DegreesAndMultiplicitiesF4_9mod12 := [
[1, 1],
[Phi3*Phi6*Phi12, 1],
[1/2*q*Phi1^2*Phi3^2*Phi8, 1],
[1/2*q*Phi4*Phi8*Phi12, 2],
[1/2*q*Phi2^2*Phi6^2*Phi8, 1],
[q^2*Phi3^2*Phi6^2*Phi12, 1],
[Phi3*Phi4*Phi6*Phi8*Phi12, 1],
[1/2*q*Phi1^2*Phi3^2*Phi4*Phi6*Phi12, 1],
[1/2*q*Phi3*Phi6^2*Phi8*Phi12, 1],
[1/2*q*Phi3^2*Phi6*Phi8*Phi12, 1],
[1/2*q*Phi2^2*Phi3*Phi4*Phi6^2*Phi12, 1],
[Phi1*Phi3*Phi4*Phi6*Phi8*Phi12, q-1],
[q^3*Phi4^2*Phi8*Phi12, 2],
[q*Phi3*Phi4*Phi6*Phi8*Phi12, 1],
[Phi2*Phi3*Phi4*Phi6*Phi8*Phi12, q-3],
[Phi2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1],
[1/2*q^2*Phi1^2*Phi3^2*Phi6*Phi8*Phi12, 1],
[1/2*q^2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1],
[1/2*q^2*Phi2^2*Phi3*Phi6^2*Phi8*Phi12, 1],
[1/2*q^2*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1],
[Phi1^2*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1/4*q-1/4],
[Phi1*Phi2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q*Phi2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1],
[Phi1*Phi2*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1/4*q-1/4],
[Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-5/4],
[1/2*q*Phi1^2*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1],
[1/2*q*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1],
[1/2*q*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1],
[1/2*q*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1],
[Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[q^3*Phi3*Phi4^2*Phi6*Phi8*Phi12, 1],
[Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-3/2],
[1/24*q^4*Phi1^4*Phi6^2*Phi8*Phi12, 1],
[1/24*q^4*Phi2^4*Phi3^2*Phi8*Phi12, 1],
[1/12*q^4*Phi3^2*Phi4^2*Phi6^2*Phi8, 1],
[1/8*q^4*Phi1^4*Phi3^2*Phi8*Phi12, 1],
[1/8*q^4*Phi4^2*Phi6^2*Phi8*Phi12, 2],
[1/8*q^4*Phi2^4*Phi6^2*Phi8*Phi12, 1],
[1/8*q^4*Phi3^2*Phi4^2*Phi8*Phi12, 2],
[1/4*q^4*Phi1^4*Phi3^2*Phi4^2*Phi12, 1],
[1/4*q^4*Phi1^4*Phi2^4*Phi3^2*Phi6^2, 2],
[1/4*q^4*Phi1^2*Phi3^2*Phi4*Phi8*Phi12, 2],
[1/4*q^4*Phi1^2*Phi2^2*Phi3^2*Phi6^2*Phi8, 1],
[1/4*q^4*Phi2^2*Phi4*Phi6^2*Phi8*Phi12, 2],
[1/4*q^4*Phi2^4*Phi4^2*Phi6^2*Phi12, 1],
[1/3*q^4*Phi1^4*Phi2^4*Phi4^2*Phi8, 2],
[1/3*q^4*Phi3^2*Phi6^2*Phi8*Phi12, 1],
[1/2*q*Phi1^3*Phi3^2*Phi4*Phi6*Phi8*Phi12, q-1],
[1/2*q*Phi1*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-1],
[1/2*q^2*Phi1^2*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1],
[1/2*q^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1],
[1/2*q^4*Phi1^2*Phi2^2*Phi3^2*Phi6^2*Phi12, 1],
[1/2*q*Phi1^2*Phi2*Phi3^2*Phi4*Phi6*Phi8*Phi12, q-3],
[1/2*q*Phi1*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi12, q-1],
[1/2*q^4*Phi3^2*Phi6^2*Phi8*Phi12, 2],
[1/2*q*Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-1],
[1/2*q*Phi2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-3],
[1/2*q^4*Phi3^2*Phi4^2*Phi6^2*Phi12, 1],
[1/2*q^2*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1],
[1/2*q^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1],
[1/2*q*Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi12, q-3],
[1/2*q*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-3],
[Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(q-1)*(q-3)],
[Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-1],
[q*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[Phi1^2*Phi2^2*Phi3^2*Phi6^2*Phi8*Phi12, 1/4*(q-1)*(q+1)],
[Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*(q-1)*(q-2)],
[q^4*Phi3^2*Phi6^2*Phi8*Phi12, 1],
[q^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1],
[q*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-4],
[Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(q-3)*(q-5)],
[Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/12*(q-1)*(2*q-9)],
[q*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[Phi1^2*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12, 1/3*q*(q+1)],
[Phi1^2*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-1],
[q^2*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, q-1],
[Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/4*(q-1)*(2*q-3)],
[q^9*Phi4^2*Phi8*Phi12, 2],
[q*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*(q-1)*(2*q-3)],
[q^5*Phi3*Phi4^2*Phi6*Phi8*Phi12, 1],
[q^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 2],
[q^2*Phi2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi12, 1/3*q*(q-1)],
[Phi1*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q^2*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, q-2],
[q*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-4],
[Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*q-5/4],
[q*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-5/4],
[Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/12*(2*q-9)*(q-5)],
[1/2*q*Phi1^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[1/2*q^6*Phi1^2*Phi3^2*Phi6*Phi8*Phi12, 1],
[1/2*q^4*Phi1^2*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1],
[1/2*q*Phi1^2*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-3/2],
[1/2*q^6*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1],
[1/2*q*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, q-1],
