-- eta relations --
g1:=e1^8*e2^8-e1^12*e3^4-16*e2^12*e6^4+12*e1^7*e2^7*e9*e18+126*e1^8*e2^5*e18^3-2016*e2^9*e6^4*e18^3+2592*e1^7*e2^4*e9*e18^4+15741*e1^8*e2^2*e18^6-299376*e2^6*e6^4*e18^6+379080*e1^7*e2*e9*e18^7+118098*e3^5*e6^3*e9*e18^7+2768742*e1^4*e2*e9^4*e18^7+11514555*e1*e2*e9^7*e18^7-586116*e1^6*e9^2*e18^8-3483891*e1^3*e9^5*e18^8-7138368*e2^3*e6^4*e18^9;
g2:=e1^8*e2^4*e6^4-16*e2^8*e6^8-e1^13*e9^3+54*e1^7*e9^9+243*e1^4*e9^12+11*e1^7*e2^3*e6^4*e9*e18+72*e1^8*e2*e6^4*e18^3-1392*e2^5*e6^8*e18^3+1692*e1^7*e6^4*e9*e18^4+10467*e1^5*e2*e3*e6^3*e18^6+52056*e2^2*e6^8*e18^6-29808*e1^4*e3*e6^3*e9*e18^7-116883*e2^2*e3^2*e6^2*e9^2*e18^8-50058*e1^2*e2*e3^2*e6^2*e18^9-729*e1*e3^2*e6^2*e9*e18^10;
g3:=e1^10*e3^4*e9^2-e1^8*e2^7*e18+16*e2^11*e6^4*e18-14*e1^7*e2^6*e9*e18^2-120*e1^8*e2^4*e18^4+2208*e2^8*e6^4*e18^4-2790*e1^7*e2^3*e9*e18^5-17055*e1^8*e2*e18^7-144342*e1*e3^5*e6^3*e18^7+325296*e2^5*e6^4*e18^7-268515*e1^5*e2*e9^3*e18^7-997272*e1^2*e2*e9^6*e18^7+729*e1^7*e9*e18^8-100602*e1^4*e9^4*e18^8;
g4:=3*e3^4*e9^12-3*e1^8*e2^2*e18^6+48*e2^6*e6^4*e18^6-72*e1^7*e2*e9*e18^7-22*e3^5*e6^3*e9*e18^7-540*e1^4*e2*e9^4*e18^7-2205*e1*e2*e9^7*e18^7+112*e1^6*e9^2*e18^8+657*e1^3*e9^5*e18^8-27*e9^8*e18^8+1344*e2^3*e6^4*e18^9+48*e6^4*e18^12;
g5:=e1^9*e3^5-e1^8*e2^5*e6+16*e2^9*e6^5-15*e1^7*e2^4*e6*e9*e18-117*e1^8*e2^2*e6*e18^3+2304*e2^6*e6^5*e18^3-2889*e1^7*e2*e6*e9*e18^4-17712*e1^5*e2^2*e3*e18^6-86832*e2^3*e6^5*e18^6+41796*e1^2*e2^2*e3*e9^3*e18^6+7776*e1^4*e2*e3*e9*e18^7+293058*e1*e2*e3*e9^4*e18^7-97686*e1^3*e3*e9^2*e18^8;
g6:=e1^8*e2*e6^5-16*e2^5*e6^9-e1^10*e3*e9^3-9*e1^7*e3*e9^6-27*e1^4*e3*e9^9+23*e1^7*e6^5*e9*e18+141*e1^5*e2*e3*e6^4*e18^3+696*e2^2*e6^9*e18^3-414*e1^4*e3*e6^4*e9*e18^4-1539*e2^2*e3^2*e6^3*e9^2*e18^5-738*e1^2*e2*e3^2*e6^3*e18^6-81*e1*e3^2*e6^3*e9*e18^7;
g7:=e1^7*e2*e3*e6^5+8*e1^2*e2^2*e6^10-e1^9*e3^2*e9^3-9*e1^6*e3^2*e9^6-27*e1^3*e3^2*e9^9-e1^6*e3*e6^5*e9*e18-2*e1*e2^4*e3^3*e6^3*e18^3-e1^4*e2*e3^2*e6^4*e18^3+27*e3^2*e6^4*e9^4*e18^4-18*e1*e2*e3^3*e6^3*e18^6-54*e3^3*e6^3*e9*e18^7;
g8:=e1^8*e6^6-16*e2^4*e6^10-e1^9*e2*e3^2*e9*e18+486*e2*e3^2*e9^10*e18+15*e1^8*e3^2*e9^2*e18^2+27*e1^5*e3^2*e9^5*e18^2-162*e1^2*e3^2*e9^8*e18^2+99*e1^5*e3*e6^5*e18^3+792*e2*e6^10*e18^3-855*e1*e2^2*e3^2*e6^4*e9*e18^4-2646*e2*e3^2*e6^4*e9^2*e18^5+837*e1^2*e3^2*e6^4*e18^6;
g9:=e1^7*e2*e6^5*e9-e1^9*e3*e9^4-9*e1^6*e3*e9^7-27*e1^3*e3*e9^10+7*e1^5*e2^2*e3*e6^4*e18^2+40*e2^3*e6^9*e18^2-18*e1^4*e2*e3*e6^4*e9*e18^3-243*e3*e6^4*e9^5*e18^4-120*e1^2*e2^2*e3^2*e6^3*e18^5+360*e6^9*e18^5-288*e1*e2*e3^2*e6^3*e9*e18^6-324*e3^2*e6^3*e9^2*e18^7;
g10:=3*e1^9*e9^5+27*e1^6*e9^8+81*e1^3*e9^11-2*e1^3*e2^6*e3*e6^3*e18-e1^6*e2^3*e6^4*e18-12*e1^5*e2^2*e6^4*e9*e18^2-54*e1^3*e2^3*e3*e6^3*e18^4-12*e1^6*e6^4*e18^4-90*e1^2*e2^2*e3*e6^3*e9*e18^5-18*e2^3*e3^2*e6^2*e18^7-9*e1^3*e3*e6^3*e18^7+81*e3*e6^3*e9^3*e18^7-162*e3^2*e6^2*e18^10;
g11:=2*e1^4*e2^4*e3*e6^4+e1^7*e2*e6^5-3*e1^9*e3*e9^3-27*e1^6*e3*e9^6-81*e1^3*e3*e9^9+15*e1^6*e6^5*e9*e18+30*e1*e2^4*e3^2*e6^3*e18^3+51*e1^4*e2*e3*e6^4*e18^3+81*e3*e6^4*e9^4*e18^4-54*e1*e2*e3^2*e6^3*e18^6-162*e3^2*e6^3*e9*e18^7;
g12:=e1^5*e2^2*e3*e6^5+8*e2^3*e6^10-e1^9*e3^2*e9*e18-3*e1^4*e2*e3*e6^5*e9*e18-9*e1^6*e3^2*e9^4*e18-27*e1^3*e3^2*e9^7*e18-108*e3*e6^5*e9^5*e18^2-15*e1^2*e2^2*e3^2*e6^4*e18^3+108*e6^10*e18^3-36*e1*e2*e3^2*e6^4*e9*e18^4-27*e3^2*e6^4*e9^2*e18^5;
g13:=3*e1^4*e2^4*e6^4*e9-3*e1^9*e9^4-27*e1^6*e9^7-81*e1^3*e9^10+10*e1^2*e2^5*e3*e6^3*e18^2+2*e1^5*e2^2*e6^4*e18^2+36*e1^4*e2*e6^4*e9*e18^3+81*e6^4*e9^5*e18^4+90*e1^2*e2^2*e3*e6^3*e18^5-54*e1*e2*e3*e6^3*e9*e18^6-162*e3*e6^3*e9^2*e18^7;
g14:=2*e1*e2^7*e3*e6^3+e1^4*e2^4*e6^4-3*e1^9*e9^3-27*e1^6*e9^6-81*e1^3*e9^9+6*e1^3*e2^3*e6^4*e9*e18+30*e1*e2^4*e3*e6^3*e18^3+6*e1^4*e2*e6^4*e18^3+81*e6^4*e9^4*e18^4-54*e1*e2*e3*e6^3*e18^6-162*e3*e6^3*e9*e18^7;
g15:=2*e1^3*e2^2*e3^2*e6^5-8*e1*e6^11+9*e1^2*e2*e3^3*e9^6-2*e1^7*e3^3*e9*e18-9*e1^4*e3^3*e9^4*e18-18*e1*e3^2*e6^5*e9^2*e18^2+24*e2^2*e3^3*e6^4*e18^3;
g16:=2*e1^5*e3*e6^6+16*e2*e6^11-2*e1^6*e2*e3^3*e9*e18-6*e1*e2^2*e3^2*e6^5*e9*e18+81*e2*e3^3*e9^7*e18-12*e1^5*e3^3*e9^2*e18^2-108*e2*e3^2*e6^5*e9^2*e18^2-27*e1^2*e3^3*e9^5*e18^2-6*e1^2*e3^2*e6^5*e18^3;
g17:=2*e1^2*e2^2*e3^2*e6^6-2*e1^6*e3^3*e6*e9*e18+3*e1^2*e2^2*e3^4*e9^2*e18^2+18*e3^2*e6^6*e9^2*e18^2-8*e2^9*e18^3-3*e1^4*e2*e3^4*e18^3+9*e1*e2*e3^4*e9^3*e18^3-9*e1^3*e3^4*e9*e18^4-72*e2^6*e18^6-216*e2^3*e18^9;
g18:=4*e3^3*e6^9-54*e3^5*e6^3*e9^2*e18^2+81*e1*e2*e9^8*e18^2-4*e1^9*e18^3+72*e1*e2^4*e6^4*e18^3-54*e1^6*e9^3*e18^3-189*e1^3*e9^6*e18^3-36*e2^3*e6^4*e9*e18^4+324*e1*e2*e6^4*e18^6;
