-- eta relations --
g1:=e1^8*e2^8-e1^14*e5^2-16*e2^14*e10^2+10*e1^13*e5^2*e25+195*e1^8*e2^7*e50-2960*e2^13*e10^2*e50+3400*e1^7*e2^7*e25*e50+22775*e1^8*e2^6*e50^2-380000*e2^12*e10^2*e50^2+491900*e1^7*e2^6*e25*e50^2+2962475*e1^8*e2^5*e50^3-49664000*e2^11*e10^2*e50^3+64434750*e1^7*e2^5*e25*e50^3+386905125*e1^8*e2^4*e50^4-6487700000*e2^10*e10^2*e50^4+8417641250*e1^7*e2^4*e25*e50^4+50542160625*e1^8*e2^3*e50^5-847500600000*e2^9*e10^2*e50^5+1099614356250*e1^7*e2^3*e25*e50^5+6602422225000*e1^8*e2^2*e50^6-110710677750000*e2^8*e10^2*e50^6+143644792187500*e1^7*e2^2*e25*e50^6+862487436437500*e1^8*e2*e50^7-14462354203750000*e2^7*e10^2*e50^7+18764602537812500*e1^7*e2*e25*e50^7+112668435076875000*e1^8*e50^8-1889245856462500000*e2^6*e10^2*e50^8+2451257042532812500*e1^7*e25*e50^8-4956651615290625000*e2^3*e5^3*e10*e25*e50^8+19674751526687500000*e1^6*e25^2*e50^8+78139873883960937500*e1^5*e25^3*e50^8+199946341501875000000*e1^4*e25^4*e50^8+324682958112539062500*e1^3*e25^5*e50^8+320051715381054687500*e1^2*e25^6*e50^8+106338670388281250000*e1*e25^7*e50^8+6886779947412500000*e1*e2^2*e5^3*e10*e50^9-11306314165212500000*e2^5*e10^2*e50^9-4056187671226562500*e2^2*e5^3*e10*e25*e50^9+17012386703296875000*e1*e2*e5^3*e10*e50^10-36481409705375000000*e2^4*e10^2*e50^10+170555072710937500*e2*e5^3*e10*e25*e50^10+38489062183023437500*e1*e5^3*e10*e50^11-76090461321500000000*e2^3*e10^2*e50^11+21267734077656250000*e5^3*e10*e25*e50^11-102767343863593750000*e2^2*e10^2*e50^12-85070936310625000000*e2*e10^2*e50^13;
g2:=e1^8*e2^6*e10^2-16*e2^12*e10^4-e1^15*e25+9*e1^14*e25^2-43750*e1^4*e25^12-46875*e1^3*e25^13-78125*e1^2*e25^14-78125*e1*e25^15+202*e1^8*e2^5*e10^2*e50-3328*e2^11*e10^4*e50+3766*e1^7*e2^5*e10^2*e25*e50+25256*e1^8*e2^4*e10^2*e50^2-423440*e2^10*e10^4*e50^2+548885*e1^7*e2^4*e10^2*e25*e50^2+3301790*e1^8*e2^3*e10^2*e50^3-55353120*e2^9*e10^4*e50^3+71820080*e1^7*e2^3*e10^2*e25*e50^3+431227680*e1^8*e2^2*e10^2*e50^4-7230922000*e2^8*e10^4*e50^4+9381955100*e1^7*e2^2*e10^2*e25*e50^4+56332169925*e1^8*e2*e10^2*e50^5-944588626000*e2^7*e10^4*e50^5+1225584109650*e1^7*e2*e10^2*e25*e50^5+7358783204150*e1^8*e10^2*e50^6-123393482866000*e2^6*e10^4*e50^6+160100467033000*e1^7*e10^2*e25*e50^6+961292360203625*e1^3*e2^4*e5*e10*e50^7+3106713150220500*e2^5*e10^4*e50^7-3118069213611125*e1^2*e2^4*e5*e10*e25*e50^7-3027990792836750*e1^3*e2^3*e5*e10*e50^8-12448728678012500*e2^4*e10^4*e50^8-4625082309995625*e1^2*e2^3*e5*e10*e25*e50^8+7142038942627500*e1^3*e2^2*e5*e10*e50^9-15424185359982500*e2^3*e10^4*e50^9+38833914377072500*e1^2*e2^2*e5*e10*e25*e50^9+85379921431741250*e1^3*e2*e5*e10*e50^10+388339143759300000*e2^2*e10^4*e50^10-155609108478712500*e1^2*e2*e5*e10*e25*e50^10-874446700896000000*e1*e2*e5*e10*e25^2*e50^10-2427119648494828125*e2*e5*e10*e25^3*e50^10+369058912058840625*e1^3*e5*e10*e50^11+1941695718795875000*e2*e10^4*e50^11+485423929698890625*e1^2*e5*e10*e25*e50^11+171875*e1*e5*e10*e25^2*e50^11-78125*e5*e10*e25^3*e50^11+62500*e10^4*e50^12;
g3:=e1^12*e5^2*e25^2-e1^8*e2^7*e50+16*e2^13*e10^2*e50-12*e1^7*e2^7*e25*e50-125*e1^8*e2^6*e50^2+2096*e2^12*e10^2*e50^2-2660*e1^7*e2^6*e25*e50^2-16295*e1^8*e2^5*e50^3+273120*e2^11*e10^2*e50^3-354270*e1^7*e2^5*e25*e50^3-2128035*e1^8*e2^4*e50^4+35682400*e2^10*e10^2*e50^4-46296850*e1^7*e2^4*e25*e50^4-277981775*e1^8*e2^3*e50^5+4661252000*e2^9*e10^2*e50^5-6047876250*e1^7*e2^3*e25*e50^5-36313310125*e1^8*e2^2*e50^6+608908520000*e2^8*e10^2*e50^6-790046092500*e1^7*e2^2*e25*e50^6-4743679305000*e1^8*e2*e50^7+79542921350000*e2^7*e10^2*e50^7-103205279212500*e1^7*e2*e25*e50^7-619676184287500*e1^8*e50^8+10390848712250000*e2