etaRelations:=[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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, e6^12-e2^9*e18^3-9*e2^6*e18^6-27*e2^3*e18^9, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 2*e2^6*e3^2-e1^3*e2^3*e3*e6-e1^6*e6^2-9*e1^2*e2^2*e3*e6*e9*e18, 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, 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, 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, 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, 4*e1*e6^6*e9-3*e2^2*e3^2*e9^4-e1^4*e3^2*e18^2, 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, 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, 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, e2^4*e6^2*e9^2-e2*e3^6*e18+3*e1^2*e6^2*e18^4, 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, 3*e3*e6*e9^6-4*e6^6*e9*e18+e1^3*e3^2*e18^3+3*e3^2*e9^3*e18^3, 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, 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, 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, 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, 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, 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, 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, e2^3*e9^3-e1^2*e2^2*e9*e18-3*e1*e2*e9^2*e18^2+e1^3*e18^3, e2^3*e3*e9-e1^3*e6*e9-3*e1*e2*e3*e18^2, 3*e1*e2*e6*e9^2-2*e2^3*e3*e18-e1^3*e6*e18, e1*e6*e9^3-e2^2*e3*e9*e18+e1*e3*e18^3, e2*e6*e9^3-e1^2*e6*e9*e18-2*e2*e3*e18^3];