DegreesAndMultiplicitiesC6ad_3mod4 := [
[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],
[Phi1*Phi3*Phi4*Phi5*Phi6*Phi12, 1],
[q*Phi3*Phi4*Phi6*Phi8*Phi12, 1],
[Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi12, 1/4*q-3/4],
[Phi1*Phi2*Phi3*Phi4*Phi6*Phi10*Phi12, 1/4*q+1/4],
[q*Phi1*Phi3*Phi4*Phi5*Phi6*Phi12, 1],
[q^2*Phi4*Phi5*Phi10*Phi12, 1],
[Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi12, 1/4*q-3/4],
[Phi2^2*Phi3*Phi4*Phi6*Phi10*Phi12, 1/4*q-3/4],
[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],
[Phi1*Phi3*Phi4*Phi5*Phi8*Phi10*Phi12, 1],
[q^3*Phi4*Phi5*Phi8*Phi10*Phi12, 2],
[Phi2^3*Phi4^2*Phi6*Phi8*Phi10*Phi12, q-3],
[q*Phi1*Phi3^2*Phi4*Phi5*Phi6*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-3/4],
[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-5/4],
[q*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*q+1/4],
[q^2*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1],
[q^2*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1],
[q*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*q-3/4],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/4*q-3/4],
[Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-9/4],
[q*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-3/4],
[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*(1+q)*(q-3)],
[Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)^2],
[Phi1^2*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/2*q-3/2],
[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-3/4],
[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-1/4],
[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*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/4*q-3/4],
[q^2*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/4*q-3/4],
[q^2*Phi2^2*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-9/4],
[Phi2^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/16*(q-3)^2],
[Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(q-7)],
[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-3/2],
[q^2*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^2*Phi1*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1],
[q^5*Phi4^2*Phi5*Phi8*Phi10*Phi12, 2],
[q*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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*Phi1^3*Phi3^2*Phi4*Phi5*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*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 2],
[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*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6*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*Phi1*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[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-2)*(q-3)],
[q*Phi1^3*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 3/2*q-5/2],
[q^2*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-q+7/4],
[q*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/2*q-3/2],
[Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-7/4],
[q^3*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q+3/2],
[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-3/2],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/4*q^2-3/4*q+1],
[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*(q-3)],
[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-3/4],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[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-3/2],
[q^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q*Phi2^3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/2*q-9/2],
[Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-6)],
[Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[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-3)*(q^2-3*q+8)],
[q*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-q+7/4],
[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-3/4],
[q^3*Phi1^2*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*q^3-1/2*q^2+15/16*q-3/8],
[q^2*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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*Phi1*Phi3*Phi4*Phi5*Phi8*Phi10*Phi12, 1],
[q^2*Phi1*Phi3^2*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],
[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-3/4],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(3*q-5)*(q^2-3*q+4)],
[q^3*Phi2^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2-9*q+26)],
[1/2*q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1*Phi3*Phi4*Phi5*Phi6^2*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*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1],
[1/2*q^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 2],
[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*Phi1*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*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, q-1],
[q*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-5/4],
[q^3*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^6*Phi3*Phi4*Phi5*Phi6*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-3/4],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-9/4],
[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-7/4],
[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-3/4],
[1/2*q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q],
[1/2*q^3*Phi1^2*Phi3^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3],
[1/2*q^4*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q],
[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-3/4],
[1/2*q^4*Phi1^3*Phi3^2*Phi4*Phi5*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[1/2*q^4*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[1/2*q^3*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q+5/4],
[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-7/2],
[1/2*q^4*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q],
[1/2*q*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q+1/2],
[1/2*q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1/4*q-3/4],
[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-3],
[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],
[1/2*q^4*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q],
[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-3],
[1/2*q*Phi2^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^4*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-3/4],
[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-7/4],
[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^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+5/4],
[1/2*q^4*Phi1*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/2*q-15/2],
[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-3/4],
[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-3/4],
[1/2*q^4*Phi1*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1],
[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-3],
[1/2*q*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^3*Phi1*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-3/4],
[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-3/4],
[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-15/4],
[1/2*q^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(1+q)^2],
[q*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi12, 1/2*q-3/2],
[Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 19/16*q^2-43/8*q+103/16],
[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-7/4],
[Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(1+q)*(q-3)],
[q*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)^2],
[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, 2*q-2],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q+1/4],
[q^4*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^2*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-15/4],
[q^2*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-5/4],
[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, 3/2*q^2-6*q+11/2],
[q^6*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi12, 1],
[q*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q^2-5*q+5/2],
[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-3/4],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-3/4],
[q^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-27/4],
[q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[q^2*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-9/4],
[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*(1+q)*(q-3)],
[q*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q-17)],
[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-15/4],
[q*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(19*q-97)],
[q*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(q-7)],
[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-3/4],