^6*e10^2*e50^8-13481909194937500*e1^7*e25*e50^8+27261574705312500*e2^3*e5^3*e10*e25*e50^8-108211096964687500*e1^6*e25^2*e50^8-429769161667187500*e1^5*e25^3*e50^8-1099704508007812500*e1^4*e25^4*e50^8-1785755668375000000*e1^3*e25^5*e50^8-1760283841914062500*e1^2*e25^6*e50^8-584862490195312500*e1*e25^7*e50^8-37877276958750000*e1*e2^2*e5^3*e10*e50^9+62184706972500000*e2^5*e10^2*e50^9+22309024679687500*e2^2*e5^3*e10*e25*e50^9-93568095367187500*e1*e2*e5^3*e10*e50^10+200647685825000000*e2^4*e10^2*e50^10-938052587500000*e2*e5^3*e10*e25*e50^10-211689770735937500*e1*e5^3*e10*e50^11+418497396362500000*e2^3*e10^2*e50^11-116972498039062500*e5^3*e10*e25*e50^11+565220200937500000*e2^2*e10^2*e50^12+467889992156250000*e2*e10^2*e50^13;
g4:=e5^2*e25^14-e1^8*e2*e50^7+16*e2^7*e10^2*e50^7-24*e1^7*e2*e25*e50^7-149*e1^8*e50^8+2480*e2^6*e10^2*e50^8-3240*e1^7*e25*e50^8+6550*e2^3*e5^3*e10*e25*e50^8-26005*e1^6*e25^2*e50^8-103272*e1^5*e25^3*e50^8-264235*e1^4*e25^4*e50^8-429080*e1^3*e25^5*e50^8-422925*e1^2*e25^6*e50^8-140550*e1*e25^7*e50^8-5*e25^8*e50^8-9100*e1*e2^2*e5^3*e10*e50^9+14896*e2^5*e10^2*e50^9+5330*e2^2*e5^3*e10*e25*e50^9-22470*e1*e2*e5^3*e10*e50^10+48160*e2^4*e10^2*e50^10-300*e2*e5^3*e10*e25*e50^10-50850*e1*e5^3*e10*e50^11+100640*e2^3*e10^2*e50^11-28108*e5^3*e10*e25*e50^11+136000*e2^2*e10^2*e50^12+112400*e2*e10^2*e50^13+16*e10^2*e50^14;
g5:=e1^9*e5^3-e1^8*e2^3*e10+16*e2^9*e10^3-15*e1^7*e2^3*e10*e25-115*e1^8*e2^2*e10*e50+2000*e2^8*e10^3*e50-2575*e1^7*e2^2*e10*e25*e50-15575*e1^8*e2*e10*e50^2+261200*e2^7*e10^3*e50^2-338925*e1^7*e2*e10*e25*e50^2-2035050*e1^8*e10*e50^3+34124000*e2^6*e10^3*e50^3-44275000*e1^7*e10*e25*e50^3-265840750*e1^3*e2^4*e5*e50^4-859145000*e2^5*e10^3*e50^4+862285000*e1^2*e2^4*e5*e25*e50^4+837372500*e1^3*e2^3*e5*e50^5+3442625000*e2^4*e10^3*e50^5+1279043750*e1^2*e2^3*e5*e25*e50^5-1975087500*e1^3*e2^2*e5*e50^6+4265500000*e2^3*e10^3*e50^6-10739312500*e1^2*e2^2*e5*e25*e50^6-23611375000*e1^3*e2*e5*e50^7-107393125000*e2^2*e10^3*e50^7+43032812500*e1^2*e2*e5*e25*e50^7+241823437500*e1*e2*e5*e25^2*e50^7+671207031250*e2*e5*e25^3*e50^7-102061250000*e1^3*e5*e50^8-536965625000*e2*e10^3*e50^8-134241406250*e1^2*e5*e25*e50^8;
g6:=e1^8*e2*e10^3-16*e2^7*e10^5-e1^10*e5*e25+14*e1^9*e5*e25^2-1875*e1^4*e5*e25^7-7625*e1^3*e5*e25^8-19375*e1^2*e5*e25^9-20625*e1*e5*e25^10+142*e1^8*e10^3*e50-2368*e2^6*e10^5*e50+2976*e1^7*e10^3*e25*e50+18146*e1^3*e2^4*e5*e10^2*e50^2+58680*e2^5*e10^5*e50^2-58465*e1^2*e2^4*e5*e10^2*e25*e50^2-55335*e1^3*e2^3*e5*e10^2*e50^3-226420*e2^4*e10^5*e50^3-89820*e1^2*e2^3*e5*e10^2*e25*e50^3+134255*e1^3*e2^2*e5*e10^2*e50^4-280500*e2^3*e10^5*e50^4+717350*e1^2*e2^2*e5*e10^2*e25*e50^4+1590925*e1^3*e2*e5*e10^2*e50^5+7223500*e2^2*e10^5*e50^5-2880350*e1^2*e2*e5*e10^2*e25*e50^5-16206375*e1*e2*e5*e10^2*e25^2*e50^5-45046625*e2*e5*e10^2*e25^3*e50^5+6842775*e1^3*e5*e10^2*e50^6+36034000*e2*e10^5*e50^6+9005500*e1^2*e5*e10^2*e25*e50^6-26000*e1*e5*e10^2*e25^2*e50^6+20625*e5*e10^2*e25^3*e50^6-16500*e10^5*e50^7;
g7:=e1^8*e10^4-e1^5*e2^4*e5^2*e25-16*e2^11*e50+19*e1^6*e2^3*e5^2*e50+95*e1^5*e2^3*e5^2*e25*e50-480*e2^10*e50^2+695*e1^6*e2^2*e5^2*e50^2+3485*e1^5*e2^2*e5^2*e25*e50^2-14160*e2^9*e50^3+21210*e1^6*e2*e5^2*e50^3+105000*e1^5*e2*e5^2*e25*e50^3-428400*e2^8*e50^4+637950*e1^6*e5^2*e50^4+3164950*e1^5*e5^2*e25*e50^4+9851950*e1^2*e2*e5*e10^3*e25*e50^4+9380250*e1^4*e5^2*e25^2*e50^4+26060250*e1*e2*e5*e10^3*e25^2*e50^4+15864500*e1^3*e5^2*e25^3*e50^4+49981750*e2*e5*e10^3*e25^3*e50^4+17378750*e1^2*e5^2*e25^4*e50^4-1021250*e1*e5^2*e25^5*e50^4-12909600*e2^7*e50^5-4687800*e1^3*e5*e10^3*e50^5-838250*e1^2*e5*e10^3*e25*e50^5+18604250*e1*e5*e10^3*e25^2*e50^5-1021250*e5*e10^3*e25^3*e50^5-100108000*e2^6*e50^6-371277000*e2^5*e50^7-875015000*e2^4*e50^8-1256005000*e2^3*e50^9-975125000*e2^2*e50^10+20425000*e2*e50^11;
