DegreesAndMultiplicitiesE6sc_1mod6 := [
[1, 1],
[q*Phi8*Phi9, 1],
[q^2*Phi4*Phi5*Phi8*Phi12, 1],
[Phi3^2*Phi6*Phi9*Phi12, q-2],
[Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 1],
[1/2*q^3*Phi1^4*Phi3^2*Phi5*Phi9, 1],
[1/2*q^3*Phi5*Phi6^2*Phi8*Phi9, 1],
[1/2*q^3*Phi5*Phi8*Phi9*Phi12, 1],
[1/2*q^3*Phi4^2*Phi5*Phi9*Phi12, 1],
[Phi1*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 1],
[Phi2*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q^4*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12, 1],
[q*Phi3^2*Phi5*Phi6^2*Phi9*Phi12, q-2],
[1/3*Phi1^4*Phi2^2*Phi4^2*Phi5*Phi8*Phi9, 6],
[1/3*Phi3^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[Phi1^4*Phi2^2*Phi4^2*Phi5*Phi8*Phi9, 1/3*(q+2)*(q-1)],
[Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi9*Phi12, 1/2*q*(q-1)],
[q^6*Phi4^2*Phi8*Phi9*Phi12, 1],
[q^2*Phi3^2*Phi4*Phi6*Phi8*Phi9*Phi12, q-2],
[Phi3^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*(q-1)*(q-4)],
[q^5*Phi4*Phi5*Phi8*Phi9*Phi12, 1],
[q*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1],
[Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q^6*Phi3^3*Phi6^2*Phi9*Phi12, 1],
[q^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1],
[q*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q^2*Phi3^2*Phi5*Phi6*Phi8*Phi9*Phi12, q-2],
[q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-3/2],
[Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)^2],
[1/3*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi12, 6],
[1/3*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[Phi1^2*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q^2*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1],
[Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-3/2],
[1/6*q^7*Phi4^2*Phi5*Phi6^2*Phi8*Phi9, 1],
[1/6*q^7*Phi2^4*Phi5*Phi8*Phi9*Phi12, 1],
[1/3*q^7*Phi1^6*Phi2^4*Phi4^2*Phi5*Phi8, 2],
[1/3*q*Phi1^4*Phi2^2*Phi4^2*Phi5*Phi8*Phi9*Phi12, 6],
[1/3*q^7*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[1/3*q^7*Phi3^3*Phi5*Phi6^2*Phi8*Phi12, 1],
[1/3*q*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[1/2*q^7*Phi1^4*Phi3^2*Phi5*Phi8*Phi9, 1],
[1/2*q^3*Phi1^4*Phi3^3*Phi5*Phi6*Phi9*Phi12, q-2],
[1/2*q^7*Phi4^2*Phi5*Phi8*Phi9*Phi12, 1],
[1/2*q^3*Phi3^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-2],
[1/2*q^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi9*Phi12, q-2],
[1/2*q^3*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, q-2],
[q*Phi1^4*Phi2^2*Phi4^2*Phi5*Phi8*Phi9*Phi12, 1/3*(q+2)*(q-1)],
[Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q*(q-1)],
[q^2*Phi1*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-1/2],
[Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-2)],
[q^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[q*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[q^3*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1],
[q^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1],
[q*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-3],
[Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-5/2],
[q^2*Phi2*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-3],
[Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-4)],
[q*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*(q-1)*(q-4)],
[Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/12*(q-1)*(q-3)],
[q*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q+2)*(q-1)],
[Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-1)^3],
[q^3*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-1/2],
[Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q-1)^2],
[q^12*Phi4^2*Phi8*Phi9*Phi12, 1],
[q^2*Phi1^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi9*Phi12, 1/2*q*(q-1)],
[q^3*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-2)],
[Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)^2],
[q^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[q^3*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi8*Phi9*Phi12, 1/6*q*(q-1)],
[Phi1^3*Phi2*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q+1)*(q-1)^2],
[q^2*Phi1^2*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[Phi1^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q-1)*(q^2-2*q-1)],
[q^10*Phi3^3*Phi6^2*Phi9*Phi12, 1],
[q^6*Phi3^3*Phi6^2*Phi8*Phi9*Phi12, q-2],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-3)*(q-1)^2],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q^4*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1],
[q^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-5/2],
[q^4*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, q-2],
[q^2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-2)*(q-3)],
[q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-4)],
[Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*q^2-2/3*q+19/12],
[q*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)^2],
[Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-5)*(q-3)^2],
[Phi1^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q*Phi1^2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q^11*Phi4*Phi5*Phi8*Phi9*Phi12, 1],
[q^5*Phi3^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-2],
[q^4*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1],
[q^2*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[q^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-5],
