DegreesAndMultiplicitiesE6ad_4mod6 := [
[1, 3],
[q*Phi8*Phi9, 3],
[q^2*Phi4*Phi5*Phi8*Phi12, 3],
[Phi3^2*Phi6*Phi9*Phi12, q-4],
[1/2*q^3*Phi1^4*Phi3^2*Phi5*Phi9, 3],
[1/2*q^3*Phi5*Phi6^2*Phi8*Phi9, 3],
[1/2*q^3*Phi5*Phi8*Phi9*Phi12, 3],
[1/2*q^3*Phi4^2*Phi5*Phi9*Phi12, 3],
[Phi1*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 3/2*q],
[Phi2*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 3/2*q-3],
[q^4*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12, 3],
[q*Phi3^2*Phi5*Phi6^2*Phi9*Phi12, q-4],
[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, 3],
[q^2*Phi3^2*Phi4*Phi6*Phi8*Phi9*Phi12, q-4],
[Phi3^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q^2-5/6*q+5/3],
[q^5*Phi4*Phi5*Phi8*Phi9*Phi12, 3],
[Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q],
[Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[q^6*Phi3^3*Phi6^2*Phi9*Phi12, 3],
[q*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q^2*Phi3^2*Phi5*Phi6*Phi8*Phi9*Phi12, q-4],
[q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q-3],
[Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[1/6*q^7*Phi4^2*Phi5*Phi6^2*Phi8*Phi9, 3],
[1/6*q^7*Phi2^4*Phi5*Phi8*Phi9*Phi12, 3],
[1/3*q^7*Phi1^6*Phi2^4*Phi4^2*Phi5*Phi8, 6],
[1/3*q^7*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[1/3*q^7*Phi3^3*Phi5*Phi6^2*Phi8*Phi12, 3],
[1/2*q^7*Phi1^4*Phi3^2*Phi5*Phi8*Phi9, 3],
[1/2*q^3*Phi1^4*Phi3^3*Phi5*Phi6*Phi9*Phi12, q-4],
[1/2*q^7*Phi4^2*Phi5*Phi8*Phi9*Phi12, 3],
[1/2*q^3*Phi3^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-4],
[1/2*q^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi9*Phi12, q-4],
[1/2*q^3*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, q-4],
[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, 3/2*q],
[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, 3/2*q],
[Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[q*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-6],
[q^2*Phi2*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-3],
[q*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-4],
[Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[q*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q^2-5/6*q+5/3],
[Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*q*(q-4)],
[q*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q],
[Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q+2)*(q-1)],
[Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q*(q-1)*(q-2)],
[q^3*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q],
[Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/4*q*(q-2)],
[q^12*Phi4^2*Phi8*Phi9*Phi12, 3],
[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, 3/2*q],
[q*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/4*q*(q-2)],
[q^3*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi8*Phi9*Phi12, 1/2*q*(q-1)],
[Phi1^3*Phi2*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*q^2*(q-1)],
[Phi1^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-2)],
[q^10*Phi3^3*Phi6^2*Phi9*Phi12, 3],
[q^6*Phi3^3*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q^2-5*q+10)],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-3],
[q*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-6],
[q^4*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, q-4],
[q^2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-5/2*q+5],
[q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q-3],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-4)^2],
[q*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-4)*(q^2-7*q+18)],
[Phi1^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q*(q-1)],
[q^11*Phi4*Phi5*Phi8*Phi9*Phi12, 3],
[q^5*Phi3^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q^2*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[q^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3*q-12],
[Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)*(q-7)],
[q*Phi1^2*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, (q+2)*(q-1)],
[Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q-1)*(q+2)*(q-4)],
[q^4*Phi1*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 3/2*q],
[q^13*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12, 3],
[q^2*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q*(q-2)],
[q^4*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 6],
[q*Phi1*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-3)*(q-4)],
[q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3*q-12],
[q^6*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, q-4],
[q^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3*q-12],
[q^3*Phi2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, (q-4)*(q-7)],
[q^4*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-3],
[q^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[q*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[q*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-4)*(q^2-11*q+34)],
[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, 3],
[1/2*q^7*Phi1^4*Phi3^3*Phi5*Phi6*Phi9*Phi12, q-4],
[1/2*q^3*Phi1^4*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q^2-5/6*q+5/3],
[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, 3],
[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, 3],
[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, 3],
[1/2*q^7*Phi3^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-4],
[1/2*q^7*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi9*Phi12, q-4],
[1/2*q^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2-5/6*q+5/3],
