 16022109986195040000*lu1^13)*f40[t]^2 + 1525247318124*f42[t]^2 - 80921316477960*lu1*f42[t]^2 + 700559021216916*lu1^2*f42[t]^2 + 27693430064727744*lu1^3*f42[t]^2 - 590095745397722268*lu1^4* f42[t]^2 - 107236987690403688*lu1^5*f42[t]^2 - 837326523623830260*lu1^6*f42[t]^2 + 171432598111137720432*lu1^7* f42[t]^2 + 1165975825609550309328*lu1^8*f42[t]^2 + 1920214416286639460544*lu1^9*f42[t]^2 - 1567662965736489035712* lu1^10*f42[t]^2 - 5652614507267124168960*lu1^11*f42[t]^2 - 3591538717728152352000*lu1^12*f42[t]^2 - 587447200768401792000* lu1^13*f42[t]^2 - 854368818876*f42n[t]^2 + 13155987884040*lu1* f42n[t]^2 + 930848353418916*lu1^2*f42n[t]^2 - 16802893504498056* lu1^3*f42n[t]^2 + 80597037988025532*lu1^4*f42n[t]^2 - 52383528929034888*lu1^5*f42n[t]^2 - 9227660938063882260*lu1^6* f42n[t]^2 + 43515349425204219432*lu1^7*f42n[t]^2 + 66968367837127471728*lu1^8*f42n[t]^2 + 140997593504843250144*lu1^9* f42n[t]^2 + 218140930633083141888*lu1^10*f42n[t]^2 - 1774241566020935592960*lu1^11*f42n[t]^2 - 2460116230643822016000* lu1^12*f42n[t]^2 - 83507919397523712000*lu1^13*f42n[t]^2 + 1821468659724*f44[t]^2 - 83365061386320*lu1*f44[t]^2 + 255123042787116*lu1^2*f44[t]^2 + 21044422593115824*lu1^3*f44[t]^2 - 60997213484093628*lu1^4*f44[t]^2 - 3193142225416464048*lu1^5* f44[t]^2 - 13810194770423674140*lu1^6*f44[t]^2 + 339558260660171544432*lu1^7*f44[t]^2 + 2469347275006658006688*lu1^8* f44[t]^2 + 5252071453416070595424*lu1^9*f44[t]^2 + 183309187314290515968*lu1^10*f44[t]^2 - 9084056740558096913280* lu1^11*f44[t]^2 - 7082930732621564486400*lu1^12*f44[t]^2 - 1033881897559964544000*lu1^13*f44[t]^2 + 1821468659724*f44n[t]^2 - 83365061386320*lu1*f44n[t]^2 + 255123042787116*lu1^2*f44n[t]^2 + 21044422593115824*lu1^3*f44n[t]^2 - 60997213484093628*lu1^4* f44n[t]^2 - 3193142225416464048*lu1^5*f44n[t]^2 - 13810194770423674140*lu1^6*f44n[t]^2 + 339558260660171544432*lu1^7* f44n[t]^2 + 2469347275006658006688*lu1^8*f44n[t]^2 + 5252071453416070595424*lu1^9*f44n[t]^2 + 183309187314290515968* lu1^10*f44n[t]^2 - 9084056740558096913280*lu1^11*f44n[t]^2 - 7082930732621564486400*lu1^12*f44n[t]^2 - 1033881897559964544000* lu1^13*f44n[t]^2 - 35203864410*Sqrt[14]*f44[t]*g20[t] - 497470274730*Sqrt[14]*lu1*f44[t]*g20[t] + 61750125161010*Sqrt[14]* lu1^2*f44[t]*g20[t] + 572272529593050*Sqrt[14]*lu1^3*f44[t]* g20[t] - 24645259161438630*Sqrt[14]*lu1^4*f44[t]*g20[t] - 136609619124311190*Sqrt[14]*lu1^5*f44[t]*g20[t] + 2000912115379395790*Sqrt[14]*lu1^6*f44[t]*g20[t] + 14773751191841769270*Sqrt[14]*lu1^7*f44[t]*g20[t] + 38126414789698778400*Sqrt[14]*lu1^8*f44[t]*g20[t] + 4511315833827213840*Sqrt[14]*lu1^9*f44[t]*g20[t] - 117425608660971193440*Sqrt[14]*lu1^10*f44[t]*g20[t] - 154712571634303082400*Sqrt[14]*lu1^11*f44[t]*g20[t] - 43101716806115968000*Sqrt[14]*lu1^12*f44[t]*g20[t] + 18648775192407360000*Sqrt[14]*lu1^13*f44[t]*g20[t] + 516022650*g20[t]^2 - 43460574300*lu1*g20[t]^2 + 363146161950*lu1^2*g20[t]^2 + 32208171652800*lu1^3*g20[t]^2 - 420477159638250*lu1^4*g20[t]^2 - 4649389467079500*lu1^5*g20[t]^2 + 50833794510577650*lu1^6*g20[t]^2 + 262153040294831400*lu1^7* g20[t]^2 - 1068885317279894400*lu1^8*g20[t]^2 - 6066972523229904000*lu1^9*g20[t]^2 - 6997994500171989600*lu1^10* g20[t]^2 + 4034754640124208000*lu1^11*g20[t]^2 + 12662525400027360000*lu1^12*g20[t]^2 + 6741141770563200000*lu1^13* g20[t]^2 - 137838163320*Sqrt[3]*f42[t]*g22[t] - 1094776511400*Sqrt[3]*lu1*f42[t]*g22[t] + 231162562350720*Sqrt[3]* lu1^2*f42[t]*g22[t] + 1444987821214080*Sqrt[3]*lu1^3*f42[t]* g22[t] - 93695500246079160*Sqrt[3]*lu1^4*f42[t]*g22[t] - 408852034767993960*Sqrt[3]*lu1^5*f42[t]*g22[t] + 8378987427800761200*Sqrt[3]*lu1^6*f42[t]*g22[t] + 60745603415935735440*Sqrt[3]*lu1^7*f42[t]*g22[t] + 107777387333287488960*Sqrt[3]*lu1^8*f42[t]*g22[t] - 104015122433888814720*Sqrt[3]*lu1^9*f42[t]*g22[t] - 356296907254166461440*Sqrt[3]*lu1^10*f42[t]*g22[t] - 132192058185545529600*Sqrt[3]*lu1^11*f42[t]*g22[t] + 128173790229348864000*Sqrt[3]*lu1^12*f42[t]*g22[t] + 68541817705320960000*Sqrt[3]*lu1^13*f42[t]*g22[t] + 309613590*g22[t]^2 - 123524355240*lu1*g22[t]^2 + 2987530332930*lu1^2*g22[t]^2 + 87151376246220*lu1^3*g22[t]^2 - 1998899416195110*lu1^4*g22[t]^2 - 8712972284290560*lu1^5*g22[t]^2 + 221288148973418670*lu1^6*g22[t]^2 + 244978814513064060*lu1^7* g22[t]^2 - 5137263143581757760*lu1^8*g22[t]^2 - 10724849604577199520*lu1^9*g22[t]^2 + 18889287513341937120*lu1^10* g22[t]^2 + 72445587928408094400*lu1^11*g22[t]^2 + 69393499349267808000*lu1^12*g22[t]^2 + 21094827458664960000*lu1^13* g22[t]^2 - 67430434500*Sqrt[3]*f42n[t]*g22n[t] - 99835961940*Sqrt[3]*lu1*f42n[t]*g22n[t] + 107662312028700*Sqrt[3]* lu1^2*f42n[t]*g22n[t] + 300442762027980*Sqrt[3]*lu1^3*f42n[t]* g22n[t] - 44404981923201900*Sqrt[3]*lu1^4*f42n[t]*g22n[t] - 135632796519371580*Sqrt[3]*lu1^5*f42n[t]*g22n[t] + 4377163197041969620*Sqrt[3]*lu1^6*f42n[t]*g22n[t] + 31198101032252196900*Sqrt[3]*lu1^7*f42n[t]*g22n[t] + 31524557753889932160*Sqrt[3]*lu1^8*f42n[t]*g22n[t] - 113037754101543242400*Sqrt[3]*lu1^9*f42n[t]*g22n[t] - 121445689932224074560*Sqrt[3]*lu1^10*f42n[t]*g22n[t] + 177233085083060635200*Sqrt[3]*lu1^11*f42n[t]*g22n[t] + 214377223841580800000*Sqrt[3]*lu1^12*f42n[t]*g22n[t] + 31244267320506240000*Sqrt[3]*lu1^13*f42n[t]*g22n[t] + 3852969120*g22n[t]^2 - 198481423140*lu1*g22n[t]^2 - 717223066560*lu1^2*g22n[t]^2 + 140594801567220*lu1^3*g22n[t]^2 - 841258756217880*lu1^4*g22n[t]^2 - 17578002079938300*lu1^5* g22n[t]^2 + 70903073024703920*lu1^6*g22n[t]^2 + 479304129498574380*lu1^7*g22n[t]^2 + 690613854111821640*lu1^8* g22n[t]^2 - 5331629497848413760*lu1^9*g22n[t]^2 - 35053221649602636480*lu1^10*g22n[t]^2 - 77474966227495636800*lu1^11* g22n[t]^2 - 70199414039426672000*lu1^12*g22n[t]^2 - 21194241366217920000*lu1^13*g22n[t]^2 + 15816118644*Sqrt[70]*f44[t]* g40[t] + 537128066700*Sqrt[70]*lu1*f44[t]*g40[t] - 24975945563544*Sqrt[70]*lu1^2*f44[t]*g40[t] - 488551895102196* Sqrt[70]*lu1^3*f44[t]*g40[t] + 4849704993410832*Sqrt[70]*lu1^4* f44[t]*g40[t] + 20755274642580372*Sqrt[70]*lu1^5*f44[t]*g40[t] - 93927359975090520*Sqrt[70]*lu1^6*f44[t]*g40[t] - 481907827191184188*Sqrt[70]*lu1^7*f44[t]*g40[t] - 367906773007931652*Sqrt[70]*lu1^8*f44[t]*g40[t] + 1514960576169573744*Sqrt[70]*lu1^9*f44[t]*g40[t] + 6361630853193900528*Sqrt[70]*lu1^10*f44[t]*g40[t] + 10567178943534677280*Sqrt[70]*lu1^11*f44[t]*g40[t] + 4196229440655907200*Sqrt[70]*lu1^12*f44[t]*g40[t] - 2559442617539472000*Sqrt[70]*lu1^13*f44[t]*g40[t] + 380918538*Sqrt[5]*g20[t]*g40[t] + 64416306240*Sqrt[5]*lu1*g20[t]* g40[t] - 1658679414678*Sqrt[5]*lu1^2*g20[t]*g40[t] - 48242534352012*Sqrt[5]*lu1^3*g20[t]*g40[t] + 590199716443194* Sqrt[5]*lu1^4*g20[t]*g40[t] + 1932135825792744*Sqrt[5]*lu1^5* g20[t]*g40[t] - 16505322056799290*Sqrt[5]*lu1^6*g20[t]*g40[t] - 72572274261786156*Sqrt[5]*lu1^7*g20[t]*g40[t] + 44438471535385356*Sqrt[5]*lu1^8*g20[t]*g40[t] + 970649494323928848*Sqrt[5]*lu1^9*g20[t]*g40[t] + 2175325924045587456*Sqrt[5]*lu1^10*g20[t]*g40[t] + 625323460616712000*Sqrt[5]*lu1^11*g20[t]*g40[t] - 2610805514759041600*Sqrt[5]*lu1^12*g20[t]*g40[t] - 2043415835741280000*Sqrt[5]*lu1^13*g20[t]*g40[t] + 2294362017*g40[t]^2 - 186654809970*lu1*g40[t]^2 + 1134323554743*lu1^2*g40[t]^2 + 72028911364812*lu1^3*g40[t]^2 - 391785281030349*lu1^4*g40[t]^2 - 3813799243404474*lu1^5*g40[t]^2 + 6381891839794305*lu1^6*g40[t]^2 + 134075514713571336*lu1^7* g40[t]^2 + 101405247384196644*lu1^8*g40[t]^2 - 1550654027095345608*lu1^9*g40[t]^2 - 3852707646998808336*lu1^10* g40[t]^2 - 1384644661421217600*lu1^11*g40[t]^2 + 3192620210408337600*lu1^12*g40[t]^2 + 2098726819497840000*lu1^13* g40[t]^2 + 130555769220*f42[t]*g42[t] + 19066341373740*lu1*f42[t]* g42[t] - 445331747703420*lu1^2*f42[t]*g42[t] - 12052206962100180*lu1^3*f42[t]*g42[t] + 56508900267178140*lu1^4* f42[t]*g42[t] + 440447849743473300*lu1^5*f42[t]*g42[t] + 1734974842928925420*lu1^6*f42[t]*g42[t] - 22804062877959322140* lu1^7*f42[t]*g42[t] - 38792213395497326160*lu1^8*f42[t]*g42[t] + 243260553356279092080*lu1^9*f42[t]*g42[t] + 611141593484439721920* lu1^10*f42[t]*g42[t] + 211989408029631142080*lu1^11*f42[t]* g42[t] - 360699701475665260800*lu1^12*f42[t]*g42[t] - 204676863775463520000*lu1^13*f42[t]*g42[t] + 1729457730*Sqrt[3]* g22[t]*g42[t] + 137439244800*Sqrt[3]*lu1*g22[t]*g42[t] - 4811055922530*Sqrt[3]*lu1^2*g22[t]*g42[t] - 103935676064220*Sqrt[3]* lu1^3*g22[t]*g42[t] + 1647055598206590*Sqrt[3]*lu1^4*g22[t]* g42[t] + 2638726992827640*Sqrt[3]*lu1^5*g22[t]*g42[t] - 55190223669788350*Sqrt[3]*lu1^6*g22[t]*g42[t] + 84860721754319940*Sqrt[3]*lu1^7*g22[t]*g42[t] + 395335227083871360*Sqrt[3]*lu1^8*g22[t]*g42[t] - 2357592887695050720*Sqrt[3]*lu1^9*g22[t]*g42[t] - 10977656491022089440*Sqrt[3]*lu1^10*g22[t]*g42[t] - 18936385927934904000*Sqrt[3]*lu1^11*g22[t]*g42[t] - 15295743853566176000*Sqrt[3]*lu1^12*g22[t]*g42[t] - 4526610613324800000*Sqrt[3]*lu1^13*g22[t]*g42[t] + 3565837890*g42[t]^2 - 474906165480*lu1*g42[t]^2 + 6216457702590*lu1^2*g42[t]^2 + 139416604139700*lu1^3*g42[t]^2 - 1428276826010250*lu1^4*g42[t]^2 - 4446808348742400*lu1^5*g42[t]^2 + 38358799468997970*lu1^6*g42[t]^2 + 169585344412736580*lu1^7* g42[t]^2 - 475697510949162600*lu1^8*g42[t]^2 - 2623080010752262800*lu1^9*g42[t]^2 + 236144350487420640*lu1^10* g42[t]^2 + 12845772173998119360*lu1^11*g42[t]^2 + 17411388711128246400*lu1^12*g42[t]^2 + 6411315973537440000*lu1^13* g42[t]^2 - 343927790100*f42n[t]*g42n[t] + 2952499372740*lu1* f42n[t]*g42n[t] + 303946619202900*lu1^2*f42n[t]*g42n[t] + 2604349890965700*lu1^3*f42n[t]*g42n[t] - 88982249535146820*lu1^4* f42n[t]*g42n[t] - 182210389533937860*lu1^5*f42n[t]*g42n[t] + 4552795642181641020*lu1^6*f42n[t]*g42n[t] - 8346828062223796500* lu1^7*f42n[t]*g42n[t] - 27755010205259376600*lu1^8*f42n[t]* g42n[t] + 197811736071191879760*lu1^9*f42n[t]*g42n[t] + 420292667888622706080*lu1^10*f42n[t]*g42n[t] - 105025960276409176320*lu1^11*f42n[t]*g42n[t] - 486586584695342476800*lu1^12*f42n[t]*g42n[t] - 127893585249279360000*lu1^13*f42n[t]*g42n[t] + 415945530*Sqrt[3]* g22n[t]*g42n[t] + 101344763520*Sqrt[3]*lu1*g22n[t]*g42n[t] - 2355147644850*Sqrt[3]*lu1^2*g22n[t]*g42n[t] - 75697933491180* Sqrt[3]*lu1^3*g22n[t]*g42n[t] + 850988313245070*Sqrt[3]*lu1^4* g22n[t]*g42n[t] + 3336526253019960*Sqrt[3]*lu1^5*g22n[t]*g42n[t] - 21972599379640910*Sqrt[3]*lu1^6*g22n[t]*g42n[t] - 162116692874436300*Sqrt[3]*lu1^7*g22n[t]*g42n[t] + 9809897653996440*Sqrt[3]*lu1^8*g22n[t]*g42n[t] + 2412817566186867840*Sqrt[3]*lu1^9*g22n[t]*g42n[t] + 6546183146295592800*Sqrt[3]*lu1^10*g22n[t]*g42n[t] + 5037924106820404800*Sqrt[3]*lu1^11*g22n[t]*g42n[t] - 2162462258804848000*Sqrt[3]*lu1^12*g22n[t]*g42n[t] - 3181509548817600000*Sqrt[3]*lu1^13*g22n[t]*g42n[t] + 8874933480*g42n[t]^2 - 440449761780*lu1*g42n[t]^2 - 1485437146200*lu1^2*g42n[t]^2 + 126076076089740*lu1^3*g42n[t]^2 + 496923143625720*lu1^4*g42n[t]^2 - 10341410292107580*lu1^5* g42n[t]^2 - 57298867577848680*lu1^6*g42n[t]^2 + 403480960463794500*lu1^7*g42n[t]^2 + 1699563165963878880*lu1^8* g42n[t]^2 - 3198175372195342560*lu1^9*g42n[t]^2 - 21180064277395860480*lu1^10*g42n[t]^2 - 30340805121434351040*lu1^11* g42n[t]^2 - 13454447914664601600*lu1^12*g42n[t]^2 + 185159576367360000*lu1^13*g42n[t]^2 + 2860*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]* (6*Sqrt[3]*(875835 - 46106535*lu1 + 494555088*lu1^2 + 4285962540*lu1^3 - 47306116393*lu1^4 - 154145212335*lu1^5 - 615673950270*lu1^6 + 340865341266*lu1^7 + 552106098300*lu1^8 - 80318147256*lu1^9 + 123723602800*lu1^10)*f42n[t] - 22*(-50193 + 3125043*lu1 - 26219292*lu1^2 - 603845325*lu1^3 + 4042597997*lu1^4 + 43766593929*lu1^5 + 34491900486*lu1^6 - 245468802339*lu1^7 - 430096382790*lu1^8 + 320080476924*lu1^9 + 332981749240*lu1^10)*g22n[t] + 3*Sqrt[3]*(173853 + 6365772*lu1 - 131359497*lu1^2 - 443926470*lu1^3 + 7963634927*lu1^4 - 949507344*lu1^5 - 58775153991*lu1^6 - 65469222414*lu1^7 + 89832252900*lu1^8 + 347899568664*lu1^9 + 192948632800*lu1^10)*g42n[t]) + 80872480080*f44[t]*g44[t] + 18188018886240*lu1*f44[t]*g44[t] - 497465050967640*lu1^2*f44[t]* g44[t] - 8612390463531120*lu1^3*f44[t]*g44[t] + 84753826132421880*lu1^4*f44[t]*g44[t] + 1631592577985287680*lu1^5* f44[t]*g44[t] + 2553851750388784440*lu1^6*f44[t]*g44[t] - 67502120967987402480*lu1^7*f44[t]*g44[t] - 175276093308383861640* lu1^8*f44[t]*g44[t] + 244165323546442992960*lu1^9*f44[t]*g44[t] + 909422323621397036640*lu1^10*f44[t]*g44[t] + 245680497349077712320* lu1^11*f44[t]*g44[t] - 698546682601141920000*lu1^12*f44[t]* g44[t] - 339455459429992416000*lu1^13*f44[t]*g44[t] + 656756100*Sqrt[14]*g20[t]*g44[t] + 18047240640*Sqrt[14]*lu1*g20[t]* g44[t] - 1227954138840*Sqrt[14]*lu1^2*g20[t]*g44[t] - 14118871286520*Sqrt[14]*lu1^3*g20[t]*g44[t] + 398033642480760* Sqrt[14]*lu1^4*g20[t]*g44[t] - 348899630096160*Sqrt[14]*lu1^5* g20[t]*g44[t] - 16608812145073720*Sqrt[14]*lu1^6*g20[t]*g44[t] + 123488707314378120*Sqrt[14]*lu1^7*g20[t]*g44[t] + 192762664714937460*Sqrt[14]*lu1^8*g20[t]*g44[t] - 2385205226940959280*Sqrt[14]*lu1^9*g20[t]*g44[t] - 8761919818658841120*Sqrt[14]*lu1^10*g20[t]*g44[t] - 11987155017377654400*Sqrt[14]*lu1^11*g20[t]*g44[t] - 6566640797380664000*Sqrt[14]*lu1^12*g20[t]*g44[t] - 672550532253600000*Sqrt[14]*lu1^13*g20[t]*g44[t] - 353939706*Sqrt[70]*g40[t]*g44[t] - 2297093580*Sqrt[70]*lu1*g40[t]* g44[t] + 513459656586*Sqrt[70]*lu1^2*g40[t]*g44[t] + 889368536664*Sqrt[70]*lu1^3*g40[t]*g44[t] - 128346664642398* Sqrt[70]*lu1^4*g40[t]*g44[t] + 392973462891012*Sqrt[70]*lu1^5* g40[t]*g44[t] + 6377177803123110*Sqrt[70]*lu1^6*g40[t]*g44[t] - 15593041070070528*Sqrt[70]*lu1^7*g40[t]*g44[t] - 145017378460869432*Sqrt[70]*lu1^8*g40[t]*g44[t] + 38339690762871984*Sqrt[70]*lu1^9*g40[t]*g44[t] + 1427747241858885408*Sqrt[70]*lu1^10*g40[t]*g44[t] + 2879105153028831360*Sqrt[70]*lu1^11*g40[t]*g44[t] + 2057722441719523200*Sqrt[70]*lu1^12*g40[t]*g44[t] + 415077093144672000*Sqrt[70]*lu1^13*g40[t]*g44[t] + 8283852990*g44[t]^2 - 729159743340*lu1*g44[t]^2 + 6763777037010*lu1^2*g44[t]^2 + 105926840563320*lu1^3*g44[t]^2 - 538768995726150*lu1^4*g44[t]^2 - 3549854118145020*lu1^5*g44[t]^2 - 25154064831482370*lu1^6*g44[t]^2 + 216935192911069920*lu1^7* g44[t]^2 + 679160798037297240*lu1^8*g44[t]^2 - 2031869077220161200*lu1^9*g44[t]^2 - 7349616036952946400*lu1^10* g44[t]^2 - 3649356702114506880*lu1^11*g44[t]^2 + 5219939864233449600*lu1^12*g44[t]^2 + 3921206927979936000*lu1^13* g44[t]^2 - 2*f40[t]*(60*Sqrt[70]*(-1322008965 + 52265169090*lu1 + 127938517890*lu1^2 - 24720179760681*lu1^3 + 372607101880971*lu1^ 4 + 30474143756316*lu1^5 - 4661296896911140*lu1^6 - 71065138158851945*lu1^7 - 610559698762457132*lu1^8 - 988453790434331228*lu1^9 + 992113275760873432*lu1^10 + 2154651634025660320*lu1^11 + 628568048380183520*lu1^12 + 279966267428265600*lu1^13)*f44[t] - 143*Sqrt[5]* (-166080537 - 557327385*lu1 + 269046895977*lu1^2 + 1030490080893*lu1^3 - 110391751700031*lu1^4 - 380075530547151* lu1^5 + 10582099095458255*lu1^6 + 75781856145872979*lu1^7 + 92797264371586416*lu1^8 - 233987375154407352*lu1^9 - 336896977942407984*lu1^10 + 263627051478936240*lu1^11 + 419601366936102400*lu1^12 + 78588515492256000*lu1^13)*g20[t] + 6*(-3 + 13*lu1 + 38*lu1^2)*((-1178512146 + 154354742154*lu1 - 202169933451*lu1^2 - 82717918905323*lu1^3 - 694825712069862* lu1^4 - 7683825721792988*lu1^5 - 2658576683289255*lu1^6 - 120470190267695091*lu1^7 - 387679750728233598*lu1^8 - 140074364476056880*lu1^9 + 293661526082379000*lu1^10 + 134004576206186000*lu1^11)*g40[t] + Sqrt[70]*(439336629 + 16824016134*lu1 - 615307265106*lu1^2 - 16024113252823*lu1^3 + 57482311474503*lu1^4 + 622653321925432*lu1^5 + 817180341045840*lu1^6 - 1958271644167671*lu1^7 - 8354525388366258*lu1^8 - 18925479282111680*lu1^9 - 11122430330848200*lu1^10 + 5612812757762000*lu1^11)*g44[ t])) + 80872480080*f44n[t]*g44n[t] + 18188018886240*lu1* f44n[t]*g44n[t] - 497465050967640*lu1^2*f44n[t]*g44n[t] - 8612390463531120*lu1^3*f44n[t]*g44n[t] + 84753826132421880*lu1^4* f44n[t]*g44n[t] + 1631592577985287680*lu1^5*f44n[t]*g44n[t] + 2553851750388784440*lu1^6*f44n[t]*g44n[t] - 67502120967987402480* lu1^7*f44n[t]*g44n[t] - 175276093308383861640*lu1^8*f44n[t]* g44n[t] + 244165323546442992960*lu1^9*f44n[t]*g44n[t] + 909422323621397036640*lu1^10*f44n[t]*g44n[t] + 245680497349077712320*lu1^11*f44n[t]*g44n[t] - 698546682601141920000*lu1^12*f44n[t]*g44n[t] - 339455459429992416000*lu1^13*f44n[t]*g44n[t] + 8283852990*g44n[t]^2 - 729159743340*lu1*g44n[t]^2 + 6763777037010*lu1^2*g44n[t]^2 + 105926840563320*lu1^3*g44n[t]^2 - 538768995726150*lu1^4*g44n[t]^2 - 3549854118145020*lu1^5* g44n[t]^2 - 25154064831482370*lu1^6*g44n[t]^2 + 216935192911069920*lu1^7*g44n[t]^2 + 679160798037297240*lu1^8* g44n[t]^2 - 2031869077220161200*lu1^9*g44n[t]^2 - 7349616036952946400*lu1^10*g44n[t]^2 - 3649356702114506880*lu1^11* g44n[t]^2 + 5219939864233449600*lu1^12*g44n[t]^2 + 3921206927979936000*lu1^13*g44n[t]^2)))/ (462462*(-3 + 13*lu1 + 38*lu1^2)^3*(-1 + 7*lu1 + 170*lu1^2)^2* (-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*Pi) + (-6006*cap*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (924*(-3 + 43*lu1 + 355*lu1^2 - 3847*lu1^3 + 968*lu1^4 + 19380*lu1^5)* Sqrt[Pi]*f22[t] + 11836*f22[t]*f40[t] - 88726*lu1*f22[t]*f40[t] - 504240*lu1^2*f22[t]*f40[t] - 6578726*lu1^3*f22[t]*f40[t] + 5693864*lu1^4*f22[t]*f40[t] + 10387080*lu1^5*f22[t]*f40[t] - 224100*Sqrt[3]*f40[t]*f42[t] + 1375020*Sqrt[3]*lu1*f40[t]*f42[t] - 3725280*Sqrt[3]*lu1^2*f40[t]*f42[t] + 16609140*Sqrt[3]*lu1^3*f40[t]* f42[t] + 57216060*Sqrt[3]*lu1^4*f40[t]*f42[t] - 10978200*Sqrt[3]*lu1^5*f40[t]*f42[t] + 11836*Sqrt[70]*f22[t]* f44[t] - 88726*Sqrt[70]*lu1*f22[t]*f44[t] - 504240*Sqrt[70]*lu1^2* f22[t]*f44[t] - 6578726*Sqrt[70]*lu1^3*f22[t]*f44[t] + 5693864*Sqrt[70]*lu1^4*f22[t]*f44[t] + 10387080*Sqrt[70]*lu1^5* f22[t]*f44[t] - 14940*Sqrt[210]*f42[t]*f44[t] + 91668*Sqrt[210]*lu1*f42[t]*f44[t] - 248352*Sqrt[210]*lu1^2*f42[t]* f44[t] + 1107276*Sqrt[210]*lu1^3*f42[t]*f44[t] + 3814404*Sqrt[210]*lu1^4*f42[t]*f44[t] - 731880*Sqrt[210]*lu1^5* f42[t]*f44[t] + 11836*Sqrt[70]*f22n[t]*f44n[t] - 88726*Sqrt[70]*lu1*f22n[t]*f44n[t] - 504240*Sqrt[70]*lu1^2*f22n[t]* f44n[t] - 6578726*Sqrt[70]*lu1^3*f22n[t]*f44n[t] + 5693864*Sqrt[70]*lu1^4*f22n[t]*f44n[t] + 10387080*Sqrt[70]*lu1^5* f22n[t]*f44n[t] - 14940*Sqrt[210]*f42n[t]*f44n[t] + 91668*Sqrt[210]*lu1*f42n[t]*f44n[t] - 248352*Sqrt[210]*lu1^2*f42n[t]* f44n[t] + 1107276*Sqrt[210]*lu1^3*f42n[t]*f44n[t] + 3814404*Sqrt[210]*lu1^4*f42n[t]*f44n[t] - 731880*Sqrt[210]*lu1^5* f42n[t]*f44n[t] + 198*Sqrt[5]*f22[t]*g20[t] - 2838*Sqrt[5]*lu1*f22[t]*g20[t] - 23430*Sqrt[5]*lu1^2*f22[t]*g20[t] + 253902*Sqrt[5]*lu1^3*f22[t]*g20[t] - 63888*Sqrt[5]*lu1^4*f22[t]* g20[t] - 1279080*Sqrt[5]*lu1^5*f22[t]*g20[t] - 1485*Sqrt[15]*f42[t]*g20[t] + 20295*Sqrt[15]*lu1*f42[t]*g20[t] - 54615*Sqrt[15]*lu1^2*f42[t]*g20[t] - 211695*Sqrt[15]*lu1^3*f42[t]* g20[t] + 576840*Sqrt[15]*lu1^4*f42[t]*g20[t] + 1191300*Sqrt[15]*lu1^5*f42[t]*g20[t] - 1485*f40[t]*g22[t] + 20295*lu1*f40[t]*g22[t] - 54615*lu1^2*f40[t]*g22[t] - 211695*lu1^3*f40[t]*g22[t] + 576840*lu1^4*f40[t]*g22[t] + 1191300*lu1^5*f40[t]*g22[t] - 1485*Sqrt[70]*f44[t]*g22[t] + 20295*Sqrt[70]*lu1*f44[t]*g22[t] - 54615*Sqrt[70]*lu1^2*f44[t]* g22[t] - 211695*Sqrt[70]*lu1^3*f44[t]*g22[t] + 576840*Sqrt[70]*lu1^4*f44[t]*g22[t] + 1191300*Sqrt[70]*lu1^5*f44[t]* g22[t] - 1485*Sqrt[70]*f44n[t]*g22n[t] + 20295*Sqrt[70]*lu1*f44n[t]* g22n[t] - 54615*Sqrt[70]*lu1^2*f44n[t]*g22n[t] - 211695*Sqrt[70]*lu1^3*f44n[t]*g22n[t] + 576840*Sqrt[70]*lu1^4* f44n[t]*g22n[t] + 1191300*Sqrt[70]*lu1^5*f44n[t]*g22n[t] + 132*f22[t]*g40[t] - 1892*lu1*f22[t]*g40[t] - 15620*lu1^2*f22[t]* g40[t] + 169268*lu1^3*f22[t]*g40[t] - 42592*lu1^4*f22[t]*g40[t] - 852720*lu1^5*f22[t]*g40[t] + 1215*Sqrt[3]*f42[t]*g40[t] - 16605*Sqrt[3]*lu1*f42[t]*g40[t] + 44685*Sqrt[3]*lu1^2*f42[t]* g40[t] + 173205*Sqrt[3]*lu1^3*f42[t]*g40[t] - 471960*Sqrt[3]*lu1^4* f42[t]*g40[t] - 974700*Sqrt[3]*lu1^5*f42[t]*g40[t] + 1215*Sqrt[3]*f40[t]*g42[t] - 16605*Sqrt[3]*lu1*f40[t]*g42[t] + 44685*Sqrt[3]*lu1^2*f40[t]*g42[t] + 173205*Sqrt[3]*lu1^3*f40[t]* g42[t] - 471960*Sqrt[3]*lu1^4*f40[t]*g42[t] - 974700*Sqrt[3]*lu1^5* f40[t]*g42[t] + 81*Sqrt[210]*f44[t]*g42[t] - 1107*Sqrt[210]*lu1* f44[t]*g42[t] + 2979*Sqrt[210]*lu1^2*f44[t]*g42[t] + 11547*Sqrt[210]*lu1^3*f44[t]*g42[t] - 31464*Sqrt[210]*lu1^4*f44[t]* g42[t] - 64980*Sqrt[210]*lu1^5*f44[t]*g42[t] + 22*Sqrt[5]*f20[t]*(30*(-15 + 157*lu1 + 1969*lu1^2 - 7333*lu1^3 + 36974*lu1^4 + 2040*lu1^5)*f22[t] + Sqrt[3]*(538 - 4033*lu1 - 22920*lu1^2 - 299033*lu1^3 + 258812*lu1^4 + 472140*lu1^5)* f42[t] - (-3 + 43*lu1 + 355*lu1^2 - 3847*lu1^3 + 968*lu1^4 + 19380*lu1^5)*(3*g22[t] + 2*Sqrt[3]*g42[t])) + 81*Sqrt[210]*f44n[t]*g42n[t] - 1107*Sqrt[210]*lu1*f44n[t]*g42n[t] + 2979*Sqrt[210]*lu1^2*f44n[t]*g42n[t] + 11547*Sqrt[210]*lu1^3*f44n[t]* g42n[t] - 31464*Sqrt[210]*lu1^4*f44n[t]*g42n[t] - 64980*Sqrt[210]*lu1^5*f44n[t]*g42n[t] + 132*Sqrt[70]*f22[t]*g44[t] - 1892*Sqrt[70]*lu1*f22[t]*g44[t] - 15620*Sqrt[70]*lu1^2*f22[t]* g44[t] + 169268*Sqrt[70]*lu1^3*f22[t]*g44[t] - 42592*Sqrt[70]*lu1^4*f22[t]*g44[t] - 852720*Sqrt[70]*lu1^5*f22[t]* g44[t] + 81*Sqrt[210]*f42[t]*g44[t] - 1107*Sqrt[210]*lu1*f42[t]* g44[t] + 2979*Sqrt[210]*lu1^2*f42[t]*g44[t] + 11547*Sqrt[210]*lu1^3* f42[t]*g44[t] - 31464*Sqrt[210]*lu1^4*f42[t]*g44[t] - 64980*Sqrt[210]*lu1^5*f42[t]*g44[t] + 132*Sqrt[70]*f22n[t]*g44n[t] - 1892*Sqrt[70]*lu1*f22n[t]*g44n[t] - 15620*Sqrt[70]*lu1^2*f22n[t]* g44n[t] + 169268*Sqrt[70]*lu1^3*f22n[t]*g44n[t] - 42592*Sqrt[70]*lu1^4*f22n[t]*g44n[t] - 852720*Sqrt[70]*lu1^5*f22n[t]* g44n[t] + 81*Sqrt[210]*f42n[t]*g44n[t] - 1107*Sqrt[210]*lu1*f42n[t]* g44n[t] + 2979*Sqrt[210]*lu1^2*f42n[t]*g44n[t] + 11547*Sqrt[210]*lu1^3*f42n[t]*g44n[t] - 31464*Sqrt[210]*lu1^4* f42n[t]*g44n[t] - 64980*Sqrt[210]*lu1^5*f42n[t]*g44n[t]) + 1001*(3 + 8*lu1 + 4*lu1^2)*mar*Sqrt[Pi]*(35706*f22[t]*f40[t] - 966306*lu1*f22[t]*f40[t] + 6250750*lu1^2*f22[t]*f40[t] + 25748954*lu1^3*f22[t]*f40[t] + 124591544*lu1^4*f22[t]*f40[t] - 12923240*lu1^5*f22[t]*f40[t] - 1034370*Sqrt[3]*f40[t]*f42[t] + 16322310*Sqrt[3]*lu1*f40[t]*f42[t] - 66351510*Sqrt[3]*lu1^2*f40[t]* f42[t] - 19891350*Sqrt[3]*lu1^3*f40[t]*f42[t] + 321366240*Sqrt[3]*lu1^4*f40[t]*f42[t] - 102771000*Sqrt[3]*lu1^5* f40[t]*f42[t] + 35706*Sqrt[70]*f22[t]*f44[t] - 966306*Sqrt[70]*lu1*f22[t]*f44[t] + 6250750*Sqrt[70]*lu1^2*f22[t]* f44[t] + 25748954*Sqrt[70]*lu1^3*f22[t]*f44[t] + 124591544*Sqrt[70]*lu1^4*f22[t]*f44[t] - 12923240*Sqrt[70]*lu1^5* f22[t]*f44[t] - 68958*Sqrt[210]*f42[t]*f44[t] + 1088154*Sqrt[210]*lu1*f42[t]*f44[t] - 4423434*Sqrt[210]*lu1^2*f42[t]* f44[t] - 1326090*Sqrt[210]*lu1^3*f42[t]*f44[t] + 21424416*Sqrt[210]*lu1^4*f42[t]*f44[t] - 6851400*Sqrt[210]*lu1^5* f42[t]*f44[t] + 35706*Sqrt[70]*f22n[t]*f44n[t] - 966306*Sqrt[70]*lu1*f22n[t]*f44n[t] + 6250750*Sqrt[70]*lu1^2*f22n[t]* f44n[t] + 25748954*Sqrt[70]*lu1^3*f22n[t]*f44n[t] + 124591544*Sqrt[70]*lu1^4*f22n[t]*f44n[t] - 12923240*Sqrt[70]*lu1^5* f22n[t]*f44n[t] - 68958*Sqrt[210]*f42n[t]*f44n[t] + 1088154*Sqrt[210]*lu1*f42n[t]*f44n[t] - 4423434*Sqrt[210]*lu1^2* f42n[t]*f44n[t] - 1326090*Sqrt[210]*lu1^3*f42n[t]*f44n[t] + 21424416*Sqrt[210]*lu1^4*f42n[t]*f44n[t] - 6851400*Sqrt[210]*lu1^5* f42n[t]*f44n[t] - 12771*Sqrt[5]*f22[t]*g20[t] - 14949*Sqrt[5]*lu1*f22[t]*g20[t] + 3060585*Sqrt[5]*lu1^2*f22[t]* g20[t] + 16887321*Sqrt[5]*lu1^3*f22[t]*g20[t] - 28880874*Sqrt[5]*lu1^4*f22[t]*g20[t] - 44565840*Sqrt[5]*lu1^5*f22[t]* g20[t] + 7656*Sqrt[15]*f42[t]*g20[t] + 239844*Sqrt[15]*lu1*f42[t]* g20[t] - 4448620*Sqrt[15]*lu1^2*f42[t]*g20[t] - 34546556*Sqrt[15]*lu1^3*f42[t]*g20[t] - 34889756*Sqrt[15]*lu1^4* f42[t]*g20[t] + 66845240*Sqrt[15]*lu1^5*f42[t]*g20[t] + 7656*f40[t]*g22[t] + 239844*lu1*f40[t]*g22[t] - 4448620*lu1^2*f40[t]*g22[t] - 34546556*lu1^3*f40[t]*g22[t] - 34889756*lu1^4*f40[t]*g22[t] + 66845240*lu1^5*f40[t]*g22[t] + 7656*Sqrt[70]*f44[t]*g22[t] + 239844*Sqrt[70]*lu1*f44[t]*g22[t] - 4448620*Sqrt[70]*lu1^2*f44[t]*g22[t] - 34546556*Sqrt[70]*lu1^3* f44[t]*g22[t] - 34889756*Sqrt[70]*lu1^4*f44[t]*g22[t] + 66845240*Sqrt[70]*lu1^5*f44[t]*g22[t] + 594*Sqrt[5]*g20[t]*g22[t] - 2574*Sqrt[5]*lu1*g20[t]*g22[t] - 137610*Sqrt[5]*lu1^2*g20[t]* g22[t] - 143154*Sqrt[5]*lu1^3*g20[t]*g22[t] + 4710816*Sqrt[5]*lu1^4* g20[t]*g22[t] + 8953560*Sqrt[5]*lu1^5*g20[t]*g22[t] + 1386*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*Sqrt[Pi]* ((-2 + 26*lu1)*f22[t] - (1 + 7*lu1)*g22[t]) + 7656*Sqrt[70]*f44n[t]* g22n[t] + 239844*Sqrt[70]*lu1*f44n[t]*g22n[t] - 4448620*Sqrt[70]*lu1^2*f44n[t]*g22n[t] - 34546556*Sqrt[70]*lu1^3* f44n[t]*g22n[t] - 34889756*Sqrt[70]*lu1^4*f44n[t]*g22n[t] + 66845240*Sqrt[70]*lu1^5*f44n[t]*g22n[t] + 4257*f22[t]*g40[t] + 127413*lu1*f22[t]*g40[t] - 1410365*lu1^2*f22[t]*g40[t] + 1099043*lu1^3*f22[t]*g40[t] + 10009208*lu1^4*f22[t]*g40[t] + 2436940*lu1^5*f22[t]*g40[t] - 74925*Sqrt[3]*f42[t]*g40[t] - 2138535*Sqrt[3]*lu1*f42[t]*g40[t] + 12550815*Sqrt[3]*lu1^2*f42[t]* g40[t] + 32056155*Sqrt[3]*lu1^3*f42[t]*g40[t] - 32883030*Sqrt[3]*lu1^4*f42[t]*g40[t] - 61765200*Sqrt[3]*lu1^5*f42[t]* g40[t] - 297*g22[t]*g40[t] - 23793*lu1*g22[t]*g40[t] + 193325*lu1^2*g22[t]*g40[t] + 76417*lu1^3*g22[t]*g40[t] - 1497848*lu1^4*g22[t]*g40[t] - 1383580*lu1^5*g22[t]*g40[t] - 74925*Sqrt[3]*f40[t]*g42[t] - 2138535*Sqrt[3]*lu1*f40[t]*g42[t] + 12550815*Sqrt[3]*lu1^2*f40[t]*g42[t] + 32056155*Sqrt[3]*lu1^3*f40[t]* g42[t] - 32883030*Sqrt[3]*lu1^4*f40[t]*g42[t] - 61765200*Sqrt[3]*lu1^5*f40[t]*g42[t] - 4995*Sqrt[210]*f44[t]* g42[t] - 142569*Sqrt[210]*lu1*f44[t]*g42[t] + 836721*Sqrt[210]*lu1^2*f44[t]*g42[t] + 2137077*Sqrt[210]*lu1^3* f44[t]*g42[t] - 2192202*Sqrt[210]*lu1^4*f44[t]*g42[t] - 4117680*Sqrt[210]*lu1^5*f44[t]*g42[t] - 297*Sqrt[15]*g20[t]*g42[t] - 23793*Sqrt[15]*lu1*g20[t]*g42[t] + 193325*Sqrt[15]*lu1^2*g20[t]* g42[t] + 76417*Sqrt[15]*lu1^3*g20[t]*g42[t] - 1497848*Sqrt[15]*lu1^4*g20[t]*g42[t] - 1383580*Sqrt[15]*lu1^5*g20[t]* g42[t] + 810*Sqrt[3]*g40[t]*g42[t] + 37530*Sqrt[3]*lu1*g40[t]* g42[t] - 391410*Sqrt[3]*lu1^2*g40[t]*g42[t] - 203130*Sqrt[3]*lu1^3* g40[t]*g42[t] + 5020560*Sqrt[3]*lu1^4*g40[t]*g42[t] + 7147800*Sqrt[3]*lu1^5*g40[t]*g42[t] + 11*Sqrt[5]*f20[t]* (90*(-9 + 643*lu1 - 3807*lu1^2 - 90107*lu1^3 + 220212*lu1^4 + 75820*lu1^5)*f22[t] + 2*Sqrt[3]*(1623 - 43923*lu1 + 284125*lu1^2 + 1170407*lu1^3 + 5663252*lu1^4 - 587420*lu1^5)* f42[t] - 1161*g22[t] - 1359*lu1*g22[t] + 278235*lu1^2*g22[t] + 1535211*lu1^3*g22[t] - 2625534*lu1^4*g22[t] - 4051440*lu1^5* g22[t] + 387*Sqrt[3]*g42[t] + 11583*Sqrt[3]*lu1*g42[t] - 128215*Sqrt[3]*lu1^2*g42[t] + 99913*Sqrt[3]*lu1^3*g42[t] + 909928*Sqrt[3]*lu1^4*g42[t] + 221540*Sqrt[3]*lu1^5*g42[t]) - 4995*Sqrt[210]*f44n[t]*g42n[t] - 142569*Sqrt[210]*lu1*f44n[t]* g42n[t] + 836721*Sqrt[210]*lu1^2*f44n[t]*g42n[t] + 2137077*Sqrt[210]*lu1^3*f44n[t]*g42n[t] - 2192202*Sqrt[210]*lu1^4* f44n[t]*g42n[t] - 4117680*Sqrt[210]*lu1^5*f44n[t]*g42n[t] + 4257*Sqrt[70]*f22[t]*g44[t] + 127413*Sqrt[70]*lu1*f22[t]*g44[t] - 1410365*Sqrt[70]*lu1^2*f22[t]*g44[t] + 1099043*Sqrt[70]*lu1^3*f22[t]* g44[t] + 10009208*Sqrt[70]*lu1^4*f22[t]*g44[t] + 2436940*Sqrt[70]*lu1^5*f22[t]*g44[t] - 4995*Sqrt[210]*f42[t]* g44[t] - 142569*Sqrt[210]*lu1*f42[t]*g44[t] + 836721*Sqrt[210]*lu1^2*f42[t]*g44[t] + 2137077*Sqrt[210]*lu1^3* f42[t]*g44[t] - 2192202*Sqrt[210]*lu1^4*f42[t]*g44[t] - 4117680*Sqrt[210]*lu1^5*f42[t]*g44[t] - 297*Sqrt[70]*g22[t]*g44[t] - 23793*Sqrt[70]*lu1*g22[t]*g44[t] + 193325*Sqrt[70]*lu1^2*g22[t]* g44[t] + 76417*Sqrt[70]*lu1^3*g22[t]*g44[t] - 1497848*Sqrt[70]*lu1^4*g22[t]*g44[t] - 1383580*Sqrt[70]*lu1^5*g22[t]* g44[t] + 54*Sqrt[210]*g42[t]*g44[t] + 2502*Sqrt[210]*lu1*g42[t]* g44[t] - 26094*Sqrt[210]*lu1^2*g42[t]*g44[t] - 13542*Sqrt[210]*lu1^3*g42[t]*g44[t] + 334704*Sqrt[210]*lu1^4*g42[t]* g44[t] + 476520*Sqrt[210]*lu1^5*g42[t]*g44[t] + 4257*Sqrt[70]*f22n[t]*g44n[t] + 127413*Sqrt[70]*lu1*f22n[t]* g44n[t] - 1410365*Sqrt[70]*lu1^2*f22n[t]*g44n[t] + 1099043*Sqrt[70]*lu1^3*f22n[t]*g44n[t] + 10009208*Sqrt[70]*lu1^4* f22n[t]*g44n[t] + 2436940*Sqrt[70]*lu1^5*f22n[t]*g44n[t] - 4995*Sqrt[210]*f42n[t]*g44n[t] - 142569*Sqrt[210]*lu1*f42n[t]* g44n[t] + 836721*Sqrt[210]*lu1^2*f42n[t]*g44n[t] + 2137077*Sqrt[210]*lu1^3*f42n[t]*g44n[t] - 2192202*Sqrt[210]*lu1^4* f42n[t]*g44n[t] - 4117680*Sqrt[210]*lu1^5*f42n[t]*g44n[t] - 297*Sqrt[70]*g22n[t]*g44n[t] - 23793*Sqrt[70]*lu1*g22n[t]*g44n[t] + 193325*Sqrt[70]*lu1^2*g22n[t]*g44n[t] + 76417*Sqrt[70]*lu1^3*g22n[t]* g44n[t] - 1497848*Sqrt[70]*lu1^4*g22n[t]*g44n[t] - 1383580*Sqrt[70]*lu1^5*g22n[t]*g44n[t] + 54*Sqrt[210]*g42n[t]* g44n[t] + 2502*Sqrt[210]*lu1*g42n[t]*g44n[t] - 26094*Sqrt[210]*lu1^2*g42n[t]*g44n[t] - 13542*Sqrt[210]*lu1^3* g42n[t]*g44n[t] + 334704*Sqrt[210]*lu1^4*g42n[t]*g44n[t] + 476520*Sqrt[210]*lu1^5*g42n[t]*g44n[t]) + 3*(-1 + 17*lu1)* (-77077*(3 - 19*lu1)^2*(1 + 2*lu1)^3*(3 + 32*lu1 + 20*lu1^2)*Pi*sc* g22n[t] - Sqrt[Pi/3]*(-143*Sqrt[10]*(-6 - lu1 + 2*lu1^2)*f22[t]* (-330*(48 - 2077*lu1 - 19374*lu1^2 + 113089*lu1^3 + 511290*lu1^4)* f22n[t] + 10*Sqrt[3]*(-9729 - 233312*lu1 - 863501*lu1^2 + 1793662*lu1^3 + 380496*lu1^4)*f42n[t] + 1617*(1 + 10*lu1)* (-3 + 13*lu1 + 38*lu1^2)^2*g22n[t]) - 5*(3963960*Sqrt[7*Pi]*f44n[t] + 90510420*lu1*Sqrt[7*Pi]*f44n[t] + 173533360*lu1^2*Sqrt[7*Pi]*f44n[t] - 4279094820*lu1^3*Sqrt[7*Pi]* f44n[t] - 9301652360*lu1^4*Sqrt[7*Pi]*f44n[t] + 2642640*lu1^5*Sqrt[7*Pi]*f44n[t] + 2845242400*lu1^6*Sqrt[7*Pi]* f44n[t] + 29029572*Sqrt[35]*f20[t]*f44n[t] + 463475298*Sqrt[35]* lu1*f20[t]*f44n[t] + 1413399130*Sqrt[35]*lu1^2*f20[t]*f44n[t] - 7529503410*Sqrt[35]*lu1^3*f20[t]*f44n[t] - 2816369270*Sqrt[35]* lu1^4*f20[t]*f44n[t] + 1410249984*Sqrt[35]*lu1^5*f20[t]* f44n[t] + 836880616*Sqrt[35]*lu1^6*f20[t]*f44n[t] - 93561600*Sqrt[7]*f40[t]*f44n[t] - 1076557800*Sqrt[7]*lu1*f40[t]* f44n[t] - 8551251420*Sqrt[7]*lu1^2*f40[t]*f44n[t] + 5330217040*Sqrt[7]*lu1^3*f40[t]*f44n[t] + 34445499820*Sqrt[7]* lu1^4*f40[t]*f44n[t] - 23871178840*Sqrt[7]*lu1^5*f40[t]* f44n[t] + 3227494880*Sqrt[7]*lu1^6*f40[t]*f44n[t] + 5148*Sqrt[35]*f44n[t]*g20[t] - 2441010*Sqrt[35]*lu1*f44n[t]* g20[t] - 74146930*Sqrt[35]*lu1^2*f44n[t]*g20[t] + 323427390*Sqrt[35]*lu1^3*f44n[t]*g20[t] + 1448537090*Sqrt[35]* lu1^4*f44n[t]*g20[t] + 680387136*Sqrt[35]*lu1^5*f44n[t]* g20[t] - 738045880*Sqrt[35]*lu1^6*f44n[t]*g20[t] + 257400*Sqrt[30]*f42n[t]*g22[t] - 11059620*Sqrt[30]*lu1*f42n[t]* g22[t] - 16899740*Sqrt[30]*lu1^2*f42n[t]*g22[t] + 365959880*Sqrt[30]*lu1^3*f42n[t]*g22[t] + 762201440*Sqrt[30]* lu1^4*f42n[t]*g22[t] - 5514080*Sqrt[30]*lu1^5*f42n[t]*g22[t] - 232140480*Sqrt[30]*lu1^6*f42n[t]*g22[t] - 1013220*Sqrt[7]* f44n[t]*g40[t] - 8092890*Sqrt[7]*lu1*f44n[t]*g40[t] + 97522490*Sqrt[7]*lu1^2*f44n[t]*g40[t] + 135757570*Sqrt[7]*lu1^3* f44n[t]*g40[t] - 926187990*Sqrt[7]*lu1^4*f44n[t]*g40[t] - 1131030160*Sqrt[7]*lu1^5*f44n[t]*g40[t] + 774265960*Sqrt[7]* lu1^6*f44n[t]*g40[t] + 274014*Sqrt[10]*f42n[t]*g42[t] - 20072559*Sqrt[10]*lu1*f42n[t]*g42[t] - 31792930*Sqrt[10]*lu1^2* f42n[t]*g42[t] + 705054285*Sqrt[10]*lu1^3*f42n[t]*g42[t] + 1480838450*Sqrt[10]*lu1^4*f42n[t]*g42[t] - 8655972*Sqrt[10]* lu1^5*f42n[t]*g42[t] - 451403368*Sqrt[10]*lu1^6*f42n[t]* g42[t] + 143*Sqrt[10]*(6 - 41*lu1 + 19*lu1^2)*f22n[t]* (2*Sqrt[3]*(7188 + 84275*lu1 + 477633*lu1^2 + 336648*lu1^3 + 113956*lu1^4)*f42[t] - 33*(-9 - 57*lu1 + 470*lu1^2 + 1476*lu1^3 + 760*lu1^4)*(3*g22[t] + 2*Sqrt[3]*g42[t])) + Sqrt[10]*(-2 + lu1)*f42[t]*(30*(2339040 + 28083465*lu1 + 227823018*lu1^2 - 19343917*lu1^3 - 870809454*lu1^4 + 161374744*lu1^5)*f42n[t] - 637*(-3 + 13*lu1 + 38*lu1^2)^2* (22*Sqrt[3]*(-1 + 25*lu1)*g22n[t] - (289 + 3016*lu1)* g42n[t])) + 452088*Sqrt[10]*f44n[t]*g44[t] - 30137016*Sqrt[10]*lu1*f44n[t]*g44[t] - 211104530*Sqrt[10]*lu1^2* f44n[t]*g44[t] + 1590659980*Sqrt[10]*lu1^3*f44n[t]*g44[t] + 5129346950*Sqrt[10]*lu1^4*f44n[t]*g44[t] + 1576285256*Sqrt[10]* lu1^5*f44n[t]*g44[t] - 2255183112*Sqrt[10]*lu1^6*f44n[t]* g44[t] + 594594*Sqrt[7*Pi]*g44n[t] + 1189188*lu1*Sqrt[7*Pi]* g44n[t] - 54900846*lu1^2*Sqrt[7*Pi]*g44n[t] - 10658648*lu1^3*Sqrt[7*Pi]*g44n[t] + 765660896*lu1^4*Sqrt[7*Pi]* g44n[t] + 1452747296*lu1^5*Sqrt[7*Pi]*g44n[t] + 635995360*lu1^6*Sqrt[7*Pi]*g44n[t] + 509652*Sqrt[35]*f20[t]* g44n[t] - 254826*Sqrt[35]*lu1*f20[t]*g44n[t] - 47057868*Sqrt[35]*lu1^2*f20[t]*g44n[t] + 108508686*Sqrt[35]* lu1^3*f20[t]*g44n[t] + 443831388*Sqrt[35]*lu1^4*f20[t]* g44n[t] + 29408808*Sqrt[35]*lu1^5*f20[t]*g44n[t] - 136284720*Sqrt[35]*lu1^6*f20[t]*g44n[t] - 1013220*Sqrt[7]*f40[t]* g44n[t] - 8092890*Sqrt[7]*lu1*f40[t]*g44n[t] + 97522490*Sqrt[7]*lu1^2*f40[t]*g44n[t] + 135757570*Sqrt[7]*lu1^3* f40[t]*g44n[t] - 926187990*Sqrt[7]*lu1^4*f40[t]*g44n[t] - 1131030160*Sqrt[7]*lu1^5*f40[t]*g44n[t] + 774265960*Sqrt[7]* lu1^6*f40[t]*g44n[t] - 452088*Sqrt[10]*f44[t]*g44n[t] + 30137016*Sqrt[10]*lu1*f44[t]*g44n[t] + 211104530*Sqrt[10]*lu1^2* f44[t]*g44n[t] - 1590659980*Sqrt[10]*lu1^3*f44[t]*g44n[t] - 5129346950*Sqrt[10]*lu1^4*f44[t]*g44n[t] - 1576285256*Sqrt[10]* lu1^5*f44[t]*g44n[t] + 2255183112*Sqrt[10]*lu1^6*f44[t]* g44n[t]))))/(231231*(3 - 19*lu1)^2*(1 + 2*lu1)^3* (-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (cap*(429*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f20[t]^2* (66*(-81081 + 1165725*lu1 + 12921312*lu1^2 - 27696346*lu1^3 - 1048529625*lu1^4 - 18912728567*lu1^5 - 26142473510*lu1^6 + 166663921204*lu1^7 - 83777395592*lu1^8 - 115084770400*lu1^9 + 12656459200*lu1^10)*f22[t] - 5*(-3 + 13*lu1 + 38*lu1^2)* (Sqrt[3]*(640407 - 8539710*lu1 - 144925722*lu1^2 + 689415080*lu1^3 + 213926095*lu1^4 + 55252082694*lu1^5 - 2118604900*lu1^6 + 27247924936*lu1^7 + 28091935200*lu1^8)* f42[t] + 2*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)* (22*(72 - 519*lu1 - 18287*lu1^2 + 51149*lu1^3 - 226153*lu1^4 + 62410*lu1^5)*g22[t] - Sqrt[3]*(-2379 + 29123*lu1 + 153239*lu1^2 - 875903*lu1^3 + 4987876*lu1^4 + 1623180*lu1^5)* g42[t]))) + 6*f20[t]*(36579322575*Sqrt[42]*f42[t]*f44[t] - 494978450490*Sqrt[42]*lu1*f42[t]*f44[t] - 29520239305515*Sqrt[42]* lu1^2*f42[t]*f44[t] + 64450541192120*Sqrt[42]*lu1^3*f42[t]* f44[t] + 4212716189029065*Sqrt[42]*lu1^4*f42[t]*f44[t] + 38547307920881710*Sqrt[42]*lu1^5*f42[t]*f44[t] - 376974594624674925*Sqrt[42]*lu1^6*f42[t]*f44[t] - 3375916812507489580*Sqrt[42]*lu1^7*f42[t]*f44[t] - 4617782056871616960*Sqrt[42]*lu1^8*f42[t]*f44[t] + 6709443415175180480*Sqrt[42]*lu1^9*f42[t]*f44[t] + 7356432010227626720*Sqrt[42]*lu1^10*f42[t]*f44[t] - 10931050443479259040*Sqrt[42]*lu1^11*f42[t]*f44[t] - 11425819567163892800*Sqrt[42]*lu1^12*f42[t]*f44[t] - 3214390794460944000*Sqrt[42]*lu1^13*f42[t]*f44[t] - 28370763135*Sqrt[14]*f22n[t]*f44n[t] + 503265268935*Sqrt[14]*lu1* f22n[t]*f44n[t] + 23774660465985*Sqrt[14]*lu1^2*f22n[t]*f44n[t] - 186781063722825*Sqrt[14]*lu1^3*f22n[t]*f44n[t] - 4092286934472165*Sqrt[14]*lu1^4*f22n[t]*f44n[t] - 21905288768346555*Sqrt[14]*lu1^5*f22n[t]*f44n[t] + 519191064950278435*Sqrt[14]*lu1^6*f22n[t]*f44n[t] + 3939358228930054645*Sqrt[14]*lu1^7*f22n[t]*f44n[t] + 3067198730569058800*Sqrt[14]*lu1^8*f22n[t]*f44n[t] - 2790803177551068680*Sqrt[14]*lu1^9*f22n[t]*f44n[t] + 41269034769099280*Sqrt[14]*lu1^10*f22n[t]*f44n[t] + 10258776459567372880*Sqrt[14]*lu1^11*f22n[t]*f44n[t] + 15589987925499187200*Sqrt[14]*lu1^12*f22n[t]*f44n[t] + 6315924816321120000*Sqrt[14]*lu1^13*f22n[t]*f44n[t] + 36579322575*Sqrt[42]*f42n[t]*f44n[t] - 494978450490*Sqrt[42]*lu1* f42n[t]*f44n[t] - 29520239305515*Sqrt[42]*lu1^2*f42n[t]*f44n[t] + 64450541192120*Sqrt[42]*lu1^3*f42n[t]*f44n[t] + 4212716189029065*Sqrt[42]*lu1^4*f42n[t]*f44n[t] + 38547307920881710*Sqrt[42]*lu1^5*f42n[t]*f44n[t] - 376974594624674925*Sqrt[42]*lu1^6*f42n[t]*f44n[t] - 3375916812507489580*Sqrt[42]*lu1^7*f42n[t]*f44n[t] - 4617782056871616960*Sqrt[42]*lu1^8*f42n[t]*f44n[t] + 6709443415175180480*Sqrt[42]*lu1^9*f42n[t]*f44n[t] + 7356432010227626720*Sqrt[42]*lu1^10*f42n[t]*f44n[t] - 10931050443479259040*Sqrt[42]*lu1^11*f42n[t]*f44n[t] - 11425819567163892800*Sqrt[42]*lu1^12*f42n[t]*f44n[t] - 3214390794460944000*Sqrt[42]*lu1^13*f42n[t]*f44n[t] - 251351100*Sqrt[3]*f42[t]*g20[t] + 3598722270*Sqrt[3]*lu1*f42[t]* g20[t] + 77607728055*Sqrt[3]*lu1^2*f42[t]*g20[t] + 1808631904365*Sqrt[3]*lu1^3*f42[t]*g20[t] + 69028501493380*Sqrt[3]* lu1^4*f42[t]*g20[t] - 1417117242907080*Sqrt[3]*lu1^5*f42[t]* g20[t] - 3265691966121585*Sqrt[3]*lu1^6*f42[t]*g20[t] + 50290871613867885*Sqrt[3]*lu1^7*f42[t]*g20[t] + 93602681444573730*Sqrt[3]*lu1^8*f42[t]*g20[t] - 363437972608922640*Sqrt[3]*lu1^9*f42[t]*g20[t] - 343111962008632960*Sqrt[3]*lu1^10*f42[t]*g20[t] + 1938065918232958800*Sqrt[3]*lu1^11*f42[t]*g20[t] + 2879128598134932000*Sqrt[3]*lu1^12*f42[t]*g20[t] + 831181549358160000*Sqrt[3]*lu1^13*f42[t]*g20[t] + 1860808950*Sqrt[14]*f44[t]*g22[t] - 44052523515*Sqrt[14]*lu1*f44[t]* g22[t] - 982761719940*Sqrt[14]*lu1^2*f44[t]*g22[t] + 16206318793665*Sqrt[14]*lu1^3*f44[t]*g22[t] - 134977516013340* Sqrt[14]*lu1^4*f44[t]*g22[t] + 1599795673731255*Sqrt[14]*lu1^5* f44[t]*g22[t] + 222010296528020*Sqrt[14]*lu1^6*f44[t]*g22[t] - 68960448632280205*Sqrt[14]*lu1^7*f44[t]*g22[t] - 56656457395307770*Sqrt[14]*lu1^8*f44[t]*g22[t] + 854889294415476320*Sqrt[14]*lu1^9*f44[t]*g22[t] + 2466797412939619760*Sqrt[14]*lu1^10*f44[t]*g22[t] + 2467409282217479600*Sqrt[14]*lu1^11*f44[t]*g22[t] + 859218864131628000*Sqrt[14]*lu1^12*f44[t]*g22[t] + 36762121796400000*Sqrt[14]*lu1^13*f44[t]*g22[t] + 1860808950*Sqrt[14]*f44n[t]*g22n[t] - 44052523515*Sqrt[14]*lu1* f44n[t]*g22n[t] - 982761719940*Sqrt[14]*lu1^2*f44n[t]*g22n[t] + 16206318793665*Sqrt[14]*lu1^3*f44n[t]*g22n[t] - 134977516013340*Sqrt[14]*lu1^4*f44n[t]*g22n[t] + 1599795673731255*Sqrt[14]*lu1^5*f44n[t]*g22n[t] + 222010296528020*Sqrt[14]*lu1^6*f44n[t]*g22n[t] - 68960448632280205*Sqrt[14]*lu1^7*f44n[t]*g22n[t] - 56656457395307770*Sqrt[14]*lu1^8*f44n[t]*g22n[t] + 854889294415476320*Sqrt[14]*lu1^9*f44n[t]*g22n[t] + 2466797412939619760*Sqrt[14]*lu1^10*f44n[t]*g22n[t] + 2467409282217479600*Sqrt[14]*lu1^11*f44n[t]*g22n[t] + 859218864131628000*Sqrt[14]*lu1^12*f44n[t]*g22n[t] + 36762121796400000*Sqrt[14]*lu1^13*f44n[t]*g22n[t] - 197390844*Sqrt[15]*f42[t]*g40[t] + 8753769765*Sqrt[15]*lu1*f42[t]* g40[t] - 184943505186*Sqrt[15]*lu1^2*f42[t]*g40[t] + 255531983061*Sqrt[15]*lu1^3*f42[t]*g40[t] + 18392215699078*Sqrt[15]* lu1^4*f42[t]*g40[t] + 89322269966263*Sqrt[15]*lu1^5*f42[t]* g40[t] - 1497133032451630*Sqrt[15]*lu1^6*f42[t]*g40[t] - 13144340427861097*Sqrt[15]*lu1^7*f42[t]*g40[t] + 69163054056170582*Sqrt[15]*lu1^8*f42[t]*g40[t] + 288957017830053576*Sqrt[15]*lu1^9*f42[t]*g40[t] - 328111350060937008*Sqrt[15]*lu1^10*f42[t]*g40[t] - 2016975960723567440*Sqrt[15]*lu1^11*f42[t]*g40[t] - 2135870243442087200*Sqrt[15]*lu1^12*f42[t]*g40[t] - 603344828920960000*Sqrt[15]*lu1^13*f42[t]*g40[t] - 302250690*Sqrt[42]*f44[t]*g42[t] + 8824524345*Sqrt[42]*lu1*f44[t]* g42[t] + 25776834930*Sqrt[42]*lu1^2*f44[t]*g42[t] - 1293072565365*Sqrt[42]*lu1^3*f44[t]*g42[t] + 10398016219500* Sqrt[42]*lu1^4*f44[t]*g42[t] - 151191357005745*Sqrt[42]*lu1^5* f44[t]*g42[t] + 49264263522810*Sqrt[42]*lu1^6*f44[t]*g42[t] + 7369600873155885*Sqrt[42]*lu1^7*f44[t]*g42[t] + 6178011576365370*Sqrt[42]*lu1^8*f44[t]*g42[t] - 99325855946814000*Sqrt[42]*lu1^9*f44[t]*g42[t] - 300436427256438480*Sqrt[42]*lu1^10*f44[t]*g42[t] - 310876246045120560*Sqrt[42]*lu1^11*f44[t]*g42[t] - 103498090914674400*Sqrt[42]*lu1^12*f44[t]*g42[t] - 54132585360000*Sqrt[42]*lu1^13*f44[t]*g42[t] - Sqrt[5]*f40[t]*(Sqrt[3]*(-9384489117 + 241384074390*lu1 + 13981123042377*lu1^2 - 160582544273832*lu1^3 - 9744546503132171*lu1^4 + 14955190004366974*lu1^5 + 475333033115798255*lu1^6 + 3249202227806409204*lu1^7 + 8061915231080556016*lu1^8 - 964935061493024032*lu1^9 - 16625703626435277664*lu1^10 - 2927289910069049760*lu1^11 + 12823573113824491200*lu1^12 + 4943323445023152000*lu1^13)* f42[t] + (-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)* (143*(37674 - 1104639*lu1 - 45770721*lu1^2 + 980189492*lu1^3 + 18020705116*lu1^4 - 142510522479*lu1^5 - 1115468475049* lu1^6 - 6089760444830*lu1^7 + 9875852586900*lu1^8 + 12357826173000*lu1^9)*g22[t] + Sqrt[3]*(12036738 - 190240373*lu1 - 14948417427*lu1^2 + 171125129004*lu1^3 + 1346877320392*lu1^4 - 1377441314773*lu1^5 - 128528899537923* lu1^6 - 851674627793610*lu1^7 + 863668057526300*lu1^8 + 1715909841471000*lu1^9)*g42[t])) - 302250690*Sqrt[42]*f44n[t]* g42n[t] + 8824524345*Sqrt[42]*lu1*f44n[t]*g42n[t] + 25776834930*Sqrt[42]*lu1^2*f44n[t]*g42n[t] - 1293072565365*Sqrt[42]* lu1^3*f44n[t]*g42n[t] + 10398016219500*Sqrt[42]*lu1^4*f44n[t]* g42n[t] - 151191357005745*Sqrt[42]*lu1^5*f44n[t]*g42n[t] + 49264263522810*Sqrt[42]*lu1^6*f44n[t]*g42n[t] + 7369600873155885*Sqrt[42]*lu1^7*f44n[t]*g42n[t] + 6178011576365370*Sqrt[42]*lu1^8*f44n[t]*g42n[t] - 99325855946814000*Sqrt[42]*lu1^9*f44n[t]*g42n[t] - 300436427256438480*Sqrt[42]*lu1^10*f44n[t]*g42n[t] - 310876246045120560*Sqrt[42]*lu1^11*f44n[t]*g42n[t] - 103498090914674400*Sqrt[42]*lu1^12*f44n[t]*g42n[t] - 54132585360000*Sqrt[42]*lu1^13*f44n[t]*g42n[t] + 220132080*Sqrt[42]*f42[t]*g44[t] - 5824049985*Sqrt[42]*lu1*f42[t]* g44[t] - 187546066290*Sqrt[42]*lu1^2*f42[t]*g44[t] + 4109051968935*Sqrt[42]*lu1^3*f42[t]*g44[t] + 25988381709030* Sqrt[42]*lu1^4*f42[t]*g44[t] - 445181698859915*Sqrt[42]*lu1^5* f42[t]*g44[t] - 2710882752332510*Sqrt[42]*lu1^6*f42[t]*g44[t] + 5263033259547245*Sqrt[42]*lu1^7*f42[t]*g44[t] + 85613422219977770*Sqrt[42]*lu1^8*f42[t]*g44[t] + 175459513856339560*Sqrt[42]*lu1^9*f42[t]*g44[t] + 153020227198201200*Sqrt[42]*lu1^10*f42[t]*g44[t] + 337256139704987920*Sqrt[42]*lu1^11*f42[t]*g44[t] + 417680107960269600*Sqrt[42]*lu1^12*f42[t]*g44[t] + 81654104528416000*Sqrt[42]*lu1^13*f42[t]*g44[t] + 715*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22[t]* (Sqrt[5]*(3413781 - 38458164*lu1 - 492356565*lu1^2 - 579202326*lu1^3 + 59361156367*lu1^4 + 445930917328*lu1^5 - 439109970995*lu1^6 - 937702275326*lu1^7 + 105128530660*lu1^8 + 418207159000*lu1^9 + 146603966880*lu1^10)*f40[t] + Sqrt[14]*(4408821 - 41467326*lu1 - 588530007*lu1^2 - 3816529614*lu1^3 + 100810887491*lu1^4 + 652033238342*lu1^5 - 243341897437*lu1^6 - 235974789634*lu1^7 + 301507706012*lu1^8 + 1630756135112*lu1^9 + 956002303200*lu1^10)*f44[t] - (9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*(55*(-171 + 2259*lu1 + 4775*lu1^2 - 51695*lu1^3 + 324148*lu1^4 + 167660*lu1^5)*g20[t] + Sqrt[5]*(69 - 4945*lu1 + 149987*lu1^2 - 253379*lu1^3 + 706120*lu1^4 - 1309020*lu1^5)*g40[t] + Sqrt[14]*(-3057 + 30589*lu1 + 454297*lu1^2 - 1590169*lu1^3 + 7827368*lu1^4 - 17460*lu1^5)* g44[t])) - 177046155*Sqrt[14]*f22n[t]*g44n[t] + 5135438880*Sqrt[14]*lu1*f22n[t]*g44n[t] + 143828678565*Sqrt[14]* lu1^2*f22n[t]*g44n[t] - 3765465243540*Sqrt[14]*lu1^3*f22n[t]* g44n[t] - 27156826187205*Sqrt[14]*lu1^4*f22n[t]*g44n[t] + 627080427035920*Sqrt[14]*lu1^5*f22n[t]*g44n[t] + 2001075348407135*Sqrt[14]*lu1^6*f22n[t]*g44n[t] - 23518335829151020*Sqrt[14]*lu1^7*f22n[t]*g44n[t] + 16998789291589820*Sqrt[14]*lu1^8*f22n[t]*g44n[t] - 32900760675056560*Sqrt[14]*lu1^9*f22n[t]*g44n[t] - 980994227613640240*Sqrt[14]*lu1^10*f22n[t]*g44n[t] - 1629106936146747200*Sqrt[14]*lu1^11*f22n[t]*g44n[t] - 664179589798296000*Sqrt[14]*lu1^12*f22n[t]*g44n[t] + 1490337969120000*Sqrt[14]*lu1^13*f22n[t]*g44n[t] + 220132080*Sqrt[42]*f42n[t]*g44n[t] - 5824049985*Sqrt[42]*lu1* f42n[t]*g44n[t] - 187546066290*Sqrt[42]*lu1^2*f42n[t]*g44n[t] + 4109051968935*Sqrt[42]*lu1^3*f42n[t]*g44n[t] + 25988381709030*Sqrt[42]*lu1^4*f42n[t]*g44n[t] - 445181698859915*Sqrt[42]*lu1^5*f42n[t]*g44n[t] - 2710882752332510*Sqrt[42]*lu1^6*f42n[t]*g44n[t] + 5263033259547245*Sqrt[42]*lu1^7*f42n[t]*g44n[t] + 85613422219977770*Sqrt[42]*lu1^8*f42n[t]*g44n[t] + 175459513856339560*Sqrt[42]*lu1^9*f42n[t]*g44n[t] + 153020227198201200*Sqrt[42]*lu1^10*f42n[t]*g44n[t] + 337256139704987920*Sqrt[42]*lu1^11*f42n[t]*g44n[t] + 417680107960269600*Sqrt[42]*lu1^12*f42n[t]*g44n[t] + 81654104528416000*Sqrt[42]*lu1^13*f42n[t]*g44n[t]) + 2*(28314*(729729 - 16572600*lu1 - 600159159*lu1^2 + 8682875424*lu1^3 + 109174404027*lu1^4 + 15819304192*lu1^5 - 8827026355725*lu1^6 - 146408160022168*lu1^7 - 345699689659912* lu1^8 + 927509991835184*lu1^9 + 940933836670928*lu1^10 - 1584041193068480*lu1^11 - 974205866972800*lu1^12 + 116945683008000*lu1^13)*f22[t]^3 + 2145*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*f22[t]^2* (5*Sqrt[3]*(434589 - 4730031*lu1 - 56895900*lu1^2 - 206276730*lu1^3 + 9035964701*lu1^4 + 54974032181*lu1^5 - 74563347478*lu1^6 - 15495383068*lu1^7 + 32921157416*lu1^8 + 91883855840*lu1^9)*f42[t] - 2*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*(33*(-237 + 3419*lu1 - 4233*lu1^2 - 52059*lu1^3 + 389478*lu1^4 + 321040*lu1^5)*g22[t] - 5*Sqrt[3]*(249 - 2137*lu1 - 50357*lu1^2 + 153629*lu1^3 - 711124*lu1^4 + 110540*lu1^5)*g42[t])) + 715*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]^2* (3*Sqrt[3]*(2298807 - 16330077*lu1 - 276321204*lu1^2 - 3969949278*lu1^3 + 68145071767*lu1^4 + 389096346959*lu1^5 + 82026095486*lu1^6 + 506114641532*lu1^7 + 264151881464*lu1^8 + 1554042858464*lu1^9 + 993166048000*lu1^10)*f42[t] + 4*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*(11*(-351 + 7662*lu1 - 104134*lu1^2 + 99568*lu1^3 + 37669*lu1^4 + 1275170*lu1^5)*g22[t] - 6*Sqrt[3]*(-453 + 4976*lu1 + 50628*lu1^2 - 205506*lu1^3 + 1067937*lu1^4 + 133810*lu1^5)*g42[t])) + f22[t]*(28314*(729729 - 16572600*lu1 - 600159159*lu1^2 + 8682875424*lu1^3 + 109174404027*lu1^4 + 15819304192*lu1^5 - 8827026355725*lu1^6 - 146408160022168*lu1^7 - 345699689659912* lu1^8 + 927509991835184*lu1^9 + 940933836670928*lu1^10 - 1584041193068480*lu1^11 - 974205866972800*lu1^12 + 116945683008000*lu1^13)*f22n[t]^2 - 1430*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]*(3*Sqrt[3]*(-2110014 + 25137249*lu1 + 312208803*lu1^2 - 153419664*lu1^3 - 32665815724*lu1^4 - 262936891383*lu1^5 + 325367992923*lu1^6 + 742089431166*lu1^7 - 37355824548*lu1^8 - 76713276648*lu1^9 + 37163744800*lu1^10)*f42n[t] + 7*(3 - 19*lu1)^2*(1 + 2*lu1)^3*( -81 + 1641*lu1 + 869*lu1^2 - 148989*lu1^3 + 943740*lu1^4 + 695300*lu1^5)*(55*g22n[t] - 3*Sqrt[3]*g42n[t])) - 3*((-24585710247 - 119955240855*lu1 + 215954325372*lu1^2 + 758918062708868*lu1^3 + 10392270276372939*lu1^4 - 143251146305550851*lu1^5 + 6203611136488230*lu1^6 + 1157923880689228994*lu1^7 + 5486103847193254866*lu1^8 + 19086458745200218388*lu1^9 + 31167605651629872056*lu1^10 + 28211056433922903920*lu1^11 + 14240168995586060800*lu1^12 + 610388278956624000*lu1^13)*f40[t]^2 + 4*(-60889746573 + 604768100490*lu1 + 39727111441323*lu1^2 + 284831287022662* lu1^3 - 942089016359939*lu1^4 - 121284215423659734*lu1^5 + 527589275582867345*lu1^6 + 5212927895998595146*lu1^7 + 9307760575183159444*lu1^8 + 676776448839370812*lu1^9 + 4889379335738971104*lu1^10 + 28269576304648663840*lu1^11 + 22917945999309670400*lu1^12 + 4833039772522248000*lu1^13)* f42[t]^2 + 132766558488*f42n[t]^2 - 2244244887090*lu1*f42n[t]^ 2 - 120765035012838*lu1^2*f42n[t]^2 + 1262209195475128*lu1^ 3*f42n[t]^2 + 7082651674391584*lu1^4*f42n[t]^2 + 4602314931656454*lu1^5*f42n[t]^2 - 348108213011880070*lu1^ 6*f42n[t]^2 - 4942844202440842676*lu1^7*f42n[t]^2 + 15513176277479032036*lu1^8*f42n[t]^2 + 74569837735479423528*lu1^ 9*f42n[t]^2 + 39970988858884393776*lu1^10*f42n[t]^2 - 20873349433305945440*lu1^11*f42n[t]^2 + 11219713043486729600* lu1^12*f42n[t]^2 + 1707725571240192000*lu1^13*f42n[t]^2 - 274777551342*f44[t]^2 + 3556489029030*lu1*f44[t]^2 + 224150285301012*lu1^2*f44[t]^2 + 184022152273288*lu1^3*f44[t]^ 2 - 61512234568244026*lu1^4*f44[t]^2 - 362756443226684066*lu1^ 5*f44[t]^2 + 4798457613336702280*lu1^6*f44[t]^2 + 38627287898403820924*lu1^7*f44[t]^2 + 84154675952332400156*lu1^ 8*f44[t]^2 + 1708344222407468408*lu1^9*f44[t]^2 - 78835806314593880944*lu1^10*f44[t]^2 + 86584455448053650080*lu1^ 11*f44[t]^2 + 163249751283268832000*lu1^12*f44[t]^2 + 47817137525637984000*lu1^13*f44[t]^2 - 274777551342*f44n[t]^2 + 3556489029030*lu1*f44n[t]^2 + 224150285301012*lu1^2*f44n[t]^2 + 184022152273288*lu1^3*f44n[t]^2 - 61512234568244026*lu1^4* f44n[t]^2 - 362756443226684066*lu1^5*f44n[t]^2 + 4798457613336702280*lu1^6*f44n[t]^2 + 38627287898403820924*lu1^ 7*f44n[t]^2 + 84154675952332400156*lu1^8*f44n[t]^2 + 1708344222407468408*lu1^9*f44n[t]^2 - 78835806314593880944*lu1^ 10*f44n[t]^2 + 86584455448053650080*lu1^11*f44n[t]^2 + 163249751283268832000*lu1^12*f44n[t]^2 + 47817137525637984000* lu1^13*f44n[t]^2 - 772701930*Sqrt[14]*f44[t]*g20[t] + 18568012320*Sqrt[14]*lu1*f44[t]*g20[t] + 496672913880*Sqrt[14]* lu1^2*f44[t]*g20[t] - 8497026972720*Sqrt[14]*lu1^3*f44[t]*g20[ t] - 12345383161540*Sqrt[14]*lu1^4*f44[t]*g20[t] - 127572229098600*Sqrt[14]*lu1^5*f44[t]*g20[t] + 4004014932958040*Sqrt[14]*lu1^6*f44[t]*g20[t] + 47744741610325760*Sqrt[14]*lu1^7*f44[t]*g20[t] - 184433542246615090*Sqrt[14]*lu1^8*f44[t]*g20[t] - 1109608820467455880*Sqrt[14]*lu1^9*f44[t]*g20[t] - 593028153889794480*Sqrt[14]*lu1^10*f44[t]*g20[t] + 2631672980607756800*Sqrt[14]*lu1^11*f44[t]*g20[t] + 3502075018204620000*Sqrt[14]*lu1^12*f44[t]*g20[t] + 1077924518470800000*Sqrt[14]*lu1^13*f44[t]*g20[t] - 1798376580*Sqrt[3]*f42n[t]*g22n[t] + 43958874960*Sqrt[3]*lu1* f42n[t]*g22n[t] + 927495198630*Sqrt[3]*lu1^2*f42n[t]*g22n[t] - 17149495012650*Sqrt[3]*lu1^3*f42n[t]*g22n[t] + 142181275796560*Sqrt[3]*lu1^4*f42n[t]*g22n[t] - 1103267916971220*Sqrt[3]*lu1^5*f42n[t]*g22n[t] - 788229039928330*Sqrt[3]*lu1^6*f42n[t]*g22n[t] + 26590189360244510*Sqrt[3]*lu1^7*f42n[t]*g22n[t] + 136095850395104600*Sqrt[3]*lu1^8*f42n[t]*g22n[t] - 157821197169716080*Sqrt[3]*lu1^9*f42n[t]*g22n[t] - 2664969806653874720*Sqrt[3]*lu1^10*f42n[t]*g22n[t] - 6336371642183783200*Sqrt[3]*lu1^11*f42n[t]*g22n[t] - 5399760896401872000*Sqrt[3]*lu1^12*f42n[t]*g22n[t] - 1321753540947840000*Sqrt[3]*lu1^13*f42n[t]*g22n[t] + 46744614*Sqrt[70]*f44[t]*g40[t] - 767807235*Sqrt[70]*lu1*f44[ t]*g40[t] - 12237777189*Sqrt[70]*lu1^2*f44[t]*g40[t] - 316843713786*Sqrt[70]*lu1^3*f44[t]*g40[t] - 7098049612238*Sqrt[ 70]*lu1^4*f44[t]*g40[t] + 209221670709417*Sqrt[70]*lu1^5*f44[ t]*g40[t] + 278805298208815*Sqrt[70]*lu1^6*f44[t]*g40[t] - 8286643858430028*Sqrt[70]*lu1^7*f44[t]*g40[t] - 7201597829134482*Sqrt[70]*lu1^8*f44[t]*g40[t] + 78037303966835504*Sqrt[70]*lu1^9*f44[t]*g40[t] + 29935319313434688*Sqrt[70]*lu1^10*f44[t]*g40[t] - 433119902084578560*Sqrt[70]*lu1^11*f44[t]*g40[t] - 586638542393252000*Sqrt[70]*lu1^12*f44[t]*g40[t] - 171222667069664000*Sqrt[70]*lu1^13*f44[t]*g40[t] + 10*(-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)*f42[t]*(143*Sqrt[3]* (259812 - 5348436*lu1 - 164818909*lu1^2 + 1967616482*lu1^3 - 4523442214*lu1^4 + 118178355692*lu1^5 - 181407676213* lu1^6 - 8350629503626*lu1^7 - 14356578497220*lu1^8 + 624746382600*lu1^9 + 7674783732000*lu1^10)*g22[t] + 2*(-18443313 + 611352078*lu1 - 5862383480*lu1^2 - 64463627742* lu1^3 + 3815824516863*lu1^4 - 8343255625802*lu1^5 - 221488266719002*lu1^6 - 560502548879334*lu1^7 + 1976924441985084*lu1^8 + 5970627048700760*lu1^9 + 3796843672062000*lu1^10)*g42[t]) + 1917457920*f42n[t]*g42n[ t] - 99181743570*lu1*f42n[t]*g42n[t] + 1774213437150*lu1^ 2*f42n[t]*g42n[t] + 18923343292980*lu1^3*f42n[t]*g42n[t] - 531938337563360*lu1^4*f42n[t]*g42n[t] - 2445828908075770*lu1^ 5*f42n[t]*g42n[t] + 36583504283175150*lu1^6*f42n[t]*g42n[t] + 185746456030025800*lu1^7*f42n[t]*g42n[t] - 1142579042308065740* lu1^8*f42n[t]*g42n[t] - 4017131158336064720*lu1^9*f42n[t]*g42n[ t] + 7042546975029948480*lu1^10*f42n[t]*g42n[t] + 35222194774277732480*lu1^11*f42n[t]*g42n[t] + 37305671667596315200*lu1^12*f42n[t]*g42n[t] + 10907882393624160000*lu1^13*f42n[t]*g42n[t] + 2460700620*f44[ t]*g44[t] - 137834137350*lu1*f44[t]*g44[t] + 4930815145410*lu1^2*f44[t]*g44[t] - 25427411695560*lu1^3*f44[ t]*g44[t] - 1044932508032140*lu1^4*f44[t]*g44[t] + 4104452683317770*lu1^5*f44[t]*g44[t] + 78916531117573450*lu1^ 6*f44[t]*g44[t] + 124091918809970020*lu1^7*f44[t]*g44[t] - 2650792894059552620*lu1^8*f44[t]*g44[t] - 6948283080044234880* lu1^9*f44[t]*g44[t] + 9097332189809525760*lu1^10*f44[t]*g44[ t] + 43409754730091691200*lu1^11*f44[t]*g44[t] + 43383166208640641600*lu1^12*f44[t]*g44[t] + 12863536240042432000*lu1^13*f44[t]*g44[t] + f40[t]*(2*Sqrt[70]*(-12544184826 + 155443909635*lu1 + 9322449359271*lu1^2 - 4096134912816*lu1^3 - 361700257994378* lu1^4 - 16324639220876513*lu1^5 + 81948843844778315* lu1^6 + 859818526214507442*lu1^7 + 723928867441786858* lu1^8 - 2395424398004064676*lu1^9 - 680449050530950312* lu1^10 + 4465055155063353360*lu1^11 + 2681735698458398400* lu1^12 + 587481117294960000*lu1^13)*f44[t] - (-3 + 13*lu1 + 38*lu1^2)*(286*Sqrt[5]*(-1437723 + 28838547* lu1 + 871128492*lu1^2 - 9833134429*lu1^3 + 64973798939* lu1^4 - 644253049559*lu1^5 - 1586634066150*lu1^6 + 14687895498437*lu1^7 + 95730603986026*lu1^8 + 231864745340020*lu1^9 + 215484629981400*lu1^10 + 53134635708000*lu1^11)*g20[t] - (-486762318 + 15515484777* lu1 - 7596751818*lu1^2 - 4116426596244*lu1^3 + 72192182157214*lu1^4 + 148853682556901*lu1^5 - 3363126883761890*lu1^6 - 12083012743328058*lu1^7 + 42087599261646196*lu1^8 + 206517349375007320*lu1^9 + 242021439154144400*lu1^10 + 77873116829648000*lu1^11)* g40[t] + Sqrt[70]*(15581538 - 188415747*lu1 - 4698361152* lu1^2 - 128360735716*lu1^3 - 2981758966774*lu1^4 + 55193698728049*lu1^5 + 294338846978680*lu1^6 - 787626098680442*lu1^7 - 2085286975596796*lu1^8 + 6999593844740120*lu1^9 + 13896378074126000*lu1^10 + 4505859659728000*lu1^11)*g44[t])) + 2460700620*f44n[t]* g44n[t] - 137834137350*lu1*f44n[t]*g44n[t] + 4930815145410*lu1^ 2*f44n[t]*g44n[t] - 25427411695560*lu1^3*f44n[t]*g44n[t] - 1044932508032140*lu1^4*f44n[t]*g44n[t] + 4104452683317770*lu1^ 5*f44n[t]*g44n[t] + 78916531117573450*lu1^6*f44n[t]*g44n[t] + 124091918809970020*lu1^7*f44n[t]*g44n[t] - 2650792894059552620* lu1^8*f44n[t]*g44n[t] - 6948283080044234880*lu1^9*f44n[t]*g44n[ t] + 9097332189809525760*lu1^10*f44n[t]*g44n[t] + 43409754730091691200*lu1^11*f44n[t]*g44n[t] + 43383166208640641600*lu1^12*f44n[t]*g44n[t] + 12863536240042432000*lu1^13*f44n[t]*g44n[t])) - 3*f22n[t]*(10*f42[t]*(3*(-12544184826 + 155443909635*lu1 + 9322449359271*lu1^2 - 4096134912816*lu1^3 - 361700257994378* lu1^4 - 16324639220876513*lu1^5 + 81948843844778315*lu1^6 + 859818526214507442*lu1^7 + 723928867441786858*lu1^8 - 2395424398004064676*lu1^9 - 680449050530950312*lu1^10 + 4465055155063353360*lu1^11 + 2681735698458398400*lu1^12 + 587481117294960000*lu1^13)*f42n[t] + 7*(-3 + 13*lu1 + 38*lu1^2)^2*(143*Sqrt[3]*(-21348 + 305007*lu1 + 14025571* lu1^2 - 43523077*lu1^3 + 1102977699*lu1^4 - 15584023934* lu1^5 - 121482649870*lu1^6 - 33338878200*lu1^7 + 195598829400*lu1^8 + 86356116000*lu1^9)*g22n[t] + (4575114 - 117717288*lu1 + 173955341*lu1^2 + 11741524049* lu1^3 - 351582673363*lu1^4 + 1712593515559*lu1^5 + 39193992326672*lu1^6 - 11878565524324*lu1^7 - 107273202247360*lu1^8 - 36351661248000*lu1^9)*g42n[t])) + Sqrt[70]*f40[t]*(2*(-12544184826 + 155443909635*lu1 + 9322449359271*lu1^2 - 4096134912816*lu1^3 - 361700257994378* lu1^4 - 16324639220876513*lu1^5 + 81948843844778315*lu1^6 + 859818526214507442*lu1^7 + 723928867441786858*lu1^8 - 2395424398004064676*lu1^9 - 680449050530950312*lu1^10 + 4465055155063353360*lu1^11 + 2681735698458398400*lu1^12 + 587481117294960000*lu1^13)*f44n[t] - (-46744614 + 767807235*lu1 + 12237777189*lu1^2 + 316843713786*lu1^3 + 7098049612238*lu1^4 - 209221670709417*lu1^5 - 278805298208815* lu1^6 + 8286643858430028*lu1^7 + 7201597829134482*lu1^8 - 78037303966835504*lu1^9 - 29935319313434688*lu1^10 + 433119902084578560*lu1^11 + 586638542393252000*lu1^12 + 171222667069664000*lu1^13)*g44n[t]) + (-3 + 13*lu1 + 38*lu1^2)*(f44n[t]*(1430*Sqrt[14]*(180117 - 3547701*lu1 - 128866461*lu1^2 + 1377300091*lu1^3 + 7213703581*lu1^4 + 78442299677*lu1^5 - 502046603583*lu1^6 - 12311243218295*lu1^7 - 16716475902142*lu1^8 + 30269598360020*lu1^9 + 57661232373000*lu1^10 + 19836667620000*lu1^11)*g20[t] + Sqrt[70]*(-15581538 + 188415747*lu1 + 4698361152*lu1^2 + 128360735716*lu1^3 + 2981758966774*lu1^4 - 55193698728049*lu1^5 - 294338846978680*lu1^6 + 787626098680442*lu1^7 + 2085286975596796*lu1^8 - 6999593844740120*lu1^9 - 13896378074126000*lu1^10 - 4505859659728000*lu1^11)* g40[t] + 910*(3128706 - 93562569*lu1 - 319134930*lu1^2 + 22055476328*lu1^3 - 168945434*lu1^4 - 720682673725*lu1^5 - 1366526298354*lu1^6 - 114545457218738*lu1^7 - 261603923945468*lu1^8 - 75942982105640*lu1^9 + 127610104291920*lu1^10 + 45069575734400*lu1^11)*g44[t]) + 10*((3 + 2*lu1)*f42n[t]*(143*Sqrt[3]*(-29358 + 437043*lu1 + 4617638*lu1^2 + 157973822*lu1^3 + 12501263106*lu1^4 - 94725420533*lu1^5 - 747007967770*lu1^6 - 2876105146212* lu1^7 + 3925018895720*lu1^8 + 15190428496800*lu1^9 + 8351304192000*lu1^10)*g22[t] - (-16444260 + 785346567* lu1 - 9604710545*lu1^2 - 209309217888*lu1^3 - 9557171586* lu1^4 + 33588322940527*lu1^5 + 18363691665395*lu1^6 + 624015791168178*lu1^7 + 1364499078083028*lu1^8 + 2037202810094120*lu1^9 + 1924018543608000*lu1^10)* g42[t]) - 91*(3128706 - 93562569*lu1 - 319134930*lu1^2 + 22055476328*lu1^3 - 168945434*lu1^4 - 720682673725*lu1^5 - 1366526298354*lu1^6 - 114545457218738*lu1^7 - 261603923945468*lu1^8 - 75942982105640*lu1^9 + 127610104291920*lu1^10 + 45069575734400*lu1^11)*f44[t]* g44n[t]))) - 3*(-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)*(20*Sqrt[3]*(183415395 - 823899053*lu1 - 134391154003*lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^ 4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f42[t]^3 - 10*(-3 + 13*lu1 + 38*lu1^2)* f42[t]^2*(33*(-340071 + 2819428*lu1 + 212133694*lu1^2 + 1176153888*lu1^3 + 39401329645*lu1^4 - 228898219580*lu1^5 - 346390485900*lu1^6 + 69954192000*lu1^7)*g22[t] - 2*Sqrt[3]*(544266 + 4634282*lu1 + 673466061*lu1^2 - 11131315363*lu1^3 - 156174206835*lu1^4 + 533782425345*lu1^5 - 462190511200*lu1^6 + 904476800500*lu1^7)*g42[t]) + 5*f40[t]^2*(2*Sqrt[3]*(183415395 - 823899053*lu1 - 134391154003* lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f42[t] + (-3 + 13*lu1 + 38*lu1^2)*( 33*(-84333 + 2220368*lu1 + 82051700*lu1^2 - 1457277822* lu1^3 - 22423010947*lu1^4 + 56010360950*lu1^5 - 349816900500*lu1^6 + 62265357000*lu1^7)*g22[t] + Sqrt[3]*(-3605949 + 74098384*lu1 + 4776835500*lu1^2 - 35815049606*lu1^3 - 316772764491*lu1^4 - 171444847170* lu1^5 - 10201197079700*lu1^6 + 3539679521000*lu1^7)* g42[t])) - (-3 + 13*lu1 + 38*lu1^2)* (70*(f44[t]^2 + f44n[t]^2)*(33*(-40983 + 683272*lu1 + 32213848*lu1^2 - 253181838*lu1^3 - 2521239269*lu1^4 - 2120126210*lu1^5 - 101338686300*lu1^6 + 18573093000*lu1^7)* g22[t] + Sqrt[3]*(-421083 + 10491056*lu1 + 445933140*lu1^2 - 6519306346*lu1^3 - 93617434557*lu1^4 + 206340651378*lu1^5 - 1610772227020*lu1^6 + 335963047000*lu1^7)*g42[t]) - 10*f42n[t]^2*(66*(-282147 + 3075256*lu1 + 190248928*lu1^2 + 129555426*lu1^3 + 17112389935*lu1^4 - 135342110210*lu1^5 - 415091748300*lu1^6 + 79773309000*lu1^7)*g22[t] - Sqrt[3]*(5883993 - 45301204*lu1 + 1746916146*lu1^2 - 16242700348*lu1^3 - 112448560407*lu1^4 + 950395289016* lu1^5 + 9039366776660*lu1^6 + 3669088570000*lu1^7)* g42[t]) + Sqrt[3]*f42n[t]*(f44n[t]*(165*Sqrt[14]*(-161565 + 1879264*lu1 + 111231388*lu1^2 - 61813206*lu1^3 + 7295575333*lu1^4 - 68731118210*lu1^5 - 258215217300* lu1^6 + 49173201000*lu1^7)*g20[t] + Sqrt[70]*(6871545 - 46292692*lu1 - 736039134*lu1^2 - 30972842572*lu1^3 - 620272476519*lu1^4 + 3374139399240*lu1^5 + 7428054012500* lu1^6 + 1887181282000*lu1^7)*g40[t] - 70*(2351781 - 22204604*lu1 + 9132702*lu1^2 - 2704711688*lu1^3 - 31496109999*lu1^4 + 448542896556*lu1^5 + 3907935658660* lu1^6 + 801064460000*lu1^7)*g44[t]) + 70*(2351781 - 22204604*lu1 + 9132702*lu1^2 - 2704711688*lu1^3 - 31496109999*lu1^4 + 448542896556*lu1^5 + 3907935658660* lu1^6 + 801064460000*lu1^7)*f44[t]*g44n[t])) - f40[t]*(Sqrt[3]*f42[t]*(16*Sqrt[70]*(183415395 - 823899053*lu1 - 134391154003*lu1^2 - 1116267585104*lu1^3 + 11971763524253* lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f44[t] + 33*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*(15*Sqrt[5]* (263 - 92327*lu1 - 2648207*lu1^2 + 8966003*lu1^3 - 21277760*lu1^4 + 3624700*lu1^5)*g20[t] + 5*(47419 - 196463*lu1 - 32001*lu1^2 - 14692733*lu1^3 - 121980110*lu1^4 + 22704000*lu1^5)*g40[t] + Sqrt[70]* (116513 - 951949*lu1 - 13697067*lu1^2 + 10428521*lu1^3 - 405665890*lu1^4 + 73779600*lu1^5)*g44[t])) + Sqrt[70]*(42*(-3 + 13*lu1 + 38*lu1^2)^2*(f44[t]* (165*(957 - 5345*lu1 - 638163*lu1^2 - 4351875*lu1^3 - 104852750*lu1^4 + 19173000*lu1^5)*g22[t] + Sqrt[3]* (-106123 + 217155*lu1 - 17742233*lu1^2 + 405396305* lu1^3 + 8552049300*lu1^4 + 4361045500*lu1^5)*g42[t]) + f44n[t]*(165*(957 - 5345*lu1 - 638163*lu1^2 - 4351875* lu1^3 - 104852750*lu1^4 + 19173000*lu1^5)*g22n[t] + Sqrt[3]*(-106123 + 217155*lu1 - 17742233*lu1^2 + 405396305*lu1^3 + 8552049300*lu1^4 + 4361045500*lu1^5)* g42n[t])) + Sqrt[3]*f42n[t]*(16*(183415395 - 823899053* lu1 - 134391154003*lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f44n[t] + 33*(1048617 - 23248179*lu1 - 780120200*lu1^2 + 11793613830* lu1^3 + 66944793905*lu1^4 - 527728204031*lu1^5 + 1817610433542*lu1^6 - 12205663507300*lu1^7 - 33312445317000*lu1^8 + 6476373288000*lu1^9)*g44n[t]))) + f42[t]*(20*Sqrt[3]*(183415395 - 823899053*lu1 - 134391154003* lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f42n[t]^2 - 210*(-3 + 13*lu1 + 38*lu1^2)^2*f42n[t]*(495*(957 - 5345*lu1 - 638163*lu1^2 - 4351875*lu1^3 - 104852750*lu1^4 + 19173000*lu1^5)*g22n[t] - Sqrt[3]*(-110675 + 92355*lu1 - 50110381*lu1^2 + 395220577* lu1^3 + 7820700120*lu1^4 + 6864714500*lu1^5)*g42n[t]) - Sqrt[3]*(140*(183415395 - 823899053*lu1 - 134391154003*lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f44[t]^2 + (-3 + 13*lu1 + 38*lu1^2)* f44[t]*(165*Sqrt[14]*(-161565 + 1879264*lu1 + 111231388* lu1^2 - 61813206*lu1^3 + 7295575333*lu1^4 - 68731118210* lu1^5 - 258215217300*lu1^6 + 49173201000*lu1^7)*g20[t] + Sqrt[70]*(6871545 - 46292692*lu1 - 736039134*lu1^2 - 30972842572*lu1^3 - 620272476519*lu1^4 + 3374139399240* lu1^5 + 7428054012500*lu1^6 + 1887181282000*lu1^7)* g40[t] + 70*(1509615 - 1222492*lu1 + 900998982*lu1^2 - 15743324380*lu1^3 - 218730979113*lu1^4 + 861224199312* lu1^5 + 686391204620*lu1^6 + 1472990554000*lu1^7)* g44[t]) + 70*f44n[t]*(2*(183415395 - 823899053*lu1 - 134391154003*lu1^2 - 1116267585104*lu1^3 + 11971763524253* lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f44n[t] + (-4528845 + 23292471* lu1 - 2661523972*lu1^2 + 58896505210*lu1^3 + 485767681715*lu1^4 - 6025421652845*lu1^5 + 824963770902* lu1^6 + 37230633571916*lu1^7 + 45231742977560*lu1^8 + 55973641052000*lu1^9)*g44n[t])))))))/ (231231*(-3 + 13*lu1 + 38*lu1^2)^3*(-1 + 7*lu1 + 170*lu1^2)^2* (-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*Pi) eqG22nf = (mar*(46008579474*f22n[t]^3 - 3553859457720*lu1*f22n[t]^3 + 27405647212086*lu1^2*f22n[t]^3 + 2529817190967924*lu1^3*f22n[t]^3 - 34071958606223538*lu1^4*f22n[t]^3 - 326735745352761888*lu1^5* f22n[t]^3 + 3632123327845433850*lu1^6*f22n[t]^3 + 16401834054304184772*lu1^7*f22n[t]^3 + 5355533227566467088*lu1^8* f22n[t]^3 + 32298627981577804704*lu1^9*f22n[t]^3 - 240297682744897775712*lu1^10*f22n[t]^3 - 512240677621673457600*lu1^11* f22n[t]^3 - 74686307545142092800*lu1^12*f22n[t]^3 + 99782074851338880000*lu1^13*f22n[t]^3 + 131569490862*f22n[t]* f40[t]^2 - 17056693021320*lu1*f22n[t]*f40[t]^2 + 480811788218358*lu1^2*f22n[t]*f40[t]^2 + 4078003849599552*lu1^3* f22n[t]*f40[t]^2 - 219283836523505334*lu1^4*f22n[t]*f40[t]^2 + 474107669028587256*lu1^5*f22n[t]*f40[t]^2 - 307489188652842750*lu1^6* f22n[t]*f40[t]^2 + 26426694507501700416*lu1^7*f22n[t]*f40[t]^2 + 97113070449776067024*lu1^8*f22n[t]*f40[t]^2 - 30121965836024532528* lu1^9*f22n[t]*f40[t]^2 - 639130333708590133056*lu1^10*f22n[t]* f40[t]^2 - 1306353495780442752960*lu1^11*f22n[t]*f40[t]^2 - 937300748427893404800*lu1^12*f22n[t]*f40[t]^2 - 96132659917170240000*lu1^13*f22n[t]*f40[t]^2 - 854368818876*f22n[t]* f42[t]^2 + 13155987884040*lu1*f22n[t]*f42[t]^2 + 930848353418916*lu1^2*f22n[t]*f42[t]^2 - 16802893504498056*lu1^3* f22n[t]*f42[t]^2 + 80597037988025532*lu1^4*f22n[t]*f42[t]^2 - 52383528929034888*lu1^5*f22n[t]*f42[t]^2 - 9227660938063882260*lu1^6* f22n[t]*f42[t]^2 + 43515349425204219432*lu1^7*f22n[t]*f42[t]^2 + 66968367837127471728*lu1^8*f22n[t]*f42[t]^2 + 140997593504843250144* lu1^9*f22n[t]*f42[t]^2 + 218140930633083141888*lu1^10*f22n[t]* f42[t]^2 - 1774241566020935592960*lu1^11*f22n[t]*f42[t]^2 - 2460116230643822016000*lu1^12*f22n[t]*f42[t]^2 - 83507919397523712000*lu1^13*f22n[t]*f42[t]^2 - 146821474800*Sqrt[3]* f22n[t]^2*f42n[t] + 10604952329400*Sqrt[3]*lu1*f22n[t]^2*f42n[t] - 96672947342400*Sqrt[3]*lu1^2*f22n[t]^2*f42n[t] - 6694010018209800*Sqrt[3]*lu1^3*f22n[t]^2*f42n[t] + 109151454779109600*Sqrt[3]*lu1^4*f22n[t]^2*f42n[t] + 593219860679932200*Sqrt[3]*lu1^5*f22n[t]^2*f42n[t] - 6815482843215904000*Sqrt[3]*lu1^6*f22n[t]^2*f42n[t] - 53577281531877331800*Sqrt[3]*lu1^7*f22n[t]^2*f42n[t] - 224632777941931959600*Sqrt[3]*lu1^8*f22n[t]^2*f42n[t] - 70588423354618540800*Sqrt[3]*lu1^9*f22n[t]^2*f42n[t] + 523413311650994793600*Sqrt[3]*lu1^10*f22n[t]^2*f42n[t] + 599187825149741942400*Sqrt[3]*lu1^11*f22n[t]^2*f42n[t] + 269780868786581152000*Sqrt[3]*lu1^12*f22n[t]^2*f42n[t] + 57280302247808640000*Sqrt[3]*lu1^13*f22n[t]^2*f42n[t] + 423021702150*Sqrt[3]*f40[t]^2*f42n[t] - 9812005267500*Sqrt[3]*lu1* f40[t]^2*f42n[t] - 197151957019350*Sqrt[3]*lu1^2*f40[t]^2*f42n[t] + 1997172064996200*Sqrt[3]*lu1^3*f40[t]^2*f42n[t] + 24653348779879650*Sqrt[3]*lu1^4*f40[t]^2*f42n[t] + 90355486881592500*Sqrt[3]*lu1^5*f40[t]^2*f42n[t] - 3468428693484545850*Sqrt[3]*lu1^6*f40[t]^2*f42n[t] + 1684429718152978800*Sqrt[3]*lu1^7*f40[t]^2*f42n[t] + 52032763869228995400*Sqrt[3]*lu1^8*f40[t]^2*f42n[t] + 72248165296715656800*Sqrt[3]*lu1^9*f40[t]^2*f42n[t] - 57269955611935797600*Sqrt[3]*lu1^10*f40[t]^2*f42n[t] - 198815718618403123200*Sqrt[3]*lu1^11*f40[t]^2*f42n[t] - 163413203977848720000*Sqrt[3]*lu1^12*f40[t]^2*f42n[t] - 45321460139067840000*Sqrt[3]*lu1^13*f40[t]^2*f42n[t] + 846043404300*Sqrt[3]*f42[t]^2*f42n[t] - 19624010535000*Sqrt[3]*lu1* f42[t]^2*f42n[t] - 394303914038700*Sqrt[3]*lu1^2*f42[t]^2*f42n[t] + 3994344129992400*Sqrt[3]*lu1^3*f42[t]^2*f42n[t] + 49306697559759300*Sqrt[3]*lu1^4*f42[t]^2*f42n[t] + 180710973763185000*Sqrt[3]*lu1^5*f42[t]^2*f42n[t] - 6936857386969091700*Sqrt[3]*lu1^6*f42[t]^2*f42n[t] + 3368859436305957600*Sqrt[3]*lu1^7*f42[t]^2*f42n[t] + 104065527738457990800*Sqrt[3]*lu1^8*f42[t]^2*f42n[t] + 144496330593431313600*Sqrt[3]*lu1^9*f42[t]^2*f42n[t] - 114539911223871595200*Sqrt[3]*lu1^10*f42[t]^2*f42n[t] - 397631437236806246400*Sqrt[3]*lu1^11*f42[t]^2*f42n[t] - 326826407955697440000*Sqrt[3]*lu1^12*f42[t]^2*f42n[t] - 90642920278135680000*Sqrt[3]*lu1^13*f42[t]^2*f42n[t] + 1525247318124*f22n[t]*f42n[t]^2 - 80921316477960*lu1*f22n[t]* f42n[t]^2 + 700559021216916*lu1^2*f22n[t]*f42n[t]^2 + 27693430064727744*lu1^3*f22n[t]*f42n[t]^2 - 590095745397722268*lu1^4* f22n[t]*f42n[t]^2 - 107236987690403688*lu1^5*f22n[t]*f42n[t]^2 - 837326523623830260*lu1^6*f22n[t]*f42n[t]^2 + 171432598111137720432* lu1^7*f22n[t]*f42n[t]^2 + 1165975825609550309328*lu1^8*f22n[t]* f42n[t]^2 + 1920214416286639460544*lu1^9*f22n[t]*f42n[t]^2 - 1567662965736489035712*lu1^10*f22n[t]*f42n[t]^2 - 5652614507267124168960*lu1^11*f22n[t]*f42n[t]^2 - 3591538717728152352000*lu1^12*f22n[t]*f42n[t]^2 - 587447200768401792000*lu1^13*f22n[t]*f42n[t]^2 + 846043404300*Sqrt[3]*f42n[t]^3 - 19624010535000*Sqrt[3]*lu1* f42n[t]^3 - 394303914038700*Sqrt[3]*lu1^2*f42n[t]^3 + 3994344129992400*Sqrt[3]*lu1^3*f42n[t]^3 + 49306697559759300*Sqrt[3]* lu1^4*f42n[t]^3 + 180710973763185000*Sqrt[3]*lu1^5*f42n[t]^3 - 6936857386969091700*Sqrt[3]*lu1^6*f42n[t]^3 + 3368859436305957600* Sqrt[3]*lu1^7*f42n[t]^3 + 104065527738457990800*Sqrt[3]*lu1^8* f42n[t]^3 + 144496330593431313600*Sqrt[3]*lu1^9*f42n[t]^3 - 114539911223871595200*Sqrt[3]*lu1^10*f42n[t]^3 - 397631437236806246400*Sqrt[3]*lu1^11*f42n[t]^3 - 326826407955697440000*Sqrt[3]*lu1^12*f42n[t]^3 - 90642920278135680000*Sqrt[3]*lu1^13*f42n[t]^3 - 158641075800*Sqrt[70]*f22n[t]*f40[t]*f44[t] + 6271820290800*Sqrt[70]* lu1*f22n[t]*f40[t]*f44[t] + 15352622146800*Sqrt[70]*lu1^2*f22n[t]* f40[t]*f44[t] - 2966421571281720*Sqrt[70]*lu1^3*f22n[t]*f40[t]* f44[t] + 44712852225716520*Sqrt[70]*lu1^4*f22n[t]*f40[t]*f44[t] + 3656897250757920*Sqrt[70]*lu1^5*f22n[t]*f40[t]*f44[t] - 559355627629336800*Sqrt[70]*lu1^6*f22n[t]*f40[t]*f44[t] - 8527816579062233400*Sqrt[70]*lu1^7*f22n[t]*f40[t]*f44[t] - 73267163851494855840*Sqrt[70]*lu1^8*f22n[t]*f40[t]*f44[t] - 118614454852119747360*Sqrt[70]*lu1^9*f22n[t]*f40[t]*f44[t] + 119053593091304811840*Sqrt[70]*lu1^10*f22n[t]*f40[t]*f44[t] + 258558196083079238400*Sqrt[70]*lu1^11*f22n[t]*f40[t]*f44[t] + 75428165805622022400*Sqrt[70]*lu1^12*f22n[t]*f40[t]*f44[t] + 33595952091391872000*Sqrt[70]*lu1^13*f22n[t]*f40[t]*f44[t] + 676834723440*Sqrt[210]*f40[t]*f42n[t]*f44[t] - 15699208428000*Sqrt[210]*lu1*f40[t]*f42n[t]*f44[t] - 315443131230960*Sqrt[210]*lu1^2*f40[t]*f42n[t]*f44[t] + 3195475303993920*Sqrt[210]*lu1^3*f40[t]*f42n[t]*f44[t] + 39445358047807440*Sqrt[210]*lu1^4*f40[t]*f42n[t]*f44[t] + 144568779010548000*Sqrt[210]*lu1^5*f40[t]*f42n[t]*f44[t] - 5549485909575273360*Sqrt[210]*lu1^6*f40[t]*f42n[t]*f44[t] + 2695087549044766080*Sqrt[210]*lu1^7*f40[t]*f42n[t]*f44[t] + 83252422190766392640*Sqrt[210]*lu1^8*f40[t]*f42n[t]*f44[t] + 115597064474745050880*Sqrt[210]*lu1^9*f40[t]*f42n[t]*f44[t] - 91631928979097276160*Sqrt[210]*lu1^10*f40[t]*f42n[t]*f44[t] - 318105149789444997120*Sqrt[210]*lu1^11*f40[t]*f42n[t]*f44[t] - 261461126364557952000*Sqrt[210]*lu1^12*f40[t]*f42n[t]*f44[t] - 72514336222508544000*Sqrt[210]*lu1^13*f40[t]*f42n[t]*f44[t] + 1821468659724*f22n[t]*f44[t]^2 - 83365061386320*lu1*f22n[t]* f44[t]^2 + 255123042787116*lu1^2*f22n[t]*f44[t]^2 + 21044422593115824*lu1^3*f22n[t]*f44[t]^2 - 60997213484093628*lu1^4* f22n[t]*f44[t]^2 - 3193142225416464048*lu1^5*f22n[t]*f44[t]^2 - 13810194770423674140*lu1^6*f22n[t]*f44[t]^2 + 339558260660171544432* lu1^7*f22n[t]*f44[t]^2 + 2469347275006658006688*lu1^8*f22n[t]* f44[t]^2 + 5252071453416070595424*lu1^9*f22n[t]*f44[t]^2 + 183309187314290515968*lu1^10*f22n[t]*f44[t]^2 - 9084056740558096913280*lu1^11*f22n[t]*f44[t]^2 - 7082930732621564486400*lu1^12*f22n[t]*f44[t]^2 - 1033881897559964544000*lu1^13*f22n[t]*f44[t]^2 - 5922303830100*Sqrt[3]*f42n[t]*f44[t]^2 + 137368073745000*Sqrt[3]*lu1* f42n[t]*f44[t]^2 + 2760127398270900*Sqrt[3]*lu1^2*f42n[t]*f44[t]^2 - 27960408909946800*Sqrt[3]*lu1^3*f42n[t]*f44[t]^2 - 345146882918315100*Sqrt[3]*lu1^4*f42n[t]*f44[t]^2 - 1264976816342295000*Sqrt[3]*lu1^5*f42n[t]*f44[t]^2 + 48558001708783641900*Sqrt[3]*lu1^6*f42n[t]*f44[t]^2 - 23582016054141703200*Sqrt[3]*lu1^7*f42n[t]*f44[t]^2 - 728458694169205935600*Sqrt[3]*lu1^8*f42n[t]*f44[t]^2 - 1011474314154019195200*Sqrt[3]*lu1^9*f42n[t]*f44[t]^2 + 801779378567101166400*Sqrt[3]*lu1^10*f42n[t]*f44[t]^2 + 2783420060657643724800*Sqrt[3]*lu1^11*f42n[t]*f44[t]^2 + 2287784855689882080000*Sqrt[3]*lu1^12*f42n[t]*f44[t]^2 + 634500441946949760000*Sqrt[3]*lu1^13*f42n[t]*f44[t]^2 - 676834723440*Sqrt[210]*f40[t]*f42[t]*f44n[t] + 15699208428000*Sqrt[210]*lu1*f40[t]*f42[t]*f44n[t] + 315443131230960*Sqrt[210]*lu1^2*f40[t]*f42[t]*f44n[t] - 3195475303993920*Sqrt[210]*lu1^3*f40[t]*f42[t]*f44n[t] - 39445358047807440*Sqrt[210]*lu1^4*f40[t]*f42[t]*f44n[t] - 144568779010548000*Sqrt[210]*lu1^5*f40[t]*f42[t]*f44n[t] + 5549485909575273360*Sqrt[210]*lu1^6*f40[t]*f42[t]*f44n[t] - 2695087549044766080*Sqrt[210]*lu1^7*f40[t]*f42[t]*f44n[t] - 83252422190766392640*Sqrt[210]*lu1^8*f40[t]*f42[t]*f44n[t] - 115597064474745050880*Sqrt[210]*lu1^9*f40[t]*f42[t]*f44n[t] + 91631928979097276160*Sqrt[210]*lu1^10*f40[t]*f42[t]*f44n[t] + 318105149789444997120*Sqrt[210]*lu1^11*f40[t]*f42[t]*f44n[t] + 261461126364557952000*Sqrt[210]*lu1^12*f40[t]*f42[t]*f44n[t] + 72514336222508544000*Sqrt[210]*lu1^13*f40[t]*f42[t]*f44n[t] + 1821468659724*f22n[t]*f44n[t]^2 - 83365061386320*lu1*f22n[t]* f44n[t]^2 + 255123042787116*lu1^2*f22n[t]*f44n[t]^2 + 21044422593115824*lu1^3*f22n[t]*f44n[t]^2 - 60997213484093628*lu1^4* f22n[t]*f44n[t]^2 - 3193142225416464048*lu1^5*f22n[t]*f44n[t]^2 - 13810194770423674140*lu1^6*f22n[t]*f44n[t]^2 + 339558260660171544432* lu1^7*f22n[t]*f44n[t]^2 + 2469347275006658006688*lu1^8*f22n[t]* f44n[t]^2 + 5252071453416070595424*lu1^9*f22n[t]*f44n[t]^2 + 183309187314290515968*lu1^10*f22n[t]*f44n[t]^2 - 9084056740558096913280*lu1^11*f22n[t]*f44n[t]^2 - 7082930732621564486400*lu1^12*f22n[t]*f44n[t]^2 - 1033881897559964544000*lu1^13*f22n[t]*f44n[t]^2 - 5922303830100*Sqrt[3]*f42n[t]*f44n[t]^2 + 137368073745000*Sqrt[3]*lu1* f42n[t]*f44n[t]^2 + 2760127398270900*Sqrt[3]*lu1^2*f42n[t]* f44n[t]^2 - 27960408909946800*Sqrt[3]*lu1^3*f42n[t]*f44n[t]^2 - 345146882918315100*Sqrt[3]*lu1^4*f42n[t]*f44n[t]^2 - 1264976816342295000*Sqrt[3]*lu1^5*f42n[t]*f44n[t]^2 + 48558001708783641900*Sqrt[3]*lu1^6*f42n[t]*f44n[t]^2 - 23582016054141703200*Sqrt[3]*lu1^7*f42n[t]*f44n[t]^2 - 728458694169205935600*Sqrt[3]*lu1^8*f42n[t]*f44n[t]^2 - 1011474314154019195200*Sqrt[3]*lu1^9*f42n[t]*f44n[t]^2 + 801779378567101166400*Sqrt[3]*lu1^10*f42n[t]*f44n[t]^2 + 2783420060657643724800*Sqrt[3]*lu1^11*f42n[t]*f44n[t]^2 + 2287784855689882080000*Sqrt[3]*lu1^12*f42n[t]*f44n[t]^2 + 634500441946949760000*Sqrt[3]*lu1^13*f42n[t]*f44n[t]^2 - 47499033582*Sqrt[5]*f22n[t]*f40[t]*g20[t] - 159395632110*Sqrt[5]*lu1* f22n[t]*f40[t]*g20[t] + 76947412249422*Sqrt[5]*lu1^2*f22n[t]*f40[t]* g20[t] + 294720163135398*Sqrt[5]*lu1^3*f22n[t]*f40[t]*g20[t] - 31572040986208866*Sqrt[5]*lu1^4*f22n[t]*f40[t]*g20[t] - 108701601736485186*Sqrt[5]*lu1^5*f22n[t]*f40[t]*g20[t] + 3026480341301060930*Sqrt[5]*lu1^6*f22n[t]*f40[t]*g20[t] + 21673610857719671994*Sqrt[5]*lu1^7*f22n[t]*f40[t]*g20[t] + 26540017610273714976*Sqrt[5]*lu1^8*f22n[t]*f40[t]*g20[t] - 66920389294160502672*Sqrt[5]*lu1^9*f22n[t]*f40[t]*g20[t] - 96352535691528683424*Sqrt[5]*lu1^10*f22n[t]*f40[t]*g20[t] + 75397336722975764640*Sqrt[5]*lu1^11*f22n[t]*f40[t]*g20[t] + 120005990943725286400*Sqrt[5]*lu1^12*f22n[t]*f40[t]*g20[t] + 22476315430785216000*Sqrt[5]*lu1^13*f22n[t]*f40[t]*g20[t] + 21854624742*Sqrt[15]*f40[t]*f42n[t]*g20[t] - 886556729070*Sqrt[15]* lu1*f40[t]*f42n[t]*g20[t] - 30789779083362*Sqrt[15]*lu1^2*f40[t]* f42n[t]*g20[t] + 1032412710781962*Sqrt[15]*lu1^3*f40[t]*f42n[t]* g20[t] + 10160570430973866*Sqrt[15]*lu1^4*f40[t]*f42n[t]*g20[t] - 26357984747516034*Sqrt[15]*lu1^5*f40[t]*f42n[t]*g20[t] - 2270138891470163430*Sqrt[15]*lu1^6*f40[t]*f42n[t]*g20[t] - 28622827833339967074*Sqrt[15]*lu1^7*f40[t]*f42n[t]*g20[t] - 128015679262566499656*Sqrt[15]*lu1^8*f40[t]*f42n[t]*g20[t] - 213026460122798853528*Sqrt[15]*lu1^9*f40[t]*f42n[t]*g20[t] - 8162802661054688256*Sqrt[15]*lu1^10*f40[t]*f42n[t]*g20[t] + 265260634068923539680*Sqrt[15]*lu1^11*f40[t]*f42n[t]*g20[t] + 151073614709733158400*Sqrt[15]*lu1^12*f40[t]*f42n[t]*g20[t] - 11446146744767280000*Sqrt[15]*lu1^13*f40[t]*f42n[t]*g20[t] + 35203864410*Sqrt[14]*f22n[t]*f44[t]*g20[t] + 497470274730*Sqrt[14]* lu1*f22n[t]*f44[t]*g20[t] - 61750125161010*Sqrt[14]*lu1^2*f22n[t]* f44[t]*g20[t] - 572272529593050*Sqrt[14]*lu1^3*f22n[t]*f44[t]* g20[t] + 24645259161438630*Sqrt[14]*lu1^4*f22n[t]*f44[t]*g20[t] + 136609619124311190*Sqrt[14]*lu1^5*f22n[t]*f44[t]*g20[t] - 2000912115379395790*Sqrt[14]*lu1^6*f22n[t]*f44[t]*g20[t] - 14773751191841769270*Sqrt[14]*lu1^7*f22n[t]*f44[t]*g20[t] - 38126414789698778400*Sqrt[14]*lu1^8*f22n[t]*f44[t]*g20[t] - 4511315833827213840*Sqrt[14]*lu1^9*f22n[t]*f44[t]*g20[t] + 117425608660971193440*Sqrt[14]*lu1^10*f22n[t]*f44[t]*g20[t] + 154712571634303082400*Sqrt[14]*lu1^11*f22n[t]*f44[t]*g20[t] + 43101716806115968000*Sqrt[14]*lu1^12*f22n[t]*f44[t]*g20[t] - 18648775192407360000*Sqrt[14]*lu1^13*f22n[t]*f44[t]*g20[t] - 44451073890*Sqrt[42]*f42n[t]*f44[t]*g20[t] - 713296097190*Sqrt[42]* lu1*f42n[t]*f44[t]*g20[t] + 86251675108950*Sqrt[42]*lu1^2*f42n[t]* f44[t]*g20[t] + 614907180865650*Sqrt[42]*lu1^3*f42n[t]*f44[t]* g20[t] - 33795916942708590*Sqrt[42]*lu1^4*f42n[t]*f44[t]*g20[t] - 187558553548676490*Sqrt[42]*lu1^5*f42n[t]*f44[t]*g20[t] + 2579421062817921090*Sqrt[42]*lu1^6*f42n[t]*f44[t]*g20[t] + 27882903551394168150*Sqrt[42]*lu1^7*f42n[t]*f44[t]*g20[t] + 95518094455067830200*Sqrt[42]*lu1^8*f42n[t]*f44[t]*g20[t] + 92786443149688803720*Sqrt[42]*lu1^9*f42n[t]*f44[t]*g20[t] - 98377928284481819520*Sqrt[42]*lu1^10*f42n[t]*f44[t]*g20[t] - 156762849778213337760*Sqrt[42]*lu1^11*f42n[t]*f44[t]*g20[t] - 8660476773145843200*Sqrt[42]*lu1^12*f42n[t]*f44[t]*g20[t] + 7257369174151824000*Sqrt[42]*lu1^13*f42n[t]*f44[t]*g20[t] + 44451073890*Sqrt[42]*f42[t]*f44n[t]*g20[t] + 713296097190*Sqrt[42]* lu1*f42[t]*f44n[t]*g20[t] - 86251675108950*Sqrt[42]*lu1^2*f42[t]* f44n[t]*g20[t] - 614907180865650*Sqrt[42]*lu1^3*f42[t]*f44n[t]* g20[t] + 33795916942708590*Sqrt[42]*lu1^4*f42[t]*f44n[t]*g20[t] + 187558553548676490*Sqrt[42]*lu1^5*f42[t]*f44n[t]*g20[t] - 2579421062817921090*Sqrt[42]*lu1^6*f42[t]*f44n[t]*g20[t] - 27882903551394168150*Sqrt[42]*lu1^7*f42[t]*f44n[t]*g20[t] - 95518094455067830200*Sqrt[42]*lu1^8*f42[t]*f44n[t]*g20[t] - 92786443149688803720*Sqrt[42]*lu1^9*f42[t]*f44n[t]*g20[t] + 98377928284481819520*Sqrt[42]*lu1^10*f42[t]*f44n[t]*g20[t] + 156762849778213337760*Sqrt[42]*lu1^11*f42[t]*f44n[t]*g20[t] + 8660476773145843200*Sqrt[42]*lu1^12*f42[t]*f44n[t]*g20[t] - 7257369174151824000*Sqrt[42]*lu1^13*f42[t]*f44n[t]*g20[t] + 516022650*f22n[t]*g20[t]^2 - 43460574300*lu1*f22n[t]*g20[t]^2 + 363146161950*lu1^2*f22n[t]*g20[t]^2 + 32208171652800*lu1^3*f22n[t]* g20[t]^2 - 420477159638250*lu1^4*f22n[t]*g20[t]^2 - 4649389467079500*lu1^5*f22n[t]*g20[t]^2 + 50833794510577650*lu1^6* f22n[t]*g20[t]^2 + 262153040294831400*lu1^7*f22n[t]*g20[t]^2 - 1068885317279894400*lu1^8*f22n[t]*g20[t]^2 - 6066972523229904000* lu1^9*f22n[t]*g20[t]^2 - 6997994500171989600*lu1^10*f22n[t]* g20[t]^2 + 4034754640124208000*lu1^11*f22n[t]*g20[t]^2 + 12662525400027360000*lu1^12*f22n[t]*g20[t]^2 + 6741141770563200000* lu1^13*f22n[t]*g20[t]^2 + 1527392295*Sqrt[3]*f42n[t]*g20[t]^2 - 61908818400*Sqrt[3]*lu1*f42n[t]*g20[t]^2 - 947732855355*Sqrt[3]*lu1^2* f42n[t]*g20[t]^2 + 46488675094290*Sqrt[3]*lu1^3*f42n[t]*g20[t]^2 + 145151266227825*Sqrt[3]*lu1^4*f42n[t]*g20[t]^2 - 6697474650858420*Sqrt[3]*lu1^5*f42n[t]*g20[t]^2 - 37696843917171725*Sqrt[3]*lu1^6*f42n[t]*g20[t]^2 + 83216978288391090*Sqrt[3]*lu1^7*f42n[t]*g20[t]^2 + 1680983070556526880*Sqrt[3]*lu1^8*f42n[t]*g20[t]^2 + 3724157861843562000*Sqrt[3]*lu1^9*f42n[t]*g20[t]^2 - 4953807166128883920*Sqrt[3]*lu1^10*f42n[t]*g20[t]^2 - 19709268797313295200*Sqrt[3]*lu1^11*f42n[t]*g20[t]^2 - 10608352073979088000*Sqrt[3]*lu1^12*f42n[t]*g20[t]^2 + 3783355238382720000*Sqrt[3]*lu1^13*f42n[t]*g20[t]^2 - 67430434500*Sqrt[3]*f22n[t]*f42[t]*g22[t] - 99835961940*Sqrt[3]*lu1* f22n[t]*f42[t]*g22[t] + 107662312028700*Sqrt[3]*lu1^2*f22n[t]*f42[t]* g22[t] + 300442762027980*Sqrt[3]*lu1^3*f22n[t]*f42[t]*g22[t] - 44404981923201900*Sqrt[3]*lu1^4*f22n[t]*f42[t]*g22[t] - 135632796519371580*Sqrt[3]*lu1^5*f22n[t]*f42[t]*g22[t] + 4377163197041969620*Sqrt[3]*lu1^6*f22n[t]*f42[t]*g22[t] + 31198101032252196900*Sqrt[3]*lu1^7*f22n[t]*f42[t]*g22[t] + 31524557753889932160*Sqrt[3]*lu1^8*f22n[t]*f42[t]*g22[t] - 113037754101543242400*Sqrt[3]*lu1^9*f22n[t]*f42[t]*g22[t] - 121445689932224074560*Sqrt[3]*lu1^10*f22n[t]*f42[t]*g22[t] + 177233085083060635200*Sqrt[3]*lu1^11*f22n[t]*f42[t]*g22[t] + 214377223841580800000*Sqrt[3]*lu1^12*f22n[t]*f42[t]*g22[t] + 31244267320506240000*Sqrt[3]*lu1^13*f22n[t]*f42[t]*g22[t] + 418119738480*f42[t]*f42n[t]*g22[t] + 11349168827400*lu1*f42[t]* f42n[t]*g22[t] - 854869673413080*lu1^2*f42[t]*f42n[t]*g22[t] - 10789253450170920*lu1^3*f42[t]*f42n[t]*g22[t] + 342101926489319640*lu1^4*f42[t]*f42n[t]*g22[t] + 2208876170225795640*lu1^5*f42[t]*f42n[t]*g22[t] - 20505466113688499400*lu1^6*f42[t]*f42n[t]*g22[t] - 206347060578159515160*lu1^7*f42[t]*f42n[t]*g22[t] - 594519765384888716040*lu1^8*f42[t]*f42n[t]*g22[t] - 244998259973503341120*lu1^9*f42[t]*f42n[t]*g22[t] + 1137362203179375550560*lu1^10*f42[t]*f42n[t]*g22[t] + 768854682246436776000*lu1^11*f42[t]*f42n[t]*g22[t] - 469095691463608608000*lu1^12*f42[t]*f42n[t]*g22[t] - 38722352916330720000*lu1^13*f42[t]*f42n[t]*g22[t] + 27874649232*Sqrt[70]*f40[t]*f44n[t]*g22[t] + 756611255160*Sqrt[70]* lu1*f40[t]*f44n[t]*g22[t] - 56991311560872*Sqrt[70]*lu1^2*f40[t]* f44n[t]*g22[t] - 719283563344728*Sqrt[70]*lu1^3*f40[t]*f44n[t]* g22[t] + 22806795099287976*Sqrt[70]*lu1^4*f40[t]*f44n[t]*g22[t] + 147258411348386376*Sqrt[70]*lu1^5*f40[t]*f44n[t]*g22[t] - 1367031074245899960*Sqrt[70]*lu1^6*f40[t]*f44n[t]*g22[t] - 13756470705210634344*Sqrt[70]*lu1^7*f40[t]*f44n[t]*g22[t] - 39634651025659247736*Sqrt[70]*lu1^8*f40[t]*f44n[t]*g22[t] - 16333217331566889408*Sqrt[70]*lu1^9*f40[t]*f44n[t]*g22[t] + 75824146878625036704*Sqrt[70]*lu1^10*f40[t]*f44n[t]*g22[t] + 51256978816429118400*Sqrt[70]*lu1^11*f40[t]*f44n[t]*g22[t] - 31273046097573907200*Sqrt[70]*lu1^12*f40[t]*f44n[t]*g22[t] - 2581490194422048000*Sqrt[70]*lu1^13*f40[t]*f44n[t]*g22[t] + 1906851375*Sqrt[14]*f44n[t]*g20[t]*g22[t] + 94946430150*Sqrt[14]*lu1* f44n[t]*g20[t]*g22[t] - 4782226858695*Sqrt[14]*lu1^2*f44n[t]*g20[t]* g22[t] - 85748010236460*Sqrt[14]*lu1^3*f44n[t]*g20[t]*g22[t] + 2124085454138505*Sqrt[14]*lu1^4*f44n[t]*g20[t]*g22[t] + 14075340490629990*Sqrt[14]*lu1^5*f44n[t]*g20[t]*g22[t] - 184680536592491225*Sqrt[14]*lu1^6*f44n[t]*g20[t]*g22[t] - 705696548252879040*Sqrt[14]*lu1^7*f44n[t]*g20[t]*g22[t] + 2636407402668176280*Sqrt[14]*lu1^8*f44n[t]*g20[t]*g22[t] + 16944877365113000160*Sqrt[14]*lu1^9*f44n[t]*g20[t]*g22[t] + 27900178421366188080*Sqrt[14]*lu1^10*f44n[t]*g20[t]*g22[t] + 7300779772827340800*Sqrt[14]*lu1^11*f44n[t]*g20[t]*g22[t] - 19727737168398688000*Sqrt[14]*lu1^12*f44n[t]*g20[t]*g22[t] - 13122813340116480000*Sqrt[14]*lu1^13*f44n[t]*g20[t]*g22[t] + 3852969120*f22n[t]*g22[t]^2 - 198481423140*lu1*f22n[t]*g22[t]^2 - 717223066560*lu1^2*f22n[t]*g22[t]^2 + 140594801567220*lu1^3*f22n[t]* g22[t]^2 - 841258756217880*lu1^4*f22n[t]*g22[t]^2 - 17578002079938300*lu1^5*f22n[t]*g22[t]^2 + 70903073024703920*lu1^6* f22n[t]*g22[t]^2 + 479304129498574380*lu1^7*f22n[t]*g22[t]^2 + 690613854111821640*lu1^8*f22n[t]*g22[t]^2 - 5331629497848413760*lu1^9* f22n[t]*g22[t]^2 - 35053221649602636480*lu1^10*f22n[t]*g22[t]^2 - 77474966227495636800*lu1^11*f22n[t]*g22[t]^2 - 70199414039426672000* lu1^12*f22n[t]*g22[t]^2 - 21194241366217920000*lu1^13*f22n[t]* g22[t]^2 + 252972720*Sqrt[3]*f42n[t]*g22[t]^2 + 104570165700*Sqrt[3]*lu1*f42n[t]*g22[t]^2 - 2556329335560*Sqrt[3]* lu1^2*f42n[t]*g22[t]^2 - 88157790220500*Sqrt[3]*lu1^3*f42n[t]* g22[t]^2 + 1319289458607120*Sqrt[3]*lu1^4*f42n[t]*g22[t]^2 + 13848543427658940*Sqrt[3]*lu1^5*f42n[t]*g22[t]^2 - 97989128450213000*Sqrt[3]*lu1^6*f42n[t]*g22[t]^2 - 525942351027513420*Sqrt[3]*lu1^7*f42n[t]*g22[t]^2 + 636949554741099600*Sqrt[3]*lu1^8*f42n[t]*g22[t]^2 + 8813813002179625440*Sqrt[3]*lu1^9*f42n[t]*g22[t]^2 + 21902657058330048000*Sqrt[3]*lu1^10*f42n[t]*g22[t]^2 + 18006699046760424000*Sqrt[3]*lu1^11*f42n[t]*g22[t]^2 - 6079590062946400000*Sqrt[3]*lu1^12*f42n[t]*g22[t]^2 - 11270779052332800000*Sqrt[3]*lu1^13*f42n[t]*g22[t]^2 + 8992554714*f22n[t]^2*g22n[t] + 1385578151100*lu1*f22n[t]^2*g22n[t] - 49515395249034*lu1^2*f22n[t]^2*g22n[t] - 1139145756667776*lu1^3* f22n[t]^2*g22n[t] + 28141242898659462*lu1^4*f22n[t]^2*g22n[t] + 203455966833399852*lu1^5*f22n[t]^2*g22n[t] - 2995441016641354710* lu1^6*f22n[t]^2*g22n[t] - 17963583258973634568*lu1^7*f22n[t]^2* g22n[t] - 2439649653442084512*lu1^8*f22n[t]^2*g22n[t] + 79205926885944734304*lu1^9*f22n[t]^2*g22n[t] + 70531415894654608608* lu1^10*f22n[t]^2*g22n[t] - 198962049746265062400*lu1^11*f22n[t]^2* g22n[t] - 363576313305164044800*lu1^12*f22n[t]^2*g22n[t] - 147630773502051840000*lu1^13*f22n[t]^2*g22n[t] + 126010804383*f40[t]^2*g22n[t] + 4294629128970*lu1*f40[t]^2*g22n[t] - 246634203181743*lu1^2*f40[t]^2*g22n[t] - 3856802089043832*lu1^3* f40[t]^2*g22n[t] + 73122133191045249*lu1^4*f40[t]^2*g22n[t] + 757624092897256914*lu1^5*f40[t]^2*g22n[t] - 1943814349534541025*lu1^6* f40[t]^2*g22n[t] - 20582006066548269636*lu1^7*f40[t]^2*g22n[t] - 75299209521550403184*lu1^8*f40[t]^2*g22n[t] - 184035185387292328992* lu1^9*f40[t]^2*g22n[t] - 168453705733877088384*lu1^10*f40[t]^2* g22n[t] + 119443418999327283360*lu1^11*f40[t]^2*g22n[t] + 194145541890557870400*lu1^12*f40[t]^2*g22n[t] + 5903972774101584000*lu1^13*f40[t]^2*g22n[t] + 72733664394*f42[t]^2* g22n[t] + 763254758520*lu1*f42[t]^2*g22n[t] - 98917472043234*lu1^2* f42[t]^2*g22n[t] + 105489750234084*lu1^3*f42[t]^2*g22n[t] - 15888953550265578*lu1^4*f42[t]^2*g22n[t] + 284464925512390752*lu1^5* f42[t]^2*g22n[t] + 2508342111957790770*lu1^6*f42[t]^2*g22n[t] + 11642097841908601332*lu1^7*f42[t]^2*g22n[t] - 89552569362959823792* lu1^8*f42[t]^2*g22n[t] - 663457552367647249776*lu1^9*f42[t]^2* g22n[t] - 959826191818863846912*lu1^10*f42[t]^2*g22n[t] + 359352275605068698880*lu1^11*f42[t]^2*g22n[t] + 940622681981173315200*lu1^12*f42[t]^2*g22n[t] + 9567573614044992000*lu1^13*f42[t]^2*g22n[t] - 137838163320*Sqrt[3]* f22n[t]*f42n[t]*g22n[t] - 1094776511400*Sqrt[3]*lu1*f22n[t]*f42n[t]* g22n[t] + 231162562350720*Sqrt[3]*lu1^2*f22n[t]*f42n[t]*g22n[t] + 1444987821214080*Sqrt[3]*lu1^3*f22n[t]*f42n[t]*g22n[t] - 93695500246079160*Sqrt[3]*lu1^4*f22n[t]*f42n[t]*g22n[t] - 408852034767993960*Sqrt[3]*lu1^5*f22n[t]*f42n[t]*g22n[t] + 8378987427800761200*Sqrt[3]*lu1^6*f22n[t]*f42n[t]*g22n[t] + 60745603415935735440*Sqrt[3]*lu1^7*f22n[t]*f42n[t]*g22n[t] + 107777387333287488960*Sqrt[3]*lu1^8*f22n[t]*f42n[t]*g22n[t] - 104015122433888814720*Sqrt[3]*lu1^9*f22n[t]*f42n[t]*g22n[t] - 356296907254166461440*Sqrt[3]*lu1^10*f22n[t]*f42n[t]*g22n[t] - 132192058185545529600*Sqrt[3]*lu1^11*f22n[t]*f42n[t]*g22n[t] + 128173790229348864000*Sqrt[3]*lu1^12*f22n[t]*f42n[t]*g22n[t] + 68541817705320960000*Sqrt[3]*lu1^13*f22n[t]*f42n[t]*g22n[t] + 490853402874*f42n[t]^2*g22n[t] + 12112423585920*lu1*f42n[t]^2* g22n[t] - 953787145456314*lu1^2*f42n[t]^2*g22n[t] - 10683763699936836*lu1^3*f42n[t]^2*g22n[t] + 326212972939054062*lu1^4* f42n[t]^2*g22n[t] + 2493341095738186392*lu1^5*f42n[t]^2*g22n[t] - 17997124001730708630*lu1^6*f42n[t]^2*g22n[t] - 194704962736250913828* lu1^7*f42n[t]^2*g22n[t] - 684072334747848539832*lu1^8*f42n[t]^2* g22n[t] - 908455812341150590896*lu1^9*f42n[t]^2*g22n[t] + 177536011360511703648*lu1^10*f42n[t]^2*g22n[t] + 1128206957851505474880*lu1^11*f42n[t]^2*g22n[t] + 471526990517564707200*lu1^12*f42n[t]^2*g22n[t] - 29154779302285728000*lu1^13*f42n[t]^2*g22n[t] - 27874649232*Sqrt[70]*f40[t]*f44[t]*g22n[t] - 756611255160*Sqrt[70]* lu1*f40[t]*f44[t]*g22n[t] + 56991311560872*Sqrt[70]*lu1^2*f40[t]* f44[t]*g22n[t] + 719283563344728*Sqrt[70]*lu1^3*f40[t]*f44[t]* g22n[t] - 22806795099287976*Sqrt[70]*lu1^4*f40[t]*f44[t]*g22n[t] - 147258411348386376*Sqrt[70]*lu1^5*f40[t]*f44[t]*g22n[t] + 1367031074245899960*Sqrt[70]*lu1^6*f40[t]*f44[t]*g22n[t] + 13756470705210634344*Sqrt[70]*lu1^7*f40[t]*f44[t]*g22n[t] + 39634651025659247736*Sqrt[70]*lu1^8*f40[t]*f44[t]*g22n[t] + 16333217331566889408*Sqrt[70]*lu1^9*f40[t]*f44[t]*g22n[t] - 75824146878625036704*Sqrt[70]*lu1^10*f40[t]*f44[t]*g22n[t] - 51256978816429118400*Sqrt[70]*lu1^11*f40[t]*f44[t]*g22n[t] + 31273046097573907200*Sqrt[70]*lu1^12*f40[t]*f44[t]*g22n[t] + 2581490194422048000*Sqrt[70]*lu1^13*f40[t]*f44[t]*g22n[t] + 594106502094*f44[t]^2*g22n[t] + 6036471956340*lu1*f44[t]^2*g22n[t] - 1081534508395614*lu1^2*f44[t]^2*g22n[t] - 3770003871900336*lu1^3* f44[t]^2*g22n[t] + 364369600425609282*lu1^4*f44[t]^2*g22n[t] + 2187934775904703812*lu1^5*f44[t]^2*g22n[t] - 30250926276305789250* lu1^6*f44[t]^2*g22n[t] - 352685459031080081928*lu1^7*f44[t]^2* g22n[t] - 1412531759297588290032*lu1^8*f44[t]^2*g22n[t] - 2170281355746376822656*lu1^9*f44[t]^2*g22n[t] + 52735048515558537408*lu1^10*f44[t]^2*g22n[t] + 2668513783448617594560* lu1^11*f44[t]^2*g22n[t] + 1409241724873537564800*lu1^12*f44[t]^2* g22n[t] - 95250169576467360000*lu1^13*f44[t]^2*g22n[t] + 594106502094*f44n[t]^2*g22n[t] + 6036471956340*lu1*f44n[t]^2* g22n[t] - 1081534508395614*lu1^2*f44n[t]^2*g22n[t] - 3770003871900336*lu1^3*f44n[t]^2*g22n[t] + 364369600425609282*lu1^4* f44n[t]^2*g22n[t] + 2187934775904703812*lu1^5*f44n[t]^2*g22n[t] - 30250926276305789250*lu1^6*f44n[t]^2*g22n[t] - 352685459031080081928* lu1^7*f44n[t]^2*g22n[t] - 1412531759297588290032*lu1^8*f44n[t]^2* g22n[t] - 2170281355746376822656*lu1^9*f44n[t]^2*g22n[t] + 52735048515558537408*lu1^10*f44n[t]^2*g22n[t] + 2668513783448617594560*lu1^11*f44n[t]^2*g22n[t] + 1409241724873537564800*lu1^12*f44n[t]^2*g22n[t] - 95250169576467360000*lu1^13*f44n[t]^2*g22n[t] + 2366024661*Sqrt[5]*f40[t]*g20[t]*g22n[t] + 7440803370*Sqrt[5]*lu1* f40[t]*g20[t]*g22n[t] - 3627522399501*Sqrt[5]*lu1^2*f40[t]*g20[t]* g22n[t] - 14257866066444*Sqrt[5]*lu1^3*f40[t]*g20[t]*g22n[t] + 1390572285465363*Sqrt[5]*lu1^4*f40[t]*g20[t]*g22n[t] + 3087224573691258*Sqrt[5]*lu1^5*f40[t]*g20[t]*g22n[t] - 140965797089232115*Sqrt[5]*lu1^6*f40[t]*g20[t]*g22n[t] - 356844346321014552*Sqrt[5]*lu1^7*f40[t]*g20[t]*g22n[t] + 2926630898046127272*Sqrt[5]*lu1^8*f40[t]*g20[t]*g22n[t] + 13146252708542649696*Sqrt[5]*lu1^9*f40[t]*g20[t]*g22n[t] + 12777061319916605712*Sqrt[5]*lu1^10*f40[t]*g20[t]*g22n[t] - 11386947174154231680*Sqrt[5]*lu1^11*f40[t]*g20[t]*g22n[t] - 20323323960222483200*Sqrt[5]*lu1^12*f40[t]*g20[t]*g22n[t] - 4847003813363712000*Sqrt[5]*lu1^13*f40[t]*g20[t]*g22n[t] - 1906851375*Sqrt[14]*f44[t]*g20[t]*g22n[t] - 94946430150*Sqrt[14]*lu1* f44[t]*g20[t]*g22n[t] + 4782226858695*Sqrt[14]*lu1^2*f44[t]*g20[t]* g22n[t] + 85748010236460*Sqrt[14]*lu1^3*f44[t]*g20[t]*g22n[t] - 2124085454138505*Sqrt[14]*lu1^4*f44[t]*g20[t]*g22n[t] - 14075340490629990*Sqrt[14]*lu1^5*f44[t]*g20[t]*g22n[t] + 184680536592491225*Sqrt[14]*lu1^6*f44[t]*g20[t]*g22n[t] + 705696548252879040*Sqrt[14]*lu1^7*f44[t]*g20[t]*g22n[t] - 2636407402668176280*Sqrt[14]*lu1^8*f44[t]*g20[t]*g22n[t] - 16944877365113000160*Sqrt[14]*lu1^9*f44[t]*g20[t]*g22n[t] - 27900178421366188080*Sqrt[14]*lu1^10*f44[t]*g20[t]*g22n[t] - 7300779772827340800*Sqrt[14]*lu1^11*f44[t]*g20[t]*g22n[t] + 19727737168398688000*Sqrt[14]*lu1^12*f44[t]*g20[t]*g22n[t] + 13122813340116480000*Sqrt[14]*lu1^13*f44[t]*g20[t]*g22n[t] + 3307757310*Sqrt[3]*f42[t]*g22[t]*g22n[t] - 19247471100*Sqrt[3]*lu1* f42[t]*g22[t]*g22n[t] - 4451795046270*Sqrt[3]*lu1^2*f42[t]*g22[t]* g22n[t] + 4819559968080*Sqrt[3]*lu1^3*f42[t]*g22[t]*g22n[t] + 1609591991062770*Sqrt[3]*lu1^4*f42[t]*g22[t]*g22n[t] + 453594125942100*Sqrt[3]*lu1^5*f42[t]*g22[t]*g22n[t] - 173382816284556450*Sqrt[3]*lu1^6*f42[t]*g22[t]*g22n[t] - 359508394450731240*Sqrt[3]*lu1^7*f42[t]*g22[t]*g22n[t] + 3998915695854153360*Sqrt[3]*lu1^8*f42[t]*g22[t]*g22n[t] + 16262128725866749440*Sqrt[3]*lu1^9*f42[t]*g22[t]*g22n[t] + 11995042726072280160*Sqrt[3]*lu1^10*f42[t]*g22[t]*g22n[t] - 21411838547866166400*Sqrt[3]*lu1^11*f42[t]*g22[t]*g22n[t] - 27296294210904576000*Sqrt[3]*lu1^12*f42[t]*g22[t]*g22n[t] - 3704068575567360000*Sqrt[3]*lu1^13*f42[t]*g22[t]*g22n[t] + 309613590*f22n[t]*g22n[t]^2 - 123524355240*lu1*f22n[t]*g22n[t]^2 + 2987530332930*lu1^2*f22n[t]*g22n[t]^2 + 87151376246220*lu1^3*f22n[t]* g22n[t]^2 - 1998899416195110*lu1^4*f22n[t]*g22n[t]^2 - 8712972284290560*lu1^5*f22n[t]*g22n[t]^2 + 221288148973418670*lu1^6* f22n[t]*g22n[t]^2 + 244978814513064060*lu1^7*f22n[t]*g22n[t]^2 - 5137263143581757760*lu1^8*f22n[t]*g22n[t]^2 - 10724849604577199520* lu1^9*f22n[t]*g22n[t]^2 + 18889287513341937120*lu1^10*f22n[t]* g22n[t]^2 + 72445587928408094400*lu1^11*f22n[t]*g22n[t]^2 + 69393499349267808000*lu1^12*f22n[t]*g22n[t]^2 + 21094827458664960000*lu1^13*f22n[t]*g22n[t]^2 + 3560730030*Sqrt[3]*f42n[t]*g22n[t]^2 + 85322694600*Sqrt[3]*lu1* f42n[t]*g22n[t]^2 - 7008124381830*Sqrt[3]*lu1^2*f42n[t]*g22n[t]^2 - 83338230252420*Sqrt[3]*lu1^3*f42n[t]*g22n[t]^2 + 2928881449669890*Sqrt[3]*lu1^4*f42n[t]*g22n[t]^2 + 14302137553601040*Sqrt[3]*lu1^5*f42n[t]*g22n[t]^2 - 271371944734769450*Sqrt[3]*lu1^6*f42n[t]*g22n[t]^2 - 885450745478244660*Sqrt[3]*lu1^7*f42n[t]*g22n[t]^2 + 4635865250595252960*Sqrt[3]*lu1^8*f42n[t]*g22n[t]^2 + 25075941728046374880*Sqrt[3]*lu1^9*f42n[t]*g22n[t]^2 + 33897699784402328160*Sqrt[3]*lu1^10*f42n[t]*g22n[t]^2 - 3405139501105742400*Sqrt[3]*lu1^11*f42n[t]*g22n[t]^2 - 33375884273850976000*Sqrt[3]*lu1^12*f42n[t]*g22n[t]^2 - 14974847627900160000*Sqrt[3]*lu1^13*f42n[t]*g22n[t]^2 - 42426437256*f22n[t]*f40[t]*g40[t] + 5740618612320*lu1*f22n[t]*f40[t]* g40[t] - 30820055841684*lu1^2*f22n[t]*f40[t]*g40[t] - 3016692333395496*lu1^3*f22n[t]*f40[t]*g40[t] - 12017540795630988*lu1^4*f22n[t]*f40[t]*g40[t] - 130505543880821808*lu1^5*f22n[t]*f40[t]*g40[t] + 1419808576705150020*lu1^6*f22n[t]*f40[t]*g40[t] - 418364357906296968*lu1^7*f22n[t]*f40[t]*g40[t] + 6049189623123924948*lu1^8*f22n[t]*f40[t]*g40[t] + 110369770754535355104*lu1^9*f22n[t]*f40[t]*g40[t] + 209205382129305037968*lu1^10*f22n[t]*f40[t]*g40[t] + 22886876875653509280*lu1^11*f22n[t]*f40[t]*g40[t] - 154814369781729840000*lu1^12*f22n[t]*f40[t]*g40[t] - 61106086750020816000*lu1^13*f22n[t]*f40[t]*g40[t] + 34254747720*Sqrt[3]*f40[t]*f42n[t]*g40[t] + 599308003440*Sqrt[3]*lu1* f40[t]*f42n[t]*g40[t] - 69084371664540*Sqrt[3]*lu1^2*f40[t]*f42n[t]* g40[t] - 32898523493160*Sqrt[3]*lu1^3*f40[t]*f42n[t]*g40[t] + 27210368640474540*Sqrt[3]*lu1^4*f40[t]*f42n[t]*g40[t] + 344378895970040640*Sqrt[3]*lu1^5*f40[t]*f42n[t]*g40[t] + 101039539214615580*Sqrt[3]*lu1^6*f40[t]*f42n[t]*g40[t] - 11543182567877510280*Sqrt[3]*lu1^7*f40[t]*f42n[t]*g40[t] - 48280327269748468020*Sqrt[3]*lu1^8*f40[t]*f42n[t]*g40[t] - 65986210307667193920*Sqrt[3]*lu1^9*f40[t]*f42n[t]*g40[t] + 17773988381123443200*Sqrt[3]*lu1^10*f40[t]*f42n[t]*g40[t] + 118703534661008913600*Sqrt[3]*lu1^11*f40[t]*f42n[t]*g40[t] + 65014416191350440000*Sqrt[3]*lu1^12*f40[t]*f42n[t]*g40[t] - 14427021038199840000*Sqrt[3]*lu1^13*f40[t]*f42n[t]*g40[t] - 15816118644*Sqrt[70]*f22n[t]*f44[t]*g40[t] - 537128066700*Sqrt[70]* lu1*f22n[t]*f44[t]*g40[t] + 24975945563544*Sqrt[70]*lu1^2*f22n[t]* f44[t]*g40[t] + 488551895102196*Sqrt[70]*lu1^3*f22n[t]*f44[t]* g40[t] - 4849704993410832*Sqrt[70]*lu1^4*f22n[t]*f44[t]*g40[t] - 20755274642580372*Sqrt[70]*lu1^5*f22n[t]*f44[t]*g40[t] + 93927359975090520*Sqrt[70]*lu1^6*f22n[t]*f44[t]*g40[t] + 481907827191184188*Sqrt[70]*lu1^7*f22n[t]*f44[t]*g40[t] + 367906773007931652*Sqrt[70]*lu1^8*f22n[t]*f44[t]*g40[t] - 1514960576169573744*Sqrt[70]*lu1^9*f22n[t]*f44[t]*g40[t] - 6361630853193900528*Sqrt[70]*lu1^10*f22n[t]*f44[t]*g40[t] - 10567178943534677280*Sqrt[70]*lu1^11*f22n[t]*f44[t]*g40[t] - 4196229440655907200*Sqrt[70]*lu1^12*f22n[t]*f44[t]*g40[t] + 2559442617539472000*Sqrt[70]*lu1^13*f22n[t]*f44[t]*g40[t] + 41082295392*Sqrt[210]*f42n[t]*f44[t]*g40[t] + 1367937753696*Sqrt[210]* lu1*f42n[t]*f44[t]*g40[t] - 69124575302820*Sqrt[210]*lu1^2*f42n[t]* f44[t]*g40[t] - 874733723185320*Sqrt[210]*lu1^3*f42n[t]*f44[t]* g40[t] + 13105854664249668*Sqrt[210]*lu1^4*f42n[t]*f44[t]*g40[t] + 195792379254479088*Sqrt[210]*lu1^5*f42n[t]*f44[t]*g40[t] + 284591511481397412*Sqrt[210]*lu1^6*f42n[t]*f44[t]*g40[t] - 6315506975076039720*Sqrt[210]*lu1^7*f42n[t]*f44[t]*g40[t] - 26290009927861124580*Sqrt[210]*lu1^8*f42n[t]*f44[t]*g40[t] - 26099698359754517184*Sqrt[210]*lu1^9*f42n[t]*f44[t]*g40[t] + 25921892131977986688*Sqrt[210]*lu1^10*f42n[t]*f44[t]*g40[t] + 56181087951295688640*Sqrt[210]*lu1^11*f42n[t]*f44[t]*g40[t] + 18340472521353940800*Sqrt[210]*lu1^12*f42n[t]*f44[t]*g40[t] - 6397011593253792000*Sqrt[210]*lu1^13*f42n[t]*f44[t]*g40[t] - 41082295392*Sqrt[210]*f42[t]*f44n[t]*g40[t] - 1367937753696*Sqrt[210]* lu1*f42[t]*f44n[t]*g40[t] + 69124575302820*Sqrt[210]*lu1^2*f42[t]* f44n[t]*g40[t] + 874733723185320*Sqrt[210]*lu1^3*f42[t]*f44n[t]* g40[t] - 13105854664249668*Sqrt[210]*lu1^4*f42[t]*f44n[t]*g40[t] - 195792379254479088*Sqrt[210]*lu1^5*f42[t]*f44n[t]*g40[t] - 284591511481397412*Sqrt[210]*lu1^6*f42[t]*f44n[t]*g40[t] + 6315506975076039720*Sqrt[210]*lu1^7*f42[t]*f44n[t]*g40[t] + 26290009927861124580*Sqrt[210]*lu1^8*f42[t]*f44n[t]*g40[t] + 26099698359754517184*Sqrt[210]*lu1^9*f42[t]*f44n[t]*g40[t] - 25921892131977986688*Sqrt[210]*lu1^10*f42[t]*f44n[t]*g40[t] - 56181087951295688640*Sqrt[210]*lu1^11*f42[t]*f44n[t]*g40[t] - 18340472521353940800*Sqrt[210]*lu1^12*f42[t]*f44n[t]*g40[t] + 6397011593253792000*Sqrt[210]*lu1^13*f42[t]*f44n[t]*g40[t] + 380918538*Sqrt[5]*f22n[t]*g20[t]*g40[t] + 64416306240*Sqrt[5]*lu1* f22n[t]*g20[t]*g40[t] - 1658679414678*Sqrt[5]*lu1^2*f22n[t]*g20[t]* g40[t] - 48242534352012*Sqrt[5]*lu1^3*f22n[t]*g20[t]*g40[t] + 590199716443194*Sqrt[5]*lu1^4*f22n[t]*g20[t]*g40[t] + 1932135825792744*Sqrt[5]*lu1^5*f22n[t]*g20[t]*g40[t] - 16505322056799290*Sqrt[5]*lu1^6*f22n[t]*g20[t]*g40[t] - 72572274261786156*Sqrt[5]*lu1^7*f22n[t]*g20[t]*g40[t] + 44438471535385356*Sqrt[5]*lu1^8*f22n[t]*g20[t]*g40[t] + 970649494323928848*Sqrt[5]*lu1^9*f22n[t]*g20[t]*g40[t] + 2175325924045587456*Sqrt[5]*lu1^10*f22n[t]*g20[t]*g40[t] + 625323460616712000*Sqrt[5]*lu1^11*f22n[t]*g20[t]*g40[t] - 2610805514759041600*Sqrt[5]*lu1^12*f22n[t]*g20[t]*g40[t] - 2043415835741280000*Sqrt[5]*lu1^13*f22n[t]*g20[t]*g40[t] + 1302178437*Sqrt[15]*f42n[t]*g20[t]*g40[t] - 19929490290*Sqrt[15]*lu1* f42n[t]*g20[t]*g40[t] - 427102367157*Sqrt[15]*lu1^2*f42n[t]*g20[t]* g40[t] - 15198465228408*Sqrt[15]*lu1^3*f42n[t]*g20[t]*g40[t] + 89954131412451*Sqrt[15]*lu1^4*f42n[t]*g20[t]*g40[t] - 745165279950594*Sqrt[15]*lu1^5*f42n[t]*g20[t]*g40[t] + 252677069111205*Sqrt[15]*lu1^6*f42n[t]*g20[t]*g40[t] + 43716422396545236*Sqrt[15]*lu1^7*f42n[t]*g20[t]*g40[t] - 15580555053517896*Sqrt[15]*lu1^8*f42n[t]*g20[t]*g40[t] - 372043989376796808*Sqrt[15]*lu1^9*f42n[t]*g20[t]*g40[t] + 343897983939388944*Sqrt[15]*lu1^10*f42n[t]*g20[t]*g40[t] + 2397298302562855680*Sqrt[15]*lu1^11*f42n[t]*g20[t]*g40[t] + 1795717750237286400*Sqrt[15]*lu1^12*f42n[t]*g20[t]*g40[t] - 306356490143760000*Sqrt[15]*lu1^13*f42n[t]*g20[t]*g40[t] - 693186903*Sqrt[70]*f44n[t]*g22[t]*g40[t] - 59542159590*Sqrt[70]*lu1* f44n[t]*g22[t]*g40[t] + 1711753323723*Sqrt[70]*lu1^2*f44n[t]*g22[t]* g40[t] + 49523539410972*Sqrt[70]*lu1^3*f44n[t]*g22[t]*g40[t] - 453985836503709*Sqrt[70]*lu1^4*f44n[t]*g22[t]*g40[t] - 3277916376599694*Sqrt[70]*lu1^5*f44n[t]*g22[t]*g40[t] + 12990185942899125*Sqrt[70]*lu1^6*f44n[t]*g22[t]*g40[t] + 83074710673346496*Sqrt[70]*lu1^7*f44n[t]*g22[t]*g40[t] + 64284358410404964*Sqrt[70]*lu1^8*f44n[t]*g22[t]*g40[t] - 525981171490611528*Sqrt[70]*lu1^9*f44n[t]*g22[t]*g40[t] - 1897832264374100496*Sqrt[70]*lu1^10*f44n[t]*g22[t]*g40[t] - 1940150842591375680*Sqrt[70]*lu1^11*f44n[t]*g22[t]*g40[t] + 848006502929803200*Sqrt[70]*lu1^12*f44n[t]*g22[t]*g40[t] + 1652456408480304000*Sqrt[70]*lu1^13*f44n[t]*g22[t]*g40[t] + 901739952*f40[t]*g22n[t]*g40[t] - 145661988960*lu1*f40[t]*g22n[t]* g40[t] + 3092842587528*lu1^2*f40[t]*g22n[t]*g40[t] + 33395763112272*lu1^3*f40[t]*g22n[t]*g40[t] - 679659186423024*lu1^4* f40[t]*g22n[t]*g40[t] + 5839203278715336*lu1^5*f40[t]*g22n[t]* g40[t] + 41435416415310120*lu1^6*f40[t]*g22n[t]*g40[t] - 486161698820557344*lu1^7*f40[t]*g22n[t]*g40[t] - 1653570687002637936*lu1^8*f40[t]*g22n[t]*g40[t] + 7088931976128042792*lu1^9*f40[t]*g22n[t]*g40[t] + 35611936924848994944*lu1^10*f40[t]*g22n[t]*g40[t] + 46525440230873874240*lu1^11*f40[t]*g22n[t]*g40[t] + 13417460722032441600*lu1^12*f40[t]*g22n[t]*g40[t] - 6160516301143344000*lu1^13*f40[t]*g22n[t]*g40[t] + 693186903*Sqrt[70]*f44[t]*g22n[t]*g40[t] + 59542159590*Sqrt[70]*lu1* f44[t]*g22n[t]*g40[t] - 1711753323723*Sqrt[70]*lu1^2*f44[t]*g22n[t]* g40[t] - 49523539410972*Sqrt[70]*lu1^3*f44[t]*g22n[t]*g40[t] + 453985836503709*Sqrt[70]*lu1^4*f44[t]*g22n[t]*g40[t] + 3277916376599694*Sqrt[70]*lu1^5*f44[t]*g22n[t]*g40[t] - 12990185942899125*Sqrt[70]*lu1^6*f44[t]*g22n[t]*g40[t] - 83074710673346496*Sqrt[70]*lu1^7*f44[t]*g22n[t]*g40[t] - 64284358410404964*Sqrt[70]*lu1^8*f44[t]*g22n[t]*g40[t] + 525981171490611528*Sqrt[70]*lu1^9*f44[t]*g22n[t]*g40[t] + 1897832264374100496*Sqrt[70]*lu1^10*f44[t]*g22n[t]*g40[t] + 1940150842591375680*Sqrt[70]*lu1^11*f44[t]*g22n[t]*g40[t] - 848006502929803200*Sqrt[70]*lu1^12*f44[t]*g22n[t]*g40[t] - 1652456408480304000*Sqrt[70]*lu1^13*f44[t]*g22n[t]*g40[t] + 2294362017*f22n[t]*g40[t]^2 - 186654809970*lu1*f22n[t]*g40[t]^2 + 1134323554743*lu1^2*f22n[t]*g40[t]^2 + 72028911364812*lu1^3*f22n[t]* g40[t]^2 - 391785281030349*lu1^4*f22n[t]*g40[t]^2 - 3813799243404474*lu1^5*f22n[t]*g40[t]^2 + 6381891839794305*lu1^6* f22n[t]*g40[t]^2 + 134075514713571336*lu1^7*f22n[t]*g40[t]^2 + 101405247384196644*lu1^8*f22n[t]*g40[t]^2 - 1550654027095345608*lu1^9* f22n[t]*g40[t]^2 - 3852707646998808336*lu1^10*f22n[t]*g40[t]^2 - 1384644661421217600*lu1^11*f22n[t]*g40[t]^2 + 3192620210408337600* lu1^12*f22n[t]*g40[t]^2 + 2098726819497840000*lu1^13*f22n[t]* g40[t]^2 - 199071675*Sqrt[3]*f42n[t]*g40[t]^2 - 55152383220*Sqrt[3]*lu1*f42n[t]*g40[t]^2 + 1121514517035*Sqrt[3]* lu1^2*f42n[t]*g40[t]^2 + 45602754358590*Sqrt[3]*lu1^3*f42n[t]* g40[t]^2 - 399392024875965*Sqrt[3]*lu1^4*f42n[t]*g40[t]^2 - 4368665575813440*Sqrt[3]*lu1^5*f42n[t]*g40[t]^2 + 20740406683056885*Sqrt[3]*lu1^6*f42n[t]*g40[t]^2 + 174481015888805670*Sqrt[3]*lu1^7*f42n[t]*g40[t]^2 - 214421575454052120*Sqrt[3]*lu1^8*f42n[t]*g40[t]^2 - 2626142523159426480*Sqrt[3]*lu1^9*f42n[t]*g40[t]^2 - 3380469696110461680*Sqrt[3]*lu1^10*f42n[t]*g40[t]^2 + 2813976642200037600*Sqrt[3]*lu1^11*f42n[t]*g40[t]^2 + 5813555287665312000*Sqrt[3]*lu1^12*f42n[t]*g40[t]^2 + 841937017521600000*Sqrt[3]*lu1^13*f42n[t]*g40[t]^2 - 343927790100*f22n[t]*f42[t]*g42[t] + 2952499372740*lu1*f22n[t]*f42[t]* g42[t] + 303946619202900*lu1^2*f22n[t]*f42[t]*g42[t] + 2604349890965700*lu1^3*f22n[t]*f42[t]*g42[t] - 88982249535146820*lu1^4*f22n[t]*f42[t]*g42[t] - 182210389533937860*lu1^5*f22n[t]*f42[t]*g42[t] + 4552795642181641020*lu1^6*f22n[t]*f42[t]*g42[t] - 8346828062223796500*lu1^7*f22n[t]*f42[t]*g42[t] - 27755010205259376600*lu1^8*f22n[t]*f42[t]*g42[t] + 197811736071191879760*lu1^9*f22n[t]*f42[t]*g42[t] + 420292667888622706080*lu1^10*f22n[t]*f42[t]*g42[t] - 105025960276409176320*lu1^11*f22n[t]*f42[t]*g42[t] - 486586584695342476800*lu1^12*f22n[t]*f42[t]*g42[t] - 127893585249279360000*lu1^13*f22n[t]*f42[t]*g42[t] + 210547286820*Sqrt[3]*f42[t]*f42n[t]*g42[t] + 7485949975500*Sqrt[3]* lu1*f42[t]*f42n[t]*g42[t] - 356516000989380*Sqrt[3]*lu1^2*f42[t]* f42n[t]*g42[t] - 8137781016626700*Sqrt[3]*lu1^3*f42[t]*f42n[t]* g42[t] + 30801509440993980*Sqrt[3]*lu1^4*f42[t]*f42n[t]*g42[t] + 1047796963823561940*Sqrt[3]*lu1^5*f42[t]*f42n[t]*g42[t] + 2978396135673001380*Sqrt[3]*lu1^6*f42[t]*f42n[t]*g42[t] - 40393935732889018260*Sqrt[3]*lu1^7*f42[t]*f42n[t]*g42[t] - 112297556449725134400*Sqrt[3]*lu1^8*f42[t]*f42n[t]*g42[t] + 142928286618627408960*Sqrt[3]*lu1^9*f42[t]*f42n[t]*g42[t] + 505431425030230080000*Sqrt[3]*lu1^10*f42[t]*f42n[t]*g42[t] + 71655014273778711360*Sqrt[3]*lu1^11*f42[t]*f42n[t]*g42[t] - 319528496766192134400*Sqrt[3]*lu1^12*f42[t]*f42n[t]*g42[t] - 41045094965629440000*Sqrt[3]*lu1^13*f42[t]*f42n[t]*g42[t] - 52304773140*Sqrt[210]*f40[t]*f44n[t]*g42[t] - 1770366633228*Sqrt[210]* lu1*f40[t]*f44n[t]*g42[t] + 88766355719124*Sqrt[210]*lu1^2*f40[t]* f44n[t]*g42[t] + 1488815862792876*Sqrt[210]*lu1^3*f40[t]*f44n[t]* g42[t] - 13368976098075756*Sqrt[210]*lu1^4*f40[t]*f44n[t]*g42[t] - 262255866415383636*Sqrt[210]*lu1^5*f40[t]*f44n[t]*g42[t] - 525151224471914676*Sqrt[210]*lu1^6*f40[t]*f44n[t]*g42[t] + 9211583401166251188*Sqrt[210]*lu1^7*f40[t]*f44n[t]*g42[t] + 32149971880532363232*Sqrt[210]*lu1^8*f40[t]*f44n[t]*g42[t] + 4451598629218507968*Sqrt[210]*lu1^9*f40[t]*f44n[t]*g42[t] - 74230263686060819712*Sqrt[210]*lu1^10*f40[t]*f44n[t]*g42[t] - 50691439538439600960*Sqrt[210]*lu1^11*f40[t]*f44n[t]*g42[t] + 20386655017947590400*Sqrt[210]*lu1^12*f40[t]*f44n[t]*g42[t] + 9466441437825792000*Sqrt[210]*lu1^13*f40[t]*f44n[t]*g42[t] - 314512470*Sqrt[42]*f44n[t]*g20[t]*g42[t] - 92849719230*Sqrt[42]*lu1* f44n[t]*g20[t]*g42[t] + 2130768208350*Sqrt[42]*lu1^2*f44n[t]*g20[t]* g42[t] + 62103308864850*Sqrt[42]*lu1^3*f44n[t]*g20[t]*g42[t] - 565426956253230*Sqrt[42]*lu1^4*f44n[t]*g20[t]*g42[t] - 5143202653475610*Sqrt[42]*lu1^5*f44n[t]*g20[t]*g42[t] + 19452048833992890*Sqrt[42]*lu1^6*f44n[t]*g20[t]*g42[t] + 215814018305848950*Sqrt[42]*lu1^7*f44n[t]*g20[t]*g42[t] + 25358361774864300*Sqrt[42]*lu1^8*f44n[t]*g20[t]*g42[t] - 3016807101185610960*Sqrt[42]*lu1^9*f44n[t]*g20[t]*g42[t] - 7762207885622835840*Sqrt[42]*lu1^10*f44n[t]*g20[t]*g42[t] - 5117822470431828000*Sqrt[42]*lu1^11*f44n[t]*g20[t]*g42[t] + 3158289233710008000*Sqrt[42]*lu1^12*f44n[t]*g20[t]*g42[t] + 3416660577771840000*Sqrt[42]*lu1^13*f44n[t]*g20[t]*g42[t] + 415945530*Sqrt[3]*f22n[t]*g22[t]*g42[t] + 101344763520*Sqrt[3]*lu1* f22n[t]*g22[t]*g42[t] - 2355147644850*Sqrt[3]*lu1^2*f22n[t]*g22[t]* g42[t] - 75697933491180*Sqrt[3]*lu1^3*f22n[t]*g22[t]*g42[t] + 850988313245070*Sqrt[3]*lu1^4*f22n[t]*g22[t]*g42[t] + 3336526253019960*Sqrt[3]*lu1^5*f22n[t]*g22[t]*g42[t] - 21972599379640910*Sqrt[3]*lu1^6*f22n[t]*g22[t]*g42[t] - 162116692874436300*Sqrt[3]*lu1^7*f22n[t]*g22[t]*g42[t] + 9809897653996440*Sqrt[3]*lu1^8*f22n[t]*g22[t]*g42[t] + 2412817566186867840*Sqrt[3]*lu1^9*f22n[t]*g22[t]*g42[t] + 6546183146295592800*Sqrt[3]*lu1^10*f22n[t]*g22[t]*g42[t] + 5037924106820404800*Sqrt[3]*lu1^11*f22n[t]*g22[t]*g42[t] - 2162462258804848000*Sqrt[3]*lu1^12*f22n[t]*g22[t]*g42[t] - 3181509548817600000*Sqrt[3]*lu1^13*f22n[t]*g22[t]*g42[t] - 6456145500*f42n[t]*g22[t]*g42[t] - 1091069034804*lu1*f42n[t]*g22[t]* g42[t] + 28167139067004*lu1^2*f42n[t]*g22[t]*g42[t] + 702048075722532*lu1^3*f42n[t]*g22[t]*g42[t] - 6300022926576372*lu1^4* f42n[t]*g22[t]*g42[t] - 44673024892654284*lu1^5*f42n[t]*g22[t]* g42[t] + 112695448338220356*lu1^6*f42n[t]*g22[t]*g42[t] + 1746774056822164188*lu1^7*f42n[t]*g22[t]*g42[t] + 4111988628171422544*lu1^8*f42n[t]*g22[t]*g42[t] - 20116169284270108224*lu1^9*f42n[t]*g22[t]*g42[t] - 111892757090519565888*lu1^10*f42n[t]*g22[t]*g42[t] - 178139308153639060032*lu1^11*f42n[t]*g22[t]*g42[t] - 85606780334107065600*lu1^12*f42n[t]*g22[t]*g42[t] + 9829325458070899200*lu1^13*f42n[t]*g22[t]*g42[t] + 17049120570*f42[t]*g22n[t]*g42[t] + 622534672440*lu1*f42[t]*g22n[t]* g42[t] - 22855564867770*lu1^2*f42[t]*g22n[t]*g42[t] - 793207433622780*lu1^3*f42[t]*g22n[t]*g42[t] + 6204854845177710*lu1^4* f42[t]*g22n[t]*g42[t] + 64289961811378320*lu1^5*f42[t]*g22n[t]* g42[t] - 136246885301862870*lu1^6*f42[t]*g22n[t]*g42[t] - 2669506658483708940*lu1^7*f42[t]*g22n[t]*g42[t] - 4067049742258808760*lu1^8*f42[t]*g22n[t]*g42[t] + 34254291995033862720*lu1^9*f42[t]*g22n[t]*g42[t] + 135043167182064142560*lu1^10*f42[t]*g22n[t]*g42[t] + 153662811840446856000*lu1^11*f42[t]*g22n[t]*g42[t] + 11875440519790128000*lu1^12*f42[t]*g22n[t]*g42[t] - 47878786277622720000*lu1^13*f42[t]*g22n[t]*g42[t] - 41082795*Sqrt[210]*f44n[t]*g40[t]*g42[t] + 122737502772*Sqrt[210]*lu1* f44n[t]*g40[t]*g42[t] - 1344962862261*Sqrt[210]*lu1^2*f44n[t]*g40[t]* g42[t] - 29448816398874*Sqrt[210]*lu1^3*f44n[t]*g40[t]*g42[t] + 74383545909699*Sqrt[210]*lu1^4*f44n[t]*g40[t]*g42[t] + 1905916775093304*Sqrt[210]*lu1^5*f44n[t]*g40[t]*g42[t] + 9793104247404309*Sqrt[210]*lu1^6*f44n[t]*g40[t]*g42[t] - 98124352122683682*Sqrt[210]*lu1^7*f44n[t]*g40[t]*g42[t] - 323143803115492968*Sqrt[210]*lu1^8*f44n[t]*g40[t]*g42[t] + 1007016745953662928*Sqrt[210]*lu1^9*f44n[t]*g40[t]*g42[t] + 4444934563335711888*Sqrt[210]*lu1^10*f44n[t]*g40[t]*g42[t] + 3978463321679806560*Sqrt[210]*lu1^11*f44n[t]*g40[t]*g42[t] - 928838269862400000*Sqrt[210]*lu1^12*f44n[t]*g40[t]*g42[t] - 1554379359422400000*Sqrt[210]*lu1^13*f44n[t]*g40[t]*g42[t] + 8874933480*f22n[t]*g42[t]^2 - 440449761780*lu1*f22n[t]*g42[t]^2 - 1485437146200*lu1^2*f22n[t]*g42[t]^2 + 126076076089740*lu1^3*f22n[t]* g42[t]^2 + 496923143625720*lu1^4*f22n[t]*g42[t]^2 - 10341410292107580*lu1^5*f22n[t]*g42[t]^2 - 57298867577848680*lu1^6* f22n[t]*g42[t]^2 + 403480960463794500*lu1^7*f22n[t]*g42[t]^2 + 1699563165963878880*lu1^8*f22n[t]*g42[t]^2 - 3198175372195342560* lu1^9*f22n[t]*g42[t]^2 - 21180064277395860480*lu1^10*f22n[t]* g42[t]^2 - 30340805121434351040*lu1^11*f22n[t]*g42[t]^2 - 13454447914664601600*lu1^12*f22n[t]*g42[t]^2 + 185159576367360000*lu1^13*f22n[t]*g42[t]^2 + 930327930*Sqrt[3]* f42n[t]*g42[t]^2 - 498310773660*Sqrt[3]*lu1*f42n[t]*g42[t]^2 + 3776604590430*Sqrt[3]*lu1^2*f42n[t]*g42[t]^2 + 38612606263560*Sqrt[3]* lu1^3*f42n[t]*g42[t]^2 + 759740356290510*Sqrt[3]*lu1^4*f42n[t]* g42[t]^2 - 2605520311544220*Sqrt[3]*lu1^5*f42n[t]*g42[t]^2 - 119736434656538910*Sqrt[3]*lu1^6*f42n[t]*g42[t]^2 + 339263443241246160*Sqrt[3]*lu1^7*f42n[t]*g42[t]^2 + 3000721990495020120*Sqrt[3]*lu1^8*f42n[t]*g42[t]^2 - 2279617834518874080*Sqrt[3]*lu1^9*f42n[t]*g42[t]^2 - 31507414158731081760*Sqrt[3]*lu1^10*f42n[t]*g42[t]^2 - 48296673780609031680*Sqrt[3]*lu1^11*f42n[t]*g42[t]^2 - 13598385067046908800*Sqrt[3]*lu1^12*f42n[t]*g42[t]^2 + 10414720904898240000*Sqrt[3]*lu1^13*f42n[t]*g42[t]^2 - 24529319100*Sqrt[3]*f22n[t]^2*g42n[t] - 678210132600*Sqrt[3]*lu1* f22n[t]^2*g42n[t] + 42924120396300*Sqrt[3]*lu1^2*f22n[t]^2*g42n[t] + 588982433410800*Sqrt[3]*lu1^3*f22n[t]^2*g42n[t] - 12595781036510100*Sqrt[3]*lu1^4*f22n[t]^2*g42n[t] - 17928682325868600*Sqrt[3]*lu1^5*f22n[t]^2*g42n[t] + 463908792296134900*Sqrt[3]*lu1^6*f22n[t]^2*g42n[t] - 126972727071590400*Sqrt[3]*lu1^7*f22n[t]^2*g42n[t] - 1828396129151420400*Sqrt[3]*lu1^8*f22n[t]^2*g42n[t] + 1376238632612500800*Sqrt[3]*lu1^9*f22n[t]^2*g42n[t] + 4319339868141355200*Sqrt[3]*lu1^10*f22n[t]^2*g42n[t] + 17119453652783539200*Sqrt[3]*lu1^11*f22n[t]^2*g42n[t] + 31885599524251616000*Sqrt[3]*lu1^12*f22n[t]^2*g42n[t] + 14454259450350720000*Sqrt[3]*lu1^13*f22n[t]^2*g42n[t] + 51323616900*Sqrt[3]*f40[t]^2*g42n[t] + 2520882379080*Sqrt[3]*lu1* f40[t]^2*g42n[t] - 69184880760240*Sqrt[3]*lu1^2*f40[t]^2*g42n[t] - 2137486522723560*Sqrt[3]*lu1^3*f40[t]^2*g42n[t] - 8050916300087640*Sqrt[3]*lu1^4*f40[t]^2*g42n[t] - 27087395818863240*Sqrt[3]*lu1^5*f40[t]^2*g42n[t] + 559919469881570160*Sqrt[3]*lu1^6*f40[t]^2*g42n[t] + 1526006414126166120*Sqrt[3]*lu1^7*f40[t]^2*g42n[t] + 6695466084969890580*Sqrt[3]*lu1^8*f40[t]^2*g42n[t] + 33730069562114497920*Sqrt[3]*lu1^9*f40[t]^2*g42n[t] + 38143747758259801920*Sqrt[3]*lu1^10*f40[t]^2*g42n[t] - 37602582113274148800*Sqrt[3]*lu1^11*f40[t]^2*g42n[t] - 51670442983640808000*Sqrt[3]*lu1^12*f40[t]^2*g42n[t] + 5648002574165280000*Sqrt[3]*lu1^13*f40[t]^2*g42n[t] - 39390557580*Sqrt[3]*f42[t]^2*g42n[t] - 1245569210460*Sqrt[3]*lu1* f42[t]^2*g42n[t] + 79977496139820*Sqrt[3]*lu1^2*f42[t]^2*g42n[t] + 3797010924193260*Sqrt[3]*lu1^3*f42[t]^2*g42n[t] + 7517395239779820*Sqrt[3]*lu1^4*f42[t]^2*g42n[t] - 413213963521207140*Sqrt[3]*lu1^5*f42[t]^2*g42n[t] - 1656478117480629900*Sqrt[3]*lu1^6*f42[t]^2*g42n[t] + 20359583425386329940*Sqrt[3]*lu1^7*f42[t]^2*g42n[t] + 29127834080167979520*Sqrt[3]*lu1^8*f42[t]^2*g42n[t] - 207440568109732800960*Sqrt[3]*lu1^9*f42[t]^2*g42n[t] - 393595952751463589760*Sqrt[3]*lu1^10*f42[t]^2*g42n[t] + 90546890821690818240*Sqrt[3]*lu1^11*f42[t]^2*g42n[t] + 346216443181611398400*Sqrt[3]*lu1^12*f42[t]^2*g42n[t] + 23487058037560320000*Sqrt[3]*lu1^13*f42[t]^2*g42n[t] + 130555769220*f22n[t]*f42n[t]*g42n[t] + 19066341373740*lu1*f22n[t]* f42n[t]*g42n[t] - 445331747703420*lu1^2*f22n[t]*f42n[t]*g42n[t] - 12052206962100180*lu1^3*f22n[t]*f42n[t]*g42n[t] + 56508900267178140*lu1^4*f22n[t]*f42n[t]*g42n[t] + 440447849743473300*lu1^5*f22n[t]*f42n[t]*g42n[t] + 1734974842928925420*lu1^6*f22n[t]*f42n[t]*g42n[t] - 22804062877959322140*lu1^7*f22n[t]*f42n[t]*g42n[t] - 38792213395497326160*lu1^8*f22n[t]*f42n[t]*g42n[t] + 243260553356279092080*lu1^9*f22n[t]*f42n[t]*g42n[t] + 611141593484439721920*lu1^10*f22n[t]*f42n[t]*g42n[t] + 211989408029631142080*lu1^11*f22n[t]*f42n[t]*g42n[t] - 360699701475665260800*lu1^12*f22n[t]*f42n[t]*g42n[t] - 204676863775463520000*lu1^13*f22n[t]*f42n[t]*g42n[t] + 171156729240*Sqrt[3]*f42n[t]^2*g42n[t] + 6240380765040*Sqrt[3]*lu1* f42n[t]^2*g42n[t] - 276538504849560*Sqrt[3]*lu1^2*f42n[t]^2* g42n[t] - 4340770092433440*Sqrt[3]*lu1^3*f42n[t]^2*g42n[t] + 38318904680773800*Sqrt[3]*lu1^4*f42n[t]^2*g42n[t] + 634583000302354800*Sqrt[3]*lu1^5*f42n[t]^2*g42n[t] + 1321918018192371480*Sqrt[3]*lu1^6*f42n[t]^2*g42n[t] - 20034352307502688320*Sqrt[3]*lu1^7*f42n[t]^2*g42n[t] - 83169722369557154880*Sqrt[3]*lu1^8*f42n[t]^2*g42n[t] - 64512281491105392000*Sqrt[3]*lu1^9*f42n[t]^2*g42n[t] + 111835472278766490240*Sqrt[3]*lu1^10*f42n[t]^2*g42n[t] + 162201905095469529600*Sqrt[3]*lu1^11*f42n[t]^2*g42n[t] + 26687946415419264000*Sqrt[3]*lu1^12*f42n[t]^2*g42n[t] - 17558036928069120000*Sqrt[3]*lu1^13*f42n[t]^2*g42n[t] + 52304773140*Sqrt[210]*f40[t]*f44[t]*g42n[t] + 1770366633228*Sqrt[210]* lu1*f40[t]*f44[t]*g42n[t] - 88766355719124*Sqrt[210]*lu1^2*f40[t]* f44[t]*g42n[t] - 1488815862792876*Sqrt[210]*lu1^3*f40[t]*f44[t]* g42n[t] + 13368976098075756*Sqrt[210]*lu1^4*f40[t]*f44[t]*g42n[t] + 262255866415383636*Sqrt[210]*lu1^5*f40[t]*f44[t]*g42n[t] + 525151224471914676*Sqrt[210]*lu1^6*f40[t]*f44[t]*g42n[t] - 9211583401166251188*Sqrt[210]*lu1^7*f40[t]*f44[t]*g42n[t] - 32149971880532363232*Sqrt[210]*lu1^8*f40[t]*f44[t]*g42n[t] - 4451598629218507968*Sqrt[210]*lu1^9*f40[t]*f44[t]*g42n[t] + 74230263686060819712*Sqrt[210]*lu1^10*f40[t]*f44[t]*g42n[t] + 50691439538439600960*Sqrt[210]*lu1^11*f40[t]*f44[t]*g42n[t] - 20386655017947590400*Sqrt[210]*lu1^12*f40[t]*f44[t]*g42n[t] - 9466441437825792000*Sqrt[210]*lu1^13*f40[t]*f44[t]*g42n[t] - 350268831360*Sqrt[3]*f44[t]^2*g42n[t] - 13330970309160*Sqrt[3]*lu1* f44[t]^2*g42n[t] + 545881932779400*Sqrt[3]*lu1^2*f44[t]^2*g42n[t] + 7575190583887080*Sqrt[3]*lu1^3*f44[t]^2*g42n[t] - 76282128654675720*Sqrt[3]*lu1^4*f44[t]^2*g42n[t] - 975631761044662680*Sqrt[3]*lu1^5*f44[t]^2*g42n[t] - 1912796937985369800*Sqrt[3]*lu1^6*f44[t]^2*g42n[t] + 25478311388663712600*Sqrt[3]*lu1^7*f44[t]^2*g42n[t] + 142457244629022396360*Sqrt[3]*lu1^8*f44[t]^2*g42n[t] + 244831562013956319360*Sqrt[3]*lu1^9*f44[t]^2*g42n[t] + 13297192104602878080*Sqrt[3]*lu1^10*f44[t]^2*g42n[t] - 359700015996550172160*Sqrt[3]*lu1^11*f44[t]^2*g42n[t] - 249739892962818921600*Sqrt[3]*lu1^12*f44[t]^2*g42n[t] + 15692700114987840000*Sqrt[3]*lu1^13*f44[t]^2*g42n[t] - 350268831360*Sqrt[3]*f44n[t]^2*g42n[t] - 13330970309160*Sqrt[3]*lu1* f44n[t]^2*g42n[t] + 545881932779400*Sqrt[3]*lu1^2*f44n[t]^2* g42n[t] + 7575190583887080*Sqrt[3]*lu1^3*f44n[t]^2*g42n[t] - 76282128654675720*Sqrt[3]*lu1^4*f44n[t]^2*g42n[t] - 975631761044662680*Sqrt[3]*lu1^5*f44n[t]^2*g42n[t] - 1912796937985369800*Sqrt[3]*lu1^6*f44n[t]^2*g42n[t] + 25478311388663712600*Sqrt[3]*lu1^7*f44n[t]^2*g42n[t] + 142457244629022396360*Sqrt[3]*lu1^8*f44n[t]^2*g42n[t] + 244831562013956319360*Sqrt[3]*lu1^9*f44n[t]^2*g42n[t] + 13297192104602878080*Sqrt[3]*lu1^10*f44n[t]^2*g42n[t] - 359700015996550172160*Sqrt[3]*lu1^11*f44n[t]^2*g42n[t] - 249739892962818921600*Sqrt[3]*lu1^12*f44n[t]^2*g42n[t] + 15692700114987840000*Sqrt[3]*lu1^13*f44n[t]^2*g42n[t] + 775146672*Sqrt[15]*f40[t]*g20[t]*g42n[t] + 521538750*Sqrt[15]*lu1* f40[t]*g20[t]*g42n[t] - 399496064472*Sqrt[15]*lu1^2*f40[t]*g20[t]* g42n[t] - 18612699407478*Sqrt[15]*lu1^3*f40[t]*g20[t]*g42n[t] + 60245785569756*Sqrt[15]*lu1^4*f40[t]*g20[t]*g42n[t] + 827611894126866*Sqrt[15]*lu1^5*f40[t]*g20[t]*g42n[t] - 5890048592159760*Sqrt[15]*lu1^6*f40[t]*g20[t]*g42n[t] - 227710367431070394*Sqrt[15]*lu1^7*f40[t]*g20[t]*g42n[t] + 149901238209991164*Sqrt[15]*lu1^8*f40[t]*g20[t]*g42n[t] + 6202408638840793152*Sqrt[15]*lu1^9*f40[t]*g20[t]*g42n[t] + 16383090567250883424*Sqrt[15]*lu1^10*f40[t]*g20[t]*g42n[t] + 12387460646055692640*Sqrt[15]*lu1^11*f40[t]*g20[t]*g42n[t] - 2491406188936238400*Sqrt[15]*lu1^12*f40[t]*g20[t]*g42n[t] - 4252869079681824000*Sqrt[15]*lu1^13*f40[t]*g20[t]*g42n[t] + 314512470*Sqrt[42]*f44[t]*g20[t]*g42n[t] + 92849719230*Sqrt[42]*lu1* f44[t]*g20[t]*g42n[t] - 2130768208350*Sqrt[42]*lu1^2*f44[t]*g20[t]* g42n[t] - 62103308864850*Sqrt[42]*lu1^3*f44[t]*g20[t]*g42n[t] + 565426956253230*Sqrt[42]*lu1^4*f44[t]*g20[t]*g42n[t] + 5143202653475610*Sqrt[42]*lu1^5*f44[t]*g20[t]*g42n[t] - 19452048833992890*Sqrt[42]*lu1^6*f44[t]*g20[t]*g42n[t] - 215814018305848950*Sqrt[42]*lu1^7*f44[t]*g20[t]*g42n[t] - 25358361774864300*Sqrt[42]*lu1^8*f44[t]*g20[t]*g42n[t] + 3016807101185610960*Sqrt[42]*lu1^9*f44[t]*g20[t]*g42n[t] + 7762207885622835840*Sqrt[42]*lu1^10*f44[t]*g20[t]*g42n[t] + 5117822470431828000*Sqrt[42]*lu1^11*f44[t]*g20[t]*g42n[t] - 3158289233710008000*Sqrt[42]*lu1^12*f44[t]*g20[t]*g42n[t] - 3416660577771840000*Sqrt[42]*lu1^13*f44[t]*g20[t]*g42n[t] - 14339461590*f42[t]*g22[t]*g42n[t] - 695195752896*lu1*f42[t]*g22[t]* g42n[t] + 23185460644686*lu1^2*f42[t]*g22[t]*g42n[t] + 783658106606628*lu1^3*f42[t]*g22[t]*g42n[t] - 7319552168534898*lu1^4* f42[t]*g22[t]*g42n[t] - 53664466405336536*lu1^5*f42[t]*g22[t]* g42n[t] + 277010129948753394*lu1^6*f42[t]*g22[t]*g42n[t] + 745467263378230692*lu1^7*f42[t]*g22[t]*g42n[t] - 2183457875859273624*lu1^8*f42[t]*g22[t]*g42n[t] + 4336734139551762384*lu1^9*f42[t]*g22[t]*g42n[t] + 54957789159296551008*lu1^10*f42[t]*g22[t]*g42n[t] + 119934782875897789632*lu1^11*f42[t]*g22[t]*g42n[t] + 111046975422001161600*lu1^12*f42[t]*g22[t]*g42n[t] + 39744366796338220800*lu1^13*f42[t]*g22[t]*g42n[t] + 1729457730*Sqrt[3]*f22n[t]*g22n[t]*g42n[t] + 137439244800*Sqrt[3]*lu1* f22n[t]*g22n[t]*g42n[t] - 4811055922530*Sqrt[3]*lu1^2*f22n[t]* g22n[t]*g42n[t] - 103935676064220*Sqrt[3]*lu1^3*f22n[t]*g22n[t]* g42n[t] + 1647055598206590*Sqrt[3]*lu1^4*f22n[t]*g22n[t]*g42n[t] + 2638726992827640*Sqrt[3]*lu1^5*f22n[t]*g22n[t]*g42n[t] - 55190223669788350*Sqrt[3]*lu1^6*f22n[t]*g22n[t]*g42n[t] + 84860721754319940*Sqrt[3]*lu1^7*f22n[t]*g22n[t]*g42n[t] + 395335227083871360*Sqrt[3]*lu1^8*f22n[t]*g22n[t]*g42n[t] - 2357592887695050720*Sqrt[3]*lu1^9*f22n[t]*g22n[t]*g42n[t] - 10977656491022089440*Sqrt[3]*lu1^10*f22n[t]*g22n[t]*g42n[t] - 18936385927934904000*Sqrt[3]*lu1^11*f22n[t]*g22n[t]*g42n[t] - 15295743853566176000*Sqrt[3]*lu1^12*f22n[t]*g22n[t]*g42n[t] - 4526610613324800000*Sqrt[3]*lu1^13*f22n[t]*g22n[t]*g42n[t] - 3746486520*f42n[t]*g22n[t]*g42n[t] - 1163730115260*lu1*f42n[t]* g22n[t]*g42n[t] + 28497034843920*lu1^2*f42n[t]*g22n[t]*g42n[t] + 692498748706380*lu1^3*f42n[t]*g22n[t]*g42n[t] - 7414720249933560*lu1^4*f42n[t]*g22n[t]*g42n[t] - 34047529486612500*lu1^5*f42n[t]*g22n[t]*g42n[t] + 253458692985110880*lu1^6*f42n[t]*g22n[t]*g42n[t] - 177265338283314060*lu1^7*f42n[t]*g22n[t]*g42n[t] - 2138518989946659840*lu1^8*f42n[t]*g22n[t]*g42n[t] + 18474856850315516880*lu1^9*f42n[t]*g22n[t]*g42n[t] + 78108199250841127680*lu1^10*f42n[t]*g22n[t]*g42n[t] + 95458286562705585600*lu1^11*f42n[t]*g22n[t]*g42n[t] + 37315635607684224000*lu1^12*f42n[t]*g22n[t]*g42n[t] + 1694905976786400000*lu1^13*f42n[t]*g22n[t]*g42n[t] + 237825315*Sqrt[3]*f40[t]*g40[t]*g42n[t] - 84450499560*Sqrt[3]*lu1* f40[t]*g40[t]*g42n[t] + 383456086965*Sqrt[3]*lu1^2*f40[t]*g40[t]* g42n[t] - 21810295522890*Sqrt[3]*lu1^3*f40[t]*g40[t]*g42n[t] + 375638896576125*Sqrt[3]*lu1^4*f40[t]*g40[t]*g42n[t] + 4470576340303500*Sqrt[3]*lu1^5*f40[t]*g40[t]*g42n[t] - 33713368780554645*Sqrt[3]*lu1^6*f40[t]*g40[t]*g42n[t] - 190940925275149770*Sqrt[3]*lu1^7*f40[t]*g40[t]*g42n[t] + 426623440150116720*Sqrt[3]*lu1^8*f40[t]*g40[t]*g42n[t] + 3341259756385412400*Sqrt[3]*lu1^9*f40[t]*g40[t]*g42n[t] + 4379336381272209840*Sqrt[3]*lu1^10*f40[t]*g40[t]*g42n[t] - 1839648874863156000*Sqrt[3]*lu1^11*f40[t]*g40[t]*g42n[t] - 5082941448416496000*Sqrt[3]*lu1^12*f40[t]*g40[t]*g42n[t] - 604567860744960000*Sqrt[3]*lu1^13*f40[t]*g40[t]*g42n[t] + 41082795*Sqrt[210]*f44[t]*g40[t]*g42n[t] - 122737502772*Sqrt[210]*lu1* f44[t]*g40[t]*g42n[t] + 1344962862261*Sqrt[210]*lu1^2*f44[t]*g40[t]* g42n[t] + 29448816398874*Sqrt[210]*lu1^3*f44[t]*g40[t]*g42n[t] - 74383545909699*Sqrt[210]*lu1^4*f44[t]*g40[t]*g42n[t] - 1905916775093304*Sqrt[210]*lu1^5*f44[t]*g40[t]*g42n[t] - 9793104247404309*Sqrt[210]*lu1^6*f44[t]*g40[t]*g42n[t] + 98124352122683682*Sqrt[210]*lu1^7*f44[t]*g40[t]*g42n[t] + 323143803115492968*Sqrt[210]*lu1^8*f44[t]*g40[t]*g42n[t] - 1007016745953662928*Sqrt[210]*lu1^9*f44[t]*g40[t]*g42n[t] - 4444934563335711888*Sqrt[210]*lu1^10*f44[t]*g40[t]*g42n[t] - 3978463321679806560*Sqrt[210]*lu1^11*f44[t]*g40[t]*g42n[t] + 928838269862400000*Sqrt[210]*lu1^12*f44[t]*g40[t]*g42n[t] + 1554379359422400000*Sqrt[210]*lu1^13*f44[t]*g40[t]*g42n[t] - 852820650*Sqrt[3]*f42[t]*g42[t]*g42n[t] + 219105008100*Sqrt[3]*lu1* f42[t]*g42[t]*g42n[t] - 766663382430*Sqrt[3]*lu1^2*f42[t]*g42[t]* g42n[t] + 8972311407840*Sqrt[3]*lu1^3*f42[t]*g42[t]*g42n[t] - 807246612890190*Sqrt[3]*lu1^4*f42[t]*g42[t]*g42n[t] + 2809341840524340*Sqrt[3]*lu1^5*f42[t]*g42[t]*g42n[t] + 93790510461543390*Sqrt[3]*lu1^6*f42[t]*g42[t]*g42n[t] - 372183262013934360*Sqrt[3]*lu1^7*f42[t]*g42[t]*g42n[t] - 2576318261102890920*Sqrt[3]*lu1^8*f42[t]*g42[t]*g42n[t] + 3709852300970845920*Sqrt[3]*lu1^9*f42[t]*g42[t]*g42n[t] + 33505147529054578080*Sqrt[3]*lu1^10*f42[t]*g42[t]*g42n[t] + 50245329315282794880*Sqrt[3]*lu1^11*f42[t]*g42[t]*g42n[t] + 15059612745544540800*Sqrt[3]*lu1^12*f42[t]*g42[t]*g42n[t] - 9939982591344960000*Sqrt[3]*lu1^13*f42[t]*g42[t]*g42n[t] + 3565837890*f22n[t]*g42n[t]^2 - 474906165480*lu1*f22n[t]*g42n[t]^2 + 6216457702590*lu1^2*f22n[t]*g42n[t]^2 + 139416604139700*lu1^3*f22n[t]* g42n[t]^2 - 1428276826010250*lu1^4*f22n[t]*g42n[t]^2 - 4446808348742400*lu1^5*f22n[t]*g42n[t]^2 + 38358799468997970*lu1^6* f22n[t]*g42n[t]^2 + 169585344412736580*lu1^7*f22n[t]*g42n[t]^2 - 475697510949162600*lu1^8*f22n[t]*g42n[t]^2 - 2623080010752262800* lu1^9*f22n[t]*g42n[t]^2 + 236144350487420640*lu1^10*f22n[t]* g42n[t]^2 + 12845772173998119360*lu1^11*f22n[t]*g42n[t]^2 + 17411388711128246400*lu1^12*f22n[t]*g42n[t]^2 + 6411315973537440000*lu1^13*f22n[t]*g42n[t]^2 + 77507280*Sqrt[3]*f42n[t]*g42n[t]^2 - 279205765560*Sqrt[3]*lu1*f42n[t]* g42n[t]^2 + 3009941208000*Sqrt[3]*lu1^2*f42n[t]*g42n[t]^2 + 47584917671400*Sqrt[3]*lu1^3*f42n[t]*g42n[t]^2 - 47506256599680*Sqrt[3]*lu1^4*f42n[t]*g42n[t]^2 + 203821528980120*Sqrt[3]*lu1^5*f42n[t]*g42n[t]^2 - 25945924194995520*Sqrt[3]*lu1^6*f42n[t]*g42n[t]^2 - 32919818772688200*Sqrt[3]*lu1^7*f42n[t]*g42n[t]^2 + 424403729392129200*Sqrt[3]*lu1^8*f42n[t]*g42n[t]^2 + 1430234466451971840*Sqrt[3]*lu1^9*f42n[t]*g42n[t]^2 + 1997733370323496320*Sqrt[3]*lu1^10*f42n[t]*g42n[t]^2 + 1948655534673763200*Sqrt[3]*lu1^11*f42n[t]*g42n[t]^2 + 1461227678497632000*Sqrt[3]*lu1^12*f42n[t]*g42n[t]^2 + 474738313553280000*Sqrt[3]*lu1^13*f42n[t]*g42n[t]^2 + 143*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f20[t]^2* (297*(-60183 + 4147215*lu1 - 48405314*lu1^2 - 527565578*lu1^3 + 6534364805*lu1^4 + 19128873699*lu1^5 - 17660679660*lu1^6 + 82279079832*lu1^7 - 507191117296*lu1^8 - 192104012560*lu1^9 + 127132936000*lu1^10)*f22n[t] - 20*Sqrt[3]*(-2403000 + 94404555*lu1 - 375271833*lu1^2 - 13825434450*lu1^3 + 104853448118*lu1^4 - 119967178545*lu1^5 - 538638148365*lu1^6 + 1673641596744*lu1^7 + 4753316953080*lu1^8 + 4759857047856*lu1^9 + 341428822000*lu1^10)*f42n[t] - 14354901*g22n[t] - 77871915*lu1*g22n[t] + 8593972002*lu1^2*g22n[t] + 22262314734*lu1^3*g22n[t] - 1004526735465*lu1^4*g22n[t] - 4463231328567*lu1^5*g22n[t] - 2824379888220*lu1^6*g22n[t] - 17152732341756*lu1^7*g22n[t] - 20440551448152*lu1^8*g22n[t] - 25160618910240*lu1^9*g22n[t] - 9839755543200*lu1^10*g22n[t] + 901530*Sqrt[3]*g42n[t] + 39047670*Sqrt[3]*lu1*g42n[t] - 1523678220*Sqrt[3]*lu1^2*g42n[t] - 23068571100*Sqrt[3]*lu1^3* g42n[t] + 239557488370*Sqrt[3]*lu1^4*g42n[t] + 312237880110*Sqrt[3]*lu1^5*g42n[t] - 3090471717360*Sqrt[3]*lu1^6* g42n[t] - 5188592566440*Sqrt[3]*lu1^7*g42n[t] + 4976475646800*Sqrt[3]*lu1^8*g42n[t] + 12979049144640*Sqrt[3]*lu1^9* g42n[t] + 6107289320000*Sqrt[3]*lu1^10*g42n[t]) + 286*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22[t]^2* (297*(-60183 + 4147215*lu1 - 48405314*lu1^2 - 527565578*lu1^3 + 6534364805*lu1^4 + 19128873699*lu1^5 - 17660679660*lu1^6 + 82279079832*lu1^7 - 507191117296*lu1^8 - 192104012560*lu1^9 + 127132936000*lu1^10)*f22n[t] + 20*Sqrt[3]* (224505 - 43915050*lu1 + 1108393431*lu1^2 - 967546830*lu1^3 - 37064901061*lu1^4 - 582402815550*lu1^5 - 2385659999175*lu1^6 + 2696237620542*lu1^7 + 6409635247980*lu1^8 + 4518902606088*lu1^9 + 712599630400*lu1^10)*f42n[t] + (-3 + 13*lu1 + 38*lu1^2)* (11*(440487 - 1730568*lu1 - 183888450*lu1^2 + 392862064*lu1^3 + 18618115699*lu1^4 + 4745507152*lu1^5 - 203869456064*lu1^6 - 72996666080*lu1^7 + 41605507600*lu1^8)*g22n[t] - 10*Sqrt[3]*(143802 + 5687325*lu1 - 54103656*lu1^2 + 162616174*lu1^3 - 2257574*lu1^4 - 9307414631*lu1^5 + 3879843916*lu1^6 + 6402601444*lu1^7 + 839027200*lu1^8)* g42n[t])) - 15816118644*Sqrt[70]*f22n[t]*f40[t]*g44[t] - 537128066700*Sqrt[70]*lu1*f22n[t]*f40[t]*g44[t] + 24975945563544*Sqrt[70]*lu1^2*f22n[t]*f40[t]*g44[t] + 488551895102196*Sqrt[70]*lu1^3*f22n[t]*f40[t]*g44[t] - 4849704993410832*Sqrt[70]*lu1^4*f22n[t]*f40[t]*g44[t] - 20755274642580372*Sqrt[70]*lu1^5*f22n[t]*f40[t]*g44[t] + 93927359975090520*Sqrt[70]*lu1^6*f22n[t]*f40[t]*g44[t] + 481907827191184188*Sqrt[70]*lu1^7*f22n[t]*f40[t]*g44[t] + 367906773007931652*Sqrt[70]*lu1^8*f22n[t]*f40[t]*g44[t] - 1514960576169573744*Sqrt[70]*lu1^9*f22n[t]*f40[t]*g44[t] - 6361630853193900528*Sqrt[70]*lu1^10*f22n[t]*f40[t]*g44[t] - 10567178943534677280*Sqrt[70]*lu1^11*f22n[t]*f40[t]*g44[t] - 4196229440655907200*Sqrt[70]*lu1^12*f22n[t]*f40[t]*g44[t] + 2559442617539472000*Sqrt[70]*lu1^13*f22n[t]*f40[t]*g44[t] + 43538314860*Sqrt[210]*f40[t]*f42n[t]*g44[t] + 1854000225108*Sqrt[210]* lu1*f40[t]*f42n[t]*g44[t] - 63339872857704*Sqrt[210]*lu1^2*f40[t]* f42n[t]*g44[t] - 1109066487968556*Sqrt[210]*lu1^3*f40[t]*f42n[t]* g44[t] + 4180292982293616*Sqrt[210]*lu1^4*f40[t]*f42n[t]*g44[t] + 49618154572021116*Sqrt[210]*lu1^5*f40[t]*f42n[t]*g44[t] + 247791678600585096*Sqrt[210]*lu1^6*f40[t]*f42n[t]*g44[t] - 500391469759859748*Sqrt[210]*lu1^7*f40[t]*f42n[t]*g44[t] - 8095796087252236092*Sqrt[210]*lu1^8*f40[t]*f42n[t]*g44[t] - 21058528203911288448*Sqrt[210]*lu1^9*f40[t]*f42n[t]*g44[t] - 10683777995025614208*Sqrt[210]*lu1^10*f40[t]*f42n[t]*g44[t] + 22888996586640334080*Sqrt[210]*lu1^11*f40[t]*f42n[t]*g44[t] + 23396539628929060800*Sqrt[210]*lu1^12*f40[t]*f42n[t]*g44[t] + 1817023488624288000*Sqrt[210]*lu1^13*f40[t]*f42n[t]*g44[t] + 80872480080*f22n[t]*f44[t]*g44[t] + 18188018886240*lu1*f22n[t]*f44[t]* g44[t] - 497465050967640*lu1^2*f22n[t]*f44[t]*g44[t] - 8612390463531120*lu1^3*f22n[t]*f44[t]*g44[t] + 84753826132421880*lu1^4*f22n[t]*f44[t]*g44[t] + 1631592577985287680*lu1^5*f22n[t]*f44[t]*g44[t] + 2553851750388784440*lu1^6*f22n[t]*f44[t]*g44[t] - 67502120967987402480*lu1^7*f22n[t]*f44[t]*g44[t] - 175276093308383861640*lu1^8*f22n[t]*f44[t]*g44[t] + 244165323546442992960*lu1^9*f22n[t]*f44[t]*g44[t] + 909422323621397036640*lu1^10*f22n[t]*f44[t]*g44[t] + 245680497349077712320*lu1^11*f22n[t]*f44[t]*g44[t] - 698546682601141920000*lu1^12*f22n[t]*f44[t]*g44[t] - 339455459429992416000*lu1^13*f22n[t]*f44[t]*g44[t] - 847828273320*Sqrt[3]*f42n[t]*f44[t]*g44[t] - 30351695046120*Sqrt[3]* lu1*f42n[t]*f44[t]*g44[t] + 1389887601167520*Sqrt[3]*lu1^2*f42n[t]* f44[t]*g44[t] + 22810200063147000*Sqrt[3]*lu1^3*f42n[t]*f44[t]* g44[t] - 191950204110740880*Sqrt[3]*lu1^4*f42n[t]*f44[t]*g44[t] - 3466449241071820920*Sqrt[3]*lu1^5*f42n[t]*f44[t]*g44[t] - 7340629189361230560*Sqrt[3]*lu1^6*f42n[t]*f44[t]*g44[t] + 114762154763855105640*Sqrt[3]*lu1^7*f42n[t]*f44[t]*g44[t] + 439730811957877687800*Sqrt[3]*lu1^8*f42n[t]*f44[t]*g44[t] + 206754408423781424640*Sqrt[3]*lu1^9*f42n[t]*f44[t]*g44[t] - 796145498055968309760*Sqrt[3]*lu1^10*f42n[t]*f44[t]*g44[t] - 775713319671736535040*Sqrt[3]*lu1^11*f42n[t]*f44[t]*g44[t] + 62924268054884073600*Sqrt[3]*lu1^12*f42n[t]*f44[t]*g44[t] + 107213558381496000000*Sqrt[3]*lu1^13*f42n[t]*f44[t]*g44[t] - 147290610600*Sqrt[3]*f42[t]*f44n[t]*g44[t] - 3689754427800*Sqrt[3]* lu1*f42[t]*f44n[t]*g44[t] + 298123735608720*Sqrt[3]*lu1^2*f42[t]* f44n[t]*g44[t] + 7659818895372840*Sqrt[3]*lu1^3*f42[t]*f44n[t]* g44[t] - 39385946801389440*Sqrt[3]*lu1^4*f42[t]*f44n[t]*g44[t] - 1515185718982495560*Sqrt[3]*lu1^5*f42[t]*f44n[t]*g44[t] - 3515035313390490960*Sqrt[3]*lu1^6*f42[t]*f44n[t]*g44[t] + 63805531986527680440*Sqrt[3]*lu1^7*f42[t]*f44n[t]*g44[t] + 154816322699832895080*Sqrt[3]*lu1^8*f42[t]*f44n[t]*g44[t] - 282908715604131214080*Sqrt[3]*lu1^9*f42[t]*f44n[t]*g44[t] - 822739882265174065920*Sqrt[3]*lu1^10*f42[t]*f44n[t]*g44[t] - 56313287678636190720*Sqrt[3]*lu1^11*f42[t]*f44n[t]*g44[t] + 562404053980521916800*Sqrt[3]*lu1^12*f42[t]*f44n[t]*g44[t] + 75828158151520320000*Sqrt[3]*lu1^13*f42[t]*f44n[t]*g44[t] - 656756100*Sqrt[14]*f22n[t]*g20[t]*g44[t] - 18047240640*Sqrt[14]*lu1* f22n[t]*g20[t]*g44[t] + 1227954138840*Sqrt[14]*lu1^2*f22n[t]*g20[t]* g44[t] + 14118871286520*Sqrt[14]*lu1^3*f22n[t]*g20[t]*g44[t] - 398033642480760*Sqrt[14]*lu1^4*f22n[t]*g20[t]*g44[t] + 348899630096160*Sqrt[14]*lu1^5*f22n[t]*g20[t]*g44[t] + 16608812145073720*Sqrt[14]*lu1^6*f22n[t]*g20[t]*g44[t] - 123488707314378120*Sqrt[14]*lu1^7*f22n[t]*g20[t]*g44[t] - 192762664714937460*Sqrt[14]*lu1^8*f22n[t]*g20[t]*g44[t] + 2385205226940959280*Sqrt[14]*lu1^9*f22n[t]*g20[t]*g44[t] + 8761919818658841120*Sqrt[14]*lu1^10*f22n[t]*g20[t]*g44[t] + 11987155017377654400*Sqrt[14]*lu1^11*f22n[t]*g20[t]*g44[t] + 6566640797380664000*Sqrt[14]*lu1^12*f22n[t]*g20[t]*g44[t] + 672550532253600000*Sqrt[14]*lu1^13*f22n[t]*g20[t]*g44[t] + 841544235*Sqrt[42]*f42n[t]*g20[t]*g44[t] + 72398690190*Sqrt[42]*lu1* f42n[t]*g20[t]*g44[t] - 2158374511035*Sqrt[42]*lu1^2*f42n[t]*g20[t]* g44[t] - 58689074685780*Sqrt[42]*lu1^3*f42n[t]*g20[t]*g44[t] + 595135302095925*Sqrt[42]*lu1^4*f42n[t]*g20[t]*g44[t] + 3570425479398150*Sqrt[42]*lu1^5*f42n[t]*g20[t]*g44[t] - 13309323172721925*Sqrt[42]*lu1^6*f42n[t]*g20[t]*g44[t] + 55612771521766680*Sqrt[42]*lu1^7*f42n[t]*g20[t]*g44[t] - 190840155038373360*Sqrt[42]*lu1^8*f42n[t]*g20[t]*g44[t] - 3557645527031979000*Sqrt[42]*lu1^9*f42n[t]*g20[t]*g44[t] - 8276984697688658640*Sqrt[42]*lu1^10*f42n[t]*g20[t]*g44[t] - 4872339873061008960*Sqrt[42]*lu1^11*f42n[t]*g20[t]*g44[t] + 1128834705463516800*Sqrt[42]*lu1^12*f42n[t]*g20[t]*g44[t] + 529852011766224000*Sqrt[42]*lu1^13*f42n[t]*g20[t]*g44[t] + 12099570210*f44n[t]*g22[t]*g44[t] - 559481514228*lu1*f44n[t]*g22[t]* g44[t] + 4760828000838*lu1^2*f44n[t]*g22[t]*g44[t] - 54296157451536*lu1^3*f44n[t]*g22[t]*g44[t] + 1257196008700086*lu1^4* f44n[t]*g22[t]*g44[t] - 3590775879937428*lu1^5*f44n[t]*g22[t]* g44[t] - 115172876320365318*lu1^6*f44n[t]*g22[t]*g44[t] + 3172721112064858536*lu1^7*f44n[t]*g22[t]*g44[t] + 4971592157922623688*lu1^8*f44n[t]*g22[t]*g44[t] - 77048524449562590288*lu1^9*f44n[t]*g22[t]*g44[t] - 295164086916308072736*lu1^10*f44n[t]*g22[t]*g44[t] - 377995389777479545344*lu1^11*f44n[t]*g22[t]*g44[t] - 162356764242720028800*lu1^12*f44n[t]*g22[t]*g44[t] + 1657059378037190400*lu1^13*f44n[t]*g22[t]*g44[t] + 693186903*Sqrt[70]*f40[t]*g22n[t]*g44[t] + 59542159590*Sqrt[70]*lu1* f40[t]*g22n[t]*g44[t] - 1711753323723*Sqrt[70]*lu1^2*f40[t]*g22n[t]* g44[t] - 49523539410972*Sqrt[70]*lu1^3*f40[t]*g22n[t]*g44[t] + 453985836503709*Sqrt[70]*lu1^4*f40[t]*g22n[t]*g44[t] + 3277916376599694*Sqrt[70]*lu1^5*f40[t]*g22n[t]*g44[t] - 12990185942899125*Sqrt[70]*lu1^6*f40[t]*g22n[t]*g44[t] - 83074710673346496*Sqrt[70]*lu1^7*f40[t]*g22n[t]*g44[t] - 64284358410404964*Sqrt[70]*lu1^8*f40[t]*g22n[t]*g44[t] + 525981171490611528*Sqrt[70]*lu1^9*f40[t]*g22n[t]*g44[t] + 1897832264374100496*Sqrt[70]*lu1^10*f40[t]*g22n[t]*g44[t] + 1940150842591375680*Sqrt[70]*lu1^11*f40[t]*g22n[t]*g44[t] - 848006502929803200*Sqrt[70]*lu1^12*f40[t]*g22n[t]*g44[t] - 1652456408480304000*Sqrt[70]*lu1^13*f40[t]*g22n[t]*g44[t] + 10103837940*f44[t]*g22n[t]*g44[t] - 1161093505320*lu1*f44[t]*g22n[t]* g44[t] + 20113937606700*lu1^2*f44[t]*g22n[t]*g44[t] + 390584682069120*lu1^3*f44[t]*g22n[t]*g44[t] - 5605549075032900*lu1^4* f44[t]*g22n[t]*g44[t] - 26997017048355480*lu1^5*f44[t]*g22n[t]* g44[t] + 193654091961021300*lu1^6*f44[t]*g22n[t]*g44[t] - 1447378429837158000*lu1^7*f44[t]*g22n[t]*g44[t] - 1461163607828630160*lu1^8*f44[t]*g22n[t]*g44[t] + 54509007090080718000*lu1^9*f44[t]*g22n[t]*g44[t] + 182265795086730962880*lu1^10*f44[t]*g22n[t]*g44[t] + 188047141939599626880*lu1^11*f44[t]*g22n[t]*g44[t] + 31445491969630905600*lu1^12*f44[t]*g22n[t]*g44[t] - 28965360259127712000*lu1^13*f44[t]*g22n[t]*g44[t] + 353939706*Sqrt[70]*f22n[t]*g40[t]*g44[t] + 2297093580*Sqrt[70]*lu1* f22n[t]*g40[t]*g44[t] - 513459656586*Sqrt[70]*lu1^2*f22n[t]*g40[t]* g44[t] - 889368536664*Sqrt[70]*lu1^3*f22n[t]*g40[t]*g44[t] + 128346664642398*Sqrt[70]*lu1^4*f22n[t]*g40[t]*g44[t] - 392973462891012*Sqrt[70]*lu1^5*f22n[t]*g40[t]*g44[t] - 6377177803123110*Sqrt[70]*lu1^6*f22n[t]*g40[t]*g44[t] + 15593041070070528*Sqrt[70]*lu1^7*f22n[t]*g40[t]*g44[t] + 145017378460869432*Sqrt[70]*lu1^8*f22n[t]*g40[t]*g44[t] - 38339690762871984*Sqrt[70]*lu1^9*f22n[t]*g40[t]*g44[t] - 1427747241858885408*Sqrt[70]*lu1^10*f22n[t]*g40[t]*g44[t] - 2879105153028831360*Sqrt[70]*lu1^11*f22n[t]*g40[t]*g44[t] - 2057722441719523200*Sqrt[70]*lu1^12*f22n[t]*g40[t]*g44[t] - 415077093144672000*Sqrt[70]*lu1^13*f22n[t]*g40[t]*g44[t] - 42143490*Sqrt[210]*f42n[t]*g40[t]*g44[t] - 27895856652*Sqrt[210]*lu1* f42n[t]*g40[t]*g44[t] + 384310645146*Sqrt[210]*lu1^2*f42n[t]*g40[t]* g44[t] + 3464193308544*Sqrt[210]*lu1^3*f42n[t]*g40[t]*g44[t] - 29247987365334*Sqrt[210]*lu1^4*f42n[t]*g40[t]*g44[t] + 1134094424420676*Sqrt[210]*lu1^5*f42n[t]*g40[t]*g44[t] + 968223486517926*Sqrt[210]*lu1^6*f42n[t]*g40[t]*g44[t] - 79688058331266648*Sqrt[210]*lu1^7*f42n[t]*g40[t]*g44[t] - 153826253510238792*Sqrt[210]*lu1^8*f42n[t]*g40[t]*g44[t] + 1196905474547763552*Sqrt[210]*lu1^9*f42n[t]*g40[t]*g44[t] + 4767707309275367712*Sqrt[210]*lu1^10*f42n[t]*g40[t]*g44[t] + 5515586417456695680*Sqrt[210]*lu1^11*f42n[t]*g40[t]*g44[t] + 964486626919478400*Sqrt[210]*lu1^12*f42n[t]*g40[t]*g44[t] - 1148622799141440000*Sqrt[210]*lu1^13*f42n[t]*g40[t]*g44[t] - 1385005230*Sqrt[3]*f44n[t]*g42[t]*g44[t] + 827720548200*Sqrt[3]*lu1* f44n[t]*g42[t]*g44[t] - 6786297006930*Sqrt[3]*lu1^2*f44n[t]*g42[t]* g44[t] - 120845803572900*Sqrt[3]*lu1^3*f44n[t]*g42[t]*g44[t] - 768202919428770*Sqrt[3]*lu1^4*f44n[t]*g42[t]*g44[t] + 14152193303695440*Sqrt[3]*lu1^5*f44n[t]*g42[t]*g44[t] + 172046131751968530*Sqrt[3]*lu1^6*f44n[t]*g42[t]*g44[t] - 1060408737032791860*Sqrt[3]*lu1^7*f44n[t]*g42[t]*g44[t] - 5148197100689806800*Sqrt[3]*lu1^8*f44n[t]*g42[t]*g44[t] + 11241755181808572960*Sqrt[3]*lu1^9*f44n[t]*g42[t]*g44[t] + 71773501080006583200*Sqrt[3]*lu1^10*f44n[t]*g42[t]*g44[t] + 92914049811491751360*Sqrt[3]*lu1^11*f44n[t]*g42[t]*g44[t] + 17030887237260825600*Sqrt[3]*lu1^12*f44n[t]*g42[t]*g44[t] - 22038577531286400000*Sqrt[3]*lu1^13*f44n[t]*g42[t]*g44[t] + 63066519*Sqrt[210]*f40[t]*g42n[t]*g44[t] - 72731253024*Sqrt[210]*lu1* f40[t]*g42n[t]*g44[t] + 678679458993*Sqrt[210]*lu1^2*f40[t]*g42n[t]* g44[t] + 5154924429702*Sqrt[210]*lu1^3*f40[t]*g42n[t]*g44[t] + 65626527995289*Sqrt[210]*lu1^4*f40[t]*g42n[t]*g44[t] + 934879573856724*Sqrt[210]*lu1^5*f40[t]*g42n[t]*g44[t] - 11931858595110033*Sqrt[210]*lu1^6*f40[t]*g42n[t]*g44[t] - 44772148809567594*Sqrt[210]*lu1^7*f40[t]*g42n[t]*g44[t] + 170205433908449184*Sqrt[210]*lu1^8*f40[t]*g42n[t]*g44[t] + 954298844567476848*Sqrt[210]*lu1^9*f40[t]*g42n[t]*g44[t] + 1275413950319141232*Sqrt[210]*lu1^10*f40[t]*g42n[t]*g44[t] + 21801331962121440*Sqrt[210]*lu1^11*f40[t]*g42n[t]*g44[t] - 724342753983772800*Sqrt[210]*lu1^12*f40[t]*g42n[t]*g44[t] - 25965909438336000*Sqrt[210]*lu1^13*f40[t]*g42n[t]*g44[t] + 99967770*Sqrt[3]*f44[t]*g42n[t]*g44[t] + 1027053389880*Sqrt[3]*lu1* f44[t]*g42n[t]*g44[t] - 11784293301690*Sqrt[3]*lu1^2*f44[t]*g42n[t]* g44[t] - 181781014608900*Sqrt[3]*lu1^3*f44[t]*g42n[t]*g44[t] + 477763503941430*Sqrt[3]*lu1^4*f44[t]*g42n[t]*g44[t] - 5668564903139040*Sqrt[3]*lu1^5*f44[t]*g42n[t]*g44[t] + 63732268992656250*Sqrt[3]*lu1^6*f44[t]*g42n[t]*g44[t] + 507095399950142220*Sqrt[3]*lu1^7*f44[t]*g42n[t]*g44[t] - 264485036933334000*Sqrt[3]*lu1^8*f44[t]*g42n[t]*g44[t] - 10421679237378726240*Sqrt[3]*lu1^9*f44[t]*g42n[t]*g44[t] - 33247256088178510560*Sqrt[3]*lu1^10*f44[t]*g42n[t]*g44[t] - 40065075765641478720*Sqrt[3]*lu1^11*f44[t]*g42n[t]*g44[t] - 12496024912075891200*Sqrt[3]*lu1^12*f44[t]*g42n[t]*g44[t] + 5130747047180160000*Sqrt[3]*lu1^13*f44[t]*g42n[t]*g44[t] + 8283852990*f22n[t]*g44[t]^2 - 729159743340*lu1*f22n[t]*g44[t]^2 + 6763777037010*lu1^2*f22n[t]*g44[t]^2 + 105926840563320*lu1^3*f22n[t]* g44[t]^2 - 538768995726150*lu1^4*f22n[t]*g44[t]^2 - 3549854118145020*lu1^5*f22n[t]*g44[t]^2 - 25154064831482370*lu1^6* f22n[t]*g44[t]^2 + 216935192911069920*lu1^7*f22n[t]*g44[t]^2 + 679160798037297240*lu1^8*f22n[t]*g44[t]^2 - 2031869077220161200*lu1^9* f22n[t]*g44[t]^2 - 7349616036952946400*lu1^10*f22n[t]*g44[t]^2 - 3649356702114506880*lu1^11*f22n[t]*g44[t]^2 + 5219939864233449600* lu1^12*f22n[t]*g44[t]^2 + 3921206927979936000*lu1^13*f22n[t]* g44[t]^2 - 642518730*Sqrt[3]*f42n[t]*g44[t]^2 + 927386969040*Sqrt[3]*lu1*f42n[t]*g44[t]^2 - 9285295154310*Sqrt[3]* lu1^2*f42n[t]*g44[t]^2 - 151313409090900*Sqrt[3]*lu1^3*f42n[t]* g44[t]^2 - 145219707743670*Sqrt[3]*lu1^4*f42n[t]*g44[t]^2 + 4241814200278200*Sqrt[3]*lu1^5*f42n[t]*g44[t]^2 + 117889200372312390*Sqrt[3]*lu1^6*f42n[t]*g44[t]^2 - 276656668541324820*Sqrt[3]*lu1^7*f42n[t]*g44[t]^2 - 2706341068811570400*Sqrt[3]*lu1^8*f42n[t]*g44[t]^2 + 410037972214923360*Sqrt[3]*lu1^9*f42n[t]*g44[t]^2 + 19263122495914036320*Sqrt[3]*lu1^10*f42n[t]*g44[t]^2 + 26424487022925136320*Sqrt[3]*lu1^11*f42n[t]*g44[t]^2 + 2267431162592467200*Sqrt[3]*lu1^12*f42n[t]*g44[t]^2 - 8453915242053120000*Sqrt[3]*lu1^13*f42n[t]*g44[t]^2 - 43538314860*Sqrt[210]*f40[t]*f42[t]*g44n[t] - 1854000225108*Sqrt[210]* lu1*f40[t]*f42[t]*g44n[t] + 63339872857704*Sqrt[210]*lu1^2*f40[t]* f42[t]*g44n[t] + 1109066487968556*Sqrt[210]*lu1^3*f40[t]*f42[t]* g44n[t] - 4180292982293616*Sqrt[210]*lu1^4*f40[t]*f42[t]*g44n[t] - 49618154572021116*Sqrt[210]*lu1^5*f40[t]*f42[t]*g44n[t] - 247791678600585096*Sqrt[210]*lu1^6*f40[t]*f42[t]*g44n[t] + 500391469759859748*Sqrt[210]*lu1^7*f40[t]*f42[t]*g44n[t] + 8095796087252236092*Sqrt[210]*lu1^8*f40[t]*f42[t]*g44n[t] + 21058528203911288448*Sqrt[210]*lu1^9*f40[t]*f42[t]*g44n[t] + 10683777995025614208*Sqrt[210]*lu1^10*f40[t]*f42[t]*g44n[t] - 22888996586640334080*Sqrt[210]*lu1^11*f40[t]*f42[t]*g44n[t] - 23396539628929060800*Sqrt[210]*lu1^12*f40[t]*f42[t]*g44n[t] - 1817023488624288000*Sqrt[210]*lu1^13*f40[t]*f42[t]*g44n[t] + 147290610600*Sqrt[3]*f42[t]*f44[t]*g44n[t] + 3689754427800*Sqrt[3]* lu1*f42[t]*f44[t]*g44n[t] - 298123735608720*Sqrt[3]*lu1^2*f42[t]* f44[t]*g44n[t] - 7659818895372840*Sqrt[3]*lu1^3*f42[t]*f44[t]* g44n[t] + 39385946801389440*Sqrt[3]*lu1^4*f42[t]*f44[t]*g44n[t] + 1515185718982495560*Sqrt[3]*lu1^5*f42[t]*f44[t]*g44n[t] + 3515035313390490960*Sqrt[3]*lu1^6*f42[t]*f44[t]*g44n[t] - 63805531986527680440*Sqrt[3]*lu1^7*f42[t]*f44[t]*g44n[t] - 154816322699832895080*Sqrt[3]*lu1^8*f42[t]*f44[t]*g44n[t] + 282908715604131214080*Sqrt[3]*lu1^9*f42[t]*f44[t]*g44n[t] + 822739882265174065920*Sqrt[3]*lu1^10*f42[t]*f44[t]*g44n[t] + 56313287678636190720*Sqrt[3]*lu1^11*f42[t]*f44[t]*g44n[t] - 562404053980521916800*Sqrt[3]*lu1^12*f42[t]*f44[t]*g44n[t] - 75828158151520320000*Sqrt[3]*lu1^13*f42[t]*f44[t]*g44n[t] + 80872480080*f22n[t]*f44n[t]*g44n[t] + 18188018886240*lu1*f22n[t]* f44n[t]*g44n[t] - 497465050967640*lu1^2*f22n[t]*f44n[t]*g44n[t] - 8612390463531120*lu1^3*f22n[t]*f44n[t]*g44n[t] + 84753826132421880*lu1^4*f22n[t]*f44n[t]*g44n[t] + 1631592577985287680*lu1^5*f22n[t]*f44n[t]*g44n[t] + 2553851750388784440*lu1^6*f22n[t]*f44n[t]*g44n[t] - 67502120967987402480*lu1^7*f22n[t]*f44n[t]*g44n[t] - 175276093308383861640*lu1^8*f22n[t]*f44n[t]*g44n[t] + 244165323546442992960*lu1^9*f22n[t]*f44n[t]*g44n[t] + 909422323621397036640*lu1^10*f22n[t]*f44n[t]*g44n[t] + 245680497349077712320*lu1^11*f22n[t]*f44n[t]*g44n[t] - 698546682601141920000*lu1^12*f22n[t]*f44n[t]*g44n[t] - 339455459429992416000*lu1^13*f22n[t]*f44n[t]*g44n[t] - 847828273320*Sqrt[3]*f42n[t]*f44n[t]*g44n[t] - 30351695046120*Sqrt[3]* lu1*f42n[t]*f44n[t]*g44n[t] + 1389887601167520*Sqrt[3]*lu1^2*f42n[t]* f44n[t]*g44n[t] + 22810200063147000*Sqrt[3]*lu1^3*f42n[t]*f44n[t]* g44n[t] - 191950204110740880*Sqrt[3]*lu1^4*f42n[t]*f44n[t]*g44n[t] - 3466449241071820920*Sqrt[3]*lu1^5*f42n[t]*f44n[t]*g44n[t] - 7340629189361230560*Sqrt[3]*lu1^6*f42n[t]*f44n[t]*g44n[t] + 114762154763855105640*Sqrt[3]*lu1^7*f42n[t]*f44n[t]*g44n[t] + 439730811957877687800*Sqrt[3]*lu1^8*f42n[t]*f44n[t]*g44n[t] + 206754408423781424640*Sqrt[3]*lu1^9*f42n[t]*f44n[t]*g44n[t] - 796145498055968309760*Sqrt[3]*lu1^10*f42n[t]*f44n[t]*g44n[t] - 775713319671736535040*Sqrt[3]*lu1^11*f42n[t]*f44n[t]*g44n[t] + 62924268054884073600*Sqrt[3]*lu1^12*f42n[t]*f44n[t]*g44n[t] + 107213558381496000000*Sqrt[3]*lu1^13*f42n[t]*f44n[t]*g44n[t] - 841544235*Sqrt[42]*f42[t]*g20[t]*g44n[t] - 72398690190*Sqrt[42]*lu1* f42[t]*g20[t]*g44n[t] + 2158374511035*Sqrt[42]*lu1^2*f42[t]*g20[t]* g44n[t] + 58689074685780*Sqrt[42]*lu1^3*f42[t]*g20[t]*g44n[t] - 595135302095925*Sqrt[42]*lu1^4*f42[t]*g20[t]*g44n[t] - 3570425479398150*Sqrt[42]*lu1^5*f42[t]*g20[t]*g44n[t] + 13309323172721925*Sqrt[42]*lu1^6*f42[t]*g20[t]*g44n[t] - 55612771521766680*Sqrt[42]*lu1^7*f42[t]*g20[t]*g44n[t] + 190840155038373360*Sqrt[42]*lu1^8*f42[t]*g20[t]*g44n[t] + 3557645527031979000*Sqrt[42]*lu1^9*f42[t]*g20[t]*g44n[t] + 8276984697688658640*Sqrt[42]*lu1^10*f42[t]*g20[t]*g44n[t] + 4872339873061008960*Sqrt[42]*lu1^11*f42[t]*g20[t]*g44n[t] - 1128834705463516800*Sqrt[42]*lu1^12*f42[t]*g20[t]*g44n[t] - 529852011766224000*Sqrt[42]*lu1^13*f42[t]*g20[t]*g44n[t] - 693186903*Sqrt[70]*f40[t]*g22[t]*g44n[t] - 59542159590*Sqrt[70]*lu1* f40[t]*g22[t]*g44n[t] + 1711753323723*Sqrt[70]*lu1^2*f40[t]*g22[t]* g44n[t] + 49523539410972*Sqrt[70]*lu1^3*f40[t]*g22[t]*g44n[t] - 453985836503709*Sqrt[70]*lu1^4*f40[t]*g22[t]*g44n[t] - 3277916376599694*Sqrt[70]*lu1^5*f40[t]*g22[t]*g44n[t] + 12990185942899125*Sqrt[70]*lu1^6*f40[t]*g22[t]*g44n[t] + 83074710673346496*Sqrt[70]*lu1^7*f40[t]*g22[t]*g44n[t] + 64284358410404964*Sqrt[70]*lu1^8*f40[t]*g22[t]*g44n[t] - 525981171490611528*Sqrt[70]*lu1^9*f40[t]*g22[t]*g44n[t] - 1897832264374100496*Sqrt[70]*lu1^10*f40[t]*g22[t]*g44n[t] - 1940150842591375680*Sqrt[70]*lu1^11*f40[t]*g22[t]*g44n[t] + 848006502929803200*Sqrt[70]*lu1^12*f40[t]*g22[t]*g44n[t] + 1652456408480304000*Sqrt[70]*lu1^13*f40[t]*g22[t]*g44n[t] - 12099570210*f44[t]*g22[t]*g44n[t] + 559481514228*lu1*f44[t]*g22[t]* g44n[t] - 4760828000838*lu1^2*f44[t]*g22[t]*g44n[t] + 54296157451536*lu1^3*f44[t]*g22[t]*g44n[t] - 1257196008700086*lu1^4* f44[t]*g22[t]*g44n[t] + 3590775879937428*lu1^5*f44[t]*g22[t]* g44n[t] + 115172876320365318*lu1^6*f44[t]*g22[t]*g44n[t] - 3172721112064858536*lu1^7*f44[t]*g22[t]*g44n[t] - 4971592157922623688*lu1^8*f44[t]*g22[t]*g44n[t] + 77048524449562590288*lu1^9*f44[t]*g22[t]*g44n[t] + 295164086916308072736*lu1^10*f44[t]*g22[t]*g44n[t] + 377995389777479545344*lu1^11*f44[t]*g22[t]*g44n[t] + 162356764242720028800*lu1^12*f44[t]*g22[t]*g44n[t] - 1657059378037190400*lu1^13*f44[t]*g22[t]*g44n[t] + 10103837940*f44n[t]*g22n[t]*g44n[t] - 1161093505320*lu1*f44n[t]* g22n[t]*g44n[t] + 20113937606700*lu1^2*f44n[t]*g22n[t]*g44n[t] + 390584682069120*lu1^3*f44n[t]*g22n[t]*g44n[t] - 5605549075032900*lu1^4*f44n[t]*g22n[t]*g44n[t] - 26997017048355480*lu1^5*f44n[t]*g22n[t]*g44n[t] + 193654091961021300*lu1^6*f44n[t]*g22n[t]*g44n[t] - 1447378429837158000*lu1^7*f44n[t]*g22n[t]*g44n[t] - 1461163607828630160*lu1^8*f44n[t]*g22n[t]*g44n[t] + 54509007090080718000*lu1^9*f44n[t]*g22n[t]*g44n[t] + 182265795086730962880*lu1^10*f44n[t]*g22n[t]*g44n[t] + 188047141939599626880*lu1^11*f44n[t]*g22n[t]*g44n[t] + 31445491969630905600*lu1^12*f44n[t]*g22n[t]*g44n[t] - 28965360259127712000*lu1^13*f44n[t]*g22n[t]*g44n[t] + 42143490*Sqrt[210]*f42[t]*g40[t]*g44n[t] + 27895856652*Sqrt[210]*lu1* f42[t]*g40[t]*g44n[t] - 384310645146*Sqrt[210]*lu1^2*f42[t]*g40[t]* g44n[t] - 3464193308544*Sqrt[210]*lu1^3*f42[t]*g40[t]*g44n[t] + 29247987365334*Sqrt[210]*lu1^4*f42[t]*g40[t]*g44n[t] - 1134094424420676*Sqrt[210]*lu1^5*f42[t]*g40[t]*g44n[t] - 968223486517926*Sqrt[210]*lu1^6*f42[t]*g40[t]*g44n[t] + 79688058331266648*Sqrt[210]*lu1^7*f42[t]*g40[t]*g44n[t] + 153826253510238792*Sqrt[210]*lu1^8*f42[t]*g40[t]*g44n[t] - 1196905474547763552*Sqrt[210]*lu1^9*f42[t]*g40[t]*g44n[t] - 4767707309275367712*Sqrt[210]*lu1^10*f42[t]*g40[t]*g44n[t] - 5515586417456695680*Sqrt[210]*lu1^11*f42[t]*g40[t]*g44n[t] - 964486626919478400*Sqrt[210]*lu1^12*f42[t]*g40[t]*g44n[t] + 1148622799141440000*Sqrt[210]*lu1^13*f42[t]*g40[t]*g44n[t] - 63066519*Sqrt[210]*f40[t]*g42[t]*g44n[t] + 72731253024*Sqrt[210]*lu1* f40[t]*g42[t]*g44n[t] - 678679458993*Sqrt[210]*lu1^2*f40[t]*g42[t]* g44n[t] - 5154924429702*Sqrt[210]*lu1^3*f40[t]*g42[t]*g44n[t] - 65626527995289*Sqrt[210]*lu1^4*f40[t]*g42[t]*g44n[t] - 934879573856724*Sqrt[210]*lu1^5*f40[t]*g42[t]*g44n[t] + 11931858595110033*Sqrt[210]*lu1^6*f40[t]*g42[t]*g44n[t] + 44772148809567594*Sqrt[210]*lu1^7*f40[t]*g42[t]*g44n[t] - 170205433908449184*Sqrt[210]*lu1^8*f40[t]*g42[t]*g44n[t] - 954298844567476848*Sqrt[210]*lu1^9*f40[t]*g42[t]*g44n[t] - 1275413950319141232*Sqrt[210]*lu1^10*f40[t]*g42[t]*g44n[t] - 21801331962121440*Sqrt[210]*lu1^11*f40[t]*g42[t]*g44n[t] + 724342753983772800*Sqrt[210]*lu1^12*f40[t]*g42[t]*g44n[t] + 25965909438336000*Sqrt[210]*lu1^13*f40[t]*g42[t]*g44n[t] + 1385005230*Sqrt[3]*f44[t]*g42[t]*g44n[t] - 827720548200*Sqrt[3]*lu1* f44[t]*g42[t]*g44n[t] + 6786297006930*Sqrt[3]*lu1^2*f44[t]*g42[t]* g44n[t] + 120845803572900*Sqrt[3]*lu1^3*f44[t]*g42[t]*g44n[t] + 768202919428770*Sqrt[3]*lu1^4*f44[t]*g42[t]*g44n[t] - 14152193303695440*Sqrt[3]*lu1^5*f44[t]*g42[t]*g44n[t] - 172046131751968530*Sqrt[3]*lu1^6*f44[t]*g42[t]*g44n[t] + 1060408737032791860*Sqrt[3]*lu1^7*f44[t]*g42[t]*g44n[t] + 5148197100689806800*Sqrt[3]*lu1^8*f44[t]*g42[t]*g44n[t] - 11241755181808572960*Sqrt[3]*lu1^9*f44[t]*g42[t]*g44n[t] - 71773501080006583200*Sqrt[3]*lu1^10*f44[t]*g42[t]*g44n[t] - 92914049811491751360*Sqrt[3]*lu1^11*f44[t]*g42[t]*g44n[t] - 17030887237260825600*Sqrt[3]*lu1^12*f44[t]*g42[t]*g44n[t] + 22038577531286400000*Sqrt[3]*lu1^13*f44[t]*g42[t]*g44n[t] + 99967770*Sqrt[3]*f44n[t]*g42n[t]*g44n[t] + 1027053389880*Sqrt[3]*lu1* f44n[t]*g42n[t]*g44n[t] - 11784293301690*Sqrt[3]*lu1^2*f44n[t]* g42n[t]*g44n[t] - 181781014608900*Sqrt[3]*lu1^3*f44n[t]*g42n[t]* g44n[t] + 