g19:=4*e3^2*e6^10-3*e1^4*e2^4*e9^2*e18^2-e1^6*e2^3*e18^3-18*e1^5*e2^2*e9*e18^4-54*e1^2*e2^2*e9^4*e18^4-54*e1^4*e2*e9^2*e18^5-81*e1*e2*e9^5*e18^5+18*e1^6*e18^6+27*e1^3*e9^3*e18^6;
g20:=2*e3*e6^11-3*e1*e2^7*e9^2*e18^2+e1^3*e2^6*e18^3-27*e1*e2^4*e9^2*e18^5+9*e1^3*e2^3*e18^6-81*e1*e2*e9^2*e18^8+27*e1^3*e18^9;
g21:=e6^12-e2^9*e18^3-9*e2^6*e18^6-27*e2^3*e18^9;
g22:=243*e2*e9^11-4*e2^7*e3*e6^3*e18-2*e1^3*e2^4*e6^4*e18+6*e1^8*e9^3*e18-81*e1^2*e9^9*e18+42*e1^2*e2^3*e6^4*e9*e18^2-132*e2^4*e3*e6^3*e18^4-102*e1^3*e2*e6^4*e18^4-270*e1^2*e6^4*e9*e18^5-864*e2*e3*e6^3*e18^7;
g23:=e1^3*e3^2*e6^6-e1^4*e2*e3^4*e9*e18+3*e1^3*e3^4*e9^2*e18^2-4*e1*e2^7*e18^3-3*e3^3*e6^5*e18^3+9*e2^6*e9*e18^4-27*e1*e2^4*e18^6+54*e2^3*e9*e18^7-108*e1*e2*e18^9;
g24:=e3^2*e6^6*e9^3-e1^3*e3^4*e9^2*e18^2-e3^3*e6^5*e18^3-2*e2^6*e9*e18^4-9*e2^3*e9*e18^7+9*e1*e2*e18^9;
g25:=12*e6^6*e9^5+2*e3^7*e6^3*e18+9*e1*e2*e3^2*e9^6*e18-2*e1^6*e3^2*e9*e18^2-24*e1*e2*e3*e6^5*e9*e18^2-9*e1^3*e3^2*e9^4*e18^2-24*e3*e6^5*e9^2*e18^3;
g26:=e1^3*e2*e9^7+9*e2*e9^10-e1^5*e9^5*e18-3*e1^2*e9^8*e18-8*e1*e2^2*e6^4*e9*e18^3-16*e2*e6^4*e9^2*e18^4+8*e1^2*e6^4*e18^5;
g27:=9*e1^2*e2*e9^8+2*e2^2*e3^6*e6^2*e18-2*e1^7*e9^3*e18-9*e1^4*e9^6*e18-14*e1*e2^3*e6^4*e9*e18^2-6*e2^2*e6^4*e9^2*e18^3+6*e1^2*e2*e6^4*e18^4+18*e1*e6^4*e9*e18^5;
g28:=27*e1*e2*e3*e9^8+4*e1*e2^4*e3*e6^4*e18+2*e1^4*e2*e6^5*e18-6*e1^6*e3*e9^3*e18-27*e1^3*e3*e9^6*e18-24*e1^3*e6^5*e9*e18^2-18*e6^5*e9^4*e18^2-36*e1*e2*e3*e6^4*e18^4+36*e3*e6^4*e9*e18^5;
g29:=9*e1*e2*e9^9+2*e1*e2^4*e6^4*e9*e18-2*e1^6*e9^4*e18-9*e1^3*e9^7*e18-10*e2^3*e6^4*e9^2*e18^2+2*e3^6*e6^2*e18^3-2*e1^2*e2^2*e6^4*e18^3+6*e1*e2*e6^4*e9*e18^4;
g30:=4*e1^2*e3^5*e6^3+9*e1^3*e2*e9^6-81*e2*e9^9-4*e1^8*e9*e18-24*e2^4*e6^4*e9*e18-9*e1^5*e9^4*e18+27*e1^2*e9^7*e18+120*e1*e2^2*e6^4*e18^3+144*e2*e6^4*e9*e18^4;
g31:=4*e2^5*e3*e6^4+2*e1^3*e2^2*e6^5+27*e1^2*e2*e3*e9^6-6*e1^7*e3*e9*e18-36*e1^2*e2*e6^5*e9*e18-27*e1^4*e3*e9^4*e18-54*e1*e6^5*e9^2*e18^2+36*e2^2*e3*e6^4*e18^3;
g32:=2*e2^2*e3^3*e6^5-e2^8*e9*e18-e1^4*e3^4*e9*e18-9*e1*e3^4*e9^4*e18+5*e1*e2^6*e18^3-6*e2^5*e9*e18^4+36*e1*e2^3*e18^6-27*e2^2*e9*e18^7+81*e1*e18^9;
g33:=2*e2*e3^3*e6^6-2*e2^7*e6*e9*e18-9*e2*e3^5*e9^2*e18^2+3*e1^2*e3^5*e18^3+6*e1*e2^5*e6*e18^3+36*e1*e2^2*e6*e18^6;
g34:=e1*e2^8*e9-e1^5*e3^4*e9-3*e2^7*e9^2*e18-e1^2*e2^6*e18^2+12*e1*e2^5*e9*e18^3-27*e2^4*e9^2*e18^4+9*e1^2*e2^3*e18^5+81*e1*e2^2*e9*e18^6;
g35:=e2^9*e9-e1^4*e2*e3^4*e9-3*e1^3*e3^4*e9^2*e18-e1*e2^7*e18^2-6*e3^3*e6^5*e18^2+6*e2^6*e9*e18^3+27*e2^3*e9*e18^6+27*e1*e2*e18^8;
g36:=e2^8*e6*e9-e1^4*e3^4*e6*e9-3*e1^2*e2*e3^5*e18^2-e1*e2^6*e6*e18^2+3*e2^5*e6*e9*e18^3-9*e1*e2^3*e6*e18^5;
g37:=4*e2^5*e6^4*e9-3*e1^5*e2*e9^4-9*e1^2*e2*e9^7-e1^7*e9^2*e18-9*e1^4*e9^5*e18-4*e1*e2^3*e6^4*e18^2-12*e2^2*e6^4*e9*e18^3+36*e1*e6^4*e18^5;
g38:=2*e1^2*e2^2*e6^5*e9+9*e1*e2*e3*e9^7-2*e1^6*e3*e9^2*e18-9*e1^3*e3*e9^5*e18-4*e2^3*e3*e6^4*e18^2-4*e1^3*e6^5*e18^2-6*e6^5*e9^3*e18^2+12*e3*e6^4*e18^5;
g39:=e1^7*e2*e9^2-12*e3^5*e6^3*e9^2-27*e1*e2*e9^8-e1^9*e18+16*e1*e2^4*e6^4*e18-6*e1^6*e9^3*e18-27*e1^3*e9^6*e18+48*e2^3*e6^4*e9*e18^2;
g40:=e1^6*e2^2*e9^2-e1^8*e2*e18-6*e1*e3^5*e6^3*e18+16*e2^5*e6^4*e18-12*e1^5*e2*e9^3*e18-54*e1^2*e2*e9^6*e18;
g41:=e2^8*e9^2-e1^4*e3^4*e9^2-4*e1*e2^6*e9*e18^2+3*e2^5*e9^2*e18^3+3*e1^2*e2^4*e18^4-18*e1*e2^3*e9*e18^5+27*e1^2*e2*e18^7;
g42:=e1^6*e2*e9^3+9*e1^3*e2*e9^6-e1^8*e9*e18-8*e2^4*e6^4*e9*e18-3*e1^5*e9^4*e18+24*e1*e2^2*e6^4*e18^3;
g43:=e1^5*e2^2*e9^3-e1^7*e2*e9*e18+2*e3^5*e6^3*e9*e18-6*e1^4*e2*e9^4*e18-36*e1*e2*e9^7*e18+2*e1^6*e9^2*e18^2+18*e1^3*e9^5*e18^2+16*e2^3*e6^4*e18^3;
g44:=e1^3*e3^4*e9^3-e1*e2^7*e9*e18+e2^6*e9^2*e18^2+e1^2*e2^5*e18^3-6*e1*e2^4*e9*e18^4+9*e2^3*e9^2*e18^5+3*e1^2*e2^2*e18^6-27*e1*e2*e9*e18^7;
g45:=3*e1^2*e2*e3^4*e9^3-2*e2^8*e9*e18-e1^4*e3^4*e9*e18+2*e1*e2^6*e18^3-6*e2^5*e9*e18^4+18*e1*e2^3*e18^6;
g46:=6*e1^4*e2^2*e9^4-5*e1^6*e2*e9^2*e18-18*e1^3*e2*e9^5*e18-81*e2*e9^8*e18-e1^8*e18^2+16*e2^4*e6^4*e18^2-12*e1^5*e9^3*e18^2+27*e1^2*e9^6*e18^2+144*e2*e6^4*e18^5;
g47:=e1^2*e3^4*e9^4-e2^7*e9^2*e18+2*e1*e2^5*e9*e18^3-3*e2^4*e9^2*e18^4-e1^2*e2^3*e18^5+12*e1*e2^2*e9*e18^6-9*e1^2*e18^8;
g48:=e1*e2*e3^4*e9^4-e1^3*e3^4*e9^2*e18-2*e2^6*e9*e18^3+2*e1*e2^4*e18^5-6*e2^3*e9*e18^6+18*e1*e2*e18^8;
g49:=e1^4*e2*e9^5+9*e1*e2*e9^8-e1^6*e9^3*e18-3*e1^3*e9^6*e18-8*e2^3*e6^4*e9*e18^2+8*e1*e2*e6^4*e18^4;
g50:=e1*e3^4*e9^5-e1*e2^6*e9*e18^2-e2^5*e9^2*e18^3+e1^2*e2^4*e18^4-4*e1*e2^3*e9*e18^5+3*e2^2*e9^2*e18^6+3*e1^2*e2*e18^7-9*e1*e9*e18^8;
g51:=9*e2*e3^4*e9^5-4*e2*e3^3*e6^5*e18-3*e1^2*e3^4*e9^3*e18-2*e2^7*e9*e18^2-6*e1*e2^5*e18^4-18*e2^4*e9*e18^5-18*e1*e2^2*e18^7;
