DegreesAndMultiplicitiesC6ad_1mod4 := [
[1, 2],
[Phi4*Phi12, 1],
[1/2*q*Phi1^2*Phi3*Phi5*Phi6, 2],
[1/2*q*Phi4*Phi10*Phi12, 2],
[1/2*q*Phi4*Phi5*Phi12, 2],
[1/2*q*Phi2^2*Phi3*Phi6*Phi10, 2],
[Phi1*Phi3*Phi4*Phi6*Phi12, 1/2*q-1/2],
[Phi2*Phi3*Phi4*Phi6*Phi12, 1/2*q-3/2],
[Phi2*Phi3*Phi4*Phi6*Phi10*Phi12, 1],
[q*Phi3*Phi4*Phi6*Phi8*Phi12, 1],
[Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi12, 1/4*q-1/4],
[Phi1*Phi2*Phi3*Phi4*Phi6*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi4*Phi5*Phi10*Phi12, 1],
[q*Phi2*Phi3*Phi4*Phi6*Phi10*Phi12, 1],
[Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi12, 1/4*q-1/4],
[Phi2^2*Phi3*Phi4*Phi6*Phi10*Phi12, 1/4*q-5/4],
[1/2*q^2*Phi1^2*Phi3^2*Phi5*Phi6*Phi12, 2],
[1/2*q^2*Phi2^2*Phi3*Phi6^2*Phi10*Phi12, 2],
[1/2*q^2*Phi3^2*Phi4*Phi6*Phi10*Phi12, 2],
[1/2*q^2*Phi3*Phi4*Phi5*Phi6^2*Phi12, 2],
[Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1],
[Phi1*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, q-1],
[q^3*Phi3*Phi4^2*Phi6*Phi8*Phi12, 2],
[q*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 2],
[Phi2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, q-3],
[1/2*q*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi12, 1/2*q-1/2],
[1/2*q*Phi1*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^4*Phi1^2*Phi2^2*Phi3*Phi5*Phi6*Phi10, 2],
[1/2*q^4*Phi5*Phi8*Phi10*Phi12, 2],
[1/2*q*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi12, 1/2*q-3/2],
[1/2*q*Phi1*Phi2^2*Phi3*Phi4^2*Phi6*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi12, 1/2*q-1/2],
[1/2*q*Phi2*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^4*Phi4^2*Phi5*Phi10*Phi12, 2],
[1/2*q^4*Phi3*Phi5*Phi6*Phi8*Phi10, 2],
[1/2*q*Phi2^3*Phi3*Phi4^2*Phi6*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi12, 1/2*q-3/2],
[Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[q*Phi1*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, q-1],
[Phi1^2*Phi2^2*Phi3*Phi5*Phi6*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 2],
[q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, q-3],
[Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q^3*Phi1^2*Phi3*Phi4*Phi5*Phi10*Phi12, 2],
[1/2*q^3*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi3*Phi5*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi2^2*Phi4*Phi5*Phi6*Phi10*Phi12, 2],
[Phi1^3*Phi3*Phi4^2*Phi5*Phi8*Phi12, q-1],
[q^3*Phi4*Phi5*Phi8*Phi10*Phi12, 2],
[Phi2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[Phi2^3*Phi4^2*Phi6*Phi8*Phi10*Phi12, q-3],
[q*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^3*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi12, 1],
[1/2*q*Phi1^2*Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi12, 1],
[1/2*q*Phi2^2*Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi2^4*Phi3*Phi4*Phi6^2*Phi10*Phi12, 1],
[q*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[q*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi2*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1],
[q^2*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1],
[q*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-11/4],
[q*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-5/4],
[1/2*q^4*Phi1^2*Phi3^2*Phi5*Phi6*Phi10*Phi12, 2],
[1/2*q^4*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 2],
[1/2*q^4*Phi2^2*Phi3*Phi5*Phi6^2*Phi10*Phi12, 2],
[1/2*q^4*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 2],
[Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/16*(q-1)^2],
[Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[Phi1^2*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/4*q-1/4],
[q^2*Phi1*Phi2*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[Phi1^2*Phi2^2*Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/4*(q-1)^2],
[Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^6*Phi4*Phi5*Phi8*Phi10*Phi12, 1],
[q^4*Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^3*Phi2*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/4*q-1/4],
[q^2*Phi2^2*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-7/4],
[Phi2^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-5)^2],
[1/2*q^2*Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1],
[1/2*q*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^5*Phi1^2*Phi3*Phi4^2*Phi5*Phi8*Phi12, 2],
[1/2*q^5*Phi2^2*Phi4^2*Phi6*Phi8*Phi10*Phi12, 2],
[1/2*q^5*Phi3*Phi4^3*Phi8*Phi10*Phi12, 2],
[1/2*q^5*Phi4^3*Phi5*Phi6*Phi8*Phi12, 2],
[1/2*q^2*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^2*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1/2*q-3/2],
[Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/2*q-1/2],
[Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^5*Phi4^2*Phi5*Phi8*Phi10*Phi12, 2],
[q^2*Phi2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[1/2*q^4*Phi1^4*Phi3^2*Phi4*Phi5*Phi10*Phi12, 1],
[1/2*q*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, q-1],
[1/2*q*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^4*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi12, 2],
[1/2*q^6*Phi3^2*Phi6^2*Phi8*Phi10*Phi12, 2],
[1/2*q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 2],
[1/2*q^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2],
[1/2*q*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, q-3],
[1/2*q*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, q-1],
[1/2*q*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[1/2*q*Phi2^3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^6*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi10*Phi12, 2],
[1/2*q^6*Phi3^2*Phi5*Phi6^2*Phi8*Phi12, 2],
[1/2*q^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[1/2*q*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 2],
[1/2*q^4*Phi2^4*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^4*Phi3^2*Phi4*Phi5*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, q-3],
[Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/4*(q-1)*(q-4)],
[q*Phi1^3*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q^2*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/2*q-1/2],
[Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-5/4],
[q^3*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/4*(q-1)*(q-2)],
[q^2*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^6*Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[Phi1*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-2)],
[Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^6*Phi3^2*Phi5*Phi6^2*Phi10*Phi12, 2],
[q^2*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3],
[Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q+1/2],
[q*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[q^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/2*q-3/2],
[q*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q*Phi2^3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/2*q-11/2],
[Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-4)*(q-5)],
[Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, q-1],
[1/2*q^2*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q*Phi1^2*Phi2^2*Phi3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^4*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi12, 1/2*q-1/2],
[1/2*q^4*Phi1*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^3*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1],
[1/2*q^4*Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^4*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[1/2*q^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^9*Phi1^2*Phi3^2*Phi5*Phi8*Phi10, 2],
[1/2*q^9*Phi4*Phi5*Phi8*Phi10*Phi12, 4],
[1/2*q^9*Phi2^2*Phi5*Phi6^2*Phi8*Phi10, 2],
[1/2*q^2*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, q-3],
[1/2*q^2*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^2*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, q-1],
[1/2*q^2*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[1/2*q*Phi1^2*Phi2^2*Phi3^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^4*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi12, 1/2*q-3/2],
[1/2*q^4*Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q^4*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, q-3],
[1/2*q*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-1)*(q^2-5*q+12)],
[q*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(1+q)],
[q^2*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1^3*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1^2*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-5*q+10)],
[q^2*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[Phi1^2*Phi2^3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[q^6*Phi2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^5*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^2*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-2)*(1+q)],
[q^2*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-11*q+16)],
[q^3*Phi2^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-5)*(q^2-7*q+18)],
[1/2*q^3*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1],
[1/2*q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^2*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[q^6*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[q^6*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[q*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-11/4],
[1/4*q^7*Phi1^6*Phi3^2*Phi5*Phi10*Phi12, 2],
[1/4*q^7*Phi1^2*Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 4],
[1/4*q^7*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 4],
[1/4*q^7*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 4],
[1/4*q^7*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi10*Phi12, 2],
[1/4*q^7*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 2],
[1/4*q^7*Phi3*Phi4^3*Phi5*Phi6*Phi10*Phi12, 4],
[1/4*q^7*Phi2^2*Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 4],
[1/4*q^7*Phi3^2*Phi4*Phi5*Phi8*Phi10*Phi12, 4],
[1/4*q^7*Phi2^6*Phi5*Phi6^2*Phi10*Phi12, 2],
[1/2*q^3*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1^4*Phi3^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-5/4],
[1/2*q^4*Phi1^3*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^4*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1],
[1/2*q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^3*Phi1^2*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3],
[1/2*q*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^7*Phi1^4*Phi3^2*Phi4*Phi5*Phi8*Phi12, 1],
[1/2*q^3*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*q-5/4],
[1/2*q*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^4*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[1/2*q^3*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q+7/4],
[1/2*q^3*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 5/2*q-5/2],
[1/2*q^4*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^4*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3],
[1/2*q^7*Phi4^3*Phi5*Phi6^2*Phi8*Phi12, 1],
[1/2*q^2*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-2],
[1/2*q*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q^2*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^4*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 6],
[1/2*q^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-2],
[1/2*q*Phi2^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^4*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^7*Phi2^4*Phi4*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-5/4],
[1/2*q^4*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^4*Phi2^3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^3*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q+3/4],
[1/2*q*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-2],
[1/2*q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/2*q-17/2],
[1/2*q^7*Phi3^2*Phi4^3*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3],
[1/2*q^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-5/4],
[1/2*q^3*Phi2^2*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3],
[1/2*q^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-2],
[1/2*q*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-2],
[1/2*q*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^3*Phi1*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi2^4*Phi3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^4*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[1/2*q^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q+3)*(q-1)],
[q*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi12, 1/2*q-1/2],
[Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(19*q-59)],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi12, q-1],
[q*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-5/4],
[Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q-11)],
[q*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[q^2*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-9/4],
[q*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[q^2*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[q*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(3*q-1)*(q-1)],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(3*q-7)],
[q*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^6*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12, 1],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-3)],
[q*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^7*Phi4^3*Phi5*Phi8*Phi10*Phi12, 2],
[q^5*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^2*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-33/4],
[q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2*q-6],
[q^2*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-11/4],
[Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)^2],
[q*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-5)],
[q^2*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, q-3],
[q*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[q*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 19/16*q^2-81/8*q+351/16],
[q*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-5)^2],