477763503941430*Sqrt[3]*lu1^4*f44n[t]*g42n[t]*g44n[t] - 5668564903139040*Sqrt[3]*lu1^5*f44n[t]*g42n[t]*g44n[t] + 63732268992656250*Sqrt[3]*lu1^6*f44n[t]*g42n[t]*g44n[t] + 507095399950142220*Sqrt[3]*lu1^7*f44n[t]*g42n[t]*g44n[t] - 264485036933334000*Sqrt[3]*lu1^8*f44n[t]*g42n[t]*g44n[t] - 10421679237378726240*Sqrt[3]*lu1^9*f44n[t]*g42n[t]*g44n[t] - 33247256088178510560*Sqrt[3]*lu1^10*f44n[t]*g42n[t]*g44n[t] - 40065075765641478720*Sqrt[3]*lu1^11*f44n[t]*g42n[t]*g44n[t] - 12496024912075891200*Sqrt[3]*lu1^12*f44n[t]*g42n[t]*g44n[t] + 5130747047180160000*Sqrt[3]*lu1^13*f44n[t]*g42n[t]*g44n[t] + 8283852990*f22n[t]*g44n[t]^2 - 729159743340*lu1*f22n[t]*g44n[t]^2 + 6763777037010*lu1^2*f22n[t]*g44n[t]^2 + 105926840563320*lu1^3*f22n[t]* g44n[t]^2 - 538768995726150*lu1^4*f22n[t]*g44n[t]^2 - 3549854118145020*lu1^5*f22n[t]*g44n[t]^2 - 25154064831482370*lu1^6* f22n[t]*g44n[t]^2 + 216935192911069920*lu1^7*f22n[t]*g44n[t]^2 + 679160798037297240*lu1^8*f22n[t]*g44n[t]^2 - 2031869077220161200* lu1^9*f22n[t]*g44n[t]^2 - 7349616036952946400*lu1^10*f22n[t]* g44n[t]^2 - 3649356702114506880*lu1^11*f22n[t]*g44n[t]^2 + 5219939864233449600*lu1^12*f22n[t]*g44n[t]^2 + 3921206927979936000* lu1^13*f22n[t]*g44n[t]^2 - 642518730*Sqrt[3]*f42n[t]*g44n[t]^2 + 927386969040*Sqrt[3]*lu1*f42n[t]*g44n[t]^2 - 9285295154310*Sqrt[3]* lu1^2*f42n[t]*g44n[t]^2 - 151313409090900*Sqrt[3]*lu1^3*f42n[t]* g44n[t]^2 - 145219707743670*Sqrt[3]*lu1^4*f42n[t]*g44n[t]^2 + 4241814200278200*Sqrt[3]*lu1^5*f42n[t]*g44n[t]^2 + 117889200372312390*Sqrt[3]*lu1^6*f42n[t]*g44n[t]^2 - 276656668541324820*Sqrt[3]*lu1^7*f42n[t]*g44n[t]^2 - 2706341068811570400*Sqrt[3]*lu1^8*f42n[t]*g44n[t]^2 + 410037972214923360*Sqrt[3]*lu1^9*f42n[t]*g44n[t]^2 + 19263122495914036320*Sqrt[3]*lu1^10*f42n[t]*g44n[t]^2 + 26424487022925136320*Sqrt[3]*lu1^11*f42n[t]*g44n[t]^2 + 2267431162592467200*Sqrt[3]*lu1^12*f42n[t]*g44n[t]^2 - 8453915242053120000*Sqrt[3]*lu1^13*f42n[t]*g44n[t]^2 + 2*f22[t]*(79320537900*Sqrt[70]*f40[t]*f44n[t] - 3135910145400*Sqrt[70]*lu1*f40[t]*f44n[t] - 7676311073400*Sqrt[70]* lu1^2*f40[t]*f44n[t] + 1483210785640860*Sqrt[70]*lu1^3*f40[t]* f44n[t] - 22356426112858260*Sqrt[70]*lu1^4*f40[t]*f44n[t] - 1828448625378960*Sqrt[70]*lu1^5*f40[t]*f44n[t] + 279677813814668400*Sqrt[70]*lu1^6*f40[t]*f44n[t] + 4263908289531116700*Sqrt[70]*lu1^7*f40[t]*f44n[t] + 36633581925747427920*Sqrt[70]*lu1^8*f40[t]*f44n[t] + 59307227426059873680*Sqrt[70]*lu1^9*f40[t]*f44n[t] - 59526796545652405920*Sqrt[70]*lu1^10*f40[t]*f44n[t] - 129279098041539619200*Sqrt[70]*lu1^11*f40[t]*f44n[t] - 37714082902811011200*Sqrt[70]*lu1^12*f40[t]*f44n[t] - 16797976045695936000*Sqrt[70]*lu1^13*f40[t]*f44n[t] - 17601932205*Sqrt[14]*f44n[t]*g20[t] - 248735137365*Sqrt[14]*lu1* f44n[t]*g20[t] + 30875062580505*Sqrt[14]*lu1^2*f44n[t]*g20[t] + 286136264796525*Sqrt[14]*lu1^3*f44n[t]*g20[t] - 12322629580719315*Sqrt[14]*lu1^4*f44n[t]*g20[t] - 68304809562155595*Sqrt[14]*lu1^5*f44n[t]*g20[t] + 1000456057689697895*Sqrt[14]*lu1^6*f44n[t]*g20[t] + 7386875595920884635*Sqrt[14]*lu1^7*f44n[t]*g20[t] + 19063207394849389200*Sqrt[14]*lu1^8*f44n[t]*g20[t] + 2255657916913606920*Sqrt[14]*lu1^9*f44n[t]*g20[t] - 58712804330485596720*Sqrt[14]*lu1^10*f44n[t]*g20[t] - 77356285817151541200*Sqrt[14]*lu1^11*f44n[t]*g20[t] - 21550858403057984000*Sqrt[14]*lu1^12*f44n[t]*g20[t] + 9324387596203680000*Sqrt[14]*lu1^13*f44n[t]*g20[t] - 30718463490*Sqrt[3]*f42n[t]*g22[t] - 140676809130*Sqrt[3]*lu1* f42n[t]*g22[t] + 49952173406850*Sqrt[3]*lu1^2*f42n[t]*g22[t] + 225103199645610*Sqrt[3]*lu1^3*f42n[t]*g22[t] - 20032246418093910* Sqrt[3]*lu1^4*f42n[t]*g22[t] - 76251612482120790*Sqrt[3]*lu1^5* f42n[t]*g22[t] + 1712680641102077790*Sqrt[3]*lu1^6*f42n[t]* g22[t] + 14339109813420313350*Sqrt[3]*lu1^7*f42n[t]*g22[t] + 36005039161611525720*Sqrt[3]*lu1^8*f42n[t]*g22[t] - 8752565795659891920*Sqrt[3]*lu1^9*f42n[t]*g22[t] - 126332858950818268320*Sqrt[3]*lu1^10*f42n[t]*g22[t] - 125720665993229392800*Sqrt[3]*lu1^11*f42n[t]*g22[t] - 5905442884797456000*Sqrt[3]*lu1^12*f42n[t]*g22[t] + 28317330967685760000*Sqrt[3]*lu1^13*f42n[t]*g22[t] - 1771677765*g22[t]*g22n[t] + 37478533950*lu1*g22[t]*g22n[t] + 1852376699745*lu1^2*g22[t]*g22n[t] - 26721712660500*lu1^3*g22[t]* g22n[t] - 578820329988615*lu1^4*g22[t]*g22n[t] + 4432514897823870*lu1^5*g22[t]*g22n[t] + 75192537974357375*lu1^6* g22[t]*g22n[t] - 117162657492755160*lu1^7*g22[t]*g22n[t] - 2913938498846789700*lu1^8*g22[t]*g22n[t] - 2696610053364392880* lu1^9*g22[t]*g22n[t] + 26971254581472286800*lu1^10*g22[t]* g22n[t] + 74960277077951865600*lu1^11*g22[t]*g22n[t] + 69796456694347240000*lu1^12*g22[t]*g22n[t] + 21144534412441440000* lu1^13*g22[t]*g22n[t] + 7908059322*Sqrt[70]*f44n[t]*g40[t] + 268564033350*Sqrt[70]*lu1*f44n[t]*g40[t] - 12487972781772*Sqrt[70]* lu1^2*f44n[t]*g40[t] - 244275947551098*Sqrt[70]*lu1^3*f44n[t]* g40[t] + 2424852496705416*Sqrt[70]*lu1^4*f44n[t]*g40[t] + 10377637321290186*Sqrt[70]*lu1^5*f44n[t]*g40[t] - 46963679987545260*Sqrt[70]*lu1^6*f44n[t]*g40[t] - 240953913595592094*Sqrt[70]*lu1^7*f44n[t]*g40[t] - 183953386503965826*Sqrt[70]*lu1^8*f44n[t]*g40[t] + 757480288084786872*Sqrt[70]*lu1^9*f44n[t]*g40[t] + 3180815426596950264*Sqrt[70]*lu1^10*f44n[t]*g40[t] + 5283589471767338640*Sqrt[70]*lu1^11*f44n[t]*g40[t] + 2098114720327953600*Sqrt[70]*lu1^12*f44n[t]*g40[t] - 1279721308769736000*Sqrt[70]*lu1^13*f44n[t]*g40[t] + 82174622310*f42n[t]*g42[t] + 5516466825510*lu1*f42n[t]*g42[t] - 150604843102650*lu1^2*f42n[t]*g42[t] - 5052134084870070*lu1^3* f42n[t]*g42[t] + 15986223738593910*lu1^4*f42n[t]*g42[t] + 277825786879332690*lu1^5*f42n[t]*g42[t] + 1539296667329500890*lu1^6* f42n[t]*g42[t] - 11584399595712043050*lu1^7*f42n[t]*g42[t] - 45077323123108526940*lu1^8*f42n[t]*g42[t] + 57752198476879592520* lu1^9*f42n[t]*g42[t] + 347434824398454563040*lu1^10*f42n[t]* g42[t] + 346183185877278092640*lu1^11*f42n[t]*g42[t] + 1563451901062833600*lu1^12*f42n[t]*g42[t] - 88300643121477360000* lu1^13*f42n[t]*g42[t] - 15637050*Sqrt[3]*g22n[t]*g42[t] - 20802488850*Sqrt[3]*lu1*g22n[t]*g42[t] + 289173417390*Sqrt[3]*lu1^2* g22n[t]*g42[t] + 15943578689610*Sqrt[3]*lu1^3*g22n[t]*g42[t] - 45466585202610*Sqrt[3]*lu1^4*g22n[t]*g42[t] - 660233008710990* Sqrt[3]*lu1^5*g22n[t]*g42[t] - 12846632208474350*Sqrt[3]*lu1^6* g22n[t]*g42[t] + 72768266713200630*Sqrt[3]*lu1^7*g22n[t]*g42[t] + 406646822315954220*Sqrt[3]*lu1^8*g22n[t]*g42[t] - 686273254201941120*Sqrt[3]*lu1^9*g22n[t]*g42[t] - 5502883473456420480*Sqrt[3]*lu1^10*g22n[t]*g42[t] - 8946480441111127200*Sqrt[3]*lu1^11*g22n[t]*g42[t] - 5010471688795144000*Sqrt[3]*lu1^12*g22n[t]*g42[t] - 436465171702560000*Sqrt[3]*lu1^13*g22n[t]*g42[t] + 1430*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]* (6*Sqrt[3]*(875835 - 46106535*lu1 + 494555088*lu1^2 + 4285962540*lu1^3 - 47306116393*lu1^4 - 154145212335*lu1^5 - 615673950270*lu1^6 + 340865341266*lu1^7 + 552106098300*lu1^8 - 80318147256*lu1^9 + 123723602800*lu1^10)*f42[t] - 22*(-50193 + 3125043*lu1 - 26219292*lu1^2 - 603845325*lu1^3 + 4042597997*lu1^4 + 43766593929*lu1^5 + 34491900486*lu1^6 - 245468802339*lu1^7 - 430096382790*lu1^8 + 320080476924*lu1^9 + 332981749240*lu1^10)*g22[t] + 3*Sqrt[3]*(173853 + 6365772*lu1 - 131359497*lu1^2 - 443926470*lu1^3 + 7963634927*lu1^4 - 949507344*lu1^5 - 58775153991*lu1^6 - 65469222414*lu1^7 + 89832252900*lu1^8 + 347899568664*lu1^9 + 192948632800*lu1^10)* g42[t]) + 672393150*Sqrt[3]*g22[t]*g42n[t] + 38849729490*Sqrt[3]*lu1*g22[t]*g42n[t] - 1517127556230*Sqrt[3]* lu1^2*g22[t]*g42n[t] - 30062449976130*Sqrt[3]*lu1^3*g22[t]* g42n[t] + 443500227683370*Sqrt[3]*lu1^4*g22[t]*g42n[t] + 311333378614830*Sqrt[3]*lu1^5*g22[t]*g42n[t] - 3762179936599370*Sqrt[3]*lu1^6*g22[t]*g42n[t] + 50720440601177490*Sqrt[3]*lu1^7*g22[t]*g42n[t] - 213884157601016760*Sqrt[3]*lu1^8*g22[t]*g42n[t] - 1698931972739018160*Sqrt[3]*lu1^9*g22[t]*g42n[t] - 3259036345202420640*Sqrt[3]*lu1^10*g22[t]*g42n[t] - 3040674576266527200*Sqrt[3]*lu1^11*g22[t]*g42n[t] - 1556169108585520000*Sqrt[3]*lu1^12*g22[t]*g42n[t] - 236085360551040000*Sqrt[3]*lu1^13*g22[t]*g42n[t] - 2654547795*g42[t]*g42n[t] - 17228201850*lu1*g42[t]*g42n[t] + 3850947424395*lu1^2*g42[t]*g42n[t] + 6670264024980*lu1^3*g42[t]* g42n[t] - 962599984817985*lu1^4*g42[t]*g42n[t] + 2947300971682590*lu1^5*g42[t]*g42n[t] + 47828833523423325*lu1^6* g42[t]*g42n[t] - 116947808025528960*lu1^7*g42[t]*g42n[t] - 1087630338456520740*lu1^8*g42[t]*g42n[t] + 287547680721539880*lu1^9* g42[t]*g42n[t] + 10708104313941640560*lu1^10*g42[t]*g42n[t] + 21593288647716235200*lu1^11*g42[t]*g42n[t] + 15432918312896424000* lu1^12*g42[t]*g42n[t] + 3113078198585040000*lu1^13*g42[t]* g42n[t] - 10*f42[t]*(90*(-1322008965 + 52265169090*lu1 + 127938517890*lu1^2 - 24720179760681*lu1^3 + 372607101880971*lu1^ 4 + 30474143756316*lu1^5 - 4661296896911140*lu1^6 - 71065138158851945*lu1^7 - 610559698762457132*lu1^8 - 988453790434331228*lu1^9 + 992113275760873432*lu1^10 + 2154651634025660320*lu1^11 + 628568048380183520*lu1^12 + 279966267428265600*lu1^13)*f42n[t] + (-3 + 13*lu1 + 38*lu1^2)* (572*Sqrt[3]*(-261387 - 21924837*lu1 + 589207797*lu1^2 + 22506832119*lu1^3 - 163830681831*lu1^4 - 3942212768867* lu1^5 - 2361404674733*lu1^6 - 34838697006563*lu1^7 - 57255524558318*lu1^8 + 83556039742660*lu1^9 + 155910057524200* lu1^10 + 44481761940000*lu1^11)*g22n[t] - 9*(-574322805 - 11897821692*lu1 + 770924833251*lu1^2 + 11620132764370*lu1^3 - 150100862587175*lu1^4 - 627335140489712*lu1^5 + 6299555564943545*lu1^6 + 3219302380240194*lu1^7 - 52769102633339264*lu1^8 - 58155726319442552*lu1^9 + 12954928891770320*lu1^10 + 14593275981984000*lu1^11)*g42n[ t])) - 106773062760*f44n[t]*g44[t] + 1719344128320*lu1* f44n[t]*g44[t] + 111835720252620*lu1^2*f44n[t]*g44[t] - 1805396938483320*lu1^3*f44n[t]*g44[t] - 37935714829232220*lu1^4* f44n[t]*g44[t] + 373918613919636240*lu1^5*f44n[t]*g44[t] + 3807854642760981540*lu1^6*f44n[t]*g44[t] - 24353065428373095960* lu1^7*f44n[t]*g44[t] - 80423085394499150940*lu1^8*f44n[t]*g44[t] + 220555145243917716960*lu1^9*f44n[t]*g44[t] + 860801835077382809520* lu1^10*f44n[t]*g44[t] + 649415795521867701600*lu1^11*f44n[t]* g44[t] - 162213663884736172800*lu1^12*f44n[t]*g44[t] - 205171706329642416000*lu1^13*f44n[t]*g44[t] + 7908059322*Sqrt[70]* f40[t]*g44n[t] + 268564033350*Sqrt[70]*lu1*f40[t]*g44n[t] - 12487972781772*Sqrt[70]*lu1^2*f40[t]*g44n[t] - 244275947551098*Sqrt[70]*lu1^3*f40[t]*g44n[t] + 2424852496705416*Sqrt[70]*lu1^4*f40[t]*g44n[t] + 10377637321290186*Sqrt[70]*lu1^5*f40[t]*g44n[t] - 46963679987545260*Sqrt[70]*lu1^6*f40[t]*g44n[t] - 240953913595592094*Sqrt[70]*lu1^7*f40[t]*g44n[t] - 183953386503965826*Sqrt[70]*lu1^8*f40[t]*g44n[t] + 757480288084786872*Sqrt[70]*lu1^9*f40[t]*g44n[t] + 3180815426596950264*Sqrt[70]*lu1^10*f40[t]*g44n[t] + 5283589471767338640*Sqrt[70]*lu1^11*f40[t]*g44n[t] + 2098114720327953600*Sqrt[70]*lu1^12*f40[t]*g44n[t] - 1279721308769736000*Sqrt[70]*lu1^13*f40[t]*g44n[t] + 106773062760*f44[t]*g44n[t] - 1719344128320*lu1*f44[t]*g44n[t] - 111835720252620*lu1^2*f44[t]*g44n[t] + 1805396938483320*lu1^3* f44[t]*g44n[t] + 37935714829232220*lu1^4*f44[t]*g44n[t] - 373918613919636240*lu1^5*f44[t]*g44n[t] - 3807854642760981540*lu1^6* f44[t]*g44n[t] + 24353065428373095960*lu1^7*f44[t]*g44n[t] + 80423085394499150940*lu1^8*f44[t]*g44n[t] - 220555145243917716960* lu1^9*f44[t]*g44n[t] - 860801835077382809520*lu1^10*f44[t]* g44n[t] - 649415795521867701600*lu1^11*f44[t]*g44n[t] + 162213663884736172800*lu1^12*f44[t]*g44n[t] + 205171706329642416000* lu1^13*f44[t]*g44n[t] + 328378050*Sqrt[14]*g20[t]*g44n[t] + 9023620320*Sqrt[14]*lu1*g20[t]*g44n[t] - 613977069420*Sqrt[14]* lu1^2*g20[t]*g44n[t] - 7059435643260*Sqrt[14]*lu1^3*g20[t]* g44n[t] + 199016821240380*Sqrt[14]*lu1^4*g20[t]*g44n[t] - 174449815048080*Sqrt[14]*lu1^5*g20[t]*g44n[t] - 8304406072536860*Sqrt[14]*lu1^6*g20[t]*g44n[t] + 61744353657189060*Sqrt[14]*lu1^7*g20[t]*g44n[t] + 96381332357468730*Sqrt[14]*lu1^8*g20[t]*g44n[t] - 1192602613470479640*Sqrt[14]*lu1^9*g20[t]*g44n[t] - 4380959909329420560*Sqrt[14]*lu1^10*g20[t]*g44n[t] - 5993577508688827200*Sqrt[14]*lu1^11*g20[t]*g44n[t] - 3283320398690332000*Sqrt[14]*lu1^12*g20[t]*g44n[t] - 336275266126800000*Sqrt[14]*lu1^13*g20[t]*g44n[t] - 176969853*Sqrt[70]*g40[t]*g44n[t] - 1148546790*Sqrt[70]*lu1*g40[t]* g44n[t] + 256729828293*Sqrt[70]*lu1^2*g40[t]*g44n[t] + 444684268332*Sqrt[70]*lu1^3*g40[t]*g44n[t] - 64173332321199* Sqrt[70]*lu1^4*g40[t]*g44n[t] + 196486731445506*Sqrt[70]*lu1^5* g40[t]*g44n[t] + 3188588901561555*Sqrt[70]*lu1^6*g40[t]*g44n[t] - 7796520535035264*Sqrt[70]*lu1^7*g40[t]*g44n[t] - 72508689230434716*Sqrt[70]*lu1^8*g40[t]*g44n[t] + 19169845381435992*Sqrt[70]*lu1^9*g40[t]*g44n[t] + 713873620929442704*Sqrt[70]*lu1^10*g40[t]*g44n[t] + 1439552576514415680*Sqrt[70]*lu1^11*g40[t]*g44n[t] + 1028861220859761600*Sqrt[70]*lu1^12*g40[t]*g44n[t] + 207538546572336000*Sqrt[70]*lu1^13*g40[t]*g44n[t]) + f20[t]*(75810402900*Sqrt[15]*f40[t]*f42n[t] - 1452594199860*Sqrt[15]* lu1*f40[t]*f42n[t] - 76798100096100*Sqrt[15]*lu1^2*f40[t]* f42n[t] - 613764316721700*Sqrt[15]*lu1^3*f40[t]*f42n[t] + 80730946614652020*Sqrt[15]*lu1^4*f40[t]*f42n[t] - 514927022496136380*Sqrt[15]*lu1^5*f40[t]*f42n[t] - 2068918769861751180*Sqrt[15]*lu1^6*f40[t]*f42n[t] + 29442246521349342900*Sqrt[15]*lu1^7*f40[t]*f42n[t] + 229439768874767092200*Sqrt[15]*lu1^8*f40[t]*f42n[t] + 575078581996925147040*Sqrt[15]*lu1^9*f40[t]*f42n[t] + 271986426659912456640*Sqrt[15]*lu1^10*f40[t]*f42n[t] - 615000071562341997120*Sqrt[15]*lu1^11*f40[t]*f42n[t] - 594470030116505692800*Sqrt[15]*lu1^12*f40[t]*f42n[t] - 80005108147159104000*Sqrt[15]*lu1^13*f40[t]*f42n[t] - 236791568700*Sqrt[42]*f42n[t]*f44[t] + 8846625121020*Sqrt[42]*lu1* f42n[t]*f44[t] + 46069529561100*Sqrt[42]*lu1^2*f42n[t]*f44[t] - 3750640656135060*Sqrt[42]*lu1^3*f42n[t]*f44[t] + 32706820762738020*Sqrt[42]*lu1^4*f42n[t]*f44[t] + 176518203833056020*Sqrt[42]*lu1^5*f42n[t]*f44[t] - 56167913551865340*Sqrt[42]*lu1^6*f42n[t]*f44[t] - 21184504279199425500*Sqrt[42]*lu1^7*f42n[t]*f44[t] - 174169474760248838520*Sqrt[42]*lu1^8*f42n[t]*f44[t] - 349845467135134712160*Sqrt[42]*lu1^9*f42n[t]*f44[t] + 68075981901768930240*Sqrt[42]*lu1^10*f42n[t]*f44[t] + 549744285298219650240*Sqrt[42]*lu1^11*f42n[t]*f44[t] + 298727564446331260800*Sqrt[42]*lu1^12*f42n[t]*f44[t] + 71462972170908864000*Sqrt[42]*lu1^13*f42n[t]*f44[t] - 79189496100*Sqrt[14]*f22[t]*f44n[t] + 6481005874200*Sqrt[14]*lu1* f22[t]*f44n[t] - 81762172832340*Sqrt[14]*lu1^2*f22[t]*f44n[t] - 3963373868797200*Sqrt[14]*lu1^3*f22[t]*f44n[t] + 76497579198912300*Sqrt[14]*lu1^4*f22[t]*f44n[t] + 313443827702062200*Sqrt[14]*lu1^5*f22[t]*f44n[t] - 4243744294337779660*Sqrt[14]*lu1^6*f22[t]*f44n[t] - 40085583175237622880*Sqrt[14]*lu1^7*f22[t]*f44n[t] - 175368610390468209000*Sqrt[14]*lu1^8*f22[t]*f44n[t] - 42746672687287140000*Sqrt[14]*lu1^9*f22[t]*f44n[t] + 463073621253291734400*Sqrt[14]*lu1^10*f22[t]*f44n[t] + 560193287113549140480*Sqrt[14]*lu1^11*f22[t]*f44n[t] + 268668756430797923200*Sqrt[14]*lu1^12*f22[t]*f44n[t] + 47471593996706880000*Sqrt[14]*lu1^13*f22[t]*f44n[t] + 236791568700*Sqrt[42]*f42[t]*f44n[t] - 8846625121020*Sqrt[42]*lu1* f42[t]*f44n[t] - 46069529561100*Sqrt[42]*lu1^2*f42[t]*f44n[t] + 3750640656135060*Sqrt[42]*lu1^3*f42[t]*f44n[t] - 32706820762738020*Sqrt[42]*lu1^4*f42[t]*f44n[t] - 176518203833056020*Sqrt[42]*lu1^5*f42[t]*f44n[t] + 56167913551865340*Sqrt[42]*lu1^6*f42[t]*f44n[t] + 21184504279199425500*Sqrt[42]*lu1^7*f42[t]*f44n[t] + 174169474760248838520*Sqrt[42]*lu1^8*f42[t]*f44n[t] + 349845467135134712160*Sqrt[42]*lu1^9*f42[t]*f44n[t] - 68075981901768930240*Sqrt[42]*lu1^10*f42[t]*f44n[t] - 549744285298219650240*Sqrt[42]*lu1^11*f42[t]*f44n[t] - 298727564446331260800*Sqrt[42]*lu1^12*f42[t]*f44n[t] - 71462972170908864000*Sqrt[42]*lu1^13*f42[t]*f44n[t] - 7482154680*Sqrt[3]*f42n[t]*g20[t] - 266034637440*Sqrt[3]*lu1* f42n[t]*g20[t] + 15676934361660*Sqrt[3]*lu1^2*f42n[t]*g20[t] + 272287511315820*Sqrt[3]*lu1^3*f42n[t]*g20[t] - 6783257286851760*Sqrt[3]*lu1^4*f42n[t]*g20[t] - 51922792419755400*Sqrt[3]*lu1^5*f42n[t]*g20[t] + 764132431696225020*Sqrt[3]*lu1^6*f42n[t]*g20[t] + 1694582081127241020*Sqrt[3]*lu1^7*f42n[t]*g20[t] - 18121384656579306960*Sqrt[3]*lu1^8*f42n[t]*g20[t] - 34502429625624623520*Sqrt[3]*lu1^9*f42n[t]*g20[t] + 74517264274553305920*Sqrt[3]*lu1^10*f42n[t]*g20[t] + 185345302893686020800*Sqrt[3]*lu1^11*f42n[t]*g20[t] + 75897780884269344000*Sqrt[3]*lu1^12*f42n[t]*g20[t] - 22363753082711040000*Sqrt[3]*lu1^13*f42n[t]*g20[t] - 64433680740*Sqrt[14]*f44n[t]*g22[t] - 190594790100*Sqrt[14]*lu1* f44n[t]*g22[t] + 103783329421200*Sqrt[14]*lu1^2*f44n[t]*g22[t] + 375324580659600*Sqrt[14]*lu1^3*f44n[t]*g22[t] - 42234737379694860*Sqrt[14]*lu1^4*f44n[t]*g22[t] - 144068010741806580*Sqrt[14]*lu1^5*f44n[t]*g22[t] + 3901262239623062600*Sqrt[14]*lu1^6*f44n[t]*g22[t] + 29938160329546411800*Sqrt[14]*lu1^7*f44n[t]*g22[t] + 51767318038556491800*Sqrt[14]*lu1^8*f44n[t]*g22[t] - 65271442846431513120*Sqrt[14]*lu1^9*f44n[t]*g22[t] - 187055703916930305600*Sqrt[14]*lu1^10*f44n[t]*g22[t] - 37104123451699075200*Sqrt[14]*lu1^11*f44n[t]*g22[t] + 101283169035992944000*Sqrt[14]*lu1^12*f44n[t]*g22[t] + 43939464627938880000*Sqrt[14]*lu1^13*f44n[t]*g22[t] - 18269217252*Sqrt[5]*f40[t]*g22n[t] - 466271116740*Sqrt[5]*lu1* f40[t]*g22n[t] + 34914207989232*Sqrt[5]*lu1^2*f40[t]*g22n[t] + 491668112068848*Sqrt[5]*lu1^3*f40[t]*g22n[t] - 13982562767952636* Sqrt[5]*lu1^4*f40[t]*g22n[t] - 101243210118989796*Sqrt[5]*lu1^5* f40[t]*g22n[t] + 1126130217057394120*Sqrt[5]*lu1^6*f40[t]* g22n[t] + 6509201720015029464*Sqrt[5]*lu1^7*f40[t]*g22n[t] + 12899114361416001576*Sqrt[5]*lu1^8*f40[t]*g22n[t] + 2862369386098224288*Sqrt[5]*lu1^9*f40[t]*g22n[t] - 26722440435569571264*Sqrt[5]*lu1^10*f40[t]*g22n[t] - 42211111459628242560*Sqrt[5]*lu1^11*f40[t]*g22n[t] - 24378894898383625600*Sqrt[5]*lu1^12*f40[t]*g22n[t] - 2814374004746304000*Sqrt[5]*lu1^13*f40[t]*g22n[t] + 64433680740*Sqrt[14]*f44[t]*g22n[t] + 190594790100*Sqrt[14]*lu1* f44[t]*g22n[t] - 103783329421200*Sqrt[14]*lu1^2*f44[t]*g22n[t] - 375324580659600*Sqrt[14]*lu1^3*f44[t]*g22n[t] + 42234737379694860*Sqrt[14]*lu1^4*f44[t]*g22n[t] + 144068010741806580*Sqrt[14]*lu1^5*f44[t]*g22n[t] - 3901262239623062600*Sqrt[14]*lu1^6*f44[t]*g22n[t] - 29938160329546411800*Sqrt[14]*lu1^7*f44[t]*g22n[t] - 51767318038556491800*Sqrt[14]*lu1^8*f44[t]*g22n[t] + 65271442846431513120*Sqrt[14]*lu1^9*f44[t]*g22n[t] + 187055703916930305600*Sqrt[14]*lu1^10*f44[t]*g22n[t] + 37104123451699075200*Sqrt[14]*lu1^11*f44[t]*g22n[t] - 101283169035992944000*Sqrt[14]*lu1^12*f44[t]*g22n[t] - 43939464627938880000*Sqrt[14]*lu1^13*f44[t]*g22n[t] - 361215855*g20[t]*g22n[t] - 18301603320*lu1*g20[t]*g22n[t] + 1130619004515*lu1^2*g20[t]*g22n[t] + 11367516470310*lu1^3*g20[t]* g22n[t] - 578972548459305*lu1^4*g20[t]*g22n[t] + 292903324934220*lu1^5*g20[t]*g22n[t] + 59810279976131685*lu1^6* g20[t]*g22n[t] - 139663633038299370*lu1^7*g20[t]*g22n[t] - 1499746254510984480*lu1^8*g20[t]*g22n[t] + 704547720941304240*lu1^9* g20[t]*g22n[t] + 16442638256842958160*lu1^10*g20[t]*g22n[t] + 32188039324079839200*lu1^11*g20[t]*g22n[t] + 22034224274606544000* lu1^12*g20[t]*g22n[t] + 3806271958769280000*lu1^13*g20[t]* g22n[t] - 5739320286*Sqrt[15]*f42n[t]*g40[t] - 140755761450*Sqrt[15]*lu1*f42n[t]*g40[t] - 3706321657014*Sqrt[15]* lu1^2*f42n[t]*g40[t] + 326550159620874*Sqrt[15]*lu1^3*f42n[t]* g40[t] + 3516704562014922*Sqrt[15]*lu1^4*f42n[t]*g40[t] + 118920793102207482*Sqrt[15]*lu1^5*f42n[t]*g40[t] - 32370954148074090*Sqrt[15]*lu1^6*f42n[t]*g40[t] - 4856766600969633978*Sqrt[15]*lu1^7*f42n[t]*g40[t] - 10908354547833667212*Sqrt[15]*lu1^8*f42n[t]*g40[t] + 16299785561796354624*Sqrt[15]*lu1^9*f42n[t]*g40[t] + 58586580455076533568*Sqrt[15]*lu1^10*f42n[t]*g40[t] + 19013425757251119840*Sqrt[15]*lu1^11*f42n[t]*g40[t] - 40254184279974974400*Sqrt[15]*lu1^12*f42n[t]*g40[t] - 20028380826189792000*Sqrt[15]*lu1^13*f42n[t]*g40[t] + 157308723*Sqrt[5]*g22n[t]*g40[t] - 7058564370*Sqrt[5]*lu1*g22n[t]* g40[t] - 191932174863*Sqrt[5]*lu1^2*g22n[t]*g40[t] + 5550011083188*Sqrt[5]*lu1^3*g22n[t]*g40[t] + 119238974618049* Sqrt[5]*lu1^4*g22n[t]*g40[t] - 396360309428226*Sqrt[5]*lu1^5* g22n[t]*g40[t] - 18365654575453185*Sqrt[5]*lu1^6*g22n[t]*g40[t] + 81254338888632624*Sqrt[5]*lu1^7*g22n[t]*g40[t] + 446180345024341356*Sqrt[5]*lu1^8*g22n[t]*g40[t] - 922032542971446192*Sqrt[5]*lu1^9*g22n[t]*g40[t] - 6600649122558629424*Sqrt[5]*lu1^10*g22n[t]*g40[t] - 10840119033904617600*Sqrt[5]*lu1^11*g22n[t]*g40[t] - 6540046074151761600*Sqrt[5]*lu1^12*g22n[t]*g40[t] - 889126233035040000*Sqrt[5]*lu1^13*g22n[t]*g40[t] + 16351674120*Sqrt[42]*f44n[t]*g42[t] + 564529791600*Sqrt[42]*lu1* f44n[t]*g42[t] - 31336182720000*Sqrt[42]*lu1^2*f44n[t]*g42[t] - 461669739868980*Sqrt[42]*lu1^3*f44n[t]*g42[t] + 7874959228114620*Sqrt[42]*lu1^4*f44n[t]*g42[t] + 78113643874149360*Sqrt[42]*lu1^5*f44n[t]*g42[t] - 192664222309843560*Sqrt[42]*lu1^6*f44n[t]*g42[t] - 2962539606979521300*Sqrt[42]*lu1^7*f44n[t]*g42[t] - 3775580608571887260*Sqrt[42]*lu1^8*f44n[t]*g42[t] + 18101139033216728040*Sqrt[42]*lu1^9*f44n[t]*g42[t] + 49790755379149227840*Sqrt[42]*lu1^10*f44n[t]*g42[t] + 30057139503824249280*Sqrt[42]*lu1^11*f44n[t]*g42[t] - 16356182678869051200*Sqrt[42]*lu1^12*f44n[t]*g42[t] - 15668888711264208000*Sqrt[42]*lu1^13*f44n[t]*g42[t] + 2730811644*Sqrt[15]*f40[t]*g42n[t] + 173411369100*Sqrt[15]*lu1* f40[t]*g42n[t] - 13307877408204*Sqrt[15]*lu1^2*f40[t]*g42n[t] + 83901958439904*Sqrt[15]*lu1^3*f40[t]*g42n[t] + 2807351413329312*Sqrt[15]*lu1^4*f40[t]*g42n[t] + 86521753152288372*Sqrt[15]*lu1^5*f40[t]*g42n[t] + 137541318733020420*Sqrt[15]*lu1^6*f40[t]*g42n[t] - 2753545689765440808*Sqrt[15]*lu1^7*f40[t]*g42n[t] - 11961594361983399252*Sqrt[15]*lu1^8*f40[t]*g42n[t] - 15644003671379179896*Sqrt[15]*lu1^9*f40[t]*g42n[t] - 6752581814519014272*Sqrt[15]*lu1^10*f40[t]*g42n[t] - 9875851222831799040*Sqrt[15]*lu1^11*f40[t]*g42n[t] - 14654902760719166400*Sqrt[15]*lu1^12*f40[t]*g42n[t] - 3287865988744848000*Sqrt[15]*lu1^13*f40[t]*g42n[t] - 16351674120*Sqrt[42]*f44[t]*g42n[t] - 564529791600*Sqrt[42]*lu1* f44[t]*g42n[t] + 31336182720000*Sqrt[42]*lu1^2*f44[t]*g42n[t] + 461669739868980*Sqrt[42]*lu1^3*f44[t]*g42n[t] - 7874959228114620*Sqrt[42]*lu1^4*f44[t]*g42n[t] - 78113643874149360*Sqrt[42]*lu1^5*f44[t]*g42n[t] + 192664222309843560*Sqrt[42]*lu1^6*f44[t]*g42n[t] + 2962539606979521300*Sqrt[42]*lu1^7*f44[t]*g42n[t] + 3775580608571887260*Sqrt[42]*lu1^8*f44[t]*g42n[t] - 18101139033216728040*Sqrt[42]*lu1^9*f44[t]*g42n[t] - 49790755379149227840*Sqrt[42]*lu1^10*f44[t]*g42n[t] - 30057139503824249280*Sqrt[42]*lu1^11*f44[t]*g42n[t] + 16356182678869051200*Sqrt[42]*lu1^12*f44[t]*g42n[t] + 15668888711264208000*Sqrt[42]*lu1^13*f44[t]*g42n[t] - 480057435*Sqrt[3]*g20[t]*g42n[t] - 8979836580*Sqrt[3]*lu1*g20[t]* g42n[t] + 628727151195*Sqrt[3]*lu1^2*g20[t]*g42n[t] + 8157061920150*Sqrt[3]*lu1^3*g20[t]*g42n[t] - 63472656263445*Sqrt[3]* lu1^4*g20[t]*g42n[t] + 696696739184160*Sqrt[3]*lu1^5*g20[t]* g42n[t] - 20070751961695435*Sqrt[3]*lu1^6*g20[t]*g42n[t] - 59010520325195010*Sqrt[3]*lu1^7*g20[t]*g42n[t] + 625435928743969200*Sqrt[3]*lu1^8*g20[t]*g42n[t] + 2219067501630510960*Sqrt[3]*lu1^9*g20[t]*g42n[t] + 1029244444893796560*Sqrt[3]*lu1^10*g20[t]*g42n[t] - 3386843811434397600*Sqrt[3]*lu1^11*g20[t]*g42n[t] - 4535533709612048000*Sqrt[3]*lu1^12*g20[t]*g42n[t] - 1791134585560320000*Sqrt[3]*lu1^13*g20[t]*g42n[t] + 727345899*Sqrt[15]*g40[t]*g42n[t] - 42758445240*Sqrt[15]*lu1*g40[t]* g42n[t] + 176796498501*Sqrt[15]*lu1^2*g40[t]*g42n[t] - 5433399173286*Sqrt[15]*lu1^3*g40[t]*g42n[t] + 126860194273617* Sqrt[15]*lu1^4*g40[t]*g42n[t] + 214987948914732*Sqrt[15]*lu1^5* g40[t]*g42n[t] - 9522614416226205*Sqrt[15]*lu1^6*g40[t]*g42n[t] + 5292801238043802*Sqrt[15]*lu1^7*g40[t]*g42n[t] + 168306821754265068*Sqrt[15]*lu1^8*g40[t]*g42n[t] + 104925104049162264*Sqrt[15]*lu1^9*g40[t]*g42n[t] - 1026335524263580272*Sqrt[15]*lu1^10*g40[t]*g42n[t] - 2269337287180632480*Sqrt[15]*lu1^11*g40[t]*g42n[t] - 1688954400862545600*Sqrt[15]*lu1^12*g40[t]*g42n[t] - 345838658735472000*Sqrt[15]*lu1^13*g40[t]*g42n[t] - 24821806050*Sqrt[42]*f42n[t]*g44[t] - 878696922150*Sqrt[42]*lu1* f42n[t]*g44[t] + 40937738471190*Sqrt[42]*lu1^2*f42n[t]*g44[t] + 704317941049950*Sqrt[42]*lu1^3*f42n[t]*g44[t] - 7165606079429010*Sqrt[42]*lu1^4*f42n[t]*g44[t] - 45714603924230250*Sqrt[42]*lu1^5*f42n[t]*g44[t] + 22751949428749050*Sqrt[42]*lu1^6*f42n[t]*g44[t] + 859318695775328130*Sqrt[42]*lu1^7*f42n[t]*g44[t] + 4828820422721619300*Sqrt[42]*lu1^8*f42n[t]*g44[t] + 13842650199958806480*Sqrt[42]*lu1^9*f42n[t]*g44[t] + 15548406890446320000*Sqrt[42]*lu1^10*f42n[t]*g44[t] - 1167862523741330400*Sqrt[42]*lu1^11*f42n[t]*g44[t] - 9243098840386756800*Sqrt[42]*lu1^12*f42n[t]*g44[t] - 1071626126180736000*Sqrt[42]*lu1^13*f42n[t]*g44[t] - 880365915*Sqrt[14]*g22n[t]*g44[t] - 89522111250*Sqrt[14]*lu1* g22n[t]*g44[t] + 2694701378655*Sqrt[14]*lu1^2*g22n[t]*g44[t] + 67911416721720*Sqrt[14]*lu1^3*g22n[t]*g44[t] - 868994384305905*Sqrt[14]*lu1^4*g22n[t]*g44[t] - 1979596505124810*Sqrt[14]*lu1^5*g22n[t]*g44[t] + 14748479626419825*Sqrt[14]*lu1^6*g22n[t]*g44[t] + 30337905836040660*Sqrt[14]*lu1^7*g22n[t]*g44[t] + 208979208774018540*Sqrt[14]*lu1^8*g22n[t]*g44[t] + 492523189645584240*Sqrt[14]*lu1^9*g22n[t]*g44[t] - 14055227945375760*Sqrt[14]*lu1^10*g22n[t]*g44[t] + 521712522856324800*Sqrt[14]*lu1^11*g22n[t]*g44[t] + 2637400237987944000*Sqrt[14]*lu1^12*g22n[t]*g44[t] + 1826840134959840000*Sqrt[14]*lu1^13*g22n[t]*g44[t] + 229470975*Sqrt[42]*g42n[t]*g44[t] + 17315606520*Sqrt[42]*lu1* g42n[t]*g44[t] - 743545041615*Sqrt[42]*lu1^2*g42n[t]*g44[t] + 625308342210*Sqrt[42]*lu1^3*g42n[t]*g44[t] + 128842154765325* Sqrt[42]*lu1^4*g42n[t]*g44[t] - 595627266826260*Sqrt[42]*lu1^5* g42n[t]*g44[t] - 5328698932088745*Sqrt[42]*lu1^6*g42n[t]*g44[t] + 19026454347412770*Sqrt[42]*lu1^7*g42n[t]*g44[t] + 137254230696404220*Sqrt[42]*lu1^8*g42n[t]*g44[t] - 86094622366883400*Sqrt[42]*lu1^9*g42n[t]*g44[t] - 1561551147723987120*Sqrt[42]*lu1^10*g42n[t]*g44[t] - 3082361108311564320*Sqrt[42]*lu1^11*g42n[t]*g44[t] - 2180645122005182400*Sqrt[42]*lu1^12*g42n[t]*g44[t] - 438156571281072000*Sqrt[42]*lu1^13*g42n[t]*g44[t] + 1430*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]* (2*Sqrt[5]*(3768309 - 211213467*lu1 + 2520488742*lu1^2 + 17614023936*lu1^3 - 213511649275*lu1^4 - 880371018027*lu1^5 - 3540094590804*lu1^6 + 2510129481534*lu1^7 + 4882699712052*lu1^ 8 + 1470224823960*lu1^9 + 804678983920*lu1^10)*f40[t] - 2*Sqrt[14]*(3076515 - 226149705*lu1 + 3700452126*lu1^2 + 10922793960*lu1^3 - 216048151301*lu1^4 - 1627241268105*lu1^5 - 6618341849160*lu1^6 + 6415071264882*lu1^7 + 14475588790860*lu1^ 8 + 8796850770408*lu1^9 + 1796370069200*lu1^10)*f44[t] - (-3 + 13*lu1 + 38*lu1^2)*(33*(10971 - 446943*lu1 + 1413570* lu1^2 + 71777104*lu1^3 - 196241207*lu1^4 - 2461822301* lu1^5 - 2623483526*lu1^6 + 4312174372*lu1^7 + 3670265320* lu1^8)*g20[t] + Sqrt[5]*(300915 + 12241719*lu1 - 159272346*lu1^2 - 1026605090*lu1^3 + 4674371251*lu1^4 + 1379659327*lu1^5 + 598238644*lu1^6 - 28595313860*lu1^7 - 20990290640*lu1^8)*g40[t] + Sqrt[14]*(-461457 - 18493785*lu1 + 206515086*lu1^2 + 454518766*lu1^3 - 3334966481*lu1^4 + 14970096991*lu1^5 - 7078474316*lu1^6 + 9449335996*lu1^7 + 13554732400*lu1^8)*g44[t])) - 17816854770*Sqrt[14]*f22[t]*g44n[t] - 488364878430*Sqrt[14]*lu1* f22[t]*g44n[t] + 30549029335110*Sqrt[14]*lu1^2*f22[t]*g44n[t] + 414795532578570*Sqrt[14]*lu1^3*f22[t]*g44n[t] - 8427160227979350*Sqrt[14]*lu1^4*f22[t]*g44n[t] - 1901888081211690*Sqrt[14]*lu1^5*f22[t]*g44n[t] + 238822554714382210*Sqrt[14]*lu1^6*f22[t]*g44n[t] - 397563809685114930*Sqrt[14]*lu1^7*f22[t]*g44n[t] + 10391670996289440*Sqrt[14]*lu1^8*f22[t]*g44n[t] + 5669551547173285200*Sqrt[14]*lu1^9*f22[t]*g44n[t] + 4094636666063829600*Sqrt[14]*lu1^10*f22[t]*g44n[t] + 2980379310265225440*Sqrt[14]*lu1^11*f22[t]*g44n[t] + 12262675856057369600*Sqrt[14]*lu1^12*f22[t]*g44n[t] + 6805852825611840000*Sqrt[14]*lu1^13*f22[t]*g44n[t] + 24821806050*Sqrt[42]*f42[t]*g44n[t] + 878696922150*Sqrt[42]*lu1* f42[t]*g44n[t] - 40937738471190*Sqrt[42]*lu1^2*f42[t]*g44n[t] - 704317941049950*Sqrt[42]*lu1^3*f42[t]*g44n[t] + 7165606079429010*Sqrt[42]*lu1^4*f42[t]*g44n[t] + 45714603924230250*Sqrt[42]*lu1^5*f42[t]*g44n[t] - 22751949428749050*Sqrt[42]*lu1^6*f42[t]*g44n[t] - 859318695775328130*Sqrt[42]*lu1^7*f42[t]*g44n[t] - 4828820422721619300*Sqrt[42]*lu1^8*f42[t]*g44n[t] - 13842650199958806480*Sqrt[42]*lu1^9*f42[t]*g44n[t] - 15548406890446320000*Sqrt[42]*lu1^10*f42[t]*g44n[t] + 1167862523741330400*Sqrt[42]*lu1^11*f42[t]*g44n[t] + 9243098840386756800*Sqrt[42]*lu1^12*f42[t]*g44n[t] + 1071626126180736000*Sqrt[42]*lu1^13*f42[t]*g44n[t] + 880365915*Sqrt[14]*g22[t]*g44n[t] + 89522111250*Sqrt[14]*lu1*g22[t]* g44n[t] - 2694701378655*Sqrt[14]*lu1^2*g22[t]*g44n[t] - 67911416721720*Sqrt[14]*lu1^3*g22[t]*g44n[t] + 868994384305905*Sqrt[14]*lu1^4*g22[t]*g44n[t] + 1979596505124810*Sqrt[14]*lu1^5*g22[t]*g44n[t] - 14748479626419825*Sqrt[14]*lu1^6*g22[t]*g44n[t] - 30337905836040660*Sqrt[14]*lu1^7*g22[t]*g44n[t] - 208979208774018540*Sqrt[14]*lu1^8*g22[t]*g44n[t] - 492523189645584240*Sqrt[14]*lu1^9*g22[t]*g44n[t] + 14055227945375760*Sqrt[14]*lu1^10*g22[t]*g44n[t] - 521712522856324800*Sqrt[14]*lu1^11*g22[t]*g44n[t] - 2637400237987944000*Sqrt[14]*lu1^12*g22[t]*g44n[t] - 1826840134959840000*Sqrt[14]*lu1^13*g22[t]*g44n[t] - 229470975*Sqrt[42]*g42[t]*g44n[t] - 17315606520*Sqrt[42]*lu1*g42[t]* g44n[t] + 743545041615*Sqrt[42]*lu1^2*g42[t]*g44n[t] - 625308342210*Sqrt[42]*lu1^3*g42[t]*g44n[t] - 128842154765325* Sqrt[42]*lu1^4*g42[t]*g44n[t] + 595627266826260*Sqrt[42]*lu1^5* g42[t]*g44n[t] + 5328698932088745*Sqrt[42]*lu1^6*g42[t]*g44n[t] - 19026454347412770*Sqrt[42]*lu1^7*g42[t]*g44n[t] - 137254230696404220*Sqrt[42]*lu1^8*g42[t]*g44n[t] + 86094622366883400*Sqrt[42]*lu1^9*g42[t]*g44n[t] + 1561551147723987120*Sqrt[42]*lu1^10*g42[t]*g44n[t] + 3082361108311564320*Sqrt[42]*lu1^11*g42[t]*g44n[t] + 2180645122005182400*Sqrt[42]*lu1^12*g42[t]*g44n[t] + 438156571281072000*Sqrt[42]*lu1^13*g42[t]*g44n[t])))/ (462462*(-3 + 13*lu1 + 38*lu1^2)^3*(-1 + 7*lu1 + 170*lu1^2)^2* (-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*Pi) - (-462462*(1 + 2*lu1)^2*(9 - 114*lu1 - 1211*lu1^2 + 8936*lu1^3 + 6460*lu1^4)*Pi*(-((-3 + 19*lu1)*Sqrt[30*Pi]) + 24*cap*(1 - 3*lu1)* f22n[t] - 12*mar*f22n[t] + 156*lu1*mar*f22n[t] - 3*sc*g22[t] + 13*lu1*sc*g22[t] + 38*lu1^2*sc*g22[t] - 6*mar*g22n[t] - 42*lu1*mar*g22n[t]) + 22022*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (6*cap*(15*(-1 + 5*lu1)*(-3 + 13*lu1 + 38*lu1^2)^2*f40[t]*g22n[t] + 2*f22n[t]*((538 - 4033*lu1 - 22920*lu1^2 - 299033*lu1^3 + 258812* lu1^4 + 472140*lu1^5)*f40[t] - 2*(-3 + 43*lu1 + 355*lu1^2 - 3847*lu1^3 + 968*lu1^4 + 19380*lu1^5)*g40[t])) + mar*(g22n[t]*(-4*(174 + 5451*lu1 - 101105*lu1^2 - 785149*lu1^3 - 792949*lu1^4 + 1519210*lu1^5)*f40[t] + (27 + 2163*lu1 - 17575*lu1^2 - 6947*lu1^3 + 136168*lu1^4 + 125780*lu1^5)*g40[t]) + f22n[t]*(2*(-1623 + 43923*lu1 - 284125* lu1^2 - 1170407*lu1^3 - 5663252*lu1^4 + 587420*lu1^5)* f40[t] - (387 + 11583*lu1 - 128215*lu1^2 + 99913*lu1^3 + 909928* lu1^4 + 221540*lu1^5)*g40[t]))) + (-1 + 17*lu1)*Sqrt[3*Pi]* (70785*Sqrt[10]*(522 - 1041*lu1 - 39248*lu1^2 + 206091*lu1^3 - 289112*lu1^4 - 126972*lu1^5 + 112480*lu1^6)*f20[t]^2 - 330330*Sqrt[10]*(-198 + 2139*lu1 + 30182*lu1^2 - 155149*lu1^3 - 453722*lu1^4 - 16412*lu1^5 + 139080*lu1^6)*f22[t]^2 + 38223900*Sqrt[10]*f22n[t]^2 + 465057450*Sqrt[10]*lu1*f22n[t]^2 + 1206176400*Sqrt[10]*lu1^2*f22n[t]^2 - 11353206150*Sqrt[10]*lu1^3* f22n[t]^2 - 153985689000*Sqrt[10]*lu1^4*f22n[t]^2 - 21487494600*Sqrt[10]*lu1^5*f22n[t]^2 + 50568804000*Sqrt[10]*lu1^6* f22n[t]^2 - 3963960*Sqrt[10*Pi]*f40[t] - 90510420*lu1*Sqrt[10*Pi]* f40[t] - 173533360*lu1^2*Sqrt[10*Pi]*f40[t] + 4279094820*lu1^3*Sqrt[10*Pi]*f40[t] + 9301652360*lu1^4*Sqrt[10*Pi]* f40[t] - 2642640*lu1^5*Sqrt[10*Pi]*f40[t] - 2845242400*lu1^6* Sqrt[10*Pi]*f40[t] + 344525940*Sqrt[10]*f40[t]^2 - 2252010070*Sqrt[10]*lu1*f40[t]^2 + 2239146090*Sqrt[10]*lu1^2* f40[t]^2 + 45395051670*Sqrt[10]*lu1^3*f40[t]^2 + 3850779910*Sqrt[10]*lu1^4*f40[t]^2 - 82261201940*Sqrt[10]*lu1^5* f40[t]^2 + 34418570000*Sqrt[10]*lu1^6*f40[t]^2 + 113467200*Sqrt[10]*f42[t]^2 - 4388020280*Sqrt[10]*lu1*f42[t]^2 - 17807535060*Sqrt[10]*lu1^2*f42[t]^2 + 232472684920*Sqrt[10]*lu1^3* f42[t]^2 + 241434036060*Sqrt[10]*lu1^4*f42[t]^2 - 447782646920*Sqrt[10]*lu1^5*f42[t]^2 + 135722052480*Sqrt[10]*lu1^6* f42[t]^2 - 282547980*Sqrt[30]*f22n[t]*f42n[t] - 3921870810*Sqrt[30]*lu1*f22n[t]*f42n[t] - 17941274780*Sqrt[30]*lu1^2* f22n[t]*f42n[t] + 68555511310*Sqrt[30]*lu1^3*f22n[t]*f42n[t] + 31011817980*Sqrt[30]*lu1^4*f22n[t]*f42n[t] - 21133804120*Sqrt[30]* lu1^5*f22n[t]*f42n[t] - 4507188400*Sqrt[30]*lu1^6*f22n[t]*f42n[t] + 1516891200*Sqrt[10]*f42n[t]^2 + 11760346720*Sqrt[10]*lu1*f42n[t]^2 + 110461236240*Sqrt[10]*lu1^2*f42n[t]^2 + 152519429320*Sqrt[10]*lu1^3* f42n[t]^2 - 275248461240*Sqrt[10]*lu1^4*f42n[t]^2 - 89714964320*Sqrt[10]*lu1^5*f42n[t]^2 + 87309629280*Sqrt[10]*lu1^6* f42n[t]^2 + 39639600*Sqrt[7*Pi]*f44[t] + 905104200*lu1*Sqrt[7*Pi]* f44[t] + 1735333600*lu1^2*Sqrt[7*Pi]*f44[t] - 42790948200*lu1^3*Sqrt[7*Pi]*f44[t] - 93016523600*lu1^4*Sqrt[7*Pi]* f44[t] + 26426400*lu1^5*Sqrt[7*Pi]*f44[t] + 28452424000*lu1^6* Sqrt[7*Pi]*f44[t] - 935616000*Sqrt[7]*f40[t]*f44[t] - 10765578000*Sqrt[7]*lu1*f40[t]*f44[t] - 85512514200*Sqrt[7]*lu1^2* f40[t]*f44[t] + 53302170400*Sqrt[7]*lu1^3*f40[t]*f44[t] + 344454998200*Sqrt[7]*lu1^4*f40[t]*f44[t] - 238711788400*Sqrt[7]* lu1^5*f40[t]*f44[t] + 32274948800*Sqrt[7]*lu1^6*f40[t]*f44[t] + 1942053960*Sqrt[10]*f44[t]^2 + 36869175700*Sqrt[10]*lu1*f44[t]^2 + 240282537180*Sqrt[10]*lu1^2*f44[t]^2 + 454972182140*Sqrt[10]*lu1^3* f44[t]^2 - 366297528380*Sqrt[10]*lu1^4*f44[t]^2 - 390458580120*Sqrt[10]*lu1^5*f44[t]^2 + 213731984480*Sqrt[10]*lu1^6* f44[t]^2 + 1942053960*Sqrt[10]*f44n[t]^2 + 36869175700*Sqrt[10]*lu1* f44n[t]^2 + 240282537180*Sqrt[10]*lu1^2*f44n[t]^2 + 454972182140*Sqrt[10]*lu1^3*f44n[t]^2 - 366297528380*Sqrt[10]*lu1^4* f44n[t]^2 - 390458580120*Sqrt[10]*lu1^5*f44n[t]^2 + 213731984480*Sqrt[10]*lu1^6*f44n[t]^2 - 4459455*Sqrt[2*Pi]*g20[t] - 8918910*lu1*Sqrt[2*Pi]*g20[t] + 411756345*lu1^2*Sqrt[2*Pi]*g20[t] + 79939860*lu1^3*Sqrt[2*Pi]*g20[t] - 5742456720*lu1^4*Sqrt[2*Pi]* g20[t] - 10895604720*lu1^5*Sqrt[2*Pi]*g20[t] - 4769965200*lu1^6*Sqrt[2*Pi]*g20[t] + 49163400*Sqrt[2]*f40[t]* g20[t] - 211668600*Sqrt[2]*lu1*f40[t]*g20[t] - 1819653550*Sqrt[2]*lu1^2*f40[t]*g20[t] + 3439464600*Sqrt[2]*lu1^3* f40[t]*g20[t] + 23616142550*Sqrt[2]*lu1^4*f40[t]*g20[t] + 16615942200*Sqrt[2]*lu1^5*f40[t]*g20[t] - 14522365000*Sqrt[2]*lu1^6* f40[t]*g20[t] + 51480*Sqrt[35]*f44[t]*g20[t] - 24410100*Sqrt[35]*lu1*f44[t]*g20[t] - 741469300*Sqrt[35]*lu1^2* f44[t]*g20[t] + 3234273900*Sqrt[35]*lu1^3*f44[t]*g20[t] + 14485370900*Sqrt[35]*lu1^4*f44[t]*g20[t] + 6803871360*Sqrt[35]*lu1^5* f44[t]*g20[t] - 7380458800*Sqrt[35]*lu1^6*f44[t]*g20[t] + 16396380*Sqrt[30]*f42[t]*g22[t] - 74624550*Sqrt[30]*lu1*f42[t]* g22[t] - 730129400*Sqrt[30]*lu1^2*f42[t]*g22[t] + 1685533850*Sqrt[30]*lu1^3*f42[t]*g22[t] + 10286276000*Sqrt[30]*lu1^4* f42[t]*g22[t] + 6672625960*Sqrt[30]*lu1^5*f42[t]*g22[t] - 6070864800*Sqrt[30]*lu1^6*f42[t]*g22[t] + 2002*Sqrt[10]* (6 - 29*lu1 - 63*lu1^2 + 38*lu1^3)*f22[t]* (5*Sqrt[3]*(129 + 12493*lu1 - 1654*lu1^2 + 10152*lu1^3)*f42[t] + 231*(-9 - 57*lu1 + 470*lu1^2 + 1476*lu1^3 + 760*lu1^4)*g22[t]) - 7644780*Sqrt[10]*f22n[t]*g22n[t] + 3822390*Sqrt[10]*lu1*f22n[t]* g22n[t] + 705868020*Sqrt[10]*lu1^2*f22n[t]*g22n[t] - 1627630290*Sqrt[10]*lu1^3*f22n[t]*g22n[t] - 6657470820*Sqrt[10]* lu1^4*f22n[t]*g22n[t] - 441132120*Sqrt[10]*lu1^5*f22n[t]*g22n[t] + 2044270800*Sqrt[10]*lu1^6*f22n[t]*g22n[t] + 16344900*Sqrt[30]* f42n[t]*g22n[t] - 50214450*Sqrt[30]*lu1*f42n[t]*g22n[t] + 11339900*Sqrt[30]*lu1^2*f42n[t]*g22n[t] - 1548740050*Sqrt[30]*lu1^3* f42n[t]*g22n[t] - 4199094900*Sqrt[30]*lu1^4*f42n[t]*g22n[t] - 131245400*Sqrt[30]*lu1^5*f42n[t]*g22n[t] + 1309594000*Sqrt[30]*lu1^6* f42n[t]*g22n[t] - 594594*Sqrt[10*Pi]*g40[t] - 1189188*lu1*Sqrt[10*Pi]*g40[t] + 54900846*lu1^2*Sqrt[10*Pi]*g40[t] + 10658648*lu1^3*Sqrt[10*Pi]*g40[t] - 765660896*lu1^4*Sqrt[10*Pi]* g40[t] - 1452747296*lu1^5*Sqrt[10*Pi]*g40[t] - 635995360*lu1^6*Sqrt[10*Pi]*g40[t] - 10567440*Sqrt[10]*f40[t]* g40[t] + 41783820*Sqrt[10]*lu1*f40[t]*g40[t] + 592475910*Sqrt[10]*lu1^2*f40[t]*g40[t] - 1283981920*Sqrt[10]*lu1^3* f40[t]*g40[t] - 8488799410*Sqrt[10]*lu1^4*f40[t]*g40[t] - 5589039560*Sqrt[10]*lu1^5*f40[t]*g40[t] + 5039047000*Sqrt[10]*lu1^6* f40[t]*g40[t] - 10132200*Sqrt[7]*f44[t]*g40[t] - 80928900*Sqrt[7]*lu1*f44[t]*g40[t] + 975224900*Sqrt[7]*lu1^2*f44[t]* g40[t] + 1357575700*Sqrt[7]*lu1^3*f44[t]*g40[t] - 9261879900*Sqrt[7]*lu1^4*f44[t]*g40[t] - 11310301600*Sqrt[7]*lu1^5* f44[t]*g40[t] + 7742659600*Sqrt[7]*lu1^6*f44[t]*g40[t] - 36232560*Sqrt[10]*f42[t]*g42[t] - 15746640*Sqrt[10]*lu1*f42[t]* g42[t] + 3269402500*Sqrt[10]*lu1^2*f42[t]*g42[t] - 3323229000*Sqrt[10]*lu1^3*f42[t]*g42[t] - 43154138300*Sqrt[10]*lu1^4* f42[t]*g42[t] - 33813845520*Sqrt[10]*lu1^5*f42[t]*g42[t] + 27907581520*Sqrt[10]*lu1^6*f42[t]*g42[t] - 5096520*Sqrt[30]*f22n[t]* g42n[t] + 2548260*Sqrt[30]*lu1*f22n[t]*g42n[t] + 470578680*Sqrt[30]*lu1^2*f22n[t]*g42n[t] - 1085086860*Sqrt[30]*lu1^3* f22n[t]*g42n[t] - 4438313880*Sqrt[30]*lu1^4*f22n[t]*g42n[t] - 294088080*Sqrt[30]*lu1^5*f22n[t]*g42n[t] + 1362847200*Sqrt[30]*lu1^6* f22n[t]*g42n[t] - 5835960*Sqrt[10]*f42n[t]*g42n[t] + 227040060*Sqrt[10]*lu1*f42n[t]*g42n[t] + 343727800*Sqrt[10]*lu1^2* f42n[t]*g42n[t] - 7395956100*Sqrt[10]*lu1^3*f42n[t]*g42n[t] - 15368498600*Sqrt[10]*lu1^4*f42n[t]*g42n[t] + 117059280*Sqrt[10]* lu1^5*f42n[t]*g42n[t] + 4679602720*Sqrt[10]*lu1^6*f42n[t]*g42n[t] + 5945940*Sqrt[7*Pi]*g44[t] + 11891880*lu1*Sqrt[7*Pi]*g44[t] - 549008460*lu1^2*Sqrt[7*Pi]*g44[t] - 106586480*lu1^3*Sqrt[7*Pi]* g44[t] + 7656608960*lu1^4*Sqrt[7*Pi]*g44[t] + 14527472960*lu1^5*Sqrt[7*Pi]*g44[t] + 6359953600*lu1^6*Sqrt[7*Pi]* g44[t] - 10132200*Sqrt[7]*f40[t]*g44[t] - 80928900*Sqrt[7]*lu1* f40[t]*g44[t] + 975224900*Sqrt[7]*lu1^2*f40[t]*g44[t] + 1357575700*Sqrt[7]*lu1^3*f40[t]*g44[t] - 9261879900*Sqrt[7]*lu1^4* f40[t]*g44[t] - 11310301600*Sqrt[7]*lu1^5*f40[t]*g44[t] + 7742659600*Sqrt[7]*lu1^6*f40[t]*g44[t] - 4520880*Sqrt[10]*f44[t]* g44[t] + 301370160*Sqrt[10]*lu1*f44[t]*g44[t] + 2111045300*Sqrt[10]*lu1^2*f44[t]*g44[t] - 15906599800*Sqrt[10]*lu1^3* f44[t]*g44[t] - 51293469500*Sqrt[10]*lu1^4*f44[t]*g44[t] - 15762852560*Sqrt[10]*lu1^5*f44[t]*g44[t] + 22551831120*Sqrt[10]* lu1^6*f44[t]*g44[t] - 715*(-2 + lu1)*f20[t]* (-6*lu1*(27935*Sqrt[2]*f40[t] - 557098*Sqrt[35]*f44[t]) + lu1^2*(-13013068*Sqrt[2]*f40[t] + 11555204*Sqrt[35]*f44[t] - 82269*(42*Sqrt[2*Pi] - 3*Sqrt[10]*g20[t] - 2*Sqrt[2]*g40[t] + 4* Sqrt[35]*g44[t])) + 9*(-9472*Sqrt[2]*f40[t] + 22556*Sqrt[35]*f44[t] + 99*(42*Sqrt[2*Pi] - 3*Sqrt[10]*g20[t] - 2*Sqrt[2]*g40[t] + 4*Sqrt[35]*g44[t])) + 44*lu1^4*(424166*Sqrt[2]*f40[t] - 980296*Sqrt[35]*f44[t] + 19323*(42*Sqrt[2*Pi] - 3*Sqrt[10]*g20[t] - 2*Sqrt[2]*g40[t] + 4* Sqrt[35]*g44[t])) + 8*lu1^5*(-1293785*Sqrt[2]*f40[t] - 1463078*Sqrt[35]*f44[t] + 59565*(42*Sqrt[2*Pi] - 3*Sqrt[10]* g20[t] - 2*Sqrt[2]*g40[t] + 4*Sqrt[35]*g44[t])) + lu1^3*(5681542*Sqrt[2]*f40[t] - 46876268*Sqrt[35]*f44[t] + 148566*(42*Sqrt[2*Pi] - 3*Sqrt[10]*g20[t] - 2*Sqrt[2]*g40[t] + 4* Sqrt[35]*g44[t]))) - 4520880*Sqrt[10]*f44n[t]*g44n[t] + 301370160*Sqrt[10]*lu1*f44n[t]*g44n[t] + 2111045300*Sqrt[10]*lu1^2* f44n[t]*g44n[t] - 15906599800*Sqrt[10]*lu1^3*f44n[t]*g44n[t] - 51293469500*Sqrt[10]*lu1^4*f44n[t]*g44n[t] - 15762852560*Sqrt[10]* lu1^5*f44n[t]*g44n[t] + 22551831120*Sqrt[10]*lu1^6*f44n[t]* g44n[t]) + 2002*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (6*cap*(-11836*Sqrt[70]*f22n[t]*f44[t] + 88726*Sqrt[70]*lu1*f22n[t]* f44[t] + 504240*Sqrt[70]*lu1^2*f22n[t]*f44[t] + 6578726*Sqrt[70]*lu1^3*f22n[t]*f44[t] - 5693864*Sqrt[70]*lu1^4* f22n[t]*f44[t] - 10387080*Sqrt[70]*lu1^5*f22n[t]*f44[t] + 14940*Sqrt[210]*f42n[t]*f44[t] - 91668*Sqrt[210]*lu1*f42n[t]* f44[t] + 248352*Sqrt[210]*lu1^2*f42n[t]*f44[t] - 1107276*Sqrt[210]*lu1^3*f42n[t]*f44[t] - 3814404*Sqrt[210]*lu1^4* f42n[t]*f44[t] + 731880*Sqrt[210]*lu1^5*f42n[t]*f44[t] + 11836*Sqrt[70]*f22[t]*f44n[t] - 88726*Sqrt[70]*lu1*f22[t]* f44n[t] - 504240*Sqrt[70]*lu1^2*f22[t]*f44n[t] - 6578726*Sqrt[70]*lu1^3*f22[t]*f44n[t] + 5693864*Sqrt[70]*lu1^4* f22[t]*f44n[t] + 10387080*Sqrt[70]*lu1^5*f22[t]*f44n[t] - 14940*Sqrt[210]*f42[t]*f44n[t] + 91668*Sqrt[210]*lu1*f42[t]* f44n[t] - 248352*Sqrt[210]*lu1^2*f42[t]*f44n[t] + 1107276*Sqrt[210]*lu1^3*f42[t]*f44n[t] + 3814404*Sqrt[210]*lu1^4* f42[t]*f44n[t] - 731880*Sqrt[210]*lu1^5*f42[t]*f44n[t] + 198*Sqrt[5]*f22n[t]*g20[t] - 2838*Sqrt[5]*lu1*f22n[t]*g20[t] - 23430*Sqrt[5]*lu1^2*f22n[t]*g20[t] + 253902*Sqrt[5]*lu1^3*f22n[t]* g20[t] - 63888*Sqrt[5]*lu1^4*f22n[t]*g20[t] - 1279080*Sqrt[5]*lu1^5*f22n[t]*g20[t] - 1485*Sqrt[15]*f42n[t]* g20[t] + 20295*Sqrt[15]*lu1*f42n[t]*g20[t] - 54615*Sqrt[15]*lu1^2* f42n[t]*g20[t] - 211695*Sqrt[15]*lu1^3*f42n[t]*g20[t] + 576840*Sqrt[15]*lu1^4*f42n[t]*g20[t] + 1191300*Sqrt[15]*lu1^5* f42n[t]*g20[t] - 1485*Sqrt[70]*f44n[t]*g22[t] + 20295*Sqrt[70]*lu1*f44n[t]*g22[t] - 54615*Sqrt[70]*lu1^2*f44n[t]* g22[t] - 211695*Sqrt[70]*lu1^3*f44n[t]*g22[t] + 576840*Sqrt[70]*lu1^4*f44n[t]*g22[t] + 1191300*Sqrt[70]*lu1^5* f44n[t]*g22[t] + 1485*Sqrt[70]*f44[t]*g22n[t] - 20295*Sqrt[70]*lu1*f44[t]*g22n[t] + 54615*Sqrt[70]*lu1^2*f44[t]* g22n[t] + 211695*Sqrt[70]*lu1^3*f44[t]*g22n[t] - 576840*Sqrt[70]*lu1^4*f44[t]*g22n[t] - 1191300*Sqrt[70]*lu1^5* f44[t]*g22n[t] + 1215*Sqrt[3]*f42n[t]*g40[t] - 16605*Sqrt[3]*lu1*f42n[t]*g40[t] + 44685*Sqrt[3]*lu1^2*f42n[t]* g40[t] + 173205*Sqrt[3]*lu1^3*f42n[t]*g40[t] - 471960*Sqrt[3]*lu1^4*f42n[t]*g40[t] - 974700*Sqrt[3]*lu1^5*f42n[t]* g40[t] + 81*Sqrt[210]*f44n[t]*g42[t] - 1107*Sqrt[210]*lu1*f44n[t]* g42[t] + 2979*Sqrt[210]*lu1^2*f44n[t]*g42[t] + 11547*Sqrt[210]*lu1^3*f44n[t]*g42[t] - 31464*Sqrt[210]*lu1^4* f44n[t]*g42[t] - 64980*Sqrt[210]*lu1^5*f44n[t]*g42[t] - 81*Sqrt[210]*f44[t]*g42n[t] + 1107*Sqrt[210]*lu1*f44[t]*g42n[t] - 2979*Sqrt[210]*lu1^2*f44[t]*g42n[t] - 11547*Sqrt[210]*lu1^3*f44[t]* g42n[t] + 31464*Sqrt[210]*lu1^4*f44[t]*g42n[t] + 64980*Sqrt[210]*lu1^5*f44[t]*g42n[t] - 45*Sqrt[3]* (-3 + 13*lu1 + 38*lu1^2)*f40[t]*(4*(-415 + 748*lu1 - 8914*lu1^2 + 1605*lu1^3)*f42n[t] + 3*(3 - 28*lu1 + 27*lu1^2 + 190*lu1^3)* g42n[t]) + 22*Sqrt[5]*f20[t]*(30*(-15 + 157*lu1 + 1969*lu1^2 - 7333*lu1^3 + 36974*lu1^4 + 2040*lu1^5)*f22n[t] + Sqrt[3]*(538 - 4033*lu1 - 22920*lu1^2 - 299033*lu1^3 + 258812* lu1^4 + 472140*lu1^5)*f42n[t] - (-3 + 43*lu1 + 355*lu1^2 - 3847*lu1^3 + 968*lu1^4 + 19380*lu1^5)*(3*g22n[t] + 2*Sqrt[3]* g42n[t])) - 132*Sqrt[70]*f22n[t]*g44[t] + 1892*Sqrt[70]*lu1* f22n[t]*g44[t] + 15620*Sqrt[70]*lu1^2*f22n[t]*g44[t] - 169268*Sqrt[70]*lu1^3*f22n[t]*g44[t] + 42592*Sqrt[70]*lu1^4* f22n[t]*g44[t] + 852720*Sqrt[70]*lu1^5*f22n[t]*g44[t] - 81*Sqrt[210]*f42n[t]*g44[t] + 1107*Sqrt[210]*lu1*f42n[t]*g44[t] - 2979*Sqrt[210]*lu1^2*f42n[t]*g44[t] - 11547*Sqrt[210]*lu1^3* f42n[t]*g44[t] + 31464*Sqrt[210]*lu1^4*f42n[t]*g44[t] + 64980*Sqrt[210]*lu1^5*f42n[t]*g44[t] + 132*Sqrt[70]*f22[t]* g44n[t] - 1892*Sqrt[70]*lu1*f22[t]*g44n[t] - 15620*Sqrt[70]*lu1^2* f22[t]*g44n[t] + 169268*Sqrt[70]*lu1^3*f22[t]*g44n[t] - 42592*Sqrt[70]*lu1^4*f22[t]*g44n[t] - 852720*Sqrt[70]*lu1^5*f22[t]* g44n[t] + 81*Sqrt[210]*f42[t]*g44n[t] - 1107*Sqrt[210]*lu1*f42[t]* g44n[t] + 2979*Sqrt[210]*lu1^2*f42[t]*g44n[t] + 11547*Sqrt[210]*lu1^3*f42[t]*g44n[t] - 31464*Sqrt[210]*lu1^4* f42[t]*g44n[t] - 64980*Sqrt[210]*lu1^5*f42[t]*g44n[t]) + mar*(35706*Sqrt[70]*f22n[t]*f44[t] - 966306*Sqrt[70]*lu1*f22n[t]* f44[t] + 6250750*Sqrt[70]*lu1^2*f22n[t]*f44[t] + 25748954*Sqrt[70]*lu1^3*f22n[t]*f44[t] + 124591544*Sqrt[70]*lu1^4* f22n[t]*f44[t] - 12923240*Sqrt[70]*lu1^5*f22n[t]*f44[t] - 68958*Sqrt[210]*f42n[t]*f44[t] + 1088154*Sqrt[210]*lu1*f42n[t]* f44[t] - 4423434*Sqrt[210]*lu1^2*f42n[t]*f44[t] - 1326090*Sqrt[210]*lu1^3*f42n[t]*f44[t] + 21424416*Sqrt[210]*lu1^4* f42n[t]*f44[t] - 6851400*Sqrt[210]*lu1^5*f42n[t]*f44[t] - 35706*Sqrt[70]*f22[t]*f44n[t] + 966306*Sqrt[70]*lu1*f22[t]* f44n[t] - 6250750*Sqrt[70]*lu1^2*f22[t]*f44n[t] - 25748954*Sqrt[70]*lu1^3*f22[t]*f44n[t] - 124591544*Sqrt[70]*lu1^4* f22[t]*f44n[t] + 12923240*Sqrt[70]*lu1^5*f22[t]*f44n[t] + 68958*Sqrt[210]*f42[t]*f44n[t] - 1088154*Sqrt[210]*lu1*f42[t]* f44n[t] + 4423434*Sqrt[210]*lu1^2*f42[t]*f44n[t] + 1326090*Sqrt[210]*lu1^3*f42[t]*f44n[t] - 21424416*Sqrt[210]*lu1^4* f42[t]*f44n[t] + 6851400*Sqrt[210]*lu1^5*f42[t]*f44n[t] + 12771*Sqrt[5]*f22n[t]*g20[t] + 14949*Sqrt[5]*lu1*f22n[t]*g20[t] - 3060585*Sqrt[5]*lu1^2*f22n[t]*g20[t] - 16887321*Sqrt[5]*lu1^3* f22n[t]*g20[t] + 28880874*Sqrt[5]*lu1^4*f22n[t]*g20[t] + 44565840*Sqrt[5]*lu1^5*f22n[t]*g20[t] - 7656*Sqrt[15]*f42n[t]* g20[t] - 239844*Sqrt[15]*lu1*f42n[t]*g20[t] + 4448620*Sqrt[15]* lu1^2*f42n[t]*g20[t] + 34546556*Sqrt[15]*lu1^3*f42n[t]*g20[t] + 34889756*Sqrt[15]*lu1^4*f42n[t]*g20[t] - 66845240*Sqrt[15]*lu1^5* f42n[t]*g20[t] - 7656*Sqrt[70]*f44n[t]*g22[t] - 239844*Sqrt[70]*lu1*f44n[t]*g22[t] + 4448620*Sqrt[70]*lu1^2* f44n[t]*g22[t] + 34546556*Sqrt[70]*lu1^3*f44n[t]*g22[t] + 34889756*Sqrt[70]*lu1^4*f44n[t]*g22[t] - 66845240*Sqrt[70]*lu1^5* f44n[t]*g22[t] + 7656*Sqrt[70]*f44[t]*g22n[t] + 239844*Sqrt[70]*lu1*f44[t]*g22n[t] - 4448620*Sqrt[70]*lu1^2*f44[t]* g22n[t] - 34546556*Sqrt[70]*lu1^3*f44[t]*g22n[t] - 34889756*Sqrt[70]*lu1^4*f44[t]*g22n[t] + 66845240*Sqrt[70]*lu1^5* f44[t]*g22n[t] - 594*Sqrt[5]*g20[t]*g22n[t] + 2574*Sqrt[5]*lu1* g20[t]*g22n[t] + 137610*Sqrt[5]*lu1^2*g20[t]*g22n[t] + 143154*Sqrt[5]*lu1^3*g20[t]*g22n[t] - 4710816*Sqrt[5]*lu1^4*g20[t]* g22n[t] - 8953560*Sqrt[5]*lu1^5*g20[t]*g22n[t] + 74925*Sqrt[3]*f42n[t]*g40[t] + 2138535*Sqrt[3]*lu1*f42n[t]* g40[t] - 12550815*Sqrt[3]*lu1^2*f42n[t]*g40[t] - 32056155*Sqrt[3]*lu1^3*f42n[t]*g40[t] + 32883030*Sqrt[3]*lu1^4* f42n[t]*g40[t] + 61765200*Sqrt[3]*lu1^5*f42n[t]*g40[t] + 4995*Sqrt[210]*f44n[t]*g42[t] + 142569*Sqrt[210]*lu1*f44n[t]* g42[t] - 836721*Sqrt[210]*lu1^2*f44n[t]*g42[t] - 2137077*Sqrt[210]*lu1^3*f44n[t]*g42[t] + 2192202*Sqrt[210]*lu1^4* f44n[t]*g42[t] + 4117680*Sqrt[210]*lu1^5*f44n[t]*g42[t] - 4995*Sqrt[210]*f44[t]*g42n[t] - 142569*Sqrt[210]*lu1*f44[t]* g42n[t] + 836721*Sqrt[210]*lu1^2*f44[t]*g42n[t] + 2137077*Sqrt[210]*lu1^3*f44[t]*g42n[t] - 2192202*Sqrt[210]*lu1^4* f44[t]*g42n[t] - 4117680*Sqrt[210]*lu1^5*f44[t]*g42n[t] + 297*Sqrt[15]*g20[t]*g42n[t] + 23793*Sqrt[15]*lu1*g20[t]*g42n[t] - 193325*Sqrt[15]*lu1^2*g20[t]*g42n[t] - 76417*Sqrt[15]*lu1^3*g20[t]* g42n[t] + 1497848*Sqrt[15]*lu1^4*g20[t]*g42n[t] + 1383580*Sqrt[15]*lu1^5*g20[t]*g42n[t] - 810*Sqrt[3]*g40[t]* g42n[t] - 37530*Sqrt[3]*lu1*g40[t]*g42n[t] + 391410*Sqrt[3]*lu1^2* g40[t]*g42n[t] + 203130*Sqrt[3]*lu1^3*g40[t]*g42n[t] - 5020560*Sqrt[3]*lu1^4*g40[t]*g42n[t] - 7147800*Sqrt[3]*lu1^5* g40[t]*g42n[t] - 11*Sqrt[5]*f20[t]* (90*(-9 + 643*lu1 - 3807*lu1^2 - 90107*lu1^3 + 220212*lu1^4 + 75820*lu1^5)*f22n[t] + 2*Sqrt[3]*(1623 - 43923*lu1 + 284125* lu1^2 + 1170407*lu1^3 + 5663252*lu1^4 - 587420*lu1^5)* f42n[t] - 1161*g22n[t] - 1359*lu1*g22n[t] + 278235*lu1^2* g22n[t] + 1535211*lu1^3*g22n[t] - 2625534*lu1^4*g22n[t] - 4051440*lu1^5*g22n[t] + 387*Sqrt[3]*g42n[t] + 11583*Sqrt[3]*lu1* g42n[t] - 128215*Sqrt[3]*lu1^2*g42n[t] + 99913*Sqrt[3]*lu1^3* g42n[t] + 909928*Sqrt[3]*lu1^4*g42n[t] + 221540*Sqrt[3]*lu1^5* g42n[t]) + 45*Sqrt[3]*(-3 + 13*lu1 + 38*lu1^2)*f40[t]* ((-7662 + 87704*lu1 - 208494*lu1^2 + 60100*lu1^3)*f42n[t] + 3*(-185 - 6082*lu1 + 2291*lu1^2 + 12040*lu1^3)*g42n[t]) + 4257*Sqrt[70]*f22n[t]*g44[t] + 127413*Sqrt[70]*lu1*f22n[t]* g44[t] - 1410365*Sqrt[70]*lu1^2*f22n[t]*g44[t] + 1099043*Sqrt[70]*lu1^3*f22n[t]*g44[t] + 10009208*Sqrt[70]*lu1^4* f22n[t]*g44[t] + 2436940*Sqrt[70]*lu1^5*f22n[t]*g44[t] - 4995*Sqrt[210]*f42n[t]*g44[t] - 142569*Sqrt[210]*lu1*f42n[t]* g44[t] + 836721*Sqrt[210]*lu1^2*f42n[t]*g44[t] + 2137077*Sqrt[210]*lu1^3*f42n[t]*g44[t] - 2192202*Sqrt[210]*lu1^4* f42n[t]*g44[t] - 4117680*Sqrt[210]*lu1^5*f42n[t]*g44[t] - 297*Sqrt[70]*g22n[t]*g44[t] - 23793*Sqrt[70]*lu1*g22n[t]*g44[t] + 193325*Sqrt[70]*lu1^2*g22n[t]*g44[t] + 76417*Sqrt[70]*lu1^3* g22n[t]*g44[t] - 1497848*Sqrt[70]*lu1^4*g22n[t]*g44[t] - 1383580*Sqrt[70]*lu1^5*g22n[t]*g44[t] + 54*Sqrt[210]*g42n[t]* g44[t] + 2502*Sqrt[210]*lu1*g42n[t]*g44[t] - 26094*Sqrt[210]* lu1^2*g42n[t]*g44[t] - 13542*Sqrt[210]*lu1^3*g42n[t]*g44[t] + 334704*Sqrt[210]*lu1^4*g42n[t]*g44[t] + 476520*Sqrt[210]*lu1^5* g42n[t]*g44[t] - 4257*Sqrt[70]*f22[t]*g44n[t] - 127413*Sqrt[70]*lu1*f22[t]*g44n[t] + 1410365*Sqrt[70]*lu1^2*f22[t]* g44n[t] - 1099043*Sqrt[70]*lu1^3*f22[t]*g44n[t] - 10009208*Sqrt[70]*lu1^4*f22[t]*g44n[t] - 2436940*Sqrt[70]*lu1^5* f22[t]*g44n[t] + 4995*Sqrt[210]*f42[t]*g44n[t] + 142569*Sqrt[210]*lu1*f42[t]*g44n[t] - 836721*Sqrt[210]*lu1^2* f42[t]*g44n[t] - 2137077*Sqrt[210]*lu1^3*f42[t]*g44n[t] + 2192202*Sqrt[210]*lu1^4*f42[t]*g44n[t] + 4117680*Sqrt[210]*lu1^5* f42[t]*g44n[t] + 297*Sqrt[70]*g22[t]*g44n[t] + 23793*Sqrt[70]*lu1*g22[t]*g44n[t] - 193325*Sqrt[70]*lu1^2*g22[t]* g44n[t] - 76417*Sqrt[70]*lu1^3*g22[t]*g44n[t] + 1497848*Sqrt[70]*lu1^4*g22[t]*g44n[t] + 1383580*Sqrt[70]*lu1^5* g22[t]*g44n[t] - 54*Sqrt[210]*g42[t]*g44n[t] - 2502*Sqrt[210]*lu1*g42[t]*g44n[t] + 26094*Sqrt[210]*lu1^2*g42[t]* g44n[t] + 13542*Sqrt[210]*lu1^3*g42[t]*g44n[t] - 334704*Sqrt[210]*lu1^4*g42[t]*g44n[t] - 476520*Sqrt[210]*lu1^5* g42[t]*g44n[t])))/(462462*(3 - 19*lu1)^2*(1 + 2*lu1)^3* (-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*Pi) - (cap*(429*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f20[t]^2* (66*(-81081 + 1165725*lu1 + 12921312*lu1^2 - 27696346*lu1^3 - 1048529625*lu1^4 - 18912728567*lu1^5 - 26142473510*lu1^6 + 166663921204*lu1^7 - 83777395592*lu1^8 - 115084770400*lu1^9 + 12656459200*lu1^10)*f22n[t] - 5*(-3 + 13*lu1 + 38*lu1^2)* (Sqrt[3]*(640407 - 8539710*lu1 - 144925722*lu1^2 + 689415080*lu1^3 + 213926095*lu1^4 + 55252082694*lu1^5 - 2118604900*lu1^6 + 27247924936*lu1^7 + 28091935200*lu1^8)* f42n[t] + 2*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)* (22*(72 - 519*lu1 - 18287*lu1^2 + 51149*lu1^3 - 226153*lu1^4 + 62410*lu1^5)*g22n[t] - Sqrt[3]*(-2379 + 29123*lu1 + 153239*lu1^2 - 875903*lu1^3 + 4987876*lu1^4 + 1623180*lu1^5)* g42n[t]))) + 6*f20[t]*(-36579322575*Sqrt[42]*f42n[t]*f44[t] + 494978450490*Sqrt[42]*lu1*f42n[t]*f44[t] + 29520239305515*Sqrt[42]* lu1^2*f42n[t]*f44[t] - 64450541192120*Sqrt[42]*lu1^3*f42n[t]* f44[t] - 4212716189029065*Sqrt[42]*lu1^4*f42n[t]*f44[t] - 38547307920881710*Sqrt[42]*lu1^5*f42n[t]*f44[t] + 376974594624674925*Sqrt[42]*lu1^6*f42n[t]*f44[t] + 3375916812507489580*Sqrt[42]*lu1^7*f42n[t]*f44[t] + 4617782056871616960*Sqrt[42]*lu1^8*f42n[t]*f44[t] - 6709443415175180480*Sqrt[42]*lu1^9*f42n[t]*f44[t] - 7356432010227626720*Sqrt[42]*lu1^10*f42n[t]*f44[t] + 10931050443479259040*Sqrt[42]*lu1^11*f42n[t]*f44[t] + 11425819567163892800*Sqrt[42]*lu1^12*f42n[t]*f44[t] + 3214390794460944000*Sqrt[42]*lu1^13*f42n[t]*f44[t] - 28370763135*Sqrt[14]*f22[t]*f44n[t] + 503265268935*Sqrt[14]*lu1* f22[t]*f44n[t] + 23774660465985*Sqrt[14]*lu1^2*f22[t]*f44n[t] - 186781063722825*Sqrt[14]*lu1^3*f22[t]*f44n[t] - 4092286934472165*Sqrt[14]*lu1^4*f22[t]*f44n[t] - 21905288768346555*Sqrt[14]*lu1^5*f22[t]*f44n[t] + 519191064950278435*Sqrt[14]*lu1^6*f22[t]*f44n[t] + 3939358228930054645*Sqrt[14]*lu1^7*f22[t]*f44n[t] + 3067198730569058800*Sqrt[14]*lu1^8*f22[t]*f44n[t] - 2790803177551068680*Sqrt[14]*lu1^9*f22[t]*f44n[t] + 41269034769099280*Sqrt[14]*lu1^10*f22[t]*f44n[t] + 10258776459567372880*Sqrt[14]*lu1^11*f22[t]*f44n[t] + 15589987925499187200*Sqrt[14]*lu1^12*f22[t]*f44n[t] + 6315924816321120000*Sqrt[14]*lu1^13*f22[t]*f44n[t] + 36579322575*Sqrt[42]*f42[t]*f44n[t] - 494978450490*Sqrt[42]*lu1* f42[t]*f44n[t] - 29520239305515*Sqrt[42]*lu1^2*f42[t]*f44n[t] + 64450541192120*Sqrt[42]*lu1^3*f42[t]*f44n[t] + 4212716189029065*Sqrt[42]*lu1^4*f42[t]*f44n[t] + 38547307920881710*Sqrt[42]*lu1^5*f42[t]*f44n[t] - 376974594624674925*Sqrt[42]*lu1^6*f42[t]*f44n[t] - 3375916812507489580*Sqrt[42]*lu1^7*f42[t]*f44n[t] - 4617782056871616960*Sqrt[42]*lu1^8*f42[t]*f44n[t] + 6709443415175180480*Sqrt[42]*lu1^9*f42[t]*f44n[t] + 7356432010227626720*Sqrt[42]*lu1^10*f42[t]*f44n[t] - 10931050443479259040*Sqrt[42]*lu1^11*f42[t]*f44n[t] - 11425819567163892800*Sqrt[42]*lu1^12*f42[t]*f44n[t] - 3214390794460944000*Sqrt[42]*lu1^13*f42[t]*f44n[t] - 251351100*Sqrt[3]*f42n[t]*g20[t] + 3598722270*Sqrt[3]*lu1*f42n[t]* g20[t] + 77607728055*Sqrt[3]*lu1^2*f42n[t]*g20[t] + 1808631904365*Sqrt[3]*lu1^3*f42n[t]*g20[t] + 69028501493380*Sqrt[3]* lu1^4*f42n[t]*g20[t] - 1417117242907080*Sqrt[3]*lu1^5*f42n[t]* g20[t] - 3265691966121585*Sqrt[3]*lu1^6*f42n[t]*g20[t] + 50290871613867885*Sqrt[3]*lu1^7*f42n[t]*g20[t] + 93602681444573730*Sqrt[3]*lu1^8*f42n[t]*g20[t] - 363437972608922640*Sqrt[3]*lu1^9*f42n[t]*g20[t] - 343111962008632960*Sqrt[3]*lu1^10*f42n[t]*g20[t] + 1938065918232958800*Sqrt[3]*lu1^11*f42n[t]*g20[t] + 2879128598134932000*Sqrt[3]*lu1^12*f42n[t]*g20[t] + 831181549358160000*Sqrt[3]*lu1^13*f42n[t]*g20[t] + 1860808950*Sqrt[14]*f44n[t]*g22[t] - 44052523515*Sqrt[14]*lu1* f44n[t]*g22[t] - 982761719940*Sqrt[14]*lu1^2*f44n[t]*g22[t] + 16206318793665*Sqrt[14]*lu1^3*f44n[t]*g22[t] - 134977516013340*Sqrt[14]*lu1^4*f44n[t]*g22[t] + 1599795673731255*Sqrt[14]*lu1^5*f44n[t]*g22[t] + 222010296528020*Sqrt[14]*lu1^6*f44n[t]*g22[t] - 68960448632280205*Sqrt[14]*lu1^7*f44n[t]*g22[t] - 56656457395307770*Sqrt[14]*lu1^8*f44n[t]*g22[t] + 854889294415476320*Sqrt[14]*lu1^9*f44n[t]*g22[t] + 2466797412939619760*Sqrt[14]*lu1^10*f44n[t]*g22[t] + 2467409282217479600*Sqrt[14]*lu1^11*f44n[t]*g22[t] + 859218864131628000*Sqrt[14]*lu1^12*f44n[t]*g22[t] + 36762121796400000*Sqrt[14]*lu1^13*f44n[t]*g22[t] - 1860808950*Sqrt[14]*f44[t]*g22n[t] + 44052523515*Sqrt[14]*lu1* f44[t]*g22n[t] + 982761719940*Sqrt[14]*lu1^2*f44[t]*g22n[t] - 16206318793665*Sqrt[14]*lu1^3*f44[t]*g22n[t] + 134977516013340*Sqrt[14]*lu1^4*f44[t]*g22n[t] - 1599795673731255*Sqrt[14]*lu1^5*f44[t]*g22n[t] - 222010296528020*Sqrt[14]*lu1^6*f44[t]*g22n[t] + 68960448632280205*Sqrt[14]*lu1^7*f44[t]*g22n[t] + 56656457395307770*Sqrt[14]*lu1^8*f44[t]*g22n[t] - 854889294415476320*Sqrt[14]*lu1^9*f44[t]*g22n[t] - 2466797412939619760*Sqrt[14]*lu1^10*f44[t]*g22n[t] - 2467409282217479600*Sqrt[14]*lu1^11*f44[t]*g22n[t] - 859218864131628000*Sqrt[14]*lu1^12*f44[t]*g22n[t] - 36762121796400000*Sqrt[14]*lu1^13*f44[t]*g22n[t] - 197390844*Sqrt[15]*f42n[t]*g40[t] + 8753769765*Sqrt[15]*lu1*f42n[t]* g40[t] - 184943505186*Sqrt[15]*lu1^2*f42n[t]*g40[t] + 255531983061*Sqrt[15]*lu1^3*f42n[t]*g40[t] + 18392215699078* Sqrt[15]*lu1^4*f42n[t]*g40[t] + 89322269966263*Sqrt[15]*lu1^5* f42n[t]*g40[t] - 1497133032451630*Sqrt[15]*lu1^6*f42n[t]*g40[t] - 13144340427861097*Sqrt[15]*lu1^7*f42n[t]*g40[t] + 69163054056170582*Sqrt[15]*lu1^8*f42n[t]*g40[t] + 288957017830053576*Sqrt[15]*lu1^9*f42n[t]*g40[t] - 328111350060937008*Sqrt[15]*lu1^10*f42n[t]*g40[t] - 2016975960723567440*Sqrt[15]*lu1^11*f42n[t]*g40[t] - 2135870243442087200*Sqrt[15]*lu1^12*f42n[t]*g40[t] - 603344828920960000*Sqrt[15]*lu1^13*f42n[t]*g40[t] - 302250690*Sqrt[42]*f44n[t]*g42[t] + 8824524345*Sqrt[42]*lu1*f44n[t]* g42[t] + 25776834930*Sqrt[42]*lu1^2*f44n[t]*g42[t] - 1293072565365*Sqrt[42]*lu1^3*f44n[t]*g42[t] + 10398016219500* Sqrt[42]*lu1^4*f44n[t]*g42[t] - 151191357005745*Sqrt[42]*lu1^5* f44n[t]*g42[t] + 49264263522810*Sqrt[42]*lu1^6*f44n[t]*g42[t] + 7369600873155885*Sqrt[42]*lu1^7*f44n[t]*g42[t] + 6178011576365370*Sqrt[42]*lu1^8*f44n[t]*g42[t] - 99325855946814000*Sqrt[42]*lu1^9*f44n[t]*g42[t] - 300436427256438480*Sqrt[42]*lu1^10*f44n[t]*g42[t] - 310876246045120560*Sqrt[42]*lu1^11*f44n[t]*g42[t] - 103498090914674400*Sqrt[42]*lu1^12*f44n[t]*g42[t] - 54132585360000*Sqrt[42]*lu1^13*f44n[t]*g42[t] + 302250690*Sqrt[42]*f44[t]*g42n[t] - 8824524345*Sqrt[42]*lu1*f44[t]* g42n[t] - 25776834930*Sqrt[42]*lu1^2*f44[t]*g42n[t] + 1293072565365*Sqrt[42]*lu1^3*f44[t]*g42n[t] - 10398016219500* Sqrt[42]*lu1^4*f44[t]*g42n[t] + 151191357005745*Sqrt[42]*lu1^5* f44[t]*g42n[t] - 49264263522810*Sqrt[42]*lu1^6*f44[t]*g42n[t] - 7369600873155885*Sqrt[42]*lu1^7*f44[t]*g42n[t] - 6178011576365370*Sqrt[42]*lu1^8*f44[t]*g42n[t] + 99325855946814000*Sqrt[42]*lu1^9*f44[t]*g42n[t] + 300436427256438480*Sqrt[42]*lu1^10*f44[t]*g42n[t] + 310876246045120560*Sqrt[42]*lu1^11*f44[t]*g42n[t] + 103498090914674400*Sqrt[42]*lu1^12*f44[t]*g42n[t] + 54132585360000*Sqrt[42]*lu1^13*f44[t]*g42n[t] - Sqrt[5]*f40[t]*(Sqrt[3]*(-9384489117 + 241384074390*lu1 + 13981123042377*lu1^2 - 160582544273832*lu1^3 - 9744546503132171*lu1^4 + 14955190004366974*lu1^5 + 475333033115798255*lu1^6 + 3249202227806409204*lu1^7 + 8061915231080556016*lu1^8 - 964935061493024032*lu1^9 - 16625703626435277664*lu1^10 - 2927289910069049760*lu1^11 + 12823573113824491200*lu1^12 + 4943323445023152000*lu1^13)* f42n[t] + (-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)* (143*(37674 - 1104639*lu1 - 45770721*lu1^2 + 980189492*lu1^3 + 18020705116*lu1^4 - 142510522479*lu1^5 - 1115468475049* lu1^6 - 6089760444830*lu1^7 + 9875852586900*lu1^8 + 12357826173000*lu1^9)*g22n[t] + Sqrt[3]*(12036738 - 190240373*lu1 - 14948417427*lu1^2 + 171125129004*lu1^3 + 1346877320392*lu1^4 - 1377441314773*lu1^5 - 128528899537923* lu1^6 - 851674627793610*lu1^7 + 863668057526300*lu1^8 + 1715909841471000*lu1^9)*g42n[t])) - 220132080*Sqrt[42]* f42n[t]*g44[t] + 5824049985*Sqrt[42]*lu1*f42n[t]*g44[t] + 187546066290*Sqrt[42]*lu1^2*f42n[t]*g44[t] - 4109051968935*Sqrt[42]* lu1^3*f42n[t]*g44[t] - 25988381709030*Sqrt[42]*lu1^4*f42n[t]* g44[t] + 445181698859915*Sqrt[42]*lu1^5*f42n[t]*g44[t] + 2710882752332510*Sqrt[42]*lu1^6*f42n[t]*g44[t] - 5263033259547245*Sqrt[42]*lu1^7*f42n[t]*g44[t] - 85613422219977770*Sqrt[42]*lu1^8*f42n[t]*g44[t] - 175459513856339560*Sqrt[42]*lu1^9*f42n[t]*g44[t] - 153020227198201200*Sqrt[42]*lu1^10*f42n[t]*g44[t] - 337256139704987920*Sqrt[42]*lu1^11*f42n[t]*g44[t] - 417680107960269600*Sqrt[42]*lu1^12*f42n[t]*g44[t] - 81654104528416000*Sqrt[42]*lu1^13*f42n[t]*g44[t] + 715*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]* (Sqrt[5]*(3413781 - 38458164*lu1 - 492356565*lu1^2 - 579202326*lu1^3 + 59361156367*lu1^4 + 445930917328*lu1^5 - 439109970995*lu1^6 - 937702275326*lu1^7 + 105128530660*lu1^8 + 418207159000*lu1^9 + 146603966880*lu1^10)*f40[t] + Sqrt[14]*(-4408821 + 41467326*lu1 + 588530007*lu1^2 + 3816529614*lu1^3 - 100810887491*lu1^4 - 652033238342*lu1^5 + 243341897437*lu1^6 + 235974789634*lu1^7 - 301507706012*lu1^8 - 1630756135112*lu1^9 - 956002303200*lu1^10)*f44[t] - (9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*(55*(-171 + 2259*lu1 + 4775*lu1^2 - 51695*lu1^3 + 324148*lu1^4 + 167660*lu1^5)*g20[t] + Sqrt[5]*(69 - 4945*lu1 + 149987*lu1^2 - 253379*lu1^3 + 706120*lu1^4 - 1309020*lu1^5)*g40[t] + Sqrt[14]*(3057 - 30589*lu1 - 454297*lu1^2 + 1590169*lu1^3 - 7827368*lu1^4 + 17460*lu1^5)* g44[t])) - 177046155*Sqrt[14]*f22[t]*g44n[t] + 5135438880*Sqrt[14]*lu1*f22[t]*g44n[t] + 143828678565*Sqrt[14]* lu1^2*f22[t]*g44n[t] - 3765465243540*Sqrt[14]*lu1^3*f22[t]* g44n[t] - 27156826187205*Sqrt[14]*lu1^4*f22[t]*g44n[t] + 627080427035920*Sqrt[14]*lu1^5*f22[t]*g44n[t] + 2001075348407135*Sqrt[14]*lu1^6*f22[t]*g44n[t] - 23518335829151020*Sqrt[14]*lu1^7*f22[t]*g44n[t] + 16998789291589820*Sqrt[14]*lu1^8*f22[t]*g44n[t] - 32900760675056560*Sqrt[14]*lu1^9*f22[t]*g44n[t] - 980994227613640240*Sqrt[14]*lu1^10*f22[t]*g44n[t] - 1629106936146747200*Sqrt[14]*lu1^11*f22[t]*g44n[t] - 664179589798296000*Sqrt[14]*lu1^12*f22[t]*g44n[t] + 1490337969120000*Sqrt[14]*lu1^13*f22[t]*g44n[t] + 220132080*Sqrt[42]*f42[t]*g44n[t] - 5824049985*Sqrt[42]*lu1*f42[t]* g44n[t] - 187546066290*Sqrt[42]*lu1^2*f42[t]*g44n[t] + 4109051968935*Sqrt[42]*lu1^3*f42[t]*g44n[t] + 25988381709030* Sqrt[42]*lu1^4*f42[t]*g44n[t] - 445181698859915*Sqrt[42]*lu1^5* f42[t]*g44n[t] - 2710882752332510*Sqrt[42]*lu1^6*f42[t]*g44n[t] + 5263033259547245*Sqrt[42]*lu1^7*f42[t]*g44n[t] + 85613422219977770*Sqrt[42]*lu1^8*f42[t]*g44n[t] + 175459513856339560*Sqrt[42]*lu1^9*f42[t]*g44n[t] + 153020227198201200*Sqrt[42]*lu1^10*f42[t]*g44n[t] + 337256139704987920*Sqrt[42]*lu1^11*f42[t]*g44n[t] + 417680107960269600*Sqrt[42]*lu1^12*f42[t]*g44n[t] + 81654104528416000*Sqrt[42]*lu1^13*f42[t]*g44n[t]) + 2*(143*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22[t]^2* (198*(-81081 + 1165725*lu1 + 12921312*lu1^2 - 27696346*lu1^3 - 1048529625*lu1^4 - 18912728567*lu1^5 - 26142473510*lu1^6 + 166663921204*lu1^7 - 83777395592*lu1^8 - 115084770400*lu1^9 + 12656459200*lu1^10)*f22n[t] + 5*(3*Sqrt[3]*(2298807 - 16330077*lu1 - 276321204*lu1^2 - 3969949278*lu1^3 + 68145071767*lu1^4 + 389096346959*lu1^5 + 82026095486*lu1^6 + 506114641532*lu1^7 + 264151881464*lu1^8 + 1554042858464* lu1^9 + 993166048000*lu1^10)*f42n[t] + 4*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*( 11*(-351 + 7662*lu1 - 104134*lu1^2 + 99568*lu1^3 + 37669*lu1^4 + 1275170*lu1^5)*g22n[t] - 6*Sqrt[3]* (-453 + 4976*lu1 + 50628*lu1^2 - 205506*lu1^3 + 1067937* lu1^4 + 133810*lu1^5)*g42n[t]))) + f22[t]*(-1430*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)*f22n[t]* (3*Sqrt[3]*(-2110014 + 25137249*lu1 + 312208803*lu1^2 - 153419664*lu1^3 - 32665815724*lu1^4 - 262936891383*lu1^5 + 325367992923*lu1^6 + 742089431166*lu1^7 - 37355824548*lu1^8 - 76713276648*lu1^9 + 37163744800*lu1^10)*f42[t] + 7*(3 - 19*lu1)^2*(1 + 2*lu1)^3*(-81 + 1641*lu1 + 869*lu1^2 - 148989*lu1^3 + 943740*lu1^4 + 695300*lu1^5)*(55*g22[t] - 3*Sqrt[3]*g42[t])) - 3*(10*f42[t]*(3*(-12544184826 + 155443909635*lu1 + 9322449359271*lu1^2 - 4096134912816* lu1^3 - 361700257994378*lu1^4 - 16324639220876513*lu1^5 + 81948843844778315*lu1^6 + 859818526214507442*lu1^7 + 723928867441786858*lu1^8 - 2395424398004064676*lu1^9 - 680449050530950312*lu1^10 + 4465055155063353360*lu1^11 + 2681735698458398400*lu1^12 + 587481117294960000*lu1^13)* f42n[t] + (-9 + 33*lu1 + 140*lu1^2 + 76*lu1^3)* (143*Sqrt[3]*(-29358 + 437043*lu1 + 4617638*lu1^2 + 157973822*lu1^3 + 12501263106*lu1^4 - 94725420533*lu1^5 - 747007967770*lu1^6 - 2876105146212*lu1^7 + 3925018895720* lu1^8 + 15190428496800*lu1^9 + 8351304192000*lu1^10)* g22n[t] - (-16444260 + 785346567*lu1 - 9604710545*lu1^2 - 209309217888*lu1^3 - 9557171586*lu1^4 + 33588322940527* lu1^5 + 18363691665395*lu1^6 + 624015791168178*lu1^7 + 1364499078083028*lu1^8 + 2037202810094120*lu1^9 + 1924018543608000*lu1^10)*g42n[t])) + Sqrt[70]*f40[t]*( 2*(-12544184826 + 155443909635*lu1 + 9322449359271*lu1^2 - 4096134912816*lu1^3 - 361700257994378*lu1^4 - 16324639220876513*lu1^5 + 81948843844778315*lu1^6 + 859818526214507442*lu1^7 + 723928867441786858*lu1^8 - 2395424398004064676*lu1^9 - 680449050530950312*lu1^10 + 4465055155063353360*lu1^11 + 2681735698458398400*lu1^12 + 587481117294960000*lu1^13)*f44n[t] - (-46744614 + 767807235*lu1 + 12237777189*lu1^2 + 316843713786*lu1^3 + 7098049612238*lu1^4 - 209221670709417*lu1^5 - 278805298208815*lu1^6 + 8286643858430028*lu1^7 + 7201597829134482*lu1^8 - 78037303966835504*lu1^9 - 29935319313434688*lu1^10 + 433119902084578560*lu1^11 + 586638542393252000*lu1^12 + 171222667069664000*lu1^13)* g44n[t]) + (-3 + 13*lu1 + 38*lu1^2)*(f44n[t]* (1430*Sqrt[14]*(180117 - 3547701*lu1 - 128866461*lu1^2 + 1377300091*lu1^3 + 7213703581*lu1^4 + 78442299677*lu1^5 - 502046603583*lu1^6 - 12311243218295*lu1^7 - 16716475902142*lu1^8 + 30269598360020*lu1^9 + 57661232373000*lu1^10 + 19836667620000*lu1^11)*g20[t] + Sqrt[70]*(-15581538 + 188415747*lu1 + 4698361152*lu1^2 + 128360735716*lu1^3 + 2981758966774*lu1^4 - 55193698728049* lu1^5 - 294338846978680*lu1^6 + 787626098680442*lu1^7 + 2085286975596796*lu1^8 - 6999593844740120*lu1^9 - 13896378074126000*lu1^10 - 4505859659728000*lu1^11)* g40[t] - 910*(3128706 - 93562569*lu1 - 319134930*lu1^2 + 22055476328*lu1^3 - 168945434*lu1^4 - 720682673725* lu1^5 - 1366526298354*lu1^6 - 114545457218738*lu1^7 - 261603923945468*lu1^8 - 75942982105640*lu1^9 + 127610104291920*lu1^10 + 45069575734400*lu1^11)*g44[t]) + 70*((-3 + 13*lu1 + 38*lu1^2)*f42n[t]*(143*Sqrt[3]*(-21348 + 305007*lu1 + 14025571*lu1^2 - 43523077*lu1^3 + 1102977699*lu1^4 - 15584023934*lu1^5 - 121482649870* lu1^6 - 33338878200*lu1^7 + 195598829400*lu1^8 + 86356116000*lu1^9)*g22[t] + (4575114 - 117717288*lu1 + 173955341*lu1^2 + 11741524049*lu1^3 - 351582673363* lu1^4 + 1712593515559*lu1^5 + 39193992326672*lu1^6 - 11878565524324*lu1^7 - 107273202247360*lu1^8 - 36351661248000*lu1^9)*g42[t]) + 13*(3128706 - 93562569*lu1 - 319134930*lu1^2 + 22055476328*lu1^3 - 168945434*lu1^4 - 720682673725*lu1^5 - 1366526298354* lu1^6 - 114545457218738*lu1^7 - 261603923945468*lu1^8 - 75942982105640*lu1^9 + 127610104291920*lu1^10 + 45069575734400*lu1^11)*f44[t]*g44n[t])))) + 3*(9438*(729729 - 16572600*lu1 - 600159159*lu1^2 + 8682875424*lu1^ 3 + 109174404027*lu1^4 + 15819304192*lu1^5 - 8827026355725*lu1^6 - 146408160022168*lu1^7 - 345699689659912* lu1^8 + 927509991835184*lu1^9 + 940933836670928*lu1^10 - 1584041193068480*lu1^11 - 974205866972800*lu1^12 + 116945683008000*lu1^13)*f22n[t]^3 + 715*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*f22n[t]^2* (5*Sqrt[3]*(434589 - 4730031*lu1 - 56895900*lu1^2 - 206276730*lu1^3 + 9035964701*lu1^4 + 54974032181*lu1^5 - 74563347478*lu1^6 - 15495383068*lu1^7 + 32921157416*lu1^8 + 91883855840*lu1^9)*f42n[t] - 2*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*(33*(-237 + 3419*lu1 - 4233*lu1^2 - 52059*lu1^3 + 389478*lu1^4 + 321040*lu1^5)*g22n[t] - 5*Sqrt[3]*(249 - 2137*lu1 - 50357*lu1^2 + 153629*lu1^3 - 711124*lu1^4 + 110540*lu1^5)*g42n[t])) - f22n[t]*((-24585710247 - 119955240855*lu1 + 215954325372*lu1^2 + 758918062708868*lu1^3 + 10392270276372939*lu1^4 - 143251146305550851*lu1^5 + 6203611136488230*lu1^6 + 1157923880689228994*lu1^7 + 5486103847193254866*lu1^8 + 19086458745200218388*lu1^9 + 31167605651629872056*lu1^10 + 28211056433922903920*lu1^11 + 14240168995586060800*lu1^12 + 610388278956624000*lu1^13)*f40[t]^2 + 2*(66383279244 - 1122122443545*lu1 - 60382517506419*lu1^2 + 631104597737564* lu1^3 + 3541325837195792*lu1^4 + 2301157465828227*lu1^5 - 174054106505940035*lu1^6 - 2471422101220421338*lu1^7 + 7756588138739516018*lu1^8 + 37284918867739711764*lu1^9 + 19985494429442196888*lu1^10 - 10436674716652972720*lu1^11 + 5609856521743364800*lu1^12 + 853862785620096000*lu1^13)* f42[t]^2 - 243558986292*f42n[t]^2 + 2419072401960*lu1*f42n[t]^ 2 + 158908445765292*lu1^2*f42n[t]^2 + 1139325148090648*lu1^ 3*f42n[t]^2 - 3768356065439756*lu1^4*f42n[t]^2 - 485136861694638936*lu1^5*f42n[t]^2 + 2110357102331469380*lu1^ 6*f42n[t]^2 + 20851711583994380584*lu1^7*f42n[t]^2 + 37231042300732637776*lu1^8*f42n[t]^2 + 2707105795357483248*lu1^ 9*f42n[t]^2 + 19557517342955884416*lu1^10*f42n[t]^2 + 113078305218594655360*lu1^11*f42n[t]^2 + 91671783997238681600* lu1^12*f42n[t]^2 + 19332159090088992000*lu1^13*f42n[t]^2 - 274777551342*f44[t]^2 + 3556489029030*lu1*f44[t]^2 + 224150285301012*lu1^2*f44[t]^2 + 184022152273288*lu1^3*f44[t]^ 2 - 61512234568244026*lu1^4*f44[t]^2 - 362756443226684066*lu1^ 5*f44[t]^2 + 4798457613336702280*lu1^6*f44[t]^2 + 38627287898403820924*lu1^7*f44[t]^2 + 84154675952332400156*lu1^ 8*f44[t]^2 + 1708344222407468408*lu1^9*f44[t]^2 - 78835806314593880944*lu1^10*f44[t]^2 + 86584455448053650080*lu1^ 11*f44[t]^2 + 163249751283268832000*lu1^12*f44[t]^2 + 47817137525637984000*lu1^13*f44[t]^2 - 274777551342*f44n[t]^2 + 3556489029030*lu1*f44n[t]^2 + 224150285301012*lu1^2*f44n[t]^2 + 184022152273288*lu1^3*f44n[t]^2 - 61512234568244026*lu1^4* f44n[t]^2 - 362756443226684066*lu1^5*f44n[t]^2 + 4798457613336702280*lu1^6*f44n[t]^2 + 38627287898403820924*lu1^ 7*f44n[t]^2 + 84154675952332400156*lu1^8*f44n[t]^2 + 1708344222407468408*lu1^9*f44n[t]^2 - 78835806314593880944*lu1^ 10*f44n[t]^2 + 86584455448053650080*lu1^11*f44n[t]^2 + 163249751283268832000*lu1^12*f44n[t]^2 + 47817137525637984000* lu1^13*f44n[t]^2 + 772701930*Sqrt[14]*f44[t]*g20[t] - 18568012320*Sqrt[14]*lu1*f44[t]*g20[t] - 496672913880*Sqrt[14]* lu1^2*f44[t]*g20[t] + 8497026972720*Sqrt[14]*lu1^3*f44[t]*g20[ t] + 12345383161540*Sqrt[14]*lu1^4*f44[t]*g20[t] + 127572229098600*Sqrt[14]*lu1^5*f44[t]*g20[t] - 4004014932958040*Sqrt[14]*lu1^6*f44[t]*g20[t] - 47744741610325760*Sqrt[14]*lu1^7*f44[t]*g20[t] + 184433542246615090*Sqrt[14]*lu1^8*f44[t]*g20[t] + 1109608820467455880*Sqrt[14]*lu1^9*f44[t]*g20[t] + 593028153889794480*Sqrt[14]*lu1^10*f44[t]*g20[t] - 2631672980607756800*Sqrt[14]*lu1^11*f44[t]*g20[t] - 3502075018204620000*Sqrt[14]*lu1^12*f44[t]*g20[t] - 1077924518470800000*Sqrt[14]*lu1^13*f44[t]*g20[t] - 3343780440*Sqrt[3]*f42n[t]*g22n[t] + 81094899600*Sqrt[3]*lu1* f42n[t]*g22n[t] + 1920841026390*Sqrt[3]*lu1^2*f42n[t]*g22n[ t] - 34143548958090*Sqrt[3]*lu1^3*f42n[t]*g22n[t] + 117490509473480*Sqrt[3]*lu1^4*f42n[t]*g22n[t] - 1358412375168420*Sqrt[3]*lu1^5*f42n[t]*g22n[t] + 7219800825987750*Sqrt[3]*lu1^6*f42n[t]*g22n[t] + 122079672580896030*Sqrt[3]*lu1^7*f42n[t]*g22n[t] - 232771234098125580*Sqrt[3]*lu1^8*f42n[t]*g22n[t] - 2377038838104627840*Sqrt[3]*lu1^9*f42n[t]*g22n[t] - 3851026114433463680*Sqrt[3]*lu1^10*f42n[t]*g22n[t] - 1073025680968269600*Sqrt[3]*lu1^11*f42n[t]*g22n[t] + 1604389140007368000*Sqrt[3]*lu1^12*f42n[t]*g22n[t] + 834095495993760000*Sqrt[3]*lu1^13*f42n[t]*g22n[t] - 46744614*Sqrt[70]*f44[t]*g40[t] + 767807235*Sqrt[70]*lu1*f44[ t]*g40[t] + 12237777189*Sqrt[70]*lu1^2*f44[t]*g40[t] + 316843713786*Sqrt[70]*lu1^3*f44[t]*g40[t] + 7098049612238*Sqrt[ 70]*lu1^4*f44[t]*g40[t] - 209221670709417*Sqrt[70]*lu1^5*f44[ t]*g40[t] - 278805298208815*Sqrt[70]*lu1^6*f44[t]*g40[t] + 8286643858430028*Sqrt[70]*lu1^7*f44[t]*g40[t] + 7201597829134482*Sqrt[70]*lu1^8*f44[t]*g40[t] - 78037303966835504*Sqrt[70]*lu1^9*f44[t]*g40[t] - 29935319313434688*Sqrt[70]*lu1^10*f44[t]*g40[t] + 433119902084578560*Sqrt[70]*lu1^11*f44[t]*g40[t] + 586638542393252000*Sqrt[70]*lu1^12*f44[t]*g40[t] + 171222667069664000*Sqrt[70]*lu1^13*f44[t]*g40[t] - 70*(-3 + 13*lu1 + 38*lu1^2)^2*f42[t]*(143*Sqrt[3]*(19962 - 314940*lu1 - 12893825*lu1^2 + 74357111*lu1^3 - 986941009* lu1^4 + 5646235381*lu1^5 + 45119428628*lu1^6 + 229311866180*lu1^7 + 311005006800*lu1^8 + 91442736000* lu1^9)*g22[t] - (3043584 - 131053611*lu1 + 1700366227* lu1^2 + 43580313031*lu1^3 - 441605227985*lu1^4 - 7589455856056*lu1^5 - 15658161507806*lu1^6 + 150864700060576*lu1^7 + 295235295944440*lu1^8 + 107913359652000*lu1^9)*g42[t]) + 3319796340*f42n[t]*g42n[ t] - 122215960620*lu1*f42n[t]*g42n[t] + 1407080121480*lu1^ 2*f42n[t]*g42n[t] + 9418031879400*lu1^3*f42n[t]*g42n[t] - 744879825930500*lu1^4*f42n[t]*g42n[t] + 3830821213206740*lu1^ 5*f42n[t]*g42n[t] + 44947663229439600*lu1^6*f42n[t]*g42n[t] - 62852859722875040*lu1^7*f42n[t]*g42n[t] - 1358626977182100200* lu1^8*f42n[t]*g42n[t] - 1676012039330999600*lu1^9*f42n[t]*g42n[ t] + 7940606554432989120*lu1^10*f42n[t]*g42n[t] + 22228597711740375680*lu1^11*f42n[t]*g42n[t] + 19706515395798755200*lu1^12*f42n[t]*g42n[t] + 5771202381534240000*lu1^13*f42n[t]*g42n[t] + 2460700620*f44[ t]*g44[t] - 137834137350*lu1*f44[t]*g44[t] + 4930815145410*lu1^2*f44[t]*g44[t] - 25427411695560*lu1^3*f44[ t]*g44[t] - 1044932508032140*lu1^4*f44[t]*g44[t] + 4104452683317770*lu1^5*f44[t]*g44[t] + 78916531117573450*lu1^ 6*f44[t]*g44[t] + 124091918809970020*lu1^7*f44[t]*g44[t] - 2650792894059552620*lu1^8*f44[t]*g44[t] - 6948283080044234880* lu1^9*f44[t]*g44[t] + 9097332189809525760*lu1^10*f44[t]*g44[ t] + 43409754730091691200*lu1^11*f44[t]*g44[t] + 43383166208640641600*lu1^12*f44[t]*g44[t] + 12863536240042432000*lu1^13*f44[t]*g44[t] + f40[t]*(-2*Sqrt[70]*(-12544184826 + 155443909635*lu1 + 9322449359271*lu1^2 - 4096134912816*lu1^3 - 361700257994378* lu1^4 - 16324639220876513*lu1^5 + 81948843844778315* lu1^6 + 859818526214507442*lu1^7 + 723928867441786858* lu1^8 - 2395424398004064676*lu1^9 - 680449050530950312* lu1^10 + 4465055155063353360*lu1^11 + 2681735698458398400* lu1^12 + 587481117294960000*lu1^13)*f44[t] - (-3 + 13*lu1 + 38*lu1^2)*(286*Sqrt[5]*(-1437723 + 28838547* lu1 + 871128492*lu1^2 - 9833134429*lu1^3 + 64973798939* lu1^4 - 644253049559*lu1^5 - 1586634066150*lu1^6 + 14687895498437*lu1^7 + 95730603986026*lu1^8 + 231864745340020*lu1^9 + 215484629981400*lu1^10 + 53134635708000*lu1^11)*g20[t] - (-486762318 + 15515484777* lu1 - 7596751818*lu1^2 - 4116426596244*lu1^3 + 72192182157214*lu1^4 + 148853682556901*lu1^5 - 3363126883761890*lu1^6 - 12083012743328058*lu1^7 + 42087599261646196*lu1^8 + 206517349375007320*lu1^9 + 242021439154144400*lu1^10 + 77873116829648000*lu1^11)* g40[t] + Sqrt[70]*(-15581538 + 188415747*lu1 + 4698361152* lu1^2 + 128360735716*lu1^3 + 2981758966774*lu1^4 - 55193698728049*lu1^5 - 294338846978680*lu1^6 + 787626098680442*lu1^7 + 2085286975596796*lu1^8 - 6999593844740120*lu1^9 - 13896378074126000*lu1^10 - 4505859659728000*lu1^11)*g44[t])) + 2460700620*f44n[t]* g44n[t] - 137834137350*lu1*f44n[t]*g44n[t] + 4930815145410*lu1^ 2*f44n[t]*g44n[t] - 25427411695560*lu1^3*f44n[t]*g44n[t] - 1044932508032140*lu1^4*f44n[t]*g44n[t] + 4104452683317770*lu1^ 5*f44n[t]*g44n[t] + 78916531117573450*lu1^6*f44n[t]*g44n[t] + 124091918809970020*lu1^7*f44n[t]*g44n[t] - 2650792894059552620* lu1^8*f44n[t]*g44n[t] - 6948283080044234880*lu1^9*f44n[t]*g44n[ t] + 9097332189809525760*lu1^10*f44n[t]*g44n[t] + 43409754730091691200*lu1^11*f44n[t]*g44n[t] + 43383166208640641600*lu1^12*f44n[t]*g44n[t] + 12863536240042432000*lu1^13*f44n[t]*g44n[t]) - (-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)* (3668307900*Sqrt[3]*f42n[t]^3 - 16477981060*Sqrt[3]*lu1*f42n[t]^ 3 - 2687823080060*Sqrt[3]*lu1^2*f42n[t]^3 - 22325351702080* Sqrt[3]*lu1^3*f42n[t]^3 + 239435270485060*Sqrt[3]*lu1^4* f42n[t]^3 + 4689428262171180*Sqrt[3]*lu1^5*f42n[t]^3 + 4514971543179020*Sqrt[3]*lu1^6*f42n[t]^3 + 6600837650898200* Sqrt[3]*lu1^7*f42n[t]^3 - 3156711854422000*Sqrt[3]*lu1^8* f42n[t]^3 + 12334294393260000*Sqrt[3]*lu1^9*f42n[t]^3 - 25678155300*Sqrt[3]*f42n[t]*f44[t]^2 + 115345867420*Sqrt[3]*lu1* f42n[t]*f44[t]^2 + 18814761560420*Sqrt[3]*lu1^2*f42n[t]*f44[t]^ 2 + 156277461914560*Sqrt[3]*lu1^3*f42n[t]*f44[t]^2 - 1676046893395420*Sqrt[3]*lu1^4*f42n[t]*f44[t]^2 - 32825997835198260*Sqrt[3]*lu1^5*f42n[t]*f44[t]^2 - 31604800802253140*Sqrt[3]*lu1^6*f42n[t]*f44[t]^2 - 46205863556287400*Sqrt[3]*lu1^7*f42n[t]*f44[t]^2 + 22096982980954000*Sqrt[3]*lu1^8*f42n[t]*f44[t]^2 - 86340060752820000*Sqrt[3]*lu1^9*f42n[t]*f44[t]^2 - 25678155300*Sqrt[3]*f42n[t]*f44n[t]^2 + 115345867420*Sqrt[3]* lu1*f42n[t]*f44n[t]^2 + 18814761560420*Sqrt[3]*lu1^2*f42n[ t]*f44n[t]^2 + 156277461914560*Sqrt[3]*lu1^3*f42n[t]*f44n[t]^ 2 - 1676046893395420*Sqrt[3]*lu1^4*f42n[t]*f44n[t]^2 - 32825997835198260*Sqrt[3]*lu1^5*f42n[t]*f44n[t]^2 - 31604800802253140*Sqrt[3]*lu1^6*f42n[t]*f44n[t]^2 - 46205863556287400*Sqrt[3]*lu1^7*f42n[t]*f44n[t]^2 + 22096982980954000*Sqrt[3]*lu1^8*f42n[t]*f44n[t]^2 - 86340060752820000*Sqrt[3]*lu1^9*f42n[t]*f44n[t]^2 + 79974675*Sqrt[42]*f42n[t]*f44[t]*g20[t] - 1276792605*Sqrt[42]* lu1*f42n[t]*f44[t]*g20[t] - 52041528330*Sqrt[42]*lu1^2*f42n[ t]*f44[t]*g20[t] + 280971849510*Sqrt[42]*lu1^3*f42n[t]*f44[ t]*g20[t] - 3046478313945*Sqrt[42]*lu1^4*f42n[t]*f44[t]*g20[ t] + 49283343801615*Sqrt[42]*lu1^5*f42n[t]*f44[t]*g20[t] + 26131541340960*Sqrt[42]*lu1^6*f42n[t]*f44[t]*g20[t] - 1009156486780200*Sqrt[42]*lu1^7*f42n[t]*f44[t]*g20[t] - 1513532896326000*Sqrt[42]*lu1^8*f42n[t]*f44[t]*g20[t] + 308315970270000*Sqrt[42]*lu1^9*f42n[t]*f44[t]*g20[t] - 336670290*f42n[t]^2*g22n[t] + 4250138310*lu1*f42n[t]^2*g22n[ t] + 202181501280*lu1^2*f42n[t]^2*g22n[t] + 218983174740*lu1^ 3*f42n[t]^2*g22n[t] + 31301459646270*lu1^4*f42n[t]^2*g22n[ t] - 410389911316770*lu1^5*f42n[t]^2*g22n[t] + 144954107208900*lu1^6*f42n[t]^2*g22n[t] + 4425653508124200*lu1^ 7*f42n[t]^2*g22n[t] + 4043633209506000*lu1^8*f42n[t]^2*g22n[ t] - 877225567680000*lu1^9*f42n[t]^2*g22n[t] - 284012190*f44[t]^2*g22n[t] + 5965794450*lu1*f44[t]^2*g22n[t] + 206320796220*lu1^2*f44[t]^2*g22n[t] - 2781909608940*lu1^3* f44[t]^2*g22n[t] - 12696869116470*lu1^4*f44[t]^2*g22n[t] + 83244642352410*lu1^5*f44[t]^2*g22n[t] - 417295322939880*lu1^ 6*f44[t]^2*g22n[t] + 3358016962792800*lu1^7*f44[t]^2*g22n[ t] + 8337759900624000*lu1^8*f44[t]^2*g22n[t] - 1630346103540000*lu1^9*f44[t]^2*g22n[t] - 284012190*f44n[t]^ 2*g22n[t] + 5965794450*lu1*f44n[t]^2*g22n[t] + 206320796220*lu1^2*f44n[t]^2*g22n[t] - 2781909608940*lu1^3* f44n[t]^2*g22n[t] - 12696869116470*lu1^4*f44n[t]^2*g22n[t] + 83244642352410*lu1^5*f44n[t]^2*g22n[t] - 417295322939880*lu1^ 6*f44n[t]^2*g22n[t] + 3358016962792800*lu1^7*f44n[t]^2*g22n[ t] + 8337759900624000*lu1^8*f44n[t]^2*g22n[t] - 1630346103540000*lu1^9*f44n[t]^2*g22n[t] - 20614635*Sqrt[210]* f42n[t]*f44[t]*g40[t] + 228208161*Sqrt[210]*lu1*f42n[t]*f44[ t]*g40[t] + 1867431116*Sqrt[210]*lu1^2*f42n[t]*f44[t]*g40[ t] + 81590896678*Sqrt[210]*lu1^3*f42n[t]*f44[t]*g40[t] + 1430200989029*Sqrt[210]*lu1^4*f42n[t]*f44[t]*g40[t] - 19362928410203*Sqrt[210]*lu1^5*f42n[t]*f44[t]*g40[t] - 1990703955102*Sqrt[210]*lu1^6*f42n[t]*f44[t]*g40[t] + 219120455487620*Sqrt[210]*lu1^7*f42n[t]*f44[t]*g40[t] + 306799409141000*Sqrt[210]*lu1^8*f42n[t]*f44[t]*g40[t] + 71712888716000*Sqrt[210]*lu1^9*f42n[t]*f44[t]*g40[t] - 32655960*Sqrt[3]*f42n[t]^2*g42n[t] - 136547760*Sqrt[3]*lu1* f42n[t]^2*g42n[t] - 38789408180*Sqrt[3]*lu1^2*f42n[t]^2*g42n[ t] + 846502151960*Sqrt[3]*lu1^3*f42n[t]^2*g42n[t] + 6988144622080*Sqrt[3]*lu1^4*f42n[t]^2*g42n[t] - 81092038973680*Sqrt[3]*lu1^5*f42n[t]^2*g42n[t] + 47822464067100*Sqrt[3]*lu1^6*f42n[t]^2*g42n[t] + 231236502320200*Sqrt[3]*lu1^7*f42n[t]^2*g42n[t] - 116100820382000*Sqrt[3]*lu1^8*f42n[t]^2*g42n[t] + 687402368380000*Sqrt[3]*lu1^9*f42n[t]^2*g42n[t] - 88427430*Sqrt[3]*f44[t]^2*g42n[t] + 2586307290*Sqrt[3]*lu1* f44[t]^2*g42n[t] + 85219179220*Sqrt[3]*lu1^2*f44[t]^2*g42n[ t] - 1802759699020*Sqrt[3]*lu1^3*f44[t]^2*g42n[t] - 14913274634510*Sqrt[3]*lu1^4*f44[t]^2*g42n[t] + 145864757116610*Sqrt[3]*lu1^5*f44[t]^2*g42n[t] - 277009784506560*Sqrt[3]*lu1^6*f44[t]^2*g42n[t] + 987488833792720*Sqrt[3]*lu1^7*f44[t]^2*g42n[t] + 3978927751103200*Sqrt[3]*lu1^8*f44[t]^2*g42n[t] - 893661705020000*Sqrt[3]*lu1^9*f44[t]^2*g42n[t] - 88427430*Sqrt[3]*f44n[t]^2*g42n[t] + 2586307290*Sqrt[3]*lu1* f44n[t]^2*g42n[t] + 85219179220*Sqrt[3]*lu1^2*f44n[t]^2*g42n[ t] - 1802759699020*Sqrt[3]*lu1^3*f44n[t]^2*g42n[t] - 14913274634510*Sqrt[3]*lu1^4*f44n[t]^2*g42n[t] + 145864757116610*Sqrt[3]*lu1^5*f44n[t]^2*g42n[t] - 277009784506560*Sqrt[3]*lu1^6*f44n[t]^2*g42n[t] + 987488833792720*Sqrt[3]*lu1^7*f44n[t]^2*g42n[t] + 3978927751103200*Sqrt[3]*lu1^8*f44n[t]^2*g42n[t] - 893661705020000*Sqrt[3]*lu1^9*f44n[t]^2*g42n[t] + 5*f40[t]^2*(2*Sqrt[3]*(183415395 - 823899053*lu1 - 134391154003* lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f42n[t] + (-3 + 13*lu1 + 38*lu1^2)* (33*(-84333 + 2220368*lu1 + 82051700*lu1^2 - 1457277822* lu1^3 - 22423010947*lu1^4 + 56010360950*lu1^5 - 349816900500*lu1^6 + 62265357000*lu1^7)*g22n[t] + Sqrt[3]*(-3605949 + 74098384*lu1 + 4776835500*lu1^2 - 35815049606*lu1^3 - 316772764491*lu1^4 - 171444847170* lu1^5 - 10201197079700*lu1^6 + 3539679521000*lu1^7)* g42n[t])) + 10*f42[t]^2*(2*Sqrt[3]*(183415395 - 823899053*lu1 - 134391154003*lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f42n[t] + (-3 + 13*lu1 + 38*lu1^2)*(66*(-282147 + 3075256*lu1 + 190248928*lu1^2 + 129555426*lu1^3 + 17112389935*lu1^4 - 135342110210*lu1^5 - 415091748300*lu1^6 + 79773309000* lu1^7)*g22n[t] - Sqrt[3]*(5883993 - 45301204*lu1 + 1746916146*lu1^2 - 16242700348*lu1^3 - 112448560407* lu1^4 + 950395289016*lu1^5 + 9039366776660*lu1^6 + 3669088570000*lu1^7)*g42n[t])) + 317019150*Sqrt[3]*f42n[ t]*f44[t]*g44[t] - 1630472970*Sqrt[3]*lu1*f42n[t]*f44[t]*g44[ t] + 186306678040*Sqrt[3]*lu1^2*f42n[t]*f44[t]*g44[t] - 4122755364700*Sqrt[3]*lu1^3*f42n[t]*f44[t]*g44[t] - 34003737720050*Sqrt[3]*lu1^4*f42n[t]*f44[t]*g44[t] + 421779515699150*Sqrt[3]*lu1^5*f42n[t]*f44[t]*g44[t] - 57747463963140*Sqrt[3]*lu1^6*f42n[t]*f44[t]*g44[t] - 2606144350034120*Sqrt[3]*lu1^7*f42n[t]*f44[t]*g44[t] - 3166222008429200*Sqrt[3]*lu1^8*f42n[t]*f44[t]*g44[t] - 3918154873640000*Sqrt[3]*lu1^9*f42n[t]*f44[t]*g44[t] + 317019150*Sqrt[3]*f42n[t]*f44n[t]*g44n[t] - 1630472970*Sqrt[ 3]*lu1*f42n[t]*f44n[t]*g44n[t] + 186306678040*Sqrt[3]*lu1^ 2*f42n[t]*f44n[t]*g44n[t] - 4122755364700*Sqrt[3]*lu1^3*f42n[ t]*f44n[t]*g44n[t] - 34003737720050*Sqrt[3]*lu1^4*f42n[t]* f44n[t]*g44n[t] + 421779515699150*Sqrt[3]*lu1^5*f42n[t]*f44n[ t]*g44n[t] - 57747463963140*Sqrt[3]*lu1^6*f42n[t]*f44n[t]* g44n[t] - 2606144350034120*Sqrt[3]*lu1^7*f42n[t]*f44n[t]*g44n[ t] - 3166222008429200*Sqrt[3]*lu1^8*f42n[t]*f44n[t]*g44n[t] - 3918154873640000*Sqrt[3]*lu1^9*f42n[t]*f44n[t]*g44n[t] - (-3 + 13*lu1 + 38*lu1^2)*f42[t]*(Sqrt[3]*f44n[t]* (165*Sqrt[14]*(-161565 + 1879264*lu1 + 111231388*lu1^2 - 61813206*lu1^3 + 7295575333*lu1^4 - 68731118210*lu1^5 - 258215217300*lu1^6 + 49173201000*lu1^7)*g20[t] + Sqrt[70]*(6871545 - 46292692*lu1 - 736039134*lu1^2 - 30972842572*lu1^3 - 620272476519*lu1^4 + 3374139399240* lu1^5 + 7428054012500*lu1^6 + 1887181282000*lu1^7)* g40[t] + 70*(2351781 - 22204604*lu1 + 9132702*lu1^2 - 2704711688*lu1^3 - 31496109999*lu1^4 + 448542896556* lu1^5 + 3907935658660*lu1^6 + 801064460000*lu1^7)* g44[t]) + 70*(3*(-3 + 13*lu1 + 38*lu1^2)*f42n[t]* (495*(957 - 5345*lu1 - 638163*lu1^2 - 4351875*lu1^3 - 104852750*lu1^4 + 19173000*lu1^5)*g22[t] - Sqrt[3]* (-110675 + 92355*lu1 - 50110381*lu1^2 + 395220577* lu1^3 + 7820700120*lu1^4 + 6864714500*lu1^5)*g42[t]) - Sqrt[3]*(2351781 - 22204604*lu1 + 9132702*lu1^2 - 2704711688*lu1^3 - 31496109999*lu1^4 + 448542896556* lu1^5 + 3907935658660*lu1^6 + 801064460000*lu1^7)*f44[t]* g44n[t])) + f40[t]*(Sqrt[3]*f42n[t]*(16*Sqrt[70]* (183415395 - 823899053*lu1 - 134391154003*lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f44[t] - 33*(9 - 126*lu1 - 6667*lu1^2 + 31132*lu1^3 + 87780*lu1^4)*(15*Sqrt[5]* (263 - 92327*lu1 - 2648207*lu1^2 + 8966003*lu1^3 - 21277760*lu1^4 + 3624700*lu1^5)*g20[t] + 5*(47419 - 196463*lu1 - 32001*lu1^2 - 14692733*lu1^3 - 121980110*lu1^4 + 22704000*lu1^5)*g40[t] + Sqrt[70]* (-116513 + 951949*lu1 + 13697067*lu1^2 - 10428521* lu1^3 + 405665890*lu1^4 - 73779600*lu1^5)*g44[t])) - Sqrt[70]*(42*(-3 + 13*lu1 + 38*lu1^2)^2*(f44n[t]* (165*(957 - 5345*lu1 - 638163*lu1^2 - 4351875*lu1^3 - 104852750*lu1^4 + 19173000*lu1^5)*g22[t] + Sqrt[3]* (-106123 + 217155*lu1 - 17742233*lu1^2 + 405396305* lu1^3 + 8552049300*lu1^4 + 4361045500*lu1^5)* g42[t]) + f44[t]*(-165*(957 - 5345*lu1 - 638163* lu1^2 - 4351875*lu1^3 - 104852750*lu1^4 + 19173000* lu1^5)*g22n[t] - Sqrt[3]*(-106123 + 217155*lu1 - 17742233*lu1^2 + 405396305*lu1^3 + 8552049300*lu1^4 + 4361045500*lu1^5)*g42n[t])) + Sqrt[3]*f42[t]* (16*(183415395 - 823899053*lu1 - 134391154003*lu1^2 - 1116267585104*lu1^3 + 11971763524253*lu1^4 + 234471413108559*lu1^5 + 225748577158951*lu1^6 + 330041882544910*lu1^7 - 157835592721100*lu1^8 + 616714719663000*lu1^9)*f44n[t] + 33*(1048617 - 23248179*lu1 - 780120200*lu1^2 + 11793613830*lu1^3 + 66944793905*lu1^4 - 527728204031*lu1^5 + 1817610433542* lu1^6 - 12205663507300*lu1^7 - 33312445317000*lu1^8 + 6476373288000*lu1^9)*g44n[t]))))))))/ (231231*(-3 + 13*lu1 + 38*lu1^2)^3*(-1 + 7*lu1 + 170*lu1^2)^2* (-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*Pi) eqG40f = (-2*cap*(2844270*Sqrt[5]*(-725841 + 29504817*lu1 + 1764870957*lu1^2 - 60712858071*lu1^3 - 639498380073*lu1^4 + 19645869408495*lu1^5 - 171122659857257*lu1^6 + 2256890201578659*lu1^7 + 40876598694018718*lu1^8 - 458077220437001756*lu1^9 - 2922806986764579656*lu1^10 + 1635608599711419568*lu1^11 + 29243069995018926240*lu1^12 + 52577239379605681600*lu1^13 + 35124631322817456000*lu1^14 + 8047907530407360000*lu1^15)*f20[t]^3 + 3315*(-27 + 279*lu1 + 62256*lu1^2 + 123524*lu1^3 + 54768*lu1^4)* f20[t]^2*(3*(217604481 - 1979307694*lu1 - 81825154181*lu1^2 - 3581444114180*lu1^3 + 9437875880635*lu1^4 + 1386946177767962* lu1^5 - 6288239258188123*lu1^6 - 84837849515220112*lu1^7 + 123736018402714660*lu1^8 + 333399758697721000*lu1^9 - 620905844405916000*lu1^10 + 99161246415420000*lu1^11)*f40[t] - 44*(-1 + 7*lu1 + 170*lu1^2)^2*(-3 + 29*lu1 + 2310*lu1^2)* (13*Sqrt[5]*(-1926 + 24147*lu1 + 102611*lu1^2 - 670397*lu1^3 + 3919939*lu1^4 + 1489370*lu1^5)*g20[t] + 3*(-5718 + 78851*lu1 + 34883*lu1^2 - 1503341*lu1^3 + 10151587*lu1^4 + 6626010*lu1^5)*g40[t])) + 1105*(-3 + 37*lu1 + 6846*lu1^2)*(f22[t] + I*f22n[t])* (2*(f22[t] - I*f22n[t])*(3*(4035239397 - 45142833384*lu1 - 780202609569*lu1^2 - 46819299238520*lu1^3 - 1113590431783859* lu1^4 + 18125482330245964*lu1^5 + 763988372980997*lu1^6 - 108271658009674168*lu1^7 + 4422910008612013490*lu1^8 + 7933435760188757212*lu1^9 - 9024694164108325640*lu1^10 - 21757653286109181200*lu1^11 - 7807190511557208000*lu1^12 + 915941643366960000*lu1^13)*f40[t] - 11*(-1 + 7*lu1 + 170*lu1^2)^ 2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)* (13*Sqrt[5]*(13473 - 133041*lu1 - 2068973*lu1^2 + 7128821* lu1^3 - 34865092*lu1^4 + 622540*lu1^5)*g20[t] + 9*(7563 - 66491*lu1 - 1469903*lu1^2 + 4558631*lu1^3 - 21270892*lu1^4 + 2870340*lu1^5)*g40[t])) - 3*(Sqrt[3]*(f42[t] - I*f42n[t])*((-4844189070 - 20586154167*lu1 + 3590817087090*lu1^2 + 91164898961209*lu1^3 - 481897358408642* lu1^4 - 19679408917017925*lu1^5 + 151200011559317486*lu1^6 + 1274343790424867475*lu1^7 + 1289649794373880448*lu1^8 - 2956145621765867424*lu1^9 - 5256949504006714640*lu1^10 + 1243552651190893200*lu1^11 + 5236583135391032000*lu1^12 + 1401351727664000000*lu1^13)*f40[t] - (-9 + 45*lu1 + 1648*lu1^2 + 3116*lu1^3 + 1360*lu1^4)*(Sqrt[5]*(-1582266 - 18681877*lu1 + 2052239109*lu1^2 + 15650206812*lu1^3 + 1007425570796*lu1^4 - 11676426302789*lu1^5 - 44295635344035* lu1^6 - 181831595048970*lu1^7 + 501880928945500*lu1^8 + 373937549055000*lu1^9)*g20[t] + (-5260710 + 67635101*lu1 + 4746890475*lu1^2 - 28730868300*lu1^3 + 722979351860*lu1^4 - 10203710781875*lu1^5 - 17595646962573*lu1^6 + 30667326478890*lu1^7 + 343516804070500*lu1^8 + 57369711777000*lu1^9)*g40[t])) + Sqrt[70]* (f44[t] - I*f44n[t])*(-(Sqrt[3]*(-2721514734 - 6593284503*lu1 + 1633196517402*lu1^2 + 50399580943513*lu1^3 - 207292548269402* lu1^4 - 11608353526305317*lu1^5 + 53307010348363878*lu1^6 + 684408459908032371*lu1^7 + 838499759864602072*lu1^8 - 1340505648017361056*lu1^9 - 2268355477539122704*lu1^10 + 298315430764008720*lu1^11 + 1242358850246024000*lu1^12 + 216064415310912000*lu1^13)*(f42[t] + I*f42n[t])) + 2*(-1 + 7*lu1 + 170*lu1^2)*((-16337916 + 350879490*lu1 + 9775541730*lu1^2 - 130899886389*lu1^3 + 251482631918* lu1^4 - 3109179529232*lu1^5 + 13942783285130*lu1^6 + 375619640126535*lu1^7 + 1158269461265282*lu1^8 + 1874309461573796*lu1^9 + 1520743495985080*lu1^10 + 330033674084800*lu1^11)*(g22[t] + I*g22n[t]) - 33*Sqrt[3]*(-34020 + 1009800*lu1 + 43765758*lu1^2 - 929645019*lu1^3 - 18837315742*lu1^4 + 145601052226*lu1^5 + 1514133185278*lu1^6 + 3908488249645*lu1^7 - 956725997546* lu1^8 + 1482902271532*lu1^9 + 10803367714280*lu1^10 + 2651072424000*lu1^11)*(g42[t] + I*g42n[t]))) - (-1 + 7*lu1 + 170*lu1^2)*(2*f40[t]*((248898258 - 5410831842*lu1 - 107986679727*lu1^2 + 1261919551199*lu1^3 - 11570870681594* lu1^4 + 148290655160984*lu1^5 + 596536598133525*lu1^6 - 4658156573113337*lu1^7 - 18378292047818726*lu1^8 - 17854988498145500*lu1^9 - 2242237578173400*lu1^10 + 1370781175736000*lu1^11)*(g22[t] - I*g22n[t]) - 33*Sqrt[3]*(-838026 + 13207914*lu1 + 578274759*lu1^2 - 2833549563*lu1^3 + 3389367898*lu1^4 - 701839711048*lu1^5 + 898388499155*lu1^6 - 822125397331*lu1^7 + 22498338258302* lu1^8 + 120904599678860*lu1^9 + 130288426036600*lu1^10 + 25021748136000*lu1^11)*(g42[t] - I*g42n[t])) + 21*Sqrt[210]*(-932958 + 25859007*lu1 + 33368481*lu1^2 - 3390403554*lu1^3 + 40214332316*lu1^4 - 234581206877*lu1^5 - 2443245659519*lu1^6 + 6240850567168*lu1^7 + 57601778255440* lu1^8 + 112798261189216*lu1^9 + 84601671139760*lu1^10 + 21804322814400*lu1^11)*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])))) + 3315*Sqrt[70]*(-3 + 31*lu1 + 6920*lu1^2 + 13692*lu1^3)*(f22[t] + I*f22n[t])^2* (2*(210106548 - 3061640907*lu1 - 96168778977*lu1^2 - 845999995649*lu1^3 - 29604015153563*lu1^4 + 850195819120743* lu1^5 - 365906391071275*lu1^6 - 33679652902240663*lu1^7 - 3652311635303553*lu1^8 + 179357729795250700*lu1^9 + 346588058412452020*lu1^10 + 302652515095386000*lu1^11 + 89704499875956000*lu1^12)*(f44[t] - I*f44n[t]) - 693*(-1 + 7*lu1 + 170*lu1^2)^2*(2187 - 56700*lu1 - 1148256*lu1^2 + 25696782*lu1^3 - 152025759*lu1^4 - 112798138*lu1^5 + 1983708084*lu1^6 + 3476459080*lu1^7 + 1436080800*lu1^8)* (g44[t] - I*g44n[t])) + 3*(5*(-14091946272621 - 584671696469739*lu1 + 42701519484627921* lu1^2 + 2782046506964990733*lu1^3 - 32009766645166607277*lu1^4 - 2107348101386859082965*lu1^5 + 8854002407560137420963*lu1^6 + 210577651925742140577007*lu1^7 - 862247556558331915967794*lu1^8 + 936703407619495349214036*lu1^9 + 5782614811433900311960184* lu1^10 - 88636576189363477219720208*lu1^11 - 299914215595334791664838240*lu1^12 - 274811608038732101744148800* lu1^13 - 25610452593213734708560000*lu1^14 + 34330692333671775975360000*lu1^15)*f40[t]^3 - 1393006413240*Sqrt[70]*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) + 34693078816890*Sqrt[70]*lu1* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 3641047445952540*Sqrt[70]*lu1^2*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) - 41444148525466440*Sqrt[70]*lu1^3* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) - 1425056381814849940* Sqrt[70]*lu1^4*(f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) - 23513018349474729660*Sqrt[70]*lu1^5*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) - 417666634194046714100*Sqrt[70]*lu1^6* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 12304645185050397435880*Sqrt[70]*lu1^7*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) + 17847289539315012979020*Sqrt[70]*lu1^8* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) - 527581107960694918981630*Sqrt[70]*lu1^9*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) - 1064989007717855166904360*Sqrt[70]*lu1^10* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 2654175328499109176586240*Sqrt[70]*lu1^11*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) + 10747823418236343950368000*Sqrt[70]*lu1^12* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 15122190066824336578586400*Sqrt[70]*lu1^13*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) + 10529928160579085796720000*Sqrt[70]*lu1^14* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 2714397167186512909920000*Sqrt[70]*lu1^15*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) + 9021821343210*Sqrt[210]* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 89412391772145*Sqrt[210]*lu1*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 26271409197298005* Sqrt[210]*lu1^2*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) - 150178447620594315*Sqrt[210]*lu1^3* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 15102615675126768295*Sqrt[210]*lu1^4*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 411270798012623072875* Sqrt[210]*lu1^5*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) - 2219453161152639472775*Sqrt[210]*lu1^6* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 87904577932902521358945*Sqrt[210]*lu1^7*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 428460884273002262830395*Sqrt[210]*lu1^8*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 5216159488671322328726290*Sqrt[210]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 6295821163405390077316960*Sqrt[210]*lu1^10*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 10234427970643343157920320*Sqrt[210]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 17151645360354060677943120*Sqrt[210]*lu1^12*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 2306783108162049103277600*Sqrt[210]*lu1^13*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 9407067294726616373040000*Sqrt[210]*lu1^14*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 1634490570876446424960000*Sqrt[210]*lu1^15*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 6836332784904*Sqrt[70]* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 176025702110256*Sqrt[70]*lu1*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 6979592581522992*Sqrt[70]*lu1^2* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) + 192787165127798280* Sqrt[70]*lu1^3*(f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 25989761121647213376*Sqrt[70]*lu1^4*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 32283417301074539784*Sqrt[70]*lu1^5* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) + 9840455118385058193408*Sqrt[70]*lu1^6*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) + 50146134889858000006968*Sqrt[70]*lu1^7* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 192819575207659335526440*Sqrt[70]*lu1^8*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 1795720749799436089537032*Sqrt[70]*lu1^9* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 4261741973241751457261424*Sqrt[70]*lu1^10*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 13634124767176297546650240*Sqrt[70]*lu1^11* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 37837506530210240645277696*Sqrt[70]*lu1^12*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 39234259127458185629857920*Sqrt[70]*lu1^13* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 7447055641640177598201600*Sqrt[70]*lu1^14*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) + 3538238428854624458880000*Sqrt[70]*lu1^15* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 47206906110*Sqrt[15]* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 260879238945*Sqrt[15]*lu1*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* g20[t] + 184348875918285*Sqrt[15]*lu1^2*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 116348554392525*Sqrt[15]*lu1^3* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] - 152541950204498335*Sqrt[15]*lu1^4*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] - 1448461016260473605*Sqrt[15]*lu1^5* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] - 35922564568295029885*Sqrt[15]*lu1^6*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 1500507735307721398895*Sqrt[15]* lu1^7*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 11718422730493111465625*Sqrt[15]*lu1^8*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] - 127854822303638456088920*Sqrt[15]* lu1^9*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] - 931645142531466254893820*Sqrt[15]*lu1^10*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] - 3283272837854467977896000*Sqrt[15]* lu1^11*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 1715204813670516515188400*Sqrt[15]*lu1^12*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 14695307102743352937904000*Sqrt[15]* lu1^13*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 13998687738797208883800000*Sqrt[15]*lu1^14*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 3847132625336120484000000*Sqrt[15]* lu1^15*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] - 2519375820390*Sqrt[5]*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g20[t] + 63716798097810*Sqrt[5]*lu1*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 5068788501824190*Sqrt[5]*lu1^2* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] - 48816255003425910*Sqrt[5]*lu1^3*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 588646117753847010*Sqrt[5]*lu1^4* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] - 61447962682485491970*Sqrt[5]*lu1^5*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] - 460572356451192083670*Sqrt[5]*lu1^6* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 18796977704432290398750*Sqrt[5]*lu1^7*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 73588838081362448052780*Sqrt[5]* lu1^8*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] - 1098852126802097450691480*Sqrt[5]*lu1^9*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] - 1914281765023457967817680*Sqrt[5]* lu1^10*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 9524072996975093196388320*Sqrt[5]*lu1^11*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 32079834987138599406757440*Sqrt[5]* lu1^12*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 40970764378376934583996800*Sqrt[5]*lu1^13*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 26540010546273160800864000*Sqrt[5]* lu1^14*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 6955895704147184995200000*Sqrt[5]*lu1^15*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 108320383080*Sqrt[70]* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 4420525091580*Sqrt[70]*lu1*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 276086028214620* Sqrt[70]*lu1^2*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 9581640468126090*Sqrt[70]*lu1^3* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 134860593173602140*Sqrt[70]*lu1^4*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 4073903389309000130* Sqrt[70]*lu1^5*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 6006812838648419720*Sqrt[70]*lu1^6* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 257081575446461806950*Sqrt[70]*lu1^7*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 15166373231555428220* Sqrt[70]*lu1^8*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 12353874449314845620030*Sqrt[70]*lu1^9* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 62466966913710264430980*Sqrt[70]*lu1^10*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 1075290011601771739480720*Sqrt[70]*lu1^11*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 3179781968576256369578720*Sqrt[70]*lu1^12*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 4997824688323874688496800*Sqrt[70]*lu1^13*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 3950957293091418572872000*Sqrt[70]*lu1^14*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 848860537167151978560000*Sqrt[70]*lu1^15*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 532340385525*Sqrt[210]* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 16521842426895*Sqrt[210]*lu1*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 1361615654127105* Sqrt[210]*lu1^2*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 28272154844487645*Sqrt[210]*lu1^3* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 600293211543597585*Sqrt[210]*lu1^4*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 4620692356515541865* Sqrt[210]*lu1^5*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 32900789389640499275*Sqrt[210]*lu1^6* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 1514522291668072141065*Sqrt[210]*lu1^7*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 6605291781640209379410* Sqrt[210]*lu1^8*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 166510850126691745624820*Sqrt[210]*lu1^9* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 301439851653422067014520*Sqrt[210]*lu1^10*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2516196907875713411016720*Sqrt[210]*lu1^11*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 8720039654797673021886560*Sqrt[210]*lu1^12*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 9233884254252300574651200*Sqrt[210]*lu1^13*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2934728768294891409296000*Sqrt[210]*lu1^14*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 85523087806495684800000*Sqrt[210]*lu1^15*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 156953282850*Sqrt[3]* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 4738416807735*Sqrt[3]*lu1*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* g40[t] + 483875156893635*Sqrt[3]*lu1^2*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 10252841575596165*Sqrt[3]*lu1^3* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] - 343304430681573985*Sqrt[3]*lu1^4*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 3995826888997000525*Sqrt[3]*lu1^5* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 2795716877548808525*Sqrt[3]*lu1^6*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 780189072355063679945*Sqrt[3]*lu1^7* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 5672594508360841907495*Sqrt[3]*lu1^8*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 121043931558505522715720*Sqrt[3]* lu1^9*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] - 467648551920516610525700*Sqrt[3]*lu1^10*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 2204765494250205074240*Sqrt[3]* lu1^11*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 4891154793722700383550800*Sqrt[3]*lu1^12*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 9154262169146425865872000*Sqrt[3]* lu1^13*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 4889668264187675765160000*Sqrt[3]*lu1^14*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 590229278769123957600000*Sqrt[3]* lu1^15*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] - 1890575222850*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 11830813719030*lu1*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g40[t] + 7493224995940770*lu1^2*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 55065646862510130*lu1^3* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 1837217246278861890*lu1^4*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g40[t] - 36701481749628729990*lu1^5*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] + 107801851822972164150*lu1^6* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 14610072705252734427210*lu1^7*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] + 15958975157731220681340*lu1^8* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 998132187960264011133480*lu1^9*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 45495148887043546859280*lu1^10* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 12840507154039008824981280*lu1^11*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] + 16658299300903706649503040*lu1^12* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 19660555761630366764707200*lu1^13*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 42043173678651298804896000*lu1^14* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 16809357973332321936000000*lu1^15*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] + 30*(27 - 252*lu1 - 4701*lu1^2 + 13786*lu1^3 + 99052*lu1^4 + 136088*lu1^5 + 51680*lu1^6)*f40[t]^2* (221*Sqrt[5]*(15437547 - 365522505*lu1 - 38595310276*lu1^2 + 476207692362*lu1^3 + 12320042116331*lu1^4 - 13031069581773*lu1^ 5 + 409615765444134*lu1^6 - 9082563845062180*lu1^7 - 62353285558797800*lu1^8 + 203891720676000*lu1^9)*g20[t] - (-4601920311 + 156686728125*lu1 + 5900870714708*lu1^2 - 119452637623026*lu1^3 + 34717889303177*lu1^4 - 7726485190519791*lu1^5 - 545125039208417982*lu1^6 + 1703763743899277780*lu1^7 + 19271635407017345800*lu1^8 + 18988205884287612000*lu1^9)*g40[t]) + (-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)* (f44[t] - I*f44n[t])*(72*Sqrt[70]*(-3516632091 + 82342725795*lu1 + 3710562839457*lu1^2 - 88931554749146*lu1^3 + 13239935711751010* lu1^4 + 45790943821228753*lu1^5 - 4686987549472710875*lu1^6 - 35410062080434025196*lu1^7 - 77773821426920155937*lu1^8 - 117961658923028963190*lu1^9 - 759253567954210980700*lu1^10 + 161651975002495635000*lu1^11)*(f42[t] + I*f42n[t])^2 - 420*(-1 + 7*lu1 + 170*lu1^2)*(f44[t] + I*f44n[t])* (221*Sqrt[5]*(804465 - 26358627*lu1 - 2180649584*lu1^2 + 52927165734*lu1^3 + 1273446021289*lu1^4 - 21655243092687* lu1^5 - 292377087236082*lu1^6 + 583983374533372*lu1^7 - 5955994651765480*lu1^8 + 743807138088000*lu1^9)*g20[t] + 2*(17894817 - 726212577*lu1 - 43297836791*lu1^2 + 1759929943308* lu1^3 + 15040097607499*lu1^4 - 1119562438700229*lu1^5 - 19097488377179553*lu1^6 + 60448691278008346*lu1^7 - 225592909791678940*lu1^8 + 23726026689141000*lu1^9)*g40[t]) - 5*Sqrt[70]*(-1 + 7*lu1 + 170*lu1^2)*(f42[t] + I*f42n[t])* (221*Sqrt[3]*(17842815 - 387240897*lu1 - 46145814590*lu1^2 + 440389433766*lu1^3 + 16328502761803*lu1^4 + 99093569417499* lu1^5 + 2611437190961268*lu1^6 - 18856061327318864*lu1^7 - 55334168380939840*lu1^8 + 1497609511482000*lu1^9)*(g22[t] + I*g22n[t]) + 27*(14894757 + 76262229*lu1 - 64886299274* lu1^2 - 238652998334*lu1^3 + 29034724511337*lu1^4 + 668441224260937*lu1^5 + 11429040886124668*lu1^6 - 60860918401419600*lu1^7 + 45306735487473600*lu1^8 + 75246392183886000*lu1^9)*(g42[t] + I*g42n[t]))) - 7443235800*Sqrt[210]*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 364836700800*Sqrt[210]*lu1* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 22912331605020*Sqrt[210]*lu1^2*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 1045684332422730* Sqrt[210]*lu1^3*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 21736640599888500*Sqrt[210]*lu1^4* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 851451396210991290*Sqrt[210]*lu1^5*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 9504494098692209760* Sqrt[210]*lu1^6*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 234292945583572225350*Sqrt[210]*lu1^7* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 1823635528106385768060*Sqrt[210]*lu1^8*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 16326037055890981998150*Sqrt[210]*lu1^9*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 144459870523046230932780*Sqrt[210]*lu1^10*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 327147057716013858900720*Sqrt[210]*lu1^11*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 80944351752285499901280*Sqrt[210]*lu1^12*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 167205796458525641388000*Sqrt[210]*lu1^13*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 927443177983672518168000*Sqrt[210]*lu1^14*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 225016114942881662400000*Sqrt[210]*lu1^15*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 54291389265*Sqrt[70]* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 228743808435*Sqrt[70]*lu1*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 248557735993005*Sqrt[70]*lu1^2* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 1316863823872905*Sqrt[70]*lu1^3*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 155470767772414365* Sqrt[70]*lu1^4*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 1480697364450960315*Sqrt[70]*lu1^5* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 818284184771964975*Sqrt[70]*lu1^6*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 985216222647049938885* Sqrt[70]*lu1^7*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 3390179507133038852490*Sqrt[70]*lu1^8* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 68098276051445121440580*Sqrt[70]*lu1^9*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 20730468550967860610520*Sqrt[70]*lu1^10*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 562630045294279648708560*Sqrt[70]*lu1^11*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 292506971075799335013600*Sqrt[70]*lu1^12*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 1413951713275349486808000*Sqrt[70]*lu1^13*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 1698513719784297338160000*Sqrt[70]*lu1^14*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 524979028988535844800000*Sqrt[70]*lu1^15*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 5*f40[t]*(221*(-3 + 37*lu1 + 6846*lu1^2)*(f22[t] - I*f22n[t])* (Sqrt[3]*(-4844189070 - 20586154167*lu1 + 3590817087090*lu1^2 + 91164898961209*lu1^3 - 481897358408642*lu1^4 - 19679408917017925*lu1^5 + 151200011559317486*lu1^6 + 1274343790424867475*lu1^7 + 1289649794373880448*lu1^8 - 2956145621765867424*lu1^9 - 5256949504006714640*lu1^10 + 1243552651190893200*lu1^11 + 5236583135391032000*lu1^12 + 1401351727664000000*lu1^13)*(f42[t] + I*f42n[t]) - 2*(-1 + 7*lu1 + 170*lu1^2)*((248898258 - 5410831842*lu1 - 107986679727*lu1^2 + 1261919551199*lu1^3 - 11570870681594* lu1^4 + 148290655160984*lu1^5 + 596536598133525*lu1^6 - 4658156573113337*lu1^7 - 18378292047818726*lu1^8 - 17854988498145500*lu1^9 - 2242237578173400*lu1^10 + 1370781175736000*lu1^11)*(g22[t] + I*g22n[t]) - 33*Sqrt[3]*(-838026 + 13207914*lu1 + 578274759*lu1^2 - 2833549563*lu1^3 + 3389367898*lu1^4 - 701839711048*lu1^5 + 898388499155*lu1^6 - 822125397331*lu1^7 + 22498338258302* lu1^8 + 120904599678860*lu1^9 + 130288426036600*lu1^10 + 25021748136000*lu1^11)*(g42[t] + I*g42n[t]))) - (-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)* ((f42[t] - I*f42n[t])*(2*(-68870255265 + 36705907727604*lu1 - 894123987227463*lu1^2 - 121037246129161542*lu1^3 + 3131946035826732833*lu1^4 + 85647507569524714464*lu1^5 - 918003197238669979545*lu1^6 - 12433737003567697773710* lu1^7 + 3353298154396409093424*lu1^8 - 151711223856276900093120*lu1^9 - 504525720729395382127600* lu1^10 + 140087440792760635020000*lu1^11)*(f42[t] + I*f42n[t]) + 3*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*(2431*Sqrt[3]*(-277413 + 2107376*lu1 + 577953512*lu1^2 + 4208387718*lu1^3 + 158812908305*lu1^4 - 755583600238*lu1^5 - 358670690580*lu1^6 + 87530902200* lu1^7)*(g22[t] + I*g22n[t]) - 27*(108948891 - 3420692752* lu1 - 69425976104*lu1^2 + 983091549494*lu1^3 - 4888628711455*lu1^4 - 7120598440094*lu1^5 + 738744672940460*lu1^6 + 689135359764600*lu1^7)* (g42[t] + I*g42n[t]))) + 3*(-1 + 7*lu1 + 170*lu1^2)*( (-3 + 29*lu1 + 2310*lu1^2)*(f42[t] + I*f42n[t])* (2431*Sqrt[3]*(-277413 + 2107376*lu1 + 577953512*lu1^2 + 4208387718*lu1^3 + 158812908305*lu1^4 - 755583600238* lu1^5 - 358670690580*lu1^6 + 87530902200*lu1^7)* (g22[t] - I*g22n[t]) - 27*(108948891 - 3420692752*lu1 - 69425976104*lu1^2 + 983091549494*lu1^3 - 4888628711455* lu1^4 - 7120598440094*lu1^5 + 738744672940460*lu1^6 + 689135359764600*lu1^7)*(g42[t] - I*g42n[t])) - 882*(-14518701 + 305546979*lu1 + 28799911078*lu1^2 - 168244951978*lu1^3 + 3016475025191*lu1^4 - 145809706059889* lu1^5 - 2216031577866448*lu1^6 + 11865492371933288*lu1^7 + 42258292737809680*lu1^8 + 21770214274662000*lu1^9)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t])) + 14*(f44[t] - I*f44n[t])*((171016756785 + 1008932348772*lu1 - 318560944204569*lu1^2 - 12717412345638426*lu1^3 - 233490117200518681*lu1^4 + 9880395399126051912*lu1^5 + 109901760081643705065*lu1^6 + 44840763626935899550*lu1^7 + 4478839124012523604392*lu1^8 - 15606432377712353334960* lu1^9 - 33027776609411347010800*lu1^10 + 11698961398837458060000*lu1^11)*(f44[t] + I*f44n[t]) - 189*(14518701 - 407177886*lu1 - 29129261395*lu1^2 + 421787315954*lu1^3 + 701795194223*lu1^4 + 138323389399966* lu1^5 + 1708164389729695*lu1^6 - 52165363447179554*lu1^7 - 335925214371572824*lu1^8 + 2291171538118664720*lu1^9 + 7336301265350279600*lu1^10 + 3700936426692540000*lu1^11)* (g44[t] + I*g44n[t])))) - 39889298799*Sqrt[70]* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 1300253855859*Sqrt[70]*lu1*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) + 162313624679787*Sqrt[70]*lu1^2* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 2342705036926905*Sqrt[70]*lu1^3*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) + 140482098103648581*Sqrt[70]*lu1^4* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 4317235746292880901* Sqrt[70]*lu1^5*(f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 14740119788053925223*Sqrt[70]*lu1^6*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) + 505587336714850410027*Sqrt[70]*lu1^7* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 585802053233034903090*Sqrt[70]*lu1^8*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) - 13908678407673219558108*Sqrt[70]*lu1^9* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 23862258128388208092984*Sqrt[70]*lu1^10*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) + 167963918526173700569520*Sqrt[70]*lu1^11* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 160616534246181625064544*Sqrt[70]*lu1^12*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) - 1257168837949395689263680*Sqrt[70]*lu1^13* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 1515394309165355569910400*Sqrt[70]*lu1^14*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) - 527980210375396726080000*Sqrt[70]*lu1^15* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 5024184165*Sqrt[70]* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 252511774515*Sqrt[70]*lu1*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) - 11792628612765*Sqrt[70]*lu1^2* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 609123631821705*Sqrt[70]*lu1^3*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 4086480859866405*Sqrt[70]*lu1^4* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 342652991789233125* Sqrt[70]*lu1^5*(f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 1063458156055600305*Sqrt[70]*lu1^6*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 53819918082649313595*Sqrt[70]*lu1^7* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 319827246678234485190*Sqrt[70]*lu1^8*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) - 2731193019846375624540*Sqrt[70]*lu1^9* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 24070976712623342141640*Sqrt[70]*lu1^10*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 51842888379900779681520*Sqrt[70]*lu1^11* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 352297835276145549991200*Sqrt[70]*lu1^12*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) - 1234952753996593607976000*Sqrt[70]*lu1^13* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 1309172612176160812080000*Sqrt[70]*lu1^14*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) - 435150134104911825600000*Sqrt[70]*lu1^15* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 64947871170*Sqrt[210]*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) + 3055833614925*Sqrt[210]*lu1* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 121164581771415*Sqrt[210]*lu1^2*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 5713198031943675* Sqrt[210]*lu1^3*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) + 9201794269257135*Sqrt[210]*lu1^4* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 1228234169922323655*Sqrt[210]*lu1^5*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 9841026905826899055* Sqrt[210]*lu1^6*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) + 1381475899156870335*Sqrt[210]*lu1^7* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 1188923914864901608575*Sqrt[210]*lu1^8*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 10506234508909020761880*Sqrt[210]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 67764574984175932813860*Sqrt[210]*lu1^10*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 222316977554781271256640*Sqrt[210]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 1683556123292555412023760*Sqrt[210]*lu1^12*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 3149116968978189349795200*Sqrt[210]*lu1^13*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 2312219826083793323880000*Sqrt[210]*lu1^14*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 588857203421125460640000*Sqrt[210]*lu1^15*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 39889298799*Sqrt[70]* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 1300253855859*Sqrt[70]*lu1*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) + 162313624679787*Sqrt[70]*lu1^2* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 2342705036926905*Sqrt[70]*lu1^3*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) + 140482098103648581*Sqrt[70]*lu1^4* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 4317235746292880901* Sqrt[70]*lu1^5*(f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 14740119788053925223*Sqrt[70]*lu1^6*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) + 505587336714850410027*Sqrt[70]*lu1^7* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 585802053233034903090*Sqrt[70]*lu1^8*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) - 13908678407673219558108*Sqrt[70]*lu1^9* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 23862258128388208092984*Sqrt[70]*lu1^10*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) + 167963918526173700569520*Sqrt[70]*lu1^11* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 160616534246181625064544*Sqrt[70]*lu1^12*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) - 1257168837949395689263680*Sqrt[70]*lu1^13* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 1515394309165355569910400*Sqrt[70]*lu1^14*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) - 527980210375396726080000*Sqrt[70]*lu1^15* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t])) - 6630*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (1144*Sqrt[5]*(241947 - 6850926*lu1 - 120662019*lu1^2 + 3115641324*lu1^3 - 23758357671*lu1^4 + 268250620594*lu1^5 + 6132738734523*lu1^6 - 64511706604928*lu1^7 - 426267487285532* lu1^8 + 219393330033328*lu1^9 + 4232440673020240*lu1^10 + 7652814199497600*lu1^11 + 5124325953016000*lu1^12 + 1175563472160000*lu1^13)*f22[t]^2 + 1144*Sqrt[5]* (241947 - 6850926*lu1 - 120662019*lu1^2 + 3115641324*lu1^3 - 23758357671*lu1^4 + 268250620594*lu1^5 + 6132738734523*lu1^6 - 64511706604928*lu1^7 - 426267487285532*lu1^8 + 219393330033328*lu1^9 + 4232440673020240*lu1^10 + 7652814199497600*lu1^11 + 5124325953016000*lu1^12 + 1175563472160000*lu1^13)*f22n[t]^2 - 6572538450*Sqrt[5]* f40[t]^2 - 9285201261*Sqrt[5]*lu1*f40[t]^2 + 3431374124940*Sqrt[5]* lu1^2*f40[t]^2 + 120624754317267*Sqrt[5]*lu1^3*f40[t]^2 - 415924037203776*Sqrt[5]*lu1^4*f40[t]^2 - 28771769035881495*Sqrt[5]* lu1^5*f40[t]^2 + 86501280136876428*Sqrt[5]*lu1^6*f40[t]^2 + 1610773881836470785*Sqrt[5]*lu1^7*f40[t]^2 + 2177136753711847434* Sqrt[5]*lu1^8*f40[t]^2 - 2809786963740703392*Sqrt[5]*lu1^9* f40[t]^2 - 4563620912766674160*Sqrt[5]*lu1^10*f40[t]^2 + 186018376971862800*Sqrt[5]*lu1^11*f40[t]^2 + 731408336879316000* Sqrt[5]*lu1^12*f40[t]^2 - 240772238332080000*Sqrt[5]*lu1^13* f40[t]^2 + 6556076901*Sqrt[5]*f42[t]^2 + 29629562292*Sqrt[5]*lu1* f42[t]^2 - 4366320624072*Sqrt[5]*lu1^2*f42[t]^2 - 118558697771613*Sqrt[5]*lu1^3*f42[t]^2 + 1062958221081999*Sqrt[5]* lu1^4*f42[t]^2 + 29937178807954242*Sqrt[5]*lu1^5*f42[t]^2 - 182027266257853302*Sqrt[5]*lu1^6*f42[t]^2 - 2231228340173627817* Sqrt[5]*lu1^7*f42[t]^2 - 730530469465130070*Sqrt[5]*lu1^8* f42[t]^2 + 8094327592609841616*Sqrt[5]*lu1^9*f42[t]^2 - 166351514333688816*Sqrt[5]*lu1^10*f42[t]^2 - 18437320331744289360* Sqrt[5]*lu1^11*f42[t]^2 - 12966344827972245600*Sqrt[5]*lu1^12* f42[t]^2 - 2767208113398960000*Sqrt[5]*lu1^13*f42[t]^2 + 6556076901*Sqrt[5]*f42n[t]^2 + 29629562292*Sqrt[5]*lu1*f42n[t]^2 - 4366320624072*Sqrt[5]*lu1^2*f42n[t]^2 - 118558697771613*Sqrt[5]* lu1^3*f42n[t]^2 + 1062958221081999*Sqrt[5]*lu1^4*f42n[t]^2 + 29937178807954242*Sqrt[5]*lu1^5*f42n[t]^2 - 182027266257853302* Sqrt[5]*lu1^6*f42n[t]^2 - 2231228340173627817*Sqrt[5]*lu1^7* f42n[t]^2 - 730530469465130070*Sqrt[5]*lu1^8*f42n[t]^2 + 8094327592609841616*Sqrt[5]*lu1^9*f42n[t]^2 - 166351514333688816* Sqrt[5]*lu1^10*f42n[t]^2 - 18437320331744289360*Sqrt[5]*lu1^11* f42n[t]^2 - 12966344827972245600*Sqrt[5]*lu1^12*f42n[t]^2 - 2767208113398960000*Sqrt[5]*lu1^13*f42n[t]^2 + 3823575840*Sqrt[5]* f44[t]^2 - 15660493506*Sqrt[5]*lu1*f44[t]^2 - 728962190712*Sqrt[5]* lu1^2*f44[t]^2 - 69631549140006*Sqrt[5]*lu1^3*f44[t]^2 - 248603053303668*Sqrt[5]*lu1^4*f44[t]^2 + 17077520397531762*Sqrt[5]* lu1^5*f44[t]^2 + 64350610132624368*Sqrt[5]*lu1^6*f44[t]^2 - 520459067795597994*Sqrt[5]*lu1^7*f44[t]^2 - 2306049350314611972* Sqrt[5]*lu1^8*f44[t]^2 - 1996182939360481536*Sqrt[5]*lu1^9* f44[t]^2 + 4052864432313706464*Sqrt[5]*lu1^10*f44[t]^2 + 11080074411402833760*Sqrt[5]*lu1^11*f44[t]^2 + 9788091664852267200* Sqrt[5]*lu1^12*f44[t]^2 + 2941182673005024000*Sqrt[5]*lu1^13* f44[t]^2 + 3823575840*Sqrt[5]*f44n[t]^2 - 15660493506*Sqrt[5]*lu1* f44n[t]^2 - 728962190712*Sqrt[5]*lu1^2*f44n[t]^2 - 69631549140006*Sqrt[5]*lu1^3*f44n[t]^2 - 248603053303668*Sqrt[5]* lu1^4*f44n[t]^2 + 17077520397531762*Sqrt[5]*lu1^5*f44n[t]^2 + 64350610132624368*Sqrt[5]*lu1^6*f44n[t]^2 - 520459067795597994* Sqrt[5]*lu1^7*f44n[t]^2 - 2306049350314611972*Sqrt[5]*lu1^8* f44n[t]^2 - 1996182939360481536*Sqrt[5]*lu1^9*f44n[t]^2 + 4052864432313706464*Sqrt[5]*lu1^10*f44n[t]^2 + 11080074411402833760* Sqrt[5]*lu1^11*f44n[t]^2 + 9788091664852267200*Sqrt[5]*lu1^12* f44n[t]^2 + 2941182673005024000*Sqrt[5]*lu1^13*f44n[t]^2 + 440737038*f40[t]*g20[t] - 14569084953*lu1*f40[t]*g20[t] - 137782554948*lu1^2*f40[t]*g20[t] + 6213050605263*lu1^3*f40[t]* g20[t] - 642890892792*lu1^4*f40[t]*g20[t] - 553583294145803*lu1^5* f40[t]*g20[t] + 161712081091372*lu1^6*f40[t]*g20[t] - 8817772743782107*lu1^7*f40[t]*g20[t] + 114679336403977938*lu1^8* f40[t]*g20[t] + 2519914714999950112*lu1^9*f40[t]*g20[t] + 5963099031908119760*lu1^10*f40[t]*g20[t] + 4607261478924741200* lu1^11*f40[t]*g20[t] + 1077008770658724000*lu1^12*f40[t]*g20[t] - 44675825347440000*lu1^13*f40[t]*g20[t] + 14978250*Sqrt[15]*f42[t]* g22[t] - 1095929946*Sqrt[15]*lu1*f42[t]*g22[t] + 33544009773*Sqrt[15]*lu1^2*f42[t]*g22[t] + 68163211553*Sqrt[15]* lu1^3*f42[t]*g22[t] - 7657058535534*Sqrt[15]*lu1^4*f42[t]*g22[t] - 36739375142144*Sqrt[15]*lu1^5*f42[t]*g22[t] + 717398144631161* Sqrt[15]*lu1^6*f42[t]*g22[t] + 4342248153707905*Sqrt[15]*lu1^7* f42[t]*g22[t] - 26484538540917202*Sqrt[15]*lu1^8*f42[t]*g22[t] + 45374211635443288*Sqrt[15]*lu1^9*f42[t]*g22[t] + 387189049440329600*Sqrt[15]*lu1^10*f42[t]*g22[t] + 563092825322960080*Sqrt[15]*lu1^11*f42[t]*g22[t] + 445145366328498400*Sqrt[15]*lu1^12*f42[t]*g22[t] + 228829179270496000*Sqrt[15]*lu1^13*f42[t]*g22[t] + 14978250*Sqrt[15]*f42n[t]*g22n[t] - 1095929946*Sqrt[15]*lu1*f42n[t]* g22n[t] + 33544009773*Sqrt[15]*lu1^2*f42n[t]*g22n[t] + 68163211553*Sqrt[15]*lu1^3*f42n[t]*g22n[t] - 7657058535534*Sqrt[15]* lu1^4*f42n[t]*g22n[t] - 36739375142144*Sqrt[15]*lu1^5*f42n[t]* g22n[t] + 717398144631161*Sqrt[15]*lu1^6*f42n[t]*g22n[t] + 4342248153707905*Sqrt[15]*lu1^7*f42n[t]*g22n[t] - 26484538540917202*Sqrt[15]*lu1^8*f42n[t]*g22n[t] + 45374211635443288*Sqrt[15]*lu1^9*f42n[t]*g22n[t] + 387189049440329600*Sqrt[15]*lu1^10*f42n[t]*g22n[t] + 563092825322960080*Sqrt[15]*lu1^11*f42n[t]*g22n[t] + 445145366328498400*Sqrt[15]*lu1^12*f42n[t]*g22n[t] + 228829179270496000*Sqrt[15]*lu1^13*f42n[t]*g22n[t] + 75917898*Sqrt[5]*f40[t]*g40[t] - 2549473191*Sqrt[5]*lu1*f40[t]* g40[t] - 16537920048*Sqrt[5]*lu1^2*f40[t]*g40[t] + 953640880629*Sqrt[5]*lu1^3*f40[t]*g40[t] - 3242555129760*Sqrt[5]* lu1^4*f40[t]*g40[t] - 55678774545453*Sqrt[5]*lu1^5*f40[t]*g40[t] + 551219684857296*Sqrt[5]*lu1^6*f40[t]*g40[t] - 3395065344066417* Sqrt[5]*lu1^7*f40[t]*g40[t] - 15391397071127130*Sqrt[5]*lu1^8* f40[t]*g40[t] + 271534340021372256*Sqrt[5]*lu1^9*f40[t]*g40[t] + 1041779811141827760*Sqrt[5]*lu1^10*f40[t]*g40[t] + 1479129948170588400*Sqrt[5]*lu1^11*f40[t]*g40[t] + 983182200635532000*Sqrt[5]*lu1^12*f40[t]*g40[t] + 251408339365680000*Sqrt[5]*lu1^13*f40[t]*g40[t] - 42324282*Sqrt[5]*f42[t]*g42[t] + 946097658*Sqrt[5]*lu1*f42[t]* g42[t] + 37698474627*Sqrt[5]*lu1^2*f42[t]*g42[t] - 536053511169*Sqrt[5]*lu1^3*f42[t]*g42[t] - 9093729948930*Sqrt[5]* lu1^4*f42[t]*g42[t] + 18660486160800*Sqrt[5]*lu1^5*f42[t]*g42[t] + 1255200792727959*Sqrt[5]*lu1^6*f42[t]*g42[t] + 9891217733312223*Sqrt[5]*lu1^7*f42[t]*g42[t] - 60447137931622926* Sqrt[5]*lu1^8*f42[t]*g42[t] - 737092601927523864*Sqrt[5]*lu1^9* f42[t]*g42[t] - 514535750750761344*Sqrt[5]*lu1^10*f42[t]*g42[t] + 3212581243643204400*Sqrt[5]*lu1^11*f42[t]*g42[t] + 4916481903009626400*Sqrt[5]*lu1^12*f42[t]*g42[t] + 1636895375327520000*Sqrt[5]*lu1^13*f42[t]*g42[t] + Sqrt[5]*f22[t]*(Sqrt[3]*(918721359 - 19525644963*lu1 - 256823427162*lu1^2 + 9035363191210*lu1^3 - 570987494422509*lu1^ 4 - 386812010795575*lu1^5 + 37968850447228016*lu1^6 + 505708287382416432*lu1^7 + 1247178416248641448*lu1^8 - 509826553336800464*lu1^9 + 967078293073470096*lu1^10 + 7298494758396621920*lu1^11 + 5387019444792724800*lu1^12 + 816684517082448000*lu1^13)*f42[t] - 11*(-1 + 7*lu1 + 170*lu1^2)^ 2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)* (13*(-5781 + 84437*lu1 - 142399*lu1^2 - 1199177*lu1^3 + 9284644*lu1^4 + 8150820*lu1^5)*g22[t] + 9*Sqrt[3]*(1059 - 5923*lu1 - 333399*lu1^2 + 868623*lu1^3 - 3681276*lu1^4 + 1444420*lu1^5)*g42[t])) - 42324282*Sqrt[5]*f42n[t]*g42n[t] + 946097658*Sqrt[5]*lu1*f42n[t]*g42n[t] + 37698474627*Sqrt[5]*lu1^2* f42n[t]*g42n[t] - 536053511169*Sqrt[5]*lu1^3*f42n[t]*g42n[t] - 9093729948930*Sqrt[5]*lu1^4*f42n[t]*g42n[t] + 18660486160800* Sqrt[5]*lu1^5*f42n[t]*g42n[t] + 1255200792727959*Sqrt[5]*lu1^6* f42n[t]*g42n[t] + 9891217733312223*Sqrt[5]*lu1^7*f42n[t]*g42n[t] - 60447137931622926*Sqrt[5]*lu1^8*f42n[t]*g42n[t] - 737092601927523864*Sqrt[5]*lu1^9*f42n[t]*g42n[t] - 514535750750761344*Sqrt[5]*lu1^10*f42n[t]*g42n[t] + 3212581243643204400*Sqrt[5]*lu1^11*f42n[t]*g42n[t] + 4916481903009626400*Sqrt[5]*lu1^12*f42n[t]*g42n[t] + 1636895375327520000*Sqrt[5]*lu1^13*f42n[t]*g42n[t] + Sqrt[5]*f22n[t]*(Sqrt[3]*(918721359 - 19525644963*lu1 - 256823427162*lu1^2 + 9035363191210*lu1^3 - 570987494422509*lu1^ 4 - 386812010795575*lu1^5 + 37968850447228016*lu1^6 + 505708287382416432*lu1^7 + 1247178416248641448*lu1^8 - 509826553336800464*lu1^9 + 967078293073470096*lu1^10 + 7298494758396621920*lu1^11 + 5387019444792724800*lu1^12 + 816684517082448000*lu1^13)*f42n[t] - 11*(-1 + 7*lu1 + 170*lu1^2)^2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*(13*(-5781 + 84437*lu1 - 142399*lu1^2 - 1199177*lu1^3 + 9284644*lu1^4 + 8150820*lu1^5)* g22n[t] + 9*Sqrt[3]*(1059 - 5923*lu1 - 333399*lu1^2 + 868623*lu1^3 - 3681276*lu1^4 + 1444420*lu1^5)*g42n[t])) - 96160932*Sqrt[5]*f44[t]*g44[t] + 3400710642*Sqrt[5]*lu1*f44[t]* g44[t] + 10582354188*Sqrt[5]*lu1^2*f44[t]*g44[t] - 1249926187986*Sqrt[5]*lu1^3*f44[t]*g44[t] + 13812314833800*Sqrt[5]* lu1^4*f44[t]*g44[t] + 29622325565070*Sqrt[5]*lu1^5*f44[t]*g44[t] - 2421410724625284*Sqrt[5]*lu1^6*f44[t]*g44[t] + 5641048970918802*Sqrt[5]*lu1^7*f44[t]*g44[t] + 107865913040465076* Sqrt[5]*lu1^8*f44[t]*g44[t] - 31234609318330656*Sqrt[5]*lu1^9* f44[t]*g44[t] - 1665936786299214240*Sqrt[5]*lu1^10*f44[t]*g44[t] - 4143959905670615520*Sqrt[5]*lu1^11*f44[t]*g44[t] - 3871297777170801600*Sqrt[5]*lu1^12*f44[t]*g44[t] - 1212979492688544000*Sqrt[5]*lu1^13*f44[t]*g44[t] - 96160932*Sqrt[5]*f44n[t]*g44n[t] + 3400710642*Sqrt[5]*lu1*f44n[t]* g44n[t] + 10582354188*Sqrt[5]*lu1^2*f44n[t]*g44n[t] - 1249926187986*Sqrt[5]*lu1^3*f44n[t]*g44n[t] + 13812314833800* Sqrt[5]*lu1^4*f44n[t]*g44n[t] + 29622325565070*Sqrt[5]*lu1^5* f44n[t]*g44n[t] - 2421410724625284*Sqrt[5]*lu1^6*f44n[t]*g44n[t] + 5641048970918802*Sqrt[5]*lu1^7*f44n[t]*g44n[t] + 107865913040465076*Sqrt[5]*lu1^8*f44n[t]*g44n[t] - 31234609318330656*Sqrt[5]*lu1^9*f44n[t]*g44n[t] - 1665936786299214240*Sqrt[5]*lu1^10*f44n[t]*g44n[t] - 4143959905670615520*Sqrt[5]*lu1^11*f44n[t]*g44n[t] - 3871297777170801600*Sqrt[5]*lu1^12*f44n[t]*g44n[t] - 1212979492688544000*Sqrt[5]*lu1^13*f44n[t]*g44n[t])))/ (51102051*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) - (5*((1 - 17*lu1)^2*(1 + 10*lu1)*Sqrt[3*Pi]* (11351340*Sqrt[30*Pi]*f42n[t] - 96486390*lu1*Sqrt[30*Pi]*f42n[t] - 94594500*lu1^2*Sqrt[30*Pi]*f42n[t] + 1266515250*lu1^3*Sqrt[30*Pi]* f42n[t] + 2053751700*lu1^4*Sqrt[30*Pi]*f42n[t] - 111831720*lu1^5*Sqrt[30*Pi]*f42n[t] - 607086480*lu1^6*Sqrt[30*Pi]* f42n[t] + 86454060*Sqrt[6]*f40[t]*f42n[t] + 4364231130*Sqrt[6]*lu1* f40[t]*f42n[t] + 23062092060*Sqrt[6]*lu1^2*f40[t]*f42n[t] + 49520422630*Sqrt[6]*lu1^3*f40[t]*f42n[t] - 20915761160*Sqrt[6]* lu1^4*f40[t]*f42n[t] - 46145406160*Sqrt[6]*lu1^5*f40[t]*f42n[t] + 20532476720*Sqrt[6]*lu1^6*f40[t]*f42n[t] - 61426728*Sqrt[105]* f42n[t]*f44[t] - 1156061644*Sqrt[105]*lu1*f42n[t]*f44[t] - 7635613032*Sqrt[105]*lu1^2*f42n[t]*f44[t] - 3759940596*Sqrt[105]* lu1^3*f42n[t]*f44[t] + 21159701392*Sqrt[105]*lu1^4*f42n[t]* f44[t] - 6578574560*Sqrt[105]*lu1^5*f42n[t]*f44[t] - 1016332960*Sqrt[105]*lu1^6*f42n[t]*f44[t] - 31840380*Sqrt[35]* f22[t]*f44n[t] - 663715338*Sqrt[35]*lu1*f22[t]*f44n[t] - 3847316616*Sqrt[35]*lu1^2*f22[t]*f44n[t] + 4580929782*Sqrt[35]* lu1^3*f22[t]*f44n[t] + 3889307136*Sqrt[35]*lu1^4*f22[t]*f44n[t] - 3240566472*Sqrt[35]*lu1^5*f22[t]*f44n[t] + 337036128*Sqrt[35]*lu1^6* f22[t]*f44n[t] + 61426728*Sqrt[105]*f42[t]*f44n[t] + 1156061644*Sqrt[105]*lu1*f42[t]*f44n[t] + 7635613032*Sqrt[105]* lu1^2*f42[t]*f44n[t] + 3759940596*Sqrt[105]*lu1^3*f42[t]*f44n[t] - 21159701392*Sqrt[105]*lu1^4*f42[t]*f44n[t] + 6578574560*Sqrt[105]* lu1^5*f42[t]*f44n[t] + 1016332960*Sqrt[105]*lu1^6*f42[t]*f44n[t] + 2149290*Sqrt[30]*f42n[t]*g20[t] - 27140685*Sqrt[30]*lu1*f42n[t]* g20[t] - 32665490*Sqrt[30]*lu1^2*f42n[t]*g20[t] + 577045755*Sqrt[30]*lu1^3*f42n[t]*g20[t] + 1104493390*Sqrt[30]*lu1^4* f42n[t]*g20[t] - 24152700*Sqrt[30]*lu1^5*f42n[t]*g20[t] - 333321560*Sqrt[30]*lu1^6*f42n[t]*g20[t] + 2764476*Sqrt[35]*f44n[t]* g22[t] + 7194330*Sqrt[35]*lu1*f44n[t]*g22[t] - 112226400*Sqrt[35]*lu1^2*f44n[t]*g22[t] - 394812990*Sqrt[35]*lu1^3* f44n[t]*g22[t] + 532852320*Sqrt[35]*lu1^4*f44n[t]*g22[t] + 1345553352*Sqrt[35]*lu1^5*f44n[t]*g22[t] - 749892000*Sqrt[35]*lu1^6* f44n[t]*g22[t] + 297297*Sqrt[10*Pi]*g22n[t] + 594594*lu1*Sqrt[10*Pi]*g22n[t] - 27450423*lu1^2*Sqrt[10*Pi]* g22n[t] - 5329324*lu1^3*Sqrt[10*Pi]*g22n[t] + 382830448*lu1^4*Sqrt[10*Pi]*g22n[t] + 726373648*lu1^5*Sqrt[10*Pi]* g22n[t] + 317997680*lu1^6*Sqrt[10*Pi]*g22n[t] + 2895750*Sqrt[2]*f40[t]*g22n[t] - 48114495*Sqrt[2]*lu1*f40[t]* g22n[t] + 287369940*Sqrt[2]*lu1^2*f40[t]*g22n[t] + 57788445*Sqrt[2]*lu1^3*f40[t]*g22n[t] - 3851587740*Sqrt[2]*lu1^4* f40[t]*g22n[t] - 3442630620*Sqrt[2]*lu1^5*f40[t]*g22n[t] + 2660486400*Sqrt[2]*lu1^6*f40[t]*g22n[t] - 2764476*Sqrt[35]*f44[t]* g22n[t] - 7194330*Sqrt[35]*lu1*f44[t]*g22n[t] + 112226400*Sqrt[35]*lu1^2*f44[t]*g22n[t] + 394812990*Sqrt[35]*lu1^3* f44[t]*g22n[t] - 532852320*Sqrt[35]*lu1^4*f44[t]*g22n[t] - 1345553352*Sqrt[35]*lu1^5*f44[t]*g22n[t] + 749892000*Sqrt[35]*lu1^6* f44[t]*g22n[t] - 429*(-2 + lu1)*f22n[t]* (7*Sqrt[2]*(-14973 - 123010*lu1 - 252393*lu1^2 + 4815692*lu1^3 + 3887004*lu1^4 + 1181120*lu1^5)*f40[t] + 2*Sqrt[35]* (18555 + 396058*lu1 + 2440055*lu1^2 - 1449512*lu1^3 - 2991252*lu1^4 + 392816*lu1^5)*f44[t] + 33*Sqrt[2]* (3 - 19*lu1)^2*(3 + 38*lu1 + 84*lu1^2 + 40*lu1^3)* (Sqrt[5]*g20[t] - 4*g40[t])) + 2238210*Sqrt[6]*f42n[t]*g40[t] + 16462095*Sqrt[6]*lu1*f42n[t]*g40[t] + 40367210*Sqrt[6]*lu1^2* f42n[t]*g40[t] - 1099236645*Sqrt[6]*lu1^3*f42n[t]*g40[t] - 2457574210*Sqrt[6]*lu1^4*f42n[t]*g40[t] - 10137660*Sqrt[6]*lu1^5* f42n[t]*g40[t] + 753794600*Sqrt[6]*lu1^6*f42n[t]*g40[t] + 1361412*Sqrt[105]*f44n[t]*g42[t] + 8889582*Sqrt[105]*lu1*f44n[t]* g42[t] - 70804500*Sqrt[105]*lu1^2*f44n[t]*g42[t] - 316939610*Sqrt[105]*lu1^3*f44n[t]*g42[t] + 268106020*Sqrt[105]* lu1^4*f44n[t]*g42[t] + 901779944*Sqrt[105]*lu1^5*f44n[t]*g42[t] - 474172816*Sqrt[105]*lu1^6*f44n[t]*g42[t] - 243243*Sqrt[30*Pi]* g42n[t] - 486486*lu1*Sqrt[30*Pi]*g42n[t] + 22459437*lu1^2* Sqrt[30*Pi]*g42n[t] + 4360356*lu1^3*Sqrt[30*Pi]*g42n[t] - 313224912*lu1^4*Sqrt[30*Pi]*g42n[t] - 594305712*lu1^5*Sqrt[30*Pi]* g42n[t] - 260179920*lu1^6*Sqrt[30*Pi]*g42n[t] - 1681290*Sqrt[6]*f40[t]*g42n[t] - 1376115*Sqrt[6]*lu1*f40[t]* g42n[t] + 221678210*Sqrt[6]*lu1^2*f40[t]*g42n[t] - 364456495*Sqrt[6]*lu1^3*f40[t]*g42n[t] - 3221191610*Sqrt[6]*lu1^4* f40[t]*g42n[t] - 2259504260*Sqrt[6]*lu1^5*f40[t]*g42n[t] + 1966821480*Sqrt[6]*lu1^6*f40[t]*g42n[t] - 1361412*Sqrt[105]*f44[t]* g42n[t] - 8889582*Sqrt[105]*lu1*f44[t]*g42n[t] + 70804500*Sqrt[105]*lu1^2*f44[t]*g42n[t] + 316939610*Sqrt[105]*lu1^3* f44[t]*g42n[t] - 268106020*Sqrt[105]*lu1^4*f44[t]*g42n[t] - 901779944*Sqrt[105]*lu1^5*f44[t]*g42n[t] + 474172816*Sqrt[105]* lu1^6*f44[t]*g42n[t] + 143*Sqrt[10]*(-6 - 13*lu1 + 4*lu1^3)*f20[t]* (1386*(3 - 58*lu1 - 443*lu1^2 + 4370*lu1^3)*f22n[t] - 7*Sqrt[3]*(855 + 67096*lu1 + 69699*lu1^2 + 3854*lu1^3)*f42n[t] + 33*(3 - 19*lu1)^2*(1 + 10*lu1)*(3*g22n[t] + 2*Sqrt[3]*g42n[t])) + 206388*Sqrt[105]*f42n[t]*g44[t] - 1754298*Sqrt[105]*lu1*f42n[t]* g44[t] - 1719900*Sqrt[105]*lu1^2*f42n[t]*g44[t] + 23027550*Sqrt[105]*lu1^3*f42n[t]*g44[t] + 37340940*Sqrt[105]*lu1^4* f42n[t]*g44[t] - 2033304*Sqrt[105]*lu1^5*f42n[t]*g44[t] - 11037936*Sqrt[105]*lu1^6*f42n[t]*g44[t] - 206388*Sqrt[105]*f42[t]* g44n[t] + 1754298*Sqrt[105]*lu1*f42[t]*g44n[t] + 1719900*Sqrt[105]*lu1^2*f42[t]*g44n[t] - 23027550*Sqrt[105]*lu1^3* f42[t]*g44n[t] - 37340940*Sqrt[105]*lu1^4*f42[t]*g44n[t] + 2033304*Sqrt[105]*lu1^5*f42[t]*g44n[t] + 11037936*Sqrt[105]*lu1^6* f42[t]*g44n[t]) - 308*cap*(1 + 2*lu1)^2*(-9 + 51*lu1 + 38*lu1^2)* Sqrt[Pi]*(858*(-27 + 511*lu1 + 1043*lu1^2 - 49779*lu1^3 + 248440*lu1^4 + 695300*lu1^5)*f20[t]^2 + 286*(-27 + 511*lu1 + 1043*lu1^2 - 49779*lu1^3 + 248440*lu1^4 + 695300*lu1^5)*f22[t]^2 - 7722*f22n[t]^2 + 146146*lu1*f22n[t]^2 + 298298*lu1^2*f22n[t]^2 - 14236794*lu1^3*f22n[t]^2 + 71053840*lu1^4*f22n[t]^2 + 198855800*lu1^5*f22n[t]^2 + 54054*Sqrt[Pi]*f40[t] - 882882*lu1*Sqrt[Pi]*f40[t] - 5171166*lu1^2*Sqrt[Pi]*f40[t] + 85783698*lu1^3*Sqrt[Pi]*f40[t] - 106666560*lu1^4*Sqrt[Pi]*f40[t] - 581981400*lu1^5*Sqrt[Pi]*f40[t] - 465102*f40[t]^2 + 117126*lu1*f40[t]^2 - 52214382*lu1^2*f40[t]^2 + 323584146*lu1^3*f40[t]^2 + 787762260*lu1^4*f40[t]^2 - 153284400*lu1^5*f40[t]^2 + 568458*f42[t]^2 - 143154*lu1*f42[t]^2 + 63817578*lu1^2*f42[t]^2 - 395491734*lu1^3*f42[t]^2 - 962820540*lu1^4*f42[t]^2 + 187347600*lu1^5*f42[t]^2 + 358020*Sqrt[3]*f22n[t]*f42n[t] - 2628054*Sqrt[3]*lu1*f22n[t]* f42n[t] + 28829034*Sqrt[3]*lu1^2*f22n[t]*f42n[t] - 274996566*Sqrt[3]*lu1^3*f22n[t]*f42n[t] - 1315584270*Sqrt[3]*lu1^4* f22n[t]*f42n[t] - 64408500*Sqrt[3]*lu1^5*f22n[t]*f42n[t] + 568458*f42n[t]^2 - 143154*lu1*f42n[t]^2 + 63817578*lu1^2* f42n[t]^2 - 395491734*lu1^3*f42n[t]^2 - 962820540*lu1^4* f42n[t]^2 + 187347600*lu1^5*f42n[t]^2 - 723492*f44[t]^2 + 182196*lu1*f44[t]^2 - 81222372*lu1^2*f44[t]^2 + 503353116*lu1^3*f44[t]^2 + 1225407960*lu1^4*f44[t]^2 - 238442400*lu1^5*f44[t]^2 - 723492*f44n[t]^2 + 182196*lu1*f44n[t]^2 - 81222372*lu1^2*f44n[t]^2 + 503353116*lu1^3*f44n[t]^2 + 1225407960*lu1^4*f44n[t]^2 - 238442400*lu1^5*f44n[t]^2 + 5967*Sqrt[5]*f40[t]*g20[t] - 97461*Sqrt[5]*lu1*f40[t]*g20[t] - 570843*Sqrt[5]*lu1^2*f40[t]* g20[t] + 9469629*Sqrt[5]*lu1^3*f40[t]*g20[t] - 11774880*Sqrt[5]*lu1^4*f40[t]*g20[t] - 64244700*Sqrt[5]*lu1^5* f40[t]*g20[t] - 17901*Sqrt[3]*f42[t]*g22[t] + 292383*Sqrt[3]*lu1* f42[t]*g22[t] + 1712529*Sqrt[3]*lu1^2*f42[t]*g22[t] - 28408887*Sqrt[3]*lu1^3*f42[t]*g22[t] + 35324640*Sqrt[3]*lu1^4* f42[t]*g22[t] + 192734100*Sqrt[3]*lu1^5*f42[t]*g22[t] + 858*f22n[t]*g22n[t] - 14586*lu1*f22n[t]*g22n[t] - 213642*lu1^2*f22n[t]*g22n[t] + 2791074*lu1^3*f22n[t]*g22n[t] + 18670080*lu1^4*f22n[t]*g22n[t] - 74388600*lu1^5*f22n[t]*g22n[t] - 17901*Sqrt[3]*f42n[t]*g22n[t] + 292383*Sqrt[3]*lu1*f42n[t]* g22n[t] + 1712529*Sqrt[3]*lu1^2*f42n[t]*g22n[t] - 28408887*Sqrt[3]*lu1^3*f42n[t]*g22n[t] + 35324640*Sqrt[3]*lu1^4* f42n[t]*g22n[t] + 192734100*Sqrt[3]*lu1^5*f42n[t]*g22n[t] + 6561*f40[t]*g40[t] - 107163*lu1*f40[t]*g40[t] - 627669*lu1^2*f40[t]*g40[t] + 10412307*lu1^3*f40[t]*g40[t] - 12947040*lu1^4*f40[t]*g40[t] - 70640100*lu1^5*f40[t]*g40[t] + 78*f20[t]*(Sqrt[5]*(-1530 + 11231*lu1 - 123201*lu1^2 + 1175199*lu1^3 + 5622155*lu1^4 + 275250*lu1^5)*f40[t] - 3*(-1 + 3*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(11*g20[t] + Sqrt[5]*g40[t])) - 8019*f42[t]*g42[t] + 130977*lu1*f42[t]* g42[t] + 767151*lu1^2*f42[t]*g42[t] - 12726153*lu1^3*f42[t]* g42[t] + 15824160*lu1^4*f42[t]*g42[t] + 86337900*lu1^5*f42[t]* g42[t] - 78*f22[t]*(3*Sqrt[3]*(-1530 + 11231*lu1 - 123201*lu1^2 + 1175199*lu1^3 + 5622155*lu1^4 + 275250*lu1^5)*f42[t] + (-1 + 3*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(11*g22[t] - 9*Sqrt[3]*g42[t])) - 702*Sqrt[3]*f22n[t]*g42n[t] + 11934*Sqrt[3]*lu1*f22n[t]*g42n[t] + 174798*Sqrt[3]*lu1^2*f22n[t]* g42n[t] - 2283606*Sqrt[3]*lu1^3*f22n[t]*g42n[t] - 15275520*Sqrt[3]*lu1^4*f22n[t]*g42n[t] + 60863400*Sqrt[3]*lu1^5* f22n[t]*g42n[t] - 8019*f42n[t]*g42n[t] + 130977*lu1*f42n[t]* g42n[t] + 767151*lu1^2*f42n[t]*g42n[t] - 12726153*lu1^3*f42n[t]* g42n[t] + 15824160*lu1^4*f42n[t]*g42n[t] + 86337900*lu1^5*f42n[t]* g42n[t] + 10206*f44[t]*g44[t] - 166698*lu1*f44[t]*g44[t] - 976374*lu1^2*f44[t]*g44[t] + 16196922*lu1^3*f44[t]*g44[t] - 20139840*lu1^4*f44[t]*g44[t] - 109884600*lu1^5*f44[t]*g44[t] + 10206*f44n[t]*g44n[t] - 166698*lu1*f44n[t]*g44n[t] - 976374*lu1^2*f44n[t]*g44n[t] + 16196922*lu1^3*f44n[t]*g44n[t] - 20139840*lu1^4*f44n[t]*g44n[t] - 109884600*lu1^5*f44n[t]*g44n[t]) + 154*(1 + 2*lu1)^2*(-9 + 51*lu1 + 38*lu1^2)*mar*Sqrt[Pi]* (5148*(-13 + 489*lu1 - 1643*lu1^2 - 64021*lu1^3 + 208200*lu1^4 + 651100*lu1^5)*f20[t]^2 + 1716*(-13 + 489*lu1 - 1643*lu1^2 - 64021*lu1^3 + 208200*lu1^4 + 651100*lu1^5)*f22[t]^2 - 22308*f22n[t]^2 + 839124*lu1*f22n[t]^2 - 2819388*lu1^2*f22n[t]^2 - 109860036*lu1^3*f22n[t]^2 + 357271200*lu1^4*f22n[t]^2 + 1117287600*lu1^5*f22n[t]^2 + 96096*Sqrt[Pi]*f40[t] - 2290288*lu1*Sqrt[Pi]*f40[t] - 1025024*lu1^2*Sqrt[Pi]*f40[t] + 262294032*lu1^3*Sqrt[Pi]*f40[t] - 784463680*lu1^4*Sqrt[Pi]*f40[t] - 2586584000*lu1^5*Sqrt[Pi]*f40[t] - 744066*f40[t]^2 + 12123918*lu1*f40[t]^2 - 119893446*lu1^2*f40[t]^2 + 274144338*lu1^3*f40[t]^2 + 1177234560*lu1^4*f40[t]^2 + 80951400*lu1^5*f40[t]^2 + 909414*f42[t]^2 - 14818122*lu1*f42[t]^2 + 146536434*lu1^2*f42[t]^2 - 335065302*lu1^3*f42[t]^2 - 1438842240*lu1^4*f42[t]^2 - 98940600*lu1^5*f42[t]^2 + 538668*Sqrt[3]*f22n[t]*f42n[t] - 17267640*Sqrt[3]*lu1*f22n[t]* f42n[t] + 149420544*Sqrt[3]*lu1^2*f22n[t]*f42n[t] + 723614112*Sqrt[3]*lu1^3*f22n[t]*f42n[t] - 2575900860*Sqrt[3]*lu1^4* f22n[t]*f42n[t] - 3009466200*Sqrt[3]*lu1^5*f22n[t]*f42n[t] + 909414*f42n[t]^2 - 14818122*lu1*f42n[t]^2 + 146536434*lu1^2* f42n[t]^2 - 335065302*lu1^3*f42n[t]^2 - 1438842240*lu1^4* f42n[t]^2 - 98940600*lu1^5*f42n[t]^2 - 1157436*f44[t]^2 + 18859428*lu1*f44[t]^2 - 186500916*lu1^2*f44[t]^2 + 426446748*lu1^3*f44[t]^2 + 1831253760*lu1^4*f44[t]^2 + 125924400*lu1^5*f44[t]^2 - 1157436*f44n[t]^2 + 18859428*lu1*f44n[t]^2 - 186500916*lu1^2*f44n[t]^2 + 426446748*lu1^3*f44n[t]^2 + 1831253760*lu1^4*f44n[t]^2 + 125924400*lu1^5*f44n[t]^2 - 2535*Sqrt[5]*f40[t]*g20[t] - 1299805*Sqrt[5]*lu1*f40[t]*g20[t] + 9774505*Sqrt[5]*lu1^2*f40[t]* g20[t] + 227333145*Sqrt[5]*lu1^3*f40[t]*g20[t] - 49881910*Sqrt[5]*lu1^4*f40[t]*g20[t] - 713078600*Sqrt[5]*lu1^5* f40[t]*g20[t] + 1287*g20[t]^2 - 9009*lu1*g20[t]^2 - 500643*lu1^2*g20[t]^2 + 441441*lu1^3*g20[t]^2 + 58635720*lu1^4*g20[t]^2 + 260360100*lu1^5*g20[t]^2 + 7605*Sqrt[3]*f42[t]*g22[t] + 3899415*Sqrt[3]*lu1*f42[t]*g22[t] - 29323515*Sqrt[3]*lu1^2*f42[t]*g22[t] - 681999435*Sqrt[3]*lu1^3* f42[t]*g22[t] + 149645730*Sqrt[3]*lu1^4*f42[t]*g22[t] + 2139235800*Sqrt[3]*lu1^5*f42[t]*g22[t] + 429*g22[t]^2 - 3003*lu1*g22[t]^2 - 166881*lu1^2*g22[t]^2 + 147147*lu1^3*g22[t]^2 + 19545240*lu1^4*g22[t]^2 + 86786700*lu1^5*g22[t]^2 + 4719*f22n[t]*g22n[t] - 277849*lu1*f22n[t]*g22n[t] + 1281709*lu1^2*f22n[t]*g22n[t] + 42740841*lu1^3*f22n[t]*g22n[t] - 88934560*lu1^4*f22n[t]*g22n[t] - 631330700*lu1^5*f22n[t]*g22n[t] + 7605*Sqrt[3]*f42n[t]*g22n[t] + 3899415*Sqrt[3]*lu1*f42n[t]* g22n[t] - 29323515*Sqrt[3]*lu1^2*f42n[t]*g22n[t] - 681999435*Sqrt[3]*lu1^3*f42n[t]*g22n[t] + 149645730*Sqrt[3]*lu1^4* f42n[t]*g22n[t] + 2139235800*Sqrt[3]*lu1^5*f42n[t]*g22n[t] + 429*g22n[t]^2 - 3003*lu1*g22n[t]^2 - 166881*lu1^2*g22n[t]^2 + 147147*lu1^3*g22n[t]^2 + 19545240*lu1^4*g22n[t]^2 + 86786700*lu1^5*g22n[t]^2 + 6006*Sqrt[Pi]*g40[t] + 262262*lu1*Sqrt[Pi]*g40[t] - 4658654*lu1^2*Sqrt[Pi]*g40[t] - 45363318*lu1^3*Sqrt[Pi]*g40[t] + 285565280*lu1^4*Sqrt[Pi]*g40[t] + 711310600*lu1^5*Sqrt[Pi]*g40[t] - 85779*f40[t]*g40[t] - 6413823*lu1*f40[t]*g40[t] + 11000691*lu1^2*f40[t]*g40[t] + 251385687*lu1^3*f40[t]*g40[t] - 104041260*lu1^4*f40[t]*g40[t] - 1025743500*lu1^5*f40[t]*g40[t] + 780*Sqrt[5]*g20[t]*g40[t] + 28132*Sqrt[5]*lu1*g20[t]*g40[t] - 559780*Sqrt[5]*lu1^2*g20[t]* g40[t] - 4967508*Sqrt[5]*lu1^3*g20[t]*g40[t] + 36853960*Sqrt[5]*lu1^4*g20[t]*g40[t] + 102190400*Sqrt[5]*lu1^5* g20[t]*g40[t] + 729*g40[t]^2 + 31833*lu1*g40[t]^2 - 565461*lu1^2*g40[t]^2 - 5506137*lu1^3*g40[t]^2 + 34661520*lu1^4*g40[t]^2 + 86337900*lu1^5*g40[t]^2 + 13*f20[t]*(4*Sqrt[5]*(-3453 + 110690*lu1 - 957824*lu1^2 - 4638552*lu1^3 + 16512185*lu1^4 + 19291450*lu1^5)*f40[t] - 3*(11*(-33 + 1943*lu1 - 8963*lu1^2 - 298887*lu1^3 + 621920*lu1^4 + 4414900*lu1^5)*g20[t] + Sqrt[5]*(465 + 26831*lu1 - 176747*lu1^2 - 770763*lu1^3 + 3094790*lu1^4 + 9523600*lu1^5)*g40[t])) + 104841*f42[t]*g42[t] + 7839117*lu1*f42[t]*g42[t] - 13445289*lu1^2*f42[t]*g42[t] - 307249173*lu1^3*f42[t]*g42[t] + 127161540*lu1^4*f42[t]*g42[t] + 1253686500*lu1^5*f42[t]*g42[t] - 2340*Sqrt[3]*g22[t]*g42[t] - 84396*Sqrt[3]*lu1*g22[t]*g42[t] + 1679340*Sqrt[3]*lu1^2*g22[t]* g42[t] + 14902524*Sqrt[3]*lu1^3*g22[t]*g42[t] - 110561880*Sqrt[3]*lu1^4*g22[t]*g42[t] - 306571200*Sqrt[3]*lu1^5* g22[t]*g42[t] - 891*g42[t]^2 - 38907*lu1*g42[t]^2 + 691119*lu1^2*g42[t]^2 + 6729723*lu1^3*g42[t]^2 - 42364080*lu1^4*g42[t]^2 - 105524100*lu1^5*g42[t]^2 - 13*f22[t]*(12*Sqrt[3]*(-3453 + 110690*lu1 - 957824*lu1^2 - 4638552*lu1^3 + 16512185*lu1^4 + 19291450*lu1^5)*f42[t] + 11*(-33 + 1943*lu1 - 8963*lu1^2 - 298887*lu1^3 + 621920*lu1^4 + 4414900*lu1^5)*g22[t] - 9*Sqrt[3]*(465 + 26831*lu1 - 176747*lu1^2 - 770763*lu1^3 + 3094790*lu1^4 + 9523600*lu1^5)* g42[t]) + 54405*Sqrt[3]*f22n[t]*g42n[t] + 3139227*Sqrt[3]*lu1* f22n[t]*g42n[t] - 20679399*Sqrt[3]*lu1^2*f22n[t]*g42n[t] - 90179271*Sqrt[3]*lu1^3*f22n[t]*g42n[t] + 362090430*Sqrt[3]*lu1^4* f22n[t]*g42n[t] + 1114261200*Sqrt[3]*lu1^5*f22n[t]*g42n[t] + 104841*f42n[t]*g42n[t] + 7839117*lu1*f42n[t]*g42n[t] - 13445289*lu1^2*f42n[t]*g42n[t] - 307249173*lu1^3*f42n[t]*g42n[t] + 127161540*lu1^4*f42n[t]*g42n[t] + 1253686500*lu1^5*f42n[t]* g42n[t] - 2340*Sqrt[3]*g22n[t]*g42n[t] - 84396*Sqrt[3]*lu1*g22n[t]* g42n[t] + 1679340*Sqrt[3]*lu1^2*g22n[t]*g42n[t] + 14902524*Sqrt[3]*lu1^3*g22n[t]*g42n[t] - 110561880*Sqrt[3]*lu1^4* g22n[t]*g42n[t] - 306571200*Sqrt[3]*lu1^5*g22n[t]*g42n[t] - 891*g42n[t]^2 - 38907*lu1*g42n[t]^2 + 691119*lu1^2*g42n[t]^2 + 6729723*lu1^3*g42n[t]^2 - 42364080*lu1^4*g42n[t]^2 - 105524100*lu1^5*g42n[t]^2 - 133434*f44[t]*g44[t] - 9977058*lu1*f44[t]*g44[t] + 17112186*lu1^2*f44[t]*g44[t] + 391044402*lu1^3*f44[t]*g44[t] - 161841960*lu1^4*f44[t]*g44[t] - 1595601000*lu1^5*f44[t]*g44[t] + 1134*g44[t]^2 + 49518*lu1*g44[t]^2 - 879606*lu1^2*g44[t]^2 - 8565102*lu1^3* g44[t]^2 + 53917920*lu1^4*g44[t]^2 + 134303400*lu1^5*g44[t]^2 - 133434*f44n[t]*g44n[t] - 9977058*lu1*f44n[t]*g44n[t] + 17112186*lu1^2*f44n[t]*g44n[t] + 391044402*lu1^3*f44n[t]*g44n[t] - 161841960*lu1^4*f44n[t]*g44n[t] - 1595601000*lu1^5*f44n[t]* g44n[t] + 1134*g44n[t]^2 + 49518*lu1*g44n[t]^2 - 879606*lu1^2*g44n[t]^2 - 8565102*lu1^3*g44n[t]^2 + 53917920*lu1^4*g44n[t]^2 + 134303400*lu1^5*g44n[t]^2)))/ (231231*(1 + 2*lu1)^3*(3 + 2*lu1)*(3 - 40*lu1 - 377*lu1^2 + 3230*lu1^3)^ 2*Pi) + (mar*(2844270*Sqrt[5]*(-2928879 + 287766027*lu1 + 945419067*lu1^2 - 715484755845*lu1^3 + 10928472443049*lu1^4 + 380889119116405*lu1^5 - 6882261650267183*lu1^6 - 39103334839639751*lu1^7 + 751340501558206130*lu1^8 + 1158951494470274108*lu1^9 - 15948633704922275224*lu1^10 - 8977315170270410864*lu1^11 + 187226613258804907360*lu1^12 + 456258665540056936000*lu1^13 + 388597379661573264000*lu1^14 + 111374476320824640000*lu1^15)*f20[t]^3 - 782083968857820*f40[t]^3 + 14389282989050220*lu1*f40[t]^3 + 1308281677725023820*lu1^2*f40[t]^3 + 55213812234820570860*lu1^3*f40[t]^3 - 1412666920029610044540*lu1^4* f40[t]^3 - 68416745957997852878700*lu1^5*f40[t]^3 + 1080492806893204506303460*lu1^6*f40[t]^3 + 5180528491105591851703140* lu1^7*f40[t]^3 - 144292666976089642932575480*lu1^8*f40[t]^3 + 302392009634649607668196720*lu1^9*f40[t]^3 + 2790033319357409133016024480*lu1^10*f40[t]^3 - 2681285486441557501574413760*lu1^11*f40[t]^3 - 25586798287712110226367350400*lu1^12*f40[t]^3 - 35202060776901197876832608000*lu1^13*f40[t]^3 - 15630688466419602699103680000*lu1^14*f40[t]^3 - 1494489184284024138873600000*lu1^15*f40[t]^3 - 137561620037400*Sqrt[3]*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) + 5642187371180100*Sqrt[3]*lu1* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) + 261523137971686500*Sqrt[3]*lu1^2*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) - 8406338190154316100*Sqrt[3]*lu1^3* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) + 18832215367917318900*Sqrt[3]*lu1^4*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) - 1768971133354834441500*Sqrt[3]*lu1^5* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) - 32753434108576260124500*Sqrt[3]*lu1^6*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) + 624705296219179898622900*Sqrt[3]*lu1^7* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) - 5912470644668212983434700*Sqrt[3]*lu1^8*(f22[t] - I*f22n[t])*f40[t]* (f42[t] + I*f42n[t]) + 61390117204729160027629800*Sqrt[3]*lu1^9* (f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) + 541132214135968771746237600*Sqrt[3]*lu1^10*(f22[t] - I*f22n[t])* f40[t]*(f42[t] + I*f42n[t]) + 1022043599830626418873401600*Sqrt[3]* lu1^11*(f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) + 271941425123038605827380800*Sqrt[3]*lu1^12*(f22[t] - I*f22n[t])* f40[t]*(f42[t] + I*f42n[t]) - 1307969742183154207997424000*Sqrt[3]* lu1^13*(f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) - 1366568875293934999989120000*Sqrt[3]*lu1^14*(f22[t] - I*f22n[t])* f40[t]*(f42[t] + I*f42n[t]) - 149173913514127555872000000*Sqrt[3]* lu1^15*(f22[t] - I*f22n[t])*f40[t]*(f42[t] + I*f42n[t]) - 172867021083720*f40[t]*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 64115648912887560*lu1*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) + 2680887862961544600*lu1^2*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 301214164382623403640* lu1^3*f40[t]*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 11487336253379565298200*lu1^4*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) - 