DegreesAndMultiplicities2E6ad_5mod6 := [
[1, 3],
[q*Phi8*Phi18, 3],
[Phi3*Phi6^2*Phi12*Phi18, q-2],
[q^2*Phi4*Phi8*Phi10*Phi12, 3],
[Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 3],
[1/2*q^3*Phi8*Phi10*Phi12*Phi18, 3],
[1/2*q^3*Phi4^2*Phi10*Phi12*Phi18, 3],
[1/2*q^3*Phi2^4*Phi6^2*Phi10*Phi18, 3],
[1/2*q^3*Phi3^2*Phi8*Phi10*Phi18, 3],
[Phi1*Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 3/2*q-3/2],
[q*Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 3],
[Phi2*Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 3/2*q-9/2],
[q^4*Phi1^3*Phi3^2*Phi4^2*Phi8*Phi12, 3],
[q*Phi3^2*Phi6^2*Phi10*Phi12*Phi18, q-2],
[Phi3*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q^2-1/6*q+2/3],
[q^2*Phi3*Phi4*Phi6^2*Phi8*Phi12*Phi18, q-2],
[q^6*Phi4^2*Phi8*Phi12*Phi18, 3],
[Phi2^2*Phi3*Phi4*Phi6^2*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-2)],
[Phi1^2*Phi2^4*Phi4^2*Phi8*Phi10*Phi18, 1/3*(q+1)*(q-2)],
[q^5*Phi4*Phi8*Phi10*Phi12*Phi18, 3],
[Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, q-5],
[q*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3],
[Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[q*Phi1*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-3/2],
[q^2*Phi3*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-2],
[q*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, q-5],
[q^2*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3],
[q^6*Phi3^2*Phi6^3*Phi12*Phi18, 3],
[Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[q*Phi2*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[Phi1*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1],
[Phi2^2*Phi3*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q+1/2],
[Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q-5/2],
[q^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 3],
[1/6*q^7*Phi1^4*Phi8*Phi10*Phi12*Phi18, 3],
[1/6*q^7*Phi3^2*Phi4^2*Phi8*Phi10*Phi18, 3],
[1/3*q^7*Phi3^2*Phi6^3*Phi8*Phi10*Phi12, 3],
[1/3*q^7*Phi1^4*Phi2^6*Phi4^2*Phi8*Phi10, 6],
[1/3*q^7*Phi3^2*Phi8*Phi10*Phi12*Phi18, 3],
[1/2*q^3*Phi3*Phi6^3*Phi8*Phi10*Phi12*Phi18, q-2],
[1/2*q^7*Phi4^2*Phi8*Phi10*Phi12*Phi18, 3],
[1/2*q^3*Phi3^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-2],
[1/2*q^3*Phi3^2*Phi4^2*Phi6^2*Phi10*Phi12*Phi18, q-2],
[1/2*q^7*Phi2^4*Phi6^2*Phi8*Phi10*Phi18, 3],
[1/2*q^3*Phi2^4*Phi3*Phi6^3*Phi10*Phi12*Phi18, q-2],
[q*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, q-5],
[Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-5/2*q+6],
[q^2*Phi1*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 3/2*q-3/2],
[q*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q^2-1/6*q+2/3],
[q*Phi1^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 3],
[Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q^3*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3],
[q*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-5],
[q^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 3],
[q*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-2)],
[q^3*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3],
[Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-2)*(q-3)],
[q^2*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 3/2*q-9/2],
[q*Phi1^2*Phi2^4*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)],
[Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/8*(q-3)*(q^2-2*q+9)],
[Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/4*q^2-q+7/4],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, q-5],
[q^3*Phi1*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-3/2],
[q*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-5/2*q+6],
[q^4*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-2],
[q^2*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-1/2*q+2],
[Phi1^2*Phi2^4*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q*(q+1)],
[Phi1*Phi2^3*Phi3*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q+1)^2],
[q^2*Phi2^2*Phi3*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q+1/2],
[q^3*Phi1*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-3/2],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/4*q^3-3/4*q^2+7/4*q-13/4],
[q^10*Phi3^2*Phi6^3*Phi12*Phi18, 3],
[q^6*Phi3^2*Phi6^3*Phi8*Phi12*Phi18, q-2],
[Phi2^2*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q+1)*(q^2-2*q-1)],
[q*Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q^4*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3],
[q^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q-5/2],
[Phi1*Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 3/4*(q-1)^2],
[q^12*Phi4^2*Phi8*Phi12*Phi18, 3],
[q^3*Phi1*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 3],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/4*(q-1)^2],
[q^4*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3],
[q^3*Phi2*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-2)*(q-3)],