g8:=e1^3*e2^5*e5-e1^8*e10+20*e2^6*e10^3-25*e1^7*e10*e25-150*e1^3*e2^4*e5*e50-500*e2^5*e10^3*e50+500*e1^2*e2^4*e5*e25*e50+500*e1^3*e2^3*e5*e50^2+2000*e2^4*e10^3*e50^2+750*e1^2*e2^3*e5*e25*e50^2-1125*e1^3*e2^2*e5*e50^3+2500*e2^3*e10^3*e50^3-6250*e1^2*e2^2*e5*e25*e50^3-13750*e1^3*e2*e5*e50^4-62500*e2^2*e10^3*e50^4+25000*e1^2*e2*e5*e25*e50^4+140625*e1*e2*e5*e25^2*e50^4+390625*e2*e5*e25^3*e50^4-59375*e1^3*e5*e50^5-312500*e2*e10^3*e50^5-78125*e1^2*e5*e25*e50^5;
g9:=4*e2^8*e5-5*e1^6*e5^3+e1^5*e2^3*e10-25*e1^4*e2^3*e10*e25-25*e1^5*e2^2*e10*e50-125*e1^4*e2^2*e10*e25*e50-100*e2^6*e5*e50^2-25*e1^5*e2*e10*e50^2+125*e1^4*e2*e10*e25*e50^2-9375*e1*e2*e10*e25^4*e50^2-3125*e2*e10*e25^5*e50^2+500*e2^5*e5*e50^3+250*e1^5*e10*e50^3+3125*e1^3*e10*e25^2*e50^3+3125*e1^2*e10*e25^3*e50^3+5000*e2^4*e5*e50^4+12500*e2^3*e5*e50^5+12500*e2^2*e5*e50^6+12500*e2*e5*e50^7;
g10:=8*e2^6*e5*e10^2+2*e1^5*e2*e10^3-10*e1^7*e5*e25-60*e1^6*e5*e25^2+600*e1^4*e5*e25^4+2500*e1^3*e5*e25^5+4750*e1^2*e5*e25^6+5000*e1*e5*e25^7-136*e2^5*e5*e10^2*e50-44*e1^5*e10^3*e50-240*e1^4*e10^3*e25*e50-1350*e1^2*e10^3*e25^3*e50+625*e1*e10^3*e25^4*e50-800*e1*e2*e5^4*e10*e50^2-640*e2^4*e5*e10^2*e50^2+1450*e2*e5^4*e10*e25*e50^2-375*e1*e5^4*e10*e50^3-5200*e2^3*e5*e10^2*e50^3+1000*e5^4*e10*e25*e50^3-11100*e2^2*e5*e10^2*e50^4-4000*e2*e5*e10^2*e50^5;
g11:=4*e2^5*e5*e10^3+e1^5*e10^4-5*e1^2*e2^4*e5^2*e25-5*e1^3*e2^3*e5^2*e50-25*e1^2*e2^3*e5^2*e25*e50-25*e1^3*e2^2*e5^2*e50^2-100*e2^3*e5*e10^3*e50^2+25*e1^2*e2^2*e5^2*e25*e50^2+150*e1^3*e2*e5^2*e50^3+500*e2^2*e5*e10^3*e50^3-625*e1*e2*e5^2*e25^2*e50^3-3125*e2*e5^2*e25^3*e50^3+375*e1^3*e5^2*e50^4+2500*e2*e5*e10^3*e50^4+625*e1^2*e5^2*e25*e50^4;
g12:=e2^8*e25-e1^6*e5^2*e25-6*e1^5*e5^2*e25^2-13*e2^7*e25*e50+41*e1^3*e5*e10^3*e25*e50+65*e1^2*e5*e10^3*e25^2*e50-e1*e2^6*e50^2-23*e2*e5^5*e10*e50^2-e2^6*e25*e50^2+31*e1*e2^5*e50^3-75*e5^5*e10*e50^3+100*e2^5*e25*e50^3+125*e1*e2^4*e50^4+655*e2^4*e25*e50^4+260*e1*e2^3*e50^5+1375*e2^3*e25*e50^5+25*e1*e2^2*e50^6+1875*e2^2*e25*e50^6-825*e1*e2*e50^7-1875*e1*e50^8;
g13:=e2^6*e10^2*e25-e1^7*e25^2-50*e1^3*e25^6-125*e1^2*e25^7-250*e1*e25^8-7*e1^2*e2^2*e5^3*e10*e50+6*e2^5*e10^2*e25*e50+15*e1^2*e2*e5^3*e10*e50^2-29*e1*e2^4*e10^2*e50^2+65*e2^4*e10^2*e25*e50^2-105*e1^2*e5^3*e10*e50^3-450*e1*e5^3*e10*e25*e50^3+530*e2^3*e10^2*e25*e50^3-50*e5^3*e10*e25^2*e50^3-395*e1*e2^2*e10^2*e50^4+725*e2^2*e10^2*e25*e50^4-1100*e1*e2*e10^2*e50^5+200*e2*e10^2*e25*e50^5-2425*e1*e10^2*e50^6;
g14:=e1^6*e2*e25^2-e1^8*e50+16*e2^6*e10^2*e50-18*e1^7*e25*e50+26*e2^3*e5^3*e10*e25*e50-140*e1^6*e25^2*e50-560*e1^5*e25^3*e50-1450*e1^4*e25^4*e50-2400*e1^3*e25^5*e50-2500*e1^2*e25^6*e50-1000*e1*e25^7*e50-44*e1*e2^2*e5^3*e10*e50^2+96*e2^5*e10^2*e50^2+40*e2^2*e5^3*e10*e25*e50^2-130*e1*e2*e5^3*e10*e50^3+320*e2^4*e10^2*e50^3+40*e2*e5^3*e10*e25*e50^3-260*e1*e5^3*e10*e50^4+560*e2^3*e10^2*e50^4-200*e5^3*e10*e25*e50^4+800*e2^2*e10^2*e50^5+800*e2*e10^2*e50^6;
g15:=e1^6*e10*e25^2-e1^3*e2^4*e5*e50-4*e2^5*e10^3*e50+7*e1^2*e2^4*e5*e25*e50+e1^3*e2^3*e5*e50^2+25*e1^2*e2^3*e5*e25*e50^2+15*e1^3*e2^2*e5*e50^3+100*e2^3*e10^3*e50^3-25*e1^2*e2^2*e5*e25*e50^3-150*e1^3*e2*e5*e50^4-500*e2^2*e10^3*e50^4+625*e1*e2*e5*e25^2*e50^4+3125*e2*e5*e25^3*e50^4-375*e1^3*e5*e50^5-2500*e2*e10^3*e50^5-625*e1^2*e5*e25*e50^5;