132993269807030518875960*lu1^5*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 4966841433917170912772360*lu1^6*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) + 5375846167309687835671080*lu1^7*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 465536594147110045512435520*lu1^8*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) + 668408194703140555338797600*lu1^9*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 9183929542079378177416213760*lu1^10*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) - 854452915933294157849357440*lu1^11*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 63584026363594763505399075840*lu1^12*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) - 97494404397534171377160716800*lu1^13*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) - 46492896216173684669409024000*lu1^14*f40[t]*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t]) - 5211947788934928317337600000*lu1^15*f40[t]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t]) + 59627182141368*Sqrt[70]* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 3981180638185200*Sqrt[70]*lu1*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) + 2756764607635584*Sqrt[70]*lu1^2* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) + 8176565996270668368* Sqrt[70]*lu1^3*(f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 371228674856586223248*Sqrt[70]*lu1^4*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) + 164580947527079437776*Sqrt[70]*lu1^5* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) + 120250963719889795721376*Sqrt[70]*lu1^6*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) - 213651892067206965760080*Sqrt[70]*lu1^7* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 7583625436925603984883624*Sqrt[70]*lu1^8*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) + 2726750375736057428674464*Sqrt[70]*lu1^9* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) + 154451267287052567630749920*Sqrt[70]*lu1^10*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) + 193205059583563750512834432*Sqrt[70]*lu1^11* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 531875562350166130828473216*Sqrt[70]*lu1^12*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) - 1161012121874218955292664320*Sqrt[70]*lu1^13* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 652779397857191968765785600*Sqrt[70]*lu1^14*(f42[t] + I*f42n[t])^2* (f44[t] - I*f44n[t]) - 95270118015723430268160000*Sqrt[70]*lu1^15* (f42[t] + I*f42n[t])^2*(f44[t] - I*f44n[t]) - 12357695069460*Sqrt[70]*(f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 999988552653480*Sqrt[70]*lu1*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) + 9169644726056880*Sqrt[70]*lu1^2* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) - 2285807921757144720* Sqrt[70]*lu1^3*(f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 33972162489104375640*Sqrt[70]*lu1^4*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) + 943577173913413752960*Sqrt[70]*lu1^5* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) - 20462999950652594219040*Sqrt[70]*lu1^6*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) - 12830336421254408525040*Sqrt[70]*lu1^7* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 873738230006897086725660*Sqrt[70]*lu1^8*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) - 332977345551456346426920*Sqrt[70]*lu1^9* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) - 4371522349773102427041840*Sqrt[70]*lu1^10*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) + 17020940202956049857952000*Sqrt[70]*lu1^11* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 110360359216431452247662400*Sqrt[70]*lu1^12*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) + 248388231763111712702102400*Sqrt[70]*lu1^13* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 231556160746308298773600000*Sqrt[70]*lu1^14*(f22[t] - I*f22n[t])^2* (f44[t] + I*f44n[t]) + 65287836397786387432320000*Sqrt[70]*lu1^15* (f22[t] - I*f22n[t])^2*(f44[t] + I*f44n[t]) + 76634146630080*Sqrt[210]*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) - 4156295675592060*Sqrt[210]*lu1* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 106453373964104700*Sqrt[210]*lu1^2*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 7193492471127537900* Sqrt[210]*lu1^3*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) - 82755956867408907420*Sqrt[210]*lu1^4* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 247261478928059444940*Sqrt[210]*lu1^5*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 30490717034838564966540* Sqrt[210]*lu1^6*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t]) - 163459866147094567032060*Sqrt[210]*lu1^7* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 2369633039436383361720300*Sqrt[210]*lu1^8*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 23500266686160272775747240*Sqrt[210]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 271727542826470903034460000*Sqrt[210]*lu1^10*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 529932110367706818598769280*Sqrt[210]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) - 4412435619024205542918720*Sqrt[210]*lu1^12*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 798635541538399378324617600*Sqrt[210]*lu1^13*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 638933625063795319614720000*Sqrt[210]*lu1^14*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 93530596662292265199360000*Sqrt[210]*lu1^15*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t]) + 59627182141368*Sqrt[70]* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 3981180638185200*Sqrt[70]*lu1*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) + 2756764607635584*Sqrt[70]*lu1^2* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) + 8176565996270668368* Sqrt[70]*lu1^3*(f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 371228674856586223248*Sqrt[70]*lu1^4*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) + 164580947527079437776*Sqrt[70]*lu1^5* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) + 120250963719889795721376*Sqrt[70]*lu1^6*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 213651892067206965760080*Sqrt[70]*lu1^7* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 7583625436925603984883624*Sqrt[70]*lu1^8*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) + 2726750375736057428674464*Sqrt[70]*lu1^9* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) + 154451267287052567630749920*Sqrt[70]*lu1^10*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) + 193205059583563750512834432*Sqrt[70]*lu1^11* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 531875562350166130828473216*Sqrt[70]*lu1^12*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 1161012121874218955292664320*Sqrt[70]*lu1^13* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 652779397857191968765785600*Sqrt[70]*lu1^14*(f42[t] - I*f42n[t])^2* (f44[t] + I*f44n[t]) - 95270118015723430268160000*Sqrt[70]*lu1^15* (f42[t] - I*f42n[t])^2*(f44[t] + I*f44n[t]) - 3154226128152120*f40[t]*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) + 134943382996372440*lu1*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) + 2543049632579765400*lu1^2*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 107614135430910014760* lu1^3*f40[t]*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) + 7074097489449745864200*lu1^4*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) - 141222317183384490764760*lu1^5*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 1045706752077318873296440*lu1^6*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) + 16058440770670036123675080*lu1^7*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 86355322300829846268254320*lu1^8*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) + 532070675916337683905074400*lu1^9*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) + 1461366177726749795878717760*lu1^10*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) - 10514705895111481683491079040*lu1^11*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 36990248246086456963975415040*lu1^12*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) - 39443798303823223612527500800*lu1^13*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 13853926323314086231119744000*lu1^14*f40[t]*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t]) - 448441888148756803929600000*lu1^15*f40[t]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t]) - 14154198973200*Sqrt[5]* f40[t]^2*g20[t] - 5130889555662000*Sqrt[5]*lu1*f40[t]^2*g20[t] + 247475921883886800*Sqrt[5]*lu1^2*f40[t]^2*g20[t] + 14047925728960749600*Sqrt[5]*lu1^3*f40[t]^2*g20[t] - 447902091292683502800*Sqrt[5]*lu1^4*f40[t]^2*g20[t] - 8838034451304320901600*Sqrt[5]*lu1^5*f40[t]^2*g20[t] + 151189226302417086934800*Sqrt[5]*lu1^6*f40[t]^2*g20[t] + 2148407498967546022221600*Sqrt[5]*lu1^7*f40[t]^2*g20[t] - 9889220060168738473360800*Sqrt[5]*lu1^8*f40[t]^2*g20[t] - 185940700723802513575335600*Sqrt[5]*lu1^9*f40[t]^2*g20[t] - 621397109901679868206850400*Sqrt[5]*lu1^10*f40[t]^2*g20[t] - 616879746343082437318022400*Sqrt[5]*lu1^11*f40[t]^2*g20[t] + 82122464907468091518048000*Sqrt[5]*lu1^12*f40[t]^2*g20[t] + 228091296601331046812448000*Sqrt[5]*lu1^13*f40[t]^2*g20[t] - 139427107651923226349760000*Sqrt[5]*lu1^14*f40[t]^2*g20[t] - 114304542756002563910400000*Sqrt[5]*lu1^15*f40[t]^2*g20[t] + 615499749540*Sqrt[15]*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* g20[t] - 153824799906180*Sqrt[15]*lu1*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 4960944298411920*Sqrt[15]*lu1^2* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 329024132252796240*Sqrt[15]*lu1^3*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] - 12302915056891045080*Sqrt[15]*lu1^4* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] - 152216042489602776360*Sqrt[15]*lu1^5*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 3624790710628689476160*Sqrt[15]*lu1^6* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 120839900866575698608320*Sqrt[15]*lu1^7*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] - 390336862064080508872620*Sqrt[15]* lu1^8*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] - 19790026789444965891775860*Sqrt[15]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] - 84178356004847852453749680*Sqrt[15]* lu1^10*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] - 66819586267658707044160560*Sqrt[15]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 359086331016084437212973760*Sqrt[15]* lu1^12*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] + 682525467453265256240596800*Sqrt[15]*lu1^13*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 287710781304836423989728000*Sqrt[15]* lu1^14*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g20[t] - 17843270707265126891040000*Sqrt[15]*lu1^15*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g20[t] + 47596763754540*Sqrt[5]* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 3843664424748720*Sqrt[5]*lu1*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] - 345626118586045440*Sqrt[5]*lu1^2* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] - 11675217995179287120*Sqrt[5]*lu1^3*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 542072890918434549960*Sqrt[5]*lu1^4* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 8855465615928895494960*Sqrt[5]*lu1^5*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] - 200844747188150670324720*Sqrt[5]*lu1^6* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] - 2605793673516481976402160*Sqrt[5]*lu1^7*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 17009190703206838261614060*Sqrt[5]* lu1^8*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 283747079746652173894962720*Sqrt[5]*lu1^9*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 829263123510596589914058960*Sqrt[5]* lu1^10*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 102047373813220592923932480*Sqrt[5]*lu1^11*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] - 1552893876530125594260269760*Sqrt[5]* lu1^12*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] - 175765544568640178249011200*Sqrt[5]*lu1^13*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] + 1571429900385118316166624000*Sqrt[5]* lu1^14*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g20[t] + 503101924779471966748800000*Sqrt[5]*lu1^15*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g20[t] - 7526329377840*Sqrt[5]* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] + 5252730840433440*Sqrt[5]*lu1*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] - 140571446852884320*Sqrt[5]*lu1^2* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] - 14107852067745421440*Sqrt[5]*lu1^3*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] + 282648296758244376960*Sqrt[5]*lu1^4* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] + 8293041188922266300160*Sqrt[5]*lu1^5*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] - 63233510485812526248480*Sqrt[5]*lu1^6* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] - 1455653280408428724779520*Sqrt[5]*lu1^7*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] - 2445738297487852129897680*Sqrt[5]* lu1^8*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] + 28549520971350590024442720*Sqrt[5]*lu1^9*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] + 182171535631006855483630080*Sqrt[5]* lu1^10*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] + 580144765280056497637159680*Sqrt[5]*lu1^11*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] + 757630185229796915770755840*Sqrt[5]* lu1^12*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] - 37626860262344939420889600*Sqrt[5]*lu1^13*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] - 602181220044762031774464000*Sqrt[5]* lu1^14*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g20[t] - 253449445891798161008640000*Sqrt[5]*lu1^15*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g20[t] - 33233564520*f40[t]*g20[t]^2 + 194416293368700*lu1*f40[t]*g20[t]^2 - 9446966778302820*lu1^2*f40[t]* g20[t]^2 - 424553263715367540*lu1^3*f40[t]*g20[t]^2 + 20582589005622453420*lu1^4*f40[t]*g20[t]^2 + 130976112815120837940* lu1^5*f40[t]*g20[t]^2 - 8623682296620915993820*lu1^6*f40[t]* g20[t]^2 - 28362105484508633114940*lu1^7*f40[t]*g20[t]^2 + 1366047518701616321580620*lu1^8*f40[t]*g20[t]^2 + 6012625841325233066992640*lu1^9*f40[t]*g20[t]^2 - 70045290305942574034506640*lu1^10*f40[t]*g20[t]^2 - 503726398535104763038858240*lu1^11*f40[t]*g20[t]^2 - 974158283959634473046692800*lu1^12*f40[t]*g20[t]^2 - 123931995741155186016640000*lu1^13*f40[t]*g20[t]^2 + 1007389122368337337618080000*lu1^14*f40[t]*g20[t]^2 + 527864557818414956630400000*lu1^15*f40[t]*g20[t]^2 - 2758954032900*Sqrt[3]*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) - 768181798296900*Sqrt[3]*lu1*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 52522509535282800* Sqrt[3]*lu1^2*f40[t]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 1822927291771833000*Sqrt[3]*lu1^3*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) - 109253606043091645200*Sqrt[3]*lu1^4*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 942505088433195456000* Sqrt[3]*lu1^5*f40[t]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 52893902391119567021400*Sqrt[3]*lu1^6*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + 448831180322771341531800*Sqrt[3]*lu1^7*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 6645662288285935224355500*Sqrt[3]*lu1^8*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) - 85633037771879826221139900*Sqrt[3]*lu1^9* f40[t]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 272495128270838762828939400*Sqrt[3]*lu1^10*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 279854396392341501847209600*Sqrt[3]*lu1^11*f40[t]* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 4630873272365197392038400*Sqrt[3]*lu1^12*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) + 174938420881715088966888000*Sqrt[3]*lu1^13* f40[t]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) + 47197563798419751727920000*Sqrt[3]*lu1^14*f40[t]*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t]) - 113299074801492604315200000*Sqrt[3]*lu1^15* f40[t]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t]) - 347348855880*Sqrt[70]*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 271807203341700*Sqrt[70]*lu1* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 10486033675682760*Sqrt[70]*lu1^2*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 781424812101117600* Sqrt[70]*lu1^3*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 20378099375403463200*Sqrt[70]*lu1^4* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 520009064656223620920*Sqrt[70]*lu1^5*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 8002565827020345341280* Sqrt[70]*lu1^6*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) + 83196039763285231663920*Sqrt[70]*lu1^7* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 548263444342835074752600*Sqrt[70]*lu1^8*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 3215214913248264600300900*Sqrt[70]*lu1^9*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 3614100439965463144558680*Sqrt[70]*lu1^10*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 30050536446009883022303760*Sqrt[70]*lu1^11*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 3296018557744856072001600*Sqrt[70]*lu1^12*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 161874460052545916608171200*Sqrt[70]*lu1^13*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 193306574171092840073616000*Sqrt[70]*lu1^14*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 45033090127791716190240000*Sqrt[70]*lu1^15*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2439017336340*Sqrt[210]* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 837754967080980*Sqrt[210]*lu1*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 43501291491574800* Sqrt[210]*lu1^2*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 2237642222215799880*Sqrt[210]*lu1^3* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 81571000047642796080*Sqrt[210]*lu1^4*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 1366905611193881878080* Sqrt[210]*lu1^5*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t]) - 30737343985212858328920*Sqrt[210]*lu1^6* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 376220569260227071269240*Sqrt[210]*lu1^7*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 2647695132346352174652540*Sqrt[210]*lu1^8*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 41918700984216300387606060*Sqrt[210]*lu1^9*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 137351973641058401660034600*Sqrt[210]*lu1^10*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 138221512124212625345178240*Sqrt[210]*lu1^11*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 11875836642135451680814080*Sqrt[210]*lu1^12*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 65399857056520490701704000*Sqrt[210]*lu1^13*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 9150768260572479834384000*Sqrt[210]*lu1^14*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) + 37900420661098862717760000*Sqrt[210]*lu1^15*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t]) - 360566506755*Sqrt[15]* (f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) + 18809580023325*Sqrt[15]*lu1*(f42[t] + I*f42n[t])*g20[t]* (g22[t] - I*g22n[t]) + 419006484740025*Sqrt[15]*lu1^2* (f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) - 21127477328689095*Sqrt[15]*lu1^3*(f42[t] + I*f42n[t])*g20[t]* (g22[t] - I*g22n[t]) + 405422068284524655*Sqrt[15]*lu1^4* (f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) - 23408535904862009265*Sqrt[15]*lu1^5*(f42[t] + I*f42n[t])*g20[t]* (g22[t] - I*g22n[t]) + 38554089007104858915*Sqrt[15]*lu1^6* (f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) + 7699484446689085867635*Sqrt[15]*lu1^7*(f42[t] + I*f42n[t])*g20[t]* (g22[t] - I*g22n[t]) + 17014256409416652782760*Sqrt[15]*lu1^8* (f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) - 496765247042151980987640*Sqrt[15]*lu1^9*(f42[t] + I*f42n[t])*g20[t]* (g22[t] - I*g22n[t]) - 6182324953972169098365360*Sqrt[15]*lu1^10* (f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) - 52610748684091922798903520*Sqrt[15]*lu1^11*(f42[t] + I*f42n[t])* g20[t]*(g22[t] - I*g22n[t]) - 152561424098218866654094080*Sqrt[15]* lu1^12*(f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) - 108087112374900177188342400*Sqrt[15]*lu1^13*(f42[t] + I*f42n[t])* g20[t]*(g22[t] - I*g22n[t]) + 73417789166114790511296000*Sqrt[15]* lu1^14*(f42[t] + I*f42n[t])*g20[t]*(g22[t] - I*g22n[t]) + 73495493223801239092320000*Sqrt[15]*lu1^15*(f42[t] + I*f42n[t])* g20[t]*(g22[t] - I*g22n[t]) + 153886752045*Sqrt[70]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 - 308964547125*Sqrt[70]* lu1*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 - 680519771257365*Sqrt[70]*lu1^2*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])^2 - 1188637410437685*Sqrt[70]*lu1^3* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 + 879606815709501945*Sqrt[70]*lu1^4*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])^2 + 1700743395646599525*Sqrt[70]*lu1^5* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 - 387223159272638141895* Sqrt[70]*lu1^6*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 - 841372302472422866535*Sqrt[70]*lu1^7*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])^2 + 62328201669334120485030*Sqrt[70]*lu1^8* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 + 225491829175106983626540*Sqrt[70]*lu1^9*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])^2 - 3042058272904375523569680*Sqrt[70]*lu1^10* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 - 16325926214035380853784640*Sqrt[70]*lu1^11*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])^2 - 17199411491593665349884960*Sqrt[70]*lu1^12* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 + 24804432046725797864299200*Sqrt[70]*lu1^13*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])^2 + 40857042372017789010912000*Sqrt[70]*lu1^14* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])^2 + 7879589314289166932640000*Sqrt[70]*lu1^15*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])^2 + 37461708041940*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) - 3530814664990860*lu1*(f22[t] - I*f22n[t])* f40[t]*(g22[t] + I*g22n[t]) - 27292558423904280*lu1^2* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) + 8623419158147325480*lu1^3*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) - 83101342236679729560*lu1^4* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) - 4272790041451315778160*lu1^5*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) + 33638481536977212074400*lu1^6* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) + 369188445823931572923240*lu1^7*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) - 1172860146231957428522940*lu1^8* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) + 28175224320332521334745180*lu1^9*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) + 248890750160663204091945720*lu1^10* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) + 876543453561856856269375440*lu1^11*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) + 1135766786428362769423766400*lu1^12* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) - 284964023474251076380152000*lu1^13*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) - 1655317519377078670473360000*lu1^14* (f22[t] - I*f22n[t])*f40[t]*(g22[t] + I*g22n[t]) - 873711038429355440714400000*lu1^15*(f22[t] - I*f22n[t])*f40[t]* (g22[t] + I*g22n[t]) - 2758954032900*Sqrt[3]*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 768181798296900*Sqrt[3]* lu1*f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 52522509535282800*Sqrt[3]*lu1^2*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + 1822927291771833000*Sqrt[3]*lu1^3*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 109253606043091645200* Sqrt[3]*lu1^4*f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 942505088433195456000*Sqrt[3]*lu1^5*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + 52893902391119567021400*Sqrt[3]*lu1^6*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 448831180322771341531800* Sqrt[3]*lu1^7*f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 6645662288285935224355500*Sqrt[3]*lu1^8*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) - 85633037771879826221139900*Sqrt[3]*lu1^9* f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 272495128270838762828939400*Sqrt[3]*lu1^10*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) - 279854396392341501847209600*Sqrt[3]*lu1^11*f40[t]* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 4630873272365197392038400*Sqrt[3]*lu1^12*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) + 174938420881715088966888000*Sqrt[3]*lu1^13* f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 47197563798419751727920000*Sqrt[3]*lu1^14*f40[t]*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t]) - 113299074801492604315200000*Sqrt[3]*lu1^15* f40[t]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t]) + 2439017336340*Sqrt[210]*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 837754967080980*Sqrt[210]*lu1* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 43501291491574800*Sqrt[210]*lu1^2*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 2237642222215799880* Sqrt[210]*lu1^3*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 81571000047642796080*Sqrt[210]*lu1^4* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 1366905611193881878080*Sqrt[210]*lu1^5*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 30737343985212858328920* Sqrt[210]*lu1^6*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 376220569260227071269240*Sqrt[210]*lu1^7* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 2647695132346352174652540*Sqrt[210]*lu1^8*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 41918700984216300387606060*Sqrt[210]*lu1^9*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 137351973641058401660034600*Sqrt[210]*lu1^10*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 138221512124212625345178240*Sqrt[210]*lu1^11*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 11875836642135451680814080*Sqrt[210]*lu1^12*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 65399857056520490701704000*Sqrt[210]*lu1^13*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 9150768260572479834384000*Sqrt[210]*lu1^14*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 37900420661098862717760000*Sqrt[210]*lu1^15*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 403981623045*Sqrt[5]* (f22[t] - I*f22n[t])*g20[t]*(g22[t] + I*g22n[t]) + 10488739105845*Sqrt[5]*lu1*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) + 1441628356613445*Sqrt[5]*lu1^2* (f22[t] - I*f22n[t])*g20[t]*(g22[t] + I*g22n[t]) - 24596947158298515*Sqrt[5]*lu1^3*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) - 1565422787433169665*Sqrt[5]*lu1^4* (f22[t] - I*f22n[t])*g20[t]*(g22[t] + I*g22n[t]) + 15563071315534217475*Sqrt[5]*lu1^5*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) + 688552022319223997935*Sqrt[5]*lu1^6* (f22[t] - I*f22n[t])*g20[t]*(g22[t] + I*g22n[t]) - 3313679014530315015585*Sqrt[5]*lu1^7*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) - 132097317614937672427430*Sqrt[5]*lu1^8* (f22[t] - I*f22n[t])*g20[t]*(g22[t] + I*g22n[t]) + 25907355927543811340620*Sqrt[5]*lu1^9*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) + 9745146272050716733886680*Sqrt[5]*lu1^10* (f22[t] - I*f22n[t])*g20[t]*(g22[t] + I*g22n[t]) + 36851282638074237970677040*Sqrt[5]*lu1^11*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) - 20623880986173168080176800*Sqrt[5]*lu1^12* (f22[t] - I*f22n[t])*g20[t]*(g22[t] + I*g22n[t]) - 179926774481557627900376000*Sqrt[5]*lu1^13*(f22[t] - I*f22n[t])* g20[t]*(g22[t] + I*g22n[t]) - 184948176211257637498320000*Sqrt[5]* lu1^14*(f22[t] - I*f22n[t])*g20[t]*(g22[t] + I*g22n[t]) - 52109488321400354644800000*Sqrt[5]*lu1^15*(f22[t] - I*f22n[t])*g20[t]* (g22[t] + I*g22n[t]) - 360566506755*Sqrt[15]*(f42[t] - I*f42n[t])* g20[t]*(g22[t] + I*g22n[t]) + 18809580023325*Sqrt[15]*lu1* (f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) + 419006484740025*Sqrt[15]*lu1^2*(f42[t] - I*f42n[t])*g20[t]* (g22[t] + I*g22n[t]) - 21127477328689095*Sqrt[15]*lu1^3* (f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) + 405422068284524655*Sqrt[15]*lu1^4*(f42[t] - I*f42n[t])*g20[t]* (g22[t] + I*g22n[t]) - 23408535904862009265*Sqrt[15]*lu1^5* (f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) + 38554089007104858915*Sqrt[15]*lu1^6*(f42[t] - I*f42n[t])*g20[t]* (g22[t] + I*g22n[t]) + 7699484446689085867635*Sqrt[15]*lu1^7* (f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) + 17014256409416652782760*Sqrt[15]*lu1^8*(f42[t] - I*f42n[t])*g20[t]* (g22[t] + I*g22n[t]) - 496765247042151980987640*Sqrt[15]*lu1^9* (f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) - 6182324953972169098365360*Sqrt[15]*lu1^10*(f42[t] - I*f42n[t])*g20[t]* (g22[t] + I*g22n[t]) - 52610748684091922798903520*Sqrt[15]*lu1^11* (f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) - 152561424098218866654094080*Sqrt[15]*lu1^12*(f42[t] - I*f42n[t])* g20[t]*(g22[t] + I*g22n[t]) - 108087112374900177188342400*Sqrt[15]* lu1^13*(f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) + 73417789166114790511296000*Sqrt[15]*lu1^14*(f42[t] - I*f42n[t])* g20[t]*(g22[t] + I*g22n[t]) + 73495493223801239092320000*Sqrt[15]* lu1^15*(f42[t] - I*f42n[t])*g20[t]*(g22[t] + I*g22n[t]) - 1253381298390*f40[t]*(g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) + 270644559348150*lu1*f40[t]*(g22[t] - I*g22n[t])* (g22[t] + I*g22n[t]) - 5808515458867290*lu1^2*f40[t]* (g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) - 680521805662595130*lu1^3* f40[t]*(g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) + 17938205189459697090*lu1^4*f40[t]*(g22[t] - I*g22n[t])* (g22[t] + I*g22n[t]) + 378325119097567748730*lu1^5*f40[t]* (g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) - 8469184803594307736190* lu1^6*f40[t]*(g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) - 88422086889254638461630*lu1^7*f40[t]*(g22[t] - I*g22n[t])* (g22[t] + I*g22n[t]) + 1164341955722658813292140*lu1^8*f40[t]* (g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) + 10075543982178983055950280*lu1^9*f40[t]*(g22[t] - I*g22n[t])* (g22[t] + I*g22n[t]) - 27893721217635258529951680*lu1^10*f40[t]* (g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) - 275776194182104487496718080*lu1^11*f40[t]*(g22[t] - I*g22n[t])* (g22[t] + I*g22n[t]) - 529920805793957643568776000*lu1^12*f40[t]* (g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) - 106053323406577807611312000*lu1^13*f40[t]*(g22[t] - I*g22n[t])* (g22[t] + I*g22n[t]) + 571995328282160994906240000*lu1^14*f40[t]* (g22[t] - I*g22n[t])*(g22[t] + I*g22n[t]) + 381902076811407757550400000*lu1^15*f40[t]*(g22[t] - I*g22n[t])* (g22[t] + I*g22n[t]) + 153886752045*Sqrt[70]*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])^2 - 308964547125*Sqrt[70]*lu1* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 - 680519771257365*Sqrt[70]*lu1^2*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])^2 - 1188637410437685*Sqrt[70]*lu1^3* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 + 879606815709501945*Sqrt[70]*lu1^4*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])^2 + 1700743395646599525*Sqrt[70]*lu1^5* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 - 387223159272638141895* Sqrt[70]*lu1^6*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 - 841372302472422866535*Sqrt[70]*lu1^7*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])^2 + 62328201669334120485030*Sqrt[70]*lu1^8* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 + 225491829175106983626540*Sqrt[70]*lu1^9*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])^2 - 3042058272904375523569680*Sqrt[70]*lu1^10* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 - 16325926214035380853784640*Sqrt[70]*lu1^11*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])^2 - 17199411491593665349884960*Sqrt[70]*lu1^12* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 + 24804432046725797864299200*Sqrt[70]*lu1^13*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])^2 + 40857042372017789010912000*Sqrt[70]*lu1^14* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])^2 + 7879589314289166932640000*Sqrt[70]*lu1^15*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])^2 + 21785038658550*f40[t]^2*g40[t] - 27464249318379750*lu1*f40[t]^2*g40[t] + 586123743597104250*lu1^2* f40[t]^2*g40[t] + 61522083713288734650*lu1^3*f40[t]^2*g40[t] - 330350932904966226450*lu1^4*f40[t]^2*g40[t] - 31641635428453492148250* lu1^5*f40[t]^2*g40[t] - 231351529528569279649650*lu1^6*f40[t]^2* g40[t] + 4138965009682802883438750*lu1^7*f40[t]^2*g40[t] + 40666621368730902214383300*lu1^8*f40[t]^2*g40[t] - 152292644725488267389897400*lu1^9*f40[t]^2*g40[t] - 1027450685011867657630249200*lu1^10*f40[t]^2*g40[t] - 603384133061103273273328800*lu1^11*f40[t]^2*g40[t] + 3038066276163507995738040000*lu1^12*f40[t]^2*g40[t] + 4494532287579026459023920000*lu1^13*f40[t]^2*g40[t] + 1495824824855661837012000000*lu1^14*f40[t]^2*g40[t] - 100717576940373379862400000*lu1^15*f40[t]^2*g40[t] - 19076899505040*Sqrt[3]*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])* g40[t] - 1391901321498480*Sqrt[3]*lu1*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 91309997412452520*Sqrt[3]*lu1^2* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 4776330490563364200*Sqrt[3]*lu1^3*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 74848414852473273960*Sqrt[3]*lu1^4* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] - 3282211240370212745400*Sqrt[3]*lu1^5*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 14026638379258444138680*Sqrt[3]*lu1^6* (f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 26633315032048799800440*Sqrt[3]*lu1^7*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 2477470196568450967392600*Sqrt[3]* lu1^8*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 589279276956515410516680*Sqrt[3]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 38131222483493554658402640*Sqrt[3]* lu1^10*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] - 59092098000130155988035840*Sqrt[3]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 109996635600925524487545600*Sqrt[3]* lu1^12*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 251029015619768611157712000*Sqrt[3]*lu1^13*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] + 111337408595119124003040000*Sqrt[3]* lu1^14*(f22[t] - I*f22n[t])*(f42[t] + I*f42n[t])*g40[t] + 1647541807531493328000000*Sqrt[3]*lu1^15*(f22[t] - I*f22n[t])* (f42[t] + I*f42n[t])*g40[t] - 142768450919340*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 18206133597820980*lu1* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 1043879209857607860*lu1^2*(f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])* g40[t] + 43785637338173114340*lu1^3*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 754771277374075682820*lu1^4* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 37241376518687210854740*lu1^5*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 96500125536550690418580*lu1^6* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 6578593008529858113985740*lu1^7*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] + 52642920174752446103978880*lu1^8* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 140317018998009123843195240*lu1^9*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 1765147783861360561830795120*lu1^10* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] - 3705104133602873237550066240*lu1^11*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 245248785701015103325618560*lu1^12* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 5739131520762235172887804800*lu1^13*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] + 4335733810288877654204064000*lu1^14* (f42[t] - I*f42n[t])*(f42[t] + I*f42n[t])*g40[t] + 571362326863746869404800000*lu1^15*(f42[t] - I*f42n[t])* (f42[t] + I*f42n[t])*g40[t] - 280809495629460*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] - 36517738705762860*lu1* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] + 1596583948448592180*lu1^2*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])* g40[t] + 95276562518158024500*lu1^3*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] - 1097630183832243681060*lu1^4* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] - 25860911287407815957940*lu1^5*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] - 94046364870994383086820*lu1^6* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] - 292651021315024717548420*lu1^7*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] + 16380610682234247309525000*lu1^8* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] + 92339171567720429107444080*lu1^9*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] - 372235063219847670416881440*lu1^10* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] - 2006676761721749270831496000*lu1^11*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] - 1696472387307856697538706560*lu1^12* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] + 1510483731494413090853356800*lu1^13*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] + 1760258728788659839502784000*lu1^14* (f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*g40[t] + 339744749346763898054400000*lu1^15*(f44[t] - I*f44n[t])* (f44[t] + I*f44n[t])*g40[t] + 2769165658350*Sqrt[5]*f40[t]*g20[t]* g40[t] + 227676124563030*Sqrt[5]*lu1*f40[t]*g20[t]*g40[t] - 18525443724446490*Sqrt[5]*lu1^2*f40[t]*g20[t]*g40[t] - 605301049550907450*Sqrt[5]*lu1^3*f40[t]*g20[t]*g40[t] + 25207921033372318410*Sqrt[5]*lu1^4*f40[t]*g20[t]*g40[t] + 252132422403819434490*Sqrt[5]*lu1^5*f40[t]*g20[t]*g40[t] - 8069083396990436947230*Sqrt[5]*lu1^6*f40[t]*g20[t]*g40[t] - 47419074143116137585630*Sqrt[5]*lu1^7*f40[t]*g20[t]*g40[t] + 852314356030413133728000*Sqrt[5]*lu1^8*f40[t]*g20[t]*g40[t] + 4295489092084298933833320*Sqrt[5]*lu1^9*f40[t]*g20[t]*g40[t] - 25325159487278487825381120*Sqrt[5]*lu1^10*f40[t]*g20[t]*g40[t] - 138167440665255905626738080*Sqrt[5]*lu1^11*f40[t]*g20[t]*g40[t] - 131544509753798803914969600*Sqrt[5]*lu1^12*f40[t]*g20[t]*g40[t] + 215089505914860145256688000*Sqrt[5]*lu1^13*f40[t]*g20[t]*g40[t] + 406021321218716041325760000*Sqrt[5]*lu1^14*f40[t]*g20[t]*g40[t] + 159741140148876581568000000*Sqrt[5]*lu1^15*f40[t]*g20[t]*g40[t] + 488636884125*Sqrt[3]*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])* g40[t] + 21608668098225*Sqrt[3]*lu1*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] - 2662207658472375*Sqrt[3]*lu1^2* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] - 68117688909699975*Sqrt[3]*lu1^3*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] + 3335261858316617775*Sqrt[3]*lu1^4* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] + 43673038915017947175*Sqrt[3]*lu1^5*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] - 799049071324395764925*Sqrt[3]*lu1^6* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] - 5148086878410797087325*Sqrt[3]*lu1^7*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] + 2892686229649958281800*Sqrt[3]*lu1^8* (f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] - 387513683240069270909700*Sqrt[3]*lu1^9*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] - 1199005980805588962770400*Sqrt[3]* lu1^10*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] - 7728040946882237848230000*Sqrt[3]*lu1^11*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] - 28830161345608039209686400*Sqrt[3]* lu1^12*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] - 25144985777609074624728000*Sqrt[3]*lu1^13*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] + 14112087065992688179680000*Sqrt[3]* lu1^14*(f42[t] + I*f42n[t])*(g22[t] - I*g22n[t])*g40[t] + 24610625090105625043200000*Sqrt[3]*lu1^15*(f42[t] + I*f42n[t])* (g22[t] - I*g22n[t])*g40[t] + 1209595899915*(f22[t] - I*f22n[t])* (g22[t] + I*g22n[t])*g40[t] + 67717370055465*lu1* (f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] - 7641417669948855*lu1^2*(f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])* g40[t] - 187062974906211495*lu1^3*(f22[t] - I*f22n[t])* (g22[t] + I*g22n[t])*g40[t] + 10951366574796581115*lu1^4* (f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] + 91934734762281652215*lu1^5*(f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])* g40[t] - 3811911584176659992925*lu1^6*(f22[t] - I*f22n[t])* (g22[t] + I*g22n[t])*g40[t] - 12110518328577215130285*lu1^7* (f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] + 361799265506919062998110*lu1^8*(f22[t] - I*f22n[t])* (g22[t] + I*g22n[t])*g40[t] + 456467048435667238125780*lu1^9* (f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] - 9914771094333246838285680*lu1^10*(f22[t] - I*f22n[t])* (g22[t] + I*g22n[t])*g40[t] - 5450772762536527911881760*lu1^11* (f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] + 126376928752167149005154400*lu1^12*(f22[t] - I*f22n[t])* (g22[t] + I*g22n[t])*g40[t] + 340310122429070458278120000*lu1^13* (f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] + 317777400262682514991200000*lu1^14*(f22[t] - I*f22n[t])* (g22[t] + I*g22n[t])*g40[t] + 96130976445469926324000000*lu1^15* (f22[t] - I*f22n[t])*(g22[t] + I*g22n[t])*g40[t] + 488636884125*Sqrt[3]*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])* g40[t] + 21608668098225*Sqrt[3]*lu1*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] - 2662207658472375*Sqrt[3]*lu1^2* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] - 68117688909699975*Sqrt[3]*lu1^3*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] + 3335261858316617775*Sqrt[3]*lu1^4* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] + 43673038915017947175*Sqrt[3]*lu1^5*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] - 799049071324395764925*Sqrt[3]*lu1^6* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] - 5148086878410797087325*Sqrt[3]*lu1^7*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] + 2892686229649958281800*Sqrt[3]*lu1^8* (f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] - 387513683240069270909700*Sqrt[3]*lu1^9*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] - 1199005980805588962770400*Sqrt[3]* lu1^10*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] - 7728040946882237848230000*Sqrt[3]*lu1^11*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] - 28830161345608039209686400*Sqrt[3]* lu1^12*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] - 25144985777609074624728000*Sqrt[3]*lu1^13*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] + 14112087065992688179680000*Sqrt[3]* lu1^14*(f42[t] - I*f42n[t])*(g22[t] + I*g22n[t])*g40[t] + 24610625090105625043200000*Sqrt[3]*lu1^15*(f42[t] - I*f42n[t])* (g22[t] + I*g22n[t])*g40[t] - 2661671138310*f40[t]*g40[t]^2 + 790584577028910*lu1*f40[t]*g40[t]^2 - 24150685981429890*lu1^2*f40[t]* g40[t]^2 - 1027464018042687570*lu1^3*f40[t]*g40[t]^2 + 29119754319117729930*lu1^4*f40[t]*g40[t]^2 + 333913748170259639250* lu1^5*f40[t]*g40[t]^2 - 7894049617572342968070*lu1^6*f40[t]* g40[t]^2 - 49784979692778085753830*lu1^7*f40[t]*g40[t]^2 + 687840297840527683006260*lu1^8*f40[t]*g40[t]^2 + 3093064198932036776036760*lu1^9*f40[t]*g40[t]^2 - 18833027480917197501486960*lu1^10*f40[t]*g40[t]^2 - 71730596559714201662467680*lu1^11*f40[t]*g40[t]^2 + 58145509156456530372427200*lu1^12*f40[t]*g40[t]^2 + 439580355069898540910736000*lu1^13*f40[t]*g40[t]^2 + 512198218319639241267360000*lu1^14*f40[t]*g40[t]^2 + 174784113155267008848000000*lu1^15*f40[t]*g40[t]^2 + 6630*(-27 + 279*lu1 + 62256*lu1^2 + 123524*lu1^3 + 54768*lu1^4)* f20[t]^2*((1290208167 - 92898277698*lu1 + 1382726350713*lu1^2 + 28889628946100*lu1^3 - 690583055791695*lu1^4 + 112118399581214*lu1^5 + 15738397572038999*lu1^6 + 119490387185536496*lu1^7 + 1662136006449432200*lu1^8 - 1627106304190015200*lu1^9 - 10273350788275570000*lu1^10 + 3285062689090560000*lu1^11)*f40[t] - 572*Sqrt[5]* (12285 - 2841651*lu1 + 57341397*lu1^2 + 2146740265*lu1^3 - 41491301565*lu1^4 - 305441858105*lu1^5 + 5062650292183*lu1^6 + 17256057990499*lu1^7 - 134036223037100*lu1^8 - 234737472577200*lu1^9 + 1540360231600000*lu1^10 + 1386798804930000*lu1^11)*g20[t] - 5*(-11473299 - 2130851232*lu1 + 58494407163*lu1^2 + 957275251702*lu1^3 - 14114410633161*lu1^4 - 1735574453396*lu1^5 + 440335502650237*lu1^6 + 561711856697254* lu1^7 - 18656430269696732*lu1^8 - 3489029258023560*lu1^9 + 244135350034487200*lu1^10 + 280239290838696000*lu1^11)*g40[t]) + 222264050192460*f40[t]*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 6565433865348780*lu1*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) - 440076817765729440*lu1^2*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) + 3934714436358285240* lu1^3*f40[t]*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) + 427744823222297576880*lu1^4*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) - 16976615557793231391840*lu1^5*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 189495203193163585559880* lu1^6*f40[t]*(f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) + 5920707334947935379159240*lu1^7*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) + 42086260284474951916866180*lu1^8*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 262362896543830623436316340*lu1^9*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) - 1222765680411875237547674520*lu1^10*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) + 49224111619348377934623360*lu1^11*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) + 4598116329607101242327744640*lu1^12*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) + 4863649551558899440485124800*lu1^13*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) + 871814297146887331516944000*lu1^14*f40[t]* (f42[t] + I*f42n[t])*(g42[t] - I*g42n[t]) - 258341991857478355780800000*lu1^15*f40[t]*(f42[t] + I*f42n[t])* (g42[t] - I*g42n[t]) + 5736453498360*Sqrt[210]*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 566252656077420* Sqrt[210]*lu1*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 34904393938407240*Sqrt[210]*lu1^2* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 1609151084963571240*Sqrt[210]*lu1^3*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 36962675874844527600* Sqrt[210]*lu1^4*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 740682793455444634080*Sqrt[210]*lu1^5* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 2447932993692149851680*Sqrt[210]*lu1^6*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 14864400191016346958520* Sqrt[210]*lu1^7*(f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 166465649472149907551880*Sqrt[210]*lu1^8* (f22[t] - I*f22n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 280998530902493221041900*Sqrt[210]*lu1^9*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2925673255353491649157320*Sqrt[210]*lu1^10*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 9293514791539729368471360*Sqrt[210]*lu1^11*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 8807848230793625332662720*Sqrt[210]*lu1^12*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 23311217484145947177556800*Sqrt[210]*lu1^13*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 22091694795502746300432000*Sqrt[210]*lu1^14*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 7896545571883702668480000*Sqrt[210]*lu1^15*(f22[t] - I*f22n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 2738837093220*Sqrt[70]* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 820096340441004*Sqrt[70]*lu1*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 12048106164753024* Sqrt[70]*lu1^2*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) - 2089559608754728824*Sqrt[70]*lu1^3* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 1653594865226003088*Sqrt[70]*lu1^4*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 798989232669367089312* Sqrt[70]*lu1^5*(f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t]) + 302658484833196505640*Sqrt[70]*lu1^6* (f42[t] - I*f42n[t])*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 252463931881911578635128*Sqrt[70]*lu1^7*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 1248422463270082214776332*Sqrt[70]*lu1^8*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 7817439515086076612091084*Sqrt[70]*lu1^9*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 46900796007235186784292264*Sqrt[70]*lu1^10*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 66990409577742256594678656*Sqrt[70]*lu1^11*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 21914446395562528427574912*Sqrt[70]*lu1^12*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 145263376838697302383007040*Sqrt[70]*lu1^13*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 125216961512679125332387200*Sqrt[70]*lu1^14*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) + 12185465021861000667840000*Sqrt[70]*lu1^15*(f42[t] - I*f42n[t])* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t]) - 668694987675*Sqrt[5]* (f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) - 215856239529645*Sqrt[5]*lu1*(f42[t] + I*f42n[t])*g20[t]* (g42[t] - I*g42n[t]) + 8547724939351455*Sqrt[5]*lu1^2* (f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) + 544775896354504815*Sqrt[5]*lu1^3*(f42[t] + I*f42n[t])*g20[t]* (g42[t] - I*g42n[t]) - 11854568756566010475*Sqrt[5]*lu1^4* (f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) - 195365671167155326695*Sqrt[5]*lu1^5*(f42[t] + I*f42n[t])*g20[t]* (g42[t] - I*g42n[t]) + 2671647354077296891725*Sqrt[5]*lu1^6* (f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) + 28912999320080342174565*Sqrt[5]*lu1^7*(f42[t] + I*f42n[t])*g20[t]* (g42[t] - I*g42n[t]) - 128760409882959218291070*Sqrt[5]*lu1^8* (f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) - 1437357901694057248276800*Sqrt[5]*lu1^9*(f42[t] + I*f42n[t])*g20[t]* (g42[t] - I*g42n[t]) + 549036048952344415021560*Sqrt[5]*lu1^10* (f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) + 45362499015355121807887680*Sqrt[5]*lu1^11*(f42[t] + I*f42n[t])*g20[t]* (g42[t] - I*g42n[t]) + 151899469563891153385812960*Sqrt[5]*lu1^12* (f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) + 123157295570378855802931200*Sqrt[5]*lu1^13*(f42[t] + I*f42n[t])* g20[t]*(g42[t] - I*g42n[t]) - 88915642420999131161424000*Sqrt[5]* lu1^14*(f42[t] + I*f42n[t])*g20[t]*(g42[t] - I*g42n[t]) - 107458722694305998215200000*Sqrt[5]*lu1^15*(f42[t] + I*f42n[t])* g20[t]*(g42[t] - I*g42n[t]) - 448048962270*Sqrt[210]* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) - 13189574409570*Sqrt[210]*lu1*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) + 2208286999366110* Sqrt[210]*lu1^2*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])* (g42[t] - I*g42n[t]) + 42129899685477630*Sqrt[210]*lu1^3* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) - 2667332900541215790*Sqrt[210]*lu1^4*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) - 23186431669081208190* Sqrt[210]*lu1^5*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])* (g42[t] - I*g42n[t]) + 858432926795646488130*Sqrt[210]*lu1^6* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) + 4106793002303861637690*Sqrt[210]*lu1^7*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) - 85187294046500708378940* Sqrt[210]*lu1^8*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])* (g42[t] - I*g42n[t]) - 252511976982885180199080*Sqrt[210]*lu1^9* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) + 3342014984513614336473000*Sqrt[210]*lu1^10*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) + 13338593066586445659602640*Sqrt[210]*lu1^11*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) + 454010982824064400026240* Sqrt[210]*lu1^12*(f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])* (g42[t] - I*g42n[t]) - 48656555851372598326579200*Sqrt[210]*lu1^13* (f44[t] + I*f44n[t])*(g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) - 48861496317453125198256000*Sqrt[210]*lu1^14*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) - 5812103016836297344800000*Sqrt[210]*lu1^15*(f44[t] + I*f44n[t])* (g22[t] - I*g22n[t])*(g42[t] - I*g42n[t]) + 178637659200*Sqrt[3]* f40[t]*(g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) + 50466651000480*Sqrt[3]*lu1*f40[t]*(g22[t] + I*g22n[t])* (g42[t] - I*g42n[t]) - 2211149149620840*Sqrt[3]*lu1^2*f40[t]* (g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) - 155533929039660600* Sqrt[3]*lu1^3*f40[t]*(g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) + 3772754858462578560*Sqrt[3]*lu1^4*f40[t]*(g22[t] + I*g22n[t])* (g42[t] - I*g42n[t]) + 116572549225424103240*Sqrt[3]*lu1^5*f40[t]* (g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) - 1357325256821983500480* Sqrt[3]*lu1^6*f40[t]*(g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) - 22914327563024894962680*Sqrt[3]*lu1^7*f40[t]*(g22[t] + I*g22n[t])* (g42[t] - I*g42n[t]) + 72943001852565777847200*Sqrt[3]*lu1^8*f40[t]* (g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) + 1253236356208886170956120*Sqrt[3]*lu1^9*f40[t]*(g22[t] + I*g22n[t])* (g42[t] - I*g42n[t]) + 974250478609422992457480*Sqrt[3]*lu1^10* f40[t]*(g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) - 17787906688634427252644880*Sqrt[3]*lu1^11*f40[t]*(g22[t] + I*g22n[t])* (g42[t] - I*g42n[t]) - 19308447681893499020548800*Sqrt[3]*lu1^12* f40[t]*(g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) + 74142225476176196250912000*Sqrt[3]*lu1^13*f40[t]*(g22[t] + I*g22n[t])* (g42[t] - I*g42n[t]) + 100923523618010102689680000*Sqrt[3]*lu1^14* f40[t]*(g22[t] + I*g22n[t])*(g42[t] - I*g42n[t]) - 3754754145818942666400000*Sqrt[3]*lu1^15*f40[t]*(g22[t] + I*g22n[t])* (g42[t] - I*g42n[t]) - 3281022354015*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) + 374495699840535*lu1*(f42[t] + I*f42n[t])* g40[t]*(g42[t] - I*g42n[t]) - 11081084146129305*lu1^2* (f42[t] + I*f42n[t])*g40[t]*(g42[t] - I*g42n[t]) + 62932916654371575*lu1^3*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) + 9726607570365629685*lu1^4* (f42[t] + I*f42n[t])*g40[t]*(g42[t] - I*g42n[t]) - 78258462918427080135*lu1^5*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) - 4089550434714070180155*lu1^6* (f42[t] + I*f42n[t])*g40[t]*(g42[t] - I*g42n[t]) + 12302910349053097744845*lu1^7*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) + 675004252195298010450150*lu1^8* (f42[t] + I*f42n[t])*g40[t]*(g42[t] - I*g42n[t]) + 453613880253457374339420*lu1^9*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) - 30748862272185584265319560*lu1^10* (f42[t] + I*f42n[t])*g40[t]*(g42[t] - I*g42n[t]) - 34074429290078543836268400*lu1^11*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) + 278523001221487649412176160*lu1^12* (f42[t] + I*f42n[t])*g40[t]*(g42[t] - I*g42n[t]) + 658856297852989871269723200*lu1^13*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) + 419070836458828181635056000*lu1^14* (f42[t] + I*f42n[t])*g40[t]*(g42[t] - I*g42n[t]) + 44353330247376304862400000*lu1^15*(f42[t] + I*f42n[t])*g40[t]* (g42[t] - I*g42n[t]) - 99595094265*Sqrt[70]*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])^2 + 2811415170465*Sqrt[70]*lu1* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 + 193274878836465*Sqrt[70]*lu1^2*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])^2 + 4904726008540545*Sqrt[70]*lu1^3* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 - 242772489709753005*Sqrt[70]*lu1^4*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])^2 - 6717660937843511025*Sqrt[70]*lu1^5* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 + 57766772945853494595* Sqrt[70]*lu1^6*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 + 1196328358949959499355*Sqrt[70]*lu1^7*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])^2 + 6091210553785299169290*Sqrt[70]*lu1^8* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 + 1957484931712670155140* Sqrt[70]*lu1^9*(f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 - 528066188263375310195640*Sqrt[70]*lu1^10*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])^2 - 1370154510600765111490320*Sqrt[70]*lu1^11* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 + 3990546736679028548498400*Sqrt[70]*lu1^12*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])^2 + 16536959310606577729560000*Sqrt[70]*lu1^13* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 + 13025456013937008796560000*Sqrt[70]*lu1^14*(f44[t] + I*f44n[t])* (g42[t] - I*g42n[t])^2 - 2764121601858093892800000*Sqrt[70]*lu1^15* (f44[t] + I*f44n[t])*(g42[t] - I*g42n[t])^2 + 2637273775500*Sqrt[3]* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) - 188076297630780*Sqrt[3]*lu1*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) + 4508596451806200*Sqrt[3]*lu1^2* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) + 90086288970146040*Sqrt[3]*lu1^3*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) - 24498989334531508680*Sqrt[3]*lu1^4* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) + 403242814054118085840*Sqrt[3]*lu1^5*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) + 16684625186389942785120*Sqrt[3]*lu1^6* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) + 92540381621849241249000*Sqrt[3]*lu1^7*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) - 1422833611875967804764420*Sqrt[3]*lu1^8* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) - 4691228624732585551361460*Sqrt[3]*lu1^9*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) + 12858870481561624537279080*Sqrt[3]*lu1^10* (f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) + 106935249422002306994482560*Sqrt[3]*lu1^11*(f22[t] - I*f22n[t])* f40[t]*(g42[t] + I*g42n[t]) + 119238908521123375392096000*Sqrt[3]* lu1^12*(f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) - 223858072688668140744840000*Sqrt[3]*lu1^13*(f22[t] - I*f22n[t])* f40[t]*(g42[t] + I*g42n[t]) - 372511887123385704480240000*Sqrt[3]* lu1^14*(f22[t] - I*f22n[t])*f40[t]*(g42[t] + I*g42n[t]) - 65430596682098125732800000*Sqrt[3]*lu1^15*(f22[t] - I*f22n[t])*f40[t]* (g42[t] + I*g42n[t]) + 222264050192460*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) - 6565433865348780*lu1*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) - 440076817765729440*lu1^2* f40[t]*(f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 3934714436358285240*lu1^3*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) + 427744823222297576880*lu1^4*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) - 16976615557793231391840* lu1^5*f40[t]*(f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) - 189495203193163585559880*lu1^6*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) + 5920707334947935379159240*lu1^7*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 42086260284474951916866180*lu1^8*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) - 262362896543830623436316340*lu1^9*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) - 1222765680411875237547674520*lu1^10*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) + 49224111619348377934623360*lu1^11*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 4598116329607101242327744640*lu1^12*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) + 4863649551558899440485124800*lu1^13*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 871814297146887331516944000*lu1^14*f40[t]*(f42[t] - I*f42n[t])* (g42[t] + I*g42n[t]) - 258341991857478355780800000*lu1^15*f40[t]* (f42[t] - I*f42n[t])*(g42[t] + I*g42n[t]) + 2738837093220*Sqrt[70]* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 820096340441004*Sqrt[70]*lu1*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 12048106164753024* Sqrt[70]*lu1^2*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 2089559608754728824*Sqrt[70]*lu1^3* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 1653594865226003088*Sqrt[70]*lu1^4*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 798989232669367089312* Sqrt[70]*lu1^5*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 302658484833196505640*Sqrt[70]*lu1^6* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 252463931881911578635128*Sqrt[70]*lu1^7*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 1248422463270082214776332*Sqrt[70]*lu1^8*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 7817439515086076612091084*Sqrt[70]*lu1^9*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 46900796007235186784292264*Sqrt[70]*lu1^10*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 66990409577742256594678656*Sqrt[70]*lu1^11*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 21914446395562528427574912*Sqrt[70]*lu1^12*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 145263376838697302383007040*Sqrt[70]*lu1^13*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 125216961512679125332387200*Sqrt[70]*lu1^14*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 12185465021861000667840000*Sqrt[70]*lu1^15*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 106102359675*Sqrt[15]* (f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) - 534892889115*Sqrt[15]*lu1*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) + 365797190859165*Sqrt[15]*lu1^2* (f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) + 10550075656216005*Sqrt[15]*lu1^3*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) - 386291457487562445*Sqrt[15]*lu1^4* (f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) - 17953204247360183685*Sqrt[15]*lu1^5*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) + 154731722595593305695*Sqrt[15]*lu1^6* (f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) + 3317421880182671560455*Sqrt[15]*lu1^7*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) + 11724006267649468460460*Sqrt[15]*lu1^8* (f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) - 119033724882594183396540*Sqrt[15]*lu1^9*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) - 2359331688191864844887520*Sqrt[15]*lu1^10* (f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) - 2139946182617952875602800*Sqrt[15]*lu1^11*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) + 27674095390254998972664000*Sqrt[15]*lu1^12* (f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) + 68619438008710045644408000*Sqrt[15]*lu1^13*(f22[t] - I*f22n[t])* g20[t]*(g42[t] + I*g42n[t]) + 50908622371478360405280000*Sqrt[15]* lu1^14*(f22[t] - I*f22n[t])*g20[t]*(g42[t] + I*g42n[t]) + 9032862964577280192000000*Sqrt[15]*lu1^15*(f22[t] - I*f22n[t])*g20[t]* (g42[t] + I*g42n[t]) - 668694987675*Sqrt[5]*(f42[t] - I*f42n[t])* g20[t]*(g42[t] + I*g42n[t]) - 215856239529645*Sqrt[5]*lu1* (f42[t] - I*f42n[t])*g20[t]*(g42[t] + I*g42n[t]) + 8547724939351455*Sqrt[5]*lu1^2*(f42[t] - I*f42n[t])*g20[t]* (g42[t] + I*g42n[t]) + 544775896354504815*Sqrt[5]*lu1^3* (f42[t] - I*f42n[t])*g20[t]*(g42[t] + I*g42n[t]) - 11854568756566010475*Sqrt[5]*lu1^4*(f42[t] - I*f42n[t])*g20[t]* (g42[t] + I*g42n[t]) - 195365671167155326695*Sqrt[5]*lu1^5* (f42[t] - I*f42n[t])*g20[t]*(g42[t] + I*g42n[t]) + 2671647354077296891725*Sqrt[5]*lu1^6*(f42[t] - I*f42n[t])*g20[t]* (g42[t] + I*g42n[t]) + 28912999320080342174565*Sqrt[5]*lu1^7* (f42[t] - I*f42n[t])*g20[t]*(g42[t] + I*g42n[t]) - 128760409882959218291070*Sqrt[5]*lu1^8*(f42[t] - I*f42n[t])*g20[t]* (g42[t] + I*g42n[t]) - 1437357901694057248276800*Sqrt[5]*lu1^9* (f42[t] - I*f42n[t])*g20[t]*(g42[t] + I*g42n[t]) + 549036048952344415021560*Sqrt[5]*lu1^10*(f42[t] - I*f42n[t])*g20[t]* (g42[t] + I*g42n[t]) + 45362499015355121807887680*Sqrt[5]*lu1^11* (f42[t] - I*f42n[t])*g20[t]*(g42[t] + I*g42n[t]) + 151899469563891153385812960*Sqrt[5]*lu1^12*(f42[t] - I*f42n[t])* g20[t]*(g42[t] + I*g42n[t]) + 123157295570378855802931200*Sqrt[5]* lu1^13*(f42[t] - I*f42n[t])*g20[t]*(g42[t] + I*g42n[t]) - 88915642420999131161424000*Sqrt[5]*lu1^14*(f42[t] - I*f42n[t])*g20[t]* (g42[t] + I*g42n[t]) - 107458722694305998215200000*Sqrt[5]*lu1^15* (f42[t] - I*f42n[t])*g20[t]*(g42[t] + I*g42n[t]) + 178637659200*Sqrt[3]*f40[t]*(g22[t] - I*g22n[t])* (g42[t] + I*g42n[t]) + 50466651000480*Sqrt[3]*lu1*f40[t]* (g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) - 2211149149620840*Sqrt[3]* lu1^2*f40[t]*(g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) - 155533929039660600*Sqrt[3]*lu1^3*f40[t]*(g22[t] - I*g22n[t])* (g42[t] + I*g42n[t]) + 3772754858462578560*Sqrt[3]*lu1^4*f40[t]* (g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) + 116572549225424103240* Sqrt[3]*lu1^5*f40[t]*(g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) - 1357325256821983500480*Sqrt[3]*lu1^6*f40[t]*(g22[t] - I*g22n[t])* (g42[t] + I*g42n[t]) - 22914327563024894962680*Sqrt[3]*lu1^7*f40[t]* (g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) + 72943001852565777847200* Sqrt[3]*lu1^8*f40[t]*(g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) + 1253236356208886170956120*Sqrt[3]*lu1^9*f40[t]*(g22[t] - I*g22n[t])* (g42[t] + I*g42n[t]) + 974250478609422992457480*Sqrt[3]*lu1^10* f40[t]*(g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) - 17787906688634427252644880*Sqrt[3]*lu1^11*f40[t]*(g22[t] - I*g22n[t])* (g42[t] + I*g42n[t]) - 19308447681893499020548800*Sqrt[3]*lu1^12* f40[t]*(g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) + 74142225476176196250912000*Sqrt[3]*lu1^13*f40[t]*(g22[t] - I*g22n[t])* (g42[t] + I*g42n[t]) + 100923523618010102689680000*Sqrt[3]*lu1^14* f40[t]*(g22[t] - I*g22n[t])*(g42[t] + I*g42n[t]) - 3754754145818942666400000*Sqrt[3]*lu1^15*f40[t]*(g22[t] - I*g22n[t])* (g42[t] + I*g42n[t]) - 448048962270*Sqrt[210]*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) - 13189574409570*Sqrt[210]* lu1*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) + 2208286999366110*Sqrt[210]*lu1^2*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) + 42129899685477630* Sqrt[210]*lu1^3*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])* (g42[t] + I*g42n[t]) - 2667332900541215790*Sqrt[210]*lu1^4* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) - 23186431669081208190*Sqrt[210]*lu1^5*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) + 858432926795646488130* Sqrt[210]*lu1^6*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])* (g42[t] + I*g42n[t]) + 4106793002303861637690*Sqrt[210]*lu1^7* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) - 85187294046500708378940*Sqrt[210]*lu1^8*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) - 252511976982885180199080* Sqrt[210]*lu1^9*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])* (g42[t] + I*g42n[t]) + 3342014984513614336473000*Sqrt[210]*lu1^10* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) + 13338593066586445659602640*Sqrt[210]*lu1^11*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) + 454010982824064400026240* Sqrt[210]*lu1^12*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])* (g42[t] + I*g42n[t]) - 48656555851372598326579200*Sqrt[210]*lu1^13* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) - 48861496317453125198256000*Sqrt[210]*lu1^14*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) - 5812103016836297344800000*Sqrt[210]*lu1^15*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t])*(g42[t] + I*g42n[t]) + 67750362225*Sqrt[3]* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) - 404210934855*Sqrt[3]*lu1*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) - 332439987891375*Sqrt[3]*lu1^2* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) + 6090198456097665*Sqrt[3]*lu1^3*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) + 355976777179136295*Sqrt[3]*lu1^4* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) - 12556400254937269185*Sqrt[3]*lu1^5*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) - 46975662649716824205*Sqrt[3]*lu1^6* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) + 2347611534008292900075*Sqrt[3]*lu1^7*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) + 13329534184387280075580*Sqrt[3]*lu1^8* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) - 94996333389736806196260*Sqrt[3]*lu1^9*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) - 1000596400081250779836120*Sqrt[3]*lu1^10* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) + 1078180344902370459072960*Sqrt[3]*lu1^11*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) + 14840136173534276581267200*Sqrt[3]*lu1^12* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) + 25513241885157434996952000*Sqrt[3]*lu1^13*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) + 14636439670357621312560000*Sqrt[3]*lu1^14* (f22[t] - I*f22n[t])*g40[t]*(g42[t] + I*g42n[t]) + 3845495622225809916000000*Sqrt[3]*lu1^15*(f22[t] - I*f22n[t])*g40[t]* (g42[t] + I*g42n[t]) - 3281022354015*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) + 374495699840535*lu1*(f42[t] - I*f42n[t])* g40[t]*(g42[t] + I*g42n[t]) - 11081084146129305*lu1^2* (f42[t] - I*f42n[t])*g40[t]*(g42[t] + I*g42n[t]) + 62932916654371575*lu1^3*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) + 9726607570365629685*lu1^4* (f42[t] - I*f42n[t])*g40[t]*(g42[t] + I*g42n[t]) - 78258462918427080135*lu1^5*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) - 4089550434714070180155*lu1^6* (f42[t] - I*f42n[t])*g40[t]*(g42[t] + I*g42n[t]) + 12302910349053097744845*lu1^7*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) + 675004252195298010450150*lu1^8* (f42[t] - I*f42n[t])*g40[t]*(g42[t] + I*g42n[t]) + 453613880253457374339420*lu1^9*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) - 30748862272185584265319560*lu1^10* (f42[t] - I*f42n[t])*g40[t]*(g42[t] + I*g42n[t]) - 34074429290078543836268400*lu1^11*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) + 278523001221487649412176160*lu1^12* (f42[t] - I*f42n[t])*g40[t]*(g42[t] + I*g42n[t]) + 658856297852989871269723200*lu1^13*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) + 419070836458828181635056000*lu1^14* (f42[t] - I*f42n[t])*g40[t]*(g42[t] + I*g42n[t]) + 44353330247376304862400000*lu1^15*(f42[t] - I*f42n[t])*g40[t]* (g42[t] + I*g42n[t]) - 7813950167790*f40[t]*(g42[t] - I*g42n[t])* (g42[t] + I*g42n[t]) + 881664074831790*lu1*f40[t]* (g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) - 9478069507363410*lu1^2* f40[t]*(g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) - 962921401828106130*lu1^3*f40[t]*(g42[t] - I*g42n[t])* (g42[t] + I*g42n[t]) + 13034691739814363370*lu1^4*f40[t]* (g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) + 371179374723057222450* lu1^5*f40[t]*(g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) - 3290648437495959617430*lu1^6*f40[t]*(g42[t] - I*g42n[t])* (g42[t] + I*g42n[t]) - 66341625711815721965670*lu1^7*f40[t]* (g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) + 159703888535509471913340* lu1^8*f40[t]*(g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) + 4961396224036488651054840*lu1^9*f40[t]*(g42[t] - I*g42n[t])* (g42[t] + I*g42n[t]) + 9174914970277530652259760*lu1^10*f40[t]* (g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) - 112349026154595923272113120*lu1^11*f40[t]*(g42[t] - I*g42n[t])* (g42[t] + I*g42n[t]) - 416614499861137033378680000*lu1^12*f40[t]* (g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) - 297950249623522218141744000*lu1^13*f40[t]*(g42[t] - I*g42n[t])* (g42[t] + I*g42n[t]) + 314134250792502573064800000*lu1^14*f40[t]* (g42[t] - I*g42n[t])*(g42[t] + I*g42n[t]) + 296197041438301828809600000*lu1^15*f40[t]*(g42[t] - I*g42n[t])* (g42[t] + I*g42n[t]) - 99595094265*Sqrt[70]*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t])^2 + 2811415170465*Sqrt[70]*lu1* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 + 193274878836465*Sqrt[70]*lu1^2*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t])^2 + 4904726008540545*Sqrt[70]*lu1^3* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 - 242772489709753005*Sqrt[70]*lu1^4*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t])^2 - 6717660937843511025*Sqrt[70]*lu1^5* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 + 57766772945853494595* Sqrt[70]*lu1^6*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 + 1196328358949959499355*Sqrt[70]*lu1^7*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t])^2 + 6091210553785299169290*Sqrt[70]*lu1^8* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 + 1957484931712670155140* Sqrt[70]*lu1^9*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 - 528066188263375310195640*Sqrt[70]*lu1^10*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t])^2 - 1370154510600765111490320*Sqrt[70]*lu1^11* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 + 3990546736679028548498400*Sqrt[70]*lu1^12*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t])^2 + 16536959310606577729560000*Sqrt[70]*lu1^13* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 + 13025456013937008796560000*Sqrt[70]*lu1^14*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t])^2 - 2764121601858093892800000*Sqrt[70]*lu1^15* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t])^2 + 13260*Sqrt[70]*(-3 + 31*lu1 + 6920*lu1^2 + 13692*lu1^3)* (f22[t] + I*f22n[t])^2*((310650957 - 21927912777*lu1 + 259470858255*lu1^2 + 10979859199627*lu1^3 - 242108737245387* lu1^4 + 289421196797069*lu1^5 + 9042831161886029*lu1^6 - 21411122444032407*lu1^7 - 5791885294510310*lu1^8 + 193780734457602520*lu1^9 + 814556656718499720*lu1^10 + 1093654158305870000*lu1^11 + 359601804214296000*lu1^12)* (f44[t] - I*f44n[t]) + (18630324 + 2468024181*lu1 - 60790589649*lu1^2 - 1816062929439*lu1^3 + 15427800563009*lu1^4 + 28555918091089*lu1^5 + 7538910893145*lu1^6 - 3758049427447289* lu1^7 + 16474990364863139*lu1^8 + 20124133418273274*lu1^9 - 209464193768279920*lu1^10 - 389571195526665800*lu1^11 - 165789422328138000*lu1^12)*(g44[t] - I*g44n[t])) + 1105*(-3 + 37*lu1 + 6846*lu1^2)*(f22[t] + I*f22n[t])* (-23117389632*Sqrt[210]*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 968670045396*Sqrt[210]*lu1*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 8694320916960*Sqrt[210]*lu1^2* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 66707560272828* Sqrt[210]*lu1^3*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 4300922643561936*Sqrt[210]*lu1^4*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 24593258512400676*Sqrt[210]*lu1^5* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 313585590521440032* Sqrt[210]*lu1^6*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 2945100083499355380*Sqrt[210]*lu1^7*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 35542013154132521616*Sqrt[210]*lu1^8* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 69999995868737233728* Sqrt[210]*lu1^9*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 1114441447584393024*Sqrt[210]*lu1^10*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) + 105121472525744454720*Sqrt[210]*lu1^11* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 84394246548845760000* Sqrt[210]*lu1^12*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 12363872904254592000*Sqrt[210]*lu1^13*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 11300666076*f40[t]*(g22[t] - I*g22n[t]) + 925727581440*lu1*f40[t]*(g22[t] - I*g22n[t]) - 6137763849360*lu1^2* f40[t]*(g22[t] - I*g22n[t]) - 564521826010152*lu1^3*f40[t]* (g22[t] - I*g22n[t]) + 4099465242745296*lu1^4*f40[t]* (g22[t] - I*g22n[t]) + 51247370390521584*lu1^5*f40[t]* (g22[t] - I*g22n[t]) - 160324327687432752*lu1^6*f40[t]* (g22[t] - I*g22n[t]) + 3600102259395816984*lu1^7*f40[t]* (g22[t] - I*g22n[t]) + 32345111097325339548*lu1^8*f40[t]* (g22[t] - I*g22n[t]) + 115042872345967833408*lu1^9*f40[t]* (g22[t] - I*g22n[t]) + 150239655378986168880*lu1^10*f40[t]* (g22[t] - I*g22n[t]) - 36540948035946170400*lu1^11*f40[t]* (g22[t] - I*g22n[t]) - 218193329772696432000*lu1^12*f40[t]* (g22[t] - I*g22n[t]) - 115496453777461680000*lu1^13*f40[t]* (g22[t] - I*g22n[t]) + 121864743*Sqrt[5]*g20[t]* (g22[t] - I*g22n[t]) - 1661025366*Sqrt[5]*lu1*g20[t]* (g22[t] - I*g22n[t]) - 177270984891*Sqrt[5]*lu1^2*g20[t]* (g22[t] - I*g22n[t]) + 1443091529880*Sqrt[5]*lu1^3*g20[t]* (g22[t] - I*g22n[t]) + 85489809954549*Sqrt[5]*lu1^4*g20[t]* (g22[t] - I*g22n[t]) - 347233284331934*Sqrt[5]*lu1^5*g20[t]* (g22[t] - I*g22n[t]) - 16902798223428117*Sqrt[5]*lu1^6*g20[t]* (g22[t] - I*g22n[t]) - 1252686922258772*Sqrt[5]*lu1^7*g20[t]* (g22[t] - I*g22n[t]) + 1260725920236923140*Sqrt[5]*lu1^8*g20[t]* (g22[t] - I*g22n[t]) + 4875131134609944208*Sqrt[5]*lu1^9*g20[t]* (g22[t] - I*g22n[t]) - 2609131953636768560*Sqrt[5]*lu1^10*g20[t]* (g22[t] - I*g22n[t]) - 23655727591955659200*Sqrt[5]*lu1^11*g20[t]* (g22[t] - I*g22n[t]) - 24411195551726984000*Sqrt[5]*lu1^12*g20[t]* (g22[t] - I*g22n[t]) - 6888388545598560000*Sqrt[5]*lu1^13*g20[t]* (g22[t] - I*g22n[t]) + 104780952*Sqrt[70]*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 83285421588*Sqrt[70]*lu1* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 1896910746588*Sqrt[70]* lu1^2*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 69061825696476*Sqrt[70]*lu1^3*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 966726789952260*Sqrt[70]*lu1^4* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 11189357037692076* Sqrt[70]*lu1^5*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 69974401840045188*Sqrt[70]*lu1^6*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 425749436823931188*Sqrt[70]*lu1^7* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 456176273502144372* Sqrt[70]*lu1^8*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 3964877231258040432*Sqrt[70]*lu1^9*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 331968412745505840*Sqrt[70]*lu1^10* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 21262971109267278240* Sqrt[70]*lu1^11*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 25521153498377539200*Sqrt[70]*lu1^12*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 5952954676812528000*Sqrt[70]*lu1^13* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 364885641*(g22[t] - I*g22n[t])*g40[t] - 24927818850*lu1* (g22[t] - I*g22n[t])*g40[t] + 1164991237605*lu1^2* (g22[t] - I*g22n[t])*g40[t] + 13912196013468*lu1^3* (g22[t] - I*g22n[t])*g40[t] - 473485905524739*lu1^4* (g22[t] - I*g22n[t])*g40[t] - 1824979861567866*lu1^5* (g22[t] - I*g22n[t])*g40[t] + 46894992411989883*lu1^6* (g22[t] - I*g22n[t])*g40[t] + 67015893561683784*lu1^7* (g22[t] - I*g22n[t])*g40[t] - 1299147888584070852*lu1^8* (g22[t] - I*g22n[t])*g40[t] - 790005359938049832*lu1^9* (g22[t] - I*g22n[t])*g40[t] + 16482293573074801680*lu1^10* (g22[t] - I*g22n[t])*g40[t] + 44764732504233384000*lu1^11* (g22[t] - I*g22n[t])*g40[t] + 41938529916104040000*lu1^12* (g22[t] - I*g22n[t])*g40[t] + 12707618868562800000*lu1^13* (g22[t] - I*g22n[t])*g40[t] - 12*Sqrt[3]*(f42[t] - I*f42n[t])* (5*(-691611966 + 19837074195*lu1 - 18753907722*lu1^2 + 2772761376403*lu1^3 + 86082799774834*lu1^4 - 1504642084685303* lu1^5 + 13210825373160746*lu1^6 - 129858838347484751*lu1^7 - 1180334210958126980*lu1^8 - 2247173524104602320*lu1^9 - 613304077196035856*lu1^10 + 2865571532044732080*lu1^11 + 3009018152862054400*lu1^12 + 328656677268640000*lu1^13)* f40[t] + Sqrt[5]*(15472593 - 3676059234*lu1 + 114679903104*lu1^ 2 + 1296712624736*lu1^3 - 31581554855814*lu1^4 - 1256854151663716*lu1^5 + 3550623511828760*lu1^6 + 213354747822684272*lu1^7 + 921508382215574429*lu1^8 + 753957181884343158*lu1^9 - 3916502560121395696*lu1^10 - 7501404094918008480*lu1^11 - 3170452578227494800*lu1^12 + 196559503069524000*lu1^13)*g20[t] - 2*(239780034 + 20452276044*lu1 - 348264472053*lu1^2 - 17657487781024*lu1^3 - 71735735101501*lu1^4 + 75412628037268* lu1^5 + 13531785861795193*lu1^6 + 4226038083246624*lu1^7 - 207989034419644713*lu1^8 - 328107150974989712*lu1^9 + 598669289851606480*lu1^10 + 1379343894683159600*lu1^11 + 613191265063562000*lu1^12 + 9074569463400000*lu1^13)*g40[t]) + 4*(f22[t] - I*f22n[t])*((24044083659 - 1283676266178*lu1 + 12588434138097*lu1^2 + 373562472213120*lu1^3 - 10755719249553603*lu1^4 + 81010692566387198*lu1^5 - 149044590313661241*lu1^6 - 4912724386046694436*lu1^7 + 2719525574519663840*lu1^8 - 50615362964975959576*lu1^9 - 242706886832336155840*lu1^10 - 234653555012206442400*lu1^11 + 11970218291799368000*lu1^12 + 53630794698341280000*lu1^13)* f40[t] + 3*(143*Sqrt[5]*(121419 - 44520975*lu1 + 946024947* lu1^2 + 33153822069*lu1^3 - 607238194595*lu1^4 - 3898077711317*lu1^5 + 60282376029745*lu1^6 + 116482477207319* lu1^7 - 1661422893674812*lu1^8 - 7492568791933720*lu1^9 + 19646293817198320*lu1^10 + 66085276222615600*lu1^11 + 47783894549848000*lu1^12 + 9302329122240000*lu1^13)*g20[t] - 5*(-185452497 - 13451221098*lu1 + 416453586651*lu1^2 + 8922378704952*lu1^3 - 74959705977337*lu1^4 + 182154658803094* lu1^5 - 730285466037139*lu1^6 - 8187964143864732*lu1^7 - 22763805765011958*lu1^8 + 237848841821237640*lu1^9 + 1279021667272817368*lu1^10 + 2810392539124871120*lu1^11 + 2756671329728756800*lu1^12 + 914682011909736000*lu1^13)*g40[ t])) - 795557700*Sqrt[3]*f40[t]*(g42[t] - I*g42n[t]) + 46923053112*Sqrt[3]*lu1*f40[t]*(g42[t] - I*g42n[t]) - 2596804277832*Sqrt[3]*lu1^2*f40[t]*(g42[t] - I*g42n[t]) + 47875803319440*Sqrt[3]*lu1^3*f40[t]*(g42[t] - I*g42n[t]) + 2054904569585208*Sqrt[3]*lu1^4*f40[t]*(g42[t] - I*g42n[t]) + 12954531673717176*Sqrt[3]*lu1^5*f40[t]*(g42[t] - I*g42n[t]) - 184004652722397288*Sqrt[3]*lu1^6*f40[t]*(g42[t] - I*g42n[t]) - 622800002147375520*Sqrt[3]*lu1^7*f40[t]*(g42[t] - I*g42n[t]) + 1630925108355861372*Sqrt[3]*lu1^8*f40[t]*(g42[t] - I*g42n[t]) + 14037061098999755232*Sqrt[3]*lu1^9*f40[t]*(g42[t] - I*g42n[t]) + 15899230441825411200*Sqrt[3]*lu1^10*f40[t]*(g42[t] - I*g42n[t]) - 29329855759262952000*Sqrt[3]*lu1^11*f40[t]*(g42[t] - I*g42n[t]) - 49195852370050008000*Sqrt[3]*lu1^12*f40[t]*(g42[t] - I*g42n[t]) - 8649314879792160000*Sqrt[3]*lu1^13*f40[t]*(g42[t] - I*g42n[t]) + 32006745*Sqrt[15]*g20[t]*(g42[t] - I*g42n[t]) + 556105176*Sqrt[15]*lu1*g20[t]*(g42[t] - I*g42n[t]) - 30448037997*Sqrt[15]*lu1^2*g20[t]*(g42[t] - I*g42n[t]) - 2289020383458*Sqrt[15]*lu1^3*g20[t]*(g42[t] - I*g42n[t]) + 18814669028367*Sqrt[15]*lu1^4*g20[t]*(g42[t] - I*g42n[t]) + 424250957221836*Sqrt[15]*lu1^5*g20[t]*(g42[t] - I*g42n[t]) + 1491267118034085*Sqrt[15]*lu1^6*g20[t]*(g42[t] - I*g42n[t]) - 14197603421232690*Sqrt[15]*lu1^7*g20[t]*(g42[t] - I*g42n[t]) - 308685686578817424*Sqrt[15]*lu1^8*g20[t]*(g42[t] - I*g42n[t]) - 298445159042068560*Sqrt[15]*lu1^9*g20[t]*(g42[t] - I*g42n[t]) + 3612372688505115600*Sqrt[15]*lu1^10*g20[t]*(g42[t] - I*g42n[t]) + 9035036956643445600*Sqrt[15]*lu1^11*g20[t]*(g42[t] - I*g42n[t]) + 6723191825496816000*Sqrt[15]*lu1^12*g20[t]*(g42[t] - I*g42n[t]) + 1194060271622400000*Sqrt[15]*lu1^13*g20[t]*(g42[t] - I*g42n[t]) - 20437515*Sqrt[3]*g40[t]*(g42[t] - I*g42n[t]) - 130128768*Sqrt[3]* lu1*g40[t]*(g42[t] - I*g42n[t]) + 52040225223*Sqrt[3]*lu1^2*g40[t]* (g42[t] - I*g42n[t]) - 1492288342650*Sqrt[3]*lu1^3*g40[t]* (g42[t] - I*g42n[t]) - 7032738791757*Sqrt[3]*lu1^4*g40[t]* (g42[t] - I*g42n[t]) + 295613606729196*Sqrt[3]*lu1^5*g40[t]* (g42[t] - I*g42n[t]) + 1767828526936017*Sqrt[3]*lu1^6*g40[t]* (g42[t] - I*g42n[t]) - 11784972576558090*Sqrt[3]*lu1^7*g40[t]* (g42[t] - I*g42n[t]) - 132138917875857648*Sqrt[3]*lu1^8*g40[t]* (g42[t] - I*g42n[t]) + 133490086292135832*Sqrt[3]*lu1^9*g40[t]* (g42[t] - I*g42n[t]) + 1944401853538625040*Sqrt[3]*lu1^10*g40[t]* (g42[t] - I*g42n[t]) + 3362393473572890400*Sqrt[3]*lu1^11*g40[t]* (g42[t] - I*g42n[t]) + 1932053495429232000*Sqrt[3]*lu1^12*g40[t]* (g42[t] - I*g42n[t]) + 508338670165200000*Sqrt[3]*lu1^13*g40[t]* (g42[t] - I*g42n[t]) - 1730453544*Sqrt[210]*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 192157541244*Sqrt[210]*lu1* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 4210390944612* Sqrt[210]*lu1^2*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 98839754451036*Sqrt[210]*lu1^3*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 322992695199012*Sqrt[210]*lu1^4* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 1864980432828228* Sqrt[210]*lu1^5*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 21629430385029924*Sqrt[210]*lu1^6*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 38666364388405884*Sqrt[210]*lu1^7* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 380636894281753548* Sqrt[210]*lu1^8*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 1223649173109572064*Sqrt[210]*lu1^9*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 1149031088546273664*Sqrt[210]*lu1^10* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 3065254518844364160* Sqrt[210]*lu1^11*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 2925957700402382400*Sqrt[210]*lu1^12*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 1043849706058656000*Sqrt[210]*lu1^13* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 432480708*Sqrt[210]* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 133964290044*Sqrt[210]* lu1*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 1929447331884*Sqrt[210]*lu1^2*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) + 98135188835220*Sqrt[210]*lu1^3* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 114917401882284* Sqrt[210]*lu1^4*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 11249464129998708*Sqrt[210]*lu1^5*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) - 36081596480246556*Sqrt[210]*lu1^6* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 533927887559187804* Sqrt[210]*lu1^7*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 1137588270039795168*Sqrt[210]*lu1^8*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) - 5084327721582281664*Sqrt[210]*lu1^9* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 12861367802236094592* Sqrt[210]*lu1^10*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 2858089477114793280*Sqrt[210]*lu1^11*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) + 21502257130477305600*Sqrt[210]*lu1^12* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 10368484325071488000* Sqrt[210]*lu1^13*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 11418327*Sqrt[70]*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 1691636562*Sqrt[70]*lu1*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 57415806747*Sqrt[70]*lu1^2*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) + 1320164270352*Sqrt[70]*lu1^3* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 29835994274253* Sqrt[70]*lu1^4*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 214154252354898*Sqrt[70]*lu1^5*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) + 3385438899580869*Sqrt[70]*lu1^6* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 12019133181182268* Sqrt[70]*lu1^7*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 110333561440592844*Sqrt[70]*lu1^8*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) - 306334957575314760*Sqrt[70]*lu1^9* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 720464022276151920* Sqrt[70]*lu1^10*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 3167345066815486080*Sqrt[70]*lu1^11*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) + 3545807828026718400*Sqrt[70]*lu1^12* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 1259064611955696000* Sqrt[70]*lu1^13*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 5670891*Sqrt[210]*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 1541487024*Sqrt[210]*lu1*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) - 53058444039*Sqrt[210]*lu1^2* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 308334562902*Sqrt[210]* lu1^3*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 18317346864813*Sqrt[210]*lu1^4*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) + 17500203410628*Sqrt[210]*lu1^5* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 2206728786452049* Sqrt[210]*lu1^6*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 1574317892384934*Sqrt[210]*lu1^7*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) + 93571630457037168*Sqrt[210]*lu1^8* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 95517554174443272* Sqrt[210]*lu1^9*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 1023765274047832080*Sqrt[210]*lu1^10*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) - 2792006343263020320*Sqrt[210]*lu1^11* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 2529402273812745600* Sqrt[210]*lu1^12*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 791495765729424000*Sqrt[210]*lu1^13*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t])) + 8326430284572*Sqrt[70]* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 190967829912180*Sqrt[70]*lu1*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) - 31174261529592384*Sqrt[70]*lu1^2* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 969973300489033368*Sqrt[70]*lu1^3*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) + 30978700915364793648*Sqrt[70]*lu1^4* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 459931942210794688944* Sqrt[70]*lu1^5*(f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 850693036222023744456*Sqrt[70]*lu1^6*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) + 182196539220665125883160*Sqrt[70]*lu1^7* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 1129386022711655449892724*Sqrt[70]*lu1^8*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) - 7630740026400802070881764*Sqrt[70]*lu1^9* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) - 45489680049680915572806840*Sqrt[70]*lu1^10*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) - 35861918032627883482499712*Sqrt[70]*lu1^11* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 101293467369559102566158976*Sqrt[70]*lu1^12*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) + 132338025249387603437430720*Sqrt[70]*lu1^13* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 7113585124663530805353600*Sqrt[70]*lu1^14*(f42[t] + I*f42n[t])^2* (g44[t] - I*g44n[t]) - 1209172292023704200640000*Sqrt[70]*lu1^15* (f42[t] + I*f42n[t])^2*(g44[t] - I*g44n[t]) + 14652888102720*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 22686235570207440*lu1* f40[t]*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) + 364130005297413600*lu1^2*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) + 54677574577459884960*lu1^3*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 216633118063388342400* lu1^4*f40[t]*(f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 14190415911968618831040*lu1^5*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) - 177021219741221058255360*lu1^6*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 1510182427694040818030880*lu1^7*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) + 772202881190609697366720*lu1^8*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) + 7513496710476567162685200*lu1^9*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) + 390539860690270875672846240*lu1^10*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) + 1771318615938039896504797440*lu1^11*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) + 2243530286282481264590941440*lu1^12*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) + 37938393990687835991404800*lu1^13*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) - 1148711828036570164575936000*lu1^14*f40[t]* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]) - 416940521344919281785600000*lu1^15*f40[t]*(f44[t] + I*f44n[t])* (g44[t] - I*g44n[t]) - 1454780437110*Sqrt[5]*(f44[t] + I*f44n[t])* g20[t]*(g44[t] - I*g44n[t]) - 15876433239030*Sqrt[5]*lu1* (f44[t] + I*f44n[t])*g20[t]*(g44[t] - I*g44n[t]) + 7123508737933770*Sqrt[5]*lu1^2*(f44[t] + I*f44n[t])*g20[t]* (g44[t] - I*g44n[t]) + 36873533688616170*Sqrt[5]*lu1^3* (f44[t] + I*f44n[t])*g20[t]*(g44[t] - I*g44n[t]) - 9238455246679323210*Sqrt[5]*lu1^4*(f44[t] + I*f44n[t])*g20[t]* (g44[t] - I*g44n[t]) + 12610493971512918390*Sqrt[5]*lu1^5* (f44[t] + I*f44n[t])*g20[t]*(g44[t] - I*g44n[t]) + 3680499644447532321870*Sqrt[5]*lu1^6*(f44[t] + I*f44n[t])*g20[t]* (g44[t] - I*g44n[t]) + 3525577632980129636910*Sqrt[5]*lu1^7* (f44[t] + I*f44n[t])*g20[t]*(g44[t] - I*g44n[t]) - 580624331807131967005560*Sqrt[5]*lu1^8*(f44[t] + I*f44n[t])*g20[t]* (g44[t] - I*g44n[t]) - 2144133756723197671843320*Sqrt[5]*lu1^9* (f44[t] + I*f44n[t])*g20[t]*(g44[t] - I*g44n[t]) + 20515850631409179295660320*Sqrt[5]*lu1^10*(f44[t] + I*f44n[t])*g20[t]* (g44[t] - I*g44n[t]) + 71063515878083396131332960*Sqrt[5]*lu1^11* (f44[t] + I*f44n[t])*g20[t]*(g44[t] - I*g44n[t]) - 10815006430791276334508160*Sqrt[5]*lu1^12*(f44[t] + I*f44n[t])*g20[t]* (g44[t] - I*g44n[t]) - 214994509433511725984976000*Sqrt[5]*lu1^13* (f44[t] + I*f44n[t])*g20[t]*(g44[t] - I*g44n[t]) - 206727166014477588410112000*Sqrt[5]*lu1^14*(f44[t] + I*f44n[t])* g20[t]*(g44[t] - I*g44n[t]) - 56650791650526300689280000*Sqrt[5]* lu1^15*(f44[t] + I*f44n[t])*g20[t]*(g44[t] - I*g44n[t]) - 54628034175*Sqrt[210]*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) - 31582306018575*Sqrt[210]*lu1* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 1236443525512065*Sqrt[210]*lu1^2*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 83307230511182145* Sqrt[210]*lu1^3*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) - 2115326580597599265*Sqrt[210]*lu1^4* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 42480342279516459825*Sqrt[210]*lu1^5*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 648719725099020957915* Sqrt[210]*lu1^6*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) + 7828233105065428450395*Sqrt[210]*lu1^7* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 43621757707330856677260*Sqrt[210]*lu1^8*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 493364436555451390987980* Sqrt[210]*lu1^9*(f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])* (g44[t] - I*g44n[t]) + 79624047562750567640400*Sqrt[210]*lu1^10* (f42[t] + I*f42n[t])*(g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 10186921882551008110804080*Sqrt[210]*lu1^11*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 26712978789849417101350080*Sqrt[210]*lu1^12*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 10178507123011154633784000*Sqrt[210]*lu1^13*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 28281801981842905152384000*Sqrt[210]*lu1^14*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) - 19657889858537916672960000*Sqrt[210]*lu1^15*(f42[t] + I*f42n[t])* (g22[t] + I*g22n[t])*(g44[t] - I*g44n[t]) + 3036515502510*(f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) + 328625989409970*lu1*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) - 22758187645250190*lu1^2*(f44[t] + I*f44n[t])* g40[t]*(g44[t] - I*g44n[t]) - 744508728252196110*lu1^3* (f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) + 27495071148857861430*lu1^4*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) + 246650229419993756910*lu1^5* (f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) - 7154466396156571483530*lu1^6*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) - 30857830684740971558010*lu1^7* (f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) + 558384901197410718802980*lu1^8*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) + 647936435586753407210760*lu1^9* (f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) - 18686331937273480151580720*lu1^10*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) - 3414354984366041951857440*lu1^11* (f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) + 243051384793783446504872640*lu1^12*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) + 485784735336818126680060800*lu1^13* (f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) + 271735314700719988780704000*lu1^14*(f44[t] + I*f44n[t])*g40[t]* (g44[t] - I*g44n[t]) + 35458275356475075216000000*lu1^15* (f44[t] + I*f44n[t])*g40[t]*(g44[t] - I*g44n[t]) - 288375731415*Sqrt[70]*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) - 690572865249*Sqrt[70]*lu1* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 520773728159439*Sqrt[70]*lu1^2*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 47289808315717119* Sqrt[70]*lu1^3*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) - 860867585619811443*Sqrt[70]*lu1^4* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 12703698238770041103*Sqrt[70]*lu1^5*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 127305366835028760765* Sqrt[70]*lu1^6*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) + 1282278256986325287717*Sqrt[70]*lu1^7* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 346990671854579449242*Sqrt[70]*lu1^8*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 15564816931169962398276* Sqrt[70]*lu1^9*(f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])* (g44[t] - I*g44n[t]) - 100080437976306527321736*Sqrt[70]*lu1^10* (f42[t] + I*f42n[t])*(g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 217132272913146643640304*Sqrt[70]*lu1^11*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 2955954553725091204177632*Sqrt[70]*lu1^12*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 10511174913063987333435840*Sqrt[70]*lu1^13*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 7544906568042132205123200*Sqrt[70]*lu1^14*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) + 4278499128537540500160000*Sqrt[70]*lu1^15*(f42[t] + I*f42n[t])* (g42[t] + I*g42n[t])*(g44[t] - I*g44n[t]) - 741114288720*Sqrt[70]* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 90519820936740*Sqrt[70]*lu1*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 5142259302059880*Sqrt[70]*lu1^2* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 277100773594898760*Sqrt[70]*lu1^3*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) - 6490240207128512640*Sqrt[70]*lu1^4* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 172471575708278801760* Sqrt[70]*lu1^5*(f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 1097363959304256440160*Sqrt[70]*lu1^6*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 5573870875033060072200*Sqrt[70]*lu1^7* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 3676101498537839595120* Sqrt[70]*lu1^8*(f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 337495203608016587562780*Sqrt[70]*lu1^9*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 846040526592901525455960*Sqrt[70]*lu1^10* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) + 4767101206505545500462480*Sqrt[70]*lu1^11*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) - 15720153324277979676889920*Sqrt[70]*lu1^12* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 73844355051170964574766400*Sqrt[70]*lu1^13*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) - 85941661570635774221136000*Sqrt[70]*lu1^14* (f22[t] - I*f22n[t])^2*(g44[t] + I*g44n[t]) - 30100051097053636476960000*Sqrt[70]*lu1^15*(f22[t] - I*f22n[t])^2* (g44[t] + I*g44n[t]) + 1433673547020*Sqrt[210]*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 426409647749280* Sqrt[210]*lu1*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) - 15144890937944040*Sqrt[210]*lu1^2* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 1259849777078229480*Sqrt[210]*lu1^3*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 18989149442423780880* Sqrt[210]*lu1^4*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) + 774969596171325848280*Sqrt[210]*lu1^5* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 1209654457904138315160*Sqrt[210]*lu1^6*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 88345450753891714251960* Sqrt[210]*lu1^7*(f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])* (g44[t] + I*g44n[t]) - 254892606933988081840860*Sqrt[210]*lu1^8* (f22[t] - I*f22n[t])*(f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 4102438544461992964493160*Sqrt[210]*lu1^9*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 8440424568212664748481280*Sqrt[210]*lu1^10*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 38997386467268350067394240*Sqrt[210]*lu1^11*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) - 97248487985505369397210560*Sqrt[210]*lu1^12*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 22465709276404254305078400*Sqrt[210]*lu1^13*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 163084835289979183508928000*Sqrt[210]*lu1^14*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 78435821276830544567040000*Sqrt[210]*lu1^15*(f22[t] - I*f22n[t])* (f42[t] - I*f42n[t])*(g44[t] + I*g44n[t]) + 8326430284572*Sqrt[70]* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 190967829912180*Sqrt[70]*lu1*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) - 31174261529592384*Sqrt[70]*lu1^2* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 969973300489033368*Sqrt[70]*lu1^3*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) + 30978700915364793648*Sqrt[70]*lu1^4* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 459931942210794688944* Sqrt[70]*lu1^5*(f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 850693036222023744456*Sqrt[70]*lu1^6*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) + 182196539220665125883160*Sqrt[70]*lu1^7* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 1129386022711655449892724*Sqrt[70]*lu1^8*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) - 7630740026400802070881764*Sqrt[70]*lu1^9* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) - 45489680049680915572806840*Sqrt[70]*lu1^10*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) - 35861918032627883482499712*Sqrt[70]*lu1^11* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 101293467369559102566158976*Sqrt[70]*lu1^12*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) + 132338025249387603437430720*Sqrt[70]*lu1^13* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 7113585124663530805353600*Sqrt[70]*lu1^14*(f42[t] - I*f42n[t])^2* (g44[t] + I*g44n[t]) - 1209172292023704200640000*Sqrt[70]*lu1^15* (f42[t] - I*f42n[t])^2*(g44[t] + I*g44n[t]) + 14652888102720*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 22686235570207440*lu1* f40[t]*(f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) + 364130005297413600*lu1^2*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) + 54677574577459884960*lu1^3*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 216633118063388342400* lu1^4*f40[t]*(f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 14190415911968618831040*lu1^5*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) - 177021219741221058255360*lu1^6*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 1510182427694040818030880*lu1^7*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) + 772202881190609697366720*lu1^8*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) + 7513496710476567162685200*lu1^9*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) + 390539860690270875672846240*lu1^10*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) + 1771318615938039896504797440*lu1^11*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) + 2243530286282481264590941440*lu1^12*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) + 37938393990687835991404800*lu1^13*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) - 1148711828036570164575936000*lu1^14*f40[t]* (f44[t] - I*f44n[t])*(g44[t] + I*g44n[t]) - 416940521344919281785600000*lu1^15*f40[t]*(f44[t] - I*f44n[t])* (g44[t] + I*g44n[t]) - 1454780437110*Sqrt[5]*(f44[t] - I*f44n[t])* g20[t]*(g44[t] + I*g44n[t]) - 15876433239030*Sqrt[5]*lu1* (f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) + 7123508737933770*Sqrt[5]*lu1^2*(f44[t] - I*f44n[t])*g20[t]* (g44[t] + I*g44n[t]) + 36873533688616170*Sqrt[5]*lu1^3* (f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) - 9238455246679323210*Sqrt[5]*lu1^4*(f44[t] - I*f44n[t])*g20[t]* (g44[t] + I*g44n[t]) + 12610493971512918390*Sqrt[5]*lu1^5* (f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) + 3680499644447532321870*Sqrt[5]*lu1^6*(f44[t] - I*f44n[t])*g20[t]* (g44[t] + I*g44n[t]) + 3525577632980129636910*Sqrt[5]*lu1^7* (f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) - 580624331807131967005560*Sqrt[5]*lu1^8*(f44[t] - I*f44n[t])*g20[t]* (g44[t] + I*g44n[t]) - 2144133756723197671843320*Sqrt[5]*lu1^9* (f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) + 20515850631409179295660320*Sqrt[5]*lu1^10*(f44[t] - I*f44n[t])*g20[t]* (g44[t] + I*g44n[t]) + 71063515878083396131332960*Sqrt[5]*lu1^11* (f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) - 10815006430791276334508160*Sqrt[5]*lu1^12*(f44[t] - I*f44n[t])*g20[t]* (g44[t] + I*g44n[t]) - 214994509433511725984976000*Sqrt[5]*lu1^13* (f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) - 206727166014477588410112000*Sqrt[5]*lu1^14*(f44[t] - I*f44n[t])* g20[t]*(g44[t] + I*g44n[t]) - 56650791650526300689280000*Sqrt[5]* lu1^15*(f44[t] - I*f44n[t])*g20[t]*(g44[t] + I*g44n[t]) + 37851754005*Sqrt[70]*(f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) + 5140936903635*Sqrt[70]*lu1* (f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 345873662843085*Sqrt[70]*lu1^2*(f22[t] - I*f22n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 14825842310680245* Sqrt[70]*lu1^3*(f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) + 587222054566398225*Sqrt[70]*lu1^4* (f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 9476894997940573125*Sqrt[70]*lu1^5*(f22[t] - I*f22n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 245682651125337907455* Sqrt[70]*lu1^6*(f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) - 1521470269928158426695*Sqrt[70]*lu1^7* (f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 26467427767004547542310*Sqrt[70]*lu1^8*(f22[t] - I*f22n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 87427211987866586436900* Sqrt[70]*lu1^9*(f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) - 849567478566952151653920*Sqrt[70]*lu1^10* (f22[t] - I*f22n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 2298415454460201220996800*Sqrt[70]*lu1^11*(f22[t] - I*f22n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 5567930399742144905858400*Sqrt[70]*lu1^12*(f22[t] - I*f22n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 24101223535658032812110400*Sqrt[70]*lu1^13*(f22[t] - I*f22n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 26874910288351168784832000*Sqrt[70]*lu1^14*(f22[t] - I*f22n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 9524609748460807771680000*Sqrt[70]*lu1^15*(f22[t] - I*f22n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 54628034175*Sqrt[210]* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 31582306018575*Sqrt[210]*lu1*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 1236443525512065* Sqrt[210]*lu1^2*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) + 83307230511182145*Sqrt[210]*lu1^3* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 2115326580597599265*Sqrt[210]*lu1^4*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 42480342279516459825* Sqrt[210]*lu1^5*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) + 648719725099020957915*Sqrt[210]*lu1^6* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 7828233105065428450395*Sqrt[210]*lu1^7*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 43621757707330856677260* Sqrt[210]*lu1^8*(f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])* (g44[t] + I*g44n[t]) - 493364436555451390987980*Sqrt[210]*lu1^9* (f42[t] - I*f42n[t])*(g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 79624047562750567640400*Sqrt[210]*lu1^10*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 10186921882551008110804080*Sqrt[210]*lu1^11*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 26712978789849417101350080*Sqrt[210]*lu1^12*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 10178507123011154633784000*Sqrt[210]*lu1^13*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 28281801981842905152384000*Sqrt[210]*lu1^14*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) - 19657889858537916672960000*Sqrt[210]*lu1^15*(f42[t] - I*f42n[t])* (g22[t] - I*g22n[t])*(g44[t] + I*g44n[t]) + 3036515502510*(f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) + 328625989409970*lu1*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) - 22758187645250190*lu1^2*(f44[t] - I*f44n[t])* g40[t]*(g44[t] + I*g44n[t]) - 744508728252196110*lu1^3* (f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) + 27495071148857861430*lu1^4*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) + 246650229419993756910*lu1^5* (f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) - 7154466396156571483530*lu1^6*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) - 30857830684740971558010*lu1^7* (f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) + 558384901197410718802980*lu1^8*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) + 647936435586753407210760*lu1^9* (f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) - 18686331937273480151580720*lu1^10*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) - 3414354984366041951857440*lu1^11* (f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) + 243051384793783446504872640*lu1^12*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) + 485784735336818126680060800*lu1^13* (f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) + 271735314700719988780704000*lu1^14*(f44[t] - I*f44n[t])*g40[t]* (g44[t] + I*g44n[t]) + 35458275356475075216000000*lu1^15* (f44[t] - I*f44n[t])*g40[t]*(g44[t] + I*g44n[t]) - 18799003665*Sqrt[210]*(f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) - 4878175106025*Sqrt[210]*lu1* (f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 281811765329055*Sqrt[210]*lu1^2*(f22[t] - I*f22n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 10513921875251535* Sqrt[210]*lu1^3*(f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) - 474706372680651735*Sqrt[210]*lu1^4* (f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 1641606999216288975*Sqrt[210]*lu1^5*(f22[t] - I*f22n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 146598416826875395005* Sqrt[210]*lu1^6*(f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) + 47382821145985046085*Sqrt[210]*lu1^7* (f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 17068084067611290075180*Sqrt[210]*lu1^8*(f22[t] - I*f22n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 8400411802702635104220* Sqrt[210]*lu1^9*(f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) + 715152494316199156122360*Sqrt[210]*lu1^10* (f22[t] - I*f22n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 689972917143924995093760*Sqrt[210]*lu1^11*(f22[t] - I*f22n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 7850376468881880887865600*Sqrt[210]*lu1^12*(f22[t] - I*f22n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 21221844149207835070641600*Sqrt[210]*lu1^13*(f22[t] - I*f22n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 19166858507388719797488000*Sqrt[210]*lu1^14*(f22[t] - I*f22n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 5987530913462918557920000*Sqrt[210]*lu1^15*(f22[t] - I*f22n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 288375731415*Sqrt[70]* (f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 690572865249*Sqrt[70]*lu1*(f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) + 520773728159439*Sqrt[70]*lu1^2* (f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 47289808315717119*Sqrt[70]*lu1^3*(f42[t] - I*f42n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 860867585619811443* Sqrt[70]*lu1^4*(f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) - 12703698238770041103*Sqrt[70]*lu1^5* (f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 127305366835028760765*Sqrt[70]*lu1^6*(f42[t] - I*f42n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 1282278256986325287717* Sqrt[70]*lu1^7*(f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) - 346990671854579449242*Sqrt[70]*lu1^8* (f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 15564816931169962398276*Sqrt[70]*lu1^9*(f42[t] - I*f42n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 100080437976306527321736* Sqrt[70]*lu1^10*(f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])* (g44[t] + I*g44n[t]) - 217132272913146643640304*Sqrt[70]*lu1^11* (f42[t] - I*f42n[t])*(g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 2955954553725091204177632*Sqrt[70]*lu1^12*(f42[t] - I*f42n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 10511174913063987333435840*Sqrt[70]*lu1^13*(f42[t] - I*f42n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 7544906568042132205123200*Sqrt[70]*lu1^14*(f42[t] - I*f42n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) + 4278499128537540500160000*Sqrt[70]*lu1^15*(f42[t] - I*f42n[t])* (g42[t] - I*g42n[t])*(g44[t] + I*g44n[t]) - 1050484596840*f40[t]* (g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) + 867361380432120*lu1* f40[t]*(g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) - 21826292858916840*lu1^2*f40[t]*(g44[t] - I*g44n[t])* (g44[t] + I*g44n[t]) - 1957764828227853960*lu1^3*f40[t]* (g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) + 32679768349308122280* lu1^4*f40[t]*(g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) + 692429948876893154760*lu1^5*f40[t]*(g44[t] - I*g44n[t])* (g44[t] + I*g44n[t]) - 6414423503655069778680*lu1^6*f40[t]* (g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) - 103950474441041822713560* lu1^7*f40[t]*(g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) + 105731596434748069205280*lu1^8*f40[t]*(g44[t] - I*g44n[t])* (g44[t] + I*g44n[t]) + 5253117713342761197468960*lu1^9*f40[t]* (g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) + 16457185612437414300650880*lu1^10*f40[t]*(g44[t] - I*g44n[t])* (g44[t] + I*g44n[t]) - 94304835590325339284403840*lu1^11*f40[t]* (g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) - 397400876153425494780111360*lu1^12*f40[t]*(g44[t] - I*g44n[t])* (g44[t] + I*g44n[t]) - 253096344468308248768627200*lu1^13*f40[t]* (g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) + 334777822013975129201664000*lu1^14*f40[t]*(g44[t] - I*g44n[t])* (g44[t] + I*g44n[t]) + 238268274886131957734400000*lu1^15*f40[t]* (g44[t] - I*g44n[t])*(g44[t] + I*g44n[t]) - 2210*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (3432*Sqrt[5]*(976293 - 83881062*lu1 + 878227839*lu1^2 + 57909811812*lu1^3 - 924487206737*lu1^4 - 6214858033574*lu1^5 + 107757495234481*lu1^6 + 181148021822648*lu1^7 - 2310070791837076*lu1^8 - 1428252123465904*lu1^9 + 27014578479138160*lu1^10 + 66346845583648000*lu1^11 + 56674765323304000*lu1^12 + 16268547519840000*lu1^13)*f22[t]^2 + 3432*Sqrt[5]*(976293 - 83881062*lu1 + 878227839*lu1^2 + 57909811812*lu1^3 - 924487206737*lu1^4 - 6214858033574*lu1^5 + 107757495234481*lu1^6 + 181148021822648*lu1^7 - 2310070791837076*lu1^8 - 1428252123465904*lu1^9 + 27014578479138160*lu1^10 + 66346845583648000*lu1^11 + 56674765323304000*lu1^12 + 16268547519840000*lu1^13)*f22n[t]^2 - 55567672650*Sqrt[5]*f40[t]^2 + 2739844331460*Sqrt[5]*lu1*f40[t]^2 - 31759777591110*Sqrt[5]*lu1^2*f40[t]^2 - 374927612961240*Sqrt[5]* lu1^3*f40[t]^2 + 12254733923489730*Sqrt[5]*lu1^4*f40[t]^2 - 24515825610663900*Sqrt[5]*lu1^5*f40[t]^2 + 581458822663166550* Sqrt[5]*lu1^6*f40[t]^2 - 5200477587485768880*Sqrt[5]*lu1^7* f40[t]^2 - 80167509834881241960*Sqrt[5]*lu1^8*f40[t]^2 - 161377175923057522080*Sqrt[5]*lu1^9*f40[t]^2 + 23419528045380139680* Sqrt[5]*lu1^10*f40[t]^2 + 265254803029528761600*Sqrt[5]*lu1^11* f40[t]^2 + 181072607679379152000*Sqrt[5]*lu1^12*f40[t]^2 + 31574972913865920000*Sqrt[5]*lu1^13*f40[t]^2 + 41637978558*Sqrt[5]* f42[t]^2 - 1757756478060*Sqrt[5]*lu1*f42[t]^2 + 22154003786574*Sqrt[5]*lu1^2*f42[t]^2 + 224197393270356*Sqrt[5]* lu1^3*f42[t]^2 - 9522429538644198*Sqrt[5]*lu1^4*f42[t]^2 + 1437968415888972*Sqrt[5]*lu1^5*f42[t]^2 - 718654692421512198* Sqrt[5]*lu1^6*f42[t]^2 + 9564646524406906284*Sqrt[5]*lu1^7* f42[t]^2 + 119158756005459297600*Sqrt[5]*lu1^8*f42[t]^2 + 165856079257595720928*Sqrt[5]*lu1^9*f42[t]^2 - 232078500252435504096*Sqrt[5]*lu1^10*f42[t]^2 - 489964715781324759360*Sqrt[5]*lu1^11*f42[t]^2 - 225153196126107321600*Sqrt[5]*lu1^12*f42[t]^2 - 56692961476462080000*Sqrt[5]*lu1^13*f42[t]^2 + 41637978558*Sqrt[5]* f42n[t]^2 - 1757756478060*Sqrt[5]*lu1*f42n[t]^2 + 22154003786574*Sqrt[5]*lu1^2*f42n[t]^2 + 224197393270356*Sqrt[5]* lu1^3*f42n[t]^2 - 9522429538644198*Sqrt[5]*lu1^4*f42n[t]^2 + 1437968415888972*Sqrt[5]*lu1^5*f42n[t]^2 - 718654692421512198* Sqrt[5]*lu1^6*f42n[t]^2 + 9564646524406906284*Sqrt[5]*lu1^7* f42n[t]^2 + 119158756005459297600*Sqrt[5]*lu1^8*f42n[t]^2 + 165856079257595720928*Sqrt[5]*lu1^9*f42n[t]^2 - 232078500252435504096*Sqrt[5]*lu1^10*f42n[t]^2 - 489964715781324759360*Sqrt[5]*lu1^11*f42n[t]^2 - 225153196126107321600*Sqrt[5]*lu1^12*f42n[t]^2 - 56692961476462080000*Sqrt[5]*lu1^13*f42n[t]^2 + 39835548900*Sqrt[5]*f44[t]^2 - 2719727280648*Sqrt[5]*lu1*f44[t]^2 + 39199468498092*Sqrt[5]*lu1^2*f44[t]^2 + 607275144810432*Sqrt[5]* lu1^3*f44[t]^2 - 11324764146107412*Sqrt[5]*lu1^4*f44[t]^2 - 22100745281317416*Sqrt[5]*lu1^5*f44[t]^2 - 9369409390912620*Sqrt[5]* lu1^6*f44[t]^2 - 2190341646695473488*Sqrt[5]*lu1^7*f44[t]^2 + 16195976758120663728*Sqrt[5]*lu1^8*f44[t]^2 + 80194992676422700608* Sqrt[5]*lu1^9*f44[t]^2 + 68573700207267724224*Sqrt[5]*lu1^10* f44[t]^2 - 41687464398335965440*Sqrt[5]*lu1^11*f44[t]^2 - 47604605221728172800*Sqrt[5]*lu1^12*f44[t]^2 - 6406388120232576000* Sqrt[5]*lu1^13*f44[t]^2 + 39835548900*Sqrt[5]*f44n[t]^2 - 2719727280648*Sqrt[5]*lu1*f44n[t]^2 + 39199468498092*Sqrt[5]*lu1^2* f44n[t]^2 + 607275144810432*Sqrt[5]*lu1^3*f44n[t]^2 - 11324764146107412*Sqrt[5]*lu1^4*f44n[t]^2 - 22100745281317416* Sqrt[5]*lu1^5*f44n[t]^2 - 9369409390912620*Sqrt[5]*lu1^6* f44n[t]^2 - 2190341646695473488*Sqrt[5]*lu1^7*f44n[t]^2 + 16195976758120663728*Sqrt[5]*lu1^8*f44n[t]^2 + 80194992676422700608* Sqrt[5]*lu1^9*f44n[t]^2 + 68573700207267724224*Sqrt[5]*lu1^10* f44n[t]^2 - 41687464398335965440*Sqrt[5]*lu1^11*f44n[t]^2 - 47604605221728172800*Sqrt[5]*lu1^12*f44n[t]^2 - 6406388120232576000*Sqrt[5]*lu1^13*f44n[t]^2 + 7659490248*f40[t]* g20[t] - 1122296747400*lu1*f40[t]*g20[t] + 17361626036040*lu1^2* f40[t]*g20[t] + 753625837730016*lu1^3*f40[t]*g20[t] - 9318171536798928*lu1^4*f40[t]*g20[t] - 151296329517131752*lu1^5* f40[t]*g20[t] + 806286024506054856*lu1^6*f40[t]*g20[t] + 11478089197996208048*lu1^7*f40[t]*g20[t] + 16646184011583020216* lu1^8*f40[t]*g20[t] - 75679677392584813984*lu1^9*f40[t]*g20[t] - 222554436294905383360*lu1^10*f40[t]*g20[t] - 35898743502143251200* lu1^11*f40[t]*g20[t] + 266490853039794416000*lu1^12*f40[t]* g20[t] + 143859832284759360000*lu1^13*f40[t]*g20[t] + 35652474*Sqrt[5]*g20[t]^2 + 239003622*Sqrt[5]*lu1*g20[t]^2 - 74084474178*Sqrt[5]*lu1^2*g20[t]^2 - 171483882570*Sqrt[5]*lu1^3* g20[t]^2 + 42264958154562*Sqrt[5]*lu1^4*g20[t]^2 + 24169139778498*Sqrt[5]*lu1^5*g20[t]^2 - 8304734532191526*Sqrt[5]* lu1^6*g20[t]^2 - 16034362787506206*Sqrt[5]*lu1^7*g20[t]^2 + 568974731989529580*Sqrt[5]*lu1^8*g20[t]^2 + 2452154305110585504* Sqrt[5]*lu1^9*g20[t]^2 - 592952038392679680*Sqrt[5]*lu1^10* g20[t]^2 - 10773136202030373600*Sqrt[5]*lu1^11*g20[t]^2 - 12328077265942152000*Sqrt[5]*lu1^12*g20[t]^2 - 4014874798814880000* Sqrt[5]*lu1^13*g20[t]^2 + 1386556542*Sqrt[15]*f42[t]*g22[t] - 60048087642*Sqrt[15]*lu1*f42[t]*g22[t] + 560300016510*Sqrt[15]* lu1^2*f42[t]*g22[t] + 25542013400466*Sqrt[15]*lu1^3*f42[t]* g22[t] - 598540926153090*Sqrt[15]*lu1^4*f42[t]*g22[t] - 21158587141235718*Sqrt[15]*lu1^5*f42[t]*g22[t] + 148156427815299810*Sqrt[15]*lu1^6*f42[t]*g22[t] + 3916504193860499502*Sqrt[15]*lu1^7*f42[t]*g22[t] + 10229760106818026148*Sqrt[15]*lu1^8*f42[t]*g22[t] - 6065360604969514752*Sqrt[15]*lu1^9*f42[t]*g22[t] - 42624623886399901440*Sqrt[15]*lu1^10*f42[t]*g22[t] - 16905080255489173920*Sqrt[15]*lu1^11*f42[t]*g22[t] + 43157906586476270400*Sqrt[15]*lu1^12*f42[t]*g22[t] + 28472907831938976000*Sqrt[15]*lu1^13*f42[t]*g22[t] + 26791479*Sqrt[5]*g22[t]^2 - 2298368358*Sqrt[5]*lu1*g22[t]^2 + 20287612917*Sqrt[5]*lu1^2*g22[t]^2 + 1900381883400*Sqrt[5]*lu1^3* g22[t]^2 - 27216745124283*Sqrt[5]*lu1^4*g22[t]^2 - 411684323741262*Sqrt[5]*lu1^5*g22[t]^2 + 5243160529082619*Sqrt[5]* lu1^6*g22[t]^2 + 41505613844424444*Sqrt[5]*lu1^7*g22[t]^2 - 256540031735155740*Sqrt[5]*lu1^8*g22[t]^2 - 1663947012351617136* Sqrt[5]*lu1^9*g22[t]^2 - 1027926517922956080*Sqrt[5]*lu1^10* g22[t]^2 + 5072635613458670400*Sqrt[5]*lu1^11*g22[t]^2 + 8463677157452088000*Sqrt[5]*lu1^12*g22[t]^2 + 3817944251241120000* Sqrt[5]*lu1^13*g22[t]^2 + 1386556542*Sqrt[15]*f42n[t]*g22n[t] - 60048087642*Sqrt[15]*lu1*f42n[t]*g22n[t] + 560300016510*Sqrt[15]* lu1^2*f42n[t]*g22n[t] + 25542013400466*Sqrt[15]*lu1^3*f42n[t]* g22n[t] - 598540926153090*Sqrt[15]*lu1^4*f42n[t]*g22n[t] - 21158587141235718*Sqrt[15]*lu1^5*f42n[t]*g22n[t] + 148156427815299810*Sqrt[15]*lu1^6*f42n[t]*g22n[t] + 3916504193860499502*Sqrt[15]*lu1^7*f42n[t]*g22n[t] + 10229760106818026148*Sqrt[15]*lu1^8*f42n[t]*g22n[t] - 6065360604969514752*Sqrt[15]*lu1^9*f42n[t]*g22n[t] - 42624623886399901440*Sqrt[15]*lu1^10*f42n[t]*g22n[t] - 16905080255489173920*Sqrt[15]*lu1^11*f42n[t]*g22n[t] + 43157906586476270400*Sqrt[15]*lu1^12*f42n[t]*g22n[t] + 28472907831938976000*Sqrt[15]*lu1^13*f42n[t]*g22n[t] + 26791479*Sqrt[5]*g22n[t]^2 - 2298368358*Sqrt[5]*lu1*g22n[t]^2 + 20287612917*Sqrt[5]*lu1^2*g22n[t]^2 + 1900381883400*Sqrt[5]*lu1^3* g22n[t]^2 - 27216745124283*Sqrt[5]*lu1^4*g22n[t]^2 - 411684323741262*Sqrt[5]*lu1^5*g22n[t]^2 + 5243160529082619*Sqrt[5]* lu1^6*g22n[t]^2 + 41505613844424444*Sqrt[5]*lu1^7*g22n[t]^2 - 256540031735155740*Sqrt[5]*lu1^8*g22n[t]^2 - 1663947012351617136* Sqrt[5]*lu1^9*g22n[t]^2 - 1027926517922956080*Sqrt[5]*lu1^10* g22n[t]^2 + 5072635613458670400*Sqrt[5]*lu1^11*g22n[t]^2 + 8463677157452088000*Sqrt[5]*lu1^12*g22n[t]^2 + 3817944251241120000* Sqrt[5]*lu1^13*g22n[t]^2 - 4391631108*Sqrt[5]*f40[t]*g40[t] - 819623608704*Sqrt[5]*lu1*f40[t]*g40[t] + 14808029831532*Sqrt[5]* lu1^2*f40[t]*g40[t] + 456728109754608*Sqrt[5]*lu1^3*f40[t]* g40[t] - 1392227668692972*Sqrt[5]*lu1^4*f40[t]*g40[t] - 38105841050642304*Sqrt[5]*lu1^5*f40[t]*g40[t] - 110847694774271292*Sqrt[5]*lu1^6*f40[t]*g40[t] + 1466199395778339792*Sqrt[5]*lu1^7*f40[t]*g40[t] + 3172735577919098880*Sqrt[5]*lu1^8*f40[t]*g40[t] - 9855677450072659392*Sqrt[5]*lu1^9*f40[t]*g40[t] - 21220792627638853440*Sqrt[5]*lu1^10*f40[t]*g40[t] + 25043338269696499200*Sqrt[5]*lu1^11*f40[t]*g40[t] + 65746359109405440000*Sqrt[5]*lu1^12*f40[t]*g40[t] + 28643735911795200000*Sqrt[5]*lu1^13*f40[t]*g40[t] + 71804313*g20[t]*g40[t] + 29598636870*lu1*g20[t]*g40[t] - 914850975285*lu1^2*g20[t]*g40[t] - 12351383933184*lu1^3*g20[t]* g40[t] + 388311799285107*lu1^4*g20[t]*g40[t] + 1647099273030558*lu1^5*g20[t]*g40[t] - 48125439516424779*lu1^6* g20[t]*g40[t] - 107477924478000852*lu1^7*g20[t]*g40[t] + 2007563083779641316*lu1^8*g20[t]*g40[t] + 4214641321748568336*lu1^9* g20[t]*g40[t] - 16930521011757709200*lu1^10*g20[t]*g40[t] - 59253543292515595200*lu1^11*g20[t]*g40[t] - 59734389207518760000* lu1^12*g20[t]*g40[t] - 19066054958627040000*lu1^13*g20[t]*g40[t] + 5937705*Sqrt[5]*g40[t]^2 + 5682979764*Sqrt[5]*lu1*g40[t]^2 - 159938996229*Sqrt[5]*lu1^2*g40[t]^2 - 2275470867870*Sqrt[5]*lu1^3* g40[t]^2 + 63415496649231*Sqrt[5]*lu1^4*g40[t]^2 + 287335967836752*Sqrt[5]*lu1^5*g40[t]^2 - 6949361553993171*Sqrt[5]* lu1^6*g40[t]^2 - 14742421528862070*Sqrt[5]*lu1^7*g40[t]^2 + 251789425806996144*Sqrt[5]*lu1^8*g40[t]^2 + 458308392873264144* Sqrt[5]*lu1^9*g40[t]^2 - 2380818387525401520*Sqrt[5]*lu1^10* g40[t]^2 - 7948228682056658400*Sqrt[5]*lu1^11*g40[t]^2 - 8036218405225872000*Sqrt[5]*lu1^12*g40[t]^2 - 2586855118861440000* Sqrt[5]*lu1^13*g40[t]^2 + 8014108410*Sqrt[5]*f42[t]*g42[t] + 641565820566*Sqrt[5]*lu1*f42[t]*g42[t] - 15537272603490*Sqrt[5]* lu1^2*f42[t]*g42[t] - 312561791578674*Sqrt[5]*lu1^3*f42[t]* g42[t] + 1761061992766362*Sqrt[5]*lu1^4*f42[t]*g42[t] + 14212974471238818*Sqrt[5]*lu1^5*f42[t]*g42[t] + 27629191099371114*Sqrt[5]*lu1^6*f42[t]*g42[t] - 365785508627770374*Sqrt[5]*lu1^7*f42[t]*g42[t] - 2396430862691867100*Sqrt[5]*lu1^8*f42[t]*g42[t] + 1659244133587015008*Sqrt[5]*lu1^9*f42[t]*g42[t] + 48835409736022005888*Sqrt[5]*lu1^10*f42[t]*g42[t] + 108382784618477049120*Sqrt[5]*lu1^11*f42[t]*g42[t] + 65673686602801569600*Sqrt[5]*lu1^12*f42[t]*g42[t] - 1172599827648480000*Sqrt[5]*lu1^13*f42[t]*g42[t] - 74340504*Sqrt[15]*g22[t]*g42[t] + 4916213676*Sqrt[15]*lu1*g22[t]* g42[t] - 28905928272*Sqrt[15]*lu1^2*g22[t]*g42[t] - 905616993096*Sqrt[15]*lu1^3*g22[t]*g42[t] + 5329996982124*Sqrt[15]* lu1^4*g22[t]*g42[t] + 115476679327668*Sqrt[15]*lu1^5*g22[t]* g42[t] - 1466462719690776*Sqrt[15]*lu1^6*g22[t]*g42[t] - 16512623905390128*Sqrt[15]*lu1^7*g22[t]*g42[t] + 119940332071671156*Sqrt[15]*lu1^8*g22[t]*g42[t] + 921165674512055832*Sqrt[15]*lu1^9*g22[t]*g42[t] + 920372231339462304*Sqrt[15]*lu1^10*g22[t]*g42[t] - 2001961533741695040*Sqrt[15]*lu1^11*g22[t]*g42[t] - 4125555326089713600*Sqrt[15]*lu1^12*g22[t]*g42[t] - 2026560901140048000*Sqrt[15]*lu1^13*g22[t]*g42[t] - 113091957*Sqrt[5]*g42[t]^2 + 1058780646*Sqrt[5]*lu1*g42[t]^2 + 154210568985*Sqrt[5]*lu1^2*g42[t]^2 - 680436570528*Sqrt[5]*lu1^3* g42[t]^2 - 61155463785075*Sqrt[5]*lu1^4*g42[t]^2 + 146576249489142*Sqrt[5]*lu1^5*g42[t]^2 + 8433838150352703*Sqrt[5]* lu1^6*g42[t]^2 - 4152335888767572*Sqrt[5]*lu1^7*g42[t]^2 - 385987282314651072*Sqrt[5]*lu1^8*g42[t]^2 - 229317763220456328* Sqrt[5]*lu1^9*g42[t]^2 + 4663614780029647728*Sqrt[5]*lu1^10* g42[t]^2 + 11639011058174332800*Sqrt[5]*lu1^11*g42[t]^2 + 9479212142225443200*Sqrt[5]*lu1^12*g42[t]^2 + 2306242459326960000* Sqrt[5]*lu1^13*g42[t]^2 + 2*Sqrt[5]*f22[t]* (6*Sqrt[3]*(547701507 - 16827838488*lu1 - 233329152120*lu1^2 + 16301044526213*lu1^3 - 455681672895683*lu1^4 + 5047294512859010*lu1^5 + 5502771194325630*lu1^6 - 461215567947722967*lu1^7 - 2619566908107158550*lu1^8 - 4327640946088351544*lu1^9 + 8339716475846900768*lu1^10 + 23052748463589522160*lu1^11 + 12971048022867266400*lu1^12 + 1256677137508464000*lu1^13)*f42[t] - 143*(1404783 - 272096739*lu1 + 4602263319*lu1^2 + 225819722961*lu1^3 - 3527431946439*lu1^4 - 43964106529969*lu1^ 5 + 454896372250557*lu1^6 + 3554371645321163*lu1^7 - 8699183497654828*lu1^8 - 47718146487216568*lu1^9 + 78111963247822640*lu1^10 + 415020549452991600*lu1^11 + 453212481815096000*lu1^12 + 149603259664320000*lu1^13)*g22[t] - 3*Sqrt[3]*(-253701477 - 8637554745*lu1 + 283658335137*lu1^2 + 12470082141993*lu1^3 - 31013103029159*lu1^4 + 250383392880661* lu1^5 - 7276279276521545*lu1^6 - 5532486719698681*lu1^7 + 134553613260979316*lu1^8 + 529339433680622372*lu1^9 + 125297717168779360*lu1^10 - 457930636027381520*lu1^11 + 253444635204784000*lu1^12 + 330203440394184000*lu1^13)* g42[t]) + 8014108410*Sqrt[5]*f42n[t]*g42n[t] + 641565820566*Sqrt[5]*lu1*f42n[t]*g42n[t] - 15537272603490*Sqrt[5]* lu1^2*f42n[t]*g42n[t] - 312561791578674*Sqrt[5]*lu1^3*f42n[t]* g42n[t] + 1761061992766362*Sqrt[5]*lu1^4*f42n[t]*g42n[t] + 14212974471238818*Sqrt[5]*lu1^5*f42n[t]*g42n[t] + 27629191099371114*Sqrt[5]*lu1^6*f42n[t]*g42n[t] - 365785508627770374*Sqrt[5]*lu1^7*f42n[t]*g42n[t] - 2396430862691867100*Sqrt[5]*lu1^8*f42n[t]*g42n[t] + 1659244133587015008*Sqrt[5]*lu1^9*f42n[t]*g42n[t] + 48835409736022005888*Sqrt[5]*lu1^10*f42n[t]*g42n[t] + 108382784618477049120*Sqrt[5]*lu1^11*f42n[t]*g42n[t] + 65673686602801569600*Sqrt[5]*lu1^12*f42n[t]*g42n[t] - 1172599827648480000*Sqrt[5]*lu1^13*f42n[t]*g42n[t] - 74340504*Sqrt[15]*g22n[t]*g42n[t] + 4916213676*Sqrt[15]*lu1*g22n[t]* g42n[t] - 28905928272*Sqrt[15]*lu1^2*g22n[t]*g42n[t] - 905616993096*Sqrt[15]*lu1^3*g22n[t]*g42n[t] + 5329996982124*Sqrt[15]*lu1^4*g22n[t]*g42n[t] + 115476679327668*Sqrt[15]*lu1^5*g22n[t]*g42n[t] - 1466462719690776*Sqrt[15]*lu1^6*g22n[t]*g42n[t] - 16512623905390128*Sqrt[15]*lu1^7*g22n[t]*g42n[t] + 119940332071671156*Sqrt[15]*lu1^8*g22n[t]*g42n[t] + 921165674512055832*Sqrt[15]*lu1^9*g22n[t]*g42n[t] + 920372231339462304*Sqrt[15]*lu1^10*g22n[t]*g42n[t] - 2001961533741695040*Sqrt[15]*lu1^11*g22n[t]*g42n[t] - 4125555326089713600*Sqrt[15]*lu1^12*g22n[t]*g42n[t] - 2026560901140048000*Sqrt[15]*lu1^13*g22n[t]*g42n[t] - 113091957*Sqrt[5]*g42n[t]^2 + 1058780646*Sqrt[5]*lu1*g42n[t]^2 + 154210568985*Sqrt[5]*lu1^2*g42n[t]^2 - 680436570528*Sqrt[5]*lu1^3* g42n[t]^2 - 61155463785075*Sqrt[5]*lu1^4*g42n[t]^2 + 146576249489142*Sqrt[5]*lu1^5*g42n[t]^2 + 8433838150352703*Sqrt[5]* lu1^6*g42n[t]^2 - 4152335888767572*Sqrt[5]*lu1^7*g42n[t]^2 - 385987282314651072*Sqrt[5]*lu1^8*g42n[t]^2 - 229317763220456328* Sqrt[5]*lu1^9*g42n[t]^2 + 4663614780029647728*Sqrt[5]*lu1^10* g42n[t]^2 + 11639011058174332800*Sqrt[5]*lu1^11*g42n[t]^2 + 9479212142225443200*Sqrt[5]*lu1^12*g42n[t]^2 + 2306242459326960000* Sqrt[5]*lu1^13*g42n[t]^2 + 2*Sqrt[5]*f22n[t]* (6*Sqrt[3]*(547701507 - 16827838488*lu1 - 233329152120*lu1^2 + 16301044526213*lu1^3 - 455681672895683*lu1^4 + 5047294512859010*lu1^5 + 5502771194325630*lu1^6 - 461215567947722967*lu1^7 - 2619566908107158550*lu1^8 - 4327640946088351544*lu1^9 + 8339716475846900768*lu1^10 + 23052748463589522160*lu1^11 + 12971048022867266400*lu1^12 + 1256677137508464000*lu1^13)*f42n[t] - 143*(1404783 - 272096739*lu1 + 4602263319*lu1^2 + 225819722961*lu1^3 - 3527431946439*lu1^4 - 43964106529969*lu1^ 5 + 454896372250557*lu1^6 + 3554371645321163*lu1^7 - 8699183497654828*lu1^8 - 47718146487216568*lu1^9 + 78111963247822640*lu1^10 + 415020549452991600*lu1^11 + 453212481815096000*lu1^12 + 149603259664320000*lu1^13)* g22n[t] - 3*Sqrt[3]*(-253701477 - 8637554745*lu1 + 283658335137*lu1^2 + 12470082141993*lu1^3 - 31013103029159*lu1^ 4 + 250383392880661*lu1^5 - 7276279276521545*lu1^6 - 5532486719698681*lu1^7 + 134553613260979316*lu1^8 + 529339433680622372*lu1^9 + 125297717168779360*lu1^10 - 457930636027381520*lu1^11 + 253444635204784000*lu1^12 + 330203440394184000*lu1^13)*g42n[t]) - 702499392*Sqrt[5]*f44[t]* g44[t] + 622862531928*Sqrt[5]*lu1*f44[t]*g44[t] - 8148475416816*Sqrt[5]*lu1^2*f44[t]*g44[t] - 320494310056872*Sqrt[5]* lu1^3*f44[t]*g44[t] + 1072286819350992*Sqrt[5]*lu1^4*f44[t]* g44[t] + 44900938788394248*Sqrt[5]*lu1^5*f44[t]*g44[t] + 71382442396109040*Sqrt[5]*lu1^6*f44[t]*g44[t] - 1863167219057181240*Sqrt[5]*lu1^7*f44[t]*g44[t] - 1583730429722734608*Sqrt[5]*lu1^8*f44[t]*g44[t] + 11158418914802111232*Sqrt[5]*lu1^9*f44[t]*g44[t] - 13494778967877766272*Sqrt[5]*lu1^10*f44[t]*g44[t] - 106021567346489343360*Sqrt[5]*lu1^11*f44[t]*g44[t] - 122836007777055955200*Sqrt[5]*lu1^12*f44[t]*g44[t] - 41015088035058816000*Sqrt[5]*lu1^13*f44[t]*g44[t] + 68798646*Sqrt[5]*g44[t]^2 - 9933295680*Sqrt[5]*lu1*g44[t]^2 + 141236714178*Sqrt[5]*lu1^2*g44[t]^2 + 5182884627732*Sqrt[5]*lu1^3* g44[t]^2 - 65320108541478*Sqrt[5]*lu1^4*g44[t]^2 - 762621076737576*Sqrt[5]*lu1^5*g44[t]^2 + 5484523499373870*Sqrt[5]* lu1^6*g44[t]^2 + 34884185951049876*Sqrt[5]*lu1^7*g44[t]^2 - 106077343471204896*Sqrt[5]*lu1^8*g44[t]^2 - 719979816950041536* Sqrt[5]*lu1^9*g44[t]^2 - 52870674544190496*Sqrt[5]*lu1^10* g44[t]^2 + 4214845686572861760*Sqrt[5]*lu1^11*g44[t]^2 + 6575632593379718400*Sqrt[5]*lu1^12*g44[t]^2 + 2620360560670272000* Sqrt[5]*lu1^13*g44[t]^2 - 702499392*Sqrt[5]*f44n[t]*g44n[t] + 622862531928*Sqrt[5]*lu1*f44n[t]*g44n[t] - 8148475416816*Sqrt[5]* lu1^2*f44n[t]*g44n[t] - 320494310056872*Sqrt[5]*lu1^3*f44n[t]* g44n[t] + 1072286819350992*Sqrt[5]*lu1^4*f44n[t]*g44n[t] + 44900938788394248*Sqrt[5]*lu1^5*f44n[t]*g44n[t] + 71382442396109040*Sqrt[5]*lu1^6*f44n[t]*g44n[t] - 1863167219057181240*Sqrt[5]*lu1^7*f44n[t]*g44n[t] - 1583730429722734608*Sqrt[5]*lu1^8*f44n[t]*g44n[t] + 11158418914802111232*Sqrt[5]*lu1^9*f44n[t]*g44n[t] - 13494778967877766272*Sqrt[5]*lu1^10*f44n[t]*g44n[t] - 106021567346489343360*Sqrt[5]*lu1^11*f44n[t]*g44n[t] - 122836007777055955200*Sqrt[5]*lu1^12*f44n[t]*g44n[t] - 41015088035058816000*Sqrt[5]*lu1^13*f44n[t]*g44n[t] + 68798646*Sqrt[5]*g44n[t]^2 - 9933295680*Sqrt[5]*lu1*g44n[t]^2 + 141236714178*Sqrt[5]*lu1^2*g44n[t]^2 + 5182884627732*Sqrt[5]*lu1^3* g44n[t]^2 - 65320108541478*Sqrt[5]*lu1^4*g44n[t]^2 - 762621076737576*Sqrt[5]*lu1^5*g44n[t]^2 + 5484523499373870*Sqrt[5]* lu1^6*g44n[t]^2 + 34884185951049876*Sqrt[5]*lu1^7*g44n[t]^2 - 106077343471204896*Sqrt[5]*lu1^8*g44n[t]^2 - 719979816950041536* Sqrt[5]*lu1^9*g44n[t]^2 - 52870674544190496*Sqrt[5]*lu1^10* g44n[t]^2 + 4214845686572861760*Sqrt[5]*lu1^11*g44n[t]^2 + 6575632593379718400*Sqrt[5]*lu1^12*g44n[t]^2 + 2620360560670272000* Sqrt[5]*lu1^13*g44n[t]^2)))/(102204102*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)^3*(81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)* Pi) eqG42f = -(mar*(4740450*Sqrt[3]*(-2928879 + 287766027*lu1 + 945419067*lu1^2 - 715484755845*lu1^3 + 10928472443049*lu1^4 + 380889119116405* lu1^5 - 6882261650267183*lu1^6 - 39103334839639751*lu1^7 + 751340501558206130*lu1^8 + 1158951494470274108*lu1^9 - 15948633704922275224*lu1^10 - 8977315170270410864*lu1^11 + 187226613258804907360*lu1^12 + 456258665540056936000*lu1^13 + 388597379661573264000*lu1^14 + 111374476320824640000*lu1^15)* f22[t]^3 + 77526296310060*f22n[t]^2*f42[t] - 3077650431823500*lu1* f22n[t]^2*f42[t] - 102498282592151940*lu1^2*f22n[t]^2*f42[t] + 583913331140567220*lu1^3*f22n[t]^2*f42[t] - 31189119062230491180* lu1^4*f22n[t]^2*f42[t] + 8737535805191346757500*lu1^5*f22n[t]^2* f42[t] - 95388967096042850835020*lu1^6*f22n[t]^2*f42[t] - 1738921777001374702179300*lu1^7*f22n[t]^2*f42[t] + 20084197753943806785537040*lu1^8*f22n[t]^2*f42[t] + 56249617338682999104365440*lu1^9*f22n[t]^2*f42[t] - 627683851311757344882290240*lu1^10*f22n[t]^2*f42[t] + 1061142639584007313016532160*lu1^11*f22n[t]^2*f42[t] + 10684158269440849935397244160*lu1^12*f22n[t]^2*f42[t] + 15271412939064485487812569600*lu1^13*f22n[t]^2*f42[t] + 5690120785044811989689088000*lu1^14*f22n[t]^2*f42[t] - 350068822423514372505600000*lu1^15*f22n[t]^2*f42[t] + 86433510541860*f40[t]^2*f42[t] + 32057824456443780*lu1*f40[t]^2* f42[t] - 1340443931480772300*lu1^2*f40[t]^2*f42[t] - 150607082191311701820*lu1^3*f40[t]^2*f42[t] + 5743668126689782649100* lu1^4*f40[t]^2*f42[t] + 66496634903515259437980*lu1^5*f40[t]^2* f42[t] - 2483420716958585456386180*lu1^6*f40[t]^2*f42[t] - 2687923083654843917835540*lu1^7*f40[t]^2*f42[t] + 232768297073555022756217760*lu1^8*f40[t]^2*f42[t] - 334204097351570277669398800*lu1^9*f40[t]^2*f42[t] - 4591964771039689088708106880*lu1^10*f40[t]^2*f42[t] + 427226457966647078924678720*lu1^11*f40[t]^2*f42[t] + 31792013181797381752699537920*lu1^12*f40[t]^2*f42[t] + 48747202198767085688580358400*lu1^13*f40[t]^2*f42[t] + 23246448108086842334704512000*lu1^14*f40[t]^2*f42[t] + 2605973894467464158668800000*lu1^15*f40[t]^2*f42[t] + 2120688304368408*f42[t]^3 - 65936251934495640*lu1*f42[t]^3 - 2590833552445448856*lu1^2*f42[t]^3 - 34113008504448236952*lu1^3* f42[t]^3 - 639467125268917994568*lu1^4*f42[t]^3 + 138369580759581780509976*lu1^5*f42[t]^3 - 1038643285734104252540744* lu1^6*f42[t]^3 - 12355141308171782050500360*lu1^7*f42[t]^3 + 217804829874206982006237136*lu1^8*f42[t]^3 - 579334349095762679335431776*lu1^9*f42[t]^3 - 4138521477368994301478383040*lu1^10*f42[t]^3 + 7165818195663043341268615552*lu1^11*f42[t]^3 + 46209424660156003231668950784*lu1^12*f42[t]^3 + 59568008416309685504267015680*lu1^13*f42[t]^3 + 25168769219505413689726694400*lu1^14*f42[t]^3 + 2099790600421296261911040000*lu1^15*f42[t]^3 + 53563352866920*Sqrt[3]*f22n[t]*f42[t]*f42n[t] - 6783115172932800*Sqrt[3]*lu1*f22n[t]*f42[t]*f42n[t] + 128223509192957880*Sqrt[3]*lu1^2*f22n[t]*f42[t]*f42n[t] + 14820034409781026400*Sqrt[3]*lu1^3*f22n[t]*f42[t]*f42n[t] - 478948400632947509160*Sqrt[3]*lu1^4*f22n[t]*f42[t]*f42n[t] - 6959116723871922838800*Sqrt[3]*lu1^5*f22n[t]*f42[t]*f42n[t] + 104576978846154538162920*Sqrt[3]*lu1^6*f22n[t]*f42[t]*f42n[t] + 1458173548756517893347840*Sqrt[3]*lu1^7*f22n[t]*f42[t]*f42n[t] + 1234718447281974945451200*Sqrt[3]*lu1^8*f22n[t]*f42[t]*f42n[t] - 64968202995729634029970320*Sqrt[3]*lu1^9*f22n[t]*f42[t]*f42n[t] - 1158197335539552507043022880*Sqrt[3]*lu1^10*f22n[t]*f42[t]*f42n[t] - 975432441958362080308412160*Sqrt[3]*lu1^11*f22n[t]*f42[t]*f42n[t] + 5128333339849724534171016960*Sqrt[3]*lu1^12*f22n[t]*f42[t]*f42n[t] + 6673685086366164601958496000*Sqrt[3]*lu1^13*f22n[t]*f42[t]*f42n[t] + 1418070667070501479019712000*Sqrt[3]*lu1^14*f22n[t]*f42[t]*f42n[t] + 773769920405633643098880000*Sqrt[3]*lu1^15*f22n[t]*f42[t]*f42n[t] + 2120688304368408*f42[t]*f42n[t]^2 - 65936251934495640*lu1*f42[t]* f42n[t]^2 - 2590833552445448856*lu1^2*f42[t]*f42n[t]^2 - 34113008504448236952*lu1^3*f42[t]*f42n[t]^2 - 639467125268917994568* lu1^4*f42[t]*f42n[t]^2 + 138369580759581780509976*lu1^5*f42[t]* f42n[t]^2 - 1038643285734104252540744*lu1^6*f42[t]*f42n[t]^2 - 12355141308171782050500360*lu1^7*f42[t]*f42n[t]^2 + 217804829874206982006237136*lu1^8*f42[t]*f42n[t]^2 - 579334349095762679335431776*lu1^9*f42[t]*f42n[t]^2 - 4138521477368994301478383040*lu1^10*f42[t]*f42n[t]^2 + 7165818195663043341268615552*lu1^11*f42[t]*f42n[t]^2 + 46209424660156003231668950784*lu1^12*f42[t]*f42n[t]^2 + 59568008416309685504267015680*lu1^13*f42[t]*f42n[t]^2 + 25168769219505413689726694400*lu1^14*f42[t]*f42n[t]^2 + 2099790600421296261911040000*lu1^15*f42[t]*f42n[t]^2 - 119254364282736*Sqrt[70]*f40[t]*f42[t]*f44[t] + 7962361276370400*Sqrt[70]*lu1*f40[t]*f42[t]*f44[t] - 5513529215271168*Sqrt[70]*lu1^2*f40[t]*f42[t]*f44[t] - 16353131992541336736*Sqrt[70]*lu1^3*f40[t]*f42[t]*f44[t] + 742457349713172446496*Sqrt[70]*lu1^4*f40[t]*f42[t]*f44[t] - 329161895054158875552*Sqrt[70]*lu1^5*f40[t]*f42[t]*f44[t] - 240501927439779591442752*Sqrt[70]*lu1^6*f40[t]*f42[t]*f44[t] + 427303784134413931520160*Sqrt[70]*lu1^7*f40[t]*f42[t]*f44[t] + 15167250873851207969767248*Sqrt[70]*lu1^8*f40[t]*f42[t]*f44[t] - 5453500751472114857348928*Sqrt[70]*lu1^9*f40[t]*f42[t]*f44[t] - 308902534574105135261499840*Sqrt[70]*lu1^10*f40[t]*f42[t]*f44[t] - 386410119167127501025668864*Sqrt[70]*lu1^11*f40[t]*f42[t]*f44[t] + 1063751124700332261656946432*Sqrt[70]*lu1^12*f40[t]*f42[t]*f44[t] + 2322024243748437910585328640*Sqrt[70]*lu1^13*f40[t]*f42[t]*f44[t] + 1305558795714383937531571200*Sqrt[70]*lu1^14*f40[t]*f42[t]*f44[t] + 190540236031446860536320000*Sqrt[70]*lu1^15*f40[t]*f42[t]*f44[t] + 2319445578172968*f42[t]*f44[t]^2 - 79206854061779640*lu1*f42[t]* f44[t]^2 - 2581644337086663576*lu1^2*f42[t]*f44[t]^2 - 6857788516879342392*lu1^3*f42[t]*f44[t]^2 - 1876896041457538738728* lu1^4*f42[t]*f44[t]^2 + 138918183918005378635896*lu1^5*f42[t]* f44[t]^2 - 637806740001138266802824*lu1^6*f42[t]*f44[t]^2 - 13067314281729138603033960*lu1^7*f42[t]*f44[t]^2 + 192526078417788302056625056*lu1^8*f42[t]*f44[t]^2 - 570245181176642487906516896*lu1^9*f42[t]*f44[t]^2 - 3623683919745485742709216640*lu1^10*f42[t]*f44[t]^2 + 7809835060941589176311396992*lu1^11*f42[t]*f44[t]^2 + 44436506118988782795574040064*lu1^12*f42[t]*f44[t]^2 + 55697968010062288986624801280*lu1^13*f42[t]*f44[t]^2 + 22992837893314773793840742400*lu1^14*f42[t]*f44[t]^2 + 1782223540368884827683840000*lu1^15*f42[t]*f44[t]^2 - 63154764518040*Sqrt[210]*f22n[t]*f40[t]*f44n[t] + 3775307130550800*Sqrt[210]*lu1*f22n[t]*f40[t]*f44n[t] + 68345109975593880*Sqrt[210]*lu1^2*f22n[t]*f40[t]*f44n[t] - 6815947168067553360*Sqrt[210]*lu1^3*f22n[t]*f40[t]*f44n[t] + 109224114220507542360*Sqrt[210]*lu1^4*f22n[t]*f40[t]*f44n[t] + 859455238233149525760*Sqrt[210]*lu1^5*f22n[t]*f40[t]*f44n[t] - 33402517188735159112440*Sqrt[210]*lu1^6*f22n[t]*f40[t]*f44n[t] - 25281359265142059078480*Sqrt[210]*lu1^7*f22n[t]*f40[t]*f44n[t] - 1979722771307506701016320*Sqrt[210]*lu1^8*f22n[t]*f40[t]*f44n[t] + 25613983332731437188389520*Sqrt[210]*lu1^9*f22n[t]*f40[t]*f44n[t] + 333890608683640603772030880*Sqrt[210]*lu1^10*f22n[t]*f40[t]* f44n[t] + 507093616010761506605598720*Sqrt[210]*lu1^11*f22n[t]* f40[t]*f44n[t] - 554786906231818206509172480*Sqrt[210]*lu1^12* f22n[t]*f40[t]*f44n[t] - 1332076248052202506122796800*Sqrt[210]* lu1^13*f22n[t]*f40[t]*f44n[t] - 644255551952316377411520000* Sqrt[210]*lu1^14*f22n[t]*f40[t]*f44n[t] - 154958118420559806293760000*Sqrt[210]*lu1^15*f22n[t]*f40[t]* f44n[t] - 119254364282736*Sqrt[70]*f40[t]*f42n[t]*f44n[t] + 7962361276370400*Sqrt[70]*lu1*f40[t]*f42n[t]*f44n[t] - 5513529215271168*Sqrt[70]*lu1^2*f40[t]*f42n[t]*f44n[t] - 16353131992541336736*Sqrt[70]*lu1^3*f40[t]*f42n[t]*f44n[t] + 742457349713172446496*Sqrt[70]*lu1^4*f40[t]*f42n[t]*f44n[t] - 329161895054158875552*Sqrt[70]*lu1^5*f40[t]*f42n[t]*f44n[t] - 240501927439779591442752*Sqrt[70]*lu1^6*f40[t]*f42n[t]*f44n[t] + 427303784134413931520160*Sqrt[70]*lu1^7*f40[t]*f42n[t]*f44n[t] + 15167250873851207969767248*Sqrt[70]*lu1^8*f40[t]*f42n[t]*f44n[t] - 5453500751472114857348928*Sqrt[70]*lu1^9*f40[t]*f42n[t]*f44n[t] - 308902534574105135261499840*Sqrt[70]*lu1^10*f40[t]*f42n[t]*f44n[t] - 386410119167127501025668864*Sqrt[70]*lu1^11*f40[t]*f42n[t]*f44n[t] + 1063751124700332261656946432*Sqrt[70]*lu1^12*f40[t]*f42n[t]* f44n[t] + 2322024243748437910585328640*Sqrt[70]*lu1^13*f40[t]* f42n[t]*f44n[t] + 1305558795714383937531571200*Sqrt[70]*lu1^14* f40[t]*f42n[t]*f44n[t] + 190540236031446860536320000*Sqrt[70]* lu1^15*f40[t]*f42n[t]*f44n[t] + 2319445578172968*f42[t]*f44n[t]^2 - 79206854061779640*lu1*f42[t]*f44n[t]^2 - 2581644337086663576*lu1^2* f42[t]*f44n[t]^2 - 6857788516879342392*lu1^3*f42[t]*f44n[t]^2 - 1876896041457538738728*lu1^4*f42[t]*f44n[t]^2 + 138918183918005378635896*lu1^5*f42[t]*f44n[t]^2 - 637806740001138266802824*lu1^6*f42[t]*f44n[t]^2 - 13067314281729138603033960*lu1^7*f42[t]*f44n[t]^2 + 192526078417788302056625056*lu1^8*f42[t]*f44n[t]^2 - 570245181176642487906516896*lu1^9*f42[t]*f44n[t]^2 - 3623683919745485742709216640*lu1^10*f42[t]*f44n[t]^2 + 7809835060941589176311396992*lu1^11*f42[t]*f44n[t]^2 + 44436506118988782795574040064*lu1^12*f42[t]*f44n[t]^2 + 55697968010062288986624801280*lu1^13*f42[t]*f44n[t]^2 + 22992837893314773793840742400*lu1^14*f42[t]*f44n[t]^2 + 1782223540368884827683840000*lu1^15*f42[t]*f44n[t]^2 + 8228763006750*Sqrt[5]*f40[t]*f42[t]*g20[t] - 3722146298853840* Sqrt[5]*lu1*f40[t]*f42[t]*g20[t] + 99410454779252760*Sqrt[5]*lu1^2* f40[t]*f42[t]*g20[t] + 9615109304267181000*Sqrt[5]*lu1^3*f40[t]* f42[t]*g20[t] - 221655854962734578100*Sqrt[5]*lu1^4*f40[t]*f42[t]* g20[t] - 5294105088470305244280*Sqrt[5]*lu1^5*f40[t]*f42[t]* g20[t] + 65885775338583460465920*Sqrt[5]*lu1^6*f40[t]*f42[t]* g20[t] + 1060351412106059636242680*Sqrt[5]*lu1^7*f40[t]*f42[t]* g20[t] - 2373546714582193189889850*Sqrt[5]*lu1^8*f40[t]*f42[t]* g20[t] - 62661230922856677985387800*Sqrt[5]*lu1^9*f40[t]*f42[t]* g20[t] - 268905259136549560070505960*Sqrt[5]*lu1^10*f40[t]*f42[t]* g20[t] - 627544034070780384587858400*Sqrt[5]*lu1^11*f40[t]*f42[t]* g20[t] - 686112226866847896460282080*Sqrt[5]*lu1^12*f40[t]*f42[t]* g20[t] + 163017653977144062369187200*Sqrt[5]*lu1^13*f40[t]*f42[t]* g20[t] + 632345131775443609098576000*Sqrt[5]*lu1^14*f40[t]*f42[t]* g20[t] + 125815965358133163072960000*Sqrt[5]*lu1^15*f40[t]*f42[t]* g20[t] - 12958117701750*Sqrt[14]*f42[t]*f44[t]*g20[t] - 1982752854760080*Sqrt[14]*lu1*f42[t]*f44[t]*g20[t] + 119360821777521480*Sqrt[14]*lu1^2*f42[t]*f44[t]*g20[t] + 5867572166981979480*Sqrt[14]*lu1^3*f42[t]*f44[t]*g20[t] - 188409548191997712060*Sqrt[14]*lu1^4*f42[t]*f44[t]*g20[t] - 4155236176773420446760*Sqrt[14]*lu1^5*f42[t]*f44[t]*g20[t] + 56444515685773054819200*Sqrt[14]*lu1^6*f42[t]*f44[t]*g20[t] + 956519727478682339480040*Sqrt[14]*lu1^7*f42[t]*f44[t]*g20[t] - 2337116172775123829177790*Sqrt[14]*lu1^8*f42[t]*f44[t]*g20[t] - 63177949997100125172034920*Sqrt[14]*lu1^9*f42[t]*f44[t]*g20[t] - 195018774619961788595419320*Sqrt[14]*lu1^10*f42[t]*f44[t]*g20[t] - 32656196375097326621534880*Sqrt[14]*lu1^11*f42[t]*f44[t]*g20[t] + 356570613196430293485732960*Sqrt[14]*lu1^12*f42[t]*f44[t]*g20[t] - 7349445885172964571273600*Sqrt[14]*lu1^13*f42[t]*f44[t]*g20[t] - 414910786344216529021200000*Sqrt[14]*lu1^14*f42[t]*f44[t]*g20[t] - 67673968065835620914880000*Sqrt[14]*lu1^15*f42[t]*f44[t]*g20[t] + 1584943620390*Sqrt[42]*f22n[t]*f44n[t]*g20[t] + 379709879475420*Sqrt[42]*lu1*f22n[t]*f44n[t]*g20[t] - 19347542402399640*Sqrt[42]*lu1^2*f22n[t]*f44n[t]*g20[t] - 1089243343275232860*Sqrt[42]*lu1^3*f22n[t]*f44n[t]*g20[t] + 32950401617808351300*Sqrt[42]*lu1^4*f22n[t]*f44n[t]*g20[t] + 715192661254808501700*Sqrt[42]*lu1^5*f22n[t]*f44n[t]*g20[t] - 11125258993823646430720*Sqrt[42]*lu1^6*f22n[t]*f44n[t]*g20[t] - 135825670057079701385700*Sqrt[42]*lu1^7*f22n[t]*f44n[t]*g20[t] + 575578230819200696538230*Sqrt[42]*lu1^8*f22n[t]*f44n[t]*g20[t] + 7458291466222846265525600*Sqrt[42]*lu1^9*f22n[t]*f44n[t]*g20[t] + 25540198580374802173817240*Sqrt[42]*lu1^10*f22n[t]*f44n[t]*g20[t] + 20335705341039309879769280*Sqrt[42]*lu1^11*f22n[t]*f44n[t]*g20[t] - 127235440540018346671830240*Sqrt[42]*lu1^12*f22n[t]*f44n[t]*g20[t] - 197113053249513294371046400*Sqrt[42]*lu1^13*f22n[t]*f44n[t]*g20[t] - 43280535748194532442928000*Sqrt[42]*lu1^14*f22n[t]*f44n[t]*g20[t] + 142064857136731576320000*Sqrt[42]*lu1^15*f22n[t]*f44n[t]*g20[t] - 12958117701750*Sqrt[14]*f42n[t]*f44n[t]*g20[t] - 1982752854760080*Sqrt[14]*lu1*f42n[t]*f44n[t]*g20[t] + 119360821777521480*Sqrt[14]*lu1^2*f42n[t]*f44n[t]*g20[t] + 5867572166981979480*Sqrt[14]*lu1^3*f42n[t]*f44n[t]*g20[t] - 188409548191997712060*Sqrt[14]*lu1^4*f42n[t]*f44n[t]*g20[t] - 