[1/2*q^2*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^5*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^5*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^3*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^2*Phi1^4*Phi2^2*Phi3^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^2*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^2*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(3*q-1)*(q-1)],
[1/2*q^4*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^10*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi12, 2],
[1/2*q^3*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^10*Phi3^2*Phi6^2*Phi8*Phi10*Phi12, 2],
[1/2*q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^2*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q^4*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^3*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^5*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^5*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^5*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^5*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^3*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[1/2*q*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[1/2*q^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^2*Phi1^2*Phi2^4*Phi3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^2*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/8*q^2-q+13/8],
[1/2*q^2*Phi1*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^10*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi10*Phi12, 2],
[1/2*q^10*Phi3^2*Phi5*Phi6^2*Phi8*Phi12, 2],
[1/2*q^4*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[1/2*q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[1/2*q^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[1/2*q^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi12, 1/4*(q-1)*(q-4)],
[Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-1)*(7*q^2-56*q+129)],
[Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-1)*(q-3)],
[Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)^2],
[Phi1^4*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-5)],
[q^2*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi12, 1/2*q-1/2],
[q^3*Phi1^3*Phi3*Phi4^3*Phi5*Phi8*Phi10*Phi12, q-1],
[q*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(q-1)*(5*q-13)],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/16*(q-1)^2],
[q^4*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-5)],
[q*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q-11)],
[Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q-17)],
[Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(1+q)*(q-1)^2],
[Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(1+q)*(q-1)^2],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 5/4*q-5/4],
[q*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi12, 1/4*(q-1)*(q-2)],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/32*(q-1)*(11*q^2-42*q+47)],
[q^4*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-5/4],
[q^3*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(5*q^2-22*q+33)],
[q^4*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 9/4*q-9/4],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-9/4],
[q^2*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*q-3/4],
[Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[q*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q-3/2],
[Phi1^5*Phi2^5*Phi3^2*Phi5*Phi6^2*Phi8*Phi10, 1/4*(q-1)*(1+q)],
[Phi1^3*Phi2^3*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/8*(q-1)*(1+q)],
[Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[q^2*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*(q-1)*(2*q^2+5*q-9)],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/8*(q-1)*(1+q)],
[q*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[Phi1^2*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(7*q-5)*(q-1)],
[q^12*Phi4*Phi5*Phi8*Phi10*Phi12, 1],
[q^10*Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[q^9*Phi2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(5*q-11)],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*(q-1)^2],
[Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^4*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^2*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*(q-1)*(q-3)],
[q^10*Phi3^2*Phi5*Phi6^2*Phi10*Phi12, 2],
[q^8*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^7*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12, 1],
[q^6*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 6],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*(q-1)*(q-3)],
[q^5*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*(q-1)*(q-3)],
[q^8*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1],
[q^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[q^4*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(1+q)],
[Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-3)*(1+q)],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/32*(q-1)*(5*q^2-32*q+43)],
[q^4*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi12, 1/4*q-1/4],
[q^6*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q*Phi1*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-2)],
[Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(11*q^2-64*q+101)],
[q^4*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[q^3*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[q^5*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-29/4],
[q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 11/4*q-39/4],
[q^3*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[q*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q-9/2],
[Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[Phi1*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-5)],
[q^2*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[q^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-5)^2],
[q^3*Phi2^3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[q^2*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 15/16*q^2-61/8*q+251/16],
[Phi2^4*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-5)^2],
[Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(5*q-17)*(q-5)],
[Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-1)*(q-9)],
[q*Phi2^5*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-4)*(q-5)],
[Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-5)*(7*q^2-70*q+183)],
[1/2*q^2*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^2*Phi1^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^6*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^6*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^4*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, q-1],
[1/2*q^2*Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^2*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^4*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2*q-2],
[1/2*q*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^4*Phi1*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, q-1],
[1/2*q^11*Phi1^2*Phi3*Phi4^2*Phi5*Phi8*Phi12, 2],
[1/2*q^4*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^5*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 2],
[1/2*q^11*Phi2^2*Phi4^2*Phi6*Phi8*Phi10*Phi12, 2],
[1/2*q^6*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^6*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^6*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^6*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^11*Phi3*Phi4^3*Phi8*Phi10*Phi12, 2],
[1/2*q^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 4],
[1/2*q^11*Phi4^3*Phi5*Phi6*Phi8*Phi12, 2],
[1/2*q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 2],
[1/2*q^4*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, q-3],
[1/2*q^2*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^4*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2*q-6],
[1/2*q^2*Phi2^3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, q-3],
[1/2*q^4*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^6*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^6*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^2*Phi2^5*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-4)],
[Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q^2-8*q+19)],
[Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)^2],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^3*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-5/4],
[Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(3*q-11)],
[q^3*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[q*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q-13)],
[Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(1+q)*(q-1)^2],
[q*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[q^5*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^5*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^2*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-22*q+25)],
[q^4*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[q*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[q^4*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[q^2*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 7/4*q-7/4],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[q^3*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[q^11*Phi4^2*Phi5*Phi8*Phi10*Phi12, 2],
[q^3*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^9*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^6*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/8*(q-1)*(q-3)],
[q^3*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(3*q-8)],
[q^7*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2],
[Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(3*q-13)],
[q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[q^5*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(1+q)],
[q^5*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[q^5*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q^2*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-32*q+47)],
[q^6*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^4*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-2],
[q^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q^2*Phi2^3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q^4*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[q^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 7/4*q-23/4],
[q*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*q-15/4],
[Phi1*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-5)],
[q^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[q^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/8*q^2-17/4*q+61/8],
[Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/8*(q-5)^2],
[q*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-4)*(q-5)],
[Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)^3],
[1/4*q^4*Phi1^6*Phi3^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/4*q^4*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[1/4*q^4*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/4*q^4*Phi1^4*Phi2^2*Phi3^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/4*q^4*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/4*q^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2],
[1/4*q^4*Phi1^2*Phi2^4*Phi3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/4*q^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/4*q^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[1/4*q^4*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2],
[1/4*q^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/4*q^4*Phi2^6*Phi3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^5*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[1/2*q*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-1)*(q^2+7*q-36)],
[1/2*q^2*Phi1^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-5/4],
[1/2*q*Phi1^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(q^2-5*q+12)],
[1/2*q^7*Phi1^3*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q*Phi1^5*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(1+q)],
[1/2*q^10*Phi1^4*Phi3^2*Phi4*Phi5*Phi10*Phi12, 1],
[1/2*q^7*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1],
[1/2*q^3*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q^4*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^4*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, q-1],
[1/2*q*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(3*q+2)*(q-1)^2],
[1/2*q^2*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(7*q^2+13*q-12)],
[1/2*q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^4*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^3*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*q-3/4],
[1/2*q^10*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-1)*(q^2+19*q-84)],
[1/2*q^4*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/2*q-5/2],
[1/2*q*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-5*q+6)],
[1/2*q^4*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^3*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q^9*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi12, 1/2*q-1/2],
[1/2*q^12*Phi1^2*Phi3^2*Phi5*Phi6*Phi10*Phi12, 2],
[1/2*q^5*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, q-1],
[1/2*q^7*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^9*Phi1*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q^2*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q*Phi1^2*Phi2^3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q^9*Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^7*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^5*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2*q-2],
[1/2*q^9*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[1/2*q^12*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 2],
[1/2*q^7*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^2*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^6*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^5*Phi1*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, q-1],
[1/2*q*Phi1*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^4*Phi1^4*Phi2^4*Phi3^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q*Phi1^4*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-2)*(1+q)],
[1/2*q*Phi1^3*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(1+q)],