[q*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-3/2],
[Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-4*q+17/2],
[1/3*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 6],
[1/3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/3*(q+2)*(q-1)],
[Phi1^4*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi9*Phi12, 1/4*(q-1)*(q+1)],
[q*Phi1^2*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q+2)*(q-1)],
[Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q-1)*(q^2-2)],
[Phi1^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)^2],
[q^6*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[q^4*Phi1*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q^13*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12, 1],
[q^2*Phi1^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q^2*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q^4*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 2],
[q*Phi1*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-2)],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-1)^2],
[q^6*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1],
[q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-5],
[q^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-3/2],
[Phi1^2*Phi2^2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-1)*(q-3)],
[q^5*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1],
[q^6*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, q-2],
[q^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-5],
[q^3*Phi2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q^2-8*q+17],
[Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/24*(q-1)*(q-7)],
[q^4*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)^2],
[q*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2-4/3*q+19/6],
[q*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-4)],
[Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^3-13/6*q^2+55/6*q-79/6],
[1/6*q^3*Phi1^6*Phi2^2*Phi4^2*Phi5*Phi8*Phi9*Phi12, 6],
[1/6*q^3*Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi9, 6],
[1/6*q^3*Phi1^4*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[1/6*q^3*Phi1^4*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9, 6],
[1/6*q^3*Phi1^4*Phi2^4*Phi4^2*Phi5*Phi8*Phi9*Phi12, 6],
[1/6*q^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[1/6*q^3*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[1/6*q^3*Phi2^4*Phi3^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[1/3*Phi1^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3*q-3],
[1/3*q*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 6],
[1/3*q^3*Phi1^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi12, 6],
[1/3*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3*q-15],
[1/3*Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-3/2],
[1/3*q*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[1/3*q^3*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[1/3*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-15/2],
[1/2*q^3*Phi1^6*Phi2^2*Phi4^2*Phi5*Phi8*Phi9*Phi12, 1/3*(q+2)*(q-1)],
[1/2*q^3*Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi9, 1/3*(q+2)*(q-1)],
[1/2*q^15*Phi1^4*Phi3^2*Phi5*Phi9, 1],
[1/2*q^7*Phi1^4*Phi3^3*Phi5*Phi6*Phi9*Phi12, q-2],
[1/2*q^3*Phi1^4*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*(q-1)*(q-4)],
[1/2*q^3*Phi1^4*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9, 1/3*(q+2)*(q-1)],
[1/2*q^3*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q*(q-1)],
[1/2*q^15*Phi5*Phi6^2*Phi8*Phi9, 1],
[1/2*q^3*Phi1^4*Phi2^4*Phi4^2*Phi5*Phi8*Phi9*Phi12, 1/3*(q+2)*(q-1)],
[1/2*q^15*Phi5*Phi8*Phi9*Phi12, 1],
[1/2*q^3*Phi1^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, q*(q-1)],
[1/2*q^15*Phi4^2*Phi5*Phi9*Phi12, 1],
[1/2*q^7*Phi3^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-2],
[1/2*q^7*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi9*Phi12, q-2],
[1/2*q^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-1)*(q-4)],
[1/2*q^7*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, q-2],
[1/2*q^3*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*(q-1)*(q-4)],
[1/2*q^3*Phi2^4*Phi3^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-1)*(q-4)],
[Phi1^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*(q+2)*(q-1)^2],
[Phi1^4*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q+2)*(q-1)*(q^2+q-1)],
[q*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/3*(q+2)*(q-1)],
[q*Phi1^4*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2*(q-1)*(q+1)],
[q^3*Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q+2)*(q-1)],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[Phi1^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-3)],
[q^6*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-1/2],
[Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi9*Phi12, 1/6*q*(q-1)*(q^2+q+1)],
[Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*(q-1)*(q-3)*(q+2)],
[Phi1^4*Phi2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q-1)*(q+1)*(q^2-q+1)],
[q*Phi1^3*Phi2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q+1)*(q-1)^2],
[q^2*Phi1^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q^3*Phi1^2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-1],