4155236176773420446760*Sqrt[14]*lu1^5*f42n[t]*f44n[t]*g20[t] + 56444515685773054819200*Sqrt[14]*lu1^6*f42n[t]*f44n[t]*g20[t] + 956519727478682339480040*Sqrt[14]*lu1^7*f42n[t]*f44n[t]*g20[t] - 2337116172775123829177790*Sqrt[14]*lu1^8*f42n[t]*f44n[t]*g20[t] - 63177949997100125172034920*Sqrt[14]*lu1^9*f42n[t]*f44n[t]*g20[t] - 195018774619961788595419320*Sqrt[14]*lu1^10*f42n[t]*f44n[t]*g20[t] - 32656196375097326621534880*Sqrt[14]*lu1^11*f42n[t]*f44n[t]*g20[t] + 356570613196430293485732960*Sqrt[14]*lu1^12*f42n[t]*f44n[t]*g20[t] - 7349445885172964571273600*Sqrt[14]*lu1^13*f42n[t]*f44n[t]*g20[t] - 414910786344216529021200000*Sqrt[14]*lu1^14*f42n[t]*f44n[t]*g20[t] - 67673968065835620914880000*Sqrt[14]*lu1^15*f42n[t]*f44n[t]*g20[t] + 1827081586395*f42[t]*g20[t]^2 - 179932217005125*lu1*f42[t]* g20[t]^2 + 338696465439735*lu1^2*f42[t]*g20[t]^2 + 386784862640550855*lu1^3*f42[t]*g20[t]^2 - 7862671517404901535*lu1^4* f42[t]*g20[t]^2 - 130574241180930453855*lu1^5*f42[t]*g20[t]^2 + 3241112155811086866205*lu1^6*f42[t]*g20[t]^2 + 24282377696583798851085*lu1^7*f42[t]*g20[t]^2 - 476438438921521982007440*lu1^8*f42[t]*g20[t]^2 - 3352505479915887277208720*lu1^9*f42[t]*g20[t]^2 + 21274149531309147606165760*lu1^10*f42[t]*g20[t]^2 + 222552682854517508286969760*lu1^11*f42[t]*g20[t]^2 + 580805098979104291494209280*lu1^12*f42[t]*g20[t]^2 + 363106932020416178928486400*lu1^13*f42[t]*g20[t]^2 - 361972739993973500954016000*lu1^14*f42[t]*g20[t]^2 - 344054814194565380481120000*lu1^15*f42[t]*g20[t]^2 + 271394554860*Sqrt[3]*f22n[t]^2*g22[t] - 160456078926000*Sqrt[3]*lu1* f22n[t]^2*g22[t] + 4936327005753000*Sqrt[3]*lu1^2*f22n[t]^2* g22[t] + 425398675687694280*Sqrt[3]*lu1^3*f22n[t]^2*g22[t] - 11817786068285408640*Sqrt[3]*lu1^4*f22n[t]^2*g22[t] - 236454281316834523800*Sqrt[3]*lu1^5*f22n[t]^2*g22[t] + 5292447132986817809720*Sqrt[3]*lu1^6*f22n[t]^2*g22[t] + 17863580554273288263000*Sqrt[3]*lu1^7*f22n[t]^2*g22[t] - 441644240223855857900140*Sqrt[3]*lu1^8*f22n[t]^2*g22[t] + 650009466649158223785320*Sqrt[3]*lu1^9*f22n[t]^2*g22[t] + 14565905551938076722145760*Sqrt[3]*lu1^10*f22n[t]^2*g22[t] + 58547836089043833046898240*Sqrt[3]*lu1^11*f22n[t]^2*g22[t] - 183617880327567099351537600*Sqrt[3]*lu1^12*f22n[t]^2*g22[t] - 527754861598124992202800000*Sqrt[3]*lu1^13*f22n[t]^2*g22[t] - 297755511719866886125440000*Sqrt[3]*lu1^14*f22n[t]^2*g22[t] - 24743152711652613638400000*Sqrt[3]*lu1^15*f22n[t]^2*g22[t] + 1959112291500*Sqrt[3]*f40[t]^2*g22[t] + 942114720257100*Sqrt[3]*lu1* f40[t]^2*g22[t] - 29969464426012800*Sqrt[3]*lu1^2*f40[t]^2*g22[t] - 2859714617881750200*Sqrt[3]*lu1^3*f40[t]^2*g22[t] + 40047091054469522400*Sqrt[3]*lu1^4*f40[t]^2*g22[t] + 2003506395334911511200*Sqrt[3]*lu1^5*f40[t]^2*g22[t] + 2497493623647204709800*Sqrt[3]*lu1^6*f40[t]^2*g22[t] - 267304652666410665875400*Sqrt[3]*lu1^7*f40[t]^2*g22[t] - 3349255601563022399901900*Sqrt[3]*lu1^8*f40[t]^2*g22[t] - 23652804197278988362694700*Sqrt[3]*lu1^9*f40[t]^2*g22[t] - 65362758303612140093322600*Sqrt[3]*lu1^10*f40[t]^2*g22[t] - 74227814277980689407868800*Sqrt[3]*lu1^11*f40[t]^2*g22[t] - 22743281696790833113977600*Sqrt[3]*lu1^12*f40[t]^2*g22[t] + 98907988681271406696072000*Sqrt[3]*lu1^13*f40[t]^2*g22[t] + 93673266349060827177840000*Sqrt[3]*lu1^14*f40[t]^2*g22[t] - 75197560549491749678400000*Sqrt[3]*lu1^15*f40[t]^2*g22[t] + 9436132648800*Sqrt[3]*f42[t]^2*g22[t] + 3420593037108000*Sqrt[3]*lu1* f42[t]^2*g22[t] - 164983947922591200*Sqrt[3]*lu1^2*f42[t]^2* g22[t] - 9365283819307166400*Sqrt[3]*lu1^3*f42[t]^2*g22[t] + 298601394195122335200*Sqrt[3]*lu1^4*f42[t]^2*g22[t] + 5892022967536213934400*Sqrt[3]*lu1^5*f42[t]^2*g22[t] - 100792817534944724623200*Sqrt[3]*lu1^6*f42[t]^2*g22[t] - 1432271665978364014814400*Sqrt[3]*lu1^7*f42[t]^2*g22[t] + 6592813373445825648907200*Sqrt[3]*lu1^8*f42[t]^2*g22[t] + 123960467149201675716890400*Sqrt[3]*lu1^9*f42[t]^2*g22[t] + 414264739934453245471233600*Sqrt[3]*lu1^10*f42[t]^2*g22[t] + 411253164228721624878681600*Sqrt[3]*lu1^11*f42[t]^2*g22[t] - 54748309938312061012032000*Sqrt[3]*lu1^12*f42[t]^2*g22[t] - 152060864400887364541632000*Sqrt[3]*lu1^13*f42[t]^2*g22[t] + 92951405101282150899840000*Sqrt[3]*lu1^14*f42[t]^2*g22[t] + 76203028504001709273600000*Sqrt[3]*lu1^15*f42[t]^2*g22[t] + 29835955078020*f22n[t]*f42n[t]*g22[t] + 1819249323914880*lu1*f22n[t]* f42n[t]*g22[t] - 191917124062971840*lu1^2*f22n[t]*f42n[t]*g22[t] - 5494337510994432360*lu1^3*f22n[t]*f42n[t]*g22[t] + 288503285376663151080*lu1^4*f22n[t]*f42n[t]*g22[t] + 3514146567120305798760*lu1^5*f22n[t]*f42n[t]*g22[t] - 113440182266794741316400*lu1^6*f22n[t]*f42n[t]*g22[t] - 437839793864707964210520*lu1^7*f22n[t]*f42n[t]*g22[t] + 10669210340047890125095380*lu1^8*f22n[t]*f42n[t]*g22[t] + 12054211671304409249387160*lu1^9*f22n[t]*f42n[t]*g22[t] - 270233649848763338233401360*lu1^10*f22n[t]*f42n[t]*g22[t] - 485388535368627328430541120*lu1^11*f22n[t]*f42n[t]*g22[t] + 74119667870325452310736320*lu1^12*f22n[t]*f42n[t]*g22[t] + 112537988114101184539632000*lu1^13*f22n[t]*f42n[t]*g22[t] - 763780088213852687988192000*lu1^14*f22n[t]*f42n[t]*g22[t] - 622554648233545439193600000*lu1^15*f22n[t]*f42n[t]*g22[t] - 45522083681100*Sqrt[3]*f42n[t]^2*g22[t] + 249491423277720*Sqrt[3]* lu1*f42n[t]^2*g22[t] + 161274158045329680*Sqrt[3]*lu1^2*f42n[t]^2* g22[t] + 1390152308206877280*Sqrt[3]*lu1^3*f42n[t]^2*g22[t] - 154558924457680221960*Sqrt[3]*lu1^4*f42n[t]^2*g22[t] - 3248335367362057854960*Sqrt[3]*lu1^5*f42n[t]^2*g22[t] + 41283628757098564465200*Sqrt[3]*lu1^6*f42n[t]^2*g22[t] + 907694061604180660686240*Sqrt[3]*lu1^7*f42n[t]^2*g22[t] - 942768119439310828148940*Sqrt[3]*lu1^8*f42n[t]^2*g22[t] - 54491906929553700606927720*Sqrt[3]*lu1^9*f42n[t]^2*g22[t] - 58043944523635275345460320*Sqrt[3]*lu1^10*f42n[t]^2*g22[t] + 889366685879619536091097920*Sqrt[3]*lu1^11*f42n[t]^2*g22[t] + 1929692185970063911650346560*Sqrt[3]*lu1^12*f42n[t]^2*g22[t] - 302463291151157067660393600*Sqrt[3]*lu1^13*f42n[t]^2*g22[t] - 2023263970063331067072000000*Sqrt[3]*lu1^14*f42n[t]^2*g22[t] - 327829843981992097025280000*Sqrt[3]*lu1^15*f42n[t]^2*g22[t] - 7855100217900*Sqrt[210]*f40[t]*f44[t]*g22[t] - 944989348403880*Sqrt[210]*lu1*f40[t]*f44[t]*g22[t] + 67586095414609200*Sqrt[210]*lu1^2*f40[t]*f44[t]*g22[t] + 2767828930835286240*Sqrt[210]*lu1^3*f40[t]*f44[t]*g22[t] - 109587529039543999080*Sqrt[210]*lu1^4*f40[t]*f44[t]*g22[t] - 1968754893048315693360*Sqrt[210]*lu1^5*f40[t]*f44[t]*g22[t] + 38628674573307585096720*Sqrt[210]*lu1^6*f40[t]*f44[t]*g22[t] + 530757957252557293303200*Sqrt[210]*lu1^7*f40[t]*f44[t]*g22[t] - 2897779689141958179412620*Sqrt[210]*lu1^8*f40[t]*f44[t]*g22[t] - 51579755010311678793101160*Sqrt[210]*lu1^9*f40[t]*f44[t]*g22[t] - 156157619734752715100941920*Sqrt[210]*lu1^10*f40[t]*f44[t]*g22[t] - 51461923294590493510837440*Sqrt[210]*lu1^11*f40[t]*f44[t]*g22[t] + 228616429452237195744897600*Sqrt[210]*lu1^12*f40[t]*f44[t]*g22[t] + 34663564882393252964246400*Sqrt[210]*lu1^13*f40[t]*f44[t]*g22[t] - 239137884356520021809664000*Sqrt[210]*lu1^14*f40[t]*f44[t]*g22[t] - 75195002930353780481280000*Sqrt[210]*lu1^15*f40[t]*f44[t]*g22[t] + 10169715628800*Sqrt[3]*f44[t]^2*g22[t] - 7635590169905880*Sqrt[3]* lu1*f44[t]^2*g22[t] + 242431433432304480*Sqrt[3]*lu1^2*f44[t]^2* g22[t] + 19710275845064248080*Sqrt[3]*lu1^3*f44[t]^2*g22[t] - 520861566121437537360*Sqrt[3]*lu1^4*f44[t]^2*g22[t] - 10954159953720996972960*Sqrt[3]*lu1^5*f44[t]^2*g22[t] + 172398220149392269796400*Sqrt[3]*lu1^6*f44[t]^2*g22[t] + 2437617059331548033088240*Sqrt[3]*lu1^7*f44[t]^2*g22[t] - 10324277599556762479113840*Sqrt[3]*lu1^8*f44[t]^2*g22[t] - 195824460213848225454032520*Sqrt[3]*lu1^9*f44[t]^2*g22[t] - 746258344650741547316611920*Sqrt[3]*lu1^10*f44[t]^2*g22[t] - 1365932242858535814212849280*Sqrt[3]*lu1^11*f44[t]^2*g22[t] - 1161802649638891263666848640*Sqrt[3]*lu1^12*f44[t]^2*g22[t] + 439825263781698503059478400*Sqrt[3]*lu1^13*f44[t]^2*g22[t] + 1100490992273615858129760000*Sqrt[3]*lu1^14*f44[t]^2*g22[t] + 116278879346319145921920000*Sqrt[3]*lu1^15*f44[t]^2*g22[t] + 10169715628800*Sqrt[3]*f44n[t]^2*g22[t] - 7635590169905880*Sqrt[3]* lu1*f44n[t]^2*g22[t] + 242431433432304480*Sqrt[3]*lu1^2*f44n[t]^2* g22[t] + 19710275845064248080*Sqrt[3]*lu1^3*f44n[t]^2*g22[t] - 520861566121437537360*Sqrt[3]*lu1^4*f44n[t]^2*g22[t] - 10954159953720996972960*Sqrt[3]*lu1^5*f44n[t]^2*g22[t] + 172398220149392269796400*Sqrt[3]*lu1^6*f44n[t]^2*g22[t] + 2437617059331548033088240*Sqrt[3]*lu1^7*f44n[t]^2*g22[t] - 10324277599556762479113840*Sqrt[3]*lu1^8*f44n[t]^2*g22[t] - 195824460213848225454032520*Sqrt[3]*lu1^9*f44n[t]^2*g22[t] - 746258344650741547316611920*Sqrt[3]*lu1^10*f44n[t]^2*g22[t] - 1365932242858535814212849280*Sqrt[3]*lu1^11*f44n[t]^2*g22[t] - 1161802649638891263666848640*Sqrt[3]*lu1^12*f44n[t]^2*g22[t] + 439825263781698503059478400*Sqrt[3]*lu1^13*f44n[t]^2*g22[t] + 1100490992273615858129760000*Sqrt[3]*lu1^14*f44n[t]^2*g22[t] + 116278879346319145921920000*Sqrt[3]*lu1^15*f44n[t]^2*g22[t] + 360566506755*Sqrt[15]*f40[t]*g20[t]*g22[t] - 18809580023325*Sqrt[15]* lu1*f40[t]*g20[t]*g22[t] - 419006484740025*Sqrt[15]*lu1^2*f40[t]* g20[t]*g22[t] + 21127477328689095*Sqrt[15]*lu1^3*f40[t]*g20[t]* g22[t] - 405422068284524655*Sqrt[15]*lu1^4*f40[t]*g20[t]*g22[t] + 23408535904862009265*Sqrt[15]*lu1^5*f40[t]*g20[t]*g22[t] - 38554089007104858915*Sqrt[15]*lu1^6*f40[t]*g20[t]*g22[t] - 7699484446689085867635*Sqrt[15]*lu1^7*f40[t]*g20[t]*g22[t] - 17014256409416652782760*Sqrt[15]*lu1^8*f40[t]*g20[t]*g22[t] + 496765247042151980987640*Sqrt[15]*lu1^9*f40[t]*g20[t]*g22[t] + 6182324953972169098365360*Sqrt[15]*lu1^10*f40[t]*g20[t]*g22[t] + 52610748684091922798903520*Sqrt[15]*lu1^11*f40[t]*g20[t]*g22[t] + 152561424098218866654094080*Sqrt[15]*lu1^12*f40[t]*g20[t]*g22[t] + 108087112374900177188342400*Sqrt[15]*lu1^13*f40[t]*g20[t]*g22[t] - 73417789166114790511296000*Sqrt[15]*lu1^14*f40[t]*g20[t]*g22[t] - 73495493223801239092320000*Sqrt[15]*lu1^15*f40[t]*g20[t]*g22[t] - 290175836535*Sqrt[42]*f44[t]*g20[t]*g22[t] - 5445954548775*Sqrt[42]* lu1*f44[t]*g20[t]*g22[t] + 1675050561772965*Sqrt[42]*lu1^2*f44[t]* g20[t]*g22[t] + 10212192204063525*Sqrt[42]*lu1^3*f44[t]*g20[t]* g22[t] - 2480758864653513405*Sqrt[42]*lu1^4*f44[t]*g20[t]*g22[t] + 3267529579896404355*Sqrt[42]*lu1^5*f44[t]*g20[t]*g22[t] + 1019743728391333425415*Sqrt[42]*lu1^6*f44[t]*g20[t]*g22[t] - 322835342303234311785*Sqrt[42]*lu1^7*f44[t]*g20[t]*g22[t] - 171879956588029872221000*Sqrt[42]*lu1^8*f44[t]*g20[t]*g22[t] - 435723128786234629341560*Sqrt[42]*lu1^9*f44[t]*g20[t]*g22[t] + 10172930379069057762307600*Sqrt[42]*lu1^10*f44[t]*g20[t]*g22[t] + 61072719465458323209726880*Sqrt[42]*lu1^11*f44[t]*g20[t]*g22[t] + 96718905343656063151057920*Sqrt[42]*lu1^12*f44[t]*g20[t]*g22[t] - 30116114666302068575350400*Sqrt[42]*lu1^13*f44[t]*g20[t]*g22[t] - 133424709380752367532864000*Sqrt[42]*lu1^14*f44[t]*g20[t]*g22[t] - 45510735912704858184480000*Sqrt[42]*lu1^15*f44[t]*g20[t]*g22[t] - 179900216730*f42[t]*g22[t]^2 - 303938215735050*lu1*f42[t]*g22[t]^2 + 14497779286990350*lu1^2*f42[t]*g22[t]^2 + 739417684066100910*lu1^3* f42[t]*g22[t]^2 - 31063544745961773630*lu1^4*f42[t]*g22[t]^2 - 355318454826896123550*lu1^5*f42[t]*g22[t]^2 + 13813200855397032004890*lu1^6*f42[t]*g22[t]^2 + 84802330230490386857850*lu1^7*f42[t]*g22[t]^2 - 2070965291912169805648080*lu1^8*f42[t]*g22[t]^2 - 12238899096546176864746560*lu1^9*f42[t]*g22[t]^2 + 82847186946240854056657920*lu1^10*f42[t]*g22[t]^2 + 609560658546783665047510080*lu1^11*f42[t]*g22[t]^2 + 1075835414872706691775353600*lu1^12*f42[t]*g22[t]^2 - 25034500497783008112192000*lu1^13*f42[t]*g22[t]^2 - 1290829499822639622081600000*lu1^14*f42[t]*g22[t]^2 - 639207313659058572792000000*lu1^15*f42[t]*g22[t]^2 - 90904867150500*f22n[t]*f42[t]*g22n[t] + 3531861225832680*lu1*f22n[t]* f42[t]*g22n[t] + 224792974877196960*lu1^2*f22n[t]*f42[t]*g22n[t] - 6434124553351090440*lu1^3*f22n[t]*f42[t]*g22n[t] - 120707029895372083800*lu1^4*f22n[t]*f42[t]*g22n[t] + 1007647853061608236920*lu1^5*f22n[t]*f42[t]*g22n[t] + 41746373241378080308800*lu1^6*f22n[t]*f42[t]*g22n[t] + 17106041601442724129160*lu1^7*f22n[t]*f42[t]*g22n[t] - 3151835474809486866968580*lu1^8*f22n[t]*f42[t]*g22n[t] - 8081756007318441714396000*lu1^9*f22n[t]*f42[t]*g22n[t] - 117039752254764401347827360*lu1^10*f22n[t]*f42[t]*g22n[t] - 1233779329995918265373973120*lu1^11*f22n[t]*f42[t]*g22n[t] - 3689007064175080930670406720*lu1^12*f22n[t]*f42[t]*g22n[t] - 3637542118694376951322368000*lu1^13*f22n[t]*f42[t]*g22n[t] + 297600972045563271076992000*lu1^14*f22n[t]*f42[t]*g22n[t] + 1493364590937147523795200000*lu1^15*f22n[t]*f42[t]*g22n[t] + 54958216329900*Sqrt[3]*f42[t]*f42n[t]*g22n[t] + 3171101613830280*Sqrt[3]*lu1*f42[t]*f42n[t]*g22n[t] - 326258105967920880*Sqrt[3]*lu1^2*f42[t]*f42n[t]*g22n[t] - 10755436127514043680*Sqrt[3]*lu1^3*f42[t]*f42n[t]*g22n[t] + 453160318652802557160*Sqrt[3]*lu1^4*f42[t]*f42n[t]*g22n[t] + 9140358334898271789360*Sqrt[3]*lu1^5*f42[t]*f42n[t]*g22n[t] - 142076446292043289088400*Sqrt[3]*lu1^6*f42[t]*f42n[t]*g22n[t] - 2339965727582544675500640*Sqrt[3]*lu1^7*f42[t]*f42n[t]*g22n[t] + 7535581492885136477056140*Sqrt[3]*lu1^8*f42[t]*f42n[t]*g22n[t] + 178452374078755376323818120*Sqrt[3]*lu1^9*f42[t]*f42n[t]*g22n[t] + 472308684458088520816693920*Sqrt[3]*lu1^10*f42[t]*f42n[t]*g22n[t] - 478113521650897911212416320*Sqrt[3]*lu1^11*f42[t]*f42n[t]*g22n[t] - 1984440495908375972662378560*Sqrt[3]*lu1^12*f42[t]*f42n[t]*g22n[t] + 150402426750269703118761600*Sqrt[3]*lu1^13*f42[t]*f42n[t]*g22n[t] + 2116215375164613217971840000*Sqrt[3]*lu1^14*f42[t]*f42n[t]*g22n[t] + 404032872485993806298880000*Sqrt[3]*lu1^15*f42[t]*f42n[t]*g22n[t] - 7855100217900*Sqrt[210]*f40[t]*f44n[t]*g22n[t] - 944989348403880*Sqrt[210]*lu1*f40[t]*f44n[t]*g22n[t] + 67586095414609200*Sqrt[210]*lu1^2*f40[t]*f44n[t]*g22n[t] + 2767828930835286240*Sqrt[210]*lu1^3*f40[t]*f44n[t]*g22n[t] - 109587529039543999080*Sqrt[210]*lu1^4*f40[t]*f44n[t]*g22n[t] - 1968754893048315693360*Sqrt[210]*lu1^5*f40[t]*f44n[t]*g22n[t] + 38628674573307585096720*Sqrt[210]*lu1^6*f40[t]*f44n[t]*g22n[t] + 530757957252557293303200*Sqrt[210]*lu1^7*f40[t]*f44n[t]*g22n[t] - 2897779689141958179412620*Sqrt[210]*lu1^8*f40[t]*f44n[t]*g22n[t] - 51579755010311678793101160*Sqrt[210]*lu1^9*f40[t]*f44n[t]*g22n[t] - 156157619734752715100941920*Sqrt[210]*lu1^10*f40[t]*f44n[t]* g22n[t] - 51461923294590493510837440*Sqrt[210]*lu1^11*f40[t]* f44n[t]*g22n[t] + 228616429452237195744897600*Sqrt[210]*lu1^12* f40[t]*f44n[t]*g22n[t] + 34663564882393252964246400*Sqrt[210]* lu1^13*f40[t]*f44n[t]*g22n[t] - 239137884356520021809664000* Sqrt[210]*lu1^14*f40[t]*f44n[t]*g22n[t] - 75195002930353780481280000*Sqrt[210]*lu1^15*f40[t]*f44n[t]*g22n[t] - 290175836535*Sqrt[42]*f44n[t]*g20[t]*g22n[t] - 5445954548775*Sqrt[42]*lu1*f44n[t]*g20[t]*g22n[t] + 1675050561772965*Sqrt[42]*lu1^2*f44n[t]*g20[t]*g22n[t] + 10212192204063525*Sqrt[42]*lu1^3*f44n[t]*g20[t]*g22n[t] - 2480758864653513405*Sqrt[42]*lu1^4*f44n[t]*g20[t]*g22n[t] + 3267529579896404355*Sqrt[42]*lu1^5*f44n[t]*g20[t]*g22n[t] + 1019743728391333425415*Sqrt[42]*lu1^6*f44n[t]*g20[t]*g22n[t] - 322835342303234311785*Sqrt[42]*lu1^7*f44n[t]*g20[t]*g22n[t] - 171879956588029872221000*Sqrt[42]*lu1^8*f44n[t]*g20[t]*g22n[t] - 435723128786234629341560*Sqrt[42]*lu1^9*f44n[t]*g20[t]*g22n[t] + 10172930379069057762307600*Sqrt[42]*lu1^10*f44n[t]*g20[t]*g22n[t] + 61072719465458323209726880*Sqrt[42]*lu1^11*f44n[t]*g20[t]*g22n[t] + 96718905343656063151057920*Sqrt[42]*lu1^12*f44n[t]*g20[t]*g22n[t] - 30116114666302068575350400*Sqrt[42]*lu1^13*f44n[t]*g20[t]*g22n[t] - 133424709380752367532864000*Sqrt[42]*lu1^14*f44n[t]*g20[t]*g22n[t] - 45510735912704858184480000*Sqrt[42]*lu1^15*f44n[t]*g20[t]*g22n[t] + 650379311010*Sqrt[3]*f22n[t]*g22[t]*g22n[t] - 20090339021610*Sqrt[3]* lu1*f22n[t]*g22[t]*g22n[t] - 2183167913393610*Sqrt[3]*lu1^2*f22n[t]* g22[t]*g22n[t] + 48323957134952070*Sqrt[3]*lu1^3*f22n[t]*g22[t]* g22n[t] + 2187437698043396370*Sqrt[3]*lu1^4*f22n[t]*g22[t]* g22n[t] - 30658628369199723750*Sqrt[3]*lu1^5*f22n[t]*g22[t]* g22n[t] - 912776613104535924030*Sqrt[3]*lu1^6*f22n[t]*g22[t]* g22n[t] + 6489291729010640108130*Sqrt[3]*lu1^7*f22n[t]*g22[t]* g22n[t] + 177040473776180806960740*Sqrt[3]*lu1^8*f22n[t]*g22[t]* g22n[t] - 193366162854901284551160*Sqrt[3]*lu1^9*f22n[t]*g22[t]* g22n[t] - 13615067095344005368917840*Sqrt[3]*lu1^10*f22n[t]*g22[t]* g22n[t] - 48953764537015467250698720*Sqrt[3]*lu1^11*f22n[t]*g22[t]* g22n[t] + 34734197350909658007806400*Sqrt[3]*lu1^12*f22n[t]*g22[t]* g22n[t] + 250536658210761382897008000*Sqrt[3]*lu1^13*f22n[t]*g22[t]* g22n[t] + 245331076556026320219360000*Sqrt[3]*lu1^14*f22n[t]*g22[t]* g22n[t] + 63723182877042351062400000*Sqrt[3]*lu1^15*f22n[t]*g22[t]* g22n[t] - 4616602561350*f42n[t]*g22[t]*g22n[t] + 9268936413750*lu1*f42n[t]*g22[t]*g22n[t] + 20415593137720950*lu1^2* f42n[t]*g22[t]*g22n[t] + 35659122313130550*lu1^3*f42n[t]*g22[t]* g22n[t] - 26388204471285058350*lu1^4*f42n[t]*g22[t]*g22n[t] - 51022301869397985750*lu1^5*f42n[t]*g22[t]*g22n[t] + 11616694778179144256850*lu1^6*f42n[t]*g22[t]*g22n[t] + 25241169074172685996050*lu1^7*f42n[t]*g22[t]*g22n[t] - 1869846050080023614550900*lu1^8*f42n[t]*g22[t]*g22n[t] - 6764754875253209508796200*lu1^9*f42n[t]*g22[t]*g22n[t] + 91261748187131265707090400*lu1^10*f42n[t]*g22[t]*g22n[t] + 489777786421061425613539200*lu1^11*f42n[t]*g22[t]*g22n[t] + 515982344747809960496548800*lu1^12*f42n[t]*g22[t]*g22n[t] - 744132961401773935928976000*lu1^13*f42n[t]*g22[t]*g22n[t] - 1225711271160533670327360000*lu1^14*f42n[t]*g22[t]*g22n[t] - 236387679428675007979200000*lu1^15*f42n[t]*g22[t]*g22n[t] + 4436702344620*f42[t]*g22n[t]^2 - 313207152148800*lu1*f42[t]* g22n[t]^2 - 5917813850730600*lu1^2*f42[t]*g22n[t]^2 + 703758561752970360*lu1^3*f42[t]*g22n[t]^2 - 4675340274676715280* lu1^4*f42[t]*g22n[t]^2 - 304296152957498137800*lu1^5*f42[t]* g22n[t]^2 + 2196506077217887748040*lu1^6*f42[t]*g22n[t]^2 + 59561161156317700861800*lu1^7*f42[t]*g22n[t]^2 - 201119241832146191097180*lu1^8*f42[t]*g22n[t]^2 - 5474144221292967355950360*lu1^9*f42[t]*g22n[t]^2 - 8414561240890411650432480*lu1^10*f42[t]*g22n[t]^2 + 119782872125722239433970880*lu1^11*f42[t]*g22n[t]^2 + 559853070124896731278804800*lu1^12*f42[t]*g22n[t]^2 + 719098460903990927816784000*lu1^13*f42[t]*g22n[t]^2 - 65118228662105951754240000*lu1^14*f42[t]*g22n[t]^2 - 402819634230383564812800000*lu1^15*f42[t]*g22n[t]^2 - 222264050192460*f40[t]*f42[t]*g40[t] + 6565433865348780*lu1*f40[t]* f42[t]*g40[t] + 440076817765729440*lu1^2*f40[t]*f42[t]*g40[t] - 3934714436358285240*lu1^3*f40[t]*f42[t]*g40[t] - 427744823222297576880*lu1^4*f40[t]*f42[t]*g40[t] + 16976615557793231391840*lu1^5*f40[t]*f42[t]*g40[t] + 189495203193163585559880*lu1^6*f40[t]*f42[t]*g40[t] - 5920707334947935379159240*lu1^7*f40[t]*f42[t]*g40[t] - 42086260284474951916866180*lu1^8*f40[t]*f42[t]*g40[t] + 262362896543830623436316340*lu1^9*f40[t]*f42[t]*g40[t] + 1222765680411875237547674520*lu1^10*f40[t]*f42[t]*g40[t] - 49224111619348377934623360*lu1^11*f40[t]*f42[t]*g40[t] - 4598116329607101242327744640*lu1^12*f40[t]*f42[t]*g40[t] - 4863649551558899440485124800*lu1^13*f40[t]*f42[t]*g40[t] - 871814297146887331516944000*lu1^14*f40[t]*f42[t]*g40[t] + 258341991857478355780800000*lu1^15*f40[t]*f42[t]*g40[t] - 2738837093220*Sqrt[70]*f42[t]*f44[t]*g40[t] - 820096340441004* Sqrt[70]*lu1*f42[t]*f44[t]*g40[t] + 12048106164753024*Sqrt[70]* lu1^2*f42[t]*f44[t]*g40[t] + 2089559608754728824*Sqrt[70]*lu1^3* f42[t]*f44[t]*g40[t] - 1653594865226003088*Sqrt[70]*lu1^4*f42[t]* f44[t]*g40[t] + 798989232669367089312*Sqrt[70]*lu1^5*f42[t]*f44[t]* g40[t] - 302658484833196505640*Sqrt[70]*lu1^6*f42[t]*f44[t]* g40[t] - 252463931881911578635128*Sqrt[70]*lu1^7*f42[t]*f44[t]* g40[t] - 1248422463270082214776332*Sqrt[70]*lu1^8*f42[t]*f44[t]* g40[t] + 7817439515086076612091084*Sqrt[70]*lu1^9*f42[t]*f44[t]* g40[t] + 46900796007235186784292264*Sqrt[70]*lu1^10*f42[t]*f44[t]* g40[t] + 66990409577742256594678656*Sqrt[70]*lu1^11*f42[t]*f44[t]* g40[t] - 21914446395562528427574912*Sqrt[70]*lu1^12*f42[t]*f44[t]* g40[t] - 145263376838697302383007040*Sqrt[70]*lu1^13*f42[t]*f44[t]* g40[t] - 125216961512679125332387200*Sqrt[70]*lu1^14*f42[t]*f44[t]* g40[t] - 12185465021861000667840000*Sqrt[70]*lu1^15*f42[t]*f44[t]* g40[t] - 6734803438584*Sqrt[210]*f22n[t]*f44n[t]*g40[t] - 524528946705348*Sqrt[210]*lu1*f22n[t]*f44n[t]*g40[t] + 36235752932098512*Sqrt[210]*lu1^2*f22n[t]*f44n[t]*g40[t] + 1542540158190879120*Sqrt[210]*lu1^3*f22n[t]*f44n[t]*g40[t] - 35220799956298620456*Sqrt[210]*lu1^4*f22n[t]*f44n[t]*g40[t] - 729769603205214304200*Sqrt[210]*lu1^5*f22n[t]*f44n[t]*g40[t] + 1675938116944171585752*Sqrt[210]*lu1^6*f22n[t]*f44n[t]*g40[t] + 16137269159715394018224*Sqrt[210]*lu1^7*f22n[t]*f44n[t]*g40[t] + 239271516536408416812960*Sqrt[210]*lu1^8*f22n[t]*f44n[t]*g40[t] + 102376576238284747235148*Sqrt[210]*lu1^9*f22n[t]*f44n[t]*g40[t] - 5080721758846340277948264*Sqrt[210]*lu1^10*f22n[t]*f44n[t]*g40[t] - 13241962765622562228913344*Sqrt[210]*lu1^11*f22n[t]*f44n[t]*g40[t] + 33542863768509521197337280*Sqrt[210]*lu1^12*f22n[t]*f44n[t]*g40[t] + 123808277119789939130500800*Sqrt[210]*lu1^13*f22n[t]*f44n[t]* g40[t] + 95137685799623911425072000*Sqrt[210]*lu1^14*f22n[t]* f44n[t]*g40[t] + 6919155347824023595200000*Sqrt[210]*lu1^15*f22n[t]* f44n[t]*g40[t] - 2738837093220*Sqrt[70]*f42n[t]*f44n[t]*g40[t] - 820096340441004*Sqrt[70]*lu1*f42n[t]*f44n[t]*g40[t] + 12048106164753024*Sqrt[70]*lu1^2*f42n[t]*f44n[t]*g40[t] + 2089559608754728824*Sqrt[70]*lu1^3*f42n[t]*f44n[t]*g40[t] - 1653594865226003088*Sqrt[70]*lu1^4*f42n[t]*f44n[t]*g40[t] + 798989232669367089312*Sqrt[70]*lu1^5*f42n[t]*f44n[t]*g40[t] - 302658484833196505640*Sqrt[70]*lu1^6*f42n[t]*f44n[t]*g40[t] - 252463931881911578635128*Sqrt[70]*lu1^7*f42n[t]*f44n[t]*g40[t] - 1248422463270082214776332*Sqrt[70]*lu1^8*f42n[t]*f44n[t]*g40[t] + 7817439515086076612091084*Sqrt[70]*lu1^9*f42n[t]*f44n[t]*g40[t] + 46900796007235186784292264*Sqrt[70]*lu1^10*f42n[t]*f44n[t]*g40[t] + 66990409577742256594678656*Sqrt[70]*lu1^11*f42n[t]*f44n[t]*g40[t] - 21914446395562528427574912*Sqrt[70]*lu1^12*f42n[t]*f44n[t]*g40[t] - 145263376838697302383007040*Sqrt[70]*lu1^13*f42n[t]*f44n[t]*g40[t] - 125216961512679125332387200*Sqrt[70]*lu1^14*f42n[t]*f44n[t]*g40[t] - 12185465021861000667840000*Sqrt[70]*lu1^15*f42n[t]*f44n[t]*g40[t] + 2198173612635*Sqrt[5]*f42[t]*g20[t]*g40[t] - 28822823011125*Sqrt[5]* lu1*f42[t]*g20[t]*g40[t] - 8432391309472845*Sqrt[5]*lu1^2*f42[t]* g20[t]*g40[t] + 41006646331980615*Sqrt[5]*lu1^3*f42[t]*g20[t]* g40[t] + 9418900754934710325*Sqrt[5]*lu1^4*f42[t]*g20[t]*g40[t] - 4189055340589048215*Sqrt[5]*lu1^5*f42[t]*g20[t]*g40[t] - 3694540059672052972095*Sqrt[5]*lu1^6*f42[t]*g20[t]*g40[t] - 3187678900270649042115*Sqrt[5]*lu1^7*f42[t]*g20[t]*g40[t] + 518755997437287161589180*Sqrt[5]*lu1^8*f42[t]*g20[t]*g40[t] + 1134658596380021144289000*Sqrt[5]*lu1^9*f42[t]*g20[t]*g40[t] - 22055101668566887592992320*Sqrt[5]*lu1^10*f42[t]*g20[t]*g40[t] - 62338469646937624961689440*Sqrt[5]*lu1^11*f42[t]*g20[t]*g40[t] + 73244173435576375894833600*Sqrt[5]*lu1^12*f42[t]*g20[t]*g40[t] + 341766457190153754629270400*Sqrt[5]*lu1^13*f42[t]*g20[t]*g40[t] + 239386460832172390857120000*Sqrt[5]*lu1^14*f42[t]*g20[t]*g40[t] - 4344328167431972559840000*Sqrt[5]*lu1^15*f42[t]*g20[t]*g40[t] - 255780676125*Sqrt[3]*f40[t]*g22[t]*g40[t] - 3816722422305*Sqrt[3]* lu1*f40[t]*g22[t]*g40[t] + 1301791100055615*Sqrt[3]*lu1^2*f40[t]* g22[t]*g40[t] - 21884601432391425*Sqrt[3]*lu1^3*f40[t]*g22[t]* g40[t] - 1294623627678243135*Sqrt[3]*lu1^4*f40[t]*g22[t]*g40[t] + 76201447339168905585*Sqrt[3]*lu1^5*f40[t]*g22[t]*g40[t] + 533320137517099717005*Sqrt[3]*lu1^6*f40[t]*g22[t]*g40[t] - 12256056393730312854795*Sqrt[3]*lu1^7*f40[t]*g22[t]*g40[t] - 208269097261255308447000*Sqrt[3]*lu1^8*f40[t]*g22[t]*g40[t] - 566107024392616077898020*Sqrt[3]*lu1^9*f40[t]*g22[t]*g40[t] + 8216964326896663304814120*Sqrt[3]*lu1^10*f40[t]*g22[t]*g40[t] + 20539865919568636774704480*Sqrt[3]*lu1^11*f40[t]*g22[t]*g40[t] - 4290439109568603591912000*Sqrt[3]*lu1^12*f40[t]*g22[t]*g40[t] - 22699262273052926792712000*Sqrt[3]*lu1^13*f40[t]*g22[t]*g40[t] - 20304829722235889572560000*Sqrt[3]*lu1^14*f40[t]*g22[t]*g40[t] - 32391175772005511479200000*Sqrt[3]*lu1^15*f40[t]*g22[t]*g40[t] + 308996589915*Sqrt[210]*f44[t]*g22[t]*g40[t] + 32493776963895*Sqrt[210]*lu1*f44[t]*g22[t]*g40[t] - 2141326178915625*Sqrt[210]*lu1^2*f44[t]*g22[t]*g40[t] - 82711410662776545*Sqrt[210]*lu1^3*f44[t]*g22[t]*g40[t] + 2686890033296015625*Sqrt[210]*lu1^4*f44[t]*g22[t]*g40[t] + 25668158297615557425*Sqrt[210]*lu1^5*f44[t]*g22[t]*g40[t] - 690385563655727299035*Sqrt[210]*lu1^6*f44[t]*g22[t]*g40[t] - 3542219179325766980235*Sqrt[210]*lu1^7*f44[t]*g22[t]*g40[t] + 59644236743023816401960*Sqrt[210]*lu1^8*f44[t]*g22[t]*g40[t] + 222443682380922610697700*Sqrt[210]*lu1^9*f44[t]*g22[t]*g40[t] - 2081636670736560478337160*Sqrt[210]*lu1^10*f44[t]*g22[t]*g40[t] - 11957716178611044270655200*Sqrt[210]*lu1^11*f44[t]*g22[t]*g40[t] - 19873500972076601250448320*Sqrt[210]*lu1^12*f44[t]*g22[t]*g40[t] - 31293638469644811000000*Sqrt[210]*lu1^13*f44[t]*g22[t]*g40[t] + 27620768420560739341008000*Sqrt[210]*lu1^14*f44[t]*g22[t]*g40[t] + 19558235187101057297760000*Sqrt[210]*lu1^15*f44[t]*g22[t]*g40[t] + 308996589915*Sqrt[210]*f44n[t]*g22n[t]*g40[t] + 32493776963895*Sqrt[210]*lu1*f44n[t]*g22n[t]*g40[t] - 2141326178915625*Sqrt[210]*lu1^2*f44n[t]*g22n[t]*g40[t] - 82711410662776545*Sqrt[210]*lu1^3*f44n[t]*g22n[t]*g40[t] + 2686890033296015625*Sqrt[210]*lu1^4*f44n[t]*g22n[t]*g40[t] + 25668158297615557425*Sqrt[210]*lu1^5*f44n[t]*g22n[t]*g40[t] - 690385563655727299035*Sqrt[210]*lu1^6*f44n[t]*g22n[t]*g40[t] - 3542219179325766980235*Sqrt[210]*lu1^7*f44n[t]*g22n[t]*g40[t] + 59644236743023816401960*Sqrt[210]*lu1^8*f44n[t]*g22n[t]*g40[t] + 222443682380922610697700*Sqrt[210]*lu1^9*f44n[t]*g22n[t]*g40[t] - 2081636670736560478337160*Sqrt[210]*lu1^10*f44n[t]*g22n[t]*g40[t] - 11957716178611044270655200*Sqrt[210]*lu1^11*f44n[t]*g22n[t]*g40[t] - 19873500972076601250448320*Sqrt[210]*lu1^12*f44n[t]*g22n[t]*g40[t] - 31293638469644811000000*Sqrt[210]*lu1^13*f44n[t]*g22n[t]*g40[t] + 27620768420560739341008000*Sqrt[210]*lu1^14*f44n[t]*g22n[t]*g40[t] + 19558235187101057297760000*Sqrt[210]*lu1^15*f44n[t]*g22n[t]*g40[t] + 3906975083895*f42[t]*g40[t]^2 - 440832037415895*lu1*f42[t]* g40[t]^2 + 4739034753681705*lu1^2*f42[t]*g40[t]^2 + 481460700914053065*lu1^3*f42[t]*g40[t]^2 - 6517345869907181685*lu1^4* f42[t]*g40[t]^2 - 185589687361528611225*lu1^5*f42[t]*g40[t]^2 + 1645324218747979808715*lu1^6*f42[t]*g40[t]^2 + 33170812855907860982835*lu1^7*f42[t]*g40[t]^2 - 79851944267754735956670*lu1^8*f42[t]*g40[t]^2 - 2480698112018244325527420*lu1^9*f42[t]*g40[t]^2 - 4587457485138765326129880*lu1^10*f42[t]*g40[t]^2 + 56174513077297961636056560*lu1^11*f42[t]*g40[t]^2 + 208307249930568516689340000*lu1^12*f42[t]*g40[t]^2 + 148975124811761109070872000*lu1^13*f42[t]*g40[t]^2 - 157067125396251286532400000*lu1^14*f42[t]*g40[t]^2 - 148098520719150914404800000*lu1^15*f42[t]*g40[t]^2 + 14936428278720*f22n[t]^2*g42[t] + 553066311903300*lu1*f22n[t]^2* g42[t] - 79176468588471540*lu1^2*f22n[t]^2*g42[t] - 1283827493047018140*lu1^3*f22n[t]^2*g42[t] + 88875466620521206860* lu1^4*f22n[t]^2*g42[t] - 36715459692075520980*lu1^5*f22n[t]^2* g42[t] - 13470512496117798005820*lu1^6*f22n[t]^2*g42[t] + 152317710638564983556460*lu1^7*f22n[t]^2*g42[t] + 380383006462289999827620*lu1^8*f22n[t]^2*g42[t] - 8762236404879543274490880*lu1^9*f22n[t]^2*g42[t] - 8935763928406648340629440*lu1^10*f22n[t]^2*g42[t] + 138677319540736221372154560*lu1^11*f22n[t]^2*g42[t] + 324218788374919551622716480*lu1^12*f22n[t]^2*g42[t] + 142138086318936169342732800*lu1^13*f22n[t]^2*g42[t] - 144766971539197804270656000*lu1^14*f22n[t]^2*g42[t] - 96411176807516111923200000*lu1^15*f22n[t]^2*g42[t] + 71384225459670*f40[t]^2*g42[t] + 9103066798910490*lu1*f40[t]^2* g42[t] - 521939604928803930*lu1^2*f40[t]^2*g42[t] - 21892818669086557170*lu1^3*f40[t]^2*g42[t] + 377385638687037841410* lu1^4*f40[t]^2*g42[t] + 18620688259343605427370*lu1^5*f40[t]^2* g42[t] + 48250062768275345209290*lu1^6*f40[t]^2*g42[t] - 3289296504264929056992870*lu1^7*f40[t]^2*g42[t] - 26321460087376223051989440*lu1^8*f40[t]^2*g42[t] + 70158509499004561921597620*lu1^9*f40[t]^2*g42[t] + 882573891930680280915397560*lu1^10*f40[t]^2*g42[t] + 1852552066801436618775033120*lu1^11*f40[t]^2*g42[t] + 122624392850507551662809280*lu1^12*f40[t]^2*g42[t] - 2869565760381117586443902400*lu1^13*f40[t]^2*g42[t] - 2167866905144438827102032000*lu1^14*f40[t]^2*g42[t] - 285681163431873434702400000*lu1^15*f40[t]^2*g42[t] + 59705751542292*f42[t]^2*g42[t] + 64365097560055884*lu1*f42[t]^2* g42[t] - 1575656252341432308*lu1^2*f42[t]^2*g42[t] - 151599807912852583092*lu1^3*f42[t]^2*g42[t] + 965269959762113222436* lu1^4*f42[t]^2*g42[t] + 60118736145960308559732*lu1^5*f42[t]^2* g42[t] + 457588069910842838403684*lu1^6*f42[t]^2*g42[t] - 4221098955741556524706812*lu1^7*f42[t]^2*g42[t] - 59140363534965586225188744*lu1^8*f42[t]^2*g42[t] + 160402280397099000405381552*lu1^9*f42[t]^2*g42[t] + 1192590260159185026594240096*lu1^10*f42[t]^2*g42[t] + 246813208425418572492992832*lu1^11*f42[t]^2*g42[t] - 4926192023852547435534563712*lu1^12*f42[t]^2*g42[t] - 6398118155669260463723754240*lu1^13*f42[t]^2*g42[t] - 1756564547762792216738419200*lu1^14*f42[t]^2*g42[t] + 303880552692561526752000000*lu1^15*f42[t]^2*g42[t] + 18263339869320*Sqrt[3]*f22n[t]*f42n[t]*g42[t] + 9569081943720*Sqrt[3]*lu1*f22n[t]*f42n[t]*g42[t] - 98165584855966680*Sqrt[3]*lu1^2*f22n[t]*f42n[t]*g42[t] + 2092183775538625080*Sqrt[3]*lu1^3*f22n[t]*f42n[t]*g42[t] + 124549088382874061400*Sqrt[3]*lu1^4*f22n[t]*f42n[t]*g42[t] - 4974386930039429518200*Sqrt[3]*lu1^5*f22n[t]*f42n[t]*g42[t] - 61360484808930689726760*Sqrt[3]*lu1^6*f22n[t]*f42n[t]*g42[t] + 406851584058343648035240*Sqrt[3]*lu1^7*f22n[t]*f42n[t]*g42[t] + 6349996220263018546354560*Sqrt[3]*lu1^8*f22n[t]*f42n[t]*g42[t] - 23954702502646992183354000*Sqrt[3]*lu1^9*f22n[t]*f42n[t]*g42[t] - 104925806989927876295222880*Sqrt[3]*lu1^10*f22n[t]*f42n[t]*g42[t] + 152920475249174522749392000*Sqrt[3]*lu1^11*f22n[t]*f42n[t]*g42[t] + 470824903180968451140230400*Sqrt[3]*lu1^12*f22n[t]*f42n[t]*g42[t] - 435058248714359866379347200*Sqrt[3]*lu1^13*f22n[t]*f42n[t]*g42[t] - 1275928987662400067365824000*Sqrt[3]*lu1^14*f22n[t]*f42n[t]*g42[t] - 561109651607013824689920000*Sqrt[3]*lu1^15*f22n[t]*f42n[t]*g42[t] + 363507874066404*f42n[t]^2*g42[t] + 23685159978973908*lu1*f42n[t]^2* g42[t] - 1887850352296381716*lu1^2*f42n[t]^2*g42[t] - 63028758897365536404*lu1^3*f42n[t]^2*g42[t] + 1641538870506367711092* lu1^4*f42n[t]^2*g42[t] + 29164332815235913904964*lu1^5*f42n[t]^2* g42[t] - 127798721793212546622732*lu1^6*f42n[t]^2*g42[t] + 188984513324548361332836*lu1^7*f42n[t]^2*g42[t] + 1809977862462518594442072*lu1^8*f42n[t]^2*g42[t] - 129950969983023882362537256*lu1^9*f42n[t]^2*g42[t] + 66580759948456984847321712*lu1^10*f42n[t]^2*g42[t] + 2399319565783819959069223104*lu1^11*f42n[t]^2*g42[t] + 3864206594831884403571991296*lu1^12*f42n[t]^2*g42[t] - 1005454039110549844149502080*lu1^13*f42n[t]^2*g42[t] - 4105032552755773549919366400*lu1^14*f42n[t]^2*g42[t] - 1124658741081128693328000000*lu1^15*f42n[t]^2*g42[t] - 16652860569144*Sqrt[70]*f40[t]*f44[t]*g42[t] - 381935659824360*Sqrt[70]*lu1*f40[t]*f44[t]*g42[t] + 62348523059184768*Sqrt[70]*lu1^2*f40[t]*f44[t]*g42[t] + 1939946600978066736*Sqrt[70]*lu1^3*f40[t]*f44[t]*g42[t] - 61957401830729587296*Sqrt[70]*lu1^4*f40[t]*f44[t]*g42[t] - 919863884421589377888*Sqrt[70]*lu1^5*f40[t]*f44[t]*g42[t] + 1701386072444047488912*Sqrt[70]*lu1^6*f40[t]*f44[t]*g42[t] - 364393078441330251766320*Sqrt[70]*lu1^7*f40[t]*f44[t]*g42[t] - 2258772045423310899785448*Sqrt[70]*lu1^8*f40[t]*f44[t]*g42[t] + 15261480052801604141763528*Sqrt[70]*lu1^9*f40[t]*f44[t]*g42[t] + 90979360099361831145613680*Sqrt[70]*lu1^10*f40[t]*f44[t]*g42[t] + 71723836065255766964999424*Sqrt[70]*lu1^11*f40[t]*f44[t]*g42[t] - 202586934739118205132317952*Sqrt[70]*lu1^12*f40[t]*f44[t]*g42[t] - 264676050498775206874861440*Sqrt[70]*lu1^13*f40[t]*f44[t]*g42[t] - 14227170249327061610707200*Sqrt[70]*lu1^14*f40[t]*f44[t]*g42[t] + 2418344584047408401280000*Sqrt[70]*lu1^15*f40[t]*f44[t]*g42[t] + 294103690754076*f44[t]^2*g42[t] + 29754689401236996*lu1*f44[t]^2* g42[t] - 1629614844715661748*lu1^2*f44[t]^2*g42[t] - 80300548238729377860*lu1^3*f44[t]^2*g42[t] + 1226763902695170022596* lu1^4*f44[t]^2*g42[t] + 35464493189305617339924*lu1^5*f44[t]^2* g42[t] + 87251651510181771560052*lu1^6*f44[t]^2*g42[t] - 1213428493219712762258028*lu1^7*f44[t]^2*g42[t] - 22762085566767289214604720*lu1^8*f44[t]^2*g42[t] - 54986522883454123725375528*lu1^9*f44[t]^2*g42[t] + 597690652388865141063843984*lu1^10*f44[t]^2*g42[t] + 2464564966961746876130164800*lu1^11*f44[t]^2*g42[t] + 1964640402007215577523415936*lu1^12*f44[t]^2*g42[t] - 2248697797491779097053412480*lu1^13*f44[t]^2*g42[t] - 2895753638991901865513414400*lu1^14*f44[t]^2*g42[t] - 459118560246910523890560000*lu1^15*f44[t]^2*g42[t] + 294103690754076*f44n[t]^2*g42[t] + 29754689401236996*lu1*f44n[t]^2* g42[t] - 1629614844715661748*lu1^2*f44n[t]^2*g42[t] - 80300548238729377860*lu1^3*f44n[t]^2*g42[t] + 1226763902695170022596* lu1^4*f44n[t]^2*g42[t] + 35464493189305617339924*lu1^5*f44n[t]^2* g42[t] + 87251651510181771560052*lu1^6*f44n[t]^2*g42[t] - 1213428493219712762258028*lu1^7*f44n[t]^2*g42[t] - 22762085566767289214604720*lu1^8*f44n[t]^2*g42[t] - 54986522883454123725375528*lu1^9*f44n[t]^2*g42[t] + 597690652388865141063843984*lu1^10*f44n[t]^2*g42[t] + 2464564966961746876130164800*lu1^11*f44n[t]^2*g42[t] + 1964640402007215577523415936*lu1^12*f44n[t]^2*g42[t] - 2248697797491779097053412480*lu1^13*f44n[t]^2*g42[t] - 2895753638991901865513414400*lu1^14*f44n[t]^2*g42[t] - 459118560246910523890560000*lu1^15*f44n[t]^2*g42[t] + 179213623875*Sqrt[5]*f40[t]*g20[t]*g42[t] + 63410320500813*Sqrt[5]* lu1*f40[t]*g20[t]*g42[t] - 3397871848066839*Sqrt[5]*lu1^2*f40[t]* g20[t]*g42[t] - 162061904483473995*Sqrt[5]*lu1^3*f40[t]*g20[t]* g42[t] + 6455243625208829451*Sqrt[5]*lu1^4*f40[t]*g20[t]*g42[t] + 86169048817635099459*Sqrt[5]*lu1^5*f40[t]*g20[t]*g42[t] - 2509804322940130778133*Sqrt[5]*lu1^6*f40[t]*g20[t]*g42[t] - 20060303337076760127513*Sqrt[5]*lu1^7*f40[t]*g20[t]*g42[t] + 290029384313208067220550*Sqrt[5]*lu1^8*f40[t]*g20[t]*g42[t] + 2153021503218650434650852*Sqrt[5]*lu1^9*f40[t]*g20[t]*g42[t] - 5253537718487104599905352*Sqrt[5]*lu1^10*f40[t]*g20[t]*g42[t] - 44283216069488749419834768*Sqrt[5]*lu1^11*f40[t]*g20[t]*g42[t] - 66043664600863906815487200*Sqrt[5]*lu1^12*f40[t]*g20[t]*g42[t] + 17989294886571260956017600*Sqrt[5]*lu1^13*f40[t]*g20[t]*g42[t] + 118321350087416123439792000*Sqrt[5]*lu1^14*f40[t]*g20[t]*g42[t] + 72600859636890214069440000*Sqrt[5]*lu1^15*f40[t]*g20[t]*g42[t] + 695795132565*Sqrt[14]*f44[t]*g20[t]*g42[t] + 49077225771795*Sqrt[14]* lu1*f44[t]*g20[t]*g42[t] - 4128432874797465*Sqrt[14]*lu1^2*f44[t]* g20[t]*g42[t] - 125956045503651285*Sqrt[14]*lu1^3*f44[t]*g20[t]* g42[t] + 5029598728270891125*Sqrt[14]*lu1^4*f44[t]*g20[t]*g42[t] + 33976149926528995965*Sqrt[14]*lu1^5*f44[t]*g20[t]*g42[t] - 1604083571485104492315*Sqrt[14]*lu1^6*f44[t]*g20[t]*g42[t] - 6840240081874725548295*Sqrt[14]*lu1^7*f44[t]*g20[t]*g42[t] + 214643878577601824717730*Sqrt[14]*lu1^8*f44[t]*g20[t]*g42[t] + 1061195803961774030163900*Sqrt[14]*lu1^9*f44[t]*g20[t]*g42[t] - 7056372100150232155721880*Sqrt[14]*lu1^10*f44[t]*g20[t]*g42[t] - 30989227015602220831979760*Sqrt[14]*lu1^11*f44[t]*g20[t]*g42[t] - 4544122721303763186994080*Sqrt[14]*lu1^12*f44[t]*g20[t]*g42[t] + 95568380519202597435624000*Sqrt[14]*lu1^13*f44[t]*g20[t]*g42[t] + 102022518747627377447184000*Sqrt[14]*lu1^14*f44[t]*g20[t]*g42[t] + 15905944724810969424960000*Sqrt[14]*lu1^15*f44[t]*g20[t]*g42[t] - 1846110438900*Sqrt[3]*f42[t]*g22[t]*g42[t] - 151784083042020*Sqrt[3]* lu1*f42[t]*g22[t]*g42[t] + 12350295816297660*Sqrt[3]*lu1^2*f42[t]* g22[t]*g42[t] + 403534033033938300*Sqrt[3]*lu1^3*f42[t]*g22[t]* g42[t] - 16805280688914878940*Sqrt[3]*lu1^4*f42[t]*g22[t]*g42[t] - 168088281602546289660*Sqrt[3]*lu1^5*f42[t]*g22[t]*g42[t] + 5379388931326957964820*Sqrt[3]*lu1^6*f42[t]*g22[t]*g42[t] + 31612716095410758390420*Sqrt[3]*lu1^7*f42[t]*g22[t]*g42[t] - 568209570686942089152000*Sqrt[3]*lu1^8*f42[t]*g22[t]*g42[t] - 2863659394722865955888880*Sqrt[3]*lu1^9*f42[t]*g22[t]*g42[t] + 16883439658185658550254080*Sqrt[3]*lu1^10*f42[t]*g22[t]*g42[t] + 92111627110170603751158720*Sqrt[3]*lu1^11*f42[t]*g22[t]*g42[t] + 87696339835865869276646400*Sqrt[3]*lu1^12*f42[t]*g22[t]*g42[t] - 143393003943240096837792000*Sqrt[3]*lu1^13*f42[t]*g22[t]*g42[t] - 270680880812477360883840000*Sqrt[3]*lu1^14*f42[t]*g22[t]*g42[t] - 106494093432584387712000000*Sqrt[3]*lu1^15*f42[t]*g22[t]*g42[t] - 1108481474880*f22n[t]*g22n[t]*g42[t] - 90783283558500*lu1*f22n[t]* g22n[t]*g42[t] + 8486160899671260*lu1^2*f22n[t]*g22n[t]*g42[t] + 193833565843762260*lu1^3*f22n[t]*g22n[t]*g42[t] - 12281324409812355300*lu1^4*f22n[t]*g22n[t]*g42[t] - 10364194789272753780*lu1^5*f22n[t]*g22n[t]*g42[t] + 3483243523197462310260*lu1^6*f22n[t]*g22n[t]*g42[t] - 5020642486001180459460*lu1^7*f22n[t]*g22n[t]*g42[t] - 347900223287039978787180*lu1^8*f22n[t]*g22n[t]*g42[t] + 477838551834780089795400*lu1^9*f22n[t]*g22n[t]*g42[t] + 12839004001821539332277760*lu1^10*f22n[t]*g22n[t]*g42[t] - 7567754079690852051089280*lu1^11*f22n[t]*g22n[t]*g42[t] - 205226590918164651821818560*lu1^12*f22n[t]*g22n[t]*g42[t] - 462852452203862653993008000*lu1^13*f22n[t]*g22n[t]*g42[t] - 369957441934515768225984000*lu1^14*f22n[t]*g22n[t]*g42[t] - 88595100248264027308800000*lu1^15*f22n[t]*g22n[t]*g42[t] - 2382878905290*Sqrt[3]*f42n[t]*g22n[t]*g42[t] - 110004566264190*Sqrt[3]*lu1*f42n[t]*g22n[t]*g42[t] + 11569568841283050*Sqrt[3]*lu1^2*f42n[t]*g22n[t]*g42[t] + 286670601290400210*Sqrt[3]*lu1^3*f42n[t]*g22n[t]*g42[t] - 11640195052886263890*Sqrt[3]*lu1^4*f42n[t]*g22n[t]*g42[t] - 39070554985390435650*Sqrt[3]*lu1^5*f42n[t]*g22n[t]*g42[t] + 3153516174568981536510*Sqrt[3]*lu1^6*f42n[t]*g22n[t]*g42[t] + 3918540104953809878790*Sqrt[3]*lu1^7*f42n[t]*g22n[t]*g42[t] - 441334287894497731141980*Sqrt[3]*lu1^8*f42n[t]*g22n[t]*g42[t] - 1296658365206206705330680*Sqrt[3]*lu1^9*f42n[t]*g22n[t]*g42[t] + 19411085075234083034490960*Sqrt[3]*lu1^10*f42n[t]*g22n[t]*g42[t] + 63224003322121895061600480*Sqrt[3]*lu1^11*f42n[t]*g22n[t]*g42[t] - 46619450734760146373632320*Sqrt[3]*lu1^12*f42n[t]*g22n[t]*g42[t] - 308030805645137290107600000*Sqrt[3]*lu1^13*f42n[t]*g22n[t]*g42[t] - 234337965399033599716704000*Sqrt[3]*lu1^14*f42n[t]*g22n[t]*g42[t] + 15084221619799514931840000*Sqrt[3]*lu1^15*f42n[t]*g22n[t]*g42[t] + 3281022354015*f40[t]*g40[t]*g42[t] - 374495699840535*lu1*f40[t]* g40[t]*g42[t] + 11081084146129305*lu1^2*f40[t]*g40[t]*g42[t] - 62932916654371575*lu1^3*f40[t]*g40[t]*g42[t] - 9726607570365629685* lu1^4*f40[t]*g40[t]*g42[t] + 78258462918427080135*lu1^5*f40[t]* g40[t]*g42[t] + 4089550434714070180155*lu1^6*f40[t]*g40[t]*g42[t] - 12302910349053097744845*lu1^7*f40[t]*g40[t]*g42[t] - 675004252195298010450150*lu1^8*f40[t]*g40[t]*g42[t] - 453613880253457374339420*lu1^9*f40[t]*g40[t]*g42[t] + 30748862272185584265319560*lu1^10*f40[t]*g40[t]*g42[t] + 34074429290078543836268400*lu1^11*f40[t]*g40[t]*g42[t] - 278523001221487649412176160*lu1^12*f40[t]*g40[t]*g42[t] - 658856297852989871269723200*lu1^13*f40[t]*g40[t]*g42[t] - 419070836458828181635056000*lu1^14*f40[t]*g40[t]*g42[t] - 44353330247376304862400000*lu1^15*f40[t]*g40[t]*g42[t] + 288375731415*Sqrt[70]*f44[t]*g40[t]*g42[t] + 690572865249*Sqrt[70]* lu1*f44[t]*g40[t]*g42[t] - 520773728159439*Sqrt[70]*lu1^2*f44[t]* g40[t]*g42[t] - 47289808315717119*Sqrt[70]*lu1^3*f44[t]*g40[t]* g42[t] + 860867585619811443*Sqrt[70]*lu1^4*f44[t]*g40[t]*g42[t] + 12703698238770041103*Sqrt[70]*lu1^5*f44[t]*g40[t]*g42[t] - 127305366835028760765*Sqrt[70]*lu1^6*f44[t]*g40[t]*g42[t] - 1282278256986325287717*Sqrt[70]*lu1^7*f44[t]*g40[t]*g42[t] + 346990671854579449242*Sqrt[70]*lu1^8*f44[t]*g40[t]*g42[t] + 15564816931169962398276*Sqrt[70]*lu1^9*f44[t]*g40[t]*g42[t] + 100080437976306527321736*Sqrt[70]*lu1^10*f44[t]*g40[t]*g42[t] + 217132272913146643640304*Sqrt[70]*lu1^11*f44[t]*g40[t]*g42[t] + 2955954553725091204177632*Sqrt[70]*lu1^12*f44[t]*g40[t]*g42[t] + 10511174913063987333435840*Sqrt[70]*lu1^13*f44[t]*g40[t]*g42[t] + 7544906568042132205123200*Sqrt[70]*lu1^14*f44[t]*g40[t]*g42[t] - 4278499128537540500160000*Sqrt[70]*lu1^15*f44[t]*g40[t]*g42[t] + 1702281236940*f42[t]*g42[t]^2 - 1561374625875804*lu1*f42[t]* g42[t]^2 + 54965825628154884*lu1^2*f42[t]*g42[t]^2 + 2542077023111780004*lu1^3*f42[t]*g42[t]^2 - 68540149341311394708* lu1^4*f42[t]*g42[t]^2 - 849093515322245765028*lu1^5*f42[t]* g42[t]^2 + 17515439206432920319500*lu1^6*f42[t]*g42[t]^2 + 122703621134294829520332*lu1^7*f42[t]*g42[t]^2 - 1322067876783035315292072*lu1^8*f42[t]*g42[t]^2 - 6313130163192341613009456*lu1^9*f42[t]*g42[t]^2 + 31803353116930697852811744*lu1^10*f42[t]*g42[t]^2 + 128646516473298560277049536*lu1^11*f42[t]*g42[t]^2 - 106634824605342978864527232*lu1^12*f42[t]*g42[t]^2 - 822920055762732904790979840*lu1^13*f42[t]*g42[t]^2 - 973244641810926301014643200*lu1^14*f42[t]*g42[t]^2 - 335434036061525849360640000*lu1^15*f42[t]*g42[t]^2 - 4420*(-9 + 105*lu1 + 20612*lu1^2 + 13692*lu1^3)*f22[t]^2* ((11268404937 - 700041233790*lu1 + 8148107630613*lu1^2 + 247469876090790*lu1^3 - 5920942585299557*lu1^4 + 18129122332232214*lu1^5 + 61930275728695855*lu1^6 - 802986951622894334*lu1^7 + 6000369152913416200*lu1^8 - 9665994370597414304*lu1^9 - 74308078556535710640*lu1^10 - 36665884955823879200*lu1^11 + 38148641713645680000*lu1^12)* f42[t] + 1430*Sqrt[3]*(36855 - 8475813*lu1 + 160657587*lu1^2 + 6669586383*lu1^3 - 115886943635*lu1^4 - 1082290780575*lu1^5 + 13966183444129*lu1^6 + 72018775140229*lu1^7 - 333084437149304* lu1^8 - 1240357309880000*lu1^9 + 3682130804491200*lu1^10 + 10321837341190000*lu1^11 + 5547195219720000*lu1^12)*g22[t] - 3*(-311461848 - 31023204885*lu1 + 880873195302*lu1^2 + 19169027504827*lu1^3 - 182420975908338*lu1^4 + 64490194637329*lu1^5 + 863587032668890*lu1^6 + 5089031471430409* lu1^7 - 127991728722819926*lu1^8 + 57616878266403984*lu1^9 + 2841199946568922240*lu1^10 + 6715495867133017200*lu1^11 + 4442655222171180000*lu1^12)*g42[t]) + 1105*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]^2* (2145*Sqrt[3]*(976293 - 83881062*lu1 + 878227839*lu1^2 + 57909811812*lu1^3 - 924487206737*lu1^4 - 6214858033574*lu1^5 + 107757495234481*lu1^6 + 181148021822648*lu1^7 - 2310070791837076*lu1^8 - 1428252123465904*lu1^9 + 27014578479138160*lu1^10 + 66346845583648000*lu1^11 + 56674765323304000*lu1^12 + 16268547519840000*lu1^13)*f22[t] - 2*(9*(1336349907 - 83310441696*lu1 + 1426270201107*lu1^2 - 1737262664420*lu1^3 - 143787729463131*lu1^4 + 1452857474896992* lu1^5 - 40087424090104711*lu1^6 + 176761111878341332*lu1^7 + 4452673345619548364*lu1^8 + 824539198455646160*lu1^9 - 41810285694784959248*lu1^10 - 66167864234095547200*lu1^11 - 22809021746656318400*lu1^12 + 2885384917246944000*lu1^13)* f42[t] + 572*Sqrt[3]*(204849 - 21956589*lu1 + 208536552*lu1^2 + 21424527027*lu1^3 - 259268511594*lu1^4 - 6328145234507*lu1^5 + 48645326654712*lu1^6 + 679236707270329*lu1^7 - 501120823573871* lu1^8 - 4116489625884548*lu1^9 + 510431552200120*lu1^10 + 35026293380010000*lu1^11 + 58822569370618000*lu1^12 + 24876872854680000*lu1^13)*g22[t] - 3*(-248350860 - 35410481883* lu1 + 1159743958596*lu1^2 + 6472696019337*lu1^3 - 247388140866036*lu1^4 + 603799133640427*lu1^5 + 13628261134716084*lu1^6 - 45497885866444733*lu1^7 - 385969299387491576*lu1^8 + 201798063208733908*lu1^9 + 5313072670622179264*lu1^10 + 11347469458726526160*lu1^11 + 8782304037385763200*lu1^12 + 2255567423566296000*lu1^13)* g42[t])) + 14461243727580*Sqrt[3]*f22n[t]*f42[t]*g42n[t] + 1131251029183080*Sqrt[3]*lu1*f22n[t]*f42[t]*g42n[t] - 48415796751329280*Sqrt[3]*lu1^2*f22n[t]*f42[t]*g42n[t] - 4907859071992306560*Sqrt[3]*lu1^3*f22n[t]*f42[t]*g42n[t] + 7780045340048393880*Sqrt[3]*lu1^4*f22n[t]*f42[t]*g42n[t] + 4702120042685793951600*Sqrt[3]*lu1^5*f22n[t]*f42[t]*g42n[t] + 32134434338328433325760*Sqrt[3]*lu1^6*f22n[t]*f42[t]*g42n[t] - 420374932065972706804800*Sqrt[3]*lu1^7*f22n[t]*f42[t]*g42n[t] - 4594527226582843736939220*Sqrt[3]*lu1^8*f22n[t]*f42[t]*g42n[t] + 22020428260550818916673960*Sqrt[3]*lu1^9*f22n[t]*f42[t]*g42n[t] + 96998568146308908534854880*Sqrt[3]*lu1^10*f22n[t]*f42[t]*g42n[t] - 83938323189403392178497600*Sqrt[3]*lu1^11*f22n[t]*f42[t]*g42n[t] - 937829953438573350451682880*Sqrt[3]*lu1^12*f22n[t]*f42[t]*g42n[t] - 1633690330289964599914185600*Sqrt[3]*lu1^13*f22n[t]*f42[t]*g42n[t] - 582144830283230236259328000*Sqrt[3]*lu1^14*f22n[t]*f42[t]*g42n[t] + 436681954626554465337600000*Sqrt[3]*lu1^15*f22n[t]*f42[t]*g42n[t] - 303802122524112*f42[t]*f42n[t]*g42n[t] + 40679937581081976*lu1* f42[t]*f42n[t]*g42n[t] + 312194099954949408*lu1^2*f42[t]*f42n[t]* g42n[t] - 88571049015487046688*lu1^3*f42[t]*f42n[t]*g42n[t] - 676268910744254488656*lu1^4*f42[t]*f42n[t]*g42n[t] + 30954403330724394654768*lu1^5*f42[t]*f42n[t]*g42n[t] + 585386791704055385026416*lu1^6*f42[t]*f42n[t]*g42n[t] - 4410083469066104886039648*lu1^7*f42[t]*f42n[t]*g42n[t] - 60950341397428104819630816*lu1^8*f42[t]*f42n[t]*g42n[t] + 290353250380122882767918808*lu1^9*f42[t]*f42n[t]*g42n[t] + 1126009500210728041746918384*lu1^10*f42[t]*f42n[t]*g42n[t] - 2152506357358401386576230272*lu1^11*f42[t]*f42n[t]*g42n[t] - 8790398618684431839106555008*lu1^12*f42[t]*f42n[t]*g42n[t] - 5392664116558710619574252160*lu1^13*f42[t]*f42n[t]*g42n[t] + 2348468004992981333180947200*lu1^14*f42[t]*f42n[t]*g42n[t] + 1428539293773690220080000000*lu1^15*f42[t]*f42n[t]*g42n[t] - 16652860569144*Sqrt[70]*f40[t]*f44n[t]*g42n[t] - 381935659824360*Sqrt[70]*lu1*f40[t]*f44n[t]*g42n[t] + 62348523059184768*Sqrt[70]*lu1^2*f40[t]*f44n[t]*g42n[t] + 1939946600978066736*Sqrt[70]*lu1^3*f40[t]*f44n[t]*g42n[t] - 61957401830729587296*Sqrt[70]*lu1^4*f40[t]*f44n[t]*g42n[t] - 919863884421589377888*Sqrt[70]*lu1^5*f40[t]*f44n[t]*g42n[t] + 1701386072444047488912*Sqrt[70]*lu1^6*f40[t]*f44n[t]*g42n[t] - 364393078441330251766320*Sqrt[70]*lu1^7*f40[t]*f44n[t]*g42n[t] - 2258772045423310899785448*Sqrt[70]*lu1^8*f40[t]*f44n[t]*g42n[t] + 15261480052801604141763528*Sqrt[70]*lu1^9*f40[t]*f44n[t]*g42n[t] + 90979360099361831145613680*Sqrt[70]*lu1^10*f40[t]*f44n[t]*g42n[t] + 71723836065255766964999424*Sqrt[70]*lu1^11*f40[t]*f44n[t]*g42n[t] - 202586934739118205132317952*Sqrt[70]*lu1^12*f40[t]*f44n[t]*g42n[t] - 264676050498775206874861440*Sqrt[70]*lu1^13*f40[t]*f44n[t]*g42n[t] - 14227170249327061610707200*Sqrt[70]*lu1^14*f40[t]*f44n[t]*g42n[t] + 2418344584047408401280000*Sqrt[70]*lu1^15*f40[t]*f44n[t]*g42n[t] + 695795132565*Sqrt[14]*f44n[t]*g20[t]*g42n[t] + 49077225771795*Sqrt[14]*lu1*f44n[t]*g20[t]*g42n[t] - 4128432874797465*Sqrt[14]*lu1^2*f44n[t]*g20[t]*g42n[t] - 125956045503651285*Sqrt[14]*lu1^3*f44n[t]*g20[t]*g42n[t] + 5029598728270891125*Sqrt[14]*lu1^4*f44n[t]*g20[t]*g42n[t] + 33976149926528995965*Sqrt[14]*lu1^5*f44n[t]*g20[t]*g42n[t] - 1604083571485104492315*Sqrt[14]*lu1^6*f44n[t]*g20[t]*g42n[t] - 6840240081874725548295*Sqrt[14]*lu1^7*f44n[t]*g20[t]*g42n[t] + 214643878577601824717730*Sqrt[14]*lu1^8*f44n[t]*g20[t]*g42n[t] + 1061195803961774030163900*Sqrt[14]*lu1^9*f44n[t]*g20[t]*g42n[t] - 7056372100150232155721880*Sqrt[14]*lu1^10*f44n[t]*g20[t]*g42n[t] - 30989227015602220831979760*Sqrt[14]*lu1^11*f44n[t]*g20[t]*g42n[t] - 4544122721303763186994080*Sqrt[14]*lu1^12*f44n[t]*g20[t]*g42n[t] + 95568380519202597435624000*Sqrt[14]*lu1^13*f44n[t]*g20[t]*g42n[t] + 102022518747627377447184000*Sqrt[14]*lu1^14*f44n[t]*g20[t]*g42n[t] + 15905944724810969424960000*Sqrt[14]*lu1^15*f44n[t]*g20[t]*g42n[t] - 2543576003280*f22n[t]*g22[t]*g42n[t] + 41642849624220*lu1*f22n[t]* g22[t]*g42n[t] + 8846463679585740*lu1^2*f22n[t]*g22[t]*g42n[t] - 1370921170130460*lu1^3*f22n[t]*g22[t]*g42n[t] - 9962875747475915940*lu1^4*f22n[t]*g22[t]*g42n[t] - 126636242602724889060*lu1^5*f22n[t]*g22[t]*g42n[t] + 4899732284501254504980*lu1^6*f22n[t]*g22[t]*g42n[t] + 23842801479689317458060*lu1^7*f22n[t]*g22[t]*g42n[t] - 576707085044558313229020*lu1^8*f22n[t]*g22[t]*g42n[t] - 1424881903022740162046280*lu1^9*f22n[t]*g22[t]*g42n[t] + 21623297749133395042618800*lu1^10*f22n[t]*g22[t]*g42n[t] + 54658281780470421402878880*lu1^11*f22n[t]*g22[t]*g42n[t] - 226555093185252527693375040*lu1^12*f22n[t]*g22[t]*g42n[t] - 951020886386675357313840000*lu1^13*f22n[t]*g22[t]*g42n[t] - 1117093242800301377790816000*lu1^14*f22n[t]*g22[t]*g42n[t] - 411242476529769976728000000*lu1^15*f22n[t]*g22[t]*g42n[t] - 1616537095290*Sqrt[3]*f42n[t]*g22[t]*g42n[t] + 244381968952290*Sqrt[3]*lu1*f42n[t]*g22[t]*g42n[t] + 1203398758632330*Sqrt[3]*lu1^2*f42n[t]*g22[t]*g42n[t] - 507160535368971510*Sqrt[3]*lu1^3*f42n[t]*g22[t]*g42n[t] - 2070708402746076210*Sqrt[3]*lu1^4*f42n[t]*g22[t]*g42n[t] - 11728154166904911450*Sqrt[3]*lu1^5*f42n[t]*g22[t]*g42n[t] + 3299175268837408888590*Sqrt[3]*lu1^6*f42n[t]*g22[t]*g42n[t] + 17951796209757231349710*Sqrt[3]*lu1^7*f42n[t]*g22[t]*g42n[t] - 421801524534029173754220*Sqrt[3]*lu1^8*f42n[t]*g22[t]*g42n[t] - 1120709558703197304241920*Sqrt[3]*lu1^9*f42n[t]*g22[t]*g42n[t] + 16670406008016623472442560*Sqrt[3]*lu1^10*f42n[t]*g22[t]*g42n[t] + 33360845804785694047775520*Sqrt[3]*lu1^11*f42n[t]*g22[t]*g42n[t] - 197365108248742449916804800*Sqrt[3]*lu1^12*f42n[t]*g22[t]*g42n[t] - 569822770941609358776595200*Sqrt[3]*lu1^13*f42n[t]*g22[t]*g42n[t] - 296859414925191668344704000*Sqrt[3]*lu1^14*f42n[t]*g22[t]*g42n[t] + 121169033780599862628480000*Sqrt[3]*lu1^15*f42n[t]*g22[t]*g42n[t] + 2153305561680*Sqrt[3]*f42[t]*g22n[t]*g42n[t] - 286161485730120*Sqrt[3]*lu1*f42[t]*g22n[t]*g42n[t] - 422671783617720*Sqrt[3]*lu1^2*f42[t]*g22n[t]*g42n[t] + 624023967112509600*Sqrt[3]*lu1^3*f42[t]*g22n[t]*g42n[t] - 3094377233282538840*Sqrt[3]*lu1^4*f42[t]*g22n[t]*g42n[t] - 117289572450250942560*Sqrt[3]*lu1^5*f42[t]*g22n[t]*g42n[t] - 1073302512079432460280*Sqrt[3]*lu1^6*f42[t]*g22n[t]*g42n[t] + 9742379780699717161920*Sqrt[3]*lu1^7*f42[t]*g22n[t]*g42n[t] + 294926241741584815744200*Sqrt[3]*lu1^8*f42[t]*g22n[t]*g42n[t] - 446291470813461946316280*Sqrt[3]*lu1^9*f42[t]*g22n[t]*g42n[t] - 19198051425065047956679440*Sqrt[3]*lu1^10*f42[t]*g22n[t]*g42n[t] - 4473222016736985358217280*Sqrt[3]*lu1^11*f42[t]*g22n[t]*g42n[t] + 331680898819368465567083520*Sqrt[3]*lu1^12*f42[t]*g22n[t]*g42n[t] + 734460572643506552046403200*Sqrt[3]*lu1^13*f42[t]*g22n[t]*g42n[t] + 260516499511747907177568000*Sqrt[3]*lu1^14*f42[t]*g22n[t]*g42n[t] - 242747348832983765272320000*Sqrt[3]*lu1^15*f42[t]*g22n[t]*g42n[t] + 288375731415*Sqrt[70]*f44n[t]*g40[t]*g42n[t] + 690572865249*Sqrt[70]* lu1*f44n[t]*g40[t]*g42n[t] - 520773728159439*Sqrt[70]*lu1^2*f44n[t]* g40[t]*g42n[t] - 47289808315717119*Sqrt[70]*lu1^3*f44n[t]*g40[t]* g42n[t] + 860867585619811443*Sqrt[70]*lu1^4*f44n[t]*g40[t]* g42n[t] + 12703698238770041103*Sqrt[70]*lu1^5*f44n[t]*g40[t]* g42n[t] - 127305366835028760765*Sqrt[70]*lu1^6*f44n[t]*g40[t]* g42n[t] - 1282278256986325287717*Sqrt[70]*lu1^7*f44n[t]*g40[t]* g42n[t] + 346990671854579449242*Sqrt[70]*lu1^8*f44n[t]*g40[t]* g42n[t] + 15564816931169962398276*Sqrt[70]*lu1^9*f44n[t]*g40[t]* g42n[t] + 100080437976306527321736*Sqrt[70]*lu1^10*f44n[t]*g40[t]* g42n[t] + 217132272913146643640304*Sqrt[70]*lu1^11*f44n[t]*g40[t]* g42n[t] + 2955954553725091204177632*Sqrt[70]*lu1^12*f44n[t]*g40[t]* g42n[t] + 10511174913063987333435840*Sqrt[70]*lu1^13*f44n[t]*g40[t]* g42n[t] + 7544906568042132205123200*Sqrt[70]*lu1^14*f44n[t]*g40[t]* g42n[t] - 4278499128537540500160000*Sqrt[70]*lu1^15*f44n[t]*g40[t]* g42n[t] - 819659759490*Sqrt[3]*f22n[t]*g42[t]*g42n[t] + 21123058452210*Sqrt[3]*lu1*f22n[t]*g42[t]*g42n[t] + 2654120637343890*Sqrt[3]*lu1^2*f22n[t]*g42[t]*g42n[t] - 32246251441863030*Sqrt[3]*lu1^3*f22n[t]*g42[t]*g42n[t] - 2610435900704950890*Sqrt[3]*lu1^4*f22n[t]*g42[t]*g42n[t] - 4742868893500953930*Sqrt[3]*lu1^5*f22n[t]*g42[t]*g42n[t] + 1117383556768324984710*Sqrt[3]*lu1^6*f22n[t]*g42[t]*g42n[t] + 1079424178473773482350*Sqrt[3]*lu1^7*f22n[t]*g42[t]*g42n[t] - 135643656314121357462060*Sqrt[3]*lu1^8*f22n[t]*g42[t]*g42n[t] - 75579873554144650342080*Sqrt[3]*lu1^9*f22n[t]*g42[t]*g42n[t] + 5346338612065845443649600*Sqrt[3]*lu1^10*f22n[t]*g42[t]*g42n[t] + 6155222785073801648146080*Sqrt[3]*lu1^11*f22n[t]*g42[t]*g42n[t] - 59438926790765150454471360*Sqrt[3]*lu1^12*f22n[t]*g42[t]*g42n[t] - 169987452851920893509548800*Sqrt[3]*lu1^13*f22n[t]*g42[t]*g42n[t] - 150210554435643898804608000*Sqrt[3]*lu1^14*f22n[t]*g42[t]*g42n[t] - 35613285098879711583360000*Sqrt[3]*lu1^15*f22n[t]*g42[t]*g42n[t] - 4514951821950*f42n[t]*g42[t]*g42n[t] - 570420741491802*lu1*f42n[t]* g42[t]*g42n[t] + 39057606064857942*lu1^2*f42n[t]*g42[t]*g42n[t] + 1154030473972441062*lu1^3*f42n[t]*g42[t]*g42n[t] - 48686316401940561774*lu1^4*f42n[t]*g42[t]*g42n[t] - 349637031860173547814*lu1^5*f42n[t]*g42[t]*g42n[t] + 14874371916318650508930*lu1^6*f42n[t]*g42[t]*g42n[t] + 45183501525648356301186*lu1^7*f42n[t]*g42[t]*g42n[t] - 1675275580658406179505276*lu1^8*f42n[t]*g42[t]*g42n[t] - 2953680032933051238876168*lu1^9*f42n[t]*g42[t]*g42n[t] + 70066552334288399193244752*lu1^10*f42n[t]*g42[t]*g42n[t] + 91613366917118740278800928*lu1^11*f42n[t]*g42[t]*g42n[t] - 753944325804002855265005376*lu1^12*f42n[t]*g42[t]*g42n[t] - 2053480174336237935682823040*lu1^13*f42n[t]*g42[t]*g42n[t] - 1594131079422725162889696000*lu1^14*f42n[t]*g42[t]*g42n[t] - 258677393101615414346112000*lu1^15*f42n[t]*g42[t]*g42n[t] + 6217233058890*f42[t]*g42n[t]^2 - 990953884384002*lu1*f42[t]* g42n[t]^2 + 15908219563296942*lu1^2*f42[t]*g42n[t]^2 + 1388046549139338942*lu1^3*f42[t]*g42n[t]^2 - 19853832939370832934* lu1^4*f42[t]*g42n[t]^2 - 499456483462072217214*lu1^5*f42[t]* g42n[t]^2 + 2641067290114269810570*lu1^6*f42[t]*g42n[t]^2 + 77520119608646473219146*lu1^7*f42[t]*g42n[t]^2 + 353207703875370864213204*lu1^8*f42[t]*g42n[t]^2 - 3359450130259290374133288*lu1^9*f42[t]*g42n[t]^2 - 38263199217357701340433008*lu1^10*f42[t]*g42n[t]^2 + 37033149556179819998248608*lu1^11*f42[t]*g42n[t]^2 + 647309501198659876400478144*lu1^12*f42[t]*g42n[t]^2 + 1230560118573505030891843200*lu1^13*f42[t]*g42n[t]^2 + 620886437611798861875052800*lu1^14*f42[t]*g42n[t]^2 - 76756642959910435014528000*lu1^15*f42[t]*g42n[t]^2 - 2738837093220*Sqrt[70]*f40[t]*f42[t]*g44[t] - 820096340441004* Sqrt[70]*lu1*f40[t]*f42[t]*g44[t] + 12048106164753024*Sqrt[70]* lu1^2*f40[t]*f42[t]*g44[t] + 2089559608754728824*Sqrt[70]*lu1^3* f40[t]*f42[t]*g44[t] - 1653594865226003088*Sqrt[70]*lu1^4*f40[t]* f42[t]*g44[t] + 798989232669367089312*Sqrt[70]*lu1^5*f40[t]*f42[t]* g44[t] - 302658484833196505640*Sqrt[70]*lu1^6*f40[t]*f42[t]* g44[t] - 252463931881911578635128*Sqrt[70]*lu1^7*f40[t]*f42[t]* g44[t] - 1248422463270082214776332*Sqrt[70]*lu1^8*f40[t]*f42[t]* g44[t] + 7817439515086076612091084*Sqrt[70]*lu1^9*f40[t]*f42[t]* g44[t] + 46900796007235186784292264*Sqrt[70]*lu1^10*f40[t]*f42[t]* g44[t] + 66990409577742256594678656*Sqrt[70]*lu1^11*f40[t]*f42[t]* g44[t] - 21914446395562528427574912*Sqrt[70]*lu1^12*f40[t]*f42[t]* g44[t] - 145263376838697302383007040*Sqrt[70]*lu1^13*f40[t]*f42[t]* g44[t] - 125216961512679125332387200*Sqrt[70]*lu1^14*f40[t]*f42[t]* g44[t] - 12185465021861000667840000*Sqrt[70]*lu1^15*f40[t]*f42[t]* g44[t] - 197513714619144*f42[t]*f44[t]*g44[t] + 37980622059996168*lu1*f42[t]*f44[t]*g44[t] - 90115966606921920*lu1^2* f42[t]*f44[t]*g44[t] - 81497702704935745872*lu1^3*f42[t]*f44[t]* g44[t] - 152719623664420811040*lu1^4*f42[t]*f44[t]*g44[t] + 23524051988459449885248*lu1^5*f42[t]*f44[t]*g44[t] + 368509636562698309380912*lu1^6*f42[t]*f44[t]*g44[t] - 1558802225513254747387824*lu1^7*f42[t]*f44[t]*g44[t] - 28452249681592504795020504*lu1^8*f42[t]*f44[t]*g44[t] + 163894871475596861854180920*lu1^9*f42[t]*f44[t]*g44[t] + 286931354247266211006732432*lu1^10*f42[t]*f44[t]*g44[t] - 2560592850570895437227766528*lu1^11*f42[t]*f44[t]*g44[t] - 6480139379976024243078866688*lu1^12*f42[t]*f44[t]*g44[t] - 3224082351217198347268882560*lu1^13*f42[t]*f44[t]*g44[t] + 1580290913353585169234131200*lu1^14*f42[t]*f44[t]*g44[t] + 799586755372263038866560000*lu1^15*f42[t]*f44[t]*g44[t] - 17010846281520*Sqrt[3]*f22n[t]*f44n[t]*g44[t] - 54762051085560*Sqrt[3]*lu1*f22n[t]*f44n[t]*g44[t] + 91034126043522480*Sqrt[3]*lu1^2*f22n[t]*f44n[t]*g44[t] - 1542532430625142320*Sqrt[3]*lu1^3*f22n[t]*f44n[t]*g44[t] - 111412312373844955200*Sqrt[3]*lu1^4*f22n[t]*f44n[t]*g44[t] + 3994035278867261759040*Sqrt[3]*lu1^5*f22n[t]*f44n[t]*g44[t] + 41855770387740490752480*Sqrt[3]*lu1^6*f22n[t]*f44n[t]*g44[t] - 595422388476077864192400*Sqrt[3]*lu1^7*f22n[t]*f44n[t]*g44[t] - 4696146425600962340757840*Sqrt[3]*lu1^8*f22n[t]*f44n[t]*g44[t] + 34170425776591274707937400*Sqrt[3]*lu1^9*f22n[t]*f44n[t]*g44[t] + 100622854780787737089597360*Sqrt[3]*lu1^10*f22n[t]*f44n[t]*g44[t] - 268590763907140251940272000*Sqrt[3]*lu1^11*f22n[t]*f44n[t]*g44[t] - 945264753026493101664309120*Sqrt[3]*lu1^12*f22n[t]*f44n[t]*g44[t] - 482496662178111987754857600*Sqrt[3]*lu1^13*f22n[t]*f44n[t]*g44[t] + 785088968731783106393184000*Sqrt[3]*lu1^14*f22n[t]*f44n[t]*g44[t] + 709913163148798606058880000*Sqrt[3]*lu1^15*f22n[t]*f44n[t]*g44[t] + 36625635794664*f42n[t]*f44n[t]*g44[t] - 5900118931456344*lu1*f42n[t]* f44n[t]*g44[t] - 154228033888496064*lu1^2*f42n[t]*f44n[t]*g44[t] + 26381475924665290128*lu1^3*f42n[t]*f44n[t]*g44[t] + 352631462782453380288*lu1^4*f42n[t]*f44n[t]*g44[t] - 29014443127098282238560*lu1^5*f42n[t]*f44n[t]*g44[t] - 413059528532460029390352*lu1^6*f42n[t]*f44n[t]*g44[t] + 2750939280219544790915952*lu1^7*f42n[t]*f44n[t]*g44[t] + 45222738412134060187275096*lu1^8*f42n[t]*f44n[t]*g44[t] - 116434701614368885743914184*lu1^9*f42n[t]*f44n[t]*g44[t] - 865927258834587113490114096*lu1^10*f42n[t]*f44n[t]*g44[t] - 315924755714886606474912768*lu1^11*f42n[t]*f44n[t]*g44[t] + 2426800633552767333217789440*lu1^12*f42n[t]*f44n[t]*g44[t] + 2015397383610826277816342400*lu1^13*f42n[t]*f44n[t]*g44[t] - 1113249625711996441263840000*lu1^14*f42n[t]*f44n[t]*g44[t] - 1173631668081632397429120000*lu1^15*f42n[t]*f44n[t]*g44[t] + 43097463045*Sqrt[14]*f42[t]*g20[t]*g44[t] + 68817384715365*Sqrt[14]* lu1*f42[t]*g20[t]*g44[t] - 2280078940264515*Sqrt[14]*lu1^2*f42[t]* g20[t]*g44[t] - 153042859764015975*Sqrt[14]*lu1^3*f42[t]*g20[t]* g44[t] + 3459464758288283355*Sqrt[14]*lu1^4*f42[t]*g20[t]*g44[t] + 22712816067203695095*Sqrt[14]*lu1^5*f42[t]*g20[t]*g44[t] - 713521728544506247665*Sqrt[14]*lu1^6*f42[t]*g20[t]*g44[t] - 1888799799627677470365*Sqrt[14]*lu1^7*f42[t]*g20[t]*g44[t] + 68583685097282793714900*Sqrt[14]*lu1^8*f42[t]*g20[t]*g44[t] + 372551308413331423039560*Sqrt[14]*lu1^9*f42[t]*g20[t]*g44[t] - 1345934836572047642269440*Sqrt[14]*lu1^10*f42[t]*g20[t]*g44[t] - 16353067545208344293871840*Sqrt[14]*lu1^11*f42[t]*g20[t]*g44[t] - 70768085534896711906825920*Sqrt[14]*lu1^12*f42[t]*g20[t]*g44[t] - 111275919613499799881923200*Sqrt[14]*lu1^13*f42[t]*g20[t]*g44[t] - 9390370921508678538528000*Sqrt[14]*lu1^14*f42[t]*g20[t]*g44[t] + 68332999545583038695520000*Sqrt[14]*lu1^15*f42[t]*g20[t]*g44[t] + 81286203375*Sqrt[210]*f40[t]*g22[t]*g44[t] + 44575941058623* Sqrt[210]*lu1*f40[t]*g22[t]*g44[t] - 1610298591103449*Sqrt[210]* lu1^2*f40[t]*g22[t]*g44[t] - 112041700088624865*Sqrt[210]*lu1^3* f40[t]*g22[t]*g44[t] + 2454636173338803441*Sqrt[210]*lu1^4*f40[t]* g22[t]*g44[t] + 42605064633873798849*Sqrt[210]*lu1^5*f40[t]*g22[t]* g44[t] - 641356581357173307483*Sqrt[210]*lu1^6*f40[t]*g22[t]* g44[t] - 7179563299167960174123*Sqrt[210]*lu1^7*f40[t]*g22[t]* g44[t] + 45866500135730472507660*Sqrt[210]*lu1^8*f40[t]*g22[t]* g44[t] + 506944916112101260278732*Sqrt[210]*lu1^9*f40[t]*g22[t]* g44[t] - 233115556319627398398072*Sqrt[210]*lu1^10*f40[t]*g22[t]* g44[t] - 11387867160768544436697408*Sqrt[210]*lu1^11*f40[t]*g22[t]* g44[t] - 32050813509217823582196480*Sqrt[210]*lu1^12*f40[t]*g22[t]* g44[t] - 19520104000282994203617600*Sqrt[210]*lu1^13*f40[t]*g22[t]* g44[t] + 26012064907957370769072000*Sqrt[210]*lu1^14*f40[t]*g22[t]* g44[t] + 23644590684359410190880000*Sqrt[210]*lu1^15*f40[t]*g22[t]* g44[t] + 4940432725410*Sqrt[3]*f44[t]*g22[t]*g44[t] + 143191335064050*Sqrt[3]*lu1*f44[t]*g22[t]*g44[t] - 26370718205053950*Sqrt[3]*lu1^2*f44[t]*g22[t]*g44[t] - 454371308200301310*Sqrt[3]*lu1^3*f44[t]*g22[t]*g44[t] + 35854116064779304110*Sqrt[3]*lu1^4*f44[t]*g22[t]*g44[t] + 293194367756916583230*Sqrt[3]*lu1^5*f44[t]*g22[t]*g44[t] - 13313774800223588333370*Sqrt[3]*lu1^6*f44[t]*g22[t]*g44[t] - 67022592068172795777450*Sqrt[3]*lu1^7*f44[t]*g22[t]*g44[t] + 1556466222570740499771480*Sqrt[3]*lu1^8*f44[t]*g22[t]*g44[t] + 6851863178176274166537720*Sqrt[3]*lu1^9*f44[t]*g22[t]*g44[t] - 50358459539646841618679280*Sqrt[3]*lu1^10*f44[t]*g22[t]*g44[t] - 220157062036577428050637440*Sqrt[3]*lu1^11*f44[t]*g22[t]*g44[t] - 40955648099524369547481600*Sqrt[3]*lu1^12*f44[t]*g22[t]*g44[t] + 681800696696255050721788800*Sqrt[3]*lu1^13*f44[t]*g22[t]*g44[t] + 752804591389906427045856000*Sqrt[3]*lu1^14*f44[t]*g22[t]*g44[t] + 153802948192772541324480000*Sqrt[3]*lu1^15*f44[t]*g22[t]*g44[t] + 3230789127930*Sqrt[3]*f44n[t]*g22n[t]*g44[t] - 136676601578790*Sqrt[3]*lu1*f44n[t]*g22n[t]*g44[t] - 8295532755834870*Sqrt[3]*lu1^2*f44n[t]*g22n[t]*g44[t] + 283179737301380010*Sqrt[3]*lu1^3*f44n[t]*g22n[t]*g44[t] + 5405549879638509510*Sqrt[3]*lu1^4*f44n[t]*g22n[t]*g44[t] - 100745685183511108650*Sqrt[3]*lu1^5*f44n[t]*g22n[t]*g44[t] - 2445695000767217507490*Sqrt[3]*lu1^6*f44n[t]*g22n[t]*g44[t] + 15726720240240003438990*Sqrt[3]*lu1^7*f44n[t]*g22n[t]*g44[t] + 444140142675444484880520*Sqrt[3]*lu1^8*f44n[t]*g22n[t]*g44[t] - 526922096704140455234280*Sqrt[3]*lu1^9*f44n[t]*g22n[t]*g44[t] - 27188261973142761964265520*Sqrt[3]*lu1^10*f44n[t]*g22n[t]*g44[t] - 38424906398071127343601920*Sqrt[3]*lu1^11*f44n[t]*g22n[t]*g44[t] + 245852423926942714501052160*Sqrt[3]*lu1^12*f44n[t]*g22n[t]*g44[t] + 628802778023239047518908800*Sqrt[3]*lu1^13*f44n[t]*g22n[t]*g44[t] + 272028685572509394922848000*Sqrt[3]*lu1^14*f44n[t]*g22n[t]*g44[t] - 152977460811239141663040000*Sqrt[3]*lu1^15*f44n[t]*g22n[t]*g44[t] + 199190188530*Sqrt[70]*f42[t]*g40[t]*g44[t] - 5622830340930*Sqrt[70]* lu1*f42[t]*g40[t]*g44[t] - 386549757672930*Sqrt[70]*lu1^2*f42[t]* g40[t]*g44[t] - 9809452017081090*Sqrt[70]*lu1^3*f42[t]*g40[t]* g44[t] + 485544979419506010*Sqrt[70]*lu1^4*f42[t]*g40[t]*g44[t] + 13435321875687022050*Sqrt[70]*lu1^5*f42[t]*g40[t]*g44[t] - 115533545891706989190*Sqrt[70]*lu1^6*f42[t]*g40[t]*g44[t] - 2392656717899918998710*Sqrt[70]*lu1^7*f42[t]*g40[t]*g44[t] - 12182421107570598338580*Sqrt[70]*lu1^8*f42[t]*g40[t]*g44[t] - 3914969863425340310280*Sqrt[70]*lu1^9*f42[t]*g40[t]*g44[t] + 1056132376526750620391280*Sqrt[70]*lu1^10*f42[t]*g40[t]*g44[t] + 2740309021201530222980640*Sqrt[70]*lu1^11*f42[t]*g40[t]*g44[t] - 7981093473358057096996800*Sqrt[70]*lu1^12*f42[t]*g40[t]*g44[t] - 33073918621213155459120000*Sqrt[70]*lu1^13*f42[t]*g40[t]*g44[t] - 26050912027874017593120000*Sqrt[70]*lu1^14*f42[t]*g40[t]*g44[t] + 5528243203716187785600000*Sqrt[70]*lu1^15*f42[t]*g40[t]*g44[t] + 288375731415*Sqrt[70]*f40[t]*g42[t]*g44[t] + 690572865249*Sqrt[70]* lu1*f40[t]*g42[t]*g44[t] - 520773728159439*Sqrt[70]*lu1^2*f40[t]* g42[t]*g44[t] - 47289808315717119*Sqrt[70]*lu1^3*f40[t]*g42[t]* g44[t] + 860867585619811443*Sqrt[70]*lu1^4*f40[t]*g42[t]*g44[t] + 12703698238770041103*Sqrt[70]*lu1^5*f40[t]*g42[t]*g44[t] - 127305366835028760765*Sqrt[70]*lu1^6*f40[t]*g42[t]*g44[t] - 1282278256986325287717*Sqrt[70]*lu1^7*f40[t]*g42[t]*g44[t] + 346990671854579449242*Sqrt[70]*lu1^8*f40[t]*g42[t]*g44[t] + 15564816931169962398276*Sqrt[70]*lu1^9*f40[t]*g42[t]*g44[t] + 100080437976306527321736*Sqrt[70]*lu1^10*f40[t]*g42[t]*g44[t] + 217132272913146643640304*Sqrt[70]*lu1^11*f40[t]*g42[t]*g44[t] + 2955954553725091204177632*Sqrt[70]*lu1^12*f40[t]*g42[t]*g44[t] + 10511174913063987333435840*Sqrt[70]*lu1^13*f40[t]*g42[t]*g44[t] + 7544906568042132205123200*Sqrt[70]*lu1^14*f40[t]*g42[t]*g44[t] - 4278499128537540500160000*Sqrt[70]*lu1^15*f40[t]*g42[t]*g44[t] - 2868169165470*f44[t]*g42[t]*g44[t] - 706509055297458*lu1*f44[t]* g42[t]*g44[t] + 39478300154142318*lu1^2*f44[t]*g42[t]*g44[t] + 1176776798871622158*lu1^3*f44[t]*g42[t]*g44[t] - 46441007090241213366*lu1^4*f44[t]*g42[t]*g44[t] - 308620196219315116206*lu1^5*f44[t]*g42[t]*g44[t] + 12636527985427076851050*lu1^6*f44[t]*g42[t]*g44[t] + 33400233469813181118714*lu1^7*f44[t]*g42[t]*g44[t] - 1228853109596825651336244*lu1^8*f44[t]*g42[t]*g44[t] - 1259776777553350166125512*lu1^9*f44[t]*g42[t]*g44[t] + 47696941432686063220981488*lu1^10*f44[t]*g42[t]*g44[t] + 33418211440207716988522272*lu1^11*f44[t]*g42[t]*g44[t] - 546798520754858333628886464*lu1^12*f44[t]*g42[t]*g44[t] - 1231207228210660430089207680*lu1^13*f44[t]*g42[t]*g44[t] - 751402911010734191473286400*lu1^14*f44[t]*g42[t]*g44[t] - 39285943411440920100480000*lu1^15*f44[t]*g42[t]*g44[t] - 4205300703030*f44n[t]*g42n[t]*g44[t] + 339124711513014*lu1*f44n[t]* g42n[t]*g44[t] + 1109231676980406*lu1^2*f44n[t]*g42n[t]*g44[t] - 155004632411456394*lu1^3*f44n[t]*g42n[t]*g44[t] - 5976079657260644862*lu1^4*f44n[t]*g42n[t]*g44[t] - 175016727425242921302*lu1^5*f44n[t]*g42n[t]*g44[t] + 5190976336659025643010*lu1^6*f44n[t]*g42n[t]*g44[t] + 44699347048599914340978*lu1^7*f44n[t]*g42n[t]*g44[t] - 753158213102039571071028*lu1^8*f44n[t]*g42n[t]*g44[t] - 3270801039961788464126184*lu1^9*f44n[t]*g42n[t]*g44[t] + 33236763579790928707593456*lu1^10*f44n[t]*g42n[t]*g44[t] + 86346759320466055057098144*lu1^11*f44n[t]*g42n[t]*g44[t] - 310044762816180637220111808*lu1^12*f44n[t]*g42n[t]*g44[t] - 1220655998283107308427836800*lu1^13*f44n[t]*g42n[t]*g44[t] - 1355003103190546459820217600*lu1^14*f44n[t]*g42n[t]*g44[t] - 521402651622307639062144000*lu1^15*f44n[t]*g42n[t]*g44[t] + 3277214316810*f42[t]*g44[t]^2 - 847796096227626*lu1*f42[t]* g44[t]^2 + 17867687497332246*lu1^2*f42[t]*g44[t]^2 + 1539282005321016726*lu1^3*f42[t]*g44[t]^2 - 25777942502168729502* lu1^4*f42[t]*g44[t]^2 - 605211183024975822582*lu1^5*f42[t]* g44[t]^2 + 5495818353608784319650*lu1^6*f42[t]*g44[t]^2 + 97565409717602597691858*lu1^7*f42[t]*g44[t]^2 - 74067367579773931555668*lu1^8*f42[t]*g44[t]^2 - 5098711158970515754361064*lu1^9*f42[t]*g44[t]^2 - 17987410403220971493227664*lu1^10*f42[t]*g44[t]^2 + 89937349088044470771425184*lu1^11*f42[t]*g44[t]^2 + 443612336759361812578761792*lu1^12*f42[t]*g44[t]^2 + 428373120439736159951975040*lu1^13*f42[t]*g44[t]^2 - 203573232647209187569900800*lu1^14*f42[t]*g44[t]^2 - 291100167561153440568960000*lu1^15*f42[t]*g44[t]^2 - 2411996134860*Sqrt[210]*f22n[t]*f40[t]*g44n[t] - 334224940154508*Sqrt[210]*lu1*f22n[t]*f40[t]*g44n[t] + 17675861335802280*Sqrt[210]*lu1^2*f22n[t]*f40[t]*g44n[t] + 899265084088886424*Sqrt[210]*lu1^3*f22n[t]*f40[t]*g44n[t] - 21199094188294070568*Sqrt[210]*lu1^4*f22n[t]*f40[t]*g44n[t] - 378367599120721828176*Sqrt[210]*lu1^5*f22n[t]*f40[t]*g44n[t] + 4127925205615004509872*Sqrt[210]*lu1^6*f22n[t]*f40[t]*g44n[t] + 59468501100133121809800*Sqrt[210]*lu1^7*f22n[t]*f40[t]*g44n[t] - 106545385577114373258252*Sqrt[210]*lu1^8*f22n[t]*f40[t]*g44n[t] - 2617392751612868441720196*Sqrt[210]*lu1^9*f22n[t]*f40[t]*g44n[t] - 2739088118770408908042072*Sqrt[210]*lu1^10*f22n[t]*f40[t]*g44n[t] + 27506222605994723787271296*Sqrt[210]*lu1^11*f22n[t]*f40[t]*g44n[t] + 87495259168678803652728960*Sqrt[210]*lu1^12*f22n[t]*f40[t]*g44n[t] + 76742322392817110376484800*Sqrt[210]*lu1^13*f22n[t]*f40[t]*g44n[t] - 23743814019464790027504000*Sqrt[210]*lu1^14*f22n[t]*f40[t]*g44n[t] - 42954841925496061928640000*Sqrt[210]*lu1^15*f22n[t]*f40[t]*g44n[t] - 2738837093220*Sqrt[70]*f40[t]*f42n[t]*g44n[t] - 820096340441004*Sqrt[70]*lu1*f40[t]*f42n[t]*g44n[t] + 12048106164753024*Sqrt[70]*lu1^2*f40[t]*f42n[t]*g44n[t] + 2089559608754728824*Sqrt[70]*lu1^3*f40[t]*f42n[t]*g44n[t] - 1653594865226003088*Sqrt[70]*lu1^4*f40[t]*f42n[t]*g44n[t] + 798989232669367089312*Sqrt[70]*lu1^5*f40[t]*f42n[t]*g44n[t] - 302658484833196505640*Sqrt[70]*lu1^6*f40[t]*f42n[t]*g44n[t] - 252463931881911578635128*Sqrt[70]*lu1^7*f40[t]*f42n[t]*g44n[t] - 1248422463270082214776332*Sqrt[70]*lu1^8*f40[t]*f42n[t]*g44n[t] + 7817439515086076612091084*Sqrt[70]*lu1^9*f40[t]*f42n[t]*g44n[t] + 46900796007235186784292264*Sqrt[70]*lu1^10*f40[t]*f42n[t]*g44n[t] + 66990409577742256594678656*Sqrt[70]*lu1^11*f40[t]*f42n[t]*g44n[t] - 21914446395562528427574912*Sqrt[70]*lu1^12*f40[t]*f42n[t]*g44n[t] - 145263376838697302383007040*Sqrt[70]*lu1^13*f40[t]*f42n[t]*g44n[t] - 125216961512679125332387200*Sqrt[70]*lu1^14*f40[t]*f42n[t]*g44n[t] - 12185465021861000667840000*Sqrt[70]*lu1^15*f40[t]*f42n[t]*g44n[t] + 17010846281520*Sqrt[3]*f22n[t]*f44[t]*g44n[t] + 54762051085560*Sqrt[3]*lu1*f22n[t]*f44[t]*g44n[t] - 91034126043522480*Sqrt[3]*lu1^2*f22n[t]*f44[t]*g44n[t] + 1542532430625142320*Sqrt[3]*lu1^3*f22n[t]*f44[t]*g44n[t] + 111412312373844955200*Sqrt[3]*lu1^4*f22n[t]*f44[t]*g44n[t] - 3994035278867261759040*Sqrt[3]*lu1^5*f22n[t]*f44[t]*g44n[t] - 41855770387740490752480*Sqrt[3]*lu1^6*f22n[t]*f44[t]*g44n[t] + 595422388476077864192400*Sqrt[3]*lu1^7*f22n[t]*f44[t]*g44n[t] + 4696146425600962340757840*Sqrt[3]*lu1^8*f22n[t]*f44[t]*g44n[t] - 34170425776591274707937400*Sqrt[3]*lu1^9*f22n[t]*f44[t]*g44n[t] - 100622854780787737089597360*Sqrt[3]*lu1^10*f22n[t]*f44[t]*g44n[t] + 268590763907140251940272000*Sqrt[3]*lu1^11*f22n[t]*f44[t]*g44n[t] + 945264753026493101664309120*Sqrt[3]*lu1^12*f22n[t]*f44[t]*g44n[t] + 482496662178111987754857600*Sqrt[3]*lu1^13*f22n[t]*f44[t]*g44n[t] - 785088968731783106393184000*Sqrt[3]*lu1^14*f22n[t]*f44[t]*g44n[t] - 709913163148798606058880000*Sqrt[3]*lu1^15*f22n[t]*f44[t]*g44n[t] - 36625635794664*f42n[t]*f44[t]*g44n[t] + 5900118931456344*lu1*f42n[t]* f44[t]*g44n[t] + 154228033888496064*lu1^2*f42n[t]*f44[t]*g44n[t] - 26381475924665290128*lu1^3*f42n[t]*f44[t]*g44n[t] - 352631462782453380288*lu1^4*f42n[t]*f44[t]*g44n[t] + 29014443127098282238560*lu1^5*f42n[t]*f44[t]*g44n[t] + 413059528532460029390352*lu1^6*f42n[t]*f44[t]*g44n[t] - 2750939280219544790915952*lu1^7*f42n[t]*f44[t]*g44n[t] - 45222738412134060187275096*lu1^8*f42n[t]*f44[t]*g44n[t] + 116434701614368885743914184*lu1^9*f42n[t]*f44[t]*g44n[t] + 865927258834587113490114096*lu1^10*f42n[t]*f44[t]*g44n[t] + 315924755714886606474912768*lu1^11*f42n[t]*f44[t]*g44n[t] - 2426800633552767333217789440*lu1^12*f42n[t]*f44[t]*g44n[t] - 2015397383610826277816342400*lu1^13*f42n[t]*f44[t]*g44n[t] + 1113249625711996441263840000*lu1^14*f42n[t]*f44[t]*g44n[t] + 1173631668081632397429120000*lu1^15*f42n[t]*f44[t]*g44n[t] - 197513714619144*f42[t]*f44n[t]*g44n[t] + 37980622059996168*lu1* f42[t]*f44n[t]*g44n[t] - 90115966606921920*lu1^2*f42[t]*f44n[t]* g44n[t] - 81497702704935745872*lu1^3*f42[t]*f44n[t]*g44n[t] - 152719623664420811040*lu1^4*f42[t]*f44n[t]*g44n[t] + 23524051988459449885248*lu1^5*f42[t]*f44n[t]*g44n[t] + 368509636562698309380912*lu1^6*f42[t]*f44n[t]*g44n[t] - 1558802225513254747387824*lu1^7*f42[t]*f44n[t]*g44n[t] - 28452249681592504795020504*lu1^8*f42[t]*f44n[t]*g44n[t] + 163894871475596861854180920*lu1^9*f42[t]*f44n[t]*g44n[t] + 286931354247266211006732432*lu1^10*f42[t]*f44n[t]*g44n[t] - 2560592850570895437227766528*lu1^11*f42[t]*f44n[t]*g44n[t] - 6480139379976024243078866688*lu1^12*f42[t]*f44n[t]*g44n[t] - 3224082351217198347268882560*lu1^13*f42[t]*f44n[t]*g44n[t] + 1580290913353585169234131200*lu1^14*f42[t]*f44n[t]*g44n[t] + 799586755372263038866560000*lu1^15*f42[t]*f44n[t]*g44n[t] - 61880355810*Sqrt[42]*f22n[t]*g20[t]*g44n[t] - 52433998110*Sqrt[42]* lu1*f22n[t]*g20[t]*g44n[t] + 305816998721130*Sqrt[42]*lu1^2*f22n[t]* g20[t]*g44n[t] - 269134742346210*Sqrt[42]*lu1^3*f22n[t]*g20[t]* g44n[t] - 434313926387374410*Sqrt[42]*lu1^4*f22n[t]*g20[t]* g44n[t] + 1671518455399189410*Sqrt[42]*lu1^5*f22n[t]*g20[t]* g44n[t] + 207788016763265763630*Sqrt[42]*lu1^6*f22n[t]*g20[t]* g44n[t] - 472435716227614342710*Sqrt[42]*lu1^7*f22n[t]*g20[t]* g44n[t] - 39050487199443096272220*Sqrt[42]*lu1^8*f22n[t]*g20[t]* g44n[t] + 3807899415397204304580*Sqrt[42]*lu1^9*f22n[t]*g20[t]* g44n[t] + 2391664747910087700064560*Sqrt[42]*lu1^10*f22n[t]*g20[t]* g44n[t] + 2153608844131669226749200*Sqrt[42]*lu1^11*f22n[t]*g20[t]* g44n[t] - 28171399288293746796267840*Sqrt[42]*lu1^12*f22n[t]*g20[t]* g44n[t] - 72779105403545712322132800*Sqrt[42]*lu1^13*f22n[t]*g20[t]* g44n[t] - 59341635085485012318240000*Sqrt[42]*lu1^14*f22n[t]*g20[t]* g44n[t] - 13611192073742174052960000*Sqrt[42]*lu1^15*f22n[t]*g20[t]* g44n[t] + 43097463045*Sqrt[14]*f42n[t]*g20[t]*g44n[t] + 68817384715365*Sqrt[14]*lu1*f42n[t]*g20[t]*g44n[t] - 2280078940264515*Sqrt[14]*lu1^2*f42n[t]*g20[t]*g44n[t] - 153042859764015975*Sqrt[14]*lu1^3*f42n[t]*g20[t]*g44n[t] + 3459464758288283355*Sqrt[14]*lu1^4*f42n[t]*g20[t]*g44n[t] + 22712816067203695095*Sqrt[14]*lu1^5*f42n[t]*g20[t]*g44n[t] - 713521728544506247665*Sqrt[14]*lu1^6*f42n[t]*g20[t]*g44n[t] - 1888799799627677470365*Sqrt[14]*lu1^7*f42n[t]*g20[t]*g44n[t] + 68583685097282793714900*Sqrt[14]*lu1^8*f42n[t]*g20[t]*g44n[t] + 372551308413331423039560*Sqrt[14]*lu1^9*f42n[t]*g20[t]*g44n[t] - 1345934836572047642269440*Sqrt[14]*lu1^10*f42n[t]*g20[t]*g44n[t] - 16353067545208344293871840*Sqrt[14]*lu1^11*f42n[t]*g20[t]*g44n[t] - 70768085534896711906825920*Sqrt[14]*lu1^12*f42n[t]*g20[t]*g44n[t] - 111275919613499799881923200*Sqrt[14]*lu1^13*f42n[t]*g20[t]*g44n[t] - 9390370921508678538528000*Sqrt[14]*lu1^14*f42n[t]*g20[t]*g44n[t] + 68332999545583038695520000*Sqrt[14]*lu1^15*f42n[t]*g20[t]*g44n[t] + 4940432725410*Sqrt[3]*f44n[t]*g22[t]*g44n[t] + 143191335064050*Sqrt[3]*lu1*f44n[t]*g22[t]*g44n[t] - 26370718205053950*Sqrt[3]*lu1^2*f44n[t]*g22[t]*g44n[t] - 454371308200301310*Sqrt[3]*lu1^3*f44n[t]*g22[t]*g44n[t] + 35854116064779304110*Sqrt[3]*lu1^4*f44n[t]*g22[t]*g44n[t] + 293194367756916583230*Sqrt[3]*lu1^5*f44n[t]*g22[t]*g44n[t] - 13313774800223588333370*Sqrt[3]*lu1^6*f44n[t]*g22[t]*g44n[t] - 67022592068172795777450*Sqrt[3]*lu1^7*f44n[t]*g22[t]*g44n[t] + 1556466222570740499771480*Sqrt[3]*lu1^8*f44n[t]*g22[t]*g44n[t] + 6851863178176274166537720*Sqrt[3]*lu1^9*f44n[t]*g22[t]*g44n[t] - 50358459539646841618679280*Sqrt[3]*lu1^10*f44n[t]*g22[t]*g44n[t] - 220157062036577428050637440*Sqrt[3]*lu1^11*f44n[t]*g22[t]*g44n[t] - 40955648099524369547481600*Sqrt[3]*lu1^12*f44n[t]*g22[t]*g44n[t] + 681800696696255050721788800*Sqrt[3]*lu1^13*f44n[t]*g22[t]*g44n[t] + 752804591389906427045856000*Sqrt[3]*lu1^14*f44n[t]*g22[t]*g44n[t] + 153802948192772541324480000*Sqrt[3]*lu1^15*f44n[t]*g22[t]*g44n[t] + 81286203375*Sqrt[210]*f40[t]*g22n[t]*g44n[t] + 44575941058623*Sqrt[210]*lu1*f40[t]*g22n[t]*g44n[t] - 1610298591103449*Sqrt[210]*lu1^2*f40[t]*g22n[t]*g44n[t] - 112041700088624865*Sqrt[210]*lu1^3*f40[t]*g22n[t]*g44n[t] + 2454636173338803441*Sqrt[210]*lu1^4*f40[t]*g22n[t]*g44n[t] + 42605064633873798849*Sqrt[210]*lu1^5*f40[t]*g22n[t]*g44n[t] - 641356581357173307483*Sqrt[210]*lu1^6*f40[t]*g22n[t]*g44n[t] - 7179563299167960174123*Sqrt[210]*lu1^7*f40[t]*g22n[t]*g44n[t] + 45866500135730472507660*Sqrt[210]*lu1^8*f40[t]*g22n[t]*g44n[t] + 506944916112101260278732*Sqrt[210]*lu1^9*f40[t]*g22n[t]*g44n[t] - 233115556319627398398072*Sqrt[210]*lu1^10*f40[t]*g22n[t]*g44n[t] - 11387867160768544436697408*Sqrt[210]*lu1^11*f40[t]*g22n[t]*g44n[t] - 32050813509217823582196480*Sqrt[210]*lu1^12*f40[t]*g22n[t]*g44n[t] - 19520104000282994203617600*Sqrt[210]*lu1^13*f40[t]*g22n[t]*g44n[t] + 26012064907957370769072000*Sqrt[210]*lu1^14*f40[t]*g22n[t]*g44n[t] + 23644590684359410190880000*Sqrt[210]*lu1^15*f40[t]*g22n[t]*g44n[t] - 3230789127930*Sqrt[3]*f44[t]*g22n[t]*g44n[t] + 136676601578790*Sqrt[3]*lu1*f44[t]*g22n[t]*g44n[t] + 8295532755834870*Sqrt[3]*lu1^2*f44[t]*g22n[t]*g44n[t] - 283179737301380010*Sqrt[3]*lu1^3*f44[t]*g22n[t]*g44n[t] - 5405549879638509510*Sqrt[3]*lu1^4*f44[t]*g22n[t]*g44n[t] + 100745685183511108650*Sqrt[3]*lu1^5*f44[t]*g22n[t]*g44n[t] + 2445695000767217507490*Sqrt[3]*lu1^6*f44[t]*g22n[t]*g44n[t] - 15726720240240003438990*Sqrt[3]*lu1^7*f44[t]*g22n[t]*g44n[t] - 444140142675444484880520*Sqrt[3]*lu1^8*f44[t]*g22n[t]*g44n[t] + 526922096704140455234280*Sqrt[3]*lu1^9*f44[t]*g22n[t]*g44n[t] + 27188261973142761964265520*Sqrt[3]*lu1^10*f44[t]*g22n[t]*g44n[t] + 38424906398071127343601920*Sqrt[3]*lu1^11*f44[t]*g22n[t]*g44n[t] - 245852423926942714501052160*Sqrt[3]*lu1^12*f44[t]*g22n[t]*g44n[t] - 628802778023239047518908800*Sqrt[3]*lu1^13*f44[t]*g22n[t]*g44n[t] - 272028685572509394922848000*Sqrt[3]*lu1^14*f44[t]*g22n[t]*g44n[t] + 152977460811239141663040000*Sqrt[3]*lu1^15*f44[t]*g22n[t]*g44n[t] + 106617102930*Sqrt[210]*f22n[t]*g40[t]*g44n[t] + 887145312222*Sqrt[210]*lu1*f22n[t]*g40[t]*g44n[t] - 497551913830530*Sqrt[210]*lu1^2*f22n[t]*g40[t]*g44n[t] - 3155688936356346*Sqrt[210]*lu1^3*f22n[t]*g40[t]*g44n[t] + 622340538628946202*Sqrt[210]*lu1^4*f22n[t]*g40[t]*g44n[t] + 1063327865202642234*Sqrt[210]*lu1^5*f22n[t]*g40[t]*g44n[t] - 223973813643273787158*Sqrt[210]*lu1^6*f22n[t]*g40[t]*g44n[t] - 47186276860707399870*Sqrt[210]*lu1^7*f22n[t]*g40[t]*g44n[t] + 27042663821504889993708*Sqrt[210]*lu1^8*f22n[t]*g40[t]*g44n[t] + 9775979001607304276544*Sqrt[210]*lu1^9*f22n[t]*g40[t]*g44n[t] - 1115276904221726743590912*Sqrt[210]*lu1^10*f22n[t]*g40[t]*g44n[t] - 1095976461108489270564384*Sqrt[210]*lu1^11*f22n[t]*g40[t]*g44n[t] + 12497471119274460712685760*Sqrt[210]*lu1^12*f22n[t]*g40[t]*g44n[t] + 34169312722358986436908800*Sqrt[210]*lu1^13*f22n[t]*g40[t]*g44n[t] + 30118475705346585123840000*Sqrt[210]*lu1^14*f22n[t]*g40[t]*g44n[t] + 8119629869838616321920000*Sqrt[210]*lu1^15*f22n[t]*g40[t]*g44n[t] + 199190188530*Sqrt[70]*f42n[t]*g40[t]*g44n[t] - 5622830340930*Sqrt[70]*lu1*f42n[t]*g40[t]*g44n[t] - 386549757672930*Sqrt[70]*lu1^2*f42n[t]*g40[t]*g44n[t] - 9809452017081090*Sqrt[70]*lu1^3*f42n[t]*g40[t]*g44n[t] + 485544979419506010*Sqrt[70]*lu1^4*f42n[t]*g40[t]*g44n[t] + 13435321875687022050*Sqrt[70]*lu1^5*f42n[t]*g40[t]*g44n[t] - 115533545891706989190*Sqrt[70]*lu1^6*f42n[t]*g40[t]*g44n[t] - 2392656717899918998710*Sqrt[70]*lu1^7*f42n[t]*g40[t]*g44n[t] - 12182421107570598338580*Sqrt[70]*lu1^8*f42n[t]*g40[t]*g44n[t] - 3914969863425340310280*Sqrt[70]*lu1^9*f42n[t]*g40[t]*g44n[t] + 1056132376526750620391280*Sqrt[70]*lu1^10*f42n[t]*g40[t]*g44n[t] + 2740309021201530222980640*Sqrt[70]*lu1^11*f42n[t]*g40[t]*g44n[t] - 7981093473358057096996800*Sqrt[70]*lu1^12*f42n[t]*g40[t]*g44n[t] - 33073918621213155459120000*Sqrt[70]*lu1^13*f42n[t]*g40[t]*g44n[t] - 26050912027874017593120000*Sqrt[70]*lu1^14*f42n[t]*g40[t]*g44n[t] + 5528243203716187785600000*Sqrt[70]*lu1^15*f42n[t]*g40[t]*g44n[t] - 2868169165470*f44n[t]*g42[t]*g44n[t] - 706509055297458*lu1*f44n[t]* g42[t]*g44n[t] + 39478300154142318*lu1^2*f44n[t]*g42[t]*g44n[t] + 1176776798871622158*lu1^3*f44n[t]*g42[t]*g44n[t] - 46441007090241213366*lu1^4*f44n[t]*g42[t]*g44n[t] - 308620196219315116206*lu1^5*f44n[t]*g42[t]*g44n[t] + 12636527985427076851050*lu1^6*f44n[t]*g42[t]*g44n[t] + 33400233469813181118714*lu1^7*f44n[t]*g42[t]*g44n[t] - 1228853109596825651336244*lu1^8*f44n[t]*g42[t]*g44n[t] - 1259776777553350166125512*lu1^9*f44n[t]*g42[t]*g44n[t] + 47696941432686063220981488*lu1^10*f44n[t]*g42[t]*g44n[t] + 33418211440207716988522272*lu1^11*f44n[t]*g42[t]*g44n[t] - 546798520754858333628886464*lu1^12*f44n[t]*g42[t]*g44n[t] - 1231207228210660430089207680*lu1^13*f44n[t]*g42[t]*g44n[t] - 751402911010734191473286400*lu1^14*f44n[t]*g42[t]*g44n[t] - 39285943411440920100480000*lu1^15*f44n[t]*g42[t]*g44n[t] + 288375731415*Sqrt[70]*f40[t]*g42n[t]*g44n[t] + 690572865249*Sqrt[70]* lu1*f40[t]*g42n[t]*g44n[t] - 520773728159439*Sqrt[70]*lu1^2*f40[t]* g42n[t]*g44n[t] - 47289808315717119*Sqrt[70]*lu1^3*f40[t]*g42n[t]* g44n[t] + 860867585619811443*Sqrt[70]*lu1^4*f40[t]*g42n[t]* g44n[t] + 12703698238770041103*Sqrt[70]*lu1^5*f40[t]*g42n[t]* g44n[t] - 127305366835028760765*Sqrt[70]*lu1^6*f40[t]*g42n[t]* g44n[t] - 1282278256986325287717*Sqrt[70]*lu1^7*f40[t]*g42n[t]* g44n[t] + 346990671854579449242*Sqrt[70]*lu1^8*f40[t]*g42n[t]* g44n[t] + 15564816931169962398276*Sqrt[70]*lu1^9*f40[t]*g42n[t]* g44n[t] + 100080437976306527321736*Sqrt[70]*lu1^10*f40[t]*g42n[t]* g44n[t] + 217132272913146643640304*Sqrt[70]*lu1^11*f40[t]*g42n[t]* g44n[t] + 2955954553725091204177632*Sqrt[70]*lu1^12*f40[t]*g42n[t]* g44n[t] + 10511174913063987333435840*Sqrt[70]*lu1^13*f40[t]*g42n[t]* g44n[t] + 7544906568042132205123200*Sqrt[70]*lu1^14*f40[t]*g42n[t]* g44n[t] - 4278499128537540500160000*Sqrt[70]*lu1^15*f40[t]*g42n[t]* g44n[t] + 4205300703030*f44[t]*g42n[t]*g44n[t] - 339124711513014*lu1*f44[t]*g42n[t]*g44n[t] - 1109231676980406*lu1^2* f44[t]*g42n[t]*g44n[t] + 155004632411456394*lu1^3*f44[t]*g42n[t]* g44n[t] + 5976079657260644862*lu1^4*f44[t]*g42n[t]*g44n[t] + 175016727425242921302*lu1^5*f44[t]*g42n[t]*g44n[t] - 5190976336659025643010*lu1^6*f44[t]*g42n[t]*g44n[t] - 44699347048599914340978*lu1^7*f44[t]*g42n[t]*g44n[t] + 753158213102039571071028*lu1^8*f44[t]*g42n[t]*g44n[t] + 3270801039961788464126184*lu1^9*f44[t]*g42n[t]*g44n[t] - 33236763579790928707593456*lu1^10*f44[t]*g42n[t]*g44n[t] - 86346759320466055057098144*lu1^11*f44[t]*g42n[t]*g44n[t] + 310044762816180637220111808*lu1^12*f44[t]*g42n[t]*g44n[t] + 1220655998283107308427836800*lu1^13*f44[t]*g42n[t]*g44n[t] + 1355003103190546459820217600*lu1^14*f44[t]*g42n[t]*g44n[t] + 521402651622307639062144000*lu1^15*f44[t]*g42n[t]*g44n[t] + 3277214316810*f42[t]*g44n[t]^2 - 847796096227626*lu1*f42[t]* g44n[t]^2 + 17867687497332246*lu1^2*f42[t]*g44n[t]^2 + 1539282005321016726*lu1^3*f42[t]*g44n[t]^2 - 25777942502168729502* lu1^4*f42[t]*g44n[t]^2 - 605211183024975822582*lu1^5*f42[t]* g44n[t]^2 + 5495818353608784319650*lu1^6*f42[t]*g44n[t]^2 + 97565409717602597691858*lu1^7*f42[t]*g44n[t]^2 - 74067367579773931555668*lu1^8*f42[t]*g44n[t]^2 - 5098711158970515754361064*lu1^9*f42[t]*g44n[t]^2 - 17987410403220971493227664*lu1^10*f42[t]*g44n[t]^2 + 89937349088044470771425184*lu1^11*f42[t]*g44n[t]^2 + 443612336759361812578761792*lu1^12*f42[t]*g44n[t]^2 + 428373120439736159951975040*lu1^13*f42[t]*g44n[t]^2 - 203573232647209187569900800*lu1^14*f42[t]*g44n[t]^2 - 291100167561153440568960000*lu1^15*f42[t]*g44n[t]^2 + 221*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]*(129529274040*Sqrt[14]*f42[t]* f44[t] - 8688197136240*Sqrt[14]*lu1*f42[t]*f44[t] + 147968473467780*Sqrt[14]*lu1^2*f42[t]*f44[t] + 2282724625597740* Sqrt[14]*lu1^3*f42[t]*f44[t] - 42962298806309400*Sqrt[14]*lu1^4* f42[t]*f44[t] - 225893012380461720*Sqrt[14]*lu1^5*f42[t]*f44[t] - 732826395746291340*Sqrt[14]*lu1^6*f42[t]*f44[t] + 10869136451128319580*Sqrt[14]*lu1^7*f42[t]*f44[t] + 275936114643493596840*Sqrt[14]*lu1^8*f42[t]*f44[t] + 423369480054804497280*Sqrt[14]*lu1^9*f42[t]*f44[t] - 700426359998938200960*Sqrt[14]*lu1^10*f42[t]*f44[t] - 1331986885750659816000*Sqrt[14]*lu1^11*f42[t]*f44[t] - 458425968342281712000*Sqrt[14]*lu1^12*f42[t]*f44[t] - 157621883414143680000*Sqrt[14]*lu1^13*f42[t]*f44[t] - 38750122980*Sqrt[42]*f22n[t]*f44n[t] + 3072500968320*Sqrt[42]*lu1* f22n[t]*f44n[t] - 39164988274560*Sqrt[42]*lu1^2*f22n[t]*f44n[t] - 1513787256057660*Sqrt[42]*lu1^3*f22n[t]*f44n[t] + 26110209557467620*Sqrt[42]*lu1^4*f22n[t]*f44n[t] + 132113294688173000*Sqrt[42]*lu1^5*f22n[t]*f44n[t] - 1429412344990314120*Sqrt[42]*lu1^6*f22n[t]*f44n[t] - 8692237739712803500*Sqrt[42]*lu1^7*f22n[t]*f44n[t] - 44613077332931151160*Sqrt[42]*lu1^8*f22n[t]*f44n[t] - 115704333140740134880*Sqrt[42]*lu1^9*f22n[t]*f44n[t] - 25544570584454746240*Sqrt[42]*lu1^10*f22n[t]*f44n[t] + 25412173792931332800*Sqrt[42]*lu1^11*f22n[t]*f44n[t] - 148084658874820432000*Sqrt[42]*lu1^12*f22n[t]*f44n[t] - 89939034598405440000*Sqrt[42]*lu1^13*f22n[t]*f44n[t] + 129529274040*Sqrt[14]*f42n[t]*f44n[t] - 8688197136240*Sqrt[14]*lu1* f42n[t]*f44n[t] + 147968473467780*Sqrt[14]*lu1^2*f42n[t]* f44n[t] + 2282724625597740*Sqrt[14]*lu1^3*f42n[t]*f44n[t] - 42962298806309400*Sqrt[14]*lu1^4*f42n[t]*f44n[t] - 225893012380461720*Sqrt[14]*lu1^5*f42n[t]*f44n[t] - 732826395746291340*Sqrt[14]*lu1^6*f42n[t]*f44n[t] + 10869136451128319580*Sqrt[14]*lu1^7*f42n[t]*f44n[t] + 275936114643493596840*Sqrt[14]*lu1^8*f42n[t]*f44n[t] + 423369480054804497280*Sqrt[14]*lu1^9*f42n[t]*f44n[t] - 700426359998938200960*Sqrt[14]*lu1^10*f42n[t]*f44n[t] - 1331986885750659816000*Sqrt[14]*lu1^11*f42n[t]*f44n[t] - 458425968342281712000*Sqrt[14]*lu1^12*f42n[t]*f44n[t] - 157621883414143680000*Sqrt[14]*lu1^13*f42n[t]*f44n[t] + 76068430830*f42[t]*g20[t] - 4872183970590*lu1*f42[t]*g20[t] + 31150213830450*lu1^2*f42[t]*g20[t] + 2496417754060350*lu1^3*f42[t]* g20[t] - 20623242149216790*lu1^4*f42[t]*g20[t] - 548504117726870650*lu1^5*f42[t]*g20[t] + 2210832566471160750*lu1^6* f42[t]*g20[t] + 52594625563623343490*lu1^7*f42[t]*g20[t] + 91954875793955711720*lu1^8*f42[t]*g20[t] - 494165995625998325320* lu1^9*f42[t]*g20[t] - 1800668878801955993440*lu1^10*f42[t]* g20[t] - 1312785765697615610400*lu1^11*f42[t]*g20[t] + 852865407272784752000*lu1^12*f42[t]*g20[t] + 867733386126850320000* lu1^13*f42[t]*g20[t] + 3613863600*Sqrt[42]*f44[t]*g22[t] - 681875251380*Sqrt[42]*lu1*f44[t]*g22[t] + 12220140303540*Sqrt[42]* lu1^2*f44[t]*g22[t] + 519617963483340*Sqrt[42]*lu1^3*f44[t]* g22[t] - 7808350589742420*Sqrt[42]*lu1^4*f44[t]*g22[t] - 119987254355458580*Sqrt[42]*lu1^5*f44[t]*g22[t] + 889338301414725420*Sqrt[42]*lu1^6*f44[t]*g22[t] + 11626248601907520820*Sqrt[42]*lu1^7*f44[t]*g22[t] + 12627857555067636100*Sqrt[42]*lu1^8*f44[t]*g22[t] - 61729527195972181880*Sqrt[42]*lu1^9*f44[t]*g22[t] - 61538905667268385280*Sqrt[42]*lu1^10*f44[t]*g22[t] + 235430955108511444800*Sqrt[42]*lu1^11*f44[t]*g22[t] + 377409763508654392000*Sqrt[42]*lu1^12*f44[t]*g22[t] + 130664867223822960000*Sqrt[42]*lu1^13*f44[t]*g22[t] + 386756370*Sqrt[3]*g20[t]*g22[t] - 22187004840*Sqrt[3]*lu1*g20[t]* g22[t] - 44072118090*Sqrt[3]*lu1^2*g20[t]*g22[t] + 18432205892100*Sqrt[3]*lu1^3*g20[t]*g22[t] - 131284257394290* Sqrt[3]*lu1^4*g20[t]*g22[t] - 4036279438150960*Sqrt[3]*lu1^5* g20[t]*g22[t] + 24749156850187770*Sqrt[3]*lu1^6*g20[t]*g22[t] + 361608262485890420*Sqrt[3]*lu1^7*g20[t]*g22[t] - 668817877386458800*Sqrt[3]*lu1^8*g20[t]*g22[t] - 8465622439814219680*Sqrt[3]*lu1^9*g20[t]*g22[t] - 12255771973871826400*Sqrt[3]*lu1^10*g20[t]*g22[t] + 14815902127818792000*Sqrt[3]*lu1^11*g20[t]*g22[t] + 43543180688047040000*Sqrt[3]*lu1^12*g20[t]*g22[t] + 24796526516361600000*Sqrt[3]*lu1^13*g20[t]*g22[t] + 3613863600*Sqrt[42]*f44n[t]*g22n[t] - 681875251380*Sqrt[42]*lu1* f44n[t]*g22n[t] + 12220140303540*Sqrt[42]*lu1^2*f44n[t]*g22n[t] + 519617963483340*Sqrt[42]*lu1^3*f44n[t]*g22n[t] - 7808350589742420*Sqrt[42]*lu1^4*f44n[t]*g22n[t] - 119987254355458580*Sqrt[42]*lu1^5*f44n[t]*g22n[t] + 889338301414725420*Sqrt[42]*lu1^6*f44n[t]*g22n[t] + 11626248601907520820*Sqrt[42]*lu1^7*f44n[t]*g22n[t] + 12627857555067636100*Sqrt[42]*lu1^8*f44n[t]*g22n[t] - 61729527195972181880*Sqrt[42]*lu1^9*f44n[t]*g22n[t] - 61538905667268385280*Sqrt[42]*lu1^10*f44n[t]*g22n[t] + 235430955108511444800*Sqrt[42]*lu1^11*f44n[t]*g22n[t] + 377409763508654392000*Sqrt[42]*lu1^12*f44n[t]*g22n[t] + 130664867223822960000*Sqrt[42]*lu1^13*f44n[t]*g22n[t] + 18698239098*Sqrt[5]*f42[t]*g40[t] + 3501327378978*Sqrt[5]*lu1* f42[t]*g40[t] - 70377788837466*Sqrt[5]*lu1^2*f42[t]*g40[t] - 1562976732137238*Sqrt[5]*lu1^3*f42[t]*g40[t] + 7401796250185458* Sqrt[5]*lu1^4*f42[t]*g40[t] + 55057576800381606*Sqrt[5]*lu1^5* f42[t]*g40[t] + 160116845983290306*Sqrt[5]*lu1^6*f42[t]*g40[t] + 94082308046238798*Sqrt[5]*lu1^7*f42[t]*g40[t] + 959516510409170604*Sqrt[5]*lu1^8*f42[t]*g40[t] - 24517218830498675424*Sqrt[5]*lu1^9*f42[t]*g40[t] - 188686462522539833280*Sqrt[5]*lu1^10*f42[t]*g40[t] - 434827154164096029600*Sqrt[5]*lu1^11*f42[t]*g40[t] - 305942427613341288000*Sqrt[5]*lu1^12*f42[t]*g40[t] - 8147327992261920000*Sqrt[5]*lu1^13*f42[t]*g40[t] - 160033725*Sqrt[15]*g22[t]*g40[t] - 2780525880*Sqrt[15]*lu1*g22[t]* g40[t] + 152240189985*Sqrt[15]*lu1^2*g22[t]*g40[t] + 11445101917290*Sqrt[15]*lu1^3*g22[t]*g40[t] - 94073345141835* Sqrt[15]*lu1^4*g22[t]*g40[t] - 2121254786109180*Sqrt[15]*lu1^5* g22[t]*g40[t] - 7456335590170425*Sqrt[15]*lu1^6*g22[t]*g40[t] + 70988017106163450*Sqrt[15]*lu1^7*g22[t]*g40[t] + 1543428432894087120*Sqrt[15]*lu1^8*g22[t]*g40[t] + 1492225795210342800*Sqrt[15]*lu1^9*g22[t]*g40[t] - 18061863442525578000*Sqrt[15]*lu1^10*g22[t]*g40[t] - 45175184783217228000*Sqrt[15]*lu1^11*g22[t]*g40[t] - 33615959127484080000*Sqrt[15]*lu1^12*g22[t]*g40[t] - 5970301358112000000*Sqrt[15]*lu1^13*g22[t]*g40[t] + 2319269760*Sqrt[14]*f44[t]*g42[t] + 606977200080*Sqrt[14]*lu1* f44[t]*g42[t] - 24221710072080*Sqrt[14]*lu1^2*f44[t]*g42[t] + 439570920078720*Sqrt[14]*lu1^3*f44[t]*g42[t] + 11854280531007360* Sqrt[14]*lu1^4*f44[t]*g42[t] + 20628638352435600*Sqrt[14]*lu1^5* f44[t]*g42[t] - 1064822675117850000*Sqrt[14]*lu1^6*f44[t]* g42[t] - 43962380333742240*Sqrt[14]*lu1^7*f44[t]*g42[t] + 14656778329451479200*Sqrt[14]*lu1^8*f44[t]*g42[t] + 13006905317648568000*Sqrt[14]*lu1^9*f44[t]*g42[t] - 40637959374287001600*Sqrt[14]*lu1^10*f44[t]*g42[t] - 49717869314878540800*Sqrt[14]*lu1^11*f44[t]*g42[t] + 6115949010345024000*Sqrt[14]*lu1^12*f44[t]*g42[t] + 13708678022363520000*Sqrt[14]*lu1^13*f44[t]*g42[t] + 450496485*g20[t]*g42[t] + 155771266860*lu1*g20[t]*g42[t] - 5137113829185*lu1^2*g20[t]*g42[t] - 38019357359010*lu1^3*g20[t]* g42[t] + 1862021753884575*lu1^4*g20[t]*g42[t] + 3024066454933560*lu1^5*g20[t]*g42[t] - 229485023004962655*lu1^6* g20[t]*g42[t] - 221864819676462570*lu1^7*g20[t]*g42[t] + 10209151443702471180*lu1^8*g20[t]*g42[t] + 14604912019443028200* lu1^9*g20[t]*g42[t] - 105412726272418191120*lu1^10*g20[t]* g42[t] - 315636285796146223200*lu1^11*g20[t]*g42[t] - 294893608355384664000*lu1^12*g20[t]*g42[t] - 86422920885559440000* lu1^13*g20[t]*g42[t] + 500145030*Sqrt[5]*g40[t]*g42[t] - 67806680634*Sqrt[5]*lu1*g40[t]*g42[t] + 988276113594*Sqrt[5]*lu1^2* g40[t]*g42[t] + 28432362399210*Sqrt[5]*lu1^3*g40[t]*g42[t] - 391793144216166*Sqrt[5]*lu1^4*g40[t]*g42[t] - 3893576893649982* Sqrt[5]*lu1^5*g40[t]*g42[t] + 34273786342161366*Sqrt[5]*lu1^6* g40[t]*g42[t] + 182928316261320630*Sqrt[5]*lu1^7*g40[t]*g42[t] - 839747272303702224*Sqrt[5]*lu1^8*g40[t]*g42[t] - 3894803505503623944*Sqrt[5]*lu1^9*g40[t]*g42[t] + 2870928362631178080*Sqrt[5]*lu1^10*g40[t]*g42[t] + 29235460211751578400*Sqrt[5]*lu1^11*g40[t]*g42[t] + 41002341746357376000*Sqrt[5]*lu1^12*g40[t]*g42[t] + 16924194010841040000*Sqrt[5]*lu1^13*g40[t]*g42[t] - 12*Sqrt[5]*f40[t]*(165*(-203562882 + 10782578412*lu1 - 120498754833*lu1^2 - 1516776149607*lu1^3 + 44035315891498* lu1^4 - 132567797796898*lu1^5 + 1415542215751147*lu1^6 - 4738394363792387*lu1^7 - 144469105129493522*lu1^8 - 477711383265481888*lu1^9 - 455948329678280800*lu1^10 + 236353158797066960*lu1^11 + 437390254465976800*lu1^12 + 32252472055664000*lu1^13)*f42[t] - 5*Sqrt[3]* (15472593 - 3676059234*lu1 + 114679903104*lu1^2 + 1296712624736* lu1^3 - 31581554855814*lu1^4 - 1256854151663716*lu1^5 + 3550623511828760*lu1^6 + 213354747822684272*lu1^7 + 921508382215574429*lu1^8 + 753957181884343158*lu1^9 - 3916502560121395696*lu1^10 - 7501404094918008480*lu1^11 - 3170452578227494800*lu1^12 + 196559503069524000*lu1^13)* g22[t] + 132*(6604065 - 1456252029*lu1 + 9358697154*lu1^2 + 1198373432620*lu1^3 + 563511274239*lu1^4 - 185001137879097* lu1^5 - 581478434998004*lu1^6 + 9086709670750710*lu1^7 + 15074149970997426*lu1^8 - 78682733657426044*lu1^9 - 112334679764177520*lu1^10 + 241517354731660800*lu1^11 + 470729769952100000*lu1^12 + 190069929229320000*lu1^13)* g42[t]) + 2319269760*Sqrt[14]*f44n[t]*g42n[t] + 606977200080*Sqrt[14]*lu1*f44n[t]*g42n[t] - 24221710072080* Sqrt[14]*lu1^2*f44n[t]*g42n[t] + 439570920078720*Sqrt[14]*lu1^3* f44n[t]*g42n[t] + 11854280531007360*Sqrt[14]*lu1^4*f44n[t]* g42n[t] + 20628638352435600*Sqrt[14]*lu1^5*f44n[t]*g42n[t] - 1064822675117850000*Sqrt[14]*lu1^6*f44n[t]*g42n[t] - 43962380333742240*Sqrt[14]*lu1^7*f44n[t]*g42n[t] + 14656778329451479200*Sqrt[14]*lu1^8*f44n[t]*g42n[t] + 13006905317648568000*Sqrt[14]*lu1^9*f44n[t]*g42n[t] - 40637959374287001600*Sqrt[14]*lu1^10*f44n[t]*g42n[t] - 49717869314878540800*Sqrt[14]*lu1^11*f44n[t]*g42n[t] + 6115949010345024000*Sqrt[14]*lu1^12*f44n[t]*g42n[t] + 13708678022363520000*Sqrt[14]*lu1^13*f44n[t]*g42n[t] + 12280619790*Sqrt[14]*f42[t]*g44[t] + 1617046518870*Sqrt[14]*lu1* f42[t]*g44[t] - 20166880871790*Sqrt[14]*lu1^2*f42[t]*g44[t] - 1321210879483410*Sqrt[14]*lu1^3*f42[t]*g44[t] - 4648674813885450*Sqrt[14]*lu1^4*f42[t]*g44[t] + 84411722692518210*Sqrt[14]*lu1^5*f42[t]*g44[t] + 1005642368723894310*Sqrt[14]*lu1^6*f42[t]*g44[t] - 3769804279199316870*Sqrt[14]*lu1^7*f42[t]*g44[t] - 18693906901928993340*Sqrt[14]*lu1^8*f42[t]*g44[t] + 1803022673933766240*Sqrt[14]*lu1^9*f42[t]*g44[t] + 111237150076813932480*Sqrt[14]*lu1^10*f42[t]*g44[t] + 186740647023299565600*Sqrt[14]*lu1^11*f42[t]*g44[t] + 36804240665410248000*Sqrt[14]*lu1^12*f42[t]*g44[t] - 81428437776924000000*Sqrt[14]*lu1^13*f42[t]*g44[t] - 118334925*Sqrt[42]*g22[t]*g44[t] + 28591797960*Sqrt[42]*lu1*g22[t]* g44[t] - 529871869215*Sqrt[42]*lu1^2*g22[t]*g44[t] - 15634852418430*Sqrt[42]*lu1^3*g22[t]*g44[t] + 248031066816045* Sqrt[42]*lu1^4*g22[t]*g44[t] + 2519702208827940*Sqrt[42]*lu1^5* g22[t]*g44[t] - 24972356532784905*Sqrt[42]*lu1^6*g22[t]*g44[t] - 158832306594570030*Sqrt[42]*lu1^7*g22[t]*g44[t] + 620882038878160440*Sqrt[42]*lu1^8*g22[t]*g44[t] + 4615376700472170240*Sqrt[42]*lu1^9*g22[t]*g44[t] + 4285435103465720880*Sqrt[42]*lu1^10*g22[t]*g44[t] - 12730443963503148000*Sqrt[42]*lu1^11*g22[t]*g44[t] - 26185250231315808000*Sqrt[42]*lu1^12*g22[t]*g44[t] - 13158866630800800000*Sqrt[42]*lu1^13*g22[t]*g44[t] - 191778030*Sqrt[14]*g42[t]*g44[t] - 15957676350*Sqrt[14]*lu1*g42[t]* g44[t] + 677541434670*Sqrt[14]*lu1^2*g42[t]*g44[t] + 11134885946670*Sqrt[14]*lu1^3*g42[t]*g44[t] - 315300378386610* Sqrt[14]*lu1^4*g42[t]*g44[t] - 1643544297058410*Sqrt[14]*lu1^5* g42[t]*g44[t] + 34845000478667010*Sqrt[14]*lu1^6*g42[t]*g44[t] + 79947142667101170*Sqrt[14]*lu1^7*g42[t]*g44[t] - 1201375999894299120*Sqrt[14]*lu1^8*g42[t]*g44[t] - 2454945936486168600*Sqrt[14]*lu1^9*g42[t]*g44[t] + 11149628589800278560*Sqrt[14]*lu1^10*g42[t]*g44[t] + 39528140313452680800*Sqrt[14]*lu1^11*g42[t]*g44[t] + 40093131651896448000*Sqrt[14]*lu1^12*g42[t]*g44[t] + 11698739505678960000*Sqrt[14]*lu1^13*g42[t]*g44[t] + 10*Sqrt[3]*f22[t]*(6*Sqrt[5]*(547701507 - 16827838488*lu1 - 233329152120*lu1^2 + 16301044526213*lu1^3 - 455681672895683* lu1^4 + 5047294512859010*lu1^5 + 5502771194325630*lu1^6 - 461215567947722967*lu1^7 - 2619566908107158550*lu1^8 - 4327640946088351544*lu1^9 + 8339716475846900768*lu1^10 + 23052748463589522160*lu1^11 + 12971048022867266400*lu1^12 + 1256677137508464000*lu1^13)*f40[t] - 2*Sqrt[14]* (1937506149 - 153625048416*lu1 + 1958249413728*lu1^2 + 75689362802883*lu1^3 - 1305510477873381*lu1^4 - 6605664734408650*lu1^5 + 71470617249515706*lu1^6 + 434611886985640175*lu1^7 + 2230653866646557558*lu1^8 + 5785216657037006744*lu1^9 + 1277228529222737312*lu1^10 - 1270608689646566640*lu1^11 + 7404232943741021600*lu1^12 + 4496951729920272000*lu1^13)*f44[t] - 40934322*g20[t] + 23696663562*lu1*g20[t] - 545697315306*lu1^2*g20[t] - 16817176822446*lu1^3*g20[t] + 329778382507002*lu1^4*g20[t] + 1354765033324846*lu1^5*g20[t] - 28994448496373646*lu1^6*g20[t] + 39619566556836838*lu1^7*g20[t] + 936317427385205008*lu1^8* g20[t] + 3919122283626247984*lu1^9*g20[t] - 11956952397151979360*lu1^10*g20[t] - 34776536481184212000*lu1^11* g20[t] - 19671412608408704000*lu1^12*g20[t] - 1635407055522240000*lu1^13*g20[t] + 761104431*Sqrt[5]*g40[t] + 25912664235*Sqrt[5]*lu1*g40[t] - 850975005411*Sqrt[5]*lu1^2* g40[t] - 37410246425979*Sqrt[5]*lu1^3*g40[t] + 93039309087477*Sqrt[5]*lu1^4*g40[t] - 751150178641983*Sqrt[5]* lu1^5*g40[t] + 21828837829564635*Sqrt[5]*lu1^6*g40[t] + 16597460159096043*Sqrt[5]*lu1^7*g40[t] - 403660839782937948* Sqrt[5]*lu1^8*g40[t] - 1588018301041867116*Sqrt[5]*lu1^9* g40[t] - 375893151506338080*Sqrt[5]*lu1^10*g40[t] + 1373791908082144560*Sqrt[5]*lu1^11*g40[t] - 760333905614352000* Sqrt[5]*lu1^12*g40[t] - 990610321182552000*Sqrt[5]*lu1^13* g40[t] - 44383707*Sqrt[14]*g44[t] - 31447002519*Sqrt[14]*lu1* g44[t] + 610014325455*Sqrt[14]*lu1^2*g44[t] + 18532223597799*Sqrt[14]*lu1^3*g44[t] - 157717692236937*Sqrt[14]* lu1^4*g44[t] - 1200967700354373*Sqrt[14]*lu1^5*g44[t] + 6241867323316377*Sqrt[14]*lu1^6*g44[t] + 65420032410274665* Sqrt[14]*lu1^7*g44[t] - 277895877420476292*Sqrt[14]*lu1^8* g44[t] - 1378525260048615204*Sqrt[14]*lu1^9*g44[t] + 2582157113738954592*Sqrt[14]*lu1^10*g44[t] + 13393923965038991760*Sqrt[14]*lu1^11*g44[t] + 14865464378898729600*Sqrt[14]*lu1^12*g44[t] + 4975058074106232000*Sqrt[14]*lu1^13*g44[t]) - 443837070*Sqrt[42]*f22n[t]*g44n[t] - 314470025190*Sqrt[42]*lu1* f22n[t]*g44n[t] + 6100143254550*Sqrt[42]*lu1^2*f22n[t]*g44n[t] + 185322235977990*Sqrt[42]*lu1^3*f22n[t]*g44n[t] - 1577176922369370*Sqrt[42]*lu1^4*f22n[t]*g44n[t] - 12009677003543730*Sqrt[42]*lu1^5*f22n[t]*g44n[t] + 62418673233163770*Sqrt[42]*lu1^6*f22n[t]*g44n[t] + 654200324102746650*Sqrt[42]*lu1^7*f22n[t]*g44n[t] - 2778958774204762920*Sqrt[42]*lu1^8*f22n[t]*g44n[t] - 13785252600486152040*Sqrt[42]*lu1^9*f22n[t]*g44n[t] + 25821571137389545920*Sqrt[42]*lu1^10*f22n[t]*g44n[t] + 133939239650389917600*Sqrt[42]*lu1^11*f22n[t]*g44n[t] + 148654643788987296000*Sqrt[42]*lu1^12*f22n[t]*g44n[t] + 49750580741062320000*Sqrt[42]*lu1^13*f22n[t]*g44n[t] + 12280619790*Sqrt[14]*f42n[t]*g44n[t] + 1617046518870*Sqrt[14]*lu1* f42n[t]*g44n[t] - 20166880871790*Sqrt[14]*lu1^2*f42n[t]*g44n[t] - 1321210879483410*Sqrt[14]*lu1^3*f42n[t]*g44n[t] - 4648674813885450*Sqrt[14]*lu1^4*f42n[t]*g44n[t] + 84411722692518210*Sqrt[14]*lu1^5*f42n[t]*g44n[t] + 1005642368723894310*Sqrt[14]*lu1^6*f42n[t]*g44n[t] - 3769804279199316870*Sqrt[14]*lu1^7*f42n[t]*g44n[t] - 18693906901928993340*Sqrt[14]*lu1^8*f42n[t]*g44n[t] + 1803022673933766240*Sqrt[14]*lu1^9*f42n[t]*g44n[t] + 111237150076813932480*Sqrt[14]*lu1^10*f42n[t]*g44n[t] + 186740647023299565600*Sqrt[14]*lu1^11*f42n[t]*g44n[t] + 36804240665410248000*Sqrt[14]*lu1^12*f42n[t]*g44n[t] - 81428437776924000000*Sqrt[14]*lu1^13*f42n[t]*g44n[t] - 118334925*Sqrt[42]*g22n[t]*g44n[t] + 28591797960*Sqrt[42]*lu1* g22n[t]*g44n[t] - 529871869215*Sqrt[42]*lu1^2*g22n[t]*g44n[t] - 15634852418430*Sqrt[42]*lu1^3*g22n[t]*g44n[t] + 248031066816045*Sqrt[42]*lu1^4*g22n[t]*g44n[t] + 2519702208827940*Sqrt[42]*lu1^5*g22n[t]*g44n[t] - 24972356532784905*Sqrt[42]*lu1^6*g22n[t]*g44n[t] - 158832306594570030*Sqrt[42]*lu1^7*g22n[t]*g44n[t] + 620882038878160440*Sqrt[42]*lu1^8*g22n[t]*g44n[t] + 4615376700472170240*Sqrt[42]*lu1^9*g22n[t]*g44n[t] + 4285435103465720880*Sqrt[42]*lu1^10*g22n[t]*g44n[t] - 12730443963503148000*Sqrt[42]*lu1^11*g22n[t]*g44n[t] - 26185250231315808000*Sqrt[42]*lu1^12*g22n[t]*g44n[t] - 13158866630800800000*Sqrt[42]*lu1^13*g22n[t]*g44n[t] - 191778030*Sqrt[14]*g42n[t]*g44n[t] - 15957676350*Sqrt[14]*lu1* g42n[t]*g44n[t] + 677541434670*Sqrt[14]*lu1^2*g42n[t]*g44n[t] + 11134885946670*Sqrt[14]*lu1^3*g42n[t]*g44n[t] - 315300378386610*Sqrt[14]*lu1^4*g42n[t]*g44n[t] - 1643544297058410*Sqrt[14]*lu1^5*g42n[t]*g44n[t] + 34845000478667010*Sqrt[14]*lu1^6*g42n[t]*g44n[t] + 79947142667101170*Sqrt[14]*lu1^7*g42n[t]*g44n[t] - 1201375999894299120*Sqrt[14]*lu1^8*g42n[t]*g44n[t] - 2454945936486168600*Sqrt[14]*lu1^9*g42n[t]*g44n[t] + 11149628589800278560*Sqrt[14]*lu1^10*g42n[t]*g44n[t] + 39528140313452680800*Sqrt[14]*lu1^11*g42n[t]*g44n[t] + 40093131651896448000*Sqrt[14]*lu1^12*g42n[t]*g44n[t] + 11698739505678960000*Sqrt[14]*lu1^13*g42n[t]*g44n[t]) + 221*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]* (21450*Sqrt[3]*(976293 - 83881062*lu1 + 878227839*lu1^2 + 57909811812*lu1^3 - 924487206737*lu1^4 - 6214858033574*lu1^5 + 107757495234481*lu1^6 + 181148021822648*lu1^7 - 2310070791837076*lu1^8 - 1428252123465904*lu1^9 + 27014578479138160*lu1^10 + 66346845583648000*lu1^11 + 56674765323304000*lu1^12 + 16268547519840000*lu1^13)*f22n[t]^2 + 300*Sqrt[3]*(74193381 + 10605640599*lu1 - 334132509957*lu1^2 - 6938623742639*lu1^3 + 50080910486163*lu1^4 + 1232244022344593* lu1^5 - 6750171788014451*lu1^6 + 72075754042087319*lu1^7 + 289584101681668736*lu1^8 + 454093791626185408*lu1^9 + 873521055478037408*lu1^10 + 81704057172254160*lu1^11 - 997100289757841600*lu1^12 + 22176355107648000*lu1^13)*f40[t]^2 - 370451151000*Sqrt[3]*f42[t]^2 + 18265628876400*Sqrt[3]*lu1* f42[t]^2 - 211731850607400*Sqrt[3]*lu1^2*f42[t]^2 - 2499517419741600*Sqrt[3]*lu1^3*f42[t]^2 + 81698226156598200* Sqrt[3]*lu1^4*f42[t]^2 - 163438837404426000*Sqrt[3]*lu1^5* f42[t]^2 + 3876392151087777000*Sqrt[3]*lu1^6*f42[t]^2 - 34669850583238459200*Sqrt[3]*lu1^7*f42[t]^2 - 534450065565874946400*Sqrt[3]*lu1^8*f42[t]^2 - 1075847839487050147200*Sqrt[3]*lu1^9*f42[t]^2 + 156130186969200931200*Sqrt[3]*lu1^10*f42[t]^2 + 1768365353530191744000*Sqrt[3]*lu1^11*f42[t]^2 + 1207150717862527680000*Sqrt[3]*lu1^12*f42[t]^2 + 210499819425772800000*Sqrt[3]*lu1^13*f42[t]^2 - 289661780160*Sqrt[3]*f42n[t]^2 + 9031088171160*Sqrt[3]*lu1* f42n[t]^2 + 52135783010280*Sqrt[3]*lu1^2*f42n[t]^2 + 2034621248778240*Sqrt[3]*lu1^3*f42n[t]^2 + 17369431923636000* Sqrt[3]*lu1^4*f42n[t]^2 - 1106328173089292520*Sqrt[3]*lu1^5* f42n[t]^2 + 3182115005976912360*Sqrt[3]*lu1^6*f42n[t]^2 + 4450719382306931280*Sqrt[3]*lu1^7*f42n[t]^2 + 226016952172337983440*Sqrt[3]*lu1^8*f42n[t]^2 - 414870363156612213120*Sqrt[3]*lu1^9*f42n[t]^2 - 3210054965799203967360*Sqrt[3]*lu1^10*f42n[t]^2 - 2637802819610031168000*Sqrt[3]*lu1^11*f42n[t]^2 + 272636169679187808000*Sqrt[3]*lu1^12*f42n[t]^2 - 300926029142954880000*Sqrt[3]*lu1^13*f42n[t]^2 + 919171479240*Sqrt[3]*f44[t]^2 - 44673111320040*Sqrt[3]*lu1* f44[t]^2 + 455533014532680*Sqrt[3]*lu1^2*f44[t]^2 + 5030345422158840*Sqrt[3]*lu1^3*f44[t]^2 - 184992255692853000* Sqrt[3]*lu1^4*f44[t]^2 + 817980985732795080*Sqrt[3]*lu1^5* f44[t]^2 - 8524159948557272040*Sqrt[3]*lu1^6*f44[t]^2 + 51957404103188167080*Sqrt[3]*lu1^7*f44[t]^2 + 860305342680524156640*Sqrt[3]*lu1^8*f44[t]^2 + 2337457162753271354880*Sqrt[3]*lu1^9*f44[t]^2 + 1653072058832126634240*Sqrt[3]*lu1^10*f44[t]^2 - 1794536305421480208000*Sqrt[3]*lu1^11*f44[t]^2 - 2396638824226278912000*Sqrt[3]*lu1^12*f44[t]^2 - 224817557111105280000*Sqrt[3]*lu1^13*f44[t]^2 + 919171479240*Sqrt[3]*f44n[t]^2 - 44673111320040*Sqrt[3]*lu1* f44n[t]^2 + 455533014532680*Sqrt[3]*lu1^2*f44n[t]^2 + 5030345422158840*Sqrt[3]*lu1^3*f44n[t]^2 - 184992255692853000* Sqrt[3]*lu1^4*f44n[t]^2 + 817980985732795080*Sqrt[3]*lu1^5* f44n[t]^2 - 8524159948557272040*Sqrt[3]*lu1^6*f44n[t]^2 + 51957404103188167080*Sqrt[3]*lu1^7*f44n[t]^2 + 860305342680524156640*Sqrt[3]*lu1^8*f44n[t]^2 + 2337457162753271354880*Sqrt[3]*lu1^9*f44n[t]^2 + 1653072058832126634240*Sqrt[3]*lu1^10*f44n[t]^2 - 1794536305421480208000*Sqrt[3]*lu1^11*f44n[t]^2 - 2396638824226278912000*Sqrt[3]*lu1^12*f44n[t]^2 - 224817557111105280000*Sqrt[3]*lu1^13*f44n[t]^2 - 2390563530*Sqrt[42]*f44[t]*g20[t] - 602198367210*Sqrt[42]*lu1* f44[t]*g20[t] + 16299434407230*Sqrt[42]*lu1^2*f44[t]*g20[t] + 469710653965170*Sqrt[42]*lu1^3*f44[t]*g20[t] - 6710539250325810* Sqrt[42]*lu1^4*f44[t]*g20[t] - 89605567749102950*Sqrt[42]*lu1^5* f44[t]*g20[t] + 361593573047951970*Sqrt[42]*lu1^6*f44[t]*g20[t] + 4845012501966079630*Sqrt[42]*lu1^7*f44[t]*g20[t] + 16769559953911971100*Sqrt[42]*lu1^8*f44[t]*g20[t] + 13834706741935981360*Sqrt[42]*lu1^9*f44[t]*g20[t] - 83405939842552619840*Sqrt[42]*lu1^10*f44[t]*g20[t] - 130127889309123194400*Sqrt[42]*lu1^11*f44[t]*g20[t] - 28606924117376648000*Sqrt[42]*lu1^12*f44[t]*g20[t] + 93898248299520000*Sqrt[42]*lu1^13*f44[t]*g20[t] - 683860320*Sqrt[3]*g20[t]^2 + 20195307990*Sqrt[3]*lu1*g20[t]^2 + 661442736240*Sqrt[3]*lu1^2*g20[t]^2 - 17003173537350*Sqrt[3]*lu1^3* g20[t]^2 - 220923727227060*Sqrt[3]*lu1^4*g20[t]^2 + 3834869939996810*Sqrt[3]*lu1^5*g20[t]^2 + 44456964251408280* Sqrt[3]*lu1^6*g20[t]^2 - 227988572590005370*Sqrt[3]*lu1^7* g20[t]^2 - 4072638222526287700*Sqrt[3]*lu1^8*g20[t]^2 - 11968996769440659520*Sqrt[3]*lu1^9*g20[t]^2 + 17197038960477490400* Sqrt[3]*lu1^10*g20[t]^2 + 74960232889100988000*Sqrt[3]*lu1^11* g20[t]^2 + 59190796528137560000*Sqrt[3]*lu1^12*g20[t]^2 + 8660763473762400000*Sqrt[3]*lu1^13*g20[t]^2 + 121394270700*f42[t]* g22[t] - 16128863310060*lu1*f42[t]*g22[t] + 213525979292340*lu1^2* f42[t]*g22[t] + 10890571707827820*lu1^3*f42[t]*g22[t] - 118440723568339740*lu1^4*f42[t]*g22[t] - 1658137066155664260*lu1^5* f42[t]*g22[t] + 8409090505249939980*lu1^6*f42[t]*g22[t] + 58569049661044120980*lu1^7*f42[t]*g22[t] - 142504843184354308560* lu1^8*f42[t]*g22[t] - 1398148873871315132880*lu1^9*f42[t]* g22[t] - 2375385310976242777920*lu1^10*f42[t]*g22[t] + 784598164063118424000*lu1^11*f42[t]*g22[t] + 4019538799090855392000*lu1^12*f42[t]*g22[t] + 1879987583839226400000*lu1^13*f42[t]*g22[t] - 594207900*Sqrt[3]* g22[t]^2 - 3983393700*Sqrt[3]*lu1*g22[t]^2 + 1234741236300* Sqrt[3]*lu1^2*g22[t]^2 + 2858064709500*Sqrt[3]*lu1^3*g22[t]^2 - 704415969242700*Sqrt[3]*lu1^4*g22[t]^2 - 402818996308300*Sqrt[3]* lu1^5*g22[t]^2 + 138412242203192100*Sqrt[3]*lu1^6*g22[t]^2 + 267239379791770100*Sqrt[3]*lu1^7*g22[t]^2 - 9482912199825493000* Sqrt[3]*lu1^8*g22[t]^2 - 40869238418509758400*Sqrt[3]*lu1^9* g22[t]^2 + 9882533973211328000*Sqrt[3]*lu1^10*g22[t]^2 + 179552270033839560000*Sqrt[3]*lu1^11*g22[t]^2 + 205467954432369200000*Sqrt[3]*lu1^12*g22[t]^2 + 66914579980248000000*Sqrt[3]*lu1^13*g22[t]^2 + 29284297740*f42n[t]* g22n[t] - 9193829673780*lu1*f42n[t]*g22n[t] + 138449604493980*lu1^2*f42n[t]*g22n[t] + 7798729354096740*lu1^3* f42n[t]*g22n[t] - 74811375028888020*lu1^4*f42n[t]*g22n[t] - 1355423273344331580*lu1^5*f42n[t]*g22n[t] + 3569275423412409540* lu1^6*f42n[t]*g22n[t] + 55079993955372979260*lu1^7*f42n[t]* g22n[t] + 108429080836353463080*lu1^8*f42n[t]*g22n[t] - 273684762382853021040*lu1^9*f42n[t]*g22n[t] + 1441575943168284480* lu1^10*f42n[t]*g22n[t] + 3112527262173220920000*lu1^11*f42n[t]* g22n[t] + 4330772170741695792000*lu1^12*f42n[t]*g22n[t] + 1304422803993808800000*lu1^13*f42n[t]*g22n[t] + 386756370*Sqrt[3]*g22n[t]^2 - 22187004840*Sqrt[3]*lu1*g22n[t]^2 - 44072118090*Sqrt[3]*lu1^2*g22n[t]^2 + 18432205892100*Sqrt[3]*lu1^3* g22n[t]^2 - 131284257394290*Sqrt[3]*lu1^4*g22n[t]^2 - 4036279438150960*Sqrt[3]*lu1^5*g22n[t]^2 + 24749156850187770* Sqrt[3]*lu1^6*g22n[t]^2 + 361608262485890420*Sqrt[3]*lu1^7* g22n[t]^2 - 668817877386458800*Sqrt[3]*lu1^8*g22n[t]^2 - 8465622439814219680*Sqrt[3]*lu1^9*g22n[t]^2 - 12255771973871826400* Sqrt[3]*lu1^10*g22n[t]^2 + 14815902127818792000*Sqrt[3]*lu1^11* g22n[t]^2 + 43543180688047040000*Sqrt[3]*lu1^12*g22n[t]^2 + 24796526516361600000*Sqrt[3]*lu1^13*g22n[t]^2 + 10158074568*Sqrt[210]*f44[t]*g40[t] + 916427635668*Sqrt[210]*lu1* f44[t]*g40[t] - 20170893979476*Sqrt[210]*lu1^2*f44[t]*g40[t] - 484093067926068*Sqrt[210]*lu1^3*f44[t]*g40[t] + 1122917284035108*Sqrt[210]*lu1^4*f44[t]*g40[t] + 9857232622832556*Sqrt[210]*lu1^5*f44[t]*g40[t] + 156259646712204276*Sqrt[210]*lu1^6*f44[t]*g40[t] + 81634666495899348*Sqrt[210]*lu1^7*f44[t]*g40[t] - 3300840453837998796*Sqrt[210]*lu1^8*f44[t]*g40[t] - 8834198792885686944*Sqrt[210]*lu1^9*f44[t]*g40[t] + 21757371395855700480*Sqrt[210]*lu1^10*f44[t]*g40[t] + 81493786801490284800*Sqrt[210]*lu1^11*f44[t]*g40[t] + 62856858926818392000*Sqrt[210]*lu1^12*f44[t]*g40[t] + 4573239152647200000*Sqrt[210]*lu1^13*f44[t]*g40[t] - 371702520*Sqrt[15]*g20[t]*g40[t] + 24581068380*Sqrt[15]*lu1*g20[t]* g40[t] - 144529641360*Sqrt[15]*lu1^2*g20[t]*g40[t] - 4528084965480*Sqrt[15]*lu1^3*g20[t]*g40[t] + 26649984910620* Sqrt[15]*lu1^4*g20[t]*g40[t] + 577383396638340*Sqrt[15]*lu1^5* g20[t]*g40[t] - 7332313598453880*Sqrt[15]*lu1^6*g20[t]*g40[t] - 82563119526950640*Sqrt[15]*lu1^7*g20[t]*g40[t] + 599701660358355780*Sqrt[15]*lu1^8*g20[t]*g40[t] + 4605828372560279160*Sqrt[15]*lu1^9*g20[t]*g40[t] + 4601861156697311520*Sqrt[15]*lu1^10*g20[t]*g40[t] - 10009807668708475200*Sqrt[15]*lu1^11*g20[t]*g40[t] - 20627776630448568000*Sqrt[15]*lu1^12*g20[t]*g40[t] - 10132804505700240000*Sqrt[15]*lu1^13*g20[t]*g40[t] - 82395225*Sqrt[3]*g40[t]^2 + 18292622040*Sqrt[3]*lu1*g40[t]^2 - 272928861315*Sqrt[3]*lu1^2*g40[t]^2 - 15046344606150*Sqrt[3]*lu1^3* g40[t]^2 + 176221294871985*Sqrt[3]*lu1^4*g40[t]^2 + 2435854593101820*Sqrt[3]*lu1^5*g40[t]^2 - 14325395878630485* Sqrt[3]*lu1^6*g40[t]^2 - 108066267978997350*Sqrt[3]*lu1^7* g40[t]^2 + 178603496644032240*Sqrt[3]*lu1^8*g40[t]^2 + 2195145074371559640*Sqrt[3]*lu1^9*g40[t]^2 + 1785947975941786800* Sqrt[3]*lu1^10*g40[t]^2 - 9682128238991076000*Sqrt[3]*lu1^11* g40[t]^2 - 17127127206940080000*Sqrt[3]*lu1^12*g40[t]^2 - 6081157045378800000*Sqrt[3]*lu1^13*g40[t]^2 - 29277540720*Sqrt[3]* f42[t]*g42[t] - 5464157391360*Sqrt[3]*lu1*f42[t]*g42[t] + 98720198876880*Sqrt[3]*lu1^2*f42[t]*g42[t] + 3044854065030720* Sqrt[3]*lu1^3*f42[t]*g42[t] - 9281517791286480*Sqrt[3]*lu1^4* f42[t]*g42[t] - 254038940337615360*Sqrt[3]*lu1^5*f42[t]*g42[t] - 738984631828475280*Sqrt[3]*lu1^6*f42[t]*g42[t] + 9774662638522265280*Sqrt[3]*lu1^7*f42[t]*g42[t] + 21151570519460659200*Sqrt[3]*lu1^8*f42[t]*g42[t] - 65704516333817729280*Sqrt[3]*lu1^9*f42[t]*g42[t] - 141471950850925689600*Sqrt[3]*lu1^10*f42[t]*g42[t] + 166955588464643328000*Sqrt[3]*lu1^11*f42[t]*g42[t] + 438309060729369600000*Sqrt[3]*lu1^12*f42[t]*g42[t] + 190958239411968000000*Sqrt[3]*lu1^13*f42[t]*g42[t] + 3384666810*g22[t]*g42[t] + 411293832840*lu1*g22[t]*g42[t] - 15653597751090*lu1^2*g22[t]*g42[t] - 217699425155700*lu1^3*g22[t]* g42[t] + 6688531933982670*lu1^4*g22[t]*g42[t] + 30152853501579840*lu1^5*g22[t]*g42[t] - 735507945467808270*lu1^6* g22[t]*g42[t] - 1534648463141170980*lu1^7*g22[t]*g42[t] + 25001088373187093400*lu1^8*g22[t]*g42[t] + 41539608965193775440* lu1^9*g22[t]*g42[t] - 242175421861735184160*lu1^10*g22[t]* g42[t] - 779731464623269272000*lu1^11*g22[t]*g42[t] - 776079318638775984000*lu1^12*g22[t]*g42[t] - 247416923250151200000* lu1^13*g22[t]*g42[t] + 39584700*Sqrt[3]*g42[t]^2 + 37886531760*Sqrt[3]*lu1*g42[t]^2 - 1066259974860*Sqrt[3]*lu1^2* g42[t]^2 - 15169805785800*Sqrt[3]*lu1^3*g42[t]^2 + 422769977661540*Sqrt[3]*lu1^4*g42[t]^2 + 1915573118911680*Sqrt[3]* lu1^5*g42[t]^2 - 46329077026621140*Sqrt[3]*lu1^6*g42[t]^2 - 98282810192413800*Sqrt[3]*lu1^7*g42[t]^2 + 1678596172046640960* Sqrt[3]*lu1^8*g42[t]^2 + 3055389285821760960*Sqrt[3]*lu1^9* g42[t]^2 - 15872122583502676800*Sqrt[3]*lu1^10*g42[t]^2 - 52988191213711056000*Sqrt[3]*lu1^11*g42[t]^2 - 53574789368172480000*Sqrt[3]*lu1^12*g42[t]^2 - 17245700792409600000*Sqrt[3]*lu1^13*g42[t]^2 + 20080805580*Sqrt[3]* f42n[t]*g42n[t] - 3134710470060*Sqrt[3]*lu1*f42n[t]*g42n[t] + 18997733773260*Sqrt[3]*lu1^2*f42n[t]*g42n[t] + 3130537469443380* Sqrt[3]*lu1^3*f42n[t]*g42n[t] + 9440032409077380*Sqrt[3]*lu1^4* f42n[t]*g42n[t] - 238269247614622500*Sqrt[3]*lu1^5*f42n[t]* g42n[t] - 1903438286070761820*Sqrt[3]*lu1^6*f42n[t]*g42n[t] + 11002299715396141020*Sqrt[3]*lu1^7*f42n[t]*g42n[t] + 26775393465821434560*Sqrt[3]*lu1^8*f42n[t]*g42n[t] - 112333602629776890240*Sqrt[3]*lu1^9*f42n[t]*g42n[t] + 160380274794098494080*Sqrt[3]*lu1^10*f42n[t]*g42n[t] + 1527702997240428244800*Sqrt[3]*lu1^11*f42n[t]*g42n[t] + 1665964760886764832000*Sqrt[3]*lu1^12*f42n[t]*g42n[t] + 273199146993803520000*Sqrt[3]*lu1^13*f42n[t]*g42n[t] - 2123715510*g22n[t]*g42n[t] + 269238816000*lu1*g22n[t]*g42n[t] - 3833016240690*lu1^2*g22n[t]*g42n[t] - 105791236504380*lu1^3* g22n[t]*g42n[t] + 1492470134250270*lu1^4*g22n[t]*g42n[t] + 14805417336607800*lu1^5*g22n[t]*g42n[t] - 138200275356480750*lu1^6* g22n[t]*g42n[t] - 801323112590077980*lu1^7*g22n[t]*g42n[t] + 2520378686177663640*lu1^8*g22n[t]*g42n[t] + 9304628608102964640* lu1^9*g22n[t]*g42n[t] + 38619305527546729440*lu1^10*g22n[t]* g42n[t] + 149615286048634056000*lu1^11*g22n[t]*g42n[t] + 205006346639163216000*lu1^12*g22n[t]*g42n[t] + 82952415372153600000*lu1^13*g22n[t]*g42n[t] - 1196704530*Sqrt[3]* g42n[t]^2 + 54498781260*Sqrt[3]*lu1*g42n[t]^2 + 320610960810*Sqrt[3]*lu1^2*g42n[t]^2 - 8792790889680*Sqrt[3]*lu1^3* g42n[t]^2 - 271049747591070*Sqrt[3]*lu1^4*g42n[t]^2 + 757162760588220*Sqrt[3]*lu1^5*g42n[t]^2 + 41431980034877670* Sqrt[3]*lu1^6*g42n[t]^2 - 31298110532629080*Sqrt[3]*lu1^7* g42n[t]^2 - 1815260489937807360*Sqrt[3]*lu1^8*g42n[t]^2 - 1173217612708609440*Sqrt[3]*lu1^9*g42n[t]^2 + 22853299740177214560* Sqrt[3]*lu1^10*g42n[t]^2 + 58840011761600764800*Sqrt[3]*lu1^11* g42n[t]^2 + 45580167392981088000*Sqrt[3]*lu1^12*g42n[t]^2 + 6293020566087360000*Sqrt[3]*lu1^13*g42n[t]^2 - 60*(1 + 2*lu1)*f22n[t]*(30*(310650957 - 21927912777*lu1 + 259470858255*lu1^2 + 10979859199627*lu1^3 - 242108737245387* lu1^4 + 289421196797069*lu1^5 + 9042831161886029*lu1^6 - 21411122444032407*lu1^7 - 5791885294510310*lu1^8 + 193780734457602520*lu1^9 + 814556656718499720*lu1^10 + 1093654158305870000*lu1^11 + 359601804214296000*lu1^12)* f42n[t] + 143*Sqrt[3]*(320841 - 57535623*lu1 + 1029130839* lu1^2 + 46108213545*lu1^3 - 822264865051*lu1^4 - 8371977474561*lu1^5 + 115397454004325*lu1^6 + 628677384019811* lu1^7 - 3016794919034626*lu1^8 - 4022804585751460*lu1^9 + 22662026529159000*lu1^10 + 41909765249276000*lu1^11 + 17537616317760000*lu1^12)*g22n[t] - 30*(-18630324 - 2468024181* lu1 + 60790589649*lu1^2 + 1816062929439*lu1^3 - 15427800563009*lu1^4 - 28555918091089*lu1^5 - 7538910893145* lu1^6 + 3758049427447289*lu1^7 - 16474990364863139*lu1^8 - 20124133418273274*lu1^9 + 209464193768279920*lu1^10 + 389571195526665800*lu1^11 + 165789422328138000*lu1^12)* g42n[t]) + 38396514240*Sqrt[3]*f44[t]*g44[t] + 13046915299320*Sqrt[3]*lu1*f44[t]*g44[t] - 206495114537880*Sqrt[3]* lu1^2*f44[t]*g44[t] - 7938671453283480*Sqrt[3]*lu1^3*f44[t]* g44[t] + 14252696816452920*Sqrt[3]*lu1^4*f44[t]*g44[t] + 702388910042145480*Sqrt[3]*lu1^5*f44[t]*g44[t] + 2524062305111325720*Sqrt[3]*lu1^6*f44[t]*g44[t] - 28404495672984524520*Sqrt[3]*lu1^7*f44[t]*g44[t] - 56001221130237122040*Sqrt[3]*lu1^8*f44[t]*g44[t] + 207657974946759288000*Sqrt[3]*lu1^9*f44[t]*g44[t] + 122290057461881057280*Sqrt[3]*lu1^10*f44[t]*g44[t] - 1420613030288229523200*Sqrt[3]*lu1^11*f44[t]*g44[t] - 2018433442264623888000*Sqrt[3]*lu1^12*f44[t]*g44[t] - 599596905914892480000*Sqrt[3]*lu1^13*f44[t]*g44[t] + 93333870*Sqrt[42]*g20[t]*g44[t] + 1230203700*Sqrt[42]*lu1*g20[t]* g44[t] - 233102037870*Sqrt[42]*lu1^2*g20[t]*g44[t] + 338334464340*Sqrt[42]*lu1^3*g20[t]*g44[t] + 127307736763590* Sqrt[42]*lu1^4*g20[t]*g44[t] - 178935973919580*Sqrt[42]*lu1^5* g20[t]*g44[t] - 25096378524501450*Sqrt[42]*lu1^6*g20[t]*g44[t] - 5281169961455940*Sqrt[42]*lu1^7*g20[t]*g44[t] + 1564608811413891780*Sqrt[42]*lu1^8*g20[t]*g44[t] + 1501774123122233880*Sqrt[42]*lu1^9*g20[t]*g44[t] - 18378289495757168640*Sqrt[42]*lu1^10*g20[t]*g44[t] - 47895821078011900800*Sqrt[42]*lu1^11*g20[t]*g44[t] - 39173432728351320000*Sqrt[42]*lu1^12*g20[t]*g44[t] - 8996363483212560000*Sqrt[42]*lu1^13*g20[t]*g44[t] - 160810110*Sqrt[210]*g40[t]*g44[t] - 3321402084*Sqrt[210]*lu1* g40[t]*g44[t] + 342522745254*Sqrt[210]*lu1^2*g40[t]*g44[t] + 1404719455320*Sqrt[210]*lu1^3*g40[t]*g44[t] - 139711734308946* Sqrt[210]*lu1^4*g40[t]*g44[t] - 121354360798212*Sqrt[210]*lu1^5* g40[t]*g44[t] + 17499841967659146*Sqrt[210]*lu1^6*g40[t]*g44[t] + 10071587919801840*Sqrt[210]*lu1^7*g40[t]*g44[t] - 729475934605253184*Sqrt[210]*lu1^8*g40[t]*g44[t] - 758572594575488544*Sqrt[210]*lu1^9*g40[t]*g44[t] + 8147464916910233760*Sqrt[210]*lu1^10*g40[t]*g44[t] + 22479242246705356800*Sqrt[210]*lu1^11*g40[t]*g44[t] + 19877903551821600000*Sqrt[210]*lu1^12*g40[t]*g44[t] + 5366696852301120000*Sqrt[210]*lu1^13*g40[t]*g44[t] + 773563770*Sqrt[3]*g44[t]^2 - 124300665720*Sqrt[3]*lu1*g44[t]^2 + 2100731883390*Sqrt[3]*lu1^2*g44[t]^2 + 46232368568820*Sqrt[3]* lu1^3*g44[t]^2 - 782320986843690*Sqrt[3]*lu1^4*g44[t]^2 - 5959824473616720*Sqrt[3]*lu1^5*g44[t]^2 + 74587097949077490* Sqrt[3]*lu1^6*g44[t]^2 + 289475206059245220*Sqrt[3]*lu1^7* g44[t]^2 - 2266087681897431840*Sqrt[3]*lu1^8*g44[t]^2 - 6792063546085488720*Sqrt[3]*lu1^9*g44[t]^2 + 15318080022926019360* Sqrt[3]*lu1^10*g44[t]^2 + 73204460079015652800*Sqrt[3]*lu1^11* g44[t]^2 + 88180885278984288000*Sqrt[3]*lu1^12*g44[t]^2 + 34350159237680160000*Sqrt[3]*lu1^13*g44[t]^2 - 6*Sqrt[3]*f40[t]* (20*Sqrt[70]*(-793800459 + 37662121269*lu1 - 487914564864*lu1^2 - 5743179732904*lu1^3 + 188598527326667*lu1^4 + 22717157546861* lu1^5 + 10821429542160514*lu1^6 - 132459845437244650*lu1^7 - 1822562516367744274*lu1^8 - 2806146458597321504*lu1^9 + 3017736500071619264*lu1^10 + 7318223085886967040*lu1^11 + 3543911224992740000*lu1^12 + 853500774970928000*lu1^13)* f44[t] - 5*Sqrt[5]*(231092757 - 10008014607*lu1 + 93383336085* lu1^2 + 4257002233411*lu1^3 - 99756821025515*lu1^4 - 3526431190205953*lu1^5 + 24692737969216635*lu1^6 + 652750698976749917*lu1^7 + 1704960017803004358*lu1^8 - 1010893434161585792*lu1^9 - 7104103981066650240*lu1^10 - 2817513375914862320*lu1^11 + 7192984431079378400*lu1^12 + 4745484638656496000*lu1^13)*g20[t] - 2*(5*(169284087 - 719838414*lu1 - 90260976618*lu1^2 - 5951541410172*lu1^3 - 49575404331622*lu1^4 - 886621607262494* lu1^5 + 5571645398153318*lu1^6 + 38007597975230832*lu1^7 - 103804555480795485*lu1^8 - 33996846481814232*lu1^9 + 1343341526097616480*lu1^10 + 1705829713299767600*lu1^11 + 779303672034370000*lu1^12 + 888691560710520000*lu1^13)* g40[t] + Sqrt[70]*(303166935 + 45748226808*lu1 - 965646951828* lu1^2 - 20541991571210*lu1^3 + 207584179729492*lu1^4 + 3240896347180844*lu1^5 - 5166141229374592*lu1^6 - 142663618453811010*lu1^7 - 156823993834952967*lu1^8 + 1490963317086975128*lu1^9 + 4795746030458754080*lu1^10 + 4232887065832068400*lu1^11 - 1295009251179722000*lu1^12 - 2365929016552920000*lu1^13)*g44[t])) + 38396514240*Sqrt[3]* f44n[t]*g44n[t] + 13046915299320*Sqrt[3]*lu1*f44n[t]*g44n[t] - 206495114537880*Sqrt[3]*lu1^2*f44n[t]*g44n[t] - 7938671453283480*Sqrt[3]*lu1^3*f44n[t]*g44n[t] + 14252696816452920*Sqrt[3]*lu1^4*f44n[t]*g44n[t] + 702388910042145480*Sqrt[3]*lu1^5*f44n[t]*g44n[t] + 2524062305111325720*Sqrt[3]*lu1^6*f44n[t]*g44n[t] - 28404495672984524520*Sqrt[3]*lu1^7*f44n[t]*g44n[t] - 56001221130237122040*Sqrt[3]*lu1^8*f44n[t]*g44n[t] + 207657974946759288000*Sqrt[3]*lu1^9*f44n[t]*g44n[t] + 122290057461881057280*Sqrt[3]*lu1^10*f44n[t]*g44n[t] - 1420613030288229523200*Sqrt[3]*lu1^11*f44n[t]*g44n[t] - 2018433442264623888000*Sqrt[3]*lu1^12*f44n[t]*g44n[t] - 599596905914892480000*Sqrt[3]*lu1^13*f44n[t]*g44n[t] + 773563770*Sqrt[3]*g44n[t]^2 - 124300665720*Sqrt[3]*lu1*g44n[t]^2 + 2100731883390*Sqrt[3]*lu1^2*g44n[t]^2 + 46232368568820*Sqrt[3]* lu1^3*g44n[t]^2 - 782320986843690*Sqrt[3]*lu1^4*g44n[t]^2 - 5959824473616720*Sqrt[3]*lu1^5*g44n[t]^2 + 74587097949077490* Sqrt[3]*lu1^6*g44n[t]^2 + 289475206059245220*Sqrt[3]*lu1^7* g44n[t]^2 - 2266087681897431840*Sqrt[3]*lu1^8*g44n[t]^2 - 6792063546085488720*Sqrt[3]*lu1^9*g44n[t]^2 + 15318080022926019360* Sqrt[3]*lu1^10*g44n[t]^2 + 73204460079015652800*Sqrt[3]*lu1^11* g44n[t]^2 + 88180885278984288000*Sqrt[3]*lu1^12*g44n[t]^2 + 34350159237680160000*Sqrt[3]*lu1^13*g44n[t]^2)))/ (102204102*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) + (-77*(3 + 8*lu1 + 4*lu1^2)*mar*Sqrt[Pi]*(960960*Sqrt[Pi]*f42[t] - 22902880*lu1*Sqrt[Pi]*f42[t] - 10250240*lu1^2*Sqrt[Pi]*f42[t] + 2622940320*lu1^3*Sqrt[Pi]*f42[t] - 7844636800*lu1^4*Sqrt[Pi]* f42[t] - 25865840000*lu1^5*Sqrt[Pi]*f42[t] + 9094140*f40[t]*f42[t] - 148181220*lu1*f40[t]*f42[t] + 1465364340*lu1^2*f40[t]*f42[t] - 3350653020*lu1^3*f40[t]*f42[t] - 14388422400*lu1^4*f40[t]*f42[t] - 989406000*lu1^5*f40[t]*f42[t] - 2480220*Sqrt[70]*f42[t]*f44[t] + 40413060*Sqrt[70]*lu1*f42[t]* f44[t] - 399644820*Sqrt[70]*lu1^2*f42[t]*f44[t] + 913814460*Sqrt[70]*lu1^3*f42[t]*f44[t] + 3924115200*Sqrt[70]*lu1^4* f42[t]*f44[t] + 269838000*Sqrt[70]*lu1^5*f42[t]*f44[t] + 179556*Sqrt[210]*f22n[t]*f44n[t] - 5755880*Sqrt[210]*lu1*f22n[t]* f44n[t] + 49806848*Sqrt[210]*lu1^2*f22n[t]*f44n[t] + 241204704*Sqrt[210]*lu1^3*f22n[t]*f44n[t] - 858633620*Sqrt[210]* lu1^4*f22n[t]*f44n[t] - 1003155400*Sqrt[210]*lu1^5*f22n[t]* f44n[t] - 2480220*Sqrt[70]*f42n[t]*f44n[t] + 40413060*Sqrt[70]*lu1* f42n[t]*f44n[t] - 399644820*Sqrt[70]*lu1^2*f42n[t]*f44n[t] + 913814460*Sqrt[70]*lu1^3*f42n[t]*f44n[t] + 3924115200*Sqrt[70]*lu1^4* f42n[t]*f44n[t] + 269838000*Sqrt[70]*lu1^5*f42n[t]*f44n[t] - 10140*Sqrt[5]*f42[t]*g20[t] - 5199220*Sqrt[5]*lu1*f42[t]*g20[t] + 39098020*Sqrt[5]*lu1^2*f42[t]*g20[t] + 909332580*Sqrt[5]*lu1^3* f42[t]*g20[t] - 199527640*Sqrt[5]*lu1^4*f42[t]*g20[t] - 2852314400*Sqrt[5]*lu1^5*f42[t]*g20[t] + 38025*Sqrt[3]*f40[t]* g22[t] + 19497075*Sqrt[3]*lu1*f40[t]*g22[t] - 146617575*Sqrt[3]*lu1^2*f40[t]*g22[t] - 3409997175*Sqrt[3]*lu1^3* f40[t]*g22[t] + 748228650*Sqrt[3]*lu1^4*f40[t]*g22[t] + 10696179000*Sqrt[3]*lu1^5*f40[t]*g22[t] + 2535*Sqrt[210]*f44[t]* g22[t] + 1299805*Sqrt[210]*lu1*f44[t]*g22[t] - 9774505*Sqrt[210]*lu1^2*f44[t]*g22[t] - 227333145*Sqrt[210]*lu1^3* f44[t]*g22[t] + 49881910*Sqrt[210]*lu1^4*f44[t]*g22[t] + 713078600*Sqrt[210]*lu1^5*f44[t]*g22[t] + 4290*Sqrt[15]*g20[t]* g22[t] - 30030*Sqrt[15]*lu1*g20[t]*g22[t] - 1668810*Sqrt[15]*lu1^2* g20[t]*g22[t] + 1471470*Sqrt[15]*lu1^3*g20[t]*g22[t] + 195452400*Sqrt[15]*lu1^4*g20[t]*g22[t] + 867867000*Sqrt[15]*lu1^5* g20[t]*g22[t] + 2535*Sqrt[210]*f44n[t]*g22n[t] + 1299805*Sqrt[210]*lu1*f44n[t]*g22n[t] - 9774505*Sqrt[210]*lu1^2* f44n[t]*g22n[t] - 227333145*Sqrt[210]*lu1^3*f44n[t]*g22n[t] + 49881910*Sqrt[210]*lu1^4*f44n[t]*g22n[t] + 713078600*Sqrt[210]*lu1^5* f44n[t]*g22n[t] + 524205*f42[t]*g40[t] + 39195585*lu1*f42[t]* g40[t] - 67226445*lu1^2*f42[t]*g40[t] - 1536245865*lu1^3*f42[t]* g40[t] + 635807700*lu1^4*f42[t]*g40[t] + 6268432500*lu1^5*f42[t]* g40[t] - 11700*Sqrt[3]*g22[t]*g40[t] - 421980*Sqrt[3]*lu1*g22[t]* g40[t] + 8396700*Sqrt[3]*lu1^2*g22[t]*g40[t] + 74512620*Sqrt[3]*lu1^3*g22[t]*g40[t] - 552809400*Sqrt[3]*lu1^4* g22[t]*g40[t] - 1532856000*Sqrt[3]*lu1^5*g22[t]*g40[t] + 60060*Sqrt[Pi]*g42[t] + 2622620*lu1*Sqrt[Pi]*g42[t] - 46586540*lu1^2*Sqrt[Pi]*g42[t] - 453633180*lu1^3*Sqrt[Pi]*g42[t] + 2855652800*lu1^4*Sqrt[Pi]*g42[t] + 7113106000*lu1^5*Sqrt[Pi]* g42[t] + 524205*f40[t]*g42[t] + 39195585*lu1*f40[t]*g42[t] - 67226445*lu1^2*f40[t]*g42[t] - 1536245865*lu1^3*f40[t]*g42[t] + 635807700*lu1^4*f40[t]*g42[t] + 6268432500*lu1^5*f40[t]*g42[t] - 142965*Sqrt[70]*f44[t]*g42[t] - 10689705*Sqrt[70]*lu1*f44[t]* g42[t] + 18334485*Sqrt[70]*lu1^2*f44[t]*g42[t] + 418976145*Sqrt[70]*lu1^3*f44[t]*g42[t] - 173402100*Sqrt[70]*lu1^4* f44[t]*g42[t] - 1709572500*Sqrt[70]*lu1^5*f44[t]*g42[t] + 3120*Sqrt[5]*g20[t]*g42[t] + 112528*Sqrt[5]*lu1*g20[t]*g42[t] - 2239120*Sqrt[5]*lu1^2*g20[t]*g42[t] - 19870032*Sqrt[5]*lu1^3*g20[t]* g42[t] + 147415840*Sqrt[5]*lu1^4*g20[t]*g42[t] + 408761600*Sqrt[5]*lu1^5*g20[t]*g42[t] - 8910*g40[t]*g42[t] - 389070*lu1*g40[t]*g42[t] + 6911190*lu1^2*g40[t]*g42[t] + 67297230*lu1^3*g40[t]*g42[t] - 423640800*lu1^4*g40[t]*g42[t] - 1055241000*lu1^5*g40[t]*g42[t] + 13*Sqrt[5]*f20[t]* (1320*Sqrt[3]*(-13 + 489*lu1 - 1643*lu1^2 - 64021*lu1^3 + 208200*lu1^4 + 651100*lu1^5)*f22[t] + 16*(-3453 + 110690*lu1 - 957824*lu1^2 - 4638552*lu1^3 + 16512185*lu1^4 + 19291450*lu1^5)*f42[t] + 1815*Sqrt[3]*g22[t] - 106865*Sqrt[3]*lu1*g22[t] + 492965*Sqrt[3]*lu1^2*g22[t] + 16438785*Sqrt[3]*lu1^3*g22[t] - 34205600*Sqrt[3]*lu1^4*g22[t] - 242819500*Sqrt[3]*lu1^5*g22[t] - 5580*g42[t] - 321972*lu1*g42[t] + 2120964*lu1^2*g42[t] + 9249156*lu1^3*g42[t] - 37137480*lu1^4* g42[t] - 114283200*lu1^5*g42[t]) - 142965*Sqrt[70]*f44n[t]* g42n[t] - 10689705*Sqrt[70]*lu1*f44n[t]*g42n[t] + 18334485*Sqrt[70]*lu1^2*f44n[t]*g42n[t] + 418976145*Sqrt[70]*lu1^3* f44n[t]*g42n[t] - 173402100*Sqrt[70]*lu1^4*f44n[t]*g42n[t] - 1709572500*Sqrt[70]*lu1^5*f44n[t]*g42n[t] - 142965*Sqrt[70]*f42[t]* g44[t] - 10689705*Sqrt[70]*lu1*f42[t]*g44[t] + 18334485*Sqrt[70]*lu1^2*f42[t]*g44[t] + 418976145*Sqrt[70]*lu1^3* f42[t]*g44[t] - 173402100*Sqrt[70]*lu1^4*f42[t]*g44[t] - 1709572500*Sqrt[70]*lu1^5*f42[t]*g44[t] - 780*Sqrt[210]*g22[t]* g44[t] - 28132*Sqrt[210]*lu1*g22[t]*g44[t] + 559780*Sqrt[210]*lu1^2* g22[t]*g44[t] + 4967508*Sqrt[210]*lu1^3*g22[t]*g44[t] - 36853960*Sqrt[210]*lu1^4*g22[t]*g44[t] - 102190400*Sqrt[210]*lu1^5* g22[t]*g44[t] + 2430*Sqrt[70]*g42[t]*g44[t] + 106110*Sqrt[70]*lu1* g42[t]*g44[t] - 1884870*Sqrt[70]*lu1^2*g42[t]*g44[t] - 18353790*Sqrt[70]*lu1^3*g42[t]*g44[t] + 115538400*Sqrt[70]*lu1^4* g42[t]*g44[t] + 287793000*Sqrt[70]*lu1^5*g42[t]*g44[t] - 13*Sqrt[3]*f22[t]*(60*(-3453 + 110690*lu1 - 957824*lu1^2 - 4638552*lu1^3 + 16512185*lu1^4 + 19291450*lu1^5)*f40[t] + 4*Sqrt[70]*(-3453 + 110690*lu1 - 957824*lu1^2 - 4638552*lu1^3 + 16512185*lu1^4 + 19291450*lu1^5)*f44[t] - 1815*Sqrt[5]*g20[t] + 106865*Sqrt[5]*lu1*g20[t] - 492965*Sqrt[5]*lu1^2*g20[t] - 16438785*Sqrt[5]*lu1^3*g20[t] + 34205600*Sqrt[5]*lu1^4*g20[t] + 242819500*Sqrt[5]*lu1^5*g20[t] - 20925*g40[t] - 1207395*lu1*g40[t] + 7953615*lu1^2*g40[t] + 34684335*lu1^3* g40[t] - 139265550*lu1^4*g40[t] - 428562000*lu1^5*g40[t] - 1395*Sqrt[70]*g44[t] - 80493*Sqrt[70]*lu1*g44[t] + 530241*Sqrt[70]*lu1^2*g44[t] + 2312289*Sqrt[70]*lu1^3*g44[t] - 9284370*Sqrt[70]*lu1^4*g44[t] - 28570800*Sqrt[70]*lu1^5*g44[t]) + 18135*Sqrt[210]*f22n[t]*g44n[t] + 1046409*Sqrt[210]*lu1*f22n[t]* g44n[t] - 6893133*Sqrt[210]*lu1^2*f22n[t]*g44n[t] - 30059757*Sqrt[210]*lu1^3*f22n[t]*g44n[t] + 120696810*Sqrt[210]*lu1^4* f22n[t]*g44n[t] + 371420400*Sqrt[210]*lu1^5*f22n[t]*g44n[t] - 142965*Sqrt[70]*f42n[t]*g44n[t] - 10689705*Sqrt[70]*lu1*f42n[t]* g44n[t] + 18334485*Sqrt[70]*lu1^2*f42n[t]*g44n[t] + 418976145*Sqrt[70]*lu1^3*f42n[t]*g44n[t] - 173402100*Sqrt[70]*lu1^4* f42n[t]*g44n[t] - 1709572500*Sqrt[70]*lu1^5*f42n[t]*g44n[t] - 780*Sqrt[210]*g22n[t]*g44n[t] - 28132*Sqrt[210]*lu1*g22n[t]* g44n[t] + 559780*Sqrt[210]*lu1^2*g22n[t]*g44n[t] + 4967508*Sqrt[210]*lu1^3*g22n[t]*g44n[t] - 36853960*Sqrt[210]*lu1^4* g22n[t]*g44n[t] - 102190400*Sqrt[210]*lu1^5*g22n[t]*g44n[t] + 2430*Sqrt[70]*g42n[t]*g44n[t] + 106110*Sqrt[70]*lu1*g42n[t]* g44n[t] - 1884870*Sqrt[70]*lu1^2*g42n[t]*g44n[t] - 18353790*Sqrt[70]*lu1^3*g42n[t]*g44n[t] + 115538400*Sqrt[70]*lu1^4* g42n[t]*g44n[t] + 287793000*Sqrt[70]*lu1^5*g42n[t]*g44n[t]) + 154*cap*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]* (26*Sqrt[5]*f20[t]*(110*Sqrt[3]*(-27 + 511*lu1 + 1043*lu1^2 - 49779*lu1^3 + 248440*lu1^4 + 695300*lu1^5)*f22[t] + 3*(4*(-1530 + 11231*lu1 - 123201*lu1^2 + 1175199*lu1^3 + 5622155* lu1^4 + 275250*lu1^5)*f42[t] - (-1 + 3*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(55*Sqrt[3]*g22[t] + 12*g42[t]))) - 3*(-180180*Sqrt[Pi]*f42[t] + 2942940*lu1*Sqrt[Pi]*f42[t] + 17237220*lu1^2*Sqrt[Pi]*f42[t] - 285945660*lu1^3*Sqrt[Pi]*f42[t] + 355555200*lu1^4*Sqrt[Pi]*f42[t] + 1939938000*lu1^5*Sqrt[Pi]* f42[t] - 1894860*f40[t]*f42[t] + 477180*lu1*f40[t]*f42[t] - 212725260*lu1^2*f40[t]*f42[t] + 1318305780*lu1^3*f40[t]*f42[t] + 3209401800*lu1^4*f40[t]*f42[t] - 624492000*lu1^5*f40[t]*f42[t] + 516780*Sqrt[70]*f42[t]*f44[t] - 130140*Sqrt[70]*lu1*f42[t]* f44[t] + 58015980*Sqrt[70]*lu1^2*f42[t]*f44[t] - 359537940*Sqrt[70]*lu1^3*f42[t]*f44[t] - 875291400*Sqrt[70]*lu1^4* f42[t]*f44[t] + 170316000*Sqrt[70]*lu1^5*f42[t]*f44[t] - 39780*Sqrt[210]*f22n[t]*f44n[t] + 292006*Sqrt[210]*lu1*f22n[t]* f44n[t] - 3203226*Sqrt[210]*lu1^2*f22n[t]*f44n[t] + 30555174*Sqrt[210]*lu1^3*f22n[t]*f44n[t] + 146176030*Sqrt[210]* lu1^4*f22n[t]*f44n[t] + 7156500*Sqrt[210]*lu1^5*f22n[t]*f44n[t] + 516780*Sqrt[70]*f42n[t]*f44n[t] - 130140*Sqrt[70]*lu1*f42n[t]* f44n[t] + 58015980*Sqrt[70]*lu1^2*f42n[t]*f44n[t] - 359537940*Sqrt[70]*lu1^3*f42n[t]*f44n[t] - 875291400*Sqrt[70]* lu1^4*f42n[t]*f44n[t] + 170316000*Sqrt[70]*lu1^5*f42n[t]* f44n[t] - 7956*Sqrt[5]*f42[t]*g20[t] + 129948*Sqrt[5]*lu1*f42[t]* g20[t] + 761124*Sqrt[5]*lu1^2*f42[t]*g20[t] - 12626172*Sqrt[5]* lu1^3*f42[t]*g20[t] + 15699840*Sqrt[5]*lu1^4*f42[t]*g20[t] + 85659600*Sqrt[5]*lu1^5*f42[t]*g20[t] + 29835*Sqrt[3]*f40[t]* g22[t] - 487305*Sqrt[3]*lu1*f40[t]*g22[t] - 2854215*Sqrt[3]*lu1^2* f40[t]*g22[t] + 47348145*Sqrt[3]*lu1^3*f40[t]*g22[t] - 58874400*Sqrt[3]*lu1^4*f40[t]*g22[t] - 321223500*Sqrt[3]*lu1^5* f40[t]*g22[t] + 1989*Sqrt[210]*f44[t]*g22[t] - 32487*Sqrt[210]*lu1*f44[t]*g22[t] - 190281*Sqrt[210]*lu1^2*f44[t]* g22[t] + 3156543*Sqrt[210]*lu1^3*f44[t]*g22[t] - 3924960*Sqrt[210]*lu1^4*f44[t]*g22[t] - 21414900*Sqrt[210]*lu1^5* f44[t]*g22[t] + 1989*Sqrt[210]*f44n[t]*g22n[t] - 32487*Sqrt[210]*lu1*f44n[t]*g22n[t] - 190281*Sqrt[210]*lu1^2* f44n[t]*g22n[t] + 3156543*Sqrt[210]*lu1^3*f44n[t]*g22n[t] - 3924960*Sqrt[210]*lu1^4*f44n[t]*g22n[t] - 21414900*Sqrt[210]*lu1^5* f44n[t]*g22n[t] + 13365*f42[t]*g40[t] - 218295*lu1*f42[t]* g40[t] - 1278585*lu1^2*f42[t]*g40[t] + 21210255*lu1^3*f42[t]* g40[t] - 26373600*lu1^4*f42[t]*g40[t] - 143896500*lu1^5*f42[t]* g40[t] + 13365*f40[t]*g42[t] - 218295*lu1*f40[t]*g42[t] - 1278585*lu1^2*f40[t]*g42[t] + 21210255*lu1^3*f40[t]*g42[t] - 26373600*lu1^4*f40[t]*g42[t] - 143896500*lu1^5*f40[t]*g42[t] - 3645*Sqrt[70]*f44[t]*g42[t] + 59535*Sqrt[70]*lu1*f44[t]*g42[t] + 348705*Sqrt[70]*lu1^2*f44[t]*g42[t] - 5784615*Sqrt[70]*lu1^3* f44[t]*g42[t] + 7192800*Sqrt[70]*lu1^4*f44[t]*g42[t] + 39244500*Sqrt[70]*lu1^5*f44[t]*g42[t] - 3645*Sqrt[70]*f44n[t]* g42n[t] + 59535*Sqrt[70]*lu1*f44n[t]*g42n[t] + 348705*Sqrt[70]*lu1^2*f44n[t]*g42n[t] - 5784615*Sqrt[70]*lu1^3* f44n[t]*g42n[t] + 7192800*Sqrt[70]*lu1^4*f44n[t]*g42n[t] + 39244500*Sqrt[70]*lu1^5*f44n[t]*g42n[t] - 3645*Sqrt[70]*f42[t]* g44[t] + 59535*Sqrt[70]*lu1*f42[t]*g44[t] + 348705*Sqrt[70]*lu1^2* f42[t]*g44[t] - 5784615*Sqrt[70]*lu1^3*f42[t]*g44[t] + 7192800*Sqrt[70]*lu1^4*f42[t]*g44[t] + 39244500*Sqrt[70]*lu1^5* f42[t]*g44[t] + 26*Sqrt[3]*f22[t]*(15*(-1530 + 11231*lu1 - 123201* lu1^2 + 1175199*lu1^3 + 5622155*lu1^4 + 275250*lu1^5)* f40[t] + Sqrt[70]*(-1530 + 11231*lu1 - 123201*lu1^2 + 1175199* lu1^3 + 5622155*lu1^4 + 275250*lu1^5)*f44[t] + (-1 + 3*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(55*Sqrt[5]*g20[t] - 45* g40[t] - 3*Sqrt[70]*g44[t])) + 78*Sqrt[210]*f22n[t]*g44n[t] - 1326*Sqrt[210]*lu1*f22n[t]*g44n[t] - 19422*Sqrt[210]*lu1^2*f22n[t]* g44n[t] + 253734*Sqrt[210]*lu1^3*f22n[t]*g44n[t] + 1697280*Sqrt[210]*lu1^4*f22n[t]*g44n[t] - 6762600*Sqrt[210]*lu1^5* f22n[t]*g44n[t] - 3645*Sqrt[70]*f42n[t]*g44n[t] + 59535*Sqrt[70]*lu1*f42n[t]*g44n[t] + 348705*Sqrt[70]*lu1^2*f42n[t]* g44n[t] - 5784615*Sqrt[70]*lu1^3*f42n[t]*g44n[t] + 7192800*Sqrt[70]*lu1^4*f42n[t]*g44n[t] + 39244500*Sqrt[70]*lu1^5* f42n[t]*g44n[t])) + 3*(-1 + 17*lu1)* (-77077*(1 + 12*lu1 + 20*lu1^2)^2*(9 - 204*lu1 + 829*lu1^2 + 646*lu1^3)*Pi*sc*g42n[t] - Sqrt[Pi/3]* (49*Sqrt[10]*(-6 - 13*lu1 + 4*lu1^3)*f22[t]* (10725*Sqrt[3]*(3 - 40*lu1 - 377*lu1^2 + 3230*lu1^3)*f22n[t] + 10*(3673 - 865185*lu1 - 12955407*lu1^2 + 92983735*lu1^3)* f42n[t] - 4719*(1 + 10*lu1)^2*(3 - 70*lu1 + 323*lu1^2)* g42n[t]) + 5*(1261260*Sqrt[21*Pi]*f44n[t] - 14084070*lu1* Sqrt[21*Pi]*f44n[t] - 194934740*lu1^2*Sqrt[21*Pi]*f44n[t] + 1013702690*lu1^3*Sqrt[21*Pi]*f44n[t] + 2953450500*lu1^4* Sqrt[21*Pi]*f44n[t] + 105665560*lu1^5*Sqrt[21*Pi]*f44n[t] - 905304400*lu1^6*Sqrt[21*Pi]*f44n[t] - 1357944*Sqrt[105]*f20[t]* f44n[t] + 98461300*Sqrt[105]*lu1*f20[t]*f44n[t] + 841299844*Sqrt[105]*lu1^2*f20[t]*f44n[t] - 1543134656*Sqrt[105]* lu1^3*f20[t]*f44n[t] - 8924141912*Sqrt[105]*lu1^4*f20[t]* f44n[t] + 260530984*Sqrt[105]*lu1^5*f20[t]*f44n[t] + 2238024880*Sqrt[105]*lu1^6*f20[t]*f44n[t] - 50811180*Sqrt[21]* f40[t]*f44n[t] - 3017271250*Sqrt[21]*lu1*f40[t]*f44n[t] - 26862699080*Sqrt[21]*lu1^2*f40[t]*f44n[t] + 28015888670*Sqrt[21]* lu1^3*f40[t]*f44n[t] + 96521445440*Sqrt[21]*lu1^4*f40[t]* f44n[t] - 31472197400*Sqrt[21]*lu1^5*f40[t]*f44n[t] - 10122246400*Sqrt[21]*lu1^6*f40[t]*f44n[t] - 255762*Sqrt[105]* f44n[t]*g20[t] - 3511495*Sqrt[105]*lu1*f44n[t]*g20[t] + 61501102*Sqrt[105]*lu1^2*f44n[t]*g20[t] + 1047081217*Sqrt[105]* lu1^3*f44n[t]*g20[t] + 3159975494*Sqrt[105]*lu1^4*f44n[t]* g20[t] - 2058072068*Sqrt[105]*lu1^5*f44n[t]*g20[t] + 104426920*Sqrt[105]*lu1^6*f44n[t]*g20[t] - 2059122*Sqrt[10]* f42n[t]*g22[t] + 8207329*Sqrt[10]*lu1*f42n[t]*g22[t] + 333087378*Sqrt[10]*lu1^2*f42n[t]*g22[t] + 1469907257*Sqrt[10]* lu1^3*f42n[t]*g22[t] + 10346032450*Sqrt[10]*lu1^4*f42n[t]* g22[t] + 1230817068*Sqrt[10]*lu1^5*f42n[t]*g22[t] - 3406697320*Sqrt[10]*lu1^6*f42n[t]*g22[t] - 280170*Sqrt[21]* f44n[t]*g40[t] + 4218225*Sqrt[21]*lu1*f44n[t]*g40[t] + 74079720*Sqrt[21]*lu1^2*f44n[t]*g40[t] - 645784755*Sqrt[21]* lu1^3*f44n[t]*g40[t] - 7445800560*Sqrt[21]*lu1^4*f44n[t]* g40[t] - 5528874780*Sqrt[21]*lu1^5*f44n[t]*g40[t] + 4701853200*Sqrt[21]*lu1^6*f44n[t]*g40[t] - 493590*Sqrt[30]* f42n[t]*g42[t] + 4436395*Sqrt[30]*lu1*f42n[t]*g42[t] + 77366250*Sqrt[30]*lu1^2*f42n[t]*g42[t] - 169446025*Sqrt[30]* lu1^3*f42n[t]*g42[t] - 52709810*Sqrt[30]*lu1^4*f42n[t]*g42[t] + 60708180*Sqrt[30]*lu1^5*f42n[t]*g42[t] - 962200*Sqrt[30]*lu1^6* f42n[t]*g42[t] + Sqrt[10]*(6 - 41*lu1 + 19*lu1^2)*f22n[t]* (14*(-103399 + 8857354*lu1 + 135025611*lu1^2 + 298695554* lu1^3 + 155885080*lu1^4)*f42[t] - 429*(1 + 10*lu1)^2* (-3 + 49*lu1 + 34*lu1^2)*(55*Sqrt[3]*g22[t] + 12*g42[t])) - 7*Sqrt[10]*(-2 + lu1)*f42[t]*(11*Sqrt[3]*(139011 + 7400578*lu1 + 66796855*lu1^2 - 204882864*lu1^3 - 568606700*lu1^4 + 23692000*lu1^5)*f42n[t] + 14*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*(13*(113 + 1487*lu1)*g22n[t] + 3*Sqrt[3]*(566 + 4715*lu1)*g42n[t])) + 680106*Sqrt[30]* f44n[t]*g44[t] - 1592521*Sqrt[30]*lu1*f44n[t]*g44[t] - 155757420*Sqrt[30]*lu1^2*f44n[t]*g44[t] - 455378021*Sqrt[30]* lu1^3*f44n[t]*g44[t] + 3376417604*Sqrt[30]*lu1^4*f44n[t]* g44[t] + 7050121260*Sqrt[30]*lu1^5*f44n[t]*g44[t] - 4302468800*Sqrt[30]*lu1^6*f44n[t]*g44[t] - 27027*Sqrt[21*Pi]* g44n[t] + 18018*lu1*Sqrt[21*Pi]*g44n[t] + 7204197*lu1^2* Sqrt[21*Pi]*g44n[t] + 23651628*lu1^3*Sqrt[21*Pi]*g44n[t] - 268684416*lu1^4*Sqrt[21*Pi]*g44n[t] - 769488720*lu1^5* Sqrt[21*Pi]*g44n[t] - 387987600*lu1^6*Sqrt[21*Pi]*g44n[t] - 23166*Sqrt[105]*f20[t]*g44n[t] + 73359*Sqrt[105]*lu1*f20[t]* g44n[t] + 6020586*Sqrt[105]*lu1^2*f20[t]*g44n[t] + 5144139*Sqrt[105]*lu1^3*f20[t]*g44n[t] - 250725618*Sqrt[105]* lu1^4*f20[t]*g44n[t] - 42960060*Sqrt[105]*lu1^5*f20[t]* g44n[t] + 83140200*Sqrt[105]*lu1^6*f20[t]*g44n[t] + 75990*Sqrt[21]*f40[t]*g44n[t] - 3522655*Sqrt[21]*lu1*f40[t]* g44n[t] + 22810320*Sqrt[21]*lu1^2*f40[t]*g44n[t] + 435890245*Sqrt[21]*lu1^3*f40[t]*g44n[t] - 2750895520*Sqrt[21]* lu1^4*f40[t]*g44n[t] - 5141826300*Sqrt[21]*lu1^5*f40[t]* g44n[t] + 3202834000*Sqrt[21]*lu1^6*f40[t]*g44n[t] - 680106*Sqrt[30]*f44[t]*g44n[t] + 1592521*Sqrt[30]*lu1*f44[t]* g44n[t] + 155757420*Sqrt[30]*lu1^2*f44[t]*g44n[t] + 455378021*Sqrt[30]*lu1^3*f44[t]*g44n[t] - 3376417604*Sqrt[30]* lu1^4*f44[t]*g44n[t] - 7050121260*Sqrt[30]*lu1^5*f44[t]* g44n[t] + 4302468800*Sqrt[30]*lu1^6*f44[t]*g44n[t]))))/ (231231*(-9 + 51*lu1 + 38*lu1^2)*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)^2* Pi) + (2*cap*(4740450*Sqrt[3]*(-725841 + 29504817*lu1 + 1764870957*lu1^2 - 60712858071*lu1^3 - 639498380073*lu1^4 + 19645869408495*lu1^5 - 171122659857257*lu1^6 + 2256890201578659*lu1^7 + 40876598694018718*lu1^8 - 458077220437001756*lu1^9 - 2922806986764579656*lu1^10 + 1635608599711419568*lu1^11 + 29243069995018926240*lu1^12 + 52577239379605681600*lu1^13 + 35124631322817456000*lu1^14 + 8047907530407360000*lu1^15)*f22[t]^3 - 4876764059700*f22n[t]^2* f42[t] + 391228865615250*lu1*f22n[t]^2*f42[t] + 29188843062780960*lu1^2*f22n[t]^2*f42[t] - 1809140164816457070*lu1^3* f22n[t]^2*f42[t] - 41737724267905307460*lu1^4*f22n[t]^2*f42[t] + 1907876736162408330930*lu1^5*f22n[t]^2*f42[t] - 701060200936347493800*lu1^6*f22n[t]^2*f42[t] - 252716525115643661721090*lu1^7*f22n[t]^2*f42[t] + 2759141360254118298444960*lu1^8*f22n[t]^2*f42[t] + 1932928050182700837022380*lu1^9*f22n[t]^2*f42[t] - 197532643133910594828995040*lu1^10*f22n[t]^2*f42[t] - 253957493598541980480729600*lu1^11*f22n[t]^2*f42[t] + 976277215139685811043028480*lu1^12*f22n[t]^2*f42[t] + 2047932691545315164428612800*lu1^13*f22n[t]^2*f42[t] + 1104283934766715237464384000*lu1^14*f22n[t]^2*f42[t] + 125785884305167430198400000*lu1^15*f22n[t]^2*f42[t] - 27892453382325*f40[t]^2*f42[t] + 14930975020905045*lu1*f40[t]^2* f42[t] - 396237051916114095*lu1^2*f40[t]^2*f42[t] - 48478248383947800795*lu1^3*f40[t]^2*f42[t] + 1389788138935151577315* lu1^4*f40[t]^2*f42[t] + 32740141126340495136915*lu1^5*f40[t]^2* f42[t] - 477225965256879098083725*lu1^6*f40[t]^2*f42[t] - 4913779500031162108898985*lu1^7*f40[t]^2*f42[t] + 19682398480643055482942310*lu1^8*f40[t]^2*f42[t] + 48799675128687832895585580*lu1^9*f40[t]^2*f42[t] + 62421746891952796324747080*lu1^10*f40[t]^2*f42[t] + 1806743009691622572428561520*lu1^11*f40[t]^2*f42[t] + 5823025962487380297557292960*lu1^12*f40[t]^2*f42[t] + 5495373190042018023207259200*lu1^13*f40[t]^2*f42[t] + 644803736355612236565456000*lu1^14*f40[t]^2*f42[t] - 638798730014988495691200000*lu1^15*f40[t]^2*f42[t] + 614175706155942*f42[t]^3 + 12611431235005002*lu1*f42[t]^3 - 1476474176821481406*lu1^2*f42[t]^3 - 78063354585371370150*lu1^3* f42[t]^3 + 232579687948876243782*lu1^4*f42[t]^3 + 62316507357175685374998*lu1^5*f42[t]^3 + 9912671087977506786534*lu1^6* f42[t]^3 - 4913237780856240217115106*lu1^7*f42[t]^3 + 20468478590935496084293500*lu1^8*f42[t]^3 - 78381283222969070983457976*lu1^9*f42[t]^3 - 292807219593786050162125392*lu1^10*f42[t]^3 + 2277341792199967985285399520*lu1^11*f42[t]^3 + 7937976285014157011877371712*lu1^12*f42[t]^3 + 7145788985593133854688442240*lu1^13*f42[t]^3 + 559796019830487068507155200*lu1^14*f42[t]^3 - 930850094002223794412160000*lu1^15*f42[t]^3 + 62065850805270*Sqrt[3]* f22n[t]*f42[t]*f42n[t] - 445899151162530*Sqrt[3]*lu1*f22n[t]*f42[t]* f42n[t] - 179782474896432720*Sqrt[3]*lu1^2*f22n[t]*f42[t]*f42n[t] - 1353847987474165170*Sqrt[3]*lu1^3*f22n[t]*f42[t]*f42n[t] + 107779819812377991720*Sqrt[3]*lu1^4*f22n[t]*f42[t]*f42n[t] + 2516066131945600224510*Sqrt[3]*lu1^5*f22n[t]*f42[t]*f42n[t] - 43932893869678799136840*Sqrt[3]*lu1^6*f22n[t]*f42[t]*f42n[t] - 777223688757053519874750*Sqrt[3]*lu1^7*f22n[t]*f42[t]*f42n[t] + 3627096386644586550723210*Sqrt[3]*lu1^8*f22n[t]*f42[t]*f42n[t] + 66997049267325310693765140*Sqrt[3]*lu1^9*f22n[t]*f42[t]*f42n[t] - 23956430633549835993196560*Sqrt[3]*lu1^10*f22n[t]*f42[t]*f42n[t] - 325872826209019450146264960*Sqrt[3]*lu1^11*f22n[t]*f42[t]*f42n[t] + 273138594080602953990811680*Sqrt[3]*lu1^12*f22n[t]*f42[t]*f42n[t] + 1018726340794873152121992000*Sqrt[3]*lu1^13*f22n[t]*f42[t]*f42n[t] + 504977834779315051417536000*Sqrt[3]*lu1^14*f22n[t]*f42[t]*f42n[t] + 94558373671551464787840000*Sqrt[3]*lu1^15*f22n[t]*f42[t]*f42n[t] + 614175706155942*f42[t]*f42n[t]^2 + 12611431235005002*lu1*f42[t]* f42n[t]^2 - 1476474176821481406*lu1^2*f42[t]*f42n[t]^2 - 78063354585371370150*lu1^3*f42[t]*f42n[t]^2 + 232579687948876243782* lu1^4*f42[t]*f42n[t]^2 + 62316507357175685374998*lu1^5*f42[t]* f42n[t]^2 + 9912671087977506786534*lu1^6*f42[t]*f42n[t]^2 - 4913237780856240217115106*lu1^7*f42[t]*f42n[t]^2 + 20468478590935496084293500*lu1^8*f42[t]*f42n[t]^2 - 78381283222969070983457976*lu1^9*f42[t]*f42n[t]^2 - 292807219593786050162125392*lu1^10*f42[t]*f42n[t]^2 + 2277341792199967985285399520*lu1^11*f42[t]*f42n[t]^2 + 7937976285014157011877371712*lu1^12*f42[t]*f42n[t]^2 + 7145788985593133854688442240*lu1^13*f42[t]*f42n[t]^2 + 559796019830487068507155200*lu1^14*f42[t]*f42n[t]^2 - 930850094002223794412160000*lu1^15*f42[t]*f42n[t]^2 - 41017996709424*Sqrt[70]*f40[t]*f42[t]*f44[t] + 1056154212661536*Sqrt[70]*lu1*f40[t]*f42[t]*f44[t] + 41877555489137952*Sqrt[70]*lu1^2*f40[t]*f42[t]*f44[t] - 1156722990766789680*Sqrt[70]*lu1^3*f40[t]*f42[t]*f44[t] + 155938566729883280256*Sqrt[70]*lu1^4*f40[t]*f42[t]*f44[t] + 193700503806447238704*Sqrt[70]*lu1^5*f40[t]*f42[t]*f44[t] - 59042730710310349160448*Sqrt[70]*lu1^6*f40[t]*f42[t]*f44[t] - 300876809339148000041808*Sqrt[70]*lu1^7*f40[t]*f42[t]*f44[t] + 1156917451245956013158640*Sqrt[70]*lu1^8*f40[t]*f42[t]*f44[t] + 10774324498796616537222192*Sqrt[70]*lu1^9*f40[t]*f42[t]*f44[t] + 25570451839450508743568544*Sqrt[70]*lu1^10*f40[t]*f42[t]*f44[t] + 81804748603057785279901440*Sqrt[70]*lu1^11*f40[t]*f42[t]*f44[t] + 227025039181261443871666176*Sqrt[70]*lu1^12*f40[t]*f42[t]*f44[t] + 235405554764749113779147520*Sqrt[70]*lu1^13*f40[t]*f42[t]*f44[t] + 44682333849841065589209600*Sqrt[70]*lu1^14*f40[t]*f42[t]*f44[t] - 21229430573127746753280000*Sqrt[70]*lu1^15*f40[t]*f42[t]*f44[t] + 682539034004982*f42[t]*f44[t]^2 + 10851174213902442*lu1*f42[t]* f44[t]^2 - 1546270102636711326*lu1^2*f42[t]*f44[t]^2 - 76135482934093387350*lu1^3*f42[t]*f44[t]^2 - 27317923267595889978* lu1^4*f42[t]*f44[t]^2 + 61993673184164939977158*lu1^5*f42[t]* f44[t]^2 + 108317222271828088720614*lu1^6*f42[t]*f44[t]^2 - 4411776431957660217045426*lu1^7*f42[t]*f44[t]^2 + 18540282838858902729029100*lu1^8*f42[t]*f44[t]^2 - 96338490720963431878828296*lu1^9*f42[t]*f44[t]^2 - 335424639326203564734739632*lu1^10*f42[t]*f44[t]^2 + 2141000544528205009818897120*lu1^11*f42[t]*f44[t]^2 + 7559601219712054605424594752*lu1^12*f42[t]*f44[t]^2 + 6753446394318551998389863040*lu1^13*f42[t]*f44[t]^2 + 485325463414085292525139200*lu1^14*f42[t]*f44[t]^2 - 895467709713677549823360000*lu1^15*f42[t]*f44[t]^2 - 27080979900390*Sqrt[210]*f22n[t]*f40[t]*f44n[t] + 245677342881906*Sqrt[210]*lu1*f22n[t]*f40[t]*f44n[t] + 79104074319874656*Sqrt[210]*lu1^2*f22n[t]*f40[t]*f44n[t] + 492268694748702066*Sqrt[210]*lu1^3*f22n[t]*f40[t]*f44n[t] - 46512591879906832056*Sqrt[210]*lu1^4*f22n[t]*f40[t]*f44n[t] - 1200128743530770584830*Sqrt[210]*lu1^5*f22n[t]*f40[t]*f44n[t] + 9980511276585393861720*Sqrt[210]*lu1^6*f22n[t]*f40[t]*f44n[t] + 281755879525528382682942*Sqrt[210]*lu1^7*f22n[t]*f40[t]*f44n[t] - 1418816310206173207827498*Sqrt[210]*lu1^8*f22n[t]*f40[t]*f44n[t] - 19170131708027529868786212*Sqrt[210]*lu1^9*f22n[t]*f40[t]*f44n[t] - 11216822864571897950791440*Sqrt[210]*lu1^10*f22n[t]*f40[t]*f44n[t] + 59687853321143927337085056*Sqrt[210]*lu1^11*f22n[t]*f40[t]*f44n[t] + 9252484170331570474157280*Sqrt[210]*lu1^12*f22n[t]*f40[t]*f44n[t] - 119087610743241780992040000*Sqrt[210]*lu1^13*f22n[t]*f40[t]*f44n[t] - 80212270293664107336192000*Sqrt[210]*lu1^14*f22n[t]*f40[t]*f44n[t] - 15188932117256538775680000*Sqrt[210]*lu1^15*f22n[t]*f40[t]*f44n[t] - 41017996709424*Sqrt[70]*f40[t]*f42n[t]*f44n[t] + 1056154212661536*Sqrt[70]*lu1*f40[t]*f42n[t]*f44n[t] + 41877555489137952*Sqrt[70]*lu1^2*f40[t]*f42n[t]*f44n[t] - 1156722990766789680*Sqrt[70]*lu1^3*f40[t]*f42n[t]*f44n[t] + 155938566729883280256*Sqrt[70]*lu1^4*f40[t]*f42n[t]*f44n[t] + 193700503806447238704*Sqrt[70]*lu1^5*f40[t]*f42n[t]*f44n[t] - 59042730710310349160448*Sqrt[70]*lu1^6*f40[t]*f42n[t]*f44n[t] - 300876809339148000041808*Sqrt[70]*lu1^7*f40[t]*f42n[t]*f44n[t] + 1156917451245956013158640*Sqrt[70]*lu1^8*f40[t]*f42n[t]*f44n[t] + 10774324498796616537222192*Sqrt[70]*lu1^9*f40[t]*f42n[t]*f44n[t] + 25570451839450508743568544*Sqrt[70]*lu1^10*f40[t]*f42n[t]*f44n[t] + 81804748603057785279901440*Sqrt[70]*lu1^11*f40[t]*f42n[t]*f44n[t] + 227025039181261443871666176*Sqrt[70]*lu1^12*f40[t]*f42n[t]*f44n[t] + 235405554764749113779147520*Sqrt[70]*lu1^13*f40[t]*f42n[t]*f44n[t] + 44682333849841065589209600*Sqrt[70]*lu1^14*f40[t]*f42n[t]*f44n[t] - 21229430573127746753280000*Sqrt[70]*lu1^15*f40[t]*f42n[t]*f44n[t] + 682539034004982*f42[t]*f44n[t]^2 + 10851174213902442*lu1*f42[t]* f44n[t]^2 - 1546270102636711326*lu1^2*f42[t]*f44n[t]^2 - 76135482934093387350*lu1^3*f42[t]*f44n[t]^2 - 27317923267595889978* lu1^4*f42[t]*f44n[t]^2 + 61993673184164939977158*lu1^5*f42[t]* f44n[t]^2 + 108317222271828088720614*lu1^6*f42[t]*f44n[t]^2 - 4411776431957660217045426*lu1^7*f42[t]*f44n[t]^2 + 18540282838858902729029100*lu1^8*f42[t]*f44n[t]^2 - 96338490720963431878828296*lu1^9*f42[t]*f44n[t]^2 - 335424639326203564734739632*lu1^10*f42[t]*f44n[t]^2 + 2141000544528205009818897120*lu1^11*f42[t]*f44n[t]^2 + 7559601219712054605424594752*lu1^12*f42[t]*f44n[t]^2 + 6753446394318551998389863040*lu1^13*f42[t]*f44n[t]^2 + 485325463414085292525139200*lu1^14*f42[t]*f44n[t]^2 - 895467709713677549823360000*lu1^15*f42[t]*f44n[t]^2 + 5340404721366*Sqrt[5]*f40[t]*f42[t]*g20[t] - 205466047684326*Sqrt[5]* lu1*f40[t]*f42[t]*g20[t] - 14768830201950396*Sqrt[5]*lu1^2*f40[t]* f42[t]*g20[t] + 463134252871392102*Sqrt[5]*lu1^3*f40[t]*f42[t]* g20[t] + 9428105344124347452*Sqrt[5]*lu1^4*f40[t]*f42[t]*g20[t] - 229163400875594864250*Sqrt[5]*lu1^5*f40[t]*f42[t]*g20[t] - 1585270996347132928548*Sqrt[5]*lu1^6*f40[t]*f42[t]*g20[t] + 26544670573776731170938*Sqrt[5]*lu1^7*f40[t]*f42[t]*g20[t] + 105638876897451025628214*Sqrt[5]*lu1^8*f40[t]*f42[t]*g20[t] - 237671335592540035407936*Sqrt[5]*lu1^9*f40[t]*f42[t]*g20[t] + 1664001677322060305084856*Sqrt[5]*lu1^10*f40[t]*f42[t]*g20[t] - 23020575468150660084951552*Sqrt[5]*lu1^11*f40[t]*f42[t]*g20[t] - 113528114863357035124689120*Sqrt[5]*lu1^12*f40[t]*f42[t]*g20[t] - 134026700436747990286272000*Sqrt[5]*lu1^13*f40[t]*f42[t]*g20[t] - 30086181826562551657968000*Sqrt[5]*lu1^14*f40[t]*f42[t]*g20[t] + 10664385294941493635520000*Sqrt[5]*lu1^15*f40[t]*f42[t]*g20[t] + 2658003670530*Sqrt[14]*f42[t]*f44[t]*g20[t] - 86051308694130*Sqrt[14]* lu1*f42[t]*f44[t]*g20[t] - 5233326562070100*Sqrt[14]*lu1^2*f42[t]* f44[t]*g20[t] + 123695882227851570*Sqrt[14]*lu1^3*f42[t]*f44[t]* g20[t] - 449191131937636140*Sqrt[14]*lu1^4*f42[t]*f44[t]*g20[t] - 10821657502718486190*Sqrt[14]*lu1^5*f42[t]*f44[t]*g20[t] - 4375695466749098700*Sqrt[14]*lu1^6*f42[t]*f44[t]*g20[t] + 2315032202256766460910*Sqrt[14]*lu1^7*f42[t]*f44[t]*g20[t] + 17244190827000118117890*Sqrt[14]*lu1^8*f42[t]*f44[t]*g20[t] + 1298233505809078038720*Sqrt[14]*lu1^9*f42[t]*f44[t]*g20[t] + 1369674321120772616313000*Sqrt[14]*lu1^10*f42[t]*f44[t]*g20[t] - 6889367991057579026887680*Sqrt[14]*lu1^11*f42[t]*f44[t]*g20[t] - 46393677002430844418386080*Sqrt[14]*lu1^12*f42[t]*f44[t]*g20[t] - 70991858345442503580633600*Sqrt[14]*lu1^13*f42[t]*f44[t]*g20[t] - 36801509195836929490128000*Sqrt[14]*lu1^14*f42[t]*f44[t]*g20[t] - 5186640613875205867200000*Sqrt[14]*lu1^15*f42[t]*f44[t]*g20[t] - 289214821350*Sqrt[42]*f22n[t]*f44n[t]*g20[t] + 12914948366190*Sqrt[42]*lu1*f22n[t]*f44n[t]*g20[t] + 778343934314115*Sqrt[42]*lu1^2*f22n[t]*f44n[t]*g20[t] - 31414221041161140*Sqrt[42]*lu1^3*f22n[t]*f44n[t]*g20[t] - 516283205686135095*Sqrt[42]*lu1^4*f22n[t]*f44n[t]*g20[t] + 18868160291733566970*Sqrt[42]*lu1^5*f22n[t]*f44n[t]*g20[t] + 