[1/2*q^3*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^4*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^16*Phi1^2*Phi2^2*Phi3*Phi5*Phi6*Phi10, 2],
[1/2*q^4*Phi1^2*Phi2^2*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(1+q)],
[1/2*q^16*Phi5*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-5*q-4)],
[1/2*q^5*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^6*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^4*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 2*q-6],
[1/2*q^2*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/2*q-11/2],
[1/2*q*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/16*q^3-1/2*q^2-27/16*q+39/8],
[1/2*q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-2],
[1/2*q^4*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^16*Phi4^2*Phi5*Phi10*Phi12, 2],
[1/2*q^4*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, (q-1)*(q-2)],
[1/2*q^16*Phi3*Phi5*Phi6*Phi8*Phi10, 2],
[1/2*q^3*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^7*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^4*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, q-1],
[1/2*q*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2+3*q-10)],
[1/2*q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^6*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2],
[1/2*q*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-3*q-4)],
[1/2*q^5*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^4*Phi2^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-5],
[1/2*q^3*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^4*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^7*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^3*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-4],
[1/2*q^6*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q*Phi1^3*Phi2^4*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q*Phi1^2*Phi2^5*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q^9*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi12, 1/2*q-3/2],
[1/2*q^5*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, q-3],
[1/2*q^7*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^12*Phi2^2*Phi3*Phi5*Phi6^2*Phi10*Phi12, 2],
[1/2*q^9*Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^7*Phi2^3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q*Phi1^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q^2*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^6*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^12*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 2],
[1/2*q^9*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^7*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-2],
[1/2*q^5*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2*q-6],
[1/2*q^9*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^6*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q^5*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, q-3],
[1/2*q*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[1/2*q*Phi1^2*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-2)*(1+q)],
[1/2*q^4*Phi1^2*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q^3*Phi1*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^10*Phi2^4*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 7/48*q^3-1/4*q^2+11/48*q-9/8],
[1/2*q^2*Phi1*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(3*q-4)*(q-1)^2],
[1/2*q^5*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^4*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-5],
[1/2*q^10*Phi3^2*Phi4*Phi5*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[1/2*q^7*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[1/2*q^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[1/2*q*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-11*q+12)],
[1/2*q^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^4*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-5],
[1/2*q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/2*q-17/2],
[1/2*q*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-5)*(q^2+17*q-78)],
[1/2*q^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-4],
[1/2*q^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q^7*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q^3*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*q-11/4],
[1/2*q^2*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[1/2*q*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-5)*(q^2+5*q-30)],
[1/2*q*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-5)*(q^2-7*q+18)],
[Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-1)*(q-5)*(q^2-6*q+21)],
[q^4*Phi1^6*Phi3^2*Phi4^3*Phi5*Phi8*Phi12, q-1],
[q*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-5)],
[q^2*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(q-1)*(q^2-8*q+19)],
[q*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q^2+7*q-24)],
[Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(1+q)*(q-1)^3],
[q*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)^2],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(2*q^3-8*q^2+23*q-33)],
[q^6*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^4*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[q*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-10)],
[q^3*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(9*q-13)],
[Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/24*(q-1)*(1+q)*(2*q^2+3*q-3)],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(1+q)],
[Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q^2*(q-1)*(1+q)],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q*(q-1)],
[q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-5/4],
[q*Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^6*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(2*q^2-9*q+12)],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2+q-34)],
[q^5*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-14*q+23)],
[q^2*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-5/4],
[q^5*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[q^3*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-5/4],
[q^2*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1^4*Phi2^4*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(q+3)*(q-3)*(1+q)],
[q^2*Phi1^3*Phi2^3*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/8*(q-1)*(1+q)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-1)*(1+q)*(1+q^2)],
[Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)*(2*q^2-2*q-1)],
[q^4*Phi1^2*Phi2^2*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(7*q-5)*(q-1)],
[q^12*Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(q-1)*(7*q^3-25*q^2+49*q-63)],
[q^6*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^4*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^3*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[q*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*(q-1)*(q-3)],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(5*q-11)],
[q^6*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[q*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-13)],
[q^5*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(2*q-7)],
[q^6*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-2)*(1+q)],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-2)*(1+q)],
[Phi1^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*(q-1)*(1+q)*(2*q^2-q-9)],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q*Phi1^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q*(q-1)],
[q^6*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q-11)*(q-3)],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-9*q-32)],
[q^7*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^5*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-2],
[Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(2*q^2-13*q+22)],
[q^5*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[q^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-21/4],
[q^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 7/4*q-27/4],
[Phi1^2*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(1+q)*(q-3)^2],
[q^2*Phi1*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[q*Phi1*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(2*q^3-16*q^2+51*q-69)],
[q^6*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(1+q)*(q-5)],
[q^3*Phi2^3*Phi3^2*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/16*q^2-21/8*q+65/16],
[q*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(3*q-14)*(q-5)],
[Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-4)*(q-5)],
[q^4*Phi2^6*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, q-3],
[q^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[q*Phi2^5*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-5)^2],
[q*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*q^3-51/16*q+73/8],
[Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)*(3*q^2-30*q+83)],
[Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q^2-10*q+33)*(q-5)^2],
[1/2*q^3*Phi1^6*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[1/2*q^4*Phi1^5*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[1/2*q*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)^2],
[1/2*q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q-17)],
[1/2*q^3*Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[1/2*q^7*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^7*Phi1^4*Phi3^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-5/4],
[1/2*q^3*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[1/2*q^7*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q-3/2],
[1/2*q^3*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[1/2*q*Phi1^5*Phi2^3*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/8*(q-1)*(1+q)],
[1/2*q^13*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi12, 1],
[1/2*q^8*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1],
[1/2*q^4*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(7*q-5)*(q-1)],
[1/2*q^6*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^7*Phi1^2*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3],
[1/2*q^4*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(7*q-19)],
[1/2*q^4*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*q-3/4],
[1/2*q^6*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q-17)],
[1/2*q^4*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^7*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*q-5/4],
[1/2*q^3*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-5)^2],
[1/2*q^3*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^15*Phi1^2*Phi3*Phi4*Phi5*Phi10*Phi12, 2],
[1/2*q^15*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[1/2*q^7*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q+7/4],
[1/2*q^6*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/8*q^2+1/4*q-31/8],
[1/2*q^7*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^9*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1],
[1/2*q^2*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q-9/2],
[1/2*q^9*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q+35)*(q-1)],
[1/2*q^7*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[1/2*q^7*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3],
[1/2*q^6*Phi2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi1*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3*q-3],
[1/2*q^4*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(11*q+7)*(q-1)],
[1/2*q^4*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^6*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q^6*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^4*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-2],
[1/2*q^13*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 19/8*q^2-7*q+61/8],
[1/2*q^4*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^13*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi12, 1],
[1/2*q^8*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^6*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^7*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 6],
[1/2*q^6*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[1/2*q^4*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-3)],
[1/2*q^8*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^4*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-4],
[1/2*q^3*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^7*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[1/2*q^15*Phi3*Phi5*Phi8*Phi10*Phi12, 2],
[1/2*q^15*Phi2^2*Phi4*Phi5*Phi6*Phi10*Phi12, 2],
[1/2*q^3*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(5*q+7)*(q-1)],
[1/2*q^7*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^3*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^7*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q+3/4],
[1/2*q^6*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^9*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q-3/2],
[1/2*q^9*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^7*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[1/2*q^7*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3],
[1/2*q^6*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-5/4],
[1/2*q^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*q^2+15/8*q-111/16],
[1/2*q^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3*q-9],
[1/2*q*Phi1^3*Phi2^5*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/8*(q-1)*(1+q)],
[1/2*q*Phi1^2*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(7*q-5)*(q-1)],
[1/2*q^13*Phi2^4*Phi3*Phi4*Phi6^2*Phi10*Phi12, 1],
[1/2*q^4*Phi1*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^7*Phi2^2*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3],
[1/2*q^6*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[1/2*q^4*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[1/2*q^8*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(7*q-23)],
[1/2*q^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[1/2*q^6*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-4],
[1/2*q*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(5*q-17)*(q-5)],
