DegreesAndMultiplicitiesD7ad_3mod4 := [
[1, 2],
[q*Phi7*Phi10, 2],
[Phi1^2*Phi3*Phi6*Phi7, q],
[q^2*Phi3*Phi4*Phi6*Phi12, 2],
[Phi4*Phi7*Phi12, q-2],
[q^2*Phi3*Phi6^2*Phi7*Phi12, 2],
[Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi12, 1],
[Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, 1],
[1/2*q^3*Phi1^4*Phi3*Phi5*Phi6*Phi7, 2],
[1/2*q^3*Phi4^2*Phi7*Phi10*Phi12, 2],
[1/2*q^3*Phi3*Phi6*Phi7*Phi8*Phi10, 2],
[1/2*q^3*Phi5*Phi7*Phi8*Phi12, 2],
[q*Phi1^2*Phi3*Phi4^2*Phi6*Phi7*Phi12, q],
[Phi1*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, q-1],
[q*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, 2],
[q^3*Phi5*Phi7*Phi10*Phi12, 2],
[Phi2^3*Phi4^2*Phi6*Phi8*Phi10*Phi12, q-3],
[Phi2*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, q-3],
[q*Phi3*Phi4*Phi6*Phi7*Phi8*Phi12, q-2],
[Phi1^2*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, 1/4*(q-1)^2],
[q^2*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi10, q],
[q*Phi1*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, q-1],
[Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi7*Phi12, 1/2*(q-1)*(q+1)],
[q^2*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi12, 1],
[Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi12, 1/2*q^2-q-1/2],
[Phi1*Phi2*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, 1/2*(q-1)^2],
[q^6*Phi3*Phi5*Phi6*Phi10*Phi12, 2],
[q^2*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, 1],
[q^2*Phi4*Phi5*Phi7*Phi10*Phi12, q-2],
[q*Phi2*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, q-3],
[Phi2^2*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, 1/4*(q-3)^2],
[Phi1^2*Phi3*Phi4*Phi5*Phi7*Phi10*Phi12, 1],
[Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^4*Phi1^4*Phi3*Phi4*Phi5*Phi7*Phi12, 2],
[1/2*q^4*Phi4*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^4*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, 2],
[1/2*q^4*Phi3*Phi4^3*Phi7*Phi10*Phi12, 2],
[q^2*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi10*Phi12, q],
[q^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, q-2],
[Phi1^3*Phi3*Phi4^2*Phi5*Phi7*Phi10*Phi12, q-1],
[q*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[Phi1^3*Phi3*Phi4^2*Phi5*Phi7*Phi8*Phi12, 1/2*(q-1)^2],
[q*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[q^5*Phi3^2*Phi6^2*Phi7*Phi10*Phi12, 2],
[q*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[q^5*Phi3*Phi5*Phi6*Phi7*Phi10*Phi12, 2],
[q^3*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, 2*q-4],
[q*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[Phi2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, q-3],
[Phi2^3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)^2],
[Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-1],
[q^2*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, 1],
[q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi7*Phi10*Phi12, 1],
[q^6*Phi3*Phi4*Phi6^2*Phi7*Phi8*Phi12, 2],
[q^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^2*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 2],
[Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q-3/2],
[Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-3],
[1/2*q^3*Phi1^2*Phi3*Phi6^2*Phi7*Phi8*Phi10*Phi12, q],
[1/2*q^7*Phi1^4*Phi3^2*Phi5*Phi7*Phi10, 2],
[1/2*q^3*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi12, q-2],
[1/2*q^3*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi7*Phi10*Phi12, q],
[1/2*q^3*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi12, q],
[1/2*q^7*Phi5*Phi6^2*Phi7*Phi8*Phi10, 2],
[1/2*q^3*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi12, q],
[1/2*q^7*Phi5*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi3^2*Phi4*Phi6*Phi7*Phi8*Phi10*Phi12, q-2],
[1/2*q^7*Phi4^2*Phi5*Phi7*Phi10*Phi12, 2],
[1/2*q^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi12, q-2],
[1/2*q^3*Phi2^4*Phi3*Phi4*Phi6^2*Phi7*Phi10*Phi12, q-2],
[q*Phi1^4*Phi3*Phi4^2*Phi5*Phi7*Phi10*Phi12, q-1],
[Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*(q-1)^2],
[q^3*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[q*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, q-1],
[q^2*Phi1*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[q^2*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-1],
[q*Phi1^3*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[q^3*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[q*Phi1^2*Phi3*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, 1],
[q*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q^2-q-1/2],
[Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q*(q-3)],
[Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*(q-1)^2],
[q^3*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[q^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[q*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^3*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^2*Phi2*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-3],
[q*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[q*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*(q-3)^2],
[1/2*q^6*Phi1^4*Phi3*Phi5*Phi7*Phi10*Phi12, 2],
[1/2*q^6*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^6*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 2],
[1/2*q^6*Phi3*Phi5*Phi7*Phi8*Phi10*Phi12, 2],
[Phi1^4*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/24*(q-1)*(q-2)*(q-3)],
[q*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^2*Phi1^2*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*q*(q-1)*(q+1)],
[Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, q-1],
[q^2*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q+1/2],
[q^3*Phi1^3*Phi3*Phi4^2*Phi5*Phi7*Phi10*Phi12, q-1],
[Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/4*q*(q-1)^2],
[q^6*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10, q],
[Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q^2-3*q+12)],
[q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q-1/2],
[q^3*Phi1*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi7*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[q^2*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, 1/2*(q-1)*(q+1)],
[Phi1^2*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[q^6*Phi1^2*Phi3*Phi4*Phi5*Phi7*Phi10*Phi12, 1],
[q^4*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, 1],
[q^12*Phi4*Phi5*Phi8*Phi10*Phi12, 2],
[q^6*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^2*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[q*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q*(q-3)],
[q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi12, 1/2*q^2-q-1/2],
[q^2*Phi1*Phi2*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[q*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^2*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3],
[q^4*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/4*(q-1)*(q-2)*(q+1)],
[q^2*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q-3/2],
[Phi1^2*Phi3^2*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, 1/4*q-3/4],
[Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/8*(q-3)*(q^2-3*q-2)],
[Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-2)*(q-1)^2],
[q^6*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, q-2],
[q^3*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[Phi2^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/4*q-15/4],
[q^3*Phi2*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi2^2*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)^2],
[q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-5)*(q-3)*(q-4)],
[q^2*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^7*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 2],
[q^3*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[q*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2*q-6],
[q^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi2^3*Phi4^3*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[Phi2^3*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[1/2*q^8*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi12, 2],
[1/2*q^4*Phi1^4*Phi3^2*Phi4*Phi5*Phi7*Phi10*Phi12, q-2],
[1/2*q^4*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q],
[1/2*q^8*Phi3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^4*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 2*q],
[1/2*q^4*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-2],
[1/2*q^8*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi12, 2],
[1/2*q^8*Phi3^2*Phi4^2*Phi6*Phi7*Phi10*Phi12, 2],
[1/2*q^4*Phi2^4*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-2],
[1/2*q^4*Phi3^2*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, q-2],
[Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, 1/4*(q+1)*(q-1)^2],
[q^2*Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[q^2*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, q-1],
[q^4*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi12, 1/4*(q-1)*(q^2-2*q-1)],
[q*Phi1^3*Phi3*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[q^2*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/4*(q-1)^2],
[Phi1^2*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2+1)],
[q^3*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^8*Phi3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 2],
[q^2*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[Phi1*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^4*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^2*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q*Phi2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[q*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[q^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)^2],
[q*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)^2],
[Phi2^4*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2-8*q+17)],
[1/2*q^3*Phi1^4*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[1/2*q^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi3^2*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi2^4*Phi3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[1/2*q^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi2^4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, q-1],
[q^5*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, q],
[q^3*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[q*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1^3*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^3*Phi1^2*Phi3*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1],
[q*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q-3],
[Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(2*q-1)*(q-3)],
[q^9*Phi4^3*Phi7*Phi8*Phi10*Phi12, 2],
[q^3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^9*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, 2],
[q^5*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-2],
[q^3*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3],
[q^2*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3*q-9],
[Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi2^4*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/2*q-15/2],
[Phi2^3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(2*q-9)],
[1/2*q^3*Phi1^5*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, q-1],
[1/2*q^4*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 2],
[1/2*q^10*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi12, 2],
[1/2*q^3*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, q-3],
[1/2*q^10*Phi3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-1],
[1/2*q^3*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-1],
[1/2*q^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 2],
[1/2*q^10*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi12, 2],
[1/2*q^3*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[1/2*q^3*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^10*Phi3^2*Phi4^2*Phi6*Phi7*Phi10*Phi12, 2],
[1/2*q^3*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-3],
[1/2*q^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi12, q-1],
[q^2*Phi1^4*Phi3*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, q-1],
[Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q-11)],
[q*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*(q-1)*(q-3)],
[q^6*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q],
[q*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^6*Phi1^2*Phi3^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, q],
[q^4*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[q^2*Phi1^2*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 4*q-4],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[Phi1^3*Phi2^3*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*(q-1)*(q+1)],
[Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-1)],
[q^6*Phi1^2*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi12, 1],
[Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/4*q^2-7/2*q+5/4],
[q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[q*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-3)],
[q^10*Phi3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 2],
[q^6*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3],
[q^4*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-7)],
[q^6*Phi3^2*Phi4*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-7)],
[q^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3],
[q*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q-3/2],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^6*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-2],
[q^2*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/2*q-15/2],
[q^6*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-2],
[q^4*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[q^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-9/2],
[q*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-9/2],
[q^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q^2*Phi2^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q*Phi2^3*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(7*q-31)],