g52:=3*e3^4*e6*e9^5-2*e3^3*e6^6*e18-e2^6*e6*e9*e18^2+3*e3^5*e9^2*e18^3-3*e1*e2^4*e6*e18^4-9*e2^3*e6*e9*e18^5-9*e1*e2*e6*e18^7;
g53:=18*e1*e2^2*e9^7-e1^6*e2*e9^2*e18-6*e1^3*e2*e9^5*e18+27*e2*e9^8*e18+e1^8*e18^2-16*e2^4*e6^4*e18^2+6*e1^5*e9^3*e18^2-9*e1^2*e9^6*e18^2-48*e2*e6^4*e18^5;
g54:=27*e2^2*e9^8+2*e1*e3^5*e6^3*e18-6*e1^5*e2*e9^3*e18-45*e1^2*e2*e9^6*e18+4*e1^7*e9*e18^2+18*e1^4*e9^4*e18^2-48*e2^2*e6^4*e18^4;
g55:=e1^5*e2^3*e3-e1^8*e6+24*e2^4*e6^5-27*e1^4*e2^2*e3*e9*e18-81*e1*e2^2*e3*e9^4*e18+243*e2*e3*e9^5*e18^2-9*e1^5*e3*e18^3-216*e2*e6^5*e18^3-81*e1^2*e3*e9^3*e18^3;
g56:=2*e2^8*e3-3*e1^4*e3^5+e1^3*e2^5*e6-9*e1^2*e2^4*e6*e9*e18+18*e2^5*e3*e18^3-9*e1^3*e2^2*e6*e18^3-81*e1^2*e2*e6*e9*e18^4;
g57:=e2^3*e3^6-e1^3*e3^5*e6-3*e1*e2^4*e6^2*e9*e18+9*e2^3*e6^2*e9^2*e18^2-9*e1^2*e2^2*e6^2*e18^3-27*e1*e2*e6^2*e9*e18^4;
g58:=2*e2*e3^5*e6^3-3*e1^4*e2^2*e9^3-9*e1*e2^2*e9^6+e1^6*e2*e9*e18+3*e1^5*e9^2*e18^2;
g59:=4*e2^3*e3*e6^5+2*e1^3*e6^6+18*e6^6*e9^3-6*e1^4*e2*e3^2*e9*e18-27*e1*e2*e3^2*e9^4*e18-9*e1^3*e3^2*e9^2*e18^2-36*e3*e6^5*e18^3;
g60:=e1*e3^3*e6^5-e1*e2^6*e9*e18-3*e2^5*e9^2*e18^2+3*e1^2*e2^4*e18^3+9*e1^2*e2*e18^6;
g61:=4*e2^3*e6^5*e9-3*e1^2*e2^2*e3*e9^4-e1^6*e3*e18^2-12*e1*e2*e6^5*e18^2;
g62:=e3^3*e6^5*e9-e2^6*e9^2*e18-9*e2^3*e9^2*e18^4+3*e1^2*e2^2*e18^5+9*e1*e2*e9*e18^6;
g63:=e1^6*e6*e9^2-e1^5*e2^2*e3*e18-8*e2^3*e6^5*e18+6*e1^2*e2^2*e3*e9^3*e18+3*e1^4*e2*e3*e9*e18^2+27*e1*e2*e3*e9^4*e18^2-9*e1^3*e3*e9^2*e18^3;
g64:=e2^6*e6*e9^2-e1^3*e3^5*e18-3*e1*e2^4*e6*e9*e18^2+9*e2^3*e6*e9^2*e18^3-6*e1^2*e2^2*e6*e18^4-27*e1*e2*e6*e9*e18^5;
g65:=e1^2*e2^2*e3^2*e9^3+4*e6^6*e9^3-e1^4*e2*e3^2*e9*e18-3*e1*e2*e3^2*e9^4*e18-3*e1^3*e3^2*e9^2*e18^2-8*e3*e6^5*e18^3;
g66:=e2*e3^5*e9^3-e1*e2^5*e6*e9*e18-2*e2^4*e6*e9^2*e18^2+e1^2*e2^3*e6*e18^3-3*e1*e2^2*e6*e9*e18^4+3*e1^2*e6*e18^6;
g67:=e3^5*e6*e9^3-e1*e2^4*e6^2*e9*e18-3*e2^3*e6^2*e9^2*e18^2+e3^6*e18^3+e1^2*e2^2*e6^2*e18^3-3*e1*e2*e6^2*e9*e18^4;
g68:=3*e3^5*e9^4-2*e2^6*e3*e18^2-e1^3*e2^3*e6*e18^2-3*e1^2*e2^2*e6*e9*e18^3-18*e2^3*e3*e18^5-3*e1^3*e6*e18^5+9*e6*e9^3*e18^5-18*e3*e18^8;
g69:=3*e1^2*e2^2*e9^5-2*e3^5*e6^3*e18+9*e1*e2*e9^6*e18-e1^6*e9*e18^2-9*e1^3*e9^4*e18^2;
g70:=3*e2^2*e3*e9^6-4*e2^2*e6^5*e9*e18+e1^4*e3*e9^2*e18^2+4*e1*e6^5*e18^3;
g71:=3*e6*e9^8+e1^2*e2^2*e3*e9^3*e18-e1^4*e2*e3*e9*e18^2-3*e1*e2*e3*e9^4*e18^2-2*e1^3*e3*e9^2*e18^3+3*e3*e9^5*e18^3-8*e6^5*e18^4;
g72:=2*e2^6*e3^2-e1^3*e2^3*e3*e6-e1^6*e6^2-9*e1^2*e2^2*e3*e6*e9*e18;
g73:=e2^5*e3^3-e1^3*e2^2*e3^2*e6+6*e1*e6^7-9*e1^2*e2*e3^2*e6*e9*e18-9*e2^2*e3^3*e18^3;
g74:=3*e2*e3^7-2*e1^2*e2^3*e3*e6^2-e1^5*e6^3-9*e1*e2^2*e3*e6^2*e9*e18-9*e1^2*e3*e6^2*e18^3;
g75:=e3^8-e1^2*e2^2*e3^2*e6^2+4*e6^8-6*e1*e2*e3^2*e6^2*e9*e18-9*e3^2*e6^2*e9^2*e18^2;
g76:=e3^4*e6^4-e1^3*e2^3*e9*e18-3*e1^2*e2^2*e9^2*e18^2-9*e1*e2*e9^3*e18^3;
g77:=4*e1*e6^6*e9-3*e2^2*e3^2*e9^4-e1^4*e3^2*e18^2;
g78:=4*e2*e6^6*e9-3*e1*e2^2*e3^2*e9^2*e18-e1^3*e2*e3^2*e18^2-9*e2*e3^2*e9^3*e18^2+3*e1^2*e3^2*e9*e18^3;
g79:=2*e6^7*e9-e2^3*e3^3*e18^2-e1^3*e3^2*e6*e18^2-3*e3^2*e6*e9^3*e18^2-3*e3^3*e18^5;
g80:=3*e1^4*e6^2*e9^2-2*e2^5*e3^2*e18-e1^3*e2^2*e3*e6*e18+9*e1^2*e2*e3*e6*e9*e18^2;
g81:=e2^4*e6^2*e9^2-e2*e3^6*e18+3*e1^2*e6^2*e18^4;
g82:=e1^3*e6^3*e9^2-3*e6^3*e9^5-e3^7*e18+6*e1*e2*e3*e6^2*e9*e18^2+6*e3*e6^2*e9^2*e18^3;
g83:=3*e3*e6*e9^6-4*e6^6*e9*e18+e1^3*e3^2*e18^3+3*e3^2*e9^3*e18^3;
g84:=3*e6^2*e9^6-2*e2^3*e3^2*e18^3-e1^3*e3*e6*e18^3-3*e3*e6*e9^3*e18^3-6*e3^2*e18^6;
g85:=e1^2*e2^3*e3^2-e1^5*e3*e6-12*e2*e6^6+9*e1*e2^2*e3^2*e9*e18+27*e2*e3^2*e9^2*e18^2-9*e1^2*e3^2*e18^3;
g86:=3*e1*e3^6-2*e2^5*e3*e6-e1^3*e2^2*e6^2-27*e1*e6^2*e9^2*e18^2+18*e2^2*e3*e6*e18^3;
g87:=e1*e3^5*e9-e2^5*e6*e9+e1*e2^3*e6*e18^2-3*e2^2*e6*e9*e18^3+9*e1*e6*e18^5;
g88:=e3^6*e9-e1^2*e2^2*e6^2*e9-2*e2^3*e3*e6*e18^2-3*e6^2*e9^3*e18^2+6*e3*e6*e18^5;
g89:=e1^3*e2*e3*e9^2+9*e2*e3*e9^5-e1^5*e3*e18-8*e2*e6^5*e18-3*e1^2*e3*e9^3*e18;
g90:=e1^3*e3*e6*e9^2-3*e3*e6*e9^5-e1^2*e2^2*e3^2*e18+4*e6^6*e18-3*e3^2*e9^2*e18^3;
g91:=e2^3*e9^3-e1^2*e2^2*e9*e18-3*e1*e2*e9^2*e18^2+e1^3*e18^3;
g92:=e2^3*e3*e9-e1^3*e6*e9-3*e1*e2*e3*e18^2;
g93:=3*e1*e2*e6*e9^2-2*e2^3*e3*e18-e1^3*e6*e18;
g94:=e1*e6*e9^3-e2^2*e3*e9*e18+e1*e3*e18^3;
g95:=e2*e6*e9^3-e1^2*e6*e9*e18-2*e2*e3*e18^3;
-- Somos eta relations --
t18_5_18:=-e2^3*e3*e9+e1^3*e6*e9+3*e1*e2*e3*e18^2;
t18_5_27:=-3*e1*e2*e6*e9^2+2*e2^3*e3*e18+e1^3*e6*e18;
t18_5_34:=e1*e6*e9^3-e2^2*e3*e9*e18+e1*e3*e18^3;
t18_5_35:=-e2*e6*e9^3+e1^2*e6*e9*e18+2*e2*e3*e18^3;
q18_6_33:=e2^3*e9^3-e1^2*e2^2*e9*e18-3*e1*e2*e9^2*e18^2+e1^3*e18^3;
q18_6_36a:=-2*e1*e2*e6*e9^3+e2^3*e3*e9*e18+e1^3*e6*e9*e18+e1*e2*e3*e18^3;
q18_6_36b:=3*e1*e2*e6*e9^3-4*e2^3*e3*e9*e18+e1^3*e6*e9*e18+6*e1*e2*e3*e18^3;
