DegreesAndMultiplicitiesE6ad_1mod6 := [
[1, 3],
[q*Phi8*Phi9, 3],
[q^2*Phi4*Phi5*Phi8*Phi12, 3],
[Phi3^2*Phi6*Phi9*Phi12, q-4],
[Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 3],
[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-3/2],
[q*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 3],
[Phi2*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 3/2*q-9/2],
[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],
[q*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q-3/2],
[Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-3)],
[q^6*Phi3^3*Phi6^2*Phi9*Phi12, 3],
[q^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[q*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q^2*Phi3^2*Phi5*Phi6*Phi8*Phi9*Phi12, q-4],
[q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q-9/2],
[Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-4*q+19/2],
[Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1],
[Phi1^2*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12, 1/2*q-1/2],
[q^2*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 3],
[Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-7/2],
[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-3/2],
[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, 3/2*q-3/2],
[Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-4)],
[q^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[q*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[q^3*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 3],
[q^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[q*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-7],
[Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-15/2],
[q^2*Phi2*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-9/2],
[q*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-7],
[Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-9/2*q+13],
[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-1)*(q-3)],
[q*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q-3/2],
[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-1)^3],
[q^3*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-3/2],
[Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/4*(q-1)^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-3/2],
[q*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-4)],
[Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/4*(q-1)^2],
[q^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[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+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, 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-1)*(q-3)],
[Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q^2-4*q+7)],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-9/2],
[q^4*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[q^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-7/2],
[q*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-15/2],
[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-9/2],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-9/2*q+13],
[Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q^2-2*q+19/4],
[q*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-4*q+19/2],
[Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-5)*(q^2-6*q+17)],
[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, 3],
[q^5*Phi3^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-4],
[q^4*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 3],
[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-7],
[q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3*q-15],
[q*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-7/2],
[Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-6*q+41/2],
[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, (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)],
[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, 3],
[q^4*Phi1*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-3/2],
[q^13*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12, 3],
[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)*(q-3)],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*(q-1)^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-1)*(q-4)],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q^2-6*q+7)],
[q^6*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3*q-15],
[q^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-7/2],
[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, 3],
[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-7],
[q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3*q-15],
[q^3*Phi2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q^2-12*q+41],
[Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/24*q^2-1/3*q+31/24],
[q^4*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-9/2],
[q^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-4*q+19/2],
[q*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-4*q+19/2],
[q*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-9/2*q+13],
[Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-7)*(q^2-8*q+25)],
[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+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-5)],
[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*(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-3/2],
[Phi1^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q-4)*(q+1)],
[q^6*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-3/2],
[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)*(q-4)],
[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, 3/2*q-3/2],
[q^3*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*(q-1)^2],
[q^7*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3],
[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-1)*(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-3)],
[q^6*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-9/2],
[q^3*Phi1*Phi2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-3)],
[q^2*Phi1*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-4)],
[q^7*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 3],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q^2-6*q+7)],
[q^7*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3*q-15],
[Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-1)*(q^2-5*q+10)],
[q^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q*Phi1*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q^2-4*q+7)],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-1)*(q-3)*(q^2-5*q+7)],
[q^6*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q-9/2],
[q^4*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-4*q+19/2],
[q^4*Phi2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q^2-21/2*q+67/2],
[q*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2-4/3*q+31/6],
[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-15/2],
[q^3*Phi2^2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-4*q+19/2],
[q^2*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-9/2*q+13],
[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^3-7/6*q^2+79/12*q-33/2],
[q*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-5)*(q^2-6*q+17)],
[Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/72*(q-7)*(q^3-12*q^2+54*q-115)],
[q^2*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q-1)*(q-3)],
[Phi1^4*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-1)*(q-3)*(q-5)*(q+2)],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q-3/2],
[q*Phi1^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q-4)*(q+1)],
[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, 3/4*(q-1)^2],
[Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q^2-3)*(q-1)^2],
[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, 3/2*q-3/2],
[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-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+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, 3],
[q*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/3*(q-1)*(q+2)*(q-4)],
[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-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-1)*(q-3)],
[q^10*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[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-4)],
[q^8*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12, 3],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q^2-4*q+7)],
[q^6*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-7/2],
[q*Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q^2-5*q+10)],