[1/2*q^7*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, q-4],
[1/2*q^3*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q^2-5/6*q+5/3],
[1/2*q^3*Phi2^4*Phi3^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2-5/6*q+5/3],
[Phi1^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q*(q+2)*(q-1)],
[Phi1^4*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q+2)*(q-1)*(q^2+q-5)],
[q*Phi1^4*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q*(q-1)],
[Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q*(q+2)*(q-1)^2],
[q^3*Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, (q+2)*(q-1)],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q],
[Phi1^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q+1)*(q-4)],
[q^6*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q],
[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-2)*(q+2)],
[Phi1^4*Phi2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*q^3*(q-1)],
[q*Phi1^3*Phi2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q^2*(q-1)],
[q^2*Phi1^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q*(q-1)],
[q*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q-1)*(q+2)*(q-4)],
[Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/12*q*(q-1)*(q^2-2*q-2)],
[q*Phi1^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/8*q*(q-1)*(q-2)],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q^2*(q-1)*(q-2)],
[q^6*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q],
[q^3*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q*(q-2)],
[q^6*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[q^2*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q+2)*(q-1)*(q^2-5*q+10)],
[Phi1^2*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-2)],
[q^6*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-3],
[q^3*Phi1*Phi2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[q^2*Phi1*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-3)*(q-4)],
[q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3*q-12],
[Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*q*(q^2-5*q+10)],
[q*Phi1*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q^2-5*q+10)],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*q*(q-4)*(q^2-5*q+10)],
[q^6*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q-3],
[q^4*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[q^4*Phi2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)*(2*q-11)],
[q^3*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[q^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-6],
[q^3*Phi2^2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[q^2*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[q*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-4)*(q^2-8*q+13)],
[Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-4)*(q^2-9*q+32)],
[q*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-4)*(q^2-7*q+18)],
[Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/72*(q-4)*(q^3-15*q^2+78*q-172)],
[q^2*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*q*(q-4)],
[Phi1^4*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*q*(q-5)*(q+2)*(q-4)],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q],
[q*Phi1^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q+1)*(q-4)],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q*(q-1)*(q-2)],
[q^3*Phi1^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q*(q-1)],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3/4*q*(q-2)],
[Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q^3-2*q^2-2*q+6)],
[q^6*Phi1^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi9*Phi12, 1/2*q*(q-1)],
[q^7*Phi1*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 3/2*q],
[Phi1^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*q*(q-1)*(q-2)^2],
[q^3*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi9*Phi12, 1/2*q*(q-1)],
[Phi1^4*Phi2^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q*(q-1)*(q-2)*(q+2)],
[q^2*Phi1^2*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q+2)*(q-1)],
[q^2*Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*q^2*(q-1)],
[q^20*Phi4*Phi5*Phi8*Phi12, 3],
[q*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q-1)*(q+2)*(q-4)],
[q*Phi1^2*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-2)],
[q^12*Phi3^2*Phi4*Phi6*Phi8*Phi9*Phi12, q-4],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-1)*(q^3-2*q^2+10)],
[q^4*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[q^2*Phi1^2*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-2)],
[q^3*Phi1*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q^2-5*q+10)],
[q*Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q^2-5*q+10)],
[Phi1^3*Phi2^3*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q^2*(q-1)*(q-2)],
[Phi1^2*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*q*(q-1)*(q-2)*(q-4)],
[q^10*Phi3^2*Phi5*Phi6*Phi8*Phi9*Phi12, q-4],
[q^2*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/4*q*(q-2)],
[q^5*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[q^7*Phi2*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-3],
[q^6*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-5/2*q+5],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-3)*(q-4)],
[q^6*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q^5*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3*q-12],
[Phi1*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q*(q-4)*(q^2-5*q+10)],
[q^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)*(2*q-11)],