g16:=e1^6*e25^3-10*e1^4*e25^5-50*e1^3*e25^6-100*e1^2*e25^7-125*e1*e25^8-e1^2*e2^2*e5^3*e10*e50+4*e2^5*e10^2*e25*e50+2*e1^2*e2*e5^3*e10*e50^2-4*e1*e2^4*e10^2*e50^2+26*e2^4*e10^2*e25*e50^2-10*e1^2*e5^3*e10*e50^3-4*e1*e2^3*e10^2*e50^3-40*e1*e5^3*e10*e25*e50^3+110*e2^3*e10^2*e25*e50^3-25*e5^3*e10*e25^2*e50^3-50*e1*e2^2*e10^2*e50^4+170*e2^2*e10^2*e25*e50^4-130*e1*e2*e10^2*e50^5+100*e2*e10^2*e25*e50^5-250*e1*e10^2*e50^6;
g17:=e1^5*e2*e25^3-e1^7*e25*e50+18*e2^3*e5^3*e10*e25*e50-20*e1^6*e25^2*e50-110*e1^5*e25^3*e50-350*e1^4*e25^4*e50-700*e1^3*e25^5*e50-850*e1^2*e25^6*e50-500*e1*e25^7*e50+26*e2^2*e5^3*e10*e25*e50^2+6*e1*e2*e5^3*e10*e50^3+16*e2^4*e10^2*e50^3+40*e2*e5^3*e10*e25*e50^3-50*e1*e5^3*e10*e50^4+160*e2^3*e10^2*e50^4-100*e5^3*e10*e25*e50^4+320*e2^2*e10^2*e50^5+400*e2*e10^2*e50^6;
g18:=e1^4*e2^2*e25^3-e1^6*e2*e25*e50+2*e1*e5*e10^5*e25*e50-2*e1^5*e2*e25^2*e50+10*e1^3*e2*e25^4*e50+25*e1^2*e2*e25^5*e50+50*e1*e2*e25^6*e50-4*e2^3*e5^3*e10*e50^2+5*e1^4*e25^3*e50^2-10*e2^2*e5^3*e10*e50^3;
g19:=10*e1^5*e5*e25^3+50*e1^4*e5*e25^4+150*e1^3*e5*e25^5+250*e1^2*e5*e25^6+250*e1*e5*e25^7-8*e2^5*e5*e10^2*e50-2*e1^5*e10^3*e50-10*e1^4*e10^3*e25*e50-50*e1^2*e10^3*e25^3*e50+25*e1*e10^3*e25^4*e50-30*e1*e2*e5^4*e10*e50^2-40*e2^4*e5*e10^2*e50^2+60*e2*e5^4*e10*e25*e50^2-15*e1*e5^4*e10*e50^3-240*e2^3*e5*e10^2*e50^3+50*e5^4*e10*e25*e50^3-500*e2^2*e5*e10^2*e50^4-200*e2*e5*e10^2*e50^5;
g20:=2*e1^4*e5^2*e25^3-2*e2^7*e25*e50+8*e1^3*e5*e10^3*e25*e50+9*e1^2*e5*e10^3*e25^2*e50-5*e2*e5^5*e10*e50^2+2*e2^6*e25*e50^2+2*e1*e2^5*e50^3-12*e5^5*e10*e50^3+28*e2^5*e25*e50^3+6*e1*e2^4*e50^4+130*e2^4*e25*e50^4+260*e2^3*e25*e50^5-70*e1*e2^2*e50^6+300*e2^2*e25*e50^6-200*e1*e2*e50^7-300*e1*e50^8;
g21:=e1^2*e5*e10^3*e25^3-e2^6*e25^2*e50+2*e1*e2^5*e25*e50^2-3*e2^5*e25^2*e50^2+10*e1*e2^4*e25*e50^3-5*e2^4*e25^2*e50^3-2*e1^2*e2^3*e50^4+25*e1*e2^3*e25*e50^4-5*e2^3*e25^2*e50^4-5*e1^2*e2^2*e50^5+35*e1*e2^2*e25*e50^5-10*e1^2*e2*e50^6+25*e1*e2*e25*e50^6;
g22:=e1*e2*e5*e10^3*e25^3-e1^3*e5*e10^3*e25*e50-e1^2*e5*e10^3*e25^2*e50+e2*e5^5*e10*e50^2-2*e2^6*e25*e50^2+2*e5^5*e10*e50^3-10*e2^5*e25*e50^3+2*e1*e2^4*e50^4-30*e2^4*e25*e50^4+10*e1*e2^3*e50^5-50*e2^3*e25*e50^5+30*e1*e2^2*e50^6-50*e2^2*e25*e50^6+50*e1*e2*e50^7+50*e1*e50^8;
g23:=e1^5*e25^4+5*e1^4*e25^5+15*e1^3*e25^6+25*e1^2*e25^7+25*e1*e25^8-e2^5*e10^2*e25*e50-5*e2^4*e10^2*e25*e50^2-e1^2*e5^3*e10*e50^3+e1*e2^3*e10^2*e50^3-5*e1*e5^3*e10*e25*e50^3-11*e2^3*e10^2*e25*e50^3+5*e5^3*e10*e25^2*e50^3-e1*e2^2*e10^2*e50^4-20*e2^2*e10^2*e25*e50^4-5*e1*e2*e10^2*e50^5-20*e2*e10^2*e25*e50^5-20*e1*e10^2*e50^6;
g24:=e1^4*e2*e25^4-8*e2^3*e5^3*e10*e25*e50+7*e1^6*e25^2*e50+50*e1^5*e25^3*e50+180*e1^4*e25^4*e50+400*e1^3*e25^5*e50+550*e1^2*e25^6*e50+400*e1*e25^7*e50-4*e1*e2^2*e5^3*e10*e50^2-22*e2^2*e5^3*e10*e25*e50^2-8*e1*e2*e5^3*e10*e50^3-16*e2^4*e10^2*e50^3-36*e2*e5^3*e10*e25*e50^3+14*e1*e5^3*e10*e50^4-96*e2^3*e10^2*e50^4+80*e5^3*e10*e25*e50^4-240*e2^2*e10^2*e50^5-320*e2*e10^2*e50^6;
g25:=5*e1^3*e5^2*e25^4-5*e1^3*e5*e10^3*e25*e50+4*e2*e5^5*e10*e50^2-4*e2^6*e25*e50^2+5*e5^5*e10*e50^3-25*e2^5*e25*e50^3-80*e2^4*e25*e50^4+5*e1*e2^3*e50^5-150*e2^3*e25*e50^5+50*e1*e2^2*e50^6-125*e2^2*e25*e50^6+100*e1*e2*e50^7+125*e1*e50^8;
g26:=5*e1^3*e2*e25^5+6*e2^3*e5^3*e10*e25*e50-6*e1^6*e25^2*e50-45*e1^5*e25^3*e50-170*e1^4*e25^4*e50-400*e1^3*e25^5*e50-600*e1^2*e25^6*e50-500*e1*e25^7*e50+4*e1*e2^2*e5^3*e10*e50^2+36*e2^2*e5^3*e10*e25*e50^2+6*e1*e2*e5^3*e10*e50^3+16*e2^4*e10^2*e50^3+40*e2*e5^3*e10*e25*e50^3+80*e2^3*e10^2*e50^4-100*e5^3*e10*e25*e50^4+320*e2^2*e10^2*e50^5+400*e2*e10^2*e50^6;
g27:=10*e1^2*e5^2*e25^5-5*e1^2*e5*e10^3*e25^2*e50+10*e1*e5*e10^3*e25^3*e50-e2*e5^5*e10*e50^2-4*e2^6*e25*e50^2+2*e5^5*e10*e50^3-12*e2^5*e25*e50^3-30*e2^4*e25*e50^4-40*e2^3*e25*e50^5-10*e1*e2^2*e50^6-50*e2^2*e25*e50^6+50*e1*e50^8;