[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-3/4],
[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^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 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^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^3*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^4*Phi3*Phi4^2*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-3/4],
[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-1/2],
[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-3/2],
[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-3/4],
[1/2*q*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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^3*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[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^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^3*Phi1*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1],
[1/2*q^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q*Phi1*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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-3/4],
[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-3/4],
[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-3/4],
[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-2)*(q-3)],
[Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-3)*(7*q^2-42*q+71)],
[Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-7)*(q-3)*(1+q)],
[Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(1+q)*(q-3)],
[Phi1^4*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/8*(q-3)^2],
[q^2*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi12, 1/2*q-3/2],
[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, 15/16*q^2-31/8*q+67/16],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/16*(1+q)*(q-3)],
[q^4*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^2*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-3)^2],
[q*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(1+q)*(q-3)],
[Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(5*q-7)*(q-3)],
[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-7/4],
[q*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi12, 1/4*q^2-3/4*q+1],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/32*(q-1)*(11*q^2-42*q+59)],
[q^4*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-7/4],
[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-3/4],
[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)*(q-3)*(5*q-7)],
[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, 11/4*q-17/4],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q+1/4],
[q^5*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^3*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-11/4],
[q^2*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q+1/4],
[Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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)],
[q^9*Phi1*Phi3*Phi4*Phi5*Phi8*Phi10*Phi12, 1],
[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*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q^2-5*q+19/4],
[q^5*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[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^7*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi12, 1],
[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^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^2-4*q+7/4],
[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*(5*q-7)*(q-3)^2],
[q^4*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^3*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi12, 1/4*q-3/4],
[q^6*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q*Phi1*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/4*q*(q-3)],
[Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(11*q-9)*(q-3)^2],
[q^4*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[q^3*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-9/4],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-3/4],
[q^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-27/4],
[q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-27/4],
[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-3/4],
[Phi1*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)^2],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q-17)],
[q^2*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/16*(q-3)^2],
[q^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-3)*(q-7)],
[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-3/2],
[q*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-3)*(5*q-23)],
[Phi2^4*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-7)],
[Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(5*q-27)],
[Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-7)*(q-3)],
[q*Phi2^5*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-6)],
[Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-3)*(7*q^2-84*q+269)],
[1/2*q^2*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-q+7/4],
[1/2*q^2*Phi1^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q^2-q+7/4],
[1/2*q^4*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[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-3/2],
[1/2*q^6*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^4*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^2*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[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-3/2],
[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^2-q+7/4],
[1/2*q^2*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/2*q-3/2],
[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^2-q+7/4],
[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^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^4*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[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-3/2],
[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-3/2],
[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^4*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[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^2*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[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-3/2],
[1/2*q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[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-3/2],
[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-3)*(q-5)],
[1/2*q^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, q-3],
[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-3/2],
[1/2*q^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi2^5*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[1/2*q^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-2)*(q-3)],
[Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)^3],
[Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(1+q)*(q-3)],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-7/4],
[Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/8*(q-3)^2],
[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, 5/8*q^2-7/4*q+13/8],
[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^2-1/2*q+5/4],
[q^5*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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-3/4],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[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-3)*(5*q^2-12*q+11)],
[q^6*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^4*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q],
[q*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-9/4],
[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-9/4],
[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^6*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[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],
[Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(3*q-7)*(q-3)],
[q^4*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[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*(3*q-2)*(q-3)],
[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, 3/8*(q-1)*(q-3)],
[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-3/4],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(1+q)*(q-3)],
[q^5*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^2*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(5*q^2-22*q+13)],
[q^4*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[q^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^2*Phi2^3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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-21/4],
[q*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*q-9/4],
[Phi1*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)^2],