[q^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-7/2],
[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-4],
[q^2*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/4*(q-1)^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-9/2],
[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-1)*(q^2-6*q+7)],
[q^6*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q^5*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3*q-15],
[Phi1*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-1)*(q-3)*(q^2-5*q+8)],
[q^4*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q^2-21/2*q+67/2],
[q^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q^2-2*q+31/4],
[q^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-4*q+19/2],
[q^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-15/2],
[q^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-9/2*q+13],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*q^3-3/8*q^2-49/8*q+243/8],
[q*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q^3-7/2*q^2+79/4*q-99/2],
[q^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q^2-2*q+19/4],
[q*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-7)*(q^2-8*q+25)],
[Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-7)*(q^3-14*q^2+69*q-176)],
[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-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*(q-1)*(q^3+q^2-2*q-3)],
[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, 3/2*q-3/2],
[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-1)*(q-4)*(q+1)],
[Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-1)*(q^4-5*q^3+2*q^2+13*q+13)],
[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, 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*(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*(q^2-2)*(q-1)^2],
[q^10*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3/2*q-3/2],
[q^15*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 3],
[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, 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-4)],
[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)*(q-4)],
[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, 11/24*(q-1)*(q^3-2*q^2+7)],
[q^6*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q-3)],
[q^13*Phi3^2*Phi5*Phi6^2*Phi9*Phi12, q-4],
[q^11*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 3],
[q^10*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q^4*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*(q-1)^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-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-4)],
[q^3*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q^2-6*q+7)],
[q^7*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q^6*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-15/2],
[q^2*Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(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-9/2],
[q^3*Phi1*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q^2-4*q+7)],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*(q-1)*(q^2-6*q+7)],
[q^7*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, q-7],
[q^6*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-9/2*q+13],
[q^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3*q-15],
[q*Phi1*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q-3)*(q^2-5*q+8)],
[q^7*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12, 1/6*q^2-5/6*q+5/3],
[q^5*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-7/2],
[q^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, q^2-12*q+41],
[q^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*q^2-4/3*q+31/6],
[q*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-1)*(q-3)*(q^2-5*q+7)],
[q^6*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-4*q+19/2],
[q^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-4*q+19/2],
[Phi1*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-1)*(q-3)*(q^3-10*q^2+28*q-31)],
[q^4*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-9/2*q+13],
[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^3-7/2*q^2+79/4*q-99/2],
[q^3*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-5)*(q^2-6*q+17)],
[q^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-7)*(q^2-8*q+25)],
[q*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/24*(q-7)*(q^3-14*q^2+69*q-176)],
[q*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/72*(q-7)*(q^3-12*q^2+54*q-115)],
[Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/720*(q-7)*(q^4-23*q^3+184*q^2-687*q+1365)],
[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^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-1)*(q^5+2*q^4+q^3-3*q^2-q+6)],
[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+1)*(q^3-3*q^2+3*q-3)*(q-1)^2],
[q^6*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12, 1/4*(q-1)*(q-3)],
[q^2*Phi1^4*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-1)*(q-3)*(q-5)*(q+2)],
[Phi1^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/1152*(q-1)*(q-3)*(q^4-6*q^3-2*q^2+30*q+73)],
[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*(q-1)*(q^3+q^2-2*q-3)],
[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, 3/2*q-3/2],
[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, 3/2*q-3/2],
[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-1)*(q-4)*(q+1)],
[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-1)*(q^4-5*q^3+2*q^2+13*q+13)],
[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-1)*(q^5-2*q^4-5*q^3-7*q^2+11*q+38)],
[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, 3],
[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, 3/4*(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^2-3)*(q-1)^2],
[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-1)*(q-3)],
[q^16*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12, 3],
[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^2-q-3)*(q-1)^2],
[Phi1^3*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/96*(q^4-2*q^3-6*q^2+6*q+25)*(q-1)^2],
[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-4)],
[q^6*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/4*(q-1)^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-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, 1/2*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+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-1)*(q^4-5*q^2+10)],
[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-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-9/2],
[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-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+10)],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*(q-1)*(q^2-4*q+7)],
[q^11*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12, q-7],
[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-1)*(q^2-6*q+7)],
[q^8*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q-7/2],
[q^7*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 3/2*q-15/2],
[q^3*Phi1*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*(q-1)*(q^2-5*q+10)],
[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^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^2-4*q+19/2],
[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+7)],
[q^7*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-9/2*q+13],
[q^6*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/4*q^2-2*q+19/4],
[q^2*Phi1*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/8*(q-1)*(q-3)*(q^2-5*q+8)],
[q^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/2*q^2-6*q+41/2],
[q^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/24*q^2-1/3*q+31/24],
[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-5)*(q^2-6*q+17)],
[q*Phi1*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-1)*(q-3)*(q^3-10*q^2+28*q-31)],
[q^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/6*(q-7)*(q^2-8*q+25)],
[q^3*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/12*q^3-7/6*q^2+79/12*q-33/2],
[Phi1*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/1440*(q-1)*(q-3)*(q^4-16*q^3+88*q^2-180*q+155)],
[q^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/72*(q-7)*(q^3-12*q^2+54*q-115)],
[q^2*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/48*(q-7)*(q^3-14*q^2+69*q-176)],
[q*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/720*(q-7)*(q^4-23*q^3+184*q^2-687*q+1365)],
[Phi2^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12, 1/51840*(q^4-28*q^3+264*q^2-952*q+2155)*(q-7)^2]
];