g28:=5*e1*e2*e5^2*e25^5+2*e1^2*e2*e5*e10^3*e25*e50-2*e1^4*e5^2*e25^2*e50-2*e1*e2*e5*e10^3*e25^2*e50-5*e1^3*e5^2*e25^3*e50+10*e2*e5*e10^3*e25^3*e50-10*e1^2*e5^2*e25^4*e50-2*e1^3*e5*e10^3*e50^2-2*e1^2*e5*e10^3*e25*e50^2-10*e1*e5*e10^3*e25^2*e50^2-8*e2^6*e50^3-40*e2^5*e50^4-120*e2^4*e50^5-200*e2^3*e50^6-200*e2^2*e50^7;
g29:=5*e1^2*e2*e25^6+2*e2^3*e5^3*e10*e25*e50-2*e1^6*e25^2*e50-16*e1^5*e25^3*e50-55*e1^4*e25^4*e50-120*e1^3*e25^5*e50-150*e1^2*e25^6*e50-100*e1*e25^7*e50+4*e1*e2^2*e5^3*e10*e50^2-2*e2^2*e5^3*e10*e25*e50^2+6*e1*e2*e5^3*e10*e50^3+16*e2^4*e10^2*e50^3+4*e2*e5^3*e10*e25*e50^3-6*e1*e5^3*e10*e50^4+64*e2^3*e10^2*e50^4-20*e5^3*e10*e25*e50^4+80*e2^2*e10^2*e50^5+80*e2*e10^2*e50^6;
g30:=5*e1*e2*e5*e25^6+2*e1^2*e2*e10^3*e25^2*e50-2*e1^4*e5*e25^3*e50-2*e1*e2*e10^3*e25^3*e50-5*e1^3*e5*e25^4*e50-10*e1^2*e5*e25^5*e50-2*e1^3*e10^3*e25*e50^2-2*e1^2*e10^3*e25^2*e50^2-10*e1*e10^3*e25^3*e50^2+2*e2*e5^4*e10*e50^3;
g31:=50*e1*e5^2*e25^6-5*e1^2*e5*e10^3*e25^2*e50-60*e1*e5*e10^3*e25^3*e50+e2*e5^5*e10*e50^2+4*e2^6*e25*e50^2+10*e2^5*e25*e50^3+20*e2^4*e25*e50^4+10*e1*e2^3*e50^5+50*e2^3*e25*e50^5+50*e2^2*e25*e50^6-50*e1*e2*e50^7-250*e1*e50^8;
g32:=5*e2*e5^2*e25^6-2*e1^3*e5^2*e25^3*e50-12*e2*e5*e10^3*e25^3*e50-5*e1^2*e5^2*e25^4*e50-10*e1*e5^2*e25^5*e50+2*e1^3*e5*e10^3*e50^2+4*e1^2*e5*e10^3*e25*e50^2+8*e1*e5*e10^3*e25^2*e50^2-10*e5*e10^3*e25^3*e50^2+8*e2^6*e50^3+48*e2^5*e50^4+160*e2^4*e50^5+320*e2^3*e50^6+400*e2^2*e50^7+200*e2*e50^8;
g33:=5*e5^3*e25^6-4*e2^5*e5*e50^3-e1^5*e10*e50^3-5*e1^4*e10*e25*e50^3-15*e1^3*e10*e25^2*e50^3-25*e1^2*e10*e25^3*e50^3-25*e1*e10*e25^4*e50^3+5*e10*e25^5*e50^3-20*e2^4*e5*e50^4-60*e2^3*e5*e50^5-100*e2^2*e5*e50^6-100*e2*e5*e50^7-20*e5*e50^8;
g34:=25*e1*e2*e25^7-4*e2^3*e5^3*e10*e25*e50+4*e1^6*e25^2*e50+40*e1^5*e25^3*e50+150*e1^4*e25^4*e50+375*e1^3*e25^5*e50+550*e1^2*e25^6*e50+500*e1*e25^7*e50-16*e1*e2^2*e5^3*e10*e50^2-14*e2^2*e5^3*e10*e25*e50^2-24*e1*e2*e5^3*e10*e50^3-64*e2^4*e10^2*e50^3-10*e1*e5^3*e10*e50^4-240*e2^3*e10^2*e50^4+100*e5^3*e10*e25*e50^4-480*e2^2*e10^2*e50^5-400*e2*e10^2*e50^6;
g35:=25*e2^2*e25^7+2*e1*e5*e10^5*e25*e50-5*e1^3*e2*e25^4*e50-25*e1^2*e2*e25^5*e50-50*e1*e2*e25^6*e50-2*e1^6*e25*e50^2-5*e1^5*e25^2*e50^2-10*e1^4*e25^3*e50^2-10*e2^2*e5^3*e10*e50^3-20*e2*e5^3*e10*e50^4;
g36:=5*e2*e5*e25^7-2*e1^3*e5*e25^4*e50-2*e2*e10^3*e25^4*e50-5*e1^2*e5*e25^5*e50-10*e1*e5*e25^6*e50+2*e1^3*e10^3*e25*e50^2+4*e1^2*e10^3*e25^2*e50^2+8*e1*e10^3*e25^3*e50^2-2*e2*e5^4*e10*e50^3-2*e5^4*e10*e50^4;
g37:=25*e2*e25^8+2*e2^3*e5^3*e10*e25*e50-2*e1^6*e25^2*e50-16*e1^5*e25^3*e50-60*e1^4*e25^4*e50-150*e1^3*e25^5*e50-225*e1^2*e25^6*e50-200*e1*e25^7*e50+4*e1*e2^2*e5^3*e10*e50^2+8*e2^2*e5^3*e10*e25*e50^2+6*e1*e2*e5^3*e10*e50^3+16*e2^4*e10^2*e50^3-16*e2*e5^3*e10*e25*e50^3+4*e1*e5^3*e10*e50^4+64*e2^3*e10^2*e50^4-40*e5^3*e10*e25*e50^4+160*e2^2*e10^2*e50^5+80*e2*e10^2*e50^6;
g38:=e10*e25^8-e1^3*e2*e5*e50^4-4*e2^2*e10^3*e50^4+e1^2*e2*e5*e25*e50^4+5*e1*e2*e5*e25^2*e50^4+20*e2*e5*e25^3*e50^4-4*e1^3*e5*e50^5-20*e2*e10^3*e50^5-5*e1^2*e5*e25*e50^5-5*e1*e5*e25^2*e50^5+e5*e25^3*e50^5-4*e10^3*e50^6;
g39:=e1^4*e5^4-e1^3*e2^3*e5*e10-4*e2^4*e10^4+5*e1^2*e2^3*e5*e10*e25+5*e1^3*e2^2*e5*e10*e50+25*e1^2*e2^2*e5*e10*e25*e50+25*e1^3*e2*e5*e10*e50^2+100*e2^2*e10^4*e50^2-25*e1^2*e2*e5*e10*e25*e50^2-250*e1*e2*e5*e10*e25^2*e50^2-625*e2*e5*e10*e25^3*e50^2+100*e1^3*e5*e10*e50^3+500*e2*e10^4*e50^3+125*e1^2*e5*e10*e25*e50^3;