[q^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[q^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[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, 1/8*(q-3)*(5*q-23)],
[Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(3*q-17)],
[q*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-6)],
[Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(q^2-12*q+39)],
[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-5/4],
[1/2*q*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2+9*q-16)],
[1/2*q^2*Phi1^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-7/4],
[1/2*q*Phi1^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2-3*q+8)],
[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^2-q+7/4],
[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^2-q+7/4],
[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^3*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-2],
[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-3],
[1/2*q*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(1+q)*(3*q^2-7*q+6)],
[1/2*q^5*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[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*(1+q)*(7*q^2-q-24)],
[1/2*q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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^7*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[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-3)*(q^2+21*q-40)],
[1/2*q^4*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/2*q-7/2],
[1/2*q*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(3*q-5)*(q^2-q+2)],
[1/2*q^5*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[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-2],
[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^7*Phi1^3*Phi3^2*Phi4*Phi5*Phi8*Phi10*Phi12, 1],
[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-3/2],
[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^2-q+7/4],
[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],
[1/2*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^2*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-q+7/4],
[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-3/4],
[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*(1+q)*(5*q^2-15*q+16)],
[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+33/8],
[1/2*q^5*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q],
[1/2*q^7*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[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-3],
[1/2*q^4*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, q-3],
[1/2*q*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*q^3-13/16*q+11/8],
[1/2*q^5*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[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, 3/16*q^3-3/8*q^2-1/16*q-1/2],
[1/2*q^4*Phi2^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[1/2*q^7*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1],
[1/2*q^3*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-2],
[1/2*q^4*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^3*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[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*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-3)*(q-5)],
[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^7*Phi1*Phi3^2*Phi4^2*Phi5*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-3],
[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-3)*(q-5)],
[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^7*Phi1*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1],
[1/2*q^3*Phi1*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-2],
[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-3/8],
[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, 3/16*q^3-5/8*q^2+11/16*q-1/2],
[1/2*q^4*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[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-9/4],
[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-3/4],
[1/2*q*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*q^3-7/8*q^2+23/16*q-1/2],
[1/2*q^4*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/2*q-15/2],
[1/2*q*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2+15*q-118)],
[1/2*q^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[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-3)*(q-5)],
[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-3)*(q-5)],
[1/2*q^3*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*q-9/4],
[1/2*q^2*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[1/2*q*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2+3*q-46)],
[1/2*q*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2-9*q+26)],
[Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q^2-6*q+17)*(q-3)^2],
[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-3)^2],
[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, 1/16*(q-3)*(3*q^2-18*q+35)],
[q*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*q^3+3/8*q^2-39/16*q+13/4],
[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*(1+q)*(q-3)],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-3)*(q+3)],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*q^4-5/24*q^3+31/48*q^2-11/12*q+3/16],
[q^6*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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*(3*q-8)*(q-3)],
[q^3*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi12, 1/2*q-3/2],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/16*q^2-3/8*q+17/16],
[Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-2)*(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^2-1/4*q+3/2],
[q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-7/4],
[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-2)*(2*q^2-7*q+11)],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(5*q^2+11*q-10)],
[q^7*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^5*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q],
[Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(3*q-5)*(q-1)*(q-3)],
[q^2*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 7/4*q-13/4],
[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-11/4],
[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^2-1/2*q+5/4],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 7/64*q^4-1/2*q^3+37/32*q^2-7/4*q+31/64],
[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*(1+q)*(q-3)],
[q*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(3*q-7)*(q-3)],
[q^5*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(5*q-1)*(q-3)],
[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, 3/4*(q-1)*(q-3)],
[Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(2*q-3)*(q-3)],
[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-3/4],
[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-3/4],
[q^2*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q+2)*(q-3)],
[q^6*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^2-14*q+19)],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/16*q^3-7/8*q^2-15/16*q+13/4],
[q^5*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-4)*(2*q-1)],
[q^2*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[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-15/4],
[q^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[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-3)^2],
[q*Phi1*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(2*q^2-6*q+13)*(q-3)^2],
[q^6*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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*(q-1)*(q-3)],
[q^3*Phi2^3*Phi3^2*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(9*q-31)],
[q*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(3*q-16)],
[Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(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-3)*(q-7)],
[q*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(q^2+3*q-34)],
[Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-3)*(q^2-12*q+39)],
[Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-3)*(q-7)*(q^2-10*q+37)],
[1/2*q^3*Phi1^6*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)^2],
[1/2*q^4*Phi1^5*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-5/4],
[1/2*q*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(1+q)*(q-3)],
[1/2*q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(5*q-7)*(q-3)],
[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-7/4],
[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-3/4],
[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-3)^2],
[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^4*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, q-2],
[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-3/4],
[1/2*q*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(7*q-5)*(q-3)],