[q*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q-1)*(q^2-2)],
[Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/12*(q^2-q-3)*(q-1)^2],
[q*Phi1^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(3*q-5)*(q-1)*(q+1)],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-1)*(q^3-2*q^2-1)],
[q^6*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q^3*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q^7*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[q^6*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[q^2*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-2)],
[Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q^2-2*q-4)*(q-1)^2],
[Phi1^2*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-3)],
[q^6*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q^3*Phi1*Phi2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q^2*Phi1*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-2)],
[q^7*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-1)^2],
[q^7*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1],
[q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-5],
[Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-4)*(q-1)^2],
[q^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q*Phi1*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-3)*(q-1)^2],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-1)*(q-3)*(q^2-5*q+3)],
[q^6*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q^4*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2-4/3*q+19/6],
[q^4*Phi2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q^2-15/2*q+29/2],
[q*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2-4/3*q+13/6],
[q^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-5/2],
[q^3*Phi2^2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)^2],
[q^2*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-4)],
[q*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-4)*(q^2-6*q+7)],
[Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-7)*(q-3)*(q-4)],
[q*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-5)*(q-3)^2],
[Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/72*(q-7)*(q^3-12*q^2+46*q-59)],
[q^2*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/12*(q-1)*(q-3)],
[Phi1^4*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-1)*(q-3)*(q^2-3*q-2)],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q*Phi1^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-3)],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-1)^3],
[q^3*Phi1^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q-1)^2],
[Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q+1)*(q-1)^3],
[q^6*Phi1^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi9*Phi12, 1/2*q*(q-1)],
[q^2*Phi1^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q^7*Phi1*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-1/2],
[Phi1^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*q*(q-3)*(q-1)^2],
[q^3*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-2)],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi9*Phi12, 1/6*q*(q-1)],
[Phi1^4*Phi2^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q*(q-1)*(q^2-2)],
[q^2*Phi1^2*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q+2)*(q-1)],
[q^2*Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q+1)*(q-1)^2],
[q^6*Phi1^2*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q^20*Phi4*Phi5*Phi8*Phi12, 1],
[q*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q-1)*(q^2-2)],
[q^4*Phi1^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q*Phi1^2*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-3)],
[q^12*Phi3^2*Phi4*Phi6*Phi8*Phi9*Phi12, q-2],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-1)*(q^3-2*q^2-2*q+2)],
[q^4*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q^10*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1],
[q^2*Phi1^2*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q-1)*(q^2-2*q-1)],
[q^3*Phi1*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-2)],
[q^8*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-3)*(q-1)^2],
[q^6*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q*Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q-2)*(q-3)],
[q^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-3/2],
[Phi1^3*Phi2^3*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q+1)*(q-2)*(q-1)^2],
[q^2*Phi1^2*Phi2^2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q-3)],
[Phi1^2*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*(q-1)*(q-3)*(q^2-3*q-2)],
[q^10*Phi3^2*Phi5*Phi6*Phi8*Phi9*Phi12, q-2],
[q^2*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)^2],
[q^5*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[q^7*Phi2*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q^6*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-2)*(q-3)],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-1)^2],
[q^6*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q^5*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-5],
[Phi1*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-3)*(q-4)*(q-1)^2],
[q^4*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q^2-15/2*q+29/2],
[q^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-3)*(q-5)],
[q^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)^2],