157676990814686264025*Sqrt[42]*lu1^6*f22n[t]*f44n[t]*g20[t] - 3766350915658448142480*Sqrt[42]*lu1^7*f22n[t]*f44n[t]*g20[t] - 29068504035537635106555*Sqrt[42]*lu1^8*f22n[t]*f44n[t]*g20[t] + 174679013579220253020060*Sqrt[42]*lu1^9*f22n[t]*f44n[t]*g20[t] + 2312937591464439838511340*Sqrt[42]*lu1^10*f22n[t]*f44n[t]*g20[t] + 10510493953139450202323040*Sqrt[42]*lu1^11*f22n[t]*f44n[t]*g20[t] + 6338152516812353629295280*Sqrt[42]*lu1^12*f22n[t]*f44n[t]*g20[t] - 13676458149552154186651200*Sqrt[42]*lu1^13*f22n[t]*f44n[t]*g20[t] - 15570351007786032256344000*Sqrt[42]*lu1^14*f22n[t]*f44n[t]*g20[t] - 6029876942224459309440000*Sqrt[42]*lu1^15*f22n[t]*f44n[t]*g20[t] + 2658003670530*Sqrt[14]*f42n[t]*f44n[t]*g20[t] - 86051308694130*Sqrt[14]*lu1*f42n[t]*f44n[t]*g20[t] - 5233326562070100*Sqrt[14]*lu1^2*f42n[t]*f44n[t]*g20[t] + 123695882227851570*Sqrt[14]*lu1^3*f42n[t]*f44n[t]*g20[t] - 449191131937636140*Sqrt[14]*lu1^4*f42n[t]*f44n[t]*g20[t] - 10821657502718486190*Sqrt[14]*lu1^5*f42n[t]*f44n[t]*g20[t] - 4375695466749098700*Sqrt[14]*lu1^6*f42n[t]*f44n[t]*g20[t] + 2315032202256766460910*Sqrt[14]*lu1^7*f42n[t]*f44n[t]*g20[t] + 17244190827000118117890*Sqrt[14]*lu1^8*f42n[t]*f44n[t]*g20[t] + 1298233505809078038720*Sqrt[14]*lu1^9*f42n[t]*f44n[t]*g20[t] + 1369674321120772616313000*Sqrt[14]*lu1^10*f42n[t]*f44n[t]*g20[t] - 6889367991057579026887680*Sqrt[14]*lu1^11*f42n[t]*f44n[t]*g20[t] - 46393677002430844418386080*Sqrt[14]*lu1^12*f42n[t]*f44n[t]*g20[t] - 70991858345442503580633600*Sqrt[14]*lu1^13*f42n[t]*f44n[t]*g20[t] - 36801509195836929490128000*Sqrt[14]*lu1^14*f42n[t]*f44n[t]*g20[t] - 5186640613875205867200000*Sqrt[14]*lu1^15*f42n[t]*f44n[t]*g20[t] + 246282495030*Sqrt[3]*f22n[t]^2*g22[t] - 10542994978230*Sqrt[3]*lu1* f22n[t]^2*g22[t] - 709568282438730*Sqrt[3]*lu1^2*f22n[t]^2*g22[t] + 26852538905001810*Sqrt[3]*lu1^3*f22n[t]^2*g22[t] + 540724351798698210*Sqrt[3]*lu1^4*f22n[t]^2*g22[t] - 18145378778194346250*Sqrt[3]*lu1^5*f22n[t]^2*g22[t] - 164626472770012528990*Sqrt[3]*lu1^6*f22n[t]^2*g22[t] + 4350569716406690852790*Sqrt[3]*lu1^7*f22n[t]^2*g22[t] + 27830480925978359691920*Sqrt[3]*lu1^8*f22n[t]^2*g22[t] - 360036922559016183618280*Sqrt[3]*lu1^9*f22n[t]^2*g22[t] - 2097857933707234013835520*Sqrt[3]*lu1^10*f22n[t]^2*g22[t] + 972235437895183871620640*Sqrt[3]*lu1^11*f22n[t]^2*g22[t] - 27922886943866377976198400*Sqrt[3]*lu1^12*f22n[t]^2*g22[t] - 61127961760803106744432000*Sqrt[3]*lu1^13*f22n[t]^2*g22[t] - 21447088417199863978560000*Sqrt[3]*lu1^14*f22n[t]^2*g22[t] + 4161231762033727180800000*Sqrt[3]*lu1^15*f22n[t]^2*g22[t] - 305320082535*Sqrt[3]*f40[t]^2*g22[t] + 25846222533885*Sqrt[3]*lu1* f40[t]^2*g22[t] - 86041216736865*Sqrt[3]*lu1^2*f40[t]^2*g22[t] - 63516436765895295*Sqrt[3]*lu1^3*f40[t]^2*g22[t] + 1236092566341621105*Sqrt[3]*lu1^4*f40[t]^2*g22[t] + 55227302699418350475*Sqrt[3]*lu1^5*f40[t]^2*g22[t] + 319590397037524150005*Sqrt[3]*lu1^6*f40[t]^2*g22[t] - 21217110754228623545805*Sqrt[3]*lu1^7*f40[t]^2*g22[t] - 94766303793155280281190*Sqrt[3]*lu1^8*f40[t]^2*g22[t] + 1215292884072552420163860*Sqrt[3]*lu1^9*f40[t]^2*g22[t] + 398484752203833499025640*Sqrt[3]*lu1^10*f40[t]^2*g22[t] - 3827785469396337638401680*Sqrt[3]*lu1^11*f40[t]^2*g22[t] + 16152011854457572157906400*Sqrt[3]*lu1^12*f40[t]^2*g22[t] + 39203415281045847891384000*Sqrt[3]*lu1^13*f40[t]^2*g22[t] + 19521066335551440550800000*Sqrt[3]*lu1^14*f40[t]^2*g22[t] + 1073262918260420596800000*Sqrt[3]*lu1^15*f40[t]^2*g22[t] - 5526950576940*Sqrt[3]*f42[t]^2*g22[t] + 182449239291540*Sqrt[3]*lu1* f42[t]^2*g22[t] + 13558795730113140*Sqrt[3]*lu1^2*f42[t]^2*g22[t] - 325065839622139980*Sqrt[3]*lu1^3*f42[t]^2*g22[t] - 5178870404541561780*Sqrt[3]*lu1^4*f42[t]^2*g22[t] + 83025125364767652300*Sqrt[3]*lu1^5*f42[t]^2*g22[t] + 542068158588087759420*Sqrt[3]*lu1^6*f42[t]^2*g22[t] + 1000482413861639046780*Sqrt[3]*lu1^7*f42[t]^2*g22[t] + 2875381954298573606640*Sqrt[3]*lu1^8*f42[t]^2*g22[t] - 854913245218549176138960*Sqrt[3]*lu1^9*f42[t]^2*g22[t] - 2748742015064998337461440*Sqrt[3]*lu1^10*f42[t]^2*g22[t] + 22610112099159575684566080*Sqrt[3]*lu1^11*f42[t]^2*g22[t] + 97968404450948444990803200*Sqrt[3]*lu1^12*f42[t]^2*g22[t] + 118474452729886904340768000*Sqrt[3]*lu1^13*f42[t]^2*g22[t] + 42361331906649874460160000*Sqrt[3]*lu1^14*f42[t]^2*g22[t] - 139722265891343116800000*Sqrt[3]*lu1^15*f42[t]^2*g22[t] - 5672068971660*f22n[t]*f42n[t]*g22[t] + 189029044701900*lu1*f22n[t]* f42n[t]*g22[t] + 18142167438288270*lu1^2*f22n[t]*f42n[t]*g22[t] - 464617718311350240*lu1^3*f22n[t]*f42n[t]*g22[t] - 14726314790695582230*lu1^4*f22n[t]*f42n[t]*g22[t] + 270510569032966165020*lu1^5*f22n[t]*f42n[t]*g22[t] + 1988984091327032011290*lu1^6*f22n[t]*f42n[t]*g22[t] - 16561758979544128339080*lu1^7*f22n[t]*f42n[t]*g22[t] - 188167328913948766074030*lu1^8*f22n[t]*f42n[t]*g22[t] - 1619981243667938999664960*lu1^9*f22n[t]*f42n[t]*g22[t] + 13209544261910236374268680*lu1^10*f22n[t]*f42n[t]*g22[t] + 133733215653135382796004480*lu1^11*f22n[t]*f42n[t]*g22[t] + 176721207614431560987934560*lu1^12*f22n[t]*f42n[t]*g22[t] - 159751151585590656451776000*lu1^13*f22n[t]*f42n[t]*g22[t] - 365889509264164485586896000*lu1^14*f22n[t]*f42n[t]*g22[t] - 145108996921957833273600000*lu1^15*f22n[t]*f42n[t]*g22[t] - 1243469872710*Sqrt[3]*f42n[t]^2*g22[t] + 82732310777610*Sqrt[3]*lu1* f42n[t]^2*g22[t] + 9104345384445090*Sqrt[3]*lu1^2*f42n[t]^2*g22[t] - 360055099031101110*Sqrt[3]*lu1^3*f42n[t]^2*g22[t] - 15759572872567259970*Sqrt[3]*lu1^4*f42n[t]^2*g22[t] + 294600036476828740710*Sqrt[3]*lu1^5*f42n[t]^2*g22[t] + 2239131097038816986070*Sqrt[3]*lu1^6*f42n[t]^2*g22[t] - 25542581053331731185810*Sqrt[3]*lu1^7*f42n[t]^2*g22[t] - 77441316761414131035120*Sqrt[3]*lu1^8*f42n[t]^2*g22[t] - 126364566475688219856840*Sqrt[3]*lu1^9*f42n[t]^2*g22[t] + 768789385937307683544960*Sqrt[3]*lu1^10*f42n[t]^2*g22[t] + 18838557412340577615568800*Sqrt[3]*lu1^11*f42n[t]^2*g22[t] + 47847175047175412777905920*Sqrt[3]*lu1^12*f42n[t]^2*g22[t] + 7879038679097387321270400*Sqrt[3]*lu1^13*f42n[t]^2*g22[t] - 54682926783969072458688000*Sqrt[3]*lu1^14*f42n[t]^2*g22[t] - 29392484644404423360000000*Sqrt[3]*lu1^15*f42n[t]^2*g22[t] + 1649874414006*Sqrt[210]*f40[t]*f44[t]*g22[t] - 47029050115866*Sqrt[210]*lu1*f40[t]*f44[t]*g22[t] - 3523300861408146*Sqrt[210]*lu1^2*f40[t]*f44[t]*g22[t] + 57057346778876262*Sqrt[210]*lu1^3*f40[t]*f44[t]*g22[t] + 194976271911557682*Sqrt[210]*lu1^4*f40[t]*f44[t]*g22[t] + 14876482744621682730*Sqrt[210]*lu1^5*f40[t]*f44[t]*g22[t] + 124919028503843594202*Sqrt[210]*lu1^6*f40[t]*f44[t]*g22[t] - 6943489500186938444382*Sqrt[210]*lu1^7*f40[t]*f44[t]*g22[t] - 26410394299262033367216*Sqrt[210]*lu1^8*f40[t]*f44[t]*g22[t] + 486982642632893686758024*Sqrt[210]*lu1^9*f40[t]*f44[t]*g22[t] + 1072510114962048477152256*Sqrt[210]*lu1^10*f40[t]*f44[t]*g22[t] - 6124026181796921073285792*Sqrt[210]*lu1^11*f40[t]*f44[t]*g22[t] - 24468313259837534082428160*Sqrt[210]*lu1^12*f40[t]*f44[t]*g22[t] - 31646539451209996563868800*Sqrt[210]*lu1^13*f40[t]*f44[t]*g22[t] - 16725912929670710106432000*Sqrt[210]*lu1^14*f40[t]*f44[t]*g22[t] - 3028455241945969006080000*Sqrt[210]*lu1^15*f40[t]*f44[t]*g22[t] + 12086427790710*Sqrt[3]*f44[t]^2*g22[t] - 437284167457410*Sqrt[3]*lu1* f44[t]^2*g22[t] - 33129794238698430*Sqrt[3]*lu1^2*f44[t]^2*g22[t] + 932512703108944230*Sqrt[3]*lu1^3*f44[t]^2*g22[t] + 20040061013233549470*Sqrt[3]*lu1^4*f44[t]^2*g22[t] - 399268476847033365390*Sqrt[3]*lu1^5*f44[t]^2*g22[t] - 2789950646560402942890*Sqrt[3]*lu1^6*f44[t]^2*g22[t] + 29172163043983625060850*Sqrt[3]*lu1^7*f44[t]^2*g22[t] + 109054316461115793664260*Sqrt[3]*lu1^8*f44[t]^2*g22[t] + 983874278705855552073240*Sqrt[3]*lu1^9*f44[t]^2*g22[t] + 4719301271369235886542480*Sqrt[3]*lu1^10*f44[t]^2*g22[t] - 55227405493615311353910240*Sqrt[3]*lu1^11*f44[t]^2*g22[t] - 238602933502985546605481280*Sqrt[3]*lu1^12*f44[t]^2*g22[t] - 268337208099869298823305600*Sqrt[3]*lu1^13*f44[t]^2*g22[t] - 61281423514354660981728000*Sqrt[3]*lu1^14*f44[t]^2*g22[t] + 19158925682545354742400000*Sqrt[3]*lu1^15*f44[t]^2*g22[t] + 12086427790710*Sqrt[3]*f44n[t]^2*g22[t] - 437284167457410*Sqrt[3]*lu1* f44n[t]^2*g22[t] - 33129794238698430*Sqrt[3]*lu1^2*f44n[t]^2* g22[t] + 932512703108944230*Sqrt[3]*lu1^3*f44n[t]^2*g22[t] + 20040061013233549470*Sqrt[3]*lu1^4*f44n[t]^2*g22[t] - 399268476847033365390*Sqrt[3]*lu1^5*f44n[t]^2*g22[t] - 2789950646560402942890*Sqrt[3]*lu1^6*f44n[t]^2*g22[t] + 29172163043983625060850*Sqrt[3]*lu1^7*f44n[t]^2*g22[t] + 109054316461115793664260*Sqrt[3]*lu1^8*f44n[t]^2*g22[t] + 983874278705855552073240*Sqrt[3]*lu1^9*f44n[t]^2*g22[t] + 4719301271369235886542480*Sqrt[3]*lu1^10*f44n[t]^2*g22[t] - 55227405493615311353910240*Sqrt[3]*lu1^11*f44n[t]^2*g22[t] - 238602933502985546605481280*Sqrt[3]*lu1^12*f44n[t]^2*g22[t] - 268337208099869298823305600*Sqrt[3]*lu1^13*f44n[t]^2*g22[t] - 61281423514354660981728000*Sqrt[3]*lu1^14*f44n[t]^2*g22[t] + 19158925682545354742400000*Sqrt[3]*lu1^15*f44n[t]^2*g22[t] - 4716470271240*f22n[t]*f42[t]*g22n[t] + 218387444241330*lu1*f22n[t]* f42[t]*g22n[t] + 8942813741894760*lu1^2*f22n[t]*f42[t]*g22n[t] - 405012855123816030*lu1^3*f22n[t]*f42[t]*g22n[t] + 397218249914003700*lu1^4*f22n[t]*f42[t]*g22n[t] + 80173879295402859330*lu1^5*f22n[t]*f42[t]*g22n[t] - 682847540497473700440*lu1^6*f22n[t]*f42[t]*g22n[t] + 5201554239727141413390*lu1^7*f22n[t]*f42[t]*g22n[t] + 88367522404017849605340*lu1^8*f22n[t]*f42[t]*g22n[t] - 1619259845223269193044100*lu1^9*f22n[t]*f42[t]*g22n[t] - 6207757257914187360829080*lu1^10*f22n[t]*f42[t]*g22n[t] + 53644050122436371872092000*lu1^11*f22n[t]*f42[t]*g22n[t] + 151026211489753307876663040*lu1^12*f22n[t]*f42[t]*g22n[t] - 25121034056099627023560000*lu1^13*f22n[t]*f42[t]*g22n[t] - 219759857828353650238704000*lu1^14*f22n[t]*f42[t]*g22n[t] - 74596020680466708696000000*lu1^15*f22n[t]*f42[t]*g22n[t] - 4283480704230*Sqrt[3]*f42[t]*f42n[t]*g22n[t] + 99716928513930*Sqrt[3]* lu1*f42[t]*f42n[t]*g22n[t] + 4454450345668050*Sqrt[3]*lu1^2*f42[t]* f42n[t]*g22n[t] + 34989259408961130*Sqrt[3]*lu1^3*f42[t]*f42n[t]* g22n[t] + 10580702468025698190*Sqrt[3]*lu1^4*f42[t]*f42n[t]* g22n[t] - 211574911112061088410*Sqrt[3]*lu1^5*f42[t]*f42n[t]* g22n[t] - 1697062938450729226650*Sqrt[3]*lu1^6*f42[t]*f42n[t]* g22n[t] + 26543063467193370232590*Sqrt[3]*lu1^7*f42[t]*f42n[t]* g22n[t] + 80316698715712704641760*Sqrt[3]*lu1^8*f42[t]*f42n[t]* g22n[t] - 728548678742860956282120*Sqrt[3]*lu1^9*f42[t]*f42n[t]* g22n[t] - 3517531401002306021006400*Sqrt[3]*lu1^10*f42[t]*f42n[t]* g22n[t] + 3771554686818998068997280*Sqrt[3]*lu1^11*f42[t]*f42n[t]* g22n[t] + 50121229403773032212897280*Sqrt[3]*lu1^12*f42[t]*f42n[t]* g22n[t] + 110595414050789517019497600*Sqrt[3]*lu1^13*f42[t]*f42n[t]* g22n[t] + 97044258690618946918848000*Sqrt[3]*lu1^14*f42[t]*f42n[t]* g22n[t] + 29252762378513080243200000*Sqrt[3]*lu1^15*f42[t]*f42n[t]* g22n[t] + 1649874414006*Sqrt[210]*f40[t]*f44n[t]*g22n[t] - 47029050115866*Sqrt[210]*lu1*f40[t]*f44n[t]*g22n[t] - 3523300861408146*Sqrt[210]*lu1^2*f40[t]*f44n[t]*g22n[t] + 57057346778876262*Sqrt[210]*lu1^3*f40[t]*f44n[t]*g22n[t] + 194976271911557682*Sqrt[210]*lu1^4*f40[t]*f44n[t]*g22n[t] + 14876482744621682730*Sqrt[210]*lu1^5*f40[t]*f44n[t]*g22n[t] + 124919028503843594202*Sqrt[210]*lu1^6*f40[t]*f44n[t]*g22n[t] - 6943489500186938444382*Sqrt[210]*lu1^7*f40[t]*f44n[t]*g22n[t] - 26410394299262033367216*Sqrt[210]*lu1^8*f40[t]*f44n[t]*g22n[t] + 486982642632893686758024*Sqrt[210]*lu1^9*f40[t]*f44n[t]*g22n[t] + 1072510114962048477152256*Sqrt[210]*lu1^10*f40[t]*f44n[t]*g22n[t] - 6124026181796921073285792*Sqrt[210]*lu1^11*f40[t]*f44n[t]*g22n[t] - 24468313259837534082428160*Sqrt[210]*lu1^12*f40[t]*f44n[t]*g22n[t] - 31646539451209996563868800*Sqrt[210]*lu1^13*f40[t]*f44n[t]*g22n[t] - 16725912929670710106432000*Sqrt[210]*lu1^14*f40[t]*f44n[t]*g22n[t] - 3028455241945969006080000*Sqrt[210]*lu1^15*f40[t]*f44n[t]*g22n[t] - 10722205107765*f40[t]*f42[t]*g40[t] + 540369374235615*lu1*f40[t]* f42[t]*g40[t] + 9591827177609865*lu1^2*f40[t]*f42[t]*g40[t] - 614606944393262205*lu1^3*f40[t]*f42[t]*g40[t] - 1780888685304601305*lu1^4*f40[t]*f42[t]*g40[t] + 187513786381390947225*lu1^5*f40[t]*f42[t]*g40[t] - 608846538493435077405*lu1^6*f40[t]*f42[t]*g40[t] - 11439239105445499543095*lu1^7*f40[t]*f42[t]*g40[t] + 153898256434802944737690*lu1^8*f40[t]*f42[t]*g40[t] - 484107589332967571578260*lu1^9*f40[t]*f42[t]*g40[t] - 11602303441923743281598040*lu1^10*f40[t]*f42[t]*g40[t] + 18043264158986403097364880*lu1^11*f40[t]*f42[t]*g40[t] + 234063249413231992684600800*lu1^12*f40[t]*f42[t]*g40[t] + 477234159542901830740680000*lu1^13*f40[t]*f42[t]*g40[t] + 371624277714663911127120000*lu1^14*f40[t]*f42[t]*g40[t] + 99957479626737698011200000*lu1^15*f40[t]*f42[t]*g40[t] + 162874167795*Sqrt[70]*f42[t]*f44[t]*g40[t] - 686231425305*Sqrt[70]* lu1*f42[t]*f44[t]*g40[t] - 745673207979015*Sqrt[70]*lu1^2*f42[t]* f44[t]*g40[t] + 3950591471618715*Sqrt[70]*lu1^3*f42[t]*f44[t]* g40[t] + 466412303317243095*Sqrt[70]*lu1^4*f42[t]*f44[t]*g40[t] + 4442092093352880945*Sqrt[70]*lu1^5*f42[t]*f44[t]*g40[t] - 2454852554315894925*Sqrt[70]*lu1^6*f42[t]*f44[t]*g40[t] - 2955648667941149816655*Sqrt[70]*lu1^7*f42[t]*f44[t]*g40[t] - 10170538521399116557470*Sqrt[70]*lu1^8*f42[t]*f44[t]*g40[t] + 204294828154335364321740*Sqrt[70]*lu1^9*f42[t]*f44[t]*g40[t] + 62191405652903581831560*Sqrt[70]*lu1^10*f42[t]*f44[t]*g40[t] - 1687890135882838946125680*Sqrt[70]*lu1^11*f42[t]*f44[t]*g40[t] - 877520913227398005040800*Sqrt[70]*lu1^12*f42[t]*f44[t]*g40[t] + 4241855139826048460424000*Sqrt[70]*lu1^13*f42[t]*f44[t]*g40[t] + 5095541159352892014480000*Sqrt[70]*lu1^14*f42[t]*f44[t]*g40[t] + 1574937086965607534400000*Sqrt[70]*lu1^15*f42[t]*f44[t]*g40[t] + 28408349970*Sqrt[210]*f22n[t]*f44n[t]*g40[t] - 1217559195567*Sqrt[210]*lu1*f22n[t]*f44n[t]*g40[t] - 85482140259087*Sqrt[210]*lu1^2*f22n[t]*f44n[t]*g40[t] + 3160740473553663*Sqrt[210]*lu1^3*f22n[t]*f44n[t]*g40[t] + 74254522428506277*Sqrt[210]*lu1^4*f22n[t]*f44n[t]*g40[t] - 2143459533936192615*Sqrt[210]*lu1^5*f22n[t]*f44n[t]*g40[t] - 28644102247518934605*Sqrt[210]*lu1^6*f22n[t]*f44n[t]*g40[t] + 426126238819148648781*Sqrt[210]*lu1^7*f22n[t]*f44n[t]*g40[t] + 5209159556727189066861*Sqrt[210]*lu1^8*f22n[t]*f44n[t]*g40[t] - 1972271960443737884646*Sqrt[210]*lu1^9*f22n[t]*f44n[t]*g40[t] - 355067375509345510491480*Sqrt[210]*lu1^10*f22n[t]*f44n[t]*g40[t] - 3030301959541682355973872*Sqrt[210]*lu1^11*f22n[t]*f44n[t]*g40[t] - 1475398660679318484560880*Sqrt[210]*lu1^12*f22n[t]*f44n[t]*g40[t] + 12974052818764815979687200*Sqrt[210]*lu1^13*f22n[t]*f44n[t]*g40[t] + 18035983311287921467488000*Sqrt[210]*lu1^14*f22n[t]*f44n[t]*g40[t] + 5629308915901562892000000*Sqrt[210]*lu1^15*f22n[t]*f44n[t]*g40[t] + 162874167795*Sqrt[70]*f42n[t]*f44n[t]*g40[t] - 686231425305*Sqrt[70]* lu1*f42n[t]*f44n[t]*g40[t] - 745673207979015*Sqrt[70]*lu1^2*f42n[t]* f44n[t]*g40[t] + 3950591471618715*Sqrt[70]*lu1^3*f42n[t]*f44n[t]* g40[t] + 466412303317243095*Sqrt[70]*lu1^4*f42n[t]*f44n[t]*g40[t] + 4442092093352880945*Sqrt[70]*lu1^5*f42n[t]*f44n[t]*g40[t] - 2454852554315894925*Sqrt[70]*lu1^6*f42n[t]*f44n[t]*g40[t] - 2955648667941149816655*Sqrt[70]*lu1^7*f42n[t]*f44n[t]*g40[t] - 10170538521399116557470*Sqrt[70]*lu1^8*f42n[t]*f44n[t]*g40[t] + 204294828154335364321740*Sqrt[70]*lu1^9*f42n[t]*f44n[t]*g40[t] + 62191405652903581831560*Sqrt[70]*lu1^10*f42n[t]*f44n[t]*g40[t] - 1687890135882838946125680*Sqrt[70]*lu1^11*f42n[t]*f44n[t]*g40[t] - 877520913227398005040800*Sqrt[70]*lu1^12*f42n[t]*f44n[t]*g40[t] + 4241855139826048460424000*Sqrt[70]*lu1^13*f42n[t]*f44n[t]*g40[t] + 5095541159352892014480000*Sqrt[70]*lu1^14*f42n[t]*f44n[t]*g40[t] + 1574937086965607534400000*Sqrt[70]*lu1^15*f42n[t]*f44n[t]*g40[t] + 318889488060*f22n[t]^2*g42[t] - 15626790010260*lu1*f22n[t]^2*g42[t] - 777179806834860*lu1^2*f22n[t]^2*g42[t] + 38005696887778620*lu1^3* f22n[t]^2*g42[t] + 333643345408907820*lu1^4*f22n[t]^2*g42[t] - 22042762960700839500*lu1^5*f22n[t]^2*g42[t] + 20206306686131614620* lu1^6*f22n[t]^2*g42[t] + 3789602160329400566580*lu1^7*f22n[t]^2* g42[t] - 10807020307508151200760*lu1^8*f22n[t]^2*g42[t] - 222694291084526191204560*lu1^9*f22n[t]^2*g42[t] + 812649573333719023462560*lu1^10*f22n[t]^2*g42[t] + 2948171804705470356636480*lu1^11*f22n[t]^2*g42[t] - 24685051391296151857372800*lu1^12*f22n[t]^2*g42[t] - 78512577001159084733664000*lu1^13*f22n[t]^2*g42[t] - 73771941150601233059520000*lu1^14*f22n[t]^2*g42[t] - 22057472874862775750400000*lu1^15*f22n[t]^2*g42[t] + 2835862834275*f40[t]^2*g42[t] - 17746220578545*lu1*f40[t]^2*g42[t] - 11239837493911155*lu1^2*f40[t]^2*g42[t] + 82598470293765195*lu1^3* f40[t]^2*g42[t] + 2755825869418292835*lu1^4*f40[t]^2*g42[t] + 55052222624443094985*lu1^5*f40[t]^2*g42[t] - 161702777734458246225* lu1^6*f40[t]^2*g42[t] - 21915109057879101640815*lu1^7*f40[t]^2* g42[t] - 23938462736596831022010*lu1^8*f40[t]^2*g42[t] + 1497198281940396016700220*lu1^9*f40[t]^2*g42[t] + 68242723330565320288920*lu1^10*f40[t]^2*g42[t] - 19260760731058513237471920*lu1^11*f40[t]^2*g42[t] - 24987448951355559974254560*lu1^12*f40[t]^2*g42[t] + 29490833642445550147060800*lu1^13*f40[t]^2*g42[t] + 63064760517976948207344000*lu1^14*f40[t]^2*g42[t] + 25214036959998482904000000*lu1^15*f40[t]^2*g42[t] - 25002391977252*f42[t]^2*g42[t] + 940238322666588*lu1*f42[t]^2* g42[t] + 36969372713331036*lu1^2*f42[t]^2*g42[t] - 963484509319702020*lu1^3*f42[t]^2*g42[t] + 480984740688336228*lu1^4* f42[t]^2*g42[t] - 83065426841228354748*lu1^5*f42[t]^2*g42[t] - 2905438521577418751564*lu1^6*f42[t]^2*g42[t] + 79390052490817031825556*lu1^7*f42[t]^2*g42[t] + 534748577878612614472560*lu1^8*f42[t]^2*g42[t] - 6010500151778740527627504*lu1^9*f42[t]^2*g42[t] - 22761206058599161869336768*lu1^10*f42[t]^2*g42[t] + 69163215310260207949037760*lu1^11*f42[t]^2*g42[t] + 431076863733055400995699968*lu1^12*f42[t]^2*g42[t] + 751680172350669734520456960*lu1^13*f42[t]^2*g42[t] + 554415089628215733678028800*lu1^14*f42[t]^2*g42[t] + 147153027715806969884160000*lu1^15*f42[t]^2*g42[t] - 547559010180*Sqrt[3]*f22n[t]*f42n[t]*g42[t] - 191966206770*Sqrt[3]* lu1*f22n[t]*f42n[t]*g42[t] + 3174134900747850*Sqrt[3]*lu1^2*f22n[t]* f42n[t]*g42[t] - 22516303348956690*Sqrt[3]*lu1^3*f22n[t]*f42n[t]* g42[t] - 4304677934663355990*Sqrt[3]*lu1^4*f22n[t]*f42n[t]*g42[t] + 39440951286012200730*Sqrt[3]*lu1^5*f22n[t]*f42n[t]*g42[t] + 714733162692488659590*Sqrt[3]*lu1^6*f22n[t]*f42n[t]*g42[t] + 121338091575112604010*Sqrt[3]*lu1^7*f22n[t]*f42n[t]*g42[t] - 62752721943922426742430*Sqrt[3]*lu1^8*f22n[t]*f42n[t]*g42[t] - 612819619104639166471680*Sqrt[3]*lu1^9*f22n[t]*f42n[t]*g42[t] + 2978718379443504409300680*Sqrt[3]*lu1^10*f22n[t]*f42n[t]*g42[t] + 23532393746820809637658560*Sqrt[3]*lu1^11*f22n[t]*f42n[t]*g42[t] + 13354256458838418104922720*Sqrt[3]*lu1^12*f22n[t]*f42n[t]*g42[t] - 86250828287893400123366400*Sqrt[3]*lu1^13*f22n[t]*f42n[t]*g42[t] - 132095577922049786610384000*Sqrt[3]*lu1^14*f22n[t]*f42n[t]*g42[t] - 49979174583513258982080000*Sqrt[3]*lu1^15*f22n[t]*f42n[t]*g42[t] + 1996301731266*f42n[t]^2*g42[t] - 182528547696774*lu1*f42n[t]^2* g42[t] + 4072909848653862*lu1^2*f42n[t]^2*g42[t] + 135031544929690290*lu1^3*f42n[t]^2*g42[t] + 184219206278174586*lu1^4* f42n[t]^2*g42[t] - 69573002897403871146*lu1^5*f42n[t]^2*g42[t] + 621842595370799668002*lu1^6*f42n[t]^2*g42[t] + 1086645197636560420182* lu1^7*f42n[t]^2*g42[t] - 132665844905559220213620*lu1^8*f42n[t]^2* g42[t] + 252553954454419726471752*lu1^9*f42n[t]^2*g42[t] + 4997946368889617980004784*lu1^10*f42n[t]^2*g42[t] + 2790850780831814879222880*lu1^11*f42n[t]^2*g42[t] - 61984453117239262254849984*lu1^12*f42n[t]^2*g42[t] - 177432951014217773087460480*lu1^13*f42n[t]^2*g42[t] - 176649918350309016386054400*lu1^14*f42n[t]^2*g42[t] - 57196361897328465866880000*lu1^15*f42n[t]^2*g42[t] + 239335792794*Sqrt[70]*f40[t]*f44[t]*g42[t] + 7801523135154*Sqrt[70]* lu1*f40[t]*f44[t]*g42[t] - 973881748078722*Sqrt[70]*lu1^2*f40[t]* f44[t]*g42[t] - 14056230221561430*Sqrt[70]*lu1^3*f40[t]*f44[t]* g42[t] - 842892588621891486*Sqrt[70]*lu1^4*f40[t]*f44[t]*g42[t] + 25903414477757285406*Sqrt[70]*lu1^5*f40[t]*f44[t]*g42[t] + 88440718728323551338*Sqrt[70]*lu1^6*f40[t]*f44[t]*g42[t] - 3033524020289102460162*Sqrt[70]*lu1^7*f40[t]*f44[t]*g42[t] + 3514812319398209418540*Sqrt[70]*lu1^8*f40[t]*f44[t]*g42[t] + 83452070446039317348648*Sqrt[70]*lu1^9*f40[t]*f44[t]*g42[t] - 143173548770329248557904*Sqrt[70]*lu1^10*f40[t]*f44[t]*g42[t] - 1007783511157042203417120*Sqrt[70]*lu1^11*f40[t]*f44[t]*g42[t] + 963699205477089750387264*Sqrt[70]*lu1^12*f40[t]*f44[t]*g42[t] + 7543013027696374135582080*Sqrt[70]*lu1^13*f40[t]*f44[t]*g42[t] + 9092365854992133419462400*Sqrt[70]*lu1^14*f40[t]*f44[t]*g42[t] + 3167881262252380356480000*Sqrt[70]*lu1^15*f40[t]*f44[t]*g42[t] + 2179272064914*f44[t]^2*g42[t] - 85383808944966*lu1*f44[t]^2*g42[t] - 7384027950135522*lu1^2*f44[t]^2*g42[t] + 226136319848381250*lu1^3* f44[t]^2*g42[t] + 6717799486679863554*lu1^4*f44[t]^2*g42[t] - 127236243250431299754*lu1^5*f44[t]^2*g42[t] - 945785732230586323062* lu1^6*f44[t]^2*g42[t] + 9942543824400812803878*lu1^7*f44[t]^2* g42[t] + 34833528412810045499700*lu1^8*f44[t]^2*g42[t] + 203269880296926486745128*lu1^9*f44[t]^2*g42[t] + 523049810679240257132496*lu1^10*f44[t]^2*g42[t] - 13126947597548434891211040*lu1^11*f44[t]^2*g42[t] - 47681802335117532730913856*lu1^12*f44[t]^2*g42[t] - 41580216409693493611336320*lu1^13*f44[t]^2*g42[t] + 5099732399580736517510400*lu1^14*f44[t]^2*g42[t] + 10397615735846362826880000*lu1^15*f44[t]^2*g42[t] + 2179272064914*f44n[t]^2*g42[t] - 85383808944966*lu1*f44n[t]^2* g42[t] - 7384027950135522*lu1^2*f44n[t]^2*g42[t] + 226136319848381250*lu1^3*f44n[t]^2*g42[t] + 6717799486679863554*lu1^4* f44n[t]^2*g42[t] - 127236243250431299754*lu1^5*f44n[t]^2*g42[t] - 945785732230586323062*lu1^6*f44n[t]^2*g42[t] + 9942543824400812803878* lu1^7*f44n[t]^2*g42[t] + 34833528412810045499700*lu1^8*f44n[t]^2* g42[t] + 203269880296926486745128*lu1^9*f44n[t]^2*g42[t] + 523049810679240257132496*lu1^10*f44n[t]^2*g42[t] - 13126947597548434891211040*lu1^11*f44n[t]^2*g42[t] - 47681802335117532730913856*lu1^12*f44n[t]^2*g42[t] - 41580216409693493611336320*lu1^13*f44n[t]^2*g42[t] + 5099732399580736517510400*lu1^14*f44n[t]^2*g42[t] + 10397615735846362826880000*lu1^15*f44n[t]^2*g42[t] + 3315*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]^2* (715*Sqrt[3]*(241947 - 6850926*lu1 - 120662019*lu1^2 + 3115641324*lu1^3 - 23758357671*lu1^4 + 268250620594*lu1^5 + 6132738734523*lu1^6 - 64511706604928*lu1^7 - 426267487285532* lu1^8 + 219393330033328*lu1^9 + 4232440673020240*lu1^10 + 7652814199497600*lu1^11 + 5124325953016000*lu1^12 + 1175563472160000*lu1^13)*f22[t] + 3*(-303686334 - 4247889327*lu1 - 98805001389*lu1^2 + 21018746033732*lu1^3 - 121587264181560*lu1^4 - 5112255780324031* lu1^5 + 31352531274670675*lu1^6 + 375890274013841394*lu1^7 - 614738195139170960*lu1^8 - 2773372184730984952*lu1^9 + 4857542199542290608*lu1^10 + 14478224890443106400*lu1^11 + 7873426785461654400*lu1^12 + 608965854000336000*lu1^13)*f42[t] - 11*(-1 + 7*lu1 + 170*lu1^2)^2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*(26*Sqrt[3]*(-3 + 11996*lu1 - 450232*lu1^2 + 812014*lu1^3 - 2475173*lu1^4 + 3682710*lu1^5)* g22[t] + 3*(-4119 + 89563*lu1 - 1208801*lu1^2 + 1144577*lu1^3 + 514856*lu1^4 + 14856180*lu1^5)*g42[t])) - 2210*(-9 + 105*lu1 + 20612*lu1^2 + 13692*lu1^3)*f22[t]^2* (3*(2019336570 - 22211950305*lu1 - 637014710957*lu1^2 - 23039119586086*lu1^3 - 311556303405744*lu1^4 + 10069745330414555* lu1^5 - 12887186424897725*lu1^6 - 356655364041220044*lu1^7 + 964959892096274608*lu1^8 + 2974028673559339592*lu1^9 - 2021860184086375680*lu1^10 - 3690275609816330400*lu1^11 + 1305491561405640000*lu1^12)*f42[t] + 11*(-1 + 7*lu1 + 170*lu1^2)^ 2*(-9 + 75*lu1 + 7046*lu1^2 + 9240*lu1^3)* (130*Sqrt[3]*(-1926 + 24147*lu1 + 102611*lu1^2 - 670397*lu1^3 + 3919939*lu1^4 + 1489370*lu1^5)*g22[t] - 9*(-7521 + 144877*lu1 - 1504439*lu1^2 + 821303*lu1^3 + 4811624*lu1^4 + 21383820*lu1^5)*g42[t])) - 324209307240*Sqrt[3]*f22n[t]*f42[t]*g42n[t] + 24996088738530*Sqrt[3]* lu1*f22n[t]*f42[t]*g42n[t] - 258720713809740*Sqrt[3]*lu1^2*f22n[t]* f42[t]*g42n[t] - 35537932481073750*Sqrt[3]*lu1^3*f22n[t]*f42[t]* g42n[t] + 1814273114588920440*Sqrt[3]*lu1^4*f22n[t]*f42[t]*g42n[t] - 10563614302166985150*Sqrt[3]*lu1^5*f22n[t]*f42[t]*g42n[t] - 384407193634767756180*Sqrt[3]*lu1^6*f22n[t]*f42[t]*g42n[t] + 2823404133328176606390*Sqrt[3]*lu1^7*f22n[t]*f42[t]*g42n[t] + 38789687800534234145400*Sqrt[3]*lu1^8*f22n[t]*f42[t]*g42n[t] - 374235297345058334405220*Sqrt[3]*lu1^9*f22n[t]*f42[t]*g42n[t] - 2565568176376240255769640*Sqrt[3]*lu1^10*f22n[t]*f42[t]*g42n[t] + 19632955392292081641066720*Sqrt[3]*lu1^11*f22n[t]*f42[t]*g42n[t] + 30732283836112653698379840*Sqrt[3]*lu1^12*f22n[t]*f42[t]*g42n[t] - 114872156127447232664404800*Sqrt[3]*lu1^13*f22n[t]*f42[t]*g42n[t] - 196365659921453425869648000*Sqrt[3]*lu1^14*f22n[t]*f42[t]*g42n[t] - 55598685641494741287360000*Sqrt[3]*lu1^15*f22n[t]*f42[t]*g42n[t] - 26998693708518*f42[t]*f42n[t]*g42n[t] + 1122766870363362*lu1*f42[t]* f42n[t]*g42n[t] + 32896462864677174*lu1^2*f42[t]*f42n[t]*g42n[t] - 1098516054249392310*lu1^3*f42[t]*f42n[t]*g42n[t] + 296765534410161642*lu1^4*f42[t]*f42n[t]*g42n[t] - 13492423943824483602*lu1^5*f42[t]*f42n[t]*g42n[t] - 3527281116948218419566*lu1^6*f42[t]*f42n[t]*g42n[t] + 78303407293180471405374*lu1^7*f42[t]*f42n[t]*g42n[t] + 667414422784171834686180*lu1^8*f42[t]*f42n[t]*g42n[t] - 6263054106233160254099256*lu1^9*f42[t]*f42n[t]*g42n[t] - 27759152427488779849341552*lu1^10*f42[t]*f42n[t]*g42n[t] + 66372364529428393069814880*lu1^11*f42[t]*f42n[t]*g42n[t] + 493061316850294663250549952*lu1^12*f42[t]*f42n[t]*g42n[t] + 929113123364887507607917440*lu1^13*f42[t]*f42n[t]*g42n[t] + 731065007978524750064083200*lu1^14*f42[t]*f42n[t]*g42n[t] + 204349389613135435751040000*lu1^15*f42[t]*f42n[t]*g42n[t] + 239335792794*Sqrt[70]*f40[t]*f44n[t]*g42n[t] + 7801523135154*Sqrt[70]* lu1*f40[t]*f44n[t]*g42n[t] - 973881748078722*Sqrt[70]*lu1^2*f40[t]* f44n[t]*g42n[t] - 14056230221561430*Sqrt[70]*lu1^3*f40[t]*f44n[t]* g42n[t] - 842892588621891486*Sqrt[70]*lu1^4*f40[t]*f44n[t]*g42n[t] + 25903414477757285406*Sqrt[70]*lu1^5*f40[t]*f44n[t]*g42n[t] + 88440718728323551338*Sqrt[70]*lu1^6*f40[t]*f44n[t]*g42n[t] - 3033524020289102460162*Sqrt[70]*lu1^7*f40[t]*f44n[t]*g42n[t] + 3514812319398209418540*Sqrt[70]*lu1^8*f40[t]*f44n[t]*g42n[t] + 83452070446039317348648*Sqrt[70]*lu1^9*f40[t]*f44n[t]*g42n[t] - 143173548770329248557904*Sqrt[70]*lu1^10*f40[t]*f44n[t]*g42n[t] - 1007783511157042203417120*Sqrt[70]*lu1^11*f40[t]*f44n[t]*g42n[t] + 963699205477089750387264*Sqrt[70]*lu1^12*f40[t]*f44n[t]*g42n[t] + 7543013027696374135582080*Sqrt[70]*lu1^13*f40[t]*f44n[t]*g42n[t] + 9092365854992133419462400*Sqrt[70]*lu1^14*f40[t]*f44n[t]*g42n[t] + 3167881262252380356480000*Sqrt[70]*lu1^15*f40[t]*f44n[t]*g42n[t] + 162874167795*Sqrt[70]*f40[t]*f42[t]*g44[t] - 686231425305*Sqrt[70]* lu1*f40[t]*f42[t]*g44[t] - 745673207979015*Sqrt[70]*lu1^2*f40[t]* f42[t]*g44[t] + 3950591471618715*Sqrt[70]*lu1^3*f40[t]*f42[t]* g44[t] + 466412303317243095*Sqrt[70]*lu1^4*f40[t]*f42[t]*g44[t] + 4442092093352880945*Sqrt[70]*lu1^5*f40[t]*f42[t]*g44[t] - 2454852554315894925*Sqrt[70]*lu1^6*f40[t]*f42[t]*g44[t] - 2955648667941149816655*Sqrt[70]*lu1^7*f40[t]*f42[t]*g44[t] - 10170538521399116557470*Sqrt[70]*lu1^8*f40[t]*f42[t]*g44[t] + 204294828154335364321740*Sqrt[70]*lu1^9*f40[t]*f42[t]*g44[t] + 62191405652903581831560*Sqrt[70]*lu1^10*f40[t]*f42[t]*g44[t] - 1687890135882838946125680*Sqrt[70]*lu1^11*f40[t]*f42[t]*g44[t] - 877520913227398005040800*Sqrt[70]*lu1^12*f40[t]*f42[t]*g44[t] + 4241855139826048460424000*Sqrt[70]*lu1^13*f40[t]*f42[t]*g44[t] + 5095541159352892014480000*Sqrt[70]*lu1^14*f40[t]*f42[t]*g44[t] + 1574937086965607534400000*Sqrt[70]*lu1^15*f40[t]*f42[t]*g44[t] - 28123470922806*f42[t]*f44[t]*g44[t] + 1014907031137314*lu1*f42[t]* f44[t]*g44[t] + 48462114270194478*lu1^2*f42[t]*f44[t]*g44[t] - 1179362417037543270*lu1^3*f42[t]*f44[t]*g44[t] - 6386701442679185166*lu1^4*f42[t]*f44[t]*g44[t] - 13808514698235467154*lu1^5*f42[t]*f44[t]*g44[t] - 2098871145379652030982*lu1^6*f42[t]*f44[t]*g44[t] + 84355544260035222510798*lu1^7*f42[t]*f44[t]*g44[t] + 527958824004802608466860*lu1^8*f42[t]*f44[t]*g44[t] - 7033839576666850424359512*lu1^9*f42[t]*f44[t]*g44[t] - 23252937973504198651644624*lu1^10*f42[t]*f44[t]*g44[t] + 89596102546013176333029600*lu1^11*f42[t]*f44[t]*g44[t] + 480077570436469110826104384*lu1^12*f42[t]*f44[t]*g44[t] + 766549183248115776371076480*lu1^13*f42[t]*f44[t]*g44[t] + 517176276939138468079814400*lu1^14*f42[t]*f44[t]*g44[t] + 126225819586321281348480000*lu1^15*f42[t]*f44[t]*g44[t] - 531710180820*Sqrt[3]*f22n[t]*f44n[t]*g44[t] + 39137988650670*Sqrt[3]* lu1*f22n[t]*f44n[t]*g44[t] - 312017944025970*Sqrt[3]*lu1^2*f22n[t]* f44n[t]*g44[t] - 55617799607673030*Sqrt[3]*lu1^3*f22n[t]*f44n[t]* g44[t] + 2781715516287683430*Sqrt[3]*lu1^4*f22n[t]*f44n[t]*g44[t] - 15932572279189284810*Sqrt[3]*lu1^5*f22n[t]*f44n[t]*g44[t] - 648587769379708941510*Sqrt[3]*lu1^6*f22n[t]*f44n[t]*g44[t] + 3626110168714699834350*Sqrt[3]*lu1^7*f22n[t]*f44n[t]*g44[t] + 73152605881872568022790*Sqrt[3]*lu1^8*f22n[t]*f44n[t]*g44[t] - 194354804196007696981740*Sqrt[3]*lu1^9*f22n[t]*f44n[t]*g44[t] - 4509738633805897234491840*Sqrt[3]*lu1^10*f22n[t]*f44n[t]*g44[t] - 2691940207552803145192800*Sqrt[3]*lu1^11*f22n[t]*f44n[t]*g44[t] + 26007816081393976086173280*Sqrt[3]*lu1^12*f22n[t]*f44n[t]*g44[t] + 20756109527390835034382400*Sqrt[3]*lu1^13*f22n[t]*f44n[t]*g44[t] - 10752445000280151002016000*Sqrt[3]*lu1^14*f22n[t]*f44n[t]*g44[t] + 1681679332372440098880000*Sqrt[3]*lu1^15*f22n[t]*f44n[t]*g44[t] - 297161559954*f42n[t]*f44n[t]*g44[t] - 124100002935594*lu1*f42n[t]* f44n[t]*g44[t] + 23573784636711162*lu1^2*f42n[t]*f44n[t]*g44[t] - 339432761621552130*lu1^3*f42n[t]*f44n[t]*g44[t] - 25096307374040598234*lu1^4*f42n[t]*f44n[t]*g44[t] + 272210086136780489754*lu1^5*f42n[t]*f44n[t]*g44[t] + 3870604067311607201982*lu1^6*f42n[t]*f44n[t]*g44[t] - 8482637845841626526598*lu1^7*f42n[t]*f44n[t]*g44[t] - 191614144839029535093660*lu1^8*f42n[t]*f44n[t]*g44[t] - 1549156673865833110737288*lu1^9*f42n[t]*f44n[t]*g44[t] + 7099568795525214196523664*lu1^10*f42n[t]*f44n[t]*g44[t] + 42902750207509669969621920*lu1^11*f42n[t]*f44n[t]*g44[t] - 10950470903849563654311744*lu1^12*f42n[t]*f44n[t]*g44[t] - 259435723238839448419063680*lu1^13*f42n[t]*f44n[t]*g44[t] - 348509841132508547948870400*lu1^14*f42n[t]*f44n[t]*g44[t] - 127694192153940833258880000*lu1^15*f42n[t]*f44n[t]*g44[t] + 216756800442*Sqrt[210]*f22n[t]*f40[t]*g44n[t] - 8605947369825*Sqrt[210]*lu1*f22n[t]*f40[t]*g44n[t] - 529343385360543*Sqrt[210]*lu1^2*f22n[t]*f40[t]*g44n[t] + 17202518050774329*Sqrt[210]*lu1^3*f22n[t]*f40[t]*g44n[t] + 222484647606862953*Sqrt[210]*lu1^4*f22n[t]*f40[t]*g44n[t] - 5319204411442717029*Sqrt[210]*lu1^5*f22n[t]*f40[t]*g44n[t] - 12251690966509571733*Sqrt[210]*lu1^6*f22n[t]*f40[t]*g44n[t] - 201095314536843569661*Sqrt[210]*lu1^7*f22n[t]*f40[t]*g44n[t] - 128329515564961112727*Sqrt[210]*lu1^8*f22n[t]*f40[t]*g44n[t] + 91287788192115504009306*Sqrt[210]*lu1^9*f22n[t]*f40[t]*g44n[t] + 85301432240397853795224*Sqrt[210]*lu1^10*f22n[t]*f40[t]*g44n[t] - 2859209643619785802388016*Sqrt[210]*lu1^11*f22n[t]*f40[t]*g44n[t] - 6285519047728252706028720*Sqrt[210]*lu1^12*f22n[t]*f40[t]*g44n[t] + 2525636846921311907815200*Sqrt[210]*lu1^13*f22n[t]*f40[t]*g44n[t] + 11144676889239398983296000*Sqrt[210]*lu1^14*f22n[t]*f40[t]*g44n[t] + 4269344277530182949280000*Sqrt[210]*lu1^15*f22n[t]*f40[t]*g44n[t] + 162874167795*Sqrt[70]*f40[t]*f42n[t]*g44n[t] - 686231425305*Sqrt[70]* lu1*f40[t]*f42n[t]*g44n[t] - 745673207979015*Sqrt[70]*lu1^2*f40[t]* f42n[t]*g44n[t] + 3950591471618715*Sqrt[70]*lu1^3*f40[t]*f42n[t]* g44n[t] + 466412303317243095*Sqrt[70]*lu1^4*f40[t]*f42n[t]*g44n[t] + 4442092093352880945*Sqrt[70]*lu1^5*f40[t]*f42n[t]*g44n[t] - 2454852554315894925*Sqrt[70]*lu1^6*f40[t]*f42n[t]*g44n[t] - 2955648667941149816655*Sqrt[70]*lu1^7*f40[t]*f42n[t]*g44n[t] - 10170538521399116557470*Sqrt[70]*lu1^8*f40[t]*f42n[t]*g44n[t] + 204294828154335364321740*Sqrt[70]*lu1^9*f40[t]*f42n[t]*g44n[t] + 62191405652903581831560*Sqrt[70]*lu1^10*f40[t]*f42n[t]*g44n[t] - 1687890135882838946125680*Sqrt[70]*lu1^11*f40[t]*f42n[t]*g44n[t] - 877520913227398005040800*Sqrt[70]*lu1^12*f40[t]*f42n[t]*g44n[t] + 4241855139826048460424000*Sqrt[70]*lu1^13*f40[t]*f42n[t]*g44n[t] + 5095541159352892014480000*Sqrt[70]*lu1^14*f40[t]*f42n[t]*g44n[t] + 1574937086965607534400000*Sqrt[70]*lu1^15*f40[t]*f42n[t]*g44n[t] + 531710180820*Sqrt[3]*f22n[t]*f44[t]*g44n[t] - 39137988650670*Sqrt[3]* lu1*f22n[t]*f44[t]*g44n[t] + 312017944025970*Sqrt[3]*lu1^2*f22n[t]* f44[t]*g44n[t] + 55617799607673030*Sqrt[3]*lu1^3*f22n[t]*f44[t]* g44n[t] - 2781715516287683430*Sqrt[3]*lu1^4*f22n[t]*f44[t]*g44n[t] + 15932572279189284810*Sqrt[3]*lu1^5*f22n[t]*f44[t]*g44n[t] + 648587769379708941510*Sqrt[3]*lu1^6*f22n[t]*f44[t]*g44n[t] - 3626110168714699834350*Sqrt[3]*lu1^7*f22n[t]*f44[t]*g44n[t] - 73152605881872568022790*Sqrt[3]*lu1^8*f22n[t]*f44[t]*g44n[t] + 194354804196007696981740*Sqrt[3]*lu1^9*f22n[t]*f44[t]*g44n[t] + 4509738633805897234491840*Sqrt[3]*lu1^10*f22n[t]*f44[t]*g44n[t] + 2691940207552803145192800*Sqrt[3]*lu1^11*f22n[t]*f44[t]*g44n[t] - 26007816081393976086173280*Sqrt[3]*lu1^12*f22n[t]*f44[t]*g44n[t] - 20756109527390835034382400*Sqrt[3]*lu1^13*f22n[t]*f44[t]*g44n[t] + 10752445000280151002016000*Sqrt[3]*lu1^14*f22n[t]*f44[t]*g44n[t] - 1681679332372440098880000*Sqrt[3]*lu1^15*f22n[t]*f44[t]*g44n[t] + 297161559954*f42n[t]*f44[t]*g44n[t] + 124100002935594*lu1*f42n[t]* f44[t]*g44n[t] - 23573784636711162*lu1^2*f42n[t]*f44[t]*g44n[t] + 339432761621552130*lu1^3*f42n[t]*f44[t]*g44n[t] + 25096307374040598234*lu1^4*f42n[t]*f44[t]*g44n[t] - 272210086136780489754*lu1^5*f42n[t]*f44[t]*g44n[t] - 3870604067311607201982*lu1^6*f42n[t]*f44[t]*g44n[t] + 8482637845841626526598*lu1^7*f42n[t]*f44[t]*g44n[t] + 191614144839029535093660*lu1^8*f42n[t]*f44[t]*g44n[t] + 1549156673865833110737288*lu1^9*f42n[t]*f44[t]*g44n[t] - 7099568795525214196523664*lu1^10*f42n[t]*f44[t]*g44n[t] - 42902750207509669969621920*lu1^11*f42n[t]*f44[t]*g44n[t] + 10950470903849563654311744*lu1^12*f42n[t]*f44[t]*g44n[t] + 259435723238839448419063680*lu1^13*f42n[t]*f44[t]*g44n[t] + 348509841132508547948870400*lu1^14*f42n[t]*f44[t]*g44n[t] + 127694192153940833258880000*lu1^15*f42n[t]*f44[t]*g44n[t] - 28123470922806*f42[t]*f44n[t]*g44n[t] + 1014907031137314*lu1*f42[t]* f44n[t]*g44n[t] + 48462114270194478*lu1^2*f42[t]*f44n[t]*g44n[t] - 1179362417037543270*lu1^3*f42[t]*f44n[t]*g44n[t] - 6386701442679185166*lu1^4*f42[t]*f44n[t]*g44n[t] - 13808514698235467154*lu1^5*f42[t]*f44n[t]*g44n[t] - 2098871145379652030982*lu1^6*f42[t]*f44n[t]*g44n[t] + 84355544260035222510798*lu1^7*f42[t]*f44n[t]*g44n[t] + 527958824004802608466860*lu1^8*f42[t]*f44n[t]*g44n[t] - 7033839576666850424359512*lu1^9*f42[t]*f44n[t]*g44n[t] - 23252937973504198651644624*lu1^10*f42[t]*f44n[t]*g44n[t] + 89596102546013176333029600*lu1^11*f42[t]*f44n[t]*g44n[t] + 480077570436469110826104384*lu1^12*f42[t]*f44n[t]*g44n[t] + 766549183248115776371076480*lu1^13*f42[t]*f44n[t]*g44n[t] + 517176276939138468079814400*lu1^14*f42[t]*f44n[t]*g44n[t] + 126225819586321281348480000*lu1^15*f42[t]*f44n[t]*g44n[t] + 221*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]* (21450*Sqrt[3]*(241947 - 6850926*lu1 - 120662019*lu1^2 + 3115641324*lu1^3 - 23758357671*lu1^4 + 268250620594*lu1^5 + 6132738734523*lu1^6 - 64511706604928*lu1^7 - 426267487285532* lu1^8 + 219393330033328*lu1^9 + 4232440673020240*lu1^10 + 7652814199497600*lu1^11 + 5124325953016000*lu1^12 + 1175563472160000*lu1^13)*f22n[t]^2 - 10*(1 + 2*lu1)*f22n[t]* (90*(210106548 - 3061640907*lu1 - 96168778977*lu1^2 - 845999995649*lu1^3 - 29604015153563*lu1^4 + 850195819120743*lu1^ 5 - 365906391071275*lu1^6 - 33679652902240663*lu1^7 - 3652311635303553*lu1^8 + 179357729795250700*lu1^9 + 346588058412452020*lu1^10 + 302652515095386000*lu1^11 + 89704499875956000*lu1^12)*f42n[t] + 77*(-1 + 7*lu1 + 170*lu1^2)^ 2*(2187 - 56700*lu1 - 1148256*lu1^2 + 25696782*lu1^3 - 152025759*lu1^4 - 112798138*lu1^5 + 1983708084*lu1^6 + 3476459080*lu1^7 + 1436080800*lu1^8)*(221*Sqrt[3]*g22n[t] - 405*g42n[t])) - 3*(5*Sqrt[3]*(-462496770 - 14396019993*lu1 + 1303234337130*lu1^2 + 10748396083031*lu1^3 - 204614666939458* lu1^4 - 498229559763595*lu1^5 + 93532491468066534*lu1^6 + 200494535867220285*lu1^7 - 161774708100684508*lu1^8 - 1082954312605398496*lu1^9 - 2214535562162265200*lu1^10 + 1119540399876318000*lu1^11 + 4748977577471488000*lu1^12 + 1561866553218720000*lu1^13)*f40[t]^2 + 20*Sqrt[3]* (2190846150 + 3095067087*lu1 - 1143791374980*lu1^2 - 40208251439089*lu1^3 + 138641345734592*lu1^4 + 9590589678627165*lu1^5 - 28833760045625476*lu1^6 - 536924627278823595*lu1^7 - 725712251237282478*lu1^8 + 936595654580234464*lu1^9 + 1521206970922224720*lu1^10 - 62006125657287600*lu1^11 - 243802778959772000*lu1^12 + 80257412777360000*lu1^13)*f42[t]^2 + 12612372570*Sqrt[3]* f42n[t]^2 - 98772200460*Sqrt[3]*lu1*f42n[t]^2 - 5677878432180*Sqrt[3]*lu1^2*f42n[t]^2 - 278046347684470*Sqrt[3]* lu1^3*f42n[t]^2 - 5680599842555710*Sqrt[3]*lu1^4*f42n[t]^2 + 23165180031858680*Sqrt[3]*lu1^5*f42n[t]^2 + 140560591593711960* Sqrt[3]*lu1^6*f42n[t]^2 + 4016873505925437930*Sqrt[3]*lu1^7* f42n[t]^2 - 19377190173206955520*Sqrt[3]*lu1^8*f42n[t]^2 - 53284534536499617760*Sqrt[3]*lu1^9*f42n[t]^2 + 89440302477310526560*Sqrt[3]*lu1^10*f42n[t]^2 + 222611862760413708000*Sqrt[3]*lu1^11*f42n[t]^2 + 106266953824348432000*Sqrt[3]*lu1^12*f42n[t]^2 + 22438040660609280000*Sqrt[3]*lu1^13*f42n[t]^2 - 94500438480*Sqrt[3]*f44[t]^2 - 9967816530*Sqrt[3]*lu1*f44[t]^2 + 45192792830220*Sqrt[3]*lu1^2*f44[t]^2 + 1757866302409770*Sqrt[3]* lu1^3*f44[t]^2 - 1076538377881680*Sqrt[3]*lu1^4*f44[t]^2 - 397406275300447070*Sqrt[3]*lu1^5*f44[t]^2 + 747868369202322620* Sqrt[3]*lu1^6*f44[t]^2 + 18130754300978584230*Sqrt[3]*lu1^7* f44[t]^2 + 42485865858631551160*Sqrt[3]*lu1^8*f44[t]^2 + 1669044549808361600*Sqrt[3]*lu1^9*f44[t]^2 - 113093361947888455840*Sqrt[3]*lu1^10*f44[t]^2 - 149659464813572028000*Sqrt[3]*lu1^11*f44[t]^2 - 76922449982746368000*Sqrt[3]*lu1^12*f44[t]^2 - 23375212128896320000*Sqrt[3]*lu1^13*f44[t]^2 - 94500438480*Sqrt[3]*f44n[t]^2 - 9967816530*Sqrt[3]*lu1* f44n[t]^2 + 45192792830220*Sqrt[3]*lu1^2*f44n[t]^2 + 1757866302409770*Sqrt[3]*lu1^3*f44n[t]^2 - 1076538377881680* Sqrt[3]*lu1^4*f44n[t]^2 - 397406275300447070*Sqrt[3]*lu1^5* f44n[t]^2 + 747868369202322620*Sqrt[3]*lu1^6*f44n[t]^2 + 18130754300978584230*Sqrt[3]*lu1^7*f44n[t]^2 + 42485865858631551160*Sqrt[3]*lu1^8*f44n[t]^2 + 1669044549808361600*Sqrt[3]*lu1^9*f44n[t]^2 - 113093361947888455840*Sqrt[3]*lu1^10*f44n[t]^2 - 149659464813572028000*Sqrt[3]*lu1^11*f44n[t]^2 - 76922449982746368000*Sqrt[3]*lu1^12*f44n[t]^2 - 23375212128896320000*Sqrt[3]*lu1^13*f44n[t]^2 - 145407150*Sqrt[42]*f44[t]*g20[t] + 4699831860*Sqrt[42]*lu1*f44[t]* g20[t] + 117469727175*Sqrt[42]*lu1^2*f44[t]*g20[t] - 3620167789915*Sqrt[42]*lu1^3*f44[t]*g20[t] - 36152052290290* Sqrt[42]*lu1^4*f44[t]*g20[t] + 779156337702790*Sqrt[42]*lu1^5* f44[t]*g20[t] + 6385116691091355*Sqrt[42]*lu1^6*f44[t]*g20[t] - 36805668789727495*Sqrt[42]*lu1^7*f44[t]*g20[t] - 497732789169065490*Sqrt[42]*lu1^8*f44[t]*g20[t] - 2306709869403036760*Sqrt[42]*lu1^9*f44[t]*g20[t] - 1411095845037240160*Sqrt[42]*lu1^10*f44[t]*g20[t] + 2995247939234248400*Sqrt[42]*lu1^11*f44[t]*g20[t] + 3423245430804268000*Sqrt[42]*lu1^12*f44[t]*g20[t] + 1328489193241280000*Sqrt[42]*lu1^13*f44[t]*g20[t] - 2049655860*f42n[t]*g22n[t] + 79707443760*lu1*f42n[t]*g22n[t] - 322926334710*lu1^2*f42n[t]*g22n[t] - 22055139602510*lu1^3*f42n[t]* g22n[t] + 292658160241160*lu1^4*f42n[t]*g22n[t] + 1615839267051940*lu1^5*f42n[t]*g22n[t] - 40415909797055030*lu1^6* f42n[t]*g22n[t] - 117091943853934070*lu1^7*f42n[t]*g22n[t] + 1617007483194779480*lu1^8*f42n[t]*g22n[t] + 8210640535505473520* lu1^9*f42n[t]*g22n[t] - 23464044867777582880*lu1^10*f42n[t]* g22n[t] - 133459622072727692000*lu1^11*f42n[t]*g22n[t] - 158690172901209712000*lu1^12*f42n[t]*g22n[t] - 48801811643928000000*lu1^13*f42n[t]*g22n[t] + 14282730*Sqrt[210]* f44[t]*g40[t] - 435992733*Sqrt[210]*lu1*f44[t]*g40[t] - 15761499930*Sqrt[210]*lu1^2*f44[t]*g40[t] + 399783094491* Sqrt[210]*lu1^3*f44[t]*g40[t] + 6295505786922*Sqrt[210]*lu1^4* f44[t]*g40[t] - 87707286806535*Sqrt[210]*lu1^5*f44[t]*g40[t] - 1116637041187206*Sqrt[210]*lu1^6*f44[t]*g40[t] + 321562036288185*Sqrt[210]*lu1^7*f44[t]*g40[t] + 74784395208068172*Sqrt[210]*lu1^8*f44[t]*g40[t] + 664555717340247744*Sqrt[210]*lu1^9*f44[t]*g40[t] + 338653913443095360*Sqrt[210]*lu1^10*f44[t]*g40[t] - 2837518384511804400*Sqrt[210]*lu1^11*f44[t]*g40[t] - 3966945073272456000*Sqrt[210]*lu1^12*f44[t]*g40[t] - 1240236928854000000*Sqrt[210]*lu1^13*f44[t]*g40[t] - 10*(-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*f42[t]* ((-242421732 + 5802173295*lu1 + 97984213372*lu1^2 - 1611265681794*lu1^3 + 7498310762520*lu1^4 - 78450447107849* lu1^5 - 130462109012080*lu1^6 + 5853331160621844*lu1^7 + 14178796543332072*lu1^8 + 8620921577108480*lu1^9 + 116731344492000*lu1^10)*g22[t] + 2*Sqrt[3]*(-8435322 + 229851093*lu1 + 1819900685*lu1^2 - 55242739092*lu1^3 + 354338999244*lu1^4 - 1012132183507*lu1^5 - 12026434042163* lu1^6 + 164434732268778*lu1^7 + 536249740998900*lu1^8 + 584036846564200*lu1^9 + 246478764084000*lu1^10)*g42[t]) - 67824540*Sqrt[3]*f42n[t]*g42n[t] + 9931473720*Sqrt[3]*lu1*f42n[t]* g42n[t] - 442462509090*Sqrt[3]*lu1^2*f42n[t]*g42n[t] - 109140480330*Sqrt[3]*lu1^3*f42n[t]*g42n[t] + 89474003589600* Sqrt[3]*lu1^4*f42n[t]*g42n[t] + 948572120115060*Sqrt[3]*lu1^5* f42n[t]*g42n[t] - 7780574928994770*Sqrt[3]*lu1^6*f42n[t]* g42n[t] - 190936265507937810*Sqrt[3]*lu1^7*f42n[t]*g42n[t] + 146975567289625200*Sqrt[3]*lu1^8*f42n[t]*g42n[t] + 7627007218059349680*Sqrt[3]*lu1^9*f42n[t]*g42n[t] + 2973622859603313120*Sqrt[3]*lu1^10*f42n[t]*g42n[t] - 53791601715391562400*Sqrt[3]*lu1^11*f42n[t]*g42n[t] - 78794688687813504000*Sqrt[3]*lu1^12*f42n[t]*g42n[t] - 24936736982532480000*Sqrt[3]*lu1^13*f42n[t]*g42n[t] + 1199617020*Sqrt[3]*f44[t]*g44[t] - 44901312750*Sqrt[3]*lu1*f44[t]* g44[t] + 14780621100*Sqrt[3]*lu1^2*f44[t]*g44[t] + 14790134536450*Sqrt[3]*lu1^3*f44[t]*g44[t] - 125851335339100* Sqrt[3]*lu1^4*f44[t]*g44[t] - 1245804322222250*Sqrt[3]*lu1^5* f44[t]*g44[t] + 17605275298443700*Sqrt[3]*lu1^6*f44[t]*g44[t] + 46930482945848950*Sqrt[3]*lu1^7*f44[t]*g44[t] - 569858661474289600*Sqrt[3]*lu1^8*f44[t]*g44[t] - 848849572338712000*Sqrt[3]*lu1^9*f44[t]*g44[t] + 15358503140423683520*Sqrt[3]*lu1^10*f44[t]*g44[t] + 58174955175097045600*Sqrt[3]*lu1^11*f44[t]*g44[t] + 65065573427306816000*Sqrt[3]*lu1^12*f44[t]*g44[t] + 19859550358257120000*Sqrt[3]*lu1^13*f44[t]*g44[t] + Sqrt[3]*f40[t]*(2*Sqrt[70]*(-6807687255 - 22202465868*lu1 + 4076415486870*lu1^2 + 123357550406951*lu1^3 - 868666551230383* lu1^4 - 30903113175771110*lu1^5 + 145491451448654044*lu1^6 + 2102017079421811995*lu1^7 + 1270630402012473172*lu1^8 - 6563550461786492976*lu1^9 - 1086022237517837680*lu1^10 + 13071586305492306000*lu1^11 + 8827052287872592000*lu1^12 + 1673196017762080000*lu1^13)*f44[t] - (-1 + 7*lu1 + 170*lu1^2)* (5*Sqrt[5]*(-14978250 + 991082196*lu1 - 29152736901*lu1^2 - 103748396540*lu1^3 + 1974854486584*lu1^4 + 32926129136432* lu1^5 - 151189977956857*lu1^6 + 196863953787536*lu1^7 + 2160289964764264*lu1^8 + 3214690261787680*lu1^9 + 2563076402109040*lu1^10 + 1346053995708800*lu1^11)*g20[t] - 165*(1292382 - 29929275*lu1 - 532425297*lu1^2 + 9386523212* lu1^3 - 233606012696*lu1^4 + 1132837328021*lu1^5 + 14295289571311*lu1^6 - 26376289102926*lu1^7 - 178583181441652*lu1^8 - 139832877444520*lu1^9 + 30400815245600*lu1^10 + 6259473528000*lu1^11)*g40[t] + Sqrt[70]*(108977778 - 2219867217*lu1 - 51247773627*lu1^2 + 437270306944*lu1^3 - 3086075609064*lu1^4 + 87717468045879* lu1^5 + 214816225490965*lu1^6 - 3307523074132942*lu1^7 - 8182431786211476*lu1^8 + 2646151319078040*lu1^9 + 14185622867412800*lu1^10 + 5533014812808000*lu1^11)* g44[t])) + 1199617020*Sqrt[3]*f44n[t]*g44n[t] - 44901312750*Sqrt[3]*lu1*f44n[t]*g44n[t] + 14780621100*Sqrt[3]* lu1^2*f44n[t]*g44n[t] + 14790134536450*Sqrt[3]*lu1^3*f44n[t]* g44n[t] - 125851335339100*Sqrt[3]*lu1^4*f44n[t]*g44n[t] - 1245804322222250*Sqrt[3]*lu1^5*f44n[t]*g44n[t] + 17605275298443700*Sqrt[3]*lu1^6*f44n[t]*g44n[t] + 46930482945848950*Sqrt[3]*lu1^7*f44n[t]*g44n[t] - 569858661474289600*Sqrt[3]*lu1^8*f44n[t]*g44n[t] - 848849572338712000*Sqrt[3]*lu1^9*f44n[t]*g44n[t] + 15358503140423683520*Sqrt[3]*lu1^10*f44n[t]*g44n[t] + 58174955175097045600*Sqrt[3]*lu1^11*f44n[t]*g44n[t] + 65065573427306816000*Sqrt[3]*lu1^12*f44n[t]*g44n[t] + 19859550358257120000*Sqrt[3]*lu1^13*f44n[t]*g44n[t])) + 221*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (5*Sqrt[3]*f22[t]*(3*Sqrt[5]*(918721359 - 19525644963*lu1 - 256823427162*lu1^2 + 9035363191210*lu1^3 - 570987494422509*lu1^ 4 - 386812010795575*lu1^5 + 37968850447228016*lu1^6 + 505708287382416432*lu1^7 + 1247178416248641448*lu1^8 - 509826553336800464*lu1^9 + 967078293073470096*lu1^10 + 7298494758396621920*lu1^11 + 5387019444792724800*lu1^12 + 816684517082448000*lu1^13)*f40[t] - 3*Sqrt[14]* (814327803 - 7579066671*lu1 - 459949848498*lu1^2 - 8549588016286*lu1^3 + 23417084034911*lu1^4 + 4347538877271149* lu1^5 - 5539028830834880*lu1^6 - 352097246110849280*lu1^7 - 794454765095066504*lu1^8 + 1087558752577032656*lu1^9 + 3439259331657928208*lu1^10 + 2878254450776006240*lu1^11 + 1911044345424974400*lu1^12 + 684619826316048000*lu1^13)* f44[t] + 11*(-1 + 7*lu1 + 170*lu1^2)^2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)* (26*(9621 - 84747*lu1 - 1863751*lu1^2 + 5788027*lu1^3 - 27025214*lu1^4 + 3601280*lu1^5)*g20[t] - 9*(3*Sqrt[5]*(1059 - 5923*lu1 - 333399*lu1^2 + 868623*lu1^3 - 3681276*lu1^4 + 1444420*lu1^5)*g40[t] + 5*Sqrt[14]* (1119 - 15935*lu1 + 12157*lu1^2 + 259931*lu1^3 - 1882060*lu1^4 - 1451820*lu1^5)*g44[t]))) + 3*(Sqrt[5]*f40[t]*(33*(1197501165 - 1394260533*lu1 - 482227644060* lu1^2 - 22244812382784*lu1^3 - 22412930186923*lu1^4 + 5054653495603795*lu1^5 - 1253871218678006*lu1^6 - 198859727252516350*lu1^7 - 615025816469838528*lu1^8 - 289817617027317296*lu1^9 + 1546411745821268480*lu1^10 + 2731527257940332000*lu1^11 + 1720794922248144000*lu1^12 + 499531369352960000*lu1^13)*f42[t] - (-9 + 45*lu1 + 1648*lu1^2 + 3116*lu1^3 + 1360*lu1^4)*(5*Sqrt[3]*(-1582266 - 18681877*lu1 + 2052239109*lu1^2 + 15650206812*lu1^3 + 1007425570796*lu1^4 - 11676426302789*lu1^5 - 44295635344035* lu1^6 - 181831595048970*lu1^7 + 501880928945500*lu1^8 + 373937549055000*lu1^9)*g22[t] + 33*(-1686594 + 54577529* lu1 - 274150449*lu1^2 - 6969022812*lu1^3 + 188476003424* lu1^4 - 624287205191*lu1^5 - 9125284723761*lu1^6 + 5117984355570*lu1^7 + 125242571110900*lu1^8 + 133059536421000*lu1^9)*g42[t])) - f42[t]*(15*Sqrt[14]*(-1269038097 - 1561289175*lu1 + 554636229948* lu1^2 + 22521830864784*lu1^3 - 132810376858185*lu1^4 - 6080976723201503*lu1^5 + 10391791996117502*lu1^6 + 380304508710918342*lu1^7 + 286481022022631536*lu1^8 - 1096119229836218896*lu1^9 + 225702664928885504*lu1^10 + 2390409181123197600*lu1^11 + 815614942080220800*lu1^12 + 22265892908672000*lu1^13)*f44[t] + (-1 + 7*lu1 + 170*lu1^2)*( 5*(423274572 - 11955525777*lu1 - 60048265122*lu1^2 + 2569552215102*lu1^3 - 4724595413412*lu1^4 + 2643230009231* lu1^5 + 209103163876642*lu1^6 - 13919610855936996*lu1^7 - 34316282538139312*lu1^8 - 8926645681499312*lu1^9 + 21705637287288480*lu1^10 + 8121094422907200*lu1^11)* g20[t] + 3*(33*Sqrt[5]*(-1237950 + 37794942*lu1 + 702308379* lu1^2 - 22521130736*lu1^3 + 16667641340*lu1^4 + 2143838988970*lu1^5 + 7384684945799*lu1^6 - 8752089184272* lu1^7 + 82407922252168*lu1^8 + 675217254384640*lu1^9 + 944105411906800*lu1^10 + 295796590320000*lu1^11)*g40[t] - 5*Sqrt[14]*(4100922 - 231989598*lu1 + 5974693815*lu1^2 + 23221986664*lu1^3 - 663748565844*lu1^4 - 2661576801954* lu1^5 + 64923794257315*lu1^6 - 412559321235712*lu1^7 - 977594752788888*lu1^8 + 1474144463062464*lu1^9 + 3109955575298480*lu1^10 + 819786704822400*lu1^11)* g44[t]))) - 5*Sqrt[14]*(-7*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*(f44[t]* (Sqrt[3]*(925398 - 20906253*lu1 - 263425626*lu1^2 + 4415406172*lu1^3 - 69177158964*lu1^4 + 55403430909* lu1^5 + 3352779868408*lu1^6 + 7960253774820*lu1^7 + 5215462266000*lu1^8)*g22[t] + 9*(-88650 + 844959*lu1 + 87338396*lu1^2 - 226847094*lu1^3 + 4030037518*lu1^4 - 82084648813*lu1^5 - 349888978728*lu1^6 - 72938169860* lu1^7 + 316026589200*lu1^8)*g42[t]) + f44n[t]* (Sqrt[3]*(925398 - 20906253*lu1 - 263425626*lu1^2 + 4415406172*lu1^3 - 69177158964*lu1^4 + 55403430909* lu1^5 + 3352779868408*lu1^6 + 7960253774820*lu1^7 + 5215462266000*lu1^8)*g22n[t] + 9*(-88650 + 844959*lu1 + 87338396*lu1^2 - 226847094*lu1^3 + 4030037518*lu1^4 - 82084648813*lu1^5 - 349888978728*lu1^6 - 72938169860* lu1^7 + 316026589200*lu1^8)*g42n[t])) + Sqrt[3]*f22n[t]*( (814327803 - 7579066671*lu1 - 459949848498*lu1^2 - 8549588016286*lu1^3 + 23417084034911*lu1^4 + 4347538877271149*lu1^5 - 5539028830834880*lu1^6 - 352097246110849280*lu1^7 - 794454765095066504*lu1^8 + 1087558752577032656*lu1^9 + 3439259331657928208*lu1^10 + 2878254450776006240*lu1^11 + 1911044345424974400*lu1^12 + 684619826316048000*lu1^13)*f44n[t] - 165*(-1 + 7*lu1 + 170*lu1^2)^2*(30213 - 661878*lu1 - 20194488*lu1^2 + 296938290*lu1^3 + 282175547*lu1^4 - 5396853532*lu1^5 + 29272923688*lu1^6 + 104795512000*lu1^7 + 95483966640* lu1^8 + 26829633600*lu1^9)*g44n[t]) + 3*f42n[t]*( (-1269038097 - 1561289175*lu1 + 554636229948*lu1^2 + 22521830864784*lu1^3 - 132810376858185*lu1^4 - 6080976723201503*lu1^5 + 10391791996117502*lu1^6 + 380304508710918342*lu1^7 + 286481022022631536*lu1^8 - 1096119229836218896*lu1^9 + 225702664928885504*lu1^10 + 2390409181123197600*lu1^11 + 815614942080220800*lu1^12 + 22265892908672000*lu1^13)*f44n[t] - (-4100922 + 260696052* lu1 - 6901464261*lu1^2 - 20837361619*lu1^3 + 1842000421042* lu1^4 + 1963074573926*lu1^5 - 196392088064473*lu1^6 + 414557824704737*lu1^7 + 9126724527882454*lu1^8 - 78452392342655720*lu1^9 - 158982052307972192*lu1^10 + 271554461042885840*lu1^11 + 534430954734498400*lu1^12 + 139363739819808000*lu1^13)*g44n[t]))))))/ (51102051*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) eqG42nf = -(mar*(-13884204455550*Sqrt[3]*f22n[t]^3 + 1364140462692150*Sqrt[3]* lu1*f22n[t]^3 + 4481711816160150*Sqrt[3]*lu1^2*f22n[t]^3 - 3391719710845430250*Sqrt[3]*lu1^3*f22n[t]^3 + 51805877192651632050* Sqrt[3]*lu1^4*f22n[t]^3 + 1805585824715362082250*Sqrt[3]*lu1^5* f22n[t]^3 - 32625017240009067652350*Sqrt[3]*lu1^6*f22n[t]^3 - 185367403640570257627950*Sqrt[3]*lu1^7*f22n[t]^3 + 3561692080611598248958500*Sqrt[3]*lu1^8*f22n[t]^3 + 5493951611961610895268600*Sqrt[3]*lu1^9*f22n[t]^3 - 75603700646498799585610800*Sqrt[3]*lu1^10*f22n[t]^3 - 42556513698908369180248800*Sqrt[3]*lu1^11*f22n[t]^3 + 887538398822701723094712000*Sqrt[3]*lu1^12*f22n[t]^3 + 2162871391059362902261200000*Sqrt[3]*lu1^13*f22n[t]^3 + 1842126448416704979328800000*Sqrt[3]*lu1^14*f22n[t]^3 + 527965136275053164688000000*Sqrt[3]*lu1^15*f22n[t]^3 - 14757063480900*Sqrt[3]*f22n[t]*f40[t]^2 - 1927458132210000*Sqrt[3]* lu1*f22n[t]*f40[t]^2 + 126151272047268000*Sqrt[3]*lu1^2*f22n[t]* f40[t]^2 + 5374223892587370600*Sqrt[3]*lu1^3*f22n[t]*f40[t]^2 - 178641569116646290200*Sqrt[3]*lu1^4*f22n[t]*f40[t]^2 - 3271610397352400274600*Sqrt[3]*lu1^5*f22n[t]*f40[t]^2 + 27096641424232022229600*Sqrt[3]*lu1^6*f22n[t]*f40[t]^2 + 528408278961033430354200*Sqrt[3]*lu1^7*f22n[t]*f40[t]^2 - 2944623368411361070851300*Sqrt[3]*lu1^8*f22n[t]*f40[t]^2 + 33334509091693058102076600*Sqrt[3]*lu1^9*f22n[t]*f40[t]^2 + 132379464137775900033206400*Sqrt[3]*lu1^10*f22n[t]*f40[t]^2 + 208235123826672581813179200*Sqrt[3]*lu1^11*f22n[t]*f40[t]^2 + 396881048636997394883774400*Sqrt[3]*lu1^12*f22n[t]*f40[t]^2 + 34634240571267133815408000*Sqrt[3]*lu1^13*f22n[t]*f40[t]^2 - 452519250281414200946880000*Sqrt[3]*lu1^14*f22n[t]*f40[t]^2 + 10065621384539329190400000*Sqrt[3]*lu1^15*f22n[t]*f40[t]^2 + 192045760246080*Sqrt[3]*f22n[t]*f42[t]^2 - 8356175833847400*Sqrt[3]* lu1*f22n[t]*f42[t]^2 - 398967241041794880*Sqrt[3]*lu1^2*f22n[t]* f42[t]^2 + 12741089755702347000*Sqrt[3]*lu1^3*f22n[t]*f42[t]^2 + 84000831663820290960*Sqrt[3]*lu1^4*f22n[t]*f42[t]^2 + 3953838195876791172600*Sqrt[3]*lu1^5*f22n[t]*f42[t]^2 + 15123172219462026545280*Sqrt[3]*lu1^6*f22n[t]*f42[t]^2 - 1650767583272810829885240*Sqrt[3]*lu1^7*f22n[t]*f42[t]^2 + 4700976105231728879715600*Sqrt[3]*lu1^8*f22n[t]*f42[t]^2 + 8856986769657430178863920*Sqrt[3]*lu1^9*f22n[t]*f42[t]^2 + 340691835543166763616960480*Sqrt[3]*lu1^10*f22n[t]*f42[t]^2 - 652184510049545593812032640*Sqrt[3]*lu1^11*f22n[t]*f42[t]^2 - 4878454092821806956058229760*Sqrt[3]*lu1^12*f22n[t]*f42[t]^2 - 3988477120857321918332832000*Sqrt[3]*lu1^13*f22n[t]*f42[t]^2 + 410028582954540119064768000*Sqrt[3]*lu1^14*f22n[t]*f42[t]^2 - 455290850608299872974080000*Sqrt[3]*lu1^15*f22n[t]*f42[t]^2 + 448257148393860*f22n[t]^2*f42n[t] - 33077307011427900*lu1*f22n[t]^2* f42n[t] - 377587624373858340*lu1^2*f22n[t]^2*f42n[t] + 69158150983854908820*lu1^3*f22n[t]^2*f42n[t] - 1050353993735361760380*lu1^4*f22n[t]^2*f42n[t] - 19569779412211065831300*lu1^5*f22n[t]^2*f42n[t] + 518501031423534975736180*lu1^6*f22n[t]^2*f42n[t] - 1354011684363742446428100*lu1^7*f22n[t]^2*f42n[t] - 6127949146263105816232760*lu1^8*f22n[t]^2*f42n[t] + 66238937705226689497173040*lu1^9*f22n[t]^2*f42n[t] - 496538180818564272071035040*lu1^10*f22n[t]^2*f42n[t] + 550514433495325817277972160*lu1^11*f22n[t]^2*f42n[t] + 7373347492947906367967372160*lu1^12*f22n[t]^2*f42n[t] + 7819765986171134106749497600*lu1^13*f22n[t]^2*f42n[t] - 1256564037344436973518912000*lu1^14*f22n[t]^2*f42n[t] - 2308703914357105995475200000*lu1^15*f22n[t]^2*f42n[t] + 86433510541860*f40[t]^2*f42n[t] + 32057824456443780*lu1*f40[t]^2* f42n[t] - 1340443931480772300*lu1^2*f40[t]^2*f42n[t] - 150607082191311701820*lu1^3*f40[t]^2*f42n[t] + 5743668126689782649100*lu1^4*f40[t]^2*f42n[t] + 66496634903515259437980*lu1^5*f40[t]^2*f42n[t] - 2483420716958585456386180*lu1^6*f40[t]^2*f42n[t] - 2687923083654843917835540*lu1^7*f40[t]^2*f42n[t] + 232768297073555022756217760*lu1^8*f40[t]^2*f42n[t] - 334204097351570277669398800*lu1^9*f40[t]^2*f42n[t] - 4591964771039689088708106880*lu1^10*f40[t]^2*f42n[t] + 427226457966647078924678720*lu1^11*f40[t]^2*f42n[t] + 31792013181797381752699537920*lu1^12*f40[t]^2*f42n[t] + 48747202198767085688580358400*lu1^13*f40[t]^2*f42n[t] + 23246448108086842334704512000*lu1^14*f40[t]^2*f42n[t] + 2605973894467464158668800000*lu1^15*f40[t]^2*f42n[t] + 2120688304368408*f42[t]^2*f42n[t] - 65936251934495640*lu1*f42[t]^2* f42n[t] - 2590833552445448856*lu1^2*f42[t]^2*f42n[t] - 34113008504448236952*lu1^3*f42[t]^2*f42n[t] - 639467125268917994568* lu1^4*f42[t]^2*f42n[t] + 138369580759581780509976*lu1^5*f42[t]^2* f42n[t] - 1038643285734104252540744*lu1^6*f42[t]^2*f42n[t] - 12355141308171782050500360*lu1^7*f42[t]^2*f42n[t] + 217804829874206982006237136*lu1^8*f42[t]^2*f42n[t] - 579334349095762679335431776*lu1^9*f42[t]^2*f42n[t] - 4138521477368994301478383040*lu1^10*f42[t]^2*f42n[t] + 7165818195663043341268615552*lu1^11*f42[t]^2*f42n[t] + 46209424660156003231668950784*lu1^12*f42[t]^2*f42n[t] + 59568008416309685504267015680*lu1^13*f42[t]^2*f42n[t] + 25168769219505413689726694400*lu1^14*f42[t]^2*f42n[t] + 2099790600421296261911040000*lu1^15*f42[t]^2*f42n[t] + 245609113113000*Sqrt[3]*f22n[t]*f42n[t]^2 - 15139291006780200* Sqrt[3]*lu1*f22n[t]*f42n[t]^2 - 270743731848837000*Sqrt[3]*lu1^2* f22n[t]*f42n[t]^2 + 27561124165483373400*Sqrt[3]*lu1^3*f22n[t]* f42n[t]^2 - 394947568969127218200*Sqrt[3]*lu1^4*f22n[t]*f42n[t]^2 - 3005278527995131666200*Sqrt[3]*lu1^5*f22n[t]*f42n[t]^2 + 119700151065616564708200*Sqrt[3]*lu1^6*f22n[t]*f42n[t]^2 - 192594034516292936537400*Sqrt[3]*lu1^7*f22n[t]*f42n[t]^2 + 5935694552513703825166800*Sqrt[3]*lu1^8*f22n[t]*f42n[t]^2 - 56111216226072203851106400*Sqrt[3]*lu1^9*f22n[t]*f42n[t]^2 - 817505499996385743426062400*Sqrt[3]*lu1^10*f22n[t]*f42n[t]^2 - 1627616952007907674120444800*Sqrt[3]*lu1^11*f22n[t]*f42n[t]^2 + 249879247027917578112787200*Sqrt[3]*lu1^12*f22n[t]*f42n[t]^2 + 2685207965508842683625664000*Sqrt[3]*lu1^13*f22n[t]*f42n[t]^2 + 1828099250025041598084480000*Sqrt[3]*lu1^14*f22n[t]*f42n[t]^2 + 318479069797333770124800000*Sqrt[3]*lu1^15*f22n[t]*f42n[t]^2 + 2120688304368408*f42n[t]^3 - 65936251934495640*lu1*f42n[t]^3 - 2590833552445448856*lu1^2*f42n[t]^3 - 34113008504448236952*lu1^3* f42n[t]^3 - 639467125268917994568*lu1^4*f42n[t]^3 + 138369580759581780509976*lu1^5*f42n[t]^3 - 1038643285734104252540744* lu1^6*f42n[t]^3 - 12355141308171782050500360*lu1^7*f42n[t]^3 + 217804829874206982006237136*lu1^8*f42n[t]^3 - 579334349095762679335431776*lu1^9*f42n[t]^3 - 4138521477368994301478383040*lu1^10*f42n[t]^3 + 7165818195663043341268615552*lu1^11*f42n[t]^3 + 46209424660156003231668950784*lu1^12*f42n[t]^3 + 59568008416309685504267015680*lu1^13*f42n[t]^3 + 25168769219505413689726694400*lu1^14*f42n[t]^3 + 2099790600421296261911040000*lu1^15*f42n[t]^3 + 63154764518040*Sqrt[210]*f22n[t]*f40[t]*f44[t] - 3775307130550800*Sqrt[210]*lu1*f22n[t]*f40[t]*f44[t] - 68345109975593880*Sqrt[210]*lu1^2*f22n[t]*f40[t]*f44[t] + 6815947168067553360*Sqrt[210]*lu1^3*f22n[t]*f40[t]*f44[t] - 109224114220507542360*Sqrt[210]*lu1^4*f22n[t]*f40[t]*f44[t] - 859455238233149525760*Sqrt[210]*lu1^5*f22n[t]*f40[t]*f44[t] + 33402517188735159112440*Sqrt[210]*lu1^6*f22n[t]*f40[t]*f44[t] + 25281359265142059078480*Sqrt[210]*lu1^7*f22n[t]*f40[t]*f44[t] + 1979722771307506701016320*Sqrt[210]*lu1^8*f22n[t]*f40[t]*f44[t] - 25613983332731437188389520*Sqrt[210]*lu1^9*f22n[t]*f40[t]*f44[t] - 333890608683640603772030880*Sqrt[210]*lu1^10*f22n[t]*f40[t]*f44[t] - 507093616010761506605598720*Sqrt[210]*lu1^11*f22n[t]*f40[t]*f44[t] + 554786906231818206509172480*Sqrt[210]*lu1^12*f22n[t]*f40[t]*f44[t] + 1332076248052202506122796800*Sqrt[210]*lu1^13*f22n[t]*f40[t]* f44[t] + 644255551952316377411520000*Sqrt[210]*lu1^14*f22n[t]* f40[t]*f44[t] + 154958118420559806293760000*Sqrt[210]*lu1^15* f22n[t]*f40[t]*f44[t] + 119254364282736*Sqrt[70]*f40[t]*f42n[t]* f44[t] - 7962361276370400*Sqrt[70]*lu1*f40[t]*f42n[t]*f44[t] + 5513529215271168*Sqrt[70]*lu1^2*f40[t]*f42n[t]*f44[t] + 16353131992541336736*Sqrt[70]*lu1^3*f40[t]*f42n[t]*f44[t] - 742457349713172446496*Sqrt[70]*lu1^4*f40[t]*f42n[t]*f44[t] + 329161895054158875552*Sqrt[70]*lu1^5*f40[t]*f42n[t]*f44[t] + 240501927439779591442752*Sqrt[70]*lu1^6*f40[t]*f42n[t]*f44[t] - 427303784134413931520160*Sqrt[70]*lu1^7*f40[t]*f42n[t]*f44[t] - 15167250873851207969767248*Sqrt[70]*lu1^8*f40[t]*f42n[t]*f44[t] + 5453500751472114857348928*Sqrt[70]*lu1^9*f40[t]*f42n[t]*f44[t] + 308902534574105135261499840*Sqrt[70]*lu1^10*f40[t]*f42n[t]*f44[t] + 386410119167127501025668864*Sqrt[70]*lu1^11*f40[t]*f42n[t]*f44[t] - 1063751124700332261656946432*Sqrt[70]*lu1^12*f40[t]*f42n[t]*f44[t] - 2322024243748437910585328640*Sqrt[70]*lu1^13*f40[t]*f42n[t]*f44[t] - 1305558795714383937531571200*Sqrt[70]*lu1^14*f40[t]*f42n[t]*f44[t] - 190540236031446860536320000*Sqrt[70]*lu1^15*f40[t]*f42n[t]*f44[t] - 609410690736120*Sqrt[3]*f22n[t]*f44[t]^2 + 37134337990932000*Sqrt[3]* lu1*f22n[t]*f44[t]^2 + 723364776360691920*Sqrt[3]*lu1^2*f22n[t]* f44[t]^2 - 67199124096493225200*Sqrt[3]*lu1^3*f22n[t]*f44[t]^2 + 852988962906805102560*Sqrt[3]*lu1^4*f22n[t]*f44[t]^2 + 5555738523640669400400*Sqrt[3]*lu1^5*f22n[t]*f44[t]^2 - 267546844560362495266320*Sqrt[3]*lu1^6*f22n[t]*f44[t]^2 + 1133427605240437472762160*Sqrt[3]*lu1^7*f22n[t]*f44[t]^2 - 13042290929574319522909800*Sqrt[3]*lu1^8*f22n[t]*f44[t]^2 + 84094768544577415514919120*Sqrt[3]*lu1^9*f22n[t]*f44[t]^2 + 1319630133538809711085346880*Sqrt[3]*lu1^10*f22n[t]*f44[t]^2 + 3551200161497730689573458560*Sqrt[3]*lu1^11*f22n[t]*f44[t]^2 + 2487956868734037884557395840*Sqrt[3]*lu1^12*f22n[t]*f44[t]^2 - 2734520677493648844239712000*Sqrt[3]*lu1^13*f22n[t]*f44[t]^2 - 3627871388498833808247552000*Sqrt[3]*lu1^14*f22n[t]*f44[t]^2 - 340141320112160511060480000*Sqrt[3]*lu1^15*f22n[t]*f44[t]^2 + 2319445578172968*f42n[t]*f44[t]^2 - 79206854061779640*lu1*f42n[t]* f44[t]^2 - 2581644337086663576*lu1^2*f42n[t]*f44[t]^2 - 6857788516879342392*lu1^3*f42n[t]*f44[t]^2 - 1876896041457538738728* lu1^4*f42n[t]*f44[t]^2 + 138918183918005378635896*lu1^5*f42n[t]* f44[t]^2 - 637806740001138266802824*lu1^6*f42n[t]*f44[t]^2 - 13067314281729138603033960*lu1^7*f42n[t]*f44[t]^2 + 192526078417788302056625056*lu1^8*f42n[t]*f44[t]^2 - 570245181176642487906516896*lu1^9*f42n[t]*f44[t]^2 - 3623683919745485742709216640*lu1^10*f42n[t]*f44[t]^2 + 7809835060941589176311396992*lu1^11*f42n[t]*f44[t]^2 + 44436506118988782795574040064*lu1^12*f42n[t]*f44[t]^2 + 55697968010062288986624801280*lu1^13*f42n[t]*f44[t]^2 + 22992837893314773793840742400*lu1^14*f42n[t]*f44[t]^2 + 1782223540368884827683840000*lu1^15*f42n[t]*f44[t]^2 - 119254364282736*Sqrt[70]*f40[t]*f42[t]*f44n[t] + 7962361276370400*Sqrt[70]*lu1*f40[t]*f42[t]*f44n[t] - 5513529215271168*Sqrt[70]*lu1^2*f40[t]*f42[t]*f44n[t] - 16353131992541336736*Sqrt[70]*lu1^3*f40[t]*f42[t]*f44n[t] + 742457349713172446496*Sqrt[70]*lu1^4*f40[t]*f42[t]*f44n[t] - 329161895054158875552*Sqrt[70]*lu1^5*f40[t]*f42[t]*f44n[t] - 240501927439779591442752*Sqrt[70]*lu1^6*f40[t]*f42[t]*f44n[t] + 427303784134413931520160*Sqrt[70]*lu1^7*f40[t]*f42[t]*f44n[t] + 15167250873851207969767248*Sqrt[70]*lu1^8*f40[t]*f42[t]*f44n[t] - 5453500751472114857348928*Sqrt[70]*lu1^9*f40[t]*f42[t]*f44n[t] - 308902534574105135261499840*Sqrt[70]*lu1^10*f40[t]*f42[t]*f44n[t] - 386410119167127501025668864*Sqrt[70]*lu1^11*f40[t]*f42[t]*f44n[t] + 1063751124700332261656946432*Sqrt[70]*lu1^12*f40[t]*f42[t]*f44n[t] + 2322024243748437910585328640*Sqrt[70]*lu1^13*f40[t]*f42[t]*f44n[t] + 1305558795714383937531571200*Sqrt[70]*lu1^14*f40[t]*f42[t]*f44n[t] + 190540236031446860536320000*Sqrt[70]*lu1^15*f40[t]*f42[t]*f44n[t] - 609410690736120*Sqrt[3]*f22n[t]*f44n[t]^2 + 37134337990932000* Sqrt[3]*lu1*f22n[t]*f44n[t]^2 + 723364776360691920*Sqrt[3]*lu1^2* f22n[t]*f44n[t]^2 - 67199124096493225200*Sqrt[3]*lu1^3*f22n[t]* f44n[t]^2 + 852988962906805102560*Sqrt[3]*lu1^4*f22n[t]*f44n[t]^2 + 5555738523640669400400*Sqrt[3]*lu1^5*f22n[t]*f44n[t]^2 - 267546844560362495266320*Sqrt[3]*lu1^6*f22n[t]*f44n[t]^2 + 1133427605240437472762160*Sqrt[3]*lu1^7*f22n[t]*f44n[t]^2 - 13042290929574319522909800*Sqrt[3]*lu1^8*f22n[t]*f44n[t]^2 + 84094768544577415514919120*Sqrt[3]*lu1^9*f22n[t]*f44n[t]^2 + 1319630133538809711085346880*Sqrt[3]*lu1^10*f22n[t]*f44n[t]^2 + 3551200161497730689573458560*Sqrt[3]*lu1^11*f22n[t]*f44n[t]^2 + 2487956868734037884557395840*Sqrt[3]*lu1^12*f22n[t]*f44n[t]^2 - 2734520677493648844239712000*Sqrt[3]*lu1^13*f22n[t]*f44n[t]^2 - 3627871388498833808247552000*Sqrt[3]*lu1^14*f22n[t]*f44n[t]^2 - 340141320112160511060480000*Sqrt[3]*lu1^15*f22n[t]*f44n[t]^2 + 2319445578172968*f42n[t]*f44n[t]^2 - 79206854061779640*lu1*f42n[t]* f44n[t]^2 - 2581644337086663576*lu1^2*f42n[t]*f44n[t]^2 - 6857788516879342392*lu1^3*f42n[t]*f44n[t]^2 - 1876896041457538738728* lu1^4*f42n[t]*f44n[t]^2 + 138918183918005378635896*lu1^5*f42n[t]* f44n[t]^2 - 637806740001138266802824*lu1^6*f42n[t]*f44n[t]^2 - 13067314281729138603033960*lu1^7*f42n[t]*f44n[t]^2 + 192526078417788302056625056*lu1^8*f42n[t]*f44n[t]^2 - 570245181176642487906516896*lu1^9*f42n[t]*f44n[t]^2 - 3623683919745485742709216640*lu1^10*f42n[t]*f44n[t]^2 + 7809835060941589176311396992*lu1^11*f42n[t]*f44n[t]^2 + 44436506118988782795574040064*lu1^12*f42n[t]*f44n[t]^2 + 55697968010062288986624801280*lu1^13*f42n[t]*f44n[t]^2 + 22992837893314773793840742400*lu1^14*f42n[t]*f44n[t]^2 + 1782223540368884827683840000*lu1^15*f42n[t]*f44n[t]^2 - 4596434936730*Sqrt[15]*f22n[t]*f40[t]*g20[t] + 255748774752900*Sqrt[15]*lu1*f22n[t]*f40[t]*g20[t] + 6176603907644040*Sqrt[15]*lu1^2*f22n[t]*f40[t]*g20[t] - 516017483084364300*Sqrt[15]*lu1^3*f22n[t]*f40[t]*g20[t] + 7267022761970889060*Sqrt[15]*lu1^4*f22n[t]*f40[t]*g20[t] + 238890359839674531300*Sqrt[15]*lu1^5*f22n[t]*f40[t]*g20[t] - 5884067747867821025280*Sqrt[15]*lu1^6*f22n[t]*f40[t]*g20[t] - 166986950615053219715220*Sqrt[15]*lu1^7*f22n[t]*f40[t]*g20[t] + 1246992809041899227140950*Sqrt[15]*lu1^8*f22n[t]*f40[t]*g20[t] + 30066038833214451388178520*Sqrt[15]*lu1^9*f22n[t]*f40[t]*g20[t] + 77279714508709445807812920*Sqrt[15]*lu1^10*f22n[t]*f40[t]*g20[t] - 47570089271840047640201760*Sqrt[15]*lu1^11*f22n[t]*f40[t]*g20[t] - 323282266181134410122450400*Sqrt[15]*lu1^12*f22n[t]*f40[t]*g20[t] - 126213934947806962935369600*Sqrt[15]*lu1^13*f22n[t]*f40[t]*g20[t] + 327646341319282109643792000*Sqrt[15]*lu1^14*f22n[t]*f40[t]*g20[t] + 215392707354286923814080000*Sqrt[15]*lu1^15*f22n[t]*f40[t]*g20[t] + 8228763006750*Sqrt[5]*f40[t]*f42n[t]*g20[t] - 3722146298853840* Sqrt[5]*lu1*f40[t]*f42n[t]*g20[t] + 99410454779252760*Sqrt[5]*lu1^2* f40[t]*f42n[t]*g20[t] + 9615109304267181000*Sqrt[5]*lu1^3*f40[t]* f42n[t]*g20[t] - 221655854962734578100*Sqrt[5]*lu1^4*f40[t]*f42n[t]* g20[t] - 5294105088470305244280*Sqrt[5]*lu1^5*f40[t]*f42n[t]* g20[t] + 65885775338583460465920*Sqrt[5]*lu1^6*f40[t]*f42n[t]* g20[t] + 1060351412106059636242680*Sqrt[5]*lu1^7*f40[t]*f42n[t]* g20[t] - 2373546714582193189889850*Sqrt[5]*lu1^8*f40[t]*f42n[t]* g20[t] - 62661230922856677985387800*Sqrt[5]*lu1^9*f40[t]*f42n[t]* g20[t] - 268905259136549560070505960*Sqrt[5]*lu1^10*f40[t]*f42n[t]* g20[t] - 627544034070780384587858400*Sqrt[5]*lu1^11*f40[t]*f42n[t]* g20[t] - 686112226866847896460282080*Sqrt[5]*lu1^12*f40[t]*f42n[t]* g20[t] + 163017653977144062369187200*Sqrt[5]*lu1^13*f40[t]*f42n[t]* g20[t] + 632345131775443609098576000*Sqrt[5]*lu1^14*f40[t]*f42n[t]* g20[t] + 125815965358133163072960000*Sqrt[5]*lu1^15*f40[t]*f42n[t]* g20[t] - 1584943620390*Sqrt[42]*f22n[t]*f44[t]*g20[t] - 379709879475420*Sqrt[42]*lu1*f22n[t]*f44[t]*g20[t] + 19347542402399640*Sqrt[42]*lu1^2*f22n[t]*f44[t]*g20[t] + 1089243343275232860*Sqrt[42]*lu1^3*f22n[t]*f44[t]*g20[t] - 32950401617808351300*Sqrt[42]*lu1^4*f22n[t]*f44[t]*g20[t] - 715192661254808501700*Sqrt[42]*lu1^5*f22n[t]*f44[t]*g20[t] + 11125258993823646430720*Sqrt[42]*lu1^6*f22n[t]*f44[t]*g20[t] + 135825670057079701385700*Sqrt[42]*lu1^7*f22n[t]*f44[t]*g20[t] - 575578230819200696538230*Sqrt[42]*lu1^8*f22n[t]*f44[t]*g20[t] - 7458291466222846265525600*Sqrt[42]*lu1^9*f22n[t]*f44[t]*g20[t] - 25540198580374802173817240*Sqrt[42]*lu1^10*f22n[t]*f44[t]*g20[t] - 20335705341039309879769280*Sqrt[42]*lu1^11*f22n[t]*f44[t]*g20[t] + 127235440540018346671830240*Sqrt[42]*lu1^12*f22n[t]*f44[t]*g20[t] + 197113053249513294371046400*Sqrt[42]*lu1^13*f22n[t]*f44[t]*g20[t] + 43280535748194532442928000*Sqrt[42]*lu1^14*f22n[t]*f44[t]*g20[t] - 142064857136731576320000*Sqrt[42]*lu1^15*f22n[t]*f44[t]*g20[t] + 12958117701750*Sqrt[14]*f42n[t]*f44[t]*g20[t] + 1982752854760080*Sqrt[14]*lu1*f42n[t]*f44[t]*g20[t] - 119360821777521480*Sqrt[14]*lu1^2*f42n[t]*f44[t]*g20[t] - 5867572166981979480*Sqrt[14]*lu1^3*f42n[t]*f44[t]*g20[t] + 188409548191997712060*Sqrt[14]*lu1^4*f42n[t]*f44[t]*g20[t] + 4155236176773420446760*Sqrt[14]*lu1^5*f42n[t]*f44[t]*g20[t] - 56444515685773054819200*Sqrt[14]*lu1^6*f42n[t]*f44[t]*g20[t] - 956519727478682339480040*Sqrt[14]*lu1^7*f42n[t]*f44[t]*g20[t] + 2337116172775123829177790*Sqrt[14]*lu1^8*f42n[t]*f44[t]*g20[t] + 63177949997100125172034920*Sqrt[14]*lu1^9*f42n[t]*f44[t]*g20[t] + 195018774619961788595419320*Sqrt[14]*lu1^10*f42n[t]*f44[t]*g20[t] + 32656196375097326621534880*Sqrt[14]*lu1^11*f42n[t]*f44[t]*g20[t] - 356570613196430293485732960*Sqrt[14]*lu1^12*f42n[t]*f44[t]*g20[t] + 7349445885172964571273600*Sqrt[14]*lu1^13*f42n[t]*f44[t]*g20[t] + 414910786344216529021200000*Sqrt[14]*lu1^14*f42n[t]*f44[t]*g20[t] + 67673968065835620914880000*Sqrt[14]*lu1^15*f42n[t]*f44[t]*g20[t] - 12958117701750*Sqrt[14]*f42[t]*f44n[t]*g20[t] - 1982752854760080*Sqrt[14]*lu1*f42[t]*f44n[t]*g20[t] + 119360821777521480*Sqrt[14]*lu1^2*f42[t]*f44n[t]*g20[t] + 5867572166981979480*Sqrt[14]*lu1^3*f42[t]*f44n[t]*g20[t] - 188409548191997712060*Sqrt[14]*lu1^4*f42[t]*f44n[t]*g20[t] - 4155236176773420446760*Sqrt[14]*lu1^5*f42[t]*f44n[t]*g20[t] + 56444515685773054819200*Sqrt[14]*lu1^6*f42[t]*f44n[t]*g20[t] + 956519727478682339480040*Sqrt[14]*lu1^7*f42[t]*f44n[t]*g20[t] - 2337116172775123829177790*Sqrt[14]*lu1^8*f42[t]*f44n[t]*g20[t] - 63177949997100125172034920*Sqrt[14]*lu1^9*f42[t]*f44n[t]*g20[t] - 195018774619961788595419320*Sqrt[14]*lu1^10*f42[t]*f44n[t]*g20[t] - 32656196375097326621534880*Sqrt[14]*lu1^11*f42[t]*f44n[t]*g20[t] + 356570613196430293485732960*Sqrt[14]*lu1^12*f42[t]*f44n[t]*g20[t] - 7349445885172964571273600*Sqrt[14]*lu1^13*f42[t]*f44n[t]*g20[t] - 414910786344216529021200000*Sqrt[14]*lu1^14*f42[t]*f44n[t]*g20[t] - 67673968065835620914880000*Sqrt[14]*lu1^15*f42[t]*f44n[t]*g20[t] + 453399392160*Sqrt[3]*f22n[t]*g20[t]^2 - 18981415034010*Sqrt[3]*lu1* f22n[t]*g20[t]^2 - 1308056913602010*Sqrt[3]*lu1^2*f22n[t]* g20[t]^2 + 47236535657895870*Sqrt[3]*lu1^3*f22n[t]*g20[t]^2 + 1008177852014717670*Sqrt[3]*lu1^4*f22n[t]*g20[t]^2 - 30074235541863834750*Sqrt[3]*lu1^5*f22n[t]*g20[t]^2 - 332367323687145834230*Sqrt[3]*lu1^6*f22n[t]*g20[t]^2 + 6316708853948152704330*Sqrt[3]*lu1^7*f22n[t]*g20[t]^2 + 68097771959062634593090*Sqrt[3]*lu1^8*f22n[t]*g20[t]^2 - 370305476604668361888560*Sqrt[3]*lu1^9*f22n[t]*g20[t]^2 - 6271035284397220245348440*Sqrt[3]*lu1^10*f22n[t]*g20[t]^2 - 18017763613099206387379520*Sqrt[3]*lu1^11*f22n[t]*g20[t]^2 + 26592241574113810317122400*Sqrt[3]*lu1^12*f22n[t]*g20[t]^2 + 113890544770319041767328000*Sqrt[3]*lu1^13*f22n[t]*g20[t]^2 + 89624481722915126747760000*Sqrt[3]*lu1^14*f22n[t]*g20[t]^2 + 13103440669844403278400000*Sqrt[3]*lu1^15*f22n[t]*g20[t]^2 + 1827081586395*f42n[t]*g20[t]^2 - 179932217005125*lu1*f42n[t]* g20[t]^2 + 338696465439735*lu1^2*f42n[t]*g20[t]^2 + 386784862640550855*lu1^3*f42n[t]*g20[t]^2 - 7862671517404901535* lu1^4*f42n[t]*g20[t]^2 - 130574241180930453855*lu1^5*f42n[t]* g20[t]^2 + 3241112155811086866205*lu1^6*f42n[t]*g20[t]^2 + 24282377696583798851085*lu1^7*f42n[t]*g20[t]^2 - 476438438921521982007440*lu1^8*f42n[t]*g20[t]^2 - 3352505479915887277208720*lu1^9*f42n[t]*g20[t]^2 + 21274149531309147606165760*lu1^10*f42n[t]*g20[t]^2 + 222552682854517508286969760*lu1^11*f42n[t]*g20[t]^2 + 580805098979104291494209280*lu1^12*f42n[t]*g20[t]^2 + 363106932020416178928486400*lu1^13*f42n[t]*g20[t]^2 - 361972739993973500954016000*lu1^14*f42n[t]*g20[t]^2 - 344054814194565380481120000*lu1^15*f42n[t]*g20[t]^2 - 19415489401620*f22n[t]*f42[t]*g22[t] + 6334966776336120*lu1*f22n[t]* f42[t]*g22[t] - 122663886207510960*lu1^2*f22n[t]*f42[t]*g22[t] - 17948406852039095640*lu1^3*f22n[t]*f42[t]*g22[t] + 322839695885440744920*lu1^4*f22n[t]*f42[t]*g22[t] + 12086125372566402828840*lu1^5*f22n[t]*f42[t]*g22[t] - 126636792543815618922000*lu1^6*f22n[t]*f42[t]*g22[t] - 2058041399033848985707080*lu1^7*f22n[t]*f42[t]*g22[t] + 5778692990237162117482620*lu1^8*f22n[t]*f42[t]*g22[t] + 84402235726143528759639840*lu1^9*f22n[t]*f42[t]*g22[t] + 161810636649799443896640960*lu1^10*f22n[t]*f42[t]*g22[t] - 416127558011669162238571680*lu1^11*f22n[t]*f42[t]*g22[t] + 24760888862020229849311680*lu1^12*f22n[t]*f42[t]*g22[t] + 4743695813462276313705504000*lu1^13*f22n[t]*f42[t]*g22[t] + 6562977313346637890196672000*lu1^14*f22n[t]*f42[t]*g22[t] + 1973547352067296924900800000*lu1^15*f22n[t]*f42[t]*g22[t] + 54958216329900*Sqrt[3]*f42[t]*f42n[t]*g22[t] + 3171101613830280*Sqrt[3]*lu1*f42[t]*f42n[t]*g22[t] - 326258105967920880*Sqrt[3]*lu1^2*f42[t]*f42n[t]*g22[t] - 10755436127514043680*Sqrt[3]*lu1^3*f42[t]*f42n[t]*g22[t] + 453160318652802557160*Sqrt[3]*lu1^4*f42[t]*f42n[t]*g22[t] + 9140358334898271789360*Sqrt[3]*lu1^5*f42[t]*f42n[t]*g22[t] - 142076446292043289088400*Sqrt[3]*lu1^6*f42[t]*f42n[t]*g22[t] - 2339965727582544675500640*Sqrt[3]*lu1^7*f42[t]*f42n[t]*g22[t] + 7535581492885136477056140*Sqrt[3]*lu1^8*f42[t]*f42n[t]*g22[t] + 178452374078755376323818120*Sqrt[3]*lu1^9*f42[t]*f42n[t]*g22[t] + 472308684458088520816693920*Sqrt[3]*lu1^10*f42[t]*f42n[t]*g22[t] - 478113521650897911212416320*Sqrt[3]*lu1^11*f42[t]*f42n[t]*g22[t] - 1984440495908375972662378560*Sqrt[3]*lu1^12*f42[t]*f42n[t]*g22[t] + 150402426750269703118761600*Sqrt[3]*lu1^13*f42[t]*f42n[t]*g22[t] + 2116215375164613217971840000*Sqrt[3]*lu1^14*f42[t]*f42n[t]*g22[t] + 404032872485993806298880000*Sqrt[3]*lu1^15*f42[t]*f42n[t]*g22[t] - 7855100217900*Sqrt[210]*f40[t]*f44n[t]*g22[t] - 944989348403880*Sqrt[210]*lu1*f40[t]*f44n[t]*g22[t] + 67586095414609200*Sqrt[210]*lu1^2*f40[t]*f44n[t]*g22[t] + 2767828930835286240*Sqrt[210]*lu1^3*f40[t]*f44n[t]*g22[t] - 109587529039543999080*Sqrt[210]*lu1^4*f40[t]*f44n[t]*g22[t] - 1968754893048315693360*Sqrt[210]*lu1^5*f40[t]*f44n[t]*g22[t] + 38628674573307585096720*Sqrt[210]*lu1^6*f40[t]*f44n[t]*g22[t] + 530757957252557293303200*Sqrt[210]*lu1^7*f40[t]*f44n[t]*g22[t] - 2897779689141958179412620*Sqrt[210]*lu1^8*f40[t]*f44n[t]*g22[t] - 51579755010311678793101160*Sqrt[210]*lu1^9*f40[t]*f44n[t]*g22[t] - 156157619734752715100941920*Sqrt[210]*lu1^10*f40[t]*f44n[t]*g22[t] - 51461923294590493510837440*Sqrt[210]*lu1^11*f40[t]*f44n[t]*g22[t] + 228616429452237195744897600*Sqrt[210]*lu1^12*f40[t]*f44n[t]*g22[t] + 34663564882393252964246400*Sqrt[210]*lu1^13*f40[t]*f44n[t]*g22[t] - 239137884356520021809664000*Sqrt[210]*lu1^14*f40[t]*f44n[t]*g22[t] - 75195002930353780481280000*Sqrt[210]*lu1^15*f40[t]*f44n[t]*g22[t] - 290175836535*Sqrt[42]*f44n[t]*g20[t]*g22[t] - 5445954548775*Sqrt[42]* lu1*f44n[t]*g20[t]*g22[t] + 1675050561772965*Sqrt[42]*lu1^2*f44n[t]* g20[t]*g22[t] + 10212192204063525*Sqrt[42]*lu1^3*f44n[t]*g20[t]* g22[t] - 2480758864653513405*Sqrt[42]*lu1^4*f44n[t]*g20[t]*g22[t] + 3267529579896404355*Sqrt[42]*lu1^5*f44n[t]*g20[t]*g22[t] + 1019743728391333425415*Sqrt[42]*lu1^6*f44n[t]*g20[t]*g22[t] - 322835342303234311785*Sqrt[42]*lu1^7*f44n[t]*g20[t]*g22[t] - 171879956588029872221000*Sqrt[42]*lu1^8*f44n[t]*g20[t]*g22[t] - 435723128786234629341560*Sqrt[42]*lu1^9*f44n[t]*g20[t]*g22[t] + 10172930379069057762307600*Sqrt[42]*lu1^10*f44n[t]*g20[t]*g22[t] + 61072719465458323209726880*Sqrt[42]*lu1^11*f44n[t]*g20[t]*g22[t] + 96718905343656063151057920*Sqrt[42]*lu1^12*f44n[t]*g20[t]*g22[t] - 30116114666302068575350400*Sqrt[42]*lu1^13*f44n[t]*g20[t]*g22[t] - 133424709380752367532864000*Sqrt[42]*lu1^14*f44n[t]*g20[t]*g22[t] - 45510735912704858184480000*Sqrt[42]*lu1^15*f44n[t]*g20[t]*g22[t] - 256419473310*Sqrt[3]*f22n[t]*g22[t]^2 + 17872491046410*Sqrt[3]*lu1* f22n[t]*g22[t]^2 + 432945913810410*Sqrt[3]*lu1^2*f22n[t]*g22[t]^2 - 46149114180839670*Sqrt[3]*lu1^3*f22n[t]*g22[t]^2 + 171081994013961030*Sqrt[3]*lu1^4*f22n[t]*g22[t]^2 + 29489842714527945750*Sqrt[3]*lu1^5*f22n[t]*g22[t]^2 - 248041965730244255570*Sqrt[3]*lu1^6*f22n[t]*g22[t]^2 - 6144125978885665300530*Sqrt[3]*lu1^7*f22n[t]*g22[t]^2 + 40844929858055537774560*Sqrt[3]*lu1^8*f22n[t]*g22[t]^2 + 547244790354435439225960*Sqrt[3]*lu1^9*f22n[t]*g22[t]^2 - 1072996526549564878220960*Sqrt[3]*lu1^10*f22n[t]*g22[t]^2 - 12918237310817054475939680*Sqrt[3]*lu1^11*f22n[t]*g22[t]^2 - 18450285797317962626438400*Sqrt[3]*lu1^12*f22n[t]*g22[t]^2 + 22755568670123299362352000*Sqrt[3]*lu1^13*f22n[t]*g22[t]^2 + 66082113110196066723840000*Sqrt[3]*lu1^14*f22n[t]*g22[t]^2 + 37516301537353544505600000*Sqrt[3]*lu1^15*f22n[t]*g22[t]^2 + 4436702344620*f42n[t]*g22[t]^2 - 313207152148800*lu1*f42n[t]* g22[t]^2 - 5917813850730600*lu1^2*f42n[t]*g22[t]^2 + 703758561752970360*lu1^3*f42n[t]*g22[t]^2 - 4675340274676715280* lu1^4*f42n[t]*g22[t]^2 - 304296152957498137800*lu1^5*f42n[t]* g22[t]^2 + 2196506077217887748040*lu1^6*f42n[t]*g22[t]^2 + 59561161156317700861800*lu1^7*f42n[t]*g22[t]^2 - 201119241832146191097180*lu1^8*f42n[t]*g22[t]^2 - 5474144221292967355950360*lu1^9*f42n[t]*g22[t]^2 - 8414561240890411650432480*lu1^10*f42n[t]*g22[t]^2 + 119782872125722239433970880*lu1^11*f42n[t]*g22[t]^2 + 559853070124896731278804800*lu1^12*f42n[t]*g22[t]^2 + 719098460903990927816784000*lu1^13*f42n[t]*g22[t]^2 - 65118228662105951754240000*lu1^14*f42n[t]*g22[t]^2 - 402819634230383564812800000*lu1^15*f42n[t]*g22[t]^2 + 2096511417000*Sqrt[3]*f22n[t]^2*g22n[t] - 506609312695200*Sqrt[3]* lu1*f22n[t]^2*g22n[t] + 9962677546192800*Sqrt[3]*lu1^2*f22n[t]^2* g22n[t] + 1373820774196384800*Sqrt[3]*lu1^3*f22n[t]^2*g22n[t] - 31215625687581706800*Sqrt[3]*lu1^4*f22n[t]^2*g22n[t] - 867475336710642660000*Sqrt[3]*lu1^5*f22n[t]^2*g22n[t] + 16033326261459722072000*Sqrt[3]*lu1^6*f22n[t]^2*g22n[t] + 145858092690483738021600*Sqrt[3]*lu1^7*f22n[t]^2*g22n[t] - 1792597875142578052377400*Sqrt[3]*lu1^8*f22n[t]^2*g22n[t] - 10440779984544632769217600*Sqrt[3]*lu1^9*f22n[t]^2*g22n[t] + 38194324217807366837228000*Sqrt[3]*lu1^10*f22n[t]^2*g22n[t] + 188563153715249631184380800*Sqrt[3]*lu1^11*f22n[t]^2*g22n[t] - 378900856626596032082640000*Sqrt[3]*lu1^12*f22n[t]^2*g22n[t] - 1667070270199611370762240000*Sqrt[3]*lu1^13*f22n[t]^2*g22n[t] - 1615958630815720863672000000*Sqrt[3]*lu1^14*f22n[t]^2*g22n[t] - 480063456032096480544000000*Sqrt[3]*lu1^15*f22n[t]^2*g22n[t] + 1959112291500*Sqrt[3]*f40[t]^2*g22n[t] + 942114720257100*Sqrt[3]*lu1* f40[t]^2*g22n[t] - 29969464426012800*Sqrt[3]*lu1^2*f40[t]^2* g22n[t] - 2859714617881750200*Sqrt[3]*lu1^3*f40[t]^2*g22n[t] + 40047091054469522400*Sqrt[3]*lu1^4*f40[t]^2*g22n[t] + 2003506395334911511200*Sqrt[3]*lu1^5*f40[t]^2*g22n[t] + 2497493623647204709800*Sqrt[3]*lu1^6*f40[t]^2*g22n[t] - 267304652666410665875400*Sqrt[3]*lu1^7*f40[t]^2*g22n[t] - 3349255601563022399901900*Sqrt[3]*lu1^8*f40[t]^2*g22n[t] - 23652804197278988362694700*Sqrt[3]*lu1^9*f40[t]^2*g22n[t] - 65362758303612140093322600*Sqrt[3]*lu1^10*f40[t]^2*g22n[t] - 74227814277980689407868800*Sqrt[3]*lu1^11*f40[t]^2*g22n[t] - 22743281696790833113977600*Sqrt[3]*lu1^12*f40[t]^2*g22n[t] + 98907988681271406696072000*Sqrt[3]*lu1^13*f40[t]^2*g22n[t] + 93673266349060827177840000*Sqrt[3]*lu1^14*f40[t]^2*g22n[t] - 75197560549491749678400000*Sqrt[3]*lu1^15*f40[t]^2*g22n[t] - 45522083681100*Sqrt[3]*f42[t]^2*g22n[t] + 249491423277720*Sqrt[3]* lu1*f42[t]^2*g22n[t] + 161274158045329680*Sqrt[3]*lu1^2*f42[t]^2* g22n[t] + 1390152308206877280*Sqrt[3]*lu1^3*f42[t]^2*g22n[t] - 154558924457680221960*Sqrt[3]*lu1^4*f42[t]^2*g22n[t] - 3248335367362057854960*Sqrt[3]*lu1^5*f42[t]^2*g22n[t] + 41283628757098564465200*Sqrt[3]*lu1^6*f42[t]^2*g22n[t] + 907694061604180660686240*Sqrt[3]*lu1^7*f42[t]^2*g22n[t] - 942768119439310828148940*Sqrt[3]*lu1^8*f42[t]^2*g22n[t] - 54491906929553700606927720*Sqrt[3]*lu1^9*f42[t]^2*g22n[t] - 58043944523635275345460320*Sqrt[3]*lu1^10*f42[t]^2*g22n[t] + 889366685879619536091097920*Sqrt[3]*lu1^11*f42[t]^2*g22n[t] + 1929692185970063911650346560*Sqrt[3]*lu1^12*f42[t]^2*g22n[t] - 302463291151157067660393600*Sqrt[3]*lu1^13*f42[t]^2*g22n[t] - 2023263970063331067072000000*Sqrt[3]*lu1^14*f42[t]^2*g22n[t] - 327829843981992097025280000*Sqrt[3]*lu1^15*f42[t]^2*g22n[t] - 80484401474100*f22n[t]*f42n[t]*g22n[t] + 11686077326083680*lu1* f22n[t]*f42n[t]*g22n[t] - 89788035393285840*lu1^2*f22n[t]*f42n[t]* g22n[t] - 29876868916384618440*lu1^3*f22n[t]*f42n[t]*g22n[t] + 490635951366731812200*lu1^4*f22n[t]*f42n[t]*g22n[t] + 16607919792748316864520*lu1^5*f22n[t]*f42n[t]*g22n[t] - 198330601569232279929600*lu1^6*f22n[t]*f42n[t]*g22n[t] - 2478775151297114225788440*lu1^7*f22n[t]*f42n[t]*g22n[t] + 13296067855475565375609420*lu1^8*f22n[t]*f42n[t]*g22n[t] + 88374691390129496294631000*lu1^9*f22n[t]*f42n[t]*g22n[t] - 225462765453728295684587760*lu1^10*f22n[t]*f42n[t]*g22n[t] - 2135295423376214756043085920*lu1^11*f22n[t]*f42n[t]*g22n[t] - 3590126507442735248510358720*lu1^12*f22n[t]*f42n[t]*g22n[t] + 1218691682882000546922768000*lu1^13*f22n[t]*f42n[t]*g22n[t] + 6096798197178348473285472000*lu1^14*f22n[t]*f42n[t]*g22n[t] + 2844357294770899009502400000*lu1^15*f22n[t]*f42n[t]*g22n[t] + 9436132648800*Sqrt[3]*f42n[t]^2*g22n[t] + 3420593037108000*Sqrt[3]* lu1*f42n[t]^2*g22n[t] - 164983947922591200*Sqrt[3]*lu1^2*f42n[t]^2* g22n[t] - 9365283819307166400*Sqrt[3]*lu1^3*f42n[t]^2*g22n[t] + 298601394195122335200*Sqrt[3]*lu1^4*f42n[t]^2*g22n[t] + 5892022967536213934400*Sqrt[3]*lu1^5*f42n[t]^2*g22n[t] - 100792817534944724623200*Sqrt[3]*lu1^6*f42n[t]^2*g22n[t] - 1432271665978364014814400*Sqrt[3]*lu1^7*f42n[t]^2*g22n[t] + 6592813373445825648907200*Sqrt[3]*lu1^8*f42n[t]^2*g22n[t] + 123960467149201675716890400*Sqrt[3]*lu1^9*f42n[t]^2*g22n[t] + 414264739934453245471233600*Sqrt[3]*lu1^10*f42n[t]^2*g22n[t] + 411253164228721624878681600*Sqrt[3]*lu1^11*f42n[t]^2*g22n[t] - 54748309938312061012032000*Sqrt[3]*lu1^12*f42n[t]^2*g22n[t] - 152060864400887364541632000*Sqrt[3]*lu1^13*f42n[t]^2*g22n[t] + 92951405101282150899840000*Sqrt[3]*lu1^14*f42n[t]^2*g22n[t] + 76203028504001709273600000*Sqrt[3]*lu1^15*f42n[t]^2*g22n[t] + 7855100217900*Sqrt[210]*f40[t]*f44[t]*g22n[t] + 944989348403880*Sqrt[210]*lu1*f40[t]*f44[t]*g22n[t] - 67586095414609200*Sqrt[210]*lu1^2*f40[t]*f44[t]*g22n[t] - 2767828930835286240*Sqrt[210]*lu1^3*f40[t]*f44[t]*g22n[t] + 109587529039543999080*Sqrt[210]*lu1^4*f40[t]*f44[t]*g22n[t] + 1968754893048315693360*Sqrt[210]*lu1^5*f40[t]*f44[t]*g22n[t] - 38628674573307585096720*Sqrt[210]*lu1^6*f40[t]*f44[t]*g22n[t] - 530757957252557293303200*Sqrt[210]*lu1^7*f40[t]*f44[t]*g22n[t] + 2897779689141958179412620*Sqrt[210]*lu1^8*f40[t]*f44[t]*g22n[t] + 51579755010311678793101160*Sqrt[210]*lu1^9*f40[t]*f44[t]*g22n[t] + 156157619734752715100941920*Sqrt[210]*lu1^10*f40[t]*f44[t]*g22n[t] + 51461923294590493510837440*Sqrt[210]*lu1^11*f40[t]*f44[t]*g22n[t] - 228616429452237195744897600*Sqrt[210]*lu1^12*f40[t]*f44[t]*g22n[t] - 34663564882393252964246400*Sqrt[210]*lu1^13*f40[t]*f44[t]*g22n[t] + 239137884356520021809664000*Sqrt[210]*lu1^14*f40[t]*f44[t]*g22n[t] + 75195002930353780481280000*Sqrt[210]*lu1^15*f40[t]*f44[t]*g22n[t] + 10169715628800*Sqrt[3]*f44[t]^2*g22n[t] - 7635590169905880*Sqrt[3]* lu1*f44[t]^2*g22n[t] + 242431433432304480*Sqrt[3]*lu1^2*f44[t]^2* g22n[t] + 19710275845064248080*Sqrt[3]*lu1^3*f44[t]^2*g22n[t] - 520861566121437537360*Sqrt[3]*lu1^4*f44[t]^2*g22n[t] - 10954159953720996972960*Sqrt[3]*lu1^5*f44[t]^2*g22n[t] + 172398220149392269796400*Sqrt[3]*lu1^6*f44[t]^2*g22n[t] + 2437617059331548033088240*Sqrt[3]*lu1^7*f44[t]^2*g22n[t] - 10324277599556762479113840*Sqrt[3]*lu1^8*f44[t]^2*g22n[t] - 195824460213848225454032520*Sqrt[3]*lu1^9*f44[t]^2*g22n[t] - 746258344650741547316611920*Sqrt[3]*lu1^10*f44[t]^2*g22n[t] - 1365932242858535814212849280*Sqrt[3]*lu1^11*f44[t]^2*g22n[t] - 1161802649638891263666848640*Sqrt[3]*lu1^12*f44[t]^2*g22n[t] + 439825263781698503059478400*Sqrt[3]*lu1^13*f44[t]^2*g22n[t] + 1100490992273615858129760000*Sqrt[3]*lu1^14*f44[t]^2*g22n[t] + 116278879346319145921920000*Sqrt[3]*lu1^15*f44[t]^2*g22n[t] + 10169715628800*Sqrt[3]*f44n[t]^2*g22n[t] - 7635590169905880*Sqrt[3]* lu1*f44n[t]^2*g22n[t] + 242431433432304480*Sqrt[3]*lu1^2*f44n[t]^2* g22n[t] + 19710275845064248080*Sqrt[3]*lu1^3*f44n[t]^2*g22n[t] - 520861566121437537360*Sqrt[3]*lu1^4*f44n[t]^2*g22n[t] - 10954159953720996972960*Sqrt[3]*lu1^5*f44n[t]^2*g22n[t] + 172398220149392269796400*Sqrt[3]*lu1^6*f44n[t]^2*g22n[t] + 2437617059331548033088240*Sqrt[3]*lu1^7*f44n[t]^2*g22n[t] - 10324277599556762479113840*Sqrt[3]*lu1^8*f44n[t]^2*g22n[t] - 195824460213848225454032520*Sqrt[3]*lu1^9*f44n[t]^2*g22n[t] - 746258344650741547316611920*Sqrt[3]*lu1^10*f44n[t]^2*g22n[t] - 1365932242858535814212849280*Sqrt[3]*lu1^11*f44n[t]^2*g22n[t] - 1161802649638891263666848640*Sqrt[3]*lu1^12*f44n[t]^2*g22n[t] + 439825263781698503059478400*Sqrt[3]*lu1^13*f44n[t]^2*g22n[t] + 1100490992273615858129760000*Sqrt[3]*lu1^14*f44n[t]^2*g22n[t] + 116278879346319145921920000*Sqrt[3]*lu1^15*f44n[t]^2*g22n[t] + 360566506755*Sqrt[15]*f40[t]*g20[t]*g22n[t] - 18809580023325*Sqrt[15]*lu1*f40[t]*g20[t]*g22n[t] - 419006484740025*Sqrt[15]*lu1^2*f40[t]*g20[t]*g22n[t] + 21127477328689095*Sqrt[15]*lu1^3*f40[t]*g20[t]*g22n[t] - 405422068284524655*Sqrt[15]*lu1^4*f40[t]*g20[t]*g22n[t] + 23408535904862009265*Sqrt[15]*lu1^5*f40[t]*g20[t]*g22n[t] - 38554089007104858915*Sqrt[15]*lu1^6*f40[t]*g20[t]*g22n[t] - 7699484446689085867635*Sqrt[15]*lu1^7*f40[t]*g20[t]*g22n[t] - 17014256409416652782760*Sqrt[15]*lu1^8*f40[t]*g20[t]*g22n[t] + 496765247042151980987640*Sqrt[15]*lu1^9*f40[t]*g20[t]*g22n[t] + 6182324953972169098365360*Sqrt[15]*lu1^10*f40[t]*g20[t]*g22n[t] + 52610748684091922798903520*Sqrt[15]*lu1^11*f40[t]*g20[t]*g22n[t] + 152561424098218866654094080*Sqrt[15]*lu1^12*f40[t]*g20[t]*g22n[t] + 108087112374900177188342400*Sqrt[15]*lu1^13*f40[t]*g20[t]*g22n[t] - 73417789166114790511296000*Sqrt[15]*lu1^14*f40[t]*g20[t]*g22n[t] - 73495493223801239092320000*Sqrt[15]*lu1^15*f40[t]*g20[t]*g22n[t] + 290175836535*Sqrt[42]*f44[t]*g20[t]*g22n[t] + 5445954548775*Sqrt[42]* lu1*f44[t]*g20[t]*g22n[t] - 1675050561772965*Sqrt[42]*lu1^2*f44[t]* g20[t]*g22n[t] - 10212192204063525*Sqrt[42]*lu1^3*f44[t]*g20[t]* g22n[t] + 2480758864653513405*Sqrt[42]*lu1^4*f44[t]*g20[t]* g22n[t] - 3267529579896404355*Sqrt[42]*lu1^5*f44[t]*g20[t]* g22n[t] - 1019743728391333425415*Sqrt[42]*lu1^6*f44[t]*g20[t]* g22n[t] + 322835342303234311785*Sqrt[42]*lu1^7*f44[t]*g20[t]* g22n[t] + 171879956588029872221000*Sqrt[42]*lu1^8*f44[t]*g20[t]* g22n[t] + 435723128786234629341560*Sqrt[42]*lu1^9*f44[t]*g20[t]* g22n[t] - 10172930379069057762307600*Sqrt[42]*lu1^10*f44[t]*g20[t]* g22n[t] - 61072719465458323209726880*Sqrt[42]*lu1^11*f44[t]*g20[t]* g22n[t] - 96718905343656063151057920*Sqrt[42]*lu1^12*f44[t]*g20[t]* g22n[t] + 30116114666302068575350400*Sqrt[42]*lu1^13*f44[t]*g20[t]* g22n[t] + 133424709380752367532864000*Sqrt[42]*lu1^14*f44[t]*g20[t]* g22n[t] + 45510735912704858184480000*Sqrt[42]*lu1^15*f44[t]*g20[t]* g22n[t] - 4616602561350*f42[t]*g22[t]*g22n[t] + 9268936413750*lu1*f42[t]*g22[t]*g22n[t] + 20415593137720950*lu1^2* f42[t]*g22[t]*g22n[t] + 35659122313130550*lu1^3*f42[t]*g22[t]* g22n[t] - 26388204471285058350*lu1^4*f42[t]*g22[t]*g22n[t] - 51022301869397985750*lu1^5*f42[t]*g22[t]*g22n[t] + 11616694778179144256850*lu1^6*f42[t]*g22[t]*g22n[t] + 25241169074172685996050*lu1^7*f42[t]*g22[t]*g22n[t] - 1869846050080023614550900*lu1^8*f42[t]*g22[t]*g22n[t] - 6764754875253209508796200*lu1^9*f42[t]*g22[t]*g22n[t] + 91261748187131265707090400*lu1^10*f42[t]*g22[t]*g22n[t] + 489777786421061425613539200*lu1^11*f42[t]*g22[t]*g22n[t] + 515982344747809960496548800*lu1^12*f42[t]*g22[t]*g22n[t] - 744132961401773935928976000*lu1^13*f42[t]*g22[t]*g22n[t] - 1225711271160533670327360000*lu1^14*f42[t]*g22[t]*g22n[t] - 236387679428675007979200000*lu1^15*f42[t]*g22[t]*g22n[t] + 393959837700*Sqrt[3]*f22n[t]*g22n[t]^2 - 2217847975200*Sqrt[3]*lu1* f22n[t]*g22n[t]^2 - 1750221999583200*Sqrt[3]*lu1^2*f22n[t]* g22n[t]^2 + 2174842954112400*Sqrt[3]*lu1^3*f22n[t]*g22n[t]^2 + 2358519692057357400*Sqrt[3]*lu1^4*f22n[t]*g22n[t]^2 - 1168785654671778000*Sqrt[3]*lu1^5*f22n[t]*g22n[t]^2 - 1160818578834780179600*Sqrt[3]*lu1^6*f22n[t]*g22n[t]^2 + 345165750124974807600*Sqrt[3]*lu1^7*f22n[t]*g22n[t]^2 + 217885403634236344735300*Sqrt[3]*lu1^8*f22n[t]*g22n[t]^2 + 353878627499534154674800*Sqrt[3]*lu1^9*f22n[t]*g22n[t]^2 - 14688063621893570247138800*Sqrt[3]*lu1^10*f22n[t]*g22n[t]^2 - 61872001847832521726638400*Sqrt[3]*lu1^11*f22n[t]*g22n[t]^2 + 16283911553591695381368000*Sqrt[3]*lu1^12*f22n[t]*g22n[t]^2 + 273292226880884682259360000*Sqrt[3]*lu1^13*f22n[t]*g22n[t]^2 + 311413189666222386943200000*Sqrt[3]*lu1^14*f22n[t]*g22n[t]^2 + 101239484414395895568000000*Sqrt[3]*lu1^15*f22n[t]*g22n[t]^2 - 179900216730*f42n[t]*g22n[t]^2 - 303938215735050*lu1*f42n[t]* g22n[t]^2 + 14497779286990350*lu1^2*f42n[t]*g22n[t]^2 + 739417684066100910*lu1^3*f42n[t]*g22n[t]^2 - 31063544745961773630* lu1^4*f42n[t]*g22n[t]^2 - 355318454826896123550*lu1^5*f42n[t]* g22n[t]^2 + 13813200855397032004890*lu1^6*f42n[t]*g22n[t]^2 + 84802330230490386857850*lu1^7*f42n[t]*g22n[t]^2 - 2070965291912169805648080*lu1^8*f42n[t]*g22n[t]^2 - 12238899096546176864746560*lu1^9*f42n[t]*g22n[t]^2 + 82847186946240854056657920*lu1^10*f42n[t]*g22n[t]^2 + 609560658546783665047510080*lu1^11*f42n[t]*g22n[t]^2 + 1075835414872706691775353600*lu1^12*f42n[t]*g22n[t]^2 - 25034500497783008112192000*lu1^13*f42n[t]*g22n[t]^2 - 1290829499822639622081600000*lu1^14*f42n[t]*g22n[t]^2 - 639207313659058572792000000*lu1^15*f42n[t]*g22n[t]^2 - 6734120980860*Sqrt[3]*f22n[t]*f40[t]*g40[t] + 111689330872860* Sqrt[3]*lu1*f22n[t]*f40[t]*g40[t] + 18604678605509880*Sqrt[3]*lu1^2* f22n[t]*f40[t]*g40[t] + 127123014195763560*Sqrt[3]*lu1^3*f22n[t]* f40[t]*g40[t] - 9141542987336402760*Sqrt[3]*lu1^4*f22n[t]*f40[t]* g40[t] - 529321665407215783440*Sqrt[3]*lu1^5*f22n[t]*f40[t]* g40[t] - 5156988418293472447440*Sqrt[3]*lu1^6*f22n[t]*f40[t]* g40[t] - 79264082381423091452040*Sqrt[3]*lu1^7*f22n[t]*f40[t]* g40[t] + 528559236023379770460420*Sqrt[3]*lu1^8*f22n[t]*f40[t]* g40[t] + 3400676012234644147360980*Sqrt[3]*lu1^9*f22n[t]*f40[t]* g40[t] - 9493283443982504187588840*Sqrt[3]*lu1^10*f22n[t]*f40[t]* g40[t] - 2494952056513325237637120*Sqrt[3]*lu1^11*f22n[t]*f40[t]* g40[t] + 122751716796293989658092800*Sqrt[3]*lu1^12*f22n[t]*f40[t]* g40[t] + 155198731298026209325896000*Sqrt[3]*lu1^13*f22n[t]*f40[t]* g40[t] + 71179607421304953807600000*Sqrt[3]*lu1^14*f22n[t]*f40[t]* g40[t] + 80673606950517156139200000*Sqrt[3]*lu1^15*f22n[t]*f40[t]* g40[t] - 222264050192460*f40[t]*f42n[t]*g40[t] + 6565433865348780*lu1*f40[t]*f42n[t]*g40[t] + 440076817765729440* lu1^2*f40[t]*f42n[t]*g40[t] - 3934714436358285240*lu1^3*f40[t]* f42n[t]*g40[t] - 427744823222297576880*lu1^4*f40[t]*f42n[t]* g40[t] + 16976615557793231391840*lu1^5*f40[t]*f42n[t]*g40[t] + 189495203193163585559880*lu1^6*f40[t]*f42n[t]*g40[t] - 5920707334947935379159240*lu1^7*f40[t]*f42n[t]*g40[t] - 42086260284474951916866180*lu1^8*f40[t]*f42n[t]*g40[t] + 262362896543830623436316340*lu1^9*f40[t]*f42n[t]*g40[t] + 1222765680411875237547674520*lu1^10*f40[t]*f42n[t]*g40[t] - 49224111619348377934623360*lu1^11*f40[t]*f42n[t]*g40[t] - 4598116329607101242327744640*lu1^12*f40[t]*f42n[t]*g40[t] - 4863649551558899440485124800*lu1^13*f40[t]*f42n[t]*g40[t] - 871814297146887331516944000*lu1^14*f40[t]*f42n[t]*g40[t] + 258341991857478355780800000*lu1^15*f40[t]*f42n[t]*g40[t] + 6734803438584*Sqrt[210]*f22n[t]*f44[t]*g40[t] + 524528946705348*Sqrt[210]*lu1*f22n[t]*f44[t]*g40[t] - 36235752932098512*Sqrt[210]*lu1^2*f22n[t]*f44[t]*g40[t] - 1542540158190879120*Sqrt[210]*lu1^3*f22n[t]*f44[t]*g40[t] + 35220799956298620456*Sqrt[210]*lu1^4*f22n[t]*f44[t]*g40[t] + 729769603205214304200*Sqrt[210]*lu1^5*f22n[t]*f44[t]*g40[t] - 1675938116944171585752*Sqrt[210]*lu1^6*f22n[t]*f44[t]*g40[t] - 16137269159715394018224*Sqrt[210]*lu1^7*f22n[t]*f44[t]*g40[t] - 239271516536408416812960*Sqrt[210]*lu1^8*f22n[t]*f44[t]*g40[t] - 102376576238284747235148*Sqrt[210]*lu1^9*f22n[t]*f44[t]*g40[t] + 5080721758846340277948264*Sqrt[210]*lu1^10*f22n[t]*f44[t]*g40[t] + 13241962765622562228913344*Sqrt[210]*lu1^11*f22n[t]*f44[t]*g40[t] - 33542863768509521197337280*Sqrt[210]*lu1^12*f22n[t]*f44[t]*g40[t] - 123808277119789939130500800*Sqrt[210]*lu1^13*f22n[t]*f44[t]*g40[t] - 95137685799623911425072000*Sqrt[210]*lu1^14*f22n[t]*f44[t]*g40[t] - 6919155347824023595200000*Sqrt[210]*lu1^15*f22n[t]*f44[t]*g40[t] + 2738837093220*Sqrt[70]*f42n[t]*f44[t]*g40[t] + 820096340441004*Sqrt[70]*lu1*f42n[t]*f44[t]*g40[t] - 12048106164753024*Sqrt[70]*lu1^2*f42n[t]*f44[t]*g40[t] - 2089559608754728824*Sqrt[70]*lu1^3*f42n[t]*f44[t]*g40[t] + 1653594865226003088*Sqrt[70]*lu1^4*f42n[t]*f44[t]*g40[t] - 798989232669367089312*Sqrt[70]*lu1^5*f42n[t]*f44[t]*g40[t] + 302658484833196505640*Sqrt[70]*lu1^6*f42n[t]*f44[t]*g40[t] + 252463931881911578635128*Sqrt[70]*lu1^7*f42n[t]*f44[t]*g40[t] + 1248422463270082214776332*Sqrt[70]*lu1^8*f42n[t]*f44[t]*g40[t] - 7817439515086076612091084*Sqrt[70]*lu1^9*f42n[t]*f44[t]*g40[t] - 46900796007235186784292264*Sqrt[70]*lu1^10*f42n[t]*f44[t]*g40[t] - 66990409577742256594678656*Sqrt[70]*lu1^11*f42n[t]*f44[t]*g40[t] + 21914446395562528427574912*Sqrt[70]*lu1^12*f42n[t]*f44[t]*g40[t] + 145263376838697302383007040*Sqrt[70]*lu1^13*f42n[t]*f44[t]*g40[t] + 125216961512679125332387200*Sqrt[70]*lu1^14*f42n[t]*f44[t]*g40[t] + 12185465021861000667840000*Sqrt[70]*lu1^15*f42n[t]*f44[t]*g40[t] - 2738837093220*Sqrt[70]*f42[t]*f44n[t]*g40[t] - 820096340441004*Sqrt[70]*lu1*f42[t]*f44n[t]*g40[t] + 12048106164753024*Sqrt[70]*lu1^2*f42[t]*f44n[t]*g40[t] + 2089559608754728824*Sqrt[70]*lu1^3*f42[t]*f44n[t]*g40[t] - 1653594865226003088*Sqrt[70]*lu1^4*f42[t]*f44n[t]*g40[t] + 798989232669367089312*Sqrt[70]*lu1^5*f42[t]*f44n[t]*g40[t] - 302658484833196505640*Sqrt[70]*lu1^6*f42[t]*f44n[t]*g40[t] - 252463931881911578635128*Sqrt[70]*lu1^7*f42[t]*f44n[t]*g40[t] - 1248422463270082214776332*Sqrt[70]*lu1^8*f42[t]*f44n[t]*g40[t] + 7817439515086076612091084*Sqrt[70]*lu1^9*f42[t]*f44n[t]*g40[t] + 46900796007235186784292264*Sqrt[70]*lu1^10*f42[t]*f44n[t]*g40[t] + 66990409577742256594678656*Sqrt[70]*lu1^11*f42[t]*f44n[t]*g40[t] - 21914446395562528427574912*Sqrt[70]*lu1^12*f42[t]*f44n[t]*g40[t] - 145263376838697302383007040*Sqrt[70]*lu1^13*f42[t]*f44n[t]*g40[t] - 125216961512679125332387200*Sqrt[70]*lu1^14*f42[t]*f44n[t]*g40[t] - 12185465021861000667840000*Sqrt[70]*lu1^15*f42[t]*f44n[t]*g40[t] + 246438770760*Sqrt[15]*f22n[t]*g20[t]*g40[t] - 19336659841980*Sqrt[15]*lu1*f22n[t]*g20[t]*g40[t] - 265550726509380*Sqrt[15]*lu1^2*f22n[t]*g20[t]*g40[t] + 39010622157327600*Sqrt[15]*lu1^3*f22n[t]*g20[t]*g40[t] - 273363524128344780*Sqrt[15]*lu1^4*f22n[t]*g20[t]*g40[t] - 7015726863239493360*Sqrt[15]*lu1^5*f22n[t]*g20[t]*g40[t] + 49903109020367727540*Sqrt[15]*lu1^6*f22n[t]*g20[t]*g40[t] + 868344468030133614000*Sqrt[15]*lu1^7*f22n[t]*g20[t]*g40[t] - 12166262004987838273500*Sqrt[15]*lu1^8*f22n[t]*g20[t]*g40[t] - 123065096432469591868260*Sqrt[15]*lu1^9*f22n[t]*g20[t]*g40[t] + 941939046921275196197040*Sqrt[15]*lu1^10*f22n[t]*g20[t]*g40[t] + 7012727650681702954945200*Sqrt[15]*lu1^11*f22n[t]*g20[t]*g40[t] + 6894285485402662820041920*Sqrt[15]*lu1^12*f22n[t]*g20[t]*g40[t] - 15306453949415085570859200*Sqrt[15]*lu1^13*f22n[t]*g20[t]*g40[t] - 31291980639906358995168000*Sqrt[15]*lu1^14*f22n[t]*g20[t]*g40[t] - 15330588701771269311840000*Sqrt[15]*lu1^15*f22n[t]*g20[t]*g40[t] + 2198173612635*Sqrt[5]*f42n[t]*g20[t]*g40[t] - 28822823011125*Sqrt[5]* lu1*f42n[t]*g20[t]*g40[t] - 8432391309472845*Sqrt[5]*lu1^2*f42n[t]* g20[t]*g40[t] + 41006646331980615*Sqrt[5]*lu1^3*f42n[t]*g20[t]* g40[t] + 9418900754934710325*Sqrt[5]*lu1^4*f42n[t]*g20[t]*g40[t] - 4189055340589048215*Sqrt[5]*lu1^5*f42n[t]*g20[t]*g40[t] - 3694540059672052972095*Sqrt[5]*lu1^6*f42n[t]*g20[t]*g40[t] - 3187678900270649042115*Sqrt[5]*lu1^7*f42n[t]*g20[t]*g40[t] + 518755997437287161589180*Sqrt[5]*lu1^8*f42n[t]*g20[t]*g40[t] + 1134658596380021144289000*Sqrt[5]*lu1^9*f42n[t]*g20[t]*g40[t] - 22055101668566887592992320*Sqrt[5]*lu1^10*f42n[t]*g20[t]*g40[t] - 62338469646937624961689440*Sqrt[5]*lu1^11*f42n[t]*g20[t]*g40[t] + 73244173435576375894833600*Sqrt[5]*lu1^12*f42n[t]*g20[t]*g40[t] + 341766457190153754629270400*Sqrt[5]*lu1^13*f42n[t]*g20[t]*g40[t] + 239386460832172390857120000*Sqrt[5]*lu1^14*f42n[t]*g20[t]*g40[t] - 4344328167431972559840000*Sqrt[5]*lu1^15*f42n[t]*g20[t]*g40[t] + 308996589915*Sqrt[210]*f44n[t]*g22[t]*g40[t] + 32493776963895*Sqrt[210]*lu1*f44n[t]*g22[t]*g40[t] - 2141326178915625*Sqrt[210]*lu1^2*f44n[t]*g22[t]*g40[t] - 82711410662776545*Sqrt[210]*lu1^3*f44n[t]*g22[t]*g40[t] + 2686890033296015625*Sqrt[210]*lu1^4*f44n[t]*g22[t]*g40[t] + 25668158297615557425*Sqrt[210]*lu1^5*f44n[t]*g22[t]*g40[t] - 690385563655727299035*Sqrt[210]*lu1^6*f44n[t]*g22[t]*g40[t] - 3542219179325766980235*Sqrt[210]*lu1^7*f44n[t]*g22[t]*g40[t] + 59644236743023816401960*Sqrt[210]*lu1^8*f44n[t]*g22[t]*g40[t] + 222443682380922610697700*Sqrt[210]*lu1^9*f44n[t]*g22[t]*g40[t] - 2081636670736560478337160*Sqrt[210]*lu1^10*f44n[t]*g22[t]*g40[t] - 11957716178611044270655200*Sqrt[210]*lu1^11*f44n[t]*g22[t]*g40[t] - 19873500972076601250448320*Sqrt[210]*lu1^12*f44n[t]*g22[t]*g40[t] - 31293638469644811000000*Sqrt[210]*lu1^13*f44n[t]*g22[t]*g40[t] + 27620768420560739341008000*Sqrt[210]*lu1^14*f44n[t]*g22[t]*g40[t] + 19558235187101057297760000*Sqrt[210]*lu1^15*f44n[t]*g22[t]*g40[t] - 255780676125*Sqrt[3]*f40[t]*g22n[t]*g40[t] - 3816722422305*Sqrt[3]* lu1*f40[t]*g22n[t]*g40[t] + 1301791100055615*Sqrt[3]*lu1^2*f40[t]* g22n[t]*g40[t] - 21884601432391425*Sqrt[3]*lu1^3*f40[t]*g22n[t]* g40[t] - 1294623627678243135*Sqrt[3]*lu1^4*f40[t]*g22n[t]*g40[t] + 76201447339168905585*Sqrt[3]*lu1^5*f40[t]*g22n[t]*g40[t] + 533320137517099717005*Sqrt[3]*lu1^6*f40[t]*g22n[t]*g40[t] - 12256056393730312854795*Sqrt[3]*lu1^7*f40[t]*g22n[t]*g40[t] - 208269097261255308447000*Sqrt[3]*lu1^8*f40[t]*g22n[t]*g40[t] - 566107024392616077898020*Sqrt[3]*lu1^9*f40[t]*g22n[t]*g40[t] + 8216964326896663304814120*Sqrt[3]*lu1^10*f40[t]*g22n[t]*g40[t] + 20539865919568636774704480*Sqrt[3]*lu1^11*f40[t]*g22n[t]*g40[t] - 4290439109568603591912000*Sqrt[3]*lu1^12*f40[t]*g22n[t]*g40[t] - 22699262273052926792712000*Sqrt[3]*lu1^13*f40[t]*g22n[t]*g40[t] - 20304829722235889572560000*Sqrt[3]*lu1^14*f40[t]*g22n[t]*g40[t] - 32391175772005511479200000*Sqrt[3]*lu1^15*f40[t]*g22n[t]*g40[t] - 308996589915*Sqrt[210]*f44[t]*g22n[t]*g40[t] - 32493776963895*Sqrt[210]*lu1*f44[t]*g22n[t]*g40[t] + 2141326178915625*Sqrt[210]*lu1^2*f44[t]*g22n[t]*g40[t] + 82711410662776545*Sqrt[210]*lu1^3*f44[t]*g22n[t]*g40[t] - 2686890033296015625*Sqrt[210]*lu1^4*f44[t]*g22n[t]*g40[t] - 25668158297615557425*Sqrt[210]*lu1^5*f44[t]*g22n[t]*g40[t] + 690385563655727299035*Sqrt[210]*lu1^6*f44[t]*g22n[t]*g40[t] + 3542219179325766980235*Sqrt[210]*lu1^7*f44[t]*g22n[t]*g40[t] - 59644236743023816401960*Sqrt[210]*lu1^8*f44[t]*g22n[t]*g40[t] - 222443682380922610697700*Sqrt[210]*lu1^9*f44[t]*g22n[t]*g40[t] + 2081636670736560478337160*Sqrt[210]*lu1^10*f44[t]*g22n[t]*g40[t] + 11957716178611044270655200*Sqrt[210]*lu1^11*f44[t]*g22n[t]*g40[t] + 19873500972076601250448320*Sqrt[210]*lu1^12*f44[t]*g22n[t]*g40[t] + 31293638469644811000000*Sqrt[210]*lu1^13*f44[t]*g22n[t]*g40[t] - 27620768420560739341008000*Sqrt[210]*lu1^14*f44[t]*g22n[t]*g40[t] - 19558235187101057297760000*Sqrt[210]*lu1^15*f44[t]*g22n[t]*g40[t] + 54628034175*Sqrt[3]*f22n[t]*g40[t]^2 - 12801754167345*Sqrt[3]*lu1* f22n[t]*g40[t]^2 + 205869431485575*Sqrt[3]*lu1^2*f22n[t]*g40[t]^2 + 35420102372275335*Sqrt[3]*lu1^3*f22n[t]*g40[t]^2 - 652800765932924895*Sqrt[3]*lu1^4*f22n[t]*g40[t]^2 - 22938617880446626215*Sqrt[3]*lu1^5*f22n[t]*g40[t]^2 + 296032548092613251205*Sqrt[3]*lu1^6*f22n[t]*g40[t]^2 + 3639874353877401965325*Sqrt[3]*lu1^7*f22n[t]*g40[t]^2 - 22675908892447305074580*Sqrt[3]*lu1^8*f22n[t]*g40[t]^2 - 163495529591361797054940*Sqrt[3]*lu1^9*f22n[t]*g40[t]^2 + 286986635668621720551720*Sqrt[3]*lu1^10*f22n[t]*g40[t]^2 + 3342202810213368176343840*Sqrt[3]*lu1^11*f22n[t]*g40[t]^2 + 2634263088096712652236800*Sqrt[3]*lu1^12*f22n[t]*g40[t]^2 - 14784747545283435181176000*Sqrt[3]*lu1^13*f22n[t]*g40[t]^2 - 25962486762935367524880000*Sqrt[3]*lu1^14*f22n[t]*g40[t]^2 - 9200583850318581520800000*Sqrt[3]*lu1^15*f22n[t]*g40[t]^2 + 3906975083895*f42n[t]*g40[t]^2 - 440832037415895*lu1*f42n[t]* g40[t]^2 + 4739034753681705*lu1^2*f42n[t]*g40[t]^2 + 481460700914053065*lu1^3*f42n[t]*g40[t]^2 - 6517345869907181685* lu1^4*f42n[t]*g40[t]^2 - 185589687361528611225*lu1^5*f42n[t]* g40[t]^2 + 1645324218747979808715*lu1^6*f42n[t]*g40[t]^2 + 33170812855907860982835*lu1^7*f42n[t]*g40[t]^2 - 79851944267754735956670*lu1^8*f42n[t]*g40[t]^2 - 2480698112018244325527420*lu1^9*f42n[t]*g40[t]^2 - 4587457485138765326129880*lu1^10*f42n[t]*g40[t]^2 + 56174513077297961636056560*lu1^11*f42n[t]*g40[t]^2 + 208307249930568516689340000*lu1^12*f42n[t]*g40[t]^2 + 148975124811761109070872000*lu1^13*f42n[t]*g40[t]^2 - 157067125396251286532400000*lu1^14*f42n[t]*g40[t]^2 - 148098520719150914404800000*lu1^15*f42n[t]*g40[t]^2 - 13313574099540*Sqrt[3]*f22n[t]*f42[t]*g42[t] + 2242513788877440*Sqrt[3]*lu1*f22n[t]*f42[t]*g42[t] - 7846448910201720*Sqrt[3]*lu1^2*f22n[t]*f42[t]*g42[t] - 6662912234221811880*Sqrt[3]*lu1^3*f22n[t]*f42[t]*g42[t] + 48082588676414304480*Sqrt[3]*lu1^4*f22n[t]*f42[t]*g42[t] + 4971560409171393318840*Sqrt[3]*lu1^5*f22n[t]*f42[t]*g42[t] + 13596100019752314213240*Sqrt[3]*lu1^6*f22n[t]*f42[t]*g42[t] - 383352210063013206233400*Sqrt[3]*lu1^7*f22n[t]*f42[t]*g42[t] - 2807623691018381593750860*Sqrt[3]*lu1^8*f22n[t]*f42[t]*g42[t] + 16939524962117601843091560*Sqrt[3]*lu1^9*f22n[t]*f42[t]*g42[t] + 39485375959517819627437440*Sqrt[3]*lu1^10*f22n[t]*f42[t]*g42[t] - 169658359016542083059062080*Sqrt[3]*lu1^11*f22n[t]*f42[t]*g42[t] + 254037395606095078868354880*Sqrt[3]*lu1^12*f22n[t]*f42[t]*g42[t] + 2324804155738175944119580800*Sqrt[3]*lu1^13*f22n[t]*f42[t]*g42[t] + 2522781989844773372194752000*Sqrt[3]*lu1^14*f22n[t]*f42[t]*g42[t] + 413341020630626936440320000*Sqrt[3]*lu1^15*f22n[t]*f42[t]*g42[t] - 303802122524112*f42[t]*f42n[t]*g42[t] + 40679937581081976*lu1*f42[t]* f42n[t]*g42[t] + 312194099954949408*lu1^2*f42[t]*f42n[t]*g42[t] - 88571049015487046688*lu1^3*f42[t]*f42n[t]*g42[t] - 676268910744254488656*lu1^4*f42[t]*f42n[t]*g42[t] + 30954403330724394654768*lu1^5*f42[t]*f42n[t]*g42[t] + 585386791704055385026416*lu1^6*f42[t]*f42n[t]*g42[t] - 4410083469066104886039648*lu1^7*f42[t]*f42n[t]*g42[t] - 60950341397428104819630816*lu1^8*f42[t]*f42n[t]*g42[t] + 290353250380122882767918808*lu1^9*f42[t]*f42n[t]*g42[t] + 1126009500210728041746918384*lu1^10*f42[t]*f42n[t]*g42[t] - 2152506357358401386576230272*lu1^11*f42[t]*f42n[t]*g42[t] - 8790398618684431839106555008*lu1^12*f42[t]*f42n[t]*g42[t] - 5392664116558710619574252160*lu1^13*f42[t]*f42n[t]*g42[t] + 2348468004992981333180947200*lu1^14*f42[t]*f42n[t]*g42[t] + 1428539293773690220080000000*lu1^15*f42[t]*f42n[t]*g42[t] - 16652860569144*Sqrt[70]*f40[t]*f44n[t]*g42[t] - 381935659824360*Sqrt[70]*lu1*f40[t]*f44n[t]*g42[t] + 62348523059184768*Sqrt[70]*lu1^2*f40[t]*f44n[t]*g42[t] + 1939946600978066736*Sqrt[70]*lu1^3*f40[t]*f44n[t]*g42[t] - 61957401830729587296*Sqrt[70]*lu1^4*f40[t]*f44n[t]*g42[t] - 919863884421589377888*Sqrt[70]*lu1^5*f40[t]*f44n[t]*g42[t] + 1701386072444047488912*Sqrt[70]*lu1^6*f40[t]*f44n[t]*g42[t] - 364393078441330251766320*Sqrt[70]*lu1^7*f40[t]*f44n[t]*g42[t] - 2258772045423310899785448*Sqrt[70]*lu1^8*f40[t]*f44n[t]*g42[t] + 15261480052801604141763528*Sqrt[70]*lu1^9*f40[t]*f44n[t]*g42[t] + 90979360099361831145613680*Sqrt[70]*lu1^10*f40[t]*f44n[t]*g42[t] + 71723836065255766964999424*Sqrt[70]*lu1^11*f40[t]*f44n[t]*g42[t] - 202586934739118205132317952*Sqrt[70]*lu1^12*f40[t]*f44n[t]*g42[t] - 264676050498775206874861440*Sqrt[70]*lu1^13*f40[t]*f44n[t]*g42[t] - 14227170249327061610707200*Sqrt[70]*lu1^14*f40[t]*f44n[t]*g42[t] + 2418344584047408401280000*Sqrt[70]*lu1^15*f40[t]*f44n[t]*g42[t] + 695795132565*Sqrt[14]*f44n[t]*g20[t]*g42[t] + 49077225771795*Sqrt[14]*lu1*f44n[t]*g20[t]*g42[t] - 4128432874797465*Sqrt[14]*lu1^2*f44n[t]*g20[t]*g42[t] - 125956045503651285*Sqrt[14]*lu1^3*f44n[t]*g20[t]*g42[t] + 5029598728270891125*Sqrt[14]*lu1^4*f44n[t]*g20[t]*g42[t] + 33976149926528995965*Sqrt[14]*lu1^5*f44n[t]*g20[t]*g42[t] - 1604083571485104492315*Sqrt[14]*lu1^6*f44n[t]*g20[t]*g42[t] - 6840240081874725548295*Sqrt[14]*lu1^7*f44n[t]*g20[t]*g42[t] + 214643878577601824717730*Sqrt[14]*lu1^8*f44n[t]*g20[t]*g42[t] + 1061195803961774030163900*Sqrt[14]*lu1^9*f44n[t]*g20[t]*g42[t] - 7056372100150232155721880*Sqrt[14]*lu1^10*f44n[t]*g20[t]*g42[t] - 30989227015602220831979760*Sqrt[14]*lu1^11*f44n[t]*g20[t]*g42[t] - 4544122721303763186994080*Sqrt[14]*lu1^12*f44n[t]*g20[t]*g42[t] + 95568380519202597435624000*Sqrt[14]*lu1^13*f44n[t]*g20[t]*g42[t] + 102022518747627377447184000*Sqrt[14]*lu1^14*f44n[t]*g20[t]*g42[t] + 15905944724810969424960000*Sqrt[14]*lu1^15*f44n[t]*g20[t]*g42[t] + 1408023383130*f22n[t]*g22[t]*g42[t] - 195870956733270*lu1*f22n[t]* g22[t]*g42[t] + 1529746205706810*lu1^2*f22n[t]*g22[t]*g42[t] + 446146190490537810*lu1^3*f22n[t]*g22[t]*g42[t] - 7653785889516030810*lu1^4*f22n[t]*g22[t]*g42[t] - 157670607335492304690*lu1^5*f22n[t]*g22[t]*g42[t] + 2470747249258882718670*lu1^6*f22n[t]*g22[t]*g42[t] + 21801306618155435342790*lu1^7*f22n[t]*g22[t]*g42[t] - 217315747965578113040280*lu1^8*f22n[t]*g22[t]*g42[t] - 1197934456613257431060720*lu1^9*f22n[t]*g22[t]*g42[t] + 3863726607875169506998800*lu1^10*f22n[t]*g22[t]*g42[t] + 14294181853335615227025120*lu1^11*f22n[t]*g22[t]*g42[t] + 59517181192988180517623040*lu1^12*f22n[t]*g22[t]*g42[t] + 227984180316934372950528000*lu1^13*f22n[t]*g22[t]*g42[t] + 310845934149766314245856000*lu1^14*f22n[t]*g22[t]*g42[t] + 125504184075945743577600000*lu1^15*f22n[t]*g22[t]*g42[t] + 2153305561680*Sqrt[3]*f42n[t]*g22[t]*g42[t] - 286161485730120* Sqrt[3]*lu1*f42n[t]*g22[t]*g42[t] - 422671783617720*Sqrt[3]*lu1^2* f42n[t]*g22[t]*g42[t] + 624023967112509600*Sqrt[3]*lu1^3*f42n[t]* g22[t]*g42[t] - 3094377233282538840*Sqrt[3]*lu1^4*f42n[t]*g22[t]* g42[t] - 117289572450250942560*Sqrt[3]*lu1^5*f42n[t]*g22[t]* g42[t] - 1073302512079432460280*Sqrt[3]*lu1^6*f42n[t]*g22[t]* g42[t] + 9742379780699717161920*Sqrt[3]*lu1^7*f42n[t]*g22[t]* g42[t] + 294926241741584815744200*Sqrt[3]*lu1^8*f42n[t]*g22[t]* g42[t] - 446291470813461946316280*Sqrt[3]*lu1^9*f42n[t]*g22[t]* g42[t] - 19198051425065047956679440*Sqrt[3]*lu1^10*f42n[t]*g22[t]* g42[t] - 4473222016736985358217280*Sqrt[3]*lu1^11*f42n[t]*g22[t]* g42[t] + 331680898819368465567083520*Sqrt[3]*lu1^12*f42n[t]*g22[t]* g42[t] + 734460572643506552046403200*Sqrt[3]*lu1^13*f42n[t]*g22[t]* g42[t] + 260516499511747907177568000*Sqrt[3]*lu1^14*f42n[t]*g22[t]* g42[t] - 242747348832983765272320000*Sqrt[3]*lu1^15*f42n[t]*g22[t]* g42[t] - 1616537095290*Sqrt[3]*f42[t]*g22n[t]*g42[t] + 244381968952290*Sqrt[3]*lu1*f42[t]*g22n[t]*g42[t] + 1203398758632330*Sqrt[3]*lu1^2*f42[t]*g22n[t]*g42[t] - 507160535368971510*Sqrt[3]*lu1^3*f42[t]*g22n[t]*g42[t] - 2070708402746076210*Sqrt[3]*lu1^4*f42[t]*g22n[t]*g42[t] - 11728154166904911450*Sqrt[3]*lu1^5*f42[t]*g22n[t]*g42[t] + 3299175268837408888590*Sqrt[3]*lu1^6*f42[t]*g22n[t]*g42[t] + 17951796209757231349710*Sqrt[3]*lu1^7*f42[t]*g22n[t]*g42[t] - 421801524534029173754220*Sqrt[3]*lu1^8*f42[t]*g22n[t]*g42[t] - 1120709558703197304241920*Sqrt[3]*lu1^9*f42[t]*g22n[t]*g42[t] + 16670406008016623472442560*Sqrt[3]*lu1^10*f42[t]*g22n[t]*g42[t] + 33360845804785694047775520*Sqrt[3]*lu1^11*f42[t]*g22n[t]*g42[t] - 197365108248742449916804800*Sqrt[3]*lu1^12*f42[t]*g22n[t]*g42[t] - 569822770941609358776595200*Sqrt[3]*lu1^13*f42[t]*g22n[t]*g42[t] - 296859414925191668344704000*Sqrt[3]*lu1^14*f42[t]*g22n[t]*g42[t] + 121169033780599862628480000*Sqrt[3]*lu1^15*f42[t]*g22n[t]*g42[t] + 288375731415*Sqrt[70]*f44n[t]*g40[t]*g42[t] + 690572865249*Sqrt[70]* lu1*f44n[t]*g40[t]*g42[t] - 520773728159439*Sqrt[70]*lu1^2*f44n[t]* g40[t]*g42[t] - 47289808315717119*Sqrt[70]*lu1^3*f44n[t]*g40[t]* g42[t] + 860867585619811443*Sqrt[70]*lu1^4*f44n[t]*g40[t]*g42[t] + 12703698238770041103*Sqrt[70]*lu1^5*f44n[t]*g40[t]*g42[t] - 127305366835028760765*Sqrt[70]*lu1^6*f44n[t]*g40[t]*g42[t] - 1282278256986325287717*Sqrt[70]*lu1^7*f44n[t]*g40[t]*g42[t] + 346990671854579449242*Sqrt[70]*lu1^8*f44n[t]*g40[t]*g42[t] + 15564816931169962398276*Sqrt[70]*lu1^9*f44n[t]*g40[t]*g42[t] + 100080437976306527321736*Sqrt[70]*lu1^10*f44n[t]*g40[t]*g42[t] + 217132272913146643640304*Sqrt[70]*lu1^11*f44n[t]*g40[t]*g42[t] + 2955954553725091204177632*Sqrt[70]*lu1^12*f44n[t]*g40[t]*g42[t] + 10511174913063987333435840*Sqrt[70]*lu1^13*f44n[t]*g40[t]*g42[t] + 7544906568042132205123200*Sqrt[70]*lu1^14*f44n[t]*g40[t]*g42[t] - 4278499128537540500160000*Sqrt[70]*lu1^15*f44n[t]*g40[t]*g42[t] + 793415103390*Sqrt[3]*f22n[t]*g42[t]^2 - 45918144917190*Sqrt[3]*lu1* f22n[t]*g42[t]^2 - 1577501798589990*Sqrt[3]*lu1^2*f22n[t]* g42[t]^2 + 90906059274218370*Sqrt[3]*lu1^3*f22n[t]*g42[t]^2 + 592880814480828510*Sqrt[3]*lu1^4*f22n[t]*g42[t]^2 - 16021566357517760130*Sqrt[3]*lu1^5*f22n[t]*g42[t]^2 - 431367135283664833890*Sqrt[3]*lu1^6*f22n[t]*g42[t]^2 + 1505101461264444648150*Sqrt[3]*lu1^7*f22n[t]*g42[t]^2 + 63632770160452187161740*Sqrt[3]*lu1^8*f22n[t]*g42[t]^2 - 61418518849105331375280*Sqrt[3]*lu1^9*f22n[t]*g42[t]^2 - 2771172540566100442873920*Sqrt[3]*lu1^10*f22n[t]*g42[t]^2 - 1627177854451806213604320*Sqrt[3]*lu1^11*f22n[t]*g42[t]^2 + 35027180619890022596410560*Sqrt[3]*lu1^12*f22n[t]*g42[t]^2 + 89391473991039153153292800*Sqrt[3]*lu1^13*f22n[t]*g42[t]^2 + 69012701569057921129728000*Sqrt[3]*lu1^14*f22n[t]*g42[t]^2 + 9521126153790928709760000*Sqrt[3]*lu1^15*f22n[t]*g42[t]^2 + 6217233058890*f42n[t]*g42[t]^2 - 990953884384002*lu1*f42n[t]* g42[t]^2 + 15908219563296942*lu1^2*f42n[t]*g42[t]^2 + 1388046549139338942*lu1^3*f42n[t]*g42[t]^2 - 19853832939370832934* lu1^4*f42n[t]*g42[t]^2 - 499456483462072217214*lu1^5*f42n[t]* g42[t]^2 + 2641067290114269810570*lu1^6*f42n[t]*g42[t]^2 + 77520119608646473219146*lu1^7*f42n[t]*g42[t]^2 + 353207703875370864213204*lu1^8*f42n[t]*g42[t]^2 - 3359450130259290374133288*lu1^9*f42n[t]*g42[t]^2 - 38263199217357701340433008*lu1^10*f42n[t]*g42[t]^2 + 37033149556179819998248608*lu1^11*f42n[t]*g42[t]^2 + 647309501198659876400478144*lu1^12*f42n[t]*g42[t]^2 + 1230560118573505030891843200*lu1^13*f42n[t]*g42[t]^2 + 620886437611798861875052800*lu1^14*f42n[t]*g42[t]^2 - 76756642959910435014528000*lu1^15*f42n[t]*g42[t]^2 + 37169856940320*f22n[t]^2*g42n[t] + 3268660940005500*lu1*f22n[t]^2* g42n[t] - 233444247650267940*lu1^2*f22n[t]^2*g42n[t] - 9596850700893980940*lu1^3*f22n[t]^2*g42n[t] + 283582672834376586060* lu1^4*f22n[t]^2*g42n[t] + 5137431811556288531820*lu1^5*f22n[t]^2* g42n[t] - 46391431275245491210620*lu1^6*f22n[t]^2*g42n[t] - 14898415612426818609540*lu1^7*f22n[t]^2*g42n[t] + 270099961506154811974020*lu1^8*f22n[t]^2*g42n[t] + 1362619703360954352392520*lu1^9*f22n[t]^2*g42n[t] - 34316979726193694104308240*lu1^10*f22n[t]^2*g42n[t] - 4335716654430143641719840*lu1^11*f22n[t]^2*g42n[t] + 795823388103258941929414080*lu1^12*f22n[t]^2*g42n[t] + 2357468737854065106585724800*lu1^13*f22n[t]^2*g42n[t] + 2433482875579875422363424000*lu1^14*f22n[t]^2*g42n[t] + 806590356104092982385600000*lu1^15*f22n[t]^2*g42n[t] + 71384225459670*f40[t]^2*g42n[t] + 9103066798910490*lu1*f40[t]^2* g42n[t] - 521939604928803930*lu1^2*f40[t]^2*g42n[t] - 21892818669086557170*lu1^3*f40[t]^2*g42n[t] + 377385638687037841410* lu1^4*f40[t]^2*g42n[t] + 18620688259343605427370*lu1^5*f40[t]^2* g42n[t] + 48250062768275345209290*lu1^6*f40[t]^2*g42n[t] - 3289296504264929056992870*lu1^7*f40[t]^2*g42n[t] - 26321460087376223051989440*lu1^8*f40[t]^2*g42n[t] + 70158509499004561921597620*lu1^9*f40[t]^2*g42n[t] + 882573891930680280915397560*lu1^10*f40[t]^2*g42n[t] + 1852552066801436618775033120*lu1^11*f40[t]^2*g42n[t] + 122624392850507551662809280*lu1^12*f40[t]^2*g42n[t] - 2869565760381117586443902400*lu1^13*f40[t]^2*g42n[t] - 2167866905144438827102032000*lu1^14*f40[t]^2*g42n[t] - 285681163431873434702400000*lu1^15*f40[t]^2*g42n[t] + 363507874066404*f42[t]^2*g42n[t] + 23685159978973908*lu1*f42[t]^2* g42n[t] - 1887850352296381716*lu1^2*f42[t]^2*g42n[t] - 63028758897365536404*lu1^3*f42[t]^2*g42n[t] + 1641538870506367711092* lu1^4*f42[t]^2*g42n[t] + 29164332815235913904964*lu1^5*f42[t]^2* g42n[t] - 127798721793212546622732*lu1^6*f42[t]^2*g42n[t] + 188984513324548361332836*lu1^7*f42[t]^2*g42n[t] + 1809977862462518594442072*lu1^8*f42[t]^2*g42n[t] - 129950969983023882362537256*lu1^9*f42[t]^2*g42n[t] + 66580759948456984847321712*lu1^10*f42[t]^2*g42n[t] + 2399319565783819959069223104*lu1^11*f42[t]^2*g42n[t] + 3864206594831884403571991296*lu1^12*f42[t]^2*g42n[t] - 1005454039110549844149502080*lu1^13*f42[t]^2*g42n[t] - 4105032552755773549919366400*lu1^14*f42[t]^2*g42n[t] - 1124658741081128693328000000*lu1^15*f42[t]^2*g42n[t] + 19411009497360*Sqrt[3]*f22n[t]*f42n[t]*g42n[t] + 3383333900004240*Sqrt[3]*lu1*f22n[t]*f42n[t]*g42n[t] - 154427830517497680*Sqrt[3]*lu1^2*f22n[t]*f42n[t]*g42n[t] - 9478587530675493360*Sqrt[3]*lu1^3*f22n[t]*f42n[t]*g42n[t] + 180411722399336759760*Sqrt[3]*lu1^4*f22n[t]*f42n[t]*g42n[t] + 4699293521817757752240*Sqrt[3]*lu1^5*f22n[t]*f42n[t]*g42n[t] - 15629950450849942187760*Sqrt[3]*lu1^6*f22n[t]*f42n[t]*g42n[t] - 396875558070642265002960*Sqrt[3]*lu1^7*f22n[t]*f42n[t]*g42n[t] - 1052154697338206784335520*Sqrt[3]*lu1^8*f22n[t]*f42n[t]*g42n[t] + 15005250720021428576411520*Sqrt[3]*lu1^9*f22n[t]*f42n[t]*g42n[t] + 31558137115898851867069440*Sqrt[3]*lu1^10*f22n[t]*f42n[t]*g42n[t] - 100676206956770952488167680*Sqrt[3]*lu1^11*f22n[t]*f42n[t]*g42n[t] - 212967654651509820443097600*Sqrt[3]*lu1^12*f22n[t]*f42n[t]*g42n[t] + 256055576733851477826048000*Sqrt[3]*lu1^13*f22n[t]*f42n[t]*g42n[t] + 664708171899143068569600000*Sqrt[3]*lu1^14*f22n[t]*f42n[t]*g42n[t] + 288913323650167577088000000*Sqrt[3]*lu1^15*f22n[t]*f42n[t]*g42n[t] + 59705751542292*f42n[t]^2*g42n[t] + 64365097560055884*lu1*f42n[t]^2* g42n[t] - 1575656252341432308*lu1^2*f42n[t]^2*g42n[t] - 151599807912852583092*lu1^3*f42n[t]^2*g42n[t] + 965269959762113222436*lu1^4*f42n[t]^2*g42n[t] + 60118736145960308559732*lu1^5*f42n[t]^2*g42n[t] + 457588069910842838403684*lu1^6*f42n[t]^2*g42n[t] - 4221098955741556524706812*lu1^7*f42n[t]^2*g42n[t] - 59140363534965586225188744*lu1^8*f42n[t]^2*g42n[t] + 160402280397099000405381552*lu1^9*f42n[t]^2*g42n[t] + 1192590260159185026594240096*lu1^10*f42n[t]^2*g42n[t] + 246813208425418572492992832*lu1^11*f42n[t]^2*g42n[t] - 4926192023852547435534563712*lu1^12*f42n[t]^2*g42n[t] - 6398118155669260463723754240*lu1^13*f42n[t]^2*g42n[t] - 1756564547762792216738419200*lu1^14*f42n[t]^2*g42n[t] + 303880552692561526752000000*lu1^15*f42n[t]^2*g42n[t] + 16652860569144*Sqrt[70]*f40[t]*f44[t]*g42n[t] + 381935659824360*Sqrt[70]*lu1*f40[t]*f44[t]*g42n[t] - 62348523059184768*Sqrt[70]*lu1^2*f40[t]*f44[t]*g42n[t] - 1939946600978066736*Sqrt[70]*lu1^3*f40[t]*f44[t]*g42n[t] + 61957401830729587296*Sqrt[70]*lu1^4*f40[t]*f44[t]*g42n[t] + 919863884421589377888*Sqrt[70]*lu1^5*f40[t]*f44[t]*g42n[t] - 1701386072444047488912*Sqrt[70]*lu1^6*f40[t]*f44[t]*g42n[t] + 364393078441330251766320*Sqrt[70]*lu1^7*f40[t]*f44[t]*g42n[t] + 2258772045423310899785448*Sqrt[70]*lu1^8*f40[t]*f44[t]*g42n[t] - 15261480052801604141763528*Sqrt[70]*lu1^9*f40[t]*f44[t]*g42n[t] - 90979360099361831145613680*Sqrt[70]*lu1^10*f40[t]*f44[t]*g42n[t] - 71723836065255766964999424*Sqrt[70]*lu1^11*f40[t]*f44[t]*g42n[t] + 202586934739118205132317952*Sqrt[70]*lu1^12*f40[t]*f44[t]*g42n[t] + 264676050498775206874861440*Sqrt[70]*lu1^13*f40[t]*f44[t]*g42n[t] + 14227170249327061610707200*Sqrt[70]*lu1^14*f40[t]*f44[t]*g42n[t] - 2418344584047408401280000*Sqrt[70]*lu1^15*f40[t]*f44[t]*g42n[t] + 294103690754076*f44[t]^2*g42n[t] + 29754689401236996*lu1*f44[t]^2* g42n[t] - 1629614844715661748*lu1^2*f44[t]^2*g42n[t] - 80300548238729377860*lu1^3*f44[t]^2*g42n[t] + 1226763902695170022596* lu1^4*f44[t]^2*g42n[t] + 35464493189305617339924*lu1^5*f44[t]^2* g42n[t] + 87251651510181771560052*lu1^6*f44[t]^2*g42n[t] - 1213428493219712762258028*lu1^7*f44[t]^2*g42n[t] - 22762085566767289214604720*lu1^8*f44[t]^2*g42n[t] - 54986522883454123725375528*lu1^9*f44[t]^2*g42n[t] + 597690652388865141063843984*lu1^10*f44[t]^2*g42n[t] + 2464564966961746876130164800*lu1^11*f44[t]^2*g42n[t] + 1964640402007215577523415936*lu1^12*f44[t]^2*g42n[t] - 2248697797491779097053412480*lu1^13*f44[t]^2*g42n[t] - 2895753638991901865513414400*lu1^14*f44[t]^2*g42n[t] - 459118560246910523890560000*lu1^15*f44[t]^2*g42n[t] + 294103690754076*f44n[t]^2*g42n[t] + 29754689401236996*lu1*f44n[t]^2* g42n[t] - 1629614844715661748*lu1^2*f44n[t]^2*g42n[t] - 80300548238729377860*lu1^3*f44n[t]^2*g42n[t] + 1226763902695170022596*lu1^4*f44n[t]^2*g42n[t] + 35464493189305617339924*lu1^5*f44n[t]^2*g42n[t] + 87251651510181771560052*lu1^6*f44n[t]^2*g42n[t] - 1213428493219712762258028*lu1^7*f44n[t]^2*g42n[t] - 22762085566767289214604720*lu1^8*f44n[t]^2*g42n[t] - 54986522883454123725375528*lu1^9*f44n[t]^2*g42n[t] + 597690652388865141063843984*lu1^10*f44n[t]^2*g42n[t] + 2464564966961746876130164800*lu1^11*f44n[t]^2*g42n[t] + 1964640402007215577523415936*lu1^12*f44n[t]^2*g42n[t] - 2248697797491779097053412480*lu1^13*f44n[t]^2*g42n[t] - 2895753638991901865513414400*lu1^14*f44n[t]^2*g42n[t] - 459118560246910523890560000*lu1^15*f44n[t]^2*g42n[t] + 179213623875*Sqrt[5]*f40[t]*g20[t]*g42n[t] + 63410320500813*Sqrt[5]* lu1*f40[t]*g20[t]*g42n[t] - 3397871848066839*Sqrt[5]*lu1^2*f40[t]* g20[t]*g42n[t] - 162061904483473995*Sqrt[5]*lu1^3*f40[t]*g20[t]* g42n[t] + 6455243625208829451*Sqrt[5]*lu1^4*f40[t]*g20[t]*g42n[t] + 86169048817635099459*Sqrt[5]*lu1^5*f40[t]*g20[t]*g42n[t] - 2509804322940130778133*Sqrt[5]*lu1^6*f40[t]*g20[t]*g42n[t] - 20060303337076760127513*Sqrt[5]*lu1^7*f40[t]*g20[t]*g42n[t] + 290029384313208067220550*Sqrt[5]*lu1^8*f40[t]*g20[t]*g42n[t] + 2153021503218650434650852*Sqrt[5]*lu1^9*f40[t]*g20[t]*g42n[t] - 5253537718487104599905352*Sqrt[5]*lu1^10*f40[t]*g20[t]*g42n[t] - 44283216069488749419834768*Sqrt[5]*lu1^11*f40[t]*g20[t]*g42n[t] - 66043664600863906815487200*Sqrt[5]*lu1^12*f40[t]*g20[t]*g42n[t] + 17989294886571260956017600*Sqrt[5]*lu1^13*f40[t]*g20[t]*g42n[t] + 118321350087416123439792000*Sqrt[5]*lu1^14*f40[t]*g20[t]*g42n[t] + 72600859636890214069440000*Sqrt[5]*lu1^15*f40[t]*g20[t]*g42n[t] - 695795132565*Sqrt[14]*f44[t]*g20[t]*g42n[t] - 49077225771795*Sqrt[14]*lu1*f44[t]*g20[t]*g42n[t] + 4128432874797465*Sqrt[14]*lu1^2*f44[t]*g20[t]*g42n[t] + 125956045503651285*Sqrt[14]*lu1^3*f44[t]*g20[t]*g42n[t] - 5029598728270891125*Sqrt[14]*lu1^4*f44[t]*g20[t]*g42n[t] - 33976149926528995965*Sqrt[14]*lu1^5*f44[t]*g20[t]*g42n[t] + 1604083571485104492315*Sqrt[14]*lu1^6*f44[t]*g20[t]*g42n[t] + 6840240081874725548295*Sqrt[14]*lu1^7*f44[t]*g20[t]*g42n[t] - 214643878577601824717730*Sqrt[14]*lu1^8*f44[t]*g20[t]*g42n[t] - 1061195803961774030163900*Sqrt[14]*lu1^9*f44[t]*g20[t]*g42n[t] + 7056372100150232155721880*Sqrt[14]*lu1^10*f44[t]*g20[t]*g42n[t] + 30989227015602220831979760*Sqrt[14]*lu1^11*f44[t]*g20[t]*g42n[t] + 4544122721303763186994080*Sqrt[14]*lu1^12*f44[t]*g20[t]*g42n[t] - 95568380519202597435624000*Sqrt[14]*lu1^13*f44[t]*g20[t]*g42n[t] - 102022518747627377447184000*Sqrt[14]*lu1^14*f44[t]*g20[t]*g42n[t] - 15905944724810969424960000*Sqrt[14]*lu1^15*f44[t]*g20[t]*g42n[t] - 2382878905290*Sqrt[3]*f42[t]*g22[t]*g42n[t] - 110004566264190* Sqrt[3]*lu1*f42[t]*g22[t]*g42n[t] + 11569568841283050*Sqrt[3]*lu1^2* f42[t]*g22[t]*g42n[t] + 286670601290400210*Sqrt[3]*lu1^3*f42[t]* g22[t]*g42n[t] - 11640195052886263890*Sqrt[3]*lu1^4*f42[t]*g22[t]* g42n[t] - 39070554985390435650*Sqrt[3]*lu1^5*f42[t]*g22[t]* g42n[t] + 3153516174568981536510*Sqrt[3]*lu1^6*f42[t]*g22[t]* g42n[t] + 3918540104953809878790*Sqrt[3]*lu1^7*f42[t]*g22[t]* g42n[t] - 441334287894497731141980*Sqrt[3]*lu1^8*f42[t]*g22[t]* g42n[t] - 1296658365206206705330680*Sqrt[3]*lu1^9*f42[t]*g22[t]* g42n[t] + 19411085075234083034490960*Sqrt[3]*lu1^10*f42[t]*g22[t]* g42n[t] + 63224003322121895061600480*Sqrt[3]*lu1^11*f42[t]*g22[t]* g42n[t] - 46619450734760146373632320*Sqrt[3]*lu1^12*f42[t]*g22[t]* g42n[t] - 308030805645137290107600000*Sqrt[3]*lu1^13*f42[t]*g22[t]* g42n[t] - 234337965399033599716704000*Sqrt[3]*lu1^14*f42[t]*g22[t]* g42n[t] + 15084221619799514931840000*Sqrt[3]*lu1^15*f42[t]*g22[t]* g42n[t] - 2244034095030*f22n[t]*g22n[t]*g42n[t] - 245011390667550*lu1*f22n[t]*g22n[t]*g42n[t] + 18862370784963810* lu1^2*f22n[t]*g22n[t]*g42n[t] + 638608835164169610*lu1^3*f22n[t]* g22n[t]*g42n[t] - 29897986046804302050*lu1^4*f22n[t]*g22n[t]* g42n[t] - 294671044727489947530*lu1^5*f22n[t]*g22n[t]*g42n[t] + 10853723056957599533910*lu1^6*f22n[t]*g22n[t]*g42n[t] + 40623465611843572341390*lu1^7*f22n[t]*g22n[t]*g42n[t] - 1141923056297176405056480*lu1^8*f22n[t]*g22n[t]*g42n[t] - 2144977807801217503311600*lu1^9*f22n[t]*g22n[t]*g42n[t] + 38326028358830103881895360*lu1^10*f22n[t]*g22n[t]*g42n[t] + 61384709554115184578814720*lu1^11*f22n[t]*g22n[t]*g42n[t] - 372264502910428998997570560*lu1^12*f22n[t]*g22n[t]*g42n[t] - 1185889158273603638356320000*lu1^13*f22n[t]*g22n[t]*g42n[t] - 1176204750585050831770944000*lu1^14*f22n[t]*g22n[t]*g42n[t] - 374333392702088260459200000*lu1^15*f22n[t]*g22n[t]*g42n[t] - 1846110438900*Sqrt[3]*f42n[t]*g22n[t]*g42n[t] - 151784083042020*Sqrt[3]*lu1*f42n[t]*g22n[t]*g42n[t] + 12350295816297660*Sqrt[3]*lu1^2*f42n[t]*g22n[t]*g42n[t] + 403534033033938300*Sqrt[3]*lu1^3*f42n[t]*g22n[t]*g42n[t] - 16805280688914878940*Sqrt[3]*lu1^4*f42n[t]*g22n[t]*g42n[t] - 168088281602546289660*Sqrt[3]*lu1^5*f42n[t]*g22n[t]*g42n[t] + 5379388931326957964820*Sqrt[3]*lu1^6*f42n[t]*g22n[t]*g42n[t] + 31612716095410758390420*Sqrt[3]*lu1^7*f42n[t]*g22n[t]*g42n[t] - 568209570686942089152000*Sqrt[3]*lu1^8*f42n[t]*g22n[t]*g42n[t] - 2863659394722865955888880*Sqrt[3]*lu1^9*f42n[t]*g22n[t]*g42n[t] + 16883439658185658550254080*Sqrt[3]*lu1^10*f42n[t]*g22n[t]*g42n[t] + 92111627110170603751158720*Sqrt[3]*lu1^11*f42n[t]*g22n[t]*g42n[t] + 87696339835865869276646400*Sqrt[3]*lu1^12*f42n[t]*g22n[t]*g42n[t] - 143393003943240096837792000*Sqrt[3]*lu1^13*f42n[t]*g22n[t]*g42n[t] - 270680880812477360883840000*Sqrt[3]*lu1^14*f42n[t]*g22n[t]*g42n[t] - 106494093432584387712000000*Sqrt[3]*lu1^15*f42n[t]*g22n[t]*g42n[t] + 3281022354015*f40[t]*g40[t]*g42n[t] - 374495699840535*lu1*f40[t]* g40[t]*g42n[t] + 11081084146129305*lu1^2*f40[t]*g40[t]*g42n[t] - 62932916654371575*lu1^3*f40[t]*g40[t]*g42n[t] - 9726607570365629685*lu1^4*f40[t]*g40[t]*g42n[t] + 78258462918427080135*lu1^5*f40[t]*g40[t]*g42n[t] + 4089550434714070180155*lu1^6*f40[t]*g40[t]*g42n[t] - 12302910349053097744845*lu1^7*f40[t]*g40[t]*g42n[t] - 675004252195298010450150*lu1^8*f40[t]*g40[t]*g42n[t] - 453613880253457374339420*lu1^9*f40[t]*g40[t]*g42n[t] + 30748862272185584265319560*lu1^10*f40[t]*g40[t]*g42n[t] + 34074429290078543836268400*lu1^11*f40[t]*g40[t]*g42n[t] - 278523001221487649412176160*lu1^12*f40[t]*g40[t]*g42n[t] - 658856297852989871269723200*lu1^13*f40[t]*g40[t]*g42n[t] - 419070836458828181635056000*lu1^14*f40[t]*g40[t]*g42n[t] - 44353330247376304862400000*lu1^15*f40[t]*g40[t]*g42n[t] - 288375731415*Sqrt[70]*f44[t]*g40[t]*g42n[t] - 690572865249*Sqrt[70]* lu1*f44[t]*g40[t]*g42n[t] + 520773728159439*Sqrt[70]*lu1^2*f44[t]* g40[t]*g42n[t] + 47289808315717119*Sqrt[70]*lu1^3*f44[t]*g40[t]* g42n[t] - 860867585619811443*Sqrt[70]*lu1^4*f44[t]*g40[t]*g42n[t] - 12703698238770041103*Sqrt[70]*lu1^5*f44[t]*g40[t]*g42n[t] + 127305366835028760765*Sqrt[70]*lu1^6*f44[t]*g40[t]*g42n[t] + 1282278256986325287717*Sqrt[70]*lu1^7*f44[t]*g40[t]*g42n[t] - 346990671854579449242*Sqrt[70]*lu1^8*f44[t]*g40[t]*g42n[t] - 15564816931169962398276*Sqrt[70]*lu1^9*f44[t]*g40[t]*g42n[t] - 100080437976306527321736*Sqrt[70]*lu1^10*f44[t]*g40[t]*g42n[t] - 217132272913146643640304*Sqrt[70]*lu1^11*f44[t]*g40[t]*g42n[t] - 2955954553725091204177632*Sqrt[70]*lu1^12*f44[t]*g40[t]*g42n[t] - 10511174913063987333435840*Sqrt[70]*lu1^13*f44[t]*g40[t]*g42n[t] - 7544906568042132205123200*Sqrt[70]*lu1^14*f44[t]*g40[t]*g42n[t] + 4278499128537540500160000*Sqrt[70]*lu1^15*f44[t]*g40[t]*g42n[t] - 4514951821950*f42[t]*g42[t]*g42n[t] - 570420741491802*lu1*f42[t]* g42[t]*g42n[t] + 39057606064857942*lu1^2*f42[t]*g42[t]*g42n[t] + 1154030473972441062*lu1^3*f42[t]*g42[t]*g42n[t] - 48686316401940561774*lu1^4*f42[t]*g42[t]*g42n[t] - 349637031860173547814*lu1^5*f42[t]*g42[t]*g42n[t] + 14874371916318650508930*lu1^6*f42[t]*g42[t]*g42n[t] + 45183501525648356301186*lu1^7*f42[t]*g42[t]*g42n[t] - 1675275580658406179505276*lu1^8*f42[t]*g42[t]*g42n[t] - 2953680032933051238876168*lu1^9*f42[t]*g42[t]*g42n[t] + 70066552334288399193244752*lu1^10*f42[t]*g42[t]*g42n[t] + 91613366917118740278800928*lu1^11*f42[t]*g42[t]*g42n[t] - 753944325804002855265005376*lu1^12*f42[t]*g42[t]*g42n[t] - 2053480174336237935682823040*lu1^13*f42[t]*g42[t]*g42n[t] - 1594131079422725162889696000*lu1^14*f42[t]*g42[t]*g42n[t] - 258677393101615414346112000*lu1^15*f42[t]*g42[t]*g42n[t] - 26244656100*Sqrt[3]*f22n[t]*g42n[t]^2 - 24795086464980*Sqrt[3]*lu1* f22n[t]*g42n[t]^2 + 1076618838753900*Sqrt[3]*lu1^2*f22n[t]* g42n[t]^2 + 58659807832355340*Sqrt[3]*lu1^3*f22n[t]*g42n[t]^2 - 2017555086224122380*Sqrt[3]*lu1^4*f22n[t]*g42n[t]^2 - 20764435251018714060*Sqrt[3]*lu1^5*f22n[t]*g42n[t]^2 + 686016421484660150820*Sqrt[3]*lu1^6*f22n[t]*g42n[t]^2 + 2584525639738218130500*Sqrt[3]*lu1^7*f22n[t]*g42n[t]^2 - 72010886153669170300320*Sqrt[3]*lu1^8*f22n[t]*g42n[t]^2 - 136998392403249981717360*Sqrt[3]*lu1^9*f22n[t]*g42n[t]^2 + 2575166071499745000775680*Sqrt[3]*lu1^10*f22n[t]*g42n[t]^2 + 4528044930621995434541760*Sqrt[3]*lu1^11*f22n[t]*g42n[t]^2 - 24411746170875127858060800*Sqrt[3]*lu1^12*f22n[t]*g42n[t]^2 - 80595978860881740356256000*Sqrt[3]*lu1^13*f22n[t]*g42n[t]^2 - 81197852866585977674880000*Sqrt[3]*lu1^14*f22n[t]*g42n[t]^2 - 26092158945088782873600000*Sqrt[3]*lu1^15*f22n[t]*g42n[t]^2 + 1702281236940*f42n[t]*g42n[t]^2 - 1561374625875804*lu1*f42n[t]* g42n[t]^2 + 54965825628154884*lu1^2*f42n[t]*g42n[t]^2 + 2542077023111780004*lu1^3*f42n[t]*g42n[t]^2 - 68540149341311394708* lu1^4*f42n[t]*g42n[t]^2 - 849093515322245765028*lu1^5*f42n[t]* g42n[t]^2 + 17515439206432920319500*lu1^6*f42n[t]*g42n[t]^2 + 122703621134294829520332*lu1^7*f42n[t]*g42n[t]^2 - 1322067876783035315292072*lu1^8*f42n[t]*g42n[t]^2 - 6313130163192341613009456*lu1^9*f42n[t]*g42n[t]^2 + 31803353116930697852811744*lu1^10*f42n[t]*g42n[t]^2 + 128646516473298560277049536*lu1^11*f42n[t]*g42n[t]^2 - 106634824605342978864527232*lu1^12*f42n[t]*g42n[t]^2 - 822920055762732904790979840*lu1^13*f42n[t]*g42n[t]^2 - 973244641810926301014643200*lu1^14*f42n[t]*g42n[t]^2 - 335434036061525849360640000*lu1^15*f42n[t]*g42n[t]^2 + 2210*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]^2* (2145*Sqrt[3]*(976293 - 83881062*lu1 + 878227839*lu1^2 + 57909811812*lu1^3 - 924487206737*lu1^4 - 6214858033574*lu1^5 + 107757495234481*lu1^6 + 181148021822648*lu1^7 - 2310070791837076*lu1^8 - 1428252123465904*lu1^9 + 27014578479138160*lu1^10 + 66346845583648000*lu1^11 + 56674765323304000*lu1^12 + 16268547519840000*lu1^13)*f22n[t] - 2*((5846628681 - 159991913826*lu1 + 3638887481169*lu1^2 - 276186238918734*lu1^3 + 2545523692434879*lu1^4 + 60077146818530978*lu1^5 - 643901548142663037*lu1^6 - 1985808892587859882*lu1^7 + 20770405271926221092*lu1^8 - 33394971554137781512*lu1^9 - 350446855717835388928*lu1^10 - 503662884437401308480*lu1^11 - 188107755645053958400*lu1^12 + 11568958668718080000*lu1^13)*f42n[t] + 143*Sqrt[3]* (143127 - 82855467*lu1 + 1908032571*lu1^2 + 58801317561*lu1^3 - 1153071267507*lu1^4 - 4736940675961*lu1^5 + 101379190546761* lu1^6 - 138529952995933*lu1^7 - 3273837158689528*lu1^8 - 13703224767923944*lu1^9 + 41807525864167760*lu1^10 + 121596281402742000*lu1^11 + 68781162966464000*lu1^12 + 5718206487840000*lu1^13)*g22n[t] + 3*(375475824 + 18533993481* lu1 - 904936937526*lu1^2 - 1139505642975*lu1^3 + 155054631591430*lu1^4 - 1610974208608521*lu1^5 - 4659263899541018*lu1^6 + 95294879690200963*lu1^7 + 105030377926542130*lu1^8 - 1509090601793558660*lu1^9 - 3562355788287573528*lu1^10 - 1573900002640126880*lu1^11 + 1588997000664513600*lu1^12 + 1062054895345920000*lu1^13)* g42n[t])) + 1105*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]^2* (2145*Sqrt[3]*(976293 - 83881062*lu1 + 878227839*lu1^2 + 57909811812*lu1^3 - 924487206737*lu1^4 - 6214858033574*lu1^5 + 107757495234481*lu1^6 + 181148021822648*lu1^7 - 2310070791837076*lu1^8 - 1428252123465904*lu1^9 + 27014578479138160*lu1^10 + 66346845583648000*lu1^11 + 56674765323304000*lu1^12 + 16268547519840000*lu1^13)*f22n[t] - 2*(9*(1336349907 - 83310441696*lu1 + 1426270201107*lu1^2 - 1737262664420*lu1^3 - 143787729463131*lu1^4 + 1452857474896992* lu1^5 - 40087424090104711*lu1^6 + 176761111878341332*lu1^7 + 4452673345619548364*lu1^8 + 824539198455646160*lu1^9 - 41810285694784959248*lu1^10 - 66167864234095547200*lu1^11 - 22809021746656318400*lu1^12 + 2885384917246944000*lu1^13)* f42n[t] + 572*Sqrt[3]*(204849 - 21956589*lu1 + 208536552* lu1^2 + 21424527027*lu1^3 - 259268511594*lu1^4 - 6328145234507*lu1^5 + 48645326654712*lu1^6 + 679236707270329* lu1^7 - 501120823573871*lu1^8 - 4116489625884548*lu1^9 + 510431552200120*lu1^10 + 35026293380010000*lu1^11 + 58822569370618000*lu1^12 + 24876872854680000*lu1^13)*g22n[t] - 3*(-248350860 - 35410481883*lu1 + 1159743958596*lu1^2 + 6472696019337*lu1^3 - 247388140866036*lu1^4 + 603799133640427* lu1^5 + 13628261134716084*lu1^6 - 45497885866444733*lu1^7 - 385969299387491576*lu1^8 + 201798063208733908*lu1^9 + 5313072670622179264*lu1^10 + 11347469458726526160*lu1^11 + 8782304037385763200*lu1^12 + 2255567423566296000*lu1^13)* g42n[t])) + 2411996134860*Sqrt[210]*f22n[t]*f40[t]*g44[t] + 334224940154508*Sqrt[210]*lu1*f22n[t]*f40[t]*g44[t] - 17675861335802280*Sqrt[210]*lu1^2*f22n[t]*f40[t]*g44[t] - 899265084088886424*Sqrt[210]*lu1^3*f22n[t]*f40[t]*g44[t] + 21199094188294070568*Sqrt[210]*lu1^4*f22n[t]*f40[t]*g44[t] + 378367599120721828176*Sqrt[210]*lu1^5*f22n[t]*f40[t]*g44[t] - 4127925205615004509872*Sqrt[210]*lu1^6*f22n[t]*f40[t]*g44[t] - 59468501100133121809800*Sqrt[210]*lu1^7*f22n[t]*f40[t]*g44[t] + 106545385577114373258252*Sqrt[210]*lu1^8*f22n[t]*f40[t]*g44[t] + 2617392751612868441720196*Sqrt[210]*lu1^9*f22n[t]*f40[t]*g44[t] + 2739088118770408908042072*Sqrt[210]*lu1^10*f22n[t]*f40[t]*g44[t] - 27506222605994723787271296*Sqrt[210]*lu1^11*f22n[t]*f40[t]*g44[t] - 87495259168678803652728960*Sqrt[210]*lu1^12*f22n[t]*f40[t]*g44[t] - 76742322392817110376484800*Sqrt[210]*lu1^13*f22n[t]*f40[t]*g44[t] + 23743814019464790027504000*Sqrt[210]*lu1^14*f22n[t]*f40[t]*g44[t] + 42954841925496061928640000*Sqrt[210]*lu1^15*f22n[t]*f40[t]*g44[t] + 2738837093220*Sqrt[70]*f40[t]*f42n[t]*g44[t] + 820096340441004*Sqrt[70]*lu1*f40[t]*f42n[t]*g44[t] - 12048106164753024*Sqrt[70]*lu1^2*f40[t]*f42n[t]*g44[t] - 2089559608754728824*Sqrt[70]*lu1^3*f40[t]*f42n[t]*g44[t] + 1653594865226003088*Sqrt[70]*lu1^4*f40[t]*f42n[t]*g44[t] - 798989232669367089312*Sqrt[70]*lu1^5*f40[t]*f42n[t]*g44[t] + 302658484833196505640*Sqrt[70]*lu1^6*f40[t]*f42n[t]*g44[t] + 252463931881911578635128*Sqrt[70]*lu1^7*f40[t]*f42n[t]*g44[t] + 1248422463270082214776332*Sqrt[70]*lu1^8*f40[t]*f42n[t]*g44[t] - 7817439515086076612091084*Sqrt[70]*lu1^9*f40[t]*f42n[t]*g44[t] - 46900796007235186784292264*Sqrt[70]*lu1^10*f40[t]*f42n[t]*g44[t] - 66990409577742256594678656*Sqrt[70]*lu1^11*f40[t]*f42n[t]*g44[t] + 21914446395562528427574912*Sqrt[70]*lu1^12*f40[t]*f42n[t]*g44[t] + 145263376838697302383007040*Sqrt[70]*lu1^13*f40[t]*f42n[t]*g44[t] + 125216961512679125332387200*Sqrt[70]*lu1^14*f40[t]*f42n[t]*g44[t] + 12185465021861000667840000*Sqrt[70]*lu1^15*f40[t]*f42n[t]*g44[t] - 25456888941120*Sqrt[3]*f22n[t]*f44[t]*g44[t] - 8336136546508680*Sqrt[3]*lu1*f22n[t]*f44[t]*g44[t] + 301683507904789920*Sqrt[3]*lu1^2*f22n[t]*f44[t]*g44[t] + 23314367874701685600*Sqrt[3]*lu1^3*f22n[t]*f44[t]*g44[t] - 386784141924725454000*Sqrt[3]*lu1^4*f22n[t]*f44[t]*g44[t] - 12360079539478300528080*Sqrt[3]*lu1^5*f22n[t]*f44[t]*g44[t] + 25633826500727323198320*Sqrt[3]*lu1^6*f22n[t]*f44[t]*g44[t] + 1102161977770908728462880*Sqrt[3]*lu1^7*f22n[t]*f44[t]*g44[t] + 3623685698006414784198000*Sqrt[3]*lu1^8*f22n[t]*f44[t]*g44[t] - 43570635422944354479791400*Sqrt[3]*lu1^9*f22n[t]*f44[t]*g44[t] - 83111002575487914027371280*Sqrt[3]*lu1^10*f22n[t]*f44[t]*g44[t] + 316121287962245510507468160*Sqrt[3]*lu1^11*f22n[t]*f44[t]*g44[t] + 174742567701426928535230080*Sqrt[3]*lu1^12*f22n[t]*f44[t]*g44[t] - 2165446411491837724615747200*Sqrt[3]*lu1^13*f22n[t]*f44[t]*g44[t] - 3058724075309005021140768000*Sqrt[3]*lu1^14*f22n[t]*f44[t]*g44[t] - 907169732354431215895680000*Sqrt[3]*lu1^15*f22n[t]*f44[t]*g44[t] - 197513714619144*f42n[t]*f44[t]*g44[t] + 37980622059996168*lu1* f42n[t]*f44[t]*g44[t] - 90115966606921920*lu1^2*f42n[t]*f44[t]* g44[t] - 81497702704935745872*lu1^3*f42n[t]*f44[t]*g44[t] - 152719623664420811040*lu1^4*f42n[t]*f44[t]*g44[t] + 23524051988459449885248*lu1^5*f42n[t]*f44[t]*g44[t] + 368509636562698309380912*lu1^6*f42n[t]*f44[t]*g44[t] - 1558802225513254747387824*lu1^7*f42n[t]*f44[t]*g44[t] - 28452249681592504795020504*lu1^8*f42n[t]*f44[t]*g44[t] + 163894871475596861854180920*lu1^9*f42n[t]*f44[t]*g44[t] + 286931354247266211006732432*lu1^10*f42n[t]*f44[t]*g44[t] - 2560592850570895437227766528*lu1^11*f42n[t]*f44[t]*g44[t] - 6480139379976024243078866688*lu1^12*f42n[t]*f44[t]*g44[t] - 3224082351217198347268882560*lu1^13*f42n[t]*f44[t]*g44[t] + 1580290913353585169234131200*lu1^14*f42n[t]*f44[t]*g44[t] + 799586755372263038866560000*lu1^15*f42n[t]*f44[t]*g44[t] - 36625635794664*f42[t]*f44n[t]*g44[t] + 5900118931456344*lu1*f42[t]* f44n[t]*g44[t] + 154228033888496064*lu1^2*f42[t]*f44n[t]*g44[t] - 26381475924665290128*lu1^3*f42[t]*f44n[t]*g44[t] - 352631462782453380288*lu1^4*f42[t]*f44n[t]*g44[t] + 29014443127098282238560*lu1^5*f42[t]*f44n[t]*g44[t] + 413059528532460029390352*lu1^6*f42[t]*f44n[t]*g44[t] - 2750939280219544790915952*lu1^7*f42[t]*f44n[t]*g44[t] - 45222738412134060187275096*lu1^8*f42[t]*f44n[t]*g44[t] + 116434701614368885743914184*lu1^9*f42[t]*f44n[t]*g44[t] + 865927258834587113490114096*lu1^10*f42[t]*f44n[t]*g44[t] + 315924755714886606474912768*lu1^11*f42[t]*f44n[t]*g44[t] - 2426800633552767333217789440*lu1^12*f42[t]*f44n[t]*g44[t] - 2015397383610826277816342400*lu1^13*f42[t]*f44n[t]*g44[t] + 1113249625711996441263840000*lu1^14*f42[t]*f44n[t]*g44[t] + 1173631668081632397429120000*lu1^15*f42[t]*f44n[t]*g44[t] + 61880355810*Sqrt[42]*f22n[t]*g20[t]*g44[t] + 52433998110*Sqrt[42]* lu1*f22n[t]*g20[t]*g44[t] - 305816998721130*Sqrt[42]*lu1^2*f22n[t]* g20[t]*g44[t] + 269134742346210*Sqrt[42]*lu1^3*f22n[t]*g20[t]* g44[t] + 434313926387374410*Sqrt[42]*lu1^4*f22n[t]*g20[t]*g44[t] - 1671518455399189410*Sqrt[42]*lu1^5*f22n[t]*g20[t]*g44[t] - 207788016763265763630*Sqrt[42]*lu1^6*f22n[t]*g20[t]*g44[t] + 472435716227614342710*Sqrt[42]*lu1^7*f22n[t]*g20[t]*g44[t] + 39050487199443096272220*Sqrt[42]*lu1^8*f22n[t]*g20[t]*g44[t] - 3807899415397204304580*Sqrt[42]*lu1^9*f22n[t]*g20[t]*g44[t] - 2391664747910087700064560*Sqrt[42]*lu1^10*f22n[t]*g20[t]*g44[t] - 2153608844131669226749200*Sqrt[42]*lu1^11*f22n[t]*g20[t]*g44[t] + 28171399288293746796267840*Sqrt[42]*lu1^12*f22n[t]*g20[t]*g44[t] + 72779105403545712322132800*Sqrt[42]*lu1^13*f22n[t]*g20[t]*g44[t] + 59341635085485012318240000*Sqrt[42]*lu1^14*f22n[t]*g20[t]*g44[t] + 13611192073742174052960000*Sqrt[42]*lu1^15*f22n[t]*g20[t]*g44[t] - 43097463045*Sqrt[14]*f42n[t]*g20[t]*g44[t] - 68817384715365*Sqrt[14]* lu1*f42n[t]*g20[t]*g44[t] + 2280078940264515*Sqrt[14]*lu1^2*f42n[t]* g20[t]*g44[t] + 153042859764015975*Sqrt[14]*lu1^3*f42n[t]*g20[t]* g44[t] - 3459464758288283355*Sqrt[14]*lu1^4*f42n[t]*g20[t]*g44[t] - 22712816067203695095*Sqrt[14]*lu1^5*f42n[t]*g20[t]*g44[t] + 713521728544506247665*Sqrt[14]*lu1^6*f42n[t]*g20[t]*g44[t] + 1888799799627677470365*Sqrt[14]*lu1^7*f42n[t]*g20[t]*g44[t] - 68583685097282793714900*Sqrt[14]*lu1^8*f42n[t]*g20[t]*g44[t] - 372551308413331423039560*Sqrt[14]*lu1^9*f42n[t]*g20[t]*g44[t] + 1345934836572047642269440*Sqrt[14]*lu1^10*f42n[t]*g20[t]*g44[t] + 16353067545208344293871840*Sqrt[14]*lu1^11*f42n[t]*g20[t]*g44[t] + 70768085534896711906825920*Sqrt[14]*lu1^12*f42n[t]*g20[t]*g44[t] + 111275919613499799881923200*Sqrt[14]*lu1^13*f42n[t]*g20[t]*g44[t] + 9390370921508678538528000*Sqrt[14]*lu1^14*f42n[t]*g20[t]*g44[t] - 68332999545583038695520000*Sqrt[14]*lu1^15*f42n[t]*g20[t]*g44[t] - 3230789127930*Sqrt[3]*f44n[t]*g22[t]*g44[t] + 136676601578790* Sqrt[3]*lu1*f44n[t]*g22[t]*g44[t] + 8295532755834870*Sqrt[3]*lu1^2* f44n[t]*g22[t]*g44[t] - 283179737301380010*Sqrt[3]*lu1^3*f44n[t]* g22[t]*g44[t] - 5405549879638509510*Sqrt[3]*lu1^4*f44n[t]*g22[t]* g44[t] + 100745685183511108650*Sqrt[3]*lu1^5*f44n[t]*g22[t]* g44[t] + 2445695000767217507490*Sqrt[3]*lu1^6*f44n[t]*g22[t]* g44[t] - 15726720240240003438990*Sqrt[3]*lu1^7*f44n[t]*g22[t]* g44[t] - 444140142675444484880520*Sqrt[3]*lu1^8*f44n[t]*g22[t]* g44[t] + 526922096704140455234280*Sqrt[3]*lu1^9*f44n[t]*g22[t]* g44[t] + 27188261973142761964265520*Sqrt[3]*lu1^10*f44n[t]*g22[t]* g44[t] + 38424906398071127343601920*Sqrt[3]*lu1^11*f44n[t]*g22[t]* g44[t] - 245852423926942714501052160*Sqrt[3]*lu1^12*f44n[t]*g22[t]* g44[t] - 628802778023239047518908800*Sqrt[3]*lu1^13*f44n[t]*g22[t]* g44[t] - 272028685572509394922848000*Sqrt[3]*lu1^14*f44n[t]*g22[t]* g44[t] + 152977460811239141663040000*Sqrt[3]*lu1^15*f44n[t]*g22[t]* g44[t] - 81286203375*Sqrt[210]*f40[t]*g22n[t]*g44[t] - 44575941058623*Sqrt[210]*lu1*f40[t]*g22n[t]*g44[t] + 1610298591103449*Sqrt[210]*lu1^2*f40[t]*g22n[t]*g44[t] + 112041700088624865*Sqrt[210]*lu1^3*f40[t]*g22n[t]*g44[t] - 2454636173338803441*Sqrt[210]*lu1^4*f40[t]*g22n[t]*g44[t] - 42605064633873798849*Sqrt[210]*lu1^5*f40[t]*g22n[t]*g44[t] + 641356581357173307483*Sqrt[210]*lu1^6*f40[t]*g22n[t]*g44[t] + 7179563299167960174123*Sqrt[210]*lu1^7*f40[t]*g22n[t]*g44[t] - 45866500135730472507660*Sqrt[210]*lu1^8*f40[t]*g22n[t]*g44[t] - 506944916112101260278732*Sqrt[210]*lu1^9*f40[t]*g22n[t]*g44[t] + 233115556319627398398072*Sqrt[210]*lu1^10*f40[t]*g22n[t]*g44[t] + 11387867160768544436697408*Sqrt[210]*lu1^11*f40[t]*g22n[t]*g44[t] + 32050813509217823582196480*Sqrt[210]*lu1^12*f40[t]*g22n[t]*g44[t] + 19520104000282994203617600*Sqrt[210]*lu1^13*f40[t]*g22n[t]*g44[t] - 26012064907957370769072000*Sqrt[210]*lu1^14*f40[t]*g22n[t]*g44[t] - 23644590684359410190880000*Sqrt[210]*lu1^15*f40[t]*g22n[t]*g44[t] + 4940432725410*Sqrt[3]*f44[t]*g22n[t]*g44[t] + 143191335064050* Sqrt[3]*lu1*f44[t]*g22n[t]*g44[t] - 26370718205053950*Sqrt[3]*lu1^2* f44[t]*g22n[t]*g44[t] - 454371308200301310*Sqrt[3]*lu1^3*f44[t]* g22n[t]*g44[t] + 35854116064779304110*Sqrt[3]*lu1^4*f44[t]*g22n[t]* g44[t] + 293194367756916583230*Sqrt[3]*lu1^5*f44[t]*g22n[t]* g44[t] - 13313774800223588333370*Sqrt[3]*lu1^6*f44[t]*g22n[t]* g44[t] - 67022592068172795777450*Sqrt[3]*lu1^7*f44[t]*g22n[t]* g44[t] + 1556466222570740499771480*Sqrt[3]*lu1^8*f44[t]*g22n[t]* g44[t] + 6851863178176274166537720*Sqrt[3]*lu1^9*f44[t]*g22n[t]* g44[t] - 50358459539646841618679280*Sqrt[3]*lu1^10*f44[t]*g22n[t]* g44[t] - 220157062036577428050637440*Sqrt[3]*lu1^11*f44[t]*g22n[t]* g44[t] - 40955648099524369547481600*Sqrt[3]*lu1^12*f44[t]*g22n[t]* g44[t] + 681800696696255050721788800*Sqrt[3]*lu1^13*f44[t]*g22n[t]* g44[t] + 752804591389906427045856000*Sqrt[3]*lu1^14*f44[t]*g22n[t]* g44[t] + 153802948192772541324480000*Sqrt[3]*lu1^15*f44[t]*g22n[t]* g44[t] - 106617102930*Sqrt[210]*f22n[t]*g40[t]*g44[t] - 887145312222*Sqrt[210]*lu1*f22n[t]*g40[t]*g44[t] + 497551913830530*Sqrt[210]*lu1^2*f22n[t]*g40[t]*g44[t] + 3155688936356346*Sqrt[210]*lu1^3*f22n[t]*g40[t]*g44[t] - 622340538628946202*Sqrt[210]*lu1^4*f22n[t]*g40[t]*g44[t] - 1063327865202642234*Sqrt[210]*lu1^5*f22n[t]*g40[t]*g44[t] + 223973813643273787158*Sqrt[210]*lu1^6*f22n[t]*g40[t]*g44[t] + 47186276860707399870*Sqrt[210]*lu1^7*f22n[t]*g40[t]*g44[t] - 27042663821504889993708*Sqrt[210]*lu1^8*f22n[t]*g40[t]*g44[t] - 9775979001607304276544*Sqrt[210]*lu1^9*f22n[t]*g40[t]*g44[t] + 1115276904221726743590912*Sqrt[210]*lu1^10*f22n[t]*g40[t]*g44[t] + 1095976461108489270564384*Sqrt[210]*lu1^11*f22n[t]*g40[t]*g44[t] - 12497471119274460712685760*Sqrt[210]*lu1^12*f22n[t]*g40[t]*g44[t] - 34169312722358986436908800*Sqrt[210]*lu1^13*f22n[t]*g40[t]*g44[t] - 30118475705346585123840000*Sqrt[210]*lu1^14*f22n[t]*g40[t]*g44[t] - 8119629869838616321920000*Sqrt[210]*lu1^15*f22n[t]*g40[t]*g44[t] - 199190188530*Sqrt[70]*f42n[t]*g40[t]*g44[t] + 5622830340930*Sqrt[70]* lu1*f42n[t]*g40[t]*g44[t] + 386549757672930*Sqrt[70]*lu1^2*f42n[t]* g40[t]*g44[t] + 9809452017081090*Sqrt[70]*lu1^3*f42n[t]*g40[t]* g44[t] - 485544979419506010*Sqrt[70]*lu1^4*f42n[t]*g40[t]*g44[t] - 13435321875687022050*Sqrt[70]*lu1^5*f42n[t]*g40[t]*g44[t] + 115533545891706989190*Sqrt[70]*lu1^6*f42n[t]*g40[t]*g44[t] + 2392656717899918998710*Sqrt[70]*lu1^7*f42n[t]*g40[t]*g44[t] + 12182421107570598338580*Sqrt[70]*lu1^8*f42n[t]*g40[t]*g44[t] + 3914969863425340310280*Sqrt[70]*lu1^9*f42n[t]*g40[t]*g44[t] - 1056132376526750620391280*Sqrt[70]*lu1^10*f42n[t]*g40[t]*g44[t] - 2740309021201530222980640*Sqrt[70]*lu1^11*f42n[t]*g40[t]*g44[t] + 7981093473358057096996800*Sqrt[70]*lu1^12*f42n[t]*g40[t]*g44[t] + 33073918621213155459120000*Sqrt[70]*lu1^13*f42n[t]*g40[t]*g44[t] + 26050912027874017593120000*Sqrt[70]*lu1^14*f42n[t]*g40[t]*g44[t] - 5528243203716187785600000*Sqrt[70]*lu1^15*f42n[t]*g40[t]*g44[t] + 4205300703030*f44n[t]*g42[t]*g44[t] - 339124711513014*lu1*f44n[t]* g42[t]*g44[t] - 1109231676980406*lu1^2*f44n[t]*g42[t]*g44[t] + 155004632411456394*lu1^3*f44n[t]*g42[t]*g44[t] + 5976079657260644862*lu1^4*f44n[t]*g42[t]*g44[t] + 175016727425242921302*lu1^5*f44n[t]*g42[t]*g44[t] - 5190976336659025643010*lu1^6*f44n[t]*g42[t]*g44[t] - 44699347048599914340978*lu1^7*f44n[t]*g42[t]*g44[t] + 753158213102039571071028*lu1^8*f44n[t]*g42[t]*g44[t] + 3270801039961788464126184*lu1^9*f44n[t]*g42[t]*g44[t] - 33236763579790928707593456*lu1^10*f44n[t]*g42[t]*g44[t] - 86346759320466055057098144*lu1^11*f44n[t]*g42[t]*g44[t] + 310044762816180637220111808*lu1^12*f44n[t]*g42[t]*g44[t] + 1220655998283107308427836800*lu1^13*f44n[t]*g42[t]*g44[t] + 1355003103190546459820217600*lu1^14*f44n[t]*g42[t]*g44[t] + 521402651622307639062144000*lu1^15*f44n[t]*g42[t]*g44[t] - 288375731415*Sqrt[70]*f40[t]*g42n[t]*g44[t] - 690572865249*Sqrt[70]* lu1*f40[t]*g42n[t]*g44[t] + 520773728159439*Sqrt[70]*lu1^2*f40[t]* g42n[t]*g44[t] + 47289808315717119*Sqrt[70]*lu1^3*f40[t]*g42n[t]* g44[t] - 860867585619811443*Sqrt[70]*lu1^4*f40[t]*g42n[t]*g44[t] - 12703698238770041103*Sqrt[70]*lu1^5*f40[t]*g42n[t]*g44[t] + 127305366835028760765*Sqrt[70]*lu1^6*f40[t]*g42n[t]*g44[t] + 1282278256986325287717*Sqrt[70]*lu1^7*f40[t]*g42n[t]*g44[t] - 346990671854579449242*Sqrt[70]*lu1^8*f40[t]*g42n[t]*g44[t] - 15564816931169962398276*Sqrt[70]*lu1^9*f40[t]*g42n[t]*g44[t] - 100080437976306527321736*Sqrt[70]*lu1^10*f40[t]*g42n[t]*g44[t] - 217132272913146643640304*Sqrt[70]*lu1^11*f40[t]*g42n[t]*g44[t] - 2955954553725091204177632*Sqrt[70]*lu1^12*f40[t]*g42n[t]*g44[t] - 10511174913063987333435840*Sqrt[70]*lu1^13*f40[t]*g42n[t]*g44[t] - 7544906568042132205123200*Sqrt[70]*lu1^14*f40[t]*g42n[t]*g44[t] + 4278499128537540500160000*Sqrt[70]*lu1^15*f40[t]*g42n[t]*g44[t] - 2868169165470*f44[t]*g42n[t]*g44[t] - 706509055297458*lu1*f44[t]* g42n[t]*g44[t] + 39478300154142318*lu1^2*f44[t]*g42n[t]*g44[t] + 1176776798871622158*lu1^3*f44[t]*g42n[t]*g44[t] - 46441007090241213366*lu1^4*f44[t]*g42n[t]*g44[t] - 308620196219315116206*lu1^5*f44[t]*g42n[t]*g44[t] + 12636527985427076851050*lu1^6*f44[t]*g42n[t]*g44[t] + 33400233469813181118714*lu1^7*f44[t]*g42n[t]*g44[t] - 1228853109596825651336244*lu1^8*f44[t]*g42n[t]*g44[t] - 1259776777553350166125512*lu1^9*f44[t]*g42n[t]*g44[t] + 47696941432686063220981488*lu1^10*f44[t]*g42n[t]*g44[t] + 33418211440207716988522272*lu1^11*f44[t]*g42n[t]*g44[t] - 546798520754858333628886464*lu1^12*f44[t]*g42n[t]*g44[t] - 1231207228210660430089207680*lu1^13*f44[t]*g42n[t]*g44[t] - 751402911010734191473286400*lu1^14*f44[t]*g42n[t]*g44[t] - 39285943411440920100480000*lu1^15*f44[t]*g42n[t]*g44[t] - 512872779510*Sqrt[3]*f22n[t]*g44[t]^2 + 88736772319650*Sqrt[3]*lu1* f22n[t]*g44[t]^2 - 1238816099438190*Sqrt[3]*lu1^2*f22n[t]* g44[t]^2 - 201537056762373150*Sqrt[3]*lu1^3*f22n[t]*g44[t]^2 + 4075056806749642350*Sqrt[3]*lu1^4*f22n[t]*g44[t]^2 + 67502326660680352350*Sqrt[3]*lu1^5*f22n[t]*g44[t]^2 - 1281809784841952579850*Sqrt[3]*lu1^6*f22n[t]*g44[t]^2 - 8599035156237667336650*Sqrt[3]*lu1^7*f22n[t]*g44[t]^2 + 116717198128668419209200*Sqrt[3]*lu1^8*f22n[t]*g44[t]^2 + 423939483766811382388200*Sqrt[3]*lu1^9*f22n[t]*g44[t]^2 - 3494208206401170853336560*Sqrt[3]*lu1^10*f22n[t]*g44[t]^2 - 10199439831751698844243200*Sqrt[3]*lu1^11*f22n[t]*g44[t]^2 + 23715863203092432217023360*Sqrt[3]*lu1^12*f22n[t]*g44[t]^2 + 111454140091259668731100800*Sqrt[3]*lu1^13*f22n[t]*g44[t]^2 + 133695562529090252946528000*Sqrt[3]*lu1^14*f22n[t]*g44[t]^2 + 51970623021196000954560000*Sqrt[3]*lu1^15*f22n[t]*g44[t]^2 + 3277214316810*f42n[t]*g44[t]^2 - 847796096227626*lu1*f42n[t]* g44[t]^2 + 17867687497332246*lu1^2*f42n[t]*g44[t]^2 + 1539282005321016726*lu1^3*f42n[t]*g44[t]^2 - 25777942502168729502* lu1^4*f42n[t]*g44[t]^2 - 605211183024975822582*lu1^5*f42n[t]* g44[t]^2 + 5495818353608784319650*lu1^6*f42n[t]*g44[t]^2 + 97565409717602597691858*lu1^7*f42n[t]*g44[t]^2 - 74067367579773931555668*lu1^8*f42n[t]*g44[t]^2 - 5098711158970515754361064*lu1^9*f42n[t]*g44[t]^2 - 17987410403220971493227664*lu1^10*f42n[t]*g44[t]^2 + 89937349088044470771425184*lu1^11*f42n[t]*g44[t]^2 + 443612336759361812578761792*lu1^12*f42n[t]*g44[t]^2 + 428373120439736159951975040*lu1^13*f42n[t]*g44[t]^2 - 203573232647209187569900800*lu1^14*f42n[t]*g44[t]^2 - 291100167561153440568960000*lu1^15*f42n[t]*g44[t]^2 - 2738837093220*Sqrt[70]*f40[t]*f42[t]*g44n[t] - 820096340441004*Sqrt[70]*lu1*f40[t]*f42[t]*g44n[t] + 12048106164753024*Sqrt[70]*lu1^2*f40[t]*f42[t]*g44n[t] + 2089559608754728824*Sqrt[70]*lu1^3*f40[t]*f42[t]*g44n[t] - 1653594865226003088*Sqrt[70]*lu1^4*f40[t]*f42[t]*g44n[t] + 798989232669367089312*Sqrt[70]*lu1^5*f40[t]*f42[t]*g44n[t] - 302658484833196505640*Sqrt[70]*lu1^6*f40[t]*f42[t]*g44n[t] - 252463931881911578635128*Sqrt[70]*lu1^7*f40[t]*f42[t]*g44n[t] - 1248422463270082214776332*Sqrt[70]*lu1^8*f40[t]*f42[t]*g44n[t] + 7817439515086076612091084*Sqrt[70]*lu1^9*f40[t]*f42[t]*g44n[t] + 46900796007235186784292264*Sqrt[70]*lu1^10*f40[t]*f42[t]*g44n[t] + 66990409577742256594678656*Sqrt[70]*lu1^11*f40[t]*f42[t]*g44n[t] - 21914446395562528427574912*Sqrt[70]*lu1^12*f40[t]*f42[t]*g44n[t] - 145263376838697302383007040*Sqrt[70]*lu1^13*f40[t]*f42[t]*g44n[t] - 125216961512679125332387200*Sqrt[70]*lu1^14*f40[t]*f42[t]*g44n[t] - 12185465021861000667840000*Sqrt[70]*lu1^15*f40[t]*f42[t]*g44n[t] + 36625635794664*f42[t]*f44[t]*g44n[t] - 5900118931456344*lu1*f42[t]* f44[t]*g44n[t] - 154228033888496064*lu1^2*f42[t]*f44[t]*g44n[t] + 26381475924665290128*lu1^3*f42[t]*f44[t]*g44n[t] + 352631462782453380288*lu1^4*f42[t]*f44[t]*g44n[t] - 