etaRelations:=[e1^14*e2^14-e1^24*e3^2*e6^2-64*e2^24*e3^2*e6^2+54*e1^19*e2*e3*e6^7+1215*e1^14*e2^2*e6^12+52488*e1*e2^7*e3^7*e6^13-46656*e2^12*e3^2*e6^14, e1^2*e2^2*e3^24-e1^7*e2^13*e3*e6^7-8*e1^2*e2^14*e6^12+3*e1^12*e3^2*e6^14-9*e3^14*e6^14+33*e1^7*e2*e3*e6^19+64*e1^2*e2^2*e6^24, e1^5*e2^14*e3-e1^15*e3^3*e6^2+8*e2^15*e6^5-18*e1^10*e2*e3^2*e6^7-81*e1^5*e2^2*e3*e6^12, e1^15*e3^5-e1^14*e2^5*e6+64*e2^15*e3^2*e6^3-63*e1^10*e2*e3^4*e6^5-648*e1^5*e2^2*e3^3*e6^10, e1^5*e3^15-e1^12*e2*e3^2*e6^5+9*e2*e3^14*e6^5-16*e1^7*e2^2*e3*e6^10-64*e1^2*e2^3*e6^15, e1^3*e2^2*e3^15-e1^10*e2^3*e3^2*e6^5-7*e1^5*e2^4*e3*e6^10-9*e1*e3^5*e6^14+8*e2^5*e6^15, e1^5*e2^9*e3^3-e1^14*e6^3-81*e1*e2^5*e3^7*e6^4+72*e2^10*e3^2*e6^5, 8*e2^14*e3^3-9*e1^10*e3^5*e6^2+e1^9*e2^5*e6^3-81*e1^5*e2*e3^4*e6^7, e1^5*e2^2*e3^10-e1^4*e2^7*e3^5*e6+e2^3*e3^9*e6^5-8*e1^3*e6^14, e2^3*e3^14-e1^7*e2^4*e3*e6^5+e1^3*e3^5*e6^9-8*e1^2*e2^5*e6^10, e2^9*e3^4-e1^9*e3*e6^3-9*e1^4*e2*e6^8, 9*e1*e2^4*e3^8-8*e2^9*e3^3*e6-e1^9*e6^4, e1*e2^3*e3^9-e2^8*e3^4*e6+e1^4*e6^9, e2^4*e3^9-e1^8*e3*e6^4-8*e1^3*e2*e6^9, e1^6*e3^6-e1^5*e2^5*e3*e6+9*e1*e2*e3^5*e6^5-8*e2^6*e6^6];