q18_6_36c:=e1*e2*e6*e9^3-2*e2^3*e3*e9*e18+e1^3*e6*e9*e18+4*e1*e2*e3*e18^3;
q18_6_36d:=-3*e1*e2*e6*e9^3+e2^3*e3*e9*e18+2*e1^3*e6*e9*e18+3*e1*e2*e3*e18^3;
q18_6_36e:=4*e1*e2*e6*e9^3-3*e2^3*e3*e9*e18-e1^3*e6*e9*e18+e1*e2*e3*e18^3;
q18_6_36f:=-9*e1*e2*e6*e9^3+8*e2^3*e3*e9*e18+e1^3*e6*e9*e18-6*e1*e2*e3*e18^3;
q18_6_36g:=e1*e2*e6*e9^3+2*e2^3*e3*e9*e18-3*e1^3*e6*e9*e18-8*e1*e2*e3*e18^3;
q18_6_36h:=3*e1*e2*e6*e9^3+e2^3*e3*e9*e18-4*e1^3*e6*e9*e18-9*e1*e2*e3*e18^3;
q18_7_22:=-2*e2^5*e3*e9+2*e1^3*e2^2*e6*e9+9*e1^2*e2*e6*e9^2*e18-3*e1^4*e6*e18^2;
q18_7_29a:=-e2^4*e3*e9^2+e1^3*e2*e6*e9^2+3*e1^2*e6*e9^3*e18+3*e1^2*e3*e18^4;
q18_7_29b:=-3*e2^4*e3*e9^2+2*e1^2*e2^3*e3*e18+e1^5*e6*e18+9*e1*e2^2*e3*e9*e18^2;
q18_7_46a:=-e2^2*e6*e9^4+e1^2*e2*e6*e9^2*e18+2*e1*e6*e9^3*e18^2+2*e1*e3*e18^5;
q18_7_46b:=-3*e2^2*e6*e9^4+2*e1*e2^3*e3*e18^2+e1^4*e6*e18^2+6*e2^2*e3*e9*e18^3;
q18_7_53:=e2*e6*e9^5-e1*e2^2*e3*e9*e18^2-2*e2*e3*e9^2*e18^3+e1^2*e3*e18^4;
q18_8_15:=e1^3*e2^3*e3^2-e1^6*e3*e6-12*e1*e2*e6^6+9*e2^3*e3^2*e9^3;
q18_8_18:=-2*e2^6*e3^2+e1^3*e2^3*e3*e6+e1^6*e6^2+9*e1^2*e2^2*e3*e6*e9*e18;
x18_8_18a:=-2*e2^6*e3^2+e1^3*e2^3*e3*e6+e1^6*e6^2+9*e1^3*e6^2*e9^3+9*e1^3*e3*e6*e18^3;
x18_8_18b:=-2*e2^6*e3^2+e1^3*e2^3*e3*e6+e1^6*e6^2+9*e2^3*e3*e6*e9^3-18*e2^3*e3^2*e18^3;
x18_8_19:=-e2^5*e3^3+e1^3*e2^2*e3^2*e6-6*e1*e6^7+9*e2^2*e3^2*e6*e9^3-9*e2^2*e3^3*e18^3;
q18_8_21:=-3*e1*e2*e3^6+2*e2^6*e3*e6+e1^3*e2^3*e6^2+9*e1^3*e6^2*e18^3;
x18_8_23:=-3*e2*e3^7+2*e1^2*e2^3*e3*e6^2+e1^5*e6^3+9*e1^2*e6^3*e9^3+18*e1^2*e3*e6^2*e18^3;
x18_8_24:=-e3^8+e1^2*e2^2*e3^2*e6^2-4*e6^8+6*e1*e2*e3^2*e6^2*e9*e18+9*e3^2*e6^2*e9^2*e18^2;
q18_8_26:=e1^2*e2^3*e3*e6*e9-e1^5*e6^2*e9-9*e1*e2^2*e3*e6*e9^2*e18+6*e2^4*e3^2*e18^2;
q18_8_29:=-e2*e3^6*e9+e1^2*e2^3*e6^2*e9+2*e2^4*e3*e6*e18^2+3*e1^2*e6^2*e9*e18^3;
q18_8_31:=-e1^4*e3*e6*e9^2+e1^3*e2^2*e3^2*e18-4*e1*e6^6*e18+3*e2^2*e3^2*e9^3*e18;
q18_8_34a:=e1*e2^3*e3*e6*e9^2-e1^4*e6^2*e9^2-3*e2^2*e3*e6*e9^3*e18+6*e2^2*e3^2*e18^4;
q18_8_34b:=-3*e1^4*e6^2*e9^2+2*e2^5*e3^2*e18+e1^3*e2^2*e3*e6*e18-9*e1^2*e2*e3*e6*e9*e18^2;
q18_8_36a:=-e3^4*e6^4+e1^3*e2^3*e9*e18+3*e1^2*e2^2*e9^2*e18^2+9*e1*e2*e9^3*e18^3;
q18_8_36b:=-e3^4*e6^4+e1*e2^4*e9^3+e1^4*e2*e18^3+9*e1*e2*e9^3*e18^3;
q18_8_36c:=-e3^4*e6^4+e1^3*e2^3*e9*e18+3*e2^3*e9^4*e18+3*e1^3*e9*e18^4;
q18_8_37:=e1*e2^3*e6^2*e9^2-e1*e3^6*e18+9*e1*e6^2*e9^2*e18^3-6*e2^2*e3*e6*e18^4;
q18_8_38:=-e2^4*e3*e9^3+e1^5*e6*e9*e18+3*e1*e2^2*e3*e9^2*e18^2+2*e1^3*e2*e3*e18^3;
t18_8_38:=-e2^4*e6^2*e9^2+e2*e3^6*e18-3*e1^2*e6^2*e18^4;
x18_8_39:=-2*e2^3*e3*e6^2*e9^2+e1^3*e6^3*e9^2+3*e6^3*e9^5+e3^7*e18-6*e3*e6^2*e9^2*e18^3;
q18_8_40:=-2*e1*e2^3*e6*e9^3+2*e2^5*e3*e9*e18-3*e1^2*e2*e6*e9^2*e18^2+e1^4*e6*e18^3;
q18_8_42:=-e2^3*e3*e6*e9^3+e1^3*e6^2*e9^3+2*e2^3*e3^2*e18^3+e1^3*e3*e6*e18^3;
q18_8_45:=e2^3*e6^2*e9^3-e3^6*e9*e18+3*e6^2*e9^3*e18^3-6*e3*e6*e18^6;
t18_8_46:=-4*e1*e6^6*e9+3*e2^2*e3^2*e9^4+e1^4*e3^2*e18^2;
q18_8_47:=-4*e2*e6^6*e9+3*e1^2*e3*e6*e9^4+e1^3*e2*e3^2*e18^2+9*e2*e3^2*e9^3*e18^2;
q18_8_48:=-e2^3*e6*e9^4+e1^2*e2^2*e6*e9^2*e18+2*e1^3*e6*e9*e18^3+6*e1*e2*e3*e18^5;
q18_8_50a:=e1^2*e6^2*e9^4-e1*e2^2*e3*e6*e9^2*e18+e2*e3*e6*e9^3*e18^2-2*e2*e3^2*e18^5;
q18_8_50b:=-3*e1^2*e6^2*e9^4+2*e2^4*e3^2*e18^2+e1^3*e2*e3*e6*e18^2-3*e1^2*e3*e6*e9*e18^3;
x18_8_51:=-2*e6^7*e9+e2^3*e3^3*e18^2+e1^3*e3^2*e6*e18^2+3*e3^2*e6*e9^3*e18^2+3*e3^3*e18^5;
q18_8_54:=3*e1*e2*e6*e9^5-2*e2^3*e3*e9^3*e18-e1^2*e2^2*e3*e9*e18^2+e1^3*e3*e18^4;
q18_8_58:=e1*e6^2*e9^5-e1^2*e2*e3*e6*e9*e18^2+e1*e3*e6*e9^2*e18^3-2*e2^2*e3^2*e18^4;
q18_8_63:=3*e3*e6*e9^6-4*e6^6*e9*e18+e1^3*e3^2*e18^3+3*e3^2*e9^3*e18^3;
q18_8_66:=-e6^2*e9^6+e1*e2*e3*e6*e9^2*e18^2+e3*e6*e9^3*e18^3+2*e3^2*e18^6;
q18_9_21:=-e2^6*e3^3+e1^6*e3*e6^2+6*e1*e2*e6^7-9*e2^3*e3^3*e18^3;
q18_9_24:=3*e1*e2*e3^7-4*e2^6*e3^2*e6+e1^6*e6^3+9*e1^3*e6^3*e9^3;
q18_9_36:=-3*e1*e2*e3^5*e9^2+2*e2^6*e6*e9^2+e1^3*e3^5*e18+6*e1^2*e2^2*e6*e18^4;
q18_9_41a:=-2*e2^4*e3*e6^2*e9^2+e1^3*e2*e6^3*e9^2+e2*e3^7*e18+3*e1^2*e6^3*e9^3*e18;
q18_9_41b:=e1^3*e2*e6^3*e9^2-e2*e3^7*e18+3*e1^2*e6^3*e9^3*e18+6*e1^2*e3*e6^2*e18^4;
q18_9_44:=-e2*e3^5*e9^3+e1^2*e3^5*e9*e18+2*e2^4*e6*e9^2*e18^2+6*e1^2*e6*e18^6;
q18_9_45:=-4*e2^3*e6^5*e9+3*e1^2*e2^2*e3*e9^4+e1^6*e3*e18^2+12*e1*e2*e6^5*e18^2;
q18_9_48:=e1^3*e6^3*e9^3+3*e6^3*e9^6-e3^7*e9*e18-12*e3^2*e6*e18^6;
q18_9_52a:=2*e1*e6^7*e9-3*e2^2*e3^2*e6*e9^4+e1*e2^3*e3^3*e18^2+3*e2^2*e3^3*e9*e18^3;
q18_9_52b:=-2*e1*e6^7*e9+e1*e2^3*e3^3*e18^2+e1^4*e3^2*e6*e18^2+3*e2^2*e3^3*e9*e18^3;
q18_9_61:=3*e2^2*e3*e9^6-4*e2^2*e6^5*e9*e18+e1^4*e3*e9^2*e18^2+4*e1*e6^5*e18^3;
q18_9_69:=-3*e3*e6^2*e9^6+2*e6^7*e9*e18+e2^3*e3^3*e18^3+3*e3^3*e18^6;