29014443127098282238560*lu1^5*f42[t]*f44[t]*g44n[t] - 413059528532460029390352*lu1^6*f42[t]*f44[t]*g44n[t] + 2750939280219544790915952*lu1^7*f42[t]*f44[t]*g44n[t] + 45222738412134060187275096*lu1^8*f42[t]*f44[t]*g44n[t] - 116434701614368885743914184*lu1^9*f42[t]*f44[t]*g44n[t] - 865927258834587113490114096*lu1^10*f42[t]*f44[t]*g44n[t] - 315924755714886606474912768*lu1^11*f42[t]*f44[t]*g44n[t] + 2426800633552767333217789440*lu1^12*f42[t]*f44[t]*g44n[t] + 2015397383610826277816342400*lu1^13*f42[t]*f44[t]*g44n[t] - 1113249625711996441263840000*lu1^14*f42[t]*f44[t]*g44n[t] - 1173631668081632397429120000*lu1^15*f42[t]*f44[t]*g44n[t] - 25456888941120*Sqrt[3]*f22n[t]*f44n[t]*g44n[t] - 8336136546508680*Sqrt[3]*lu1*f22n[t]*f44n[t]*g44n[t] + 301683507904789920*Sqrt[3]*lu1^2*f22n[t]*f44n[t]*g44n[t] + 23314367874701685600*Sqrt[3]*lu1^3*f22n[t]*f44n[t]*g44n[t] - 386784141924725454000*Sqrt[3]*lu1^4*f22n[t]*f44n[t]*g44n[t] - 12360079539478300528080*Sqrt[3]*lu1^5*f22n[t]*f44n[t]*g44n[t] + 25633826500727323198320*Sqrt[3]*lu1^6*f22n[t]*f44n[t]*g44n[t] + 1102161977770908728462880*Sqrt[3]*lu1^7*f22n[t]*f44n[t]*g44n[t] + 3623685698006414784198000*Sqrt[3]*lu1^8*f22n[t]*f44n[t]*g44n[t] - 43570635422944354479791400*Sqrt[3]*lu1^9*f22n[t]*f44n[t]*g44n[t] - 83111002575487914027371280*Sqrt[3]*lu1^10*f22n[t]*f44n[t]*g44n[t] + 316121287962245510507468160*Sqrt[3]*lu1^11*f22n[t]*f44n[t]*g44n[t] + 174742567701426928535230080*Sqrt[3]*lu1^12*f22n[t]*f44n[t]*g44n[t] - 2165446411491837724615747200*Sqrt[3]*lu1^13*f22n[t]*f44n[t]* g44n[t] - 3058724075309005021140768000*Sqrt[3]*lu1^14*f22n[t]* f44n[t]*g44n[t] - 907169732354431215895680000*Sqrt[3]*lu1^15* f22n[t]*f44n[t]*g44n[t] - 197513714619144*f42n[t]*f44n[t]*g44n[t] + 37980622059996168*lu1*f42n[t]*f44n[t]*g44n[t] - 90115966606921920*lu1^2*f42n[t]*f44n[t]*g44n[t] - 81497702704935745872*lu1^3*f42n[t]*f44n[t]*g44n[t] - 152719623664420811040*lu1^4*f42n[t]*f44n[t]*g44n[t] + 23524051988459449885248*lu1^5*f42n[t]*f44n[t]*g44n[t] + 368509636562698309380912*lu1^6*f42n[t]*f44n[t]*g44n[t] - 1558802225513254747387824*lu1^7*f42n[t]*f44n[t]*g44n[t] - 28452249681592504795020504*lu1^8*f42n[t]*f44n[t]*g44n[t] + 163894871475596861854180920*lu1^9*f42n[t]*f44n[t]*g44n[t] + 286931354247266211006732432*lu1^10*f42n[t]*f44n[t]*g44n[t] - 2560592850570895437227766528*lu1^11*f42n[t]*f44n[t]*g44n[t] - 6480139379976024243078866688*lu1^12*f42n[t]*f44n[t]*g44n[t] - 3224082351217198347268882560*lu1^13*f42n[t]*f44n[t]*g44n[t] + 1580290913353585169234131200*lu1^14*f42n[t]*f44n[t]*g44n[t] + 799586755372263038866560000*lu1^15*f42n[t]*f44n[t]*g44n[t] + 43097463045*Sqrt[14]*f42[t]*g20[t]*g44n[t] + 68817384715365*Sqrt[14]* lu1*f42[t]*g20[t]*g44n[t] - 2280078940264515*Sqrt[14]*lu1^2*f42[t]* g20[t]*g44n[t] - 153042859764015975*Sqrt[14]*lu1^3*f42[t]*g20[t]* g44n[t] + 3459464758288283355*Sqrt[14]*lu1^4*f42[t]*g20[t]* g44n[t] + 22712816067203695095*Sqrt[14]*lu1^5*f42[t]*g20[t]* g44n[t] - 713521728544506247665*Sqrt[14]*lu1^6*f42[t]*g20[t]* g44n[t] - 1888799799627677470365*Sqrt[14]*lu1^7*f42[t]*g20[t]* g44n[t] + 68583685097282793714900*Sqrt[14]*lu1^8*f42[t]*g20[t]* g44n[t] + 372551308413331423039560*Sqrt[14]*lu1^9*f42[t]*g20[t]* g44n[t] - 1345934836572047642269440*Sqrt[14]*lu1^10*f42[t]*g20[t]* g44n[t] - 16353067545208344293871840*Sqrt[14]*lu1^11*f42[t]*g20[t]* g44n[t] - 70768085534896711906825920*Sqrt[14]*lu1^12*f42[t]*g20[t]* g44n[t] - 111275919613499799881923200*Sqrt[14]*lu1^13*f42[t]*g20[t]* g44n[t] - 9390370921508678538528000*Sqrt[14]*lu1^14*f42[t]*g20[t]* g44n[t] + 68332999545583038695520000*Sqrt[14]*lu1^15*f42[t]*g20[t]* g44n[t] + 81286203375*Sqrt[210]*f40[t]*g22[t]*g44n[t] + 44575941058623*Sqrt[210]*lu1*f40[t]*g22[t]*g44n[t] - 1610298591103449*Sqrt[210]*lu1^2*f40[t]*g22[t]*g44n[t] - 112041700088624865*Sqrt[210]*lu1^3*f40[t]*g22[t]*g44n[t] + 2454636173338803441*Sqrt[210]*lu1^4*f40[t]*g22[t]*g44n[t] + 42605064633873798849*Sqrt[210]*lu1^5*f40[t]*g22[t]*g44n[t] - 641356581357173307483*Sqrt[210]*lu1^6*f40[t]*g22[t]*g44n[t] - 7179563299167960174123*Sqrt[210]*lu1^7*f40[t]*g22[t]*g44n[t] + 45866500135730472507660*Sqrt[210]*lu1^8*f40[t]*g22[t]*g44n[t] + 506944916112101260278732*Sqrt[210]*lu1^9*f40[t]*g22[t]*g44n[t] - 233115556319627398398072*Sqrt[210]*lu1^10*f40[t]*g22[t]*g44n[t] - 11387867160768544436697408*Sqrt[210]*lu1^11*f40[t]*g22[t]*g44n[t] - 32050813509217823582196480*Sqrt[210]*lu1^12*f40[t]*g22[t]*g44n[t] - 19520104000282994203617600*Sqrt[210]*lu1^13*f40[t]*g22[t]*g44n[t] + 26012064907957370769072000*Sqrt[210]*lu1^14*f40[t]*g22[t]*g44n[t] + 23644590684359410190880000*Sqrt[210]*lu1^15*f40[t]*g22[t]*g44n[t] + 3230789127930*Sqrt[3]*f44[t]*g22[t]*g44n[t] - 136676601578790* Sqrt[3]*lu1*f44[t]*g22[t]*g44n[t] - 8295532755834870*Sqrt[3]*lu1^2* f44[t]*g22[t]*g44n[t] + 283179737301380010*Sqrt[3]*lu1^3*f44[t]* g22[t]*g44n[t] + 5405549879638509510*Sqrt[3]*lu1^4*f44[t]*g22[t]* g44n[t] - 100745685183511108650*Sqrt[3]*lu1^5*f44[t]*g22[t]* g44n[t] - 2445695000767217507490*Sqrt[3]*lu1^6*f44[t]*g22[t]* g44n[t] + 15726720240240003438990*Sqrt[3]*lu1^7*f44[t]*g22[t]* g44n[t] + 444140142675444484880520*Sqrt[3]*lu1^8*f44[t]*g22[t]* g44n[t] - 526922096704140455234280*Sqrt[3]*lu1^9*f44[t]*g22[t]* g44n[t] - 27188261973142761964265520*Sqrt[3]*lu1^10*f44[t]*g22[t]* g44n[t] - 38424906398071127343601920*Sqrt[3]*lu1^11*f44[t]*g22[t]* g44n[t] + 245852423926942714501052160*Sqrt[3]*lu1^12*f44[t]*g22[t]* g44n[t] + 628802778023239047518908800*Sqrt[3]*lu1^13*f44[t]*g22[t]* g44n[t] + 272028685572509394922848000*Sqrt[3]*lu1^14*f44[t]*g22[t]* g44n[t] - 152977460811239141663040000*Sqrt[3]*lu1^15*f44[t]*g22[t]* g44n[t] + 4940432725410*Sqrt[3]*f44n[t]*g22n[t]*g44n[t] + 143191335064050*Sqrt[3]*lu1*f44n[t]*g22n[t]*g44n[t] - 26370718205053950*Sqrt[3]*lu1^2*f44n[t]*g22n[t]*g44n[t] - 454371308200301310*Sqrt[3]*lu1^3*f44n[t]*g22n[t]*g44n[t] + 35854116064779304110*Sqrt[3]*lu1^4*f44n[t]*g22n[t]*g44n[t] + 293194367756916583230*Sqrt[3]*lu1^5*f44n[t]*g22n[t]*g44n[t] - 13313774800223588333370*Sqrt[3]*lu1^6*f44n[t]*g22n[t]*g44n[t] - 67022592068172795777450*Sqrt[3]*lu1^7*f44n[t]*g22n[t]*g44n[t] + 1556466222570740499771480*Sqrt[3]*lu1^8*f44n[t]*g22n[t]*g44n[t] + 6851863178176274166537720*Sqrt[3]*lu1^9*f44n[t]*g22n[t]*g44n[t] - 50358459539646841618679280*Sqrt[3]*lu1^10*f44n[t]*g22n[t]*g44n[t] - 220157062036577428050637440*Sqrt[3]*lu1^11*f44n[t]*g22n[t]*g44n[t] - 40955648099524369547481600*Sqrt[3]*lu1^12*f44n[t]*g22n[t]*g44n[t] + 681800696696255050721788800*Sqrt[3]*lu1^13*f44n[t]*g22n[t]*g44n[t] + 752804591389906427045856000*Sqrt[3]*lu1^14*f44n[t]*g22n[t]*g44n[t] + 153802948192772541324480000*Sqrt[3]*lu1^15*f44n[t]*g22n[t]*g44n[t] + 199190188530*Sqrt[70]*f42[t]*g40[t]*g44n[t] - 5622830340930*Sqrt[70]* lu1*f42[t]*g40[t]*g44n[t] - 386549757672930*Sqrt[70]*lu1^2*f42[t]* g40[t]*g44n[t] - 9809452017081090*Sqrt[70]*lu1^3*f42[t]*g40[t]* g44n[t] + 485544979419506010*Sqrt[70]*lu1^4*f42[t]*g40[t]*g44n[t] + 13435321875687022050*Sqrt[70]*lu1^5*f42[t]*g40[t]*g44n[t] - 115533545891706989190*Sqrt[70]*lu1^6*f42[t]*g40[t]*g44n[t] - 2392656717899918998710*Sqrt[70]*lu1^7*f42[t]*g40[t]*g44n[t] - 12182421107570598338580*Sqrt[70]*lu1^8*f42[t]*g40[t]*g44n[t] - 3914969863425340310280*Sqrt[70]*lu1^9*f42[t]*g40[t]*g44n[t] + 1056132376526750620391280*Sqrt[70]*lu1^10*f42[t]*g40[t]*g44n[t] + 2740309021201530222980640*Sqrt[70]*lu1^11*f42[t]*g40[t]*g44n[t] - 7981093473358057096996800*Sqrt[70]*lu1^12*f42[t]*g40[t]*g44n[t] - 33073918621213155459120000*Sqrt[70]*lu1^13*f42[t]*g40[t]*g44n[t] - 26050912027874017593120000*Sqrt[70]*lu1^14*f42[t]*g40[t]*g44n[t] + 5528243203716187785600000*Sqrt[70]*lu1^15*f42[t]*g40[t]*g44n[t] + 288375731415*Sqrt[70]*f40[t]*g42[t]*g44n[t] + 690572865249*Sqrt[70]* lu1*f40[t]*g42[t]*g44n[t] - 520773728159439*Sqrt[70]*lu1^2*f40[t]* g42[t]*g44n[t] - 47289808315717119*Sqrt[70]*lu1^3*f40[t]*g42[t]* g44n[t] + 860867585619811443*Sqrt[70]*lu1^4*f40[t]*g42[t]*g44n[t] + 12703698238770041103*Sqrt[70]*lu1^5*f40[t]*g42[t]*g44n[t] - 127305366835028760765*Sqrt[70]*lu1^6*f40[t]*g42[t]*g44n[t] - 1282278256986325287717*Sqrt[70]*lu1^7*f40[t]*g42[t]*g44n[t] + 346990671854579449242*Sqrt[70]*lu1^8*f40[t]*g42[t]*g44n[t] + 15564816931169962398276*Sqrt[70]*lu1^9*f40[t]*g42[t]*g44n[t] + 100080437976306527321736*Sqrt[70]*lu1^10*f40[t]*g42[t]*g44n[t] + 217132272913146643640304*Sqrt[70]*lu1^11*f40[t]*g42[t]*g44n[t] + 2955954553725091204177632*Sqrt[70]*lu1^12*f40[t]*g42[t]*g44n[t] + 10511174913063987333435840*Sqrt[70]*lu1^13*f40[t]*g42[t]*g44n[t] + 7544906568042132205123200*Sqrt[70]*lu1^14*f40[t]*g42[t]*g44n[t] - 4278499128537540500160000*Sqrt[70]*lu1^15*f40[t]*g42[t]*g44n[t] - 4205300703030*f44[t]*g42[t]*g44n[t] + 339124711513014*lu1*f44[t]* g42[t]*g44n[t] + 1109231676980406*lu1^2*f44[t]*g42[t]*g44n[t] - 155004632411456394*lu1^3*f44[t]*g42[t]*g44n[t] - 5976079657260644862*lu1^4*f44[t]*g42[t]*g44n[t] - 175016727425242921302*lu1^5*f44[t]*g42[t]*g44n[t] + 5190976336659025643010*lu1^6*f44[t]*g42[t]*g44n[t] + 44699347048599914340978*lu1^7*f44[t]*g42[t]*g44n[t] - 753158213102039571071028*lu1^8*f44[t]*g42[t]*g44n[t] - 3270801039961788464126184*lu1^9*f44[t]*g42[t]*g44n[t] + 33236763579790928707593456*lu1^10*f44[t]*g42[t]*g44n[t] + 86346759320466055057098144*lu1^11*f44[t]*g42[t]*g44n[t] - 310044762816180637220111808*lu1^12*f44[t]*g42[t]*g44n[t] - 1220655998283107308427836800*lu1^13*f44[t]*g42[t]*g44n[t] - 1355003103190546459820217600*lu1^14*f44[t]*g42[t]*g44n[t] - 521402651622307639062144000*lu1^15*f44[t]*g42[t]*g44n[t] - 2868169165470*f44n[t]*g42n[t]*g44n[t] - 706509055297458*lu1*f44n[t]* g42n[t]*g44n[t] + 39478300154142318*lu1^2*f44n[t]*g42n[t]*g44n[t] + 1176776798871622158*lu1^3*f44n[t]*g42n[t]*g44n[t] - 46441007090241213366*lu1^4*f44n[t]*g42n[t]*g44n[t] - 308620196219315116206*lu1^5*f44n[t]*g42n[t]*g44n[t] + 12636527985427076851050*lu1^6*f44n[t]*g42n[t]*g44n[t] + 33400233469813181118714*lu1^7*f44n[t]*g42n[t]*g44n[t] - 1228853109596825651336244*lu1^8*f44n[t]*g42n[t]*g44n[t] - 1259776777553350166125512*lu1^9*f44n[t]*g42n[t]*g44n[t] + 47696941432686063220981488*lu1^10*f44n[t]*g42n[t]*g44n[t] + 33418211440207716988522272*lu1^11*f44n[t]*g42n[t]*g44n[t] - 546798520754858333628886464*lu1^12*f44n[t]*g42n[t]*g44n[t] - 1231207228210660430089207680*lu1^13*f44n[t]*g42n[t]*g44n[t] - 751402911010734191473286400*lu1^14*f44n[t]*g42n[t]*g44n[t] - 39285943411440920100480000*lu1^15*f44n[t]*g42n[t]*g44n[t] - 512872779510*Sqrt[3]*f22n[t]*g44n[t]^2 + 88736772319650*Sqrt[3]*lu1* f22n[t]*g44n[t]^2 - 1238816099438190*Sqrt[3]*lu1^2*f22n[t]* g44n[t]^2 - 201537056762373150*Sqrt[3]*lu1^3*f22n[t]*g44n[t]^2 + 4075056806749642350*Sqrt[3]*lu1^4*f22n[t]*g44n[t]^2 + 67502326660680352350*Sqrt[3]*lu1^5*f22n[t]*g44n[t]^2 - 1281809784841952579850*Sqrt[3]*lu1^6*f22n[t]*g44n[t]^2 - 8599035156237667336650*Sqrt[3]*lu1^7*f22n[t]*g44n[t]^2 + 116717198128668419209200*Sqrt[3]*lu1^8*f22n[t]*g44n[t]^2 + 423939483766811382388200*Sqrt[3]*lu1^9*f22n[t]*g44n[t]^2 - 3494208206401170853336560*Sqrt[3]*lu1^10*f22n[t]*g44n[t]^2 - 10199439831751698844243200*Sqrt[3]*lu1^11*f22n[t]*g44n[t]^2 + 23715863203092432217023360*Sqrt[3]*lu1^12*f22n[t]*g44n[t]^2 + 111454140091259668731100800*Sqrt[3]*lu1^13*f22n[t]*g44n[t]^2 + 133695562529090252946528000*Sqrt[3]*lu1^14*f22n[t]*g44n[t]^2 + 51970623021196000954560000*Sqrt[3]*lu1^15*f22n[t]*g44n[t]^2 + 3277214316810*f42n[t]*g44n[t]^2 - 847796096227626*lu1*f42n[t]* g44n[t]^2 + 17867687497332246*lu1^2*f42n[t]*g44n[t]^2 + 1539282005321016726*lu1^3*f42n[t]*g44n[t]^2 - 25777942502168729502* lu1^4*f42n[t]*g44n[t]^2 - 605211183024975822582*lu1^5*f42n[t]* g44n[t]^2 + 5495818353608784319650*lu1^6*f42n[t]*g44n[t]^2 + 97565409717602597691858*lu1^7*f42n[t]*g44n[t]^2 - 74067367579773931555668*lu1^8*f42n[t]*g44n[t]^2 - 5098711158970515754361064*lu1^9*f42n[t]*g44n[t]^2 - 17987410403220971493227664*lu1^10*f42n[t]*g44n[t]^2 + 89937349088044470771425184*lu1^11*f42n[t]*g44n[t]^2 + 443612336759361812578761792*lu1^12*f42n[t]*g44n[t]^2 + 428373120439736159951975040*lu1^13*f42n[t]*g44n[t]^2 - 203573232647209187569900800*lu1^14*f42n[t]*g44n[t]^2 - 291100167561153440568960000*lu1^15*f42n[t]*g44n[t]^2 - 442*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]*(-47628027540*Sqrt[210]*f40[t]* f44n[t] + 2259727276140*Sqrt[210]*lu1*f40[t]*f44n[t] - 29274873891840*Sqrt[210]*lu1^2*f40[t]*f44n[t] - 344590783974240*Sqrt[210]*lu1^3*f40[t]*f44n[t] + 11315911639600020*Sqrt[210]*lu1^4*f40[t]*f44n[t] + 1363029452811660*Sqrt[210]*lu1^5*f40[t]*f44n[t] + 649285772529630840*Sqrt[210]*lu1^6*f40[t]*f44n[t] - 7947590726234679000*Sqrt[210]*lu1^7*f40[t]*f44n[t] - 109353750982064656440*Sqrt[210]*lu1^8*f40[t]*f44n[t] - 168368787515839290240*Sqrt[210]*lu1^9*f40[t]*f44n[t] + 181064190004297155840*Sqrt[210]*lu1^10*f40[t]*f44n[t] + 439093385153218022400*Sqrt[210]*lu1^11*f40[t]*f44n[t] + 212634673499564400000*Sqrt[210]*lu1^12*f40[t]*f44n[t] + 51210046498255680000*Sqrt[210]*lu1^13*f40[t]*f44n[t] + 1195281765*Sqrt[42]*f44n[t]*g20[t] + 301099183605*Sqrt[42]*lu1* f44n[t]*g20[t] - 8149717203615*Sqrt[42]*lu1^2*f44n[t]*g20[t] - 234855326982585*Sqrt[42]*lu1^3*f44n[t]*g20[t] + 3355269625162905*Sqrt[42]*lu1^4*f44n[t]*g20[t] + 44802783874551475*Sqrt[42]*lu1^5*f44n[t]*g20[t] - 180796786523975985*Sqrt[42]*lu1^6*f44n[t]*g20[t] - 2422506250983039815*Sqrt[42]*lu1^7*f44n[t]*g20[t] - 8384779976955985550*Sqrt[42]*lu1^8*f44n[t]*g20[t] - 6917353370967990680*Sqrt[42]*lu1^9*f44n[t]*g20[t] + 41702969921276309920*Sqrt[42]*lu1^10*f44n[t]*g20[t] + 65063944654561597200*Sqrt[42]*lu1^11*f44n[t]*g20[t] + 14303462058688324000*Sqrt[42]*lu1^12*f44n[t]*g20[t] - 46949124149760000*Sqrt[42]*lu1^13*f44n[t]*g20[t] - 68555706750*f42n[t]*g22[t] + 1818025035930*lu1*f42n[t]*g22[t] + 35505316347930*lu1^2*f42n[t]*g22[t] - 265648926678210*lu1^3* f42n[t]*g22[t] - 13284147462249630*lu1^4*f42n[t]*g22[t] - 10133244749073570*lu1^5*f42n[t]*g22[t] + 1043534885378419110*lu1^6* f42n[t]*g22[t] + 2646682931272778610*lu1^7*f42n[t]*g22[t] + 37039201079516326380*lu1^8*f42n[t]*g22[t] + 401708644591304534040* lu1^9*f42n[t]*g22[t] + 1212590286444034326960*lu1^10*f42n[t]* g22[t] + 1202423751163486656000*lu1^11*f42n[t]*g22[t] - 95682887167112256000*lu1^12*f42n[t]*g22[t] - 493522191158673600000* lu1^13*f42n[t]*g22[t] + 490482135*Sqrt[3]*g22[t]*g22n[t] - 9101805570*Sqrt[3]*lu1*g22[t]*g22n[t] - 639406677195*Sqrt[3]*lu1^2* g22[t]*g22n[t] + 7787070591300*Sqrt[3]*lu1^3*g22[t]*g22n[t] + 286565855924205*Sqrt[3]*lu1^4*g22[t]*g22n[t] - 1816730220921330* Sqrt[3]*lu1^5*g22[t]*g22n[t] - 56831542676502165*Sqrt[3]*lu1^6* g22[t]*g22n[t] + 47184441347060160*Sqrt[3]*lu1^7*g22[t]*g22n[t] + 4407047161219517100*Sqrt[3]*lu1^8*g22[t]*g22n[t] + 16201807989347769360*Sqrt[3]*lu1^9*g22[t]*g22n[t] - 11069152973541577200*Sqrt[3]*lu1^10*g22[t]*g22n[t] - 82368183953010384000*Sqrt[3]*lu1^11*g22[t]*g22n[t] - 80962386872161080000*Sqrt[3]*lu1^12*g22[t]*g22n[t] - 21059026731943200000*Sqrt[3]*lu1^13*g22[t]*g22n[t] - 5079037284*Sqrt[210]*f44n[t]*g40[t] - 458213817834*Sqrt[210]*lu1* f44n[t]*g40[t] + 10085446989738*Sqrt[210]*lu1^2*f44n[t]*g40[t] + 242046533963034*Sqrt[210]*lu1^3*f44n[t]*g40[t] - 561458642017554*Sqrt[210]*lu1^4*f44n[t]*g40[t] - 4928616311416278*Sqrt[210]*lu1^5*f44n[t]*g40[t] - 78129823356102138*Sqrt[210]*lu1^6*f44n[t]*g40[t] - 40817333247949674*Sqrt[210]*lu1^7*f44n[t]*g40[t] + 1650420226918999398*Sqrt[210]*lu1^8*f44n[t]*g40[t] + 4417099396442843472*Sqrt[210]*lu1^9*f44n[t]*g40[t] - 10878685697927850240*Sqrt[210]*lu1^10*f44n[t]*g40[t] - 40746893400745142400*Sqrt[210]*lu1^11*f44n[t]*g40[t] - 31428429463409196000*Sqrt[210]*lu1^12*f44n[t]*g40[t] - 2286619576323600000*Sqrt[210]*lu1^13*f44n[t]*g40[t] + 10905915330*Sqrt[3]*f42n[t]*g42[t] + 987636778650*Sqrt[3]*lu1* f42n[t]*g42[t] + 555485153130*Sqrt[3]*lu1^2*f42n[t]*g42[t] - 1440613073079990*Sqrt[3]*lu1^3*f42n[t]*g42[t] - 10632639937195170*Sqrt[3]*lu1^4*f42n[t]*g42[t] + 127478621192928990*Sqrt[3]*lu1^5*f42n[t]*g42[t] + 1542665368688340030*Sqrt[3]*lu1^6*f42n[t]*g42[t] - 7092415869443129250*Sqrt[3]*lu1^7*f42n[t]*g42[t] - 32063417274412178760*Sqrt[3]*lu1^8*f42n[t]*g42[t] + 26315986266436777920*Sqrt[3]*lu1^9*f42n[t]*g42[t] + 307103639301374586240*Sqrt[3]*lu1^10*f42n[t]*g42[t] + 538789353622066432800*Sqrt[3]*lu1^11*f42n[t]*g42[t] + 193165255693007904000*Sqrt[3]*lu1^12*f42n[t]*g42[t] - 144313208170756800000*Sqrt[3]*lu1^13*f42n[t]*g42[t] - 1918232280*g22n[t]*g42[t] + 7746665850*lu1*g22n[t]*g42[t] + 2389677385680*lu1^2*g22n[t]*g42[t] + 46116702024210*lu1^3*g22n[t]* g42[t] - 1491464503443840*lu1^4*g22n[t]*g42[t] - 8658860258313450*lu1^5*g22n[t]*g42[t] + 184807779790324800*lu1^6* g22n[t]*g42[t] + 500773432293631110*lu1^7*g22n[t]*g42[t] - 7014827764955631480*lu1^8*g22n[t]*g42[t] - 18322807514097124680* lu1^9*g22n[t]*g42[t] + 73344454434484758720*lu1^10*g22n[t]* g42[t] + 312358523035478484000*lu1^11*g22n[t]*g42[t] + 368438760421585488000*lu1^12*g22n[t]*g42[t] + 135906053582754000000*lu1^13*g22n[t]*g42[t] + 30*(1 + 2*lu1)* f22n[t]*(30*(310650957 - 21927912777*lu1 + 259470858255*lu1^2 + 10979859199627*lu1^3 - 242108737245387*lu1^4 + 289421196797069* lu1^5 + 9042831161886029*lu1^6 - 21411122444032407*lu1^7 - 5791885294510310*lu1^8 + 193780734457602520*lu1^9 + 814556656718499720*lu1^10 + 1093654158305870000*lu1^11 + 359601804214296000*lu1^12)*f42[t] + 143*Sqrt[3]* (320841 - 57535623*lu1 + 1029130839*lu1^2 + 46108213545*lu1^3 - 822264865051*lu1^4 - 8371977474561*lu1^5 + 115397454004325* lu1^6 + 628677384019811*lu1^7 - 3016794919034626*lu1^8 - 4022804585751460*lu1^9 + 22662026529159000*lu1^10 + 41909765249276000*lu1^11 + 17537616317760000*lu1^12)*g22[t] - 30*(-18630324 - 2468024181*lu1 + 60790589649*lu1^2 + 1816062929439*lu1^3 - 15427800563009*lu1^4 - 28555918091089* lu1^5 - 7538910893145*lu1^6 + 3758049427447289*lu1^7 - 16474990364863139*lu1^8 - 20124133418273274*lu1^9 + 209464193768279920*lu1^10 + 389571195526665800*lu1^11 + 165789422328138000*lu1^12)*g42[t]) - 835958880*g22[t]* g42n[t] - 78774174270*lu1*g22[t]*g42n[t] + 3520613369520*lu1^2* g22[t]*g42n[t] + 9837392301450*lu1^3*g22[t]*g42n[t] - 1106566396422360*lu1^4*g22[t]*g42n[t] + 985142175827430*lu1^5* g22[t]*g42n[t] + 113846055265338960*lu1^6*g22[t]*g42n[t] - 134110757018084610*lu1^7*g22[t]*g42n[t] - 4225527078549083400* lu1^8*g22[t]*g42n[t] + 2205317335551719280*lu1^9*g22[t]*g42n[t] + 67052909260156198080*lu1^10*g22[t]*g42n[t] + 152314852300473180000* lu1^11*g22[t]*g42n[t] + 122104072217384112000*lu1^12*g22[t]* g42n[t] + 29278615728398400000*lu1^13*g22[t]*g42n[t] - 618144615*Sqrt[3]*g42[t]*g42n[t] + 8306124750*Sqrt[3]*lu1*g42[t]* g42n[t] + 693435467835*Sqrt[3]*lu1^2*g42[t]*g42n[t] + 3188507448060*Sqrt[3]*lu1^3*g42[t]*g42n[t] - 346909862626305* Sqrt[3]*lu1^4*g42[t]*g42n[t] - 579205179161730*Sqrt[3]*lu1^5* g42[t]*g42n[t] + 43880528530749405*Sqrt[3]*lu1^6*g42[t]*g42n[t] + 33492349829892360*Sqrt[3]*lu1^7*g42[t]*g42n[t] - 1746928330992224160*Sqrt[3]*lu1^8*g42[t]*g42n[t] - 2114303449265185200*Sqrt[3]*lu1^9*g42[t]*g42n[t] + 19362711161839945680*Sqrt[3]*lu1^10*g42[t]*g42n[t] + 55914101487655910400*Sqrt[3]*lu1^11*g42[t]*g42n[t] + 49577478380576784000*Sqrt[3]*lu1^12*g42[t]*g42n[t] + 11769360679248480000*Sqrt[3]*lu1^13*g42[t]*g42n[t] - 30*f42[t]*(2*Sqrt[3]*(-673244757 + 76954505877*lu1 - 2198896946814* lu1^2 - 37784488904332*lu1^3 + 536073285274685*lu1^4 + 7857411130707221*lu1^5 + 5785642875923872*lu1^6 - 326004749712878254*lu1^7 - 6337225147818441082*lu1^8 - 5508145636086982784*lu1^9 + 28051542939736707488*lu1^10 + 36718068109501857600*lu1^11 + 7787621234861165600*lu1^12 + 4261882071406064000*lu1^13)*f42n[t] - (750024009 + 54983059407* lu1 - 2434783458237*lu1^2 - 42675741672911*lu1^3 + 1169960724399183*lu1^4 + 5383004705157997*lu1^5 - 115448080876572811*lu1^6 - 146373692803611649*lu1^7 + 2947592031027918648*lu1^8 + 5350780371764217396*lu1^9 - 805894766144293192*lu1^10 - 1281973403614513600*lu1^11 + 8376652433084415200*lu1^12 + 6857993374532160000*lu1^13)* g22n[t] - 2*Sqrt[3]*(229554297 + 2951444700*lu1 - 673611961749* lu1^2 + 24724246254772*lu1^3 + 333223583956285*lu1^4 - 1993229580523876*lu1^5 - 35414869930158055*lu1^6 + 128437240131334452*lu1^7 + 581255479126542774*lu1^8 - 827175490240272640*lu1^9 - 2602958774647708240*lu1^10 + 2359739179430433760*lu1^11 + 7011043239761495200*lu1^12 + 3090561032694576000*lu1^13)*g42n[t]) + 12828692520*Sqrt[3]* f44n[t]*g44[t] + 199519222140*Sqrt[3]*lu1*f44n[t]*g44[t] - 36917373657780*Sqrt[3]*lu1^2*f44n[t]*g44[t] + 1163286048804180* Sqrt[3]*lu1^3*f44n[t]*g44[t] + 14123099629679460*Sqrt[3]*lu1^4* f44n[t]*g44[t] - 183289311684278940*Sqrt[3]*lu1^5*f44n[t]* g44[t] - 1597092520656079020*Sqrt[3]*lu1^6*f44n[t]*g44[t] + 11072808378457621740*Sqrt[3]*lu1^7*f44n[t]*g44[t] + 33588060790624272660*Sqrt[3]*lu1^8*f44n[t]*g44[t] - 87150398324567938080*Sqrt[3]*lu1^9*f44n[t]*g44[t] - 311406056329136146560*Sqrt[3]*lu1^10*f44n[t]*g44[t] - 160746486518062300800*Sqrt[3]*lu1^11*f44n[t]*g44[t] + 258185630347747032000*Sqrt[3]*lu1^12*f44n[t]*g44[t] + 234609754333143840000*Sqrt[3]*lu1^13*f44n[t]*g44[t] - 1819001610*Sqrt[210]*f40[t]*g44n[t] - 274489360848*Sqrt[210]*lu1* f40[t]*g44n[t] + 5793881710968*Sqrt[210]*lu1^2*f40[t]*g44n[t] + 123251949427260*Sqrt[210]*lu1^3*f40[t]*g44n[t] - 1245505078376952*Sqrt[210]*lu1^4*f40[t]*g44n[t] - 19445378083085064*Sqrt[210]*lu1^5*f40[t]*g44n[t] + 30996847376247552*Sqrt[210]*lu1^6*f40[t]*g44n[t] + 855981710722866060*Sqrt[210]*lu1^7*f40[t]*g44n[t] + 940943963009717802*Sqrt[210]*lu1^8*f40[t]*g44n[t] - 8945779902521850768*Sqrt[210]*lu1^9*f40[t]*g44n[t] - 28774476182752524480*Sqrt[210]*lu1^10*f40[t]*g44n[t] - 25397322394992410400*Sqrt[210]*lu1^11*f40[t]*g44n[t] + 7770055507078332000*Sqrt[210]*lu1^12*f40[t]*g44n[t] + 14195574099317520000*Sqrt[210]*lu1^13*f40[t]*g44n[t] - 12828692520*Sqrt[3]*f44[t]*g44n[t] - 199519222140*Sqrt[3]*lu1* f44[t]*g44n[t] + 36917373657780*Sqrt[3]*lu1^2*f44[t]*g44n[t] - 1163286048804180*Sqrt[3]*lu1^3*f44[t]*g44n[t] - 14123099629679460*Sqrt[3]*lu1^4*f44[t]*g44n[t] + 183289311684278940*Sqrt[3]*lu1^5*f44[t]*g44n[t] + 1597092520656079020*Sqrt[3]*lu1^6*f44[t]*g44n[t] - 11072808378457621740*Sqrt[3]*lu1^7*f44[t]*g44n[t] - 33588060790624272660*Sqrt[3]*lu1^8*f44[t]*g44n[t] + 87150398324567938080*Sqrt[3]*lu1^9*f44[t]*g44n[t] + 311406056329136146560*Sqrt[3]*lu1^10*f44[t]*g44n[t] + 160746486518062300800*Sqrt[3]*lu1^11*f44[t]*g44n[t] - 258185630347747032000*Sqrt[3]*lu1^12*f44[t]*g44n[t] - 234609754333143840000*Sqrt[3]*lu1^13*f44[t]*g44n[t] - 46666935*Sqrt[42]*g20[t]*g44n[t] - 615101850*Sqrt[42]*lu1*g20[t]* g44n[t] + 116551018935*Sqrt[42]*lu1^2*g20[t]*g44n[t] - 169167232170*Sqrt[42]*lu1^3*g20[t]*g44n[t] - 63653868381795* Sqrt[42]*lu1^4*g20[t]*g44n[t] + 89467986959790*Sqrt[42]*lu1^5* g20[t]*g44n[t] + 12548189262250725*Sqrt[42]*lu1^6*g20[t]* g44n[t] + 2640584980727970*Sqrt[42]*lu1^7*g20[t]*g44n[t] - 782304405706945890*Sqrt[42]*lu1^8*g20[t]*g44n[t] - 750887061561116940*Sqrt[42]*lu1^9*g20[t]*g44n[t] + 9189144747878584320*Sqrt[42]*lu1^10*g20[t]*g44n[t] + 23947910539005950400*Sqrt[42]*lu1^11*g20[t]*g44n[t] + 19586716364175660000*Sqrt[42]*lu1^12*g20[t]*g44n[t] + 4498181741606280000*Sqrt[42]*lu1^13*g20[t]*g44n[t] + 80405055*Sqrt[210]*g40[t]*g44n[t] + 1660701042*Sqrt[210]*lu1* g40[t]*g44n[t] - 171261372627*Sqrt[210]*lu1^2*g40[t]*g44n[t] - 702359727660*Sqrt[210]*lu1^3*g40[t]*g44n[t] + 69855867154473* Sqrt[210]*lu1^4*g40[t]*g44n[t] + 60677180399106*Sqrt[210]*lu1^5* g40[t]*g44n[t] - 8749920983829573*Sqrt[210]*lu1^6*g40[t]* g44n[t] - 5035793959900920*Sqrt[210]*lu1^7*g40[t]*g44n[t] + 364737967302626592*Sqrt[210]*lu1^8*g40[t]*g44n[t] + 379286297287744272*Sqrt[210]*lu1^9*g40[t]*g44n[t] - 4073732458455116880*Sqrt[210]*lu1^10*g40[t]*g44n[t] - 11239621123352678400*Sqrt[210]*lu1^11*g40[t]*g44n[t] - 9938951775910800000*Sqrt[210]*lu1^12*g40[t]*g44n[t] - 2683348426150560000*Sqrt[210]*lu1^13*g40[t]*g44n[t]) + 221*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]*(-129529274040*Sqrt[14]* f42n[t]*f44[t] + 8688197136240*Sqrt[14]*lu1*f42n[t]*f44[t] - 147968473467780*Sqrt[14]*lu1^2*f42n[t]*f44[t] - 2282724625597740*Sqrt[14]*lu1^3*f42n[t]*f44[t] + 42962298806309400*Sqrt[14]*lu1^4*f42n[t]*f44[t] + 225893012380461720*Sqrt[14]*lu1^5*f42n[t]*f44[t] + 732826395746291340*Sqrt[14]*lu1^6*f42n[t]*f44[t] - 10869136451128319580*Sqrt[14]*lu1^7*f42n[t]*f44[t] - 275936114643493596840*Sqrt[14]*lu1^8*f42n[t]*f44[t] - 423369480054804497280*Sqrt[14]*lu1^9*f42n[t]*f44[t] + 700426359998938200960*Sqrt[14]*lu1^10*f42n[t]*f44[t] + 1331986885750659816000*Sqrt[14]*lu1^11*f42n[t]*f44[t] + 458425968342281712000*Sqrt[14]*lu1^12*f42n[t]*f44[t] + 157621883414143680000*Sqrt[14]*lu1^13*f42n[t]*f44[t] - 38750122980*Sqrt[42]*f22[t]*f44n[t] + 3072500968320*Sqrt[42]*lu1* f22[t]*f44n[t] - 39164988274560*Sqrt[42]*lu1^2*f22[t]*f44n[t] - 1513787256057660*Sqrt[42]*lu1^3*f22[t]*f44n[t] + 26110209557467620*Sqrt[42]*lu1^4*f22[t]*f44n[t] + 132113294688173000*Sqrt[42]*lu1^5*f22[t]*f44n[t] - 1429412344990314120*Sqrt[42]*lu1^6*f22[t]*f44n[t] - 8692237739712803500*Sqrt[42]*lu1^7*f22[t]*f44n[t] - 44613077332931151160*Sqrt[42]*lu1^8*f22[t]*f44n[t] - 115704333140740134880*Sqrt[42]*lu1^9*f22[t]*f44n[t] - 25544570584454746240*Sqrt[42]*lu1^10*f22[t]*f44n[t] + 25412173792931332800*Sqrt[42]*lu1^11*f22[t]*f44n[t] - 148084658874820432000*Sqrt[42]*lu1^12*f22[t]*f44n[t] - 89939034598405440000*Sqrt[42]*lu1^13*f22[t]*f44n[t] + 129529274040*Sqrt[14]*f42[t]*f44n[t] - 8688197136240*Sqrt[14]*lu1* f42[t]*f44n[t] + 147968473467780*Sqrt[14]*lu1^2*f42[t]*f44n[t] + 2282724625597740*Sqrt[14]*lu1^3*f42[t]*f44n[t] - 42962298806309400*Sqrt[14]*lu1^4*f42[t]*f44n[t] - 225893012380461720*Sqrt[14]*lu1^5*f42[t]*f44n[t] - 732826395746291340*Sqrt[14]*lu1^6*f42[t]*f44n[t] + 10869136451128319580*Sqrt[14]*lu1^7*f42[t]*f44n[t] + 275936114643493596840*Sqrt[14]*lu1^8*f42[t]*f44n[t] + 423369480054804497280*Sqrt[14]*lu1^9*f42[t]*f44n[t] - 700426359998938200960*Sqrt[14]*lu1^10*f42[t]*f44n[t] - 1331986885750659816000*Sqrt[14]*lu1^11*f42[t]*f44n[t] - 458425968342281712000*Sqrt[14]*lu1^12*f42[t]*f44n[t] - 157621883414143680000*Sqrt[14]*lu1^13*f42[t]*f44n[t] + 76068430830*f42n[t]*g20[t] - 4872183970590*lu1*f42n[t]*g20[t] + 31150213830450*lu1^2*f42n[t]*g20[t] + 2496417754060350*lu1^3* f42n[t]*g20[t] - 20623242149216790*lu1^4*f42n[t]*g20[t] - 548504117726870650*lu1^5*f42n[t]*g20[t] + 2210832566471160750* lu1^6*f42n[t]*g20[t] + 52594625563623343490*lu1^7*f42n[t]* g20[t] + 91954875793955711720*lu1^8*f42n[t]*g20[t] - 494165995625998325320*lu1^9*f42n[t]*g20[t] - 1800668878801955993440*lu1^10*f42n[t]*g20[t] - 1312785765697615610400*lu1^11*f42n[t]*g20[t] + 852865407272784752000*lu1^12*f42n[t]*g20[t] + 867733386126850320000*lu1^13*f42n[t]*g20[t] + 3613863600*Sqrt[42]* f44n[t]*g22[t] - 681875251380*Sqrt[42]*lu1*f44n[t]*g22[t] + 12220140303540*Sqrt[42]*lu1^2*f44n[t]*g22[t] + 519617963483340*Sqrt[42]*lu1^3*f44n[t]*g22[t] - 7808350589742420*Sqrt[42]*lu1^4*f44n[t]*g22[t] - 119987254355458580*Sqrt[42]*lu1^5*f44n[t]*g22[t] + 889338301414725420*Sqrt[42]*lu1^6*f44n[t]*g22[t] + 11626248601907520820*Sqrt[42]*lu1^7*f44n[t]*g22[t] + 12627857555067636100*Sqrt[42]*lu1^8*f44n[t]*g22[t] - 61729527195972181880*Sqrt[42]*lu1^9*f44n[t]*g22[t] - 61538905667268385280*Sqrt[42]*lu1^10*f44n[t]*g22[t] + 235430955108511444800*Sqrt[42]*lu1^11*f44n[t]*g22[t] + 377409763508654392000*Sqrt[42]*lu1^12*f44n[t]*g22[t] + 130664867223822960000*Sqrt[42]*lu1^13*f44n[t]*g22[t] - 3613863600*Sqrt[42]*f44[t]*g22n[t] + 681875251380*Sqrt[42]*lu1* f44[t]*g22n[t] - 12220140303540*Sqrt[42]*lu1^2*f44[t]*g22n[t] - 519617963483340*Sqrt[42]*lu1^3*f44[t]*g22n[t] + 7808350589742420*Sqrt[42]*lu1^4*f44[t]*g22n[t] + 119987254355458580*Sqrt[42]*lu1^5*f44[t]*g22n[t] - 889338301414725420*Sqrt[42]*lu1^6*f44[t]*g22n[t] - 11626248601907520820*Sqrt[42]*lu1^7*f44[t]*g22n[t] - 12627857555067636100*Sqrt[42]*lu1^8*f44[t]*g22n[t] + 61729527195972181880*Sqrt[42]*lu1^9*f44[t]*g22n[t] + 61538905667268385280*Sqrt[42]*lu1^10*f44[t]*g22n[t] - 235430955108511444800*Sqrt[42]*lu1^11*f44[t]*g22n[t] - 377409763508654392000*Sqrt[42]*lu1^12*f44[t]*g22n[t] - 130664867223822960000*Sqrt[42]*lu1^13*f44[t]*g22n[t] + 386756370*Sqrt[3]*g20[t]*g22n[t] - 22187004840*Sqrt[3]*lu1*g20[t]* g22n[t] - 44072118090*Sqrt[3]*lu1^2*g20[t]*g22n[t] + 18432205892100*Sqrt[3]*lu1^3*g20[t]*g22n[t] - 131284257394290* Sqrt[3]*lu1^4*g20[t]*g22n[t] - 4036279438150960*Sqrt[3]*lu1^5* g20[t]*g22n[t] + 24749156850187770*Sqrt[3]*lu1^6*g20[t]*g22n[t] + 361608262485890420*Sqrt[3]*lu1^7*g20[t]*g22n[t] - 668817877386458800*Sqrt[3]*lu1^8*g20[t]*g22n[t] - 8465622439814219680*Sqrt[3]*lu1^9*g20[t]*g22n[t] - 12255771973871826400*Sqrt[3]*lu1^10*g20[t]*g22n[t] + 14815902127818792000*Sqrt[3]*lu1^11*g20[t]*g22n[t] + 43543180688047040000*Sqrt[3]*lu1^12*g20[t]*g22n[t] + 24796526516361600000*Sqrt[3]*lu1^13*g20[t]*g22n[t] + 18698239098*Sqrt[5]*f42n[t]*g40[t] + 3501327378978*Sqrt[5]*lu1* f42n[t]*g40[t] - 70377788837466*Sqrt[5]*lu1^2*f42n[t]*g40[t] - 1562976732137238*Sqrt[5]*lu1^3*f42n[t]*g40[t] + 7401796250185458*Sqrt[5]*lu1^4*f42n[t]*g40[t] + 55057576800381606*Sqrt[5]*lu1^5*f42n[t]*g40[t] + 160116845983290306*Sqrt[5]*lu1^6*f42n[t]*g40[t] + 94082308046238798*Sqrt[5]*lu1^7*f42n[t]*g40[t] + 959516510409170604*Sqrt[5]*lu1^8*f42n[t]*g40[t] - 24517218830498675424*Sqrt[5]*lu1^9*f42n[t]*g40[t] - 188686462522539833280*Sqrt[5]*lu1^10*f42n[t]*g40[t] - 434827154164096029600*Sqrt[5]*lu1^11*f42n[t]*g40[t] - 305942427613341288000*Sqrt[5]*lu1^12*f42n[t]*g40[t] - 8147327992261920000*Sqrt[5]*lu1^13*f42n[t]*g40[t] - 160033725*Sqrt[15]*g22n[t]*g40[t] - 2780525880*Sqrt[15]*lu1* g22n[t]*g40[t] + 152240189985*Sqrt[15]*lu1^2*g22n[t]*g40[t] + 11445101917290*Sqrt[15]*lu1^3*g22n[t]*g40[t] - 94073345141835*Sqrt[15]*lu1^4*g22n[t]*g40[t] - 2121254786109180* Sqrt[15]*lu1^5*g22n[t]*g40[t] - 7456335590170425*Sqrt[15]*lu1^6* g22n[t]*g40[t] + 70988017106163450*Sqrt[15]*lu1^7*g22n[t]* g40[t] + 1543428432894087120*Sqrt[15]*lu1^8*g22n[t]*g40[t] + 1492225795210342800*Sqrt[15]*lu1^9*g22n[t]*g40[t] - 18061863442525578000*Sqrt[15]*lu1^10*g22n[t]*g40[t] - 45175184783217228000*Sqrt[15]*lu1^11*g22n[t]*g40[t] - 33615959127484080000*Sqrt[15]*lu1^12*g22n[t]*g40[t] - 5970301358112000000*Sqrt[15]*lu1^13*g22n[t]*g40[t] + 2319269760*Sqrt[14]*f44n[t]*g42[t] + 606977200080*Sqrt[14]*lu1* f44n[t]*g42[t] - 24221710072080*Sqrt[14]*lu1^2*f44n[t]*g42[t] + 439570920078720*Sqrt[14]*lu1^3*f44n[t]*g42[t] + 11854280531007360*Sqrt[14]*lu1^4*f44n[t]*g42[t] + 20628638352435600*Sqrt[14]*lu1^5*f44n[t]*g42[t] - 1064822675117850000*Sqrt[14]*lu1^6*f44n[t]*g42[t] - 43962380333742240*Sqrt[14]*lu1^7*f44n[t]*g42[t] + 14656778329451479200*Sqrt[14]*lu1^8*f44n[t]*g42[t] + 13006905317648568000*Sqrt[14]*lu1^9*f44n[t]*g42[t] - 40637959374287001600*Sqrt[14]*lu1^10*f44n[t]*g42[t] - 49717869314878540800*Sqrt[14]*lu1^11*f44n[t]*g42[t] + 6115949010345024000*Sqrt[14]*lu1^12*f44n[t]*g42[t] + 13708678022363520000*Sqrt[14]*lu1^13*f44n[t]*g42[t] - 2319269760*Sqrt[14]*f44[t]*g42n[t] - 606977200080*Sqrt[14]*lu1* f44[t]*g42n[t] + 24221710072080*Sqrt[14]*lu1^2*f44[t]*g42n[t] - 439570920078720*Sqrt[14]*lu1^3*f44[t]*g42n[t] - 11854280531007360*Sqrt[14]*lu1^4*f44[t]*g42n[t] - 20628638352435600*Sqrt[14]*lu1^5*f44[t]*g42n[t] + 1064822675117850000*Sqrt[14]*lu1^6*f44[t]*g42n[t] + 43962380333742240*Sqrt[14]*lu1^7*f44[t]*g42n[t] - 14656778329451479200*Sqrt[14]*lu1^8*f44[t]*g42n[t] - 13006905317648568000*Sqrt[14]*lu1^9*f44[t]*g42n[t] + 40637959374287001600*Sqrt[14]*lu1^10*f44[t]*g42n[t] + 49717869314878540800*Sqrt[14]*lu1^11*f44[t]*g42n[t] - 6115949010345024000*Sqrt[14]*lu1^12*f44[t]*g42n[t] - 13708678022363520000*Sqrt[14]*lu1^13*f44[t]*g42n[t] + 450496485*g20[t]*g42n[t] + 155771266860*lu1*g20[t]*g42n[t] - 5137113829185*lu1^2*g20[t]*g42n[t] - 38019357359010*lu1^3*g20[t]* g42n[t] + 1862021753884575*lu1^4*g20[t]*g42n[t] + 3024066454933560*lu1^5*g20[t]*g42n[t] - 229485023004962655*lu1^6* g20[t]*g42n[t] - 221864819676462570*lu1^7*g20[t]*g42n[t] + 10209151443702471180*lu1^8*g20[t]*g42n[t] + 14604912019443028200* lu1^9*g20[t]*g42n[t] - 105412726272418191120*lu1^10*g20[t]* g42n[t] - 315636285796146223200*lu1^11*g20[t]*g42n[t] - 294893608355384664000*lu1^12*g20[t]*g42n[t] - 86422920885559440000* lu1^13*g20[t]*g42n[t] + 500145030*Sqrt[5]*g40[t]*g42n[t] - 67806680634*Sqrt[5]*lu1*g40[t]*g42n[t] + 988276113594*Sqrt[5]* lu1^2*g40[t]*g42n[t] + 28432362399210*Sqrt[5]*lu1^3*g40[t]* g42n[t] - 391793144216166*Sqrt[5]*lu1^4*g40[t]*g42n[t] - 3893576893649982*Sqrt[5]*lu1^5*g40[t]*g42n[t] + 34273786342161366*Sqrt[5]*lu1^6*g40[t]*g42n[t] + 182928316261320630*Sqrt[5]*lu1^7*g40[t]*g42n[t] - 839747272303702224*Sqrt[5]*lu1^8*g40[t]*g42n[t] - 3894803505503623944*Sqrt[5]*lu1^9*g40[t]*g42n[t] + 2870928362631178080*Sqrt[5]*lu1^10*g40[t]*g42n[t] + 29235460211751578400*Sqrt[5]*lu1^11*g40[t]*g42n[t] + 41002341746357376000*Sqrt[5]*lu1^12*g40[t]*g42n[t] + 16924194010841040000*Sqrt[5]*lu1^13*g40[t]*g42n[t] - 12*Sqrt[5]*f40[t]*(165*(-203562882 + 10782578412*lu1 - 120498754833*lu1^2 - 1516776149607*lu1^3 + 44035315891498* lu1^4 - 132567797796898*lu1^5 + 1415542215751147*lu1^6 - 4738394363792387*lu1^7 - 144469105129493522*lu1^8 - 477711383265481888*lu1^9 - 455948329678280800*lu1^10 + 236353158797066960*lu1^11 + 437390254465976800*lu1^12 + 32252472055664000*lu1^13)*f42n[t] - 5*Sqrt[3]* (15472593 - 3676059234*lu1 + 114679903104*lu1^2 + 1296712624736* lu1^3 - 31581554855814*lu1^4 - 1256854151663716*lu1^5 + 3550623511828760*lu1^6 + 213354747822684272*lu1^7 + 921508382215574429*lu1^8 + 753957181884343158*lu1^9 - 3916502560121395696*lu1^10 - 7501404094918008480*lu1^11 - 3170452578227494800*lu1^12 + 196559503069524000*lu1^13)* g22n[t] + 132*(6604065 - 1456252029*lu1 + 9358697154*lu1^2 + 1198373432620*lu1^3 + 563511274239*lu1^4 - 185001137879097* lu1^5 - 581478434998004*lu1^6 + 9086709670750710*lu1^7 + 15074149970997426*lu1^8 - 78682733657426044*lu1^9 - 112334679764177520*lu1^10 + 241517354731660800*lu1^11 + 470729769952100000*lu1^12 + 190069929229320000*lu1^13)* g42n[t]) - 12280619790*Sqrt[14]*f42n[t]*g44[t] - 1617046518870*Sqrt[14]*lu1*f42n[t]*g44[t] + 20166880871790* Sqrt[14]*lu1^2*f42n[t]*g44[t] + 1321210879483410*Sqrt[14]*lu1^3* f42n[t]*g44[t] + 4648674813885450*Sqrt[14]*lu1^4*f42n[t]*g44[t] - 84411722692518210*Sqrt[14]*lu1^5*f42n[t]*g44[t] - 1005642368723894310*Sqrt[14]*lu1^6*f42n[t]*g44[t] + 3769804279199316870*Sqrt[14]*lu1^7*f42n[t]*g44[t] + 18693906901928993340*Sqrt[14]*lu1^8*f42n[t]*g44[t] - 1803022673933766240*Sqrt[14]*lu1^9*f42n[t]*g44[t] - 111237150076813932480*Sqrt[14]*lu1^10*f42n[t]*g44[t] - 186740647023299565600*Sqrt[14]*lu1^11*f42n[t]*g44[t] - 36804240665410248000*Sqrt[14]*lu1^12*f42n[t]*g44[t] + 81428437776924000000*Sqrt[14]*lu1^13*f42n[t]*g44[t] + 118334925*Sqrt[42]*g22n[t]*g44[t] - 28591797960*Sqrt[42]*lu1* g22n[t]*g44[t] + 529871869215*Sqrt[42]*lu1^2*g22n[t]*g44[t] + 15634852418430*Sqrt[42]*lu1^3*g22n[t]*g44[t] - 248031066816045*Sqrt[42]*lu1^4*g22n[t]*g44[t] - 2519702208827940*Sqrt[42]*lu1^5*g22n[t]*g44[t] + 24972356532784905*Sqrt[42]*lu1^6*g22n[t]*g44[t] + 158832306594570030*Sqrt[42]*lu1^7*g22n[t]*g44[t] - 620882038878160440*Sqrt[42]*lu1^8*g22n[t]*g44[t] - 4615376700472170240*Sqrt[42]*lu1^9*g22n[t]*g44[t] - 4285435103465720880*Sqrt[42]*lu1^10*g22n[t]*g44[t] + 12730443963503148000*Sqrt[42]*lu1^11*g22n[t]*g44[t] + 26185250231315808000*Sqrt[42]*lu1^12*g22n[t]*g44[t] + 13158866630800800000*Sqrt[42]*lu1^13*g22n[t]*g44[t] + 191778030*Sqrt[14]*g42n[t]*g44[t] + 15957676350*Sqrt[14]*lu1* g42n[t]*g44[t] - 677541434670*Sqrt[14]*lu1^2*g42n[t]*g44[t] - 11134885946670*Sqrt[14]*lu1^3*g42n[t]*g44[t] + 315300378386610*Sqrt[14]*lu1^4*g42n[t]*g44[t] + 1643544297058410*Sqrt[14]*lu1^5*g42n[t]*g44[t] - 34845000478667010*Sqrt[14]*lu1^6*g42n[t]*g44[t] - 79947142667101170*Sqrt[14]*lu1^7*g42n[t]*g44[t] + 1201375999894299120*Sqrt[14]*lu1^8*g42n[t]*g44[t] + 2454945936486168600*Sqrt[14]*lu1^9*g42n[t]*g44[t] - 11149628589800278560*Sqrt[14]*lu1^10*g42n[t]*g44[t] - 39528140313452680800*Sqrt[14]*lu1^11*g42n[t]*g44[t] - 40093131651896448000*Sqrt[14]*lu1^12*g42n[t]*g44[t] - 11698739505678960000*Sqrt[14]*lu1^13*g42n[t]*g44[t] + 10*Sqrt[3]*f22n[t]*(6*Sqrt[5]*(547701507 - 16827838488*lu1 - 233329152120*lu1^2 + 16301044526213*lu1^3 - 455681672895683* lu1^4 + 5047294512859010*lu1^5 + 5502771194325630*lu1^6 - 461215567947722967*lu1^7 - 2619566908107158550*lu1^8 - 4327640946088351544*lu1^9 + 8339716475846900768*lu1^10 + 23052748463589522160*lu1^11 + 12971048022867266400*lu1^12 + 1256677137508464000*lu1^13)*f40[t] + 2*Sqrt[14]* (1937506149 - 153625048416*lu1 + 1958249413728*lu1^2 + 75689362802883*lu1^3 - 1305510477873381*lu1^4 - 6605664734408650*lu1^5 + 71470617249515706*lu1^6 + 434611886985640175*lu1^7 + 2230653866646557558*lu1^8 + 5785216657037006744*lu1^9 + 1277228529222737312*lu1^10 - 1270608689646566640*lu1^11 + 7404232943741021600*lu1^12 + 4496951729920272000*lu1^13)*f44[t] - 40934322*g20[t] + 23696663562*lu1*g20[t] - 545697315306*lu1^2*g20[t] - 16817176822446*lu1^3*g20[t] + 329778382507002*lu1^4*g20[t] + 1354765033324846*lu1^5*g20[t] - 28994448496373646*lu1^6*g20[t] + 39619566556836838*lu1^7*g20[t] + 936317427385205008*lu1^8* g20[t] + 3919122283626247984*lu1^9*g20[t] - 11956952397151979360*lu1^10*g20[t] - 34776536481184212000*lu1^11* g20[t] - 19671412608408704000*lu1^12*g20[t] - 1635407055522240000*lu1^13*g20[t] + 761104431*Sqrt[5]*g40[t] + 25912664235*Sqrt[5]*lu1*g40[t] - 850975005411*Sqrt[5]*lu1^2* g40[t] - 37410246425979*Sqrt[5]*lu1^3*g40[t] + 93039309087477*Sqrt[5]*lu1^4*g40[t] - 751150178641983*Sqrt[5]* lu1^5*g40[t] + 21828837829564635*Sqrt[5]*lu1^6*g40[t] + 16597460159096043*Sqrt[5]*lu1^7*g40[t] - 403660839782937948* Sqrt[5]*lu1^8*g40[t] - 1588018301041867116*Sqrt[5]*lu1^9* g40[t] - 375893151506338080*Sqrt[5]*lu1^10*g40[t] + 1373791908082144560*Sqrt[5]*lu1^11*g40[t] - 760333905614352000* Sqrt[5]*lu1^12*g40[t] - 990610321182552000*Sqrt[5]*lu1^13* g40[t] + 44383707*Sqrt[14]*g44[t] + 31447002519*Sqrt[14]*lu1* g44[t] - 610014325455*Sqrt[14]*lu1^2*g44[t] - 18532223597799*Sqrt[14]*lu1^3*g44[t] + 157717692236937*Sqrt[14]* lu1^4*g44[t] + 1200967700354373*Sqrt[14]*lu1^5*g44[t] - 6241867323316377*Sqrt[14]*lu1^6*g44[t] - 65420032410274665* Sqrt[14]*lu1^7*g44[t] + 277895877420476292*Sqrt[14]*lu1^8* g44[t] + 1378525260048615204*Sqrt[14]*lu1^9*g44[t] - 2582157113738954592*Sqrt[14]*lu1^10*g44[t] - 13393923965038991760*Sqrt[14]*lu1^11*g44[t] - 14865464378898729600*Sqrt[14]*lu1^12*g44[t] - 4975058074106232000*Sqrt[14]*lu1^13*g44[t]) - 443837070*Sqrt[42]*f22[t]*g44n[t] - 314470025190*Sqrt[42]*lu1* f22[t]*g44n[t] + 6100143254550*Sqrt[42]*lu1^2*f22[t]*g44n[t] + 185322235977990*Sqrt[42]*lu1^3*f22[t]*g44n[t] - 1577176922369370*Sqrt[42]*lu1^4*f22[t]*g44n[t] - 12009677003543730*Sqrt[42]*lu1^5*f22[t]*g44n[t] + 62418673233163770*Sqrt[42]*lu1^6*f22[t]*g44n[t] + 654200324102746650*Sqrt[42]*lu1^7*f22[t]*g44n[t] - 2778958774204762920*Sqrt[42]*lu1^8*f22[t]*g44n[t] - 13785252600486152040*Sqrt[42]*lu1^9*f22[t]*g44n[t] + 25821571137389545920*Sqrt[42]*lu1^10*f22[t]*g44n[t] + 133939239650389917600*Sqrt[42]*lu1^11*f22[t]*g44n[t] + 148654643788987296000*Sqrt[42]*lu1^12*f22[t]*g44n[t] + 49750580741062320000*Sqrt[42]*lu1^13*f22[t]*g44n[t] + 12280619790*Sqrt[14]*f42[t]*g44n[t] + 1617046518870*Sqrt[14]*lu1* f42[t]*g44n[t] - 20166880871790*Sqrt[14]*lu1^2*f42[t]*g44n[t] - 1321210879483410*Sqrt[14]*lu1^3*f42[t]*g44n[t] - 4648674813885450*Sqrt[14]*lu1^4*f42[t]*g44n[t] + 84411722692518210*Sqrt[14]*lu1^5*f42[t]*g44n[t] + 1005642368723894310*Sqrt[14]*lu1^6*f42[t]*g44n[t] - 3769804279199316870*Sqrt[14]*lu1^7*f42[t]*g44n[t] - 18693906901928993340*Sqrt[14]*lu1^8*f42[t]*g44n[t] + 1803022673933766240*Sqrt[14]*lu1^9*f42[t]*g44n[t] + 111237150076813932480*Sqrt[14]*lu1^10*f42[t]*g44n[t] + 186740647023299565600*Sqrt[14]*lu1^11*f42[t]*g44n[t] + 36804240665410248000*Sqrt[14]*lu1^12*f42[t]*g44n[t] - 81428437776924000000*Sqrt[14]*lu1^13*f42[t]*g44n[t] - 118334925*Sqrt[42]*g22[t]*g44n[t] + 28591797960*Sqrt[42]*lu1* g22[t]*g44n[t] - 529871869215*Sqrt[42]*lu1^2*g22[t]*g44n[t] - 15634852418430*Sqrt[42]*lu1^3*g22[t]*g44n[t] + 248031066816045*Sqrt[42]*lu1^4*g22[t]*g44n[t] + 2519702208827940*Sqrt[42]*lu1^5*g22[t]*g44n[t] - 24972356532784905*Sqrt[42]*lu1^6*g22[t]*g44n[t] - 158832306594570030*Sqrt[42]*lu1^7*g22[t]*g44n[t] + 620882038878160440*Sqrt[42]*lu1^8*g22[t]*g44n[t] + 4615376700472170240*Sqrt[42]*lu1^9*g22[t]*g44n[t] + 4285435103465720880*Sqrt[42]*lu1^10*g22[t]*g44n[t] - 12730443963503148000*Sqrt[42]*lu1^11*g22[t]*g44n[t] - 26185250231315808000*Sqrt[42]*lu1^12*g22[t]*g44n[t] - 13158866630800800000*Sqrt[42]*lu1^13*g22[t]*g44n[t] - 191778030*Sqrt[14]*g42[t]*g44n[t] - 15957676350*Sqrt[14]*lu1* g42[t]*g44n[t] + 677541434670*Sqrt[14]*lu1^2*g42[t]*g44n[t] + 11134885946670*Sqrt[14]*lu1^3*g42[t]*g44n[t] - 315300378386610*Sqrt[14]*lu1^4*g42[t]*g44n[t] - 1643544297058410*Sqrt[14]*lu1^5*g42[t]*g44n[t] + 34845000478667010*Sqrt[14]*lu1^6*g42[t]*g44n[t] + 79947142667101170*Sqrt[14]*lu1^7*g42[t]*g44n[t] - 1201375999894299120*Sqrt[14]*lu1^8*g42[t]*g44n[t] - 2454945936486168600*Sqrt[14]*lu1^9*g42[t]*g44n[t] + 11149628589800278560*Sqrt[14]*lu1^10*g42[t]*g44n[t] + 39528140313452680800*Sqrt[14]*lu1^11*g42[t]*g44n[t] + 40093131651896448000*Sqrt[14]*lu1^12*g42[t]*g44n[t] + 11698739505678960000*Sqrt[14]*lu1^13*g42[t]*g44n[t])))/ (102204102*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) + (-((-1 + 17*lu1)*Sqrt[3*Pi]*(675675*Sqrt[30]*(-18 + 201*lu1 + 2782*lu1^2 - 14467*lu1^3 - 42150*lu1^4 - 1508*lu1^5 + 12920*lu1^6)*f20[t]^2 - 300300*Sqrt[30]*(-18 + 201*lu1 + 2782*lu1^2 - 14467*lu1^3 - 42150*lu1^4 - 1508*lu1^5 + 12920*lu1^6)*f22[t]^2 + 14*Sqrt[10]*(6 - 29*lu1 - 63*lu1^2 + 38*lu1^3)*f22[t]*(-10*(-133981 + 8655693*lu1 + 97364598*lu1^2 + 71614010*lu1^3)*f42[t] + 33033*(1 + 10*lu1)^2* (-3 + 49*lu1 + 34*lu1^2)*g42[t]) + 5*Sqrt[3]*(-2 + lu1)*f20[t]* (420*Sqrt[2]*(-380 - 647081*lu1 - 2396727*lu1^2 + 14247894*lu1^3 + 110257058*lu1^4 + 73179860*lu1^5)*f40[t] - 56*Sqrt[35]* (24249 - 1746113*lu1 - 15896268*lu1^2 + 19607842*lu1^3 + 169163598*lu1^4 + 79929460*lu1^5)*f44[t] - 429*(1 + 10*lu1)^2* (9 - 204*lu1 + 829*lu1^2 + 646*lu1^3)*(55*Sqrt[10]*g20[t] - 45*Sqrt[2]*g40[t] + 6*Sqrt[35]*g44[t])) + 5*(150150*Sqrt[30]*(-18 + 201*lu1 + 2782*lu1^2 - 14467*lu1^3 - 42150*lu1^4 - 1508*lu1^5 + 12920*lu1^6)*f22n[t]^2 - 385*Sqrt[30]*(-11094 + 1045655*lu1 + 6124836*lu1^2 + 41882731*lu1^3 + 56079452*lu1^4 - 50347260*lu1^5 + 5503120*lu1^6)*f40[t]^2 - 15076068*Sqrt[30]*f42[t]^2 - 993473110*Sqrt[30]*lu1*f42[t]^2 - 6860633808*Sqrt[30]*lu1^2* f42[t]^2 + 71971775722*Sqrt[30]*lu1^3*f42[t]^2 + 111226581704*Sqrt[30]*lu1^4*f42[t]^2 - 98461917960*Sqrt[30]*lu1^5* f42[t]^2 + 12887912800*Sqrt[30]*lu1^6*f42[t]^2 + 27739320*Sqrt[30]*f42n[t]^2 + 1264497220*Sqrt[30]*lu1*f42n[t]^2 + 12573108520*Sqrt[30]*lu1^2*f42n[t]^2 - 1418862060*Sqrt[30]*lu1^3* f42n[t]^2 - 32352320840*Sqrt[30]*lu1^4*f42n[t]^2 - 3599350160*Sqrt[30]*lu1^5*f42n[t]^2 + 9239344800*Sqrt[30]*lu1^6* f42n[t]^2 - 2522520*Sqrt[21*Pi]*f44[t] + 28168140*lu1* Sqrt[21*Pi]*f44[t] + 389869480*lu1^2*Sqrt[21*Pi]*f44[t] - 2027405380*lu1^3*Sqrt[21*Pi]*f44[t] - 5906901000*lu1^4* Sqrt[21*Pi]*f44[t] - 211331120*lu1^5*Sqrt[21*Pi]*f44[t] + 1810608800*lu1^6*Sqrt[21*Pi]*f44[t] - 48275388*Sqrt[30]* f44[t]^2 - 1598294250*Sqrt[30]*lu1*f44[t]^2 - 19000419928*Sqrt[30]*lu1^2*f44[t]^2 - 34393558738*Sqrt[30]*lu1^3* f44[t]^2 + 4947313224*Sqrt[30]*lu1^4*f44[t]^2 + 59917515560*Sqrt[30]*lu1^5*f44[t]^2 - 25658164000*Sqrt[30]*lu1^6* f44[t]^2 - 48275388*Sqrt[30]*f44n[t]^2 - 1598294250*Sqrt[30]*lu1* f44n[t]^2 - 19000419928*Sqrt[30]*lu1^2*f44n[t]^2 - 34393558738*Sqrt[30]*lu1^3*f44n[t]^2 + 4947313224*Sqrt[30]*lu1^4* f44n[t]^2 + 59917515560*Sqrt[30]*lu1^5*f44n[t]^2 - 25658164000*Sqrt[30]*lu1^6*f44n[t]^2 + 495495*Sqrt[6*Pi]*g20[t] - 330330*lu1*Sqrt[6*Pi]*g20[t] - 132076945*lu1^2*Sqrt[6*Pi]* g20[t] - 433613180*lu1^3*Sqrt[6*Pi]*g20[t] + 4925880960*lu1^4* Sqrt[6*Pi]*g20[t] + 14107293200*lu1^5*Sqrt[6*Pi]*g20[t] + 7113106000*lu1^6*Sqrt[6*Pi]*g20[t] + 511524*Sqrt[105]*f44[t]* g20[t] + 7022990*Sqrt[105]*lu1*f44[t]*g20[t] - 123002204*Sqrt[105]*lu1^2*f44[t]*g20[t] - 2094162434*Sqrt[105]* lu1^3*f44[t]*g20[t] - 6319950988*Sqrt[105]*lu1^4*f44[t]*g20[t] + 4116144136*Sqrt[105]*lu1^5*f44[t]*g20[t] - 208853840*Sqrt[105]* lu1^6*f44[t]*g20[t] - 2897076*Sqrt[10]*f42[t]*g22[t] + 10769122*Sqrt[10]*lu1*f42[t]*g22[t] + 703140984*Sqrt[10]*lu1^2* f42[t]*g22[t] + 836851106*Sqrt[10]*lu1^3*f42[t]*g22[t] - 26239762640*Sqrt[10]*lu1^4*f42[t]*g22[t] - 37809012696*Sqrt[10]* lu1^5*f42[t]*g22[t] + 25315603040*Sqrt[10]*lu1^6*f42[t]*g22[t] - 5287776*Sqrt[10]*f42n[t]*g22n[t] + 29474432*Sqrt[10]*lu1*f42n[t]* g22n[t] + 846932424*Sqrt[10]*lu1^2*f42n[t]*g22n[t] + 1999835656*Sqrt[10]*lu1^3*f42n[t]*g22n[t] + 17953410800*Sqrt[10]* lu1^4*f42n[t]*g22n[t] + 2363653344*Sqrt[10]*lu1^5*f42n[t]* g22n[t] - 5973930560*Sqrt[10]*lu1^6*f42n[t]*g22n[t] - 81081*Sqrt[30*Pi]*g40[t] + 54054*lu1*Sqrt[30*Pi]*g40[t] + 21612591*lu1^2*Sqrt[30*Pi]*g40[t] + 70954884*lu1^3*Sqrt[30*Pi]* g40[t] - 806053248*lu1^4*Sqrt[30*Pi]*g40[t] - 2308466160*lu1^5* Sqrt[30*Pi]*g40[t] - 1163962800*lu1^6*Sqrt[30*Pi]*g40[t] + 560340*Sqrt[21]*f44[t]*g40[t] - 8436450*Sqrt[21]*lu1*f44[t]* g40[t] - 148159440*Sqrt[21]*lu1^2*f44[t]*g40[t] + 1291569510*Sqrt[21]*lu1^3*f44[t]*g40[t] + 14891601120*Sqrt[21]* lu1^4*f44[t]*g40[t] + 11057749560*Sqrt[21]*lu1^5*f44[t]*g40[t] - 9403706400*Sqrt[21]*lu1^6*f44[t]*g40[t] - 1282428*Sqrt[30]*f42[t]* g42[t] - 982842*Sqrt[30]*lu1*f42[t]*g42[t] + 379295280*Sqrt[30]* lu1^2*f42[t]*g42[t] + 1213766358*Sqrt[30]*lu1^3*f42[t]*g42[t] - 16798933032*Sqrt[30]*lu1^4*f42[t]*g42[t] - 26745362280*Sqrt[30]* lu1^5*f42[t]*g42[t] + 17397038400*Sqrt[30]*lu1^6*f42[t]*g42[t] - 272760*Sqrt[30]*f42n[t]*g42n[t] + 895100*Sqrt[30]*lu1*f42n[t]* g42n[t] + 44314920*Sqrt[30]*lu1^2*f42n[t]*g42n[t] + 235303180*Sqrt[30]*lu1^3*f42n[t]*g42n[t] + 1567513880*Sqrt[30]* lu1^4*f42n[t]*g42n[t] + 181268880*Sqrt[30]*lu1^5*f42n[t]* g42n[t] - 514719200*Sqrt[30]*lu1^6*f42n[t]*g42n[t] + 2*Sqrt[10]*(-6 - lu1 + 2*lu1^2)*f22n[t]* (14*(-4871 - 6260422*lu1 - 120005421*lu1^2 + 577509058*lu1^3 + 1422014360*lu1^4)*f42n[t] - 429*(1 + 10*lu1)^2*(3 - 70*lu1 + 323*lu1^2)*(55*Sqrt[3]*g22n[t] + 12*g42n[t])) + 54054*Sqrt[21*Pi]*g44[t] - 36036*lu1*Sqrt[21*Pi]*g44[t] - 14408394*lu1^2*Sqrt[21*Pi]*g44[t] - 47303256*lu1^3*Sqrt[21*Pi]* g44[t] + 537368832*lu1^4*Sqrt[21*Pi]*g44[t] + 1538977440*lu1^5* Sqrt[21*Pi]*g44[t] + 775975200*lu1^6*Sqrt[21*Pi]*g44[t] + 1360212*Sqrt[30]*f44[t]*g44[t] - 3185042*Sqrt[30]*lu1*f44[t]* g44[t] - 311514840*Sqrt[30]*lu1^2*f44[t]*g44[t] - 910756042*Sqrt[30]*lu1^3*f44[t]*g44[t] + 6752835208*Sqrt[30]* lu1^4*f44[t]*g44[t] + 14100242520*Sqrt[30]*lu1^5*f44[t]*g44[t] - 8604937600*Sqrt[30]*lu1^6*f44[t]*g44[t] - 5*Sqrt[3]*(-2 + lu1)* f40[t]*(6*lu1^3*(45643598*Sqrt[10*Pi] - 460795664*Sqrt[7]* f44[t] + 16594097*Sqrt[2]*g20[t] - 9587490*Sqrt[10]*g40[t] - 14880808*Sqrt[7]*g44[t]) + 3*(126126*Sqrt[10*Pi] + 3387412*Sqrt[7]*f44[t] + 48295*Sqrt[2]*g20[t] + 2013*Sqrt[10]* g40[t] - 5066*Sqrt[7]*g44[t]) + lu1*(-4036032*Sqrt[10*Pi] + 608535368*Sqrt[7]*f44[t] - 1318928*Sqrt[2]*g20[t] + 310530*Sqrt[10]*g40[t] + 696932*Sqrt[7]*g44[t]) - lu1^2*(60498438*Sqrt[10*Pi] - 5676807500*Sqrt[7]*f44[t] + 31070351*Sqrt[2]*g20[t] + 4341513*Sqrt[10]*g40[t] + 4213598*Sqrt[7]*g44[t]) + 40*lu1^5*(-101222464*Sqrt[7]* f44[t] + 17*(798798*Sqrt[10*Pi] + 3062813*Sqrt[2]*g20[t] + 866316*Sqrt[10]*g40[t] + 1884020*Sqrt[7]*g44[t])) + 4*lu1^4*(-5171669020*Sqrt[7]*f44[t] + 11*(23249226* Sqrt[10*Pi] + 35072141*Sqrt[2]*g20[t] + 3817077*Sqrt[10]* g40[t] + 11489470*Sqrt[7]*g44[t]))) + 1360212*Sqrt[30]* f44n[t]*g44n[t] - 3185042*Sqrt[30]*lu1*f44n[t]*g44n[t] - 311514840*Sqrt[30]*lu1^2*f44n[t]*g44n[t] - 910756042*Sqrt[30]* lu1^3*f44n[t]*g44n[t] + 6752835208*Sqrt[30]*lu1^4*f44n[t]* g44n[t] + 14100242520*Sqrt[30]*lu1^5*f44n[t]*g44n[t] - 8604937600*Sqrt[30]*lu1^6*f44n[t]*g44n[t]))) + 154*(3 + 8*lu1 + 4*lu1^2)*Sqrt[Pi]*(3003*(-3 + 13*lu1 + 38*lu1^2)* (-1 + 7*lu1 + 170*lu1^2)^2*Sqrt[Pi]*sc*g42[t] - mar*(960960*Sqrt[Pi]*f42n[t] - 22902880*lu1*Sqrt[Pi]*f42n[t] - 10250240*lu1^2*Sqrt[Pi]*f42n[t] + 2622940320*lu1^3*Sqrt[Pi]* f42n[t] - 7844636800*lu1^4*Sqrt[Pi]*f42n[t] - 25865840000*lu1^5* Sqrt[Pi]*f42n[t] + 9094140*f40[t]*f42n[t] - 148181220*lu1*f40[t]* f42n[t] + 1465364340*lu1^2*f40[t]*f42n[t] - 3350653020*lu1^3* f40[t]*f42n[t] - 14388422400*lu1^4*f40[t]*f42n[t] - 989406000*lu1^5*f40[t]*f42n[t] + 2480220*Sqrt[70]*f42n[t]*f44[t] - 40413060*Sqrt[70]*lu1*f42n[t]*f44[t] + 399644820*Sqrt[70]*lu1^2* f42n[t]*f44[t] - 913814460*Sqrt[70]*lu1^3*f42n[t]*f44[t] - 3924115200*Sqrt[70]*lu1^4*f42n[t]*f44[t] - 269838000*Sqrt[70]* lu1^5*f42n[t]*f44[t] + 179556*Sqrt[210]*f22[t]*f44n[t] - 5755880*Sqrt[210]*lu1*f22[t]*f44n[t] + 49806848*Sqrt[210]*lu1^2* f22[t]*f44n[t] + 241204704*Sqrt[210]*lu1^3*f22[t]*f44n[t] - 858633620*Sqrt[210]*lu1^4*f22[t]*f44n[t] - 1003155400*Sqrt[210]* lu1^5*f22[t]*f44n[t] - 2480220*Sqrt[70]*f42[t]*f44n[t] + 40413060*Sqrt[70]*lu1*f42[t]*f44n[t] - 399644820*Sqrt[70]*lu1^2* f42[t]*f44n[t] + 913814460*Sqrt[70]*lu1^3*f42[t]*f44n[t] + 3924115200*Sqrt[70]*lu1^4*f42[t]*f44n[t] + 269838000*Sqrt[70]* lu1^5*f42[t]*f44n[t] - 10140*Sqrt[5]*f42n[t]*g20[t] - 5199220*Sqrt[5]*lu1*f42n[t]*g20[t] + 39098020*Sqrt[5]*lu1^2* f42n[t]*g20[t] + 909332580*Sqrt[5]*lu1^3*f42n[t]*g20[t] - 199527640*Sqrt[5]*lu1^4*f42n[t]*g20[t] - 2852314400*Sqrt[5]*lu1^5* f42n[t]*g20[t] + 2535*Sqrt[210]*f44n[t]*g22[t] + 1299805*Sqrt[210]*lu1*f44n[t]*g22[t] - 9774505*Sqrt[210]*lu1^2* f44n[t]*g22[t] - 227333145*Sqrt[210]*lu1^3*f44n[t]*g22[t] + 49881910*Sqrt[210]*lu1^4*f44n[t]*g22[t] + 713078600*Sqrt[210]* lu1^5*f44n[t]*g22[t] + 38025*Sqrt[3]*f40[t]*g22n[t] + 19497075*Sqrt[3]*lu1*f40[t]*g22n[t] - 146617575*Sqrt[3]*lu1^2* f40[t]*g22n[t] - 3409997175*Sqrt[3]*lu1^3*f40[t]*g22n[t] + 748228650*Sqrt[3]*lu1^4*f40[t]*g22n[t] + 10696179000*Sqrt[3]*lu1^5* f40[t]*g22n[t] - 2535*Sqrt[210]*f44[t]*g22n[t] - 1299805*Sqrt[210]*lu1*f44[t]*g22n[t] + 9774505*Sqrt[210]*lu1^2* f44[t]*g22n[t] + 227333145*Sqrt[210]*lu1^3*f44[t]*g22n[t] - 49881910*Sqrt[210]*lu1^4*f44[t]*g22n[t] - 713078600*Sqrt[210]* lu1^5*f44[t]*g22n[t] + 4290*Sqrt[15]*g20[t]*g22n[t] - 30030*Sqrt[15]*lu1*g20[t]*g22n[t] - 1668810*Sqrt[15]*lu1^2*g20[t]* g22n[t] + 1471470*Sqrt[15]*lu1^3*g20[t]*g22n[t] + 195452400*Sqrt[15]*lu1^4*g20[t]*g22n[t] + 867867000*Sqrt[15]*lu1^5* g20[t]*g22n[t] + 524205*f42n[t]*g40[t] + 39195585*lu1*f42n[t]* g40[t] - 67226445*lu1^2*f42n[t]*g40[t] - 1536245865*lu1^3*f42n[t]* g40[t] + 635807700*lu1^4*f42n[t]*g40[t] + 6268432500*lu1^5* f42n[t]*g40[t] - 11700*Sqrt[3]*g22n[t]*g40[t] - 421980*Sqrt[3]*lu1*g22n[t]*g40[t] + 8396700*Sqrt[3]*lu1^2*g22n[t]* g40[t] + 74512620*Sqrt[3]*lu1^3*g22n[t]*g40[t] - 552809400*Sqrt[3]*lu1^4*g22n[t]*g40[t] - 1532856000*Sqrt[3]*lu1^5* g22n[t]*g40[t] - 142965*Sqrt[70]*f44n[t]*g42[t] - 10689705*Sqrt[70]*lu1*f44n[t]*g42[t] + 18334485*Sqrt[70]*lu1^2* f44n[t]*g42[t] + 418976145*Sqrt[70]*lu1^3*f44n[t]*g42[t] - 173402100*Sqrt[70]*lu1^4*f44n[t]*g42[t] - 1709572500*Sqrt[70]* lu1^5*f44n[t]*g42[t] + 60060*Sqrt[Pi]*g42n[t] + 2622620*lu1*Sqrt[Pi]*g42n[t] - 46586540*lu1^2*Sqrt[Pi]*g42n[t] - 453633180*lu1^3*Sqrt[Pi]*g42n[t] + 2855652800*lu1^4*Sqrt[Pi]* g42n[t] + 7113106000*lu1^5*Sqrt[Pi]*g42n[t] + 524205*f40[t]*g42n[t] + 39195585*lu1*f40[t]*g42n[t] - 67226445*lu1^2*f40[t]*g42n[t] - 1536245865*lu1^3*f40[t]*g42n[t] + 635807700*lu1^4*f40[t]*g42n[t] + 6268432500*lu1^5*f40[t]*g42n[t] + 142965*Sqrt[70]*f44[t]*g42n[t] + 10689705*Sqrt[70]*lu1*f44[t]* g42n[t] - 18334485*Sqrt[70]*lu1^2*f44[t]*g42n[t] - 418976145*Sqrt[70]*lu1^3*f44[t]*g42n[t] + 173402100*Sqrt[70]*lu1^4* f44[t]*g42n[t] + 1709572500*Sqrt[70]*lu1^5*f44[t]*g42n[t] + 3120*Sqrt[5]*g20[t]*g42n[t] + 112528*Sqrt[5]*lu1*g20[t]*g42n[t] - 2239120*Sqrt[5]*lu1^2*g20[t]*g42n[t] - 19870032*Sqrt[5]*lu1^3* g20[t]*g42n[t] + 147415840*Sqrt[5]*lu1^4*g20[t]*g42n[t] + 408761600*Sqrt[5]*lu1^5*g20[t]*g42n[t] - 8910*g40[t]*g42n[t] - 389070*lu1*g40[t]*g42n[t] + 6911190*lu1^2*g40[t]*g42n[t] + 67297230*lu1^3*g40[t]*g42n[t] - 423640800*lu1^4*g40[t]*g42n[t] - 1055241000*lu1^5*g40[t]*g42n[t] + 13*Sqrt[5]*f20[t]* (1320*Sqrt[3]*(-13 + 489*lu1 - 1643*lu1^2 - 64021*lu1^3 + 208200* lu1^4 + 651100*lu1^5)*f22n[t] + 16*(-3453 + 110690*lu1 - 957824*lu1^2 - 4638552*lu1^3 + 16512185*lu1^4 + 19291450* lu1^5)*f42n[t] + 1815*Sqrt[3]*g22n[t] - 106865*Sqrt[3]*lu1* g22n[t] + 492965*Sqrt[3]*lu1^2*g22n[t] + 16438785*Sqrt[3]*lu1^3* g22n[t] - 34205600*Sqrt[3]*lu1^4*g22n[t] - 242819500*Sqrt[3]* lu1^5*g22n[t] - 5580*g42n[t] - 321972*lu1*g42n[t] + 2120964*lu1^2*g42n[t] + 9249156*lu1^3*g42n[t] - 37137480*lu1^4*g42n[t] - 114283200*lu1^5*g42n[t]) + 142965*Sqrt[70]*f42n[t]*g44[t] + 10689705*Sqrt[70]*lu1*f42n[t]* g44[t] - 18334485*Sqrt[70]*lu1^2*f42n[t]*g44[t] - 418976145*Sqrt[70]*lu1^3*f42n[t]*g44[t] + 173402100*Sqrt[70]*lu1^4* f42n[t]*g44[t] + 1709572500*Sqrt[70]*lu1^5*f42n[t]*g44[t] + 780*Sqrt[210]*g22n[t]*g44[t] + 28132*Sqrt[210]*lu1*g22n[t]* g44[t] - 559780*Sqrt[210]*lu1^2*g22n[t]*g44[t] - 4967508*Sqrt[210]*lu1^3*g22n[t]*g44[t] + 36853960*Sqrt[210]*lu1^4* g22n[t]*g44[t] + 102190400*Sqrt[210]*lu1^5*g22n[t]*g44[t] - 2430*Sqrt[70]*g42n[t]*g44[t] - 106110*Sqrt[70]*lu1*g42n[t]* g44[t] + 1884870*Sqrt[70]*lu1^2*g42n[t]*g44[t] + 18353790*Sqrt[70]*lu1^3*g42n[t]*g44[t] - 115538400*Sqrt[70]*lu1^4* g42n[t]*g44[t] - 287793000*Sqrt[70]*lu1^5*g42n[t]*g44[t] - 13*Sqrt[3]*f22n[t]*(60*(-3453 + 110690*lu1 - 957824*lu1^2 - 4638552*lu1^3 + 16512185*lu1^4 + 19291450*lu1^5)*f40[t] - 4*Sqrt[70]*(-3453 + 110690*lu1 - 957824*lu1^2 - 4638552*lu1^3 + 16512185*lu1^4 + 19291450*lu1^5)*f44[t] - 1815*Sqrt[5]* g20[t] + 106865*Sqrt[5]*lu1*g20[t] - 492965*Sqrt[5]*lu1^2* g20[t] - 16438785*Sqrt[5]*lu1^3*g20[t] + 34205600*Sqrt[5]*lu1^4* g20[t] + 242819500*Sqrt[5]*lu1^5*g20[t] - 20925*g40[t] - 1207395*lu1*g40[t] + 7953615*lu1^2*g40[t] + 34684335*lu1^3* g40[t] - 139265550*lu1^4*g40[t] - 428562000*lu1^5*g40[t] + 1395*Sqrt[70]*g44[t] + 80493*Sqrt[70]*lu1*g44[t] - 530241*Sqrt[70]*lu1^2*g44[t] - 2312289*Sqrt[70]*lu1^3*g44[t] + 9284370*Sqrt[70]*lu1^4*g44[t] + 28570800*Sqrt[70]*lu1^5* g44[t]) + 18135*Sqrt[210]*f22[t]*g44n[t] + 1046409*Sqrt[210]* lu1*f22[t]*g44n[t] - 6893133*Sqrt[210]*lu1^2*f22[t]*g44n[t] - 30059757*Sqrt[210]*lu1^3*f22[t]*g44n[t] + 120696810*Sqrt[210]* lu1^4*f22[t]*g44n[t] + 371420400*Sqrt[210]*lu1^5*f22[t]*g44n[t] - 142965*Sqrt[70]*f42[t]*g44n[t] - 10689705*Sqrt[70]*lu1*f42[t]* g44n[t] + 18334485*Sqrt[70]*lu1^2*f42[t]*g44n[t] + 418976145*Sqrt[70]*lu1^3*f42[t]*g44n[t] - 173402100*Sqrt[70]*lu1^4* f42[t]*g44n[t] - 1709572500*Sqrt[70]*lu1^5*f42[t]*g44n[t] - 780*Sqrt[210]*g22[t]*g44n[t] - 28132*Sqrt[210]*lu1*g22[t]* g44n[t] + 559780*Sqrt[210]*lu1^2*g22[t]*g44n[t] + 4967508*Sqrt[210]*lu1^3*g22[t]*g44n[t] - 36853960*Sqrt[210]*lu1^4* g22[t]*g44n[t] - 102190400*Sqrt[210]*lu1^5*g22[t]*g44n[t] + 2430*Sqrt[70]*g42[t]*g44n[t] + 106110*Sqrt[70]*lu1*g42[t]* g44n[t] - 1884870*Sqrt[70]*lu1^2*g42[t]*g44n[t] - 18353790*Sqrt[70]*lu1^3*g42[t]*g44n[t] + 115538400*Sqrt[70]*lu1^4* g42[t]*g44n[t] + 287793000*Sqrt[70]*lu1^5*g42[t]*g44n[t]) + 2*cap*(26*Sqrt[5]*f20[t]*(110*Sqrt[3]*(-27 + 511*lu1 + 1043*lu1^2 - 49779*lu1^3 + 248440*lu1^4 + 695300*lu1^5)*f22n[t] + 3*(4*(-1530 + 11231*lu1 - 123201*lu1^2 + 1175199*lu1^3 + 5622155*lu1^4 + 275250*lu1^5)*f42n[t] - (-1 + 3*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*(55*Sqrt[3]*g22n[t] + 12*g42n[t]))) - 3*(-180180*Sqrt[Pi]*f42n[t] + 2942940*lu1*Sqrt[Pi]*f42n[t] + 17237220*lu1^2*Sqrt[Pi]*f42n[t] - 285945660*lu1^3*Sqrt[Pi]*f42n[t] + 355555200*lu1^4*Sqrt[Pi]* f42n[t] + 1939938000*lu1^5*Sqrt[Pi]*f42n[t] - 1894860*f40[t]*f42n[t] + 477180*lu1*f40[t]*f42n[t] - 212725260*lu1^2*f40[t]*f42n[t] + 1318305780*lu1^3*f40[t]* f42n[t] + 3209401800*lu1^4*f40[t]*f42n[t] - 624492000*lu1^5* f40[t]*f42n[t] - 516780*Sqrt[70]*f42n[t]*f44[t] + 130140*Sqrt[70]*lu1*f42n[t]*f44[t] - 58015980*Sqrt[70]*lu1^2* f42n[t]*f44[t] + 359537940*Sqrt[70]*lu1^3*f42n[t]*f44[t] + 875291400*Sqrt[70]*lu1^4*f42n[t]*f44[t] - 170316000*Sqrt[70]* lu1^5*f42n[t]*f44[t] - 39780*Sqrt[210]*f22[t]*f44n[t] + 292006*Sqrt[210]*lu1*f22[t]*f44n[t] - 3203226*Sqrt[210]*lu1^2* f22[t]*f44n[t] + 30555174*Sqrt[210]*lu1^3*f22[t]*f44n[t] + 146176030*Sqrt[210]*lu1^4*f22[t]*f44n[t] + 7156500*Sqrt[210]* lu1^5*f22[t]*f44n[t] + 516780*Sqrt[70]*f42[t]*f44n[t] - 130140*Sqrt[70]*lu1*f42[t]*f44n[t] + 58015980*Sqrt[70]*lu1^2* f42[t]*f44n[t] - 359537940*Sqrt[70]*lu1^3*f42[t]*f44n[t] - 875291400*Sqrt[70]*lu1^4*f42[t]*f44n[t] + 170316000*Sqrt[70]* lu1^5*f42[t]*f44n[t] - 7956*Sqrt[5]*f42n[t]*g20[t] + 129948*Sqrt[5]*lu1*f42n[t]*g20[t] + 761124*Sqrt[5]*lu1^2*f42n[t]* g20[t] - 12626172*Sqrt[5]*lu1^3*f42n[t]*g20[t] + 15699840*Sqrt[5]*lu1^4*f42n[t]*g20[t] + 85659600*Sqrt[5]*lu1^5* f42n[t]*g20[t] + 1989*Sqrt[210]*f44n[t]*g22[t] - 32487*Sqrt[210]*lu1*f44n[t]*g22[t] - 190281*Sqrt[210]*lu1^2* f44n[t]*g22[t] + 3156543*Sqrt[210]*lu1^3*f44n[t]*g22[t] - 3924960*Sqrt[210]*lu1^4*f44n[t]*g22[t] - 21414900*Sqrt[210]* lu1^5*f44n[t]*g22[t] + 29835*Sqrt[3]*f40[t]*g22n[t] - 487305*Sqrt[3]*lu1*f40[t]*g22n[t] - 2854215*Sqrt[3]*lu1^2*f40[t]* g22n[t] + 47348145*Sqrt[3]*lu1^3*f40[t]*g22n[t] - 58874400*Sqrt[3]*lu1^4*f40[t]*g22n[t] - 321223500*Sqrt[3]*lu1^5* f40[t]*g22n[t] - 1989*Sqrt[210]*f44[t]*g22n[t] + 32487*Sqrt[210]*lu1*f44[t]*g22n[t] + 190281*Sqrt[210]*lu1^2* f44[t]*g22n[t] - 3156543*Sqrt[210]*lu1^3*f44[t]*g22n[t] + 3924960*Sqrt[210]*lu1^4*f44[t]*g22n[t] + 21414900*Sqrt[210]* lu1^5*f44[t]*g22n[t] + 13365*f42n[t]*g40[t] - 218295*lu1*f42n[t]*g40[t] - 1278585*lu1^2*f42n[t]*g40[t] + 21210255*lu1^3*f42n[t]*g40[t] - 26373600*lu1^4*f42n[t]*g40[t] - 143896500*lu1^5*f42n[t]*g40[t] - 3645*Sqrt[70]*f44n[t]*g42[t] + 59535*Sqrt[70]*lu1*f44n[t]*g42[t] + 348705*Sqrt[70]*lu1^2* f44n[t]*g42[t] - 5784615*Sqrt[70]*lu1^3*f44n[t]*g42[t] + 7192800*Sqrt[70]*lu1^4*f44n[t]*g42[t] + 39244500*Sqrt[70]*lu1^5* f44n[t]*g42[t] + 13365*f40[t]*g42n[t] - 218295*lu1*f40[t]* g42n[t] - 1278585*lu1^2*f40[t]*g42n[t] + 21210255*lu1^3*f40[t]* g42n[t] - 26373600*lu1^4*f40[t]*g42n[t] - 143896500*lu1^5* f40[t]*g42n[t] + 3645*Sqrt[70]*f44[t]*g42n[t] - 59535*Sqrt[70]*lu1*f44[t]*g42n[t] - 348705*Sqrt[70]*lu1^2*f44[t]* g42n[t] + 5784615*Sqrt[70]*lu1^3*f44[t]*g42n[t] - 7192800*Sqrt[70]*lu1^4*f44[t]*g42n[t] - 39244500*Sqrt[70]*lu1^5* f44[t]*g42n[t] + 3645*Sqrt[70]*f42n[t]*g44[t] - 59535*Sqrt[70]*lu1*f42n[t]*g44[t] - 348705*Sqrt[70]*lu1^2* f42n[t]*g44[t] + 5784615*Sqrt[70]*lu1^3*f42n[t]*g44[t] - 7192800*Sqrt[70]*lu1^4*f42n[t]*g44[t] - 39244500*Sqrt[70]*lu1^5* f42n[t]*g44[t] + 26*Sqrt[3]*f22n[t]*(15*(-1530 + 11231*lu1 - 123201*lu1^2 + 1175199*lu1^3 + 5622155*lu1^4 + 275250*lu1^5)* f40[t] - Sqrt[70]*(-1530 + 11231*lu1 - 123201*lu1^2 + 1175199*lu1^3 + 5622155*lu1^4 + 275250*lu1^5)*f44[t] + (-1 + 3*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(55*Sqrt[5]*g20[t] - 45*g40[t] + 3*Sqrt[70]*g44[t])) + 78*Sqrt[210]*f22[t]* g44n[t] - 1326*Sqrt[210]*lu1*f22[t]*g44n[t] - 19422*Sqrt[210]*lu1^2*f22[t]*g44n[t] + 253734*Sqrt[210]*lu1^3* f22[t]*g44n[t] + 1697280*Sqrt[210]*lu1^4*f22[t]*g44n[t] - 6762600*Sqrt[210]*lu1^5*f22[t]*g44n[t] - 3645*Sqrt[70]*f42[t]* g44n[t] + 59535*Sqrt[70]*lu1*f42[t]*g44n[t] + 348705*Sqrt[70]*lu1^2*f42[t]*g44n[t] - 5784615*Sqrt[70]*lu1^3* f42[t]*g44n[t] + 7192800*Sqrt[70]*lu1^4*f42[t]*g44n[t] + 39244500*Sqrt[70]*lu1^5*f42[t]*g44n[t]))))/ (462462*(-9 + 51*lu1 + 38*lu1^2)*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)^2* Pi) + (2*cap*(-3440812968450*Sqrt[3]*f22n[t]^3 + 139866109747650*Sqrt[3]*lu1*f22n[t]^3 + 8366282528110650*Sqrt[3]* lu1^2*f22n[t]^3 - 287806268042671950*Sqrt[3]*lu1^3*f22n[t]^3 - 3031510095817052850*Sqrt[3]*lu1^4*f22n[t]^3 + 93130261637500122750* Sqrt[3]*lu1^5*f22n[t]^3 - 811198412920333945650*Sqrt[3]*lu1^6* f22n[t]^3 + 10698675156073554056550*Sqrt[3]*lu1^7*f22n[t]^3 + 193773472279061031743100*Sqrt[3]*lu1^8*f22n[t]^3 - 2171492159620584974230200*Sqrt[3]*lu1^9*f22n[t]^3 - 13855420380408151630285200*Sqrt[3]*lu1^10*f22n[t]^3 + 7753520786501998891125600*Sqrt[3]*lu1^11*f22n[t]^3 + 138625311157887468894408000*Sqrt[3]*lu1^12*f22n[t]^3 + 249239774417051753340720000*Sqrt[3]*lu1^13*f22n[t]^3 + 166506558554250009295200000*Sqrt[3]*lu1^14*f22n[t]^3 + 38150703252519569712000000*Sqrt[3]*lu1^15*f22n[t]^3 - 4599530377650*Sqrt[3]*f22n[t]*f40[t]^2 - 86440877506035*Sqrt[3]*lu1* f22n[t]*f40[t]^2 + 25222537636796565*Sqrt[3]*lu1^2*f22n[t]* f40[t]^2 + 273754923196001715*Sqrt[3]*lu1^3*f22n[t]*f40[t]^2 - 32929476015930490815*Sqrt[3]*lu1^4*f22n[t]*f40[t]^2 - 223787248420775930475*Sqrt[3]*lu1^5*f22n[t]*f40[t]^2 + 5634916487013585611775*Sqrt[3]*lu1^6*f22n[t]*f40[t]^2 + 1828756179943114098105*Sqrt[3]*lu1^7*f22n[t]*f40[t]^2 - 2148872699065976486686395*Sqrt[3]*lu1^8*f22n[t]*f40[t]^2 - 4541048743110043315443630*Sqrt[3]*lu1^9*f22n[t]*f40[t]^2 + 3782200700290814985073800*Sqrt[3]*lu1^10*f22n[t]*f40[t]^2 + 24859853506533872734103040*Sqrt[3]*lu1^11*f22n[t]*f40[t]^2 + 50167666524397030122618000*Sqrt[3]*lu1^12*f22n[t]*f40[t]^2 - 25974351491482105278060000*Sqrt[3]*lu1^13*f22n[t]*f40[t]^2 - 107967194884235951802720000*Sqrt[3]*lu1^14*f22n[t]*f40[t]^2 - 35445764873356708852800000*Sqrt[3]*lu1^15*f22n[t]*f40[t]^2 + 25086009041730*Sqrt[3]*f22n[t]*f42[t]^2 - 505852018229610*Sqrt[3]*lu1* f22n[t]*f42[t]^2 - 66116591985349620*Sqrt[3]*lu1^2*f22n[t]* f42[t]^2 + 34566793398889830*Sqrt[3]*lu1^3*f22n[t]*f42[t]^2 + 21293352928269364020*Sqrt[3]*lu1^4*f22n[t]*f42[t]^2 + 1447450349233446550590*Sqrt[3]*lu1^5*f22n[t]*f42[t]^2 + 25494973249494794816940*Sqrt[3]*lu1^6*f22n[t]*f42[t]^2 - 100602919785342950982630*Sqrt[3]*lu1^7*f22n[t]*f42[t]^2 - 775069343291881580210190*Sqrt[3]*lu1^8*f22n[t]*f42[t]^2 - 17862820209352116283464660*Sqrt[3]*lu1^9*f22n[t]*f42[t]^2 + 89436109401130946756415360*Sqrt[3]*lu1^10*f22n[t]*f42[t]^2 + 240101782173608600389797120*Sqrt[3]*lu1^11*f22n[t]*f42[t]^2 - 411209936667878874021830880*Sqrt[3]*lu1^12*f22n[t]*f42[t]^2 - 1012974744040907397941256000*Sqrt[3]*lu1^13*f22n[t]*f42[t]^2 - 482885291754872855555616000*Sqrt[3]*lu1^14*f22n[t]*f42[t]^2 - 101843977878358139773440000*Sqrt[3]*lu1^15*f22n[t]*f42[t]^2 + 120493813131900*f22n[t]^2*f42n[t] - 2731148227904850*lu1*f22n[t]^2* f42n[t] - 298505427072947640*lu1^2*f22n[t]^2*f42n[t] + 1920833202475522530*lu1^3*f22n[t]^2*f42n[t] + 86517350095431187140* lu1^4*f22n[t]^2*f42n[t] + 4024048387615134000330*lu1^5*f22n[t]^2* f42n[t] + 36888936876527856775200*lu1^6*f22n[t]^2*f42n[t] - 1360134591770179430950290*lu1^7*f22n[t]^2*f42n[t] + 1152885301715767130333160*lu1^8*f22n[t]^2*f42n[t] + 49415227766645243545369080*lu1^9*f22n[t]^2*f42n[t] - 101683632439303629807602640*lu1^10*f22n[t]^2*f42n[t] - 492833273163461806373491200*lu1^11*f22n[t]^2*f42n[t] + 8973107498414855509908480*lu1^12*f22n[t]^2*f42n[t] + 686935585531124872355836800*lu1^13*f22n[t]^2*f42n[t] + 156590400314597515759584000*lu1^14*f22n[t]^2*f42n[t] - 118509860741618731694400000*lu1^15*f22n[t]^2*f42n[t] - 27892453382325*f40[t]^2*f42n[t] + 14930975020905045*lu1*f40[t]^2* f42n[t] - 396237051916114095*lu1^2*f40[t]^2*f42n[t] - 48478248383947800795*lu1^3*f40[t]^2*f42n[t] + 1389788138935151577315* lu1^4*f40[t]^2*f42n[t] + 32740141126340495136915*lu1^5*f40[t]^2* f42n[t] - 477225965256879098083725*lu1^6*f40[t]^2*f42n[t] - 4913779500031162108898985*lu1^7*f40[t]^2*f42n[t] + 19682398480643055482942310*lu1^8*f40[t]^2*f42n[t] + 48799675128687832895585580*lu1^9*f40[t]^2*f42n[t] + 62421746891952796324747080*lu1^10*f40[t]^2*f42n[t] + 1806743009691622572428561520*lu1^11*f40[t]^2*f42n[t] + 5823025962487380297557292960*lu1^12*f40[t]^2*f42n[t] + 5495373190042018023207259200*lu1^13*f40[t]^2*f42n[t] + 644803736355612236565456000*lu1^14*f40[t]^2*f42n[t] - 638798730014988495691200000*lu1^15*f40[t]^2*f42n[t] + 614175706155942*f42[t]^2*f42n[t] + 12611431235005002*lu1*f42[t]^2* f42n[t] - 1476474176821481406*lu1^2*f42[t]^2*f42n[t] - 78063354585371370150*lu1^3*f42[t]^2*f42n[t] + 232579687948876243782* lu1^4*f42[t]^2*f42n[t] + 62316507357175685374998*lu1^5*f42[t]^2* f42n[t] + 9912671087977506786534*lu1^6*f42[t]^2*f42n[t] - 4913237780856240217115106*lu1^7*f42[t]^2*f42n[t] + 20468478590935496084293500*lu1^8*f42[t]^2*f42n[t] - 78381283222969070983457976*lu1^9*f42[t]^2*f42n[t] - 292807219593786050162125392*lu1^10*f42[t]^2*f42n[t] + 2277341792199967985285399520*lu1^11*f42[t]^2*f42n[t] + 7937976285014157011877371712*lu1^12*f42[t]^2*f42n[t] + 7145788985593133854688442240*lu1^13*f42[t]^2*f42n[t] + 559796019830487068507155200*lu1^14*f42[t]^2*f42n[t] - 930850094002223794412160000*lu1^15*f42[t]^2*f42n[t] + 87151859847000*Sqrt[3]*f22n[t]*f42n[t]^2 - 951751169392140*Sqrt[3]* lu1*f22n[t]*f42n[t]^2 - 245899066881782340*Sqrt[3]*lu1^2*f22n[t]* f42n[t]^2 - 1319281194075275340*Sqrt[3]*lu1^3*f22n[t]*f42n[t]^2 + 129073172740647355740*Sqrt[3]*lu1^4*f22n[t]*f42n[t]^2 + 3963516481179046775100*Sqrt[3]*lu1^5*f22n[t]*f42n[t]^2 - 18437920620184004319900*Sqrt[3]*lu1^6*f22n[t]*f42n[t]^2 - 877826608542396470857380*Sqrt[3]*lu1^7*f22n[t]*f42n[t]^2 + 2852027043352704970513020*Sqrt[3]*lu1^8*f22n[t]*f42n[t]^2 + 49134229057973194410300480*Sqrt[3]*lu1^9*f22n[t]*f42n[t]^2 + 65479678767581110763218800*Sqrt[3]*lu1^10*f22n[t]*f42n[t]^2 - 85771044035410849756467840*Sqrt[3]*lu1^11*f22n[t]*f42n[t]^2 - 138071342587275920031019200*Sqrt[3]*lu1^12*f22n[t]*f42n[t]^2 + 5751596753965754180736000*Sqrt[3]*lu1^13*f22n[t]*f42n[t]^2 + 22092543024442195861920000*Sqrt[3]*lu1^14*f22n[t]*f42n[t]^2 - 7285604206806674985600000*Sqrt[3]*lu1^15*f22n[t]*f42n[t]^2 + 614175706155942*f42n[t]^3 + 12611431235005002*lu1*f42n[t]^3 - 1476474176821481406*lu1^2*f42n[t]^3 - 78063354585371370150*lu1^3* f42n[t]^3 + 232579687948876243782*lu1^4*f42n[t]^3 + 62316507357175685374998*lu1^5*f42n[t]^3 + 9912671087977506786534* lu1^6*f42n[t]^3 - 4913237780856240217115106*lu1^7*f42n[t]^3 + 20468478590935496084293500*lu1^8*f42n[t]^3 - 78381283222969070983457976*lu1^9*f42n[t]^3 - 292807219593786050162125392*lu1^10*f42n[t]^3 + 2277341792199967985285399520*lu1^11*f42n[t]^3 + 7937976285014157011877371712*lu1^12*f42n[t]^3 + 7145788985593133854688442240*lu1^13*f42n[t]^3 + 559796019830487068507155200*lu1^14*f42n[t]^3 - 930850094002223794412160000*lu1^15*f42n[t]^3 + 27080979900390*Sqrt[210]*f22n[t]*f40[t]*f44[t] - 245677342881906*Sqrt[210]*lu1*f22n[t]*f40[t]*f44[t] - 79104074319874656*Sqrt[210]*lu1^2*f22n[t]*f40[t]*f44[t] - 492268694748702066*Sqrt[210]*lu1^3*f22n[t]*f40[t]*f44[t] + 46512591879906832056*Sqrt[210]*lu1^4*f22n[t]*f40[t]*f44[t] + 1200128743530770584830*Sqrt[210]*lu1^5*f22n[t]*f40[t]*f44[t] - 9980511276585393861720*Sqrt[210]*lu1^6*f22n[t]*f40[t]*f44[t] - 281755879525528382682942*Sqrt[210]*lu1^7*f22n[t]*f40[t]*f44[t] + 1418816310206173207827498*Sqrt[210]*lu1^8*f22n[t]*f40[t]*f44[t] + 19170131708027529868786212*Sqrt[210]*lu1^9*f22n[t]*f40[t]*f44[t] + 11216822864571897950791440*Sqrt[210]*lu1^10*f22n[t]*f40[t]*f44[t] - 59687853321143927337085056*Sqrt[210]*lu1^11*f22n[t]*f40[t]*f44[t] - 9252484170331570474157280*Sqrt[210]*lu1^12*f22n[t]*f40[t]*f44[t] + 119087610743241780992040000*Sqrt[210]*lu1^13*f22n[t]*f40[t]*f44[t] + 80212270293664107336192000*Sqrt[210]*lu1^14*f22n[t]*f40[t]*f44[t] + 15188932117256538775680000*Sqrt[210]*lu1^15*f22n[t]*f40[t]*f44[t] + 41017996709424*Sqrt[70]*f40[t]*f42n[t]*f44[t] - 1056154212661536*Sqrt[70]*lu1*f40[t]*f42n[t]*f44[t] - 41877555489137952*Sqrt[70]*lu1^2*f40[t]*f42n[t]*f44[t] + 1156722990766789680*Sqrt[70]*lu1^3*f40[t]*f42n[t]*f44[t] - 155938566729883280256*Sqrt[70]*lu1^4*f40[t]*f42n[t]*f44[t] - 193700503806447238704*Sqrt[70]*lu1^5*f40[t]*f42n[t]*f44[t] + 59042730710310349160448*Sqrt[70]*lu1^6*f40[t]*f42n[t]*f44[t] + 300876809339148000041808*Sqrt[70]*lu1^7*f40[t]*f42n[t]*f44[t] - 1156917451245956013158640*Sqrt[70]*lu1^8*f40[t]*f42n[t]*f44[t] - 10774324498796616537222192*Sqrt[70]*lu1^9*f40[t]*f42n[t]*f44[t] - 25570451839450508743568544*Sqrt[70]*lu1^10*f40[t]*f42n[t]*f44[t] - 81804748603057785279901440*Sqrt[70]*lu1^11*f40[t]*f42n[t]*f44[t] - 227025039181261443871666176*Sqrt[70]*lu1^12*f40[t]*f42n[t]*f44[t] - 235405554764749113779147520*Sqrt[70]*lu1^13*f40[t]*f42n[t]*f44[t] - 44682333849841065589209600*Sqrt[70]*lu1^14*f40[t]*f42n[t]*f44[t] + 21229430573127746753280000*Sqrt[70]*lu1^15*f40[t]*f42n[t]*f44[t] - 187961372136720*Sqrt[3]*f22n[t]*f44[t]^2 + 2298364269274710*Sqrt[3]* lu1*f22n[t]*f44[t]^2 + 519060836662600050*Sqrt[3]*lu1^2*f22n[t]* f44[t]^2 + 2433014577087289650*Sqrt[3]*lu1^3*f22n[t]*f44[t]^2 - 250388930089520626950*Sqrt[3]*lu1^4*f22n[t]*f44[t]^2 - 8742808362899873963610*Sqrt[3]*lu1^5*f22n[t]*f44[t]^2 + 16122581416029088353990*Sqrt[3]*lu1^6*f22n[t]*f44[t]^2 + 1821502659488392832971110*Sqrt[3]*lu1^7*f22n[t]*f44[t]^2 - 3754759391800171229761650*Sqrt[3]*lu1^8*f22n[t]*f44[t]^2 - 83332545480971615754662100*Sqrt[3]*lu1^9*f22n[t]*f44[t]^2 - 193104897602776729354097040*Sqrt[3]*lu1^10*f22n[t]*f44[t]^2 - 5099002382606615902997760*Sqrt[3]*lu1^11*f22n[t]*f44[t]^2 + 516837531936873069328180320*Sqrt[3]*lu1^12*f22n[t]*f44[t]^2 + 681129536846994827118072000*Sqrt[3]*lu1^13*f22n[t]*f44[t]^2 + 349716571710521479848384000*Sqrt[3]*lu1^14*f22n[t]*f44[t]^2 + 106097703581423249055360000*Sqrt[3]*lu1^15*f22n[t]*f44[t]^2 + 682539034004982*f42n[t]*f44[t]^2 + 10851174213902442*lu1*f42n[t]* f44[t]^2 - 1546270102636711326*lu1^2*f42n[t]*f44[t]^2 - 76135482934093387350*lu1^3*f42n[t]*f44[t]^2 - 27317923267595889978* lu1^4*f42n[t]*f44[t]^2 + 61993673184164939977158*lu1^5*f42n[t]* f44[t]^2 + 108317222271828088720614*lu1^6*f42n[t]*f44[t]^2 - 4411776431957660217045426*lu1^7*f42n[t]*f44[t]^2 + 18540282838858902729029100*lu1^8*f42n[t]*f44[t]^2 - 96338490720963431878828296*lu1^9*f42n[t]*f44[t]^2 - 335424639326203564734739632*lu1^10*f42n[t]*f44[t]^2 + 2141000544528205009818897120*lu1^11*f42n[t]*f44[t]^2 + 7559601219712054605424594752*lu1^12*f42n[t]*f44[t]^2 + 6753446394318551998389863040*lu1^13*f42n[t]*f44[t]^2 + 485325463414085292525139200*lu1^14*f42n[t]*f44[t]^2 - 895467709713677549823360000*lu1^15*f42n[t]*f44[t]^2 - 41017996709424*Sqrt[70]*f40[t]*f42[t]*f44n[t] + 1056154212661536*Sqrt[70]*lu1*f40[t]*f42[t]*f44n[t] + 41877555489137952*Sqrt[70]*lu1^2*f40[t]*f42[t]*f44n[t] - 1156722990766789680*Sqrt[70]*lu1^3*f40[t]*f42[t]*f44n[t] + 155938566729883280256*Sqrt[70]*lu1^4*f40[t]*f42[t]*f44n[t] + 193700503806447238704*Sqrt[70]*lu1^5*f40[t]*f42[t]*f44n[t] - 59042730710310349160448*Sqrt[70]*lu1^6*f40[t]*f42[t]*f44n[t] - 300876809339148000041808*Sqrt[70]*lu1^7*f40[t]*f42[t]*f44n[t] + 1156917451245956013158640*Sqrt[70]*lu1^8*f40[t]*f42[t]*f44n[t] + 10774324498796616537222192*Sqrt[70]*lu1^9*f40[t]*f42[t]*f44n[t] + 25570451839450508743568544*Sqrt[70]*lu1^10*f40[t]*f42[t]*f44n[t] + 81804748603057785279901440*Sqrt[70]*lu1^11*f40[t]*f42[t]*f44n[t] + 227025039181261443871666176*Sqrt[70]*lu1^12*f40[t]*f42[t]*f44n[t] + 235405554764749113779147520*Sqrt[70]*lu1^13*f40[t]*f42[t]*f44n[t] + 44682333849841065589209600*Sqrt[70]*lu1^14*f40[t]*f42[t]*f44n[t] - 21229430573127746753280000*Sqrt[70]*lu1^15*f40[t]*f42[t]*f44n[t] - 187961372136720*Sqrt[3]*f22n[t]*f44n[t]^2 + 2298364269274710*Sqrt[3]* lu1*f22n[t]*f44n[t]^2 + 519060836662600050*Sqrt[3]*lu1^2*f22n[t]* f44n[t]^2 + 2433014577087289650*Sqrt[3]*lu1^3*f22n[t]*f44n[t]^2 - 250388930089520626950*Sqrt[3]*lu1^4*f22n[t]*f44n[t]^2 - 8742808362899873963610*Sqrt[3]*lu1^5*f22n[t]*f44n[t]^2 + 16122581416029088353990*Sqrt[3]*lu1^6*f22n[t]*f44n[t]^2 + 1821502659488392832971110*Sqrt[3]*lu1^7*f22n[t]*f44n[t]^2 - 3754759391800171229761650*Sqrt[3]*lu1^8*f22n[t]*f44n[t]^2 - 83332545480971615754662100*Sqrt[3]*lu1^9*f22n[t]*f44n[t]^2 - 193104897602776729354097040*Sqrt[3]*lu1^10*f22n[t]*f44n[t]^2 - 5099002382606615902997760*Sqrt[3]*lu1^11*f22n[t]*f44n[t]^2 + 516837531936873069328180320*Sqrt[3]*lu1^12*f22n[t]*f44n[t]^2 + 681129536846994827118072000*Sqrt[3]*lu1^13*f22n[t]*f44n[t]^2 + 349716571710521479848384000*Sqrt[3]*lu1^14*f22n[t]*f44n[t]^2 + 106097703581423249055360000*Sqrt[3]*lu1^15*f22n[t]*f44n[t]^2 + 682539034004982*f42n[t]*f44n[t]^2 + 10851174213902442*lu1*f42n[t]* f44n[t]^2 - 1546270102636711326*lu1^2*f42n[t]*f44n[t]^2 - 76135482934093387350*lu1^3*f42n[t]*f44n[t]^2 - 27317923267595889978* lu1^4*f42n[t]*f44n[t]^2 + 61993673184164939977158*lu1^5*f42n[t]* f44n[t]^2 + 108317222271828088720614*lu1^6*f42n[t]*f44n[t]^2 - 4411776431957660217045426*lu1^7*f42n[t]*f44n[t]^2 + 18540282838858902729029100*lu1^8*f42n[t]*f44n[t]^2 - 96338490720963431878828296*lu1^9*f42n[t]*f44n[t]^2 - 335424639326203564734739632*lu1^10*f42n[t]*f44n[t]^2 + 2141000544528205009818897120*lu1^11*f42n[t]*f44n[t]^2 + 7559601219712054605424594752*lu1^12*f42n[t]*f44n[t]^2 + 6753446394318551998389863040*lu1^13*f42n[t]*f44n[t]^2 + 485325463414085292525139200*lu1^14*f42n[t]*f44n[t]^2 - 895467709713677549823360000*lu1^15*f42n[t]*f44n[t]^2 - 148958696250*Sqrt[15]*f22n[t]*f40[t]*g20[t] + 12736180566720*Sqrt[15]* lu1*f22n[t]*f40[t]*g20[t] - 128092719876615*Sqrt[15]*lu1^2*f22n[t]* f40[t]*g20[t] - 21435113820384810*Sqrt[15]*lu1^3*f22n[t]*f40[t]* g20[t] + 845774200202169615*Sqrt[15]*lu1^4*f22n[t]*f40[t]*g20[t] + 973125894070142280*Sqrt[15]*lu1^5*f22n[t]*f40[t]*g20[t] - 185413830970507576125*Sqrt[15]*lu1^6*f22n[t]*f40[t]*g20[t] - 788972570228525649330*Sqrt[15]*lu1^7*f22n[t]*f40[t]*g20[t] + 17076972202432901664555*Sqrt[15]*lu1^8*f22n[t]*f40[t]*g20[t] + 94845399692391830032980*Sqrt[15]*lu1^9*f22n[t]*f40[t]*g20[t] - 599338316239998812999340*Sqrt[15]*lu1^10*f22n[t]*f40[t]*g20[t] + 1071635306929718134175520*Sqrt[15]*lu1^11*f22n[t]*f40[t]*g20[t] + 8851697190454916455928400*Sqrt[15]*lu1^12*f22n[t]*f40[t]*g20[t] + 12831428092082841194491200*Sqrt[15]*lu1^13*f22n[t]*f40[t]*g20[t] + 10130414107671866340696000*Sqrt[15]*lu1^14*f22n[t]*f40[t]*g20[t] + 5193161520662478767040000*Sqrt[15]*lu1^15*f22n[t]*f40[t]*g20[t] + 5340404721366*Sqrt[5]*f40[t]*f42n[t]*g20[t] - 205466047684326*Sqrt[5]* lu1*f40[t]*f42n[t]*g20[t] - 14768830201950396*Sqrt[5]*lu1^2*f40[t]* f42n[t]*g20[t] + 463134252871392102*Sqrt[5]*lu1^3*f40[t]*f42n[t]* g20[t] + 9428105344124347452*Sqrt[5]*lu1^4*f40[t]*f42n[t]*g20[t] - 229163400875594864250*Sqrt[5]*lu1^5*f40[t]*f42n[t]*g20[t] - 1585270996347132928548*Sqrt[5]*lu1^6*f40[t]*f42n[t]*g20[t] + 26544670573776731170938*Sqrt[5]*lu1^7*f40[t]*f42n[t]*g20[t] + 105638876897451025628214*Sqrt[5]*lu1^8*f40[t]*f42n[t]*g20[t] - 237671335592540035407936*Sqrt[5]*lu1^9*f40[t]*f42n[t]*g20[t] + 1664001677322060305084856*Sqrt[5]*lu1^10*f40[t]*f42n[t]*g20[t] - 23020575468150660084951552*Sqrt[5]*lu1^11*f40[t]*f42n[t]*g20[t] - 113528114863357035124689120*Sqrt[5]*lu1^12*f40[t]*f42n[t]*g20[t] - 134026700436747990286272000*Sqrt[5]*lu1^13*f40[t]*f42n[t]*g20[t] - 30086181826562551657968000*Sqrt[5]*lu1^14*f40[t]*f42n[t]*g20[t] + 10664385294941493635520000*Sqrt[5]*lu1^15*f40[t]*f42n[t]*g20[t] + 289214821350*Sqrt[42]*f22n[t]*f44[t]*g20[t] - 12914948366190*Sqrt[42]* lu1*f22n[t]*f44[t]*g20[t] - 778343934314115*Sqrt[42]*lu1^2*f22n[t]* f44[t]*g20[t] + 31414221041161140*Sqrt[42]*lu1^3*f22n[t]*f44[t]* g20[t] + 516283205686135095*Sqrt[42]*lu1^4*f22n[t]*f44[t]*g20[t] - 18868160291733566970*Sqrt[42]*lu1^5*f22n[t]*f44[t]*g20[t] - 157676990814686264025*Sqrt[42]*lu1^6*f22n[t]*f44[t]*g20[t] + 3766350915658448142480*Sqrt[42]*lu1^7*f22n[t]*f44[t]*g20[t] + 29068504035537635106555*Sqrt[42]*lu1^8*f22n[t]*f44[t]*g20[t] - 174679013579220253020060*Sqrt[42]*lu1^9*f22n[t]*f44[t]*g20[t] - 2312937591464439838511340*Sqrt[42]*lu1^10*f22n[t]*f44[t]*g20[t] - 10510493953139450202323040*Sqrt[42]*lu1^11*f22n[t]*f44[t]*g20[t] - 6338152516812353629295280*Sqrt[42]*lu1^12*f22n[t]*f44[t]*g20[t] + 13676458149552154186651200*Sqrt[42]*lu1^13*f22n[t]*f44[t]*g20[t] + 15570351007786032256344000*Sqrt[42]*lu1^14*f22n[t]*f44[t]*g20[t] + 6029876942224459309440000*Sqrt[42]*lu1^15*f22n[t]*f44[t]*g20[t] - 2658003670530*Sqrt[14]*f42n[t]*f44[t]*g20[t] + 86051308694130*Sqrt[14]*lu1*f42n[t]*f44[t]*g20[t] + 5233326562070100*Sqrt[14]*lu1^2*f42n[t]*f44[t]*g20[t] - 123695882227851570*Sqrt[14]*lu1^3*f42n[t]*f44[t]*g20[t] + 449191131937636140*Sqrt[14]*lu1^4*f42n[t]*f44[t]*g20[t] + 10821657502718486190*Sqrt[14]*lu1^5*f42n[t]*f44[t]*g20[t] + 4375695466749098700*Sqrt[14]*lu1^6*f42n[t]*f44[t]*g20[t] - 2315032202256766460910*Sqrt[14]*lu1^7*f42n[t]*f44[t]*g20[t] - 17244190827000118117890*Sqrt[14]*lu1^8*f42n[t]*f44[t]*g20[t] - 1298233505809078038720*Sqrt[14]*lu1^9*f42n[t]*f44[t]*g20[t] - 1369674321120772616313000*Sqrt[14]*lu1^10*f42n[t]*f44[t]*g20[t] + 6889367991057579026887680*Sqrt[14]*lu1^11*f42n[t]*f44[t]*g20[t] + 46393677002430844418386080*Sqrt[14]*lu1^12*f42n[t]*f44[t]*g20[t] + 70991858345442503580633600*Sqrt[14]*lu1^13*f42n[t]*f44[t]*g20[t] + 36801509195836929490128000*Sqrt[14]*lu1^14*f42n[t]*f44[t]*g20[t] + 5186640613875205867200000*Sqrt[14]*lu1^15*f42n[t]*f44[t]*g20[t] + 2658003670530*Sqrt[14]*f42[t]*f44n[t]*g20[t] - 86051308694130*Sqrt[14]*lu1*f42[t]*f44n[t]*g20[t] - 5233326562070100*Sqrt[14]*lu1^2*f42[t]*f44n[t]*g20[t] + 123695882227851570*Sqrt[14]*lu1^3*f42[t]*f44n[t]*g20[t] - 449191131937636140*Sqrt[14]*lu1^4*f42[t]*f44n[t]*g20[t] - 10821657502718486190*Sqrt[14]*lu1^5*f42[t]*f44n[t]*g20[t] - 4375695466749098700*Sqrt[14]*lu1^6*f42[t]*f44n[t]*g20[t] + 2315032202256766460910*Sqrt[14]*lu1^7*f42[t]*f44n[t]*g20[t] + 17244190827000118117890*Sqrt[14]*lu1^8*f42[t]*f44n[t]*g20[t] + 1298233505809078038720*Sqrt[14]*lu1^9*f42[t]*f44n[t]*g20[t] + 1369674321120772616313000*Sqrt[14]*lu1^10*f42[t]*f44n[t]*g20[t] - 6889367991057579026887680*Sqrt[14]*lu1^11*f42[t]*f44n[t]*g20[t] - 46393677002430844418386080*Sqrt[14]*lu1^12*f42[t]*f44n[t]*g20[t] - 70991858345442503580633600*Sqrt[14]*lu1^13*f42[t]*f44n[t]*g20[t] - 36801509195836929490128000*Sqrt[14]*lu1^14*f42[t]*f44n[t]*g20[t] - 5186640613875205867200000*Sqrt[14]*lu1^15*f42[t]*f44n[t]*g20[t] - 4076765505540*f22n[t]*f42[t]*g22[t] + 208818213540300*lu1*f22n[t]* f42[t]*g22[t] + 6705575101027530*lu1^2*f22n[t]*f42[t]*g22[t] - 397729923819997860*lu1^3*f22n[t]*f42[t]*g22[t] + 2588861405071389630*lu1^4*f22n[t]*f42[t]*g22[t] + 96140736004843846680*lu1^5*f22n[t]*f42[t]*g22[t] - 1448370935848674236490*lu1^6*f22n[t]*f42[t]*g22[t] - 6575582810637434286420*lu1^7*f22n[t]*f42[t]*g22[t] + 189532302504788754613830*lu1^8*f22n[t]*f42[t]*g22[t] + 508132543229602893862260*lu1^9*f22n[t]*f42[t]*g22[t] - 7587517239676312575480480*lu1^10*f22n[t]*f42[t]*g22[t] - 36957114608975926242739680*lu1^11*f22n[t]*f42[t]*g22[t] + 109459169557431512274150240*lu1^12*f22n[t]*f42[t]*g22[t] + 609555373534739378416488000*lu1^13*f22n[t]*f42[t]*g22[t] + 721475665642392157145376000*lu1^14*f22n[t]*f42[t]*g22[t] + 221506445267001511344000000*lu1^15*f22n[t]*f42[t]*g22[t] - 4283480704230*Sqrt[3]*f42[t]*f42n[t]*g22[t] + 99716928513930*Sqrt[3]* lu1*f42[t]*f42n[t]*g22[t] + 4454450345668050*Sqrt[3]*lu1^2*f42[t]* f42n[t]*g22[t] + 34989259408961130*Sqrt[3]*lu1^3*f42[t]*f42n[t]* g22[t] + 10580702468025698190*Sqrt[3]*lu1^4*f42[t]*f42n[t]*g22[t] - 211574911112061088410*Sqrt[3]*lu1^5*f42[t]*f42n[t]*g22[t] - 1697062938450729226650*Sqrt[3]*lu1^6*f42[t]*f42n[t]*g22[t] + 26543063467193370232590*Sqrt[3]*lu1^7*f42[t]*f42n[t]*g22[t] + 80316698715712704641760*Sqrt[3]*lu1^8*f42[t]*f42n[t]*g22[t] - 728548678742860956282120*Sqrt[3]*lu1^9*f42[t]*f42n[t]*g22[t] - 3517531401002306021006400*Sqrt[3]*lu1^10*f42[t]*f42n[t]*g22[t] + 3771554686818998068997280*Sqrt[3]*lu1^11*f42[t]*f42n[t]*g22[t] + 50121229403773032212897280*Sqrt[3]*lu1^12*f42[t]*f42n[t]*g22[t] + 110595414050789517019497600*Sqrt[3]*lu1^13*f42[t]*f42n[t]*g22[t] + 97044258690618946918848000*Sqrt[3]*lu1^14*f42[t]*f42n[t]*g22[t] + 29252762378513080243200000*Sqrt[3]*lu1^15*f42[t]*f42n[t]*g22[t] + 1649874414006*Sqrt[210]*f40[t]*f44n[t]*g22[t] - 47029050115866*Sqrt[210]*lu1*f40[t]*f44n[t]*g22[t] - 3523300861408146*Sqrt[210]*lu1^2*f40[t]*f44n[t]*g22[t] + 57057346778876262*Sqrt[210]*lu1^3*f40[t]*f44n[t]*g22[t] + 194976271911557682*Sqrt[210]*lu1^4*f40[t]*f44n[t]*g22[t] + 14876482744621682730*Sqrt[210]*lu1^5*f40[t]*f44n[t]*g22[t] + 124919028503843594202*Sqrt[210]*lu1^6*f40[t]*f44n[t]*g22[t] - 6943489500186938444382*Sqrt[210]*lu1^7*f40[t]*f44n[t]*g22[t] - 26410394299262033367216*Sqrt[210]*lu1^8*f40[t]*f44n[t]*g22[t] + 486982642632893686758024*Sqrt[210]*lu1^9*f40[t]*f44n[t]*g22[t] + 1072510114962048477152256*Sqrt[210]*lu1^10*f40[t]*f44n[t]*g22[t] - 6124026181796921073285792*Sqrt[210]*lu1^11*f40[t]*f44n[t]*g22[t] - 24468313259837534082428160*Sqrt[210]*lu1^12*f40[t]*f44n[t]*g22[t] - 31646539451209996563868800*Sqrt[210]*lu1^13*f40[t]*f44n[t]*g22[t] - 16725912929670710106432000*Sqrt[210]*lu1^14*f40[t]*f44n[t]*g22[t] - 3028455241945969006080000*Sqrt[210]*lu1^15*f40[t]*f44n[t]*g22[t] + 493025761800*Sqrt[3]*f22n[t]^2*g22n[t] - 22944128793300*Sqrt[3]*lu1* f22n[t]^2*g22n[t] - 1288717376532300*Sqrt[3]*lu1^2*f22n[t]^2* g22n[t] + 56767277267801100*Sqrt[3]*lu1^3*f22n[t]^2*g22n[t] + 741415967361026100*Sqrt[3]*lu1^4*f22n[t]^2*g22n[t] - 34973447930510017500*Sqrt[3]*lu1^5*f22n[t]^2*g22n[t] - 112398861105948602900*Sqrt[3]*lu1^6*f22n[t]^2*g22n[t] + 6993725693354579364900*Sqrt[3]*lu1^7*f22n[t]^2*g22n[t] + 12123409478002843863700*Sqrt[3]*lu1^8*f22n[t]^2*g22n[t] - 494168846422582630956800*Sqrt[3]*lu1^9*f22n[t]^2*g22n[t] - 915705521820620988657200*Sqrt[3]*lu1^10*f22n[t]^2*g22n[t] + 3518297289441422162646400*Sqrt[3]*lu1^11*f22n[t]^2*g22n[t] - 45224625076317081653544000*Sqrt[3]*lu1^12*f22n[t]^2*g22n[t] - 121777863679302481713920000*Sqrt[3]*lu1^13*f22n[t]^2*g22n[t] - 85742010037406872749600000*Sqrt[3]*lu1^14*f22n[t]^2*g22n[t] - 17209474824007498032000000*Sqrt[3]*lu1^15*f22n[t]^2*g22n[t] - 305320082535*Sqrt[3]*f40[t]^2*g22n[t] + 25846222533885*Sqrt[3]*lu1* f40[t]^2*g22n[t] - 86041216736865*Sqrt[3]*lu1^2*f40[t]^2*g22n[t] - 63516436765895295*Sqrt[3]*lu1^3*f40[t]^2*g22n[t] + 1236092566341621105*Sqrt[3]*lu1^4*f40[t]^2*g22n[t] + 55227302699418350475*Sqrt[3]*lu1^5*f40[t]^2*g22n[t] + 319590397037524150005*Sqrt[3]*lu1^6*f40[t]^2*g22n[t] - 21217110754228623545805*Sqrt[3]*lu1^7*f40[t]^2*g22n[t] - 94766303793155280281190*Sqrt[3]*lu1^8*f40[t]^2*g22n[t] + 1215292884072552420163860*Sqrt[3]*lu1^9*f40[t]^2*g22n[t] + 398484752203833499025640*Sqrt[3]*lu1^10*f40[t]^2*g22n[t] - 3827785469396337638401680*Sqrt[3]*lu1^11*f40[t]^2*g22n[t] + 16152011854457572157906400*Sqrt[3]*lu1^12*f40[t]^2*g22n[t] + 39203415281045847891384000*Sqrt[3]*lu1^13*f40[t]^2*g22n[t] + 19521066335551440550800000*Sqrt[3]*lu1^14*f40[t]^2*g22n[t] + 1073262918260420596800000*Sqrt[3]*lu1^15*f40[t]^2*g22n[t] - 1243469872710*Sqrt[3]*f42[t]^2*g22n[t] + 82732310777610*Sqrt[3]*lu1* f42[t]^2*g22n[t] + 9104345384445090*Sqrt[3]*lu1^2*f42[t]^2*g22n[t] - 360055099031101110*Sqrt[3]*lu1^3*f42[t]^2*g22n[t] - 15759572872567259970*Sqrt[3]*lu1^4*f42[t]^2*g22n[t] + 294600036476828740710*Sqrt[3]*lu1^5*f42[t]^2*g22n[t] + 2239131097038816986070*Sqrt[3]*lu1^6*f42[t]^2*g22n[t] - 25542581053331731185810*Sqrt[3]*lu1^7*f42[t]^2*g22n[t] - 77441316761414131035120*Sqrt[3]*lu1^8*f42[t]^2*g22n[t] - 126364566475688219856840*Sqrt[3]*lu1^9*f42[t]^2*g22n[t] + 768789385937307683544960*Sqrt[3]*lu1^10*f42[t]^2*g22n[t] + 18838557412340577615568800*Sqrt[3]*lu1^11*f42[t]^2*g22n[t] + 47847175047175412777905920*Sqrt[3]*lu1^12*f42[t]^2*g22n[t] + 7879038679097387321270400*Sqrt[3]*lu1^13*f42[t]^2*g22n[t] - 54682926783969072458688000*Sqrt[3]*lu1^14*f42[t]^2*g22n[t] - 29392484644404423360000000*Sqrt[3]*lu1^15*f42[t]^2*g22n[t] - 14465304748440*f22n[t]*f42n[t]*g22n[t] + 616234702483530*lu1*f22n[t]* f42n[t]*g22n[t] + 33790556281210560*lu1^2*f22n[t]*f42n[t]*g22n[t] - 1267360497255164130*lu1^3*f22n[t]*f42n[t]*g22n[t] - 11740235135710188900*lu1^4*f22n[t]*f42n[t]*g22n[t] + 446825184333212871030*lu1^5*f22n[t]*f42n[t]*g22n[t] - 142234385019115925640*lu1^6*f22n[t]*f42n[t]*g22n[t] - 17935787550454421212110*lu1^7*f22n[t]*f42n[t]*g22n[t] + 89732495994857838145140*lu1^8*f22n[t]*f42n[t]*g22n[t] - 2731108545661605298846800*lu1^9*f22n[t]*f42n[t]*g22n[t] - 585730235680263562040880*lu1^10*f22n[t]*f42n[t]*g22n[t] + 150420151166595828425356800*lu1^11*f22n[t]*f42n[t]*g22n[t] + 437206588661616381138747840*lu1^12*f22n[t]*f42n[t]*g22n[t] + 424683187893049094941152000*lu1^13*f22n[t]*f42n[t]*g22n[t] + 135826298549874021319776000*lu1^14*f22n[t]*f42n[t]*g22n[t] + 1801427664576969374400000*lu1^15*f22n[t]*f42n[t]*g22n[t] - 5526950576940*Sqrt[3]*f42n[t]^2*g22n[t] + 182449239291540*Sqrt[3]*lu1* f42n[t]^2*g22n[t] + 13558795730113140*Sqrt[3]*lu1^2*f42n[t]^2* g22n[t] - 325065839622139980*Sqrt[3]*lu1^3*f42n[t]^2*g22n[t] - 5178870404541561780*Sqrt[3]*lu1^4*f42n[t]^2*g22n[t] + 83025125364767652300*Sqrt[3]*lu1^5*f42n[t]^2*g22n[t] + 542068158588087759420*Sqrt[3]*lu1^6*f42n[t]^2*g22n[t] + 1000482413861639046780*Sqrt[3]*lu1^7*f42n[t]^2*g22n[t] + 2875381954298573606640*Sqrt[3]*lu1^8*f42n[t]^2*g22n[t] - 854913245218549176138960*Sqrt[3]*lu1^9*f42n[t]^2*g22n[t] - 2748742015064998337461440*Sqrt[3]*lu1^10*f42n[t]^2*g22n[t] + 22610112099159575684566080*Sqrt[3]*lu1^11*f42n[t]^2*g22n[t] + 97968404450948444990803200*Sqrt[3]*lu1^12*f42n[t]^2*g22n[t] + 118474452729886904340768000*Sqrt[3]*lu1^13*f42n[t]^2*g22n[t] + 42361331906649874460160000*Sqrt[3]*lu1^14*f42n[t]^2*g22n[t] - 139722265891343116800000*Sqrt[3]*lu1^15*f42n[t]^2*g22n[t] - 1649874414006*Sqrt[210]*f40[t]*f44[t]*g22n[t] + 47029050115866*Sqrt[210]*lu1*f40[t]*f44[t]*g22n[t] + 3523300861408146*Sqrt[210]*lu1^2*f40[t]*f44[t]*g22n[t] - 57057346778876262*Sqrt[210]*lu1^3*f40[t]*f44[t]*g22n[t] - 194976271911557682*Sqrt[210]*lu1^4*f40[t]*f44[t]*g22n[t] - 14876482744621682730*Sqrt[210]*lu1^5*f40[t]*f44[t]*g22n[t] - 124919028503843594202*Sqrt[210]*lu1^6*f40[t]*f44[t]*g22n[t] + 6943489500186938444382*Sqrt[210]*lu1^7*f40[t]*f44[t]*g22n[t] + 26410394299262033367216*Sqrt[210]*lu1^8*f40[t]*f44[t]*g22n[t] - 486982642632893686758024*Sqrt[210]*lu1^9*f40[t]*f44[t]*g22n[t] - 1072510114962048477152256*Sqrt[210]*lu1^10*f40[t]*f44[t]*g22n[t] + 6124026181796921073285792*Sqrt[210]*lu1^11*f40[t]*f44[t]*g22n[t] + 24468313259837534082428160*Sqrt[210]*lu1^12*f40[t]*f44[t]*g22n[t] + 31646539451209996563868800*Sqrt[210]*lu1^13*f40[t]*f44[t]*g22n[t] + 16725912929670710106432000*Sqrt[210]*lu1^14*f40[t]*f44[t]*g22n[t] + 3028455241945969006080000*Sqrt[210]*lu1^15*f40[t]*f44[t]*g22n[t] + 12086427790710*Sqrt[3]*f44[t]^2*g22n[t] - 437284167457410*Sqrt[3]*lu1* f44[t]^2*g22n[t] - 33129794238698430*Sqrt[3]*lu1^2*f44[t]^2* g22n[t] + 932512703108944230*Sqrt[3]*lu1^3*f44[t]^2*g22n[t] + 20040061013233549470*Sqrt[3]*lu1^4*f44[t]^2*g22n[t] - 399268476847033365390*Sqrt[3]*lu1^5*f44[t]^2*g22n[t] - 2789950646560402942890*Sqrt[3]*lu1^6*f44[t]^2*g22n[t] + 29172163043983625060850*Sqrt[3]*lu1^7*f44[t]^2*g22n[t] + 109054316461115793664260*Sqrt[3]*lu1^8*f44[t]^2*g22n[t] + 983874278705855552073240*Sqrt[3]*lu1^9*f44[t]^2*g22n[t] + 4719301271369235886542480*Sqrt[3]*lu1^10*f44[t]^2*g22n[t] - 55227405493615311353910240*Sqrt[3]*lu1^11*f44[t]^2*g22n[t] - 238602933502985546605481280*Sqrt[3]*lu1^12*f44[t]^2*g22n[t] - 268337208099869298823305600*Sqrt[3]*lu1^13*f44[t]^2*g22n[t] - 61281423514354660981728000*Sqrt[3]*lu1^14*f44[t]^2*g22n[t] + 19158925682545354742400000*Sqrt[3]*lu1^15*f44[t]^2*g22n[t] + 12086427790710*Sqrt[3]*f44n[t]^2*g22n[t] - 437284167457410*Sqrt[3]* lu1*f44n[t]^2*g22n[t] - 33129794238698430*Sqrt[3]*lu1^2*f44n[t]^2* g22n[t] + 932512703108944230*Sqrt[3]*lu1^3*f44n[t]^2*g22n[t] + 20040061013233549470*Sqrt[3]*lu1^4*f44n[t]^2*g22n[t] - 399268476847033365390*Sqrt[3]*lu1^5*f44n[t]^2*g22n[t] - 2789950646560402942890*Sqrt[3]*lu1^6*f44n[t]^2*g22n[t] + 29172163043983625060850*Sqrt[3]*lu1^7*f44n[t]^2*g22n[t] + 109054316461115793664260*Sqrt[3]*lu1^8*f44n[t]^2*g22n[t] + 983874278705855552073240*Sqrt[3]*lu1^9*f44n[t]^2*g22n[t] + 4719301271369235886542480*Sqrt[3]*lu1^10*f44n[t]^2*g22n[t] - 55227405493615311353910240*Sqrt[3]*lu1^11*f44n[t]^2*g22n[t] - 238602933502985546605481280*Sqrt[3]*lu1^12*f44n[t]^2*g22n[t] - 268337208099869298823305600*Sqrt[3]*lu1^13*f44n[t]^2*g22n[t] - 61281423514354660981728000*Sqrt[3]*lu1^14*f44n[t]^2*g22n[t] + 19158925682545354742400000*Sqrt[3]*lu1^15*f44n[t]^2*g22n[t] - 424140386670*Sqrt[3]*f22n[t]*f40[t]*g40[t] + 18022386591495*Sqrt[3]* lu1*f22n[t]*f40[t]*g40[t] + 988210214588025*Sqrt[3]*lu1^2*f22n[t]* f40[t]*g40[t] - 37359586494024795*Sqrt[3]*lu1^3*f22n[t]*f40[t]* g40[t] - 264184561382774175*Sqrt[3]*lu1^4*f22n[t]*f40[t]*g40[t] + 12401522992879978815*Sqrt[3]*lu1^5*f22n[t]*f40[t]*g40[t] - 166750597542110398245*Sqrt[3]*lu1^6*f22n[t]*f40[t]*g40[t] + 1169216811583979333175*Sqrt[3]*lu1^7*f22n[t]*f40[t]*g40[t] + 34013264858408159251785*Sqrt[3]*lu1^8*f22n[t]*f40[t]*g40[t] - 250572072843796428860850*Sqrt[3]*lu1^9*f22n[t]*f40[t]*g40[t] - 1803140158409470478838240*Sqrt[3]*lu1^10*f22n[t]*f40[t]*g40[t] + 4308845310283426712308080*Sqrt[3]*lu1^11*f22n[t]*f40[t]*g40[t] + 23589436312831234989171600*Sqrt[3]*lu1^12*f22n[t]*f40[t]*g40[t] + 17627542067133067587804000*Sqrt[3]*lu1^13*f22n[t]*f40[t]*g40[t] - 3907634840280043432560000*Sqrt[3]*lu1^14*f22n[t]*f40[t]*g40[t] - 796931688158044639200000*Sqrt[3]*lu1^15*f22n[t]*f40[t]*g40[t] - 10722205107765*f40[t]*f42n[t]*g40[t] + 540369374235615*lu1*f40[t]* f42n[t]*g40[t] + 9591827177609865*lu1^2*f40[t]*f42n[t]*g40[t] - 614606944393262205*lu1^3*f40[t]*f42n[t]*g40[t] - 1780888685304601305*lu1^4*f40[t]*f42n[t]*g40[t] + 187513786381390947225*lu1^5*f40[t]*f42n[t]*g40[t] - 608846538493435077405*lu1^6*f40[t]*f42n[t]*g40[t] - 11439239105445499543095*lu1^7*f40[t]*f42n[t]*g40[t] + 153898256434802944737690*lu1^8*f40[t]*f42n[t]*g40[t] - 484107589332967571578260*lu1^9*f40[t]*f42n[t]*g40[t] - 11602303441923743281598040*lu1^10*f40[t]*f42n[t]*g40[t] + 18043264158986403097364880*lu1^11*f40[t]*f42n[t]*g40[t] + 234063249413231992684600800*lu1^12*f40[t]*f42n[t]*g40[t] + 477234159542901830740680000*lu1^13*f40[t]*f42n[t]*g40[t] + 371624277714663911127120000*lu1^14*f40[t]*f42n[t]*g40[t] + 99957479626737698011200000*lu1^15*f40[t]*f42n[t]*g40[t] - 28408349970*Sqrt[210]*f22n[t]*f44[t]*g40[t] + 1217559195567*Sqrt[210]* lu1*f22n[t]*f44[t]*g40[t] + 85482140259087*Sqrt[210]*lu1^2*f22n[t]* f44[t]*g40[t] - 3160740473553663*Sqrt[210]*lu1^3*f22n[t]*f44[t]* g40[t] - 74254522428506277*Sqrt[210]*lu1^4*f22n[t]*f44[t]*g40[t] + 2143459533936192615*Sqrt[210]*lu1^5*f22n[t]*f44[t]*g40[t] + 28644102247518934605*Sqrt[210]*lu1^6*f22n[t]*f44[t]*g40[t] - 426126238819148648781*Sqrt[210]*lu1^7*f22n[t]*f44[t]*g40[t] - 5209159556727189066861*Sqrt[210]*lu1^8*f22n[t]*f44[t]*g40[t] + 1972271960443737884646*Sqrt[210]*lu1^9*f22n[t]*f44[t]*g40[t] + 355067375509345510491480*Sqrt[210]*lu1^10*f22n[t]*f44[t]*g40[t] + 3030301959541682355973872*Sqrt[210]*lu1^11*f22n[t]*f44[t]*g40[t] + 1475398660679318484560880*Sqrt[210]*lu1^12*f22n[t]*f44[t]*g40[t] - 12974052818764815979687200*Sqrt[210]*lu1^13*f22n[t]*f44[t]*g40[t] - 18035983311287921467488000*Sqrt[210]*lu1^14*f22n[t]*f44[t]*g40[t] - 5629308915901562892000000*Sqrt[210]*lu1^15*f22n[t]*f44[t]*g40[t] - 162874167795*Sqrt[70]*f42n[t]*f44[t]*g40[t] + 686231425305*Sqrt[70]* lu1*f42n[t]*f44[t]*g40[t] + 745673207979015*Sqrt[70]*lu1^2*f42n[t]* f44[t]*g40[t] - 3950591471618715*Sqrt[70]*lu1^3*f42n[t]*f44[t]* g40[t] - 466412303317243095*Sqrt[70]*lu1^4*f42n[t]*f44[t]*g40[t] - 4442092093352880945*Sqrt[70]*lu1^5*f42n[t]*f44[t]*g40[t] + 2454852554315894925*Sqrt[70]*lu1^6*f42n[t]*f44[t]*g40[t] + 2955648667941149816655*Sqrt[70]*lu1^7*f42n[t]*f44[t]*g40[t] + 10170538521399116557470*Sqrt[70]*lu1^8*f42n[t]*f44[t]*g40[t] - 204294828154335364321740*Sqrt[70]*lu1^9*f42n[t]*f44[t]*g40[t] - 62191405652903581831560*Sqrt[70]*lu1^10*f42n[t]*f44[t]*g40[t] + 1687890135882838946125680*Sqrt[70]*lu1^11*f42n[t]*f44[t]*g40[t] + 877520913227398005040800*Sqrt[70]*lu1^12*f42n[t]*f44[t]*g40[t] - 4241855139826048460424000*Sqrt[70]*lu1^13*f42n[t]*f44[t]*g40[t] - 5095541159352892014480000*Sqrt[70]*lu1^14*f42n[t]*f44[t]*g40[t] - 1574937086965607534400000*Sqrt[70]*lu1^15*f42n[t]*f44[t]*g40[t] + 162874167795*Sqrt[70]*f42[t]*f44n[t]*g40[t] - 686231425305*Sqrt[70]* lu1*f42[t]*f44n[t]*g40[t] - 745673207979015*Sqrt[70]*lu1^2*f42[t]* f44n[t]*g40[t] + 3950591471618715*Sqrt[70]*lu1^3*f42[t]*f44n[t]* g40[t] + 466412303317243095*Sqrt[70]*lu1^4*f42[t]*f44n[t]*g40[t] + 4442092093352880945*Sqrt[70]*lu1^5*f42[t]*f44n[t]*g40[t] - 2454852554315894925*Sqrt[70]*lu1^6*f42[t]*f44n[t]*g40[t] - 2955648667941149816655*Sqrt[70]*lu1^7*f42[t]*f44n[t]*g40[t] - 10170538521399116557470*Sqrt[70]*lu1^8*f42[t]*f44n[t]*g40[t] + 204294828154335364321740*Sqrt[70]*lu1^9*f42[t]*f44n[t]*g40[t] + 62191405652903581831560*Sqrt[70]*lu1^10*f42[t]*f44n[t]*g40[t] - 1687890135882838946125680*Sqrt[70]*lu1^11*f42[t]*f44n[t]*g40[t] - 877520913227398005040800*Sqrt[70]*lu1^12*f42[t]*f44n[t]*g40[t] + 4241855139826048460424000*Sqrt[70]*lu1^13*f42[t]*f44n[t]*g40[t] + 5095541159352892014480000*Sqrt[70]*lu1^14*f42[t]*f44n[t]*g40[t] + 1574937086965607534400000*Sqrt[70]*lu1^15*f42[t]*f44n[t]*g40[t] - 134903010060*Sqrt[3]*f22n[t]*f42[t]*g42[t] + 21417505019820*Sqrt[3]* lu1*f22n[t]*f42[t]*g42[t] - 815838243448410*Sqrt[3]*lu1^2*f22n[t]* f42[t]*g42[t] - 34440978809650140*Sqrt[3]*lu1^3*f22n[t]*f42[t]* g42[t] + 2188933315846272450*Sqrt[3]*lu1^4*f22n[t]*f42[t]*g42[t] + 187200672741253080*Sqrt[3]*lu1^5*f22n[t]*f42[t]*g42[t] - 444858362157141395190*Sqrt[3]*lu1^6*f22n[t]*f42[t]*g42[t] - 4494379047358123205100*Sqrt[3]*lu1^7*f22n[t]*f42[t]*g42[t] + 40291427916578790503370*Sqrt[3]*lu1^8*f22n[t]*f42[t]*g42[t] + 878204893356986160665700*Sqrt[3]*lu1^9*f22n[t]*f42[t]*g42[t] - 848290686618208158234000*Sqrt[3]*lu1^10*f22n[t]*f42[t]*g42[t] - 34798145246215988835612960*Sqrt[3]*lu1^11*f22n[t]*f42[t]*g42[t] - 12334131704327549355963360*Sqrt[3]*lu1^12*f22n[t]*f42[t]*g42[t] + 246037906781129827758139200*Sqrt[3]*lu1^13*f22n[t]*f42[t]*g42[t] + 358252777990657841945472000*Sqrt[3]*lu1^14*f22n[t]*f42[t]*g42[t] + 113185305616542708407040000*Sqrt[3]*lu1^15*f22n[t]*f42[t]*g42[t] - 26998693708518*f42[t]*f42n[t]*g42[t] + 1122766870363362*lu1*f42[t]* f42n[t]*g42[t] + 32896462864677174*lu1^2*f42[t]*f42n[t]*g42[t] - 1098516054249392310*lu1^3*f42[t]*f42n[t]*g42[t] + 296765534410161642*lu1^4*f42[t]*f42n[t]*g42[t] - 13492423943824483602*lu1^5*f42[t]*f42n[t]*g42[t] - 3527281116948218419566*lu1^6*f42[t]*f42n[t]*g42[t] + 78303407293180471405374*lu1^7*f42[t]*f42n[t]*g42[t] + 667414422784171834686180*lu1^8*f42[t]*f42n[t]*g42[t] - 6263054106233160254099256*lu1^9*f42[t]*f42n[t]*g42[t] - 27759152427488779849341552*lu1^10*f42[t]*f42n[t]*g42[t] + 66372364529428393069814880*lu1^11*f42[t]*f42n[t]*g42[t] + 493061316850294663250549952*lu1^12*f42[t]*f42n[t]*g42[t] + 929113123364887507607917440*lu1^13*f42[t]*f42n[t]*g42[t] + 731065007978524750064083200*lu1^14*f42[t]*f42n[t]*g42[t] + 204349389613135435751040000*lu1^15*f42[t]*f42n[t]*g42[t] + 239335792794*Sqrt[70]*f40[t]*f44n[t]*g42[t] + 7801523135154*Sqrt[70]* lu1*f40[t]*f44n[t]*g42[t] - 973881748078722*Sqrt[70]*lu1^2*f40[t]* f44n[t]*g42[t] - 14056230221561430*Sqrt[70]*lu1^3*f40[t]*f44n[t]* g42[t] - 842892588621891486*Sqrt[70]*lu1^4*f40[t]*f44n[t]*g42[t] + 25903414477757285406*Sqrt[70]*lu1^5*f40[t]*f44n[t]*g42[t] + 88440718728323551338*Sqrt[70]*lu1^6*f40[t]*f44n[t]*g42[t] - 3033524020289102460162*Sqrt[70]*lu1^7*f40[t]*f44n[t]*g42[t] + 3514812319398209418540*Sqrt[70]*lu1^8*f40[t]*f44n[t]*g42[t] + 83452070446039317348648*Sqrt[70]*lu1^9*f40[t]*f44n[t]*g42[t] - 143173548770329248557904*Sqrt[70]*lu1^10*f40[t]*f44n[t]*g42[t] - 1007783511157042203417120*Sqrt[70]*lu1^11*f40[t]*f44n[t]*g42[t] + 963699205477089750387264*Sqrt[70]*lu1^12*f40[t]*f44n[t]*g42[t] + 7543013027696374135582080*Sqrt[70]*lu1^13*f40[t]*f44n[t]*g42[t] + 9092365854992133419462400*Sqrt[70]*lu1^14*f40[t]*f44n[t]*g42[t] + 3167881262252380356480000*Sqrt[70]*lu1^15*f40[t]*f44n[t]*g42[t] - 133287086790*f22n[t]^2*g42n[t] + 7099269696090*lu1*f22n[t]^2* g42n[t] + 284156768313990*lu1^2*f22n[t]^2*g42n[t] - 16815429976174830*lu1^3*f22n[t]^2*g42n[t] - 34139931979068630*lu1^4* f22n[t]^2*g42n[t] + 8796006300330141750*lu1^5*f22n[t]^2*g42n[t] - 75504927358872412830*lu1^6*f22n[t]^2*g42n[t] - 1054190467109037656970* lu1^7*f22n[t]^2*g42n[t] + 17977431893532952466340*lu1^8*f22n[t]^2* g42n[t] + 23113080701647615004040*lu1^9*f22n[t]^2*g42n[t] - 1353738330802381769285040*lu1^10*f22n[t]^2*g42n[t] - 1717688149485599814700320*lu1^11*f22n[t]^2*g42n[t] + 7021753783556947641835200*lu1^12*f22n[t]^2*g42n[t] + 32633170858534339984176000*lu1^13*f22n[t]^2*g42n[t] + 44053593945253240027680000*lu1^14*f22n[t]^2*g42n[t] + 17106039194579288553600000*lu1^15*f22n[t]^2*g42n[t] + 2835862834275*f40[t]^2*g42n[t] - 17746220578545*lu1*f40[t]^2* g42n[t] - 11239837493911155*lu1^2*f40[t]^2*g42n[t] + 82598470293765195*lu1^3*f40[t]^2*g42n[t] + 2755825869418292835*lu1^4* f40[t]^2*g42n[t] + 55052222624443094985*lu1^5*f40[t]^2*g42n[t] - 161702777734458246225*lu1^6*f40[t]^2*g42n[t] - 21915109057879101640815*lu1^7*f40[t]^2*g42n[t] - 23938462736596831022010*lu1^8*f40[t]^2*g42n[t] + 1497198281940396016700220*lu1^9*f40[t]^2*g42n[t] + 68242723330565320288920*lu1^10*f40[t]^2*g42n[t] - 19260760731058513237471920*lu1^11*f40[t]^2*g42n[t] - 24987448951355559974254560*lu1^12*f40[t]^2*g42n[t] + 29490833642445550147060800*lu1^13*f40[t]^2*g42n[t] + 63064760517976948207344000*lu1^14*f40[t]^2*g42n[t] + 25214036959998482904000000*lu1^15*f40[t]^2*g42n[t] + 1996301731266*f42[t]^2*g42n[t] - 182528547696774*lu1*f42[t]^2* g42n[t] + 4072909848653862*lu1^2*f42[t]^2*g42n[t] + 135031544929690290*lu1^3*f42[t]^2*g42n[t] + 184219206278174586*lu1^4* f42[t]^2*g42n[t] - 69573002897403871146*lu1^5*f42[t]^2*g42n[t] + 621842595370799668002*lu1^6*f42[t]^2*g42n[t] + 1086645197636560420182* lu1^7*f42[t]^2*g42n[t] - 132665844905559220213620*lu1^8*f42[t]^2* g42n[t] + 252553954454419726471752*lu1^9*f42[t]^2*g42n[t] + 4997946368889617980004784*lu1^10*f42[t]^2*g42n[t] + 2790850780831814879222880*lu1^11*f42[t]^2*g42n[t] - 61984453117239262254849984*lu1^12*f42[t]^2*g42n[t] - 177432951014217773087460480*lu1^13*f42[t]^2*g42n[t] - 176649918350309016386054400*lu1^14*f42[t]^2*g42n[t] - 57196361897328465866880000*lu1^15*f42[t]^2*g42n[t] - 1006671327480*Sqrt[3]*f22n[t]*f42n[t]*g42n[t] + 46221627551580*Sqrt[3]*lu1*f22n[t]*f42n[t]*g42n[t] + 2099575943489700*Sqrt[3]*lu1^2*f22n[t]*f42n[t]*g42n[t] - 92495214639680580*Sqrt[3]*lu1^3*f22n[t]*f42n[t]*g42n[t] - 301471504228163100*Sqrt[3]*lu1^4*f22n[t]*f42n[t]*g42n[t] + 29064537656586468660*Sqrt[3]*lu1^5*f22n[t]*f42n[t]*g42n[t] - 114532393099420491780*Sqrt[3]*lu1^6*f22n[t]*f42n[t]*g42n[t] - 1549636822454833994700*Sqrt[3]*lu1^7*f22n[t]*f42n[t]*g42n[t] + 16328393773190597906340*Sqrt[3]*lu1^8*f22n[t]*f42n[t]*g42n[t] - 108850023092711340211200*Sqrt[3]*lu1^9*f22n[t]*f42n[t]*g42n[t] - 435140483550944004702960*Sqrt[3]*lu1^10*f22n[t]*f42n[t]*g42n[t] + 8367203892896902443112320*Sqrt[3]*lu1^11*f22n[t]*f42n[t]*g42n[t] + 31752408590623522447339200*Sqrt[3]*lu1^12*f22n[t]*f42n[t]*g42n[t] + 44914922365789194970368000*Sqrt[3]*lu1^13*f22n[t]*f42n[t]*g42n[t] + 29791540147154629465440000*Sqrt[3]*lu1^14*f22n[t]*f42n[t]*g42n[t] + 7607445391534708137600000*Sqrt[3]*lu1^15*f22n[t]*f42n[t]*g42n[t] - 25002391977252*f42n[t]^2*g42n[t] + 940238322666588*lu1*f42n[t]^2* g42n[t] + 36969372713331036*lu1^2*f42n[t]^2*g42n[t] - 963484509319702020*lu1^3*f42n[t]^2*g42n[t] + 480984740688336228*lu1^4* f42n[t]^2*g42n[t] - 83065426841228354748*lu1^5*f42n[t]^2*g42n[t] - 2905438521577418751564*lu1^6*f42n[t]^2*g42n[t] + 79390052490817031825556*lu1^7*f42n[t]^2*g42n[t] + 534748577878612614472560*lu1^8*f42n[t]^2*g42n[t] - 6010500151778740527627504*lu1^9*f42n[t]^2*g42n[t] - 22761206058599161869336768*lu1^10*f42n[t]^2*g42n[t] + 69163215310260207949037760*lu1^11*f42n[t]^2*g42n[t] + 431076863733055400995699968*lu1^12*f42n[t]^2*g42n[t] + 751680172350669734520456960*lu1^13*f42n[t]^2*g42n[t] + 554415089628215733678028800*lu1^14*f42n[t]^2*g42n[t] + 147153027715806969884160000*lu1^15*f42n[t]^2*g42n[t] - 239335792794*Sqrt[70]*f40[t]*f44[t]*g42n[t] - 7801523135154*Sqrt[70]* lu1*f40[t]*f44[t]*g42n[t] + 973881748078722*Sqrt[70]*lu1^2*f40[t]* f44[t]*g42n[t] + 14056230221561430*Sqrt[70]*lu1^3*f40[t]*f44[t]* g42n[t] + 842892588621891486*Sqrt[70]*lu1^4*f40[t]*f44[t]*g42n[t] - 25903414477757285406*Sqrt[70]*lu1^5*f40[t]*f44[t]*g42n[t] - 88440718728323551338*Sqrt[70]*lu1^6*f40[t]*f44[t]*g42n[t] + 3033524020289102460162*Sqrt[70]*lu1^7*f40[t]*f44[t]*g42n[t] - 3514812319398209418540*Sqrt[70]*lu1^8*f40[t]*f44[t]*g42n[t] - 83452070446039317348648*Sqrt[70]*lu1^9*f40[t]*f44[t]*g42n[t] + 143173548770329248557904*Sqrt[70]*lu1^10*f40[t]*f44[t]*g42n[t] + 1007783511157042203417120*Sqrt[70]*lu1^11*f40[t]*f44[t]*g42n[t] - 963699205477089750387264*Sqrt[70]*lu1^12*f40[t]*f44[t]*g42n[t] - 7543013027696374135582080*Sqrt[70]*lu1^13*f40[t]*f44[t]*g42n[t] - 9092365854992133419462400*Sqrt[70]*lu1^14*f40[t]*f44[t]*g42n[t] - 3167881262252380356480000*Sqrt[70]*lu1^15*f40[t]*f44[t]*g42n[t] + 2179272064914*f44[t]^2*g42n[t] - 85383808944966*lu1*f44[t]^2* g42n[t] - 7384027950135522*lu1^2*f44[t]^2*g42n[t] + 226136319848381250*lu1^3*f44[t]^2*g42n[t] + 6717799486679863554*lu1^4* f44[t]^2*g42n[t] - 127236243250431299754*lu1^5*f44[t]^2*g42n[t] - 945785732230586323062*lu1^6*f44[t]^2*g42n[t] + 9942543824400812803878* lu1^7*f44[t]^2*g42n[t] + 34833528412810045499700*lu1^8*f44[t]^2* g42n[t] + 203269880296926486745128*lu1^9*f44[t]^2*g42n[t] + 523049810679240257132496*lu1^10*f44[t]^2*g42n[t] - 13126947597548434891211040*lu1^11*f44[t]^2*g42n[t] - 47681802335117532730913856*lu1^12*f44[t]^2*g42n[t] - 41580216409693493611336320*lu1^13*f44[t]^2*g42n[t] + 5099732399580736517510400*lu1^14*f44[t]^2*g42n[t] + 10397615735846362826880000*lu1^15*f44[t]^2*g42n[t] + 2179272064914*f44n[t]^2*g42n[t] - 85383808944966*lu1*f44n[t]^2* g42n[t] - 7384027950135522*lu1^2*f44n[t]^2*g42n[t] + 226136319848381250*lu1^3*f44n[t]^2*g42n[t] + 6717799486679863554* lu1^4*f44n[t]^2*g42n[t] - 127236243250431299754*lu1^5*f44n[t]^2* g42n[t] - 945785732230586323062*lu1^6*f44n[t]^2*g42n[t] + 9942543824400812803878*lu1^7*f44n[t]^2*g42n[t] + 34833528412810045499700*lu1^8*f44n[t]^2*g42n[t] + 203269880296926486745128*lu1^9*f44n[t]^2*g42n[t] + 523049810679240257132496*lu1^10*f44n[t]^2*g42n[t] - 13126947597548434891211040*lu1^11*f44n[t]^2*g42n[t] - 47681802335117532730913856*lu1^12*f44n[t]^2*g42n[t] - 41580216409693493611336320*lu1^13*f44n[t]^2*g42n[t] + 5099732399580736517510400*lu1^14*f44n[t]^2*g42n[t] + 10397615735846362826880000*lu1^15*f44n[t]^2*g42n[t] + 2210*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]^2* (2145*Sqrt[3]*(241947 - 6850926*lu1 - 120662019*lu1^2 + 3115641324*lu1^3 - 23758357671*lu1^4 + 268250620594*lu1^5 + 6132738734523*lu1^6 - 64511706604928*lu1^7 - 426267487285532* lu1^8 + 219393330033328*lu1^9 + 4232440673020240*lu1^10 + 7652814199497600*lu1^11 + 5124325953016000*lu1^12 + 1175563472160000*lu1^13)*f22n[t] + 3*(245186730 - 16645656555*lu1 - 1113293790249*lu1^2 + 39241261572082*lu1^3 + 41866695043574*lu1^4 - 5856489720023667* lu1^5 + 58556626028970395*lu1^6 + 63396494441959192*lu1^7 - 4311917471399930106*lu1^8 - 5690412609131260172*lu1^9 + 21276628745229050456*lu1^10 + 44989406155230443760*lu1^11 + 24314362437417580800*lu1^12 + 2771286869746080000*lu1^13)* f42n[t] + 11*(-1 + 7*lu1 + 170*lu1^2)^2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)* (13*Sqrt[3]*(9621 - 84747*lu1 - 1863751*lu1^2 + 5788027*lu1^3 - 27025214*lu1^4 + 3601280*lu1^5)*g22n[t] - 18*(-8997 + 134989*lu1 - 356423*lu1^2 - 1622929*lu1^3 + 13707068*lu1^4 + 13786740*lu1^5)*g42n[t])) + 3315*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]^2* (715*Sqrt[3]*(241947 - 6850926*lu1 - 120662019*lu1^2 + 3115641324*lu1^3 - 23758357671*lu1^4 + 268250620594*lu1^5 + 6132738734523*lu1^6 - 64511706604928*lu1^7 - 426267487285532* lu1^8 + 219393330033328*lu1^9 + 4232440673020240*lu1^10 + 7652814199497600*lu1^11 + 5124325953016000*lu1^12 + 1175563472160000*lu1^13)*f22n[t] + 3*(-303686334 - 4247889327*lu1 - 98805001389*lu1^2 + 21018746033732*lu1^3 - 121587264181560*lu1^4 - 5112255780324031* lu1^5 + 31352531274670675*lu1^6 + 375890274013841394*lu1^7 - 614738195139170960*lu1^8 - 2773372184730984952*lu1^9 + 4857542199542290608*lu1^10 + 14478224890443106400*lu1^11 + 7873426785461654400*lu1^12 + 608965854000336000*lu1^13)*f42n[t] - 11*(-1 + 7*lu1 + 170*lu1^2)^2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*(26*Sqrt[3]*(-3 + 11996*lu1 - 450232*lu1^2 + 812014*lu1^3 - 2475173*lu1^4 + 3682710*lu1^5)* g22n[t] + 3*(-4119 + 89563*lu1 - 1208801*lu1^2 + 1144577*lu1^3 + 514856*lu1^4 + 14856180*lu1^5)*g42n[t])) - 216756800442*Sqrt[210]*f22n[t]*f40[t]*g44[t] + 8605947369825*Sqrt[210]*lu1*f22n[t]*f40[t]*g44[t] + 529343385360543*Sqrt[210]*lu1^2*f22n[t]*f40[t]*g44[t] - 17202518050774329*Sqrt[210]*lu1^3*f22n[t]*f40[t]*g44[t] - 222484647606862953*Sqrt[210]*lu1^4*f22n[t]*f40[t]*g44[t] + 5319204411442717029*Sqrt[210]*lu1^5*f22n[t]*f40[t]*g44[t] + 12251690966509571733*Sqrt[210]*lu1^6*f22n[t]*f40[t]*g44[t] + 201095314536843569661*Sqrt[210]*lu1^7*f22n[t]*f40[t]*g44[t] + 128329515564961112727*Sqrt[210]*lu1^8*f22n[t]*f40[t]*g44[t] - 91287788192115504009306*Sqrt[210]*lu1^9*f22n[t]*f40[t]*g44[t] - 85301432240397853795224*Sqrt[210]*lu1^10*f22n[t]*f40[t]*g44[t] + 2859209643619785802388016*Sqrt[210]*lu1^11*f22n[t]*f40[t]*g44[t] + 6285519047728252706028720*Sqrt[210]*lu1^12*f22n[t]*f40[t]*g44[t] - 2525636846921311907815200*Sqrt[210]*lu1^13*f22n[t]*f40[t]*g44[t] - 11144676889239398983296000*Sqrt[210]*lu1^14*f22n[t]*f40[t]*g44[t] - 4269344277530182949280000*Sqrt[210]*lu1^15*f22n[t]*f40[t]*g44[t] - 162874167795*Sqrt[70]*f40[t]*f42n[t]*g44[t] + 686231425305*Sqrt[70]* lu1*f40[t]*f42n[t]*g44[t] + 745673207979015*Sqrt[70]*lu1^2*f40[t]* f42n[t]*g44[t] - 3950591471618715*Sqrt[70]*lu1^3*f40[t]*f42n[t]* g44[t] - 466412303317243095*Sqrt[70]*lu1^4*f40[t]*f42n[t]*g44[t] - 4442092093352880945*Sqrt[70]*lu1^5*f40[t]*f42n[t]*g44[t] + 2454852554315894925*Sqrt[70]*lu1^6*f40[t]*f42n[t]*g44[t] + 2955648667941149816655*Sqrt[70]*lu1^7*f40[t]*f42n[t]*g44[t] + 10170538521399116557470*Sqrt[70]*lu1^8*f40[t]*f42n[t]*g44[t] - 204294828154335364321740*Sqrt[70]*lu1^9*f40[t]*f42n[t]*g44[t] - 62191405652903581831560*Sqrt[70]*lu1^10*f40[t]*f42n[t]*g44[t] + 1687890135882838946125680*Sqrt[70]*lu1^11*f40[t]*f42n[t]*g44[t] + 877520913227398005040800*Sqrt[70]*lu1^12*f40[t]*f42n[t]*g44[t] - 4241855139826048460424000*Sqrt[70]*lu1^13*f40[t]*f42n[t]*g44[t] - 5095541159352892014480000*Sqrt[70]*lu1^14*f40[t]*f42n[t]*g44[t] - 1574937086965607534400000*Sqrt[70]*lu1^15*f40[t]*f42n[t]*g44[t] + 2386038252780*Sqrt[3]*f22n[t]*f44[t]*g44[t] - 118736516177370*Sqrt[3]* lu1*f22n[t]*f44[t]*g44[t] - 4314066534405810*Sqrt[3]*lu1^2*f22n[t]* f44[t]*g44[t] + 232857472815144450*Sqrt[3]*lu1^3*f22n[t]*f44[t]* g44[t] - 680222827852672650*Sqrt[3]*lu1^4*f22n[t]*f44[t]*g44[t] - 66521557756920425250*Sqrt[3]*lu1^5*f22n[t]*f44[t]*g44[t] + 636804092665008845850*Sqrt[3]*lu1^6*f22n[t]*f44[t]*g44[t] + 5316048468759097237350*Sqrt[3]*lu1^7*f22n[t]*f44[t]*g44[t] - 82193249396372495649450*Sqrt[3]*lu1^8*f22n[t]*f44[t]*g44[t] - 200721834156703807447500*Sqrt[3]*lu1^9*f22n[t]*f44[t]*g44[t] + 2637901530453673767454080*Sqrt[3]*lu1^10*f22n[t]*f44[t]*g44[t] + 3591792171494569862645280*Sqrt[3]*lu1^11*f22n[t]*f44[t]*g44[t] - 71008353586916168650150560*Sqrt[3]*lu1^12*f22n[t]*f44[t]*g44[t] - 265606810630420320171364800*Sqrt[3]*lu1^13*f22n[t]*f44[t]*g44[t] - 295813175727894457939488000*Sqrt[3]*lu1^14*f22n[t]*f44[t]*g44[t] - 90140473401992525453760000*Sqrt[3]*lu1^15*f22n[t]*f44[t]*g44[t] - 28123470922806*f42n[t]*f44[t]*g44[t] + 1014907031137314*lu1*f42n[t]* f44[t]*g44[t] + 48462114270194478*lu1^2*f42n[t]*f44[t]*g44[t] - 1179362417037543270*lu1^3*f42n[t]*f44[t]*g44[t] - 6386701442679185166*lu1^4*f42n[t]*f44[t]*g44[t] - 13808514698235467154*lu1^5*f42n[t]*f44[t]*g44[t] - 2098871145379652030982*lu1^6*f42n[t]*f44[t]*g44[t] + 84355544260035222510798*lu1^7*f42n[t]*f44[t]*g44[t] + 527958824004802608466860*lu1^8*f42n[t]*f44[t]*g44[t] - 7033839576666850424359512*lu1^9*f42n[t]*f44[t]*g44[t] - 23252937973504198651644624*lu1^10*f42n[t]*f44[t]*g44[t] + 89596102546013176333029600*lu1^11*f42n[t]*f44[t]*g44[t] + 480077570436469110826104384*lu1^12*f42n[t]*f44[t]*g44[t] + 766549183248115776371076480*lu1^13*f42n[t]*f44[t]*g44[t] + 517176276939138468079814400*lu1^14*f42n[t]*f44[t]*g44[t] + 126225819586321281348480000*lu1^15*f42n[t]*f44[t]*g44[t] + 297161559954*f42[t]*f44n[t]*g44[t] + 124100002935594*lu1*f42[t]* f44n[t]*g44[t] - 23573784636711162*lu1^2*f42[t]*f44n[t]*g44[t] + 339432761621552130*lu1^3*f42[t]*f44n[t]*g44[t] + 25096307374040598234*lu1^4*f42[t]*f44n[t]*g44[t] - 272210086136780489754*lu1^5*f42[t]*f44n[t]*g44[t] - 3870604067311607201982*lu1^6*f42[t]*f44n[t]*g44[t] + 8482637845841626526598*lu1^7*f42[t]*f44n[t]*g44[t] + 191614144839029535093660*lu1^8*f42[t]*f44n[t]*g44[t] + 1549156673865833110737288*lu1^9*f42[t]*f44n[t]*g44[t] - 7099568795525214196523664*lu1^10*f42[t]*f44n[t]*g44[t] - 42902750207509669969621920*lu1^11*f42[t]*f44n[t]*g44[t] + 10950470903849563654311744*lu1^12*f42[t]*f44n[t]*g44[t] + 259435723238839448419063680*lu1^13*f42[t]*f44n[t]*g44[t] + 348509841132508547948870400*lu1^14*f42[t]*f44n[t]*g44[t] + 127694192153940833258880000*lu1^15*f42[t]*f44n[t]*g44[t] + 162874167795*Sqrt[70]*f40[t]*f42[t]*g44n[t] - 686231425305*Sqrt[70]* lu1*f40[t]*f42[t]*g44n[t] - 745673207979015*Sqrt[70]*lu1^2*f40[t]* f42[t]*g44n[t] + 3950591471618715*Sqrt[70]*lu1^3*f40[t]*f42[t]* g44n[t] + 466412303317243095*Sqrt[70]*lu1^4*f40[t]*f42[t]*g44n[t] + 4442092093352880945*Sqrt[70]*lu1^5*f40[t]*f42[t]*g44n[t] - 2454852554315894925*Sqrt[70]*lu1^6*f40[t]*f42[t]*g44n[t] - 2955648667941149816655*Sqrt[70]*lu1^7*f40[t]*f42[t]*g44n[t] - 10170538521399116557470*Sqrt[70]*lu1^8*f40[t]*f42[t]*g44n[t] + 204294828154335364321740*Sqrt[70]*lu1^9*f40[t]*f42[t]*g44n[t] + 62191405652903581831560*Sqrt[70]*lu1^10*f40[t]*f42[t]*g44n[t] - 1687890135882838946125680*Sqrt[70]*lu1^11*f40[t]*f42[t]*g44n[t] - 877520913227398005040800*Sqrt[70]*lu1^12*f40[t]*f42[t]*g44n[t] + 4241855139826048460424000*Sqrt[70]*lu1^13*f40[t]*f42[t]*g44n[t] + 5095541159352892014480000*Sqrt[70]*lu1^14*f40[t]*f42[t]*g44n[t] + 1574937086965607534400000*Sqrt[70]*lu1^15*f40[t]*f42[t]*g44n[t] - 297161559954*f42[t]*f44[t]*g44n[t] - 124100002935594*lu1*f42[t]* f44[t]*g44n[t] + 23573784636711162*lu1^2*f42[t]*f44[t]*g44n[t] - 339432761621552130*lu1^3*f42[t]*f44[t]*g44n[t] - 25096307374040598234*lu1^4*f42[t]*f44[t]*g44n[t] + 272210086136780489754*lu1^5*f42[t]*f44[t]*g44n[t] + 3870604067311607201982*lu1^6*f42[t]*f44[t]*g44n[t] - 8482637845841626526598*lu1^7*f42[t]*f44[t]*g44n[t] - 191614144839029535093660*lu1^8*f42[t]*f44[t]*g44n[t] - 1549156673865833110737288*lu1^9*f42[t]*f44[t]*g44n[t] + 7099568795525214196523664*lu1^10*f42[t]*f44[t]*g44n[t] + 42902750207509669969621920*lu1^11*f42[t]*f44[t]*g44n[t] - 10950470903849563654311744*lu1^12*f42[t]*f44[t]*g44n[t] - 259435723238839448419063680*lu1^13*f42[t]*f44[t]*g44n[t] - 348509841132508547948870400*lu1^14*f42[t]*f44[t]*g44n[t] - 127694192153940833258880000*lu1^15*f42[t]*f44[t]*g44n[t] + 2386038252780*Sqrt[3]*f22n[t]*f44n[t]*g44n[t] - 118736516177370*Sqrt[3]*lu1*f22n[t]*f44n[t]*g44n[t] - 4314066534405810*Sqrt[3]*lu1^2*f22n[t]*f44n[t]*g44n[t] + 232857472815144450*Sqrt[3]*lu1^3*f22n[t]*f44n[t]*g44n[t] - 680222827852672650*Sqrt[3]*lu1^4*f22n[t]*f44n[t]*g44n[t] - 66521557756920425250*Sqrt[3]*lu1^5*f22n[t]*f44n[t]*g44n[t] + 636804092665008845850*Sqrt[3]*lu1^6*f22n[t]*f44n[t]*g44n[t] + 5316048468759097237350*Sqrt[3]*lu1^7*f22n[t]*f44n[t]*g44n[t] - 82193249396372495649450*Sqrt[3]*lu1^8*f22n[t]*f44n[t]*g44n[t] - 200721834156703807447500*Sqrt[3]*lu1^9*f22n[t]*f44n[t]*g44n[t] + 2637901530453673767454080*Sqrt[3]*lu1^10*f22n[t]*f44n[t]*g44n[t] + 3591792171494569862645280*Sqrt[3]*lu1^11*f22n[t]*f44n[t]*g44n[t] - 71008353586916168650150560*Sqrt[3]*lu1^12*f22n[t]*f44n[t]*g44n[t] - 265606810630420320171364800*Sqrt[3]*lu1^13*f22n[t]*f44n[t]*g44n[t] - 295813175727894457939488000*Sqrt[3]*lu1^14*f22n[t]*f44n[t]*g44n[t] - 90140473401992525453760000*Sqrt[3]*lu1^15*f22n[t]*f44n[t]*g44n[t] - 28123470922806*f42n[t]*f44n[t]*g44n[t] + 1014907031137314*lu1*f42n[t]* f44n[t]*g44n[t] + 48462114270194478*lu1^2*f42n[t]*f44n[t]*g44n[t] - 1179362417037543270*lu1^3*f42n[t]*f44n[t]*g44n[t] - 6386701442679185166*lu1^4*f42n[t]*f44n[t]*g44n[t] - 13808514698235467154*lu1^5*f42n[t]*f44n[t]*g44n[t] - 2098871145379652030982*lu1^6*f42n[t]*f44n[t]*g44n[t] + 84355544260035222510798*lu1^7*f42n[t]*f44n[t]*g44n[t] + 527958824004802608466860*lu1^8*f42n[t]*f44n[t]*g44n[t] - 7033839576666850424359512*lu1^9*f42n[t]*f44n[t]*g44n[t] - 23252937973504198651644624*lu1^10*f42n[t]*f44n[t]*g44n[t] + 89596102546013176333029600*lu1^11*f42n[t]*f44n[t]*g44n[t] + 480077570436469110826104384*lu1^12*f42n[t]*f44n[t]*g44n[t] + 766549183248115776371076480*lu1^13*f42n[t]*f44n[t]*g44n[t] + 517176276939138468079814400*lu1^14*f42n[t]*f44n[t]*g44n[t] + 126225819586321281348480000*lu1^15*f42n[t]*f44n[t]*g44n[t] + 221*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (5*Sqrt[3]*f22n[t]*(3*Sqrt[5]*(918721359 - 19525644963*lu1 - 256823427162*lu1^2 + 9035363191210*lu1^3 - 570987494422509*lu1^ 4 - 386812010795575*lu1^5 + 37968850447228016*lu1^6 + 505708287382416432*lu1^7 + 1247178416248641448*lu1^8 - 509826553336800464*lu1^9 + 967078293073470096*lu1^10 + 7298494758396621920*lu1^11 + 5387019444792724800*lu1^12 + 816684517082448000*lu1^13)*f40[t] + 3*Sqrt[14]* (814327803 - 7579066671*lu1 - 459949848498*lu1^2 - 8549588016286*lu1^3 + 23417084034911*lu1^4 + 4347538877271149* lu1^5 - 5539028830834880*lu1^6 - 352097246110849280*lu1^7 - 794454765095066504*lu1^8 + 1087558752577032656*lu1^9 + 3439259331657928208*lu1^10 + 2878254450776006240*lu1^11 + 1911044345424974400*lu1^12 + 684619826316048000*lu1^13)* f44[t] + 11*(-1 + 7*lu1 + 170*lu1^2)^2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)* (26*(9621 - 84747*lu1 - 1863751*lu1^2 + 5788027*lu1^3 - 27025214*lu1^4 + 3601280*lu1^5)*g20[t] - 9*(3*Sqrt[5]*(1059 - 5923*lu1 - 333399*lu1^2 + 868623*lu1^3 - 3681276*lu1^4 + 1444420*lu1^5)*g40[t] + 5*Sqrt[14]* (-1119 + 15935*lu1 - 12157*lu1^2 - 259931*lu1^3 + 1882060*lu1^4 + 1451820*lu1^5)*g44[t]))) + 3*(Sqrt[5]*f40[t]*(33*(1197501165 - 1394260533*lu1 - 482227644060* lu1^2 - 22244812382784*lu1^3 - 22412930186923*lu1^4 + 5054653495603795*lu1^5 - 1253871218678006*lu1^6 - 198859727252516350*lu1^7 - 615025816469838528*lu1^8 - 289817617027317296*lu1^9 + 1546411745821268480*lu1^10 + 2731527257940332000*lu1^11 + 1720794922248144000*lu1^12 + 499531369352960000*lu1^13)*f42n[t] - (-9 + 45*lu1 + 1648*lu1^2 + 3116*lu1^3 + 1360*lu1^4)*(5*Sqrt[3]*(-1582266 - 18681877*lu1 + 2052239109*lu1^2 + 15650206812*lu1^3 + 1007425570796*lu1^4 - 11676426302789*lu1^5 - 44295635344035* lu1^6 - 181831595048970*lu1^7 + 501880928945500*lu1^8 + 373937549055000*lu1^9)*g22n[t] + 33*(-1686594 + 54577529*lu1 - 274150449*lu1^2 - 6969022812*lu1^3 + 188476003424*lu1^4 - 624287205191*lu1^5 - 9125284723761* lu1^6 + 5117984355570*lu1^7 + 125242571110900*lu1^8 + 133059536421000*lu1^9)*g42n[t])) + f42n[t]*(15*Sqrt[14]*(-1269038097 - 1561289175*lu1 + 554636229948*lu1^2 + 22521830864784*lu1^3 - 132810376858185* lu1^4 - 6080976723201503*lu1^5 + 10391791996117502*lu1^6 + 380304508710918342*lu1^7 + 286481022022631536*lu1^8 - 1096119229836218896*lu1^9 + 225702664928885504*lu1^10 + 2390409181123197600*lu1^11 + 815614942080220800*lu1^12 + 22265892908672000*lu1^13)*f44[t] - (-1 + 7*lu1 + 170*lu1^2)*( 5*(423274572 - 11955525777*lu1 - 60048265122*lu1^2 + 2569552215102*lu1^3 - 4724595413412*lu1^4 + 2643230009231* lu1^5 + 209103163876642*lu1^6 - 13919610855936996*lu1^7 - 34316282538139312*lu1^8 - 8926645681499312*lu1^9 + 21705637287288480*lu1^10 + 8121094422907200*lu1^11)* g20[t] + 3*(33*Sqrt[5]*(-1237950 + 37794942*lu1 + 702308379* lu1^2 - 22521130736*lu1^3 + 16667641340*lu1^4 + 2143838988970*lu1^5 + 7384684945799*lu1^6 - 8752089184272* lu1^7 + 82407922252168*lu1^8 + 675217254384640*lu1^9 + 944105411906800*lu1^10 + 295796590320000*lu1^11)*g40[t] + 5*Sqrt[14]*(4100922 - 231989598*lu1 + 5974693815*lu1^2 + 23221986664*lu1^3 - 663748565844*lu1^4 - 2661576801954* lu1^5 + 64923794257315*lu1^6 - 412559321235712*lu1^7 - 977594752788888*lu1^8 + 1474144463062464*lu1^9 + 3109955575298480*lu1^10 + 819786704822400*lu1^11)* g44[t]))) - 5*Sqrt[14]*(-7*(9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*(f44n[t]* (Sqrt[3]*(925398 - 20906253*lu1 - 263425626*lu1^2 + 4415406172*lu1^3 - 69177158964*lu1^4 + 55403430909* lu1^5 + 3352779868408*lu1^6 + 7960253774820*lu1^7 + 5215462266000*lu1^8)*g22[t] + 9*(-88650 + 844959*lu1 + 87338396*lu1^2 - 226847094*lu1^3 + 4030037518*lu1^4 - 82084648813*lu1^5 - 349888978728*lu1^6 - 72938169860* lu1^7 + 316026589200*lu1^8)*g42[t]) - f44[t]* (Sqrt[3]*(925398 - 20906253*lu1 - 263425626*lu1^2 + 4415406172*lu1^3 - 69177158964*lu1^4 + 55403430909* lu1^5 + 3352779868408*lu1^6 + 7960253774820*lu1^7 + 5215462266000*lu1^8)*g22n[t] + 9*(-88650 + 844959*lu1 + 87338396*lu1^2 - 226847094*lu1^3 + 4030037518*lu1^4 - 82084648813*lu1^5 - 349888978728*lu1^6 - 72938169860* lu1^7 + 316026589200*lu1^8)*g42n[t])) + Sqrt[3]*f22[t]*( (814327803 - 7579066671*lu1 - 459949848498*lu1^2 - 8549588016286*lu1^3 + 23417084034911*lu1^4 + 4347538877271149*lu1^5 - 5539028830834880*lu1^6 - 352097246110849280*lu1^7 - 794454765095066504*lu1^8 + 1087558752577032656*lu1^9 + 3439259331657928208*lu1^10 + 2878254450776006240*lu1^11 + 1911044345424974400*lu1^12 + 684619826316048000*lu1^13)*f44n[t] - 165*(-1 + 7*lu1 + 170*lu1^2)^2*(30213 - 661878*lu1 - 20194488*lu1^2 + 296938290*lu1^3 + 282175547*lu1^4 - 5396853532*lu1^5 + 29272923688*lu1^6 + 104795512000*lu1^7 + 95483966640* lu1^8 + 26829633600*lu1^9)*g44n[t]) + 3*f42[t]*( (-1269038097 - 1561289175*lu1 + 554636229948*lu1^2 + 22521830864784*lu1^3 - 132810376858185*lu1^4 - 6080976723201503*lu1^5 + 10391791996117502*lu1^6 + 380304508710918342*lu1^7 + 286481022022631536*lu1^8 - 1096119229836218896*lu1^9 + 225702664928885504*lu1^10 + 2390409181123197600*lu1^11 + 815614942080220800*lu1^12 + 22265892908672000*lu1^13)*f44n[t] - (-4100922 + 260696052* lu1 - 6901464261*lu1^2 - 20837361619*lu1^3 + 1842000421042* lu1^4 + 1963074573926*lu1^5 - 196392088064473*lu1^6 + 414557824704737*lu1^7 + 9126724527882454*lu1^8 - 78452392342655720*lu1^9 - 158982052307972192*lu1^10 + 271554461042885840*lu1^11 + 534430954734498400*lu1^12 + 139363739819808000*lu1^13)*g44n[t])))) - 221*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]*(10*(1 + 2*lu1)*f22n[t]* (90*(210106548 - 3061640907*lu1 - 96168778977*lu1^2 - 845999995649*lu1^3 - 29604015153563*lu1^4 + 850195819120743*lu1^ 5 - 365906391071275*lu1^6 - 33679652902240663*lu1^7 - 3652311635303553*lu1^8 + 179357729795250700*lu1^9 + 346588058412452020*lu1^10 + 302652515095386000*lu1^11 + 89704499875956000*lu1^12)*f42[t] + 77*(-1 + 7*lu1 + 170*lu1^2)^ 2*(2187 - 56700*lu1 - 1148256*lu1^2 + 25696782*lu1^3 - 152025759*lu1^4 - 112798138*lu1^5 + 1983708084*lu1^6 + 3476459080*lu1^7 + 1436080800*lu1^8)*(221*Sqrt[3]*g22[t] - 405*g42[t])) - 3*(10*f42[t]*(Sqrt[3]*(-3120455043 - 16067354220*lu1 + 1719794906742*lu1^2 + 52611868109731* lu1^3 - 845342675724755*lu1^4 - 16864661354068462*lu1^5 + 71723579250622148*lu1^6 + 1475536605150190983*lu1^7 - 486294514846130596*lu1^8 - 7201644762810430704*lu1^9 + 5901616305886603216*lu1^10 + 22385198527355946000*lu1^11 + 11114300940354387200*lu1^12 + 2083289240506208000*lu1^13)* f42n[t] - (-3 + 19*lu1 + 524*lu1^2 + 340*lu1^3)*( (95057298 - 1393504674*lu1 - 103954709575*lu1^2 + 963605114646*lu1^3 + 2483353839900*lu1^4 + 52283148826046* lu1^5 - 402652592611403*lu1^6 - 5105434555865970*lu1^7 - 4425320275572708*lu1^8 + 9166949072281480*lu1^9 + 9402968901648000*lu1^10)*g22n[t] + Sqrt[3]*(9176454 + 174510939*lu1 - 28110576685*lu1^2 + 116347976532*lu1^3 + 901901357520*lu1^4 + 24058970740883*lu1^5 - 104032287882197* lu1^6 - 892929637806330*lu1^7 - 109329863523156*lu1^8 + 3550922285035480*lu1^9 + 3238618102994400*lu1^10)* g42n[t])) - Sqrt[210]*f40[t]*(2*(-6807687255 - 22202465868* lu1 + 4076415486870*lu1^2 + 123357550406951*lu1^3 - 868666551230383*lu1^4 - 30903113175771110*lu1^5 + 145491451448654044*lu1^6 + 2102017079421811995*lu1^7 + 1270630402012473172*lu1^8 - 6563550461786492976*lu1^9 - 1086022237517837680*lu1^10 + 13071586305492306000*lu1^11 + 8827052287872592000*lu1^12 + 1673196017762080000*lu1^13)*f44n[ t] + (108977778 - 2982711663*lu1 - 54234925368*lu1^2 + 1173382149223*lu1^3 + 2565153758918*lu1^4 + 34984045128847* lu1^5 + 125426802710692*lu1^6 - 19723206220369127*lu1^7 - 21548528600744932*lu1^8 + 622202096425158512*lu1^9 + 1386675967289817440*lu1^10 - 543612069502348400*lu1^11 - 2450286991149832000*lu1^12 - 940612518177360000*lu1^13)*g44n[ t]) - (-1 + 7*lu1 + 170*lu1^2)*(Sqrt[3]*f44n[t]*( 5*Sqrt[14]*(29081430 - 736396362*lu1 - 23704876869*lu1^2 + 432912038360*lu1^3 + 6230965658848*lu1^4 - 38619461407422* lu1^5 - 488095406066065*lu1^6 - 2620842523778696*lu1^7 - 1775558863868824*lu1^8 + 3369832791147264*lu1^9 + 3962991687778800*lu1^10 + 1562928462636800*lu1^11)*g20[t] - 33*Sqrt[70]*(432810 - 10182231*lu1 - 475319127*lu1^2 + 7056426068*lu1^3 + 159363633520*lu1^4 - 342658703695* lu1^5 - 9144279324047*lu1^6 - 112517630766534*lu1^7 - 75957106269844*lu1^8 + 478355066413880*lu1^9 + 698017200329600*lu1^10 + 221076101400000*lu1^11)*g40[t] + 70*(-3818934 + 207270405*lu1 - 7268122275*lu1^2 + 19359274720* lu1^3 + 895610172576*lu1^4 - 389416895931*lu1^5 - 77444171480459*lu1^6 - 68965399542802*lu1^7 + 461945933587044*lu1^8 + 393811096112424*lu1^9 - 200522138559520*lu1^10 + 31134780062400*lu1^11)*g44[t]) + 70*((-3 + 13*lu1 + 38*lu1^2)*f42n[t]*((-11291796 + 255606585* lu1 + 1549872205*lu1^2 - 23895347843*lu1^3 + 474557681869*lu1^4 - 4297654637986*lu1^5 - 58639283261210* lu1^6 - 21374802401384*lu1^7 + 92943416536840*lu1^8 + 36344163660000*lu1^9)*g22[t] + 3*Sqrt[3]*(-258732 + 13824555*lu1 - 472963295*lu1^2 - 441807747*lu1^3 + 45107977633*lu1^4 - 54319980060*lu1^5 - 6183222163434* lu1^6 + 8248454508352*lu1^7 + 28381013204840*lu1^8 + 9029470615200*lu1^9)*g42[t]) + Sqrt[3]*(3818934 - 207270405*lu1 + 7268122275*lu1^2 - 19359274720*lu1^3 - 895610172576*lu1^4 + 389416895931*lu1^5 + 77444171480459* lu1^6 + 68965399542802*lu1^7 - 461945933587044*lu1^8 - 393811096112424*lu1^9 + 200522138559520*lu1^10 - 31134780062400*lu1^11)*f44[t]*g44n[t]))))))/ (51102051*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) eqG44f = (cap*(1105*Sqrt[14]*(-3 + 31*lu1 + 6920*lu1^2 + 13692*lu1^3)* (f22[t] - I*f22n[t])^2*(4290*(241947 - 7334820*lu1 - 105992379*lu1^2 + 3327626082*lu1^3 - 30413609835*lu1^4 + 329077840264*lu1^5 + 5474583053995*lu1^6 - 75460872712918*lu1^7 - 275345741859696*lu1^8 + 770084813752720*lu1^9 + 2692271045514800*lu1^10 + 2268272108468000*lu1^11 + 587781736080000*lu1^12)*f20[t] - 6*Sqrt[5]*(210106548 - 3061640907*lu1 - 96168778977*lu1^2 - 845999995649*lu1^3 - 29604015153563*lu1^4 + 850195819120743*lu1^5 - 365906391071275*lu1^6 - 33679652902240663*lu1^7 - 3652311635303553*lu1^8 + 179357729795250700*lu1^9 + 346588058412452020*lu1^10 + 302652515095386000*lu1^11 + 89704499875956000*lu1^12)*f40[t] - 77*(-1 + 7*lu1 + 170*lu1^2)^2* (2187 - 56700*lu1 - 1148256*lu1^2 + 25696782*lu1^3 - 152025759*lu1^4 - 112798138*lu1^5 + 1983708084*lu1^6 + 3476459080*lu1^7 + 1436080800*lu1^8)*(221*g20[t] - 27*Sqrt[5]*g40[t])) - 1105*Sqrt[14]*(-3 + 31*lu1 + 6920*lu1^2 + 13692*lu1^3)*(f22[t] + I*f22n[t])^2* (6*Sqrt[5]*(210106548 - 3061640907*lu1 - 96168778977*lu1^2 - 845999995649*lu1^3 - 29604015153563*lu1^4 + 850195819120743* lu1^5 - 365906391071275*lu1^6 - 33679652902240663*lu1^7 - 3652311635303553*lu1^8 + 179357729795250700*lu1^9 + 346588058412452020*lu1^10 + 302652515095386000*lu1^11 + 89704499875956000*lu1^12)*f40[t] + 77*(-1 + 7*lu1 + 170*lu1^2)^2* (2187 - 56700*lu1 - 1148256*lu1^2 + 25696782*lu1^3 - 152025759*lu1^4 - 112798138*lu1^5 + 1983708084*lu1^6 + 3476459080*lu1^7 + 1436080800*lu1^8)*(221*g20[t] - 27*Sqrt[5]*g40[t])) + 663*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (7150*Sqrt[14]*(241947 - 6850926*lu1 - 120662019*lu1^2 + 3115641324*lu1^3 - 23758357671*lu1^4 + 268250620594*lu1^5 + 6132738734523*lu1^6 - 64511706604928*lu1^7 - 426267487285532* lu1^8 + 219393330033328*lu1^9 + 4232440673020240*lu1^10 + 7652814199497600*lu1^11 + 5124325953016000*lu1^12 + 1175563472160000*lu1^13)*(f22[t] + I*f22n[t])^2 + 15*Sqrt[14]*(921808053 + 1533777912*lu1 - 589155145032*lu1^2 - 17686420574305*lu1^3 + 5830968876407*lu1^4 + 3509612955425662* lu1^5 - 18441968049507974*lu1^6 - 156620118567905253*lu1^7 - 439231229214650942*lu1^8 - 159523575255984432*lu1^9 + 1746909635851110224*lu1^10 + 2328403055465910000*lu1^11 + 571812163120448800*lu1^12 + 102523305686032000*lu1^13)* (f42[t] + I*f42n[t])^2 - 5*Sqrt[14]*(f22[t] + I*f22n[t])* (Sqrt[3]*(814327803 - 7579066671*lu1 - 459949848498*lu1^2 - 8549588016286*lu1^3 + 23417084034911*lu1^4 + 4347538877271149* lu1^5 - 5539028830834880*lu1^6 - 352097246110849280*lu1^7 - 794454765095066504*lu1^8 + 1087558752577032656*lu1^9 + 3439259331657928208*lu1^10 + 2878254450776006240*lu1^11 + 1911044345424974400*lu1^12 + 684619826316048000*lu1^13)* (f42[t] + I*f42n[t]) + 11*(-1 + 7*lu1 + 170*lu1^2)^2* (-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)* (13*(-9627 + 108739*lu1 + 963287*lu1^2 - 4163999*lu1^3 + 22074868*lu1^4 + 3764140*lu1^5)*(g22[t] + I*g22n[t]) - 15*Sqrt[3]*(-1119 + 15935*lu1 - 12157*lu1^2 - 259931*lu1^3 + 1882060*lu1^4 + 1451820*lu1^5)*(g42[t] + I*g42n[t]))) - 5*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)*(f42[t] + I*f42n[t])* (Sqrt[3]*(29081430 - 736396362*lu1 - 23704876869*lu1^2 + 432912038360*lu1^3 + 6230965658848*lu1^4 - 38619461407422*lu1^ 5 - 488095406066065*lu1^6 - 2620842523778696*lu1^7 - 1775558863868824*lu1^8 + 3369832791147264*lu1^9 + 3962991687778800*lu1^10 + 1562928462636800*lu1^11)* (g22[t] + I*g22n[t]) + 3*(-4450194 + 219561336*lu1 - 4287933201*lu1^2 - 33124125988*lu1^3 - 371975734536*lu1^4 + 12789980895300*lu1^5 + 47550845456891*lu1^6 - 406892668300160* lu1^7 - 309931939292280*lu1^8 + 3744899881630176*lu1^9 + 5830174413830320*lu1^10 + 1817122669353600*lu1^11)* (g42[t] + I*g42n[t])) - 14*(3 + 2*lu1)* (-7*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)* (f44[t] + I*f44n[t])*(5*(699678 - 11723607*lu1 - 393980952* lu1^2 + 2116107082*lu1^3 - 32383134510*lu1^4 + 363481018353* lu1^5 + 2423483633728*lu1^6 + 2640037400820*lu1^7 + 104141898000*lu1^8)*g20[t] + 9*Sqrt[5]*(-72450 + 1366869*lu1 + 28787096*lu1^2 - 161618670*lu1^3 + 2004510226*lu1^4 - 35484884179*lu1^5 - 213715498800*lu1^6 - 215684505500*lu1^7 + 32795322000*lu1^8)*g40[t]) + 3*Sqrt[5]*f40[t]*(2*(-289276425 - 633717642*lu1 + 176590838728* lu1^2 + 5202069658077*lu1^3 - 31507537658445*lu1^4 - 1238586897571680*lu1^5 + 6908149092743786*lu1^6 + 74555436345839861*lu1^7 + 25493470215443284*lu1^8 - 212701726926058440*lu1^9 - 31319367038044000*lu1^10 + 251056678559570000*lu1^11 + 67470845407000000*lu1^12)*( f44[t] + I*f44n[t]) + (55062 - 13563525*lu1 + 216270298* lu1^2 + 9616720835*lu1^3 + 176318672302*lu1^4 - 5544288668135*lu1^5 - 43297303977242*lu1^6 + 429432089864225* lu1^7 + 3292472055405692*lu1^8 + 13278944975753720*lu1^9 - 8983181168720000*lu1^10 - 48675570268558000*lu1^11 - 25850757002280000*lu1^12)*(g44[t] + I*g44n[t])))) + 663*(-3 + 37*lu1 + 6846*lu1^2)*(f22[t] + I*f22n[t])* (Sqrt[70]*f40[t]*(Sqrt[3]*(7830590220 - 27850280859*lu1 - 1981848438930*lu1^2 - 144619017493957*lu1^3 - 555534312054304* lu1^4 + 33601440874965835*lu1^5 + 96177793909119862*lu1^6 - 964717578077391675*lu1^7 - 4877636416448562944*lu1^8 - 4844098690376039808*lu1^9 + 10825489672024306640*lu1^10 + 26642651754288054000*lu1^11 + 19965054363618952000*lu1^12 + 5710832716516480000*lu1^13)*(f42[t] + I*f42n[t]) + 2*(-1 + 7*lu1 + 170*lu1^2)*(5*(-16337916 + 350879490*lu1 + 9775541730*lu1^2 - 130899886389*lu1^3 + 251482631918*lu1^4 - 3109179529232*lu1^5 + 13942783285130*lu1^6 + 375619640126535* lu1^7 + 1158269461265282*lu1^8 + 1874309461573796*lu1^9 + 1520743495985080*lu1^10 + 330033674084800*lu1^11)*(g22[t] + I*g22n[t]) - Sqrt[3]*(-45102204 + 1165125861*lu1 + 14083006116*lu1^2 - 353926446917*lu1^3 + 4328373584682* lu1^4 - 2649229458057*lu1^5 - 175024477696040*lu1^6 - 307180247536099*lu1^7 + 3473089138273998*lu1^8 + 13269389970156780*lu1^9 + 14705736012122600*lu1^10 + 4474858838016000*lu1^11)*(g42[t] + I*g42n[t]))) + 7*((9 - 96*lu1 - 1439*lu1^2 + 6514*lu1^3 + 24332*lu1^4 + 12920*lu1^5)*(Sqrt[42]*(f42[t] + I*f42n[t])*( 5*(925398 - 20906253*lu1 - 263425626*lu1^2 + 4415406172* lu1^3 - 69177158964*lu1^4 + 55403430909*lu1^5 + 3352779868408*lu1^6 + 7960253774820*lu1^7 + 5215462266000* lu1^8)*g20[t] - 3*Sqrt[5]*(435150 - 13369317*lu1 + 54760022*lu1^2 + 2920590300*lu1^3 - 45433146188*lu1^4 - 232056138763*lu1^5 + 1587032623080*lu1^6 + 6287676324100* lu1^7 + 5389612242000*lu1^8)*g40[t]) + 32340*(360 - 11199*lu1 + 80359*lu1^2 + 1834377*lu1^3 - 25620367*lu1^4 - 143197094*lu1^5 + 1066833684*lu1^6 + 4204642280*lu1^7 + 3458330400*lu1^8)*(f44[t] + I*f44n[t])*(5*g22[t] - (5*I)*g22n[t] - Sqrt[3]*(g42[t] - I*g42n[t]))) + 10*(f22[t] - I*f22n[t])*((-411661791 - 180373248*lu1 + 140059090059*lu1^2 + 13631543235228*lu1^3 - 113543909166835* lu1^4 - 4166369119884524*lu1^5 + 19299655778555505*lu1^6 + 363434627964562636*lu1^7 + 202563295094281550*lu1^8 - 1719625607404526028*lu1^9 + 632766445766680712*lu1^10 + 5571669819521741200*lu1^11 + 3002164847132481600*lu1^12 + 28269775419984000*lu1^13)*(f44[t] + I*f44n[t]) + 33*(-1 + 7*lu1 + 170*lu1^2)^2*(59211 - 1111698*lu1 - 47982888*lu1^2 + 501880110*lu1^3 + 5637429925*lu1^4 - 9476582108*lu1^5 + 72523922504*lu1^6 + 211334799584*lu1^7 + 125081876880*lu1^8 + 13517380800*lu1^9)*(g44[t] + I*g44n[t])) + 10*Sqrt[3]*(f42[t] - I*f42n[t])* ((1350006264 + 142397379*lu1 - 645611326146*lu1^2 - 25112375748711*lu1^3 + 15379119684024*lu1^4 + 5677232504292101*lu1^5 - 10683833845747466*lu1^6 - 259010775728265489*lu1^7 - 606940940837593588*lu1^8 - 23843493568690880*lu1^9 + 1615619456398406512*lu1^10 + 2137992354479600400*lu1^11 + 1098892142610662400*lu1^12 + 333931601841376000*lu1^13)*(f44[t] + I*f44n[t]) - (6659226 - 203722191*lu1 - 3929322300*lu1^2 + 123143899015* lu1^3 + 98899908578*lu1^4 - 13873484704769*lu1^5 + 12265975144024*lu1^6 + 604890071891833*lu1^7 + 2984687430501704*lu1^8 - 1621057489351072*lu1^9 + 68959589599597184*lu1^10 + 382778845813269520*lu1^11 + 481689505956675200*lu1^12 + 139207474825104000*lu1^13)*( g44[t] + I*g44n[t])))) - 3*(-221*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (15*Sqrt[14]*(921808053 + 1533777912*lu1 - 589155145032*lu1^2 - 17686420574305*lu1^3 + 5830968876407*lu1^4 + 3509612955425662* lu1^5 - 18441968049507974*lu1^6 - 156620118567905253*lu1^7 - 439231229214650942*lu1^8 - 159523575255984432*lu1^9 + 1746909635851110224*lu1^10 + 2328403055465910000*lu1^11 + 571812163120448800*lu1^12 + 102523305686032000*lu1^13)* (f42[t] - I*f42n[t])^2 - 5*Sqrt[14]*(-1 + 7*lu1 + 170*lu1^2)* (f42[t] - I*f42n[t])*(Sqrt[3]*(29081430 - 736396362*lu1 - 23704876869*lu1^2 + 432912038360*lu1^3 + 6230965658848* lu1^4 - 38619461407422*lu1^5 - 488095406066065*lu1^6 - 2620842523778696*lu1^7 - 1775558863868824*lu1^8 + 3369832791147264*lu1^9 + 3962991687778800*lu1^10 + 1562928462636800*lu1^11)*(g22[t] - I*g22n[t]) + 3*(-4450194 + 219561336*lu1 - 4287933201*lu1^2 - 33124125988* lu1^3 - 371975734536*lu1^4 + 12789980895300*lu1^5 + 47550845456891*lu1^6 - 406892668300160*lu1^7 - 309931939292280*lu1^8 + 3744899881630176*lu1^9 + 5830174413830320*lu1^10 + 1817122669353600*lu1^11)*(g42[t] - I*g42n[t])) - 14*(3 + 2*lu1)*((f44[t] - I*f44n[t])*( 6*Sqrt[5]*(-289276425 - 633717642*lu1 + 176590838728*lu1^2 + 5202069658077*lu1^3 - 31507537658445*lu1^4 - 1238586897571680*lu1^5 + 6908149092743786*lu1^6 + 74555436345839861*lu1^7 + 25493470215443284*lu1^8 - 212701726926058440*lu1^9 - 31319367038044000*lu1^10 + 251056678559570000*lu1^11 + 67470845407000000*lu1^12)* f40[t] - 7*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*(5*(699678 - 11723607*lu1 - 393980952*lu1^2 + 2116107082*lu1^3 - 32383134510*lu1^4 + 363481018353* lu1^5 + 2423483633728*lu1^6 + 2640037400820*lu1^7 + 104141898000*lu1^8)*g20[t] + 9*Sqrt[5]*(-72450 + 1366869*lu1 + 28787096*lu1^2 - 161618670*lu1^3 + 2004510226*lu1^4 - 35484884179*lu1^5 - 213715498800* lu1^6 - 215684505500*lu1^7 + 32795322000*lu1^8)* g40[t])) - 3*Sqrt[5]*(-55062 + 13563525*lu1 - 216270298*lu1^2 - 9616720835*lu1^3 - 176318672302*lu1^4 + 5544288668135*lu1^5 + 43297303977242*lu1^6 - 429432089864225* lu1^7 - 3292472055405692*lu1^8 - 13278944975753720*lu1^9 + 8983181168720000*lu1^10 + 48675570268558000*lu1^11 + 25850757002280000*lu1^12)*f40[t]*(g44[t] - I*g44n[t]))) + (-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)* (9*Sqrt[14]*(f42[t] - I*f42n[t])^2*(8*Sqrt[5]*(-3516632091 + 82342725795*lu1 + 3710562839457*lu1^2 - 88931554749146* lu1^3 + 13239935711751010*lu1^4 + 45790943821228753*lu1^5 - 4686987549472710875*lu1^6 - 35410062080434025196*lu1^7 - 77773821426920155937*lu1^8 - 117961658923028963190*lu1^9 - 759253567954210980700*lu1^10 + 161651975002495635000*lu1^11)* f40[t] - 7*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*( 1105*(-87915 + 1800640*lu1 + 303517344*lu1^2 - 2566630654* lu1^3 - 248993123561*lu1^4 - 1165207211274*lu1^5 - 26121803708140*lu1^6 + 12901584801000*lu1^7)*g20[t] + 3*Sqrt[5]*(-2605611 - 120543968*lu1 + 8573774904*lu1^2 + 256167614906*lu1^3 + 14108313329215*lu1^4 - 63170756689506* lu1^5 - 149666670245260*lu1^6 + 1422491693133000*lu1^7)* g40[t])) + (f42[t] - I*f42n[t])*(14*(f44[t] - I*f44n[t])*( (601886273373 + 10973338001100*lu1 - 1325644196581941*lu1^2 - 69990133670130642*lu1^3 - 214175214756520685*lu1^4 + 52698924950758729776*lu1^5 + 212045696846183342325*lu1^6 - 2325320651656570316362*lu1^7 + 16794480477324366794496* lu1^8 - 86525401331019852024480*lu1^9 - 219805139939759925664400*lu1^10 + 70133749194366976020000* lu1^11)*(f42[t] + I*f42n[t]) + 21021*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2*(340*Sqrt[3]* (-597 + 4219*lu1 + 1133842*lu1^2 + 10307885*lu1^3 + 611964941*lu1^4 + 372593550*lu1^5)*(g22[t] + I*g22n[t]) - 3*(-64851 + 1314275*lu1 + 70855079*lu1^2 + 103652689* lu1^3 + 56386428028*lu1^4 + 143578031100*lu1^5)* (g42[t] + I*g42n[t]))) - 3*(-1 + 7*lu1 + 170*lu1^2)*( Sqrt[70]*(-3 + 29*lu1 + 2310*lu1^2)*f40[t]*(2431*Sqrt[3]* (-662829 + 15261368*lu1 + 1551593756*lu1^2 - 17955519366* lu1^3 - 283025164075*lu1^4 + 479907750326*lu1^5 - 6121393709940*lu1^6 + 1104034566600*lu1^7)*(g22[t] - I*g22n[t]) + 45*(-4964919 - 73414960*lu1 + 17096100848* lu1^2 + 188283788442*lu1^3 + 5305832770787*lu1^4 - 26545507535698*lu1^5 + 19204365286020*lu1^6 + 32574195750600*lu1^7)*(g42[t] - I*g42n[t])) + 14*(640585557 - 19119322851*lu1 - 2237410114246*lu1^2 + 41933122192890*lu1^3 + 1983891795987905*lu1^4 - 10373761013186031*lu1^5 - 42520358645780832*lu1^6 - 435967484999860312*lu1^7 - 3421562360578962320*lu1^8 + 1596763928179266000*lu1^9)*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]))) + 7*((f44[t] - I*f44n[t])*( 5*(171016756785 + 1008932348772*lu1 - 318560944204569*lu1^2 - 12717412345638426*lu1^3 - 233490117200518681*lu1^4 + 9880395399126051912*lu1^5 + 109901760081643705065*lu1^6 + 44840763626935899550*lu1^7 + 4478839124012523604392*lu1^8 - 15606432377712353334960*lu1^9 - 33027776609411347010800* lu1^10 + 11698961398837458060000*lu1^11)*f40[t]^2 + 126*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*f40[t]* (442*Sqrt[5]*(90597 - 1462408*lu1 - 224967812*lu1^2 + 685757422*lu1^3 + 47366562971*lu1^4 + 969855223090* lu1^5 + 19655866570900*lu1^6 + 2202471159000*lu1^7)* g20[t] - 15*(4839567 - 80877536*lu1 - 9889138500*lu1^2 + 12204268370*lu1^3 - 1077868933127*lu1^4 + 44087057375766* lu1^5 + 916068101430860*lu1^6 + 572900375649000*lu1^7)* g40[t]) - 2*(-1 + 7*lu1 + 170*lu1^2)* (5*(f42[t] + I*f42n[t])*(221*Sqrt[3]*(9645453 - 258946035* lu1 - 27176350570*lu1^2 + 440526233010*lu1^3 + 15469474837073*lu1^4 - 82772548834911*lu1^5 - 429572359607604*lu1^6 - 4517647111456336*lu1^7 - 46584834688031360*lu1^8 + 7987982033598000*lu1^9)* (g22[t] - I*g22n[t]) - 18*(139234923 - 3064608033*lu1 - 357270218806*lu1^2 + 3501500852046*lu1^3 + 125767676315159*lu1^4 + 710512684588731*lu1^5 + 19387160590859508*lu1^6 - 142307385647614648*lu1^7 - 441598979237504480*lu1^8 + 3758304481638000*lu1^9)* (g42[t] - I*g42n[t])) - 21*(344369583 - 9457522329*lu1 - 972684095414*lu1^2 + 16512119382870*lu1^3 + 565460976668395*lu1^4 - 3570894258428829*lu1^5 - 24942941201732868*lu1^6 - 127725242013631088*lu1^7 - 1744644583020011680*lu1^8 + 300959525332074000*lu1^9)* (f44[t] + I*f44n[t])*(g44[t] - I*g44n[t]))) + 14*(f44[t] - I*f44n[t])^2*((25698631779 + 2979209299500*lu1 - 125768093692443*lu1^2 - 11523131462861166*lu1^3 + 196373867236228645*lu1^4 + 8313405458472311448*lu1^5 - 50056115584363137525*lu1^6 - 939218300186950477126*lu1^7 + 1065945986584849726008*lu1^8 - 14382971485969046801040* lu1^9 - 44416509727752177621200*lu1^10 + 12790283742095207460000*lu1^11)*(f44[t] + I*f44n[t]) - 2837835*(-1 + 7*lu1 + 170*lu1^2)^2*(495 - 23112*lu1 + 212060*lu1^2 + 11902658*lu1^3 - 355921607*lu1^4 - 1261055954*lu1^5 + 14275568460*lu1^6 + 30565873800*lu1^7)* (g44[t] + I*g44n[t])) - 60*(-17894817 + 851476296*lu1 + 41256467642*lu1^2 - 2186470938935*lu1^3 - 10081220258813* lu1^4 + 1524031212315082*lu1^5 + 13817367899552780*lu1^6 - 384456724497304147*lu1^7 - 2597839275382786648*lu1^8 + 8673401122030525240*lu1^9 - 38184712477761432800*lu1^10 + 4033424537153970000*lu1^11)*f40[t]^2*(g44[t] - I*g44n[t]))) + 23205*(-9 + 105*lu1 + 20612*lu1^2 + 13692*lu1^3)*f20[t]^2* ((98230185 - 1296128070*lu1 - 26144803617*lu1^2 - 750985990776*lu1^ 3 - 26860499378549*lu1^4 + 393592472194410*lu1^5 + 306855502405545*lu1^6 - 577325066792164*lu1^7 + 75521556788750628*lu1^8 + 90212202973821432*lu1^9 - 111058127432881280*lu1^10 - 78171515252618400*lu1^11 + 66096761577840000*lu1^12)*(f44[t] - I*f44n[t]) - 44*(-1 + 7*lu1 + 170*lu1^2)^2*(-1107 + 1809*lu1 + 1789470*lu1^2 - 2065850*lu1^3 - 644514935*lu1^4 + 489904901*lu1^5 - 3293567812*lu1^6 - 2388739740*lu1^7 + 5849751600*lu1^8)* (g44[t] - I*g44n[t])) + 30940*(-3 + 37*lu1 + 6846*lu1^2)* (f22[t] + I*f22n[t])*((f44[t] - I*f44n[t])* (2*Sqrt[3]*(-420419943 - 1476334854*lu1 + 249090024417*lu1^2 + 7547937845189*lu1^3 - 61631113025284*lu1^4 - 1956678587167532* lu1^5 + 9074963099939005*lu1^6 + 138956925775279053*lu1^7 + 59385655199844445*lu1^8 - 480219574074462672*lu1^9 + 47206242738090896*lu1^10 + 1099999240068444000*lu1^11 + 671347460785217200*lu1^12 + 126837094532008000*lu1^13)*( f42[t] - I*f42n[t]) + (-1 + 7*lu1 + 170*lu1^2)*( (23576238 - 502127613*lu1 - 18726647283*lu1^2 + 248378381393* lu1^3 + 2680682274662*lu1^4 - 4656550402091*lu1^5 - 198891270028787*lu1^6 - 1964861248072709*lu1^7 - 1991594183384158*lu1^8 + 4388755066443332*lu1^9 + 7212210856672520*lu1^10 + 2508073115396800*lu1^11)* (g22[t] - I*g22n[t]) - Sqrt[3]*(4084290 - 75598506*lu1 - 2696756115*lu1^2 + 21567289829*lu1^3 + 51034743858*lu1^4 + 3642489021948*lu1^5 + 291310668257*lu1^6 - 279799650929603* lu1^7 - 403888577560746*lu1^8 + 925773866928444*lu1^9 + 1745733546641080*lu1^10 + 587956124918400*lu1^11)* (g42[t] - I*g42n[t]))) - Sqrt[3]*(-4084290 + 104188536*lu1 + 2861895873*lu1^2 - 53296328654*lu1^3 - 358512254605*lu1^4 + 381193455988*lu1^5 + 33882018941239*lu1^6 + 901061959338562*lu1^ 7 - 1505186165342785*lu1^8 - 51318934567886176*lu1^9 - 63926374663468792*lu1^10 + 169013736079404640*lu1^11 + 300890395803412400*lu1^12 + 99952541236128000*lu1^13)* (f42[t] - I*f42n[t])*(g44[t] - I*g44n[t]))) - 3*(3*(-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)*f40[t]* (24*Sqrt[70]*(-3516632091 + 82342725795*lu1 + 3710562839457*lu1^ 2 - 88931554749146*lu1^3 + 13239935711751010*lu1^4 + 45790943821228753*lu1^5 - 4686987549472710875*lu1^6 - 35410062080434025196*lu1^7 - 77773821426920155937*lu1^8 - 117961658923028963190*lu1^9 - 759253567954210980700*lu1^10 + 161651975002495635000*lu1^11)*(f42[t] + I*f42n[t])^2 + 294*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)* (f44[t] + I*f44n[t])*(442*Sqrt[5]*(90597 - 1462408*lu1 - 224967812*lu1^2 + 685757422*lu1^3 + 47366562971*lu1^4 + 969855223090*lu1^5 + 19655866570900*lu1^6 + 2202471159000* lu1^7)*g20[t] - 15*(4839567 - 80877536*lu1 - 9889138500* lu1^2 + 12204268370*lu1^3 - 1077868933127*lu1^4 + 44087057375766*lu1^5 + 916068101430860*lu1^6 + 572900375649000*lu1^7)*g40[t]) - Sqrt[70]*(3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*(f42[t] + I*f42n[t])* (2431*Sqrt[3]*(-662829 + 15261368*lu1 + 1551593756*lu1^2 - 17955519366*lu1^3 - 283025164075*lu1^4 + 479907750326*lu1^5 - 6121393709940*lu1^6 + 1104034566600*lu1^7)*(g22[t] + I*g22n[t]) + 45*(-4964919 - 73414960*lu1 + 17096100848* lu1^2 + 188283788442*lu1^3 + 5305832770787*lu1^4 - 26545507535698*lu1^5 + 19204365286020*lu1^6 + 32574195750600* lu1^7)*(g42[t] + I*g42n[t]))) + 7*((-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)* (2*(f42[t] - I*f42n[t])*(-5*(-1 + 7*lu1 + 170*lu1^2)* (f44[t] + I*f44n[t])*(221*Sqrt[3]*(9645453 - 258946035*lu1 - 27176350570*lu1^2 + 440526233010*lu1^3 + 15469474837073* lu1^4 - 82772548834911*lu1^5 - 429572359607604*lu1^6 - 4517647111456336*lu1^7 - 46584834688031360*lu1^8 + 7987982033598000*lu1^9)*(g22[t] + I*g22n[t]) - 18*(139234923 - 3064608033*lu1 - 357270218806*lu1^2 + 3501500852046*lu1^3 + 125767676315159*lu1^4 + 710512684588731*lu1^5 + 19387160590859508*lu1^6 - 142307385647614648*lu1^7 - 441598979237504480*lu1^8 + 3758304481638000*lu1^9)*(g42[t] + I*g42n[t])) + (f42[t] + I*f42n[t])*((601886273373 + 10973338001100*lu1 - 1325644196581941*lu1^2 - 69990133670130642*lu1^3 - 214175214756520685*lu1^4 + 52698924950758729776*lu1^5 + 212045696846183342325*lu1^6 - 2325320651656570316362* lu1^7 + 16794480477324366794496*lu1^8 - 86525401331019852024480*lu1^9 - 219805139939759925664400* lu1^10 + 70133749194366976020000*lu1^11)*(f44[t] + I*f44n[t]) + 3*(640585557 - 23603421750*lu1 - 2212474398979*lu1^2 + 60845277877282*lu1^3 + 2070719660059495*lu1^4 - 31389634357892666*lu1^5 - 307165636871422465*lu1^6 + 1625214397762230782*lu1^7 + 6858671004202801304*lu1^8 + 99662172902208255280*lu1^9 + 570488253801168732400*lu1^10 - 271449867790475220000* lu1^11)*(g44[t] + I*g44n[t]))) + 3*(3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)*(-3*Sqrt[14]* (f42[t] + I*f42n[t])^2*(1105*(-87915 + 1800640*lu1 + 303517344*lu1^2 - 2566630654*lu1^3 - 248993123561*lu1^4 - 1165207211274*lu1^5 - 26121803708140*lu1^6 + 12901584801000*lu1^7)*g20[t] + 3*Sqrt[5]*(-2605611 - 120543968*lu1 + 8573774904*lu1^2 + 256167614906*lu1^3 + 14108313329215*lu1^4 - 63170756689506*lu1^5 - 149666670245260*lu1^6 + 1422491693133000*lu1^7)*g40[t]) + 14014*(-1 + 7*lu1 + 170*lu1^2)*(f42[t] + I*f42n[t])* (f44[t] + I*f44n[t])*(340*Sqrt[3]*(-597 + 4219*lu1 + 1133842*lu1^2 + 10307885*lu1^3 + 611964941*lu1^4 + 372593550*lu1^5)*(g22[t] - I*g22n[t]) - 3*(-64851 + 1314275*lu1 + 70855079*lu1^2 + 103652689*lu1^3 + 56386428028*lu1^4 + 143578031100*lu1^5)*(g42[t] - I*g42n[t])) - 13243230*(165 - 8144*lu1 + 63364*lu1^2 + 4953846*lu1^3 - 136160861*lu1^4 - 791633870*lu1^5 + 22714760100*lu1^6 + 136742067000*lu1^7)*(f44[t] + I*f44n[t])^2*(g44[t] - I*g44n[t])) + 14*(f44[t] - I*f44n[t])*(f44[t] + I*f44n[t])*((25698631779 + 2979209299500* lu1 - 125768093692443*lu1^2 - 11523131462861166*lu1^3 + 196373867236228645*lu1^4 + 8313405458472311448*lu1^5 - 50056115584363137525*lu1^6 - 939218300186950477126*lu1^7 + 1065945986584849726008*lu1^8 - 14382971485969046801040* lu1^9 - 44416509727752177621200*lu1^10 + 12790283742095207460000*lu1^11)*(f44[t] + I*f44n[t]) + 3*(-344369583 + 11868109410*lu1 + 965024268221*lu1^2 - 24928686846698*lu1^3 - 615232437208685*lu1^4 + 10336181390195494*lu1^5 + 96075047426358215*lu1^6 - 653927370331399918*lu1^7 - 3389732115369993496*lu1^8 - 34226762748789440720*lu1^9 - 294482862436077467600*lu1^10 + 51163119306452580000*lu1^11)*(g44[t] + I*g44n[t]))) + 4420*(-3 + 37*lu1 + 6846*lu1^2)*(f22[t] - I*f22n[t])* ((-1 + 7*lu1 + 170*lu1^2)*(f44[t] + I*f44n[t])*( (23576238 - 502127613*lu1 - 18726647283*lu1^2 + 248378381393* lu1^3 + 2680682274662*lu1^4 - 4656550402091*lu1^5 - 198891270028787*lu1^6 - 1964861248072709*lu1^7 - 1991594183384158*lu1^8 + 4388755066443332*lu1^9 + 7212210856672520*lu1^10 + 2508073115396800*lu1^11)* (g22[t] + I*g22n[t]) - Sqrt[3]*(4084290 - 75598506*lu1 - 2696756115*lu1^2 + 21567289829*lu1^3 + 51034743858*lu1^4 + 3642489021948*lu1^5 + 291310668257*lu1^6 - 279799650929603* lu1^7 - 403888577560746*lu1^8 + 925773866928444*lu1^9 + 1745733546641080*lu1^10 + 587956124918400*lu1^11)* (g42[t] + I*g42n[t])) + Sqrt[3]*(f42[t] + I*f42n[t])*( 2*(-420419943 - 1476334854*lu1 + 249090024417*lu1^2 + 7547937845189*lu1^3 - 61631113025284*lu1^4 - 1956678587167532*lu1^5 + 9074963099939005*lu1^6 + 138956925775279053*lu1^7 + 59385655199844445*lu1^8 - 480219574074462672*lu1^9 + 47206242738090896*lu1^10 + 1099999240068444000*lu1^11 + 671347460785217200*lu1^12 + 126837094532008000*lu1^13)*(f44[t] + I*f44n[t]) - (-4084290 + 104188536*lu1 + 2861895873*lu1^2 - 53296328654* lu1^3 - 358512254605*lu1^4 + 381193455988*lu1^5 + 33882018941239*lu1^6 + 901061959338562*lu1^7 - 1505186165342785*lu1^8 - 51318934567886176*lu1^9 - 63926374663468792*lu1^10 + 169013736079404640*lu1^11 + 300890395803412400*lu1^12 + 99952541236128000*lu1^13)* (g44[t] + I*g44n[t])))) + 35*(-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)*f40[t]^2* ((171016756785 + 1008932348772*lu1 - 318560944204569*lu1^2 - 12717412345638426*lu1^3 - 233490117200518681*lu1^4 + 9880395399126051912*lu1^5 + 109901760081643705065*lu1^6 + 44840763626935899550*lu1^7 + 4478839124012523604392*lu1^8 - 15606432377712353334960*lu1^9 - 33027776609411347010800*lu1^ 10 + 11698961398837458060000*lu1^11)*(f44[t] + I*f44n[t]) - 12*(-17894817 + 851476296*lu1 + 41256467642*lu1^2 - 2186470938935*lu1^3 - 10081220258813*lu1^4 + 1524031212315082* lu1^5 + 13817367899552780*lu1^6 - 384456724497304147*lu1^7 - 2597839275382786648*lu1^8 + 8673401122030525240*lu1^9 - 38184712477761432800*lu1^10 + 4033424537153970000*lu1^11)* (g44[t] + I*g44n[t]))) + 663*(-3 + 37*lu1 + 6846*lu1^2)* (f22[t] - I*f22n[t])*(7830590220*Sqrt[210]*f40[t]* (f42[t] - I*f42n[t]) - 27850280859*Sqrt[210]*lu1*f40[t]* (f42[t] - I*f42n[t]) - 