[q^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[q^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-6],
[q^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-4)*(q^2+q-38)],
[q*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-4)*(q^2-9*q+32)],
[q^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-4)^2],
[q*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-4)*(q^2-11*q+34)],
[Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-4)*(q^3-17*q^2+96*q-236)],
[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-5)],
[q*Phi1^5*Phi2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*q^3*(q-1)],
[Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q*(q-1)*(q+1)*(q^2+2)],
[Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q-1)*(q^4+q^3-2*q^2+6)],
[q^3*Phi1^4*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q*(q-1)],
[Phi1^4*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q^3*(q-1)^2],
[q^6*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q],
[q*Phi1^4*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/12*q*(q-1)*(q^2-2*q-2)],
[q^2*Phi1^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q+1)*(q-4)],
[Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*q*(q^4-6*q^3+7*q^2+6*q+16)],
[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^2*(q-1)],
[q^25*Phi8*Phi9, 3],
[q*Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q*(q+2)*(q-1)^2],
[q^4*Phi1^2*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, (q+2)*(q-1)],
[q*Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q^3*(q-1)],
[q^7*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q*(q-1)],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q*(q^2-2)*(q-1)^2],
[q^10*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q],
[q^3*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q-1)*(q+2)*(q-4)],
[q^3*Phi1^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/8*q*(q-1)*(q-2)],
[q^6*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[q*Phi1^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q*(q-1)*(q-2)^2],
[Phi1^3*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q^2*(q-1)*(q-2)*(q+1)],
[q^2*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q-1)*(q+2)*(q-4)],
[q^2*Phi1^2*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-2)],
[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+80)],
[q^6*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[q^13*Phi3^2*Phi5*Phi6^2*Phi9*Phi12, q-4],
[q^10*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q^4*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q*(q-2)],
[q^7*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[Phi1^2*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*q*(q-1)*(q-2)*(q^2-3*q-2)],
[q^4*Phi1*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[q^3*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-3)*(q-4)],
[q^6*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-6],
[q^2*Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q^2-5*q+10)],
[q*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q+2)*(q-1)*(q^2-5*q+10)],
[Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q-1)*(q-4)*(q^3-q^2+6)],
[q^10*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q-3],
[q^3*Phi1*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q^2-5*q+10)],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-3)*(q-4)],
[q^7*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q^6*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[q^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3*q-12],
[q*Phi1*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q-4)*(q^2-5*q+10)],
[q^7*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q^2-5/6*q+5/3],
[q^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, (q-4)*(q-7)],
[q*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*q*(q-4)*(q^2-5*q+10)],
[q^6*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[q^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[Phi1*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*q*(q-4)*(q^3-10*q^2+31*q-46)],
[q^4*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[q^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-4)*(q^2-8*q+13)],
[q^2*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-4)*(q^2-9*q+32)],
[q^3*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-4)*(q^2-7*q+18)],
[q^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-4)*(q^2-11*q+34)],
[q*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/24*(q-4)*(q^3-17*q^2+96*q-236)],
[q*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/72*(q-4)*(q^3-15*q^2+78*q-172)],
[Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/720*(q-4)*(q^4-26*q^3+241*q^2-996*q+1980)],
[Phi1^6*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/648*(q+2)*(q-1)*(q^4+2*q^3-6*q^2-7*q+28)],
[Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/36*q*(q-1)*(q^4+q^2-3*q-8)],
[q^3*Phi1^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q*(q+2)*(q-1)],
[Phi1^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/36*q*(q-1)*(q^4+2*q^3+q^2-3*q-4)],
[q^3*Phi1^4*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q+2)*(q-1)*(q^2+q-5)],
[Phi1^5*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/96*q^3*(q-2)*(q-1)^2],
[q^6*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*q*(q-4)],
[q^2*Phi1^4*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*q*(q-5)*(q+2)*(q-4)],
[Phi1^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/1152*q*(q-4)*(q^4-6*q^3+q^2+24*q+76)],