[1/2*q^3*Phi1^2*Phi2^6*Phi3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[1/2*q^7*Phi1*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^7*Phi2^4*Phi3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^7*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[1/2*q^3*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[1/2*q^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q-9/2],
[1/2*q^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-5)^2],
[1/2*q*Phi1*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[1/2*q^4*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*q-11/4],
[1/2*q*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(5*q-17)*(q-5)],
[1/2*q^3*Phi2^6*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)^2],
[Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-5)*(q^2-7*q+24)],
[q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-1)*(7*q^2-56*q+129)],
[q*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)^2],
[Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-5)*(q-1)*(2*q-3)],
[q*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-18*q+35)],
[q^3*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi12, 1/4*(q-1)*(q-4)],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(q^2+40*q-117)],
[Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-5)*(q-1)*(7*q-24)],
[Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(1+q)*(q-2)*(q-1)^2],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(1+q)*(q-1)^2],
[q^2*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[q^3*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-4)],
[Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/32*(q-1)*(3*q^3-16*q^2+37*q-32)],
[q^6*Phi1^3*Phi3*Phi4^3*Phi5*Phi8*Phi10*Phi12, q-1],
[q^4*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[q^3*Phi1^3*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(17*q^2-55*q+30)],
[q^5*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-5/4],
[Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-5)*(q^2-3*q+6)],
[q^2*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(21*q-53)],
[q^4*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi12, 1/2*q-1/2],
[q^5*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[q^2*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q-11)],
[q*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, (q-1)*(q-3)],
[Phi1^4*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(1+q)*(q-1)^2],
[Phi1^5*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/12*q*(1+q)*(q-1)^2],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/24*(q-1)*(5*q^2+5*q-12)],
[Phi1^4*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(1+q)*(q-1)^2],
[q^2*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)^2],
[q*Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[q^6*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 5/4*q-5/4],
[q^3*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^9*Phi1^2*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(12*q^2-25*q+17)],
[q^6*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^4*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^10*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(4*q^2-15*q+15)],
[q^5*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^3*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi12, 1/4*(q-1)*(q-2)],
[q^6*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2+18*q-53)],
[q^10*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/2*q-1/2],
[q^6*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-9/4],
[q*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-14*q+23)],
[q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/2*q-3/2],
[Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(9*q^2-49*q+72)],
[q^6*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[q^4*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-5/4],
[q^3*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[Phi1^5*Phi2^4*Phi3*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(1+q)],
[Phi1^4*Phi2^5*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(1+q)],
[Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-1)*(1+q)*(3*q^2-5*q+6)],
[q*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q+2)*(1+q)],
[Phi1^3*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*q*(3*q-5)*(q-1)*(1+q)],
[q^2*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*(q-1)*(q+3)*(2*q-1)],
[q^5*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[q^15*Phi4*Phi5*Phi8*Phi10*Phi12, 2],
[q^2*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*(q-1)*(q+3)*(2*q-1)],
[Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-1)*(9*q^3-40*q^2+107*q-84)],
[q^4*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[q^3*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-11*q+14)],
[q^17*Phi3*Phi4^2*Phi6*Phi8*Phi12, 2],
[q^12*Phi2*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1],
[q^5*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-2)*(9*q^2-22*q+45)],
[q^4*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[q^8*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(13*q-33)],
[q^5*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^3*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, (q-1)*(q-2)],
[q^2*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(13*q-45)],
[q*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, (q-1)*(2*q-7)],
[q^7*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[Phi1^3*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)*(1+q)],
[q*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[Phi1^3*Phi2^4*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-3)*(1+q)],
[q^2*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(1+q)*(q-1)^2],
[q*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*(q-1)*(q-2)*(5*q+9)],
[Phi1^2*Phi2^5*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-3)*(1+q)],
[Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(12*q^2-49*q+33)],
[q^6*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^4*Phi1*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^10*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q+1/2],
[q^3*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^9*Phi2^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q^6*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q-11)*(q-3)],
[q^6*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1*Phi2^3*Phi3^2*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-2)],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2+12*q-67)],
[q^10*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/2*q-3/2],
[q^6*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-29/4],
[q*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(4*q^2-23*q+31)],
[q^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(9*q^2-67*q+134)],
[q^6*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[q^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-21/4],
[q^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/2*q-17/2],
[q*Phi1^2*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-3)*(1+q)],
[Phi1^2*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(q-4)*(1+q)],
[q^2*Phi1*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[Phi1^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-1)*(q-3)*(q-4)],
[q^3*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(17*q^2-91*q+102)],
[q^5*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[Phi1*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(q-2)*(3*q^2-22*q+43)],
[q^6*Phi2^3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[q^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(1+q)*(q-5)],
[q^3*Phi2^4*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-4)*(q-5)],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-5)],
[q^5*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q^4*Phi2^3*Phi3^2*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q^2-2*q+7/2],
[q^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 21/16*q^2-87/8*q+361/16],
[q*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, (q-4)*(q-5)],
[q*Phi1*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-5)],
[Phi1*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(2*q-15)*(q-5)],
[q^3*Phi2^4*Phi3^2*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-4)*(q-5)],
[q^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*q^3+11/16*q^2-325/48*q+241/16],
[q*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)*(3*q^2-24*q+53)],
[Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-5)*(7*q^2-73*q+198)],
[q*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-5)*(7*q^2-70*q+183)],
[Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-6)*(q^2-10*q+33)],
[1/2*q^2*Phi1^6*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-4)],
[1/2*q*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q^2-8*q+19)],
[1/2*q^4*Phi1^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-5/4],
[1/2*q^2*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q-17)],
[1/2*q*Phi1^5*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(1+q)*(q-1)^2],
[1/2*q^5*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-2)],
[1/2*q^6*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^4*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-22*q+25)],
[1/2*q^2*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-4)],
[1/2*q^5*Phi1^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q-3/2],
[1/2*q^6*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q^2-8*q+19)],
[1/2*q^4*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^2*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^7*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^4*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^9*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, q-1],
[1/2*q^5*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-3)],
[1/2*q^8*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^9*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^4*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/2*q-5/2],
[1/2*q^7*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^2*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(5*q-17)],
[1/2*q^5*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^6*Phi1^4*Phi2^2*Phi3^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^11*Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^4*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(1+q)],
[1/2*q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-4)],
[1/2*q^6*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^5*Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-2)],
[1/2*q^6*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(3*q-1)*(q-1)],
[1/2*q^4*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^8*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q^2-20*q+31)],
[1/2*q^11*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^4*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^5*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^10*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 2],
[1/2*q^6*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q-9/2],
[1/2*q^6*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^10*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2],
[1/2*q^4*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^11*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q^2-22*q+25)],
[1/2*q^4*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^8*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3*q-3],
[1/2*q^18*Phi1^2*Phi3^2*Phi5*Phi6*Phi12, 2],
[1/2*q^18*Phi2^2*Phi3*Phi6^2*Phi10*Phi12, 2],
[1/2*q^7*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-2],
[1/2*q^4*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/2*q-11/2],
[1/2*q^7*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^9*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, q-3],
[1/2*q^5*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^18*Phi3^2*Phi4*Phi6*Phi10*Phi12, 2],
[1/2*q^9*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 7/4*q^2-8*q+49/4],
[1/2*q^9*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, q-1],
[1/2*q^18*Phi3*Phi4*Phi5*Phi6^2*Phi12, 2],
[1/2*q^5*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^9*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[1/2*q^7*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^4*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^7*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-2],
[1/2*q^5*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3*(q-1)*(q-3)],
[1/2*q^8*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[1/2*q^5*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^6*Phi1^2*Phi2^4*Phi3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^11*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi1^3*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(1+q)*(q-1)^2],
[1/2*q^2*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-2)],
[1/2*q^6*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/8*q^2-q+13/8],
[1/2*q^5*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^2*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-4)*(q-5)],
[1/2*q^6*Phi1*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^4*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(5*q^2-12*q+23)],
[1/2*q^11*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q^4*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^8*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^6*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^10*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q-3/2],
[1/2*q^2*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^10*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 2],
[1/2*q^6*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q^5*Phi2^3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^4*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^8*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^11*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q^2-32*q+47)],
[1/2*q^4*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3*q-9],