1981848438930*Sqrt[210]*lu1^2*f40[t]* (f42[t] - I*f42n[t]) - 144619017493957*Sqrt[210]*lu1^3*f40[t]* (f42[t] - I*f42n[t]) - 555534312054304*Sqrt[210]*lu1^4*f40[t]* (f42[t] - I*f42n[t]) + 33601440874965835*Sqrt[210]*lu1^5*f40[t]* (f42[t] - I*f42n[t]) + 96177793909119862*Sqrt[210]*lu1^6*f40[t]* (f42[t] - I*f42n[t]) - 964717578077391675*Sqrt[210]*lu1^7*f40[t]* (f42[t] - I*f42n[t]) - 4877636416448562944*Sqrt[210]*lu1^8*f40[t]* (f42[t] - I*f42n[t]) - 4844098690376039808*Sqrt[210]*lu1^9*f40[t]* (f42[t] - I*f42n[t]) + 10825489672024306640*Sqrt[210]*lu1^10* f40[t]*(f42[t] - I*f42n[t]) + 26642651754288054000*Sqrt[210]* lu1^11*f40[t]*(f42[t] - I*f42n[t]) + 19965054363618952000* Sqrt[210]*lu1^12*f40[t]*(f42[t] - I*f42n[t]) + 5710832716516480000*Sqrt[210]*lu1^13*f40[t]*(f42[t] - I*f42n[t]) + 94500438480*Sqrt[3]*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 9967816530*Sqrt[3]*lu1*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 45192792830220*Sqrt[3]*lu1^2*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 1757866302409770*Sqrt[3]*lu1^3* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 1076538377881680* Sqrt[3]*lu1^4*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 397406275300447070*Sqrt[3]*lu1^5*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 747868369202322620*Sqrt[3]*lu1^6* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 18130754300978584230* Sqrt[3]*lu1^7*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) - 42485865858631551160*Sqrt[3]*lu1^8*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) - 1669044549808361600*Sqrt[3]*lu1^9* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 113093361947888455840* Sqrt[3]*lu1^10*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 149659464813572028000*Sqrt[3]*lu1^11*(f42[t] + I*f42n[t])* (f44[t] - I*f44n[t]) + 76922449982746368000*Sqrt[3]*lu1^12* (f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 23375212128896320000* Sqrt[3]*lu1^13*(f42[t] + I*f42n[t])*(f44[t] - I*f44n[t]) + 291500370*Sqrt[42]*(f42[t] - I*f42n[t])*g20[t] - 9694806975*Sqrt[42]*lu1*(f42[t] - I*f42n[t])*g20[t] - 59341732380*Sqrt[42]*lu1^2*(f42[t] - I*f42n[t])*g20[t] + 3539887969905*Sqrt[42]*lu1^3*(f42[t] - I*f42n[t])*g20[t] - 27337467334800*Sqrt[42]*lu1^4*(f42[t] - I*f42n[t])*g20[t] - 49938723673405*Sqrt[42]*lu1^5*(f42[t] - I*f42n[t])*g20[t] + 5126953855849700*Sqrt[42]*lu1^6*(f42[t] - I*f42n[t])*g20[t] - 23678827552595285*Sqrt[42]*lu1^7*(f42[t] - I*f42n[t])*g20[t] - 238250917374974490*Sqrt[42]*lu1^8*(f42[t] - I*f42n[t])*g20[t] + 361858906162972400*Sqrt[42]*lu1^9*(f42[t] - I*f42n[t])*g20[t] + 4432529324084792560*Sqrt[42]*lu1^10*(f42[t] - I*f42n[t])*g20[t] + 9484311618231646000*Sqrt[42]*lu1^11*(f42[t] - I*f42n[t])*g20[t] + 8041218731944524000*Sqrt[42]*lu1^12*(f42[t] - I*f42n[t])*g20[t] + 2358432036685200000*Sqrt[42]*lu1^13*(f42[t] - I*f42n[t])*g20[t] + 163379160*Sqrt[70]*f40[t]*(g22[t] - I*g22n[t]) - 4652449020*Sqrt[70]*lu1*f40[t]*(g22[t] - I*g22n[t]) - 100968310200*Sqrt[70]*lu1^2*f40[t]*(g22[t] - I*g22n[t]) + 2589781917990*Sqrt[70]*lu1^3*f40[t]*(g22[t] - I*g22n[t]) + 4940602574590*Sqrt[70]*lu1^4*f40[t]*(g22[t] - I*g22n[t]) - 173834227334720*Sqrt[70]*lu1^5*f40[t]*(g22[t] - I*g22n[t]) + 70450074363060*Sqrt[70]*lu1^6*f40[t]*(g22[t] - I*g22n[t]) - 8065806771000650*Sqrt[70]*lu1^7*f40[t]*(g22[t] - I*g22n[t]) + 38413411780925630*Sqrt[70]*lu1^8*f40[t]*(g22[t] - I*g22n[t]) + 700889155887941280*Sqrt[70]*lu1^9*f40[t]*(g22[t] - I*g22n[t]) + 2085052311501294320*Sqrt[70]*lu1^10*f40[t]*(g22[t] - I*g22n[t]) + 3289477792653560800*Sqrt[70]*lu1^11*f40[t]*(g22[t] - I*g22n[t]) + 2608366300360572000*Sqrt[70]*lu1^12*f40[t]*(g22[t] - I*g22n[t]) + 561057245944160000*Sqrt[70]*lu1^13*f40[t]*(g22[t] - I*g22n[t]) + 3667356000*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 153203796900*lu1*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 1449165910500*lu1^2*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 30850308027000*lu1^3*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 663871644697800*lu1^4*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 1373301964442100*lu1^5*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 83733285191810100*lu1^6*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 22940889567103200*lu1^7*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 3893933908047044400*lu1^8*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) - 3676877740420684800*lu1^9* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 52656659342259403200* lu1^10*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 156902179840840896000*lu1^11*(f44[t] - I*f44n[t])* (g22[t] + I*g22n[t]) + 156736540051697760000*lu1^12* (f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) + 50575135602499200000* lu1^13*(f44[t] - I*f44n[t])*(g22[t] + I*g22n[t]) - 82243350*Sqrt[210]*(f42[t] - I*f42n[t])*g40[t] + 3404063313*Sqrt[210]*lu1*(f42[t] - I*f42n[t])*g40[t] - 24152389380*Sqrt[210]*lu1^2*(f42[t] - I*f42n[t])*g40[t] - 905128661871*Sqrt[210]*lu1^3*(f42[t] - I*f42n[t])*g40[t] + 17736060663048*Sqrt[210]*lu1^4*(f42[t] - I*f42n[t])*g40[t] + 39745145085555*Sqrt[210]*lu1^5*(f42[t] - I*f42n[t])*g40[t] - 2564591290534644*Sqrt[210]*lu1^6*(f42[t] - I*f42n[t])*g40[t] - 293633070704085*Sqrt[210]*lu1^7*(f42[t] - I*f42n[t])*g40[t] + 113782396052226678*Sqrt[210]*lu1^8*(f42[t] - I*f42n[t])*g40[t] + 114677319035980176*Sqrt[210]*lu1^9*(f42[t] - I*f42n[t])*g40[t] - 1445215464649194000*Sqrt[210]*lu1^10*(f42[t] - I*f42n[t])*g40[t] - 4380686855004238800*Sqrt[210]*lu1^11*(f42[t] - I*f42n[t])*g40[t] - 4459913286774036000*Sqrt[210]*lu1^12*(f42[t] - I*f42n[t])*g40[t] - 1462309593499440000*Sqrt[210]*lu1^13*(f42[t] - I*f42n[t])*g40[t] - 5*Sqrt[14]*f20[t]*(Sqrt[3]*(814327803 - 7579066671*lu1 - 459949848498*lu1^2 - 8549588016286*lu1^3 + 23417084034911*lu1^ 4 + 4347538877271149*lu1^5 - 5539028830834880*lu1^6 - 352097246110849280*lu1^7 - 794454765095066504*lu1^8 + 1087558752577032656*lu1^9 + 3439259331657928208*lu1^10 + 2878254450776006240*lu1^11 + 1911044345424974400*lu1^12 + 684619826316048000*lu1^13)*(f42[t] - I*f42n[t]) + 11*(-1 + 7*lu1 + 170*lu1^2)^2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)*(13*(-9627 + 108739*lu1 + 963287*lu1^2 - 4163999*lu1^3 + 22074868*lu1^4 + 3764140*lu1^5)*(g22[t] - I*g22n[t]) - 15*Sqrt[3]*(-1119 + 15935*lu1 - 12157*lu1^2 - 259931*lu1^3 + 1882060*lu1^4 + 1451820*lu1^5)*(g42[t] - I*g42n[t]))) - 90204408*Sqrt[210]* f40[t]*(g42[t] - I*g42n[t]) + 2961682578*Sqrt[210]*lu1*f40[t]* (g42[t] - I*g42n[t]) + 27188999538*Sqrt[210]*lu1^2*f40[t]* (g42[t] - I*g42n[t]) - 1301157772198*Sqrt[210]*lu1^3*f40[t]* (g42[t] - I*g42n[t]) + 8823495346762*Sqrt[210]*lu1^4*f40[t]* (g42[t] - I*g42n[t]) + 54439302850118*Sqrt[210]*lu1^5*f40[t]* (g42[t] - I*g42n[t]) - 1784606761771162*Sqrt[210]*lu1^6*f40[t]* (g42[t] - I*g42n[t]) + 2736720208411742*Sqrt[210]*lu1^7*f40[t]* (g42[t] - I*g42n[t]) + 70755024158706982*Sqrt[210]*lu1^8*f40[t]* (g42[t] - I*g42n[t]) + 82356816166751248*Sqrt[210]*lu1^9*f40[t]* (g42[t] - I*g42n[t]) - 1337210294571109040*Sqrt[210]*lu1^10*f40[t]* (g42[t] - I*g42n[t]) - 4708523176346989600*Sqrt[210]*lu1^11*f40[t]* (g42[t] - I*g42n[t]) - 5062598267853908000*Sqrt[210]*lu1^12*f40[t]* (g42[t] - I*g42n[t]) - 1521452004925440000*Sqrt[210]*lu1^13*f40[t]* (g42[t] - I*g42n[t]) - 733471200*Sqrt[3]*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 30640759380*Sqrt[3]*lu1* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 289833182100*Sqrt[3]* lu1^2*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 6170061605400*Sqrt[3]*lu1^3*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) + 132774328939560*Sqrt[3]*lu1^4* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 274660392888420* Sqrt[3]*lu1^5*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 16746657038362020*Sqrt[3]*lu1^6*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 4588177913420640*Sqrt[3]*lu1^7* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 778786781609408880* Sqrt[3]*lu1^8*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 735375548084136960*Sqrt[3]*lu1^9*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 10531331868451880640*Sqrt[3]*lu1^10* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 31380435968168179200* Sqrt[3]*lu1^11*(f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) - 31347308010339552000*Sqrt[3]*lu1^12*(f44[t] - I*f44n[t])* (g42[t] + I*g42n[t]) - 10115027120499840000*Sqrt[3]*lu1^13* (f44[t] - I*f44n[t])*(g42[t] + I*g42n[t]) + 70*(f22[t] + I*f22n[t])*((-411661791 - 180373248*lu1 + 140059090059*lu1^2 + 13631543235228*lu1^3 - 113543909166835*lu1^ 4 - 4166369119884524*lu1^5 + 19299655778555505*lu1^6 + 363434627964562636*lu1^7 + 202563295094281550*lu1^8 - 1719625607404526028*lu1^9 + 632766445766680712*lu1^10 + 5571669819521741200*lu1^11 + 3002164847132481600*lu1^12 + 28269775419984000*lu1^13)*(f44[t] - I*f44n[t]) + 33*(-1 + 7*lu1 + 170*lu1^2)^2*(59211 - 1111698*lu1 - 47982888*lu1^2 + 501880110*lu1^3 + 5637429925*lu1^4 - 9476582108*lu1^5 + 72523922504*lu1^6 + 211334799584*lu1^7 + 125081876880*lu1^8 + 13517380800*lu1^9)*(g44[t] - I*g44n[t])) - 466145820*Sqrt[3]*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 14260553370*Sqrt[3]*lu1*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 275052561000*Sqrt[3]*lu1^2*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) - 8620072931050*Sqrt[3]*lu1^3* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 6922993600460*Sqrt[3]* lu1^4*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) + 971143929333830*Sqrt[3]*lu1^5*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) - 858618260081680*Sqrt[3]*lu1^6* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 42342305032428310* Sqrt[3]*lu1^7*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 208928120135119280*Sqrt[3]*lu1^8*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) + 113474024254575040*Sqrt[3]*lu1^9* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 4827171271971802880* Sqrt[3]*lu1^10*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 26794519206928866400*Sqrt[3]*lu1^11*(f42[t] + I*f42n[t])* (g44[t] - I*g44n[t]) - 33718265416967264000*Sqrt[3]*lu1^12* (f42[t] + I*f42n[t])*(g44[t] - I*g44n[t]) - 9744523237757280000* Sqrt[3]*lu1^13*(f42[t] + I*f42n[t])*(g44[t] - I*g44n[t])) - 69615*(-9 + 105*lu1 + 20612*lu1^2 + 13692*lu1^3)*f20[t]^2* ((98230185 - 1296128070*lu1 - 26144803617*lu1^2 - 750985990776*lu1^3 - 26860499378549*lu1^4 + 393592472194410* lu1^5 + 306855502405545*lu1^6 - 577325066792164*lu1^7 + 75521556788750628*lu1^8 + 90212202973821432*lu1^9 - 111058127432881280*lu1^10 - 78171515252618400*lu1^11 + 66096761577840000*lu1^12)*(f44[t] + I*f44n[t]) - 44*(-1 + 7*lu1 + 170*lu1^2)^2*(-1107 + 1809*lu1 + 1789470*lu1^2 - 2065850*lu1^3 - 644514935*lu1^4 + 489904901*lu1^5 - 3293567812*lu1^6 - 2388739740*lu1^7 + 5849751600*lu1^8)* (g44[t] + I*g44n[t]))))/(51102051*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)^3*(81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)* Pi) + (mar*(12357695069460*Sqrt[70]*f22n[t]^2*f40[t] - 999988552653480*Sqrt[70]*lu1*f22n[t]^2*f40[t] - 9169644726056880*Sqrt[70]*lu1^2*f22n[t]^2*f40[t] + 2285807921757144720*Sqrt[70]*lu1^3*f22n[t]^2*f40[t] - 33972162489104375640*Sqrt[70]*lu1^4*f22n[t]^2*f40[t] - 943577173913413752960*Sqrt[70]*lu1^5*f22n[t]^2*f40[t] + 20462999950652594219040*Sqrt[70]*lu1^6*f22n[t]^2*f40[t] + 12830336421254408525040*Sqrt[70]*lu1^7*f22n[t]^2*f40[t] - 873738230006897086725660*Sqrt[70]*lu1^8*f22n[t]^2*f40[t] + 332977345551456346426920*Sqrt[70]*lu1^9*f22n[t]^2*f40[t] + 4371522349773102427041840*Sqrt[70]*lu1^10*f22n[t]^2*f40[t] - 17020940202956049857952000*Sqrt[70]*lu1^11*f22n[t]^2*f40[t] - 110360359216431452247662400*Sqrt[70]*lu1^12*f22n[t]^2*f40[t] - 248388231763111712702102400*Sqrt[70]*lu1^13*f22n[t]^2*f40[t] - 231556160746308298773600000*Sqrt[70]*lu1^14*f22n[t]^2*f40[t] - 65287836397786387432320000*Sqrt[70]*lu1^15*f22n[t]^2*f40[t] + 59627182141368*Sqrt[70]*f40[t]*f42[t]^2 - 3981180638185200*Sqrt[70]* lu1*f40[t]*f42[t]^2 + 2756764607635584*Sqrt[70]*lu1^2*f40[t]* f42[t]^2 + 8176565996270668368*Sqrt[70]*lu1^3*f40[t]*f42[t]^2 - 371228674856586223248*Sqrt[70]*lu1^4*f40[t]*f42[t]^2 + 164580947527079437776*Sqrt[70]*lu1^5*f40[t]*f42[t]^2 + 120250963719889795721376*Sqrt[70]*lu1^6*f40[t]*f42[t]^2 - 213651892067206965760080*Sqrt[70]*lu1^7*f40[t]*f42[t]^2 - 7583625436925603984883624*Sqrt[70]*lu1^8*f40[t]*f42[t]^2 + 2726750375736057428674464*Sqrt[70]*lu1^9*f40[t]*f42[t]^2 + 154451267287052567630749920*Sqrt[70]*lu1^10*f40[t]*f42[t]^2 + 193205059583563750512834432*Sqrt[70]*lu1^11*f40[t]*f42[t]^2 - 531875562350166130828473216*Sqrt[70]*lu1^12*f40[t]*f42[t]^2 - 1161012121874218955292664320*Sqrt[70]*lu1^13*f40[t]*f42[t]^2 - 652779397857191968765785600*Sqrt[70]*lu1^14*f40[t]*f42[t]^2 - 95270118015723430268160000*Sqrt[70]*lu1^15*f40[t]*f42[t]^2 - 56698379342280*Sqrt[210]*f22n[t]*f40[t]*f42n[t] + 4179829999281300*Sqrt[210]*lu1*f22n[t]*f40[t]*f42n[t] + 41796501539371020*Sqrt[210]*lu1^2*f22n[t]*f40[t]*f42n[t] - 8039459693191607460*Sqrt[210]*lu1^3*f22n[t]*f40[t]*f42n[t] + 123977984087385324780*Sqrt[210]*lu1^4*f22n[t]*f40[t]*f42n[t] + 1297506105234896362260*Sqrt[210]*lu1^5*f22n[t]*f40[t]*f42n[t] - 31866886628919527687580*Sqrt[210]*lu1^6*f22n[t]*f40[t]*f42n[t] + 15896720731081841276340*Sqrt[210]*lu1^7*f22n[t]*f40[t]*f42n[t] - 399199831267072997396820*Sqrt[210]*lu1^8*f22n[t]*f40[t]*f42n[t] - 4225277038033946883251640*Sqrt[210]*lu1^9*f22n[t]*f40[t]*f42n[t] + 48386248486997087934359040*Sqrt[210]*lu1^10*f22n[t]*f40[t]*f42n[t] + 265067835227857814091987840*Sqrt[210]*lu1^11*f22n[t]*f40[t]*f42n[t] + 350471072990459938476024000*Sqrt[210]*lu1^12*f22n[t]*f40[t]*f42n[t] - 17454582816472262453116800*Sqrt[210]*lu1^13*f22n[t]*f40[t]*f42n[t] - 179290223003921581441344000*Sqrt[210]*lu1^14*f22n[t]*f40[t]*f42n[t] - 6294540755014944606720000*Sqrt[210]*lu1^15*f22n[t]*f40[t]*f42n[t] - 59627182141368*Sqrt[70]*f40[t]*f42n[t]^2 + 3981180638185200*Sqrt[70]* lu1*f40[t]*f42n[t]^2 - 2756764607635584*Sqrt[70]*lu1^2*f40[t]* f42n[t]^2 - 8176565996270668368*Sqrt[70]*lu1^3*f40[t]*f42n[t]^2 + 371228674856586223248*Sqrt[70]*lu1^4*f40[t]*f42n[t]^2 - 164580947527079437776*Sqrt[70]*lu1^5*f40[t]*f42n[t]^2 - 120250963719889795721376*Sqrt[70]*lu1^6*f40[t]*f42n[t]^2 + 213651892067206965760080*Sqrt[70]*lu1^7*f40[t]*f42n[t]^2 + 7583625436925603984883624*Sqrt[70]*lu1^8*f40[t]*f42n[t]^2 - 2726750375736057428674464*Sqrt[70]*lu1^9*f40[t]*f42n[t]^2 - 154451267287052567630749920*Sqrt[70]*lu1^10*f40[t]*f42n[t]^2 - 193205059583563750512834432*Sqrt[70]*lu1^11*f40[t]*f42n[t]^2 + 531875562350166130828473216*Sqrt[70]*lu1^12*f40[t]*f42n[t]^2 + 1161012121874218955292664320*Sqrt[70]*lu1^13*f40[t]*f42n[t]^2 + 652779397857191968765785600*Sqrt[70]*lu1^14*f40[t]*f42n[t]^2 + 95270118015723430268160000*Sqrt[70]*lu1^15*f40[t]*f42n[t]^2 - 292816362564180*f22n[t]^2*f44[t] + 25448581535619060*lu1*f22n[t]^2* f44[t] + 54778424641324020*lu1^2*f22n[t]^2*f44[t] - 50843365046244667260*lu1^3*f22n[t]^2*f44[t] + 952748722905607309500* lu1^4*f22n[t]^2*f44[t] + 11350059165097210800060*lu1^5*f22n[t]^2* f44[t] - 242924335847817097566820*lu1^6*f22n[t]^2*f44[t] - 1495707788550879670346580*lu1^7*f22n[t]^2*f44[t] + 2115741888095500489795880*lu1^8*f22n[t]^2*f44[t] + 192314617414811125752408800*lu1^9*f22n[t]^2*f44[t] + 1946804752261236704800876640*lu1^10*f22n[t]^2*f44[t] + 1753522626107994788989517120*lu1^11*f22n[t]^2*f44[t] - 12201207810280534605740019840*lu1^12*f22n[t]^2*f44[t] - 20910514506990798435770752000*lu1^13*f22n[t]^2*f44[t] - 6275159261238948807085632000*lu1^14*f22n[t]^2*f44[t] + 1493656720031586152689920000*lu1^15*f22n[t]^2*f44[t] - 1577113064076060*f40[t]^2*f44[t] + 67471691498186220*lu1*f40[t]^2* f44[t] + 1271524816289882700*lu1^2*f40[t]^2*f44[t] - 53807067715455007380*lu1^3*f40[t]^2*f44[t] + 3537048744724872932100* lu1^4*f40[t]^2*f44[t] - 70611158591692245382380*lu1^5*f40[t]^2* f44[t] - 522853376038659436648220*lu1^6*f40[t]^2*f44[t] + 8029220385335018061837540*lu1^7*f40[t]^2*f44[t] - 43177661150414923134127160*lu1^8*f40[t]^2*f44[t] + 266035337958168841952537200*lu1^9*f40[t]^2*f44[t] + 730683088863374897939358880*lu1^10*f40[t]^2*f44[t] - 5257352947555740841745539520*lu1^11*f40[t]^2*f44[t] - 18495124123043228481987707520*lu1^12*f40[t]^2*f44[t] - 19721899151911611806263750400*lu1^13*f40[t]^2*f44[t] - 6926963161657043115559872000*lu1^14*f40[t]^2*f44[t] - 224220944074378401964800000*lu1^15*f40[t]^2*f44[t] - 2319445578172968*f42[t]^2*f44[t] + 79206854061779640*lu1*f42[t]^2* f44[t] + 2581644337086663576*lu1^2*f42[t]^2*f44[t] + 6857788516879342392*lu1^3*f42[t]^2*f44[t] + 1876896041457538738728* lu1^4*f42[t]^2*f44[t] - 138918183918005378635896*lu1^5*f42[t]^2* f44[t] + 637806740001138266802824*lu1^6*f42[t]^2*f44[t] + 13067314281729138603033960*lu1^7*f42[t]^2*f44[t] - 192526078417788302056625056*lu1^8*f42[t]^2*f44[t] + 570245181176642487906516896*lu1^9*f42[t]^2*f44[t] + 3623683919745485742709216640*lu1^10*f42[t]^2*f44[t] - 7809835060941589176311396992*lu1^11*f42[t]^2*f44[t] - 44436506118988782795574040064*lu1^12*f42[t]^2*f44[t] - 55697968010062288986624801280*lu1^13*f42[t]^2*f44[t] - 22992837893314773793840742400*lu1^14*f42[t]^2*f44[t] - 1782223540368884827683840000*lu1^15*f42[t]^2*f44[t] + 1109853101054880*Sqrt[3]*f22n[t]*f42n[t]*f44[t] - 68840699056529400*Sqrt[3]*lu1*f22n[t]*f42n[t]*f44[t] - 1171841346581167080*Sqrt[3]*lu1^2*f22n[t]*f42n[t]*f44[t] + 125728745061890388600*Sqrt[3]*lu1^3*f22n[t]*f42n[t]*f44[t] - 1911644019877085424840*Sqrt[3]*lu1^4*f22n[t]*f42n[t]*f44[t] - 15481211172325252263000*Sqrt[3]*lu1^5*f22n[t]*f42n[t]*f44[t] + 570354212898953457691080*Sqrt[3]*lu1^6*f22n[t]*f42n[t]*f44[t] - 214730636373613082999640*Sqrt[3]*lu1^7*f22n[t]*f42n[t]*f44[t] + 28507570938021607253257800*Sqrt[3]*lu1^8*f22n[t]*f42n[t]*f44[t] - 308683745037928011442825680*Sqrt[3]*lu1^9*f22n[t]*f42n[t]*f44[t] - 4402908366435890492897089920*Sqrt[3]*lu1^10*f22n[t]*f42n[t]*f44[t] - 7842118502557623029269655040*Sqrt[3]*lu1^11*f22n[t]*f42n[t]*f44[t] + 4237111597929460931346906240*Sqrt[3]*lu1^12*f22n[t]*f42n[t]*f44[t] + 16061935081068249941139936000*Sqrt[3]*lu1^13*f22n[t]*f42n[t]*f44[t] + 9168823361676457378343808000*Sqrt[3]*lu1^14*f22n[t]*f42n[t]*f44[t] + 1889212168469175879813120000*Sqrt[3]*lu1^15*f22n[t]*f42n[t]*f44[t] - 2319445578172968*f42n[t]^2*f44[t] + 79206854061779640*lu1*f42n[t]^2* f44[t] + 2581644337086663576*lu1^2*f42n[t]^2*f44[t] + 6857788516879342392*lu1^3*f42n[t]^2*f44[t] + 1876896041457538738728* lu1^4*f42n[t]^2*f44[t] - 138918183918005378635896*lu1^5*f42n[t]^2* f44[t] + 637806740001138266802824*lu1^6*f42n[t]^2*f44[t] + 13067314281729138603033960*lu1^7*f42n[t]^2*f44[t] - 192526078417788302056625056*lu1^8*f42n[t]^2*f44[t] + 570245181176642487906516896*lu1^9*f42n[t]^2*f44[t] + 3623683919745485742709216640*lu1^10*f42n[t]^2*f44[t] - 7809835060941589176311396992*lu1^11*f42n[t]^2*f44[t] - 44436506118988782795574040064*lu1^12*f42n[t]^2*f44[t] - 55697968010062288986624801280*lu1^13*f42n[t]^2*f44[t] - 22992837893314773793840742400*lu1^14*f42n[t]^2*f44[t] - 1782223540368884827683840000*lu1^15*f42n[t]^2*f44[t] - 928144661541048*f44[t]^3 - 13687360829208360*lu1*f44[t]^3 + 2645968844598160536*lu1^2*f44[t]^3 + 197644328429861604312*lu1^3* f44[t]^3 - 6785106371862806470392*lu1^4*f44[t]^3 - 135077961809040191754456*lu1^5*f44[t]^3 + 3443662560131900166968264* lu1^6*f44[t]^3 + 8082103466827642735298760*lu1^7*f44[t]^3 - 369477338612719061703909616*lu1^8*f44[t]^3 + 633869356610483827908921056*lu1^9*f44[t]^3 + 7227546823110045654093381440*lu1^10*f44[t]^3 - 3301717003991768331011926912*lu1^11*f44[t]^3 - 56846935907159325848238415104*lu1^12*f44[t]^3 - 82788250853794064610120302080*lu1^13*f44[t]^3 - 38224357176649253065042406400*lu1^14*f44[t]^3 - 4005192960735764867274240000*lu1^15*f44[t]^3 - 108968280417360*Sqrt[3]*f22n[t]*f42[t]*f44n[t] + 5427976925334600*Sqrt[3]*lu1*f22n[t]*f42[t]*f44n[t] + 274888206140216760*Sqrt[3]*lu1^2*f22n[t]*f42[t]*f44n[t] - 8669503131096061800*Sqrt[3]*lu1^3*f22n[t]*f42[t]*f44n[t] - 205666094063475219720*Sqrt[3]*lu1^4*f22n[t]*f42[t]*f44n[t] - 4369734125043913462200*Sqrt[3]*lu1^5*f22n[t]*f42[t]*f44n[t] + 35260523778228467158440*Sqrt[3]*lu1^6*f22n[t]*f42[t]*f44n[t] + 2052124574107261862524680*Sqrt[3]*lu1^7*f22n[t]*f42[t]*f44n[t] + 2422989078872968207438200*Sqrt[3]*lu1^8*f22n[t]*f42[t]*f44n[t] - 140494207948773180412987440*Sqrt[3]*lu1^9*f22n[t]*f42[t]*f44n[t] - 1763648099358271070726396160*Sqrt[3]*lu1^10*f22n[t]*f42[t]*f44n[t] - 739718179562161650122737920*Sqrt[3]*lu1^11*f22n[t]*f42[t]*f44n[t] + 9213025335397536700461697920*Sqrt[3]*lu1^12*f22n[t]*f42[t]*f44n[t] + 10592893726080952252660512000*Sqrt[3]*lu1^13*f22n[t]*f42[t]*f44n[t] + 1913080584678789761848704000*Sqrt[3]*lu1^14*f22n[t]*f42[t]*f44n[t] + 1208929528244854857692160000*Sqrt[3]*lu1^15*f22n[t]*f42[t]*f44n[t] - 928144661541048*f44[t]*f44n[t]^2 - 13687360829208360*lu1*f44[t]* f44n[t]^2 + 2645968844598160536*lu1^2*f44[t]*f44n[t]^2 + 197644328429861604312*lu1^3*f44[t]*f44n[t]^2 - 6785106371862806470392* lu1^4*f44[t]*f44n[t]^2 - 135077961809040191754456*lu1^5*f44[t]* f44n[t]^2 + 3443662560131900166968264*lu1^6*f44[t]*f44n[t]^2 + 8082103466827642735298760*lu1^7*f44[t]*f44n[t]^2 - 369477338612719061703909616*lu1^8*f44[t]*f44n[t]^2 + 633869356610483827908921056*lu1^9*f44[t]*f44n[t]^2 + 7227546823110045654093381440*lu1^10*f44[t]*f44n[t]^2 - 3301717003991768331011926912*lu1^11*f44[t]*f44n[t]^2 - 56846935907159325848238415104*lu1^12*f44[t]*f44n[t]^2 - 82788250853794064610120302080*lu1^13*f44[t]*f44n[t]^2 - 38224357176649253065042406400*lu1^14*f44[t]*f44n[t]^2 - 4005192960735764867274240000*lu1^15*f44[t]*f44n[t]^2 + 912558431070*Sqrt[14]*f22n[t]^2*g20[t] - 173076616884600*Sqrt[14]*lu1* f22n[t]^2*g20[t] + 2513175270219900*Sqrt[14]*lu1^2*f22n[t]^2* g20[t] + 474211049254345260*Sqrt[14]*lu1^3*f22n[t]^2*g20[t] - 9698919809648149080*Sqrt[14]*lu1^4*f22n[t]^2*g20[t] - 315510527696904068100*Sqrt[14]*lu1^5*f22n[t]^2*g20[t] + 5370439564236452131140*Sqrt[14]*lu1^6*f22n[t]^2*g20[t] + 63997256068105224879300*Sqrt[14]*lu1^7*f22n[t]^2*g20[t] - 675476817459361097238630*Sqrt[14]*lu1^8*f22n[t]^2*g20[t] - 5545394725596895496501460*Sqrt[14]*lu1^9*f22n[t]^2*g20[t] + 11814209332934645057541120*Sqrt[14]*lu1^10*f22n[t]^2*g20[t] + 65007658813102899068741280*Sqrt[14]*lu1^11*f22n[t]^2*g20[t] - 97641488149514466365551200*Sqrt[14]*lu1^12*f22n[t]^2*g20[t] - 569657704300743189279720000*Sqrt[14]*lu1^13*f22n[t]^2*g20[t] - 659101559547926988773280000*Sqrt[14]*lu1^14*f22n[t]^2*g20[t] - 227660151660221933452800000*Sqrt[14]*lu1^15*f22n[t]^2*g20[t] - 5881018215150*Sqrt[14]*f42[t]^2*g20[t] + 582691923070920*Sqrt[14]*lu1* f42[t]^2*g20[t] - 4377139164421920*Sqrt[14]*lu1^2*f42[t]^2*g20[t] - 1156390697498395320*Sqrt[14]*lu1^3*f42[t]^2*g20[t] + 35541497454344039340*Sqrt[14]*lu1^4*f42[t]^2*g20[t] + 263781048878740004040*Sqrt[14]*lu1^5*f42[t]^2*g20[t] - 19150097465435488648200*Sqrt[14]*lu1^6*f42[t]^2*g20[t] - 117684022005090671630760*Sqrt[14]*lu1^7*f42[t]^2*g20[t] + 2607493857309245407502610*Sqrt[14]*lu1^8*f42[t]^2*g20[t] + 29792400364801131615632880*Sqrt[14]*lu1^9*f42[t]^2*g20[t] + 115679780330878145508005880*Sqrt[14]*lu1^10*f42[t]^2*g20[t] + 275783676796443892037476320*Sqrt[14]*lu1^11*f42[t]^2*g20[t] + 315509380742696247726708960*Sqrt[14]*lu1^12*f42[t]^2*g20[t] - 121395094185838487977497600*Sqrt[14]*lu1^13*f42[t]^2*g20[t] - 345197232518254915846320000*Sqrt[14]*lu1^14*f42[t]^2*g20[t] - 10521696687834338959680000*Sqrt[14]*lu1^15*f42[t]^2*g20[t] - 2395991566800*Sqrt[42]*f22n[t]*f42n[t]*g20[t] + 481633854322140*Sqrt[42]*lu1*f22n[t]*f42n[t]*g20[t] - 8209994196343680*Sqrt[42]*lu1^2*f22n[t]*f42n[t]*g20[t] - 1276236694106800920*Sqrt[42]*lu1^3*f22n[t]*f42n[t]*g20[t] + 27914509322888195280*Sqrt[42]*lu1^4*f22n[t]*f42n[t]*g20[t] + 801866978604880256640*Sqrt[42]*lu1^5*f22n[t]*f42n[t]*g20[t] - 13384536031062777979840*Sqrt[42]*lu1^6*f22n[t]*f42n[t]*g20[t] - 181972719805557222492600*Sqrt[42]*lu1^7*f22n[t]*f42n[t]*g20[t] + 1432234177797019414806560*Sqrt[42]*lu1^8*f22n[t]*f42n[t]*g20[t] + 17734303509992331761928260*Sqrt[42]*lu1^9*f22n[t]*f42n[t]*g20[t] + 18641557084236395527880480*Sqrt[42]*lu1^10*f22n[t]*f42n[t]*g20[t] - 94053970198459444804593040*Sqrt[42]*lu1^11*f22n[t]*f42n[t]*g20[t] - 91431375705068319581306880*Sqrt[42]*lu1^12*f22n[t]*f42n[t]*g20[t] + 359198479255944998934180800*Sqrt[42]*lu1^13*f22n[t]*f42n[t]*g20[t] + 572076586875924001190592000*Sqrt[42]*lu1^14*f22n[t]*f42n[t]*g20[t] + 197691501504158528499360000*Sqrt[42]*lu1^15*f22n[t]*f42n[t]*g20[t] + 5881018215150*Sqrt[14]*f42n[t]^2*g20[t] - 582691923070920*Sqrt[14]* lu1*f42n[t]^2*g20[t] + 4377139164421920*Sqrt[14]*lu1^2*f42n[t]^2* g20[t] + 1156390697498395320*Sqrt[14]*lu1^3*f42n[t]^2*g20[t] - 35541497454344039340*Sqrt[14]*lu1^4*f42n[t]^2*g20[t] - 263781048878740004040*Sqrt[14]*lu1^5*f42n[t]^2*g20[t] + 19150097465435488648200*Sqrt[14]*lu1^6*f42n[t]^2*g20[t] + 117684022005090671630760*Sqrt[14]*lu1^7*f42n[t]^2*g20[t] - 2607493857309245407502610*Sqrt[14]*lu1^8*f42n[t]^2*g20[t] - 29792400364801131615632880*Sqrt[14]*lu1^9*f42n[t]^2*g20[t] - 115679780330878145508005880*Sqrt[14]*lu1^10*f42n[t]^2*g20[t] - 275783676796443892037476320*Sqrt[14]*lu1^11*f42n[t]^2*g20[t] - 315509380742696247726708960*Sqrt[14]*lu1^12*f42n[t]^2*g20[t] + 121395094185838487977497600*Sqrt[14]*lu1^13*f42n[t]^2*g20[t] + 345197232518254915846320000*Sqrt[14]*lu1^14*f42n[t]^2*g20[t] + 10521696687834338959680000*Sqrt[14]*lu1^15*f42n[t]^2*g20[t] + 23579043251400*Sqrt[5]*f40[t]*f44[t]*g20[t] + 4556879957710080* Sqrt[5]*lu1*f40[t]*f44[t]*g20[t] - 276180567210999360*Sqrt[5]*lu1^2* f40[t]*f44[t]*g20[t] - 12613169986672338720*Sqrt[5]*lu1^3*f40[t]* f44[t]*g20[t] + 485738779430634715440*Sqrt[5]*lu1^4*f40[t]*f44[t]* g20[t] + 8226727637364916112160*Sqrt[5]*lu1^5*f40[t]*f44[t]*g20[t] - 180048161580477658584480*Sqrt[5]*lu1^6*f40[t]*f44[t]*g20[t] - 2279943858350350068720480*Sqrt[5]*lu1^7*f40[t]*f44[t]*g20[t] + 15067777232980159927653960*Sqrt[5]*lu1^8*f40[t]*f44[t]*g20[t] + 246042220527648223993248480*Sqrt[5]*lu1^9*f40[t]*f44[t]*g20[t] + 778870186046848387747775520*Sqrt[5]*lu1^10*f40[t]*f44[t]*g20[t] + 573559262240287163426651520*Sqrt[5]*lu1^11*f40[t]*f44[t]*g20[t] - 493786543485353786010645120*Sqrt[5]*lu1^12*f40[t]*f44[t]*g20[t] - 300514385110690995826982400*Sqrt[5]*lu1^13*f40[t]*f44[t]*g20[t] + 496288560735073532776896000*Sqrt[5]*lu1^14*f40[t]*f44[t]*g20[t] + 286751082804302669978880000*Sqrt[5]*lu1^15*f40[t]*f44[t]*g20[t] + 177938446140*f44[t]*g20[t]^2 + 121649689652400*lu1*f44[t]*g20[t]^2 - 5678834547204000*lu1^2*f44[t]*g20[t]^2 - 330534255117109680*lu1^3* f44[t]*g20[t]^2 + 11924046206808339240*lu1^4*f44[t]*g20[t]^2 + 211004309269396078800*lu1^5*f44[t]*g20[t]^2 - 5680113378468230294320* lu1^6*f44[t]*g20[t]^2 - 52429064851485593653200*lu1^7*f44[t]* g20[t]^2 + 799364879709276746569340*lu1^8*f44[t]*g20[t]^2 + 6195752196092985121930880*lu1^9*f44[t]*g20[t]^2 - 20979524306818893452487760*lu1^10*f44[t]*g20[t]^2 - 162675994086454025012967040*lu1^11*f44[t]*g20[t]^2 - 226317295634009683631236800*lu1^12*f44[t]*g20[t]^2 + 109980997384639139822336000*lu1^13*f44[t]*g20[t]^2 + 386861626727735863485600000*lu1^14*f44[t]*g20[t]^2 + 170845870408896664800000000*lu1^15*f44[t]*g20[t]^2 - 2745211435200*Sqrt[210]*f40[t]*f42[t]*g22[t] + 953730114201540*Sqrt[210]*lu1*f40[t]*f42[t]*g22[t] - 20899771431888960*Sqrt[210]*lu1^2*f40[t]*f42[t]*g22[t] - 2486755902394647000*Sqrt[210]*lu1^3*f40[t]*f42[t]*g22[t] + 47722586268911073000*Sqrt[210]*lu1^4*f40[t]*f42[t]*g22[t] + 1377957869786773576080*Sqrt[210]*lu1^5*f40[t]*f42[t]*g22[t] - 11268235469435336272920*Sqrt[210]*lu1^6*f40[t]*f42[t]*g22[t] - 238838806269906847279080*Sqrt[210]*lu1^7*f40[t]*f42[t]*g22[t] - 271224122731649834939400*Sqrt[210]*lu1^8*f40[t]*f42[t]*g22[t] + 5669917724833361392805100*Sqrt[210]*lu1^9*f40[t]*f42[t]*g22[t] + 37902198571751479616010360*Sqrt[210]*lu1^10*f40[t]*f42[t]*g22[t] + 139319095964174181046929600*Sqrt[210]*lu1^11*f40[t]*f42[t]*g22[t] + 196693618143722998616086080*Sqrt[210]*lu1^12*f40[t]*f42[t]*g22[t] - 21585269581796147967355200*Sqrt[210]*lu1^13*f40[t]*f42[t]*g22[t] - 173927528536066780924176000*Sqrt[210]*lu1^14*f40[t]*f42[t]*g22[t] - 52133000788251275780160000*Sqrt[210]*lu1^15*f40[t]*f42[t]*g22[t] + 76222644170400*Sqrt[3]*f42[t]*f44[t]*g22[t] + 16308561089850120* Sqrt[3]*lu1*f42[t]*f44[t]*g22[t] - 912456202025833920*Sqrt[3]*lu1^2* f42[t]*f44[t]*g22[t] - 45846710890085916720*Sqrt[3]*lu1^3*f42[t]* f44[t]*g22[t] + 1569348193244418809040*Sqrt[3]*lu1^4*f42[t]*f44[t]* g22[t] + 30290000819032500567840*Sqrt[3]*lu1^5*f42[t]*f44[t]* g22[t] - 533151502595220802566000*Sqrt[3]*lu1^6*f42[t]*f44[t]* g22[t] - 7588284602517000070612560*Sqrt[3]*lu1^7*f42[t]*f44[t]* g22[t] + 35825416014564017063236560*Sqrt[3]*lu1^8*f42[t]*f44[t]* g22[t] + 671898809830563504564200280*Sqrt[3]*lu1^9*f42[t]*f44[t]* g22[t] + 2153594834890431170982023280*Sqrt[3]*lu1^10*f42[t]*f44[t]* g22[t] + 1512839906742515559937921920*Sqrt[3]*lu1^11*f42[t]*f44[t]* g22[t] - 1545040819207075690751072640*Sqrt[3]*lu1^12*f42[t]*f44[t]* g22[t] - 624600787024513048731945600*Sqrt[3]*lu1^13*f42[t]*f44[t]* g22[t] + 1751150827982590914428640000*Sqrt[3]*lu1^14*f42[t]*f44[t]* g22[t] + 649700078874331110837120000*Sqrt[3]*lu1^15*f42[t]*f44[t]* g22[t] - 81098925977160*f22n[t]*f44n[t]*g22[t] + 5331109251195000*lu1*f22n[t]*f44n[t]*g22[t] + 158353623503908560* lu1^2*f22n[t]*f44n[t]*g22[t] - 13950016147697207760*lu1^3*f22n[t]* f44n[t]*g22[t] - 5950727850583654320*lu1^4*f22n[t]*f44n[t]*g22[t] + 9265373344246671069600*lu1^5*f22n[t]*f44n[t]*g22[t] - 31270826574933929998560*lu1^6*f22n[t]*f44n[t]*g22[t] - 1989378003156961190351760*lu1^7*f22n[t]*f44n[t]*g22[t] + 1962730226011821738533880*lu1^8*f22n[t]*f44n[t]*g22[t] + 154556120404995003481473960*lu1^9*f22n[t]*f44n[t]*g22[t] + 376855154529455528962548240*lu1^10*f22n[t]*f44n[t]*g22[t] - 845856426959031871282929120*lu1^11*f22n[t]*f44n[t]*g22[t] + 237073739671294994262762240*lu1^12*f22n[t]*f44n[t]*g22[t] + 9081650085391841475607689600*lu1^13*f22n[t]*f44n[t]*g22[t] + 12249614382553438847253024000*lu1^14*f22n[t]*f44n[t]*g22[t] + 4176497493477016739478720000*lu1^15*f22n[t]*f44n[t]*g22[t] - 96562075428000*Sqrt[3]*f42n[t]*f44n[t]*g22[t] - 1037380750038360*Sqrt[3]*lu1*f42n[t]*f44n[t]*g22[t] + 427593335161224960*Sqrt[3]*lu1^2*f42n[t]*f44n[t]*g22[t] + 6426159199957420560*Sqrt[3]*lu1^3*f42n[t]*f44n[t]*g22[t] - 527625061001543734320*Sqrt[3]*lu1^4*f42n[t]*f44n[t]*g22[t] - 8381680911590506621920*Sqrt[3]*lu1^5*f42n[t]*f44n[t]*g22[t] + 188355062296436262973200*Sqrt[3]*lu1^6*f42n[t]*f44n[t]*g22[t] + 2713050483853904004436080*Sqrt[3]*lu1^7*f42n[t]*f44n[t]*g22[t] - 15176860815450492105008880*Sqrt[3]*lu1^8*f42n[t]*f44n[t]*g22[t] - 280249889402867053656135240*Sqrt[3]*lu1^9*f42n[t]*f44n[t]*g22[t] - 661078145588948076348799440*Sqrt[3]*lu1^10*f42n[t]*f44n[t]*g22[t] + 1219024578974556068487776640*Sqrt[3]*lu1^11*f42n[t]*f44n[t]*g22[t] + 3868646118484858218084769920*Sqrt[3]*lu1^12*f42n[t]*f44n[t]*g22[t] - 255049740538883957387011200*Sqrt[3]*lu1^13*f42n[t]*f44n[t]*g22[t] - 3952132812529822630688160000*Sqrt[3]*lu1^14*f42n[t]*f44n[t]*g22[t] - 882257837566969402680960000*Sqrt[3]*lu1^15*f42n[t]*f44n[t]*g22[t] + 290175836535*Sqrt[42]*f42[t]*g20[t]*g22[t] + 5445954548775*Sqrt[42]* lu1*f42[t]*g20[t]*g22[t] - 1675050561772965*Sqrt[42]*lu1^2*f42[t]* g20[t]*g22[t] - 10212192204063525*Sqrt[42]*lu1^3*f42[t]*g20[t]* g22[t] + 2480758864653513405*Sqrt[42]*lu1^4*f42[t]*g20[t]*g22[t] - 3267529579896404355*Sqrt[42]*lu1^5*f42[t]*g20[t]*g22[t] - 1019743728391333425415*Sqrt[42]*lu1^6*f42[t]*g20[t]*g22[t] + 322835342303234311785*Sqrt[42]*lu1^7*f42[t]*g20[t]*g22[t] + 171879956588029872221000*Sqrt[42]*lu1^8*f42[t]*g20[t]*g22[t] + 435723128786234629341560*Sqrt[42]*lu1^9*f42[t]*g20[t]*g22[t] - 10172930379069057762307600*Sqrt[42]*lu1^10*f42[t]*g20[t]*g22[t] - 61072719465458323209726880*Sqrt[42]*lu1^11*f42[t]*g20[t]*g22[t] - 96718905343656063151057920*Sqrt[42]*lu1^12*f42[t]*g20[t]*g22[t] + 30116114666302068575350400*Sqrt[42]*lu1^13*f42[t]*g20[t]*g22[t] + 133424709380752367532864000*Sqrt[42]*lu1^14*f42[t]*g20[t]*g22[t] + 45510735912704858184480000*Sqrt[42]*lu1^15*f42[t]*g20[t]*g22[t] + 153886752045*Sqrt[70]*f40[t]*g22[t]^2 - 308964547125*Sqrt[70]*lu1* f40[t]*g22[t]^2 - 680519771257365*Sqrt[70]*lu1^2*f40[t]*g22[t]^2 - 1188637410437685*Sqrt[70]*lu1^3*f40[t]*g22[t]^2 + 879606815709501945*Sqrt[70]*lu1^4*f40[t]*g22[t]^2 + 1700743395646599525*Sqrt[70]*lu1^5*f40[t]*g22[t]^2 - 387223159272638141895*Sqrt[70]*lu1^6*f40[t]*g22[t]^2 - 841372302472422866535*Sqrt[70]*lu1^7*f40[t]*g22[t]^2 + 62328201669334120485030*Sqrt[70]*lu1^8*f40[t]*g22[t]^2 + 225491829175106983626540*Sqrt[70]*lu1^9*f40[t]*g22[t]^2 - 3042058272904375523569680*Sqrt[70]*lu1^10*f40[t]*g22[t]^2 - 16325926214035380853784640*Sqrt[70]*lu1^11*f40[t]*g22[t]^2 - 17199411491593665349884960*Sqrt[70]*lu1^12*f40[t]*g22[t]^2 + 24804432046725797864299200*Sqrt[70]*lu1^13*f40[t]*g22[t]^2 + 40857042372017789010912000*Sqrt[70]*lu1^14*f40[t]*g22[t]^2 + 7879589314289166932640000*Sqrt[70]*lu1^15*f40[t]*g22[t]^2 - 2291272327890*f44[t]*g22[t]^2 + 417413624969250*lu1*f44[t]*g22[t]^2 - 10622700836035470*lu1^2*f44[t]*g22[t]^2 - 863805273217360110*lu1^3* f44[t]*g22[t]^2 + 31736863524249917670*lu1^4*f44[t]*g22[t]^2 + 211465752606430868910*lu1^5*f44[t]*g22[t]^2 - 12807430002809126567610* lu1^6*f44[t]*g22[t]^2 - 36922678945411025918970*lu1^7*f44[t]* g22[t]^2 + 2048394427030001481374580*lu1^8*f44[t]*g22[t]^2 + 8807323955943051011567640*lu1^9*f44[t]*g22[t]^2 - 113857020124265117599710720*lu1^10*f44[t]*g22[t]^2 - 892573298223264440133361920*lu1^11*f44[t]*g22[t]^2 - 1956805136478832561000148160*lu1^12*f44[t]*g22[t]^2 - 673097037845069650746460800*lu1^13*f44[t]*g22[t]^2 + 1649622150075292787127552000*lu1^14*f44[t]*g22[t]^2 + 1064421094373287673480640000*lu1^15*f44[t]*g22[t]^2 + 347348855880*Sqrt[70]*f22n[t]*f40[t]*g22n[t] + 271807203341700*Sqrt[70]*lu1*f22n[t]*f40[t]*g22n[t] - 10486033675682760*Sqrt[70]*lu1^2*f22n[t]*f40[t]*g22n[t] - 781424812101117600*Sqrt[70]*lu1^3*f22n[t]*f40[t]*g22n[t] + 20378099375403463200*Sqrt[70]*lu1^4*f22n[t]*f40[t]*g22n[t] + 520009064656223620920*Sqrt[70]*lu1^5*f22n[t]*f40[t]*g22n[t] - 8002565827020345341280*Sqrt[70]*lu1^6*f22n[t]*f40[t]*g22n[t] - 83196039763285231663920*Sqrt[70]*lu1^7*f22n[t]*f40[t]*g22n[t] + 548263444342835074752600*Sqrt[70]*lu1^8*f22n[t]*f40[t]*g22n[t] + 3215214913248264600300900*Sqrt[70]*lu1^9*f22n[t]*f40[t]*g22n[t] - 3614100439965463144558680*Sqrt[70]*lu1^10*f22n[t]*f40[t]*g22n[t] - 30050536446009883022303760*Sqrt[70]*lu1^11*f22n[t]*f40[t]*g22n[t] + 3296018557744856072001600*Sqrt[70]*lu1^12*f22n[t]*f40[t]*g22n[t] + 161874460052545916608171200*Sqrt[70]*lu1^13*f22n[t]*f40[t]*g22n[t] + 193306574171092840073616000*Sqrt[70]*lu1^14*f22n[t]*f40[t]*g22n[t] + 45033090127791716190240000*Sqrt[70]*lu1^15*f22n[t]*f40[t]*g22n[t] + 2745211435200*Sqrt[210]*f40[t]*f42n[t]*g22n[t] - 953730114201540*Sqrt[210]*lu1*f40[t]*f42n[t]*g22n[t] + 20899771431888960*Sqrt[210]*lu1^2*f40[t]*f42n[t]*g22n[t] + 2486755902394647000*Sqrt[210]*lu1^3*f40[t]*f42n[t]*g22n[t] - 47722586268911073000*Sqrt[210]*lu1^4*f40[t]*f42n[t]*g22n[t] - 1377957869786773576080*Sqrt[210]*lu1^5*f40[t]*f42n[t]*g22n[t] + 11268235469435336272920*Sqrt[210]*lu1^6*f40[t]*f42n[t]*g22n[t] + 238838806269906847279080*Sqrt[210]*lu1^7*f40[t]*f42n[t]*g22n[t] + 271224122731649834939400*Sqrt[210]*lu1^8*f40[t]*f42n[t]*g22n[t] - 5669917724833361392805100*Sqrt[210]*lu1^9*f40[t]*f42n[t]*g22n[t] - 37902198571751479616010360*Sqrt[210]*lu1^10*f40[t]*f42n[t]*g22n[t] - 139319095964174181046929600*Sqrt[210]*lu1^11*f40[t]*f42n[t]*g22n[t] - 196693618143722998616086080*Sqrt[210]*lu1^12*f40[t]*f42n[t]*g22n[t] + 21585269581796147967355200*Sqrt[210]*lu1^13*f40[t]*f42n[t]*g22n[t] + 173927528536066780924176000*Sqrt[210]*lu1^14*f40[t]*f42n[t]*g22n[t] + 52133000788251275780160000*Sqrt[210]*lu1^15*f40[t]*f42n[t]*g22n[t] + 112450707303480*f22n[t]*f44[t]*g22n[t] - 13599904367354760*lu1* f22n[t]*f44[t]*g22n[t] + 61522010386527600*lu1^2*f22n[t]*f44[t]* g22n[t] + 33384268984205346480*lu1^3*f22n[t]*f44[t]*g22n[t] - 567299379529096490640*lu1^4*f22n[t]*f44[t]*g22n[t] - 17914540077411533468640*lu1^5*f22n[t]*f44[t]*g22n[t] + 239378620666170652255680*lu1^6*f22n[t]*f44[t]*g22n[t] + 4039344180660317272401840*lu1^7*f22n[t]*f44[t]*g22n[t] - 22023518993425773642185640*lu1^8*f22n[t]*f44[t]*g22n[t] - 381080655299589470773755480*lu1^9*f22n[t]*f44[t]*g22n[t] - 750513858507546420173905200*lu1^10*f22n[t]*f44[t]*g22n[t] + 1959697368509283033574725600*lu1^11*f22n[t]*f44[t]*g22n[t] + 7690930127741538044666906880*lu1^12*f22n[t]*f44[t]*g22n[t] + 3957493651629524601349372800*lu1^13*f22n[t]*f44[t]*g22n[t] - 5949798408922836907062624000*lu1^14*f22n[t]*f44[t]*g22n[t] - 4153706982884627881352640000*lu1^15*f22n[t]*f44[t]*g22n[t] + 76222644170400*Sqrt[3]*f42n[t]*f44[t]*g22n[t] + 16308561089850120*Sqrt[3]*lu1*f42n[t]*f44[t]*g22n[t] - 912456202025833920*Sqrt[3]*lu1^2*f42n[t]*f44[t]*g22n[t] - 45846710890085916720*Sqrt[3]*lu1^3*f42n[t]*f44[t]*g22n[t] + 1569348193244418809040*Sqrt[3]*lu1^4*f42n[t]*f44[t]*g22n[t] + 30290000819032500567840*Sqrt[3]*lu1^5*f42n[t]*f44[t]*g22n[t] - 533151502595220802566000*Sqrt[3]*lu1^6*f42n[t]*f44[t]*g22n[t] - 7588284602517000070612560*Sqrt[3]*lu1^7*f42n[t]*f44[t]*g22n[t] + 35825416014564017063236560*Sqrt[3]*lu1^8*f42n[t]*f44[t]*g22n[t] + 671898809830563504564200280*Sqrt[3]*lu1^9*f42n[t]*f44[t]*g22n[t] + 2153594834890431170982023280*Sqrt[3]*lu1^10*f42n[t]*f44[t]*g22n[t] + 1512839906742515559937921920*Sqrt[3]*lu1^11*f42n[t]*f44[t]*g22n[t] - 1545040819207075690751072640*Sqrt[3]*lu1^12*f42n[t]*f44[t]*g22n[t] - 624600787024513048731945600*Sqrt[3]*lu1^13*f42n[t]*f44[t]*g22n[t] + 1751150827982590914428640000*Sqrt[3]*lu1^14*f42n[t]*f44[t]*g22n[t] + 649700078874331110837120000*Sqrt[3]*lu1^15*f42n[t]*f44[t]*g22n[t] + 96562075428000*Sqrt[3]*f42[t]*f44n[t]*g22n[t] + 1037380750038360*Sqrt[3]*lu1*f42[t]*f44n[t]*g22n[t] - 427593335161224960*Sqrt[3]*lu1^2*f42[t]*f44n[t]*g22n[t] - 6426159199957420560*Sqrt[3]*lu1^3*f42[t]*f44n[t]*g22n[t] + 527625061001543734320*Sqrt[3]*lu1^4*f42[t]*f44n[t]*g22n[t] + 8381680911590506621920*Sqrt[3]*lu1^5*f42[t]*f44n[t]*g22n[t] - 188355062296436262973200*Sqrt[3]*lu1^6*f42[t]*f44n[t]*g22n[t] - 2713050483853904004436080*Sqrt[3]*lu1^7*f42[t]*f44n[t]*g22n[t] + 15176860815450492105008880*Sqrt[3]*lu1^8*f42[t]*f44n[t]*g22n[t] + 280249889402867053656135240*Sqrt[3]*lu1^9*f42[t]*f44n[t]*g22n[t] + 661078145588948076348799440*Sqrt[3]*lu1^10*f42[t]*f44n[t]*g22n[t] - 1219024578974556068487776640*Sqrt[3]*lu1^11*f42[t]*f44n[t]*g22n[t] - 3868646118484858218084769920*Sqrt[3]*lu1^12*f42[t]*f44n[t]*g22n[t] + 255049740538883957387011200*Sqrt[3]*lu1^13*f42[t]*f44n[t]*g22n[t] + 3952132812529822630688160000*Sqrt[3]*lu1^14*f42[t]*f44n[t]*g22n[t] + 882257837566969402680960000*Sqrt[3]*lu1^15*f42[t]*f44n[t]*g22n[t] + 68770182195*Sqrt[14]*f22n[t]*g20[t]*g22n[t] + 7827321535605*Sqrt[14]* lu1*f22n[t]*g20[t]*g22n[t] - 658638042886395*Sqrt[14]*lu1^2*f22n[t]* g20[t]*g22n[t] - 21987135613363635*Sqrt[14]*lu1^3*f22n[t]*g20[t]* g22n[t] + 1264800843035659215*Sqrt[14]*lu1^4*f22n[t]*g20[t]* g22n[t] + 14160528529928083875*Sqrt[14]*lu1^5*f22n[t]*g20[t]* g22n[t] - 704430272282512217585*Sqrt[14]*lu1^6*f22n[t]*g20[t]* g22n[t] - 2899480114380345246465*Sqrt[14]*lu1^7*f22n[t]*g20[t]* g22n[t] + 129365166746145941254930*Sqrt[14]*lu1^8*f22n[t]*g20[t]* g22n[t] + 450561708926984796950380*Sqrt[14]*lu1^9*f22n[t]*g20[t]* g22n[t] - 7880530074221567562679880*Sqrt[14]*lu1^10*f22n[t]*g20[t]* g22n[t] - 37395119579324788101289040*Sqrt[14]*lu1^11*f22n[t]*g20[t]* g22n[t] - 1083187121863133622535200*Sqrt[14]*lu1^12*f22n[t]*g20[t]* g22n[t] + 148023897775503990810856000*Sqrt[14]*lu1^13*f22n[t]*g20[t]* g22n[t] + 188747651388209226833520000*Sqrt[14]*lu1^14*f22n[t]*g20[t]* g22n[t] + 69377892975874720036800000*Sqrt[14]*lu1^15*f22n[t]*g20[t]* g22n[t] - 290175836535*Sqrt[42]*f42n[t]*g20[t]*g22n[t] - 5445954548775*Sqrt[42]*lu1*f42n[t]*g20[t]*g22n[t] + 1675050561772965*Sqrt[42]*lu1^2*f42n[t]*g20[t]*g22n[t] + 10212192204063525*Sqrt[42]*lu1^3*f42n[t]*g20[t]*g22n[t] - 2480758864653513405*Sqrt[42]*lu1^4*f42n[t]*g20[t]*g22n[t] + 3267529579896404355*Sqrt[42]*lu1^5*f42n[t]*g20[t]*g22n[t] + 1019743728391333425415*Sqrt[42]*lu1^6*f42n[t]*g20[t]*g22n[t] - 322835342303234311785*Sqrt[42]*lu1^7*f42n[t]*g20[t]*g22n[t] - 171879956588029872221000*Sqrt[42]*lu1^8*f42n[t]*g20[t]*g22n[t] - 435723128786234629341560*Sqrt[42]*lu1^9*f42n[t]*g20[t]*g22n[t] + 10172930379069057762307600*Sqrt[42]*lu1^10*f42n[t]*g20[t]*g22n[t] + 61072719465458323209726880*Sqrt[42]*lu1^11*f42n[t]*g20[t]*g22n[t] + 96718905343656063151057920*Sqrt[42]*lu1^12*f42n[t]*g20[t]*g22n[t] - 30116114666302068575350400*Sqrt[42]*lu1^13*f42n[t]*g20[t]*g22n[t] - 133424709380752367532864000*Sqrt[42]*lu1^14*f42n[t]*g20[t]*g22n[t] - 45510735912704858184480000*Sqrt[42]*lu1^15*f42n[t]*g20[t]*g22n[t] - 153886752045*Sqrt[70]*f40[t]*g22n[t]^2 + 308964547125*Sqrt[70]*lu1* f40[t]*g22n[t]^2 + 680519771257365*Sqrt[70]*lu1^2*f40[t]*g22n[t]^2 + 1188637410437685*Sqrt[70]*lu1^3*f40[t]*g22n[t]^2 - 879606815709501945*Sqrt[70]*lu1^4*f40[t]*g22n[t]^2 - 1700743395646599525*Sqrt[70]*lu1^5*f40[t]*g22n[t]^2 + 387223159272638141895*Sqrt[70]*lu1^6*f40[t]*g22n[t]^2 + 841372302472422866535*Sqrt[70]*lu1^7*f40[t]*g22n[t]^2 - 62328201669334120485030*Sqrt[70]*lu1^8*f40[t]*g22n[t]^2 - 225491829175106983626540*Sqrt[70]*lu1^9*f40[t]*g22n[t]^2 + 3042058272904375523569680*Sqrt[70]*lu1^10*f40[t]*g22n[t]^2 + 16325926214035380853784640*Sqrt[70]*lu1^11*f40[t]*g22n[t]^2 + 17199411491593665349884960*Sqrt[70]*lu1^12*f40[t]*g22n[t]^2 - 24804432046725797864299200*Sqrt[70]*lu1^13*f40[t]*g22n[t]^2 - 40857042372017789010912000*Sqrt[70]*lu1^14*f40[t]*g22n[t]^2 - 7879589314289166932640000*Sqrt[70]*lu1^15*f40[t]*g22n[t]^2 - 2291272327890*f44[t]*g22n[t]^2 + 417413624969250*lu1*f44[t]* g22n[t]^2 - 10622700836035470*lu1^2*f44[t]*g22n[t]^2 - 863805273217360110*lu1^3*f44[t]*g22n[t]^2 + 31736863524249917670* lu1^4*f44[t]*g22n[t]^2 + 211465752606430868910*lu1^5*f44[t]* g22n[t]^2 - 12807430002809126567610*lu1^6*f44[t]*g22n[t]^2 - 36922678945411025918970*lu1^7*f44[t]*g22n[t]^2 + 2048394427030001481374580*lu1^8*f44[t]*g22n[t]^2 + 8807323955943051011567640*lu1^9*f44[t]*g22n[t]^2 - 113857020124265117599710720*lu1^10*f44[t]*g22n[t]^2 - 892573298223264440133361920*lu1^11*f44[t]*g22n[t]^2 - 1956805136478832561000148160*lu1^12*f44[t]*g22n[t]^2 - 673097037845069650746460800*lu1^13*f44[t]*g22n[t]^2 + 1649622150075292787127552000*lu1^14*f44[t]*g22n[t]^2 + 1064421094373287673480640000*lu1^15*f44[t]*g22n[t]^2 + 741114288720*Sqrt[70]*f22n[t]^2*g40[t] + 90519820936740*Sqrt[70]*lu1* f22n[t]^2*g40[t] - 5142259302059880*Sqrt[70]*lu1^2*f22n[t]^2* g40[t] - 277100773594898760*Sqrt[70]*lu1^3*f22n[t]^2*g40[t] + 6490240207128512640*Sqrt[70]*lu1^4*f22n[t]^2*g40[t] + 172471575708278801760*Sqrt[70]*lu1^5*f22n[t]^2*g40[t] - 1097363959304256440160*Sqrt[70]*lu1^6*f22n[t]^2*g40[t] - 5573870875033060072200*Sqrt[70]*lu1^7*f22n[t]^2*g40[t] - 3676101498537839595120*Sqrt[70]*lu1^8*f22n[t]^2*g40[t] + 337495203608016587562780*Sqrt[70]*lu1^9*f22n[t]^2*g40[t] - 846040526592901525455960*Sqrt[70]*lu1^10*f22n[t]^2*g40[t] - 4767101206505545500462480*Sqrt[70]*lu1^11*f22n[t]^2*g40[t] + 15720153324277979676889920*Sqrt[70]*lu1^12*f22n[t]^2*g40[t] + 73844355051170964574766400*Sqrt[70]*lu1^13*f22n[t]^2*g40[t] + 85941661570635774221136000*Sqrt[70]*lu1^14*f22n[t]^2*g40[t] + 30100051097053636476960000*Sqrt[70]*lu1^15*f22n[t]^2*g40[t] + 8326430284572*Sqrt[70]*f42[t]^2*g40[t] + 190967829912180*Sqrt[70]*lu1* f42[t]^2*g40[t] - 31174261529592384*Sqrt[70]*lu1^2*f42[t]^2*g40[t] - 969973300489033368*Sqrt[70]*lu1^3*f42[t]^2*g40[t] + 30978700915364793648*Sqrt[70]*lu1^4*f42[t]^2*g40[t] + 459931942210794688944*Sqrt[70]*lu1^5*f42[t]^2*g40[t] - 850693036222023744456*Sqrt[70]*lu1^6*f42[t]^2*g40[t] + 182196539220665125883160*Sqrt[70]*lu1^7*f42[t]^2*g40[t] + 1129386022711655449892724*Sqrt[70]*lu1^8*f42[t]^2*g40[t] - 7630740026400802070881764*Sqrt[70]*lu1^9*f42[t]^2*g40[t] - 45489680049680915572806840*Sqrt[70]*lu1^10*f42[t]^2*g40[t] - 35861918032627883482499712*Sqrt[70]*lu1^11*f42[t]^2*g40[t] + 101293467369559102566158976*Sqrt[70]*lu1^12*f42[t]^2*g40[t] + 132338025249387603437430720*Sqrt[70]*lu1^13*f42[t]^2*g40[t] + 7113585124663530805353600*Sqrt[70]*lu1^14*f42[t]^2*g40[t] - 1209172292023704200640000*Sqrt[70]*lu1^15*f42[t]^2*g40[t] + 384045834276*Sqrt[210]*f22n[t]*f42n[t]*g40[t] - 452855963769768*Sqrt[210]*lu1*f22n[t]*f42n[t]*g40[t] + 9190876932789552*Sqrt[210]*lu1^2*f22n[t]*f42n[t]*g40[t] + 1283018843217739680*Sqrt[210]*lu1^3*f22n[t]*f42n[t]*g40[t] - 14002918896596105736*Sqrt[210]*lu1^4*f22n[t]*f42n[t]*g40[t] - 760667016150936638640*Sqrt[210]*lu1^5*f22n[t]*f42n[t]*g40[t] - 323878018967177486448*Sqrt[210]*lu1^6*f22n[t]*f42n[t]*g40[t] + 84417321937107437232864*Sqrt[210]*lu1^7*f22n[t]*f42n[t]*g40[t] + 360941615040247179440580*Sqrt[210]*lu1^8*f22n[t]*f42n[t]*g40[t] - 3665706067298196209886312*Sqrt[210]*lu1^9*f22n[t]*f42n[t]*g40[t] - 6958493472235640189628384*Sqrt[210]*lu1^10*f22n[t]*f42n[t]*g40[t] + 22057774968253386576467136*Sqrt[210]*lu1^11*f22n[t]*f42n[t]*g40[t] + 6499650922718749857172800*Sqrt[210]*lu1^12*f22n[t]*f42n[t]*g40[t] - 155853335602211754329347200*Sqrt[210]*lu1^13*f22n[t]*f42n[t]*g40[t] - 220047759944689691099904000*Sqrt[210]*lu1^14*f22n[t]*f42n[t]*g40[t] - 80507033106454671575040000*Sqrt[210]*lu1^15*f22n[t]*f42n[t]*g40[t] - 8326430284572*Sqrt[70]*f42n[t]^2*g40[t] - 190967829912180*Sqrt[70]* lu1*f42n[t]^2*g40[t] + 31174261529592384*Sqrt[70]*lu1^2*f42n[t]^2* g40[t] + 969973300489033368*Sqrt[70]*lu1^3*f42n[t]^2*g40[t] - 30978700915364793648*Sqrt[70]*lu1^4*f42n[t]^2*g40[t] - 459931942210794688944*Sqrt[70]*lu1^5*f42n[t]^2*g40[t] + 850693036222023744456*Sqrt[70]*lu1^6*f42n[t]^2*g40[t] - 182196539220665125883160*Sqrt[70]*lu1^7*f42n[t]^2*g40[t] - 1129386022711655449892724*Sqrt[70]*lu1^8*f42n[t]^2*g40[t] + 7630740026400802070881764*Sqrt[70]*lu1^9*f42n[t]^2*g40[t] + 45489680049680915572806840*Sqrt[70]*lu1^10*f42n[t]^2*g40[t] + 35861918032627883482499712*Sqrt[70]*lu1^11*f42n[t]^2*g40[t] - 101293467369559102566158976*Sqrt[70]*lu1^12*f42n[t]^2*g40[t] - 132338025249387603437430720*Sqrt[70]*lu1^13*f42n[t]^2*g40[t] - 7113585124663530805353600*Sqrt[70]*lu1^14*f42n[t]^2*g40[t] + 1209172292023704200640000*Sqrt[70]*lu1^15*f42n[t]^2*g40[t] + 14652888102720*f40[t]*f44[t]*g40[t] - 22686235570207440*lu1*f40[t]* f44[t]*g40[t] + 364130005297413600*lu1^2*f40[t]*f44[t]*g40[t] + 54677574577459884960*lu1^3*f40[t]*f44[t]*g40[t] - 216633118063388342400*lu1^4*f40[t]*f44[t]*g40[t] - 14190415911968618831040*lu1^5*f40[t]*f44[t]*g40[t] - 177021219741221058255360*lu1^6*f40[t]*f44[t]*g40[t] - 1510182427694040818030880*lu1^7*f40[t]*f44[t]*g40[t] + 772202881190609697366720*lu1^8*f40[t]*f44[t]*g40[t] + 7513496710476567162685200*lu1^9*f40[t]*f44[t]*g40[t] + 390539860690270875672846240*lu1^10*f40[t]*f44[t]*g40[t] + 1771318615938039896504797440*lu1^11*f40[t]*f44[t]*g40[t] + 2243530286282481264590941440*lu1^12*f40[t]*f44[t]*g40[t] + 37938393990687835991404800*lu1^13*f40[t]*f44[t]*g40[t] - 1148711828036570164575936000*lu1^14*f40[t]*f44[t]*g40[t] - 416940521344919281785600000*lu1^15*f40[t]*f44[t]*g40[t] - 527894582670*Sqrt[5]*f44[t]*g20[t]*g40[t] - 187681562858790*Sqrt[5]* lu1*f44[t]*g20[t]*g40[t] + 7812973474709130*Sqrt[5]*lu1^2*f44[t]* g20[t]*g40[t] + 493264836118872090*Sqrt[5]*lu1^3*f44[t]*g20[t]* g40[t] - 12329555520149324730*Sqrt[5]*lu1^4*f44[t]*g20[t]*g40[t] - 233608661677204787610*Sqrt[5]*lu1^5*f44[t]*g20[t]*g40[t] + 3661021608773877727470*Sqrt[5]*lu1^6*f44[t]*g20[t]*g40[t] + 42342595443217811073150*Sqrt[5]*lu1^7*f44[t]*g20[t]*g40[t] - 264974673495843178423920*Sqrt[5]*lu1^8*f44[t]*g20[t]*g40[t] - 2788279187290946366504760*Sqrt[5]*lu1^9*f44[t]*g20[t]*g40[t] + 1924122982139552590119360*Sqrt[5]*lu1^10*f44[t]*g20[t]*g40[t] + 59475903473109936371176800*Sqrt[5]*lu1^11*f44[t]*g20[t]*g40[t] + 134020597654478467902977280*Sqrt[5]*lu1^12*f44[t]*g20[t]*g40[t] + 15401031661793809490659200*Sqrt[5]*lu1^13*f44[t]*g20[t]*g40[t] - 176025231308052329007168000*Sqrt[5]*lu1^14*f44[t]*g20[t]*g40[t] - 95752468770725515432320000*Sqrt[5]*lu1^15*f44[t]*g20[t]*g40[t] - 209109009915*Sqrt[210]*f42[t]*g22[t]*g40[t] - 2948117748615*Sqrt[210]* lu1*f42[t]*g22[t]*g40[t] + 1121532736049505*Sqrt[210]*lu1^2*f42[t]* g22[t]*g40[t] + 7242013439472825*Sqrt[210]*lu1^3*f42[t]*g22[t]* g40[t] - 1600143201685932345*Sqrt[210]*lu1^4*f42[t]*g22[t]*g40[t] - 1443816338063508825*Sqrt[210]*lu1^5*f42[t]*g22[t]*g40[t] + 651966064377963390315*Sqrt[210]*lu1^6*f42[t]*g22[t]*g40[t] + 1358730136692481544355*Sqrt[210]*lu1^7*f42[t]*g22[t]*g40[t] - 96230034092545654774200*Sqrt[210]*lu1^8*f42[t]*g22[t]*g40[t] - 386006864794159941877740*Sqrt[210]*lu1^9*f42[t]*g22[t]*g40[t] + 3178245322441021685230560*Sqrt[210]*lu1^10*f42[t]*g22[t]*g40[t] + 12118190616713251404163440*Sqrt[210]*lu1^11*f42[t]*g22[t]*g40[t] + 2573711442304459728435840*Sqrt[210]*lu1^12*f42[t]*g22[t]*g40[t] - 28220749726206434612155200*Sqrt[210]*lu1^13*f42[t]*g22[t]*g40[t] - 33398791099580448386208000*Sqrt[210]*lu1^14*f42[t]*g22[t]*g40[t] - 13140943671838047549120000*Sqrt[210]*lu1^15*f42[t]*g22[t]*g40[t] - 37851754005*Sqrt[70]*f22n[t]*g22n[t]*g40[t] - 5140936903635*Sqrt[70]* lu1*f22n[t]*g22n[t]*g40[t] + 345873662843085*Sqrt[70]*lu1^2*f22n[t]* g22n[t]*g40[t] + 14825842310680245*Sqrt[70]*lu1^3*f22n[t]*g22n[t]* g40[t] - 587222054566398225*Sqrt[70]*lu1^4*f22n[t]*g22n[t]*g40[t] - 9476894997940573125*Sqrt[70]*lu1^5*f22n[t]*g22n[t]*g40[t] + 245682651125337907455*Sqrt[70]*lu1^6*f22n[t]*g22n[t]*g40[t] + 1521470269928158426695*Sqrt[70]*lu1^7*f22n[t]*g22n[t]*g40[t] - 26467427767004547542310*Sqrt[70]*lu1^8*f22n[t]*g22n[t]*g40[t] - 87427211987866586436900*Sqrt[70]*lu1^9*f22n[t]*g22n[t]*g40[t] + 849567478566952151653920*Sqrt[70]*lu1^10*f22n[t]*g22n[t]*g40[t] + 2298415454460201220996800*Sqrt[70]*lu1^11*f22n[t]*g22n[t]*g40[t] - 5567930399742144905858400*Sqrt[70]*lu1^12*f22n[t]*g22n[t]*g40[t] - 24101223535658032812110400*Sqrt[70]*lu1^13*f22n[t]*g22n[t]*g40[t] - 26874910288351168784832000*Sqrt[70]*lu1^14*f22n[t]*g22n[t]*g40[t] - 9524609748460807771680000*Sqrt[70]*lu1^15*f22n[t]*g22n[t]*g40[t] + 209109009915*Sqrt[210]*f42n[t]*g22n[t]*g40[t] + 2948117748615*Sqrt[210]*lu1*f42n[t]*g22n[t]*g40[t] - 1121532736049505*Sqrt[210]*lu1^2*f42n[t]*g22n[t]*g40[t] - 7242013439472825*Sqrt[210]*lu1^3*f42n[t]*g22n[t]*g40[t] + 1600143201685932345*Sqrt[210]*lu1^4*f42n[t]*g22n[t]*g40[t] + 1443816338063508825*Sqrt[210]*lu1^5*f42n[t]*g22n[t]*g40[t] - 651966064377963390315*Sqrt[210]*lu1^6*f42n[t]*g22n[t]*g40[t] - 1358730136692481544355*Sqrt[210]*lu1^7*f42n[t]*g22n[t]*g40[t] + 96230034092545654774200*Sqrt[210]*lu1^8*f42n[t]*g22n[t]*g40[t] + 386006864794159941877740*Sqrt[210]*lu1^9*f42n[t]*g22n[t]*g40[t] - 3178245322441021685230560*Sqrt[210]*lu1^10*f42n[t]*g22n[t]*g40[t] - 12118190616713251404163440*Sqrt[210]*lu1^11*f42n[t]*g22n[t]*g40[t] - 2573711442304459728435840*Sqrt[210]*lu1^12*f42n[t]*g22n[t]*g40[t] + 28220749726206434612155200*Sqrt[210]*lu1^13*f42n[t]*g22n[t]*g40[t] + 33398791099580448386208000*Sqrt[210]*lu1^14*f42n[t]*g22n[t]*g40[t] + 13140943671838047549120000*Sqrt[210]*lu1^15*f42n[t]*g22n[t]*g40[t] - 525242298420*f44[t]*g40[t]^2 + 433680690216060*lu1*f44[t]*g40[t]^2 - 10913146429458420*lu1^2*f44[t]*g40[t]^2 - 978882414113926980*lu1^3* f44[t]*g40[t]^2 + 16339884174654061140*lu1^4*f44[t]*g40[t]^2 + 346214974438446577380*lu1^5*f44[t]*g40[t]^2 - 3207211751827534889340* lu1^6*f44[t]*g40[t]^2 - 51975237220520911356780*lu1^7*f44[t]* g40[t]^2 + 52865798217374034602640*lu1^8*f44[t]*g40[t]^2 + 2626558856671380598734480*lu1^9*f44[t]*g40[t]^2 + 8228592806218707150325440*lu1^10*f44[t]*g40[t]^2 - 47152417795162669642201920*lu1^11*f44[t]*g40[t]^2 - 198700438076712747390055680*lu1^12*f44[t]*g40[t]^2 - 126548172234154124384313600*lu1^13*f44[t]*g40[t]^2 + 167388911006987564600832000*lu1^14*f44[t]*g40[t]^2 + 119134137443065978867200000*lu1^15*f44[t]*g40[t]^2 + 2738837093220*Sqrt[70]*f40[t]*f42[t]*g42[t] + 820096340441004*Sqrt[70]*lu1*f40[t]*f42[t]*g42[t] - 12048106164753024*Sqrt[70]*lu1^2*f40[t]*f42[t]*g42[t] - 2089559608754728824*Sqrt[70]*lu1^3*f40[t]*f42[t]*g42[t] + 1653594865226003088*Sqrt[70]*lu1^4*f40[t]*f42[t]*g42[t] - 798989232669367089312*Sqrt[70]*lu1^5*f40[t]*f42[t]*g42[t] + 302658484833196505640*Sqrt[70]*lu1^6*f40[t]*f42[t]*g42[t] + 252463931881911578635128*Sqrt[70]*lu1^7*f40[t]*f42[t]*g42[t] + 1248422463270082214776332*Sqrt[70]*lu1^8*f40[t]*f42[t]*g42[t] - 7817439515086076612091084*Sqrt[70]*lu1^9*f40[t]*f42[t]*g42[t] - 46900796007235186784292264*Sqrt[70]*lu1^10*f40[t]*f42[t]*g42[t] - 66990409577742256594678656*Sqrt[70]*lu1^11*f40[t]*f42[t]*g42[t] + 21914446395562528427574912*Sqrt[70]*lu1^12*f40[t]*f42[t]*g42[t] + 145263376838697302383007040*Sqrt[70]*lu1^13*f40[t]*f42[t]*g42[t] + 125216961512679125332387200*Sqrt[70]*lu1^14*f40[t]*f42[t]*g42[t] + 12185465021861000667840000*Sqrt[70]*lu1^15*f40[t]*f42[t]*g42[t] + 197513714619144*f42[t]*f44[t]*g42[t] - 37980622059996168*lu1*f42[t]* f44[t]*g42[t] + 90115966606921920*lu1^2*f42[t]*f44[t]*g42[t] + 81497702704935745872*lu1^3*f42[t]*f44[t]*g42[t] + 152719623664420811040*lu1^4*f42[t]*f44[t]*g42[t] - 23524051988459449885248*lu1^5*f42[t]*f44[t]*g42[t] - 368509636562698309380912*lu1^6*f42[t]*f44[t]*g42[t] + 1558802225513254747387824*lu1^7*f42[t]*f44[t]*g42[t] + 28452249681592504795020504*lu1^8*f42[t]*f44[t]*g42[t] - 163894871475596861854180920*lu1^9*f42[t]*f44[t]*g42[t] - 286931354247266211006732432*lu1^10*f42[t]*f44[t]*g42[t] + 2560592850570895437227766528*lu1^11*f42[t]*f44[t]*g42[t] + 6480139379976024243078866688*lu1^12*f42[t]*f44[t]*g42[t] + 3224082351217198347268882560*lu1^13*f42[t]*f44[t]*g42[t] - 1580290913353585169234131200*lu1^14*f42[t]*f44[t]*g42[t] - 799586755372263038866560000*lu1^15*f42[t]*f44[t]*g42[t] + 38258622969840*Sqrt[3]*f22n[t]*f44n[t]*g42[t] - 635155144205400*Sqrt[3]*lu1*f22n[t]*f44n[t]*g42[t] - 133489207975818240*Sqrt[3]*lu1^2*f22n[t]*f44n[t]*g42[t] + 2567761670000872800*Sqrt[3]*lu1^3*f22n[t]*f44n[t]*g42[t] + 106970971697512955760*Sqrt[3]*lu1^4*f22n[t]*f44n[t]*g42[t] - 4089609622288929538800*Sqrt[3]*lu1^5*f22n[t]*f44n[t]*g42[t] - 37181972020754058235920*Sqrt[3]*lu1^6*f22n[t]*f44n[t]*g42[t] + 561889707647154097280160*Sqrt[3]*lu1^7*f22n[t]*f44n[t]*g42[t] + 4101060319126379601501600*Sqrt[3]*lu1^8*f22n[t]*f44n[t]*g42[t] - 29922788502637169056215480*Sqrt[3]*lu1^9*f22n[t]*f44n[t]*g42[t] - 64524451347979758051112560*Sqrt[3]*lu1^10*f22n[t]*f44n[t]*g42[t] + 256110589548240058022751360*Sqrt[3]*lu1^11*f22n[t]*f44n[t]*g42[t] - 10640563214897427915841920*Sqrt[3]*lu1^12*f22n[t]*f44n[t]*g42[t] - 2110726767580220420655024000*Sqrt[3]*lu1^13*f22n[t]*f44n[t]*g42[t] - 2654151995682398344914144000*Sqrt[3]*lu1^14*f22n[t]*f44n[t]*g42[t] - 704514547330459607064960000*Sqrt[3]*lu1^15*f22n[t]*f44n[t]*g42[t] - 36625635794664*f42n[t]*f44n[t]*g42[t] + 5900118931456344*lu1*f42n[t]* f44n[t]*g42[t] + 154228033888496064*lu1^2*f42n[t]*f44n[t]*g42[t] - 26381475924665290128*lu1^3*f42n[t]*f44n[t]*g42[t] - 352631462782453380288*lu1^4*f42n[t]*f44n[t]*g42[t] + 29014443127098282238560*lu1^5*f42n[t]*f44n[t]*g42[t] + 413059528532460029390352*lu1^6*f42n[t]*f44n[t]*g42[t] - 2750939280219544790915952*lu1^7*f42n[t]*f44n[t]*g42[t] - 45222738412134060187275096*lu1^8*f42n[t]*f44n[t]*g42[t] + 116434701614368885743914184*lu1^9*f42n[t]*f44n[t]*g42[t] + 865927258834587113490114096*lu1^10*f42n[t]*f44n[t]*g42[t] + 315924755714886606474912768*lu1^11*f42n[t]*f44n[t]*g42[t] - 2426800633552767333217789440*lu1^12*f42n[t]*f44n[t]*g42[t] - 2015397383610826277816342400*lu1^13*f42n[t]*f44n[t]*g42[t] + 1113249625711996441263840000*lu1^14*f42n[t]*f44n[t]*g42[t] + 1173631668081632397429120000*lu1^15*f42n[t]*f44n[t]*g42[t] - 645690233565*Sqrt[14]*f42[t]*g20[t]*g42[t] + 4056548205645*Sqrt[14]* lu1*f42[t]*g20[t]*g42[t] + 2854210047161265*Sqrt[14]*lu1^2*f42[t]* g20[t]*g42[t] + 23651619507786465*Sqrt[14]*lu1^3*f42[t]*g20[t]* g42[t] - 4114897030126984725*Sqrt[14]*lu1^4*f42[t]*g20[t]*g42[t] - 69377245208177026185*Sqrt[14]*lu1^5*f42[t]*g20[t]*g42[t] + 1716936398465607733635*Sqrt[14]*lu1^6*f42[t]*g20[t]*g42[t] + 14980497190055665774155*Sqrt[14]*lu1^7*f42[t]*g20[t]*g42[t] - 142929614340321948431370*Sqrt[14]*lu1^8*f42[t]*g20[t]*g42[t] - 713997433667044013713200*Sqrt[14]*lu1^9*f42[t]*g20[t]*g42[t] + 4260272806916964114699240*Sqrt[14]*lu1^10*f42[t]*g20[t]*g42[t] + 21741425771817387687517440*Sqrt[14]*lu1^11*f42[t]*g20[t]*g42[t] - 9539953379301073136335200*Sqrt[14]*lu1^12*f42[t]*g20[t]*g42[t] - 123252292051727275074643200*Sqrt[14]*lu1^13*f42[t]*g20[t]*g42[t] - 110378512783239321754224000*Sqrt[14]*lu1^14*f42[t]*g20[t]*g42[t] + 4368374195955717336480000*Sqrt[14]*lu1^15*f42[t]*g20[t]*g42[t] - 374819551470*Sqrt[210]*f40[t]*g22[t]*g42[t] + 3362449765662*Sqrt[210]* lu1*f40[t]*g22[t]*g42[t] + 1562348622091374*Sqrt[210]*lu1^2*f40[t]* g22[t]*g42[t] - 4605027960383370*Sqrt[210]*lu1^3*f40[t]*g22[t]* g42[t] - 1919895661672336686*Sqrt[210]*lu1^4*f40[t]*g22[t]*g42[t] + 913187936113501386*Sqrt[210]*lu1^5*f40[t]*g22[t]*g42[t] + 812650283776034928978*Sqrt[210]*lu1^6*f40[t]*g22[t]*g42[t] + 1274634153773107925538*Sqrt[210]*lu1^7*f40[t]*g22[t]*g42[t] - 124017833824422162581580*Sqrt[210]*lu1^8*f40[t]*g22[t]*g42[t] - 429655638952772380669872*Sqrt[210]*lu1^9*f40[t]*g22[t]*g42[t] + 4592115144974952374124072*Sqrt[210]*lu1^10*f40[t]*g22[t]*g42[t] + 14700012782906189119004208*Sqrt[210]*lu1^11*f40[t]*g22[t]*g42[t] - 11507943827579670641139840*Sqrt[210]*lu1^12*f40[t]*g22[t]*g42[t] - 67567002338776838179900800*Sqrt[210]*lu1^13*f40[t]*g22[t]*g42[t] - 52369781922587299860144000*Sqrt[210]*lu1^14*f40[t]*g22[t]*g42[t] - 3381512327394781114080000*Sqrt[210]*lu1^15*f40[t]*g22[t]*g42[t] - 2375775609480*Sqrt[3]*f44[t]*g22[t]*g42[t] - 527986923904440*Sqrt[3]* lu1*f44[t]*g22[t]*g42[t] + 25892909876597400*Sqrt[3]*lu1^2*f44[t]* g22[t]*g42[t] + 1326773330169323400*Sqrt[3]*lu1^3*f44[t]*g22[t]* g42[t] - 38188649438993169480*Sqrt[3]*lu1^4*f44[t]*g22[t]*g42[t] - 492084644322209276520*Sqrt[3]*lu1^5*f44[t]*g22[t]*g42[t] + 10948126359148949956440*Sqrt[3]*lu1^6*f44[t]*g22[t]*g42[t] + 84996570419971258197240*Sqrt[3]*lu1^7*f44[t]*g22[t]*g42[t] - 988430314781204819706000*Sqrt[3]*lu1^8*f44[t]*g22[t]*g42[t] - 6860337340793963989959360*Sqrt[3]*lu1^9*f44[t]*g22[t]*g42[t] + 20318678047255003134416880*Sqrt[3]*lu1^10*f44[t]*g22[t]*g42[t] + 193099710668272835431935840*Sqrt[3]*lu1^11*f44[t]*g22[t]*g42[t] + 409385577339239714945047680*Sqrt[3]*lu1^12*f44[t]*g22[t]*g42[t] + 153426223558406710188076800*Sqrt[3]*lu1^13*f44[t]*g22[t]*g42[t] - 434966444362462852109088000*Sqrt[3]*lu1^14*f44[t]*g22[t]*g42[t] - 372316583323278657161280000*Sqrt[3]*lu1^15*f44[t]*g22[t]*g42[t] - 666132012000*Sqrt[3]*f44n[t]*g22n[t]*g42[t] - 248118987261600*Sqrt[3]* lu1*f44n[t]*g22n[t]*g42[t] + 7817724427378320*Sqrt[3]*lu1^2*f44n[t]* g22n[t]*g42[t] + 589222284667642080*Sqrt[3]*lu1^3*f44n[t]*g22n[t]* g42[t] - 7740083253852374880*Sqrt[3]*lu1^4*f44n[t]*g22n[t]*g42[t] - 98144591381781584640*Sqrt[3]*lu1^5*f44n[t]*g22n[t]*g42[t] + 80046559692579130560*Sqrt[3]*lu1^6*f44n[t]*g22n[t]*g42[t] + 2247258111558458980800*Sqrt[3]*lu1^7*f44n[t]*g22n[t]*g42[t] + 123895765114091195184960*Sqrt[3]*lu1^8*f44n[t]*g22n[t]*g42[t] + 518447934086450631812640*Sqrt[3]*lu1^9*f44n[t]*g22n[t]*g42[t] - 2851519519249076519996880*Sqrt[3]*lu1^10*f44n[t]*g22n[t]*g42[t] + 11367555029766534724900320*Sqrt[3]*lu1^11*f44n[t]*g22n[t]*g42[t] + 122577505312772630896513920*Sqrt[3]*lu1^12*f44n[t]*g22n[t]*g42[t] + 206424142231422713390956800*Sqrt[3]*lu1^13*f44n[t]*g22n[t]*g42[t] + 45809461454934180013920000*Sqrt[3]*lu1^14*f44n[t]*g22n[t]*g42[t] - 65536174319266974173760000*Sqrt[3]*lu1^15*f44n[t]*g22n[t]*g42[t] - 288375731415*Sqrt[70]*f42[t]*g40[t]*g42[t] - 690572865249*Sqrt[70]* lu1*f42[t]*g40[t]*g42[t] + 520773728159439*Sqrt[70]*lu1^2*f42[t]* g40[t]*g42[t] + 47289808315717119*Sqrt[70]*lu1^3*f42[t]*g40[t]* g42[t] - 860867585619811443*Sqrt[70]*lu1^4*f42[t]*g40[t]*g42[t] - 12703698238770041103*Sqrt[70]*lu1^5*f42[t]*g40[t]*g42[t] + 127305366835028760765*Sqrt[70]*lu1^6*f42[t]*g40[t]*g42[t] + 1282278256986325287717*Sqrt[70]*lu1^7*f42[t]*g40[t]*g42[t] - 346990671854579449242*Sqrt[70]*lu1^8*f42[t]*g40[t]*g42[t] - 15564816931169962398276*Sqrt[70]*lu1^9*f42[t]*g40[t]*g42[t] - 100080437976306527321736*Sqrt[70]*lu1^10*f42[t]*g40[t]*g42[t] - 217132272913146643640304*Sqrt[70]*lu1^11*f42[t]*g40[t]*g42[t] - 2955954553725091204177632*Sqrt[70]*lu1^12*f42[t]*g40[t]*g42[t] - 10511174913063987333435840*Sqrt[70]*lu1^13*f42[t]*g40[t]*g42[t] - 7544906568042132205123200*Sqrt[70]*lu1^14*f42[t]*g40[t]*g42[t] + 4278499128537540500160000*Sqrt[70]*lu1^15*f42[t]*g40[t]*g42[t] - 99595094265*Sqrt[70]*f40[t]*g42[t]^2 + 2811415170465*Sqrt[70]*lu1* f40[t]*g42[t]^2 + 193274878836465*Sqrt[70]*lu1^2*f40[t]*g42[t]^2 + 4904726008540545*Sqrt[70]*lu1^3*f40[t]*g42[t]^2 - 242772489709753005*Sqrt[70]*lu1^4*f40[t]*g42[t]^2 - 6717660937843511025*Sqrt[70]*lu1^5*f40[t]*g42[t]^2 + 57766772945853494595*Sqrt[70]*lu1^6*f40[t]*g42[t]^2 + 1196328358949959499355*Sqrt[70]*lu1^7*f40[t]*g42[t]^2 + 6091210553785299169290*Sqrt[70]*lu1^8*f40[t]*g42[t]^2 + 1957484931712670155140*Sqrt[70]*lu1^9*f40[t]*g42[t]^2 - 528066188263375310195640*Sqrt[70]*lu1^10*f40[t]*g42[t]^2 - 1370154510600765111490320*Sqrt[70]*lu1^11*f40[t]*g42[t]^2 + 3990546736679028548498400*Sqrt[70]*lu1^12*f40[t]*g42[t]^2 + 16536959310606577729560000*Sqrt[70]*lu1^13*f40[t]*g42[t]^2 + 13025456013937008796560000*Sqrt[70]*lu1^14*f40[t]*g42[t]^2 - 2764121601858093892800000*Sqrt[70]*lu1^15*f40[t]*g42[t]^2 - 3277214316810*f44[t]*g42[t]^2 + 847796096227626*lu1*f44[t]*g42[t]^2 - 17867687497332246*lu1^2*f44[t]*g42[t]^2 - 1539282005321016726*lu1^3* f44[t]*g42[t]^2 + 25777942502168729502*lu1^4*f44[t]*g42[t]^2 + 605211183024975822582*lu1^5*f44[t]*g42[t]^2 - 5495818353608784319650* lu1^6*f44[t]*g42[t]^2 - 97565409717602597691858*lu1^7*f44[t]* g42[t]^2 + 74067367579773931555668*lu1^8*f44[t]*g42[t]^2 + 5098711158970515754361064*lu1^9*f44[t]*g42[t]^2 + 17987410403220971493227664*lu1^10*f44[t]*g42[t]^2 - 89937349088044470771425184*lu1^11*f44[t]*g42[t]^2 - 443612336759361812578761792*lu1^12*f44[t]*g42[t]^2 - 428373120439736159951975040*lu1^13*f44[t]*g42[t]^2 + 203573232647209187569900800*lu1^14*f44[t]*g42[t]^2 + 291100167561153440568960000*lu1^15*f44[t]*g42[t]^2 + 404073186660*Sqrt[210]*f22n[t]*f40[t]*g42n[t] - 402394965547068*Sqrt[210]*lu1*f22n[t]*f40[t]*g42n[t] + 10390488336956520*Sqrt[210]*lu1^2*f22n[t]*f40[t]*g42n[t] + 989045077001088744*Sqrt[210]*lu1^3*f22n[t]*f40[t]*g42n[t] - 17954739561012302568*Sqrt[210]*lu1^4*f22n[t]*f40[t]*g42n[t] - 374978209350562948416*Sqrt[210]*lu1^5*f22n[t]*f40[t]*g42n[t] + 3366387605491666974192*Sqrt[210]*lu1^6*f22n[t]*f40[t]*g42n[t] + 54267503314649797731000*Sqrt[210]*lu1^7*f22n[t]*f40[t]*g42n[t] - 73302244535113784919612*Sqrt[210]*lu1^8*f22n[t]*f40[t]*g42n[t] - 2002038319784863213306596*Sqrt[210]*lu1^9*f22n[t]*f40[t]*g42n[t] + 897891480699464279601768*Sqrt[210]*lu1^10*f22n[t]*f40[t]*g42n[t] + 14515059081062593156786176*Sqrt[210]*lu1^11*f22n[t]*f40[t]*g42n[t] - 45604289893410962417308800*Sqrt[210]*lu1^12*f22n[t]*f40[t]*g42n[t] - 203764798536926275955841600*Sqrt[210]*lu1^13*f22n[t]*f40[t]*g42n[t] - 197936119269301955343984000*Sqrt[210]*lu1^14*f22n[t]*f40[t]*g42n[t] - 44048663531060509863360000*Sqrt[210]*lu1^15*f22n[t]*f40[t]*g42n[t] - 2738837093220*Sqrt[70]*f40[t]*f42n[t]*g42n[t] - 820096340441004*Sqrt[70]*lu1*f40[t]*f42n[t]*g42n[t] + 12048106164753024*Sqrt[70]*lu1^2*f40[t]*f42n[t]*g42n[t] + 2089559608754728824*Sqrt[70]*lu1^3*f40[t]*f42n[t]*g42n[t] - 1653594865226003088*Sqrt[70]*lu1^4*f40[t]*f42n[t]*g42n[t] + 798989232669367089312*Sqrt[70]*lu1^5*f40[t]*f42n[t]*g42n[t] - 302658484833196505640*Sqrt[70]*lu1^6*f40[t]*f42n[t]*g42n[t] - 252463931881911578635128*Sqrt[70]*lu1^7*f40[t]*f42n[t]*g42n[t] - 1248422463270082214776332*Sqrt[70]*lu1^8*f40[t]*f42n[t]*g42n[t] + 7817439515086076612091084*Sqrt[70]*lu1^9*f40[t]*f42n[t]*g42n[t] + 46900796007235186784292264*Sqrt[70]*lu1^10*f40[t]*f42n[t]*g42n[t] + 66990409577742256594678656*Sqrt[70]*lu1^11*f40[t]*f42n[t]*g42n[t] - 21914446395562528427574912*Sqrt[70]*lu1^12*f40[t]*f42n[t]*g42n[t] - 145263376838697302383007040*Sqrt[70]*lu1^13*f40[t]*f42n[t]*g42n[t] - 125216961512679125332387200*Sqrt[70]*lu1^14*f40[t]*f42n[t]*g42n[t] - 12185465021861000667840000*Sqrt[70]*lu1^15*f40[t]*f42n[t]*g42n[t] + 46704665629440*Sqrt[3]*f22n[t]*f44[t]*g42n[t] + 7646219351217720*Sqrt[3]*lu1*f22n[t]*f44[t]*g42n[t] - 344138589837085680*Sqrt[3]*lu1^2*f22n[t]*f44[t]*g42n[t] - 22289138635325955120*Sqrt[3]*lu1^3*f22n[t]*f44[t]*g42n[t] + 382342801248393454560*Sqrt[3]*lu1^4*f22n[t]*f44[t]*g42n[t] + 12264505196056632748320*Sqrt[3]*lu1^5*f22n[t]*f44[t]*g42n[t] - 20960028133740890681760*Sqrt[3]*lu1^6*f22n[t]*f44[t]*g42n[t] - 1135694658599832495375120*Sqrt[3]*lu1^7*f22n[t]*f44[t]*g42n[t] - 4218771804480997523454240*Sqrt[3]*lu1^8*f22n[t]*f44[t]*g42n[t] + 47818272696898460131513320*Sqrt[3]*lu1^9*f22n[t]*f44[t]*g42n[t] + 119209406008295893065856080*Sqrt[3]*lu1^10*f22n[t]*f44[t]*g42n[t] - 328601462321145704424988800*Sqrt[3]*lu1^11*f22n[t]*f44[t]*g42n[t] - 1130647883942817458115381120*Sqrt[3]*lu1^12*f22n[t]*f44[t]*g42n[t] - 427777018266494683794134400*Sqrt[3]*lu1^13*f22n[t]*f44[t]*g42n[t] + 1189661048358389782619808000*Sqrt[3]*lu1^14*f22n[t]*f44[t]*g42n[t] + 912568348172770214889600000*Sqrt[3]*lu1^15*f22n[t]*f44[t]*g42n[t] + 197513714619144*f42n[t]*f44[t]*g42n[t] - 37980622059996168*lu1* f42n[t]*f44[t]*g42n[t] + 90115966606921920*lu1^2*f42n[t]*f44[t]* g42n[t] + 81497702704935745872*lu1^3*f42n[t]*f44[t]*g42n[t] + 152719623664420811040*lu1^4*f42n[t]*f44[t]*g42n[t] - 23524051988459449885248*lu1^5*f42n[t]*f44[t]*g42n[t] - 368509636562698309380912*lu1^6*f42n[t]*f44[t]*g42n[t] + 1558802225513254747387824*lu1^7*f42n[t]*f44[t]*g42n[t] + 28452249681592504795020504*lu1^8*f42n[t]*f44[t]*g42n[t] - 163894871475596861854180920*lu1^9*f42n[t]*f44[t]*g42n[t] - 286931354247266211006732432*lu1^10*f42n[t]*f44[t]*g42n[t] + 2560592850570895437227766528*lu1^11*f42n[t]*f44[t]*g42n[t] + 6480139379976024243078866688*lu1^12*f42n[t]*f44[t]*g42n[t] + 3224082351217198347268882560*lu1^13*f42n[t]*f44[t]*g42n[t] - 1580290913353585169234131200*lu1^14*f42n[t]*f44[t]*g42n[t] - 799586755372263038866560000*lu1^15*f42n[t]*f44[t]*g42n[t] + 36625635794664*f42[t]*f44n[t]*g42n[t] - 5900118931456344*lu1*f42[t]* f44n[t]*g42n[t] - 154228033888496064*lu1^2*f42[t]*f44n[t]*g42n[t] + 26381475924665290128*lu1^3*f42[t]*f44n[t]*g42n[t] + 352631462782453380288*lu1^4*f42[t]*f44n[t]*g42n[t] - 29014443127098282238560*lu1^5*f42[t]*f44n[t]*g42n[t] - 413059528532460029390352*lu1^6*f42[t]*f44n[t]*g42n[t] + 2750939280219544790915952*lu1^7*f42[t]*f44n[t]*g42n[t] + 45222738412134060187275096*lu1^8*f42[t]*f44n[t]*g42n[t] - 116434701614368885743914184*lu1^9*f42[t]*f44n[t]*g42n[t] - 865927258834587113490114096*lu1^10*f42[t]*f44n[t]*g42n[t] - 315924755714886606474912768*lu1^11*f42[t]*f44n[t]*g42n[t] + 2426800633552767333217789440*lu1^12*f42[t]*f44n[t]*g42n[t] + 2015397383610826277816342400*lu1^13*f42[t]*f44n[t]*g42n[t] - 1113249625711996441263840000*lu1^14*f42[t]*f44n[t]*g42n[t] - 1173631668081632397429120000*lu1^15*f42[t]*f44n[t]*g42n[t] + 78456055275*Sqrt[42]*f22n[t]*g20[t]*g42n[t] - 19923986729205*Sqrt[42]* lu1*f22n[t]*g20[t]*g42n[t] + 406063463070915*Sqrt[42]*lu1^2*f22n[t]* g20[t]*g42n[t] + 49291563071197395*Sqrt[42]*lu1^3*f22n[t]*g20[t]* g42n[t] - 1093968908003281635*Sqrt[42]*lu1^4*f22n[t]*g20[t]* g42n[t] - 23297412655200487635*Sqrt[42]*lu1^5*f22n[t]*g20[t]* g42n[t] + 412422848379226796865*Sqrt[42]*lu1^6*f22n[t]*g20[t]* g42n[t] + 3713330631985190831745*Sqrt[42]*lu1^7*f22n[t]*g20[t]* g42n[t] - 39492742936781466085260*Sqrt[42]*lu1^8*f22n[t]*g20[t]* g42n[t] - 238290921899666570960220*Sqrt[42]*lu1^9*f22n[t]*g20[t]* g42n[t] + 974272106639498051374080*Sqrt[42]*lu1^10*f22n[t]*g20[t]* g42n[t] + 7026390312195419306091600*Sqrt[42]*lu1^11*f22n[t]*g20[t]* g42n[t] + 6396981587363914996438080*Sqrt[42]*lu1^12*f22n[t]*g20[t]* g42n[t] - 19466121344250752248584000*Sqrt[42]*lu1^13*f22n[t]*g20[t]* g42n[t] - 39724993353913010908128000*Sqrt[42]*lu1^14*f22n[t]*g20[t]* g42n[t] - 19908917810936163172800000*Sqrt[42]*lu1^15*f22n[t]*g20[t]* g42n[t] + 645690233565*Sqrt[14]*f42n[t]*g20[t]*g42n[t] - 4056548205645*Sqrt[14]*lu1*f42n[t]*g20[t]*g42n[t] - 2854210047161265*Sqrt[14]*lu1^2*f42n[t]*g20[t]*g42n[t] - 23651619507786465*Sqrt[14]*lu1^3*f42n[t]*g20[t]*g42n[t] + 4114897030126984725*Sqrt[14]*lu1^4*f42n[t]*g20[t]*g42n[t] + 69377245208177026185*Sqrt[14]*lu1^5*f42n[t]*g20[t]*g42n[t] - 1716936398465607733635*Sqrt[14]*lu1^6*f42n[t]*g20[t]*g42n[t] - 14980497190055665774155*Sqrt[14]*lu1^7*f42n[t]*g20[t]*g42n[t] + 142929614340321948431370*Sqrt[14]*lu1^8*f42n[t]*g20[t]*g42n[t] + 713997433667044013713200*Sqrt[14]*lu1^9*f42n[t]*g20[t]*g42n[t] - 4260272806916964114699240*Sqrt[14]*lu1^10*f42n[t]*g20[t]*g42n[t] - 21741425771817387687517440*Sqrt[14]*lu1^11*f42n[t]*g20[t]*g42n[t] + 9539953379301073136335200*Sqrt[14]*lu1^12*f42n[t]*g20[t]*g42n[t] + 123252292051727275074643200*Sqrt[14]*lu1^13*f42n[t]*g20[t]*g42n[t] + 110378512783239321754224000*Sqrt[14]*lu1^14*f42n[t]*g20[t]*g42n[t] - 4368374195955717336480000*Sqrt[14]*lu1^15*f42n[t]*g20[t]*g42n[t] + 666132012000*Sqrt[3]*f44n[t]*g22[t]*g42n[t] + 248118987261600*Sqrt[3]* lu1*f44n[t]*g22[t]*g42n[t] - 7817724427378320*Sqrt[3]*lu1^2*f44n[t]* g22[t]*g42n[t] - 589222284667642080*Sqrt[3]*lu1^3*f44n[t]*g22[t]* g42n[t] + 7740083253852374880*Sqrt[3]*lu1^4*f44n[t]*g22[t]*g42n[t] + 98144591381781584640*Sqrt[3]*lu1^5*f44n[t]*g22[t]*g42n[t] - 80046559692579130560*Sqrt[3]*lu1^6*f44n[t]*g22[t]*g42n[t] - 2247258111558458980800*Sqrt[3]*lu1^7*f44n[t]*g22[t]*g42n[t] - 123895765114091195184960*Sqrt[3]*lu1^8*f44n[t]*g22[t]*g42n[t] - 518447934086450631812640*Sqrt[3]*lu1^9*f44n[t]*g22[t]*g42n[t] + 2851519519249076519996880*Sqrt[3]*lu1^10*f44n[t]*g22[t]*g42n[t] - 11367555029766534724900320*Sqrt[3]*lu1^11*f44n[t]*g22[t]*g42n[t] - 122577505312772630896513920*Sqrt[3]*lu1^12*f44n[t]*g22[t]*g42n[t] - 206424142231422713390956800*Sqrt[3]*lu1^13*f44n[t]*g22[t]*g42n[t] - 45809461454934180013920000*Sqrt[3]*lu1^14*f44n[t]*g22[t]*g42n[t] + 65536174319266974173760000*Sqrt[3]*lu1^15*f44n[t]*g22[t]*g42n[t] + 374819551470*Sqrt[210]*f40[t]*g22n[t]*g42n[t] - 3362449765662*Sqrt[210]*lu1*f40[t]*g22n[t]*g42n[t] - 1562348622091374*Sqrt[210]*lu1^2*f40[t]*g22n[t]*g42n[t] + 4605027960383370*Sqrt[210]*lu1^3*f40[t]*g22n[t]*g42n[t] + 1919895661672336686*Sqrt[210]*lu1^4*f40[t]*g22n[t]*g42n[t] - 913187936113501386*Sqrt[210]*lu1^5*f40[t]*g22n[t]*g42n[t] - 812650283776034928978*Sqrt[210]*lu1^6*f40[t]*g22n[t]*g42n[t] - 1274634153773107925538*Sqrt[210]*lu1^7*f40[t]*g22n[t]*g42n[t] + 124017833824422162581580*Sqrt[210]*lu1^8*f40[t]*g22n[t]*g42n[t] + 429655638952772380669872*Sqrt[210]*lu1^9*f40[t]*g22n[t]*g42n[t] - 4592115144974952374124072*Sqrt[210]*lu1^10*f40[t]*g22n[t]*g42n[t] - 14700012782906189119004208*Sqrt[210]*lu1^11*f40[t]*g22n[t]*g42n[t] + 11507943827579670641139840*Sqrt[210]*lu1^12*f40[t]*g22n[t]*g42n[t] + 67567002338776838179900800*Sqrt[210]*lu1^13*f40[t]*g22n[t]*g42n[t] + 52369781922587299860144000*Sqrt[210]*lu1^14*f40[t]*g22n[t]*g42n[t] + 3381512327394781114080000*Sqrt[210]*lu1^15*f40[t]*g22n[t]*g42n[t] - 2375775609480*Sqrt[3]*f44[t]*g22n[t]*g42n[t] - 527986923904440*Sqrt[3]*lu1*f44[t]*g22n[t]*g42n[t] + 25892909876597400*Sqrt[3]*lu1^2*f44[t]*g22n[t]*g42n[t] + 1326773330169323400*Sqrt[3]*lu1^3*f44[t]*g22n[t]*g42n[t] - 38188649438993169480*Sqrt[3]*lu1^4*f44[t]*g22n[t]*g42n[t] - 492084644322209276520*Sqrt[3]*lu1^5*f44[t]*g22n[t]*g42n[t] + 10948126359148949956440*Sqrt[3]*lu1^6*f44[t]*g22n[t]*g42n[t] + 84996570419971258197240*Sqrt[3]*lu1^7*f44[t]*g22n[t]*g42n[t] - 988430314781204819706000*Sqrt[3]*lu1^8*f44[t]*g22n[t]*g42n[t] - 6860337340793963989959360*Sqrt[3]*lu1^9*f44[t]*g22n[t]*g42n[t] + 20318678047255003134416880*Sqrt[3]*lu1^10*f44[t]*g22n[t]*g42n[t] + 193099710668272835431935840*Sqrt[3]*lu1^11*f44[t]*g22n[t]*g42n[t] + 409385577339239714945047680*Sqrt[3]*lu1^12*f44[t]*g22n[t]*g42n[t] + 153426223558406710188076800*Sqrt[3]*lu1^13*f44[t]*g22n[t]*g42n[t] - 434966444362462852109088000*Sqrt[3]*lu1^14*f44[t]*g22n[t]*g42n[t] - 372316583323278657161280000*Sqrt[3]*lu1^15*f44[t]*g22n[t]*g42n[t] - 104420381715*Sqrt[210]*f22n[t]*g40[t]*g42n[t] + 14070748753737*Sqrt[210]*lu1*f22n[t]*g40[t]*g42n[t] - 81931391843535*Sqrt[210]*lu1^2*f22n[t]*g40[t]*g42n[t] - 33258235454276391*Sqrt[210]*lu1^3*f22n[t]*g40[t]*g42n[t] + 516997157669699967*Sqrt[210]*lu1^4*f22n[t]*g40[t]*g42n[t] + 13906613336396040039*Sqrt[210]*lu1^5*f22n[t]*g40[t]*g42n[t] - 178240906717578938493*Sqrt[210]*lu1^6*f22n[t]*g40[t]*g42n[t] - 1973051413783882058445*Sqrt[210]*lu1^7*f22n[t]*g40[t]*g42n[t] + 13497961033819156171368*Sqrt[210]*lu1^8*f22n[t]*g40[t]*g42n[t] + 91422323118290045993124*Sqrt[210]*lu1^9*f22n[t]*g40[t]*g42n[t] - 229703458661870100907272*Sqrt[210]*lu1^10*f22n[t]*g40[t]*g42n[t] - 1836486566245182081975264*Sqrt[210]*lu1^11*f22n[t]*g40[t]*g42n[t] - 818450651456239314102720*Sqrt[210]*lu1^12*f22n[t]*g40[t]*g42n[t] + 9085626217138570777454400*Sqrt[210]*lu1^13*f22n[t]*g40[t]*g42n[t] + 15672948080533477218576000*Sqrt[210]*lu1^14*f22n[t]*g40[t]*g42n[t] + 6766566372769491419040000*Sqrt[210]*lu1^15*f22n[t]*g40[t]*g42n[t] + 288375731415*Sqrt[70]*f42n[t]*g40[t]*g42n[t] + 690572865249*Sqrt[70]* lu1*f42n[t]*g40[t]*g42n[t] - 520773728159439*Sqrt[70]*lu1^2*f42n[t]* g40[t]*g42n[t] - 47289808315717119*Sqrt[70]*lu1^3*f42n[t]*g40[t]* g42n[t] + 860867585619811443*Sqrt[70]*lu1^4*f42n[t]*g40[t]*g42n[t] + 12703698238770041103*Sqrt[70]*lu1^5*f42n[t]*g40[t]*g42n[t] - 127305366835028760765*Sqrt[70]*lu1^6*f42n[t]*g40[t]*g42n[t] - 1282278256986325287717*Sqrt[70]*lu1^7*f42n[t]*g40[t]*g42n[t] + 346990671854579449242*Sqrt[70]*lu1^8*f42n[t]*g40[t]*g42n[t] + 15564816931169962398276*Sqrt[70]*lu1^9*f42n[t]*g40[t]*g42n[t] + 100080437976306527321736*Sqrt[70]*lu1^10*f42n[t]*g40[t]*g42n[t] + 217132272913146643640304*Sqrt[70]*lu1^11*f42n[t]*g40[t]*g42n[t] + 2955954553725091204177632*Sqrt[70]*lu1^12*f42n[t]*g40[t]*g42n[t] + 10511174913063987333435840*Sqrt[70]*lu1^13*f42n[t]*g40[t]*g42n[t] + 7544906568042132205123200*Sqrt[70]*lu1^14*f42n[t]*g40[t]*g42n[t] - 4278499128537540500160000*Sqrt[70]*lu1^15*f42n[t]*g40[t]*g42n[t] + 99595094265*Sqrt[70]*f40[t]*g42n[t]^2 - 2811415170465*Sqrt[70]*lu1* f40[t]*g42n[t]^2 - 193274878836465*Sqrt[70]*lu1^2*f40[t]*g42n[t]^2 - 4904726008540545*Sqrt[70]*lu1^3*f40[t]*g42n[t]^2 + 242772489709753005*Sqrt[70]*lu1^4*f40[t]*g42n[t]^2 + 6717660937843511025*Sqrt[70]*lu1^5*f40[t]*g42n[t]^2 - 57766772945853494595*Sqrt[70]*lu1^6*f40[t]*g42n[t]^2 - 1196328358949959499355*Sqrt[70]*lu1^7*f40[t]*g42n[t]^2 - 6091210553785299169290*Sqrt[70]*lu1^8*f40[t]*g42n[t]^2 - 1957484931712670155140*Sqrt[70]*lu1^9*f40[t]*g42n[t]^2 + 528066188263375310195640*Sqrt[70]*lu1^10*f40[t]*g42n[t]^2 + 1370154510600765111490320*Sqrt[70]*lu1^11*f40[t]*g42n[t]^2 - 3990546736679028548498400*Sqrt[70]*lu1^12*f40[t]*g42n[t]^2 - 16536959310606577729560000*Sqrt[70]*lu1^13*f40[t]*g42n[t]^2 - 13025456013937008796560000*Sqrt[70]*lu1^14*f40[t]*g42n[t]^2 + 2764121601858093892800000*Sqrt[70]*lu1^15*f40[t]*g42n[t]^2 - 3277214316810*f44[t]*g42n[t]^2 + 847796096227626*lu1*f44[t]* g42n[t]^2 - 17867687497332246*lu1^2*f44[t]*g42n[t]^2 - 1539282005321016726*lu1^3*f44[t]*g42n[t]^2 + 25777942502168729502* lu1^4*f44[t]*g42n[t]^2 + 605211183024975822582*lu1^5*f44[t]* g42n[t]^2 - 5495818353608784319650*lu1^6*f44[t]*g42n[t]^2 - 97565409717602597691858*lu1^7*f44[t]*g42n[t]^2 + 74067367579773931555668*lu1^8*f44[t]*g42n[t]^2 + 5098711158970515754361064*lu1^9*f44[t]*g42n[t]^2 + 17987410403220971493227664*lu1^10*f44[t]*g42n[t]^2 - 89937349088044470771425184*lu1^11*f44[t]*g42n[t]^2 - 443612336759361812578761792*lu1^12*f44[t]*g42n[t]^2 - 428373120439736159951975040*lu1^13*f44[t]*g42n[t]^2 + 203573232647209187569900800*lu1^14*f44[t]*g42n[t]^2 + 291100167561153440568960000*lu1^15*f44[t]*g42n[t]^2 - 5410894097700*f22n[t]^2*g44[t] - 2430228570800940*lu1*f22n[t]^2* g44[t] + 107503164410782140*lu1^2*f22n[t]^2*g44[t] + 5619676110615223020*lu1^3*f22n[t]^2*g44[t] - 171297098600906367180* lu1^4*f22n[t]^2*g44[t] - 1471990506422942354940*lu1^5*f22n[t]^2* g44[t] + 36987665147371765603140*lu1^6*f22n[t]^2*g44[t] + 61889137282303324926660*lu1^7*f22n[t]^2*g44[t] - 2283230205951756716796960*lu1^8*f22n[t]^2*g44[t] - 2059440157370075862705960*lu1^9*f22n[t]^2*g44[t] + 70032566749680079495051920*lu1^10*f22n[t]^2*g44[t] + 139197646192761171321764640*lu1^11*f22n[t]^2*g44[t] - 730964523851695285289504640*lu1^12*f22n[t]^2*g44[t] - 2334156426089731901558409600*lu1^13*f22n[t]^2*g44[t] - 2192091978332321868976992000*lu1^14*f22n[t]^2*g44[t] - 656464669798088851277760000*lu1^15*f22n[t]^2*g44[t] - 140404747814730*f40[t]^2*g44[t] - 18258869352881430*lu1*f40[t]^2* g44[t] + 798291974224296090*lu1^2*f40[t]^2*g44[t] + 47638281259079012250*lu1^3*f40[t]^2*g44[t] - 548815091916121840530* lu1^4*f40[t]^2*g44[t] - 12930455643703907978970*lu1^5*f40[t]^2* g44[t] - 47023182435497191543410*lu1^6*f40[t]^2*g44[t] - 146325510657512358774210*lu1^7*f40[t]^2*g44[t] + 8190305341117123654762500*lu1^8*f40[t]^2*g44[t] + 46169585783860214553722040*lu1^9*f40[t]^2*g44[t] - 186117531609923835208440720*lu1^10*f40[t]^2*g44[t] - 1003338380860874635415748000*lu1^11*f40[t]^2*g44[t] - 848236193653928348769353280*lu1^12*f40[t]^2*g44[t] + 755241865747206545426678400*lu1^13*f40[t]^2*g44[t] + 880129364394329919751392000*lu1^14*f40[t]^2*g44[t] + 169872374673381949027200000*lu1^15*f40[t]^2*g44[t] - 294103690754076*f42[t]^2*g44[t] - 29754689401236996*lu1*f42[t]^2* g44[t] + 1629614844715661748*lu1^2*f42[t]^2*g44[t] + 80300548238729377860*lu1^3*f42[t]^2*g44[t] - 1226763902695170022596* lu1^4*f42[t]^2*g44[t] - 35464493189305617339924*lu1^5*f42[t]^2* g44[t] - 87251651510181771560052*lu1^6*f42[t]^2*g44[t] + 1213428493219712762258028*lu1^7*f42[t]^2*g44[t] + 22762085566767289214604720*lu1^8*f42[t]^2*g44[t] + 54986522883454123725375528*lu1^9*f42[t]^2*g44[t] - 597690652388865141063843984*lu1^10*f42[t]^2*g44[t] - 2464564966961746876130164800*lu1^11*f42[t]^2*g44[t] - 1964640402007215577523415936*lu1^12*f42[t]^2*g44[t] + 2248697797491779097053412480*lu1^13*f42[t]^2*g44[t] + 2895753638991901865513414400*lu1^14*f42[t]^2*g44[t] + 459118560246910523890560000*lu1^15*f42[t]^2*g44[t] + 63715511910960*Sqrt[3]*f22n[t]*f42n[t]*g44[t] + 7700981402303280*Sqrt[3]*lu1*f22n[t]*f42n[t]*g44[t] - 435172715880608160*Sqrt[3]*lu1^2*f22n[t]*f42n[t]*g44[t] - 20746606204700812800*Sqrt[3]*lu1^3*f22n[t]*f42n[t]*g44[t] + 493755113622238409760*Sqrt[3]*lu1^4*f22n[t]*f42n[t]*g44[t] + 8270469917189370989280*Sqrt[3]*lu1^5*f22n[t]*f42n[t]*g44[t] - 62815798521481381434240*Sqrt[3]*lu1^6*f22n[t]*f42n[t]*g44[t] - 540272270123754631182720*Sqrt[3]*lu1^7*f22n[t]*f42n[t]*g44[t] + 477374621119964817303600*Sqrt[3]*lu1^8*f22n[t]*f42n[t]*g44[t] + 13647846920307185423575920*Sqrt[3]*lu1^9*f22n[t]*f42n[t]*g44[t] + 18586551227508155976258720*Sqrt[3]*lu1^10*f22n[t]*f42n[t]*g44[t] - 60010698414005452484716800*Sqrt[3]*lu1^11*f22n[t]*f42n[t]*g44[t] - 185383130916324356451072000*Sqrt[3]*lu1^12*f22n[t]*f42n[t]*g44[t] + 54719643911617303960723200*Sqrt[3]*lu1^13*f22n[t]*f42n[t]*g44[t] + 404572079626606676226624000*Sqrt[3]*lu1^14*f22n[t]*f42n[t]*g44[t] + 202655185023971608830720000*Sqrt[3]*lu1^15*f22n[t]*f42n[t]*g44[t] - 294103690754076*f42n[t]^2*g44[t] - 29754689401236996*lu1*f42n[t]^2* g44[t] + 1629614844715661748*lu1^2*f42n[t]^2*g44[t] + 80300548238729377860*lu1^3*f42n[t]^2*g44[t] - 1226763902695170022596* lu1^4*f42n[t]^2*g44[t] - 35464493189305617339924*lu1^5*f42n[t]^2* g44[t] - 87251651510181771560052*lu1^6*f42n[t]^2*g44[t] + 1213428493219712762258028*lu1^7*f42n[t]^2*g44[t] + 22762085566767289214604720*lu1^8*f42n[t]^2*g44[t] + 54986522883454123725375528*lu1^9*f42n[t]^2*g44[t] - 597690652388865141063843984*lu1^10*f42n[t]^2*g44[t] - 2464564966961746876130164800*lu1^11*f42n[t]^2*g44[t] - 1964640402007215577523415936*lu1^12*f42n[t]^2*g44[t] + 2248697797491779097053412480*lu1^13*f42n[t]^2*g44[t] + 2895753638991901865513414400*lu1^14*f42n[t]^2*g44[t] + 459118560246910523890560000*lu1^15*f42n[t]^2*g44[t] + 161599596013548*f44[t]^2*g44[t] - 44143814152992204*lu1*f44[t]^2* g44[t] + 711208898454524148*lu1^2*f44[t]^2*g44[t] + 90409149727977339252*lu1^3*f44[t]^2*g44[t] - 312624044150297287716* lu1^4*f44[t]^2*g44[t] - 66899881955131756567092*lu1^5*f44[t]^2* g44[t] - 468548760938619383180004*lu1^6*f44[t]^2*g44[t] + 12914308377793090615072572*lu1^7*f44[t]^2*g44[t] + 106696533254600339518569864*lu1^8*f44[t]^2*g44[t] - 469365871226836574064838512*lu1^9*f44[t]^2*g44[t] - 3040399781297507073736222176*lu1^10*f44[t]^2*g44[t] - 2303859760632821374036560192*lu1^11*f44[t]^2*g44[t] + 7390350299154980055409241472*lu1^12*f44[t]^2*g44[t] + 11950146197430958580132509440*lu1^13*f44[t]^2*g44[t] + 4403175480509645339493235200*lu1^14*f44[t]^2*g44[t] - 84354698095815597408000000*lu1^15*f44[t]^2*g44[t] - 432800027253972*f44n[t]^2*g44[t] - 5319536135529420*lu1*f44n[t]^2* g44[t] + 2149612592164890804*lu1^2*f44n[t]^2*g44[t] + 2112109899490326708*lu1^3*f44n[t]^2*g44[t] - 2334861536924298503268* lu1^4*f44n[t]^2*g44[t] + 1210880197444969158156*lu1^5*f44n[t]^2* g44[t] + 756426733112066287748316*lu1^6*f44n[t]^2*g44[t] - 2126541554513005780749060*lu1^7*f44n[t]^2*g44[t] - 60190909594422472782618744*lu1^8*f44n[t]^2*g44[t] + 248760748866863027446515024*lu1^9*f44n[t]^2*g44[t] + 895537860507451750628891040*lu1^10*f44n[t]^2*g44[t] - 2581136248526372084192678208*lu1^11*f44n[t]^2*g44[t] - 7827280546236077149237155456*lu1^12*f44n[t]^2*g44[t] - 923246288898950262220504320*lu1^13*f44n[t]^2*g44[t] + 7360045980240615656304038400*lu1^14*f44n[t]^2*g44[t] + 3050772322239912523357440000*lu1^15*f44n[t]^2*g44[t] - 1894156901910*Sqrt[5]*f40[t]*g20[t]*g44[t] - 115188578290422*Sqrt[5]* lu1*f40[t]*g20[t]*g44[t] + 10999139001582186*Sqrt[5]*lu1^2*f40[t]* g20[t]*g44[t] + 317283099563782170*Sqrt[5]*lu1^3*f40[t]*g20[t]* g44[t] - 13723078679892597834*Sqrt[5]*lu1^4*f40[t]*g20[t]*g44[t] - 131987223659655339066*Sqrt[5]*lu1^5*f40[t]*g20[t]*g44[t] + 3955195502565201676782*Sqrt[5]*lu1^6*f40[t]*g20[t]*g44[t] + 20518530724164651909822*Sqrt[5]*lu1^7*f40[t]*g20[t]*g44[t] - 347641093139603241789720*Sqrt[5]*lu1^8*f40[t]*g20[t]*g44[t] - 1081271784903874469018568*Sqrt[5]*lu1^9*f40[t]*g20[t]*g44[t] + 13015249668641151069753888*Sqrt[5]*lu1^10*f40[t]*g20[t]*g44[t] + 62894997580164935374923552*Sqrt[5]*lu1^11*f40[t]*g20[t]*g44[t] + 60956722431631133912488320*Sqrt[5]*lu1^12*f40[t]*g20[t]*g44[t] - 101531830509086286865046400*Sqrt[5]*lu1^13*f40[t]*g20[t]*g44[t] - 185677452383672540438784000*Sqrt[5]*lu1^14*f40[t]*g20[t]*g44[t] - 71234335787175398073600000*Sqrt[5]*lu1^15*f40[t]*g20[t]*g44[t] - 5606564737410*Sqrt[3]*f42[t]*g22[t]*g44[t] - 391310322325650*Sqrt[3]* lu1*f42[t]*g22[t]*g44[t] + 34188442632432270*Sqrt[3]*lu1^2*f42[t]* g22[t]*g44[t] + 1043593592867943390*Sqrt[3]*lu1^3*f42[t]*g22[t]* g44[t] - 43594199318631678990*Sqrt[3]*lu1^4*f42[t]*g22[t]*g44[t] - 391338959138698167870*Sqrt[3]*lu1^5*f42[t]*g22[t]*g44[t] + 13393821359916167463930*Sqrt[3]*lu1^6*f42[t]*g22[t]*g44[t] + 69269850179731254758250*Sqrt[3]*lu1^7*f42[t]*g22[t]*g44[t] - 1432570457456649304586520*Sqrt[3]*lu1^8*f42[t]*g22[t]*g44[t] - 6333415244089823534725080*Sqrt[3]*lu1^9*f42[t]*g22[t]*g44[t] + 47506940020397765098682400*Sqrt[3]*lu1^10*f42[t]*g22[t]*g44[t] + 231524617066343962775537760*Sqrt[3]*lu1^11*f42[t]*g22[t]*g44[t] + 163533153412297000443995520*Sqrt[3]*lu1^12*f42[t]*g22[t]*g44[t] - 475376554464832337330832000*Sqrt[3]*lu1^13*f42[t]*g22[t]*g44[t] - 706995129934972247031936000*Sqrt[3]*lu1^14*f42[t]*g22[t]*g44[t] - 219339122512039515498240000*Sqrt[3]*lu1^15*f42[t]*g22[t]*g44[t] + 53083804410*f22n[t]*g22n[t]*g44[t] + 347540118577470*lu1*f22n[t]* g22n[t]*g44[t] - 14382535955066370*lu1^2*f22n[t]*g22n[t]*g44[t] - 779720429549478690*lu1^3*f22n[t]*g22n[t]*g44[t] + 28045974337516199610*lu1^4*f22n[t]*g22n[t]*g44[t] + 210092390426884659330*lu1^5*f22n[t]*g22n[t]*g44[t] - 9733386073255570250070*lu1^6*f22n[t]*g22n[t]*g44[t] - 22886060599072027809270*lu1^7*f22n[t]*g22n[t]*g44[t] + 1232329810398991150375620*lu1^8*f22n[t]*g22n[t]*g44[t] + 1994311613124736781268120*lu1^9*f22n[t]*g22n[t]*g44[t] - 56434517812375039825094880*lu1^10*f22n[t]*g22n[t]*g44[t] - 111703921644992717120109120*lu1^11*f22n[t]*g22n[t]*g44[t] + 485807501540058726101586240*lu1^12*f22n[t]*g22n[t]*g44[t] + 1641242062951038360023702400*lu1^13*f22n[t]*g22n[t]*g44[t] + 1615658548076656810603968000*lu1^14*f22n[t]*g22n[t]*g44[t] + 501464883203257941938880000*lu1^15*f22n[t]*g22n[t]*g44[t] - 5606564737410*Sqrt[3]*f42n[t]*g22n[t]*g44[t] - 391310322325650*Sqrt[3]*lu1*f42n[t]*g22n[t]*g44[t] + 34188442632432270*Sqrt[3]*lu1^2*f42n[t]*g22n[t]*g44[t] + 1043593592867943390*Sqrt[3]*lu1^3*f42n[t]*g22n[t]*g44[t] - 43594199318631678990*Sqrt[3]*lu1^4*f42n[t]*g22n[t]*g44[t] - 391338959138698167870*Sqrt[3]*lu1^5*f42n[t]*g22n[t]*g44[t] + 13393821359916167463930*Sqrt[3]*lu1^6*f42n[t]*g22n[t]*g44[t] + 69269850179731254758250*Sqrt[3]*lu1^7*f42n[t]*g22n[t]*g44[t] - 1432570457456649304586520*Sqrt[3]*lu1^8*f42n[t]*g22n[t]*g44[t] - 6333415244089823534725080*Sqrt[3]*lu1^9*f42n[t]*g22n[t]*g44[t] + 47506940020397765098682400*Sqrt[3]*lu1^10*f42n[t]*g22n[t]*g44[t] + 231524617066343962775537760*Sqrt[3]*lu1^11*f42n[t]*g22n[t]*g44[t] + 163533153412297000443995520*Sqrt[3]*lu1^12*f42n[t]*g22n[t]*g44[t] - 475376554464832337330832000*Sqrt[3]*lu1^13*f42n[t]*g22n[t]*g44[t] - 706995129934972247031936000*Sqrt[3]*lu1^14*f42n[t]*g22n[t]*g44[t] - 219339122512039515498240000*Sqrt[3]*lu1^15*f42n[t]*g22n[t]*g44[t] + 3036515502510*f40[t]*g40[t]*g44[t] + 328625989409970*lu1*f40[t]* g40[t]*g44[t] - 22758187645250190*lu1^2*f40[t]*g40[t]*g44[t] - 744508728252196110*lu1^3*f40[t]*g40[t]*g44[t] + 27495071148857861430*lu1^4*f40[t]*g40[t]*g44[t] + 246650229419993756910*lu1^5*f40[t]*g40[t]*g44[t] - 7154466396156571483530*lu1^6*f40[t]*g40[t]*g44[t] - 30857830684740971558010*lu1^7*f40[t]*g40[t]*g44[t] + 558384901197410718802980*lu1^8*f40[t]*g40[t]*g44[t] + 647936435586753407210760*lu1^9*f40[t]*g40[t]*g44[t] - 18686331937273480151580720*lu1^10*f40[t]*g40[t]*g44[t] - 3414354984366041951857440*lu1^11*f40[t]*g40[t]*g44[t] + 243051384793783446504872640*lu1^12*f40[t]*g40[t]*g44[t] + 485784735336818126680060800*lu1^13*f40[t]*g40[t]*g44[t] + 271735314700719988780704000*lu1^14*f40[t]*g40[t]*g44[t] + 35458275356475075216000000*lu1^15*f40[t]*g40[t]*g44[t] + 2868169165470*f42[t]*g42[t]*g44[t] + 706509055297458*lu1*f42[t]* g42[t]*g44[t] - 39478300154142318*lu1^2*f42[t]*g42[t]*g44[t] - 1176776798871622158*lu1^3*f42[t]*g42[t]*g44[t] + 46441007090241213366*lu1^4*f42[t]*g42[t]*g44[t] + 308620196219315116206*lu1^5*f42[t]*g42[t]*g44[t] - 12636527985427076851050*lu1^6*f42[t]*g42[t]*g44[t] - 33400233469813181118714*lu1^7*f42[t]*g42[t]*g44[t] + 1228853109596825651336244*lu1^8*f42[t]*g42[t]*g44[t] + 1259776777553350166125512*lu1^9*f42[t]*g42[t]*g44[t] - 47696941432686063220981488*lu1^10*f42[t]*g42[t]*g44[t] - 33418211440207716988522272*lu1^11*f42[t]*g42[t]*g44[t] + 546798520754858333628886464*lu1^12*f42[t]*g42[t]*g44[t] + 1231207228210660430089207680*lu1^13*f42[t]*g42[t]*g44[t] + 751402911010734191473286400*lu1^14*f42[t]*g42[t]*g44[t] + 39285943411440920100480000*lu1^15*f42[t]*g42[t]*g44[t] - 696585372210*Sqrt[3]*f22n[t]*g42n[t]*g44[t] - 84828832935210*Sqrt[3]* lu1*f22n[t]*g42n[t]*g44[t] + 6297515771839110*Sqrt[3]*lu1^2*f22n[t]* g42n[t]*g44[t] + 209081598064114230*Sqrt[3]*lu1^3*f22n[t]*g42n[t]* g44[t] - 10047828796819214310*Sqrt[3]*lu1^4*f22n[t]*g42n[t]*g44[t] - 77848720096450646070*Sqrt[3]*lu1^5*f22n[t]*g42n[t]*g44[t] + 3520305165550668475890*Sqrt[3]*lu1^6*f22n[t]*g42n[t]*g44[t] + 9492644321929859576850*Sqrt[3]*lu1^7*f22n[t]*g42n[t]*g44[t] - 387359004947015772893040*Sqrt[3]*lu1^8*f22n[t]*g42n[t]*g44[t] - 535049263055938489633320*Sqrt[3]*lu1^9*f22n[t]*g42n[t]*g44[t] + 14531954294097044152093200*Sqrt[3]*lu1^10*f22n[t]*g42n[t]*g44[t] + 21496874682602269197549120*Sqrt[3]*lu1^11*f22n[t]*g42n[t]*g44[t] - 147166359993033462789402240*Sqrt[3]*lu1^12*f22n[t]*g42n[t]*g44[t] - 452717711934912513762691200*Sqrt[3]*lu1^13*f22n[t]*g42n[t]*g44[t] - 434689407537011590777632000*Sqrt[3]*lu1^14*f22n[t]*g42n[t]*g44[t] - 130674489594425479160640000*Sqrt[3]*lu1^15*f22n[t]*g42n[t]*g44[t] + 2868169165470*f42n[t]*g42n[t]*g44[t] + 706509055297458*lu1*f42n[t]* g42n[t]*g44[t] - 39478300154142318*lu1^2*f42n[t]*g42n[t]*g44[t] - 1176776798871622158*lu1^3*f42n[t]*g42n[t]*g44[t] + 46441007090241213366*lu1^4*f42n[t]*g42n[t]*g44[t] + 308620196219315116206*lu1^5*f42n[t]*g42n[t]*g44[t] - 12636527985427076851050*lu1^6*f42n[t]*g42n[t]*g44[t] - 33400233469813181118714*lu1^7*f42n[t]*g42n[t]*g44[t] + 1228853109596825651336244*lu1^8*f42n[t]*g42n[t]*g44[t] + 1259776777553350166125512*lu1^9*f42n[t]*g42n[t]*g44[t] - 47696941432686063220981488*lu1^10*f42n[t]*g42n[t]*g44[t] - 33418211440207716988522272*lu1^11*f42n[t]*g42n[t]*g44[t] + 546798520754858333628886464*lu1^12*f42n[t]*g42n[t]*g44[t] + 1231207228210660430089207680*lu1^13*f42n[t]*g42n[t]*g44[t] + 751402911010734191473286400*lu1^14*f42n[t]*g42n[t]*g44[t] + 39285943411440920100480000*lu1^15*f42n[t]*g42n[t]*g44[t] - 9461697750540*f44[t]*g44[t]^2 + 1603791471980124*lu1*f44[t]* g44[t]^2 - 40684853488236804*lu1^2*f44[t]*g44[t]^2 - 1498186336626626724*lu1^3*f44[t]*g44[t]^2 + 46467347834720105748* lu1^4*f44[t]*g44[t]^2 + 460666331789974722468*lu1^5*f44[t]* g44[t]^2 - 13813996410815275212300*lu1^6*f44[t]*g44[t]^2 - 73131488815569133778892*lu1^7*f44[t]*g44[t]^2 + 1436952274421649709693032*lu1^8*f44[t]*g44[t]^2 + 6040983523203195768146736*lu1^9*f44[t]*g44[t]^2 - 44366285641724334603159264*lu1^10*f44[t]*g44[t]^2 - 160392252143576795379662016*lu1^11*f44[t]*g44[t]^2 + 127326668264421725750942592*lu1^12*f44[t]*g44[t]^2 + 943435743713584712713463040*lu1^13*f44[t]*g44[t]^2 + 1082855630728823832843379200*lu1^14*f44[t]*g44[t]^2 + 365721586595114781507840000*lu1^15*f44[t]*g44[t]^2 + 46410*(-9 + 105*lu1 + 20612*lu1^2 + 13692*lu1^3)*f20[t]^2* (3*(174969369 - 9744863490*lu1 + 93261910311*lu1^2 + 3597826824200*lu1^3 - 94576986960849*lu1^4 + 575825676537718* lu1^5 + 63964430901865*lu1^6 - 36184160310989148*lu1^7 - 22587559379581960*lu1^8 - 323129952711075328*lu1^9 - 752312423933394480*lu1^10 + 64813167386785600*lu1^11 + 591110973284160000*lu1^12)*f44[t] + (58715199 + 4312597680*lu1 - 130540467951*lu1^2 - 3109862152326*lu1^3 + 25024457930269*lu1^4 - 47254928223852*lu1^5 + 458950221661255*lu1^6 + 512113507350058*lu1^7 + 3935503267679788*lu1^8 - 57524954296291592*lu1^9 - 329247980245773120*lu1^10 - 717438134474393600*lu1^11 - 516080277187440000*lu1^12)*g44[t]) - 221*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (21450*Sqrt[14]*(976293 - 83881062*lu1 + 878227839*lu1^2 + 57909811812*lu1^3 - 924487206737*lu1^4 - 6214858033574*lu1^5 + 107757495234481*lu1^6 + 181148021822648*lu1^7 - 2310070791837076*lu1^8 - 1428252123465904*lu1^9 + 27014578479138160*lu1^10 + 66346845583648000*lu1^11 + 56674765323304000*lu1^12 + 16268547519840000*lu1^13)*f22[t]^2 - 21450*Sqrt[14]*(976293 - 83881062*lu1 + 878227839*lu1^2 + 57909811812*lu1^3 - 924487206737*lu1^4 - 6214858033574*lu1^5 + 107757495234481*lu1^6 + 181148021822648*lu1^7 - 2310070791837076*lu1^8 - 1428252123465904*lu1^9 + 27014578479138160*lu1^10 + 66346845583648000*lu1^11 + 56674765323304000*lu1^12 + 16268547519840000*lu1^13)*f22n[t]^2 + 148309089210*Sqrt[14]*f42[t]^2 - 5011024521060*Sqrt[14]*lu1* f42[t]^2 + 10830414487770*Sqrt[14]*lu1^2*f42[t]^2 - 408086560791540*Sqrt[14]*lu1^3*f42[t]^2 - 18311370811139250* Sqrt[14]*lu1^4*f42[t]^2 + 348472140433781220*Sqrt[14]*lu1^5* f42[t]^2 - 2174467717569541410*Sqrt[14]*lu1^6*f42[t]^2 + 15133251486300524820*Sqrt[14]*lu1^7*f42[t]^2 + 124901434530912612960*Sqrt[14]*lu1^8*f42[t]^2 + 383516399560483113120*Sqrt[14]*lu1^9*f42[t]^2 + 583328719772037502560*Sqrt[14]*lu1^10*f42[t]^2 + 5712870603016008000*Sqrt[14]*lu1^11*f42[t]^2 - 446937070054614048000*Sqrt[14]*lu1^12*f42[t]^2 - 252981155185920000*Sqrt[14]*lu1^13*f42[t]^2 - 148309089210*Sqrt[14]* f42n[t]^2 + 5011024521060*Sqrt[14]*lu1*f42n[t]^2 - 10830414487770*Sqrt[14]*lu1^2*f42n[t]^2 + 408086560791540*Sqrt[14]* lu1^3*f42n[t]^2 + 18311370811139250*Sqrt[14]*lu1^4*f42n[t]^2 - 348472140433781220*Sqrt[14]*lu1^5*f42n[t]^2 + 2174467717569541410* Sqrt[14]*lu1^6*f42n[t]^2 - 15133251486300524820*Sqrt[14]*lu1^7* f42n[t]^2 - 124901434530912612960*Sqrt[14]*lu1^8*f42n[t]^2 - 383516399560483113120*Sqrt[14]*lu1^9*f42n[t]^2 - 583328719772037502560*Sqrt[14]*lu1^10*f42n[t]^2 - 5712870603016008000*Sqrt[14]*lu1^11*f42n[t]^2 + 446937070054614048000*Sqrt[14]*lu1^12*f42n[t]^2 + 252981155185920000*Sqrt[14]*lu1^13*f42n[t]^2 + 578769672600*Sqrt[5]* f40[t]*f44[t] - 24759184237200*Sqrt[5]*lu1*f40[t]*f44[t] + 248639543785080*Sqrt[5]*lu1^2*f40[t]*f44[t] + 2212610857405200* Sqrt[5]*lu1^3*f40[t]*f44[t] - 114942454198319160*Sqrt[5]*lu1^4* f40[t]*f44[t] + 453725284955881680*Sqrt[5]*lu1^5*f40[t]*f44[t] - 8093576470329768600*Sqrt[5]*lu1^6*f40[t]*f44[t] + 83758394458278131760*Sqrt[5]*lu1^7*f40[t]*f44[t] + 1041365253897734068800*Sqrt[5]*lu1^8*f40[t]*f44[t] + 1858305499540691806080*Sqrt[5]*lu1^9*f40[t]*f44[t] - 670741893671660576640*Sqrt[5]*lu1^10*f40[t]*f44[t] - 3505129920421722835200*Sqrt[5]*lu1^11*f40[t]*f44[t] - 2296993481402667264000*Sqrt[5]*lu1^12*f40[t]*f44[t] - 410017680192960000000*Sqrt[5]*lu1^13*f40[t]*f44[t] + 49341587400*f44[t]*g20[t] - 5808334641480*lu1*f44[t]*g20[t] + 59010653421720*lu1^2*f44[t]*g20[t] + 3951734051495160*lu1^3*f44[t]* g20[t] - 34962252081441720*lu1^4*f44[t]*g20[t] - 340572274439628280*lu1^5*f44[t]*g20[t] + 1448605972313842440*lu1^6* f44[t]*g20[t] - 31784308847649382360*lu1^7*f44[t]*g20[t] - 241048322812182408880*lu1^8*f44[t]*g20[t] - 657844196228378585440* lu1^9*f44[t]*g20[t] - 446370007301741071360*lu1^10*f44[t]*g20[t] + 928932308497981872000*lu1^11*f44[t]*g20[t] + 1541812877507915936000* lu1^12*f44[t]*g20[t] + 583847698399627200000*lu1^13*f44[t]* g20[t] - 2390563530*Sqrt[42]*f42[t]*g22[t] - 602198367210*Sqrt[42]* lu1*f42[t]*g22[t] + 16299434407230*Sqrt[42]*lu1^2*f42[t]*g22[t] + 469710653965170*Sqrt[42]*lu1^3*f42[t]*g22[t] - 6710539250325810*Sqrt[42]*lu1^4*f42[t]*g22[t] - 89605567749102950*Sqrt[42]*lu1^5*f42[t]*g22[t] + 361593573047951970*Sqrt[42]*lu1^6*f42[t]*g22[t] + 4845012501966079630*Sqrt[42]*lu1^7*f42[t]*g22[t] + 16769559953911971100*Sqrt[42]*lu1^8*f42[t]*g22[t] + 13834706741935981360*Sqrt[42]*lu1^9*f42[t]*g22[t] - 83405939842552619840*Sqrt[42]*lu1^10*f42[t]*g22[t] - 130127889309123194400*Sqrt[42]*lu1^11*f42[t]*g22[t] - 28606924117376648000*Sqrt[42]*lu1^12*f42[t]*g22[t] + 93898248299520000*Sqrt[42]*lu1^13*f42[t]*g22[t] - 490482135*Sqrt[14]*g22[t]^2 + 9101805570*Sqrt[14]*lu1*g22[t]^2 + 639406677195*Sqrt[14]*lu1^2*g22[t]^2 - 7787070591300*Sqrt[14]*lu1^3* g22[t]^2 - 286565855924205*Sqrt[14]*lu1^4*g22[t]^2 + 1816730220921330*Sqrt[14]*lu1^5*g22[t]^2 + 56831542676502165* Sqrt[14]*lu1^6*g22[t]^2 - 47184441347060160*Sqrt[14]*lu1^7* g22[t]^2 - 4407047161219517100*Sqrt[14]*lu1^8*g22[t]^2 - 16201807989347769360*Sqrt[14]*lu1^9*g22[t]^2 + 11069152973541577200* Sqrt[14]*lu1^10*g22[t]^2 + 82368183953010384000*Sqrt[14]*lu1^11* g22[t]^2 + 80962386872161080000*Sqrt[14]*lu1^12*g22[t]^2 + 21059026731943200000*Sqrt[14]*lu1^13*g22[t]^2 + 2390563530*Sqrt[42]*f42n[t]*g22n[t] + 602198367210*Sqrt[42]*lu1* f42n[t]*g22n[t] - 16299434407230*Sqrt[42]*lu1^2*f42n[t]*g22n[t] - 469710653965170*Sqrt[42]*lu1^3*f42n[t]*g22n[t] + 6710539250325810*Sqrt[42]*lu1^4*f42n[t]*g22n[t] + 89605567749102950*Sqrt[42]*lu1^5*f42n[t]*g22n[t] - 361593573047951970*Sqrt[42]*lu1^6*f42n[t]*g22n[t] - 4845012501966079630*Sqrt[42]*lu1^7*f42n[t]*g22n[t] - 16769559953911971100*Sqrt[42]*lu1^8*f42n[t]*g22n[t] - 13834706741935981360*Sqrt[42]*lu1^9*f42n[t]*g22n[t] + 83405939842552619840*Sqrt[42]*lu1^10*f42n[t]*g22n[t] + 130127889309123194400*Sqrt[42]*lu1^11*f42n[t]*g22n[t] + 28606924117376648000*Sqrt[42]*lu1^12*f42n[t]*g22n[t] - 93898248299520000*Sqrt[42]*lu1^13*f42n[t]*g22n[t] + 490482135*Sqrt[14]*g22n[t]^2 - 9101805570*Sqrt[14]*lu1*g22n[t]^2 - 639406677195*Sqrt[14]*lu1^2*g22n[t]^2 + 7787070591300*Sqrt[14]* lu1^3*g22n[t]^2 + 286565855924205*Sqrt[14]*lu1^4*g22n[t]^2 - 1816730220921330*Sqrt[14]*lu1^5*g22n[t]^2 - 56831542676502165* Sqrt[14]*lu1^6*g22n[t]^2 + 47184441347060160*Sqrt[14]*lu1^7* g22n[t]^2 + 4407047161219517100*Sqrt[14]*lu1^8*g22n[t]^2 + 16201807989347769360*Sqrt[14]*lu1^9*g22n[t]^2 - 11069152973541577200*Sqrt[14]*lu1^10*g22n[t]^2 - 82368183953010384000*Sqrt[14]*lu1^11*g22n[t]^2 - 80962386872161080000*Sqrt[14]*lu1^12*g22n[t]^2 - 21059026731943200000*Sqrt[14]*lu1^13*g22n[t]^2 + 12937452192*Sqrt[5]*f44[t]*g40[t] + 3077862189192*Sqrt[5]*lu1* f44[t]*g40[t] - 57535628606064*Sqrt[5]*lu1^2*f44[t]*g40[t] - 1683093485925432*Sqrt[5]*lu1^3*f44[t]*g40[t] + 11169155250629712* Sqrt[5]*lu1^4*f44[t]*g40[t] + 241589111013523224*Sqrt[5]*lu1^5* f44[t]*g40[t] - 57282266964471696*Sqrt[5]*lu1^6*f44[t]*g40[t] - 10986271986630319848*Sqrt[5]*lu1^7*f44[t]*g40[t] - 13992965387671166064*Sqrt[5]*lu1^8*f44[t]*g40[t] + 121270970657291503104*Sqrt[5]*lu1^9*f44[t]*g40[t] + 289657238722114435200*Sqrt[5]*lu1^10*f44[t]*g40[t] - 2346875556168528000*Sqrt[5]*lu1^11*f44[t]*g40[t] - 388325404146123360000*Sqrt[5]*lu1^12*f44[t]*g40[t] - 196861593348766080000*Sqrt[5]*lu1^13*f44[t]*g40[t] + 7358265990*Sqrt[14]*f42[t]*g42[t] + 1874094324570*Sqrt[14]*lu1* f42[t]*g42[t] - 29651558213790*Sqrt[14]*lu1^2*f42[t]*g42[t] - 1402000589368350*Sqrt[14]*lu1^3*f42[t]*g42[t] - 244467373657050*Sqrt[14]*lu1^4*f42[t]*g42[t] + 85488844208257710* Sqrt[14]*lu1^5*f42[t]*g42[t] + 613418780265312150*Sqrt[14]*lu1^6* f42[t]*g42[t] - 3517230319358639850*Sqrt[14]*lu1^7*f42[t]*g42[t] - 11826549317117980260*Sqrt[14]*lu1^8*f42[t]*g42[t] + 34468459258780962720*Sqrt[14]*lu1^9*f42[t]*g42[t] + 35504772435667336320*Sqrt[14]*lu1^10*f42[t]*g42[t] - 262239469056903520800*Sqrt[14]*lu1^11*f42[t]*g42[t] - 371651985222782472000*Sqrt[14]*lu1^12*f42[t]*g42[t] - 75498919804415520000*Sqrt[14]*lu1^13*f42[t]*g42[t] + 93333870*Sqrt[42]*g22[t]*g42[t] + 1230203700*Sqrt[42]*lu1*g22[t]* g42[t] - 233102037870*Sqrt[42]*lu1^2*g22[t]*g42[t] + 338334464340*Sqrt[42]*lu1^3*g22[t]*g42[t] + 127307736763590* Sqrt[42]*lu1^4*g22[t]*g42[t] - 178935973919580*Sqrt[42]*lu1^5* g22[t]*g42[t] - 25096378524501450*Sqrt[42]*lu1^6*g22[t]*g42[t] - 5281169961455940*Sqrt[42]*lu1^7*g22[t]*g42[t] + 1564608811413891780*Sqrt[42]*lu1^8*g22[t]*g42[t] + 1501774123122233880*Sqrt[42]*lu1^9*g22[t]*g42[t] - 18378289495757168640*Sqrt[42]*lu1^10*g22[t]*g42[t] - 47895821078011900800*Sqrt[42]*lu1^11*g22[t]*g42[t] - 39173432728351320000*Sqrt[42]*lu1^12*g22[t]*g42[t] - 8996363483212560000*Sqrt[42]*lu1^13*g22[t]*g42[t] + 162089505*Sqrt[14]*g42[t]^2 - 12457222470*Sqrt[14]*lu1*g42[t]^2 + 122153546475*Sqrt[14]*lu1^2*g42[t]^2 + 242468392680*Sqrt[14]*lu1^3* g42[t]^2 - 1777104859545*Sqrt[14]*lu1^4*g42[t]^2 + 206864457874650*Sqrt[14]*lu1^5*g42[t]^2 - 98192708701155*Sqrt[14]* lu1^6*g42[t]^2 - 6235035022790820*Sqrt[14]*lu1^7*g42[t]^2 - 57571129140681600*Sqrt[14]*lu1^8*g42[t]^2 + 163403972119847880* Sqrt[14]*lu1^9*g42[t]^2 + 754463347826729040*Sqrt[14]*lu1^10* g42[t]^2 + 213003096830611200*Sqrt[14]*lu1^11*g42[t]^2 + 87960374232912000*Sqrt[14]*lu1^12*g42[t]^2 + 1235536088628240000* Sqrt[14]*lu1^13*g42[t]^2 - 10*Sqrt[14]*f22[t]* (2*Sqrt[3]*(1937506149 - 153625048416*lu1 + 1958249413728*lu1^2 + 75689362802883*lu1^3 - 1305510477873381*lu1^4 - 6605664734408650*lu1^5 + 71470617249515706*lu1^6 + 434611886985640175*lu1^7 + 2230653866646557558*lu1^8 + 5785216657037006744*lu1^9 + 1277228529222737312*lu1^10 - 1270608689646566640*lu1^11 + 7404232943741021600*lu1^12 + 4496951729920272000*lu1^13)*f42[t] + 143*(1248777 - 336392757*lu1 + 6558243921*lu1^2 + 262102060791*lu1^3 - 4496287848897*lu1^4 - 39523402965911*lu1^ 5 + 498718878259131*lu1^6 + 2301356970093517*lu1^7 - 11825994770364068*lu1^8 - 57575632807310024*lu1^9 + 127464303801303760*lu1^10 + 504894017728266000*lu1^11 + 441633766381864000*lu1^12 + 116662110882240000*lu1^13)*g22[t] - 3*Sqrt[3]*(-14794569 - 10482334173*lu1 + 203338108485*lu1^2 + 6177407865933*lu1^3 - 52572564078979*lu1^4 - 400322566784791* lu1^5 + 2080622441105459*lu1^6 + 21806677470091555*lu1^7 - 92631959140158764*lu1^8 - 459508420016205068*lu1^9 + 860719037912984864*lu1^10 + 4464641321679663920*lu1^11 + 4955154792966243200*lu1^12 + 1658352691368744000*lu1^13)* g42[t]) - 7358265990*Sqrt[14]*f42n[t]*g42n[t] - 1874094324570*Sqrt[14]*lu1*f42n[t]*g42n[t] + 29651558213790* Sqrt[14]*lu1^2*f42n[t]*g42n[t] + 1402000589368350*Sqrt[14]*lu1^3* f42n[t]*g42n[t] + 244467373657050*Sqrt[14]*lu1^4*f42n[t]*g42n[t] - 85488844208257710*Sqrt[14]*lu1^5*f42n[t]*g42n[t] - 613418780265312150*Sqrt[14]*lu1^6*f42n[t]*g42n[t] + 3517230319358639850*Sqrt[14]*lu1^7*f42n[t]*g42n[t] + 11826549317117980260*Sqrt[14]*lu1^8*f42n[t]*g42n[t] - 34468459258780962720*Sqrt[14]*lu1^9*f42n[t]*g42n[t] - 35504772435667336320*Sqrt[14]*lu1^10*f42n[t]*g42n[t] + 262239469056903520800*Sqrt[14]*lu1^11*f42n[t]*g42n[t] + 371651985222782472000*Sqrt[14]*lu1^12*f42n[t]*g42n[t] + 75498919804415520000*Sqrt[14]*lu1^13*f42n[t]*g42n[t] - 93333870*Sqrt[42]*g22n[t]*g42n[t] - 1230203700*Sqrt[42]*lu1*g22n[t]* g42n[t] + 233102037870*Sqrt[42]*lu1^2*g22n[t]*g42n[t] - 338334464340*Sqrt[42]*lu1^3*g22n[t]*g42n[t] - 127307736763590* Sqrt[42]*lu1^4*g22n[t]*g42n[t] + 178935973919580*Sqrt[42]*lu1^5* g22n[t]*g42n[t] + 25096378524501450*Sqrt[42]*lu1^6*g22n[t]* g42n[t] + 5281169961455940*Sqrt[42]*lu1^7*g22n[t]*g42n[t] - 1564608811413891780*Sqrt[42]*lu1^8*g22n[t]*g42n[t] - 1501774123122233880*Sqrt[42]*lu1^9*g22n[t]*g42n[t] + 18378289495757168640*Sqrt[42]*lu1^10*g22n[t]*g42n[t] + 47895821078011900800*Sqrt[42]*lu1^11*g22n[t]*g42n[t] + 39173432728351320000*Sqrt[42]*lu1^12*g22n[t]*g42n[t] + 8996363483212560000*Sqrt[42]*lu1^13*g22n[t]*g42n[t] - 162089505*Sqrt[14]*g42n[t]^2 + 12457222470*Sqrt[14]*lu1*g42n[t]^2 - 122153546475*Sqrt[14]*lu1^2*g42n[t]^2 - 242468392680*Sqrt[14]*lu1^3* g42n[t]^2 + 1777104859545*Sqrt[14]*lu1^4*g42n[t]^2 - 206864457874650*Sqrt[14]*lu1^5*g42n[t]^2 + 98192708701155*Sqrt[14]* lu1^6*g42n[t]^2 + 6235035022790820*Sqrt[14]*lu1^7*g42n[t]^2 + 57571129140681600*Sqrt[14]*lu1^8*g42n[t]^2 - 163403972119847880* Sqrt[14]*lu1^9*g42n[t]^2 - 754463347826729040*Sqrt[14]*lu1^10* g42n[t]^2 - 213003096830611200*Sqrt[14]*lu1^11*g42n[t]^2 - 87960374232912000*Sqrt[14]*lu1^12*g42n[t]^2 - 1235536088628240000* Sqrt[14]*lu1^13*g42n[t]^2 + 10*Sqrt[14]*f22n[t]* (2*Sqrt[3]*(1937506149 - 153625048416*lu1 + 1958249413728*lu1^2 + 75689362802883*lu1^3 - 1305510477873381*lu1^4 - 6605664734408650*lu1^5 + 71470617249515706*lu1^6 + 434611886985640175*lu1^7 + 2230653866646557558*lu1^8 + 5785216657037006744*lu1^9 + 1277228529222737312*lu1^10 - 1270608689646566640*lu1^11 + 7404232943741021600*lu1^12 + 4496951729920272000*lu1^13)*f42n[t] + 143*(1248777 - 336392757*lu1 + 6558243921*lu1^2 + 262102060791*lu1^3 - 4496287848897*lu1^4 - 39523402965911*lu1^ 5 + 498718878259131*lu1^6 + 2301356970093517*lu1^7 - 11825994770364068*lu1^8 - 57575632807310024*lu1^9 + 127464303801303760*lu1^10 + 504894017728266000*lu1^11 + 441633766381864000*lu1^12 + 116662110882240000*lu1^13)* g22n[t] - 3*Sqrt[3]*(-14794569 - 10482334173*lu1 + 203338108485*lu1^2 + 6177407865933*lu1^3 - 52572564078979*lu1^ 4 - 400322566784791*lu1^5 + 2080622441105459*lu1^6 + 21806677470091555*lu1^7 - 92631959140158764*lu1^8 - 459508420016205068*lu1^9 + 860719037912984864*lu1^10 + 4464641321679663920*lu1^11 + 4955154792966243200*lu1^12 + 1658352691368744000*lu1^13)*g42n[t]) + 52057880280*Sqrt[5]* f40[t]*g44[t] + 5282555673024*Sqrt[5]*lu1*f40[t]*g44[t] - 109034411951304*Sqrt[5]*lu1^2*f40[t]*g44[t] - 3108628500354720* Sqrt[5]*lu1^3*f40[t]*g44[t] + 2960598014316936*Sqrt[5]*lu1^4* f40[t]*g44[t] + 67387969753497792*Sqrt[5]*lu1^5*f40[t]*g44[t] + 1252237781823724584*Sqrt[5]*lu1^6*f40[t]*g44[t] - 224683458980531040*Sqrt[5]*lu1^7*f40[t]*g44[t] - 22506680554582545216*Sqrt[5]*lu1^8*f40[t]*g44[t] - 39083580930284827776*Sqrt[5]*lu1^9*f40[t]*g44[t] + 74907752904218344320*Sqrt[5]*lu1^10*f40[t]*g44[t] + 181847976512864256000*Sqrt[5]*lu1^11*f40[t]*g44[t] + 82056415499726976000*Sqrt[5]*lu1^12*f40[t]*g44[t] + 924730758927360000*Sqrt[5]*lu1^13*f40[t]*g44[t] + 2388255030*g20[t]*g44[t] + 141118736220*lu1*g20[t]*g44[t] - 6882719677470*lu1^2*g20[t]*g44[t] - 98375336325000*lu1^3*g20[t]* g44[t] + 2959371662805810*lu1^4*g20[t]*g44[t] + 14080308193993020*lu1^5*g20[t]*g44[t] - 286682242426515810*lu1^6* g20[t]*g44[t] - 547713507849569040*lu1^7*g20[t]*g44[t] + 7089768007162927800*lu1^8*g20[t]*g44[t] + 5500798243390605120*lu1^9* g20[t]*g44[t] - 86646640083217949280*lu1^10*g20[t]*g44[t] - 245101660444833696000*lu1^11*g20[t]*g44[t] - 238536635922388272000* lu1^12*g20[t]*g44[t] - 75885541652793600000*lu1^13*g20[t]*g44[t] - 427121100*Sqrt[5]*g40[t]*g44[t] - 29895238296*Sqrt[5]*lu1*g40[t]* g44[t] + 1532962376316*Sqrt[5]*lu1^2*g40[t]*g44[t] + 5942169011520*Sqrt[5]*lu1^3*g40[t]*g44[t] - 561216410381844*Sqrt[5]* lu1^4*g40[t]*g44[t] - 209598166026648*Sqrt[5]*lu1^5*g40[t]* g44[t] + 69868444259035044*Sqrt[5]*lu1^6*g40[t]*g44[t] + 31972971648819600*Sqrt[5]*lu1^7*g40[t]*g44[t] - 2994665243941921536*Sqrt[5]*lu1^8*g40[t]*g44[t] - 2816418415475490336*Sqrt[5]*lu1^9*g40[t]*g44[t] + 33595810798076573760*Sqrt[5]*lu1^10*g40[t]*g44[t] + 90200973115928908800*Sqrt[5]*lu1^11*g40[t]*g44[t] + 79628894706263616000*Sqrt[5]*lu1^12*g40[t]*g44[t] + 23114168860708800000*Sqrt[5]*lu1^13*g40[t]*g44[t]) + 2210*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]^2* (6*Sqrt[70]*(310650957 - 21306610863*lu1 + 215615032701*lu1^2 + 11498800916137*lu1^3 - 220149018846133*lu1^4 - 194796277693705*lu1^5 + 9621673555480167*lu1^6 - 3325460120260349*lu1^7 - 48614130182575124*lu1^8 + 182196963868581900*lu1^9 + 1202118125633704760*lu1^10 + 2722767471742869440*lu1^11 + 2546910120826036000*lu1^12 + 719203608428592000*lu1^13)*f40[t] + 14*(3154668849 - 235263733362*lu1 + 3707210709459*lu1^2 + 56613462366420*lu1^3 - 1106389111216857*lu1^4 - 6733863105600346*lu1^5 + 9324164145687093*lu1^6 + 862390382909897744*lu1^7 + 9119860383216966368*lu1^8 + 8543872920059060840*lu1^9 - 57083404247121200416*lu1^10 - 98557127022230239200*lu1^11 - 29663738558182532800*lu1^12 + 7051696185938208000*lu1^13)*f44[t] + 3*(143*Sqrt[14]*(320841 - 56893941*lu1 + 914059593*lu1^2 + 48166475223*lu1^3 - 730048437961*lu1^4 - 10016507204663*lu1^5 + 98653499055203*lu1^6 + 859472292028461*lu1^7 - 1759440150995004*lu1^8 - 10056394423820712*lu1^9 + 14616417357656080*lu1^10 + 87233818307594000*lu1^11 + 101357146816312000*lu1^12 + 35075232635520000*lu1^13)*g20[t] - 2*(Sqrt[70]*(1 + 2*lu1)^2*(-18630324 - 2430763533*lu1 + 65652116715*lu1^2 + 1684758696009*lu1^3 - 18797317955027* lu1^4 + 9038717818965*lu1^5 - 25616346531075*lu1^6 + 3809282120509439*lu1^7 - 24093554605882017*lu1^8 + 28062975793490760*lu1^9 + 153338242181298400*lu1^10 + 82894711164069000*lu1^11)*g40[t] + 7*(-19431495 - 8967043494*lu1 + 231127012593*lu1^2 + 2569042037376*lu1^3 - 56042030602803*lu1^4 - 114814072587494*lu1^5 + 3525411544428087*lu1^6 + 3729397918200436*lu1^7 - 108505739998371398*lu1^8 - 223571842198899416*lu1^9 + 1132072655838538552*lu1^10 + 3655097176641798480*lu1^11 + 3444108552628897600*lu1^12 + 1033077490549608000*lu1^13)*g44[ t]))) + 21247776688320*Sqrt[3]*f22n[t]*f42[t]*g44n[t] - 689917195290960*Sqrt[3]*lu1*f22n[t]*f42[t]*g44n[t] - 42455081932295760*Sqrt[3]*lu1^2*f22n[t]*f42[t]*g44n[t] + 1025229239375730480*Sqrt[3]*lu1^3*f22n[t]*f42[t]*g44n[t] - 4441340676331999440*Sqrt[3]*lu1^4*f22n[t]*f42[t]*g44n[t] - 95574343421667779760*Sqrt[3]*lu1^5*f22n[t]*f42[t]*g44n[t] + 4673798366986432516560*Sqrt[3]*lu1^6*f22n[t]*f42[t]*g44n[t] - 33532680828923766912240*Sqrt[3]*lu1^7*f22n[t]*f42[t]*g44n[t] - 595086106474582739256240*Sqrt[3]*lu1^8*f22n[t]*f42[t]*g44n[t] + 4247637273954105651721920*Sqrt[3]*lu1^9*f22n[t]*f42[t]*g44n[t] + 36098403432807979038484800*Sqrt[3]*lu1^10*f22n[t]*f42[t]*g44n[t] - 12480174358900193917520640*Sqrt[3]*lu1^11*f22n[t]*f42[t]*g44n[t] - 955905316241390529580151040*Sqrt[3]*lu1^12*f22n[t]*f42[t]*g44n[t] - 2593223429758332408409881600*Sqrt[3]*lu1^13*f22n[t]*f42[t]*g44n[t] - 1869063026950615238520960000*Sqrt[3]*lu1^14*f22n[t]*f42[t]*g44n[t] + 5398615818338998993920000*Sqrt[3]*lu1^15*f22n[t]*f42[t]*g44n[t] + 594399623267520*f44[t]*f44n[t]*g44n[t] - 38824278017462784*lu1*f44[t]* f44n[t]*g44n[t] - 1438403693710366656*lu1^2*f44[t]*f44n[t]*g44n[t] + 88297039828487012544*lu1^3*f44[t]*f44n[t]*g44n[t] + 2022237492774001215552*lu1^4*f44[t]*f44n[t]*g44n[t] - 68110762152576725725248*lu1^5*f44[t]*f44n[t]*g44n[t] - 1224975494050685670928320*lu1^6*f44[t]*f44n[t]*g44n[t] + 15040849932306096395821632*lu1^7*f44[t]*f44n[t]*g44n[t] + 166887442849022812301188608*lu1^8*f44[t]*f44n[t]*g44n[t] - 718126620093699601511353536*lu1^9*f44[t]*f44n[t]*g44n[t] - 3935937641804958824365113216*lu1^10*f44[t]*f44n[t]*g44n[t] + 277276487893550710156118016*lu1^11*f44[t]*f44n[t]*g44n[t] + 15217630845391057204646396928*lu1^12*f44[t]*f44n[t]*g44n[t] + 12873392486329908842353013760*lu1^13*f44[t]*f44n[t]*g44n[t] - 2956870499730970316810803200*lu1^14*f44[t]*f44n[t]*g44n[t] - 3135127020335728120765440000*lu1^15*f44[t]*f44n[t]*g44n[t] + 5074290675090*f22n[t]*g22[t]*g44n[t] - 396486228206250*lu1*f22n[t]* g22[t]*g44n[t] - 6514745759080650*lu1^2*f22n[t]*g22[t]*g44n[t] + 844002694169017110*lu1^3*f22n[t]*g22[t]*g44n[t] - 2968149994967372670*lu1^4*f22n[t]*g22[t]*g44n[t] - 230785813617564831990*lu1^5*f22n[t]*g22[t]*g44n[t] - 791906382314683520430*lu1^6*f22n[t]*g22[t]*g44n[t] + 31444635924168559280370*lu1^7*f22n[t]*g22[t]*g44n[t] + 355853291180273241684420*lu1^8*f22n[t]*g22[t]*g44n[t] - 1709843124111027471132840*lu1^9*f22n[t]*g22[t]*g44n[t] - 29098712271422942725143840*lu1^10*f22n[t]*g22[t]*g44n[t] - 1381848182624805541114560*lu1^11*f22n[t]*g22[t]*g44n[t] + 562619321383502002552645440*lu1^12*f22n[t]*g22[t]*g44n[t] + 1605508939177969410852758400*lu1^13*f22n[t]*g22[t]*g44n[t] + 1584872310802643703317568000*lu1^14*f22n[t]*g22[t]*g44n[t] + 486364854708163807346880000*lu1^15*f22n[t]*g22[t]*g44n[t] - 2564657115930*Sqrt[3]*f42n[t]*g22[t]*g44n[t] + 384795588840390*Sqrt[3]*lu1*f42n[t]*g22[t]*g44n[t] + 477808328456550*Sqrt[3]*lu1^2*f42n[t]*g22[t]*g44n[t] - 872402021969022090*Sqrt[3]*lu1^3*f42n[t]*g22[t]*g44n[t] + 2334533374213865370*Sqrt[3]*lu1^4*f42n[t]*g22[t]*g44n[t] + 198890276565292693290*Sqrt[3]*lu1^5*f42n[t]*g22[t]*g44n[t] + 2365648441074638376930*Sqrt[3]*lu1^6*f42n[t]*g22[t]*g44n[t] - 17973978351798462419790*Sqrt[3]*lu1^7*f42n[t]*g22[t]*g44n[t] - 568035907789535680065480*Sqrt[3]*lu1^8*f42n[t]*g22[t]*g44n[t] + 8474162617689823421640*Sqrt[3]*lu1^9*f42n[t]*g22[t]*g44n[t] + 30039781492391838484262400*Sqrt[3]*lu1^10*f42n[t]*g22[t]*g44n[t] + 27057351368304592618701600*Sqrt[3]*lu1^11*f42n[t]*g22[t]*g44n[t] - 368429929239715345397566080*Sqrt[3]*lu1^12*f42n[t]*g22[t]*g44n[t] - 835226920254661760909865600*Sqrt[3]*lu1^13*f42n[t]*g22[t]*g44n[t] - 317838147027443574936768000*Sqrt[3]*lu1^14*f42n[t]*g22[t]*g44n[t] + 218513635130506115836800000*Sqrt[3]*lu1^15*f42n[t]*g22[t]*g44n[t] + 2564657115930*Sqrt[3]*f42[t]*g22n[t]*g44n[t] - 384795588840390*Sqrt[3]*lu1*f42[t]*g22n[t]*g44n[t] - 477808328456550*Sqrt[3]*lu1^2*f42[t]*g22n[t]*g44n[t] + 872402021969022090*Sqrt[3]*lu1^3*f42[t]*g22n[t]*g44n[t] - 2334533374213865370*Sqrt[3]*lu1^4*f42[t]*g22n[t]*g44n[t] - 198890276565292693290*Sqrt[3]*lu1^5*f42[t]*g22n[t]*g44n[t] - 2365648441074638376930*Sqrt[3]*lu1^6*f42[t]*g22n[t]*g44n[t] + 17973978351798462419790*Sqrt[3]*lu1^7*f42[t]*g22n[t]*g44n[t] + 568035907789535680065480*Sqrt[3]*lu1^8*f42[t]*g22n[t]*g44n[t] - 8474162617689823421640*Sqrt[3]*lu1^9*f42[t]*g22n[t]*g44n[t] - 30039781492391838484262400*Sqrt[3]*lu1^10*f42[t]*g22n[t]*g44n[t] - 27057351368304592618701600*Sqrt[3]*lu1^11*f42[t]*g22n[t]*g44n[t] + 368429929239715345397566080*Sqrt[3]*lu1^12*f42[t]*g22n[t]*g44n[t] + 835226920254661760909865600*Sqrt[3]*lu1^13*f42[t]*g22n[t]*g44n[t] + 317838147027443574936768000*Sqrt[3]*lu1^14*f42[t]*g22n[t]*g44n[t] - 218513635130506115836800000*Sqrt[3]*lu1^15*f42[t]*g22n[t]*g44n[t] - 1722330931230*Sqrt[3]*f22n[t]*g42[t]*g44n[t] + 92644711704090*Sqrt[3]* lu1*f22n[t]*g42[t]*g44n[t] + 3819883572962730*Sqrt[3]*lu1^2*f22n[t]* g42[t]*g44n[t] - 193992515460632070*Sqrt[3]*lu1^3*f22n[t]*g42[t]* g44n[t] - 1897715183319929610*Sqrt[3]*lu1^4*f22n[t]*g42[t]*g44n[t] + 57155933224910058630*Sqrt[3]*lu1^5*f22n[t]*g42[t]*g44n[t] + 956685595866763316190*Sqrt[3]*lu1^6*f22n[t]*g42[t]*g44n[t] - 7705425990545475096450*Sqrt[3]*lu1^7*f22n[t]*g42[t]*g44n[t] - 153924608689678934474640*Sqrt[3]*lu1^8*f22n[t]*g42[t]*g44n[t] + 312829704477684275143080*Sqrt[3]*lu1^9*f22n[t]*g42[t]*g44n[t] + 7543537881294702445420080*Sqrt[3]*lu1^10*f22n[t]*g42[t]*g44n[t] + 1097995019098871509062720*Sqrt[3]*lu1^11*f22n[t]*g42[t]*g44n[t] - 99734633586848598355355520*Sqrt[3]*lu1^12*f22n[t]*g42[t]*g44n[t] - 229809431752393176300489600*Sqrt[3]*lu1^13*f22n[t]*g42[t]*g44n[t] - 167298282478831084884576000*Sqrt[3]*lu1^14*f22n[t]*g42[t]*g44n[t] - 26733243552033477251520000*Sqrt[3]*lu1^15*f22n[t]*g42[t]*g44n[t] + 4205300703030*f42n[t]*g42[t]*g44n[t] - 339124711513014*lu1*f42n[t]* g42[t]*g44n[t] - 1109231676980406*lu1^2*f42n[t]*g42[t]*g44n[t] + 155004632411456394*lu1^3*f42n[t]*g42[t]*g44n[t] + 5976079657260644862*lu1^4*f42n[t]*g42[t]*g44n[t] + 175016727425242921302*lu1^5*f42n[t]*g42[t]*g44n[t] - 5190976336659025643010*lu1^6*f42n[t]*g42[t]*g44n[t] - 44699347048599914340978*lu1^7*f42n[t]*g42[t]*g44n[t] + 753158213102039571071028*lu1^8*f42n[t]*g42[t]*g44n[t] + 3270801039961788464126184*lu1^9*f42n[t]*g42[t]*g44n[t] - 33236763579790928707593456*lu1^10*f42n[t]*g42[t]*g44n[t] - 86346759320466055057098144*lu1^11*f42n[t]*g42[t]*g44n[t] + 310044762816180637220111808*lu1^12*f42n[t]*g42[t]*g44n[t] + 1220655998283107308427836800*lu1^13*f42n[t]*g42[t]*g44n[t] + 1355003103190546459820217600*lu1^14*f42n[t]*g42[t]*g44n[t] + 521402651622307639062144000*lu1^15*f42n[t]*g42[t]*g44n[t] - 4205300703030*f42[t]*g42n[t]*g44n[t] + 339124711513014*lu1*f42[t]* g42n[t]*g44n[t] + 1109231676980406*lu1^2*f42[t]*g42n[t]*g44n[t] - 155004632411456394*lu1^3*f42[t]*g42n[t]*g44n[t] - 5976079657260644862*lu1^4*f42[t]*g42n[t]*g44n[t] - 175016727425242921302*lu1^5*f42[t]*g42n[t]*g44n[t] + 5190976336659025643010*lu1^6*f42[t]*g42n[t]*g44n[t] + 44699347048599914340978*lu1^7*f42[t]*g42n[t]*g44n[t] - 753158213102039571071028*lu1^8*f42[t]*g42n[t]*g44n[t] - 3270801039961788464126184*lu1^9*f42[t]*g42n[t]*g44n[t] + 33236763579790928707593456*lu1^10*f42[t]*g42n[t]*g44n[t] + 86346759320466055057098144*lu1^11*f42[t]*g42n[t]*g44n[t] - 310044762816180637220111808*lu1^12*f42[t]*g42n[t]*g44n[t] - 1220655998283107308427836800*lu1^13*f42[t]*g42n[t]*g44n[t] - 1355003103190546459820217600*lu1^14*f42[t]*g42n[t]*g44n[t] - 521402651622307639062144000*lu1^15*f42[t]*g42n[t]*g44n[t] + 6214800305700*f44n[t]*g44[t]*g44n[t] + 129996458597628*lu1*f44n[t]* g44[t]*g44n[t] - 32050890633464388*lu1^2*f44n[t]*g44[t]*g44n[t] - 462971990923182468*lu1^3*f44n[t]*g44[t]*g44n[t] + 45312278056039270836*lu1^4*f44n[t]*g44[t]*g44n[t] + 348577050942716355396*lu1^5*f44n[t]*g44[t]*g44n[t] - 20267762756869796788620*lu1^6*f44n[t]*g44[t]*g44n[t] - 72152036966945003815404*lu1^7*f44n[t]*g44[t]*g44n[t] + 2960955440006901258368664*lu1^8*f44n[t]*g44[t]*g44n[t] + 7801822482582073622311152*lu1^9*f44n[t]*g44[t]*g44n[t] - 134351981664656696010973728*lu1^10*f44n[t]*g44[t]*g44n[t] - 258277449083829742268678592*lu1^11*f44n[t]*g44[t]*g44n[t] + 1302074003305852914926888064*lu1^12*f44n[t]*g44[t]*g44n[t] + 4240846889445222007959087360*lu1^13*f44n[t]*g44[t]*g44n[t] + 3912483244594612155894720000*lu1^14*f44n[t]*g44[t]*g44n[t] + 998863702786529215227648000*lu1^15*f44n[t]*g44[t]*g44n[t] - 15676498056240*f44[t]*g44n[t]^2 + 1473795013382496*lu1*f44[t]* g44n[t]^2 - 8633962854772416*lu1^2*f44[t]*g44n[t]^2 - 1035214345703444256*lu1^3*f44[t]*g44n[t]^2 + 1155069778680834912* lu1^4*f44[t]*g44n[t]^2 + 112089280847258367072*lu1^5*f44[t]* g44n[t]^2 + 6453766346054521576320*lu1^6*f44[t]*g44n[t]^2 - 979451848624129963488*lu1^7*f44[t]*g44n[t]^2 - 1524003165585251548675632*lu1^8*f44[t]*g44n[t]^2 - 1760838959378877854164416*lu1^9*f44[t]*g44n[t]^2 + 89985696022932361407814464*lu1^10*f44[t]*g44n[t]^2 + 97885196940252946889016576*lu1^11*f44[t]*g44n[t]^2 - 1174747335041431189175945472*lu1^12*f44[t]*g44n[t]^2 - 3297411145731637295245624320*lu1^13*f44[t]*g44n[t]^2 - 2829627613865788323051340800*lu1^14*f44[t]*g44n[t]^2 - 633142116191414433719808000*lu1^15*f44[t]*g44n[t]^2 + 221*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]*(-164356380720*Sqrt[3]*f42n[t]* f44n[t] + 6159931825320*Sqrt[3]*lu1*f42n[t]*f44n[t] + 115523910653760*Sqrt[3]*lu1^2*f42n[t]*f44n[t] + 2405585671714680*Sqrt[3]*lu1^3*f42n[t]*f44n[t] - 16910816017628400*Sqrt[3]*lu1^4*f42n[t]*f44n[t] - 1309871095367403240*Sqrt[3]*lu1^5*f42n[t]*f44n[t] - 1562265211942622880*Sqrt[3]*lu1^6*f42n[t]*f44n[t] + 86816741773104713160*Sqrt[3]*lu1^7*f42n[t]*f44n[t] + 1160234430919552154880*Sqrt[3]*lu1^8*f42n[t]*f44n[t] + 518563388149536965760*Sqrt[3]*lu1^9*f42n[t]*f44n[t] - 6052127485280786421120*Sqrt[3]*lu1^10*f42n[t]*f44n[t] - 6994948558446901584000*Sqrt[3]*lu1^11*f42n[t]*f44n[t] - 1260138552358857024000*Sqrt[3]*lu1^12*f42n[t]*f44n[t] - 799046064647093760000*Sqrt[3]*lu1^13*f42n[t]*f44n[t] - 169608909960*f44[t]*g22[t] + 18420833047680*lu1*f44[t]*g22[t] - 252650637439200*lu1^2*f44[t]*g22[t] - 11433030397782000*lu1^3* f44[t]*g22[t] + 138099043201502880*lu1^4*f44[t]*g22[t] + 2633468604614752800*lu1^5*f44[t]*g22[t] - 13432263785566836000* lu1^6*f44[t]*g22[t] - 248614390324786132080*lu1^7*f44[t]*g22[t] - 500692740352814714040*lu1^8*f44[t]*g22[t] + 1269036334229456634240* lu1^9*f44[t]*g22[t] + 5067384633339397330080*lu1^10*f44[t]* g22[t] + 2635689428864712628800*lu1^11*f44[t]*g22[t] - 3917701533539469984000*lu1^12*f44[t]*g22[t] - 2745406693134299040000*lu1^13*f44[t]*g22[t] + 103725765*Sqrt[14]* g20[t]*g22[t] + 13085199270*Sqrt[14]*lu1*g20[t]*g22[t] - 595334559105*Sqrt[14]*lu1^2*g20[t]*g22[t] - 10645135300800*Sqrt[14]* lu1^3*g20[t]*g22[t] + 417850113318495*Sqrt[14]*lu1^4*g20[t]* g22[t] + 2219549217229630*Sqrt[14]*lu1^5*g20[t]*g22[t] - 81580699526689935*Sqrt[14]*lu1^6*g20[t]*g22[t] - 314423821138830260*Sqrt[14]*lu1^7*g20[t]*g22[t] + 5075865038605975900*Sqrt[14]*lu1^8*g20[t]*g22[t] + 24667430429161989040*Sqrt[14]*lu1^9*g20[t]*g22[t] + 1186619000330249200*Sqrt[14]*lu1^10*g20[t]*g22[t] - 97184086080829176000*Sqrt[14]*lu1^11*g20[t]*g22[t] - 124505567560208120000*Sqrt[14]*lu1^12*g20[t]*g22[t] - 45855553248304800000*Sqrt[14]*lu1^13*g20[t]*g22[t] - 122321155320*f44n[t]*g22n[t] + 6532261182720*lu1*f44n[t]*g22n[t] + 40271755829760*lu1^2*f44n[t]*g22n[t] - 5637443329867440*lu1^3* f44n[t]*g22n[t] + 13396222280269920*lu1^4*f44n[t]*g22n[t] + 1275496483885696800*lu1^5*f44n[t]*g22n[t] - 864348397752228480* lu1^6*f44n[t]*g22n[t] - 100547461186687809840*lu1^7*f44n[t]* g22n[t] - 252150983507273901960*lu1^8*f44n[t]*g22n[t] + 557151811580265283200*lu1^9*f44n[t]*g22n[t] - 128024163376784569440* lu1^10*f44n[t]*g22n[t] - 5960079613297427217600*lu1^11*f44n[t]* g22n[t] - 8081504817735009024000*lu1^12*f44n[t]*g22n[t] - 2760470158269925920000*lu1^13*f44n[t]*g22n[t] - 57091635*Sqrt[70]*g22[t]*g40[t] - 8458182810*Sqrt[70]*lu1*g22[t]* g40[t] + 287079033735*Sqrt[70]*lu1^2*g22[t]*g40[t] + 6600821351760*Sqrt[70]*lu1^3*g22[t]*g40[t] - 149179971371265* Sqrt[70]*lu1^4*g22[t]*g40[t] - 1070771261774490*Sqrt[70]*lu1^5* g22[t]*g40[t] + 16927194497904345*Sqrt[70]*lu1^6*g22[t]*g40[t] + 60095665905911340*Sqrt[70]*lu1^7*g22[t]*g40[t] - 551667807202964220*Sqrt[70]*lu1^8*g22[t]*g40[t] - 1531674787876573800*Sqrt[70]*lu1^9*g22[t]*g40[t] + 3602320111380759600*Sqrt[70]*lu1^10*g22[t]*g40[t] + 15836725334077430400*Sqrt[70]*lu1^11*g22[t]*g40[t] + 17729039140133592000*Sqrt[70]*lu1^12*g22[t]*g40[t] + 6295323059778480000*Sqrt[70]*lu1^13*g22[t]*g40[t] - 70444442880*Sqrt[3]*f44[t]*g42[t] - 12401573997960*Sqrt[3]*lu1* f44[t]*g42[t] + 205355765142360*Sqrt[3]*lu1^2*f44[t]*g42[t] + 7850939549769960*Sqrt[3]*lu1^3*f44[t]*g42[t] - 11235864231596760* Sqrt[3]*lu1^4*f44[t]*g42[t] - 721231147844859960*Sqrt[3]*lu1^5* f44[t]*g42[t] - 2921507579500079640*Sqrt[3]*lu1^6*f44[t]*g42[t] + 31081879776793287960*Sqrt[3]*lu1^7*f44[t]*g42[t] + 79617947043618018840*Sqrt[3]*lu1^8*f44[t]*g42[t] - 213287218019550346560*Sqrt[3]*lu1^9*f44[t]*g42[t] - 745412855576435531520*Sqrt[3]*lu1^10*f44[t]*g42[t] - 286708442035925414400*Sqrt[3]*lu1^11*f44[t]*g42[t] + 783050621768228688000*Sqrt[3]*lu1^12*f44[t]*g42[t] + 603165139317585600000*Sqrt[3]*lu1^13*f44[t]*g42[t] + 118334925*Sqrt[42]*g20[t]*g42[t] - 28591797960*Sqrt[42]*lu1*g20[t]* g42[t] + 529871869215*Sqrt[42]*lu1^2*g20[t]*g42[t] + 15634852418430*Sqrt[42]*lu1^3*g20[t]*g42[t] - 248031066816045* Sqrt[42]*lu1^4*g20[t]*g42[t] - 2519702208827940*Sqrt[42]*lu1^5* g20[t]*g42[t] + 24972356532784905*Sqrt[42]*lu1^6*g20[t]*g42[t] + 158832306594570030*Sqrt[42]*lu1^7*g20[t]*g42[t] - 620882038878160440*Sqrt[42]*lu1^8*g20[t]*g42[t] - 4615376700472170240*Sqrt[42]*lu1^9*g20[t]*g42[t] - 4285435103465720880*Sqrt[42]*lu1^10*g20[t]*g42[t] + 12730443963503148000*Sqrt[42]*lu1^11*g20[t]*g42[t] + 26185250231315808000*Sqrt[42]*lu1^12*g20[t]*g42[t] + 13158866630800800000*Sqrt[42]*lu1^13*g20[t]*g42[t] - 157496805*Sqrt[210]*g40[t]*g42[t] + 19280388204*Sqrt[210]*lu1* g40[t]*g42[t] - 245193014439*Sqrt[210]*lu1^2*g40[t]*g42[t] - 9189452358810*Sqrt[210]*lu1^3*g40[t]*g42[t] + 106917513496221* Sqrt[210]*lu1^4*g40[t]*g42[t] + 1323603117277992*Sqrt[210]*lu1^5* g40[t]*g42[t] - 8529775721377521*Sqrt[210]*lu1^6*g40[t]*g42[t] - 60683070772204530*Sqrt[210]*lu1^7*g40[t]*g42[t] + 145542850746873744*Sqrt[210]*lu1^8*g40[t]*g42[t] + 1208151063209703864*Sqrt[210]*lu1^9*g40[t]*g42[t] + 568593220347252720*Sqrt[210]*lu1^10*g40[t]*g42[t] - 5951279007948386400*Sqrt[210]*lu1^11*g40[t]*g42[t] - 10334916573652656000*Sqrt[210]*lu1^12*g40[t]*g42[t] - 4472384952979440000*Sqrt[210]*lu1^13*g40[t]*g42[t] + 12*Sqrt[70]*f40[t]*(5*Sqrt[3]*(-1425298626 + 87494972031*lu1 - 1122735468624*lu1^2 - 16281576108011*lu1^3 + 353702407137814* lu1^4 - 175180604452679*lu1^5 + 3910237053395996*lu1^6 + 48080023389589459*lu1^7 - 519041411965133936*lu1^8 - 2899011953571256144*lu1^9 - 3860867053255193360*lu1^10 + 181635831483251280*lu1^11 + 1974666575777742400*lu1^12 + 69339967047232000*lu1^13)*f42[t] - 5*(-8731746 - 6940451799*lu1 + 158075895549*lu1^2 + 5755152141373*lu1^3 - 80560565829355*lu1^4 - 932446419807673* lu1^5 + 5831200153337099*lu1^6 + 35479119735327599*lu1^7 - 38014689458512031*lu1^8 - 330406435938170036*lu1^9 + 27664034395458820*lu1^10 + 1771914259105606520*lu1^11 + 2126762791531461600*lu1^12 + 496079556401044000*lu1^13)* g22[t] + Sqrt[3]*(50788485 - 49951155888*lu1 + 805829075988*lu1^ 2 + 20264384492510*lu1^3 - 167925235255672*lu1^4 - 2959251905185004*lu1^5 + 3422814698503912*lu1^6 + 110155023675738870*lu1^7 - 44012799687725913*lu1^8 - 807863893208447528*lu1^9 + 2456285838888824800*lu1^10 + 11165464566814470800*lu1^11 + 10889099797181642000*lu1^12 + 2426176107673080000*lu1^13)*g42[t]) + 57705313680*Sqrt[3]* f44n[t]*g42n[t] - 246302857080*Sqrt[3]*lu1*f44n[t]*g42n[t] - 72695397920040*Sqrt[3]*lu1^2*f44n[t]*g42n[t] + 2414304001121880*Sqrt[3]*lu1^3*f44n[t]*g42n[t] + 25229366674502760*Sqrt[3]*lu1^4*f44n[t]*g42n[t] - 347736385565843400*Sqrt[3]*lu1^5*f44n[t]*g42n[t] - 2796739766923404120*Sqrt[3]*lu1^6*f44n[t]*g42n[t] + 19468232653106480040*Sqrt[3]*lu1^7*f44n[t]*g42n[t] + 43559395667867648520*Sqrt[3]*lu1^8*f44n[t]*g42n[t] - 168671553576344817600*Sqrt[3]*lu1^9*f44n[t]*g42n[t] + 310685456282181120*Sqrt[3]*lu1^10*f44n[t]*g42n[t] + 1385828499288030336000*Sqrt[3]*lu1^11*f44n[t]*g42n[t] + 1751754081191889264000*Sqrt[3]*lu1^12*f44n[t]*g42n[t] + 465651275263594560000*Sqrt[3]*lu1^13*f44n[t]*g42n[t] - 80066070*g22[t]*g44[t] - 525180722220*lu1*g22[t]*g44[t] + 15033176391870*lu1^2*g22[t]*g44[t] + 162995680741320*lu1^3*g22[t]* g44[t] - 5985631829852850*lu1^4*g22[t]*g44[t] - 18748082641205820*lu1^5*g22[t]*g44[t] + 790385451603745410*lu1^6* g22[t]*g44[t] + 1483907745854071440*lu1^7*g22[t]*g44[t] - 36756533318295822360*lu1^8*g22[t]*g44[t] - 75064584396064359600* lu1^9*g22[t]*g44[t] + 315730795353943263840*lu1^10*g22[t]*g44[t] + 1079167968666668630400*lu1^11*g22[t]*g44[t] + 1066083654906104688000*lu1^12*g22[t]*g44[t] + 331444912313467680000* lu1^13*g22[t]*g44[t] + 1050656670*Sqrt[3]*g42[t]*g44[t] + 140905056600*Sqrt[3]*lu1*g42[t]*g44[t] - 5363087940630*Sqrt[3]* lu1^2*g42[t]*g44[t] - 59956271931780*Sqrt[3]*lu1^3*g42[t]*g44[t] + 2177068856787090*Sqrt[3]*lu1^4*g42[t]*g44[t] + 7449187358765040*Sqrt[3]*lu1^5*g42[t]*g44[t] - 249716441237270490* Sqrt[3]*lu1^6*g42[t]*g44[t] - 398504465287651380*Sqrt[3]*lu1^7* g42[t]*g44[t] + 9484085522429054880*Sqrt[3]*lu1^8*g42[t]*g44[t] + 14595661454666838000*Sqrt[3]*lu1^9*g42[t]*g44[t] - 95786778061592718240*Sqrt[3]*lu1^10*g42[t]*g44[t] - 297712878416961739200*Sqrt[3]*lu1^11*g42[t]*g44[t] - 286842640298223072000*Sqrt[3]*lu1^12*g42[t]*g44[t] - 86369746309187040000*Sqrt[3]*lu1^13*g42[t]*g44[t] + 4*Sqrt[3]*f42[t]*(210*(-1992841164 + 99031298589*lu1 - 1222130880618*lu1^2 - 14840805376229*lu1^3 + 460589675480160* lu1^4 - 388203423926413*lu1^5 + 22155458463163294*lu1^6 - 227061369023191723*lu1^7 - 3429577519381667224*lu1^8 - 6182711563876285328*lu1^9 + 3269027818591110896*lu1^10 + 12600025201535550000*lu1^11 + 7206447858108827200*lu1^12 + 1486525212939648000*lu1^13)*f44[t] - 5*Sqrt[14]* (180693180 - 34093762569*lu1 + 611007015177*lu1^2 + 25980898174167*lu1^3 - 390417529487121*lu1^4 - 5999362717772929*lu1^5 + 44466915070736271*lu1^6 + 581312430095376041*lu1^7 + 631392877753381805*lu1^8 - 3086476359798609094*lu1^9 - 3076945283363419264*lu1^10 + 11771547755425572240*lu1^11 + 18870488175432719600*lu1^12 + 6533243361191148000*lu1^13)*g20[t] + 3*(Sqrt[70]*(48271221 - 56324710719*lu1 + 570696783813*lu1^2 + 39769912908549*lu1^3 + 32780543019531*lu1^4 - 4449993150394573*lu1^5 - 20786699629894633*lu1^6 + 199269454658766951*lu1^7 + 389629650863005028*lu1^8 - 1209041049502604208*lu1^9 - 398748618133049600*lu1^10 + 8520883965135027600*lu1^11 + 12096143731298272000*lu1^12 + 4434283008037120000*lu1^13)*g40[t] + 140*(-57203469 - 7619412168*lu1 + 166184828844*lu1^2 + 3288313959620*lu1^3 - 23501228268426*lu1^4 - 211102693140656*lu1^5 + 162308012983380*lu1^6 + 5319204178498836*lu1^7 + 7405848489505639*lu1^8 - 23206203196675280*lu1^9 - 72976632689382880*lu1^10 + 20705077976309040*lu1^11 + 158737714924246800*lu1^12 + 79729542054344000*lu1^13)*g44[ t])) + 32047928640*Sqrt[3]*f42n[t]*g44n[t] - 645341301360*Sqrt[3]*lu1*f42n[t]*g44n[t] + 1139349395520*Sqrt[3]* lu1^2*f42n[t]*g44n[t] + 87731903513520*Sqrt[3]*lu1^3*f42n[t]* g44n[t] - 3016832584856160*Sqrt[3]*lu1^4*f42n[t]*g44n[t] + 18842237802714480*Sqrt[3]*lu1^5*f42n[t]*g44n[t] + 397445274388753920*Sqrt[3]*lu1^6*f42n[t]*g44n[t] - 2677384103808763440*Sqrt[3]*lu1^7*f42n[t]*g44n[t] - 23616725913380896800*Sqrt[3]*lu1^8*f42n[t]*g44n[t] + 5629243072791058560*Sqrt[3]*lu1^9*f42n[t]*g44n[t] + 623122798114554474240*Sqrt[3]*lu1^10*f42n[t]*g44n[t] + 1707321472324154937600*Sqrt[3]*lu1^11*f42n[t]*g44n[t] + 1235382820496395200000*Sqrt[3]*lu1^12*f42n[t]*g44n[t] - 3568233402693120000*Sqrt[3]*lu1^13*f42n[t]*g44n[t] + 7653530430*g22n[t]*g44n[t] - 503624901780*lu1*g22n[t]*g44n[t] + 1427820120090*lu1^2*g22n[t]*g44n[t] + 141343327518120*lu1^3*g22n[t]* g44n[t] + 524672232217770*lu1^4*g22n[t]*g44n[t] - 19076802281961060*lu1^5*g22n[t]*g44n[t] - 232407460157901210*lu1^6* g22n[t]*g44n[t] + 1028185341067728480*lu1^7*g22n[t]*g44n[t] + 19059091024019450040*lu1^8*g22n[t]*g44n[t] + 2432165801291793840* lu1^9*g22n[t]*g44n[t] - 366618011190299363040*lu1^10*g22n[t]* g44n[t] - 1055655349035661046400*lu1^11*g22n[t]*g44n[t] - 1045789327458618288000*lu1^12*g22n[t]*g44n[t] - 321464497356955680000*lu1^13*g22n[t]*g44n[t] - 2597784210*Sqrt[3]* g42n[t]*g44n[t] + 107696274840*Sqrt[3]*lu1*g42n[t]*g44n[t] + 1161624173850*Sqrt[3]*lu1^2*g42n[t]*g44n[t] - 32508465205860* Sqrt[3]*lu1^3*g42n[t]*g44n[t] - 612426883099710*Sqrt[3]*lu1^4* g42n[t]*g44n[t] + 4470461588468400*Sqrt[3]*lu1^5*g42n[t]*g44n[t] + 100542245339115510*Sqrt[3]*lu1^6*g42n[t]*g44n[t] - 180445946830839060*Sqrt[3]*lu1^7*g42n[t]*g44n[t] - 4951910158634191200*Sqrt[3]*lu1^8*g42n[t]*g44n[t] - 1011534362495860560*Sqrt[3]*lu1^9*g42n[t]*g44n[t] + 65150618015740679520*Sqrt[3]*lu1^10*g42n[t]*g44n[t] + 151303958258930433600*Sqrt[3]*lu1^11*g42n[t]*g44n[t] + 110480869740254496000*Sqrt[3]*lu1^12*g42n[t]*g44n[t] + 17669427833826720000*Sqrt[3]*lu1^13*g42n[t]*g44n[t])))/ (102204102*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) + (-77*(3 + 8*lu1 + 4*lu1^2)*mar*Sqrt[Pi]* (8580*Sqrt[70]*(-13 + 489*lu1 - 1643*lu1^2 - 64021*lu1^3 + 208200*lu1^4 + 651100*lu1^5)*f22[t]^2 - 8580*Sqrt[70]* (-13 + 489*lu1 - 1643*lu1^2 - 64021*lu1^3 + 208200*lu1^4 + 651100*lu1^5)*f22n[t]^2 - 1240110*Sqrt[70]*f42[t]^2 + 20206530*Sqrt[70]*lu1*f42[t]^2 - 199822410*Sqrt[70]*lu1^2*f42[t]^2 + 456907230*Sqrt[70]*lu1^3*f42[t]^2 + 1962057600*Sqrt[70]*lu1^4* f42[t]^2 + 134919000*Sqrt[70]*lu1^5*f42[t]^2 + 1240110*Sqrt[70]*f42n[t]^2 - 20206530*Sqrt[70]*lu1*f42n[t]^2 + 199822410*Sqrt[70]*lu1^2*f42n[t]^2 - 456907230*Sqrt[70]*lu1^3* f42n[t]^2 - 1962057600*Sqrt[70]*lu1^4*f42n[t]^2 - 134919000*Sqrt[70]*lu1^5*f42n[t]^2 + 960960*Sqrt[Pi]*f44[t] - 22902880*lu1*Sqrt[Pi]*f44[t] - 10250240*lu1^2*Sqrt[Pi]*f44[t] + 2622940320*lu1^3*Sqrt[Pi]*f44[t] - 7844636800*lu1^4*Sqrt[Pi]* f44[t] - 25865840000*lu1^5*Sqrt[Pi]*f44[t] + 2513784*Sqrt[5]*f20[t]* f44[t] - 80582320*Sqrt[5]*lu1*f20[t]*f44[t] + 697295872*Sqrt[5]*lu1^2*f20[t]*f44[t] + 3376865856*Sqrt[5]*lu1^3* f20[t]*f44[t] - 12020870680*Sqrt[5]*lu1^4*f20[t]*f44[t] - 14044175600*Sqrt[5]*lu1^5*f20[t]*f44[t] - 11574360*f40[t]*f44[t] + 188594280*lu1*f40[t]*f44[t] - 1865009160*lu1^2*f40[t]*f44[t] + 4264467480*lu1^3*f40[t]*f44[t] + 18312537600*lu1^4*f40[t]*f44[t] + 1259244000*lu1^5*f40[t]*f44[t] + 35490*Sqrt[5]*f44[t]*g20[t] + 18197270*Sqrt[5]*lu1*f44[t]*g20[t] - 136843070*Sqrt[5]*lu1^2*f44[t]* g20[t] - 3182664030*Sqrt[5]*lu1^3*f44[t]*g20[t] + 698346740*Sqrt[5]*lu1^4*f44[t]*g20[t] + 9983100400*Sqrt[5]*lu1^5* f44[t]*g20[t] + 2535*Sqrt[210]*f42[t]*g22[t] + 1299805*Sqrt[210]*lu1*f42[t]*g22[t] - 9774505*Sqrt[210]*lu1^2*f42[t]* g22[t] - 227333145*Sqrt[210]*lu1^3*f42[t]*g22[t] + 49881910*Sqrt[210]*lu1^4*f42[t]*g22[t] + 713078600*Sqrt[210]*lu1^5* f42[t]*g22[t] + 2145*Sqrt[70]*g22[t]^2 - 15015*Sqrt[70]*lu1* g22[t]^2 - 834405*Sqrt[70]*lu1^2*g22[t]^2 + 735735*Sqrt[70]*lu1^3* g22[t]^2 + 97726200*Sqrt[70]*lu1^4*g22[t]^2 + 433933500*Sqrt[70]* lu1^5*g22[t]^2 - 2535*Sqrt[210]*f42n[t]*g22n[t] - 1299805*Sqrt[210]*lu1*f42n[t]*g22n[t] + 9774505*Sqrt[210]*lu1^2* f42n[t]*g22n[t] + 227333145*Sqrt[210]*lu1^3*f42n[t]*g22n[t] - 49881910*Sqrt[210]*lu1^4*f42n[t]*g22n[t] - 713078600*Sqrt[210]*lu1^5* f42n[t]*g22n[t] - 2145*Sqrt[70]*g22n[t]^2 + 15015*Sqrt[70]*lu1* g22n[t]^2 + 834405*Sqrt[70]*lu1^2*g22n[t]^2 - 735735*Sqrt[70]*lu1^3* g22n[t]^2 - 97726200*Sqrt[70]*lu1^4*g22n[t]^2 - 433933500*Sqrt[70]*lu1^5*g22n[t]^2 - 667170*f44[t]*g40[t] - 49885290*lu1*f44[t]*g40[t] + 85560930*lu1^2*f44[t]*g40[t] + 1955222010*lu1^3*f44[t]*g40[t] - 809209800*lu1^4*f44[t]*g40[t] - 7978005000*lu1^5*f44[t]*g40[t] - 142965*Sqrt[70]*f42[t]*g42[t] - 10689705*Sqrt[70]*lu1*f42[t]*g42[t] + 18334485*Sqrt[70]*lu1^2*f42[t]* g42[t] + 418976145*Sqrt[70]*lu1^3*f42[t]*g42[t] - 173402100*Sqrt[70]*lu1^4*f42[t]*g42[t] - 1709572500*Sqrt[70]*lu1^5* f42[t]*g42[t] - 780*Sqrt[210]*g22[t]*g42[t] - 28132*Sqrt[210]*lu1* g22[t]*g42[t] + 559780*Sqrt[210]*lu1^2*g22[t]*g42[t] + 4967508*Sqrt[210]*lu1^3*g22[t]*g42[t] - 36853960*Sqrt[210]*lu1^4* g22[t]*g42[t] - 102190400*Sqrt[210]*lu1^5*g22[t]*g42[t] + 1215*Sqrt[70]*g42[t]^2 + 53055*Sqrt[70]*lu1*g42[t]^2 - 942435*Sqrt[70]*lu1^2*g42[t]^2 - 9176895*Sqrt[70]*lu1^3*g42[t]^2 + 57769200*Sqrt[70]*lu1^4*g42[t]^2 + 143896500*Sqrt[70]*lu1^5* g42[t]^2 - 13*Sqrt[70]*f22[t]*(4*Sqrt[3]*(-3453 + 110690*lu1 - 957824*lu1^2 - 4638552*lu1^3 + 16512185*lu1^4 + 19291450*lu1^5)* f42[t] + 55*(-33 + 1943*lu1 - 8963*lu1^2 - 298887*lu1^3 + 621920*lu1^4 + 4414900*lu1^5)*g22[t] - 3*Sqrt[3]* (465 + 26831*lu1 - 176747*lu1^2 - 770763*lu1^3 + 3094790*lu1^4 + 9523600*lu1^5)*g42[t]) + 142965*Sqrt[70]*f42n[t]*g42n[t] + 10689705*Sqrt[70]*lu1*f42n[t]*g42n[t] - 18334485*Sqrt[70]*lu1^2* f42n[t]*g42n[t] - 418976145*Sqrt[70]*lu1^3*f42n[t]*g42n[t] + 173402100*Sqrt[70]*lu1^4*f42n[t]*g42n[t] + 1709572500*Sqrt[70]*lu1^5* f42n[t]*g42n[t] + 780*Sqrt[210]*g22n[t]*g42n[t] + 28132*Sqrt[210]*lu1*g22n[t]*g42n[t] - 559780*Sqrt[210]*lu1^2*g22n[t]* g42n[t] - 4967508*Sqrt[210]*lu1^3*g22n[t]*g42n[t] + 36853960*Sqrt[210]*lu1^4*g22n[t]*g42n[t] + 102190400*Sqrt[210]*lu1^5* g22n[t]*g42n[t] - 1215*Sqrt[70]*g42n[t]^2 - 53055*Sqrt[70]*lu1* g42n[t]^2 + 942435*Sqrt[70]*lu1^2*g42n[t]^2 + 9176895*Sqrt[70]*lu1^3*g42n[t]^2 - 57769200*Sqrt[70]*lu1^4* g42n[t]^2 - 143896500*Sqrt[70]*lu1^5*g42n[t]^2 + 13*Sqrt[70]*f22n[t]*(4*Sqrt[3]*(-3453 + 110690*lu1 - 957824*lu1^2 - 4638552*lu1^3 + 16512185*lu1^4 + 19291450*lu1^5)*f42n[t] + 55*(-33 + 1943*lu1 - 8963*lu1^2 - 298887*lu1^3 + 621920*lu1^4 + 4414900*lu1^5)*g22n[t] - 3*Sqrt[3]*(465 + 26831*lu1 - 176747*lu1^2 - 770763*lu1^3 + 3094790*lu1^4 + 9523600*lu1^5)* g42n[t]) + 60060*Sqrt[Pi]*g44[t] + 2622620*lu1*Sqrt[Pi]*g44[t] - 46586540*lu1^2*Sqrt[Pi]*g44[t] - 453633180*lu1^3*Sqrt[Pi]*g44[t] + 2855652800*lu1^4*Sqrt[Pi]*g44[t] + 7113106000*lu1^5*Sqrt[Pi]* g44[t] + 253890*Sqrt[5]*f20[t]*g44[t] + 14649726*Sqrt[5]*lu1*f20[t]* g44[t] - 96503862*Sqrt[5]*lu1^2*f20[t]*g44[t] - 420836598*Sqrt[5]*lu1^3*f20[t]*g44[t] + 1689755340*Sqrt[5]*lu1^4* f20[t]*g44[t] + 5199885600*Sqrt[5]*lu1^5*f20[t]*g44[t] - 667170*f40[t]*g44[t] - 49885290*lu1*f40[t]*g44[t] + 85560930*lu1^2*f40[t]*g44[t] + 1955222010*lu1^3*f40[t]*g44[t] - 809209800*lu1^4*f40[t]*g44[t] - 7978005000*lu1^5*f40[t]*g44[t] - 10920*Sqrt[5]*g20[t]*g44[t] - 393848*Sqrt[5]*lu1*g20[t]*g44[t] + 7836920*Sqrt[5]*lu1^2*g20[t]*g44[t] + 69545112*Sqrt[5]*lu1^3*g20[t]* g44[t] - 515955440*Sqrt[5]*lu1^4*g20[t]*g44[t] - 1430665600*Sqrt[5]*lu1^5*g20[t]*g44[t] + 11340*g40[t]*g44[t] + 495180*lu1*g40[t]*g44[t] - 8796060*lu1^2*g40[t]*g44[t] - 85651020*lu1^3*g40[t]*g44[t] + 539179200*lu1^4*g40[t]*g44[t] + 1343034000*lu1^5*g40[t]*g44[t]) + 154*cap*(3 + 8*lu1 + 4*lu1^2)* Sqrt[Pi]*(1430*Sqrt[70]*(-27 + 511*lu1 + 1043*lu1^2 - 49779*lu1^3 + 248440*lu1^4 + 695300*lu1^5)*f22[t]^2 - 1430*Sqrt[70]* (-27 + 511*lu1 + 1043*lu1^2 - 49779*lu1^3 + 248440*lu1^4 + 695300*lu1^5)*f22n[t]^2 - 78*Sqrt[70]*f22[t]* (Sqrt[3]*(-1530 + 11231*lu1 - 123201*lu1^2 + 1175199*lu1^3 + 5622155*lu1^4 + 275250*lu1^5)*f42[t] + (-1 + 3*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*(55*g22[t] - 3*Sqrt[3]*g42[t])) + 78*Sqrt[70]*f22n[t]*(Sqrt[3]*(-1530 + 11231*lu1 - 123201*lu1^2 + 1175199*lu1^3 + 5622155*lu1^4 + 275250*lu1^5)*f42n[t] + (-1 + 3*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2*(55*g22n[t] - 3*Sqrt[3]*g42n[t])) - 3*(270*Sqrt[70]*(957 - 241*lu1 + 107437*lu1^2 - 665811*lu1^3 - 1620910*lu1^4 + 315400*lu1^5)* f42[t]^2 - 270*Sqrt[70]*(957 - 241*lu1 + 107437*lu1^2 - 665811*lu1^3 - 1620910*lu1^4 + 315400*lu1^5)*f42n[t]^2 - 3*Sqrt[70]*(-3 + 49*lu1 + 287*lu1^2 - 4761*lu1^3 + 5920*lu1^4 + 32300*lu1^5)*f42[t]*(221*Sqrt[3]*g22[t] - 405*g42[t]) + 3*Sqrt[70]*(-3 + 49*lu1 + 287*lu1^2 - 4761*lu1^3 + 5920*lu1^4 + 32300*lu1^5)*f42n[t]*(221*Sqrt[3]*g22n[t] - 405*g42n[t]) + 14*(4290*(-3 + 49*lu1 + 287*lu1^2 - 4761*lu1^3 + 5920*lu1^4 + 32300*lu1^5)*Sqrt[Pi]*f44[t] + 26*Sqrt[5]*f20[t]* ((-1530 + 11231*lu1 - 123201*lu1^2 + 1175199*lu1^3 + 5622155*lu1^4 + 275250*lu1^5)*f44[t] - 3*(-1 + 3*lu1)* (-1 + 7*lu1 + 170*lu1^2)^2*g44[t]) + 3*(-3 + 13*lu1 + 38* lu1^2)*(-((1 - 12*lu1 - 135*lu1^2 + 850*lu1^3)*f44[t]* (221*Sqrt[5]*g20[t] - 135*g40[t])) + 15*f40[t]* (4*(-319 - 1302*lu1 - 45495*lu1^2 + 8300*lu1^3)*f44[t] + 9*(1 - 12*lu1 - 135*lu1^2 + 850*lu1^3)*g44[t]))))) + 3*(-1 + 17*lu1)*(-154154*(1 + 12*lu1 + 20*lu1^2)^2* (9 - 204*lu1 + 829*lu1^2 + 646*lu1^3)*Pi*sc*g44n[t] + Sqrt[Pi/3]*(6306300*Sqrt[21*Pi]*f42n[t] - 70420350*lu1*Sqrt[21*Pi]* f42n[t] - 974673700*lu1^2*Sqrt[21*Pi]*f42n[t] + 5068513450*lu1^3*Sqrt[21*Pi]*f42n[t] + 14767252500*lu1^4* Sqrt[21*Pi]*f42n[t] + 528327800*lu1^5*Sqrt[21*Pi]*f42n[t] - 4526522000*lu1^6*Sqrt[21*Pi]*f42n[t] - 114041550*Sqrt[21]*f40[t]* f42n[t] + 1293026875*Sqrt[21]*lu1*f40[t]*f42n[t] - 11060051800*Sqrt[21]*lu1^2*f40[t]*f42n[t] - 41719410425*Sqrt[21]* lu1^3*f40[t]*f42n[t] + 29749728400*Sqrt[21]*lu1^4*f40[t]* f42n[t] + 105434388500*Sqrt[21]*lu1^5*f40[t]*f42n[t] - 54287072000*Sqrt[21]*lu1^6*f40[t]*f42n[t] + 364749630*Sqrt[30]* f42n[t]*f44[t] + 18132965725*Sqrt[30]*lu1*f42n[t]*f44[t] + 172528349280*Sqrt[30]*lu1^2*f42n[t]*f44[t] - 110813982895*Sqrt[30]* lu1^3*f42n[t]*f44[t] - 553797331640*Sqrt[30]*lu1^4*f42n[t]* f44[t] + 86805161100*Sqrt[30]*lu1^5*f42n[t]*f44[t] + 97543124000*Sqrt[30]*lu1^6*f42n[t]*f44[t] + 132699840*Sqrt[10]* f22[t]*f44n[t] - 9034481820*Sqrt[10]*lu1*f22[t]*f44n[t] - 78769260570*Sqrt[10]*lu1^2*f22[t]*f44n[t] + 425422921560*Sqrt[10]* lu1^3*f22[t]*f44n[t] + 1217647903290*Sqrt[10]*lu1^4*f22[t]* f44n[t] + 60843908580*Sqrt[10]*lu1^5*f22[t]*f44n[t] - 382808462400*Sqrt[10]*lu1^6*f22[t]*f44n[t] + 123372690*Sqrt[30]* f42[t]*f44n[t] + 10141494475*Sqrt[30]*lu1*f42[t]*f44n[t] + 77526249640*Sqrt[30]*lu1^2*f42[t]*f44n[t] - 282781776585*Sqrt[30]* lu1^3*f42[t]*f44n[t] - 529060765520*Sqrt[30]*lu1^4*f42[t]* f44n[t] + 386392738900*Sqrt[30]*lu1^5*f42[t]*f44n[t] - 30747696000*Sqrt[30]*lu1^6*f42[t]*f44n[t] - 974610*Sqrt[105]* f42n[t]*g20[t] + 10883145*Sqrt[105]*lu1*f42n[t]*g20[t] + 150631390*Sqrt[105]*lu1^2*f42n[t]*g20[t] - 783315715*Sqrt[105]* lu1^3*f42n[t]*g20[t] - 2282211750*Sqrt[105]*lu1^4*f42n[t]* g20[t] - 81650660*Sqrt[105]*lu1^5*f42n[t]*g20[t] + 699553400*Sqrt[105]*lu1^6*f42n[t]*g20[t] + 4269720*Sqrt[10]* f44n[t]*g22[t] + 99648640*Sqrt[10]*lu1*f44n[t]*g22[t] - 535080910*Sqrt[10]*lu1^2*f44n[t]*g22[t] - 29332295720*Sqrt[10]* lu1^3*f44n[t]*g22[t] - 189657925730*Sqrt[10]*lu1^4*f44n[t]* g22[t] - 59841778360*Sqrt[10]*lu1^5*f44n[t]*g22[t] + 81032169400*Sqrt[10]*lu1^6*f44n[t]*g22[t] + 2477475*Sqrt[7*Pi]* g22n[t] - 1651650*lu1*Sqrt[7*Pi]*g22n[t] - 660384725*lu1^2* Sqrt[7*Pi]*g22n[t] - 2168065900*lu1^3*Sqrt[7*Pi]*g22n[t] + 24629404800*lu1^4*Sqrt[7*Pi]*g22n[t] + 70536466000*lu1^5* Sqrt[7*Pi]*g22n[t] + 35565530000*lu1^6*Sqrt[7*Pi]*g22n[t] - 5846100*Sqrt[7]*f40[t]*g22n[t] + 22653150*Sqrt[7]*lu1*f40[t]* g22n[t] + 1141096450*Sqrt[7]*lu1^2*f40[t]*g22n[t] + 3147221350*Sqrt[7]*lu1^3*f40[t]*g22n[t] - 4623081450*Sqrt[7]*lu1^4* f40[t]*g22n[t] - 29456148800*Sqrt[7]*lu1^5*f40[t]*g22n[t] + 15418507000*Sqrt[7]*lu1^6*f40[t]*g22n[t] + 4269720*Sqrt[10]*f44[t]* g22n[t] + 99648640*Sqrt[10]*lu1*f44[t]*g22n[t] - 535080910*Sqrt[10]*lu1^2*f44[t]*g22n[t] - 29332295720*Sqrt[10]* lu1^3*f44[t]*g22n[t] - 189657925730*Sqrt[10]*lu1^4*f44[t]* g22n[t] - 59841778360*Sqrt[10]*lu1^5*f44[t]*g22n[t] + 81032169400*Sqrt[10]*lu1^6*f44[t]*g22n[t] + 595350*Sqrt[21]* f42n[t]*g40[t] - 6648075*Sqrt[21]*lu1*f42n[t]*g40[t] - 92014650*Sqrt[21]*lu1^2*f42n[t]*g40[t] + 478496025*Sqrt[21]*lu1^3* f42n[t]*g40[t] + 1394111250*Sqrt[21]*lu1^4*f42n[t]*g40[t] + 49877100*Sqrt[21]*lu1^5*f42n[t]*g40[t] - 427329000*Sqrt[21]*lu1^6* f42n[t]*g40[t] + 1013880*Sqrt[30]*f44n[t]*g42[t] - 130480*Sqrt[30]*lu1*f44n[t]*g42[t] - 391031550*Sqrt[30]*lu1^2* f44n[t]*g42[t] - 217987280*Sqrt[30]*lu1^3*f44n[t]*g42[t] + 30597834470*Sqrt[30]*lu1^4*f44n[t]*g42[t] + 36836709000*Sqrt[30]* lu1^5*f44n[t]*g42[t] - 26016137000*Sqrt[30]*lu1^6*f44n[t]* g42[t] - 135135*Sqrt[21*Pi]*g42n[t] + 90090*lu1*Sqrt[21*Pi]* g42n[t] + 36020985*lu1^2*Sqrt[21*Pi]*g42n[t] + 118258140*lu1^3*Sqrt[21*Pi]*g42n[t] - 1343422080*lu1^4*Sqrt[21*Pi]* g42n[t] - 3847443600*lu1^5*Sqrt[21*Pi]*g42n[t] - 1939938000*lu1^6*Sqrt[21*Pi]*g42n[t] + 3533100*Sqrt[21]*f40[t]* g42n[t] - 23394050*Sqrt[21]*lu1*f40[t]*g42n[t] - 721533150*Sqrt[21]*lu1^2*f40[t]*g42n[t] + 397395950*Sqrt[21]*lu1^3* f40[t]*g42n[t] + 20159752750*Sqrt[21]*lu1^4*f40[t]*g42n[t] + 25781808000*Sqrt[21]*lu1^5*f40[t]*g42n[t] - 17934745000*Sqrt[21]* lu1^6*f40[t]*g42n[t] + 1013880*Sqrt[30]*f44[t]*g42n[t] - 130480*Sqrt[30]*lu1*f44[t]*g42n[t] - 391031550*Sqrt[30]*lu1^2* f44[t]*g42n[t] - 217987280*Sqrt[30]*lu1^3*f44[t]*g42n[t] + 30597834470*Sqrt[30]*lu1^4*f44[t]*g42n[t] + 36836709000*Sqrt[30]* lu1^5*f44[t]*g42n[t] - 26016137000*Sqrt[30]*lu1^6*f44[t]* g42n[t] + 5*Sqrt[35]*(18 - 111*lu1 - 25*lu1^2 + 38*lu1^3)*f20[t]* (45045*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)*f22n[t] + 14*Sqrt[3]*(7633 - 79445*lu1 + 625808*lu1^2 + 3260660*lu1^3)* f42n[t] - 429*(1 + 10*lu1)^2*(-1 + 17*lu1)*(55*g22n[t] - 3* Sqrt[3]*g42n[t])) - 2386650*Sqrt[30]*f42n[t]*g44[t] + 7832125*Sqrt[30]*lu1*f42n[t]*g44[t] + 387755550*Sqrt[30]*lu1^2* f42n[t]*g44[t] + 2058902825*Sqrt[30]*lu1^3*f42n[t]*g44[t] + 13715746450*Sqrt[30]*lu1^4*f42n[t]*g44[t] + 1586102700*Sqrt[30]* lu1^5*f42n[t]*g44[t] - 4503793000*Sqrt[30]*lu1^6*f42n[t]*g44[t] - 70*(-2 + lu1)*f22n[t]*(5*Sqrt[7]*(21654 - 649709*lu1 + 9050000* lu1^2 + 11792241*lu1^3 - 14233394*lu1^4 + 7852520*lu1^5)* f40[t] + 3*Sqrt[10]*(7*(16426 - 2691675*lu1 - 24617388*lu1^2 + 101725035*lu1^3 + 467659066*lu1^4 + 266391320*lu1^5)* f44[t] + 429*(1 + 10*lu1)^2*(9 - 204*lu1 + 829*lu1^2 + 646*lu1^3)*g44[t])) - 8324316*Sqrt[10]*f22[t]*g44n[t] + 9711702*Sqrt[10]*lu1*f22[t]*g44n[t] + 2216117904*Sqrt[10]*lu1^2* f22[t]*g44n[t] + 6175255086*Sqrt[10]*lu1^3*f22[t]*g44n[t] - 86397150840*Sqrt[10]*lu1^4*f22[t]*g44n[t] - 195625125696*Sqrt[10]* lu1^5*f22[t]*g44n[t] - 998917920*Sqrt[10]*lu1^6*f22[t]*g44n[t] + 59750090400*Sqrt[10]*lu1^7*f22[t]*g44n[t] + 4414410*Sqrt[30]* f42[t]*g44n[t] - 8093085*Sqrt[30]*lu1*f42[t]*g44n[t] - 1169818650*Sqrt[30]*lu1^2*f42[t]*g44n[t] - 2494877385*Sqrt[30]* lu1^3*f42[t]*g44n[t] + 47479922490*Sqrt[30]*lu1^4*f42[t]* g44n[t] + 72087315300*Sqrt[30]*lu1^5*f42[t]*g44n[t] - 47528481000*Sqrt[30]*lu1^6*f42[t]*g44n[t])))/ (231231*(-9 + 51*lu1 + 38*lu1^2)*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)^2* Pi) eqG44nf = (mar*(56698379342280*Sqrt[210]*f22n[t]*f40[t]*f42[t] - 4179829999281300*Sqrt[210]*lu1*f22n[t]*f40[t]*f42[t] - 41796501539371020*Sqrt[210]*lu1^2*f22n[t]*f40[t]*f42[t] + 8039459693191607460*Sqrt[210]*lu1^3*f22n[t]*f40[t]*f42[t] - 123977984087385324780*Sqrt[210]*lu1^4*f22n[t]*f40[t]*f42[t] - 1297506105234896362260*Sqrt[210]*lu1^5*f22n[t]*f40[t]*f42[t] + 31866886628919527687580*Sqrt[210]*lu1^6*f22n[t]*f40[t]*f42[t] - 15896720731081841276340*Sqrt[210]*lu1^7*f22n[t]*f40[t]*f42[t] + 399199831267072997396820*Sqrt[210]*lu1^8*f22n[t]*f40[t]*f42[t] + 4225277038033946883251640*Sqrt[210]*lu1^9*f22n[t]*f40[t]*f42[t] - 48386248486997087934359040*Sqrt[210]*lu1^10*f22n[t]*f40[t]*f42[t] - 265067835227857814091987840*Sqrt[210]*lu1^11*f22n[t]*f40[t]*f42[t] - 350471072990459938476024000*Sqrt[210]*lu1^12*f22n[t]*f40[t]*f42[t] + 17454582816472262453116800*Sqrt[210]*lu1^13*f22n[t]*f40[t]*f42[t] + 179290223003921581441344000*Sqrt[210]*lu1^14*f22n[t]*f40[t]*f42[t] + 6294540755014944606720000*Sqrt[210]*lu1^15*f22n[t]*f40[t]*f42[t] + 119254364282736*Sqrt[70]*f40[t]*f42[t]*f42n[t] - 7962361276370400*Sqrt[70]*lu1*f40[t]*f42[t]*f42n[t] + 5513529215271168*Sqrt[70]*lu1^2*f40[t]*f42[t]*f42n[t] + 16353131992541336736*Sqrt[70]*lu1^3*f40[t]*f42[t]*f42n[t] - 742457349713172446496*Sqrt[70]*lu1^4*f40[t]*f42[t]*f42n[t] + 329161895054158875552*Sqrt[70]*lu1^5*f40[t]*f42[t]*f42n[t] + 240501927439779591442752*Sqrt[70]*lu1^6*f40[t]*f42[t]*f42n[t] - 427303784134413931520160*Sqrt[70]*lu1^7*f40[t]*f42[t]*f42n[t] - 15167250873851207969767248*Sqrt[70]*lu1^8*f40[t]*f42[t]*f42n[t] + 5453500751472114857348928*Sqrt[70]*lu1^9*f40[t]*f42[t]*f42n[t] + 308902534574105135261499840*Sqrt[70]*lu1^10*f40[t]*f42[t]*f42n[t] + 386410119167127501025668864*Sqrt[70]*lu1^11*f40[t]*f42[t]*f42n[t] - 1063751124700332261656946432*Sqrt[70]*lu1^12*f40[t]*f42[t]*f42n[t] - 2322024243748437910585328640*Sqrt[70]*lu1^13*f40[t]*f42[t]*f42n[t] - 1305558795714383937531571200*Sqrt[70]*lu1^14*f40[t]*f42[t]*f42n[t] - 190540236031446860536320000*Sqrt[70]*lu1^15*f40[t]*f42[t]*f42n[t] + 108968280417360*Sqrt[3]*f22n[t]*f42[t]*f44[t] - 5427976925334600*Sqrt[3]*lu1*f22n[t]*f42[t]*f44[t] - 274888206140216760*Sqrt[3]*lu1^2*f22n[t]*f42[t]*f44[t] + 8669503131096061800*Sqrt[3]*lu1^3*f22n[t]*f42[t]*f44[t] + 205666094063475219720*Sqrt[3]*lu1^4*f22n[t]*f42[t]*f44[t] + 4369734125043913462200*Sqrt[3]*lu1^5*f22n[t]*f42[t]*f44[t] - 35260523778228467158440*Sqrt[3]*lu1^6*f22n[t]*f42[t]*f44[t] - 2052124574107261862524680*Sqrt[3]*lu1^7*f22n[t]*f42[t]*f44[t] - 2422989078872968207438200*Sqrt[3]*lu1^8*f22n[t]*f42[t]*f44[t] + 140494207948773180412987440*Sqrt[3]*lu1^9*f22n[t]*f42[t]*f44[t] + 1763648099358271070726396160*Sqrt[3]*lu1^10*f22n[t]*f42[t]*f44[t] + 739718179562161650122737920*Sqrt[3]*lu1^11*f22n[t]*f42[t]*f44[t] - 9213025335397536700461697920*Sqrt[3]*lu1^12*f22n[t]*f42[t]*f44[t] - 10592893726080952252660512000*Sqrt[3]*lu1^13*f22n[t]*f42[t]*f44[t] - 1913080584678789761848704000*Sqrt[3]*lu1^14*f22n[t]*f42[t]*f44[t] - 1208929528244854857692160000*Sqrt[3]*lu1^15*f22n[t]*f42[t]*f44[t] - 292816362564180*f22n[t]^2*f44n[t] + 25448581535619060*lu1*f22n[t]^2* f44n[t] + 54778424641324020*lu1^2*f22n[t]^2*f44n[t] - 50843365046244667260*lu1^3*f22n[t]^2*f44n[t] + 952748722905607309500* lu1^4*f22n[t]^2*f44n[t] + 11350059165097210800060*lu1^5*f22n[t]^2* f44n[t] - 242924335847817097566820*lu1^6*f22n[t]^2*f44n[t] - 1495707788550879670346580*lu1^7*f22n[t]^2*f44n[t] + 2115741888095500489795880*lu1^8*f22n[t]^2*f44n[t] + 192314617414811125752408800*lu1^9*f22n[t]^2*f44n[t] + 1946804752261236704800876640*lu1^10*f22n[t]^2*f44n[t] + 