[q^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-5/2],
[q^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-4)],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q^3-3/8*q^2-25/8*q+91/8],
[q*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q^3-7/2*q^2+63/4*q-47/2],
[q^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*q^2-2/3*q+19/12],
[q*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^3-13/6*q^2+55/6*q-79/6],
[Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-7)*(q^3-14*q^2+61*q-88)],
[1/3*q^7*Phi1^4*Phi2^2*Phi4^2*Phi5*Phi8*Phi9*Phi12, 6],
[1/3*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3*q-3],
[1/3*q^3*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 6],
[1/3*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 2*q-8],
[1/3*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-3/2],
[1/3*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 2*q-2],
[1/3*q^7*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[1/3*q^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[1/3*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-7/2],
[q*Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi9*Phi12, 1/6*q*(q-1)*(q^2+q+1)],
[q^7*Phi1^4*Phi2^2*Phi4^2*Phi5*Phi8*Phi9*Phi12, 1/3*(q+2)*(q-1)],
[q*Phi1^4*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q+2)*(q-1)*(q^2+q-1)],
[q*Phi1^5*Phi2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q-1)*(q+1)*(q^2-q+1)],
[Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*(q-1)*(q^4+q^3+2*q^2+q-2)],
[q^3*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/3*(q+2)*(q-1)],
[Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q+2)*(q-1)*(q^3-q^2-7)],
[q^3*Phi1^4*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[Phi1^4*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q+1)*(q^2-q+1)*(q-1)^2],
[q^6*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q*Phi1^4*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/12*(q^2-q-3)*(q-1)^2],
[q^2*Phi1^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-3)],
[Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q^3-4*q^2-2*q+11)*(q-1)^2],
[Phi1^4*Phi2^3*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^3*Phi1^3*Phi2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q+1)*(q-1)^2],
[q^25*Phi8*Phi9, 1],
[q*Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2*(q-1)*(q+1)],
[q^4*Phi1^2*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q+2)*(q-1)],
[q*Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q+1)*(q-1)^2],
[q^7*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q*(q-1)],
[q^5*Phi1^2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-1/2],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2*(q-1)*(q-2)*(q+1)],
[q^10*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q^15*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 1],
[q^3*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q-1)*(q^2-2)],
[q^3*Phi1^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(3*q-5)*(q-1)*(q+1)],
[q^6*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-2)],
[q*Phi1^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q*(q-3)*(q-1)^2],
[Phi1^3*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q+1)*(q^2-q-1)*(q-1)^2],
[q^2*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q-1)*(q^2-2)],
[q^2*Phi1^2*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-3)],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/24*(q-1)*(11*q^3-22*q^2-16*q+13)],
[q^6*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q^13*Phi3^2*Phi5*Phi6^2*Phi9*Phi12, q-2],
[q^11*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1],
[q^10*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q^4*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q^7*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[Phi1^2*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*(q-1)*(q-3)*(q^3-2*q^2-2*q-1)],
[q^4*Phi1*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-2)],
[q^3*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-1)^2],
[q^7*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q^6*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-5/2],
[q^2*Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q-2)*(q-3)],
[q*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q^2-2*q-4)*(q-1)^2],
[Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q-2)*(q^2-2*q-4)*(q-1)^2],
[q^10*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q^3*Phi1*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-3)*(q-1)^2],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-1)^2],
[q^7*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q^6*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-4)],
[q^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-5],
[q*Phi1*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-3)*(q-4)*(q-1)^2],
[q^7*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*(q-1)*(q-4)],
[q^5*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q^2-8*q+17],
[q^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2-4/3*q+13/6],
[q*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-1)*(q-3)*(q^2-5*q+3)],
[q^6*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)^2],
[q^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2-4/3*q+19/6],