[1/2*q^2*Phi1^2*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^4*Phi1*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^7*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-2],
[1/2*q^9*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q^2*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-3)],
[1/2*q^8*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^9*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, q-3],
[1/2*q^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^7*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-2],
[1/2*q^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/2*q-17/2],
[1/2*q^5*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(5*q-17)*(q-5)],
[1/2*q*Phi1^2*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(1+q)],
[1/2*q^2*Phi1*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-2)],
[1/2*q^6*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q^5*Phi2^5*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q*Phi1*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-32*q+47)],
[1/2*q^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q^5*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q-9/2],
[1/2*q^2*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-4)*(q-5)],
[1/2*q^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-5)^3],
[1/2*q^4*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[1/2*q^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(5*q-17)*(q-5)],
[1/2*q^2*Phi2^6*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-4)*(q-5)],
[1/2*q*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)^3],
[q^2*Phi1^6*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-5)],
[Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(q-5)*(q-9)*(q-1)^2],
[q*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(q-1)*(q^2-8*q+19)],
[Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/256*(q-1)*(q-5)*(7*q^2-62*q+175)],
[q^4*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-5)*(q-1)*(2*q-3)],
[q^2*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-1)*(7*q^2+16*q-135)],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(q^2+40*q-117)],
[q^2*Phi1^3*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-1)*(q-3)],
[q*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)*(q-1)*(7*q-24)],
[Phi1^5*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/64*(1+q)*(q-3)*(q-1)^2],
[q*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(1+q)*(q-1)^2],
[q^3*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(q-1)*(31*q^3-107*q^2+69*q-9)],
[q^4*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)^2],
[q^10*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^6*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi12, 1/2*q-1/2],
[q*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(2*q^2-9*q+12)],
[q^5*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^6*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/16*(q-1)^2],
[q^7*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi12, q-1],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-5)],
[q^3*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(21*q-53)],
[Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(7*q^3-50*q^2+141*q-146)],
[q^4*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(9*q-13)],
[q^3*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q-11)],
[q^2*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-3)],
[Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/24*q*(1+q)*(q-1)^2],
[q*Phi1^4*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(1+q)*(q-1)^2],
[Phi1^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*q*(1+q)*(q-1)^2],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(1+q)*(q-1)^2],
[q^3*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)^2],
[q^9*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(1+q)*(q-1)^2],
[Phi1^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*q*(1+q)*(q-1)^2],
[q^4*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q*(q-1)],
[q^12*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/4*q-1/4],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(16*q^2-25*q+13)],
[q^7*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^12*Phi1*Phi2*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^5*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1^3*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*q*(1+q)*(q-1)^2],
[q^5*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/32*(q-1)*(11*q^2-18*q-33)],
[q^6*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 9/4*q-9/4],
[q^7*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[q^5*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2+18*q-53)],
[q^9*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^7*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-9/4],
[q^2*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(5*q^2-22*q+33)],
[q^6*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*q-3/4],
[q^4*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-5/4],
[q*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-1)*(9*q^2-49*q+72)],
[q^7*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[q^5*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 7/4*q-7/4],
[q^4*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^2*Phi1^6*Phi2^6*Phi3^2*Phi5*Phi6^2*Phi8*Phi10, 1/4*(q-1)*(1+q)],
[Phi1^5*Phi2^5*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(q-1)*(1+q)*(5*q^2-21)],
[Phi1^5*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/16*(q-1)*(1+q)*(1+q^2)],
[Phi1^4*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(1+q)*(21*q-23)*(q-1)^2],
[q^4*Phi1^3*Phi2^3*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/8*(q-1)*(1+q)],
[q*Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[q^6*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[q^2*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(1+q)],
[q^6*Phi1^2*Phi2^2*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/8*(q-1)*(1+q)],
[q*Phi1^3*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[q^3*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*(q-1)*(q+3)*(2*q-1)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/16*(q-1)*(1+q)*(1+q^2)],
[q^2*Phi1^3*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/6*(q-1)*(q^2+4*q-9)],
[Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/128*(63*q^2-102*q-65)*(q-1)^2],
[q^20*Phi4*Phi5*Phi10*Phi12, 1],
[q^4*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(7*q-5)*(q-1)],
[q^10*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^3*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*(q-1)*(q+3)*(2*q-1)],
[q^2*Phi1^2*Phi2^4*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(7*q^2-16*q+33)],
[q^6*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*(q-1)^2],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(2*q-3)],
[q^16*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 2],
[q^13*Phi2*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*(q-1)*(q-3)],
[q^10*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3],
[q*Phi1^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(7*q^2-10*q+23)],
[q^13*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1],
[q^11*Phi2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^9*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(13*q-33)],
[Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/128*(q-1)*(51*q^3-337*q^2+817*q-819)],
[q^4*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(5*q-11)],
[q^3*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(13*q-45)],
[q^2*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*(q-1)*(2*q-7)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/24*q*(q-1)*(q-3)*(1+q)],
[q*Phi1^3*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)*(1+q)],
[Phi1^3*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*q*(q-1)*(q-3)*(1+q)],
[q^2*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(1+q)],
[q^3*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(1+q)*(q-1)^2],
[q^9*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-3)*(1+q)],
[Phi1^3*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(q-3)*(1+q)],
[q^12*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/4*q-1/4],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(16*q^2-57*q+21)],
[q^7*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^12*Phi2^2*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q^5*Phi1*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^11*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[Phi1^2*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(q-3)*(1+q)],
[q^4*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q*(q-1)],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/32*(q-1)*(5*q^2-32*q+43)],
[q^6*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^7*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[q^5*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2+12*q-67)],
[q^9*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q^7*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-33/4],
[q^2*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(11*q^2-40*q-11)],
[q^6*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 11/4*q-39/4],
[q^5*Phi2^3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-1)*(9*q^2-67*q+134)],
[q^7*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-11/4],
[q^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 7/4*q-23/4],
[q^4*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 7/4*q-27/4],
[Phi1^3*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/64*(q-5)*(q-1)*(q-3)*(1+q)],
[q*Phi1^2*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(1+q)],
[Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(q-1)*(31*q^3-231*q^2+389*q+99)],
[q^4*Phi1*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[q^10*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q^3*Phi1*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[q^6*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[q^2*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-5)],
[q^7*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, q-3],
[q^6*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-5)^2],
[q*Phi1*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(2*q^2-13*q+22)],
[q^6*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-5)],
[Phi1*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(7*q^3-78*q^2+293*q-382)],
[q^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/16*q^2-21/8*q+65/16],
[q^3*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 21/16*q^2-87/8*q+361/16],
[q^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*(q-4)*(q-5)],
[q*Phi1*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(2*q-15)*(q-5)],
[q^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[q^2*Phi1*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-1)*(q-9)],
[q^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*q^3+11/16*q^2-325/48*q+241/16],
[q^2*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-5)*(7*q^2+2*q-177)],
[q*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)*(7*q^2-73*q+198)],
[Phi1*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(q-1)*(q-5)*(q-9)^2],
[q^2*Phi2^6*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-5)^2],
[q*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)*(3*q^2-30*q+83)],
[Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/256*(q-5)*(7*q^3-125*q^2+749*q-1591)],
[1/2*q*Phi1^6*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-1)*(q-5)*(q^2-6*q+21)],
[1/2*q^2*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q^2-8*q+19)],
[1/2*q*Phi1^6*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(1+q)*(q-1)^3],
[1/2*q^3*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)^2],
[1/2*q^4*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-1)*(q^2+7*q-36)],
[1/2*q*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(2*q^3-8*q^2+17*q-15)],
[1/2*q^3*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q-17)],
[1/2*q*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(q-1)*(q-5)*(q^2-6*q+21)],
[1/2*q^4*Phi1^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(q^2-5*q+12)],
[1/2*q*Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q^2*(q-1)*(1+q)],
[1/2*q^2*Phi1^5*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(1+q)*(q-1)^2],
[1/2*q*Phi1^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q^2*(q-1)*(1+q)],
[1/2*q^7*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-5/4],
[1/2*q^7*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^9*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^5*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^2*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-22*q+25)],
[1/2*q^9*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^4*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^2*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q^2-8*q+19)],
[1/2*q^5*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q*Phi1^6*Phi2^4*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(q+3)*(q-3)*(1+q)],
[1/2*q^3*Phi1^5*Phi2^3*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/8*(q-1)*(1+q)],
[1/2*q^4*Phi1^5*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(1+q)],
[1/2*q*Phi1^6*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-1)*(1+q)*(1+q^2)],
[1/2*q*Phi1^5*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)*(2*q^2-2*q-3)],
[1/2*q^6*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(7*q-5)*(q-1)],
[1/2*q^13*Phi1^2*Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^4*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(3*q+2)*(q-1)^2],
[1/2*q^16*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-1)*(67*q^3-185*q^2+129*q-171)],
[1/2*q^16*Phi1*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^4*Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(7*q^2+13*q-12)],
[1/2*q^10*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, q-1],
[1/2*q^6*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(7*q-19)],
[1/2*q^6*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^10*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^4*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-1)*(q^2+19*q-84)],