[q^2*Phi2^2*Phi3^2*Phi4*Phi6^3*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-2)],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-2)],
[q*Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q^3*Phi2*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/8*(q+1)*(q-3)^2],
[Phi2^4*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/4*(q-3)*(q-5)],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 3],
[q^4*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12*Phi18, 3],
[q*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3*q-9],
[q^2*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-5],
[Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-4*q+21/2],
[q*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q-5/2],
[q^11*Phi4*Phi8*Phi10*Phi12*Phi18, 3],
[q^5*Phi3^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-2],
[q*Phi2^2*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q+1/2],
[Phi2^3*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-3)],
[q^4*Phi1^4*Phi3^2*Phi4^2*Phi6*Phi8*Phi12*Phi18, 3/2*q-3/2],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[q^2*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-5)*(q^2-4*q+13)],
[q*Phi1*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-5/2*q+6],
[Phi1^2*Phi2^2*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q-1)*(q+1)],
[q^5*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12*Phi18, 3],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3*q-9],
[q^3*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-5],
[q^6*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-2],
[q*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, q^2-8*q+21],
[q^3*Phi1*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi12*Phi18, q-5],
[q^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, q-5],
[Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/24*q^2-1/6*q+19/24],
[q^13*Phi1^3*Phi3^2*Phi4^2*Phi8*Phi12, 3],
[q^4*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12*Phi18, 3/2*q-9/2],
[q^4*Phi1^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 6],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*(q-1)^2],
[q^2*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[q^2*Phi2^2*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q+1/2],
[q^3*Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3*q-9],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-3)*(q^2-2*q+3)],
[q^6*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3],
[q*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q-2)*(q-3)],
[q^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q-5/2],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, (q+1)*(q-2)],
[Phi1^2*Phi2^4*Phi3^2*Phi4*Phi6^3*Phi10*Phi12*Phi18, 1/4*(q-1)*(q+1)],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)^2],
[q^6*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3],
[Phi2^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q+1)*(q-3)],
[Phi1^2*Phi2^4*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)],
[1/2*q^3*Phi1^4*Phi3^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q^2-1/6*q+2/3],
[1/2*q^7*Phi3*Phi6^3*Phi8*Phi10*Phi12*Phi18, q-2],
[1/2*q^3*Phi3*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/6*q^2-1/6*q+2/3],
[1/2*q^3*Phi1^4*Phi2^4*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)],
[1/2*q^15*Phi8*Phi10*Phi12*Phi18, 3],
[1/2*q^15*Phi4^2*Phi10*Phi12*Phi18, 3],
[1/2*q^7*Phi3^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-2],
[1/2*q^3*Phi2^2*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, (q+1)*(q-2)],
[1/2*q^7*Phi3^2*Phi4^2*Phi6^2*Phi10*Phi12*Phi18, q-2],
[1/2*q^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q^2-1/6*q+2/3],
[1/2*q^3*Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi8*Phi10*Phi18, 1/3*(q+1)*(q-2)],
[1/2*q^3*Phi1^2*Phi2^6*Phi4^2*Phi6^2*Phi8*Phi10*Phi18, 1/3*(q+1)*(q-2)],
[1/2*q^15*Phi2^4*Phi6^2*Phi10*Phi18, 3],
[1/2*q^7*Phi2^4*Phi3*Phi6^3*Phi10*Phi12*Phi18, q-2],
[1/2*q^3*Phi2^4*Phi3*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/6*q^2-1/6*q+2/3],
[1/2*q^15*Phi3^2*Phi8*Phi10*Phi18, 3],
[1/2*q^3*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, (q+1)*(q-2)],
[1/2*q^3*Phi1^2*Phi2^6*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)],
[Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/72*(q-5)*(q^3-6*q^2+18*q-47)],
[q*Phi1^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q-3)*(q^2-2*q+9)],
[q^3*Phi1^4*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-2)*(q^2-4*q+1)],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[q^2*Phi1*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-5/2*q+6],
[Phi1*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/12*q^3-2/3*q^2+35/12*q-22/3],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/12*q^4-5/12*q^3+q^2-23/12*q+31/12],
[q^6*Phi1*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-3/2],