[Phi1*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-5)*(q-1)*(q-3)*(q^2-5*q+3)],
[q^4*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-4)],
[q^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-4)*(q^2-6*q+7)],
[q^2*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q^3-7/2*q^2+63/4*q-47/2],
[q^3*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-5)*(q-3)^2],
[q^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^3-13/6*q^2+55/6*q-79/6],
[q*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/24*(q-7)*(q^3-14*q^2+61*q-88)],
[q*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/72*(q-7)*(q^3-12*q^2+46*q-59)],
[Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/720*(q-5)*(q-7)*(q^3-18*q^2+94*q-137)],
[1/3*Phi1^6*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 2/3*(q+2)*(q-1)],
[1/3*Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-3)],
[1/3*q^3*Phi1^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3*q-3],
[1/3*Phi1^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(2*q-3)],
[1/3*Phi1^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q-3)],
[1/3*q*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3*q-3],
[1/3*q^12*Phi1^4*Phi2^2*Phi4^2*Phi5*Phi8*Phi9, 6],
[1/3*q^4*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 6],
[1/3*q*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 2*q-8],
[1/3*q*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-3/2],
[1/3*Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*(q-1)^2],
[1/3*q^9*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi12, 6],
[1/3*q^3*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3*q-15],
[1/3*Phi1^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q^2-5/2*q+15/2],
[1/3*Phi1^3*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/4*(q-1)^2],
[1/3*q^9*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[1/3*Phi1^6*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi8*Phi9*Phi12, q*(q-1)],
[1/3*Phi1^4*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q*(q-1)],
[1/3*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q*(q-1)],
[1/3*q^3*Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-3/2],
[1/3*q^12*Phi3^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[1/3*q*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 2*q-2],
[1/3*q^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[1/3*Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-2)],
[1/3*q^3*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-15/2],
[1/3*Phi1*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q-3)],
[1/3*q*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-7/2],
[1/3*Phi2^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-7)^2],
[Phi1^6*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/648*(q+2)*(q-1)*(q^2+q-11)*(q^2+q+4)],
[Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/36*(q^4+q^3+2*q^2-q-6)*(q-1)^2],
[q^3*Phi1^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*(q+2)*(q-1)^2],
[Phi1^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/36*(q+2)*(q^3+q^2+2*q-3)*(q-1)^2],
[q^3*Phi1^4*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q+2)*(q-1)*(q^2+q-1)],
[Phi1^5*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/96*(q+1)*(q^3-3*q^2+3*q-3)*(q-1)^2],
[q^6*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/12*(q-1)*(q-3)],
[q^2*Phi1^4*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-1)*(q-3)*(q^2-3*q-2)],
[Phi1^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/1152*(q-3)*(q^3-5*q^2-7*q+23)*(q-1)^2],
[q*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*(q-1)*(q^4+q^3+2*q^2+q-2)],
[Phi1^5*Phi2^3*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/10*q^2*(q-1)*(q+1)*(q^2+1)],
[Phi1^6*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9, 1/12*q^2*(q-1)*(q+1)*(q^2+q+1)],
[q^12*Phi1^4*Phi2^2*Phi4^2*Phi5*Phi8*Phi9, 1/3*(q+2)*(q-1)],
[q^4*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/3*(q+2)*(q-1)],
[q*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q+2)*(q-1)*(q^3-q^2-7)],
[q*Phi1^4*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q+1)*(q^2-q+1)*(q-1)^2],
[q^7*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/24*q^3*(q+1)*(q-1)^2],
[q^15*Phi1*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q^3*Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2*(q-1)*(q+1)],
[q^6*Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q+2)*(q-1)],
[q^3*Phi1^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-3)],
[q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-1)^3],
[q*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q^3-4*q^2-2*q+11)*(q-1)^2],
[Phi1^6*Phi2^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi12, 1/9*(q-1)*(q^3+2)*(q^2+q+1)],
[q^3*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi9*Phi12, 1/6*q*(q-1)*(q^2+q+1)],
[Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/12*(q-1)*(q^5-q^3-3*q^2-5*q+2)],
[q^3*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*(q-1)*(q-3)*(q+2)],
[Phi1^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/108*(q+2)*(q-1)*(q^4-4*q^3+3*q^2-13*q+31)],
[q^3*Phi1^4*Phi2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q-1)*(q+1)*(q^2-q+1)],
[Phi1^5*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi9*Phi12, 1/8*(q^2+1)*(q-1)^2*(q+1)^2],