[1/2*q*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*(q-1)*(2*q^3-8*q^2+17*q-15)],
[1/2*q^7*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^4*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-5*q+6)],
[1/2*q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q-17)],
[1/2*q^6*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^4*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q*Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-2)*(1+q)],
[1/2*q^9*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^4*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q^2*Phi1^4*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(1+q)],
[1/2*q*Phi1^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-2)*(1+q)],
[1/2*q^9*Phi1^2*Phi2^2*Phi3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^7*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^25*Phi1^2*Phi3*Phi5*Phi6, 2],
[1/2*q^25*Phi4*Phi10*Phi12, 2],
[1/2*q^10*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[1/2*q*Phi1^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/6*q^2*(q-1)*(1+q)],
[1/2*q^9*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^5*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^9*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^4*Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q^2*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q^2-20*q+31)],
[1/2*q*Phi1^3*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/6*q^2*(q-1)*(1+q)],
[1/2*q^9*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[1/2*q^5*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^9*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^4*Phi1^2*Phi2^3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q^11*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1],
[1/2*q^7*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 5/2*q-5/2],
[1/2*q^4*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^7*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^11*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^10*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^5*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[1/2*q^2*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q^2-22*q+25)],
[1/2*q^5*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^4*Phi1*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[1/2*q^4*Phi1^4*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-2)*(1+q)],
[1/2*q*Phi1^4*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)*(q^2-2*q-2)],
[1/2*q^4*Phi1^3*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(1+q)],
[1/2*q^6*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(11*q+7)*(q-1)],
[1/2*q^6*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^4*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-5*q-4)],
[1/2*q*Phi1^4*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/4*(q-1)*(1+q)*(1+q^2)],
[1/2*q^16*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi12, 1/2*q-3/2],
[1/2*q^16*Phi1*Phi2^2*Phi3*Phi4^2*Phi6*Phi10*Phi12, 1/2*q-1/2],
[1/2*q*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*(q-1)*(14*q^3-12*q^2+q-45)],
[1/2*q^7*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q^16*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi12, 1/2*q-1/2],
[1/2*q^16*Phi2*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^4*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/16*q^3-1/2*q^2-27/16*q+39/8],
[1/2*q^10*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, q-3],
[1/2*q^6*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^10*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[1/2*q^3*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 19/8*q^2-7*q+61/8],
[1/2*q^13*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[1/2*q^10*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, q-1],
[1/2*q^6*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^10*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[1/2*q^7*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^4*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2+3*q-10)],
[1/2*q*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(q-3)*(7*q^2-4*q+5)],
[1/2*q^4*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-3*q-4)],
[1/2*q^7*Phi2^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^6*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^3*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-3)],
[1/2*q^6*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[1/2*q*Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q^2*(q-1)*(1+q)],
[1/2*q^9*Phi1^2*Phi2^2*Phi3^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^4*Phi1^3*Phi2^4*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q^2*Phi1^3*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(1+q)*(q-1)^2],
[1/2*q*Phi1^3*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q^2*(q-1)*(1+q)],
[1/2*q^9*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[1/2*q^4*Phi1^2*Phi2^5*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q^7*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-5/4],
[1/2*q^25*Phi4*Phi5*Phi12, 2],
[1/2*q^25*Phi2^2*Phi3*Phi6*Phi10, 2],
[1/2*q^7*Phi1*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^10*Phi2^3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^4*Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q*Phi1^3*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(q-2)*(1+q)],
[1/2*q^9*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q^5*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q^9*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^4*Phi1^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[1/2*q^2*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(5*q^2-12*q+23)],
[1/2*q*Phi1^2*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(q-2)*(1+q)],
[1/2*q^9*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^5*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^9*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q^7*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^11*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^4*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^10*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^11*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^7*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/2*q-17/2],
[1/2*q^5*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[1/2*q^2*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q^2-32*q+47)],
[1/2*q^5*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[1/2*q*Phi1^4*Phi2^6*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(q+3)*(q-3)*(1+q)],
[1/2*q^3*Phi1^3*Phi2^5*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/8*(q-1)*(1+q)],
[1/2*q*Phi1^4*Phi2^6*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-1)*(1+q)*(1+q^2)],
[1/2*q*Phi1^3*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)*(2*q^2-2*q-3)],
[1/2*q^4*Phi1^2*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-2)*(1+q)],
[1/2*q^3*Phi1^2*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(7*q-5)*(q-1)],
[1/2*q^13*Phi2^2*Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^6*Phi1*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^4*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 7/48*q^3-1/4*q^2+11/48*q-9/8],
[1/2*q^16*Phi2^3*Phi3*Phi4^2*Phi6*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 67/384*q^4-89/96*q^3+301/192*q^2-157/96*q+233/128],
[1/2*q^16*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi12, 1/2*q-3/2],
[1/2*q^4*Phi1*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(3*q-4)*(q-1)^2],
[1/2*q^7*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^6*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^10*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q^3*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(7*q-23)],
[1/2*q^10*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, q-3],
[1/2*q^6*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[1/2*q^4*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-11*q+12)],
[1/2*q*Phi1*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*(q-1)*(2*q^3-16*q^2+45*q-39)],
[1/2*q^7*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[1/2*q^4*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-5)*(q^2+17*q-78)],
[1/2*q^6*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[1/2*q^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(5*q-17)*(q-5)],
[1/2*q*Phi1^3*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-2)*(1+q)],
[1/2*q^2*Phi1^2*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(1+q)],
[1/2*q*Phi1^2*Phi2^6*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-2)*(1+q)],
[1/2*q^7*Phi1*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[1/2*q^7*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[1/2*q^9*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q^2*Phi1*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-32*q+47)],
[1/2*q^9*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[1/2*q^5*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^5*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[1/2*q^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-5)^3],
[1/2*q*Phi1^2*Phi2^6*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(1+q)*(q-3)^2],
[1/2*q^3*Phi1*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[1/2*q*Phi1*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(2*q^3-16*q^2+45*q-39)],
[1/2*q^4*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-5)*(q^2+5*q-30)],
[1/2*q^3*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(5*q-17)*(q-5)],
[1/2*q^4*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-5)*(q^2-7*q+18)],
[1/2*q*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(q^2-10*q+33)*(q-5)^2],
[1/2*q^2*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)^3],
[1/2*q*Phi2^6*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q^2-10*q+33)*(q-5)^2],
[q*Phi1^6*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-5)*(q^2-7*q+24)],
[Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3840*(q-1)*(q-5)*(6*q^3-89*q^2+476*q-1209)],
[q^2*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(q-1)*(q^2-8*q+19)],
[q^3*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-1)*(7*q^2-56*q+129)],
[q*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/128*(q-1)*(q-5)*(7*q^2-62*q+175)],
[q*Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(1+q)*(q-2)*(q-1)^2],
[q^3*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)^2],
[Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(4*q-11)*(q-3)*(1+q)*(q-1)^2],
[q^4*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-5)],
[q^6*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi12, 1/4*(q-1)*(q-4)],
[q*Phi1^5*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/32*(q-1)*(3*q^3-16*q^2+37*q-32)],
[q^5*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-4)],
[q^2*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-5)*(q-1)*(2*q-3)],
[q^3*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-18*q+35)],
[Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(q-1)*(22*q^4-207*q^3+793*q^2-1621*q+1365)],
[q^4*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q^2+7*q-24)],
[q^2*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)*(q-1)*(7*q-24)],
[q*Phi1^6*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/12*q*(1+q)*(q-1)^2],
[q^2*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(1+q)*(q-1)^2],
[q*Phi1^5*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(1+q)*(q-1)^2],
[q^3*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(1+q)*(q-1)^2],
[q^7*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1^5*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*q*(1+q)*(3*q-5)*(q-1)^2],
[q^4*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^10*Phi1^3*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(1+q)*(7*q-17)*(q-1)^2],
[q^7*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q+3)*(q-1)],
[Phi1^4*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*q*(1+q)*(3*q-5)*(q-1)^2],
[q^7*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi12, 1/2*q-1/2],
[q^2*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(2*q^2-9*q+12)],
[q^6*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(q-1)*(5*q-13)],
[q^3*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(17*q^2-55*q+30)],
[q^9*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^7*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-5/4],
[q^6*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q-11)],
[q^4*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-10)],
[q*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(7*q^3-50*q^2+141*q-146)],
[q^7*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[q^5*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q-13)],
[q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, (q-1)*(q-3)],
[Phi1^5*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(1+q)*(2*q^2+q-13)*(q-1)^2],
[q*Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(1+q)*(q-2)*(q-1)^2],
[q^2*Phi1^4*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(1+q)*(q-1)^2],
[q^3*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/24*(q-1)*(5*q^2+5*q-12)],
[Phi1^5*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/16*(q-1)*(2*q-1)*(1+q)*(1+q^2)],
[Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(q-1)*(1+q)*(16*q^3-33*q^2+16*q+9)],
[q^4*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(1+q)],
[q^3*Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[q^6*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi12, 1/4*(q-1)*(q-2)],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/32*(q-1)*(11*q^3-16*q^2+25*q-28)],
[q^10*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/2*q-1/2],
[q^5*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[q^13*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[q^4*Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^12*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(16*q^2-25*q+13)],
[q^8*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^16*Phi1*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, q-1],