g40:=e1*e2^3*e5^3*e10-e1^7*e25+4*e2^3*e5^3*e10*e25-10*e1^6*e25^2-45*e1^5*e25^3-125*e1^4*e25^4-225*e1^3*e25^5-250*e1^2*e25^6-125*e1*e25^7-e1*e2^2*e5^3*e10*e50+4*e2^5*e10^2*e50+5*e2^2*e5^3*e10*e25*e50-5*e1*e2*e5^3*e10*e50^2+20*e2^4*e10^2*e50^2+5*e2*e5^3*e10*e25*e50^2-20*e1*e5^3*e10*e50^3+60*e2^3*e10^2*e50^3-25*e5^3*e10*e25*e50^3+100*e2^2*e10^2*e50^4+100*e2*e10^2*e50^5;
g41:=4*e2^4*e5^3*e10-4*e1^6*e2*e25+10*e1*e5*e10^5*e25-25*e1^5*e2*e25^2-90*e1^4*e2*e25^3-200*e1^3*e2*e25^4-300*e1^2*e2*e25^5-250*e1*e2*e25^6-125*e2*e25^7+e1^7*e50+10*e1^6*e25*e50+60*e1^5*e25^2*e50+200*e1^4*e25^3*e50+450*e1^3*e25^4*e50+625*e1^2*e25^5*e50+500*e1*e25^6*e50+10*e2^2*e5^3*e10*e50^2+100*e5^3*e10*e50^4;
g42:=e2^3*e5^4*e10-e1^6*e5*e25-6*e1^5*e5*e25^2+4*e1^2*e2*e10^3*e25^2-20*e1^4*e5*e25^3+15*e1*e2*e10^3*e25^3-40*e1^3*e5*e25^4+5*e2*e10^3*e25^4-50*e1^2*e5*e25^5-25*e1*e5*e25^6-e2^2*e5^4*e10*e50-e1^4*e10^3*e50-11*e1^3*e10^3*e25*e50-20*e1^2*e10^3*e25^2*e50-20*e1*e10^3*e25^3*e50+5*e2*e5^4*e10*e50^2-5*e5^4*e10*e50^3;
g43:=2*e1^4*e5*e10^3-2*e2^7*e25+5*e1^2*e5*e10^3*e25^2+8*e1*e2^6*e50+5*e2*e5^5*e10*e50-20*e2^6*e25*e50+50*e1*e2^5*e50^2+10*e5^5*e10*e50^2-80*e2^5*e25*e50^2+180*e1*e2^4*e50^3-200*e2^4*e25*e50^3+400*e1*e2^3*e50^4-300*e2^3*e25*e50^4+600*e1*e2^2*e50^5-250*e2^2*e25*e50^5+500*e1*e2*e50^6+250*e1*e50^7;
g44:=e1^3*e2*e5*e10^3-e1^5*e5^2*e25-e1^2*e2*e5*e10^3*e25-5*e1^4*e5^2*e25^2-5*e1*e2*e5*e10^3*e25^2-15*e1^3*e5^2*e25^3-20*e2*e5*e10^3*e25^3-25*e1^2*e5^2*e25^4-25*e1*e5^2*e25^5+4*e2^7*e50+4*e1^3*e5*e10^3*e50+5*e1^2*e5*e10^3*e25*e50+5*e1*e5*e10^3*e25^2*e50-25*e5*e10^3*e25^3*e50+40*e2^6*e50^2+180*e2^5*e50^3+500*e2^4*e50^4+900*e2^3*e50^5+1000*e2^2*e50^6+500*e2*e50^7;
g45:=e1^3*e5*e10^4-e2^4*e5^3*e25+5*e1*e5*e10^4*e25^2-e1*e2^3*e5^3*e50+4*e2^6*e10*e50-10*e2^3*e5^3*e25*e50+20*e2^5*e10*e50^2-20*e2^2*e5^3*e25*e50^2+5*e1*e2*e5^3*e50^3+60*e2^4*e10*e50^3-25*e2*e5^3*e25*e50^3+100*e2^3*e10*e50^4+100*e2^2*e10*e50^5;
g46:=4*e1^2*e5*e10^5+10*e1*e5*e10^5*e25-5*e1^5*e2*e25^2-30*e1^4*e2*e25^3-100*e1^3*e2*e25^4-200*e1^2*e2*e25^5-250*e1*e2*e25^6-125*e2*e25^7+e1^7*e50+10*e1^6*e25*e50+60*e1^5*e25^2*e50+200*e1^4*e25^3*e50+450*e1^3*e25^4*e50+625*e1^2*e25^5*e50+500*e1*e25^6*e50+10*e2^2*e5^3*e10*e50^2+100*e5^3*e10*e50^4;
g47:=e1^3*e2*e10^3*e25-e1^5*e5*e25^2+4*e1^2*e2*e10^3*e25^2-5*e1^4*e5*e25^3+10*e1*e2*e10^3*e25^3-15*e1^3*e5*e25^4+5*e2*e10^3*e25^4-25*e1^2*e5*e25^5-25*e1*e5*e25^6-e2^2*e5^4*e10*e50-e1^3*e10^3*e25*e50+5*e1*e10^3*e25^3*e50-5*e5^4*e10*e50^3;
g48:=e1^3*e10^4*e25-e2^4*e5^2*e25^2+3*e1*e2^3*e5^2*e25*e50-e1^2*e2^2*e5^2*e50^2+5*e1*e2^2*e5^2*e25*e50^2-5*e1^2*e2*e5^2*e50^3;
g49:=e1^2*e5*e10^4*e25+5*e5*e10^4*e25^3-e1*e2^3*e5^3*e50+e2^3*e5^3*e25*e50-4*e1*e2^2*e5^3*e50^2-4*e2^5*e10*e50^2-10*e1*e2*e5^3*e50^3-20*e2^4*e10*e50^3-5*e2*e5^3*e25*e50^3-5*e1*e5^3*e50^4-60*e2^3*e10*e50^4-100*e2^2*e10*e50^5-100*e2*e10*e50^6;
g50:=e1^2*e10^5*e25-e1^2*e5^5*e50-5*e1*e5^5*e25*e50+5*e2^3*e5^2*e10*e25*e50-5*e1*e2^2*e5^2*e10*e50^2+5*e2^2*e5^2*e10*e25*e50^2-15*e1*e2*e5^2*e10*e50^3-25*e1*e5^2*e10*e50^4;
g51:=e1^2*e2^2*e10^2*e25^2-e2^3*e5^4*e50+2*e1^3*e2*e10^2*e25*e50+10*e1^2*e2*e10^2*e25^2*e50+25*e1*e2*e10^2*e25^3*e50-5*e2^2*e5^4*e50^2+e1^4*e10^2*e50^2-5*e1^3*e10^2*e25*e50^2;
g52:=e1^2*e10^4*e25^2-e1*e2^3*e5^2*e25*e50+e2^3*e5^2*e25^2*e50-3*e1*e2^2*e5^2*e25*e50^2+e1^2*e2*e5^2*e50^3-5*e1*e2*e5^2*e25*e50^3;
g53:=e1*e2^2*e10^2*e25^3-e1^3*e2*e10^2*e25*e50-3*e1^2*e2*e10^2*e25^2*e50-5*e1*e2*e10^2*e25^3*e50+e2^2*e5^4*e50^2+e1^3*e10^2*e25*e50^2;
g54:=e1*e10^4*e25^3-e2^3*e5^2*e25^2*e50+e1*e2^2*e5^2*e25*e50^2-e2^2*e5^2*e25^2*e50^2+3*e1*e2*e5^2*e25*e50^3-e1^2*e5^2*e50^4;
g55:=e2*e10^4*e25^3-e1^2*e10^4*e25*e50+e1*e10^4*e25^2*e50-3*e2^3*e5^2*e25*e50^2+e1*e2^2*e5^2*e50^3-5*e2^2*e5^2*e25*e50^3+5*e1*e2*e5^2*e50^4-5*e2*e5^2*e25*e50^4;