[q^4*Phi1^4*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi9*Phi12, 1/4*(q-1)*(q+1)],
[q*Phi1^4*Phi2^3*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^36, 1],
[Phi1^4*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*(q-1)*(q^3-3*q^2+3*q-3)*(q+1)^2],
[q^6*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q-1)^2],
[q^5*Phi1^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q^12*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi9*Phi12, 1/2*q*(q-1)],
[q^2*Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q+1)*(q-1)^3],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2*(q-1)*(q-2)*(q+1)],
[q^10*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)^2],
[q^16*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 1],
[q^4*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q-1)*(q^2-2)],
[q^3*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/12*(q^2-q-3)*(q-1)^2],
[Phi1^3*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/96*(q^3-q^2-7*q-1)*(q-1)^3],
[q^4*Phi1^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)^2],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-1)*(q^3-2*q^2-1)],
[q^7*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-2)],
[q^6*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)^2],
[q^2*Phi1^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*q*(q-3)*(q-1)^2],
[Phi1^6*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi8*Phi9*Phi12, 1/72*q*(q+2)*(q-1)*(q^3-2*q^2+2*q-7)],
[Phi1^5*Phi2^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/12*q^3*(q+1)*(q-1)^2],
[q^6*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi8*Phi9*Phi12, 1/6*q*(q-1)],
[q^2*Phi1^4*Phi2^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q*(q-1)*(q^2-2)],
[q^6*Phi1^3*Phi2*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q+1)*(q-1)^2],
[Phi1^4*Phi2^4*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/10*q*(q-1)*(q-2)*(q+1)*(q^2+1)],
[Phi1^4*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/36*q*(q-2)*(q+2)*(q+1)*(q-1)^2],
[q^8*Phi1^2*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q*Phi1^3*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q+1)*(q^2-q-1)*(q-1)^2],
[q^20*Phi3^2*Phi6*Phi9*Phi12, q-2],
[Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/36*q*(q^2-2*q-4)*(q-1)^3],
[q^15*Phi2*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q^3*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q^2-2*q-4)*(q-1)^2],
[q^6*Phi1^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q-1)*(q^2-2*q-1)],
[q^3*Phi1^2*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-3)],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-1)*(q^3-2*q^2-2*q+2)],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-3)*(q-1)^2],
[q^11*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, q-3],
[q*Phi1^2*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*(q-1)*(q-3)*(q^3-2*q^2-2*q-1)],
[q^4*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-1)^2],
[q^8*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-3/2],
[q^7*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-5/2],
[q^3*Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-4)*(q-1)^2],
[Phi1^4*Phi2^4*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/96*(q+1)*(q^2-3)*(q-1)^3],
[q^2*Phi1^3*Phi2^3*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q+1)*(q-2)*(q-1)^2],
[Phi1^3*Phi2^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/32*(q+1)*(q^3-3*q^2-q+5)*(q-1)^2],
[q^4*Phi1^2*Phi2^2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-1)*(q-3)],
[q^2*Phi1^2*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*(q-1)*(q-3)*(q^2-3*q-2)],
[q^12*Phi3^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*(q-1)*(q-4)],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q-2)*(q^2-2*q-4)*(q-1)^2],
[q^10*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)^2],
[Phi1^2*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/192*(q-1)*(q+1)*(q^2-4*q-3)*(q-3)^2],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-1)*(q-3)*(q^2-5*q+3)],
[q^7*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-3)*(q-4)],
[q^6*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*q^2-2/3*q+19/12],
[q^2*Phi1*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-3)*(q-4)*(q-1)^2],
[q^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-4*q+17/2],
[q^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/24*(q-1)*(q-7)],
[Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/216*(q-4)*(q^3-3*q^2+8)*(q-1)^2],
[q^6*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-5)*(q-3)^2],
[q*Phi1*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-5)*(q-1)*(q-3)*(q^2-5*q+3)],
[q^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^3-13/6*q^2+55/6*q-79/6],
[q^3*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-7)*(q-3)*(q-4)],
[Phi1*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/1440*(q-1)*(q-3)*(q-7)*(q^3-9*q^2+25*q-5)],
[q^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/72*(q-7)*(q^3-12*q^2+46*q-59)],
[q^2*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-7)*(q^3-14*q^2+61*q-88)],
[q*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/720*(q-5)*(q-7)*(q^3-18*q^2+94*q-137)],
[Phi2^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/51840*(q-1)*(q-13)*(q^2-14*q+55)*(q-7)^2]
];