[q^12*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[q*Phi1^3*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-1)*(25*q^3-8*q^2-3*q-30)],
[q^13*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(4*q^2-15*q+15)],
[q^7*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-1)*(42*q^4-251*q^3+589*q^2-921*q+765)],
[q^4*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2+q-34)],
[q^10*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^3*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-14*q+23)],
[q^7*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-1],
[q^5*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-1)*(9*q^2-49*q+72)],
[q^8*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[q^6*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q-3/2],
[Phi1^5*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/24*q*(q-1)^2*(1+q)^2],
[q*Phi1^4*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(q+3)*(q-3)*(1+q)],
[q^7*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[Phi1^4*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*q*(q-1)^2*(1+q)^2],
[q^2*Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[q^6*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[Phi1^5*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi12, 1/10*q*(q-1)*(1+q)*(1+q^2)],
[Phi1^4*Phi2^5*Phi3^2*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/10*q*(q-1)*(1+q)*(1+q^2)],
[q^3*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q+2)*(1+q)],
[q^2*Phi1^3*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[q^6*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[Phi1^4*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)*(2*q^2-5*q+1)],
[q*Phi1^4*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-1)*(1+q)*(1+q^2)],
[q*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)*(5*q^2-13*q+4)],
[q^7*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(3*q-1)*(q-1)],
[q^20*Phi2*Phi3*Phi4*Phi6*Phi10*Phi12, 1],
[q^5*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[q^21*Phi3*Phi4*Phi6*Phi8*Phi12, 1],
[Phi1^3*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)*(2*q^2-5*q+1)],
[q^2*Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(7*q^2-16*q+33)],
[q^6*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(5*q-11)],
[q^3*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-11*q+14)],
[q^9*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^17*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 2],
[q^7*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^2*Phi1^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(7*q^2-10*q+23)],
[q^6*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*(q-1)*(q-3)],
[q^14*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1],
[q^4*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*(q-1)*(q-3)],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(q-1)*(51*q^3-337*q^2+817*q-819)],
[q^7*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^5*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(3*q-8)],
[q^11*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^4*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-13)],
[q^3*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, (q-1)*(2*q-7)],
[Phi1^4*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(q-1)*(1+q)*(2*q^3-5*q^2-14*q+41)],
[q^2*Phi1^3*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)*(1+q)],
[q*Phi1^3*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*q*(q-1)*(q-3)*(1+q)],
[q^3*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[Phi1^4*Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/16*(2*q-5)*(q-1)*(1+q)*(1+q^2)],
[Phi1^3*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(q-1)*(1+q)*(16*q^3-65*q^2+52*q+45)],
[q^4*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-2)*(1+q)],
[q^3*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*(q-1)*(q-2)*(5*q+9)],
[q*Phi1^3*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 5/96*(q-1)*(q-3)*(5*q^2+3*q+4)],
[q^13*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[q^4*Phi1^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^12*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(16*q^2-57*q+21)],
[q^8*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^16*Phi2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, q-3],
[q^12*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-7/4],
[q*Phi1^2*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(11*q^3-32*q^2+3*q-30)],
[q^6*Phi1*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-2)],
[q^5*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[q^13*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-5/4],
[q^10*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q^3*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q-11)*(q-3)],
[Phi1^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-1)*(42*q^4-335*q^3+921*q^2-1117*q+969)],
[q^4*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-9*q-32)],
[q^10*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q^3*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(4*q^2-23*q+31)],
[q^7*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2*q-6],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-1)*(9*q^2-67*q+134)],
[q^8*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-11/4],
[q^6*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q-9/2],
[q^5*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*q-15/4],
[q*Phi1^3*Phi2^5*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-3)*(1+q)],
[q^3*Phi1^2*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-3)*(1+q)],
[q^2*Phi1^2*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(1+q)],
[q*Phi1^2*Phi2^6*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-3)*(1+q)],
[Phi1^3*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*q*(q-1)*(3*q-11)*(q-3)*(1+q)],
[q*Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(q-3)*(7*q-31)*(1+q)],
[q^7*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)^2],
[Phi1^2*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*q*(q-1)*(3*q-11)*(q-3)*(1+q)],
[q^4*Phi1*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^10*Phi2^3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/2*q-11/2],
[q^7*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q^6*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-5)],
[q^3*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(17*q^2-91*q+102)],
[q^9*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[q^7*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[q^2*Phi1*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(2*q^2-13*q+22)],
[q^7*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q^6*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 15/16*q^2-61/8*q+251/16],
[q*Phi1*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(7*q^3-78*q^2+293*q-382)],
[q^7*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-5)^2],
[q^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/8*q^2-17/4*q+61/8],
[q^4*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(3*q-14)*(q-5)],
[q^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, (q-4)*(q-5)],
[q*Phi1^2*Phi2^6*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(q-4)*(1+q)],
[Phi1^2*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(q-1)*(4*q-19)*(q-3)*(q-5)*(1+q)],
[q^3*Phi1*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-5)],
[q^2*Phi1*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(2*q-15)*(q-5)],
[q*Phi1*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(q-2)*(3*q^2-22*q+43)],
[q^6*Phi2^5*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-4)*(q-5)],
[q^5*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-4)*(q-5)],
[q^4*Phi2^5*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-5)^2],
[Phi1*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(q-1)*(q-5)*(22*q^3-229*q^2+788*q-885)],
[q^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*q^3-51/16*q+73/8],
[q^3*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)*(3*q^2-24*q+53)],
[q^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)*(7*q^2-73*q+198)],
[q^3*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-5)*(7*q^2-70*q+183)],
[q^2*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)*(3*q^2-30*q+83)],
[q*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/128*(q-5)*(7*q^3-125*q^2+749*q-1591)],
[q*Phi2^6*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-6)*(q^2-10*q+33)],
[Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3840*(q-5)*(q-9)*(6*q^3-101*q^2+596*q-1341)],
[Phi1^6*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/46080*(q-5)*(q-1)*(q-9)*(q^3-15*q^2+71*q-225)],
[q*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3840*(q-1)*(q-5)*(6*q^3-89*q^2+476*q-1209)],
[Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/1536*(1+q)*(q-5)*(q-1)^2*(q-3)^2],
[q^2*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(q-5)*(q-9)*(q-1)^2],
[q^3*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-5)*(q^2-7*q+24)],
[Phi1^5*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3840*(q-1)*(q-5)*(3*q^4-28*q^3+97*q^2-198*q+174)],
[q^4*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-1)*(q-5)*(q^2-6*q+21)],
[q^2*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/256*(q-1)*(q-5)*(7*q^2-62*q+175)],
[Phi1^6*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/288*q*(q-2)*(q-3)*(1+q)*(q-1)^2],
[q*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(4*q-11)*(q-3)*(1+q)*(q-1)^2],
[Phi1^5*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/288*q*(q-2)*(q-3)*(1+q)*(q-1)^2],
[q^6*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-1)*(7*q^2-56*q+129)],
[q^3*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-5)*(q-1)*(2*q-3)],
[q^9*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-1)*(q^2-5*q+12)],
[q^6*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-1)*(q-3)],
[q^4*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(q-1)*(q^2-8*q+19)],
[q*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(q-1)*(22*q^4-207*q^3+793*q^2-1621*q+1365)],
[q^5*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q^2-8*q+19)],
[q^3*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-5)*(q-1)*(7*q-24)],
[Phi1^6*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/256*(1+q)*(q^3-q^2-5*q+13)*(q-1)^2],
[q^2*Phi1^5*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/64*(1+q)*(q-3)*(q-1)^2],
[q^3*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(1+q)*(q-2)*(q-1)^2],
[Phi1^6*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/64*(1+q)*(1+q^2)*(q-1)^3],
[Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(1+q)*(5*q^3-11*q^2+8*q+12)*(q-1)^2],
[q^4*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(1+q)*(q-1)^3],
[q*Phi1^5*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*q*(1+q)*(3*q-5)*(q-1)^2],
[q^10*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/4*(q-1)*(q-4)],
[q^5*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)^2],
[q^12*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/16*(q-1)^2],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(q-1)*(31*q^3-107*q^2+69*q-9)],
[q^16*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[q^6*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)^2],
[q^12*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[q*Phi1^4*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*q*(1+q)*(3*q-5)*(q-1)^2],
[q^6*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-5)],
[q^3*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/32*(q-1)*(3*q^3-16*q^2+37*q-32)],
[q^7*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(19*q-59)],
[Phi1^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3072*(q-1)*(21*q^5-149*q^4+402*q^3-578*q^2+761*q-585)],
[q^4*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(2*q^3-8*q^2+23*q-33)],
[q^10*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^3*Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-5)*(q^2-3*q+6)],
[q^7*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q-11)],
[q^5*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(3*q-11)],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(7*q^3-50*q^2+141*q-146)],
[q^6*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q-17)],
[q^4*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[Phi1^6*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*q^2*(q-1)^2*(1+q)^2],
[q*Phi1^5*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(1+q)*(2*q^2+q-13)*(q-1)^2],
[Phi1^5*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*q^2*(q-1)^2*(1+q)^2],
[q^2*Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/24*q*(1+q)*(q-1)^2],
[q^6*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(1+q)*(q-1)^2],
[Phi1^6*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi12, 1/20*q^2*(q-1)*(1+q)*(1+q^2)],
[Phi1^5*Phi2^5*Phi3^2*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/20*q^2*(q-1)*(1+q)*(1+q^2)],
[q^3*Phi1^4*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(1+q)*(q-1)^2],
[q^9*Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(1+q)],
[q^2*Phi1^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*q*(1+q)*(q-1)^2],
[q^6*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(1+q)*(q-1)^2],
[q^3*Phi1^5*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/12*q*(1+q)*(q-1)^2],
[Phi1^5*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*q^2*(1+q)*(3*q-5)*(q-1)^2],
[q^15*Phi1^3*Phi3*Phi4^2*Phi5*Phi8*Phi12, q-1],
[q^4*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/24*(q-1)*(1+q)*(2*q^2+3*q-3)],
[q*Phi1^5*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/16*(q-1)*(2*q-1)*(1+q)*(1+q^2)],
[q^3*Phi1^4*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(1+q)*(q-1)^2],
[q^20*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi12, 1/4*q-1/4],
[q*Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(q-1)*(1+q)*(16*q^3-33*q^2+16*q+9)],
[q^25*Phi1*Phi3*Phi4*Phi6*Phi12, 1/2*q-1/2],
[q^20*Phi1*Phi2*Phi3*Phi4*Phi6*Phi10*Phi12, 1/4*q-1/4],
[q^5*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(1+q)*(q-1)^2],
[q^11*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1^4*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*q^2*(1+q)*(3*q-5)*(q-1)^2],