[q*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[1/2*q^3*Phi1^6*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/4*(q-1)^2],
[1/2*q^4*Phi1^5*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, q-1],
[1/2*q^3*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*(q-1)^2],
[1/2*q^3*Phi1^3*Phi2*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[1/2*q^5*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[1/2*q^5*Phi1^2*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi1^2*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q],
[1/2*q^3*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*q^2-3/2*q-1/4],
[1/2*q^3*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*(q-1)^2],
[1/2*q^13*Phi1^4*Phi3^2*Phi5*Phi7*Phi10, 2],
[1/2*q^4*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, q-3],
[1/2*q^4*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-1],
[1/2*q^13*Phi5*Phi6^2*Phi7*Phi8*Phi10, 2],
[1/2*q^4*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-1],
[1/2*q^7*Phi1^4*Phi3^2*Phi4*Phi5*Phi7*Phi8*Phi12, q-2],
[1/2*q^3*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/4*(q-3)^2],
[1/2*q^3*Phi1^3*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[1/2*q^5*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[1/2*q^3*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/4*q^2-3/2*q-1/4],
[1/2*q^7*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi12, 2*q],
[1/2*q^3*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[1/2*q^5*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[1/2*q^5*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q^2-q-1/2],
[1/2*q^3*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*(q-1)^2],
[1/2*q^7*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi12, q-2],
[1/2*q^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[1/2*q^13*Phi5*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^4*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[1/2*q^13*Phi4^2*Phi5*Phi7*Phi10*Phi12, 2],
[1/2*q^4*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^4*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-3],
[1/2*q^3*Phi1^3*Phi2^5*Phi3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[1/2*q^5*Phi1^2*Phi2^4*Phi3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q^2-q-1/2],
[1/2*q^7*Phi2^4*Phi4*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-2],
[1/2*q^3*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[1/2*q^3*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)^2],
[1/2*q^5*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi3^2*Phi4^3*Phi7*Phi8*Phi10*Phi12, q-2],
[1/2*q^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*(q-3)^2],
[1/2*q^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)^2],
[q*Phi1^4*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-1)*(q-2)*(q+9)],
[Phi1^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)^2],
[q^3*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, q-1],
[q^2*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^3*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*(q-1)*(q-3)],
[Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q+1)*(q-1)^2],
[q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^4*Phi1^3*Phi3*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, q-1],
[q^2*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q^2*(q-1)],
[Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)^2],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi12, 1/2*(q-1)^2],
[q^5*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[q^3*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[q^6*Phi1*Phi3^2*Phi4*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-1],
[Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(3*q-5)*(q-1)^2],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-1],
[q*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(q-3)],
[q^2*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[q*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[q^7*Phi1^2*Phi3*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, 2],
[q^5*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^3*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q-3],
[q^2*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-3)],
[q*Phi1^2*Phi2^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[q*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(3*q-7)],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q*(q-3)],
[q^4*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[q^2*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-2)],
[q^7*Phi3^2*Phi4*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2],
[q*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(3*q-7)],
[q^7*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[q^5*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[q^2*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-2)*(q+1)],
[Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)*(q+1)],
[q^3*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q+6)],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q^2-4*q+1)],
[q^11*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 2],
[q^6*Phi2*Phi3^2*Phi4*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^5*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3],
[q*Phi1*Phi2^3*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(5*q-11)*(q-1)*(q-3)],
[q*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-2)*(q-1)^2],
[q^7*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 2*q-4],
[q^5*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[q^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3*q-9],
[q^4*Phi2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-9/2],
[q^3*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^3*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 11/2*q-33/2],
[q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*(q-3)*(q-4)],
[q^2*Phi2^3*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2*q-6],
[q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(7*q-31)],
[q^2*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[q^4*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(2*q-9)],
[q^2*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)^2],
[q*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*(q-3)*(q-5)^2],
[q*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-5)*(q-3)*(q-4)],
[1/2*q^12*Phi1^4*Phi3*Phi5*Phi7*Phi10*Phi12, 2],
[1/2*q^4*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^4*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^3*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q-2],
[1/2*q^4*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^12*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 2*q-2],
[1/2*q^4*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^12*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 2],
[1/2*q^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^12*Phi3*Phi5*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^4*Phi2^4*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi2^5*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[Phi1^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-1)*(q-5)*(q-3)^2],
[q^2*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/24*(q-1)*(q-2)*(q-3)],
[q*Phi1^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)^2],
[q*Phi1^6*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi12, 1/4*(q+1)*(q-1)^2],
[Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/16*(q+1)*(q-1)^3],
[q^3*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi12, q-1],
[q^2*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(5*q-3)*(q-1)],
[q*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi12, 1/4*(q-1)*(q^2-2*q-1)],
[Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-1)*(q-3)*(2*q^2-5*q+11)],
[q^3*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q*Phi1^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^6*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)^4],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*(q-1)*(q-3)],
[Phi1^6*Phi2^4*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10, 1/4*(q-1)*(q+1)^2],
[q*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q+1)*(q-1)^2],
[Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(3*q-1)*(q+1)],
[q^4*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[q^2*Phi1^3*Phi2*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*q*(q-1)*(q+1)],
[q^8*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q],
[q^3*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^12*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10, q],
[q^8*Phi1^2*Phi3^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, q],
[q^6*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3*q-1],
[q^4*Phi1^2*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[Phi1^4*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-1)^2],
[q^5*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, q-1],
[q^3*Phi1^3*Phi3*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[q*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^3],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*q*(q-1)^2],
[Phi1^3*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^4*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/4*q^2-3/2*q-1/4],
[q^2*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*q^3-3/2*q^2+23/8*q-9/4],
[q^7*Phi1*Phi3^2*Phi4*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-1],
[q*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*q^3-3/8*q^2-15/8*q+7/8],
[q^5*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-1],
[q^4*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q-1/2],
[q^3*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1^4*Phi2^4*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q+1)*(q^2-5)],
[q^2*Phi1^3*Phi2^3*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*(q-1)*(q+1)],
[Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/4*(q-1)*(q+1)*(q^2+1)],
[Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q+1)*(q-1)^3],
[q^6*Phi1^3*Phi2*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi12, 1/2*(q-1)*(q+1)],
[Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q+1)*(2*q^2-2*q-3)],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[q^12*Phi1^2*Phi3*Phi4*Phi5*Phi7*Phi10*Phi12, 1],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-1)],
[q^20*Phi3*Phi5*Phi6*Phi10*Phi12, 2],
[q^8*Phi1^2*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi12, 1],
[q^2*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q^3+5/4*q^2-9/2*q+5/4],
[q^12*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(2*q-3)],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q^3-3*q^2+4*q-6)],
[q^8*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[q^3*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(2*q-1)*(q-3)],
[q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi12, 1/2*q^2-q-1/2],
[q*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[q*Phi1^2*Phi2^3*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2+1)],
[Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(5*q^2+2*q+1)*(q-3)^2],
[q^14*Phi3*Phi4*Phi6^2*Phi7*Phi8*Phi12, 2],
[q^8*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-7)],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q*(q-3)],
[q^5*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[q^3*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-2)],
[q^8*Phi3^2*Phi4*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[q^2*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-7)],
[q^6*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2],
[q*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(q-2)*(q+1)],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)*(q+1)],
[q^2*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*(q-1)*(q-2)*(q+1)],
[Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)^3],
[Phi1^2*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/6*q*(2*q-5)*(q-1)*(q+1)],
[q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^4*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q-3/2],
[q^12*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, q-2],
[q^6*Phi2^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/2*q-15/2],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q^2-4*q+1)],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/8*(q-3)*(q^2-3*q-2)],
[q^4*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[q^2*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*(q-2)*(q-1)^2],
[q^8*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-2],
[q^7*Phi2*Phi3^2*Phi4*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi1*Phi2^3*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(5*q-11)*(q-1)*(q-3)],
[q^5*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 4*q-12],
[q^8*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-2],
[q^6*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[q^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-9/2],
[q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q+1)*(q-3)^2],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-3)*(q^3-8*q^2+17*q+2)],
[q^6*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)^2],
[q*Phi1*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*(q-1)^2*(q-3)^2],
[q^5*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^6*Phi2^4*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[q^3*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*(q-3)*(q-4)],
[q^5*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*(q-3)*(q-4)],
[q^3*Phi2^3*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(7*q-23)],
[q*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[q^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)^2],
[q^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2-9*q+30)],
[q^3*Phi2^3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)^2],
[q^2*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[q*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(3*q-13)*(q-3)^2],