[q*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q*(q-1)*(q+1)*(q^2+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*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q-1)*(q^4+q^3-2*q^2+6)],
[q*Phi1^4*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q^3*(q-1)^2],
[q^7*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q],
[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, 3/2*q],
[q^3*Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q*(q+2)*(q-1)^2],
[q^6*Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q+2)*(q-1)],
[q^3*Phi1^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q+1)*(q-4)],
[q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q*(q-1)*(q-2)],
[q*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*q*(q^4-6*q^3+7*q^2+6*q+16)],
[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*(q-1)*(q-2)*(q^3+2*q^2+3*q+3)],
[q^3*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*(q-1)*(q-2)*(q+2)],
[Phi1^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/108*(q-1)*(q^5-2*q^4-5*q^3-7*q^2+2*q+20)],
[q^3*Phi1^4*Phi2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*q^3*(q-1)],
[Phi1^5*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi9*Phi12, 1/8*q^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, 3],
[Phi1^4*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*q^3*(q-1)*(q-2)*(q+1)],
[q^6*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/4*q*(q-2)],
[q^5*Phi1^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q*(q-1)],
[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*(q^3-2*q^2-2*q+6)],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q*(q^2-2)*(q-1)^2],
[q^10*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[q^4*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q-1)*(q+2)*(q-4)],
[q^3*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/12*q*(q-1)*(q^2-2*q-2)],
[Phi1^3*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/96*q*(q-2)*(q^4-2*q^3-5*q^2+6*q+24)],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q^2*(q-1)*(q-2)],
[q^7*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-4)],
[q^6*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/4*q*(q-2)],
[q^9*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[q^2*Phi1^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*q*(q-1)*(q-2)^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, 1/2*q*(q-1)],
[q^2*Phi1^4*Phi2^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q*(q-1)*(q-2)*(q+2)],
[q^6*Phi1^3*Phi2*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*q^2*(q-1)],
[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-1)*(q^4-5*q^2+10)],
[q*Phi1^3*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q^2*(q-1)*(q-2)*(q+1)],
[q^20*Phi3^2*Phi6*Phi9*Phi12, q-4],
[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, 3/2*q-3],
[q^3*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q+2)*(q-1)*(q^2-5*q+10)],
[q^6*Phi1^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-2)],
[q^3*Phi1^2*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q-1)*(q-2)],
[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+10)],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q*(q^2-5*q+10)],
[q^11*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q*Phi1^2*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*q*(q-1)*(q-2)*(q^2-3*q-2)],
[q^4*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q*(q-3)*(q-4)],
[q^7*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-6],
[q^3*Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*q*(q^2-5*q+10)],
[Phi1^4*Phi2^4*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/96*q^2*(q-2)*(q+2)*(q-1)^2],
[q^2*Phi1^3*Phi2^3*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q^2*(q-1)*(q-2)],
[Phi1^3*Phi2^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/32*q^2*(q-1)*(q-2)*(q^2-q-4)],
[q^2*Phi1^2*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/16*q*(q-1)*(q-2)*(q-4)],
[q^12*Phi3^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q^2-5/6*q+5/3],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/18*(q-1)*(q-4)*(q^3-q^2+6)],
[q^10*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[Phi1^2*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/192*q*(q-1)*(q-2)*(q-4)*(q^2-3*q-6)],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*q*(q-4)*(q^2-5*q+10)],
[q^7*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)^2],
[q^6*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-4)^2],
[q^2*Phi1*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q*(q-4)*(q^2-5*q+10)],
[q^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-4)*(q-7)],
[Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/216*(q-1)*(q^5-8*q^4+19*q^3-4*q^2-28*q+56)],
[q^6*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-4)*(q^2-7*q+18)],
[q*Phi1*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*q*(q-4)*(q^3-10*q^2+31*q-46)],
[q^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-4)*(q^2-11*q+34)],
[q^3*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-4)*(q^2-9*q+32)],
[Phi1*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/1440*q*(q-4)*(q^4-16*q^3+91*q^2-216*q+260)],
[q^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/72*(q-4)*(q^3-15*q^2+78*q-172)],
[q^2*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-4)*(q^3-17*q^2+96*q-236)],
[q*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/720*(q-4)*(q^4-26*q^3+241*q^2-996*q+1980)],
[Phi2^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/51840*(q-4)*(q-10)*(q^2-5*q+16)*(q^2-23*q+142)]
];