g56:=e5^4*e25^4-e1^3*e2*e5*e10*e50^2-4*e2^2*e10^4*e50^2+e1^2*e2*e5*e10*e25*e50^2+5*e1*e2*e5*e10*e25^2*e50^2+20*e2*e5*e10*e25^3*e50^2-4*e1^3*e5*e10*e50^3-20*e2*e10^4*e50^3-5*e1^2*e5*e10*e25*e50^3-5*e1*e5*e10*e25^2*e50^3+5*e5*e10*e25^3*e50^3-4*e10^4*e50^4;
g57:=e1^2*e5*e10*e25^4-e1^2*e10^4*e25*e50+e1*e10^4*e25^2*e50-e2^3*e5^2*e25*e50^2+e1*e2^2*e5^2*e50^3-e2^2*e5^2*e25*e50^3+3*e1*e2*e5^2*e50^4;
g58:=e1*e2*e5*e10*e25^4+2*e2*e10^4*e25^2*e50-2*e1^2*e5*e10*e25^3*e50-e2^4*e5^2*e50^2+e1^2*e10^4*e50^2-4*e2^3*e5^2*e50^3-8*e2^2*e5^2*e50^4-10*e2*e5^2*e50^5;
g59:=e1^2*e10^2*e25^4-e1^2*e5^4*e50^2-4*e1*e5^4*e25*e50^2+4*e2^3*e5*e10*e25*e50^2-4*e1*e2^2*e5*e10*e50^3+4*e2^2*e5*e10*e25*e50^3-12*e1*e2*e5*e10*e50^4-20*e1*e5*e10*e50^5;
g60:=e1*e2*e10^2*e25^4-2*e1^2*e10^2*e25^3*e50-e1*e2*e5^4*e50^2+2*e2*e5^4*e25*e50^2-4*e2^3*e5*e10*e50^3-8*e2^2*e5*e10*e50^4;
g61:=e2^2*e10^2*e25^4-e1^2*e2*e10^2*e25^2*e50-3*e1*e2*e10^2*e25^3*e50+e1^3*e10^2*e25*e50^2+e1^2*e10^2*e25^2*e50^2-e2*e5^4*e50^3;
g62:=e1^2*e10*e25^5-e1*e2^3*e5*e25*e50^2+e2^3*e5*e25^2*e50^2-3*e1*e2^2*e5*e25*e50^3+e1^2*e2*e5*e50^4-5*e1*e2*e5*e25*e50^4+e1^2*e5*e50^5;
g63:=e1*e2*e10*e25^5+e1^2*e10*e25^4*e50+e1*e10*e25^5*e50-e2^4*e5*e25*e50^2-e2^3*e5*e25*e50^3+e1*e2^2*e5*e50^4-e2^2*e5*e25*e50^4-e1*e2*e5*e50^5+e1*e5*e50^6;
g64:=e2^2*e10*e25^5-4*e1*e2*e10*e25^4*e50+2*e2*e10*e25^5*e50-e1^4*e10*e25*e50^2-2*e1^2*e10*e25^3*e50^2-4*e2^3*e5*e50^4-12*e2^2*e5*e50^5-8*e2*e5*e50^6;
g65:=e1*e10*e25^6-e2^3*e5*e25^2*e50^2+e1*e2^2*e5*e25*e50^3-e2^2*e5*e25^2*e50^3+3*e1*e2*e5*e25*e50^4-e1^2*e5*e50^5+e1*e5*e25*e50^5;
g66:=e2*e10*e25^6-e1^2*e10*e25^4*e50-2*e2^3*e5*e25*e50^3-4*e2^2*e5*e25*e50^4+2*e1*e2*e5*e50^5-4*e2*e5*e25*e50^5;
g67:=e2^5*e5^2-e1^5*e5*e10-5*e1^2*e2*e10^4;
g68:=5*e1*e2^2*e5^4-4*e2^5*e5*e10-e1^5*e10^2;
g69:=e1*e2*e5^5-e2^4*e5^2*e10+e1^2*e10^5;
g70:=e2^2*e5^5-e1^4*e5*e10^2-4*e1*e2*e10^5;
g71:=e1*e5^5*e10-e1*e2^5*e25-5*e1*e2^4*e25*e50-5*e2^4*e25^2*e50+5*e1^2*e2^3*e50^2-5*e1*e2^3*e25*e50^2+15*e1^2*e2^2*e50^3+25*e1^2*e2*e50^4+25*e1^2*e50^5;
g72:=4*e2*e5*e10^5-5*e1^3*e2^2*e25^2-15*e1^2*e2^2*e25^3-25*e2^2*e25^5+e1^5*e2*e50-20*e5*e10^5*e50+5*e1^4*e2*e25*e50+5*e1^3*e2*e25^2*e50+25*e1^2*e2*e25^3*e50+125*e1*e2*e25^4*e50+125*e2*e25^5*e50-5*e1^5*e50^2-20*e1^4*e25*e50^2-75*e1^3*e25^2*e50^2-125*e1^2*e25^3*e50^2;
g73:=e2^5*e5*e25-e1^5*e10*e25-5*e1^4*e10*e25^2+25*e1^2*e10*e25^4+25*e1*e10*e25^5-10*e2^4*e5*e25*e50-5*e1*e2^3*e5*e50^2-25*e2^2*e5*e25*e50^3-50*e1*e2*e5*e50^4+25*e1*e5*e50^5;
g74:=e2^2*e5^4*e25-e1^4*e10^2*e25-10*e1^2*e10^2*e25^3-4*e1*e2*e5^4*e50+10*e2*e5^4*e25*e50-20*e2^3*e5*e10*e50^2-40*e2^2*e5*e10*e50^3;
g75:=e5^5*e10*e25-e2^5*e25^2-5*e2^4*e25^2*e50-15*e2^3*e25^2*e50^2+5*e1*e2^2*e25*e50^3-25*e2^2*e25^2*e50^3+5*e1^2*e2*e50^4+25*e1*e2*e25*e50^4+25*e1*e25*e50^5;
g76:=2*e1*e2*e10^4*e25+5*e2*e10^4*e25^2-5*e1^2*e5*e10*e25^3-2*e2^4*e5^2*e50+2*e1^2*e10^4*e50-10*e2^3*e5^2*e50^2-20*e2^2*e5^2*e50^3-25*e2*e5^2*e50^4;
g77:=5*e1^3*e2*e10*e25^2+50*e1*e2*e10*e25^4-25*e2*e10*e25^5-4*e2^5*e5*e50-e1^5*e10*e50+10*e1^4*e10*e25*e50+25*e1^2*e10*e25^3*e50-20*e2^4*e5*e50^2+100*e2^2*e5*e50^4+100*e2*e5*e50^5;
g78:=e2^4*e10*e25^2-e1^3*e5^3*e50-3*e1*e2^3*e10*e25*e50+5*e2^3*e10*e25^2*e50-4*e1^2*e2^2*e10*e50^2-15*e1*e2^2*e10*e25*e50^2-5*e1^2*e2*e10*e50^3-25*e1*e2*e10*e25*e50^3;
g79:=e1^3*e5*e10*e25^2+2*e2*e10^4*e25^2-e2^4*e5^2*e50+e1^2*e10^4*e50+2*e1*e10^4*e25*e50-4*e2^3*e5^2*e50^2-10*e2^2*e5^2*e50^3-10*e2*e5^2*e50^4;
g80:=2*e1^3*e10^2*e25^2+5*e1*e10^2*e25^4-2*e1*e2*e5^4*e50+4*e2*e5^4*e25*e50-e1*e5^4*e50^2-8*e2^3*e5*e10*e50^2-20*e2^2*e5*e10*e50^3;
g81:=e10^5*e25^2-e5^5*e25*e50-5*e5^2*e10*e50^4;