[1/2*q^4*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*q+3/4],
[1/2*q^8*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1],
[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*(5*q-7)*(q-3)],
[1/2*q^4*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-2],
[1/2*q^7*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*q-3/4],
[1/2*q^3*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(q-7)],
[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^6*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-3)*(q+3)],
[1/2*q^7*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q+5/4],
[1/2*q^3*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/8*q^2+1/4*q-27/8],
[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-3/4],
[1/2*q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*q^2+17/8*q-47/16],
[1/2*q^6*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 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^2-1/2*q+5/4],
[1/2*q^7*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3],
[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-3/4],
[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],
[1/2*q^8*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[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-3],
[1/2*q^13*Phi3*Phi4*Phi5*Phi6^2*Phi8*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^8*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1],
[1/2*q^4*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-2],
[1/2*q*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-3)],
[1/2*q^4*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[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-3/4],
[1/2*q^3*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)^2],
[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, 5/8*q^2+1/4*q-11/8],
[1/2*q^7*Phi1*Phi2*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*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*q^2-1/2*q+11/8],
[1/2*q^7*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q+5/4],
[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^6*Phi1*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi10*Phi12, 1/4*q-3/4],
[1/2*q^3*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(1+q)*(q-3)],
[1/2*q^7*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3],
[1/2*q^7*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-3/4],
[1/2*q^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q+33)*(q-3)],
[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^8*Phi1*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 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-2],
[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-9/4],
[1/2*q*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(7*q-9)*(q-3)],
[1/2*q^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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-3],
[1/2*q*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(5*q-27)],
[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-3/4],
[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-3/4],
[1/2*q^3*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[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-3)*(q-7)],
[1/2*q*Phi1*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)^2],
[1/2*q^4*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/4*q-9/4],
[1/2*q*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(5*q-27)],
[1/2*q^3*Phi2^6*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(q-7)],
[Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-3)*(q-4)*(q^2-6*q+17)],
[q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-3)*(7*q^2-42*q+71)],
[q*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(1+q)*(q-3)],
[Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(2*q-11)*(q-3)*(1+q)],
[q*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^2-12*q+17)],
[q^3*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi12, 1/4*(q-2)*(q-3)],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*q^3+13/16*q^2-181/48*q+71/16],
[Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-3)*(7*q^2-45*q+80)],
[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-2)*(q-3)],
[Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/32*q^4-19/32*q^3+53/32*q^2-81/32*q+17/8],
[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-3)*(q+3)],
[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, 17/48*q^3-3/2*q^2+121/48*q-21/8],
[q^5*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-7/4],
[Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-2)*(q-3)^2],
[q^2*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 21/16*q^2-45/8*q+97/16],
[q^4*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi12, 1/2*q-3/2],
[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^2+3/2],
[q^2*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(1+q)*(q-3)],
[q*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, (q-2)*(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-7/4],
[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-3/2],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(3*q-1)*(4*q^2-11*q+9)],
[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+3/2],
[q*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q^3-19/8*q^2+17/4*q-23/8],
[q^5*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi12, 1/4*q^2-3/4*q+1],
[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, 3/16*q^3+15/16*q^2-79/16*q+53/16],
[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-11/4],
[q*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(3*q-5)*(q-1)*(q-3)],
[q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 5/2*q-7/2],
[Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/16*q^3-29/8*q^2+133/16*q-13/2],
[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-11/4],
[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, 3/32*q^4-49/96*q^3+49/32*q^2-227/96*q+3/2],
[q^4*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-1/2*q+5/4],
[q^8*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^3*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^12*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/16*q^3-q^2+25/16*q-17/8],
[q^17*Phi3*Phi4^2*Phi6*Phi8*Phi12, 2],
[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)*(9*q^3-40*q^2+89*q-54)],
[q^4*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(1+q)*(q-3)],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(13*q-19)*(q-3)],
[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*(q-3)],
[q^2*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 13/8*q^2-23/4*q+29/8],
[q*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, (2*q-3)*(q-3)],
[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-3)*(12*q^2-25*q+11)],
[q^6*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^4*Phi1*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^10*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^9*Phi2^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^6*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^2-14*q+19)],
[q^6*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-3/4],
[q^3*Phi1*Phi2^3*Phi3^2*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/4*q*(q-3)],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*q^3+9/16*q^2-71/16*q+83/16],
[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-27/4],
[q*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(4*q^2-15*q+5)],
[q^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(9*q^2-49*q+42)],
[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-15/4],
[q^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q-9/2],
[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-3)*(q^3-10*q^2+29*q-32)],
[q^3*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-3)*(17*q^2-57*q-14)],
[q^5*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[Phi1*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(3*q-1)*(q-3)*(q^2-7*q+14)],
[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*(q-1)*(q-3)],
[q^3*Phi2^4*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-6)],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q-17)],
[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-3/2],
[q^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*(q-3)^2],
[q^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(21*q-95)],
[q*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, (q-3)*(q-5)],
[q*Phi1*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)^2],
[Phi1*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(2*q-7)*(q-7)*(q-3)],
[q^3*Phi2^4*Phi3^2*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-6)],
[q^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2+36*q-193)],
[q*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^2-30*q+83)],
[Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-7)*(q-3)*(7*q-38)],
[q*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-3)*(7*q^2-84*q+269)],
[Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-3)*(q-7)*(q^2-11*q+42)],
[1/2*q^2*Phi1^6*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-2)*(q-3)],
[1/2*q*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)^3],
[1/2*q^4*Phi1^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-7/4],
[1/2*q^2*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(5*q-7)*(q-3)],
[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-3/2],
[1/2*q^2*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-3/4*q+1],
[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^2-q+7/4],
[1/2*q*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(5*q^2-12*q+11)],
[1/2*q^2*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*(q-2)*(q-3)],
[1/2*q^5*Phi1^3*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[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-3)^3],
[1/2*q^4*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q^2-q+7/4],
[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],
[1/2*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-3/2],
[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-7/2],
[1/2*q^7*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q],
[1/2*q^2*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(5*q-7)*(q-3)],
[1/2*q^5*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[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-2)*(q-3)],
[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-3/2],
[1/2*q^2*Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q*(q-3)],
[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^2-q+7/4],
[1/2*q^5*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q^2-3/2*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^2-q+7/4],
[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-3)*(5*q^2-12*q+11)],
[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-3],
[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],
[1/2*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-3/2],
[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-3/2],
[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],
[1/2*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-3],
[1/2*q^5*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[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-3/2],
[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^2-3/4*q+1],
[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-3/2],
[1/2*q^2*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-6)],
[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-3)*(q-5)],
[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*(q-3)],
[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-3/2],
[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-3)*(5*q^2-22*q+13)],
[1/2*q^4*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[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-3],
[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-3/2],
[1/2*q^7*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[1/2*q^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/2*q-15/2],
[1/2*q^5*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(5*q-27)],
[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*(q-3)],
[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-3/2],
[1/2*q*Phi1*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(5*q^2-22*q+13)],
[1/2*q^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[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-3/2],
[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-3)*(q-6)],
[1/2*q^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[1/2*q*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2-12*q+39)],
[1/2*q^4*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[1/2*q^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(5*q-27)],
[1/2*q^2*Phi2^6*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-6)],
[1/2*q*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(q^2-12*q+39)],
[q^2*Phi1^6*Phi3^2*Phi4^3*Phi5*Phi8*Phi10*Phi12, 1/8*(q-3)^2],
[Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(1+q)*(q-3)*(q-7)^2],
[q*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^2-18*q+35)],
[Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/256*(q-3)*(7*q^3-83*q^2+333*q-537)],
[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*(2*q-11)*(q-3)*(1+q)],
[q^2*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-3)*(7*q^2+30*q-145)],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*q^3+13/16*q^2-181/48*q+71/16],
[q^2*Phi1^3*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-7)*(q-3)*(1+q)],
[q*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(7*q^2-45*q+80)],
[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+15)],
[q^4*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(1+q)*(q-3)],
[q^10*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^6*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi12, 1/2*q-3/2],
[q*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-2)*(2*q^2-7*q+11)],
[q^5*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^6*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/16*(1+q)*(q-3)],
[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*(1+q)*(q-3)],
[q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-3)^2],
[q^3*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 21/16*q^2-45/8*q+97/16],
[Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-3)*(7*q^3-36*q^2+83*q-82)],
[q^4*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/16*q^2-3/8*q+17/16],
[q^3*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(1+q)*(q-3)],
[q^2*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*(q-2)*(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^2-1/4*q+3/2],
[q^12*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/4*q-3/4],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q^3-41/16*q^2+17/8*q-5/16],
[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],
[q^11*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[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-3/4],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 11/32*q^3-29/32*q^2-35/32*q+101/32],
[q^6*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 11/4*q-17/4],
[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, 3/16*q^3+15/16*q^2-79/16*q+53/16],
[q^9*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^7*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-15/4],
[q^2*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(q-3)*(5*q-7)],
[q^6*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q+1/4],
[q^4*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 7/4*q-13/4],
[q*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 27/16*q^3-87/8*q^2+399/16*q-39/2],
[q^7*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-5/4],
[q^5*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 7/4*q-9/4],
[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, 63/128*q^4-57/32*q^3+101/64*q^2+7/32*q-81/128],
[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, 7/16*q^3-23/16*q^2+57/16*q-57/16],
[q^13*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1],
[q^11*Phi1*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1],
[q^9*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[q^6*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*(q-1)^2],
[q^13*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q^2-5/2*q+1/2],
[q^16*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 2],
[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+15)],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(13*q-19)*(q-3)],
[Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 51/128*q^4-97/32*q^3+577/64*q^2-409/32*q+995/128],
[q^4*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(5*q-1)*(q-3)],
[q^3*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 13/8*q^2-23/4*q+29/8],
[q^2*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*(2*q-3)*(q-3)],
[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-3/4],
[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-3/4],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(16*q^2-25*q+7)],
[q^7*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^12*Phi2^2*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^5*Phi1*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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+2)*(q-3)],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/32*(5*q-7)*(q-3)^2],
[q^6*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-9/4],
[q^7*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-3/4],