[Phi2^4*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)^2],
[q*Phi2^5*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2-8*q+17)],
[Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-3)*(q-5)*(5*q^2-52*q+143)],
[1/2*q^3*Phi1^6*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^5*Phi1^4*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[1/2*q^3*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^7*Phi1^2*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[1/2*q^5*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^5*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^7*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[1/2*q^7*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[1/2*q^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^5*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^5*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi1^2*Phi2^4*Phi3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[1/2*q^3*Phi1^2*Phi2^4*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^3*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^7*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^5*Phi2^4*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)^2],
[q*Phi1^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q-11)],
[q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^3*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi12, q-1],
[q^2*Phi1^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^5*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[q^2*Phi1^3*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^3*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-1)^2],
[q*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-1)],
[q^6*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, q-1],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q^9*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, q],
[q^7*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[q^6*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-1],
[Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(9*q-23)],
[Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-2)*(q-3)],
[q^2*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^5*Phi1^3*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[q^7*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[q*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^5*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q^2-q-1/2],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^15*Phi3^2*Phi6^2*Phi7*Phi10*Phi12, 2],
[q^5*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[q^2*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q-3],
[q^2*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(2*q-1)*(q-3)],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^6*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[q^7*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[q^2*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-3)],
[Phi1*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[q*Phi1^3*Phi2^3*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*(q-1)*(q+1)],
[Phi1^3*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)*(q+1)],
[q^2*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)^2],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(11*q-25)],
[q^15*Phi3*Phi5*Phi6*Phi7*Phi10*Phi12, 2],
[Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-3)^2],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^9*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-2],
[q^7*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3],
[q^2*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^6*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 4*q-12],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-7)],
[q^7*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)^2],
[q^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2*q-6],
[q*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*q-3/4],
[Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q^6*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^5*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)^2],
[q^6*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 9/2*q-27/2],
[q^2*Phi2^3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(2*q-9)],
[q^3*Phi2^2*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-9/2],
[q*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(6*q-29)],
[Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[q*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(7*q-31)],
[Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-5)*(q-6)*(q-3)],
[1/2*q^7*Phi1^5*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, q-1],
[1/2*q^3*Phi1^5*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^4*Phi1^4*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q-2],
[1/2*q^3*Phi1^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, (q-1)*(q-2)],
[1/2*q^6*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^8*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 2],
[1/2*q^4*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^6*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^4*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2*q-2],
[1/2*q^16*Phi1^4*Phi3*Phi4*Phi5*Phi7*Phi12, 2],
[1/2*q^4*Phi1^4*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^10*Phi1^4*Phi3^2*Phi4*Phi5*Phi7*Phi10*Phi12, q-2],
[1/2*q^7*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, q-3],
[1/2*q^3*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[1/2*q^10*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q],
[1/2*q^4*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 2*q-2],
[1/2*q^16*Phi4*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, (q-1)*(q-2)],
[1/2*q^10*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 2*q],
[1/2*q^3*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q*(q-3)],
[1/2*q^7*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-1],
[1/2*q^10*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-2],
[1/2*q^7*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-1],
[1/2*q^3*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^4*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q-2],
[1/2*q^8*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^6*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^8*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 2],
[1/2*q^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^16*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, 2],
[1/2*q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q*(q-3)],
[1/2*q^7*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[1/2*q^7*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^16*Phi3*Phi4^3*Phi7*Phi10*Phi12, 2],
[1/2*q^4*Phi2^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^3*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^7*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-3],
[1/2*q^3*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[1/2*q^8*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^6*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^3*Phi1*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^10*Phi2^4*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-2],
[1/2*q^10*Phi3^2*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, q-2],
[1/2*q^7*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^4*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[1/2*q^6*Phi2^4*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^4*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^4*Phi2^6*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^3*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[q*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-1)*(7*q-29)*(q-3)],
[q^2*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q+1)*(q-1)^2],
[q^4*Phi1^6*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi12, 1/2*(q-1)^2],
[Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q+1)*(q-3)*(q-1)^2],
[q^4*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q-2],
[q*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q+1)*(q-1)^2],
[q*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^2*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(2*q^2+13*q-33)],
[q*Phi1^4*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^3*Phi1^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-1],
[Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q^2-4*q+1)],
[q*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(5*q-1)],
[Phi1^3*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(q^2-4*q+5)],
[q^2*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*(q-1)*(q-3)],
[Phi1^5*Phi2^3*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q-1)*(q+1)],
[Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-1)*(9*q^2-14*q+9)],
[q^6*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[q^10*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q^2+q-4)],
[q^7*Phi1^3*Phi3*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, q-1],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[q^8*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[q^6*Phi1^2*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q*(q-1)],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(7*q^2-24*q+25)],
[q^6*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/4*q^2-3/2*q-1/4],
[q^4*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 7/2*q-9/2],
[q^3*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(2*q-1)*(q-3)],
[q*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-1)^2],
[q^6*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q-1/2],
[q^4*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(9*q-23)],
[q*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)*(q-3)],
[Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(5*q-11)*(q-1)*(q-3)],
[q^3*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[Phi1^4*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q+1)],
[q^2*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*(q-1)*(q+1)],
[Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-1)*(q+1)*(3*q^2-8*q+9)],
[q^12*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, 1],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(2*q+3)],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(2*q-3)],
[q*Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*q^3+15/8*q^2-55/8*q+19/8],
[Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q^2-4*q+1)],
[q^8*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 7/8*q^3-33/8*q^2+41/8*q+1/8],
[q^7*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[q^12*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*q^4-7/6*q^3+5/2*q^2-11/6*q+21/16],
[q^8*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3],
[q^2*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-7)],
[q^3*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2*q-2],
[q^2*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(9*q-25)],
[q*Phi1*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/8*(q-1)*(q-3)],
[Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(7*q^2-12*q-11)],
[q^3*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^6*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 7/16*q^3-41/16*q^2+73/16*q-23/16],
[q^6*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[q^10*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^3*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^4*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(3*q-7)],
[q^8*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[q^6*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-9/2],
[q*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(2*q-5)*(q-1)*(q-3)],
[q^7*Phi2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^4*Phi2^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/4*q-15/4],
[Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(5*q-17)],
[q^3*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 11/4*q-33/4],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q^2*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(5*q-11)*(q-1)*(q-3)],
[q^7*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(3*q^2-20*q+27)],
[q^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2*q-6],
[q^4*Phi2^2*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2*q-6],
[q^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2*q-6],
[q^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(19*q-83)],
[q*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/8*(q-3)*(q-5)],
[Phi1^2*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-7)*(q-3)],
[q^7*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^6*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)^2],
[q^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/2*q-15/2],
[q^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(3*q-14)],
[q^3*Phi2^3*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(7*q-31)],
[q*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)^2],
[Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(13*q-79)*(q-3)*(q-5)],
[q^4*Phi2^6*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)^2],
[q^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2-19)],
[q*Phi2^5*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)^2],
[q*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*(q-3)*(q-5)^2],
[Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(q-5)*(q^2-12*q+37)],
[1/2*q^3*Phi1^7*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*q*(q-1)*(q+1)],
[1/2*q^5*Phi1^6*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^7*Phi1^6*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/4*(q-1)^2],
[1/2*q^3*Phi1^6*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(q-3)],
[1/2*q^3*Phi1^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/12*(q-1)*(q-2)*(q-3)],
[1/2*q^3*Phi1^6*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[1/2*q^9*Phi1^4*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^8*Phi1^5*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, q-1],