g82:=e1^3*e10*e25^3+3*e1^2*e10*e25^4+3*e1*e10*e25^5-e2^4*e5*e25*e50-e2^3*e5*e25*e50^2+e1*e2^2*e5*e50^3-3*e2^2*e5*e25*e50^3-e1*e2*e5*e50^4+3*e1*e5*e50^5;
g83:=e1^2*e2*e10*e25^3-e1*e2*e10*e25^4+3*e2*e10*e25^5-e1^4*e10*e25*e50-e1^3*e10*e25^2*e50-3*e1^2*e10*e25^3*e50-4*e2^3*e5*e50^3-12*e2^2*e5*e50^4-12*e2*e5*e50^5;
g84:=5*e1*e2^2*e25^4-4*e5*e10^5*e50+5*e1^2*e2*e25^3*e50+25*e1*e2*e25^4*e50+25*e2*e25^5*e50-e1^5*e50^2-5*e1^4*e25*e50^2-15*e1^3*e25^2*e50^2-25*e1^2*e25^3*e50^2;
g85:=5*e5*e10^2*e25^4-4*e10^5*e25*e50-e5^5*e50^2;
g86:=e5*e10*e25^5-e10^4*e25^2*e50+e5^2*e50^5;
g87:=e10^2*e25^5-e5^4*e25*e50^2-4*e5*e10*e50^5;
g88:=e5^6-e1^5*e25-5*e1^4*e25^2-15*e1^3*e25^3-25*e1^2*e25^4-25*e1*e25^5;
g89:=e10^6-e2^5*e50-5*e2^4*e50^2-15*e2^3*e50^3-25*e2^2*e50^4-25*e2*e50^5;
g90:=e1^2*e5^3*e25-e1*e2^3*e10*e25+e2^3*e10*e25^2-3*e1*e2^2*e10*e25*e50+e1^2*e2*e10*e50^2-5*e1*e2*e10*e25*e50^2+5*e1^2*e10*e50^3;
g91:=e1*e2*e5^3*e25-e2^4*e10*e25+e1^2*e5^3*e50+5*e1*e5^3*e25*e50-5*e2^3*e10*e25*e50+5*e1*e2^2*e10*e50^2-5*e2^2*e10*e25*e50^2+15*e1*e2*e10*e50^3+25*e1*e10*e50^4;
g92:=2*e2^2*e10^3*e25+5*e1*e2*e5*e25^3-2*e1^4*e5*e50-8*e1*e2*e10^3*e50-5*e1^3*e5*e25*e50-10*e1^2*e5*e25^2*e50-10*e1*e10^3*e50^2;
g93:=e1^2*e2*e5*e25^2+5*e1*e2*e5*e25^3+5*e2*e5*e25^4-e1^4*e5*e50-4*e1*e2*e10^3*e50-3*e1^3*e5*e25*e50-4*e2*e10^3*e25*e50-5*e1^2*e5*e25^2*e50-4*e1*e10^3*e50^2;
g94:=e1*e2^2*e5*e25^2-e1^3*e2*e5*e50-4*e2^2*e10^3*e50+2*e1^2*e2*e5*e25*e50+10*e1*e2*e5*e25^2*e50+25*e2*e5*e25^3*e50-4*e1^3*e5*e50^2-20*e2*e10^3*e50^2-5*e1^2*e5*e25*e50^2;
g95:=e1*e5^3*e25^2-e2^3*e10*e25^2+e1*e2^2*e10*e25*e50-e2^2*e10*e25^2*e50+3*e1*e2*e10*e25*e50^2-e1^2*e10*e50^3+5*e1*e10*e25*e50^3;
g96:=e2*e5^3*e25^2-e1^2*e5^3*e50-4*e1*e5^3*e25*e50+2*e2^3*e10*e25*e50-4*e1*e2^2*e10*e50^2-10*e1*e2*e10*e50^3-20*e1*e10*e50^4;
g97:=e2^3*e25^3-e1^2*e2^2*e25*e50-2*e1*e2^2*e25^2*e50-2*e1^2*e2*e25*e50^2-5*e1*e2*e25^2*e50^2+e1^3*e50^3;
g98:=e2^2*e5*e25^3-e1^2*e2*e5*e25*e50-3*e1*e2*e5*e25^2*e50-5*e2*e5*e25^3*e50+e1^3*e5*e50^2+4*e2*e10^3*e50^2+e1^2*e5*e25*e50^2;
g99:=e5^2*e10^2-e1*e2^2*e25-e1^2*e2*e50-5*e1*e2*e25*e50-5*e2*e25^2*e50-5*e1*e25*e50^2;
-- Somos eta relations --
x50_4_30:=-e5^2*e10^2+e1*e2^2*e25+e1^2*e2*e50+5*e1*e2*e25*e50+5*e2*e25^2*e50+5*e1*e25*e50^2;
x50_6_81:=e2^3*e25^3-e1^2*e2^2*e25*e50-2*e1*e2^2*e25^2*e50-2*e1^2*e2*e25*e50^2-5*e1*e2*e25^2*e50^2+e1^3*e50^3;
q50_7_68:=e1*e2*e5^3*e25^2-e2^4*e10*e25^2+e1^2*e5^3*e25*e50+5*e1^2*e10*e50^4;
q50_7_109:=-5*e2^2*e5*e25^4+4*e2^2*e10^3*e25*e50+e1^4*e5*e50^2+4*e1*e2*e10^3*e50^2;
q50_8_74:=-e2^2*e5^4*e25^2+e1^4*e10^2*e25^2+4*e1*e2*e5^4*e25*e50+20*e1*e2*e5*e10*e50^4;
x50_8_84:=e1*e2^4*e25^3-e1^3*e2^3*e25*e50-2*e1*e2*e5^2*e10^2*e25*e50+5*e2^3*e25^4*e50+e1^4*e2*e50^3-25*e1*e2*e25^3*e50^3+5*e1^3*e25*e50^4;
q50_8_93:=e1*e2*e10^4*e25^2-e2^4*e5^2*e25*e50+e1^2*e10^4*e25*e50-5*e1*e2*e5^2*e50^4;
q50_8_94:=-e2^2*e10^4*e25^2+e1^4*e5*e10*e25*e50+4*e1*e2*e10^4*e25*e50+5*e2^2*e5^2*e50^4;
q50_8_98:=-5*e1^2*e10^2*e25^4-4*e1*e2*e5^4*e25*e50+4*e2^4*e5*e10*e25*e50+e1^2*e5^4*e50^2;
q50_8_99:=-5*e1*e2*e10^2*e25^4+e2^2*e5^4*e25*e50-e1^4*e10^2*e25*e50+e1*e2*e5^4*e50^2;
q50_8_118:=5*e1*e2*e5*e10*e25^4-4*e1*e2*e10^4*e25*e50-e2^4*e5^2*e50^2+e1^2*e10^4*e50^2;
-- Relation relations --
relationRelations := [_
x50_4_30+g99,_
x50_6_81-1*g97,_
q50_7_68-e25*g91+5*e50*g95,_
q50_7_109-2*e50*g92+5*e50*g93+5*e25*g98,_
q50_8_74+10*g59+e25*g74-10*e5*e50*g96,_
x50_8_84+(-e1*e2-5*e25*e50)*g97+2*e1*e2*e25*e50*g99,_
2*q50_8_93+5*g55-5*g57-e25*g76,_
2*q50_8_94-5*g58+5*e50*g79+e10*e25*g92,_
q50_8_98+5*g59+4*e5*e50*g91,_
q50_8_99+5*g60-e50*g74,_
q50_8_118-5*g58+2*e50*g76];