[q^5*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*q^3+9/16*q^2-71/16*q+83/16],
[q^9*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^7*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-27/4],
[q^2*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-3)*(11*q^2-18*q-5)],
[q^6*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/4*q-27/4],
[q^5*Phi2^3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^4*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-3)*(9*q^2-49*q+42)],
[q^7*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-9/4],
[q^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 7/4*q-21/4],
[q^4*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[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)*(q-3)*(31*q^2-138*q-25)],
[q^4*Phi1*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)^2],
[q^10*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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-3)^2],
[q^2*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(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-3)*(q-7)],
[q*Phi1*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-4)*(2*q-1)],
[q^6*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q-17)],
[Phi1*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-3)*(7*q^3-64*q^2+179*q-94)],
[q^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(9*q-31)],
[q^3*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(21*q-95)],
[q^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*(q-3)*(q-5)],
[q*Phi1*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(2*q-7)*(q-7)*(q-3)],
[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-7)*(q-3)],
[q^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2+36*q-193)],
[q^2*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-3)*(7*q^2-12*q-139)],
[q*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-7)*(q-3)*(7*q-38)],
[Phi1*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(q-7)*(q-11)*(q-3)^2],
[q^2*Phi2^6*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-7)],
[q*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-3)*(q^2-12*q+39)],
[Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/256*(q-3)*(q-7)*(7*q^2-90*q+327)],
[1/2*q*Phi1^6*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q^2-6*q+17)*(q-3)^2],
[1/2*q^2*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)^3],
[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*(1+q)*(q-3)],
[1/2*q^4*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2+9*q-16)],
[1/2*q*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*q^4-5/24*q^3+25/48*q^2-2/3*q+9/16],
[1/2*q^3*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(5*q-7)*(q-3)],
[1/2*q*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(q^2-6*q+17)*(q-3)^2],
[1/2*q^4*Phi1^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2-3*q+8)],
[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-7/4],
[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^2-q+7/4],
[1/2*q^2*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(5*q^2-12*q+11)],
[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-3)^3],
[1/2*q^5*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q^2-q+7/4],
[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-3/2],
[1/2*q^4*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(1+q)*(3*q^2-7*q+6)],
[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, 67/384*q^4-21/32*q^3+157/192*q^2-25/32*q+73/128],
[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*(1+q)*(7*q^2-q-24)],
[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-3/4],
[1/2*q^3*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(7*q-5)*(q-3)],
[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-3)*(q^2+21*q-40)],
[1/2*q*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/12*q^4-5/12*q^3+25/24*q^2-4/3*q+9/8],
[1/2*q^7*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^4*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(3*q-5)*(q^2-q+2)],
[1/2*q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(5*q-7)*(q-3)],
[1/2*q^6*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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^10*Phi1^3*Phi3^2*Phi4*Phi5*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[1/2*q^25*Phi1^2*Phi3*Phi5*Phi6, 2],
[1/2*q^25*Phi4*Phi10*Phi12, 2],
[1/2*q^7*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[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^2-q+7/4],
[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-7/2],
[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^10*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[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^5*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-q+7/4],
[1/2*q^2*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(5*q^2-12*q+11)],
[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-3/4],
[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*(1+q)*(5*q^2-15*q+16)],
[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+33/8],
[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-1/2],
[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-3/2],
[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-3/2],
[1/2*q^4*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*q^3-13/16*q+11/8],
[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, 3/16*q^3-3/8*q^2-1/16*q-1/2],
[1/2*q^7*Phi2^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^6*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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-3/4],
[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-7/4],
[1/2*q^25*Phi4*Phi5*Phi12, 2],
[1/2*q^25*Phi2^2*Phi3*Phi6*Phi10, 2],
[1/2*q^10*Phi1*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi1*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*Phi4^3*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-3)*(q-5)],
[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^10*Phi1*Phi3^2*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[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^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-15/2],
[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-3)*(5*q^2-22*q+13)],
[1/2*q^5*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[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-3/4],
[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-3/8],
[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, 1/384*(q-3)*(67*q^3-155*q^2+137*q-217)],
[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, 3/16*q^3-5/8*q^2+11/16*q-1/2],
[1/2*q^7*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^6*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[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*(7*q-9)*(q-3)],
[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-3/4],
[1/2*q^4*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*q^3-7/8*q^2+23/16*q-1/2],
[1/2*q*Phi1*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*(q-3)*(2*q^3-12*q^2+25*q-9)],
[1/2*q^7*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^4*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2+15*q-118)],
[1/2*q^6*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[1/2*q^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(5*q-27)],
[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-3/4],
[1/2*q^7*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[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-3)*(5*q^2-22*q+13)],
[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-3)*(q-5)],
[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-3)*(q-5)],
[1/2*q^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2-12*q+39)],
[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-3)^2],
[1/2*q*Phi1*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-3)*(2*q^3-12*q^2+25*q-9)],
[1/2*q^4*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2+3*q-46)],
[1/2*q^3*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(5*q-27)],
[1/2*q^4*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2-9*q+26)],
[1/2*q*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(q-3)*(q-7)*(q^2-10*q+37)],
[1/2*q^2*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(q^2-12*q+39)],
[1/2*q*Phi2^6*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-3)*(q-7)*(q^2-10*q+37)],
[q*Phi1^6*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-3)*(q-4)*(q^2-6*q+17)],
[Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3840*(q-3)*(q-7)*(6*q^3-65*q^2+264*q-505)],
[q^2*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^2-18*q+35)],
[q^3*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-3)*(7*q^2-42*q+71)],
[q*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/128*(q-3)*(7*q^3-83*q^2+333*q-537)],