[1/2*q^4*Phi1^5*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^13*Phi1^2*Phi3*Phi6^2*Phi7*Phi8*Phi10*Phi12, q],
[1/2*q^4*Phi1^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, (q-1)*(q-2)],
[1/2*q^7*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*(q-1)^2],
[1/2*q^3*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-2)*(q-1)^2],
[1/2*q^21*Phi1^4*Phi3*Phi5*Phi6*Phi7, 2],
[1/2*q^6*Phi1^4*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^7*Phi1^3*Phi2*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[1/2*q^9*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[1/2*q^5*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^9*Phi1^2*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/12*(q-1)*(q-2)*(q-3)],
[1/2*q^6*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q-2],
[1/2*q^3*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*q*(3*q-1)*(q-1)],
[1/2*q^7*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*q^2-3/2*q-1/4],
[1/2*q^5*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[1/2*q^7*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*(q-1)^2],
[1/2*q^3*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(q-3)],
[1/2*q^13*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi12, q-2],
[1/2*q^8*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, q-3],
[1/2*q^4*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[1/2*q^3*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2/3*q*(q-1)*(q+1)],
[1/2*q^9*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^13*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi7*Phi10*Phi12, q],
[1/2*q^4*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, (q-1)*(q-2)],
[1/2*q^13*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi12, q],
[1/2*q^4*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q*(q-3)],
[1/2*q^8*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-1],
[1/2*q^3*Phi1^2*Phi2^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[1/2*q^9*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^8*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-1],
[1/2*q^4*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^7*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/4*(q-3)^2],
[1/2*q^3*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-5)*(q-3)*(q-4)],
[1/2*q^7*Phi1^3*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[1/2*q^3*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)*(q+1)],
[1/2*q^9*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^5*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^6*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 2*q-2],
[1/2*q^7*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[1/2*q^3*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*q*(3*q-1)*(q-1)],
[1/2*q^7*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/4*q^2-3/2*q-1/4],
[1/2*q^21*Phi4^2*Phi7*Phi10*Phi12, 2],
[1/2*q^21*Phi3*Phi6*Phi7*Phi8*Phi10, 2],
[1/2*q^3*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q^2-3*q-2)],
[1/2*q^7*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[1/2*q^9*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[1/2*q^5*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[1/2*q^9*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^7*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q^2-q-1/2],
[1/2*q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(q-3)],
[1/2*q^7*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*(q-1)^2],
[1/2*q^3*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-2)*(q-1)^2],
[1/2*q^6*Phi2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^9*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[1/2*q^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^3*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 2/3*q*(q-1)*(q+1)],
[1/2*q^13*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8*Phi12, q],
[1/2*q^9*Phi1^2*Phi3^2*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, 2],
[1/2*q^4*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q*(q-3)],
[1/2*q^8*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[1/2*q^13*Phi3^2*Phi4*Phi6*Phi7*Phi8*Phi10*Phi12, q-2],
[1/2*q^3*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[1/2*q^13*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi12, q-2],
[1/2*q^8*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^9*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^4*Phi1*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^8*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-3],
[1/2*q^4*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[1/2*q^7*Phi1^3*Phi2^5*Phi3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[1/2*q^3*Phi1^3*Phi2^5*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*q*(q-1)*(q+1)],
[1/2*q^9*Phi1^2*Phi2^4*Phi3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[1/2*q^5*Phi1^2*Phi2^4*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[1/2*q^3*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)*(q+1)],
[1/2*q^21*Phi5*Phi7*Phi8*Phi12, 2],
[1/2*q^7*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q^2-q-1/2],
[1/2*q^3*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(q-3)],
[1/2*q^5*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^3*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q^2-3*q-2)],
[1/2*q^7*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[1/2*q^7*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)^2],
[1/2*q^9*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^3*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-2)*(q-1)^2],
[1/2*q^6*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^7*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*(q-3)^2],
[1/2*q^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/24*(q-5)*(q-3)*(q-4)],
[1/2*q^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^3*Phi1^2*Phi2^6*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[1/2*q^9*Phi2^4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1],
[1/2*q^13*Phi2^4*Phi3*Phi4*Phi6^2*Phi7*Phi10*Phi12, q-2],
[1/2*q^4*Phi1*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[1/2*q^8*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[1/2*q^3*Phi1*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-2)*(q-1)^2],
[1/2*q^6*Phi2^5*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[1/2*q^5*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[1/2*q^7*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)^2],
[1/2*q^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-5)*(q-3)*(q-4)],
[1/2*q^4*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[1/2*q^3*Phi2^6*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/24*(q-5)*(q-3)*(q-4)],
[q*Phi1^6*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)^2],
[Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-5)*(q-1)*(q-3)*(q-4)],
[Phi1^6*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/32*(q+1)*(q^2-4*q+5)*(q-1)^2],
[q*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*(q+1)*(q-1)^3],
[q^2*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q+1)],
[q^3*Phi1^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(5*q-11)],
[Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-3)*(q^3-7*q^2+11*q+7)],
[q^3*Phi1^4*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-1)*(q-3)*(17*q^2+8*q-225)],
[Phi1^4*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-1)*(q^2-4*q+7)*(q-3)^2],
[q^2*Phi1^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)^2],
[q^6*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi12, q-1],
[q*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q+3)*(q-1)^3],
[Phi1^5*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q+1)*(q-1)^3],
[q^3*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi12, 1/4*(q+1)*(q-1)^2],
[q^2*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q+1)*(q-1)^2],
[q*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(2*q-1)*(q+1)],
[q^7*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, q-1],
[q^3*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, (q-1)*(q-2)],
[q^5*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi12, q-1],
[Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-1)*(q-2)*(13*q^2-18*q+9)],
[q^6*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^4*Phi1^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-1],
[q^7*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q^2-2*q-1)],
[q^3*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi12, 1/4*(q-1)*(q^2-2*q-1)],
[q^6*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q+1)*(q-3)],
[q*Phi1^3*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(q^2-4*q+5)],
[q^5*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-3)*(4*q-17)*(q-1)^2],
[q^3*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*(q-1)*(q-3)],
[Phi1^6*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi10*Phi12, 1/8*(q+1)*(q^2+1)*(q-1)^2],
[Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/48*(q+1)*(3*q^2+2*q+3)*(q-1)^2],
[q*Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*(q-1)*(q+1)*(q^2+1)],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q+1)*(q-1)^3],
[q^12*Phi1^3*Phi3*Phi4^2*Phi5*Phi7*Phi10*Phi12, q-1],
[q^2*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q^2-7)],
[q^6*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^13*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[q^3*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q*(q-1)],
[q^3*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q^2-2*q-1)],
[Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/16*(q^2-2*q-1)*(q-1)^3],
[q^6*Phi1^3*Phi3*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[q^4*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q*(q-1)],
[q^3*Phi1^3*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-1)^2],
[q*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^3+q^2-37*q+47)],
[q^9*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[q^7*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[q^12*Phi1*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(3*q^3+7*q^2+19*q-9)*(q-1)^2],
[q^4*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(2*q-1)*(q-3)],
[q^2*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/4*(q-3)*(q-1)^2],
[q^7*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-1],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(9*q-23)],
[q^2*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q^2-18*q+17)],
[q^6*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(5*q-11)*(q-1)*(q-3)],
[q^4*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[Phi1^4*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q+1)*(2*q-3)*(q-1)^2],
[Phi1^5*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q+1)*(q-1)^3],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-1)*(11*q^3+2*q^2-21*q+36)],
[q^13*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[Phi1^4*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-3)*(q+1)^2],
[q^2*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)*(q+2)],
[q^6*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(2*q-3)],
[q^3*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(3*q-5)],
[q^9*Phi1^2*Phi3*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1],
[q^7*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q-3],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(7*q^3-26*q^2+25*q-14)],
[q^6*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(2*q-1)*(q-3)],
[q^4*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^10*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[q*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q^2-4*q+1)],
[q^5*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q-3],
[q^6*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q*(q-3)],
[q^3*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2+1)],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 7/8*q^3-31/8*q^2+33/8*q+7/8],
[q^13*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[q^6*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-2)],
[q*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*q^4-2/3*q^3+q^2+2/3*q-3/16],
[q^13*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(3*q-7)],
[Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(4*q^3-25*q^2+54*q-37)],
[q^4*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2*q-2],
[q^3*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(5*q-13)],
[q^9*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^2*Phi1*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/4*(q-1)*(q-3)],
[q*Phi1^4*Phi2^4*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q+1)*(q^2-5)],
[Phi1^4*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-1)*(q-3)*(q+1)*(q^2-5)],
[Phi1^5*Phi2^4*Phi3*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q+1)*(q-1)^2],
[q^3*Phi1^3*Phi2^3*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*(q-1)*(q+1)],
[Phi1^4*Phi2^5*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q+1)*(q-1)^2],
[q^2*Phi1^3*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)*(q+1)],
[Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/96*(q-1)*(q+1)*(3*q^3+q^2-21*q-15)],
[q*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q+1)*(9*q^2-2*q-31)],
[q^7*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^21*Phi5*Phi7*Phi10*Phi12, 2],
[Phi1^3*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(q+1)*(3*q^2-2*q-7)],
[q^4*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^2*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(3*q-1)*(q-3)],
[q^6*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(11*q-25)],
[q^15*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, 2*q-4],
[q^13*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^2*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-3)^2],
[q^12*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-3)*(q^3-7*q^2+11*q+7)],
[q^4*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(2*q-1)*(q-3)],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 19/96*q^4-11/24*q^3-113/48*q^2+179/24*q-91/32],