[1/2*q^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1],
[1/2*q^6*Phi2^2*Phi3*Phi6^2*Phi8*Phi12, 1],
[1/2*q*Phi1*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[1/2*q^4*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1],
[1/2*q^6*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1],
[1/2*q^4*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1],
[1/2*q*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, q-3],
[1/2*q*Phi2^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-3/2],
[Phi1^3*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/16*(q-1)^2],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-1],
[Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 5/16*(q-1)*(q-5)],
[q*Phi1^2*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/4*q-1/4],
[q^3*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, q-1],
[q^2*Phi1*Phi2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/4*q-3/4],
[Phi1^3*Phi2^3*Phi3^2*Phi6^2*Phi8*Phi12, 1/8*(q-1)*(q+1)],
[Phi1^2*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(3*q-1)*(q-1)],
[q^10*Phi3^2*Phi6^2*Phi12, 1],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/4*(q-1)*(q-3)],
[q^4*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1],
[q^3*Phi2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1],
[q*Phi1*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/4*q-1/4],
[q^3*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, q-2],
[q^2*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*q-5/4],
[q*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/4*q-15/4],
[Phi1*Phi2^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/16*(q-1)*(q-5)],
[q*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-4],
[Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 5/16*(q-5)^2],
[1/2*q*Phi1^4*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^2*Phi1^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^4*Phi2^2*Phi3^2*Phi6^2*Phi8*Phi12, 1/4*(q-1)*(q+1)],
[1/2*q^4*Phi1^3*Phi3^2*Phi4*Phi6*Phi8*Phi12, q-1],
[1/2*q*Phi1^3*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^4*Phi1*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-1],
[1/2*q^9*Phi1^2*Phi3^2*Phi4*Phi6*Phi12, 1],
[1/2*q^5*Phi1^2*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1],
[1/2*q^2*Phi1^2*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-3/2],
[1/2*q^9*Phi3*Phi6^2*Phi8*Phi12, 1],
[1/2*q^2*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, q-1],
[1/2*q^5*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1],
[1/2*q^13*Phi1^2*Phi3^2*Phi8, 1],
[1/2*q^4*Phi1^2*Phi2*Phi3^2*Phi4*Phi6*Phi8*Phi12, q-3],
[1/2*q*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 3/4*q^2-3/2*q+7/4],
[1/2*q^13*Phi4*Phi8*Phi12, 2],
[1/2*q^4*Phi1*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi12, q-1],
[1/2*q^13*Phi2^2*Phi6^2*Phi8, 1],
[1/2*q^4*Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-1],
[1/2*q*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, (q-1)*(q-2)],
[1/2*q^4*Phi2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-3],
[1/2*q^9*Phi3^2*Phi6*Phi8*Phi12, 1],
[1/2*q^2*Phi1*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[1/2*q^9*Phi2^2*Phi3*Phi4*Phi6^2*Phi12, 1],
[1/2*q^5*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1],
[1/2*q^5*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1],
[1/2*q^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, q-3],
[1/2*q*Phi1^2*Phi2^4*Phi3^2*Phi6^2*Phi8*Phi12, 1/4*(q-1)*(q+1)],
[1/2*q*Phi1*Phi2^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^4*Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi12, q-3],
[1/2*q^4*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-3],
[1/2*q*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*(q-3)*(q-5)],
[1/2*q^2*Phi2^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-3/2],
[1/2*q*Phi2^4*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(q-3)*(q-5)],
[q*Phi1^4*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/12*(q-1)*(2*q-9)],
[Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*(q-1)*(2*q^2-21*q+63)],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-1],
[q^3*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 5/8*(q-1)*(q-5)],
[Phi1^3*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(q-1)*(2*q-1)*(q+1)],
[q*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/4*(q-1)*(2*q-3)],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-1],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/16*(q-1)*(6*q^2-23*q+29)],
[q^4*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[q^2*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/4*q-3/4],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi12, 1/3*q*(q-1)],
[q*Phi1^2*Phi2^4*Phi4^2*Phi6^2*Phi8*Phi12, 1/3*q*(q+1)],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/3*q^2*(q-1)],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*(q-1)*(q+1)],
[Phi1^2*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/3*q*(q+1)*(q-2)],
[q^3*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[q^9*Phi3*Phi4*Phi6*Phi8*Phi12, 1],