1753522626107994788989517120*lu1^11*f22n[t]^2*f44n[t] - 12201207810280534605740019840*lu1^12*f22n[t]^2*f44n[t] - 20910514506990798435770752000*lu1^13*f22n[t]^2*f44n[t] - 6275159261238948807085632000*lu1^14*f22n[t]^2*f44n[t] + 1493656720031586152689920000*lu1^15*f22n[t]^2*f44n[t] - 1577113064076060*f40[t]^2*f44n[t] + 67471691498186220*lu1*f40[t]^2* f44n[t] + 1271524816289882700*lu1^2*f40[t]^2*f44n[t] - 53807067715455007380*lu1^3*f40[t]^2*f44n[t] + 3537048744724872932100* lu1^4*f40[t]^2*f44n[t] - 70611158591692245382380*lu1^5*f40[t]^2* f44n[t] - 522853376038659436648220*lu1^6*f40[t]^2*f44n[t] + 8029220385335018061837540*lu1^7*f40[t]^2*f44n[t] - 43177661150414923134127160*lu1^8*f40[t]^2*f44n[t] + 266035337958168841952537200*lu1^9*f40[t]^2*f44n[t] + 730683088863374897939358880*lu1^10*f40[t]^2*f44n[t] - 5257352947555740841745539520*lu1^11*f40[t]^2*f44n[t] - 18495124123043228481987707520*lu1^12*f40[t]^2*f44n[t] - 19721899151911611806263750400*lu1^13*f40[t]^2*f44n[t] - 6926963161657043115559872000*lu1^14*f40[t]^2*f44n[t] - 224220944074378401964800000*lu1^15*f40[t]^2*f44n[t] - 2319445578172968*f42[t]^2*f44n[t] + 79206854061779640*lu1*f42[t]^2* f44n[t] + 2581644337086663576*lu1^2*f42[t]^2*f44n[t] + 6857788516879342392*lu1^3*f42[t]^2*f44n[t] + 1876896041457538738728* lu1^4*f42[t]^2*f44n[t] - 138918183918005378635896*lu1^5*f42[t]^2* f44n[t] + 637806740001138266802824*lu1^6*f42[t]^2*f44n[t] + 13067314281729138603033960*lu1^7*f42[t]^2*f44n[t] - 192526078417788302056625056*lu1^8*f42[t]^2*f44n[t] + 570245181176642487906516896*lu1^9*f42[t]^2*f44n[t] + 3623683919745485742709216640*lu1^10*f42[t]^2*f44n[t] - 7809835060941589176311396992*lu1^11*f42[t]^2*f44n[t] - 44436506118988782795574040064*lu1^12*f42[t]^2*f44n[t] - 55697968010062288986624801280*lu1^13*f42[t]^2*f44n[t] - 22992837893314773793840742400*lu1^14*f42[t]^2*f44n[t] - 1782223540368884827683840000*lu1^15*f42[t]^2*f44n[t] + 1109853101054880*Sqrt[3]*f22n[t]*f42n[t]*f44n[t] - 68840699056529400*Sqrt[3]*lu1*f22n[t]*f42n[t]*f44n[t] - 1171841346581167080*Sqrt[3]*lu1^2*f22n[t]*f42n[t]*f44n[t] + 125728745061890388600*Sqrt[3]*lu1^3*f22n[t]*f42n[t]*f44n[t] - 1911644019877085424840*Sqrt[3]*lu1^4*f22n[t]*f42n[t]*f44n[t] - 15481211172325252263000*Sqrt[3]*lu1^5*f22n[t]*f42n[t]*f44n[t] + 570354212898953457691080*Sqrt[3]*lu1^6*f22n[t]*f42n[t]*f44n[t] - 214730636373613082999640*Sqrt[3]*lu1^7*f22n[t]*f42n[t]*f44n[t] + 28507570938021607253257800*Sqrt[3]*lu1^8*f22n[t]*f42n[t]*f44n[t] - 308683745037928011442825680*Sqrt[3]*lu1^9*f22n[t]*f42n[t]*f44n[t] - 4402908366435890492897089920*Sqrt[3]*lu1^10*f22n[t]*f42n[t]*f44n[t] - 7842118502557623029269655040*Sqrt[3]*lu1^11*f22n[t]*f42n[t]*f44n[t] + 4237111597929460931346906240*Sqrt[3]*lu1^12*f22n[t]*f42n[t]*f44n[t] + 16061935081068249941139936000*Sqrt[3]*lu1^13*f22n[t]*f42n[t]* f44n[t] + 9168823361676457378343808000*Sqrt[3]*lu1^14*f22n[t]* f42n[t]*f44n[t] + 1889212168469175879813120000*Sqrt[3]*lu1^15* f22n[t]*f42n[t]*f44n[t] - 2319445578172968*f42n[t]^2*f44n[t] + 79206854061779640*lu1*f42n[t]^2*f44n[t] + 2581644337086663576*lu1^2* f42n[t]^2*f44n[t] + 6857788516879342392*lu1^3*f42n[t]^2*f44n[t] + 1876896041457538738728*lu1^4*f42n[t]^2*f44n[t] - 138918183918005378635896*lu1^5*f42n[t]^2*f44n[t] + 637806740001138266802824*lu1^6*f42n[t]^2*f44n[t] + 13067314281729138603033960*lu1^7*f42n[t]^2*f44n[t] - 192526078417788302056625056*lu1^8*f42n[t]^2*f44n[t] + 570245181176642487906516896*lu1^9*f42n[t]^2*f44n[t] + 3623683919745485742709216640*lu1^10*f42n[t]^2*f44n[t] - 7809835060941589176311396992*lu1^11*f42n[t]^2*f44n[t] - 44436506118988782795574040064*lu1^12*f42n[t]^2*f44n[t] - 55697968010062288986624801280*lu1^13*f42n[t]^2*f44n[t] - 22992837893314773793840742400*lu1^14*f42n[t]^2*f44n[t] - 1782223540368884827683840000*lu1^15*f42n[t]^2*f44n[t] - 928144661541048*f44[t]^2*f44n[t] - 13687360829208360*lu1*f44[t]^2* f44n[t] + 2645968844598160536*lu1^2*f44[t]^2*f44n[t] + 197644328429861604312*lu1^3*f44[t]^2*f44n[t] - 6785106371862806470392* lu1^4*f44[t]^2*f44n[t] - 135077961809040191754456*lu1^5*f44[t]^2* f44n[t] + 3443662560131900166968264*lu1^6*f44[t]^2*f44n[t] + 8082103466827642735298760*lu1^7*f44[t]^2*f44n[t] - 369477338612719061703909616*lu1^8*f44[t]^2*f44n[t] + 633869356610483827908921056*lu1^9*f44[t]^2*f44n[t] + 7227546823110045654093381440*lu1^10*f44[t]^2*f44n[t] - 3301717003991768331011926912*lu1^11*f44[t]^2*f44n[t] - 56846935907159325848238415104*lu1^12*f44[t]^2*f44n[t] - 82788250853794064610120302080*lu1^13*f44[t]^2*f44n[t] - 38224357176649253065042406400*lu1^14*f44[t]^2*f44n[t] - 4005192960735764867274240000*lu1^15*f44[t]^2*f44n[t] - 928144661541048*f44n[t]^3 - 13687360829208360*lu1*f44n[t]^3 + 2645968844598160536*lu1^2*f44n[t]^3 + 197644328429861604312*lu1^3* f44n[t]^3 - 6785106371862806470392*lu1^4*f44n[t]^3 - 135077961809040191754456*lu1^5*f44n[t]^3 + 3443662560131900166968264* lu1^6*f44n[t]^3 + 8082103466827642735298760*lu1^7*f44n[t]^3 - 369477338612719061703909616*lu1^8*f44n[t]^3 + 633869356610483827908921056*lu1^9*f44n[t]^3 + 7227546823110045654093381440*lu1^10*f44n[t]^3 - 3301717003991768331011926912*lu1^11*f44n[t]^3 - 56846935907159325848238415104*lu1^12*f44n[t]^3 - 82788250853794064610120302080*lu1^13*f44n[t]^3 - 38224357176649253065042406400*lu1^14*f44n[t]^3 - 4005192960735764867274240000*lu1^15*f44n[t]^3 + 2395991566800*Sqrt[42]*f22n[t]*f42[t]*g20[t] - 481633854322140*Sqrt[42]*lu1*f22n[t]*f42[t]*g20[t] + 8209994196343680*Sqrt[42]*lu1^2*f22n[t]*f42[t]*g20[t] + 1276236694106800920*Sqrt[42]*lu1^3*f22n[t]*f42[t]*g20[t] - 27914509322888195280*Sqrt[42]*lu1^4*f22n[t]*f42[t]*g20[t] - 801866978604880256640*Sqrt[42]*lu1^5*f22n[t]*f42[t]*g20[t] + 13384536031062777979840*Sqrt[42]*lu1^6*f22n[t]*f42[t]*g20[t] + 181972719805557222492600*Sqrt[42]*lu1^7*f22n[t]*f42[t]*g20[t] - 1432234177797019414806560*Sqrt[42]*lu1^8*f22n[t]*f42[t]*g20[t] - 17734303509992331761928260*Sqrt[42]*lu1^9*f22n[t]*f42[t]*g20[t] - 18641557084236395527880480*Sqrt[42]*lu1^10*f22n[t]*f42[t]*g20[t] + 94053970198459444804593040*Sqrt[42]*lu1^11*f22n[t]*f42[t]*g20[t] + 91431375705068319581306880*Sqrt[42]*lu1^12*f22n[t]*f42[t]*g20[t] - 359198479255944998934180800*Sqrt[42]*lu1^13*f22n[t]*f42[t]*g20[t] - 572076586875924001190592000*Sqrt[42]*lu1^14*f22n[t]*f42[t]*g20[t] - 197691501504158528499360000*Sqrt[42]*lu1^15*f22n[t]*f42[t]*g20[t] - 11762036430300*Sqrt[14]*f42[t]*f42n[t]*g20[t] + 1165383846141840*Sqrt[14]*lu1*f42[t]*f42n[t]*g20[t] - 8754278328843840*Sqrt[14]*lu1^2*f42[t]*f42n[t]*g20[t] - 2312781394996790640*Sqrt[14]*lu1^3*f42[t]*f42n[t]*g20[t] + 71082994908688078680*Sqrt[14]*lu1^4*f42[t]*f42n[t]*g20[t] + 527562097757480008080*Sqrt[14]*lu1^5*f42[t]*f42n[t]*g20[t] - 38300194930870977296400*Sqrt[14]*lu1^6*f42[t]*f42n[t]*g20[t] - 235368044010181343261520*Sqrt[14]*lu1^7*f42[t]*f42n[t]*g20[t] + 5214987714618490815005220*Sqrt[14]*lu1^8*f42[t]*f42n[t]*g20[t] + 59584800729602263231265760*Sqrt[14]*lu1^9*f42[t]*f42n[t]*g20[t] + 231359560661756291016011760*Sqrt[14]*lu1^10*f42[t]*f42n[t]*g20[t] + 551567353592887784074952640*Sqrt[14]*lu1^11*f42[t]*f42n[t]*g20[t] + 631018761485392495453417920*Sqrt[14]*lu1^12*f42[t]*f42n[t]*g20[t] - 242790188371676975954995200*Sqrt[14]*lu1^13*f42[t]*f42n[t]*g20[t] - 690394465036509831692640000*Sqrt[14]*lu1^14*f42[t]*f42n[t]*g20[t] - 21043393375668677919360000*Sqrt[14]*lu1^15*f42[t]*f42n[t]*g20[t] + 23579043251400*Sqrt[5]*f40[t]*f44n[t]*g20[t] + 4556879957710080*Sqrt[5]*lu1*f40[t]*f44n[t]*g20[t] - 276180567210999360*Sqrt[5]*lu1^2*f40[t]*f44n[t]*g20[t] - 12613169986672338720*Sqrt[5]*lu1^3*f40[t]*f44n[t]*g20[t] + 485738779430634715440*Sqrt[5]*lu1^4*f40[t]*f44n[t]*g20[t] + 8226727637364916112160*Sqrt[5]*lu1^5*f40[t]*f44n[t]*g20[t] - 180048161580477658584480*Sqrt[5]*lu1^6*f40[t]*f44n[t]*g20[t] - 2279943858350350068720480*Sqrt[5]*lu1^7*f40[t]*f44n[t]*g20[t] + 15067777232980159927653960*Sqrt[5]*lu1^8*f40[t]*f44n[t]*g20[t] + 246042220527648223993248480*Sqrt[5]*lu1^9*f40[t]*f44n[t]*g20[t] + 778870186046848387747775520*Sqrt[5]*lu1^10*f40[t]*f44n[t]*g20[t] + 573559262240287163426651520*Sqrt[5]*lu1^11*f40[t]*f44n[t]*g20[t] - 493786543485353786010645120*Sqrt[5]*lu1^12*f40[t]*f44n[t]*g20[t] - 300514385110690995826982400*Sqrt[5]*lu1^13*f40[t]*f44n[t]*g20[t] + 496288560735073532776896000*Sqrt[5]*lu1^14*f40[t]*f44n[t]*g20[t] + 286751082804302669978880000*Sqrt[5]*lu1^15*f40[t]*f44n[t]*g20[t] + 177938446140*f44n[t]*g20[t]^2 + 121649689652400*lu1*f44n[t]* g20[t]^2 - 5678834547204000*lu1^2*f44n[t]*g20[t]^2 - 330534255117109680*lu1^3*f44n[t]*g20[t]^2 + 11924046206808339240* lu1^4*f44n[t]*g20[t]^2 + 211004309269396078800*lu1^5*f44n[t]* g20[t]^2 - 5680113378468230294320*lu1^6*f44n[t]*g20[t]^2 - 52429064851485593653200*lu1^7*f44n[t]*g20[t]^2 + 799364879709276746569340*lu1^8*f44n[t]*g20[t]^2 + 6195752196092985121930880*lu1^9*f44n[t]*g20[t]^2 - 20979524306818893452487760*lu1^10*f44n[t]*g20[t]^2 - 162675994086454025012967040*lu1^11*f44n[t]*g20[t]^2 - 226317295634009683631236800*lu1^12*f44n[t]*g20[t]^2 + 109980997384639139822336000*lu1^13*f44n[t]*g20[t]^2 + 386861626727735863485600000*lu1^14*f44n[t]*g20[t]^2 + 170845870408896664800000000*lu1^15*f44n[t]*g20[t]^2 - 347348855880*Sqrt[70]*f22n[t]*f40[t]*g22[t] - 271807203341700*Sqrt[70]*lu1*f22n[t]*f40[t]*g22[t] + 10486033675682760*Sqrt[70]*lu1^2*f22n[t]*f40[t]*g22[t] + 781424812101117600*Sqrt[70]*lu1^3*f22n[t]*f40[t]*g22[t] - 20378099375403463200*Sqrt[70]*lu1^4*f22n[t]*f40[t]*g22[t] - 520009064656223620920*Sqrt[70]*lu1^5*f22n[t]*f40[t]*g22[t] + 8002565827020345341280*Sqrt[70]*lu1^6*f22n[t]*f40[t]*g22[t] + 83196039763285231663920*Sqrt[70]*lu1^7*f22n[t]*f40[t]*g22[t] - 548263444342835074752600*Sqrt[70]*lu1^8*f22n[t]*f40[t]*g22[t] - 3215214913248264600300900*Sqrt[70]*lu1^9*f22n[t]*f40[t]*g22[t] + 3614100439965463144558680*Sqrt[70]*lu1^10*f22n[t]*f40[t]*g22[t] + 30050536446009883022303760*Sqrt[70]*lu1^11*f22n[t]*f40[t]*g22[t] - 3296018557744856072001600*Sqrt[70]*lu1^12*f22n[t]*f40[t]*g22[t] - 161874460052545916608171200*Sqrt[70]*lu1^13*f22n[t]*f40[t]*g22[t] - 193306574171092840073616000*Sqrt[70]*lu1^14*f22n[t]*f40[t]*g22[t] - 45033090127791716190240000*Sqrt[70]*lu1^15*f22n[t]*f40[t]*g22[t] - 2745211435200*Sqrt[210]*f40[t]*f42n[t]*g22[t] + 953730114201540*Sqrt[210]*lu1*f40[t]*f42n[t]*g22[t] - 20899771431888960*Sqrt[210]*lu1^2*f40[t]*f42n[t]*g22[t] - 2486755902394647000*Sqrt[210]*lu1^3*f40[t]*f42n[t]*g22[t] + 47722586268911073000*Sqrt[210]*lu1^4*f40[t]*f42n[t]*g22[t] + 1377957869786773576080*Sqrt[210]*lu1^5*f40[t]*f42n[t]*g22[t] - 11268235469435336272920*Sqrt[210]*lu1^6*f40[t]*f42n[t]*g22[t] - 238838806269906847279080*Sqrt[210]*lu1^7*f40[t]*f42n[t]*g22[t] - 271224122731649834939400*Sqrt[210]*lu1^8*f40[t]*f42n[t]*g22[t] + 5669917724833361392805100*Sqrt[210]*lu1^9*f40[t]*f42n[t]*g22[t] + 37902198571751479616010360*Sqrt[210]*lu1^10*f40[t]*f42n[t]*g22[t] + 139319095964174181046929600*Sqrt[210]*lu1^11*f40[t]*f42n[t]*g22[t] + 196693618143722998616086080*Sqrt[210]*lu1^12*f40[t]*f42n[t]*g22[t] - 21585269581796147967355200*Sqrt[210]*lu1^13*f40[t]*f42n[t]*g22[t] - 173927528536066780924176000*Sqrt[210]*lu1^14*f40[t]*f42n[t]*g22[t] - 52133000788251275780160000*Sqrt[210]*lu1^15*f40[t]*f42n[t]*g22[t] + 81098925977160*f22n[t]*f44[t]*g22[t] - 5331109251195000*lu1*f22n[t]* f44[t]*g22[t] - 158353623503908560*lu1^2*f22n[t]*f44[t]*g22[t] + 13950016147697207760*lu1^3*f22n[t]*f44[t]*g22[t] + 5950727850583654320*lu1^4*f22n[t]*f44[t]*g22[t] - 9265373344246671069600*lu1^5*f22n[t]*f44[t]*g22[t] + 31270826574933929998560*lu1^6*f22n[t]*f44[t]*g22[t] + 1989378003156961190351760*lu1^7*f22n[t]*f44[t]*g22[t] - 1962730226011821738533880*lu1^8*f22n[t]*f44[t]*g22[t] - 154556120404995003481473960*lu1^9*f22n[t]*f44[t]*g22[t] - 376855154529455528962548240*lu1^10*f22n[t]*f44[t]*g22[t] + 845856426959031871282929120*lu1^11*f22n[t]*f44[t]*g22[t] - 237073739671294994262762240*lu1^12*f22n[t]*f44[t]*g22[t] - 9081650085391841475607689600*lu1^13*f22n[t]*f44[t]*g22[t] - 12249614382553438847253024000*lu1^14*f22n[t]*f44[t]*g22[t] - 4176497493477016739478720000*lu1^15*f22n[t]*f44[t]*g22[t] + 96562075428000*Sqrt[3]*f42n[t]*f44[t]*g22[t] + 1037380750038360*Sqrt[3]*lu1*f42n[t]*f44[t]*g22[t] - 427593335161224960*Sqrt[3]*lu1^2*f42n[t]*f44[t]*g22[t] - 6426159199957420560*Sqrt[3]*lu1^3*f42n[t]*f44[t]*g22[t] + 527625061001543734320*Sqrt[3]*lu1^4*f42n[t]*f44[t]*g22[t] + 8381680911590506621920*Sqrt[3]*lu1^5*f42n[t]*f44[t]*g22[t] - 188355062296436262973200*Sqrt[3]*lu1^6*f42n[t]*f44[t]*g22[t] - 2713050483853904004436080*Sqrt[3]*lu1^7*f42n[t]*f44[t]*g22[t] + 15176860815450492105008880*Sqrt[3]*lu1^8*f42n[t]*f44[t]*g22[t] + 280249889402867053656135240*Sqrt[3]*lu1^9*f42n[t]*f44[t]*g22[t] + 661078145588948076348799440*Sqrt[3]*lu1^10*f42n[t]*f44[t]*g22[t] - 1219024578974556068487776640*Sqrt[3]*lu1^11*f42n[t]*f44[t]*g22[t] - 3868646118484858218084769920*Sqrt[3]*lu1^12*f42n[t]*f44[t]*g22[t] + 255049740538883957387011200*Sqrt[3]*lu1^13*f42n[t]*f44[t]*g22[t] + 3952132812529822630688160000*Sqrt[3]*lu1^14*f42n[t]*f44[t]*g22[t] + 882257837566969402680960000*Sqrt[3]*lu1^15*f42n[t]*f44[t]*g22[t] + 76222644170400*Sqrt[3]*f42[t]*f44n[t]*g22[t] + 16308561089850120*Sqrt[3]*lu1*f42[t]*f44n[t]*g22[t] - 912456202025833920*Sqrt[3]*lu1^2*f42[t]*f44n[t]*g22[t] - 45846710890085916720*Sqrt[3]*lu1^3*f42[t]*f44n[t]*g22[t] + 1569348193244418809040*Sqrt[3]*lu1^4*f42[t]*f44n[t]*g22[t] + 30290000819032500567840*Sqrt[3]*lu1^5*f42[t]*f44n[t]*g22[t] - 533151502595220802566000*Sqrt[3]*lu1^6*f42[t]*f44n[t]*g22[t] - 7588284602517000070612560*Sqrt[3]*lu1^7*f42[t]*f44n[t]*g22[t] + 35825416014564017063236560*Sqrt[3]*lu1^8*f42[t]*f44n[t]*g22[t] + 671898809830563504564200280*Sqrt[3]*lu1^9*f42[t]*f44n[t]*g22[t] + 2153594834890431170982023280*Sqrt[3]*lu1^10*f42[t]*f44n[t]*g22[t] + 1512839906742515559937921920*Sqrt[3]*lu1^11*f42[t]*f44n[t]*g22[t] - 1545040819207075690751072640*Sqrt[3]*lu1^12*f42[t]*f44n[t]*g22[t] - 624600787024513048731945600*Sqrt[3]*lu1^13*f42[t]*f44n[t]*g22[t] + 1751150827982590914428640000*Sqrt[3]*lu1^14*f42[t]*f44n[t]*g22[t] + 649700078874331110837120000*Sqrt[3]*lu1^15*f42[t]*f44n[t]*g22[t] - 68770182195*Sqrt[14]*f22n[t]*g20[t]*g22[t] - 7827321535605*Sqrt[14]* lu1*f22n[t]*g20[t]*g22[t] + 658638042886395*Sqrt[14]*lu1^2*f22n[t]* g20[t]*g22[t] + 21987135613363635*Sqrt[14]*lu1^3*f22n[t]*g20[t]* g22[t] - 1264800843035659215*Sqrt[14]*lu1^4*f22n[t]*g20[t]*g22[t] - 14160528529928083875*Sqrt[14]*lu1^5*f22n[t]*g20[t]*g22[t] + 704430272282512217585*Sqrt[14]*lu1^6*f22n[t]*g20[t]*g22[t] + 2899480114380345246465*Sqrt[14]*lu1^7*f22n[t]*g20[t]*g22[t] - 129365166746145941254930*Sqrt[14]*lu1^8*f22n[t]*g20[t]*g22[t] - 450561708926984796950380*Sqrt[14]*lu1^9*f22n[t]*g20[t]*g22[t] + 7880530074221567562679880*Sqrt[14]*lu1^10*f22n[t]*g20[t]*g22[t] + 37395119579324788101289040*Sqrt[14]*lu1^11*f22n[t]*g20[t]*g22[t] + 1083187121863133622535200*Sqrt[14]*lu1^12*f22n[t]*g20[t]*g22[t] - 148023897775503990810856000*Sqrt[14]*lu1^13*f22n[t]*g20[t]*g22[t] - 188747651388209226833520000*Sqrt[14]*lu1^14*f22n[t]*g20[t]*g22[t] - 69377892975874720036800000*Sqrt[14]*lu1^15*f22n[t]*g20[t]*g22[t] + 290175836535*Sqrt[42]*f42n[t]*g20[t]*g22[t] + 5445954548775*Sqrt[42]* lu1*f42n[t]*g20[t]*g22[t] - 1675050561772965*Sqrt[42]*lu1^2*f42n[t]* g20[t]*g22[t] - 10212192204063525*Sqrt[42]*lu1^3*f42n[t]*g20[t]* g22[t] + 2480758864653513405*Sqrt[42]*lu1^4*f42n[t]*g20[t]*g22[t] - 3267529579896404355*Sqrt[42]*lu1^5*f42n[t]*g20[t]*g22[t] - 1019743728391333425415*Sqrt[42]*lu1^6*f42n[t]*g20[t]*g22[t] + 322835342303234311785*Sqrt[42]*lu1^7*f42n[t]*g20[t]*g22[t] + 171879956588029872221000*Sqrt[42]*lu1^8*f42n[t]*g20[t]*g22[t] + 435723128786234629341560*Sqrt[42]*lu1^9*f42n[t]*g20[t]*g22[t] - 10172930379069057762307600*Sqrt[42]*lu1^10*f42n[t]*g20[t]*g22[t] - 61072719465458323209726880*Sqrt[42]*lu1^11*f42n[t]*g20[t]*g22[t] - 96718905343656063151057920*Sqrt[42]*lu1^12*f42n[t]*g20[t]*g22[t] + 30116114666302068575350400*Sqrt[42]*lu1^13*f42n[t]*g20[t]*g22[t] + 133424709380752367532864000*Sqrt[42]*lu1^14*f42n[t]*g20[t]*g22[t] + 45510735912704858184480000*Sqrt[42]*lu1^15*f42n[t]*g20[t]*g22[t] - 2291272327890*f44n[t]*g22[t]^2 + 417413624969250*lu1*f44n[t]* g22[t]^2 - 10622700836035470*lu1^2*f44n[t]*g22[t]^2 - 863805273217360110*lu1^3*f44n[t]*g22[t]^2 + 31736863524249917670* lu1^4*f44n[t]*g22[t]^2 + 211465752606430868910*lu1^5*f44n[t]* g22[t]^2 - 12807430002809126567610*lu1^6*f44n[t]*g22[t]^2 - 36922678945411025918970*lu1^7*f44n[t]*g22[t]^2 + 2048394427030001481374580*lu1^8*f44n[t]*g22[t]^2 + 8807323955943051011567640*lu1^9*f44n[t]*g22[t]^2 - 113857020124265117599710720*lu1^10*f44n[t]*g22[t]^2 - 892573298223264440133361920*lu1^11*f44n[t]*g22[t]^2 - 1956805136478832561000148160*lu1^12*f44n[t]*g22[t]^2 - 673097037845069650746460800*lu1^13*f44n[t]*g22[t]^2 + 1649622150075292787127552000*lu1^14*f44n[t]*g22[t]^2 + 1064421094373287673480640000*lu1^15*f44n[t]*g22[t]^2 - 2745211435200*Sqrt[210]*f40[t]*f42[t]*g22n[t] + 953730114201540*Sqrt[210]*lu1*f40[t]*f42[t]*g22n[t] - 20899771431888960*Sqrt[210]*lu1^2*f40[t]*f42[t]*g22n[t] - 2486755902394647000*Sqrt[210]*lu1^3*f40[t]*f42[t]*g22n[t] + 47722586268911073000*Sqrt[210]*lu1^4*f40[t]*f42[t]*g22n[t] + 1377957869786773576080*Sqrt[210]*lu1^5*f40[t]*f42[t]*g22n[t] - 11268235469435336272920*Sqrt[210]*lu1^6*f40[t]*f42[t]*g22n[t] - 238838806269906847279080*Sqrt[210]*lu1^7*f40[t]*f42[t]*g22n[t] - 271224122731649834939400*Sqrt[210]*lu1^8*f40[t]*f42[t]*g22n[t] + 5669917724833361392805100*Sqrt[210]*lu1^9*f40[t]*f42[t]*g22n[t] + 37902198571751479616010360*Sqrt[210]*lu1^10*f40[t]*f42[t]*g22n[t] + 139319095964174181046929600*Sqrt[210]*lu1^11*f40[t]*f42[t]*g22n[t] + 196693618143722998616086080*Sqrt[210]*lu1^12*f40[t]*f42[t]*g22n[t] - 21585269581796147967355200*Sqrt[210]*lu1^13*f40[t]*f42[t]*g22n[t] - 173927528536066780924176000*Sqrt[210]*lu1^14*f40[t]*f42[t]*g22n[t] - 52133000788251275780160000*Sqrt[210]*lu1^15*f40[t]*f42[t]*g22n[t] - 96562075428000*Sqrt[3]*f42[t]*f44[t]*g22n[t] - 1037380750038360*Sqrt[3]*lu1*f42[t]*f44[t]*g22n[t] + 427593335161224960*Sqrt[3]*lu1^2*f42[t]*f44[t]*g22n[t] + 6426159199957420560*Sqrt[3]*lu1^3*f42[t]*f44[t]*g22n[t] - 527625061001543734320*Sqrt[3]*lu1^4*f42[t]*f44[t]*g22n[t] - 8381680911590506621920*Sqrt[3]*lu1^5*f42[t]*f44[t]*g22n[t] + 188355062296436262973200*Sqrt[3]*lu1^6*f42[t]*f44[t]*g22n[t] + 2713050483853904004436080*Sqrt[3]*lu1^7*f42[t]*f44[t]*g22n[t] - 15176860815450492105008880*Sqrt[3]*lu1^8*f42[t]*f44[t]*g22n[t] - 280249889402867053656135240*Sqrt[3]*lu1^9*f42[t]*f44[t]*g22n[t] - 661078145588948076348799440*Sqrt[3]*lu1^10*f42[t]*f44[t]*g22n[t] + 1219024578974556068487776640*Sqrt[3]*lu1^11*f42[t]*f44[t]*g22n[t] + 3868646118484858218084769920*Sqrt[3]*lu1^12*f42[t]*f44[t]*g22n[t] - 255049740538883957387011200*Sqrt[3]*lu1^13*f42[t]*f44[t]*g22n[t] - 3952132812529822630688160000*Sqrt[3]*lu1^14*f42[t]*f44[t]*g22n[t] - 882257837566969402680960000*Sqrt[3]*lu1^15*f42[t]*f44[t]*g22n[t] + 112450707303480*f22n[t]*f44n[t]*g22n[t] - 13599904367354760*lu1* f22n[t]*f44n[t]*g22n[t] + 61522010386527600*lu1^2*f22n[t]*f44n[t]* g22n[t] + 33384268984205346480*lu1^3*f22n[t]*f44n[t]*g22n[t] - 567299379529096490640*lu1^4*f22n[t]*f44n[t]*g22n[t] - 17914540077411533468640*lu1^5*f22n[t]*f44n[t]*g22n[t] + 239378620666170652255680*lu1^6*f22n[t]*f44n[t]*g22n[t] + 4039344180660317272401840*lu1^7*f22n[t]*f44n[t]*g22n[t] - 22023518993425773642185640*lu1^8*f22n[t]*f44n[t]*g22n[t] - 381080655299589470773755480*lu1^9*f22n[t]*f44n[t]*g22n[t] - 750513858507546420173905200*lu1^10*f22n[t]*f44n[t]*g22n[t] + 1959697368509283033574725600*lu1^11*f22n[t]*f44n[t]*g22n[t] + 7690930127741538044666906880*lu1^12*f22n[t]*f44n[t]*g22n[t] + 3957493651629524601349372800*lu1^13*f22n[t]*f44n[t]*g22n[t] - 5949798408922836907062624000*lu1^14*f22n[t]*f44n[t]*g22n[t] - 4153706982884627881352640000*lu1^15*f22n[t]*f44n[t]*g22n[t] + 76222644170400*Sqrt[3]*f42n[t]*f44n[t]*g22n[t] + 16308561089850120*Sqrt[3]*lu1*f42n[t]*f44n[t]*g22n[t] - 912456202025833920*Sqrt[3]*lu1^2*f42n[t]*f44n[t]*g22n[t] - 45846710890085916720*Sqrt[3]*lu1^3*f42n[t]*f44n[t]*g22n[t] + 1569348193244418809040*Sqrt[3]*lu1^4*f42n[t]*f44n[t]*g22n[t] + 30290000819032500567840*Sqrt[3]*lu1^5*f42n[t]*f44n[t]*g22n[t] - 533151502595220802566000*Sqrt[3]*lu1^6*f42n[t]*f44n[t]*g22n[t] - 7588284602517000070612560*Sqrt[3]*lu1^7*f42n[t]*f44n[t]*g22n[t] + 35825416014564017063236560*Sqrt[3]*lu1^8*f42n[t]*f44n[t]*g22n[t] + 671898809830563504564200280*Sqrt[3]*lu1^9*f42n[t]*f44n[t]*g22n[t] + 2153594834890431170982023280*Sqrt[3]*lu1^10*f42n[t]*f44n[t]*g22n[t] + 1512839906742515559937921920*Sqrt[3]*lu1^11*f42n[t]*f44n[t]*g22n[t] - 1545040819207075690751072640*Sqrt[3]*lu1^12*f42n[t]*f44n[t]*g22n[t] - 624600787024513048731945600*Sqrt[3]*lu1^13*f42n[t]*f44n[t]*g22n[t] + 1751150827982590914428640000*Sqrt[3]*lu1^14*f42n[t]*f44n[t]*g22n[t] + 649700078874331110837120000*Sqrt[3]*lu1^15*f42n[t]*f44n[t]*g22n[t] + 290175836535*Sqrt[42]*f42[t]*g20[t]*g22n[t] + 5445954548775*Sqrt[42]* lu1*f42[t]*g20[t]*g22n[t] - 1675050561772965*Sqrt[42]*lu1^2*f42[t]* g20[t]*g22n[t] - 10212192204063525*Sqrt[42]*lu1^3*f42[t]*g20[t]* g22n[t] + 2480758864653513405*Sqrt[42]*lu1^4*f42[t]*g20[t]*g22n[t] - 3267529579896404355*Sqrt[42]*lu1^5*f42[t]*g20[t]*g22n[t] - 1019743728391333425415*Sqrt[42]*lu1^6*f42[t]*g20[t]*g22n[t] + 322835342303234311785*Sqrt[42]*lu1^7*f42[t]*g20[t]*g22n[t] + 171879956588029872221000*Sqrt[42]*lu1^8*f42[t]*g20[t]*g22n[t] + 435723128786234629341560*Sqrt[42]*lu1^9*f42[t]*g20[t]*g22n[t] - 10172930379069057762307600*Sqrt[42]*lu1^10*f42[t]*g20[t]*g22n[t] - 61072719465458323209726880*Sqrt[42]*lu1^11*f42[t]*g20[t]*g22n[t] - 96718905343656063151057920*Sqrt[42]*lu1^12*f42[t]*g20[t]*g22n[t] + 30116114666302068575350400*Sqrt[42]*lu1^13*f42[t]*g20[t]*g22n[t] + 133424709380752367532864000*Sqrt[42]*lu1^14*f42[t]*g20[t]*g22n[t] + 45510735912704858184480000*Sqrt[42]*lu1^15*f42[t]*g20[t]*g22n[t] + 307773504090*Sqrt[70]*f40[t]*g22[t]*g22n[t] - 617929094250*Sqrt[70]* lu1*f40[t]*g22[t]*g22n[t] - 1361039542514730*Sqrt[70]*lu1^2*f40[t]* g22[t]*g22n[t] - 2377274820875370*Sqrt[70]*lu1^3*f40[t]*g22[t]* g22n[t] + 1759213631419003890*Sqrt[70]*lu1^4*f40[t]*g22[t]*g22n[t] + 3401486791293199050*Sqrt[70]*lu1^5*f40[t]*g22[t]*g22n[t] - 774446318545276283790*Sqrt[70]*lu1^6*f40[t]*g22[t]*g22n[t] - 1682744604944845733070*Sqrt[70]*lu1^7*f40[t]*g22[t]*g22n[t] + 124656403338668240970060*Sqrt[70]*lu1^8*f40[t]*g22[t]*g22n[t] + 450983658350213967253080*Sqrt[70]*lu1^9*f40[t]*g22[t]*g22n[t] - 6084116545808751047139360*Sqrt[70]*lu1^10*f40[t]*g22[t]*g22n[t] - 32651852428070761707569280*Sqrt[70]*lu1^11*f40[t]*g22[t]*g22n[t] - 34398822983187330699769920*Sqrt[70]*lu1^12*f40[t]*g22[t]*g22n[t] + 49608864093451595728598400*Sqrt[70]*lu1^13*f40[t]*g22[t]*g22n[t] + 81714084744035578021824000*Sqrt[70]*lu1^14*f40[t]*g22[t]*g22n[t] + 15759178628578333865280000*Sqrt[70]*lu1^15*f40[t]*g22[t]*g22n[t] - 2291272327890*f44n[t]*g22n[t]^2 + 417413624969250*lu1*f44n[t]* g22n[t]^2 - 10622700836035470*lu1^2*f44n[t]*g22n[t]^2 - 863805273217360110*lu1^3*f44n[t]*g22n[t]^2 + 31736863524249917670* lu1^4*f44n[t]*g22n[t]^2 + 211465752606430868910*lu1^5*f44n[t]* g22n[t]^2 - 12807430002809126567610*lu1^6*f44n[t]*g22n[t]^2 - 36922678945411025918970*lu1^7*f44n[t]*g22n[t]^2 + 2048394427030001481374580*lu1^8*f44n[t]*g22n[t]^2 + 8807323955943051011567640*lu1^9*f44n[t]*g22n[t]^2 - 113857020124265117599710720*lu1^10*f44n[t]*g22n[t]^2 - 892573298223264440133361920*lu1^11*f44n[t]*g22n[t]^2 - 1956805136478832561000148160*lu1^12*f44n[t]*g22n[t]^2 - 673097037845069650746460800*lu1^13*f44n[t]*g22n[t]^2 + 1649622150075292787127552000*lu1^14*f44n[t]*g22n[t]^2 + 1064421094373287673480640000*lu1^15*f44n[t]*g22n[t]^2 - 384045834276*Sqrt[210]*f22n[t]*f42[t]*g40[t] + 452855963769768*Sqrt[210]*lu1*f22n[t]*f42[t]*g40[t] - 9190876932789552*Sqrt[210]*lu1^2*f22n[t]*f42[t]*g40[t] - 1283018843217739680*Sqrt[210]*lu1^3*f22n[t]*f42[t]*g40[t] + 14002918896596105736*Sqrt[210]*lu1^4*f22n[t]*f42[t]*g40[t] + 760667016150936638640*Sqrt[210]*lu1^5*f22n[t]*f42[t]*g40[t] + 323878018967177486448*Sqrt[210]*lu1^6*f22n[t]*f42[t]*g40[t] - 84417321937107437232864*Sqrt[210]*lu1^7*f22n[t]*f42[t]*g40[t] - 360941615040247179440580*Sqrt[210]*lu1^8*f22n[t]*f42[t]*g40[t] + 3665706067298196209886312*Sqrt[210]*lu1^9*f22n[t]*f42[t]*g40[t] + 6958493472235640189628384*Sqrt[210]*lu1^10*f22n[t]*f42[t]*g40[t] - 22057774968253386576467136*Sqrt[210]*lu1^11*f22n[t]*f42[t]*g40[t] - 6499650922718749857172800*Sqrt[210]*lu1^12*f22n[t]*f42[t]*g40[t] + 155853335602211754329347200*Sqrt[210]*lu1^13*f22n[t]*f42[t]*g40[t] + 220047759944689691099904000*Sqrt[210]*lu1^14*f22n[t]*f42[t]*g40[t] + 80507033106454671575040000*Sqrt[210]*lu1^15*f22n[t]*f42[t]*g40[t] + 16652860569144*Sqrt[70]*f42[t]*f42n[t]*g40[t] + 381935659824360*Sqrt[70]*lu1*f42[t]*f42n[t]*g40[t] - 62348523059184768*Sqrt[70]*lu1^2*f42[t]*f42n[t]*g40[t] - 1939946600978066736*Sqrt[70]*lu1^3*f42[t]*f42n[t]*g40[t] + 61957401830729587296*Sqrt[70]*lu1^4*f42[t]*f42n[t]*g40[t] + 919863884421589377888*Sqrt[70]*lu1^5*f42[t]*f42n[t]*g40[t] - 1701386072444047488912*Sqrt[70]*lu1^6*f42[t]*f42n[t]*g40[t] + 364393078441330251766320*Sqrt[70]*lu1^7*f42[t]*f42n[t]*g40[t] + 2258772045423310899785448*Sqrt[70]*lu1^8*f42[t]*f42n[t]*g40[t] - 15261480052801604141763528*Sqrt[70]*lu1^9*f42[t]*f42n[t]*g40[t] - 90979360099361831145613680*Sqrt[70]*lu1^10*f42[t]*f42n[t]*g40[t] - 71723836065255766964999424*Sqrt[70]*lu1^11*f42[t]*f42n[t]*g40[t] + 202586934739118205132317952*Sqrt[70]*lu1^12*f42[t]*f42n[t]*g40[t] + 264676050498775206874861440*Sqrt[70]*lu1^13*f42[t]*f42n[t]*g40[t] + 14227170249327061610707200*Sqrt[70]*lu1^14*f42[t]*f42n[t]*g40[t] - 2418344584047408401280000*Sqrt[70]*lu1^15*f42[t]*f42n[t]*g40[t] + 14652888102720*f40[t]*f44n[t]*g40[t] - 22686235570207440*lu1*f40[t]* f44n[t]*g40[t] + 364130005297413600*lu1^2*f40[t]*f44n[t]*g40[t] + 54677574577459884960*lu1^3*f40[t]*f44n[t]*g40[t] - 216633118063388342400*lu1^4*f40[t]*f44n[t]*g40[t] - 14190415911968618831040*lu1^5*f40[t]*f44n[t]*g40[t] - 177021219741221058255360*lu1^6*f40[t]*f44n[t]*g40[t] - 1510182427694040818030880*lu1^7*f40[t]*f44n[t]*g40[t] + 772202881190609697366720*lu1^8*f40[t]*f44n[t]*g40[t] + 7513496710476567162685200*lu1^9*f40[t]*f44n[t]*g40[t] + 390539860690270875672846240*lu1^10*f40[t]*f44n[t]*g40[t] + 1771318615938039896504797440*lu1^11*f40[t]*f44n[t]*g40[t] + 2243530286282481264590941440*lu1^12*f40[t]*f44n[t]*g40[t] + 37938393990687835991404800*lu1^13*f40[t]*f44n[t]*g40[t] - 1148711828036570164575936000*lu1^14*f40[t]*f44n[t]*g40[t] - 416940521344919281785600000*lu1^15*f40[t]*f44n[t]*g40[t] - 527894582670*Sqrt[5]*f44n[t]*g20[t]*g40[t] - 187681562858790*Sqrt[5]* lu1*f44n[t]*g20[t]*g40[t] + 7812973474709130*Sqrt[5]*lu1^2*f44n[t]* g20[t]*g40[t] + 493264836118872090*Sqrt[5]*lu1^3*f44n[t]*g20[t]* g40[t] - 12329555520149324730*Sqrt[5]*lu1^4*f44n[t]*g20[t]*g40[t] - 233608661677204787610*Sqrt[5]*lu1^5*f44n[t]*g20[t]*g40[t] + 3661021608773877727470*Sqrt[5]*lu1^6*f44n[t]*g20[t]*g40[t] + 42342595443217811073150*Sqrt[5]*lu1^7*f44n[t]*g20[t]*g40[t] - 264974673495843178423920*Sqrt[5]*lu1^8*f44n[t]*g20[t]*g40[t] - 2788279187290946366504760*Sqrt[5]*lu1^9*f44n[t]*g20[t]*g40[t] + 1924122982139552590119360*Sqrt[5]*lu1^10*f44n[t]*g20[t]*g40[t] + 59475903473109936371176800*Sqrt[5]*lu1^11*f44n[t]*g20[t]*g40[t] + 134020597654478467902977280*Sqrt[5]*lu1^12*f44n[t]*g20[t]*g40[t] + 15401031661793809490659200*Sqrt[5]*lu1^13*f44n[t]*g20[t]*g40[t] - 176025231308052329007168000*Sqrt[5]*lu1^14*f44n[t]*g20[t]*g40[t] - 95752468770725515432320000*Sqrt[5]*lu1^15*f44n[t]*g20[t]*g40[t] + 37851754005*Sqrt[70]*f22n[t]*g22[t]*g40[t] + 5140936903635*Sqrt[70]* lu1*f22n[t]*g22[t]*g40[t] - 345873662843085*Sqrt[70]*lu1^2*f22n[t]* g22[t]*g40[t] - 14825842310680245*Sqrt[70]*lu1^3*f22n[t]*g22[t]* g40[t] + 587222054566398225*Sqrt[70]*lu1^4*f22n[t]*g22[t]*g40[t] + 9476894997940573125*Sqrt[70]*lu1^5*f22n[t]*g22[t]*g40[t] - 245682651125337907455*Sqrt[70]*lu1^6*f22n[t]*g22[t]*g40[t] - 1521470269928158426695*Sqrt[70]*lu1^7*f22n[t]*g22[t]*g40[t] + 26467427767004547542310*Sqrt[70]*lu1^8*f22n[t]*g22[t]*g40[t] + 87427211987866586436900*Sqrt[70]*lu1^9*f22n[t]*g22[t]*g40[t] - 849567478566952151653920*Sqrt[70]*lu1^10*f22n[t]*g22[t]*g40[t] - 2298415454460201220996800*Sqrt[70]*lu1^11*f22n[t]*g22[t]*g40[t] + 5567930399742144905858400*Sqrt[70]*lu1^12*f22n[t]*g22[t]*g40[t] + 24101223535658032812110400*Sqrt[70]*lu1^13*f22n[t]*g22[t]*g40[t] + 26874910288351168784832000*Sqrt[70]*lu1^14*f22n[t]*g22[t]*g40[t] + 9524609748460807771680000*Sqrt[70]*lu1^15*f22n[t]*g22[t]*g40[t] - 209109009915*Sqrt[210]*f42n[t]*g22[t]*g40[t] - 2948117748615*Sqrt[210]*lu1*f42n[t]*g22[t]*g40[t] + 1121532736049505*Sqrt[210]*lu1^2*f42n[t]*g22[t]*g40[t] + 7242013439472825*Sqrt[210]*lu1^3*f42n[t]*g22[t]*g40[t] - 1600143201685932345*Sqrt[210]*lu1^4*f42n[t]*g22[t]*g40[t] - 1443816338063508825*Sqrt[210]*lu1^5*f42n[t]*g22[t]*g40[t] + 651966064377963390315*Sqrt[210]*lu1^6*f42n[t]*g22[t]*g40[t] + 1358730136692481544355*Sqrt[210]*lu1^7*f42n[t]*g22[t]*g40[t] - 96230034092545654774200*Sqrt[210]*lu1^8*f42n[t]*g22[t]*g40[t] - 386006864794159941877740*Sqrt[210]*lu1^9*f42n[t]*g22[t]*g40[t] + 3178245322441021685230560*Sqrt[210]*lu1^10*f42n[t]*g22[t]*g40[t] + 12118190616713251404163440*Sqrt[210]*lu1^11*f42n[t]*g22[t]*g40[t] + 2573711442304459728435840*Sqrt[210]*lu1^12*f42n[t]*g22[t]*g40[t] - 28220749726206434612155200*Sqrt[210]*lu1^13*f42n[t]*g22[t]*g40[t] - 33398791099580448386208000*Sqrt[210]*lu1^14*f42n[t]*g22[t]*g40[t] - 13140943671838047549120000*Sqrt[210]*lu1^15*f42n[t]*g22[t]*g40[t] - 209109009915*Sqrt[210]*f42[t]*g22n[t]*g40[t] - 2948117748615*Sqrt[210]*lu1*f42[t]*g22n[t]*g40[t] + 1121532736049505*Sqrt[210]*lu1^2*f42[t]*g22n[t]*g40[t] + 7242013439472825*Sqrt[210]*lu1^3*f42[t]*g22n[t]*g40[t] - 1600143201685932345*Sqrt[210]*lu1^4*f42[t]*g22n[t]*g40[t] - 1443816338063508825*Sqrt[210]*lu1^5*f42[t]*g22n[t]*g40[t] + 651966064377963390315*Sqrt[210]*lu1^6*f42[t]*g22n[t]*g40[t] + 1358730136692481544355*Sqrt[210]*lu1^7*f42[t]*g22n[t]*g40[t] - 96230034092545654774200*Sqrt[210]*lu1^8*f42[t]*g22n[t]*g40[t] - 386006864794159941877740*Sqrt[210]*lu1^9*f42[t]*g22n[t]*g40[t] + 3178245322441021685230560*Sqrt[210]*lu1^10*f42[t]*g22n[t]*g40[t] + 12118190616713251404163440*Sqrt[210]*lu1^11*f42[t]*g22n[t]*g40[t] + 2573711442304459728435840*Sqrt[210]*lu1^12*f42[t]*g22n[t]*g40[t] - 28220749726206434612155200*Sqrt[210]*lu1^13*f42[t]*g22n[t]*g40[t] - 33398791099580448386208000*Sqrt[210]*lu1^14*f42[t]*g22n[t]*g40[t] - 13140943671838047549120000*Sqrt[210]*lu1^15*f42[t]*g22n[t]*g40[t] - 525242298420*f44n[t]*g40[t]^2 + 433680690216060*lu1*f44n[t]* g40[t]^2 - 10913146429458420*lu1^2*f44n[t]*g40[t]^2 - 978882414113926980*lu1^3*f44n[t]*g40[t]^2 + 16339884174654061140* lu1^4*f44n[t]*g40[t]^2 + 346214974438446577380*lu1^5*f44n[t]* g40[t]^2 - 3207211751827534889340*lu1^6*f44n[t]*g40[t]^2 - 51975237220520911356780*lu1^7*f44n[t]*g40[t]^2 + 52865798217374034602640*lu1^8*f44n[t]*g40[t]^2 + 2626558856671380598734480*lu1^9*f44n[t]*g40[t]^2 + 8228592806218707150325440*lu1^10*f44n[t]*g40[t]^2 - 47152417795162669642201920*lu1^11*f44n[t]*g40[t]^2 - 198700438076712747390055680*lu1^12*f44n[t]*g40[t]^2 - 126548172234154124384313600*lu1^13*f44n[t]*g40[t]^2 + 167388911006987564600832000*lu1^14*f44n[t]*g40[t]^2 + 119134137443065978867200000*lu1^15*f44n[t]*g40[t]^2 - 404073186660*Sqrt[210]*f22n[t]*f40[t]*g42[t] + 402394965547068*Sqrt[210]*lu1*f22n[t]*f40[t]*g42[t] - 10390488336956520*Sqrt[210]*lu1^2*f22n[t]*f40[t]*g42[t] - 989045077001088744*Sqrt[210]*lu1^3*f22n[t]*f40[t]*g42[t] + 17954739561012302568*Sqrt[210]*lu1^4*f22n[t]*f40[t]*g42[t] + 374978209350562948416*Sqrt[210]*lu1^5*f22n[t]*f40[t]*g42[t] - 3366387605491666974192*Sqrt[210]*lu1^6*f22n[t]*f40[t]*g42[t] - 54267503314649797731000*Sqrt[210]*lu1^7*f22n[t]*f40[t]*g42[t] + 73302244535113784919612*Sqrt[210]*lu1^8*f22n[t]*f40[t]*g42[t] + 2002038319784863213306596*Sqrt[210]*lu1^9*f22n[t]*f40[t]*g42[t] - 897891480699464279601768*Sqrt[210]*lu1^10*f22n[t]*f40[t]*g42[t] - 14515059081062593156786176*Sqrt[210]*lu1^11*f22n[t]*f40[t]*g42[t] + 45604289893410962417308800*Sqrt[210]*lu1^12*f22n[t]*f40[t]*g42[t] + 203764798536926275955841600*Sqrt[210]*lu1^13*f22n[t]*f40[t]*g42[t] + 197936119269301955343984000*Sqrt[210]*lu1^14*f22n[t]*f40[t]*g42[t] + 44048663531060509863360000*Sqrt[210]*lu1^15*f22n[t]*f40[t]*g42[t] + 2738837093220*Sqrt[70]*f40[t]*f42n[t]*g42[t] + 820096340441004*Sqrt[70]*lu1*f40[t]*f42n[t]*g42[t] - 12048106164753024*Sqrt[70]*lu1^2*f40[t]*f42n[t]*g42[t] - 2089559608754728824*Sqrt[70]*lu1^3*f40[t]*f42n[t]*g42[t] + 1653594865226003088*Sqrt[70]*lu1^4*f40[t]*f42n[t]*g42[t] - 798989232669367089312*Sqrt[70]*lu1^5*f40[t]*f42n[t]*g42[t] + 302658484833196505640*Sqrt[70]*lu1^6*f40[t]*f42n[t]*g42[t] + 252463931881911578635128*Sqrt[70]*lu1^7*f40[t]*f42n[t]*g42[t] + 1248422463270082214776332*Sqrt[70]*lu1^8*f40[t]*f42n[t]*g42[t] - 7817439515086076612091084*Sqrt[70]*lu1^9*f40[t]*f42n[t]*g42[t] - 46900796007235186784292264*Sqrt[70]*lu1^10*f40[t]*f42n[t]*g42[t] - 66990409577742256594678656*Sqrt[70]*lu1^11*f40[t]*f42n[t]*g42[t] + 21914446395562528427574912*Sqrt[70]*lu1^12*f40[t]*f42n[t]*g42[t] + 145263376838697302383007040*Sqrt[70]*lu1^13*f40[t]*f42n[t]*g42[t] + 125216961512679125332387200*Sqrt[70]*lu1^14*f40[t]*f42n[t]*g42[t] + 12185465021861000667840000*Sqrt[70]*lu1^15*f40[t]*f42n[t]*g42[t] - 38258622969840*Sqrt[3]*f22n[t]*f44[t]*g42[t] + 635155144205400*Sqrt[3]*lu1*f22n[t]*f44[t]*g42[t] + 133489207975818240*Sqrt[3]*lu1^2*f22n[t]*f44[t]*g42[t] - 2567761670000872800*Sqrt[3]*lu1^3*f22n[t]*f44[t]*g42[t] - 106970971697512955760*Sqrt[3]*lu1^4*f22n[t]*f44[t]*g42[t] + 4089609622288929538800*Sqrt[3]*lu1^5*f22n[t]*f44[t]*g42[t] + 37181972020754058235920*Sqrt[3]*lu1^6*f22n[t]*f44[t]*g42[t] - 561889707647154097280160*Sqrt[3]*lu1^7*f22n[t]*f44[t]*g42[t] - 4101060319126379601501600*Sqrt[3]*lu1^8*f22n[t]*f44[t]*g42[t] + 29922788502637169056215480*Sqrt[3]*lu1^9*f22n[t]*f44[t]*g42[t] + 64524451347979758051112560*Sqrt[3]*lu1^10*f22n[t]*f44[t]*g42[t] - 256110589548240058022751360*Sqrt[3]*lu1^11*f22n[t]*f44[t]*g42[t] + 10640563214897427915841920*Sqrt[3]*lu1^12*f22n[t]*f44[t]*g42[t] + 2110726767580220420655024000*Sqrt[3]*lu1^13*f22n[t]*f44[t]*g42[t] + 2654151995682398344914144000*Sqrt[3]*lu1^14*f22n[t]*f44[t]*g42[t] + 704514547330459607064960000*Sqrt[3]*lu1^15*f22n[t]*f44[t]*g42[t] + 36625635794664*f42n[t]*f44[t]*g42[t] - 5900118931456344*lu1*f42n[t]* f44[t]*g42[t] - 154228033888496064*lu1^2*f42n[t]*f44[t]*g42[t] + 26381475924665290128*lu1^3*f42n[t]*f44[t]*g42[t] + 352631462782453380288*lu1^4*f42n[t]*f44[t]*g42[t] - 29014443127098282238560*lu1^5*f42n[t]*f44[t]*g42[t] - 413059528532460029390352*lu1^6*f42n[t]*f44[t]*g42[t] + 2750939280219544790915952*lu1^7*f42n[t]*f44[t]*g42[t] + 45222738412134060187275096*lu1^8*f42n[t]*f44[t]*g42[t] - 116434701614368885743914184*lu1^9*f42n[t]*f44[t]*g42[t] - 865927258834587113490114096*lu1^10*f42n[t]*f44[t]*g42[t] - 315924755714886606474912768*lu1^11*f42n[t]*f44[t]*g42[t] + 2426800633552767333217789440*lu1^12*f42n[t]*f44[t]*g42[t] + 2015397383610826277816342400*lu1^13*f42n[t]*f44[t]*g42[t] - 1113249625711996441263840000*lu1^14*f42n[t]*f44[t]*g42[t] - 1173631668081632397429120000*lu1^15*f42n[t]*f44[t]*g42[t] + 197513714619144*f42[t]*f44n[t]*g42[t] - 37980622059996168*lu1*f42[t]* f44n[t]*g42[t] + 90115966606921920*lu1^2*f42[t]*f44n[t]*g42[t] + 81497702704935745872*lu1^3*f42[t]*f44n[t]*g42[t] + 152719623664420811040*lu1^4*f42[t]*f44n[t]*g42[t] - 23524051988459449885248*lu1^5*f42[t]*f44n[t]*g42[t] - 368509636562698309380912*lu1^6*f42[t]*f44n[t]*g42[t] + 1558802225513254747387824*lu1^7*f42[t]*f44n[t]*g42[t] + 28452249681592504795020504*lu1^8*f42[t]*f44n[t]*g42[t] - 163894871475596861854180920*lu1^9*f42[t]*f44n[t]*g42[t] - 286931354247266211006732432*lu1^10*f42[t]*f44n[t]*g42[t] + 2560592850570895437227766528*lu1^11*f42[t]*f44n[t]*g42[t] + 6480139379976024243078866688*lu1^12*f42[t]*f44n[t]*g42[t] + 3224082351217198347268882560*lu1^13*f42[t]*f44n[t]*g42[t] - 1580290913353585169234131200*lu1^14*f42[t]*f44n[t]*g42[t] - 799586755372263038866560000*lu1^15*f42[t]*f44n[t]*g42[t] - 78456055275*Sqrt[42]*f22n[t]*g20[t]*g42[t] + 19923986729205*Sqrt[42]* lu1*f22n[t]*g20[t]*g42[t] - 406063463070915*Sqrt[42]*lu1^2*f22n[t]* g20[t]*g42[t] - 49291563071197395*Sqrt[42]*lu1^3*f22n[t]*g20[t]* g42[t] + 1093968908003281635*Sqrt[42]*lu1^4*f22n[t]*g20[t]*g42[t] + 23297412655200487635*Sqrt[42]*lu1^5*f22n[t]*g20[t]*g42[t] - 412422848379226796865*Sqrt[42]*lu1^6*f22n[t]*g20[t]*g42[t] - 3713330631985190831745*Sqrt[42]*lu1^7*f22n[t]*g20[t]*g42[t] + 39492742936781466085260*Sqrt[42]*lu1^8*f22n[t]*g20[t]*g42[t] + 238290921899666570960220*Sqrt[42]*lu1^9*f22n[t]*g20[t]*g42[t] - 974272106639498051374080*Sqrt[42]*lu1^10*f22n[t]*g20[t]*g42[t] - 7026390312195419306091600*Sqrt[42]*lu1^11*f22n[t]*g20[t]*g42[t] - 6396981587363914996438080*Sqrt[42]*lu1^12*f22n[t]*g20[t]*g42[t] + 19466121344250752248584000*Sqrt[42]*lu1^13*f22n[t]*g20[t]*g42[t] + 39724993353913010908128000*Sqrt[42]*lu1^14*f22n[t]*g20[t]*g42[t] + 19908917810936163172800000*Sqrt[42]*lu1^15*f22n[t]*g20[t]*g42[t] - 645690233565*Sqrt[14]*f42n[t]*g20[t]*g42[t] + 4056548205645*Sqrt[14]* lu1*f42n[t]*g20[t]*g42[t] + 2854210047161265*Sqrt[14]*lu1^2*f42n[t]* g20[t]*g42[t] + 23651619507786465*Sqrt[14]*lu1^3*f42n[t]*g20[t]* g42[t] - 4114897030126984725*Sqrt[14]*lu1^4*f42n[t]*g20[t]*g42[t] - 69377245208177026185*Sqrt[14]*lu1^5*f42n[t]*g20[t]*g42[t] + 1716936398465607733635*Sqrt[14]*lu1^6*f42n[t]*g20[t]*g42[t] + 14980497190055665774155*Sqrt[14]*lu1^7*f42n[t]*g20[t]*g42[t] - 142929614340321948431370*Sqrt[14]*lu1^8*f42n[t]*g20[t]*g42[t] - 713997433667044013713200*Sqrt[14]*lu1^9*f42n[t]*g20[t]*g42[t] + 4260272806916964114699240*Sqrt[14]*lu1^10*f42n[t]*g20[t]*g42[t] + 21741425771817387687517440*Sqrt[14]*lu1^11*f42n[t]*g20[t]*g42[t] - 9539953379301073136335200*Sqrt[14]*lu1^12*f42n[t]*g20[t]*g42[t] - 123252292051727275074643200*Sqrt[14]*lu1^13*f42n[t]*g20[t]*g42[t] - 110378512783239321754224000*Sqrt[14]*lu1^14*f42n[t]*g20[t]*g42[t] + 4368374195955717336480000*Sqrt[14]*lu1^15*f42n[t]*g20[t]*g42[t] - 2375775609480*Sqrt[3]*f44n[t]*g22[t]*g42[t] - 527986923904440*Sqrt[3]* lu1*f44n[t]*g22[t]*g42[t] + 25892909876597400*Sqrt[3]*lu1^2*f44n[t]* g22[t]*g42[t] + 1326773330169323400*Sqrt[3]*lu1^3*f44n[t]*g22[t]* g42[t] - 38188649438993169480*Sqrt[3]*lu1^4*f44n[t]*g22[t]*g42[t] - 492084644322209276520*Sqrt[3]*lu1^5*f44n[t]*g22[t]*g42[t] + 10948126359148949956440*Sqrt[3]*lu1^6*f44n[t]*g22[t]*g42[t] + 84996570419971258197240*Sqrt[3]*lu1^7*f44n[t]*g22[t]*g42[t] - 988430314781204819706000*Sqrt[3]*lu1^8*f44n[t]*g22[t]*g42[t] - 6860337340793963989959360*Sqrt[3]*lu1^9*f44n[t]*g22[t]*g42[t] + 20318678047255003134416880*Sqrt[3]*lu1^10*f44n[t]*g22[t]*g42[t] + 193099710668272835431935840*Sqrt[3]*lu1^11*f44n[t]*g22[t]*g42[t] + 409385577339239714945047680*Sqrt[3]*lu1^12*f44n[t]*g22[t]*g42[t] + 153426223558406710188076800*Sqrt[3]*lu1^13*f44n[t]*g22[t]*g42[t] - 434966444362462852109088000*Sqrt[3]*lu1^14*f44n[t]*g22[t]*g42[t] - 372316583323278657161280000*Sqrt[3]*lu1^15*f44n[t]*g22[t]*g42[t] - 374819551470*Sqrt[210]*f40[t]*g22n[t]*g42[t] + 3362449765662*Sqrt[210]*lu1*f40[t]*g22n[t]*g42[t] + 1562348622091374*Sqrt[210]*lu1^2*f40[t]*g22n[t]*g42[t] - 4605027960383370*Sqrt[210]*lu1^3*f40[t]*g22n[t]*g42[t] - 1919895661672336686*Sqrt[210]*lu1^4*f40[t]*g22n[t]*g42[t] + 913187936113501386*Sqrt[210]*lu1^5*f40[t]*g22n[t]*g42[t] + 812650283776034928978*Sqrt[210]*lu1^6*f40[t]*g22n[t]*g42[t] + 1274634153773107925538*Sqrt[210]*lu1^7*f40[t]*g22n[t]*g42[t] - 124017833824422162581580*Sqrt[210]*lu1^8*f40[t]*g22n[t]*g42[t] - 429655638952772380669872*Sqrt[210]*lu1^9*f40[t]*g22n[t]*g42[t] + 4592115144974952374124072*Sqrt[210]*lu1^10*f40[t]*g22n[t]*g42[t] + 14700012782906189119004208*Sqrt[210]*lu1^11*f40[t]*g22n[t]*g42[t] - 11507943827579670641139840*Sqrt[210]*lu1^12*f40[t]*g22n[t]*g42[t] - 67567002338776838179900800*Sqrt[210]*lu1^13*f40[t]*g22n[t]*g42[t] - 52369781922587299860144000*Sqrt[210]*lu1^14*f40[t]*g22n[t]*g42[t] - 3381512327394781114080000*Sqrt[210]*lu1^15*f40[t]*g22n[t]*g42[t] + 666132012000*Sqrt[3]*f44[t]*g22n[t]*g42[t] + 248118987261600*Sqrt[3]* lu1*f44[t]*g22n[t]*g42[t] - 7817724427378320*Sqrt[3]*lu1^2*f44[t]* g22n[t]*g42[t] - 589222284667642080*Sqrt[3]*lu1^3*f44[t]*g22n[t]* g42[t] + 7740083253852374880*Sqrt[3]*lu1^4*f44[t]*g22n[t]*g42[t] + 98144591381781584640*Sqrt[3]*lu1^5*f44[t]*g22n[t]*g42[t] - 80046559692579130560*Sqrt[3]*lu1^6*f44[t]*g22n[t]*g42[t] - 2247258111558458980800*Sqrt[3]*lu1^7*f44[t]*g22n[t]*g42[t] - 123895765114091195184960*Sqrt[3]*lu1^8*f44[t]*g22n[t]*g42[t] - 518447934086450631812640*Sqrt[3]*lu1^9*f44[t]*g22n[t]*g42[t] + 2851519519249076519996880*Sqrt[3]*lu1^10*f44[t]*g22n[t]*g42[t] - 11367555029766534724900320*Sqrt[3]*lu1^11*f44[t]*g22n[t]*g42[t] - 122577505312772630896513920*Sqrt[3]*lu1^12*f44[t]*g22n[t]*g42[t] - 206424142231422713390956800*Sqrt[3]*lu1^13*f44[t]*g22n[t]*g42[t] - 45809461454934180013920000*Sqrt[3]*lu1^14*f44[t]*g22n[t]*g42[t] + 65536174319266974173760000*Sqrt[3]*lu1^15*f44[t]*g22n[t]*g42[t] + 104420381715*Sqrt[210]*f22n[t]*g40[t]*g42[t] - 14070748753737*Sqrt[210]*lu1*f22n[t]*g40[t]*g42[t] + 81931391843535*Sqrt[210]*lu1^2*f22n[t]*g40[t]*g42[t] + 33258235454276391*Sqrt[210]*lu1^3*f22n[t]*g40[t]*g42[t] - 516997157669699967*Sqrt[210]*lu1^4*f22n[t]*g40[t]*g42[t] - 13906613336396040039*Sqrt[210]*lu1^5*f22n[t]*g40[t]*g42[t] + 178240906717578938493*Sqrt[210]*lu1^6*f22n[t]*g40[t]*g42[t] + 1973051413783882058445*Sqrt[210]*lu1^7*f22n[t]*g40[t]*g42[t] - 13497961033819156171368*Sqrt[210]*lu1^8*f22n[t]*g40[t]*g42[t] - 91422323118290045993124*Sqrt[210]*lu1^9*f22n[t]*g40[t]*g42[t] + 229703458661870100907272*Sqrt[210]*lu1^10*f22n[t]*g40[t]*g42[t] + 1836486566245182081975264*Sqrt[210]*lu1^11*f22n[t]*g40[t]*g42[t] + 818450651456239314102720*Sqrt[210]*lu1^12*f22n[t]*g40[t]*g42[t] - 9085626217138570777454400*Sqrt[210]*lu1^13*f22n[t]*g40[t]*g42[t] - 15672948080533477218576000*Sqrt[210]*lu1^14*f22n[t]*g40[t]*g42[t] - 6766566372769491419040000*Sqrt[210]*lu1^15*f22n[t]*g40[t]*g42[t] - 288375731415*Sqrt[70]*f42n[t]*g40[t]*g42[t] - 690572865249*Sqrt[70]* lu1*f42n[t]*g40[t]*g42[t] + 520773728159439*Sqrt[70]*lu1^2*f42n[t]* g40[t]*g42[t] + 47289808315717119*Sqrt[70]*lu1^3*f42n[t]*g40[t]* g42[t] - 860867585619811443*Sqrt[70]*lu1^4*f42n[t]*g40[t]*g42[t] - 12703698238770041103*Sqrt[70]*lu1^5*f42n[t]*g40[t]*g42[t] + 127305366835028760765*Sqrt[70]*lu1^6*f42n[t]*g40[t]*g42[t] + 1282278256986325287717*Sqrt[70]*lu1^7*f42n[t]*g40[t]*g42[t] - 346990671854579449242*Sqrt[70]*lu1^8*f42n[t]*g40[t]*g42[t] - 15564816931169962398276*Sqrt[70]*lu1^9*f42n[t]*g40[t]*g42[t] - 100080437976306527321736*Sqrt[70]*lu1^10*f42n[t]*g40[t]*g42[t] - 217132272913146643640304*Sqrt[70]*lu1^11*f42n[t]*g40[t]*g42[t] - 2955954553725091204177632*Sqrt[70]*lu1^12*f42n[t]*g40[t]*g42[t] - 10511174913063987333435840*Sqrt[70]*lu1^13*f42n[t]*g40[t]*g42[t] - 7544906568042132205123200*Sqrt[70]*lu1^14*f42n[t]*g40[t]*g42[t] + 4278499128537540500160000*Sqrt[70]*lu1^15*f42n[t]*g40[t]*g42[t] - 3277214316810*f44n[t]*g42[t]^2 + 847796096227626*lu1*f44n[t]* g42[t]^2 - 17867687497332246*lu1^2*f44n[t]*g42[t]^2 - 1539282005321016726*lu1^3*f44n[t]*g42[t]^2 + 25777942502168729502* lu1^4*f44n[t]*g42[t]^2 + 605211183024975822582*lu1^5*f44n[t]* g42[t]^2 - 5495818353608784319650*lu1^6*f44n[t]*g42[t]^2 - 97565409717602597691858*lu1^7*f44n[t]*g42[t]^2 + 74067367579773931555668*lu1^8*f44n[t]*g42[t]^2 + 5098711158970515754361064*lu1^9*f44n[t]*g42[t]^2 + 17987410403220971493227664*lu1^10*f44n[t]*g42[t]^2 - 89937349088044470771425184*lu1^11*f44n[t]*g42[t]^2 - 443612336759361812578761792*lu1^12*f44n[t]*g42[t]^2 - 428373120439736159951975040*lu1^13*f44n[t]*g42[t]^2 + 203573232647209187569900800*lu1^14*f44n[t]*g42[t]^2 + 291100167561153440568960000*lu1^15*f44n[t]*g42[t]^2 + 2738837093220*Sqrt[70]*f40[t]*f42[t]*g42n[t] + 820096340441004*Sqrt[70]*lu1*f40[t]*f42[t]*g42n[t] - 12048106164753024*Sqrt[70]*lu1^2*f40[t]*f42[t]*g42n[t] - 2089559608754728824*Sqrt[70]*lu1^3*f40[t]*f42[t]*g42n[t] + 1653594865226003088*Sqrt[70]*lu1^4*f40[t]*f42[t]*g42n[t] - 798989232669367089312*Sqrt[70]*lu1^5*f40[t]*f42[t]*g42n[t] + 302658484833196505640*Sqrt[70]*lu1^6*f40[t]*f42[t]*g42n[t] + 252463931881911578635128*Sqrt[70]*lu1^7*f40[t]*f42[t]*g42n[t] + 1248422463270082214776332*Sqrt[70]*lu1^8*f40[t]*f42[t]*g42n[t] - 7817439515086076612091084*Sqrt[70]*lu1^9*f40[t]*f42[t]*g42n[t] - 46900796007235186784292264*Sqrt[70]*lu1^10*f40[t]*f42[t]*g42n[t] - 66990409577742256594678656*Sqrt[70]*lu1^11*f40[t]*f42[t]*g42n[t] + 21914446395562528427574912*Sqrt[70]*lu1^12*f40[t]*f42[t]*g42n[t] + 145263376838697302383007040*Sqrt[70]*lu1^13*f40[t]*f42[t]*g42n[t] + 125216961512679125332387200*Sqrt[70]*lu1^14*f40[t]*f42[t]*g42n[t] + 12185465021861000667840000*Sqrt[70]*lu1^15*f40[t]*f42[t]*g42n[t] - 36625635794664*f42[t]*f44[t]*g42n[t] + 5900118931456344*lu1*f42[t]* f44[t]*g42n[t] + 154228033888496064*lu1^2*f42[t]*f44[t]*g42n[t] - 26381475924665290128*lu1^3*f42[t]*f44[t]*g42n[t] - 352631462782453380288*lu1^4*f42[t]*f44[t]*g42n[t] + 29014443127098282238560*lu1^5*f42[t]*f44[t]*g42n[t] + 413059528532460029390352*lu1^6*f42[t]*f44[t]*g42n[t] - 2750939280219544790915952*lu1^7*f42[t]*f44[t]*g42n[t] - 45222738412134060187275096*lu1^8*f42[t]*f44[t]*g42n[t] + 116434701614368885743914184*lu1^9*f42[t]*f44[t]*g42n[t] + 865927258834587113490114096*lu1^10*f42[t]*f44[t]*g42n[t] + 315924755714886606474912768*lu1^11*f42[t]*f44[t]*g42n[t] - 2426800633552767333217789440*lu1^12*f42[t]*f44[t]*g42n[t] - 2015397383610826277816342400*lu1^13*f42[t]*f44[t]*g42n[t] + 1113249625711996441263840000*lu1^14*f42[t]*f44[t]*g42n[t] + 1173631668081632397429120000*lu1^15*f42[t]*f44[t]*g42n[t] + 46704665629440*Sqrt[3]*f22n[t]*f44n[t]*g42n[t] + 7646219351217720*Sqrt[3]*lu1*f22n[t]*f44n[t]*g42n[t] - 344138589837085680*Sqrt[3]*lu1^2*f22n[t]*f44n[t]*g42n[t] - 22289138635325955120*Sqrt[3]*lu1^3*f22n[t]*f44n[t]*g42n[t] + 382342801248393454560*Sqrt[3]*lu1^4*f22n[t]*f44n[t]*g42n[t] + 12264505196056632748320*Sqrt[3]*lu1^5*f22n[t]*f44n[t]*g42n[t] - 20960028133740890681760*Sqrt[3]*lu1^6*f22n[t]*f44n[t]*g42n[t] - 1135694658599832495375120*Sqrt[3]*lu1^7*f22n[t]*f44n[t]*g42n[t] - 4218771804480997523454240*Sqrt[3]*lu1^8*f22n[t]*f44n[t]*g42n[t] + 47818272696898460131513320*Sqrt[3]*lu1^9*f22n[t]*f44n[t]*g42n[t] + 119209406008295893065856080*Sqrt[3]*lu1^10*f22n[t]*f44n[t]*g42n[t] - 328601462321145704424988800*Sqrt[3]*lu1^11*f22n[t]*f44n[t]*g42n[t] - 1130647883942817458115381120*Sqrt[3]*lu1^12*f22n[t]*f44n[t]*g42n[t] - 427777018266494683794134400*Sqrt[3]*lu1^13*f22n[t]*f44n[t]*g42n[t] + 1189661048358389782619808000*Sqrt[3]*lu1^14*f22n[t]*f44n[t]*g42n[t] + 912568348172770214889600000*Sqrt[3]*lu1^15*f22n[t]*f44n[t]*g42n[t] + 197513714619144*f42n[t]*f44n[t]*g42n[t] - 37980622059996168*lu1* f42n[t]*f44n[t]*g42n[t] + 90115966606921920*lu1^2*f42n[t]*f44n[t]* g42n[t] + 81497702704935745872*lu1^3*f42n[t]*f44n[t]*g42n[t] + 152719623664420811040*lu1^4*f42n[t]*f44n[t]*g42n[t] - 23524051988459449885248*lu1^5*f42n[t]*f44n[t]*g42n[t] - 368509636562698309380912*lu1^6*f42n[t]*f44n[t]*g42n[t] + 1558802225513254747387824*lu1^7*f42n[t]*f44n[t]*g42n[t] + 28452249681592504795020504*lu1^8*f42n[t]*f44n[t]*g42n[t] - 163894871475596861854180920*lu1^9*f42n[t]*f44n[t]*g42n[t] - 286931354247266211006732432*lu1^10*f42n[t]*f44n[t]*g42n[t] + 2560592850570895437227766528*lu1^11*f42n[t]*f44n[t]*g42n[t] + 6480139379976024243078866688*lu1^12*f42n[t]*f44n[t]*g42n[t] + 3224082351217198347268882560*lu1^13*f42n[t]*f44n[t]*g42n[t] - 1580290913353585169234131200*lu1^14*f42n[t]*f44n[t]*g42n[t] - 799586755372263038866560000*lu1^15*f42n[t]*f44n[t]*g42n[t] - 645690233565*Sqrt[14]*f42[t]*g20[t]*g42n[t] + 4056548205645*Sqrt[14]* lu1*f42[t]*g20[t]*g42n[t] + 2854210047161265*Sqrt[14]*lu1^2*f42[t]* g20[t]*g42n[t] + 23651619507786465*Sqrt[14]*lu1^3*f42[t]*g20[t]* g42n[t] - 4114897030126984725*Sqrt[14]*lu1^4*f42[t]*g20[t]*g42n[t] - 69377245208177026185*Sqrt[14]*lu1^5*f42[t]*g20[t]*g42n[t] + 1716936398465607733635*Sqrt[14]*lu1^6*f42[t]*g20[t]*g42n[t] + 14980497190055665774155*Sqrt[14]*lu1^7*f42[t]*g20[t]*g42n[t] - 142929614340321948431370*Sqrt[14]*lu1^8*f42[t]*g20[t]*g42n[t] - 713997433667044013713200*Sqrt[14]*lu1^9*f42[t]*g20[t]*g42n[t] + 4260272806916964114699240*Sqrt[14]*lu1^10*f42[t]*g20[t]*g42n[t] + 21741425771817387687517440*Sqrt[14]*lu1^11*f42[t]*g20[t]*g42n[t] - 9539953379301073136335200*Sqrt[14]*lu1^12*f42[t]*g20[t]*g42n[t] - 123252292051727275074643200*Sqrt[14]*lu1^13*f42[t]*g20[t]*g42n[t] - 110378512783239321754224000*Sqrt[14]*lu1^14*f42[t]*g20[t]*g42n[t] + 4368374195955717336480000*Sqrt[14]*lu1^15*f42[t]*g20[t]*g42n[t] - 374819551470*Sqrt[210]*f40[t]*g22[t]*g42n[t] + 3362449765662*Sqrt[210]*lu1*f40[t]*g22[t]*g42n[t] + 1562348622091374*Sqrt[210]*lu1^2*f40[t]*g22[t]*g42n[t] - 4605027960383370*Sqrt[210]*lu1^3*f40[t]*g22[t]*g42n[t] - 1919895661672336686*Sqrt[210]*lu1^4*f40[t]*g22[t]*g42n[t] + 913187936113501386*Sqrt[210]*lu1^5*f40[t]*g22[t]*g42n[t] + 812650283776034928978*Sqrt[210]*lu1^6*f40[t]*g22[t]*g42n[t] + 1274634153773107925538*Sqrt[210]*lu1^7*f40[t]*g22[t]*g42n[t] - 124017833824422162581580*Sqrt[210]*lu1^8*f40[t]*g22[t]*g42n[t] - 429655638952772380669872*Sqrt[210]*lu1^9*f40[t]*g22[t]*g42n[t] + 4592115144974952374124072*Sqrt[210]*lu1^10*f40[t]*g22[t]*g42n[t] + 14700012782906189119004208*Sqrt[210]*lu1^11*f40[t]*g22[t]*g42n[t] - 11507943827579670641139840*Sqrt[210]*lu1^12*f40[t]*g22[t]*g42n[t] - 67567002338776838179900800*Sqrt[210]*lu1^13*f40[t]*g22[t]*g42n[t] - 52369781922587299860144000*Sqrt[210]*lu1^14*f40[t]*g22[t]*g42n[t] - 3381512327394781114080000*Sqrt[210]*lu1^15*f40[t]*g22[t]*g42n[t] - 666132012000*Sqrt[3]*f44[t]*g22[t]*g42n[t] - 248118987261600*Sqrt[3]* lu1*f44[t]*g22[t]*g42n[t] + 7817724427378320*Sqrt[3]*lu1^2*f44[t]* g22[t]*g42n[t] + 589222284667642080*Sqrt[3]*lu1^3*f44[t]*g22[t]* g42n[t] - 7740083253852374880*Sqrt[3]*lu1^4*f44[t]*g22[t]*g42n[t] - 98144591381781584640*Sqrt[3]*lu1^5*f44[t]*g22[t]*g42n[t] + 80046559692579130560*Sqrt[3]*lu1^6*f44[t]*g22[t]*g42n[t] + 2247258111558458980800*Sqrt[3]*lu1^7*f44[t]*g22[t]*g42n[t] + 123895765114091195184960*Sqrt[3]*lu1^8*f44[t]*g22[t]*g42n[t] + 518447934086450631812640*Sqrt[3]*lu1^9*f44[t]*g22[t]*g42n[t] - 2851519519249076519996880*Sqrt[3]*lu1^10*f44[t]*g22[t]*g42n[t] + 11367555029766534724900320*Sqrt[3]*lu1^11*f44[t]*g22[t]*g42n[t] + 122577505312772630896513920*Sqrt[3]*lu1^12*f44[t]*g22[t]*g42n[t] + 206424142231422713390956800*Sqrt[3]*lu1^13*f44[t]*g22[t]*g42n[t] + 45809461454934180013920000*Sqrt[3]*lu1^14*f44[t]*g22[t]*g42n[t] - 65536174319266974173760000*Sqrt[3]*lu1^15*f44[t]*g22[t]*g42n[t] - 2375775609480*Sqrt[3]*f44n[t]*g22n[t]*g42n[t] - 527986923904440*Sqrt[3]*lu1*f44n[t]*g22n[t]*g42n[t] + 25892909876597400*Sqrt[3]*lu1^2*f44n[t]*g22n[t]*g42n[t] + 1326773330169323400*Sqrt[3]*lu1^3*f44n[t]*g22n[t]*g42n[t] - 38188649438993169480*Sqrt[3]*lu1^4*f44n[t]*g22n[t]*g42n[t] - 492084644322209276520*Sqrt[3]*lu1^5*f44n[t]*g22n[t]*g42n[t] + 10948126359148949956440*Sqrt[3]*lu1^6*f44n[t]*g22n[t]*g42n[t] + 84996570419971258197240*Sqrt[3]*lu1^7*f44n[t]*g22n[t]*g42n[t] - 988430314781204819706000*Sqrt[3]*lu1^8*f44n[t]*g22n[t]*g42n[t] - 6860337340793963989959360*Sqrt[3]*lu1^9*f44n[t]*g22n[t]*g42n[t] + 20318678047255003134416880*Sqrt[3]*lu1^10*f44n[t]*g22n[t]*g42n[t] + 193099710668272835431935840*Sqrt[3]*lu1^11*f44n[t]*g22n[t]*g42n[t] + 409385577339239714945047680*Sqrt[3]*lu1^12*f44n[t]*g22n[t]*g42n[t] + 153426223558406710188076800*Sqrt[3]*lu1^13*f44n[t]*g22n[t]*g42n[t] - 434966444362462852109088000*Sqrt[3]*lu1^14*f44n[t]*g22n[t]*g42n[t] - 372316583323278657161280000*Sqrt[3]*lu1^15*f44n[t]*g22n[t]*g42n[t] - 288375731415*Sqrt[70]*f42[t]*g40[t]*g42n[t] - 690572865249*Sqrt[70]* lu1*f42[t]*g40[t]*g42n[t] + 520773728159439*Sqrt[70]*lu1^2*f42[t]* g40[t]*g42n[t] + 47289808315717119*Sqrt[70]*lu1^3*f42[t]*g40[t]* g42n[t] - 860867585619811443*Sqrt[70]*lu1^4*f42[t]*g40[t]*g42n[t] - 12703698238770041103*Sqrt[70]*lu1^5*f42[t]*g40[t]*g42n[t] + 127305366835028760765*Sqrt[70]*lu1^6*f42[t]*g40[t]*g42n[t] + 1282278256986325287717*Sqrt[70]*lu1^7*f42[t]*g40[t]*g42n[t] - 346990671854579449242*Sqrt[70]*lu1^8*f42[t]*g40[t]*g42n[t] - 15564816931169962398276*Sqrt[70]*lu1^9*f42[t]*g40[t]*g42n[t] - 100080437976306527321736*Sqrt[70]*lu1^10*f42[t]*g40[t]*g42n[t] - 217132272913146643640304*Sqrt[70]*lu1^11*f42[t]*g40[t]*g42n[t] - 2955954553725091204177632*Sqrt[70]*lu1^12*f42[t]*g40[t]*g42n[t] - 10511174913063987333435840*Sqrt[70]*lu1^13*f42[t]*g40[t]*g42n[t] - 7544906568042132205123200*Sqrt[70]*lu1^14*f42[t]*g40[t]*g42n[t] + 4278499128537540500160000*Sqrt[70]*lu1^15*f42[t]*g40[t]*g42n[t] - 199190188530*Sqrt[70]*f40[t]*g42[t]*g42n[t] + 5622830340930*Sqrt[70]* lu1*f40[t]*g42[t]*g42n[t] + 386549757672930*Sqrt[70]*lu1^2*f40[t]* g42[t]*g42n[t] + 9809452017081090*Sqrt[70]*lu1^3*f40[t]*g42[t]* g42n[t] - 485544979419506010*Sqrt[70]*lu1^4*f40[t]*g42[t]*g42n[t] - 13435321875687022050*Sqrt[70]*lu1^5*f40[t]*g42[t]*g42n[t] + 115533545891706989190*Sqrt[70]*lu1^6*f40[t]*g42[t]*g42n[t] + 2392656717899918998710*Sqrt[70]*lu1^7*f40[t]*g42[t]*g42n[t] + 12182421107570598338580*Sqrt[70]*lu1^8*f40[t]*g42[t]*g42n[t] + 3914969863425340310280*Sqrt[70]*lu1^9*f40[t]*g42[t]*g42n[t] - 1056132376526750620391280*Sqrt[70]*lu1^10*f40[t]*g42[t]*g42n[t] - 2740309021201530222980640*Sqrt[70]*lu1^11*f40[t]*g42[t]*g42n[t] + 7981093473358057096996800*Sqrt[70]*lu1^12*f40[t]*g42[t]*g42n[t] + 33073918621213155459120000*Sqrt[70]*lu1^13*f40[t]*g42[t]*g42n[t] + 26050912027874017593120000*Sqrt[70]*lu1^14*f40[t]*g42[t]*g42n[t] - 5528243203716187785600000*Sqrt[70]*lu1^15*f40[t]*g42[t]*g42n[t] - 3277214316810*f44n[t]*g42n[t]^2 + 847796096227626*lu1*f44n[t]* g42n[t]^2 - 17867687497332246*lu1^2*f44n[t]*g42n[t]^2 - 1539282005321016726*lu1^3*f44n[t]*g42n[t]^2 + 25777942502168729502* lu1^4*f44n[t]*g42n[t]^2 + 605211183024975822582*lu1^5*f44n[t]* g42n[t]^2 - 5495818353608784319650*lu1^6*f44n[t]*g42n[t]^2 - 97565409717602597691858*lu1^7*f44n[t]*g42n[t]^2 + 74067367579773931555668*lu1^8*f44n[t]*g42n[t]^2 + 5098711158970515754361064*lu1^9*f44n[t]*g42n[t]^2 + 17987410403220971493227664*lu1^10*f44n[t]*g42n[t]^2 - 89937349088044470771425184*lu1^11*f44n[t]*g42n[t]^2 - 443612336759361812578761792*lu1^12*f44n[t]*g42n[t]^2 - 428373120439736159951975040*lu1^13*f44n[t]*g42n[t]^2 + 203573232647209187569900800*lu1^14*f44n[t]*g42n[t]^2 + 291100167561153440568960000*lu1^15*f44n[t]*g42n[t]^2 - 21247776688320*Sqrt[3]*f22n[t]*f42[t]*g44[t] + 689917195290960*Sqrt[3]*lu1*f22n[t]*f42[t]*g44[t] + 42455081932295760*Sqrt[3]*lu1^2*f22n[t]*f42[t]*g44[t] - 1025229239375730480*Sqrt[3]*lu1^3*f22n[t]*f42[t]*g44[t] + 4441340676331999440*Sqrt[3]*lu1^4*f22n[t]*f42[t]*g44[t] + 95574343421667779760*Sqrt[3]*lu1^5*f22n[t]*f42[t]*g44[t] - 4673798366986432516560*Sqrt[3]*lu1^6*f22n[t]*f42[t]*g44[t] + 33532680828923766912240*Sqrt[3]*lu1^7*f22n[t]*f42[t]*g44[t] + 595086106474582739256240*Sqrt[3]*lu1^8*f22n[t]*f42[t]*g44[t] - 4247637273954105651721920*Sqrt[3]*lu1^9*f22n[t]*f42[t]*g44[t] - 36098403432807979038484800*Sqrt[3]*lu1^10*f22n[t]*f42[t]*g44[t] + 12480174358900193917520640*Sqrt[3]*lu1^11*f22n[t]*f42[t]*g44[t] + 955905316241390529580151040*Sqrt[3]*lu1^12*f22n[t]*f42[t]*g44[t] + 2593223429758332408409881600*Sqrt[3]*lu1^13*f22n[t]*f42[t]*g44[t] + 1869063026950615238520960000*Sqrt[3]*lu1^14*f22n[t]*f42[t]*g44[t] - 5398615818338998993920000*Sqrt[3]*lu1^15*f22n[t]*f42[t]*g44[t] + 594399623267520*f44[t]*f44n[t]*g44[t] - 38824278017462784*lu1*f44[t]* f44n[t]*g44[t] - 1438403693710366656*lu1^2*f44[t]*f44n[t]*g44[t] + 88297039828487012544*lu1^3*f44[t]*f44n[t]*g44[t] + 2022237492774001215552*lu1^4*f44[t]*f44n[t]*g44[t] - 68110762152576725725248*lu1^5*f44[t]*f44n[t]*g44[t] - 1224975494050685670928320*lu1^6*f44[t]*f44n[t]*g44[t] + 15040849932306096395821632*lu1^7*f44[t]*f44n[t]*g44[t] + 166887442849022812301188608*lu1^8*f44[t]*f44n[t]*g44[t] - 718126620093699601511353536*lu1^9*f44[t]*f44n[t]*g44[t] - 3935937641804958824365113216*lu1^10*f44[t]*f44n[t]*g44[t] + 277276487893550710156118016*lu1^11*f44[t]*f44n[t]*g44[t] + 15217630845391057204646396928*lu1^12*f44[t]*f44n[t]*g44[t] + 12873392486329908842353013760*lu1^13*f44[t]*f44n[t]*g44[t] - 2956870499730970316810803200*lu1^14*f44[t]*f44n[t]*g44[t] - 3135127020335728120765440000*lu1^15*f44[t]*f44n[t]*g44[t] - 5074290675090*f22n[t]*g22[t]*g44[t] + 396486228206250*lu1*f22n[t]* g22[t]*g44[t] + 6514745759080650*lu1^2*f22n[t]*g22[t]*g44[t] - 844002694169017110*lu1^3*f22n[t]*g22[t]*g44[t] + 2968149994967372670*lu1^4*f22n[t]*g22[t]*g44[t] + 230785813617564831990*lu1^5*f22n[t]*g22[t]*g44[t] + 791906382314683520430*lu1^6*f22n[t]*g22[t]*g44[t] - 31444635924168559280370*lu1^7*f22n[t]*g22[t]*g44[t] - 355853291180273241684420*lu1^8*f22n[t]*g22[t]*g44[t] + 1709843124111027471132840*lu1^9*f22n[t]*g22[t]*g44[t] + 29098712271422942725143840*lu1^10*f22n[t]*g22[t]*g44[t] + 1381848182624805541114560*lu1^11*f22n[t]*g22[t]*g44[t] - 562619321383502002552645440*lu1^12*f22n[t]*g22[t]*g44[t] - 1605508939177969410852758400*lu1^13*f22n[t]*g22[t]*g44[t] - 1584872310802643703317568000*lu1^14*f22n[t]*g22[t]*g44[t] - 486364854708163807346880000*lu1^15*f22n[t]*g22[t]*g44[t] + 2564657115930*Sqrt[3]*f42n[t]*g22[t]*g44[t] - 384795588840390*Sqrt[3]* lu1*f42n[t]*g22[t]*g44[t] - 477808328456550*Sqrt[3]*lu1^2*f42n[t]* g22[t]*g44[t] + 872402021969022090*Sqrt[3]*lu1^3*f42n[t]*g22[t]* g44[t] - 2334533374213865370*Sqrt[3]*lu1^4*f42n[t]*g22[t]*g44[t] - 198890276565292693290*Sqrt[3]*lu1^5*f42n[t]*g22[t]*g44[t] - 2365648441074638376930*Sqrt[3]*lu1^6*f42n[t]*g22[t]*g44[t] + 17973978351798462419790*Sqrt[3]*lu1^7*f42n[t]*g22[t]*g44[t] + 568035907789535680065480*Sqrt[3]*lu1^8*f42n[t]*g22[t]*g44[t] - 8474162617689823421640*Sqrt[3]*lu1^9*f42n[t]*g22[t]*g44[t] - 30039781492391838484262400*Sqrt[3]*lu1^10*f42n[t]*g22[t]*g44[t] - 27057351368304592618701600*Sqrt[3]*lu1^11*f42n[t]*g22[t]*g44[t] + 368429929239715345397566080*Sqrt[3]*lu1^12*f42n[t]*g22[t]*g44[t] + 835226920254661760909865600*Sqrt[3]*lu1^13*f42n[t]*g22[t]*g44[t] + 317838147027443574936768000*Sqrt[3]*lu1^14*f42n[t]*g22[t]*g44[t] - 218513635130506115836800000*Sqrt[3]*lu1^15*f42n[t]*g22[t]*g44[t] - 2564657115930*Sqrt[3]*f42[t]*g22n[t]*g44[t] + 384795588840390*Sqrt[3]* lu1*f42[t]*g22n[t]*g44[t] + 477808328456550*Sqrt[3]*lu1^2*f42[t]* g22n[t]*g44[t] - 872402021969022090*Sqrt[3]*lu1^3*f42[t]*g22n[t]* g44[t] + 2334533374213865370*Sqrt[3]*lu1^4*f42[t]*g22n[t]*g44[t] + 198890276565292693290*Sqrt[3]*lu1^5*f42[t]*g22n[t]*g44[t] + 2365648441074638376930*Sqrt[3]*lu1^6*f42[t]*g22n[t]*g44[t] - 17973978351798462419790*Sqrt[3]*lu1^7*f42[t]*g22n[t]*g44[t] - 568035907789535680065480*Sqrt[3]*lu1^8*f42[t]*g22n[t]*g44[t] + 8474162617689823421640*Sqrt[3]*lu1^9*f42[t]*g22n[t]*g44[t] + 30039781492391838484262400*Sqrt[3]*lu1^10*f42[t]*g22n[t]*g44[t] + 27057351368304592618701600*Sqrt[3]*lu1^11*f42[t]*g22n[t]*g44[t] - 368429929239715345397566080*Sqrt[3]*lu1^12*f42[t]*g22n[t]*g44[t] - 835226920254661760909865600*Sqrt[3]*lu1^13*f42[t]*g22n[t]*g44[t] - 317838147027443574936768000*Sqrt[3]*lu1^14*f42[t]*g22n[t]*g44[t] + 218513635130506115836800000*Sqrt[3]*lu1^15*f42[t]*g22n[t]*g44[t] + 1722330931230*Sqrt[3]*f22n[t]*g42[t]*g44[t] - 92644711704090*Sqrt[3]* lu1*f22n[t]*g42[t]*g44[t] - 3819883572962730*Sqrt[3]*lu1^2*f22n[t]* g42[t]*g44[t] + 193992515460632070*Sqrt[3]*lu1^3*f22n[t]*g42[t]* g44[t] + 1897715183319929610*Sqrt[3]*lu1^4*f22n[t]*g42[t]*g44[t] - 57155933224910058630*Sqrt[3]*lu1^5*f22n[t]*g42[t]*g44[t] - 956685595866763316190*Sqrt[3]*lu1^6*f22n[t]*g42[t]*g44[t] + 7705425990545475096450*Sqrt[3]*lu1^7*f22n[t]*g42[t]*g44[t] + 153924608689678934474640*Sqrt[3]*lu1^8*f22n[t]*g42[t]*g44[t] - 312829704477684275143080*Sqrt[3]*lu1^9*f22n[t]*g42[t]*g44[t] - 7543537881294702445420080*Sqrt[3]*lu1^10*f22n[t]*g42[t]*g44[t] - 1097995019098871509062720*Sqrt[3]*lu1^11*f22n[t]*g42[t]*g44[t] + 99734633586848598355355520*Sqrt[3]*lu1^12*f22n[t]*g42[t]*g44[t] + 229809431752393176300489600*Sqrt[3]*lu1^13*f22n[t]*g42[t]*g44[t] + 167298282478831084884576000*Sqrt[3]*lu1^14*f22n[t]*g42[t]*g44[t] + 26733243552033477251520000*Sqrt[3]*lu1^15*f22n[t]*g42[t]*g44[t] - 4205300703030*f42n[t]*g42[t]*g44[t] + 339124711513014*lu1*f42n[t]* g42[t]*g44[t] + 1109231676980406*lu1^2*f42n[t]*g42[t]*g44[t] - 155004632411456394*lu1^3*f42n[t]*g42[t]*g44[t] - 5976079657260644862*lu1^4*f42n[t]*g42[t]*g44[t] - 175016727425242921302*lu1^5*f42n[t]*g42[t]*g44[t] + 5190976336659025643010*lu1^6*f42n[t]*g42[t]*g44[t] + 44699347048599914340978*lu1^7*f42n[t]*g42[t]*g44[t] - 753158213102039571071028*lu1^8*f42n[t]*g42[t]*g44[t] - 3270801039961788464126184*lu1^9*f42n[t]*g42[t]*g44[t] + 33236763579790928707593456*lu1^10*f42n[t]*g42[t]*g44[t] + 86346759320466055057098144*lu1^11*f42n[t]*g42[t]*g44[t] - 310044762816180637220111808*lu1^12*f42n[t]*g42[t]*g44[t] - 1220655998283107308427836800*lu1^13*f42n[t]*g42[t]*g44[t] - 1355003103190546459820217600*lu1^14*f42n[t]*g42[t]*g44[t] - 521402651622307639062144000*lu1^15*f42n[t]*g42[t]*g44[t] + 4205300703030*f42[t]*g42n[t]*g44[t] - 339124711513014*lu1*f42[t]* g42n[t]*g44[t] - 1109231676980406*lu1^2*f42[t]*g42n[t]*g44[t] + 155004632411456394*lu1^3*f42[t]*g42n[t]*g44[t] + 5976079657260644862*lu1^4*f42[t]*g42n[t]*g44[t] + 175016727425242921302*lu1^5*f42[t]*g42n[t]*g44[t] - 5190976336659025643010*lu1^6*f42[t]*g42n[t]*g44[t] - 44699347048599914340978*lu1^7*f42[t]*g42n[t]*g44[t] + 753158213102039571071028*lu1^8*f42[t]*g42n[t]*g44[t] + 3270801039961788464126184*lu1^9*f42[t]*g42n[t]*g44[t] - 33236763579790928707593456*lu1^10*f42[t]*g42n[t]*g44[t] - 86346759320466055057098144*lu1^11*f42[t]*g42n[t]*g44[t] + 310044762816180637220111808*lu1^12*f42[t]*g42n[t]*g44[t] + 1220655998283107308427836800*lu1^13*f42[t]*g42n[t]*g44[t] + 1355003103190546459820217600*lu1^14*f42[t]*g42n[t]*g44[t] + 521402651622307639062144000*lu1^15*f42[t]*g42n[t]*g44[t] - 15676498056240*f44n[t]*g44[t]^2 + 1473795013382496*lu1*f44n[t]* g44[t]^2 - 8633962854772416*lu1^2*f44n[t]*g44[t]^2 - 1035214345703444256*lu1^3*f44n[t]*g44[t]^2 + 1155069778680834912* lu1^4*f44n[t]*g44[t]^2 + 112089280847258367072*lu1^5*f44n[t]* g44[t]^2 + 6453766346054521576320*lu1^6*f44n[t]*g44[t]^2 - 979451848624129963488*lu1^7*f44n[t]*g44[t]^2 - 1524003165585251548675632*lu1^8*f44n[t]*g44[t]^2 - 1760838959378877854164416*lu1^9*f44n[t]*g44[t]^2 + 89985696022932361407814464*lu1^10*f44n[t]*g44[t]^2 + 97885196940252946889016576*lu1^11*f44n[t]*g44[t]^2 - 1174747335041431189175945472*lu1^12*f44n[t]*g44[t]^2 - 3297411145731637295245624320*lu1^13*f44n[t]*g44[t]^2 - 2829627613865788323051340800*lu1^14*f44n[t]*g44[t]^2 - 633142116191414433719808000*lu1^15*f44n[t]*g44[t]^2 - 5410894097700*f22n[t]^2*g44n[t] - 2430228570800940*lu1*f22n[t]^2* g44n[t] + 107503164410782140*lu1^2*f22n[t]^2*g44n[t] + 5619676110615223020*lu1^3*f22n[t]^2*g44n[t] - 171297098600906367180* lu1^4*f22n[t]^2*g44n[t] - 1471990506422942354940*lu1^5*f22n[t]^2* g44n[t] + 36987665147371765603140*lu1^6*f22n[t]^2*g44n[t] + 61889137282303324926660*lu1^7*f22n[t]^2*g44n[t] - 2283230205951756716796960*lu1^8*f22n[t]^2*g44n[t] - 2059440157370075862705960*lu1^9*f22n[t]^2*g44n[t] + 70032566749680079495051920*lu1^10*f22n[t]^2*g44n[t] + 139197646192761171321764640*lu1^11*f22n[t]^2*g44n[t] - 730964523851695285289504640*lu1^12*f22n[t]^2*g44n[t] - 2334156426089731901558409600*lu1^13*f22n[t]^2*g44n[t] - 2192091978332321868976992000*lu1^14*f22n[t]^2*g44n[t] - 656464669798088851277760000*lu1^15*f22n[t]^2*g44n[t] - 140404747814730*f40[t]^2*g44n[t] - 18258869352881430*lu1*f40[t]^2* g44n[t] + 798291974224296090*lu1^2*f40[t]^2*g44n[t] + 47638281259079012250*lu1^3*f40[t]^2*g44n[t] - 548815091916121840530* lu1^4*f40[t]^2*g44n[t] - 12930455643703907978970*lu1^5*f40[t]^2* g44n[t] - 47023182435497191543410*lu1^6*f40[t]^2*g44n[t] - 146325510657512358774210*lu1^7*f40[t]^2*g44n[t] + 8190305341117123654762500*lu1^8*f40[t]^2*g44n[t] + 46169585783860214553722040*lu1^9*f40[t]^2*g44n[t] - 186117531609923835208440720*lu1^10*f40[t]^2*g44n[t] - 1003338380860874635415748000*lu1^11*f40[t]^2*g44n[t] - 848236193653928348769353280*lu1^12*f40[t]^2*g44n[t] + 755241865747206545426678400*lu1^13*f40[t]^2*g44n[t] + 880129364394329919751392000*lu1^14*f40[t]^2*g44n[t] + 169872374673381949027200000*lu1^15*f40[t]^2*g44n[t] - 294103690754076*f42[t]^2*g44n[t] - 29754689401236996*lu1*f42[t]^2* g44n[t] + 1629614844715661748*lu1^2*f42[t]^2*g44n[t] + 80300548238729377860*lu1^3*f42[t]^2*g44n[t] - 1226763902695170022596* lu1^4*f42[t]^2*g44n[t] - 35464493189305617339924*lu1^5*f42[t]^2* g44n[t] - 87251651510181771560052*lu1^6*f42[t]^2*g44n[t] + 1213428493219712762258028*lu1^7*f42[t]^2*g44n[t] + 22762085566767289214604720*lu1^8*f42[t]^2*g44n[t] + 54986522883454123725375528*lu1^9*f42[t]^2*g44n[t] - 597690652388865141063843984*lu1^10*f42[t]^2*g44n[t] - 2464564966961746876130164800*lu1^11*f42[t]^2*g44n[t] - 1964640402007215577523415936*lu1^12*f42[t]^2*g44n[t] + 2248697797491779097053412480*lu1^13*f42[t]^2*g44n[t] + 2895753638991901865513414400*lu1^14*f42[t]^2*g44n[t] + 459118560246910523890560000*lu1^15*f42[t]^2*g44n[t] + 63715511910960*Sqrt[3]*f22n[t]*f42n[t]*g44n[t] + 7700981402303280*Sqrt[3]*lu1*f22n[t]*f42n[t]*g44n[t] - 435172715880608160*Sqrt[3]*lu1^2*f22n[t]*f42n[t]*g44n[t] - 20746606204700812800*Sqrt[3]*lu1^3*f22n[t]*f42n[t]*g44n[t] + 493755113622238409760*Sqrt[3]*lu1^4*f22n[t]*f42n[t]*g44n[t] + 8270469917189370989280*Sqrt[3]*lu1^5*f22n[t]*f42n[t]*g44n[t] - 62815798521481381434240*Sqrt[3]*lu1^6*f22n[t]*f42n[t]*g44n[t] - 540272270123754631182720*Sqrt[3]*lu1^7*f22n[t]*f42n[t]*g44n[t] + 477374621119964817303600*Sqrt[3]*lu1^8*f22n[t]*f42n[t]*g44n[t] + 13647846920307185423575920*Sqrt[3]*lu1^9*f22n[t]*f42n[t]*g44n[t] + 18586551227508155976258720*Sqrt[3]*lu1^10*f22n[t]*f42n[t]*g44n[t] - 60010698414005452484716800*Sqrt[3]*lu1^11*f22n[t]*f42n[t]*g44n[t] - 185383130916324356451072000*Sqrt[3]*lu1^12*f22n[t]*f42n[t]*g44n[t] + 54719643911617303960723200*Sqrt[3]*lu1^13*f22n[t]*f42n[t]*g44n[t] + 404572079626606676226624000*Sqrt[3]*lu1^14*f22n[t]*f42n[t]*g44n[t] + 202655185023971608830720000*Sqrt[3]*lu1^15*f22n[t]*f42n[t]*g44n[t] - 294103690754076*f42n[t]^2*g44n[t] - 29754689401236996*lu1*f42n[t]^2* g44n[t] + 1629614844715661748*lu1^2*f42n[t]^2*g44n[t] + 80300548238729377860*lu1^3*f42n[t]^2*g44n[t] - 1226763902695170022596* lu1^4*f42n[t]^2*g44n[t] - 35464493189305617339924*lu1^5*f42n[t]^2* g44n[t] - 87251651510181771560052*lu1^6*f42n[t]^2*g44n[t] + 1213428493219712762258028*lu1^7*f42n[t]^2*g44n[t] + 22762085566767289214604720*lu1^8*f42n[t]^2*g44n[t] + 54986522883454123725375528*lu1^9*f42n[t]^2*g44n[t] - 597690652388865141063843984*lu1^10*f42n[t]^2*g44n[t] - 2464564966961746876130164800*lu1^11*f42n[t]^2*g44n[t] - 1964640402007215577523415936*lu1^12*f42n[t]^2*g44n[t] + 2248697797491779097053412480*lu1^13*f42n[t]^2*g44n[t] + 2895753638991901865513414400*lu1^14*f42n[t]^2*g44n[t] + 459118560246910523890560000*lu1^15*f42n[t]^2*g44n[t] - 432800027253972*f44[t]^2*g44n[t] - 5319536135529420*lu1*f44[t]^2* g44n[t] + 2149612592164890804*lu1^2*f44[t]^2*g44n[t] + 2112109899490326708*lu1^3*f44[t]^2*g44n[t] - 2334861536924298503268* lu1^4*f44[t]^2*g44n[t] + 1210880197444969158156*lu1^5*f44[t]^2* g44n[t] + 756426733112066287748316*lu1^6*f44[t]^2*g44n[t] - 2126541554513005780749060*lu1^7*f44[t]^2*g44n[t] - 60190909594422472782618744*lu1^8*f44[t]^2*g44n[t] + 248760748866863027446515024*lu1^9*f44[t]^2*g44n[t] + 895537860507451750628891040*lu1^10*f44[t]^2*g44n[t] - 2581136248526372084192678208*lu1^11*f44[t]^2*g44n[t] - 7827280546236077149237155456*lu1^12*f44[t]^2*g44n[t] - 923246288898950262220504320*lu1^13*f44[t]^2*g44n[t] + 7360045980240615656304038400*lu1^14*f44[t]^2*g44n[t] + 3050772322239912523357440000*lu1^15*f44[t]^2*g44n[t] + 161599596013548*f44n[t]^2*g44n[t] - 44143814152992204*lu1*f44n[t]^2* g44n[t] + 711208898454524148*lu1^2*f44n[t]^2*g44n[t] + 90409149727977339252*lu1^3*f44n[t]^2*g44n[t] - 312624044150297287716* lu1^4*f44n[t]^2*g44n[t] - 66899881955131756567092*lu1^5*f44n[t]^2* g44n[t] - 468548760938619383180004*lu1^6*f44n[t]^2*g44n[t] + 12914308377793090615072572*lu1^7*f44n[t]^2*g44n[t] + 106696533254600339518569864*lu1^8*f44n[t]^2*g44n[t] - 469365871226836574064838512*lu1^9*f44n[t]^2*g44n[t] - 3040399781297507073736222176*lu1^10*f44n[t]^2*g44n[t] - 2303859760632821374036560192*lu1^11*f44n[t]^2*g44n[t] + 7390350299154980055409241472*lu1^12*f44n[t]^2*g44n[t] + 11950146197430958580132509440*lu1^13*f44n[t]^2*g44n[t] + 4403175480509645339493235200*lu1^14*f44n[t]^2*g44n[t] - 84354698095815597408000000*lu1^15*f44n[t]^2*g44n[t] - 1894156901910*Sqrt[5]*f40[t]*g20[t]*g44n[t] - 115188578290422*Sqrt[5]* lu1*f40[t]*g20[t]*g44n[t] + 10999139001582186*Sqrt[5]*lu1^2*f40[t]* g20[t]*g44n[t] + 317283099563782170*Sqrt[5]*lu1^3*f40[t]*g20[t]* g44n[t] - 13723078679892597834*Sqrt[5]*lu1^4*f40[t]*g20[t]*g44n[t] - 131987223659655339066*Sqrt[5]*lu1^5*f40[t]*g20[t]*g44n[t] + 3955195502565201676782*Sqrt[5]*lu1^6*f40[t]*g20[t]*g44n[t] + 20518530724164651909822*Sqrt[5]*lu1^7*f40[t]*g20[t]*g44n[t] - 347641093139603241789720*Sqrt[5]*lu1^8*f40[t]*g20[t]*g44n[t] - 1081271784903874469018568*Sqrt[5]*lu1^9*f40[t]*g20[t]*g44n[t] + 13015249668641151069753888*Sqrt[5]*lu1^10*f40[t]*g20[t]*g44n[t] + 62894997580164935374923552*Sqrt[5]*lu1^11*f40[t]*g20[t]*g44n[t] + 60956722431631133912488320*Sqrt[5]*lu1^12*f40[t]*g20[t]*g44n[t] - 101531830509086286865046400*Sqrt[5]*lu1^13*f40[t]*g20[t]*g44n[t] - 185677452383672540438784000*Sqrt[5]*lu1^14*f40[t]*g20[t]*g44n[t] - 71234335787175398073600000*Sqrt[5]*lu1^15*f40[t]*g20[t]*g44n[t] - 5606564737410*Sqrt[3]*f42[t]*g22[t]*g44n[t] - 391310322325650*Sqrt[3]* lu1*f42[t]*g22[t]*g44n[t] + 34188442632432270*Sqrt[3]*lu1^2*f42[t]* g22[t]*g44n[t] + 1043593592867943390*Sqrt[3]*lu1^3*f42[t]*g22[t]* g44n[t] - 43594199318631678990*Sqrt[3]*lu1^4*f42[t]*g22[t]*g44n[t] - 391338959138698167870*Sqrt[3]*lu1^5*f42[t]*g22[t]*g44n[t] + 13393821359916167463930*Sqrt[3]*lu1^6*f42[t]*g22[t]*g44n[t] + 69269850179731254758250*Sqrt[3]*lu1^7*f42[t]*g22[t]*g44n[t] - 1432570457456649304586520*Sqrt[3]*lu1^8*f42[t]*g22[t]*g44n[t] - 6333415244089823534725080*Sqrt[3]*lu1^9*f42[t]*g22[t]*g44n[t] + 47506940020397765098682400*Sqrt[3]*lu1^10*f42[t]*g22[t]*g44n[t] + 231524617066343962775537760*Sqrt[3]*lu1^11*f42[t]*g22[t]*g44n[t] + 163533153412297000443995520*Sqrt[3]*lu1^12*f42[t]*g22[t]*g44n[t] - 475376554464832337330832000*Sqrt[3]*lu1^13*f42[t]*g22[t]*g44n[t] - 706995129934972247031936000*Sqrt[3]*lu1^14*f42[t]*g22[t]*g44n[t] - 219339122512039515498240000*Sqrt[3]*lu1^15*f42[t]*g22[t]*g44n[t] + 53083804410*f22n[t]*g22n[t]*g44n[t] + 347540118577470*lu1*f22n[t]* g22n[t]*g44n[t] - 14382535955066370*lu1^2*f22n[t]*g22n[t]*g44n[t] - 779720429549478690*lu1^3*f22n[t]*g22n[t]*g44n[t] + 28045974337516199610*lu1^4*f22n[t]*g22n[t]*g44n[t] + 210092390426884659330*lu1^5*f22n[t]*g22n[t]*g44n[t] - 9733386073255570250070*lu1^6*f22n[t]*g22n[t]*g44n[t] - 22886060599072027809270*lu1^7*f22n[t]*g22n[t]*g44n[t] + 1232329810398991150375620*lu1^8*f22n[t]*g22n[t]*g44n[t] + 1994311613124736781268120*lu1^9*f22n[t]*g22n[t]*g44n[t] - 56434517812375039825094880*lu1^10*f22n[t]*g22n[t]*g44n[t] - 111703921644992717120109120*lu1^11*f22n[t]*g22n[t]*g44n[t] + 485807501540058726101586240*lu1^12*f22n[t]*g22n[t]*g44n[t] + 1641242062951038360023702400*lu1^13*f22n[t]*g22n[t]*g44n[t] + 1615658548076656810603968000*lu1^14*f22n[t]*g22n[t]*g44n[t] + 501464883203257941938880000*lu1^15*f22n[t]*g22n[t]*g44n[t] - 5606564737410*Sqrt[3]*f42n[t]*g22n[t]*g44n[t] - 391310322325650*Sqrt[3]*lu1*f42n[t]*g22n[t]*g44n[t] + 34188442632432270*Sqrt[3]*lu1^2*f42n[t]*g22n[t]*g44n[t] + 1043593592867943390*Sqrt[3]*lu1^3*f42n[t]*g22n[t]*g44n[t] - 43594199318631678990*Sqrt[3]*lu1^4*f42n[t]*g22n[t]*g44n[t] - 391338959138698167870*Sqrt[3]*lu1^5*f42n[t]*g22n[t]*g44n[t] + 13393821359916167463930*Sqrt[3]*lu1^6*f42n[t]*g22n[t]*g44n[t] + 69269850179731254758250*Sqrt[3]*lu1^7*f42n[t]*g22n[t]*g44n[t] - 1432570457456649304586520*Sqrt[3]*lu1^8*f42n[t]*g22n[t]*g44n[t] - 6333415244089823534725080*Sqrt[3]*lu1^9*f42n[t]*g22n[t]*g44n[t] + 47506940020397765098682400*Sqrt[3]*lu1^10*f42n[t]*g22n[t]*g44n[t] + 231524617066343962775537760*Sqrt[3]*lu1^11*f42n[t]*g22n[t]*g44n[t] + 163533153412297000443995520*Sqrt[3]*lu1^12*f42n[t]*g22n[t]*g44n[t] - 475376554464832337330832000*Sqrt[3]*lu1^13*f42n[t]*g22n[t]*g44n[t] - 706995129934972247031936000*Sqrt[3]*lu1^14*f42n[t]*g22n[t]*g44n[t] - 219339122512039515498240000*Sqrt[3]*lu1^15*f42n[t]*g22n[t]*g44n[t] + 3036515502510*f40[t]*g40[t]*g44n[t] + 328625989409970*lu1*f40[t]* g40[t]*g44n[t] - 22758187645250190*lu1^2*f40[t]*g40[t]*g44n[t] - 744508728252196110*lu1^3*f40[t]*g40[t]*g44n[t] + 27495071148857861430*lu1^4*f40[t]*g40[t]*g44n[t] + 246650229419993756910*lu1^5*f40[t]*g40[t]*g44n[t] - 7154466396156571483530*lu1^6*f40[t]*g40[t]*g44n[t] - 30857830684740971558010*lu1^7*f40[t]*g40[t]*g44n[t] + 558384901197410718802980*lu1^8*f40[t]*g40[t]*g44n[t] + 647936435586753407210760*lu1^9*f40[t]*g40[t]*g44n[t] - 18686331937273480151580720*lu1^10*f40[t]*g40[t]*g44n[t] - 3414354984366041951857440*lu1^11*f40[t]*g40[t]*g44n[t] + 243051384793783446504872640*lu1^12*f40[t]*g40[t]*g44n[t] + 485784735336818126680060800*lu1^13*f40[t]*g40[t]*g44n[t] + 271735314700719988780704000*lu1^14*f40[t]*g40[t]*g44n[t] + 35458275356475075216000000*lu1^15*f40[t]*g40[t]*g44n[t] + 2868169165470*f42[t]*g42[t]*g44n[t] + 706509055297458*lu1*f42[t]* g42[t]*g44n[t] - 39478300154142318*lu1^2*f42[t]*g42[t]*g44n[t] - 1176776798871622158*lu1^3*f42[t]*g42[t]*g44n[t] + 46441007090241213366*lu1^4*f42[t]*g42[t]*g44n[t] + 308620196219315116206*lu1^5*f42[t]*g42[t]*g44n[t] - 12636527985427076851050*lu1^6*f42[t]*g42[t]*g44n[t] - 33400233469813181118714*lu1^7*f42[t]*g42[t]*g44n[t] + 1228853109596825651336244*lu1^8*f42[t]*g42[t]*g44n[t] + 1259776777553350166125512*lu1^9*f42[t]*g42[t]*g44n[t] - 47696941432686063220981488*lu1^10*f42[t]*g42[t]*g44n[t] - 33418211440207716988522272*lu1^11*f42[t]*g42[t]*g44n[t] + 546798520754858333628886464*lu1^12*f42[t]*g42[t]*g44n[t] + 1231207228210660430089207680*lu1^13*f42[t]*g42[t]*g44n[t] + 751402911010734191473286400*lu1^14*f42[t]*g42[t]*g44n[t] + 39285943411440920100480000*lu1^15*f42[t]*g42[t]*g44n[t] - 696585372210*Sqrt[3]*f22n[t]*g42n[t]*g44n[t] - 84828832935210*Sqrt[3]* lu1*f22n[t]*g42n[t]*g44n[t] + 6297515771839110*Sqrt[3]*lu1^2*f22n[t]* g42n[t]*g44n[t] + 209081598064114230*Sqrt[3]*lu1^3*f22n[t]*g42n[t]* g44n[t] - 10047828796819214310*Sqrt[3]*lu1^4*f22n[t]*g42n[t]* g44n[t] - 77848720096450646070*Sqrt[3]*lu1^5*f22n[t]*g42n[t]* g44n[t] + 3520305165550668475890*Sqrt[3]*lu1^6*f22n[t]*g42n[t]* g44n[t] + 9492644321929859576850*Sqrt[3]*lu1^7*f22n[t]*g42n[t]* g44n[t] - 387359004947015772893040*Sqrt[3]*lu1^8*f22n[t]*g42n[t]* g44n[t] - 535049263055938489633320*Sqrt[3]*lu1^9*f22n[t]*g42n[t]* g44n[t] + 14531954294097044152093200*Sqrt[3]*lu1^10*f22n[t]*g42n[t]* g44n[t] + 21496874682602269197549120*Sqrt[3]*lu1^11*f22n[t]*g42n[t]* g44n[t] - 147166359993033462789402240*Sqrt[3]*lu1^12*f22n[t]*g42n[t]* g44n[t] - 452717711934912513762691200*Sqrt[3]*lu1^13*f22n[t]*g42n[t]* g44n[t] - 434689407537011590777632000*Sqrt[3]*lu1^14*f22n[t]*g42n[t]* g44n[t] - 130674489594425479160640000*Sqrt[3]*lu1^15*f22n[t]*g42n[t]* g44n[t] + 2868169165470*f42n[t]*g42n[t]*g44n[t] + 706509055297458*lu1*f42n[t]*g42n[t]*g44n[t] - 39478300154142318*lu1^2* f42n[t]*g42n[t]*g44n[t] - 1176776798871622158*lu1^3*f42n[t]*g42n[t]* g44n[t] + 46441007090241213366*lu1^4*f42n[t]*g42n[t]*g44n[t] + 308620196219315116206*lu1^5*f42n[t]*g42n[t]*g44n[t] - 12636527985427076851050*lu1^6*f42n[t]*g42n[t]*g44n[t] - 33400233469813181118714*lu1^7*f42n[t]*g42n[t]*g44n[t] + 1228853109596825651336244*lu1^8*f42n[t]*g42n[t]*g44n[t] + 1259776777553350166125512*lu1^9*f42n[t]*g42n[t]*g44n[t] - 47696941432686063220981488*lu1^10*f42n[t]*g42n[t]*g44n[t] - 33418211440207716988522272*lu1^11*f42n[t]*g42n[t]*g44n[t] + 546798520754858333628886464*lu1^12*f42n[t]*g42n[t]*g44n[t] + 1231207228210660430089207680*lu1^13*f42n[t]*g42n[t]*g44n[t] + 751402911010734191473286400*lu1^14*f42n[t]*g42n[t]*g44n[t] + 39285943411440920100480000*lu1^15*f42n[t]*g42n[t]*g44n[t] + 6214800305700*f44[t]*g44[t]*g44n[t] + 129996458597628*lu1*f44[t]* g44[t]*g44n[t] - 32050890633464388*lu1^2*f44[t]*g44[t]*g44n[t] - 462971990923182468*lu1^3*f44[t]*g44[t]*g44n[t] + 45312278056039270836*lu1^4*f44[t]*g44[t]*g44n[t] + 348577050942716355396*lu1^5*f44[t]*g44[t]*g44n[t] - 20267762756869796788620*lu1^6*f44[t]*g44[t]*g44n[t] - 72152036966945003815404*lu1^7*f44[t]*g44[t]*g44n[t] + 2960955440006901258368664*lu1^8*f44[t]*g44[t]*g44n[t] + 7801822482582073622311152*lu1^9*f44[t]*g44[t]*g44n[t] - 134351981664656696010973728*lu1^10*f44[t]*g44[t]*g44n[t] - 258277449083829742268678592*lu1^11*f44[t]*g44[t]*g44n[t] + 1302074003305852914926888064*lu1^12*f44[t]*g44[t]*g44n[t] + 4240846889445222007959087360*lu1^13*f44[t]*g44[t]*g44n[t] + 3912483244594612155894720000*lu1^14*f44[t]*g44[t]*g44n[t] + 998863702786529215227648000*lu1^15*f44[t]*g44[t]*g44n[t] - 9461697750540*f44n[t]*g44n[t]^2 + 1603791471980124*lu1*f44n[t]* g44n[t]^2 - 40684853488236804*lu1^2*f44n[t]*g44n[t]^2 - 1498186336626626724*lu1^3*f44n[t]*g44n[t]^2 + 46467347834720105748* lu1^4*f44n[t]*g44n[t]^2 + 460666331789974722468*lu1^5*f44n[t]* g44n[t]^2 - 13813996410815275212300*lu1^6*f44n[t]*g44n[t]^2 - 73131488815569133778892*lu1^7*f44n[t]*g44n[t]^2 + 1436952274421649709693032*lu1^8*f44n[t]*g44n[t]^2 + 6040983523203195768146736*lu1^9*f44n[t]*g44n[t]^2 - 44366285641724334603159264*lu1^10*f44n[t]*g44n[t]^2 - 160392252143576795379662016*lu1^11*f44n[t]*g44n[t]^2 + 127326668264421725750942592*lu1^12*f44n[t]*g44n[t]^2 + 943435743713584712713463040*lu1^13*f44n[t]*g44n[t]^2 + 1082855630728823832843379200*lu1^14*f44n[t]*g44n[t]^2 + 365721586595114781507840000*lu1^15*f44n[t]*g44n[t]^2 + 46410*(-9 + 105*lu1 + 20612*lu1^2 + 13692*lu1^3)*f20[t]^2* (3*(174969369 - 9744863490*lu1 + 93261910311*lu1^2 + 3597826824200*lu1^3 - 94576986960849*lu1^4 + 575825676537718* lu1^5 + 63964430901865*lu1^6 - 36184160310989148*lu1^7 - 22587559379581960*lu1^8 - 323129952711075328*lu1^9 - 752312423933394480*lu1^10 + 64813167386785600*lu1^11 + 591110973284160000*lu1^12)*f44n[t] + (58715199 + 4312597680*lu1 - 130540467951*lu1^2 - 3109862152326*lu1^3 + 25024457930269*lu1^4 - 47254928223852*lu1^5 + 458950221661255*lu1^6 + 512113507350058*lu1^7 + 3935503267679788*lu1^8 - 57524954296291592*lu1^9 - 329247980245773120*lu1^10 - 717438134474393600*lu1^11 - 516080277187440000*lu1^12)*g44n[t]) + 30940*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]^2* ((3154668849 - 235263733362*lu1 + 3707210709459*lu1^2 + 56613462366420*lu1^3 - 1106389111216857*lu1^4 - 6733863105600346*lu1^5 + 9324164145687093*lu1^6 + 862390382909897744*lu1^7 + 9119860383216966368*lu1^8 + 8543872920059060840*lu1^9 - 57083404247121200416*lu1^10 - 98557127022230239200*lu1^11 - 29663738558182532800*lu1^12 + 7051696185938208000*lu1^13)*f44n[t] - 3*(-19431495 - 8967043494*lu1 + 231127012593*lu1^2 + 2569042037376*lu1^3 - 56042030602803*lu1^4 - 114814072587494* lu1^5 + 3525411544428087*lu1^6 + 3729397918200436*lu1^7 - 108505739998371398*lu1^8 - 223571842198899416*lu1^9 + 1132072655838538552*lu1^10 + 3655097176641798480*lu1^11 + 3444108552628897600*lu1^12 + 1033077490549608000*lu1^13)* g44n[t]) - 442*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]* (148309089210*Sqrt[14]*f42[t]*f42n[t] - 5011024521060*Sqrt[14]*lu1* f42[t]*f42n[t] + 10830414487770*Sqrt[14]*lu1^2*f42[t]*f42n[t] - 408086560791540*Sqrt[14]*lu1^3*f42[t]*f42n[t] - 18311370811139250*Sqrt[14]*lu1^4*f42[t]*f42n[t] + 348472140433781220*Sqrt[14]*lu1^5*f42[t]*f42n[t] - 2174467717569541410*Sqrt[14]*lu1^6*f42[t]*f42n[t] + 15133251486300524820*Sqrt[14]*lu1^7*f42[t]*f42n[t] + 124901434530912612960*Sqrt[14]*lu1^8*f42[t]*f42n[t] + 383516399560483113120*Sqrt[14]*lu1^9*f42[t]*f42n[t] + 583328719772037502560*Sqrt[14]*lu1^10*f42[t]*f42n[t] + 5712870603016008000*Sqrt[14]*lu1^11*f42[t]*f42n[t] - 446937070054614048000*Sqrt[14]*lu1^12*f42[t]*f42n[t] - 252981155185920000*Sqrt[14]*lu1^13*f42[t]*f42n[t] + 289384836300*Sqrt[5]*f40[t]*f44n[t] - 12379592118600*Sqrt[5]*lu1* f40[t]*f44n[t] + 124319771892540*Sqrt[5]*lu1^2*f40[t]*f44n[t] + 1106305428702600*Sqrt[5]*lu1^3*f40[t]*f44n[t] - 57471227099159580*Sqrt[5]*lu1^4*f40[t]*f44n[t] + 226862642477940840*Sqrt[5]*lu1^5*f40[t]*f44n[t] - 4046788235164884300*Sqrt[5]*lu1^6*f40[t]*f44n[t] + 41879197229139065880*Sqrt[5]*lu1^7*f40[t]*f44n[t] + 520682626948867034400*Sqrt[5]*lu1^8*f40[t]*f44n[t] + 929152749770345903040*Sqrt[5]*lu1^9*f40[t]*f44n[t] - 335370946835830288320*Sqrt[5]*lu1^10*f40[t]*f44n[t] - 1752564960210861417600*Sqrt[5]*lu1^11*f40[t]*f44n[t] - 1148496740701333632000*Sqrt[5]*lu1^12*f40[t]*f44n[t] - 205008840096480000000*Sqrt[5]*lu1^13*f40[t]*f44n[t] + 24670793700*f44n[t]*g20[t] - 2904167320740*lu1*f44n[t]*g20[t] + 29505326710860*lu1^2*f44n[t]*g20[t] + 1975867025747580*lu1^3* f44n[t]*g20[t] - 17481126040720860*lu1^4*f44n[t]*g20[t] - 170286137219814140*lu1^5*f44n[t]*g20[t] + 724302986156921220*lu1^6* f44n[t]*g20[t] - 15892154423824691180*lu1^7*f44n[t]*g20[t] - 120524161406091204440*lu1^8*f44n[t]*g20[t] - 328922098114189292720* lu1^9*f44n[t]*g20[t] - 223185003650870535680*lu1^10*f44n[t]* g20[t] + 464466154248990936000*lu1^11*f44n[t]*g20[t] + 770906438753957968000*lu1^12*f44n[t]*g20[t] + 291923849199813600000* lu1^13*f44n[t]*g20[t] - 1195281765*Sqrt[42]*f42n[t]*g22[t] - 301099183605*Sqrt[42]*lu1*f42n[t]*g22[t] + 8149717203615*Sqrt[42]* lu1^2*f42n[t]*g22[t] + 234855326982585*Sqrt[42]*lu1^3*f42n[t]* g22[t] - 3355269625162905*Sqrt[42]*lu1^4*f42n[t]*g22[t] - 44802783874551475*Sqrt[42]*lu1^5*f42n[t]*g22[t] + 180796786523975985*Sqrt[42]*lu1^6*f42n[t]*g22[t] + 2422506250983039815*Sqrt[42]*lu1^7*f42n[t]*g22[t] + 8384779976955985550*Sqrt[42]*lu1^8*f42n[t]*g22[t] + 6917353370967990680*Sqrt[42]*lu1^9*f42n[t]*g22[t] - 41702969921276309920*Sqrt[42]*lu1^10*f42n[t]*g22[t] - 65063944654561597200*Sqrt[42]*lu1^11*f42n[t]*g22[t] - 14303462058688324000*Sqrt[42]*lu1^12*f42n[t]*g22[t] + 46949124149760000*Sqrt[42]*lu1^13*f42n[t]*g22[t] - 1195281765*Sqrt[42]*f42[t]*g22n[t] - 301099183605*Sqrt[42]*lu1* f42[t]*g22n[t] + 8149717203615*Sqrt[42]*lu1^2*f42[t]*g22n[t] + 234855326982585*Sqrt[42]*lu1^3*f42[t]*g22n[t] - 3355269625162905*Sqrt[42]*lu1^4*f42[t]*g22n[t] - 44802783874551475*Sqrt[42]*lu1^5*f42[t]*g22n[t] + 180796786523975985*Sqrt[42]*lu1^6*f42[t]*g22n[t] + 2422506250983039815*Sqrt[42]*lu1^7*f42[t]*g22n[t] + 8384779976955985550*Sqrt[42]*lu1^8*f42[t]*g22n[t] + 6917353370967990680*Sqrt[42]*lu1^9*f42[t]*g22n[t] - 41702969921276309920*Sqrt[42]*lu1^10*f42[t]*g22n[t] - 65063944654561597200*Sqrt[42]*lu1^11*f42[t]*g22n[t] - 14303462058688324000*Sqrt[42]*lu1^12*f42[t]*g22n[t] + 46949124149760000*Sqrt[42]*lu1^13*f42[t]*g22n[t] - 490482135*Sqrt[14]*g22[t]*g22n[t] + 9101805570*Sqrt[14]*lu1*g22[t]* g22n[t] + 639406677195*Sqrt[14]*lu1^2*g22[t]*g22n[t] - 7787070591300*Sqrt[14]*lu1^3*g22[t]*g22n[t] - 286565855924205* Sqrt[14]*lu1^4*g22[t]*g22n[t] + 1816730220921330*Sqrt[14]*lu1^5* g22[t]*g22n[t] + 56831542676502165*Sqrt[14]*lu1^6*g22[t]*g22n[t] - 47184441347060160*Sqrt[14]*lu1^7*g22[t]*g22n[t] - 4407047161219517100*Sqrt[14]*lu1^8*g22[t]*g22n[t] - 16201807989347769360*Sqrt[14]*lu1^9*g22[t]*g22n[t] + 11069152973541577200*Sqrt[14]*lu1^10*g22[t]*g22n[t] + 82368183953010384000*Sqrt[14]*lu1^11*g22[t]*g22n[t] + 80962386872161080000*Sqrt[14]*lu1^12*g22[t]*g22n[t] + 21059026731943200000*Sqrt[14]*lu1^13*g22[t]*g22n[t] + 6468726096*Sqrt[5]*f44n[t]*g40[t] + 1538931094596*Sqrt[5]*lu1* f44n[t]*g40[t] - 28767814303032*Sqrt[5]*lu1^2*f44n[t]*g40[t] - 841546742962716*Sqrt[5]*lu1^3*f44n[t]*g40[t] + 5584577625314856*Sqrt[5]*lu1^4*f44n[t]*g40[t] + 120794555506761612*Sqrt[5]*lu1^5*f44n[t]*g40[t] - 28641133482235848*Sqrt[5]*lu1^6*f44n[t]*g40[t] - 5493135993315159924*Sqrt[5]*lu1^7*f44n[t]*g40[t] - 6996482693835583032*Sqrt[5]*lu1^8*f44n[t]*g40[t] + 60635485328645751552*Sqrt[5]*lu1^9*f44n[t]*g40[t] + 144828619361057217600*Sqrt[5]*lu1^10*f44n[t]*g40[t] - 1173437778084264000*Sqrt[5]*lu1^11*f44n[t]*g40[t] - 194162702073061680000*Sqrt[5]*lu1^12*f44n[t]*g40[t] - 98430796674383040000*Sqrt[5]*lu1^13*f44n[t]*g40[t] + 3679132995*Sqrt[14]*f42n[t]*g42[t] + 937047162285*Sqrt[14]*lu1* f42n[t]*g42[t] - 14825779106895*Sqrt[14]*lu1^2*f42n[t]*g42[t] - 701000294684175*Sqrt[14]*lu1^3*f42n[t]*g42[t] - 122233686828525*Sqrt[14]*lu1^4*f42n[t]*g42[t] + 42744422104128855*Sqrt[14]*lu1^5*f42n[t]*g42[t] + 306709390132656075*Sqrt[14]*lu1^6*f42n[t]*g42[t] - 1758615159679319925*Sqrt[14]*lu1^7*f42n[t]*g42[t] - 5913274658558990130*Sqrt[14]*lu1^8*f42n[t]*g42[t] + 17234229629390481360*Sqrt[14]*lu1^9*f42n[t]*g42[t] + 17752386217833668160*Sqrt[14]*lu1^10*f42n[t]*g42[t] - 131119734528451760400*Sqrt[14]*lu1^11*f42n[t]*g42[t] - 185825992611391236000*Sqrt[14]*lu1^12*f42n[t]*g42[t] - 37749459902207760000*Sqrt[14]*lu1^13*f42n[t]*g42[t] + 46666935*Sqrt[42]*g22n[t]*g42[t] + 615101850*Sqrt[42]*lu1*g22n[t]* g42[t] - 116551018935*Sqrt[42]*lu1^2*g22n[t]*g42[t] + 169167232170*Sqrt[42]*lu1^3*g22n[t]*g42[t] + 63653868381795* Sqrt[42]*lu1^4*g22n[t]*g42[t] - 89467986959790*Sqrt[42]*lu1^5* g22n[t]*g42[t] - 12548189262250725*Sqrt[42]*lu1^6*g22n[t]*g42[t] - 2640584980727970*Sqrt[42]*lu1^7*g22n[t]*g42[t] + 782304405706945890*Sqrt[42]*lu1^8*g22n[t]*g42[t] + 750887061561116940*Sqrt[42]*lu1^9*g22n[t]*g42[t] - 9189144747878584320*Sqrt[42]*lu1^10*g22n[t]*g42[t] - 23947910539005950400*Sqrt[42]*lu1^11*g22n[t]*g42[t] - 19586716364175660000*Sqrt[42]*lu1^12*g22n[t]*g42[t] - 4498181741606280000*Sqrt[42]*lu1^13*g22n[t]*g42[t] - 5*Sqrt[14]*f22n[t]*(2*Sqrt[3]*(1937506149 - 153625048416*lu1 + 1958249413728*lu1^2 + 75689362802883*lu1^3 - 1305510477873381* lu1^4 - 6605664734408650*lu1^5 + 71470617249515706*lu1^6 + 434611886985640175*lu1^7 + 2230653866646557558*lu1^8 + 5785216657037006744*lu1^9 + 1277228529222737312*lu1^10 - 1270608689646566640*lu1^11 + 7404232943741021600*lu1^12 + 4496951729920272000*lu1^13)*f42[t] + 143*(1248777 - 336392757*lu1 + 6558243921*lu1^2 + 262102060791*lu1^3 - 4496287848897*lu1^4 - 39523402965911*lu1^ 5 + 498718878259131*lu1^6 + 2301356970093517*lu1^7 - 11825994770364068*lu1^8 - 57575632807310024*lu1^9 + 127464303801303760*lu1^10 + 504894017728266000*lu1^11 + 441633766381864000*lu1^12 + 116662110882240000*lu1^13)*g22[t] - 3*Sqrt[3]*(-14794569 - 10482334173*lu1 + 203338108485*lu1^2 + 6177407865933*lu1^3 - 52572564078979*lu1^4 - 400322566784791* lu1^5 + 2080622441105459*lu1^6 + 21806677470091555*lu1^7 - 92631959140158764*lu1^8 - 459508420016205068*lu1^9 + 860719037912984864*lu1^10 + 4464641321679663920*lu1^11 + 4955154792966243200*lu1^12 + 1658352691368744000*lu1^13)* g42[t]) + 3679132995*Sqrt[14]*f42[t]*g42n[t] + 937047162285*Sqrt[14]*lu1*f42[t]*g42n[t] - 14825779106895*Sqrt[14]* lu1^2*f42[t]*g42n[t] - 701000294684175*Sqrt[14]*lu1^3*f42[t]* g42n[t] - 122233686828525*Sqrt[14]*lu1^4*f42[t]*g42n[t] + 42744422104128855*Sqrt[14]*lu1^5*f42[t]*g42n[t] + 306709390132656075*Sqrt[14]*lu1^6*f42[t]*g42n[t] - 1758615159679319925*Sqrt[14]*lu1^7*f42[t]*g42n[t] - 5913274658558990130*Sqrt[14]*lu1^8*f42[t]*g42n[t] + 17234229629390481360*Sqrt[14]*lu1^9*f42[t]*g42n[t] + 17752386217833668160*Sqrt[14]*lu1^10*f42[t]*g42n[t] - 131119734528451760400*Sqrt[14]*lu1^11*f42[t]*g42n[t] - 185825992611391236000*Sqrt[14]*lu1^12*f42[t]*g42n[t] - 37749459902207760000*Sqrt[14]*lu1^13*f42[t]*g42n[t] + 46666935*Sqrt[42]*g22[t]*g42n[t] + 615101850*Sqrt[42]*lu1*g22[t]* g42n[t] - 116551018935*Sqrt[42]*lu1^2*g22[t]*g42n[t] + 169167232170*Sqrt[42]*lu1^3*g22[t]*g42n[t] + 63653868381795* Sqrt[42]*lu1^4*g22[t]*g42n[t] - 89467986959790*Sqrt[42]*lu1^5* g22[t]*g42n[t] - 12548189262250725*Sqrt[42]*lu1^6*g22[t]*g42n[t] - 2640584980727970*Sqrt[42]*lu1^7*g22[t]*g42n[t] + 782304405706945890*Sqrt[42]*lu1^8*g22[t]*g42n[t] + 750887061561116940*Sqrt[42]*lu1^9*g22[t]*g42n[t] - 9189144747878584320*Sqrt[42]*lu1^10*g22[t]*g42n[t] - 23947910539005950400*Sqrt[42]*lu1^11*g22[t]*g42n[t] - 19586716364175660000*Sqrt[42]*lu1^12*g22[t]*g42n[t] - 4498181741606280000*Sqrt[42]*lu1^13*g22[t]*g42n[t] + 162089505*Sqrt[14]*g42[t]*g42n[t] - 12457222470*Sqrt[14]*lu1*g42[t]* g42n[t] + 122153546475*Sqrt[14]*lu1^2*g42[t]*g42n[t] + 242468392680*Sqrt[14]*lu1^3*g42[t]*g42n[t] - 1777104859545*Sqrt[14]* lu1^4*g42[t]*g42n[t] + 206864457874650*Sqrt[14]*lu1^5*g42[t]* g42n[t] - 98192708701155*Sqrt[14]*lu1^6*g42[t]*g42n[t] - 6235035022790820*Sqrt[14]*lu1^7*g42[t]*g42n[t] - 57571129140681600*Sqrt[14]*lu1^8*g42[t]*g42n[t] + 163403972119847880*Sqrt[14]*lu1^9*g42[t]*g42n[t] + 754463347826729040*Sqrt[14]*lu1^10*g42[t]*g42n[t] + 213003096830611200*Sqrt[14]*lu1^11*g42[t]*g42n[t] + 87960374232912000*Sqrt[14]*lu1^12*g42[t]*g42n[t] + 1235536088628240000*Sqrt[14]*lu1^13*g42[t]*g42n[t] + 5*Sqrt[14]*f22[t]*(4290*(976293 - 83881062*lu1 + 878227839*lu1^2 + 57909811812*lu1^3 - 924487206737*lu1^4 - 6214858033574*lu1^5 + 107757495234481*lu1^6 + 181148021822648*lu1^7 - 2310070791837076*lu1^8 - 1428252123465904*lu1^9 + 27014578479138160*lu1^10 + 66346845583648000*lu1^11 + 56674765323304000*lu1^12 + 16268547519840000*lu1^13)*f22n[t] - 2*Sqrt[3]*(1937506149 - 153625048416*lu1 + 1958249413728*lu1^2 + 75689362802883*lu1^3 - 1305510477873381*lu1^4 - 6605664734408650*lu1^5 + 71470617249515706*lu1^6 + 434611886985640175*lu1^7 + 2230653866646557558*lu1^8 + 5785216657037006744*lu1^9 + 1277228529222737312*lu1^10 - 1270608689646566640*lu1^11 + 7404232943741021600*lu1^12 + 4496951729920272000*lu1^13)*f42n[t] - 178575111*g22n[t] + 48104164251*lu1*g22n[t] - 937828880703*lu1^2*g22n[t] - 37480594693113*lu1^3*g22n[t] + 642969162392271*lu1^4*g22n[t] + 5651846624125273*lu1^5*g22n[t] - 71316799591055733*lu1^6* g22n[t] - 329094046723372931*lu1^7*g22n[t] + 1691117252162061724* lu1^8*g22n[t] + 8233315491445333432*lu1^9*g22n[t] - 18227395443586437680*lu1^10*g22n[t] - 72199844535142038000*lu1^11* g22n[t] - 63153628592606552000*lu1^12*g22n[t] - 16682681856160320000*lu1^13*g22n[t] - 44383707*Sqrt[3]*g42n[t] - 31447002519*Sqrt[3]*lu1*g42n[t] + 610014325455*Sqrt[3]*lu1^2* g42n[t] + 18532223597799*Sqrt[3]*lu1^3*g42n[t] - 157717692236937*Sqrt[3]*lu1^4*g42n[t] - 1200967700354373*Sqrt[3]* lu1^5*g42n[t] + 6241867323316377*Sqrt[3]*lu1^6*g42n[t] + 65420032410274665*Sqrt[3]*lu1^7*g42n[t] - 277895877420476292* Sqrt[3]*lu1^8*g42n[t] - 1378525260048615204*Sqrt[3]*lu1^9* g42n[t] + 2582157113738954592*Sqrt[3]*lu1^10*g42n[t] + 13393923965038991760*Sqrt[3]*lu1^11*g42n[t] + 14865464378898729600*Sqrt[3]*lu1^12*g42n[t] + 4975058074106232000* Sqrt[3]*lu1^13*g42n[t]) + 26028940140*Sqrt[5]*f40[t]*g44n[t] + 2641277836512*Sqrt[5]*lu1*f40[t]*g44n[t] - 54517205975652*Sqrt[5]* lu1^2*f40[t]*g44n[t] - 1554314250177360*Sqrt[5]*lu1^3*f40[t]* g44n[t] + 1480299007158468*Sqrt[5]*lu1^4*f40[t]*g44n[t] + 33693984876748896*Sqrt[5]*lu1^5*f40[t]*g44n[t] + 626118890911862292*Sqrt[5]*lu1^6*f40[t]*g44n[t] - 112341729490265520*Sqrt[5]*lu1^7*f40[t]*g44n[t] - 11253340277291272608*Sqrt[5]*lu1^8*f40[t]*g44n[t] - 19541790465142413888*Sqrt[5]*lu1^9*f40[t]*g44n[t] + 37453876452109172160*Sqrt[5]*lu1^10*f40[t]*g44n[t] + 90923988256432128000*Sqrt[5]*lu1^11*f40[t]*g44n[t] + 41028207749863488000*Sqrt[5]*lu1^12*f40[t]*g44n[t] + 462365379463680000*Sqrt[5]*lu1^13*f40[t]*g44n[t] + 1194127515*g20[t]*g44n[t] + 70559368110*lu1*g20[t]*g44n[t] - 3441359838735*lu1^2*g20[t]*g44n[t] - 49187668162500*lu1^3*g20[t]* g44n[t] + 1479685831402905*lu1^4*g20[t]*g44n[t] + 7040154096996510*lu1^5*g20[t]*g44n[t] - 143341121213257905*lu1^6* g20[t]*g44n[t] - 273856753924784520*lu1^7*g20[t]*g44n[t] + 3544884003581463900*lu1^8*g20[t]*g44n[t] + 2750399121695302560* lu1^9*g20[t]*g44n[t] - 43323320041608974640*lu1^10*g20[t]* g44n[t] - 122550830222416848000*lu1^11*g20[t]*g44n[t] - 119268317961194136000*lu1^12*g20[t]*g44n[t] - 37942770826396800000* lu1^13*g20[t]*g44n[t] - 213560550*Sqrt[5]*g40[t]*g44n[t] - 14947619148*Sqrt[5]*lu1*g40[t]*g44n[t] + 766481188158*Sqrt[5]*lu1^2* g40[t]*g44n[t] + 2971084505760*Sqrt[5]*lu1^3*g40[t]*g44n[t] - 280608205190922*Sqrt[5]*lu1^4*g40[t]*g44n[t] - 104799083013324*Sqrt[5]*lu1^5*g40[t]*g44n[t] + 34934222129517522* Sqrt[5]*lu1^6*g40[t]*g44n[t] + 15986485824409800*Sqrt[5]*lu1^7* g40[t]*g44n[t] - 1497332621970960768*Sqrt[5]*lu1^8*g40[t]* g44n[t] - 1408209207737745168*Sqrt[5]*lu1^9*g40[t]*g44n[t] + 16797905399038286880*Sqrt[5]*lu1^10*g40[t]*g44n[t] + 45100486557964454400*Sqrt[5]*lu1^11*g40[t]*g44n[t] + 39814447353131808000*Sqrt[5]*lu1^12*g40[t]*g44n[t] + 11557084430354400000*Sqrt[5]*lu1^13*g40[t]*g44n[t]) + 221*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]*(164356380720*Sqrt[3]*f42n[t]* f44[t] - 6159931825320*Sqrt[3]*lu1*f42n[t]*f44[t] - 115523910653760*Sqrt[3]*lu1^2*f42n[t]*f44[t] - 2405585671714680*Sqrt[3]*lu1^3*f42n[t]*f44[t] + 16910816017628400*Sqrt[3]*lu1^4*f42n[t]*f44[t] + 1309871095367403240*Sqrt[3]*lu1^5*f42n[t]*f44[t] + 1562265211942622880*Sqrt[3]*lu1^6*f42n[t]*f44[t] - 86816741773104713160*Sqrt[3]*lu1^7*f42n[t]*f44[t] - 1160234430919552154880*Sqrt[3]*lu1^8*f42n[t]*f44[t] - 518563388149536965760*Sqrt[3]*lu1^9*f42n[t]*f44[t] + 6052127485280786421120*Sqrt[3]*lu1^10*f42n[t]*f44[t] + 6994948558446901584000*Sqrt[3]*lu1^11*f42n[t]*f44[t] + 1260138552358857024000*Sqrt[3]*lu1^12*f42n[t]*f44[t] + 799046064647093760000*Sqrt[3]*lu1^13*f42n[t]*f44[t] - 1673986577760*Sqrt[3]*f42[t]*f44n[t] + 83186290814760*Sqrt[3]*lu1* f42[t]*f44n[t] - 1026589939719120*Sqrt[3]*lu1^2*f42[t]*f44n[t] - 12466276516032360*Sqrt[3]*lu1^3*f42[t]*f44n[t] + 386895327403334400*Sqrt[3]*lu1^4*f42[t]*f44n[t] - 326090876098186920*Sqrt[3]*lu1^5*f42[t]*f44n[t] + 18610585109057166960*Sqrt[3]*lu1^6*f42[t]*f44n[t] - 190731549979481047320*Sqrt[3]*lu1^7*f42[t]*f44n[t] - 2880845116280600468160*Sqrt[3]*lu1^8*f42[t]*f44n[t] - 5193477713656079675520*Sqrt[3]*lu1^9*f42[t]*f44n[t] + 2745983367616533152640*Sqrt[3]*lu1^10*f42[t]*f44n[t] + 10584021169289862000000*Sqrt[3]*lu1^11*f42[t]*f44n[t] + 6053416200811414848000*Sqrt[3]*lu1^12*f42[t]*f44n[t] + 1248681178869304320000*Sqrt[3]*lu1^13*f42[t]*f44n[t] - 3613863600*Sqrt[42]*f42n[t]*g20[t] + 681875251380*Sqrt[42]*lu1* f42n[t]*g20[t] - 12220140303540*Sqrt[42]*lu1^2*f42n[t]*g20[t] - 519617963483340*Sqrt[42]*lu1^3*f42n[t]*g20[t] + 7808350589742420*Sqrt[42]*lu1^4*f42n[t]*g20[t] + 119987254355458580*Sqrt[42]*lu1^5*f42n[t]*g20[t] - 889338301414725420*Sqrt[42]*lu1^6*f42n[t]*g20[t] - 11626248601907520820*Sqrt[42]*lu1^7*f42n[t]*g20[t] - 12627857555067636100*Sqrt[42]*lu1^8*f42n[t]*g20[t] + 61729527195972181880*Sqrt[42]*lu1^9*f42n[t]*g20[t] + 61538905667268385280*Sqrt[42]*lu1^10*f42n[t]*g20[t] - 235430955108511444800*Sqrt[42]*lu1^11*f42n[t]*g20[t] - 377409763508654392000*Sqrt[42]*lu1^12*f42n[t]*g20[t] - 130664867223822960000*Sqrt[42]*lu1^13*f42n[t]*g20[t] - 169608909960*f44n[t]*g22[t] + 18420833047680*lu1*f44n[t]*g22[t] - 252650637439200*lu1^2*f44n[t]*g22[t] - 11433030397782000*lu1^3* f44n[t]*g22[t] + 138099043201502880*lu1^4*f44n[t]*g22[t] + 2633468604614752800*lu1^5*f44n[t]*g22[t] - 13432263785566836000* lu1^6*f44n[t]*g22[t] - 248614390324786132080*lu1^7*f44n[t]* g22[t] - 500692740352814714040*lu1^8*f44n[t]*g22[t] + 1269036334229456634240*lu1^9*f44n[t]*g22[t] + 5067384633339397330080*lu1^10*f44n[t]*g22[t] + 2635689428864712628800*lu1^11*f44n[t]*g22[t] - 3917701533539469984000*lu1^12*f44n[t]*g22[t] - 2745406693134299040000*lu1^13*f44n[t]*g22[t] + 122321155320*f44[t]* g22n[t] - 6532261182720*lu1*f44[t]*g22n[t] - 40271755829760*lu1^2* f44[t]*g22n[t] + 5637443329867440*lu1^3*f44[t]*g22n[t] - 13396222280269920*lu1^4*f44[t]*g22n[t] - 1275496483885696800*lu1^5* f44[t]*g22n[t] + 864348397752228480*lu1^6*f44[t]*g22n[t] + 100547461186687809840*lu1^7*f44[t]*g22n[t] + 252150983507273901960* lu1^8*f44[t]*g22n[t] - 557151811580265283200*lu1^9*f44[t]* g22n[t] + 128024163376784569440*lu1^10*f44[t]*g22n[t] + 5960079613297427217600*lu1^11*f44[t]*g22n[t] + 8081504817735009024000*lu1^12*f44[t]*g22n[t] + 2760470158269925920000*lu1^13*f44[t]*g22n[t] + 103725765*Sqrt[14]* g20[t]*g22n[t] + 13085199270*Sqrt[14]*lu1*g20[t]*g22n[t] - 595334559105*Sqrt[14]*lu1^2*g20[t]*g22n[t] - 10645135300800* Sqrt[14]*lu1^3*g20[t]*g22n[t] + 417850113318495*Sqrt[14]*lu1^4* g20[t]*g22n[t] + 2219549217229630*Sqrt[14]*lu1^5*g20[t]*g22n[t] - 81580699526689935*Sqrt[14]*lu1^6*g20[t]*g22n[t] - 314423821138830260*Sqrt[14]*lu1^7*g20[t]*g22n[t] + 5075865038605975900*Sqrt[14]*lu1^8*g20[t]*g22n[t] + 24667430429161989040*Sqrt[14]*lu1^9*g20[t]*g22n[t] + 1186619000330249200*Sqrt[14]*lu1^10*g20[t]*g22n[t] - 97184086080829176000*Sqrt[14]*lu1^11*g20[t]*g22n[t] - 124505567560208120000*Sqrt[14]*lu1^12*g20[t]*g22n[t] - 45855553248304800000*Sqrt[14]*lu1^13*g20[t]*g22n[t] + 579254652*Sqrt[210]*f42n[t]*g40[t] - 675896528628*Sqrt[210]*lu1* f42n[t]*g40[t] + 6848361405756*Sqrt[210]*lu1^2*f42n[t]*g40[t] + 477238954902588*Sqrt[210]*lu1^3*f42n[t]*g40[t] + 393366516234372*Sqrt[210]*lu1^4*f42n[t]*g40[t] - 53399917804734876*Sqrt[210]*lu1^5*f42n[t]*g40[t] - 249440395558735596*Sqrt[210]*lu1^6*f42n[t]*g40[t] + 2391233455905203412*Sqrt[210]*lu1^7*f42n[t]*g40[t] + 4675555810356060336*Sqrt[210]*lu1^8*f42n[t]*g40[t] - 14508492594031250496*Sqrt[210]*lu1^9*f42n[t]*g40[t] - 4784983417596595200*Sqrt[210]*lu1^10*f42n[t]*g40[t] + 102250607581620331200*Sqrt[210]*lu1^11*f42n[t]*g40[t] + 145153724775579264000*Sqrt[210]*lu1^12*f42n[t]*g40[t] + 53211396096445440000*Sqrt[210]*lu1^13*f42n[t]*g40[t] - 57091635*Sqrt[70]*g22n[t]*g40[t] - 8458182810*Sqrt[70]*lu1*g22n[t]* g40[t] + 287079033735*Sqrt[70]*lu1^2*g22n[t]*g40[t] + 6600821351760*Sqrt[70]*lu1^3*g22n[t]*g40[t] - 149179971371265* Sqrt[70]*lu1^4*g22n[t]*g40[t] - 1070771261774490*Sqrt[70]*lu1^5* g22n[t]*g40[t] + 16927194497904345*Sqrt[70]*lu1^6*g22n[t]*g40[t] + 60095665905911340*Sqrt[70]*lu1^7*g22n[t]*g40[t] - 551667807202964220*Sqrt[70]*lu1^8*g22n[t]*g40[t] - 1531674787876573800*Sqrt[70]*lu1^9*g22n[t]*g40[t] + 3602320111380759600*Sqrt[70]*lu1^10*g22n[t]*g40[t] + 15836725334077430400*Sqrt[70]*lu1^11*g22n[t]*g40[t] + 17729039140133592000*Sqrt[70]*lu1^12*g22n[t]*g40[t] + 6295323059778480000*Sqrt[70]*lu1^13*g22n[t]*g40[t] + 60*Sqrt[14]*(1 + 2*lu1)*f22n[t]*(2*Sqrt[5]*(310650957 - 21927912777*lu1 + 259470858255*lu1^2 + 10979859199627*lu1^3 - 242108737245387*lu1^4 + 289421196797069*lu1^5 + 9042831161886029*lu1^6 - 21411122444032407*lu1^7 - 5791885294510310*lu1^8 + 193780734457602520*lu1^9 + 814556656718499720*lu1^10 + 1093654158305870000*lu1^11 + 359601804214296000*lu1^12)*f40[t] + 143*(320841 - 57535623*lu1 + 1029130839*lu1^2 + 46108213545*lu1^ 3 - 822264865051*lu1^4 - 8371977474561*lu1^5 + 115397454004325*lu1^6 + 628677384019811*lu1^7 - 3016794919034626*lu1^8 - 4022804585751460*lu1^9 + 22662026529159000*lu1^10 + 41909765249276000*lu1^11 + 17537616317760000*lu1^12)*g20[t] + 2*Sqrt[5]* (18630324 + 2468024181*lu1 - 60790589649*lu1^2 - 1816062929439*lu1^3 + 15427800563009*lu1^4 + 28555918091089*lu1^ 5 + 7538910893145*lu1^6 - 3758049427447289*lu1^7 + 16474990364863139*lu1^8 + 20124133418273274*lu1^9 - 209464193768279920*lu1^10 - 389571195526665800*lu1^11 - 165789422328138000*lu1^12)*g40[t]) - 70444442880*Sqrt[3]* f44n[t]*g42[t] - 12401573997960*Sqrt[3]*lu1*f44n[t]*g42[t] + 205355765142360*Sqrt[3]*lu1^2*f44n[t]*g42[t] + 7850939549769960*Sqrt[3]*lu1^3*f44n[t]*g42[t] - 11235864231596760*Sqrt[3]*lu1^4*f44n[t]*g42[t] - 721231147844859960*Sqrt[3]*lu1^5*f44n[t]*g42[t] - 2921507579500079640*Sqrt[3]*lu1^6*f44n[t]*g42[t] + 31081879776793287960*Sqrt[3]*lu1^7*f44n[t]*g42[t] + 79617947043618018840*Sqrt[3]*lu1^8*f44n[t]*g42[t] - 213287218019550346560*Sqrt[3]*lu1^9*f44n[t]*g42[t] - 745412855576435531520*Sqrt[3]*lu1^10*f44n[t]*g42[t] - 286708442035925414400*Sqrt[3]*lu1^11*f44n[t]*g42[t] + 783050621768228688000*Sqrt[3]*lu1^12*f44n[t]*g42[t] + 603165139317585600000*Sqrt[3]*lu1^13*f44n[t]*g42[t] - 57705313680*Sqrt[3]*f44[t]*g42n[t] + 246302857080*Sqrt[3]*lu1* f44[t]*g42n[t] + 72695397920040*Sqrt[3]*lu1^2*f44[t]*g42n[t] - 2414304001121880*Sqrt[3]*lu1^3*f44[t]*g42n[t] - 25229366674502760*Sqrt[3]*lu1^4*f44[t]*g42n[t] + 347736385565843400*Sqrt[3]*lu1^5*f44[t]*g42n[t] + 2796739766923404120*Sqrt[3]*lu1^6*f44[t]*g42n[t] - 19468232653106480040*Sqrt[3]*lu1^7*f44[t]*g42n[t] - 43559395667867648520*Sqrt[3]*lu1^8*f44[t]*g42n[t] + 168671553576344817600*Sqrt[3]*lu1^9*f44[t]*g42n[t] - 310685456282181120*Sqrt[3]*lu1^10*f44[t]*g42n[t] - 1385828499288030336000*Sqrt[3]*lu1^11*f44[t]*g42n[t] - 1751754081191889264000*Sqrt[3]*lu1^12*f44[t]*g42n[t] - 465651275263594560000*Sqrt[3]*lu1^13*f44[t]*g42n[t] + 118334925*Sqrt[42]*g20[t]*g42n[t] - 28591797960*Sqrt[42]*lu1*g20[t]* g42n[t] + 529871869215*Sqrt[42]*lu1^2*g20[t]*g42n[t] + 15634852418430*Sqrt[42]*lu1^3*g20[t]*g42n[t] - 248031066816045*Sqrt[42]*lu1^4*g20[t]*g42n[t] - 2519702208827940*Sqrt[42]*lu1^5*g20[t]*g42n[t] + 24972356532784905*Sqrt[42]*lu1^6*g20[t]*g42n[t] + 158832306594570030*Sqrt[42]*lu1^7*g20[t]*g42n[t] - 620882038878160440*Sqrt[42]*lu1^8*g20[t]*g42n[t] - 4615376700472170240*Sqrt[42]*lu1^9*g20[t]*g42n[t] - 4285435103465720880*Sqrt[42]*lu1^10*g20[t]*g42n[t] + 12730443963503148000*Sqrt[42]*lu1^11*g20[t]*g42n[t] + 26185250231315808000*Sqrt[42]*lu1^12*g20[t]*g42n[t] + 13158866630800800000*Sqrt[42]*lu1^13*g20[t]*g42n[t] - 157496805*Sqrt[210]*g40[t]*g42n[t] + 19280388204*Sqrt[210]*lu1* g40[t]*g42n[t] - 245193014439*Sqrt[210]*lu1^2*g40[t]*g42n[t] - 9189452358810*Sqrt[210]*lu1^3*g40[t]*g42n[t] + 106917513496221*Sqrt[210]*lu1^4*g40[t]*g42n[t] + 1323603117277992*Sqrt[210]*lu1^5*g40[t]*g42n[t] - 8529775721377521*Sqrt[210]*lu1^6*g40[t]*g42n[t] - 60683070772204530*Sqrt[210]*lu1^7*g40[t]*g42n[t] + 145542850746873744*Sqrt[210]*lu1^8*g40[t]*g42n[t] + 1208151063209703864*Sqrt[210]*lu1^9*g40[t]*g42n[t] + 568593220347252720*Sqrt[210]*lu1^10*g40[t]*g42n[t] - 5951279007948386400*Sqrt[210]*lu1^11*g40[t]*g42n[t] - 10334916573652656000*Sqrt[210]*lu1^12*g40[t]*g42n[t] - 4472384952979440000*Sqrt[210]*lu1^13*g40[t]*g42n[t] + 12*Sqrt[70]*f40[t]*(5*Sqrt[3]*(-1425298626 + 87494972031*lu1 - 1122735468624*lu1^2 - 16281576108011*lu1^3 + 353702407137814* lu1^4 - 175180604452679*lu1^5 + 3910237053395996*lu1^6 + 48080023389589459*lu1^7 - 519041411965133936*lu1^8 - 2899011953571256144*lu1^9 - 3860867053255193360*lu1^10 + 181635831483251280*lu1^11 + 1974666575777742400*lu1^12 + 69339967047232000*lu1^13)*f42n[t] - 5*(-8731746 - 6940451799*lu1 + 158075895549*lu1^2 + 5755152141373*lu1^3 - 80560565829355*lu1^4 - 932446419807673* lu1^5 + 5831200153337099*lu1^6 + 35479119735327599*lu1^7 - 38014689458512031*lu1^8 - 330406435938170036*lu1^9 + 27664034395458820*lu1^10 + 1771914259105606520*lu1^11 + 2126762791531461600*lu1^12 + 496079556401044000*lu1^13)* g22n[t] + Sqrt[3]*(50788485 - 49951155888*lu1 + 805829075988*lu1^ 2 + 20264384492510*lu1^3 - 167925235255672*lu1^4 - 2959251905185004*lu1^5 + 3422814698503912*lu1^6 + 110155023675738870*lu1^7 - 44012799687725913*lu1^8 - 807863893208447528*lu1^9 + 2456285838888824800*lu1^10 + 11165464566814470800*lu1^11 + 10889099797181642000*lu1^12 + 2426176107673080000*lu1^13)*g42n[t]) - 32047928640*Sqrt[3]* f42n[t]*g44[t] + 645341301360*Sqrt[3]*lu1*f42n[t]*g44[t] - 1139349395520*Sqrt[3]*lu1^2*f42n[t]*g44[t] - 87731903513520*Sqrt[3]* lu1^3*f42n[t]*g44[t] + 3016832584856160*Sqrt[3]*lu1^4*f42n[t]* g44[t] - 18842237802714480*Sqrt[3]*lu1^5*f42n[t]*g44[t] - 397445274388753920*Sqrt[3]*lu1^6*f42n[t]*g44[t] + 2677384103808763440*Sqrt[3]*lu1^7*f42n[t]*g44[t] + 23616725913380896800*Sqrt[3]*lu1^8*f42n[t]*g44[t] - 5629243072791058560*Sqrt[3]*lu1^9*f42n[t]*g44[t] - 623122798114554474240*Sqrt[3]*lu1^10*f42n[t]*g44[t] - 1707321472324154937600*Sqrt[3]*lu1^11*f42n[t]*g44[t] - 1235382820496395200000*Sqrt[3]*lu1^12*f42n[t]*g44[t] + 3568233402693120000*Sqrt[3]*lu1^13*f42n[t]*g44[t] - 7653530430*g22n[t]*g44[t] + 503624901780*lu1*g22n[t]*g44[t] - 1427820120090*lu1^2*g22n[t]*g44[t] - 141343327518120*lu1^3*g22n[t]* g44[t] - 524672232217770*lu1^4*g22n[t]*g44[t] + 19076802281961060*lu1^5*g22n[t]*g44[t] + 232407460157901210*lu1^6* g22n[t]*g44[t] - 1028185341067728480*lu1^7*g22n[t]*g44[t] - 19059091024019450040*lu1^8*g22n[t]*g44[t] - 2432165801291793840* lu1^9*g22n[t]*g44[t] + 366618011190299363040*lu1^10*g22n[t]* g44[t] + 1055655349035661046400*lu1^11*g22n[t]*g44[t] + 1045789327458618288000*lu1^12*g22n[t]*g44[t] + 321464497356955680000*lu1^13*g22n[t]*g44[t] + 2597784210*Sqrt[3]* g42n[t]*g44[t] - 107696274840*Sqrt[3]*lu1*g42n[t]*g44[t] - 1161624173850*Sqrt[3]*lu1^2*g42n[t]*g44[t] + 32508465205860*Sqrt[3]* lu1^3*g42n[t]*g44[t] + 612426883099710*Sqrt[3]*lu1^4*g42n[t]* g44[t] - 4470461588468400*Sqrt[3]*lu1^5*g42n[t]*g44[t] - 100542245339115510*Sqrt[3]*lu1^6*g42n[t]*g44[t] + 180445946830839060*Sqrt[3]*lu1^7*g42n[t]*g44[t] + 4951910158634191200*Sqrt[3]*lu1^8*g42n[t]*g44[t] + 1011534362495860560*Sqrt[3]*lu1^9*g42n[t]*g44[t] - 65150618015740679520*Sqrt[3]*lu1^10*g42n[t]*g44[t] - 151303958258930433600*Sqrt[3]*lu1^11*g42n[t]*g44[t] - 110480869740254496000*Sqrt[3]*lu1^12*g42n[t]*g44[t] - 17669427833826720000*Sqrt[3]*lu1^13*g42n[t]*g44[t] - 96101827920*Sqrt[3]*f42[t]*g44n[t] - 12800612442240*Sqrt[3]*lu1* f42[t]*g44n[t] + 279190512457920*Sqrt[3]*lu1^2*f42[t]*g44n[t] + 5524367452161600*Sqrt[3]*lu1^3*f42[t]*g44n[t] - 39482063490955680*Sqrt[3]*lu1^4*f42[t]*g44n[t] - 354652524476302080*Sqrt[3]*lu1^5*f42[t]*g44n[t] + 272677461812078400*Sqrt[3]*lu1^6*f42[t]*g44n[t] + 8936263019878044480*Sqrt[3]*lu1^7*f42[t]*g44n[t] + 12441825462369473520*Sqrt[3]*lu1^8*f42[t]*g44n[t] - 38986421370414470400*Sqrt[3]*lu1^9*f42[t]*g44n[t] - 122600742918163238400*Sqrt[3]*lu1^10*f42[t]*g44n[t] + 34784531000199187200*Sqrt[3]*lu1^11*f42[t]*g44n[t] + 266679361072734624000*Sqrt[3]*lu1^12*f42[t]*g44n[t] + 133945630651297920000*Sqrt[3]*lu1^13*f42[t]*g44n[t] - 80066070*g22[t]*g44n[t] - 525180722220*lu1*g22[t]*g44n[t] + 15033176391870*lu1^2*g22[t]*g44n[t] + 162995680741320*lu1^3*g22[t]* g44n[t] - 5985631829852850*lu1^4*g22[t]*g44n[t] - 18748082641205820*lu1^5*g22[t]*g44n[t] + 790385451603745410*lu1^6* g22[t]*g44n[t] + 1483907745854071440*lu1^7*g22[t]*g44n[t] - 36756533318295822360*lu1^8*g22[t]*g44n[t] - 75064584396064359600* lu1^9*g22[t]*g44n[t] + 315730795353943263840*lu1^10*g22[t]* g44n[t] + 1079167968666668630400*lu1^11*g22[t]*g44n[t] + 1066083654906104688000*lu1^12*g22[t]*g44n[t] + 331444912313467680000*lu1^13*g22[t]*g44n[t] + 1050656670*Sqrt[3]* g42[t]*g44n[t] + 140905056600*Sqrt[3]*lu1*g42[t]*g44n[t] - 5363087940630*Sqrt[3]*lu1^2*g42[t]*g44n[t] - 59956271931780*Sqrt[3]* lu1^3*g42[t]*g44n[t] + 2177068856787090*Sqrt[3]*lu1^4*g42[t]* g44n[t] + 7449187358765040*Sqrt[3]*lu1^5*g42[t]*g44n[t] - 249716441237270490*Sqrt[3]*lu1^6*g42[t]*g44n[t] - 398504465287651380*Sqrt[3]*lu1^7*g42[t]*g44n[t] + 9484085522429054880*Sqrt[3]*lu1^8*g42[t]*g44n[t] + 14595661454666838000*Sqrt[3]*lu1^9*g42[t]*g44n[t] - 95786778061592718240*Sqrt[3]*lu1^10*g42[t]*g44n[t] - 297712878416961739200*Sqrt[3]*lu1^11*g42[t]*g44n[t] - 286842640298223072000*Sqrt[3]*lu1^12*g42[t]*g44n[t] - 86369746309187040000*Sqrt[3]*lu1^13*g42[t]*g44n[t])))/ (102204102*(-3 + 13*lu1 + 38*lu1^2)^2*(-1 + 7*lu1 + 170*lu1^2)^3* (81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)*Pi) + (-((-1 + 17*lu1)*Sqrt[3*Pi]*(5*Sqrt[35]*(18 - 111*lu1 - 25*lu1^2 + 38*lu1^3)*f20[t]*(45045*(-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)* f22[t] + 14*Sqrt[3]*(7633 - 79445*lu1 + 625808*lu1^2 + 3260660*lu1^3)*f42[t] - 429*(1 + 10*lu1)^2*(-1 + 17*lu1)* (55*g22[t] - 3*Sqrt[3]*g42[t])) - 14*(-2 - 3*lu1 + 2*lu1^2)* f22[t]*(25*Sqrt[7]*(21654 - 693017*lu1 + 10436034*lu1^2 - 9079827*lu1^3 + 3926260*lu1^4)*f40[t] + 273*Sqrt[10]* (5*(3472 - 241589*lu1 - 1695088*lu1^2 + 13431941*lu1^3 + 10015920*lu1^4)*f44[t] - 121*(1 + 10*lu1)^2*(9 - 204*lu1 + 829*lu1^2 + 646*lu1^3)*g44[t])) - 5*(72949926*Sqrt[30]*f42n[t]*f44n[t] + 3626593145*Sqrt[30]*lu1* f42n[t]*f44n[t] + 34505669856*Sqrt[30]*lu1^2*f42n[t]*f44n[t] - 22162796579*Sqrt[30]*lu1^3*f42n[t]*f44n[t] - 110759466328* Sqrt[30]*lu1^4*f42n[t]*f44n[t] + 17361032220*Sqrt[30]*lu1^5* f42n[t]*f44n[t] + 19508624800*Sqrt[30]*lu1^6*f42n[t]*f44n[t] - 495495*Sqrt[7*Pi]*g22[t] + 330330*lu1*Sqrt[7*Pi]*g22[t] + 132076945*lu1^2*Sqrt[7*Pi]*g22[t] + 433613180*lu1^3*Sqrt[7*Pi]* g22[t] - 4925880960*lu1^4*Sqrt[7*Pi]*g22[t] - 14107293200*lu1^5* Sqrt[7*Pi]*g22[t] - 7113106000*lu1^6*Sqrt[7*Pi]*g22[t] + 1169220*Sqrt[7]*f40[t]*g22[t] - 4530630*Sqrt[7]*lu1*f40[t]* g22[t] - 228219290*Sqrt[7]*lu1^2*f40[t]*g22[t] - 629444270*Sqrt[7]*lu1^3*f40[t]*g22[t] + 924616290*Sqrt[7]*lu1^4* f40[t]*g22[t] + 5891229760*Sqrt[7]*lu1^5*f40[t]*g22[t] - 3083701400*Sqrt[7]*lu1^6*f40[t]*g22[t] - 853944*Sqrt[10]*f44[t]* g22[t] - 19929728*Sqrt[10]*lu1*f44[t]*g22[t] + 107016182*Sqrt[10]*lu1^2*f44[t]*g22[t] + 5866459144*Sqrt[10]* lu1^3*f44[t]*g22[t] + 37931585146*Sqrt[10]*lu1^4*f44[t]*g22[t] + 11968355672*Sqrt[10]*lu1^5*f44[t]*g22[t] - 16206433880*Sqrt[10]* lu1^6*f44[t]*g22[t] + 853944*Sqrt[10]*f44n[t]*g22n[t] + 19929728*Sqrt[10]*lu1*f44n[t]*g22n[t] - 107016182*Sqrt[10]*lu1^2* f44n[t]*g22n[t] - 5866459144*Sqrt[10]*lu1^3*f44n[t]*g22n[t] - 37931585146*Sqrt[10]*lu1^4*f44n[t]*g22n[t] - 11968355672*Sqrt[10]* lu1^5*f44n[t]*g22n[t] + 16206433880*Sqrt[10]*lu1^6*f44n[t]* g22n[t] + 27027*Sqrt[21*Pi]*g42[t] - 18018*lu1*Sqrt[21*Pi]* g42[t] - 7204197*lu1^2*Sqrt[21*Pi]*g42[t] - 23651628*lu1^3* Sqrt[21*Pi]*g42[t] + 268684416*lu1^4*Sqrt[21*Pi]*g42[t] + 769488720*lu1^5*Sqrt[21*Pi]*g42[t] + 387987600*lu1^6*Sqrt[21*Pi]* g42[t] - 706620*Sqrt[21]*f40[t]*g42[t] + 4678810*Sqrt[21]*lu1* f40[t]*g42[t] + 144306630*Sqrt[21]*lu1^2*f40[t]*g42[t] - 79479190*Sqrt[21]*lu1^3*f40[t]*g42[t] - 4031950550*Sqrt[21]*lu1^4* f40[t]*g42[t] - 5156361600*Sqrt[21]*lu1^5*f40[t]*g42[t] + 3586949000*Sqrt[21]*lu1^6*f40[t]*g42[t] - 202776*Sqrt[30]*f44[t]* g42[t] + 26096*Sqrt[30]*lu1*f44[t]*g42[t] + 78206310*Sqrt[30]* lu1^2*f44[t]*g42[t] + 43597456*Sqrt[30]*lu1^3*f44[t]*g42[t] - 6119566894*Sqrt[30]*lu1^4*f44[t]*g42[t] - 7367341800*Sqrt[30]* lu1^5*f44[t]*g42[t] + 5203227400*Sqrt[30]*lu1^6*f44[t]*g42[t] + 202776*Sqrt[30]*f44n[t]*g42n[t] - 26096*Sqrt[30]*lu1*f44n[t]* g42n[t] - 78206310*Sqrt[30]*lu1^2*f44n[t]*g42n[t] - 43597456*Sqrt[30]*lu1^3*f44n[t]*g42n[t] + 6119566894*Sqrt[30]* lu1^4*f44n[t]*g42n[t] + 7367341800*Sqrt[30]*lu1^5*f44n[t]* g42n[t] - 5203227400*Sqrt[30]*lu1^6*f44n[t]*g42n[t] + 7*Sqrt[3]*(-2 + lu1)*f42[t]*(2*lu1^3*(-335288820*Sqrt[7]*f40[t] + 7*(4657510*Sqrt[7*Pi] - 246395772*Sqrt[10]*f44[t] - 719797*Sqrt[35]*g20[t] + 439695*Sqrt[7]*g40[t] - 3144141*Sqrt[10]*g44[t])) + 3*(-543055*Sqrt[7]*f40[t] + 7*(4290*Sqrt[7*Pi] + 83927*Sqrt[10]*f44[t] - 663*Sqrt[35]* g20[t] + 405*Sqrt[7]*g40[t] + 3003*Sqrt[10]*g44[t])) + 2*lu1*(8828615*Sqrt[7]*f40[t] - 7*(68640*Sqrt[7*Pi] - 10411409*Sqrt[10]*f44[t] - 10608*Sqrt[35]*g20[t] + 6480*Sqrt[7]*g40[t] + 6006*Sqrt[10]*g44[t])) + 40*lu1^5*(38776480*Sqrt[7]*f40[t] + 119*(27170*Sqrt[7*Pi] + 184560*Sqrt[10]*f44[t] - 4199*Sqrt[35]*g20[t] + 2565*Sqrt[7]*g40[t] + 285285*Sqrt[10]*g44[t])) - lu1^2*(149172125*Sqrt[7]*f40[t] + 7*(2057770*Sqrt[7*Pi] - 168628245*Sqrt[10]*f44[t] - 318019*Sqrt[35]*g20[t] + 194265*Sqrt[7]*g40[t] + 2393391*Sqrt[10]*g44[t])) + 4*lu1^4*(22426825*Sqrt[7]*f40[t] + 7*(-331527905*Sqrt[10]* f44[t] + 77*(112970*Sqrt[7*Pi] - 17459*Sqrt[35]*g20[t] + 10665*Sqrt[7]*g40[t] + 304395*Sqrt[10]*g44[t])))) - 477330*Sqrt[30]*f42n[t]*g44n[t] + 1566425*Sqrt[30]*lu1*f42n[t]* g44n[t] + 77551110*Sqrt[30]*lu1^2*f42n[t]*g44n[t] + 411780565*Sqrt[30]*lu1^3*f42n[t]*g44n[t] + 2743149290*Sqrt[30]* lu1^4*f42n[t]*g44n[t] + 317220540*Sqrt[30]*lu1^5*f42n[t]* g44n[t] - 900758600*Sqrt[30]*lu1^6*f42n[t]*g44n[t] - 42*Sqrt[10]*(-2 + lu1)*f22n[t]*(7*(16426 - 2691675*lu1 - 24617388*lu1^2 + 101725035*lu1^3 + 467659066*lu1^4 + 266391320*lu1^5)*f44n[t] + 429*(1 + 10*lu1)^2*(9 - 204*lu1 + 829*lu1^2 + 646*lu1^3)*g44n[t])))) + 77*(3 + 8*lu1 + 4*lu1^2)* Sqrt[Pi]*(6006*(-3 + 13*lu1 + 38*lu1^2)*(-1 + 7*lu1 + 170*lu1^2)^2* Sqrt[Pi]*sc*g44[t] - mar*(-2480220*Sqrt[70]*f42[t]*f42n[t] + 40413060*Sqrt[70]*lu1*f42[t]*f42n[t] - 399644820*Sqrt[70]*lu1^2* f42[t]*f42n[t] + 913814460*Sqrt[70]*lu1^3*f42[t]*f42n[t] + 3924115200*Sqrt[70]*lu1^4*f42[t]*f42n[t] + 269838000*Sqrt[70]* lu1^5*f42[t]*f42n[t] + 960960*Sqrt[Pi]*f44n[t] - 22902880*lu1*Sqrt[Pi]*f44n[t] - 10250240*lu1^2*Sqrt[Pi]*f44n[t] + 2622940320*lu1^3*Sqrt[Pi]*f44n[t] - 7844636800*lu1^4*Sqrt[Pi]* f44n[t] - 25865840000*lu1^5*Sqrt[Pi]*f44n[t] + 2513784*Sqrt[5]*f20[t]*f44n[t] - 80582320*Sqrt[5]*lu1*f20[t]* f44n[t] + 697295872*Sqrt[5]*lu1^2*f20[t]*f44n[t] + 3376865856*Sqrt[5]*lu1^3*f20[t]*f44n[t] - 12020870680*Sqrt[5]* lu1^4*f20[t]*f44n[t] - 14044175600*Sqrt[5]*lu1^5*f20[t]*f44n[t] - 11574360*f40[t]*f44n[t] + 188594280*lu1*f40[t]*f44n[t] - 1865009160*lu1^2*f40[t]*f44n[t] + 4264467480*lu1^3*f40[t]* f44n[t] + 18312537600*lu1^4*f40[t]*f44n[t] + 1259244000*lu1^5* f40[t]*f44n[t] + 35490*Sqrt[5]*f44n[t]*g20[t] + 18197270*Sqrt[5]*lu1*f44n[t]*g20[t] - 136843070*Sqrt[5]*lu1^2* f44n[t]*g20[t] - 3182664030*Sqrt[5]*lu1^3*f44n[t]*g20[t] + 698346740*Sqrt[5]*lu1^4*f44n[t]*g20[t] + 9983100400*Sqrt[5]*lu1^5* f44n[t]*g20[t] + 2535*Sqrt[210]*f42n[t]*g22[t] + 1299805*Sqrt[210]*lu1*f42n[t]*g22[t] - 9774505*Sqrt[210]*lu1^2* f42n[t]*g22[t] - 227333145*Sqrt[210]*lu1^3*f42n[t]*g22[t] + 49881910*Sqrt[210]*lu1^4*f42n[t]*g22[t] + 713078600*Sqrt[210]* lu1^5*f42n[t]*g22[t] + 2535*Sqrt[210]*f42[t]*g22n[t] + 1299805*Sqrt[210]*lu1*f42[t]*g22n[t] - 9774505*Sqrt[210]*lu1^2* f42[t]*g22n[t] - 227333145*Sqrt[210]*lu1^3*f42[t]*g22n[t] + 49881910*Sqrt[210]*lu1^4*f42[t]*g22n[t] + 713078600*Sqrt[210]* lu1^5*f42[t]*g22n[t] + 4290*Sqrt[70]*g22[t]*g22n[t] - 30030*Sqrt[70]*lu1*g22[t]*g22n[t] - 1668810*Sqrt[70]*lu1^2*g22[t]* g22n[t] + 1471470*Sqrt[70]*lu1^3*g22[t]*g22n[t] + 195452400*Sqrt[70]*lu1^4*g22[t]*g22n[t] + 867867000*Sqrt[70]*lu1^5* g22[t]*g22n[t] - 667170*f44n[t]*g40[t] - 49885290*lu1*f44n[t]* g40[t] + 85560930*lu1^2*f44n[t]*g40[t] + 1955222010*lu1^3*f44n[t]* g40[t] - 809209800*lu1^4*f44n[t]*g40[t] - 7978005000*lu1^5* f44n[t]*g40[t] - 142965*Sqrt[70]*f42n[t]*g42[t] - 10689705*Sqrt[70]*lu1*f42n[t]*g42[t] + 18334485*Sqrt[70]*lu1^2* f42n[t]*g42[t] + 418976145*Sqrt[70]*lu1^3*f42n[t]*g42[t] - 173402100*Sqrt[70]*lu1^4*f42n[t]*g42[t] - 1709572500*Sqrt[70]* lu1^5*f42n[t]*g42[t] - 780*Sqrt[210]*g22n[t]*g42[t] - 28132*Sqrt[210]*lu1*g22n[t]*g42[t] + 559780*Sqrt[210]*lu1^2* g22n[t]*g42[t] + 4967508*Sqrt[210]*lu1^3*g22n[t]*g42[t] - 36853960*Sqrt[210]*lu1^4*g22n[t]*g42[t] - 102190400*Sqrt[210]* lu1^5*g22n[t]*g42[t] - 13*Sqrt[70]*f22n[t]* (4*Sqrt[3]*(-3453 + 110690*lu1 - 957824*lu1^2 - 4638552*lu1^3 + 16512185*lu1^4 + 19291450*lu1^5)*f42[t] + 55*(-33 + 1943*lu1 - 8963*lu1^2 - 298887*lu1^3 + 621920*lu1^4 + 4414900*lu1^5)*g22[t] - 3*Sqrt[3]*(465 + 26831*lu1 - 176747* lu1^2 - 770763*lu1^3 + 3094790*lu1^4 + 9523600*lu1^5)* g42[t]) - 142965*Sqrt[70]*f42[t]*g42n[t] - 10689705*Sqrt[70]* lu1*f42[t]*g42n[t] + 18334485*Sqrt[70]*lu1^2*f42[t]*g42n[t] + 418976145*Sqrt[70]*lu1^3*f42[t]*g42n[t] - 173402100*Sqrt[70]*lu1^4* f42[t]*g42n[t] - 1709572500*Sqrt[70]*lu1^5*f42[t]*g42n[t] - 780*Sqrt[210]*g22[t]*g42n[t] - 28132*Sqrt[210]*lu1*g22[t]* g42n[t] + 559780*Sqrt[210]*lu1^2*g22[t]*g42n[t] + 4967508*Sqrt[210]*lu1^3*g22[t]*g42n[t] - 36853960*Sqrt[210]*lu1^4* g22[t]*g42n[t] - 102190400*Sqrt[210]*lu1^5*g22[t]*g42n[t] + 2430*Sqrt[70]*g42[t]*g42n[t] + 106110*Sqrt[70]*lu1*g42[t]* g42n[t] - 1884870*Sqrt[70]*lu1^2*g42[t]*g42n[t] - 18353790*Sqrt[70]*lu1^3*g42[t]*g42n[t] + 115538400*Sqrt[70]*lu1^4* g42[t]*g42n[t] + 287793000*Sqrt[70]*lu1^5*g42[t]*g42n[t] + 13*Sqrt[70]*f22[t]*(1320*(-13 + 489*lu1 - 1643*lu1^2 - 64021* lu1^3 + 208200*lu1^4 + 651100*lu1^5)*f22n[t] - 4*Sqrt[3]*(-3453 + 110690*lu1 - 957824*lu1^2 - 4638552*lu1^3 + 16512185*lu1^4 + 19291450*lu1^5)*f42n[t] + 1815*g22n[t] - 106865*lu1*g22n[t] + 492965*lu1^2*g22n[t] + 16438785*lu1^3* g22n[t] - 34205600*lu1^4*g22n[t] - 242819500*lu1^5*g22n[t] + 1395*Sqrt[3]*g42n[t] + 80493*Sqrt[3]*lu1*g42n[t] - 530241*Sqrt[3]*lu1^2*g42n[t] - 2312289*Sqrt[3]*lu1^3*g42n[t] + 9284370*Sqrt[3]*lu1^4*g42n[t] + 28570800*Sqrt[3]*lu1^5* g42n[t]) + 60060*Sqrt[Pi]*g44n[t] + 2622620*lu1*Sqrt[Pi]* g44n[t] - 46586540*lu1^2*Sqrt[Pi]*g44n[t] - 453633180*lu1^3* Sqrt[Pi]*g44n[t] + 2855652800*lu1^4*Sqrt[Pi]*g44n[t] + 7113106000*lu1^5*Sqrt[Pi]*g44n[t] + 253890*Sqrt[5]*f20[t]* g44n[t] + 14649726*Sqrt[5]*lu1*f20[t]*g44n[t] - 96503862*Sqrt[5]*lu1^2*f20[t]*g44n[t] - 420836598*Sqrt[5]*lu1^3* f20[t]*g44n[t] + 1689755340*Sqrt[5]*lu1^4*f20[t]*g44n[t] + 5199885600*Sqrt[5]*lu1^5*f20[t]*g44n[t] - 667170*f40[t]*g44n[t] - 49885290*lu1*f40[t]*g44n[t] + 85560930*lu1^2*f40[t]*g44n[t] + 1955222010*lu1^3*f40[t]*g44n[t] - 809209800*lu1^4*f40[t]*g44n[t] - 7978005000*lu1^5*f40[t]*g44n[t] - 10920*Sqrt[5]*g20[t]*g44n[t] - 393848*Sqrt[5]*lu1*g20[t]*g44n[t] + 7836920*Sqrt[5]*lu1^2*g20[t]* g44n[t] + 69545112*Sqrt[5]*lu1^3*g20[t]*g44n[t] - 515955440*Sqrt[5]*lu1^4*g20[t]*g44n[t] - 1430665600*Sqrt[5]*lu1^5* g20[t]*g44n[t] + 11340*g40[t]*g44n[t] + 495180*lu1*g40[t]* g44n[t] - 8796060*lu1^2*g40[t]*g44n[t] - 85651020*lu1^3*g40[t]* g44n[t] + 539179200*lu1^4*g40[t]*g44n[t] + 1343034000*lu1^5* g40[t]*g44n[t]) + 2*cap*(26*Sqrt[70]*f22[t]* (110*(-27 + 511*lu1 + 1043*lu1^2 - 49779*lu1^3 + 248440*lu1^4 + 695300*lu1^5)*f22n[t] - 3*(Sqrt[3]*(-1530 + 11231*lu1 - 123201*lu1^2 + 1175199*lu1^3 + 5622155*lu1^4 + 275250*lu1^5)* f42n[t] + (-1 + 3*lu1)*(-1 + 7*lu1 + 170*lu1^2)^2* (55*g22n[t] - 3*Sqrt[3]*g42n[t]))) - 3*(-180180*Sqrt[Pi]*f44n[t] + 2942940*lu1*Sqrt[Pi]*f44n[t] + 17237220*lu1^2*Sqrt[Pi]*f44n[t] - 285945660*lu1^3*Sqrt[Pi]* f44n[t] + 355555200*lu1^4*Sqrt[Pi]*f44n[t] + 1939938000*lu1^5* Sqrt[Pi]*f44n[t] - 556920*Sqrt[5]*f20[t]*f44n[t] + 4088084*Sqrt[5]*lu1*f20[t]*f44n[t] - 44845164*Sqrt[5]*lu1^2* f20[t]*f44n[t] + 427772436*Sqrt[5]*lu1^3*f20[t]*f44n[t] + 2046464420*Sqrt[5]*lu1^4*f20[t]*f44n[t] + 100191000*Sqrt[5]* lu1^5*f20[t]*f44n[t] + 2411640*f40[t]*f44n[t] - 607320*lu1*f40[t]*f44n[t] + 270741240*lu1^2*f40[t]*f44n[t] - 1677843720*lu1^3*f40[t]*f44n[t] - 4084693200*lu1^4*f40[t]* f44n[t] + 794808000*lu1^5*f40[t]*f44n[t] + 27846*Sqrt[5]* f44n[t]*g20[t] - 454818*Sqrt[5]*lu1*f44n[t]*g20[t] - 2663934*Sqrt[5]*lu1^2*f44n[t]*g20[t] + 44191602*Sqrt[5]*lu1^3* f44n[t]*g20[t] - 54949440*Sqrt[5]*lu1^4*f44n[t]*g20[t] - 299808600*Sqrt[5]*lu1^5*f44n[t]*g20[t] + 1989*Sqrt[210]*f42n[t]* g22[t] - 32487*Sqrt[210]*lu1*f42n[t]*g22[t] - 190281*Sqrt[210]* lu1^2*f42n[t]*g22[t] + 3156543*Sqrt[210]*lu1^3*f42n[t]*g22[t] - 3924960*Sqrt[210]*lu1^4*f42n[t]*g22[t] - 21414900*Sqrt[210]* lu1^5*f42n[t]*g22[t] - 17010*f44n[t]*g40[t] + 277830*lu1*f44n[t]*g40[t] + 1627290*lu1^2*f44n[t]*g40[t] - 26994870*lu1^3*f44n[t]*g40[t] + 33566400*lu1^4*f44n[t]*g40[t] + 183141000*lu1^5*f44n[t]*g40[t] - 3645*Sqrt[70]*f42n[t]*g42[t] + 59535*Sqrt[70]*lu1*f42n[t]*g42[t] + 348705*Sqrt[70]*lu1^2* f42n[t]*g42[t] - 5784615*Sqrt[70]*lu1^3*f42n[t]*g42[t] + 7192800*Sqrt[70]*lu1^4*f42n[t]*g42[t] + 39244500*Sqrt[70]*lu1^5* f42n[t]*g42[t] + 26*Sqrt[70]*f22n[t]*(Sqrt[3]*(-1530 + 11231*lu1 - 123201*lu1^2 + 1175199*lu1^3 + 5622155*lu1^4 + 275250*lu1^5)*f42[t] + (-1 + 3*lu1)*(-1 + 7*lu1 + 170*lu1^2)^ 2*(55*g22[t] - 3*Sqrt[3]*g42[t])) + 3*Sqrt[70]* (-3 + 13*lu1 + 38*lu1^2)*f42[t]*(180*(-319 - 1302*lu1 - 45495*lu1^2 + 8300*lu1^3)*f42n[t] - (1 - 12*lu1 - 135*lu1^2 + 850*lu1^3)*(221*Sqrt[3]*g22n[t] - 405*g42n[t])) + 1092*Sqrt[5]*f20[t]*g44n[t] - 18564*Sqrt[5]*lu1*f20[t]*g44n[t] - 271908*Sqrt[5]*lu1^2*f20[t]* g44n[t] + 3552276*Sqrt[5]*lu1^3*f20[t]*g44n[t] + 23761920*Sqrt[5]*lu1^4*f20[t]*g44n[t] - 94676400*Sqrt[5]*lu1^5* f20[t]*g44n[t] - 17010*f40[t]*g44n[t] + 277830*lu1*f40[t]* g44n[t] + 1627290*lu1^2*f40[t]*g44n[t] - 26994870*lu1^3*f40[t]* g44n[t] + 33566400*lu1^4*f40[t]*g44n[t] + 183141000*lu1^5* f40[t]*g44n[t]))))/(231231*(-9 + 51*lu1 + 38*lu1^2)* (-1 + 5*lu1 + 184*lu1^2 + 340*lu1^3)^2*Pi) + (2*cap*(-69615*(-9 + 105*lu1 + 20612*lu1^2 + 13692*lu1^3)*f20[t]^2* ((98230185 - 1296128070*lu1 - 26144803617*lu1^2 - 750985990776*lu1^3 - 26860499378549*lu1^4 + 393592472194410* lu1^5 + 306855502405545*lu1^6 - 577325066792164*lu1^7 + 75521556788750628*lu1^8 + 90212202973821432*lu1^9 - 111058127432881280*lu1^10 - 78171515252618400*lu1^11 + 66096761577840000*lu1^12)*f44n[t] - 44*(-1 + 7*lu1 + 170*lu1^2)^2* (-1107 + 1809*lu1 + 1789470*lu1^2 - 2065850*lu1^3 - 644514935*lu1^4 + 489904901*lu1^5 - 3293567812*lu1^6 - 2388739740*lu1^7 + 5849751600*lu1^8)*g44n[t]) + 46410*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]^2* ((-411661791 - 180373248*lu1 + 140059090059*lu1^2 + 13631543235228*lu1^3 - 113543909166835*lu1^4 - 4166369119884524* lu1^5 + 19299655778555505*lu1^6 + 363434627964562636*lu1^7 + 202563295094281550*lu1^8 - 1719625607404526028*lu1^9 + 632766445766680712*lu1^10 + 5571669819521741200*lu1^11 + 3002164847132481600*lu1^12 + 28269775419984000*lu1^13)*f44n[t] + 33*(-1 + 7*lu1 + 170*lu1^2)^2*(59211 - 1111698*lu1 - 47982888*lu1^2 + 501880110*lu1^3 + 5637429925*lu1^4 - 9476582108*lu1^5 + 72523922504*lu1^6 + 211334799584*lu1^7 + 125081876880*lu1^8 + 13517380800*lu1^9)*g44n[t]) + 663*(-3 + 37*lu1 + 6846*lu1^2)*f20[t]*(27654241590*Sqrt[14]*f42[t]* f42n[t] + 46013337360*Sqrt[14]*lu1*f42[t]*f42n[t] - 17674654350960*Sqrt[14]*lu1^2*f42[t]*f42n[t] - 530592617229150*Sqrt[14]*lu1^3*f42[t]*f42n[t] + 174929066292210*Sqrt[14]*lu1^4*f42[t]*f42n[t] + 105288388662769860*Sqrt[14]*lu1^5*f42[t]*f42n[t] - 553259041485239220*Sqrt[14]*lu1^6*f42[t]*f42n[t] - 4698603557037157590*Sqrt[14]*lu1^7*f42[t]*f42n[t] - 13176936876439528260*Sqrt[14]*lu1^8*f42[t]*f42n[t] - 4785707257679532960*Sqrt[14]*lu1^9*f42[t]*f42n[t] + 52407289075533306720*Sqrt[14]*lu1^10*f42[t]*f42n[t] + 69852091663977300000*Sqrt[14]*lu1^11*f42[t]*f42n[t] + 17154364893613464000*Sqrt[14]*lu1^12*f42[t]*f42n[t] + 3075699170580960000*Sqrt[14]*lu1^13*f42[t]*f42n[t] + 72897659100*Sqrt[5]*f40[t]*f44n[t] + 208295285184*Sqrt[5]*lu1* f40[t]*f44n[t] - 44394426795600*Sqrt[5]*lu1^2*f40[t]*f44n[t] - 1340588814741708*Sqrt[5]*lu1^3*f40[t]*f44n[t] + 7065951787371204*Sqrt[5]*lu1^4*f40[t]*f44n[t] + 317417164514682120*Sqrt[5]*lu1^5*f40[t]*f44n[t] - 1532770972579391832*Sqrt[5]*lu1^6*f40[t]*f44n[t] - 19948539006732601020*Sqrt[5]*lu1^7*f40[t]*f44n[t] - 18949667800392804216*Sqrt[5]*lu1^8*f40[t]*f44n[t] + 49317932189172255168*Sqrt[5]*lu1^9*f40[t]*f44n[t] + 43626370617164905920*Sqrt[5]*lu1^10*f40[t]*f44n[t] - 58004629334620248000*Sqrt[5]*lu1^11*f40[t]*f44n[t] - 59180175040571760000*Sqrt[5]*lu1^12*f40[t]*f44n[t] - 11335102028376000000*Sqrt[5]*lu1^13*f40[t]*f44n[t] + 3085579980*f44n[t]*g20[t] - 84613959990*lu1*f44n[t]*g20[t] - 1679327479620*lu1^2*f44n[t]*g20[t] + 38364602966550*lu1^3*f44n[t]* g20[t] + 6370533396360*lu1^4*f44n[t]*g20[t] + 241286339023030*lu1^5*f44n[t]*g20[t] + 18405876618527020*lu1^6* f44n[t]*g20[t] - 439279184787423190*lu1^7*f44n[t]*g20[t] - 1045067214747097500*lu1^8*f44n[t]*g20[t] + 9997661584517981920* lu1^9*f44n[t]*g20[t] + 39548743765647868640*lu1^10*f44n[t]* g20[t] + 47151317664964100000*lu1^11*f44n[t]*g20[t] + 17955199301557896000*lu1^12*f44n[t]*g20[t] + 659301527858400000* lu1^13*f44n[t]*g20[t] + 145407150*Sqrt[42]*f42n[t]*g22[t] - 4699831860*Sqrt[42]*lu1*f42n[t]*g22[t] - 117469727175*Sqrt[42]* lu1^2*f42n[t]*g22[t] + 3620167789915*Sqrt[42]*lu1^3*f42n[t]* g22[t] + 36152052290290*Sqrt[42]*lu1^4*f42n[t]*g22[t] - 779156337702790*Sqrt[42]*lu1^5*f42n[t]*g22[t] - 6385116691091355*Sqrt[42]*lu1^6*f42n[t]*g22[t] + 36805668789727495*Sqrt[42]*lu1^7*f42n[t]*g22[t] + 497732789169065490*Sqrt[42]*lu1^8*f42n[t]*g22[t] + 2306709869403036760*Sqrt[42]*lu1^9*f42n[t]*g22[t] + 1411095845037240160*Sqrt[42]*lu1^10*f42n[t]*g22[t] - 2995247939234248400*Sqrt[42]*lu1^11*f42n[t]*g22[t] - 3423245430804268000*Sqrt[42]*lu1^12*f42n[t]*g22[t] - 1328489193241280000*Sqrt[42]*lu1^13*f42n[t]*g22[t] + 145407150*Sqrt[42]*f42[t]*g22n[t] - 4699831860*Sqrt[42]*lu1*f42[t]* g22n[t] - 117469727175*Sqrt[42]*lu1^2*f42[t]*g22n[t] + 3620167789915*Sqrt[42]*lu1^3*f42[t]*g22n[t] + 36152052290290* Sqrt[42]*lu1^4*f42[t]*g22n[t] - 779156337702790*Sqrt[42]*lu1^5* f42[t]*g22n[t] - 6385116691091355*Sqrt[42]*lu1^6*f42[t]*g22n[t] + 36805668789727495*Sqrt[42]*lu1^7*f42[t]*g22n[t] + 497732789169065490*Sqrt[42]*lu1^8*f42[t]*g22n[t] + 2306709869403036760*Sqrt[42]*lu1^9*f42[t]*g22n[t] + 1411095845037240160*Sqrt[42]*lu1^10*f42[t]*g22n[t] - 2995247939234248400*Sqrt[42]*lu1^11*f42[t]*g22n[t] - 3423245430804268000*Sqrt[42]*lu1^12*f42[t]*g22n[t] - 1328489193241280000*Sqrt[42]*lu1^13*f42[t]*g22n[t] - 575108100*Sqrt[5]*f44n[t]*g40[t] + 16984692522*Sqrt[5]*lu1*f44n[t]* g40[t] + 204729831180*Sqrt[5]*lu1^2*f44n[t]*g40[t] - 5871467858634*Sqrt[5]*lu1^3*f44n[t]*g40[t] - 641845092168*Sqrt[5]* lu1^4*f44n[t]*g40[t] - 52378387900650*Sqrt[5]*lu1^5*f44n[t]* g40[t] - 1531202514131556*Sqrt[5]*lu1^6*f44n[t]*g40[t] + 69797139751139850*Sqrt[5]*lu1^7*f44n[t]*g40[t] + 127073768323166532*Sqrt[5]*lu1^8*f44n[t]*g40[t] - 1695592994108511456*Sqrt[5]*lu1^9*f44n[t]*g40[t] - 6271682873784924960*Sqrt[5]*lu1^10*f44n[t]*g40[t] - 6875728818045948000*Sqrt[5]*lu1^11*f44n[t]*g40[t] - 1754005207889592000*Sqrt[5]*lu1^12*f44n[t]*g40[t] + 373717124131680000*Sqrt[5]*lu1^13*f44n[t]*g40[t] - 66752910*Sqrt[14]*f42n[t]*g42[t] + 3760690410*Sqrt[14]*lu1*f42n[t]* g42[t] - 76024943595*Sqrt[14]*lu1^2*f42n[t]*g42[t] - 606510310515*Sqrt[14]*lu1^3*f42n[t]*g42[t] + 8832626873250*Sqrt[14]* lu1^4*f42n[t]*g42[t] + 315373686825180*Sqrt[14]*lu1^5*f42n[t]* g42[t] + 318852810913665*Sqrt[14]*lu1^6*f42n[t]*g42[t] - 43710680080490955*Sqrt[14]*lu1^7*f42n[t]*g42[t] - 83179904832939450*Sqrt[14]*lu1^8*f42n[t]*g42[t] + 1126292656015550040*Sqrt[14]*lu1^9*f42n[t]*g42[t] + 484564573831600320*Sqrt[14]*lu1^10*f42n[t]*g42[t] - 10134406171568828400*Sqrt[14]*lu1^11*f42n[t]*g42[t] - 15057742635549444000*Sqrt[14]*lu1^12*f42n[t]*g42[t] - 4633662806851680000*Sqrt[14]*lu1^13*f42n[t]*g42[t] - 5*Sqrt[14]*f22n[t]*(Sqrt[3]*(814327803 - 7579066671*lu1 - 459949848498*lu1^2 - 8549588016286*lu1^3 + 23417084034911*lu1^ 4 + 4347538877271149*lu1^5 - 5539028830834880*lu1^6 - 352097246110849280*lu1^7 - 794454765095066504*lu1^8 + 1087558752577032656*lu1^9 + 3439259331657928208*lu1^10 + 2878254450776006240*lu1^11 + 1911044345424974400*lu1^12 + 684619826316048000*lu1^13)*f42[t] + 11*(-1 + 7*lu1 + 170*lu1^2)^ 2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)* (13*(-9627 + 108739*lu1 + 963287*lu1^2 - 4163999*lu1^3 + 22074868*lu1^4 + 3764140*lu1^5)*g22[t] - 15*Sqrt[3]*(-1119 + 15935*lu1 - 12157*lu1^2 - 259931*lu1^3 + 1882060*lu1^4 + 1451820*lu1^5)*g42[t])) - 66752910*Sqrt[14]*f42[t]*g42n[t] + 3760690410*Sqrt[14]*lu1*f42[t]*g42n[t] - 76024943595*Sqrt[14]*lu1^2* f42[t]*g42n[t] - 606510310515*Sqrt[14]*lu1^3*f42[t]*g42n[t] + 8832626873250*Sqrt[14]*lu1^4*f42[t]*g42n[t] + 315373686825180* Sqrt[14]*lu1^5*f42[t]*g42n[t] + 318852810913665*Sqrt[14]*lu1^6* f42[t]*g42n[t] - 43710680080490955*Sqrt[14]*lu1^7*f42[t]*g42n[t] - 83179904832939450*Sqrt[14]*lu1^8*f42[t]*g42n[t] + 1126292656015550040*Sqrt[14]*lu1^9*f42[t]*g42n[t] + 484564573831600320*Sqrt[14]*lu1^10*f42[t]*g42n[t] - 10134406171568828400*Sqrt[14]*lu1^11*f42[t]*g42n[t] - 15057742635549444000*Sqrt[14]*lu1^12*f42[t]*g42n[t] - 4633662806851680000*Sqrt[14]*lu1^13*f42[t]*g42n[t] + 5*Sqrt[14]*f22[t]*(2860*(241947 - 6850926*lu1 - 120662019*lu1^2 + 3115641324*lu1^3 - 23758357671*lu1^4 + 268250620594*lu1^5 + 6132738734523*lu1^6 - 64511706604928*lu1^7 - 426267487285532* lu1^8 + 219393330033328*lu1^9 + 4232440673020240*lu1^10 + 7652814199497600*lu1^11 + 5124325953016000*lu1^12 + 1175563472160000*lu1^13)*f22n[t] - Sqrt[3]*(814327803 - 7579066671*lu1 - 459949848498*lu1^2 - 8549588016286*lu1^3 + 23417084034911*lu1^4 + 4347538877271149*lu1^5 - 5539028830834880*lu1^6 - 352097246110849280*lu1^7 - 794454765095066504*lu1^8 + 1087558752577032656*lu1^9 + 3439259331657928208*lu1^10 + 2878254450776006240*lu1^11 + 1911044345424974400*lu1^12 + 684619826316048000*lu1^13)* f42n[t] - 11*(-1 + 7*lu1 + 170*lu1^2)^2*(-27 + 207*lu1 + 21288*lu1^2 + 41812*lu1^3 + 18480*lu1^4)* (13*(-9627 + 108739*lu1 + 963287*lu1^2 - 4163999*lu1^3 + 22074868*lu1^4 + 3764140*lu1^5)*g22n[t] - 15*Sqrt[3]*(-1119 + 15935*lu1 - 12157*lu1^2 - 259931*lu1^3 + 1882060*lu1^4 + 1451820*lu1^5)*g42n[t])) - 6937812*Sqrt[5]*f40[t]*g44n[t] + 1704378942*Sqrt[5]*lu1*f40[t]*g44n[t] - 26110721448*Sqrt[5]*lu1^2* f40[t]*g44n[t] - 1229873530242*Sqrt[5]*lu1^3*f40[t]*g44n[t] - 23023957260192*Sqrt[5]*lu1^4*f40[t]*g44n[t] + 683769603711642* Sqrt[5]*lu1^5*f40[t]*g44n[t] + 5921180549255832*Sqrt[5]*lu1^6* f40[t]*g44n[t] - 50471469788804022*Sqrt[5]*lu1^7*f40[t]*g44n[t] - 450923774529712092*Sqrt[5]*lu1^8*f40[t]*g44n[t] - 1949714719599046848*Sqrt[5]*lu1^9*f40[t]*g44n[t] + 16449449295407520*Sqrt[5]*lu1^10*f40[t]*g44n[t] + 6887709072010788000*Sqrt[5]*lu1^11*f40[t]*g44n[t] + 7345943284846152000*Sqrt[5]*lu1^12*f40[t]*g44n[t] + 2171463588191520000*Sqrt[5]*lu1^13*f40[t]*g44n[t]) - 221*(-3 + 37*lu1 + 6846*lu1^2)*f22[t]*(10*Sqrt[14]*(1 + 2*lu1)* f22n[t]*(6*Sqrt[5]*(210106548 - 3061640907*lu1 - 96168778977*lu1^ 2 - 845999995649*lu1^3 - 29604015153563*lu1^4 + 850195819120743*lu1^5 - 365906391071275*lu1^6 - 33679652902240663*lu1^7 - 3652311635303553*lu1^8 + 179357729795250700*lu1^9 + 346588058412452020*lu1^10 + 302652515095386000*lu1^11 + 89704499875956000*lu1^12)*f40[t] + 77*(-1 + 7*lu1 + 170*lu1^2)^2*(2187 - 56700*lu1 - 1148256*lu1^2 + 25696782*lu1^3 - 152025759*lu1^4 - 112798138*lu1^5 + 1983708084*lu1^6 + 3476459080*lu1^7 + 1436080800*lu1^8)* (221*g20[t] - 27*Sqrt[5]*g40[t])) - 3*(Sqrt[70]*f40[t]*(Sqrt[3]*(7830590220 - 27850280859*lu1 - 1981848438930*lu1^2 - 144619017493957*lu1^3 - 555534312054304* lu1^4 + 33601440874965835*lu1^5 + 96177793909119862*lu1^6 - 964717578077391675*lu1^7 - 4877636416448562944*lu1^8 - 4844098690376039808*lu1^9 + 10825489672024306640*lu1^10 + 26642651754288054000*lu1^11 + 19965054363618952000*lu1^12 + 5710832716516480000*lu1^13)*f42n[t] + 2*(-1 + 7*lu1 + 170*lu1^2)*(5*(-16337916 + 350879490*lu1 + 9775541730*lu1^2 - 130899886389*lu1^3 + 251482631918*lu1^4 - 3109179529232* lu1^5 + 13942783285130*lu1^6 + 375619640126535*lu1^7 + 1158269461265282*lu1^8 + 1874309461573796*lu1^9 + 1520743495985080*lu1^10 + 330033674084800*lu1^11)*g22n[t] - Sqrt[3]*(-45102204 + 1165125861*lu1 + 14083006116*lu1^2 - 353926446917*lu1^3 + 4328373584682*lu1^4 - 2649229458057* lu1^5 - 175024477696040*lu1^6 - 307180247536099*lu1^7 + 3473089138273998*lu1^8 + 13269389970156780*lu1^9 + 14705736012122600*lu1^10 + 4474858838016000*lu1^11)* g42n[t])) - 7*(Sqrt[3]*f42n[t]*(10*(-331673508 - 5762942037* lu1 + 350748771522*lu1^2 + 5079375632045*lu1^3 - 231145332417112*lu1^4 - 2149481844378027*lu1^5 + 25616018554008554*lu1^6 + 296816927372850723*lu1^7 - 369398320038215808*lu1^8 - 1944721789866541568*lu1^9 + 1804444427350770096*lu1^10 + 6537989314753376400*lu1^11 + 3784281985751531200*lu1^12 + 841279979969408000*lu1^13)* f44[t] - (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)* (5*Sqrt[14]*(2776194 - 60867963*lu1 - 832089384*lu1^2 + 12719367264*lu1^3 - 198700664548*lu1^4 + 27855974799* lu1^5 + 10169146467042*lu1^6 + 30586321061276*lu1^7 + 31566894347640*lu1^8 + 10430924532000*lu1^9)*g20[t] - 3*(Sqrt[70]*(1305450 - 39237651*lu1 + 137541432*lu1^2 + 8871290944*lu1^3 - 130458257964*lu1^4 - 787034708665* lu1^5 + 4296985591714*lu1^6 + 22037094218460*lu1^7 + 28744189374200*lu1^8 + 10779224484000*lu1^9)*g40[t] - 770*(-2178 - 17967*lu1 + 2054014*lu1^2 + 46222894*lu1^3 - 35681702*lu1^4 - 13938995419*lu1^5 - 90499641734* lu1^6 + 254204419540*lu1^7 + 638960133400*lu1^8 + 227247636000*lu1^9)*g44[t]))) + 10*(2*(-1 + 7*lu1 + 170*lu1^2)*(f44n[t]*((49771638 - 1413072648* lu1 - 10298859453*lu1^2 + 372871583303*lu1^3 + 242918299862*lu1^4 - 10366353647006*lu1^5 - 55184874231977*lu1^6 - 1765719532222709*lu1^7 - 3981328515883918*lu1^8 - 1948705998131308*lu1^9 + 714142181543720*lu1^10 + 383067417812800*lu1^11)* g22[t] + Sqrt[3]*(-9323370 + 257787513*lu1 + 1011198549* lu1^2 - 46465930211*lu1^3 + 436518051102*lu1^4 - 2500528372965*lu1^5 - 29032589827619*lu1^6 + 239971307759603*lu1^7 + 801835444060698*lu1^8 + 341718345986484*lu1^9 - 446119811615320*lu1^10 - 162954985401600*lu1^11)*g42[t]) + f44[t]* (13*(-201474 + 31447494*lu1 - 2088802701*lu1^2 + 9529629191*lu1^3 + 393726634574*lu1^4 + 81019449448* lu1^5 - 26353666601969*lu1^6 - 166461766455593*lu1^7 - 143065452646*lu1^8 + 825093548539844*lu1^9 + 1054636887061640*lu1^10 + 356390677921600*lu1^11)* g22n[t] + Sqrt[3]*(1154790 - 106590501*lu1 + 4382313681* lu1^2 + 3331350553*lu1^3 - 538587538818*lu1^4 - 4784449670931*lu1^5 + 28449968491105*lu1^6 + 319627994099603*lu1^7 + 5941711060794*lu1^8 - 2193266079843372*lu1^9 - 3045347281666840*lu1^10 - 1012957264435200*lu1^11)*g42n[t])) + Sqrt[3]*f42[t]* ((-3031686036 - 6047736795*lu1 + 1641971423814*lu1^2 + 55304127129467*lu1^3 - 261903571785160*lu1^4 - 13503946852962229*lu1^5 + 46983686245503486*lu1^6 + 814838478829381701*lu1^7 + 844483561636971368*lu1^8 - 1897034802729159808*lu1^9 - 1426794485446042928*lu1^10 + 2262004605794175600*lu1^11 + 1586497700530206400*lu1^12 + 173416776286656000*lu1^13)*f44n[t] + (14827806 - 412099263*lu1 - 9653114046*lu1^2 + 229736556323*lu1^3 + 815924417788*lu1^4 - 14635871616745*lu1^5 - 55498062738454*lu1^6 - 1197233846785291*lu1^7 + 5995059761187274*lu1^8 + 101016811646421280*lu1^9 + 196812338926534768*lu1^10 + 44751373654460240*lu1^11 - 120091285650149600*lu1^12 - 60697607647152000*lu1^13)* g44n[t]))))) + 3*(15470*(-3 + 37*lu1 + 6846*lu1^2)* f22n[t]^2*((-411661791 - 180373248*lu1 + 140059090059*lu1^2 + 13631543235228*lu1^3 - 113543909166835*lu1^4 - 4166369119884524*lu1^5 + 19299655778555505*lu1^6 + 363434627964562636*lu1^7 + 202563295094281550*lu1^8 - 1719625607404526028*lu1^9 + 632766445766680712*lu1^10 + 5571669819521741200*lu1^11 + 3002164847132481600*lu1^12 + 28269775419984000*lu1^13)*f44n[t] + 33*(-1 + 7*lu1 + 170*lu1^2)^ 2*(59211 - 1111698*lu1 - 47982888*lu1^2 + 501880110*lu1^3 + 5637429925*lu1^4 - 9476582108*lu1^5 + 72523922504*lu1^6 + 211334799584*lu1^7 + 125081876880*lu1^8 + 13517380800*lu1^9)* g44n[t]) - (-27 + 63*lu1 + 552*lu1^2 + 788*lu1^3 + 304*lu1^4)* (3*f40[t]*((-1 + 7*lu1 + 170*lu1^2)*(294*(-3 + 13*lu1 + 38*lu1^2)* f44n[t]*(442*Sqrt[5]*(90597 - 1462408*lu1 - 224967812* lu1^2 + 685757422*lu1^3 + 47366562971*lu1^4 + 969855223090*lu1^5 + 19655866570900*lu1^6 + 2202471159000* lu1^7)*g20[t] - 15*(4839567 - 80877536*lu1 - 9889138500* lu1^2 + 12204268370*lu1^3 - 1077868933127*lu1^4 + 44087057375766*lu1^5 + 916068101430860*lu1^6 + 572900375649000*lu1^7)*g40[t]) - Sqrt[70]*(-3 + 29*lu1 + 2310*lu1^2)*f42n[t]*(2431*Sqrt[3]*(-662829 + 15261368*lu1 + 1551593756*lu1^2 - 17955519366*lu1^3 - 283025164075* lu1^4 + 479907750326*lu1^5 - 6121393709940*lu1^6 + 1104034566600*lu1^7)*g22[t] + 45*(-4964919 - 73414960* lu1 + 17096100848*lu1^2 + 188283788442*lu1^3 + 5305832770787*lu1^4 - 26545507535698*lu1^5 + 19204365286020*lu1^6 + 32574195750600*lu1^7)*g42[t])) + Sqrt[70]*f42[t]*(48*(-3516632091 + 82342725795*lu1 + 3710562839457*lu1^2 - 88931554749146*lu1^3 + 13239935711751010*lu1^4 + 45790943821228753*lu1^5 - 4686987549472710875*lu1^6 - 35410062080434025196*lu1^7 - 77773821426920155937*lu1^8 - 117961658923028963190*lu1^9 - 759253567954210980700*lu1^10 + 161651975002495635000* lu1^11)*f42n[t] - (3 - 50*lu1 - 2617*lu1^2 + 21100*lu1^3 + 392700*lu1^4)*(2431*Sqrt[3]*(-662829 + 15261368*lu1 + 1551593756*lu1^2 - 17955519366*lu1^3 - 283025164075* lu1^4 + 479907750326*lu1^5 - 6121393709940*lu1^6 + 1104034566600*lu1^7)*g22n[t] + 45*(-4964919 - 73414960* lu1 + 17096100848*lu1^2 + 188283788442*lu1^3 + 5305832770787*lu1^4 - 26545507535698*lu1^5 + 19204365286020*lu1^6 + 32574195750600*lu1^7)*g42n[t]))) + 35*f40[t]^2*((171016756785 + 1008932348772*lu1 - 318560944204569* lu1^2 - 12717412345638426*lu1^3 - 233490117200518681*lu1^4 + 9880395399126051912*lu1^5 + 109901760081643705065*lu1^6 + 44840763626935899550*lu1^7 + 4478839124012523604392*lu1^8 - 15606432377712353334960*lu1^9 - 33027776609411347010800* lu1^10 + 11698961398837458060000*lu1^11)*f44n[t] - 12*(-17894817 + 851476296*lu1 + 41256467642*lu1^2 - 2186470938935*lu1^3 - 10081220258813*lu1^4 + 1524031212315082* lu1^5 + 13817367899552780*lu1^6 - 384456724497304147*lu1^7 - 2597839275382786648*lu1^8 + 8673401122030525240*lu1^9 - 38184712477761432800*lu1^10 + 4033424537153970000*lu1^11)* g44n[t]) + 14*(-((-1 + 7*lu1 + 170*lu1^2)*f42[t]* (9*Sqrt[14]*(-3 + 13*lu1 + 38*lu1^2)*f42n[t]* (1105*(-87915 + 1800640*lu1 + 303517344*lu1^2 - 2566630654* lu1^3 - 248993123561*lu1^4 - 1165207211274*lu1^5 - 26121803708140*lu1^6 + 12901584801000*lu1^7)*g20[t] + 3*Sqrt[5]*(-2605611 - 120543968*lu1 + 8573774904*lu1^2 + 256167614906*lu1^3 + 14108313329215*lu1^4 - 63170756689506*lu1^5 - 149666670245260*lu1^6 + 1422491693133000*lu1^7)*g40[t]) + f44n[t]* (-1105*Sqrt[3]*(-21229641 + 472098975*lu1 + 50014269982* lu1^2 - 511889151714*lu1^3 - 9170609395589*lu1^4 - 56710409671365*lu1^5 - 1248803890495872*lu1^6 + 13647480578668024*lu1^7 + 78121736429564240*lu1^8 + 7580198592246000*lu1^9)*g22[t] + 9*(-2755582101 + 73723427643*lu1 + 4956702363618*lu1^2 - 55050189276050* lu1^3 - 304097433483625*lu1^4 - 16563500195259257* lu1^5 - 403632336673424324*lu1^6 + 1946267150788811456* lu1^7 + 9459316791536856160*lu1^8 + 6461508120091962000* lu1^9)*g42[t]) + 17*f44[t]*(65*Sqrt[3]*(-1938735 - 45793095*lu1 - 4338431158*lu1^2 + 369163314306*lu1^3 + 21768340278557*lu1^4 - 222255507341187*lu1^5 - 2107948609711080*lu1^6 + 4612186355755352*lu1^7 - 15047932946498480*lu1^8 + 23556162659442000*lu1^9)* g22n[t] - 9*(1712727 + 731250999*lu1 - 128747177206* lu1^2 + 881166339110*lu1^3 + 130073887812915*lu1^4 - 138426264910861*lu1^5 - 934654403307892*lu1^6 - 52934150715498912*lu1^7 + 36902188634515680*lu1^8 + 384510247630866000*lu1^9)*g42n[t]))) + (-1 + 7*lu1 + 170*lu1^2)*f42n[t]*(17*f44[t]*(65*Sqrt[3]*(-1938735 - 45793095*lu1 - 4338431158*lu1^2 + 369163314306*lu1^3 + 21768340278557*lu1^4 - 222255507341187*lu1^5 - 2107948609711080*lu1^6 + 4612186355755352*lu1^7 - 15047932946498480*lu1^8 + 23556162659442000*lu1^9)* g22[t] - 9*(1712727 + 731250999*lu1 - 128747177206*lu1^2 + 881166339110*lu1^3 + 130073887812915*lu1^4 - 138426264910861*lu1^5 - 934654403307892*lu1^6 - 52934150715498912*lu1^7 + 36902188634515680*lu1^8 + 384510247630866000*lu1^9)*g42[t]) + f44n[t]* (1105*Sqrt[3]*(-21229641 + 472098975*lu1 + 50014269982* lu1^2 - 511889151714*lu1^3 - 9170609395589*lu1^4 - 56710409671365*lu1^5 - 1248803890495872*lu1^6 + 13647480578668024*lu1^7 + 78121736429564240*lu1^8 + 7580198592246000*lu1^9)*g22n[t] - 9*(-2755582101 + 73723427643*lu1 + 4956702363618*lu1^2 - 55050189276050* lu1^3 - 304097433483625*lu1^4 - 16563500195259257* lu1^5 - 403632336673424324*lu1^6 + 1946267150788811456* lu1^7 + 9459316791536856160*lu1^8 + 6461508120091962000* lu1^9)*g42n[t])) + f42[t]^2*((601886273373 + 10973338001100*lu1 - 1325644196581941*lu1^2 - 69990133670130642*lu1^3 - 214175214756520685*lu1^4 + 52698924950758729776*lu1^5 + 212045696846183342325*lu1^6 - 2325320651656570316362*lu1^7 + 16794480477324366794496* lu1^8 - 86525401331019852024480*lu1^9 - 219805139939759925664400*lu1^10 + 70133749194366976020000* lu1^11)*f44n[t] + 3*(640585557 - 23603421750*lu1 - 2212474398979*lu1^2 + 60845277877282*lu1^3 + 2070719660059495*lu1^4 - 31389634357892666*lu1^5 - 307165636871422465*lu1^6 + 1625214397762230782*lu1^7 + 6858671004202801304*lu1^8 + 99662172902208255280*lu1^9 + 570488253801168732400*lu1^10 - 271449867790475220000* lu1^11)*g44n[t]) + f42n[t]^2*((601886273373 + 10973338001100*lu1 - 1325644196581941*lu1^2 - 69990133670130642*lu1^3 - 214175214756520685*lu1^4 + 52698924950758729776*lu1^5 + 212045696846183342325*lu1^6 - 2325320651656570316362*lu1^7 + 16794480477324366794496* lu1^8 - 86525401331019852024480*lu1^9 - 219805139939759925664400*lu1^10 + 70133749194366976020000* lu1^11)*f44n[t] + 3*(640585557 - 23603421750*lu1 - 2212474398979*lu1^2 + 60845277877282*lu1^3 + 2070719660059495*lu1^4 - 31389634357892666*lu1^5 - 307165636871422465*lu1^6 + 1625214397762230782*lu1^7 + 6858671004202801304*lu1^8 + 99662172902208255280*lu1^9 + 570488253801168732400*lu1^10 - 271449867790475220000* lu1^11)*g44n[t]) + 7*(-5675670*(-1 + 7*lu1 + 170*lu1^2)^2* (495 - 23112*lu1 + 212060*lu1^2 + 11902658*lu1^3 - 355921607*lu1^4 - 1261055954*lu1^5 + 14275568460*lu1^6 + 30565873800*lu1^7)*f44[t]*f44n[t]*g44[t] + f44[t]^2* ((25698631779 + 2979209299500*lu1 - 125768093692443*lu1^2 - 11523131462861166*lu1^3 + 196373867236228645*lu1^4 + 8313405458472311448*lu1^5 - 50056115584363137525*lu1^6 - 939218300186950477126*lu1^7 + 1065945986584849726008* lu1^8 - 14382971485969046801040*lu1^9 - 44416509727752177621200*lu1^10 + 12790283742095207460000* lu1^11)*f44n[t] + 12*(30968298 - 4137492570*lu1 + 333860062289*lu1^2 - 2250332112437*lu1^3 - 301604764647260*lu1^4 + 2606497131245716*lu1^5 + 64212059381191025*lu1^6 - 235712171480894797*lu1^7 - 5073338325742435024*lu1^8 - 11243962793206350680*lu1^9 + 41148593843380735600*lu1^10 + 221691796254441870000* lu1^11)*g44n[t]) + f44n[t]^2*((25698631779 + 2979209299500*lu1 - 125768093692443*lu1^2 - 11523131462861166*lu1^3 + 196373867236228645*lu1^4 + 8313405458472311448*lu1^5 - 50056115584363137525*lu1^6 - 939218300186950477126*lu1^7 + 1065945986584849726008* lu1^8 - 14382971485969046801040*lu1^9 - 44416509727752177621200*lu1^10 + 12790283742095207460000* lu1^11)*f44n[t] - 6*(406306179 - 20143094550*lu1 - 297304143643*lu1^2 + 20428022621824*lu1^3 + 12022907914165*lu1^4 - 5123187127704062*lu1^5 + 32349071336023835*lu1^6 + 182503027369610324*lu1^7 - 6756944536114876552*lu1^8 + 11738837162376739360*lu1^9 + 376780050122838938800*lu1^10 + 392220473202431160000* lu1^11)*g44n[t])))) + 221*(-3 + 37*lu1 + 6846*lu1^2)* f22n[t]*(Sqrt[70]*f40[t]*(Sqrt[3]*(7830590220 - 27850280859*lu1 - 1981848438930*lu1^2 - 144619017493957*lu1^3 - 555534312054304* lu1^4 + 33601440874965835*lu1^5 + 96177793909119862*lu1^6 - 964717578077391675*lu1^7 - 4877636416448562944*lu1^8 - 4844098690376039808*lu1^9 + 10825489672024306640*lu1^10 + 26642651754288054000*lu1^11 + 19965054363618952000*lu1^12 + 5710832716516480000*lu1^13)*f42[t] + 2*(-1 + 7*lu1 + 170*lu1^2)*(5*(-16337916 + 350879490*lu1 + 9775541730*lu1^2 - 130899886389*lu1^3 + 251482631918*lu1^4 - 3109179529232* lu1^5 + 13942783285130*lu1^6 + 375619640126535*lu1^7 + 1158269461265282*lu1^8 + 1874309461573796*lu1^9 + 1520743495985080*lu1^10 + 330033674084800*lu1^11)*g22[t] - Sqrt[3]*(-45102204 + 1165125861*lu1 + 14083006116*lu1^2 - 353926446917*lu1^3 + 4328373584682*lu1^4 - 2649229458057* lu1^5 - 175024477696040*lu1^6 - 307180247536099*lu1^7 + 3473089138273998*lu1^8 + 13269389970156780*lu1^9 + 14705736012122600*lu1^10 + 4474858838016000*lu1^11)* g42[t])) + 7*(Sqrt[3]*f42[t]*(10*(-331673508 - 5762942037* lu1 + 350748771522*lu1^2 + 5079375632045*lu1^3 - 231145332417112*lu1^4 - 2149481844378027*lu1^5 + 25616018554008554*lu1^6 + 296816927372850723*lu1^7 - 369398320038215808*lu1^8 - 1944721789866541568*lu1^9 + 1804444427350770096*lu1^10 + 6537989314753376400*lu1^11 + 3784281985751531200*lu1^12 + 841279979969408000*lu1^13)* f44[t] + (3 - 34*lu1 - 457*lu1^2 + 2476*lu1^3 + 6460*lu1^4)* (5*Sqrt[14]*(2776194 - 60867963*lu1 - 832089384*lu1^2 + 12719367264*lu1^3 - 198700664548*lu1^4 + 27855974799* lu1^5 + 10169146467042*lu1^6 + 30586321061276*lu1^7 + 31566894347640*lu1^8 + 10430924532000*lu1^9)*g20[t] - 3*(Sqrt[70]*(1305450 - 39237651*lu1 + 137541432*lu1^2 + 8871290944*lu1^3 - 130458257964*lu1^4 - 787034708665* lu1^5 + 4296985591714*lu1^6 + 22037094218460*lu1^7 + 28744189374200*lu1^8 + 10779224484000*lu1^9)*g40[t] + 770*(-2178 - 17967*lu1 + 2054014*lu1^2 + 46222894*lu1^3 - 35681702*lu1^4 - 13938995419*lu1^5 - 90499641734* lu1^6 + 254204419540*lu1^7 + 638960133400*lu1^8 + 227247636000*lu1^9)*g44[t]))) - 10*(-2*(-1 + 7*lu1 + 170*lu1^2)*(f44[t]*(13*(-201474 + 31447494*lu1 - 2088802701*lu1^2 + 9529629191*lu1^3 + 393726634574*lu1^4 + 81019449448*lu1^5 - 26353666601969* lu1^6 - 166461766455593*lu1^7 - 143065452646*lu1^8 + 825093548539844*lu1^9 + 1054636887061640*lu1^10 + 356390677921600*lu1^11)*g22[t] + Sqrt[3]*(1154790 - 106590501*lu1 + 4382313681*lu1^2 + 3331350553*lu1^3 - 538587538818*lu1^4 - 4784449670931*lu1^5 + 28449968491105*lu1^6 + 319627994099603*lu1^7 + 5941711060794*lu1^8 - 2193266079843372*lu1^9 - 3045347281666840*lu1^10 - 1012957264435200*lu1^11)* g42[t]) + f44n[t]*((-49771638 + 1413072648*lu1 + 10298859453*lu1^2 - 372871583303*lu1^3 - 242918299862* lu1^4 + 10366353647006*lu1^5 + 55184874231977*lu1^6 + 1765719532222709*lu1^7 + 3981328515883918*lu1^8 + 1948705998131308*lu1^9 - 714142181543720*lu1^10 - 383067417812800*lu1^11)*g22n[t] + Sqrt[3]*(9323370 - 257787513*lu1 - 1011198549*lu1^2 + 46465930211*lu1^3 - 436518051102*lu1^4 + 2500528372965*lu1^5 + 29032589827619*lu1^6 - 239971307759603*lu1^7 - 801835444060698*lu1^8 - 341718345986484*lu1^9 + 446119811615320*lu1^10 + 162954985401600*lu1^11)* g42n[t])) + Sqrt[3]*f42n[t]*((-3031686036 - 6047736795* lu1 + 1641971423814*lu1^2 + 55304127129467*lu1^3 - 261903571785160*lu1^4 - 13503946852962229*lu1^5 + 46983686245503486*lu1^6 + 814838478829381701*lu1^7 + 844483561636971368*lu1^8 - 1897034802729159808*lu1^9 - 1426794485446042928*lu1^10 + 2262004605794175600*lu1^11 + 1586497700530206400*lu1^12 + 173416776286656000*lu1^13)* f44n[t] + (14827806 - 412099263*lu1 - 9653114046*lu1^2 + 229736556323*lu1^3 + 815924417788*lu1^4 - 14635871616745* lu1^5 - 55498062738454*lu1^6 - 1197233846785291*lu1^7 + 5995059761187274*lu1^8 + 101016811646421280*lu1^9 + 196812338926534768*lu1^10 + 44751373654460240*lu1^11 - 120091285650149600*lu1^12 - 60697607647152000*lu1^13)* g44n[t])))))))/(51102051*(-3 + 13*lu1 + 38*lu1^2)^2* (-1 + 7*lu1 + 170*lu1^2)^3*(81 - 1620*lu1 - 241047*lu1^2 + 2079342*lu1^3 + 147229252*lu1^4 + 286928712*lu1^5 + 126514080*lu1^6)* Pi)