q18_10_33:=-e2^3*e3^6*e9+e1^3*e3^5*e6*e9+3*e1*e2^4*e6^2*e9^2*e18+9*e1^3*e6^2*e18^5;
q18_10_37:=2*e2^2*e3^5*e6^3-2*e1^4*e2^3*e9^3-9*e1*e2^3*e9^6+e1^7*e18^3;
q18_10_41a:=-2*e2*e3^5*e6^4+9*e1*e2^2*e6*e9^6+2*e1^3*e2^4*e3*e9*e18-3*e1^5*e6*e9^2*e18^2;
q18_10_41b:=e1^2*e3^3*e6^5-e2^7*e9^3+2*e1^3*e2^4*e18^3+9*e1^3*e2*e18^6;
q18_10_43a:=-4*e2^5*e3*e6^2*e9^2+e1^3*e2^2*e6^3*e9^2+3*e2^2*e3^7*e18+3*e1^4*e6^3*e9*e18^2;
q18_10_43b:=e1*e3^4*e6^5-e1^4*e2^3*e6*e9*e18-3*e2^5*e3*e9^2*e18^2+9*e1^2*e2*e3*e18^6;
q18_10_43c:=e2^5*e3*e6^2*e9^2-e2^2*e3^7*e18+e1*e2^3*e3*e6^2*e9*e18^2-e1^4*e6^3*e9*e18^2;
q18_10_43d:=-e1^3*e2^2*e6^3*e9^2+e2^2*e3^7*e18-4*e1*e2^3*e3*e6^2*e9*e18^2+e1^4*e6^3*e9*e18^2;
q18_10_49:=e1*e3^5*e6*e9^3-e2^5*e6^2*e9^3+e1*e3^6*e18^3-3*e1^2*e2*e6^2*e9*e18^4;
q18_10_51:=-e3^4*e6^5*e9+e2^6*e3*e9^2*e18+9*e1*e2*e6*e9^4*e18^3-3*e1^2*e2^2*e3*e18^5;
q18_10_53a:=-6*e1^2*e6^7*e9+3*e2^4*e3^3*e9^2*e18+e1^2*e2^3*e3^3*e18^2+2*e1^5*e3^2*e6*e18^2;
q18_10_53b:=-4*e1^2*e6^7*e9+2*e2^4*e3^3*e9^2*e18+e1^3*e2*e3^2*e6*e9^2*e18+e1^5*e3^2*e6*e18^2;
q18_10_53c:=2*e1^2*e6^7*e9-e2^4*e3^3*e9^2*e18-2*e1^3*e2*e3^2*e6*e9^2*e18+e1^2*e2^3*e3^3*e18^2;
q18_10_57a:=-e3^3*e6^5*e9^2+e2^6*e9^3*e18+6*e2^3*e9^3*e18^4-3*e1^3*e18^7;
q18_10_57b:=-3*e1^2*e2^2*e6*e9^5+2*e3^5*e6^4*e18+e1^6*e6*e9*e18^2-18*e1*e2*e3*e9^3*e18^4;
q18_10_57c:=9*e2^3*e3^2*e9^5-8*e2^3*e3*e6^5*e18-4*e1^3*e6^6*e18+3*e1^4*e2*e3^2*e9*e18^2;
q18_10_59a:=e1*e2^2*e6^3*e9^4-e2*e3^7*e18^2+e1^2*e6^3*e9^3*e18^2+4*e1^2*e3*e6^2*e18^5;
q18_10_59b:=e1*e2^2*e6^3*e9^4-e2*e3^7*e18^2+e1*e2^2*e3*e6^2*e9*e18^3+3*e1^2*e3*e6^2*e18^5;
q18_10_59c:=e1*e2^2*e6^3*e9^4-e2*e3^7*e18^2-3*e1^2*e6^3*e9^3*e18^2+4*e1*e2^2*e3*e6^2*e9*e18^3;
q18_10_61a:=2*e1*e6^7*e9^2-2*e2^2*e3^2*e6*e9^5+e2^2*e3^3*e9^2*e18^3+e1^2*e2*e3^3*e18^4;
q18_10_61b:=-4*e1*e6^7*e9^2+3*e2^2*e3^2*e6*e9^5+e1^2*e2*e3^2*e6*e9^3*e18-2*e1^2*e2*e3^3*e18^4;
q18_10_61c:=2*e1*e6^7*e9^2-2*e1^2*e2*e3^2*e6*e9^3*e18-3*e2^2*e3^3*e9^2*e18^3+e1^2*e2*e3^3*e18^4;
q18_10_65:=-4*e2*e6^6*e9^3+3*e1*e2^2*e3^2*e9^4*e18+e1^5*e3^2*e18^3+8*e2*e3*e6^5*e18^3;
q18_10_69:=-3*e2^3*e9^7+2*e3^5*e6^3*e18^2+e1^6*e9*e18^3+6*e1^3*e9^4*e18^3;
q18_11_31:=-4*e2^8*e3^2*e9+4*e1^6*e2^2*e6^2*e9+27*e1^3*e2^2*e6^2*e9^4-3*e1^7*e6^2*e18^2;
q18_11_36:=e2^3*e3^7*e9-e1^5*e2^2*e6^3*e9-6*e1^2*e2^2*e6^3*e9^4+e1^6*e6^3*e18^2;
q18_11_38:=3*e2^7*e3^2*e9^2-4*e1^2*e2^6*e3^2*e18+e1^8*e6^2*e18-27*e1^2*e2^3*e3^2*e18^4;
q18_11_39:=-e2^6*e3^3*e9^2+e1^2*e2^5*e3^3*e18+2*e1^3*e6^7*e18+6*e1^2*e2^2*e3^3*e18^4;
q18_11_71:=2*e2*e6^7*e9^3-2*e2^4*e3^3*e9^2*e18^2-9*e2*e3^3*e9^2*e18^5+3*e1^2*e3^3*e18^6;
q18_11_76:=-3*e2^2*e6^3*e9^6+2*e1^4*e6^3*e9^2*e18^2+9*e1*e6^3*e9^5*e18^2+e1*e3^7*e18^3;
q18_11_79:=-e2^2*e6^2*e9^7+e1^4*e6^2*e9^3*e18^2+4*e1*e6^2*e9^6*e18^2-4*e1*e3^2*e18^8;
q18_11_86:=e2*e6^2*e9^8-e2^4*e3^2*e9^2*e18^3-4*e2*e3^2*e9^2*e18^6+e1^2*e3^2*e18^7;
q18_12_27a:=2*e2^9*e3^3-3*e1^3*e2^6*e3^2*e6+e1^9*e6^3-27*e1^3*e2^3*e3^2*e6*e18^3;
q18_12_27b:=-4*e2^9*e3^3+3*e1^6*e2^3*e3*e6^2+e1^9*e6^3+27*e1^3*e2^3*e3*e6^2*e9^3;
q18_12_28a:=-e2^8*e3^4+e1^6*e2^2*e3^2*e6^2-3*e1^4*e6^8+9*e1^3*e2^2*e3^2*e6^2*e9^3;
q18_12_28b:=-e2^8*e3^4+e1^3*e2^5*e3^3*e6+3*e1^4*e6^8+9*e1^3*e2^2*e3^3*e6*e18^3;
q18_12_32a:=3*e2^4*e3^8-4*e1^2*e2^6*e3^2*e6^2+e1^8*e6^4-36*e1^2*e2^3*e3^2*e6^2*e18^3;
q18_12_32b:=-3*e2^4*e3^8+2*e1^5*e2^3*e3*e6^3+e1^8*e6^4+18*e1^2*e2^3*e3*e6^3*e9^3;
q18_12_33a:=-e2^3*e3^9+e1^2*e2^5*e3^3*e6^2+2*e1^3*e6^9+9*e1^2*e2^2*e3^3*e6^2*e18^3;
q18_12_33b:=-e2^3*e3^9+e1^5*e2^2*e3^2*e6^3-4*e1^3*e6^9+9*e1^2*e2^2*e3^2*e6^3*e9^3;
t18_12_48:=e1^6*e6^4*e9^2-e2^3*e3^8*e18+6*e1^2*e2^2*e3*e6^3*e9^3*e18;
q18_12_48a:=4*e2^6*e3^2*e6^2*e9^2-2*e1^3*e2^3*e3*e6^3*e9^2+e1^6*e6^4*e9^2-3*e2^3*e3^8*e18;
q18_12_48b:=e1^6*e6^4*e9^2+6*e2^3*e3*e6^3*e9^5-e2^3*e3^8*e18-12*e2^3*e3^2*e6^2*e9^2*e18^3;
q18_12_48c:=-2*e1^3*e2^3*e3*e6^3*e9^2+e1^6*e6^4*e9^2+e2^3*e3^8*e18-12*e1^2*e2^2*e3^2*e6^2*e18^4;
q18_12_48d:=2*e1^3*e2^3*e3*e6^3*e9^2+e1^6*e6^4*e9^2-3*e2^3*e3^8*e18+12*e1*e2^4*e3^2*e6^2*e9*e18^2;
q18_12_52:=-e2^5*e3^3*e6*e9^3+e1^3*e2^2*e3^2*e6^2*e9^3+3*e1*e6^8*e9^3-9*e2^2*e3^4*e18^6;
t18_12_60:=e1^3*e6^8*e9-e2^6*e3^4*e18^2+3*e1^2*e2^2*e3^3*e6*e9*e18^3;
q18_12_60a:=-3*e1^3*e6^8*e9+e2^6*e3^4*e18^2+e1^3*e2^3*e3^3*e6*e18^2+e1^6*e3^2*e6^2*e18^2;
q18_12_60b:=e1^3*e6^8*e9-e2^6*e3^4*e18^2+3*e1^3*e3^2*e6^2*e9^3*e18^2+3*e1^3*e3^3*e6*e18^5;
q18_12_60c:=e1^3*e6^8*e9-3*e1^2*e2^2*e3^2*e6^2*e9^4+e2^6*e3^4*e18^2+e1^3*e2^3*e3^3*e6*e18^2;
q18_12_60d:=3*e1^3*e6^8*e9-3*e1^4*e2*e3^2*e6^2*e9^2*e18-e2^6*e3^4*e18^2+e1^3*e2^3*e3^3*e6*e18^2;
t18_12_64:=e1^4*e6^4*e9^4-e2^2*e3^8*e18^2+4*e1*e2^3*e3^2*e6^2*e9*e18^3;