[q^4*Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q^2*(q-1)*(1+q)],
[q^9*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*q*(1+q)*(q-1)^2],
[q^11*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/2*q-1/2],
[q^6*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/32*(q-1)*(11*q^2-42*q+47)],
[q^12*Phi1^2*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^10*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-5/4],
[q^13*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(12*q^2-25*q+17)],
[q^9*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-5*q+10)],
[q^17*Phi1*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, q-1],
[q^13*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-3/4],
[q^2*Phi1^3*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*q*(1+q)*(q-1)^2],
[q^6*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(5*q^2-22*q+33)],
[q^10*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^4*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(2*q^2-9*q+12)],
[q^8*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-1)*(42*q^4-251*q^3+589*q^2-921*q+765)],
[q^5*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-22*q+25)],
[q^11*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^4*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-14*q+23)],
[q^8*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^6*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(9*q^2-49*q+72)],
[q^7*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1^6*Phi2^6*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-1)*(q+3)*(q-3)*(1+q)*(q^2-5)],
[q^2*Phi1^5*Phi2^5*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(q-1)*(1+q)*(5*q^2-21)],
[Phi1^6*Phi2^6*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/32*(1+q^2)*(q-1)^2*(1+q)^2],
[q^6*Phi1^5*Phi2^5*Phi3^2*Phi5*Phi6^2*Phi8*Phi10, 1/4*(q-1)*(1+q)],
[Phi1^5*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(1+q)*(3*q^3+q^2-8*q+6)*(q-1)^2],
[q^4*Phi1^4*Phi2^4*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(q+3)*(q-3)*(1+q)],
[Phi1^6*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/72*q*(q-1)*(1+q)*(q^3-q-12)],
[q^3*Phi1^5*Phi2^4*Phi3*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(1+q)],
[q*Phi1^5*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/24*q*(q-1)^2*(1+q)^2],
[Phi1^6*Phi2^6*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10, 1/12*q^2*(q-1)*(1+q)*(1+q^2)],
[q^2*Phi1^5*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/16*(q-1)*(1+q)*(1+q^2)],
[Phi1^5*Phi2^5*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/18*q*(q-1)*(1+q)*(2*q^3+q-6)],
[q^12*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[q^2*Phi1^4*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(1+q)*(21*q-23)*(q-1)^2],
[q^16*Phi1^2*Phi2^2*Phi3*Phi5*Phi6*Phi10*Phi12, 1/4*(q-1)*(1+q)],
[q^6*Phi1^3*Phi2^3*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/8*(q-1)*(1+q)],
[q^12*Phi1^2*Phi2^2*Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[q^3*Phi1^4*Phi2^5*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(1+q)],
[q*Phi1^4*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*q*(q-1)^2*(1+q)^2],
[Phi1^4*Phi2^6*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/72*q*(q-1)*(1+q)*(q^3-q-12)],
[q^6*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[q^3*Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-1)*(1+q)*(3*q^2-5*q+6)],
[q^9*Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[q^7*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[Phi1^5*Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/16*q*(q-1)*(q-2)*(1+q)*(1+q^2)],
[q*Phi1^5*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi12, 1/10*q*(q-1)*(1+q)*(1+q^2)],
[q^4*Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/8*(q-1)*(1+q)*(1+q^2)],
[q*Phi1^4*Phi2^5*Phi3^2*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/10*q*(q-1)*(1+q)*(1+q^2)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/256*(q-1)*(1+q)*(23*q^4-64*q^3+22*q^2+64*q-77)],
[q^6*Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*(q-1)*(2*q^2+5*q-9)],
[q^36, 2],
[q^30*Phi4*Phi12, 1],
[q^4*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)*(2*q^2-2*q-1)],
[q^3*Phi1^3*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*q*(3*q-5)*(q-1)*(1+q)],
[q^9*Phi1^2*Phi2^3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(1+q)],
[q^7*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(1+q)],
[q^6*Phi1^2*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)],
[q*Phi1^4*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)*(2*q^2-5*q+1)],
[q^10*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/4*(q-1)*(q-2)],
[q^5*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[q^2*Phi1^4*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/16*(q-1)*(1+q)*(1+q^2)],
[q^12*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/4*(q-1)^2],
[q^2*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/128*(63*q^2-102*q-65)*(q-1)^2],
[q^16*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^21*Phi2*Phi3*Phi4*Phi6*Phi10*Phi12, 1],
[q^6*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(7*q-5)*(q-1)],
[q^12*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^16*Phi3*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q*Phi1^3*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(1+q)*(2*q^2-5*q+1)],
[q^5*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[q^10*Phi1*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-2)],
[q^15*Phi2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^3*Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-1)*(9*q^3-40*q^2+107*q-84)],
[q^7*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(3*q-7)],
[Phi1^3*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/1152*(q-1)*(17*q^5-109*q^4+199*q^3-89*q^2+180*q-486)],
[q^6*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^4*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(q-1)*(7*q^3-25*q^2+49*q-63)],
[q^10*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^18*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1],
[q^3*Phi1^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-2)*(9*q^2-22*q+45)],
[q^7*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-3)],
[q^5*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/8*(q-1)*(q-3)],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/128*(q-1)*(51*q^3-337*q^2+817*q-819)],
[q^6*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*(q-1)*(q-3)],
[q^5*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(3*q-13)],
[q^4*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(2*q-7)],
[Phi1^5*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*q*(q-2)*(q-1)^2*(1+q)^2],
[q*Phi1^4*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(q-1)*(1+q)*(2*q^3-5*q^2-14*q+41)],
[Phi1^4*Phi2^6*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*q*(q-2)*(q-1)^2*(1+q)^2],
[q^2*Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/24*q*(q-1)*(q-3)*(1+q)],
[q^6*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(1+q)],
[Phi1^5*Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi12, 1/20*q*(q-1)*(q-2)*(1+q)*(1+q^2)],
[Phi1^4*Phi2^6*Phi3^2*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/20*q*(q-1)*(q-2)*(1+q)*(1+q^2)],
[q^3*Phi1^3*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)*(1+q)],
[q^9*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-2)*(1+q)],
[q^2*Phi1^3*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*q*(q-1)*(q-3)*(1+q)],
[q^6*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-3)*(1+q)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*q*(q-1)*(1+q)*(3*q^3-14*q^2+17*q+2)],
[q^4*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-2)*(1+q)],
[q*Phi1^4*Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/16*(2*q-5)*(q-1)*(1+q)*(1+q^2)],
[q^3*Phi1^3*Phi2^4*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-3)*(1+q)],
[q^20*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi12, 1/4*q-1/4],
[q*Phi1^3*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/64*(q-1)*(1+q)*(16*q^3-65*q^2+52*q+45)],
[q^25*Phi2*Phi3*Phi4*Phi6*Phi12, 1/2*q-3/2],
[q^20*Phi2^2*Phi3*Phi4*Phi6*Phi10*Phi12, 1/4*q-5/4],
[q^5*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(1+q)],
[q^11*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[Phi1^3*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*q*(q-1)*(1+q)*(3*q^3-14*q^2+17*q+2)],
[q^4*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*(q-1)*(1+q)*(2*q^2-q-9)],
[q^15*Phi2^3*Phi4^2*Phi6*Phi8*Phi10*Phi12, q-3],
[q^3*Phi1^2*Phi2^5*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-3)*(1+q)],
[q^2*Phi1^3*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(q-3)*(1+q)],
[q^6*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/32*(q-1)*(5*q^2-32*q+43)],
[q^10*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-1/4],
[q^13*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/4*q-1/4],
[q^3*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(12*q^2-49*q+33)],
[q^9*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q^2-11*q+16)],
[q^17*Phi2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, q-3],
[q^13*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-11/4],
[q^2*Phi1^2*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(q-3)*(1+q)],
[q^6*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(11*q^2-64*q+101)],
[q^12*Phi2^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q^11*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-5/2],
[q^10*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-17/4],
[q^9*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q^4*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-1)*(3*q-11)*(q-3)],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-1)*(42*q^4-335*q^3+921*q^2-1117*q+969)],
[q^5*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^2-32*q+47)],
[q^11*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-5/4],
[q^4*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-1)*(2*q^2-13*q+22)],
[q^8*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(9*q^2-67*q+134)],
[q^7*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^6*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-5/4],
[Phi1^4*Phi2^6*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/256*(q-1)*(q-3)*(1+q)*(q^3-3*q^2-5*q+23)],
[q^2*Phi1^3*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/64*(q-5)*(q-1)*(q-3)*(1+q)],
[Phi1^4*Phi2^6*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/64*(q-1)*(1+q)*(1+q^2)*(q-3)^2],
[Phi1^3*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(q-1)*(q-3)*(1+q)*(5*q^3-21*q^2+16*q+24)],
[q^4*Phi1^2*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(1+q)*(q-3)^2],
[q^3*Phi1^2*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(q-4)*(1+q)],
[q*Phi1^3*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*q*(q-1)*(3*q-11)*(q-3)*(1+q)],
[q^12*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[q^2*Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(q-1)*(31*q^3-231*q^2+389*q+99)],
[q^16*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q^6*Phi1*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-5)],
[q^12*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-5)^2],
[q*Phi1^2*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*q*(q-1)*(3*q-11)*(q-3)*(1+q)],
[q^5*Phi1*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-5)],
[q^10*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-4)*(q-5)],
[q^3*Phi1^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-1)*(q-3)*(q-4)],
[q^7*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-5)],
[Phi1^2*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3072*(q-1)*(21*q^5-233*q^4+918*q^3-1366*q^2+453*q-561)],
[q^4*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(2*q^3-16*q^2+51*q-69)],
[q^10*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-2*q+19/4],
[q^3*Phi1*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(q-2)*(3*q^2-22*q+43)],
[q^7*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 19/16*q^2-81/8*q+351/16],
[q^6*Phi2^4*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-5)^2],
[q^2*Phi1*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(7*q^3-78*q^2+293*q-382)],
[q^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(5*q-17)*(q-5)],
[q^5*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/8*(q-5)^2],
[q^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-4)*(q-5)],
[Phi1^3*Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/288*q*(q-1)*(q-3)*(q-4)*(q-5)*(1+q)],
[q*Phi1^2*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(q-1)*(4*q-19)*(q-3)*(q-5)*(1+q)],
[Phi1^2*Phi2^6*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/288*q*(q-1)*(q-3)*(q-4)*(q-5)*(1+q)],
[q^6*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-1)*(q-9)],
[q^3*Phi1*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-1)*(2*q-15)*(q-5)],
[q^9*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-5)*(q^2-7*q+18)],
[q^6*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-5)*(7*q^2-70*q+183)],
[q*Phi1*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(q-1)*(q-5)*(22*q^3-229*q^2+788*q-885)],
[q^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)^3],
[q^4*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-5)*(3*q^2-30*q+83)],
[q^3*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-5)*(7*q^2-73*q+198)],
[Phi1^2*Phi2^6*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/1536*(q-1)*(q-7)*(q-3)*(1+q)*(q-5)^2],
[q^2*Phi1*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(q-1)*(q-5)*(q-9)^2],
[Phi1*Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3840*(q-1)*(q-5)*(3*q^4-52*q^3+313*q^2-782*q+630)],
[q^4*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q^2-10*q+33)*(q-5)^2],
[q^3*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-6)*(q^2-10*q+33)],
[q^2*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/256*(q-5)*(7*q^3-125*q^2+749*q-1591)],
[q*Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3840*(q-5)*(q-9)*(6*q^3-101*q^2+596*q-1341)],
[Phi2^6*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/46080*(q-5)*(q-7)*(q-9)*(q-13)*(q^2-8*q+27)]
];