[q^6*Phi2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/2*(q-1)*(q-3)],
[Phi1^2*Phi2^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(2*q-5)*(q-1)*(q+1)],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q*Phi1*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*(q-1)*(2*q-3)],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/16*(q-1)*(6*q^2-35*q+45)],
[q^4*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[q^3*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-4],
[q^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/4*q-15/4],
[q^3*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-5/4],
[q^2*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-4],
[q*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 5/8*(q-5)^2],
[q*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/12*(2*q-9)*(q-5)],
[Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*(2*q-15)*(q-5)^2],
[Phi1^4*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/1152*(q-1)*(q-9)*(q^2-10*q+33)],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*(q-1)*(2*q^2-21*q+63)],
[Phi1^4*Phi2^4*Phi4^2*Phi6^2*Phi8*Phi12, 1/72*q*(q-2)*(q+3)*(q+1)],
[Phi1^4*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/32*(q+1)*(q-1)^3],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/16*(q-1)^2],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/12*(q-1)*(2*q-9)],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*(q-1)*(q^3-7*q^2+16*q-18)],
[q^4*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(q-1)*(q-3)],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 5/16*(q-1)*(q-5)],
[Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/18*q^2*(q-1)^2],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(q-1)*(2*q-1)*(q+1)],
[Phi1^3*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/6*q^2*(q-1)*(q+1)],
[q^3*Phi1^2*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12, 1/3*q*(q+1)],
[q^6*Phi1^2*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1/4*q-1/4],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q^9*Phi1*Phi3*Phi4*Phi6*Phi8*Phi12, q-1],
[q^6*Phi1*Phi2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q^4*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-1],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/16*(q-1)*(6*q^2-23*q+29)],
[q^5*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[q^3*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[Phi1^4*Phi2^4*Phi3^2*Phi6^2*Phi8*Phi12, 1/96*(q-1)*(q+3)*(q-3)*(q+1)],
[q^2*Phi1^3*Phi2^3*Phi3^2*Phi6^2*Phi8*Phi12, 1/8*(q-1)*(q+1)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi6^2*Phi12, 1/8*(q-1)*(q+1)*(q^2+1)],
[Phi1^3*Phi2^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*q*(q-1)*(q-2)*(q+1)],
[q^4*Phi1^2*Phi2^2*Phi3^2*Phi6^2*Phi8*Phi12, 1/4*(q-1)*(q+1)],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/3*q^2*(q-1)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi6^2*Phi8, 1/12*q^2*(q-1)*(q+1)],
[q^24, 1],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(3*q-1)*(q-1)],
[q^16*Phi3*Phi6*Phi12, 1],
[q*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/3*q*(q+1)*(q-2)],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/4*(q-1)*(2*q-3)],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/64*(q-1)*(q-3)*(5*q^2-4*q+7)],
[q^4*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*(q-1)*(q-2)],
[q^10*Phi3*Phi4*Phi6*Phi8*Phi12, 1],
[q^3*Phi1*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*(q-1)*(2*q-3)],
[q^7*Phi2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/4*(q-1)*(q-3)],
[q^3*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi12, 1/3*q*(q-1)],
[Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/6*q*(q-1)*(q-2)*(q+1)],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(2*q-5)*(q-1)*(q+1)],
[Phi1^2*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/18*q*(q-2)*(q-3)*(q+1)],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1/4*q-1/4],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q^9*Phi2*Phi3*Phi4*Phi6*Phi8*Phi12, q-3],
[q^6*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-5/4],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/16*(q-1)*(6*q^2-35*q+45)],
[q^5*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-3/2],
[q^4*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-4],
[q^3*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*q-5/4],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi8*Phi12, 1/72*q*(q-1)*(q-3)*(q+2)],
[Phi1^2*Phi2^4*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/32*(q-1)*(q+1)*(q-3)^2],
[q^2*Phi1*Phi2^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/16*(q-1)*(q-5)],
[Phi1*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*(q-1)*(q-5)*(q^2-6*q+6)],
[q^4*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/8*(q-3)*(q-5)],
[q^3*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/12*(2*q-9)*(q-5)],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 5/16*(q-5)^2],
[q*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*(2*q-15)*(q-5)^2],
[Phi2^4*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/1152*(q-5)^2*(q-9)^2]
];