[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*(1+q)*(q-3)],
[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-3)^2],
[q^6*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi12, 1/4*(q-2)*(q-3)],
[q*Phi1^5*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/32*q^4-19/32*q^3+53/32*q^2-81/32*q+17/8],
[q^5*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-2)*(q-3)],
[q^2*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(2*q-11)*(q-3)*(1+q)],
[q^3*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^2-12*q+17)],
[Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(q-3)*(22*q^4-163*q^3+511*q^2-881*q+919)],
[q^4*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*q^3+3/8*q^2-39/16*q+13/4],
[q^2*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(7*q^2-45*q+80)],
[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-3/4],
[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-5/2],
[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*(1+q)^2],
[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-3/2],
[q^2*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-2)*(2*q^2-7*q+11)],
[q^6*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 15/16*q^2-31/8*q+67/16],
[q^3*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 17/48*q^3-3/2*q^2+121/48*q-21/8],
[q^9*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-q+7/4],
[q^7*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-7/4],
[q^6*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(1+q)*(q-3)],
[q^4*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(3*q-8)*(q-3)],
[q*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(7*q^3-36*q^2+83*q-82)],
[q^7*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)^2],
[q^5*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/8*q^2-7/4*q+13/8],
[q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, (q-2)*(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^2-3/4*q+1],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 11/32*q^4-27/32*q^3+41/32*q^2-65/32*q+3/2],
[q^10*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi12, 1/2*q-3/2],
[q^5*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-1/2*q+5/4],
[q^13*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*q-3/4],
[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, q^3-41/16*q^2+17/8*q-5/16],
[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-1/4],
[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-18)],
[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, 1/2*q^3-19/8*q^2+17/4*q-23/8],
[q^7*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 2*q-2],
[Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-3)*(42*q^4-167*q^3+339*q^2-493*q+399)],
[q^4*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(5*q^2+11*q-10)],
[q^10*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(3*q-5)*(q-1)*(q-3)],
[q^5*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-9/4],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 27/16*q^3-87/8*q^2+399/16*q-39/2],
[q^8*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-5/4],
[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^20*Phi1*Phi3*Phi4*Phi5*Phi6*Phi12, 1],
[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^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, 7/16*q^3-23/16*q^2+57/16*q-57/16],
[q^6*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q^2-5*q+19/4],
[q^14*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1],
[q^3*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/16*q^3-q^2+25/16*q-17/8],
[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+15)],
[q^6*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q^2-4*q+7/4],
[q^4*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(3*q-7)*(q-3)],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 51/64*q^4-97/16*q^3+577/32*q^2-409/16*q+995/64],
[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*(3*q-2)*(q-3)],
[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, 3/4*(q-1)*(q-3)],
[q^3*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, (2*q-3)*(q-3)],
[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, 1/96*(q-3)*(25*q^3-10*q^2+5*q-32)],
[q^13*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi10*Phi12, 1/4*q-3/4],
[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-3/4],
[q^2*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(16*q^2-25*q+7)],
[q^8*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^16*Phi2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, q-3],
[q^12*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-9/4],
[q*Phi1^2*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-1)*(q-3)*(11*q^2+q+6)],
[q^6*Phi1*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/4*q*(q-3)],
[q^5*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(1+q)*(q-3)],
[q^13*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi10*Phi12, 1/4*q-3/4],
[q^10*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^2-14*q+19)],
[q^7*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-3],
[Phi1^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-3)*(42*q^4-251*q^3+503*q^2-529*q+307)],
[q^4*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/16*q^3-7/8*q^2-15/16*q+13/4],
[q^10*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(4*q^2-15*q+5)],
[q^7*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-3)*(9*q^2-49*q+42)],
[q^8*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-9/4],
[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-9/4],
[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*(1+q)*(q-3)],
[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-3/4],
[q^10*Phi2^3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/2*q-9/2],
[q^7*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^6*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q-17)],
[q^3*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-3)*(17*q^2-57*q-14)],
[q^9*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[q^7*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[q^2*Phi1*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-4)*(2*q-1)],
[q^7*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^6*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-3)*(5*q-23)],
[q*Phi1*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(7*q^3-64*q^2+179*q-94)],
[q^7*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(q-7)],
[q^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(5*q-23)],
[q^4*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(3*q-16)],
[q^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, (q-3)*(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-3)^2],
[q^2*Phi1*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(2*q-7)*(q-7)*(q-3)],
[q*Phi1*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(3*q-1)*(q-3)*(q^2-7*q+14)],
[q^6*Phi2^5*Phi3*Phi4^3*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-6)],
[q^5*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-6)],
[q^4*Phi2^5*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-7)],
[Phi1*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(q-3)*(22*q^4-295*q^3+1387*q^2-2597*q+883)],
[q^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(q^2+3*q-34)],
[q^3*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^2-30*q+83)],
[q^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-7)*(q-3)*(7*q-38)],
[q^3*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-3)*(7*q^2-84*q+269)],
[q^2*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-3)*(q^2-12*q+39)],
[q*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/128*(q-3)*(q-7)*(7*q^2-90*q+327)],
[q*Phi2^6*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-3)*(q-7)*(q^2-11*q+42)],
[Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3840*(q-3)*(q-7)*(6*q^3-125*q^2+904*q-2565)],
[Phi1^6*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/46080*(q-3)*(q-5)*(q-7)*(q-11)*(q^2-4*q+15)],
[q*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3840*(q-3)*(q-7)*(6*q^3-65*q^2+264*q-505)],
[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*(1+q)*(q-3)*(q-7)^2],
[q^3*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-3)*(q-4)*(q^2-6*q+17)],
[Phi1^5*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3840*(q-3)*(3*q^5-37*q^4+169*q^3-413*q^2+608*q-690)],
[q^4*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q^2-6*q+17)*(q-3)^2],
[q^2*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/256*(q-3)*(7*q^3-83*q^2+333*q-537)],
[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-3)*(7*q^2-42*q+71)],
[q^3*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(2*q-11)*(q-3)*(1+q)],
[q^9*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2-3*q+8)],