q18_12_64a:=3*e1^4*e6^4*e9^4-4*e2^5*e3^2*e6^2*e9^2*e18+e2^2*e3^8*e18^2+12*e1^2*e2*e3*e6^3*e9^3*e18^2;
q18_12_64b:=3*e1^4*e6^4*e9^4-4*e1^3*e2^2*e3*e6^3*e9^2*e18+e2^2*e3^8*e18^2-12*e1^2*e2*e3^2*e6^2*e18^5;
t18_12_68:=-e1^2*e6^8*e9^2+e1^3*e2*e3^2*e6^2*e9^3*e18+e2^4*e3^4*e18^4;
q18_12_68a:=e1^2*e6^8*e9^2-3*e1*e2^2*e3^2*e6^2*e9^5+2*e1^2*e2^3*e3^3*e6*e9*e18^2+3*e2^4*e3^4*e18^4;
q18_12_68b:=e1^2*e6^8*e9^2-e1^5*e3^2*e6^2*e9*e18^2-6*e1*e2^2*e3^3*e6*e9^2*e18^3+3*e2^4*e3^4*e18^4;
t18_12_76:=-e1*e6^8*e9^3+e1*e2^3*e3^3*e6*e9^2*e18^2+3*e2^2*e3^4*e18^6;
q18_12_76a:=e1*e6^8*e9^3-e2^2*e3^2*e6^2*e9^6+e2^2*e3^3*e6*e9^3*e18^3-e2^2*e3^4*e18^6;
q18_12_76b:=e1*e6^8*e9^3-e1^4*e3^2*e6^2*e9^2*e18^2-3*e2^2*e3^3*e6*e9^3*e18^3+3*e2^2*e3^4*e18^6;
q18_12_76c:=-e1*e6^8*e9^3+e1^2*e2*e3^2*e6^2*e9^4*e18+e2^2*e3^3*e6*e9^3*e18^3+e2^2*e3^4*e18^6;
t18_12_80:=-3*e1^2*e6^4*e9^6+2*e1^3*e2*e3*e6^3*e9^2*e18^2+e2*e3^8*e18^3;
q18_12_80a:=e1^2*e6^4*e9^6-e2*e3^8*e18^3+2*e1^2*e3*e6^3*e9^3*e18^3+4*e1^2*e3^2*e6^2*e18^6;
q18_12_80b:=-9*e1^2*e6^4*e9^6+3*e2*e3^8*e18^3+4*e1^2*e2^3*e3^2*e6^2*e18^3+2*e1^5*e3*e6^3*e18^3;
q18_12_80c:=3*e1^2*e6^4*e9^6-4*e2^4*e3^2*e6^2*e9^2*e18^2+e2*e3^8*e18^3+6*e1^2*e3*e6^3*e9^3*e18^3;
q18_12_80d:=e1^2*e6^4*e9^6-e2*e3^8*e18^3-2*e1^2*e3*e6^3*e9^3*e18^3+4*e1*e2^2*e3^2*e6^2*e9*e18^4;
q18_12_81a:=2*e6^9*e9^3-3*e2^3*e3^3*e6^2*e9^2*e18^2+e3^9*e18^3-9*e3^3*e6^2*e9^2*e18^5;
q18_12_81b:=-4*e6^9*e9^3+3*e1^3*e3^2*e6^3*e9^2*e18^2+9*e3^2*e6^3*e9^5*e18^2+e3^9*e18^3;
q18_12_84a:=-e6^8*e9^4+e1^3*e3^2*e6^2*e9^3*e18^2+3*e3^2*e6^2*e9^6*e18^2-3*e3^4*e18^8;
q18_12_84b:=-e6^8*e9^4+e2^3*e3^3*e6*e9^3*e18^2+3*e3^3*e6*e9^3*e18^5+3*e3^4*e18^8;
q18_12_96a:=3*e6^4*e9^8-4*e2^3*e3^2*e6^2*e9^2*e18^3+e3^8*e18^4-12*e3^2*e6^2*e9^2*e18^6;
q18_12_96b:=-3*e6^4*e9^8+2*e1^3*e3*e6^3*e9^2*e18^3+6*e3*e6^3*e9^5*e18^3+e3^8*e18^4;
q18_12_99a:=-e6^3*e9^9+e1^3*e3*e6^2*e9^3*e18^3+3*e3*e6^2*e9^6*e18^3-4*e3^3*e18^9;
q18_12_99b:=-e6^3*e9^9+e2^3*e3^2*e6*e9^3*e18^3+3*e3^2*e6*e9^3*e18^6+2*e3^3*e18^9;
q18_13_50:=e1^6*e2*e6^4*e9^2+9*e1^3*e2*e6^4*e9^5-e2^4*e3^8*e18-3*e1^5*e6^4*e9^3*e18;
q18_13_61:=-e1^4*e6^8*e9+e1*e2^6*e3^4*e18^2-3*e2^5*e3^4*e9*e18^3+9*e1*e2^3*e3^4*e18^5;
q18_13_66:=-3*e1^4*e2*e6^4*e9^4+4*e2^6*e3^2*e6^2*e9^2*e18+2*e1^6*e6^4*e9^2*e18-3*e2^3*e3^8*e18^2;
q18_13_69:=-3*e1^3*e6^8*e9^2+2*e2^6*e3^4*e9*e18^2+e1^6*e3^2*e6^2*e9*e18^2-3*e1*e2^4*e3^4*e18^4;
q18_13_74:=e1^3*e2*e6^4*e9^5-e1^5*e6^4*e9^3*e18-3*e1^2*e6^4*e9^6*e18+e2*e3^8*e18^4;
q18_13_77:=e1^2*e6^8*e9^3-e1*e2^2*e3^2*e6^2*e9^6+e2^4*e3^4*e9*e18^4-2*e1*e2^2*e3^4*e18^6;
q18_13_82:=-2*e1^2*e2*e6^4*e9^6+e1^4*e6^4*e9^4*e18+e2^2*e3^8*e18^3-4*e1^2*e2*e3^2*e6^2*e18^6;
q18_13_85:=e1*e6^8*e9^4-e2^5*e3^4*e9*e18^3+e1*e2^3*e3^4*e18^5-3*e2^2*e3^4*e9*e18^6;
q18_14_51:=-e2^3*e3^9*e9^2+8*e1^3*e6^9*e9^2+e1^2*e2^2*e3^9*e18-6*e1^4*e2*e3^2*e6^3*e9^3*e18;
q18_14_69:=-e1^2*e2^2*e6^9*e9+e2^3*e3^9*e18^2+e1^3*e6^9*e18^2-3*e1*e2^4*e3^3*e6^2*e9*e18^3;
q18_14_78:=e1^3*e6^8*e9^3-e2^6*e3^4*e9^2*e18^2+3*e1*e2^4*e3^4*e9*e18^4-3*e1^2*e2^2*e3^4*e18^6;
q18_14_83:=8*e1^2*e6^9*e9^3-6*e1^3*e2*e3^2*e6^3*e9^4*e18-3*e2*e3^9*e9^2*e18^2+e1^2*e3^9*e18^3;
q18_14_84:=3*e1^2*e2^2*e6^4*e9^6-3*e1^4*e2*e6^4*e9^4*e18+e1^6*e6^4*e9^2*e18^2-e2^3*e3^8*e18^3;
q18_14_85:=-e2^2*e6^9*e9^3+3*e1*e6^9*e9^2*e18^2+e2^2*e3^9*e18^3-3*e1*e2^3*e3^3*e6^2*e9*e18^4;
q18_15_60:=-e1*e2*e3^7*e6^6+e2^3*e3^9*e9^3-2*e1^3*e6^9*e9^3+e1^5*e2^2*e3^3*e6^2*e18^3;
q18_15_63:=-e1*e2*e3^6*e6^7+e1^2*e2^5*e3^2*e6^3*e9^3+e2^3*e3^9*e18^3+4*e1^3*e6^9*e18^3;
q18_15_84:=2*e1^3*e6^9*e9^3-3*e3^7*e6^6*e9*e18+9*e2^3*e3^3*e6^2*e9^5*e18^2+e1^3*e3^9*e18^3;
q18_15_87:=-4*e2^3*e6^9*e9^3+3*e3^6*e6^7*e9*e18+e2^3*e3^9*e18^3-9*e1^3*e3^2*e6^3*e9^2*e18^5;
q18_16_58:=-3*e2^8*e3^4*e6^2*e9^2+3*e1^4*e6^10*e9^2+2*e2^5*e3^10*e18+e1^3*e2^2*e3^9*e6*e18;
q18_16_74:=8*e1^2*e2^3*e3*e6^9*e9-8*e1^5*e6^10*e9-3*e2^4*e3^10*e18^2+3*e1^8*e3^2*e6^4*e18^2;
q18_16_90a:=-e1^3*e6^10*e9^3-e2^6*e3^4*e6^2*e9^2*e18^2+e1^3*e2^3*e3^3*e6^3*e9^2*e18^2+e2^3*e3^10*e18^3;
t18_16_90a:=e1^3*e6^10*e9^3-e2^3*e3^10*e18^3+3*e1*e2^4*e3^4*e6^2*e9*e18^4;
q18_16_90b:=e1^3*e6^10*e9^3-e2^3*e3^10*e18^3+3*e1^2*e2^2*e3^3*e6^3*e9^3*e18^3+3*e1^2*e2^2*e3^4*e6^2*e18^6;
t18_16_90b:=-4*e1^3*e6^10*e9^3+3*e1^4*e2*e3^2*e6^4*e9^4*e18+e2^3*e3^10*e18^3;
q18_16_90c:=-4*e1^3*e6^10*e9^3+2*e1^3*e2^3*e3^3*e6^3*e9^2*e18^2+e1^6*e3^2*e6^4*e9^2*e18^2+e2^3*e3^10*e18^3;
q18_16_90d:=-4*e1^3*e6^10*e9^3+3*e1^2*e2^2*e3^2*e6^4*e9^6+e2^3*e3^10*e18^3-6*e1^2*e2^2*e3^3*e6^3*e9^3*e18^3;
q18_16_90e:=-2*e1^3*e6^10*e9^3+2*e2^6*e3^4*e6^2*e9^2*e18^2+e1^6*e3^2*e6^4*e9^2*e18^2-e2^3*e3^10*e18^3;