[q^12*Phi2*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^11*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2],
[q^9*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3],
[Phi1^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-3)*(9*q^4-16*q^3+42*q^2+64*q+45)],
[q^4*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q^2-4*q+1)],
[q^4*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^3*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(3*q-7)],
[q^7*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3*q-9],
[q^2*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(9*q-11)],
[q^6*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)*(5*q-17)],
[q^7*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^4*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 11/4*q-33/4],
[q*Phi1^3*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)*(q+1)],
[Phi1^3*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(2*q-7)*(q+1)],
[q^3*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^2*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[q*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/3*q*(q-2)*(q^2+q-8)],
[Phi1^2*Phi2^5*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q+1)*(q-3)^2],
[q^9*Phi2^4*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^3-20*q^2+37*q+4)],
[q^10*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^10*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi10*Phi12, q-3],
[q^7*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 11/2*q-33/2],
[q^6*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*(q-3)*(q-4)],
[q^3*Phi1*Phi2^3*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(5*q-11)*(q-1)*(q-3)],
[q^6*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*(q-3)*(q-4)],
[q*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-3)*(q^2-4*q+1)],
[q^6*Phi2^3*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 9/2*q-27/2],
[Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-1)*(q-3)*(2*q-7)*(5*q-17)],
[q^5*Phi2^2*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2*q-6],
[q^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(11*q-45)],
[q^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/4*(q-3)*(q-5)],
[q*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*(q-1)^2*(q-3)^2],
[Phi1*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-3)*(q^2-8*q+17)*(q-1)^2],
[q^6*Phi2^3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)^2],
[q^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(3*q-14)],
[q^3*Phi2^4*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q^2-6*q+7)],
[q^4*Phi2^3*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[q^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(7*q-31)],
[q^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/8*(q-5)*(q-3)^2],
[q*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/24*(13*q-79)*(q-3)*(q-5)],
[q^3*Phi2^4*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2-8*q+17)],
[q^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*(q-3)*(q-5)^2],
[q*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(q-5)*(q^2-8*q+13)],
[Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-5)*(q-7)*(q-3)*(2*q-13)],
[q*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-3)*(q-5)*(5*q^2-52*q+143)],
[Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-5)*(q-7)*(q-3)*(q^2-12*q+39)],
[Phi1^6*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/1920*(q-5)*(q-1)*(q-7)*(q-3)*(q-4)],
[q*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-5)*(q-1)*(q-3)*(q-4)],
[q^2*Phi1^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-1)*(q-5)*(q-3)^2],
[q*Phi1^6*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q+1)*(q-3)*(q-1)^2],
[q^2*Phi1^6*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-1)^2],
[q^3*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q+1)],
[Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(q-3)*(5*q^2-10*q-9)*(q-1)^2],
[q*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q^2-4*q+1)],
[q^6*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/24*(q-1)*(q-2)*(q-3)],
[q^2*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/24*(q-1)*(7*q-29)*(q-3)],
[Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-1)*(q-3)*(7*q^3-64*q^2+153*q-16)],
[q^3*Phi1^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)^2],
[Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*q*(q+1)*(q-1)^3],
[q^4*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q+1)*(q-1)^2],
[q^2*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/16*(3*q+5)*(q+1)*(q-1)^2],
[q^8*Phi1^4*Phi3*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, q-1],
[q^6*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(5*q-3)*(q-1)],
[q^3*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q+1)*(q-1)^2],
[q^4*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(2*q^2+13*q-33)],
[q*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-1)*(q-2)*(25*q^2-18*q-3)],
[q^7*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^12*Phi1^2*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)^2],
[q^5*Phi1^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1^4*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q+1)*(q-2)*(q-1)^2],
[q^2*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-1)*(q-3)*(2*q^2+7*q-13)],
[q^7*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^5*Phi1^3*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q+1)*(q-3)],
[q^2*Phi1^3*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)^4],
[q^6*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*(q-1)*(q-3)],
[q*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(4*q-17)*(q-1)^2],
[q^4*Phi1^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*(q-1)*(q-3)],
[q^2*Phi1^7*Phi2^5*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10, 1/4*(q-1)*(q+1)^2],
[Phi1^6*Phi2^4*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-1)*(3*q+2)*(q+1)*(q^2-5)],
[q^2*Phi1^5*Phi2^3*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q-1)*(q+1)],
[Phi1^5*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-1)*(q+1)*(8*q^3-7*q^2-6*q+1)],
[q^10*Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[q*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q+1)*(7*q-9)*(q-1)^2],
[q^10*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, q-1],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(9*q^2-14*q+9)],
[q^16*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi10*Phi12, q],
[q^6*Phi1^3*Phi2*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*q*(q-1)*(q+1)],
[q^12*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q+1/2],
[q^3*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q^2-7)],
[q^7*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1^5*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/8*q*(q-1)*(q+1)*(q^2+1)],
[q^2*Phi1^4*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/12*(q-1)*(6*q^3+7*q^2-14*q+9)],
[Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-1)*(37*q^4-101*q^3+33*q^2+45*q-30)],
[q^20*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi10, q],
[q^4*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[q^10*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/4*(q-1)^2],
[q^8*Phi1^2*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q^2-4*q+1)],
[q^9*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, q-1],
[q^5*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q^6*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*q*(q-1)^2],
[q^12*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q-1/2],
[q^7*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi12, 1/2*(q-1)^2],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(9*q^2-24*q+23)],
[q^8*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 4*q-4],
[q^13*Phi1*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[q^6*Phi1^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*q^3-3/2*q^2+23/8*q-9/4],
[q*Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(9*q^3-7*q^2+9*q-15)],
[q^13*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-1],
[q^3*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/4*(q-3)*(q-1)^2],
[Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-3)*(3*q^2-9*q+8)*(q-1)^2],
[q^8*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q-1/2],
[q^4*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(9*q-23)],
[q^3*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q^2-18*q+17)],
[q^7*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q^2*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*(5*q-11)*(q-1)*(q-3)],
[q^5*Phi1*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[Phi1^5*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q-1)^2*(q+1)^2],
[Phi1^6*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi12, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^2*Phi1^4*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-1)*(q+1)*(3*q^2+8*q-15)],
[q^6*Phi1^3*Phi2^3*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*(q-1)*(q+1)],
[Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/6*q^2*(q+1)*(q-1)^2],
[q^12*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, 1/2*(q-1)*(q+1)],
[q^20*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi12, 1],
[q*Phi1^4*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q+1)*(2*q-3)*(q-1)^2],
[Phi1^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/6*q^2*(q-1)*(q-2)*(q+1)],
[q^4*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*(q-1)*(q+1)],
[q^2*Phi1^5*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi10*Phi12, 1/4*(q-1)*(q+1)*(q^2+1)],
[q^6*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-1)*(q+1)*(3*q^2+2*q+3)],
[q^6*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-1)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^30*Phi3*Phi4*Phi6*Phi12, 2],
[q^14*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, 1],
[q^3*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)*(q+2)],
[q^2*Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q+1)*(2*q^2-2*q-3)],
[q^6*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q^3+5/4*q^2-9/2*q+5/4],
[q^24*Phi3*Phi6^2*Phi7*Phi12, 2],
[Phi1^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q+1)*(q^2-2*q-1)],
[q^14*Phi1^2*Phi3*Phi4^2*Phi5*Phi7*Phi10*Phi12, 1],
[q^4*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(2*q-3)],
[q^12*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[q^12*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi12, 1/2*q^2-q-1/2],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(11*q^3-34*q^2+13*q-14)],
[q^7*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-3)],
[q^12*Phi1*Phi2*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[q^20*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, 1],
[q^5*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^11*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[Phi1^3*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q+1)*(q-2)*(q-1)^2],
[q^4*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*q^3+15/8*q^2-55/8*q+19/8],
[q^14*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^12*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3],
[q^5*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*q*(q-2)*(q-1)^2],
[q^6*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-7)],
[q^7*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q*(q-3)],
[q^5*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(2*q-1)*(q-3)],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 7/8*q^3-31/8*q^2+33/8*q+7/8],
[q^14*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^7*Phi1*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-2)],
[q^2*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/32*q^4+1/8*q^3-31/16*q^2+43/8*q-87/32],
[q^6*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-7)],
[q^14*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 2],
[q^4*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-7)],
[q*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*(q-1)*(4*q^3-25*q^2+54*q-37)],
[q^7*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^5*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q^4*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(9*q-25)],
[q^3*Phi1*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/4*(q-1)*(q-3)],
[Phi1^5*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/8*(q-1)*(q-2)*(q+1)*(q^2+1)],
[Phi1^4*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-1)*(q+1)*(5*q^3-16*q^2+11*q+4)],
[q^3*Phi1^3*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)*(q+1)],
[q*Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(q-3)*(q+1)],
[q^6*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*(q-1)*(q-2)*(q+1)],
[q^12*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q-3/2],
[q^2*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(7*q^2-12*q-11)],
[q^5*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^3*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(3*q-1)*(q-3)],
[q^7*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^2*Phi1^3*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)^3],
[Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-1)*(9*q^4-30*q^3+6*q^2+46*q+17)],
[q^8*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*q-3/2],
[q^20*Phi4*Phi5*Phi7*Phi10*Phi12, q-2],
[q^10*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^2],
[q^3*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-3)^2],
[q^2*Phi1^2*Phi2^4*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/6*q*(2*q-5)*(q-1)*(q+1)],
[q^8*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^5*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^6*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/8*(q-3)*(q^2-3*q-2)],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 7/8*q^3-41/8*q^2+73/8*q-23/8],
[q^16*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, q-2],
[q^13*Phi2*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*(q-2)*(q-1)^2],
[q^12*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(11*q^3-11*q^2-q-7)],