[q^6*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-7)*(q-3)*(1+q)],
[q^4*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^2-18*q+35)],
[q*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(q-3)*(22*q^4-163*q^3+511*q^2-881*q+919)],
[q^5*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)^3],
[q^3*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-3)*(7*q^2-45*q+80)],
[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-2)*(q-3)],
[q^5*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(1+q)*(q-3)],
[q^12*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/16*(1+q)*(q-3)],
[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+15)],
[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*(1+q)*(q-3)],
[q^12*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)^2],
[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-3)^2],
[q^3*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/32*q^4-19/32*q^3+53/32*q^2-81/32*q+17/8],
[q^7*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 19/16*q^2-43/8*q+103/16],
[Phi1^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3072*(q-3)*(21*q^5-107*q^4+230*q^3-290*q^2+469*q-419)],
[q^4*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/24*q^4-5/24*q^3+31/48*q^2-11/12*q+3/16],
[q^10*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q^2-q+7/4],
[q^3*Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-2)*(q-3)^2],
[q^7*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(1+q)*(q-3)],
[q^5*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/8*(q-3)^2],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-3)*(7*q^3-36*q^2+83*q-82)],
[q^6*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(5*q-7)*(q-3)],
[q^4*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-2)*(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-3/4],
[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-3/4],
[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-3/2],
[q^6*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/32*(q-1)*(11*q^2-42*q+59)],
[q^12*Phi1^2*Phi3*Phi4^2*Phi5*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^10*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 5/4*q-7/4],
[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*(3*q-1)*(4*q^2-11*q+9)],
[q^9*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/16*q^3-1/2*q^2+15/16*q-3/8],
[q^17*Phi1*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, q-1],
[q^13*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-5/4],
[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)*(q-3)*(5*q-7)],
[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-2)*(2*q^2-7*q+11)],
[q^8*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, q-1],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-3)*(42*q^4-167*q^3+339*q^2-493*q+399)],
[q^5*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(5*q^2-12*q+11)],
[q^11*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^4*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(3*q-5)*(q-1)*(q-3)],
[q^6*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 9/16*q^3-29/8*q^2+133/16*q-13/2],
[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^2-3/4*q+1],
[q^5*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[q^15*Phi1*Phi3*Phi4*Phi5*Phi8*Phi10*Phi12, 1],
[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^21*Phi1*Phi3*Phi4*Phi5*Phi6*Phi12, 1],
[q^2*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 63/128*q^4-57/32*q^3+101/64*q^2+7/32*q-81/128],
[q^16*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[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*(q-3)],
[q^3*Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 3/32*q^4-49/96*q^3+49/32*q^2-227/96*q+3/2],
[q^7*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 3/2*q^2-6*q+11/2],
[Phi1^3*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/1152*(q-3)*(17*q^5-75*q^4+83*q^3-39*q^2+152*q-210)],
[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, 7/64*q^4-1/2*q^3+37/32*q^2-7/4*q+31/64],
[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)*(9*q^3-40*q^2+89*q-54)],
[q^7*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/2*q^2-5*q+5/2],
[q^5*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/8*(3*q-7)*(q-3)],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 51/128*q^4-97/32*q^3+577/64*q^2-409/32*q+995/128],
[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, 3/8*(q-1)*(q-3)],
[q^4*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(2*q-3)*(q-3)],
[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-3/4],
[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-3/4],
[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-3/4],
[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*(5*q-7)*(q-3)^2],
[q^10*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^13*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi10*Phi12, 1/4*q-3/4],
[q^3*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(12*q^2-25*q+11)],
[q^9*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(3*q-5)*(q^2-3*q+4)],
[q^17*Phi2*Phi3*Phi4*Phi5*Phi6*Phi10*Phi12, q-3],
[q^13*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 3/4*q-9/4],
[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*(11*q-9)*(q-3)^2],
[q^12*Phi2^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^11*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^10*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi10*Phi12, 5/4*q-15/4],
[q^9*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^4*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^2-14*q+19)],
[q^8*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-3)*(42*q^4-251*q^3+503*q^2-529*q+307)],
[q^5*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(5*q^2-22*q+13)],
[q^11*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^4*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-4)*(2*q-1)],
[q^8*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(9*q^2-49*q+42)],
[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-3/4],
[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-3)^2],
[q^2*Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/192*(q-1)*(q-3)*(31*q^2-138*q-25)],
[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-3)^2],
[q^12*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(q-7)],
[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-3)^2],
[q^10*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-6)],
[q^3*Phi1^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi8*Phi10*Phi12, 1/96*(q-3)*(q^3-10*q^2+29*q-32)],
[q^7*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q-17)],
[Phi1^2*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3072*(q-1)*(q-3)*(21*q^4-170*q^3+408*q^2-142*q+27)],
[q^4*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(2*q^2-6*q+13)*(q-3)^2],
[q^10*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[q^3*Phi1*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(3*q-1)*(q-3)*(q^2-7*q+14)],
[q^7*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(19*q-97)],
[q^6*Phi2^4*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-7)],
[q^2*Phi1*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/32*(q-3)*(7*q^3-64*q^2+179*q-94)],
[q^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(5*q-27)],
[q^5*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/8*(q-3)*(3*q-17)],
[q^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/4*(q-3)*(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-7)*(q-3)],
[q^3*Phi1*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(2*q-7)*(q-7)*(q-3)],
[q^9*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi10*Phi12, 1/48*(q-3)*(q^2-9*q+26)],
[q^6*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-3)*(7*q^2-84*q+269)],
[q*Phi1*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/768*(q-3)*(22*q^4-295*q^3+1387*q^2-2597*q+883)],
[q^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/16*(q-3)*(q^2-12*q+39)],
[q^4*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 3/16*(q-3)*(q^2-12*q+39)],
[q^3*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/48*(q-7)*(q-3)*(7*q-38)],
[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-7)*(q-11)*(q-3)^2],
[Phi1*Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3840*(q-3)*(q-7)*(3*q^4-40*q^3+177*q^2-310*q+70)],
[q^4*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/384*(q-3)*(q-7)*(q^2-10*q+37)],
[q^3*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/96*(q-3)*(q-7)*(q^2-11*q+42)],
[q^2*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/256*(q-3)*(q-7)*(7*q^2-90*q+327)],
[q*Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/3840*(q-3)*(q-7)*(6*q^3-125*q^2+904*q-2565)],
[Phi2^6*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/46080*(q-11)*(q-3)*(q-7)*(q^3-21*q^2+143*q-435)]
];