q18_16_90f:=2*e1^3*e6^10*e9^3-3*e1^2*e2^2*e3^2*e6^4*e9^6+e2^3*e3^10*e18^3-6*e1^2*e2^2*e3^4*e6^2*e18^6;
q18_16_98:=e1^2*e6^10*e9^4-e2*e3^9*e6*e9^3*e18^2+2*e2*e3^10*e18^5-9*e1^2*e3^4*e6^2*e18^8;
q18_16_106:=8*e1*e6^10*e9^5-9*e2^2*e3^2*e6^4*e9^8+8*e1*e3*e6^9*e9^2*e18^3+e2^2*e3^10*e18^4;
q18_17_81:=9*e1^4*e2*e6^3*e9^9-e2^9*e3^3*e9^4*e18+e1^9*e6^3*e9^4*e18+9*e1^4*e2*e3^3*e18^9;
q18_17_108:=-9*e1*e2^4*e6^3*e9^9+8*e2^9*e3^3*e9*e18^4+e1^9*e6^3*e9*e18^4+72*e1*e2^4*e3^3*e18^9;
q18_18_57:=3*e2^3*e3^13*e6^2-4*e1^3*e2^9*e3^3*e9^3+e1^12*e6^3*e9^3-81*e1^3*e2^3*e3*e6^2*e9^9;
q18_18_87:=-3*e1^3*e3^2*e6^13+2*e2^12*e3^3*e18^3+e1^9*e2^3*e6^3*e18^3+81*e1^3*e2^3*e3^2*e6*e18^9;
q18_18_99:=-2*e1^3*e3*e6^11*e9^3+e2^3*e3^11*e6*e18^3+e1^6*e2^6*e9^3*e18^3-27*e1^3*e2^3*e9^6*e18^6;
q18_18_105:=9*e1^3*e6^3*e9^12-e3^13*e6^2*e18^3+e1^9*e3*e6^2*e9^3*e18^3+36*e1^3*e3^3*e9^3*e18^9;
q18_18_111:=-e3^2*e6^13*e9^3+e2^9*e3^2*e6*e9^3*e18^3+9*e2^3*e6^3*e9^9*e18^3-18*e2^3*e3^3*e18^12;
-- Relation relations --
relationRelations := [_
t18_5_18+g92,_
t18_5_27+g93,_
t18_5_34-1*g94,_
t18_5_35+g95,_
q18_6_33-1*g91,_
3*q18_6_36a+e18*g92+2*e9*g93,_
q18_6_36b+2*e18*g92-e9*g93,_
3*q18_6_36c+4*e18*g92-e9*g93,_
q18_6_36d+e18*g92+e9*g93,_
3*q18_6_36e+e18*g92-4*e9*g93,_
q18_6_36f-2*e18*g92+3*e9*g93,_
3*q18_6_36g-8*e18*g92-e9*g93,_
q18_6_36h-3*e18*g92-e9*g93,_
q18_7_22+2*e2^2*g92-3*e1*e18*g93,_
q18_7_29a+e2*e9*g92-3*e1*e18*g94,_
q18_7_29b+3*e2*e9*g92+e1^2*g93,_
q18_7_46a-2*e18^2*g94+e2*e9*g95,_
q18_7_46b+e1*e18*g93+3*e2*e9*g95,_
q18_7_53-e1*e18*g94-e9^2*g95,_
q18_8_15-e1*g85-9*e3^2*g91,_
q18_8_18+g72,_
x18_8_18a+g72-9*e1^2*e6*g94,_
x18_8_18b+g72-9*e3*e6*g91-9*e3*e18^2*g93,_
x18_8_19+g73-9*e2*e3^2*g95,_
q18_8_21+e2*g86+9*e6*e18^2*g93,_
x18_8_23+g74-9*e1*e6^2*g94,_
x18_8_24+g75,_
q18_8_26-e1^2*e6*g92+3*e2*e3*e18*g93,_
q18_8_29+e2*g88+3*e6*e18^2*g95,_
q18_8_31+e1*g90+3*e3*e9^2*g94,_
q18_8_34a-e1*e6*e9*g92+3*e2*e3*e18*g95,_
q18_8_34b+g80,_
q18_8_36a+g76,_
q18_8_36b+g76-e1*e2*g91,_
q18_8_36c+g76-3*e9*e18*g91,_
3*q18_8_37+e18*g86-e2^2*e6*g93,_
q18_8_38+e2*e3*g91+e1^2*e18*g92,_
t18_8_38+g81,_
x18_8_39+g82+2*e6^2*e9*g92,_
q18_8_40+2*e1*e6*g91-2*e2^2*e18*g92+3*e1*e18^2*g93,_
q18_8_42+e3*e6*g91+e3*e18^2*g93-e1^2*e6*g94,_
q18_8_45+e18*g88-e6^2*g91-e6*e18^2*g93,_
t18_8_46+g77,_
q18_8_47+g78-3*e1*e3*e9*g94,_
q18_8_48+e6*e9*g91+2*e18^3*g92+e9*e18^2*g93,_
q18_8_50a-e1*e6*e9*g94-e3*e18^2*g95,_
q18_8_50b+e2*e3*e18*g93+3*e1*e6*e9*g94,_
x18_8_51+g79,_
q18_8_54-e9^3*g93-e1^2*e18*g94,_
q18_8_58-e6*e9^2*g94-e2*e3*e18*g95,_
q18_8_63-1*g83,_
3*q18_8_66+g84-e3*e18^2*g93,_
2*q18_9_21+e3*g72+e1*e6*g85-9*e3^2*e18^2*g93,_
q18_9_24+2*e6*g72-e1*g74-9*e9*g82-9*e6*g84-9*e3*e18*g88+18*e3*e6*e18^2*g93,_
q18_9_36+g64+3*e2*e9*g87,_
q18_9_41a+2*e3*g81-e2*g82-6*e1*e6^2*e18*g94-3*e6^2*e9^2*g95,_
q18_9_41b-e2*g82-6*e1*e6^2*e18*g94-3*e6^2*e9^2*g95,_
q18_9_44+g66-e1*e18*g87,_
q18_9_45+g61,_
q18_9_48-e9*g82-2*e6*g84+2*e3*e6*e18^2*g93,_
2*q18_9_52a-e6*g77+e1*e3^2*e18*g93+3*e2*e3^2*e9*g95,_
2*q18_9_52b+e6*g77+e1*e3^2*e18*g93+3*e2*e3^2*e9*g95,_
q18_9_61-1*g70,_
q18_9_69+e18*g79+e6*g83,_
q18_10_33+e9*g57-9*e6^2*e18^2*g91,_
q18_10_37-e2*g58-e1^4*g91,_
q18_10_41a+e6*g58+e1^3*e2*e9*g93,_
q18_10_41b-e1*g60+e2^4*g91,_
q18_10_43a+4*e2*e3*g81-e2^2*g82+4*e1*e6^2*e18^2*g92-e1*e6^2*e9*e18*g93-3*e2*e6^2*e9^2*g95,_
q18_10_43b-e3*g60-e1*e2^3*e18*g92,_
q18_10_43c-e2*e3*g81-e1*e6^2*e18^2*g92,_
q18_10_43d+e2^2*g82+e1*e6^2*e9*e18*g93+3*e2*e6^2*e9^2*g95,_
q18_10_49-e1*g67+e2*e9*g81+e2^2*e18*g88-e2^2*e6*e18^2*g93+3*e2*e6*e18^3*g95,_
q18_10_51+e3*g62+3*e9*e18^4*g92-3*e9^2*e18^3*g93,_
2*q18_10_53a+3*e1*e6*g77-2*e3*e18^2*g85+3*e3*e6*e18*g89+3*e2*e3^2*e9^2*g93-18*e1*e3^2*e18^2*g94-27*e3^2*e9^2*e18*g95,_
q18_10_53b+e1*e6*g77+e2*e3^2*e9^2*g93,_
2*q18_10_53c-e1*e6*g77-2*e3*e18^2*g85+3*e3*e6*e18*g89-e2*e3^2*e9^2*g93-18*e1*e3^2*e18^2*g94-27*e3^2*e9^2*e18*g95,_
q18_10_57a+e9*g62+3*e18^4*g91,_
q18_10_57b+e6*g69-6*e3*e9*e18^2*g91-3*e9^4*e18*g93+6*e1^2*e9*e18^2*g94,_
q18_10_57c+2*e18*g59-9*e18*g65-9*e3^2*e9^2*g91,_
3*q18_10_59a-2*e3*e18*g81-e2*e18*g82-e2*e6^2*e9^2*g93-6*e1*e6^2*e18^2*g94-3*e6^2*e9^2*e18*g95,_
3*q18_10_59b-2*e3*e18*g81-e2*e18*g82-e2*e6^2*e9^2*g93-3*e1*e6^2*e18^2*g94-3*e6^2*e9^2*e18*g95,_
3*q18_10_59c-2*e3*e18*g81-e2*e18*g82-e2*e6^2*e9^2*g93+6*e1*e6^2*e18^2*g94-3*e6^2*e9^2*e18*g95,_
6*q18_10_61a-3*e6*e9*g77+2*e1*e3^2*e18^2*g92+e1*e3^2*e9*e18*g93+3*e2*e3^2*e9^2*g95,_
3*q18_10_61b+3*e6*e9*g77-2*e1*e3^2*e18^2*g92-e1*e3^2*e9*e18*g93,_
6*q18_10_61c-3*e6*e9*g77+2*e1*e3^2*e18^2*g92+e1*e3^2*e9*e18*g93-9*e2*e3^2*e9^2*g95,_
q18_10_65+e9^2*g78+e3*e18^2*g89,_