[q^6*Phi1*Phi2^3*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^5*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^13*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-3],
[q^10*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^9*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3*q-9],
[q^8*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/2*q-15/2],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q^2-4*q+1)],
[Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-3)*(23*q^4-141*q^3+287*q^2-147*q+122)],
[q^4*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(3*q-7)],
[q^10*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^8*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-9/2],
[q^3*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(9*q-11)],
[q^7*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-9/2],
[q^2*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*(q-1)*(q-3)*(5*q-17)],
[q^8*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^5*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2*q-6],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*q*(q-1)*(q+1)*(q-3)^2],
[q*Phi1^3*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(2*q-7)*(q+1)],
[q^2*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q+1)*(q-3)^2],
[q^6*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q^3*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)],
[q^4*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^3-20*q^2+37*q+4)],
[q^12*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)^2],
[q^11*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[Phi1^2*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-3)*(q-4)*(q+1)],
[q^11*Phi2^3*Phi4^3*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^4*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-3)*(q^3-8*q^2+17*q+2)],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(5*q-11)*(q-1)*(q-3)],
[q^7*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*(q-3)*(q-4)],
[q^2*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(3*q+13)*(q-1)*(q-3)^2],
[q^8*Phi2^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^7*Phi2^3*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2*q-6],
[q^6*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(7*q-23)],
[q^5*Phi2^3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(2*q-9)],
[q*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(2*q-7)*(5*q-17)],
[q^7*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[q^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-9/2],
[q^4*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(19*q-83)],
[q^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/4*(q-3)*(q-5)],
[Phi1^3*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-3)*(q+1)*(2*q^2-15*q+31)],
[q^2*Phi1^2*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-5)*(q-7)*(q-3)],
[Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-3)*(5*q^4-49*q^3+187*q^2-239*q-96)],
[q^10*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)^2],
[q^7*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)^2],
[q^6*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2-9*q+30)],
[q*Phi1*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(3*q^2-20*q+27)],
[q^6*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[q^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[Phi1*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-2)*(q-3)*(q-5)*(5*q-23)],
[q^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(7*q-31)],
[q^3*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/8*(q-5)*(q-3)^2],
[q^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(13*q-79)*(q-3)*(q-5)],
[q^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2-19)],
[q^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*(q-3)*(q-5)^2],
[q^2*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-3)*(q-5)*(5*q^2+44*q-433)],
[q*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-5)*(q-7)*(q-3)*(2*q-13)],
[q^2*Phi2^6*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)^2],
[q*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(q-5)*(q^2-12*q+37)],
[Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/1920*(q-5)*(q-7)*(q-3)*(11*q^2-155*q+564)],
[q*Phi1^7*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/32*(q+1)*(q^2-4*q+5)*(q-1)^2],
[q^3*Phi1^6*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)^2],
[Phi1^6*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q+1)*(q-3)*(q^2-6*q+11)*(q-1)^2],
[q*Phi1^6*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-3)*(q^3-7*q^2+11*q+7)],
[q^2*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-5)*(q-1)*(q-3)*(q-4)],
[Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/768*(q-5)*(q-1)*(q-3)*(q^3-9*q^2+19*q+13)],
[q^2*Phi1^6*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q+1)*(q-3)*(q-1)^2],
[q*Phi1^6*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q+1)*(q-1)^3],
[q^3*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*(q+1)*(q-1)^3],
[q^4*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(4*q-11)*(q-3)*(q+1)*(q-1)^2],
[q^7*Phi1^4*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-1)*(q-2)*(q+9)],
[q^5*Phi1^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q-11)],
[Phi1^5*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*q*(q+1)*(q^2-4*q+5)*(q-1)^2],
[q^2*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q^2-4*q+1)],
[q^3*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-1)*(q-3)*(17*q^2+8*q-225)],
[q^6*Phi1^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)^2],
[q*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-1)*(q-3)*(7*q^3-64*q^2+153*q-16)],
[q*Phi1^7*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi10*Phi12, 1/8*(q+1)*(q^2+1)*(q-1)^2],
[q^6*Phi1^6*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi12, 1/4*(q+1)*(q-1)^2],
[q*Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/16*(q+1)*(q-1)^4],
[q^13*Phi1^4*Phi3*Phi4^2*Phi5*Phi7*Phi10*Phi12, q-1],
[q^8*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi12, q-1],
[q^3*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q+3)*(q-1)^3],
[Phi1^6*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/16*(q+1)*(q^2+1)*(q-1)^3],
[Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q+1)*(7*q^3-23*q^2+27*q-15)*(q-1)^2],
[q^4*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q+1)*(q-1)^2],
[q^3*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(2*q-1)*(q+1)],
[q^4*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^6*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi12, 1/4*(q-1)*(q^2-2*q-1)],
[q*Phi1^5*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/16*(q^2-2*q-1)*(q-1)^3],
[q^5*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^4*Phi1^4*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^12*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^2*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-1)*(q-2)*(25*q^2-18*q-3)],
[q^8*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^6*Phi1^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1^4*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-1)*(65*q^4-138*q^3-24*q^2+50*q+63)],
[q^13*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*(q-1)^2],
[q^9*Phi1^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q^3*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q^2-2*q-1)],
[Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/768*(q-3)*(13*q^2-32*q+3)*(q-1)^3],
[q^4*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(5*q-1)],
[q^3*Phi1^3*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(q^2-4*q+5)],
[q^7*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*(q-1)*(q-3)],
[q^2*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(4*q-17)*(q-1)^2],
[Phi1^6*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*q*(q+1)^2*(q-1)^3],
[q*Phi1^6*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q+1)*(q-1)^3],
[q^2*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q+1)*(7*q-9)*(q-1)^2],
[q^6*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q+1)*(q-1)^2],
[q^3*Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*(q-1)*(q+1)*(q^2+1)],
[Phi1^5*Phi2^4*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/10*q*(q+1)*(q^2+1)*(q-1)^2],
[q^3*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q+1)*(q-1)^3],
[q^7*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[Phi1^5*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*q*(q+1)*(q^2-2*q-1)*(q-1)^2],
[q^4*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q^2+q-4)],
[q^10*Phi1^3*Phi3*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[q^8*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1^5*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*q*(q-1)*(q+1)*(q^2+1)],
[q^21*Phi1^2*Phi3*Phi4^2*Phi6*Phi7*Phi12, q],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q+1)*(2*q-3)*(q-1)^3],
[q^7*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q^2*(q-1)],
[q^15*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[q^20*Phi1*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, q-1],
[q^5*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-1)],
[Phi1^4*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*q*(q-1)*(q+1)*(3*q^3-9*q^2+7*q-5)],
[q^2*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q^2-4*q+1)],
[q^6*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)^3],
[q^13*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, q-1],
[q^3*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q^3+q^2-37*q+47)],
[q^9*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-1],
[q^2*Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(9*q^3-7*q^2+9*q-15)],
[q^6*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*q^3-3/8*q^2-15/8*q+7/8],
[q^14*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-1],
[q^4*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-1)^2],
[q*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^2-9*q+8)*(q-1)^2],
[q^7*Phi1^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*q*(q-1)*(q-3)],
[q^5*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(9*q-23)],
[q^4*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)*(q-3)],
[q^8*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-3/2],
[q^3*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(5*q-11)*(q-1)*(q-3)],
[Phi1^5*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/64*(q+1)*(q^2-5)*(q-1)^3],
[q*Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/96*(q+1)*(19*q^2+4*q+15)*(q-1)^2],
[q^7*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[q^13*Phi1^3*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[q^2*Phi1^4*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q+1)*(2*q-3)*(q-1)^2],
[q^3*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-1)*(11*q^3+2*q^2-21*q+36)],
[q^7*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q+1)],
[q^15*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1],
[q^13*Phi1^2*Phi3*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, 1],
[Phi1^5*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/16*(q-1)*(q-3)*(q^2+1)*(q+1)^2],
[q*Phi1^4*Phi2^4*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2/5*q*(q-1)*(q+1)*(q^2+1)],
[Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/64*(q+1)*(7*q^3-15*q^2-q+13)*(q-1)^2],
[q^31*Phi7*Phi10, 2],
[q^4*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(2*q+3)],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/96*(q-1)*(17*q^4-26*q^3-16*q^2-42*q-21)],
[q^5*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^13*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q^2-q-1/2],
[q^9*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 2*q-3],
[q^4*Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^12*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q*(q-3)],
[q^2*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(11*q^3-34*q^2+13*q-14)],
[q^8*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-3)],
[q^21*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, 2],
[q^6*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^12*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q*Phi1^3*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(35*q^3-41*q^2-61*q-9)*(q-1)^2],
[q^7*Phi1^2*Phi2^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[q^6*Phi1^2*Phi2^3*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2+1)],
[q^13*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/2*(q-1)^2],
[q^10*Phi1*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^3*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q^2-4*q+1)],
[q^7*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(3*q-7)],
[Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-3)*(13*q^3-33*q^2-5*q-7)*(q-1)^2],
[q^4*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 7/8*q^3-33/8*q^2+41/8*q+1/8],
[q^3*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*q^4-2/3*q^3+q^2+2/3*q-3/16],
[q^7*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(3*q-7)],
[q^15*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1],
[q^13*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*(q-1)*(4*q^3-25*q^2+54*q-37)],
[q^8*Phi1*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^6*Phi1*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^5*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*(q-1)*(q-3)],
[q^4*Phi1*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/8*(q-1)*(q-3)],
[q^3*Phi1^4*Phi2^4*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q+1)*(q^2-5)],
[Phi1^5*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*q*(q-3)*(q-1)^2*(q+1)^2],
[q*Phi1^4*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-2)*(q+1)*(q^2-5)],
[q^7*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-2)*(q+1)],
[q^5*Phi1^3*Phi2^3*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*(q-1)*(q+1)],
[q^2*Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(q-3)*(q+1)],
[q^6*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)*(q+1)],
[q*Phi1^4*Phi2^4*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-3)*(q+1)^2],
