DegreesAndMultiplicitiesF4_7mod12 := [
[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],
[Phi1*Phi3^2*Phi4*Phi6*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-3/4],
[Phi1*Phi2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1/4*q+1/4],
[q*Phi1*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1],
[Phi2^2*Phi4^2*Phi6^2*Phi8*Phi12, 1],
[Phi1*Phi2*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1/4*q-3/4],
[Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-3/4],
[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-2],
[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*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12, 2],
[q*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-3/2],
[Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-5],
[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*(2*q-5)*(q-3)],
[q*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-3/4],
[Phi1^2*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12, 1/3*(q+2)*(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-2],
[q^2*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, q],
[Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*q-3/4],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/2*q^2-5/4*q+5/4],
[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, 1/2*q^2-5/4*q+1/4],
[q^3*Phi2^2*Phi4^2*Phi6^2*Phi8*Phi12, 2],
[q^2*Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1],
[q^5*Phi3*Phi4^2*Phi6*Phi8*Phi12, 1],
[q^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 2],
[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-3/4],
[q^2*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, q-3],
[q*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-5],
[Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*q-3/4],
[q*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-3/4],
[Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/6*q^2-19/12*q+47/12],
[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)*(q-3)],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-2],
[Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 5/16*(q-3)^2],
[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-3/4],
[q^3*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, q],
[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-9/4],
[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],
[q^3*Phi1*Phi3^2*Phi4^2*Phi6*Phi8*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*Phi1*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-3/4],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/4*q-3/4],
[q^3*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, q-3],
[q^2*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*q-3/4],
[q*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/4*q-9/4],
[Phi1*Phi2^3*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/16*(q-3)^2],
[q^2*Phi2^4*Phi4^2*Phi6^2*Phi8*Phi12, 1],
[q*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-5],
[Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 5/16*q^2-25/8*q+121/16],
[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*(2*q-5)*(q-3)],
[Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*(2*q-11)*(q-3)^2],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, q-2],
[q^3*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-3/4],
[q*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 5/8*(q-3)^2],
[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, 1/2*q^2-5/4*q+5/4],
[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-2],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/8*q^3-29/16*q^2+13/4*q-41/16],
[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-9/4],
[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+2)*(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-1)*(q^2-2)],
[q^6*Phi1*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1],
[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*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-3/4],
[q*Phi1*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/2*q^2-5/4*q+1/4],
[q^4*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12, 2],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/16*(q-3)*(6*q^2-23*q+11)],
[q^4*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/2*q-3/2],
[q^3*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-5],
[q^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/4*q-9/4],
[q^3*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-3/4],
[q^2*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, q-5],
[q*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 5/8*q^2-25/4*q+121/8],
[q*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi12, 1/6*q^2-19/12*q+47/12],
[Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*(q-7)*(2*q^2-21*q+53)],
[Phi1^4*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/1152*(q-3)^2*(q-7)^2],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*(2*q-11)*(q-3)^2],
[Phi1^4*Phi2^4*Phi4^2*Phi6^2*Phi8*Phi12, 1/72*(q+2)*(q-1)*(q^2+q-4)],
[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)*(q-3)],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/12*(2*q-5)*(q-3)],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*(q-3)*(q^3-5*q^2+8*q-10)],
[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-3)^2],
[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+2)*(q-1)],
[q^6*Phi1^2*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1/4*q-3/4],
[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-2],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 3/8*q^3-29/16*q^2+13/4*q-41/16],
[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-3/4],
[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-1)*(q^2-2)],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12, 1/2*q^2-5/4*q+5/4],
[q^7*Phi1*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1],
[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, 1/2*q^2-5/4*q+1/4],
[q^6*Phi2^2*Phi4^2*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^2-2*q-4)*(q-1)^2],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi6*Phi8*Phi12, 1/4*q-3/4],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-3/4],
[q^9*Phi2*Phi3*Phi4*Phi6*Phi8*Phi12, q-3],
[q^6*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi12, 1/4*q-3/4],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/16*(q-3)*(6*q^2-23*q+11)],
[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-5],
[q^3*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/4*q-3/4],
[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-3)^2],
[Phi1*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*(q^2-6*q+2)*(q-3)^2],
[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, 1/6*q^2-19/12*q+47/12],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 5/16*q^2-25/8*q+121/16],
[q*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/48*(q-7)*(2*q^2-21*q+53)],
[Phi2^4*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12, 1/1152*(q^2-14*q+41)*(q-7)^2]
];