q18_10_69+e18*g69+3*e9^4*g91,_
q18_11_31+2*e3*e9*g56-3*e1*e18^2*g72+(-3*e1*e2*e18+18*e9*e18^2)*g80+2*e1^3*e9*g86+2*e1^3*e2^2*e6*g92-9*e1^2*e2*e6*e9^2*g93,_
3*q18_11_36-3*e3*e9*g57+2*e6*e18^2*g72+e1*e18^2*g74+2*e2*e6*e18*g80+3*e1*e3*e18*g81-27*e9*e18^2*g82-27*e6*e18^2*g84-e1^2*e6*e9*g86-27*e3*e18^3*g88+27*e3*e6^2*e18^2*g91-2*e1^2*e2^2*e6^2*g92+(6*e1*e2*e6^2*e9^2+54*e3*e6*e18^4)*g93,_
2*q18_11_38-2*e6*e18*g55-3*e2*e6*g63+(-3*e2*e9^2+4*e1^2*e18)*g72+54*e18^4*g85+(-3*e2^3*e6-27*e6*e18^3)*g89+(27*e2*e3*e6*e9^2+9*e1^2*e3*e6*e18)*g91+486*e1*e3*e18^4*g94+729*e3*e9^2*e18^3*g95,_
2*q18_11_39+4*e6*e18*g59+2*e3*e6*g63-3*e6*e18*g65+e3*e9^2*g72-2*e1^2*e18*g73+3*e2*e6*e9*g77-30*e9^2*e18*g79+e1*e6*e9^2*g85+30*e3*e18^3*g90+9*e3^2*e6*e9^2*g91+15*e3^2*e9^2*e18^2*g93,_
2*q18_11_71-e6*e9^2*g78+2*e2*e3^2*e9*e18^2*g92-e2*e3^2*e9^2*e18*g93-6*e1*e3^2*e18^3*g94-9*e3^2*e9^2*e18^2*g95,_
3*q18_11_76-2*e6*e18^2*g80+3*e2^2*e6*g84-e3*e18^3*g86-27*e6^2*e9^2*e18^2*g94-18*e2*e3*e6*e18^3*g95,_
3*q18_11_79-e9*e18^2*g80+(e2^2*e9-4*e1*e18^2)*g84+4*e1*e3*e18^4*g93-12*e3*e18^5*g94+3*e2*e3*e9*e18^3*g95,_
3*q18_11_86-e2*e6*g71+e6*e18^3*g89+e1^2*e3*e6*e18*g91+e2*e3*e9*e18^3*g92-e2*e3*e9^2*e18^2*g93-3*e1*e3*e18^4*g94-6*e3*e9^2*e18^3*g95,_
q18_12_27a-e2*e3^2*g56-27*e6^2*e18*g61+(2*e1^3*e6+9*e3*e18^3)*g72-e1^4*g74+(-9*e2^2*e6*e9*e18+27*e1*e6*e18^3)*g85+243*e3^2*e6*e18^3*g91+27*e1*e2*e3*e6*e9*e18^2*g92-27*e1*e2*e3*e6*e9^2*e18*g93,_
q18_12_27b+2*e2*e3^2*g56+81*e6^2*e18*g61+81*e2*e6^2*g70+(-e1^3*e6-45*e3*e18^3)*g72+2*e1^4*g74-27*e2*e3*e18^2*g80+(18*e2^2*e6*e9*e18-54*e1*e6*e18^3)*g85-27*e2^2*e6^2*e9*g89-486*e3^2*e6*e18^3*g91-54*e1*e2*e3*e6*e9*e18^2*g92+54*e1*e2*e3*e6*e9^2*e18*g93,_
2*q18_12_28a+e3^3*g56-18*e1*e6^2*g65+18*e3*e6^2*g70+(-e1^3*e6-36*e3*e18^3)*g73+3*e1^4*g75+18*e6^2*e9^2*g77+45*e2*e3*e6*e18*g78-9*e3^2*e18^2*g80+9*e2*e3*e6*e9*e18*g85+18*e1*e3^2*e6*e9*e18^2*g92-18*e1*e3^2*e6*e9^2*e18*g93+162*e2*e3^3*e18^3*g95,_
2*q18_12_28b+e3^3*g56-3*e1^3*e6*g73+3*e1^4*g75+27*e2*e3*e6*e18*g78+9*e3^2*e18^2*g80+9*e2*e3*e6*e9*e18*g85,_
q18_12_32a-3*e2*e3^2*g57+2*e1^2*e6^2*g72+(-e1^3*e6+9*e3*e18^3)*g74+27*e3^2*e18^2*g81-9*e1*e2^2*e3*e6^2*e18*g92,_
q18_12_32b+3*e2*e3^2*g57+(e1^3*e6-27*e3*e18^3)*g74-27*e3^2*e18^2*g81-54*e2*e3*e18^2*g82-18*e1^2*e3*e6^3*g91+9*e1*e2^2*e3*e6^2*e18*g92-162*e1*e3*e6^2*e18^3*g94-162*e3*e6^2*e9^2*e18^2*g95,_
q18_12_33a+e3^3*g57-e1^2*e6^2*g73+e1^3*e6*g75+(3*e1*e2*e3^2*e6^2*e18-9*e3^2*e6^2*e9*e18^2)*g92,_
q18_12_33b+e3^3*g57-9*e6^3*g65+(e1^3*e6-18*e3*e18^3)*g75+18*e6^2*e9^2*g79-18*e3^2*e18^2*g82+(3*e1*e2*e3^2*e6^2*e18-9*e3^2*e6^2*e9*e18^2)*g92-9*e3^2*e6^2*e9^2*e18*g93,_
3*t18_12_48+3*e3^2*e18*g57-3*e6^3*g63+2*e2^2*e6^2*e18*g85+e1^2*e3*e6*e18*g86+(-9*e1*e2*e3*e6^2*e18^2-27*e3*e6^2*e9*e18^3)*g92+27*e3*e6^2*e9^2*e18^2*g93,_
3*q18_12_48a+15*e3^2*e18*g57-3*e6^3*g63-12*e3^2*e6*g64+6*e2^3*e3*g82+2*e2^2*e6^2*e18*g85+e1^2*e3*e6*e18*g86+18*e3*e6^3*e9^2*g91+(-21*e1*e2*e3*e6^2*e18^2-27*e3*e6^2*e9*e18^3)*g92+(12*e1*e2*e3*e6^2*e9*e18+45*e3*e6^2*e9^2*e18^2)*g93,_
3*q18_12_48b+3*e3^2*e18*g57-3*e6^3*g63+2*e2^2*e6^2*e18*g85+e1^2*e3*e6*e18*g86-18*e3*e6^3*e9^2*g91+(-9*e1*e2*e3*e6^2*e18^2-27*e3*e6^2*e9*e18^3)*g92+9*e3*e6^2*e9^2*e18^2*g93,_
3*q18_12_48c+3*e3^2*e18*g57-3*e6^3*g63+6*e2^3*e3*g82+2*e2^2*e6^2*e18*g85+e1^2*e3*e6*e18*g86+18*e3*e6^3*e9^2*g91+(-21*e1*e2*e3*e6^2*e18^2-27*e3*e6^2*e9*e18^3)*g92+(12*e1*e2*e3*e6^2*e9*e18+45*e3*e6^2*e9^2*e18^2)*g93,_
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q18_12_64b-e6^2*e9^2*g80-2*e2*e3^2*e18*g81+3*e2^2*e3*e18*g82-6*e1*e3*e6^2*e18^3*g92+6*e1*e3*e6^2*e9*e18^2*g93+9*e2*e3*e6^2*e9^2*e18*g95,_
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36*q18_12_76a+3*e3*e6^2*g70-2*e3*e18^3*g73-9*e6^2*e9^2*g77+3*e2*e3*e6*e18*g78-e3^2*e18^2*g80+9*e1*e3^2*e6*e9*e18^2*g92-9*e2*e3^3*e18^3*g95,_
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12*q18_12_76c+3*e3*e6^2*g70-2*e3*e18^3*g73+3*e6^2*e9^2*g77+3*e2*e3*e6*e18*g78-e3^2*e18^2*g80+e1*e3^2*e6*e9*e18^2*g92-4*e1*e3^2*e6*e9^2*e18*g93+15*e2*e3^3*e18^3*g95,_
t18_12_80-e3*e18^3*g74-2*e2*e3*e18^2*g82+e1^2*e6^2*g84-3*e1*e3*e6^2*e18^3*g94-6*e3*e6^2*e9^2*e18^2*g95,_
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q18_12_81b+2*e6^2*e9^2*g79+e3^2*e18^2*g82+2*e3^2*e6^2*e9*e18^2*g92,_
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36*q18_13_77+3*e1*e3*e6^2*g70-2*e1*e3*e18^3*g73+(-9*e1*e6^2*e9^2+3*e2^2*e3*e6*e18)*g77+27*e3*e6*e9*e18^2*g78-e1*e3^2*e18^2*g80+9*e3*e6*e9^2*e18^2*g85+9*e2*e3^3*e6*e9*e18*g91-18*e2*e3^3*e18^4*g92+9*e2*e3^3*e9*e18^3*g93,_
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