[Phi1^4*Phi2^5*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/10*q*(q-1)*(q-3)*(q+1)*(q^2+1)],
[q^3*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q+1)*(9*q^2-2*q-31)],
[q^9*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[Phi1^4*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*q*(q-1)*(q-3)*(q+1)*(q^2-2*q-5)],
[q^8*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q+1)*(6*q^3-21*q^2+10*q+29)],
[q^7*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q+6)],
[q^20*Phi2*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, q-3],
[q^5*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(11*q-25)],
[q^21*Phi3*Phi4*Phi6*Phi7*Phi8*Phi12, q-2],
[q^15*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[Phi1^3*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*q*(q+1)*(3*q^2-12*q+11)*(q-1)^2],
[q^6*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q^2-4*q+1)],
[q^3*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 19/96*q^4-11/24*q^3-113/48*q^2+179/24*q-91/32],
[q^13*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi1^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(11*q^3-11*q^2-q-7)],
[q^7*Phi1*Phi2^3*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^6*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(5*q-11)*(q-1)*(q-3)],
[q^14*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, q-3],
[q^11*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 2*q-6],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(q-3)*(23*q^4-141*q^3+287*q^2-147*q+122)],
[q^7*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-2)*(q-1)^2],
[q^5*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-7)],
[q^4*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(2*q-5)*(q-1)*(q-3)],
[q^10*Phi2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^8*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/2*q-9/2],
[q^3*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)*(5*q-17)],
[q^9*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^6*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q*Phi1^4*Phi2^6*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-1)*(q-3)*(q+1)*(q^2-5)],
[Phi1^4*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/64*(q-1)*(q+1)*(q^2-5)*(q-3)^2],
[q^3*Phi1^3*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)*(q+1)],
[q^2*Phi1^3*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(2*q-7)*(q+1)],
[q*Phi1^3*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(q+1)*(3*q^2-2*q-7)],
[q^5*Phi1^2*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*q-3/4],
[Phi1^3*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/64*(q-1)*(q-3)*(q+1)*(5*q^3-19*q^2+q+45)],
[q^4*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q^3*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/3*q*(q-2)*(q^2+q-8)],
[q^15*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12, q-3],
[q^13*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^3-20*q^2+37*q+4)],
[q^12*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[q*Phi1^2*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-3)*(41*q^4-176*q^3+10*q^2+224*q+45)],
[q^6*Phi1*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^13*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/4*(q-3)^2],
[q^10*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[q^9*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/2*q-15/2],
[Phi1^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-3)*(9*q^5-75*q^4+214*q^3-146*q^2-223*q-163)],
[q^4*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(5*q-11)*(q-1)*(q-3)],
[q^3*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*(q-1)*(q-3)*(q^2-4*q+1)],
[q^8*Phi2^3*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^7*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(7*q-31)],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(2*q-7)*(5*q-17)],
[q^8*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[q^6*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^5*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(6*q-29)],
[q^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/8*(q-3)*(q-5)],
[q*Phi1^2*Phi2^6*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q+1)*(q-3)^2],
[Phi1^2*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*q*(q-1)*(q-3)*(q+1)*(q^2-8*q+17)],
[q^10*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)^2],
[q^7*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(2*q-9)],
[q^3*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*(q-1)^2*(q-3)^2],
[q^2*Phi1*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(3*q^2-20*q+27)],
[q^7*Phi2^4*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[q^6*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(3*q-13)*(q-3)^2],
[q*Phi1*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-1)*(q-2)*(q-3)*(q-5)*(5*q-23)],
[q^7*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-5)*(q-3)*(q-4)],
[q^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(7*q-31)],
[q^4*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)^2],
[q^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/24*(13*q-79)*(q-3)*(q-5)],
[q*Phi1*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-3)*(q^2-8*q+17)*(q-1)^2],
[q^6*Phi2^5*Phi3*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2-8*q+17)],
[q^4*Phi2^5*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-5)^2],
[Phi1*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/3840*(q-5)*(q-1)*(q-3)*(21*q^3-237*q^2+839*q-743)],
[q^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*(q-3)*(q-5)^2],
[q^3*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(q-5)*(q^2-8*q+13)],
[q^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-5)*(q-7)*(q-3)*(2*q-13)],
[q^3*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-3)*(q-5)*(5*q^2-52*q+143)],
[q^2*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(q-5)*(q^2-12*q+37)],
[q*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/960*(q-5)*(q-7)*(q-3)*(11*q^2-155*q+564)],
[q*Phi2^6*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-5)*(q-7)*(q-3)*(q^2-12*q+39)],
[Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/3840*(q-3)*(q-5)*(q-7)*(q-9)*(q^2-14*q+53)],
[Phi1^7*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/7680*(q-3)*(q-5)*(q+1)*(q^2-6*q+13)*(q-1)^2],
[q^2*Phi1^6*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/1920*(q-5)*(q-1)*(q-7)*(q-3)*(q-4)],
[Phi1^6*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/46080*(q-5)*(q-1)*(q-7)*(q-3)*(q+1)*(q^2-10*q+27)],
[q*Phi1^6*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q+1)*(q-3)*(q^2-6*q+11)*(q-1)^2],
[Phi1^6*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/1152*q*(q+1)*(q-3)*(q^2-4*q+7)*(q-1)^2],
[q^3*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-5)*(q-1)*(q-3)*(q-4)],
[q^6*Phi1^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-1)*(q-5)*(q-3)^2],
[q*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/768*(q-5)*(q-1)*(q-3)*(q^3-9*q^2+19*q+13)],
[q^3*Phi1^6*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/32*(q+1)*(q^2-4*q+5)*(q-1)^2],
[Phi1^7*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/192*(q+1)*(q^2+1)*(q^2-2*q+3)*(q-1)^2],
[Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q+1)*(q^2-2*q+3)*(q-1)^4],
[q^5*Phi1^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)^2],
[q^12*Phi1^4*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/24*(q-1)*(q-2)*(q-3)],
[q^2*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(q-3)*(5*q^2-10*q-9)*(q-1)^2],
[q*Phi1^5*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*q*(q+1)*(q^2-4*q+5)*(q-1)^2],
[q^3*Phi1^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-3)*(q^3-7*q^2+11*q+7)],
[Phi1^5*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/1536*(q+1)*(q-1)^3*(q-3)^3],
[q^4*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-1)*(7*q-29)*(q-3)],
[q^3*Phi1^4*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-1)*(q^2-4*q+7)*(q-3)^2],
[q^7*Phi1^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)^2],
[q^2*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-1)*(q-3)*(7*q^3-64*q^2+153*q-16)],
[Phi1^7*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/96*q*(q^2+1)*(q-1)^2*(q+1)^2],
[q^2*Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*q*(q+1)*(q-1)^3],
[q^6*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 3/16*(q+1)*(q-1)^3],
[Phi1^6*Phi2^4*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/40*q*(q-1)*(q+1)*(q^2+1)^2],
[Phi1^6*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/288*q*(q-3)*(q+1)^2*(q-1)^3],
[q^4*Phi1^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q+1)*(q-3)*(q-1)^2],
[q^8*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(5*q-11)],
[q*Phi1^6*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/16*(q+1)*(q^2+1)*(q-1)^3],
[q^3*Phi1^5*Phi2^2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q+1)*(q-1)^3],
[q*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q+1)*(7*q^3-23*q^2+27*q-15)*(q-1)^2],
[q^20*Phi1^2*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, 1/4*(q-1)^2],
[Phi1^5*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*q*(q+1)*(q^2+1)*(q-1)^3],
[q^6*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-1)*(q-3)*(2*q^2-5*q+11)],
[q^13*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^3*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-1)*(q-2)*(13*q^2-18*q+9)],
[q^9*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^2*Phi1^4*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q+1)*(q-2)*(q-1)^2],
[q^6*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)^4],
[q^4*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q^2-4*q+1)],
[q*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/768*(q-3)*(13*q^2-32*q+3)*(q-1)^3],
[q^5*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^4*Phi1^3*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(q^2-4*q+5)],
[q^8*Phi1^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*(q-1)*(q-3)],
[q^3*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-3)*(4*q-17)*(q-1)^2],
[Phi1^7*Phi2^5*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-1)*(q-3)*(q+3)*(q^2-5)*(q+1)^2],
[q^2*Phi1^6*Phi2^4*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-1)*(3*q+2)*(q+1)*(q^2-5)],
[q^6*Phi1^6*Phi2^4*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10, 1/4*(q-1)*(q+1)^2],
[Phi1^6*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/256*(q-1)*(9*q^4-2*q^3-22*q^2+10*q+13)*(q+1)^2],
[q^4*Phi1^5*Phi2^3*Phi3^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(5*q-1)*(q+1)],
[q*Phi1^6*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*q*(q+1)^2*(q-1)^3],
[q^10*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, 1/4*(q+1)*(q-1)^2],
[Phi1^7*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10, 1/12*q^2*(q-1)*(q^2+1)*(q+1)^2],
[Phi1^6*Phi2^4*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/36*q^2*(q-1)^2*(q+1)^3],
[q^2*Phi1^5*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-1)*(q+1)*(8*q^3-7*q^2-6*q+1)],
[q^12*Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*q*(q-1)*(q+1)],
[q^3*Phi1^6*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi10*Phi12, 1/8*(q+1)*(q^2+1)*(q-1)^2],
[q^3*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/48*(q+1)*(3*q^2+2*q+3)*(q-1)^2],
[q^12*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi12, q-1],
[q^7*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q+1)*(q-1)^2],
[Phi1^6*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/32*(q^2+1)*(q+1)^2*(q-1)^3],
[q*Phi1^5*Phi2^4*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/10*q*(q+1)*(q^2+1)*(q-1)^2],
[Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/768*(19*q^3-37*q^2-31*q+9)*(q-1)^2*(q+1)^2],
[q^30*Phi1^2*Phi3*Phi6*Phi7, q],
[q^6*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(3*q-1)*(q+1)],
[q^4*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-1)*(9*q^2-14*q+9)],
[q^14*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q*Phi1^5*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*q*(q+1)*(q^2-2*q-1)*(q-1)^2],
[q^15*Phi1^3*Phi3*Phi4^2*Phi5*Phi7*Phi10*Phi12, q-1],
[q^10*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi12, 1/4*(q-1)*(q^2-2*q-1)],
[q^5*Phi1^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-1)^2],
[q^9*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^2*Phi1^5*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/8*q*(q-1)*(q+1)*(q^2+1)],
[q^12*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/4*q*(q-1)^2],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-1)*(37*q^4-101*q^3+33*q^2+45*q-30)],
[q^21*Phi1*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, q-1],
[q^12*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q^2-3*q+12)],
[q*Phi1^4*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*q*(q-1)*(q+1)*(3*q^3-9*q^2+7*q-5)],
[q^10*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2+1)],
[q^6*Phi1^4*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-1)^2],
[q^3*Phi1^4*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/16*(q^2-2*q-1)*(q-1)^3],
[q^7*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)^2],
[Phi1^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/9216*(q-1)*(q-3)*(q+1)*(37*q^4-86*q^3-10*q^2-10*q+21)],
[q^6*Phi1^3*Phi2*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^14*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q-1/2],
[q^4*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(7*q^2-24*q+25)],
[q^3*Phi1^3*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(3*q^3+7*q^2+19*q-9)*(q-1)^2],
[q^7*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(3*q-5)*(q-1)^2],
[q^5*Phi1^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-3)*(3*q^2-9*q+8)*(q-1)^2],
[q^5*Phi1^2*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-2)*(q-3)],
[q^9*Phi1*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-1/2],
[q^4*Phi1^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(5*q-11)*(q-1)*(q-3)],
[Phi1^6*Phi2^6*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*q*(q^2-5)*(q-1)^2*(q+1)^2],
[Phi1^7*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi12, 1/20*q*(q^2+1)*(q-1)^2*(q+1)^2],
[q^2*Phi1^5*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q-1)^2*(q+1)^2],
[q^6*Phi1^4*Phi2^4*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q+1)*(q^2-5)],
[Phi1^7*Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi10*Phi12, 1/24*q*(q^2+1)*(q-1)^2*(q+1)^2],
[Phi1^6*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/48*q*(q+1)^2*(q-1)^4],
[Phi1^6*Phi2^6*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi8*Phi10*Phi12, 1/7*q*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)],
[q^2*Phi1^6*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi12, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^20*Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi7*Phi12, 1/2*(q-1)*(q+1)],
[q*Phi1^5*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/64*(q+1)*(q^2-5)*(q-1)^3],
[Phi1^5*Phi2^5*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*q*(3*q^2-5)*(q-1)^2*(q+1)^2],
[q^4*Phi1^4*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q+1)],
[q^8*Phi1^3*Phi2^3*Phi3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/4*(q-1)*(q+1)],
[q^6*Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/4*(q-1)*(q+1)*(q^2+1)],
[q^12*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi7*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[q^2*Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/6*q^2*(q+1)*(q-1)^2],
[q^6*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q+1)*(q-1)^3],
[Phi1^6*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi12, 1/20*q*(q-1)*(q+1)*(q^2+1)*(q^2-3)],
[Phi1^5*Phi2^5*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/20*q*(q+1)*(q^2+1)*(q-1)^3],
[q^42, 2],
[q^22*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi12, 1],
[q^3*Phi1^4*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q+1)*(2*q-3)*(q-1)^2],
[q^2*Phi1^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/6*q^2*(q-1)*(q-2)*(q+1)],
[q^6*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q+1)*(2*q^2-2*q-3)],
[q^12*Phi1^2*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/3*q*(q-1)*(q+1)],
[q^3*Phi1^5*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q+1)*(q-1)^3],
[Phi1^5*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/48*q*(q+1)*(q^2-3)*(q-1)^3],
[q^15*Phi1^3*Phi3*Phi4^2*Phi5*Phi7*Phi8*Phi12, 1/2*(q-1)^2],
[q^4*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-1)*(q+1)*(3*q^2-8*q+9)],
[q^18*Phi1^2*Phi3*Phi4*Phi5*Phi7*Phi10*Phi12, 1],
[q^8*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-1)],
[q*Phi1^5*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/16*(q-1)*(q-3)*(q^2+1)*(q+1)^2],
[q^3*Phi1^4*Phi2^3*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-3)*(q+1)^2],
[q^2*Phi1^4*Phi2^4*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^20*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi12, 1/2*q^2-q-1/2],
[q*Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/64*(q+1)*(7*q^3-15*q^2-q+13)*(q-1)^2],
[q^20*Phi1*Phi2*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, 1/2*(q-1)^2],
[q^5*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[Phi1^4*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*q*(q-1)*(q-3)*(3*q^2-6*q-1)*(q+1)^2],
[q^8*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/4*q^2-7/2*q+5/4],
[q^18*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1],
[q^9*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q+1)*(q^2-2*q-1)],
[q^6*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q^3-3*q^2+4*q-6)],
[q^13*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q*(q-3)],
[q^3*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(7*q^3-26*q^2+25*q-14)],
[q^9*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(2*q-1)*(q-3)],
[q^22*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, 1],
[q^13*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-2)],
[q^2*Phi1^3*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q+1)*(q-2)*(q-1)^2],
[q^6*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(5*q^2+2*q+1)*(q-3)^2],
[q^11*Phi1*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^4*Phi1^3*Phi2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(q^2-4*q+1)],
[q^8*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-7)],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-3)*(13*q^3-33*q^2-5*q-7)*(q-1)^2],
[q^5*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)],
[q^4*Phi1^2*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*q^4-7/6*q^3+5/2*q^2-11/6*q+21/16],
[q^8*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(3*q-7)],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(4*q^3-25*q^2+54*q-37)],
[q^6*Phi1*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)],
[q^5*Phi1*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)],
[Phi1^6*Phi2^6*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/32*(q^2+1)*(q+1)^2*(q-1)^3],
[Phi1^5*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/128*(q+1)*(q^2-5)*(q-1)^4],
[q^3*Phi1^4*Phi2^5*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-1)*(q-3)*(q+1)*(q^2-5)],
[Phi1^6*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/72*q*(q-2)*(q+1)*(q^2+2*q+3)*(q-1)^2],
[q^3*Phi1^5*Phi2^4*Phi3*Phi4^3*Phi5*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q+1)*(q-1)^2],
[q*Phi1^5*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*q*(q-3)*(q-1)^2*(q+1)^2],
[q^2*Phi1^5*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/8*(q-1)*(q-2)*(q+1)*(q^2+1)],
[Phi1^5*Phi2^5*Phi3*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q+1)*(q^2+q+2)*(q-1)^3],
[q^12*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/4*(q-1)*(q-2)*(q+1)],
[q^2*Phi1^4*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-1)*(q+1)*(5*q^3-16*q^2+11*q+4)],
[q^3*Phi1^4*Phi2^5*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q+1)*(q-1)^2],
[q^5*Phi1^3*Phi2^4*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)*(q+1)],
[Phi1^4*Phi2^6*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/72*q*(q-2)*(q+1)*(q^2+2*q+3)*(q-1)^2],
[q^6*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi7*Phi8*Phi10*Phi12, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^3*Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/96*(q-1)*(q+1)*(3*q^3+q^2-21*q-15)],
[q^7*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)*(q-3)*(q+1)],
[Phi1^5*Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi10*Phi12, 1/64*(q-1)*(q+1)*(q^2+1)*(q^3-3*q^2-3*q+13)],
[q*Phi1^4*Phi2^5*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/10*q*(q-1)*(q-3)*(q+1)*(q^2+1)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/128*(q+1)*(5*q^3-7*q^2-7*q+17)*(q-1)^3],
[q^6*Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-1)^3],
[q^14*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi10*Phi12, 1/2*q-3/2],
[q^30*Phi4*Phi7*Phi12, q-2],
[q^4*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(7*q^2-12*q-11)],
[q^3*Phi1^3*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(q+1)*(3*q^2-2*q-7)],
[q^21*Phi2^3*Phi4^2*Phi6*Phi8*Phi10*Phi12, q-3],
[q^7*Phi1^2*Phi2^3*Phi3*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q^6*Phi1^2*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/6*q*(2*q-5)*(q-1)*(q+1)],
[q^12*Phi1^2*Phi3^2*Phi4*Phi5*Phi7*Phi8*Phi10*Phi12, 1/4*q-3/4],
[q*Phi1^4*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*q*(q-1)*(q-3)*(q+1)*(q^2-2*q-5)],
[q^5*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)^2],
[q^9*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^12*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi10*Phi12, 1/8*(q-3)*(q^2-3*q-2)],
[q^2*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-1)*(9*q^4-30*q^3+6*q^2+46*q+17)],
[q^21*Phi2*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, q-3],
[q^12*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/4*(q-2)*(q-1)^2],
[q*Phi1^3*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*q*(q+1)*(3*q^2-12*q+11)*(q-1)^2],
[q^5*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q*(q-3)^2],
[q^10*Phi1*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-3)*(q-1)^2],
[q^15*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, q-3],
[q^12*Phi2^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 5/4*q-15/4],
[q^3*Phi1^3*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-3)*(q^3-7*q^2+11*q+7)],
[q^7*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q^2-4*q+1)],
[Phi1^3*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/768*(q+1)*(q-3)*(3*q^3-13*q^2-3*q+37)*(q-1)^2],
[q^4*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 7/16*q^3-41/16*q^2+73/16*q-23/16],
[q^14*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^3*Phi1^2*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-3)*(9*q^4-16*q^3+42*q^2+64*q+45)],
[q^7*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(5*q-11)*(q-1)*(q-3)],
[q^12*Phi2^2*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, q-3],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-3)*(23*q^4-141*q^3+287*q^2-147*q+122)],
[q^5*Phi1*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-1)*(q-3)^2],
[q^9*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*q-3/2],
[q^4*Phi1*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(5*q-17)],
[q^7*Phi2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*q-3/4],
[Phi1^5*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/96*q*(q^2-4*q+5)*(q-1)^2*(q+1)^2],
[q*Phi1^4*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/64*(q-1)*(q+1)*(q^2-5)*(q-3)^2],
[q^2*Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*q*(q-1)*(q+1)*(q-3)^2],
[q^6*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q+1)*(q-3)^2],
[Phi1^4*Phi2^6*Phi3^2*Phi4^3*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/40*q*(q-1)*(q+1)*(q^2+1)*(q^2-4*q+5)],
[q^3*Phi1^3*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-1)*(q-3)*(2*q-7)*(q+1)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/288*q*(q-1)*(q-3)*(q+1)*(q^3-5*q^2-q+29)],
[q^8*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[q*Phi1^3*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/64*(q-1)*(q-3)*(q+1)*(5*q^3-19*q^2+q+45)],
[q^20*Phi2^2*Phi3*Phi4*Phi6*Phi7*Phi10*Phi12, 1/4*(q-3)^2],
[q^5*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[Phi1^3*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*q*(q+1)*(q^2-4*q+5)*(q-1)^3],
[q^15*Phi2^3*Phi4^2*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)^2],
[q^3*Phi1^2*Phi2^5*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q+1)*(q-3)^2],
[q^6*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-3)*(q^3-8*q^2+17*q+2)],
[q^3*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(3*q^3-20*q^2+37*q+4)],
[q^13*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-4)],
[q^2*Phi1^2*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/12*q*(q-1)*(q-3)*(q-4)*(q+1)],
[q^6*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/16*(q-1)^2*(q-3)^2],
[q^11*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[q^9*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(2*q-9)],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-3)*(9*q^5-75*q^4+214*q^3-146*q^2-223*q-163)],
[q^4*Phi1*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-1)*(q-3)*(3*q^2-20*q+27)],
[q^8*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(7*q-31)],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-1)*(q-3)*(2*q-7)*(5*q-17)],
[q^6*Phi2^2*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/2*(q-3)*(q-5)],
[q^5*Phi2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)],
[Phi1^4*Phi2^6*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/768*(q-1)*(q-3)*(q+1)*(q^2-6*q+11)*(q^2-5)],
[q^2*Phi1^3*Phi2^5*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-3)*(q+1)*(2*q^2-15*q+31)],
[Phi1^3*Phi2^5*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/1536*(q-1)*(q-3)*(3*q-7)*(q+1)*(3*q^3-13*q^2+9*q+49)],
[q^4*Phi1^2*Phi2^4*Phi3^2*Phi4*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(q-5)*(q-7)*(q-3)],
[q^2*Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-3)*(5*q^4-49*q^3+187*q^2-239*q-96)],
[q^12*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8*Phi10*Phi12, 1/24*(q-5)*(q-3)*(q-4)],
[q*Phi1^2*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*q*(q-1)*(q-3)*(q+1)*(q^2-8*q+17)],
[q^10*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q^2-8*q+17)],
[Phi1^2*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/15360*(q+1)*(q-3)*(21*q^5-243*q^4+1148*q^3-2568*q^2+1807*q+1755)],
[q^3*Phi1*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/32*(q-3)*(q^2-8*q+17)*(q-1)^2],
[q^7*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 3/8*(q-3)*(q-5)^2],
[q^6*Phi2^4*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/8*(q-3)*(q-5)^2],
[q^2*Phi1*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(q-1)*(q-2)*(q-3)*(q-5)*(5*q-23)],
[q^5*Phi2^3*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/4*(q-5)*(q-6)*(q-3)],
[q^4*Phi2^2*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/96*(13*q-79)*(q-3)*(q-5)],
[Phi1^2*Phi2^6*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/1152*q*(q-5)*(q-1)*(q-3)*(q+1)*(q^2-8*q+19)],
[q^6*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/192*(q-3)*(q-5)*(5*q^2-52*q+143)],
[q*Phi1*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/3840*(q-5)*(q-1)*(q-3)*(21*q^3-237*q^2+839*q-743)],
[q^4*Phi2^4*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/16*(q-3)*(q-5)*(q^2-12*q+37)],
[q^3*Phi2^3*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/48*(q-5)*(q-7)*(q-3)*(2*q-13)],
[Phi1*Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/7680*(q-5)*(q-7)*(q-3)*(q^2-10*q+29)*(q-1)^2],
[q^3*Phi2^5*Phi3*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/384*(q-5)*(q-7)*(q-3)*(q^2-12*q+39)],
[q^2*Phi2^4*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/1920*(q-5)*(q-7)*(q-3)*(11*q^2-155*q+564)],
[q*Phi2^5*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/3840*(q-3)*(q-5)*(q-7)*(q-9)*(q^2-14*q+53)],
[Phi2^6*Phi3^2*Phi4^3*Phi5*Phi6^2*Phi7*Phi8*Phi10*Phi12, 1/322560*(q-3)*(q-5)*(q-7)*(q-9)*(q-11)*(q^2-14*q+55)]
];