[q^4*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-5],
[q*Phi1*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*q^3-3/4*q^2+7/4*q-13/4],
[q^2*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, q^2-13/2*q+33/2],
[q^4*Phi1*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi12*Phi18, q-5],
[q^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, q-5],
[q*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/6*q^2-2/3*q+19/6],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/18*(q+1)*(q-2)*(q^2-q+4)],
[q^6*Phi1*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-3/2],
[Phi1*Phi2^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q-2)*(q+1)],
[q^4*Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3*q-9],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-3)*(q^2-2*q+3)],
[q^7*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3],
[q^3*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[q^7*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 3],
[q^2*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q-2)*(q-3)],
[q^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-5],
[Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/12*(q-3)*(q^2-q+4)],
[Phi1^3*Phi2^4*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q-2)*(q+1)],
[Phi1^2*Phi2^5*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q+1)*(q^2-q+1)],
[q*Phi1*Phi2^3*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q+1)^2],
[Phi1*Phi2^4*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q+1)*(q^2-q-1)],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)^2],
[q^3*Phi2^2*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, q+1],
[q^2*Phi2^3*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-3)],
[q^6*Phi1*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 3],
[q^3*Phi1*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*(q-1)^2],
[q^7*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/8*(q-1)*(q+1)*(q^2-3*q+1)],
[q^6*Phi2*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q*Phi2^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q+1)*(3*q^2-6*q-5)],
[Phi2^3*Phi3*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/12*(q+1)*(q-3)*(q^2-q-5)],
[q^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-2)*(q-3)],
[q*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)],
[q^3*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, (q+1)*(q-2)],
[Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*(q+1)^2*(q-2)^2],
[q*Phi2^4*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-3)],
[q^6*Phi2*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q^2*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-3)*(q-5)*(q+2)],
[Phi1^3*Phi2^4*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/18*(q+1)*(q-2)*(q^2-q-5)],
[Phi1^2*Phi2^5*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*(q-2)*(q-3)*(q+1)],
[q^2*Phi1^4*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/4*q^2-q+7/4],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-5)*(q^2-4*q+13)],
[Phi1^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*(q-5)*(q^3-8*q^2+25*q-86)],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q^4*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/8*q^3+3/8*q^2-49/8*q+141/8],
[q^3*Phi1*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-5/2*q+6],
[q*Phi1*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*q^3-2*q^2+35/4*q-22],
[Phi1^3*Phi2^3*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*q*(q-1)*(q+1)^2],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q+1)],
[q^5*Phi1^3*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 3],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/4*(q-1)^2],
[Phi1^2*Phi2^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/16*q*(q-1)*(q-3)*(q+1)],
[q^10*Phi3*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-2],
[q^4*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3*q-9],
[q^6*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, q-5],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-3)*(q^2-2*q+3)],
[q^5*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-5],
[q^7*Phi1*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 3/2*q-3/2],
[q^6*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-1/2*q+2],
[q^3*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, q^2-13/2*q+33/2],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*q^4-5/8*q^3+13/8*q^2-23/8*q+15/4],
[q^4*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, q-5],
[q^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*q^2-q+19/4],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-2)],
[q^2*Phi1^2*Phi2^4*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q*(q+1)],
[Phi1^2*Phi2^4*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-2)*(q+2)*(q+1)],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)^2],
[q^20*Phi4*Phi8*Phi10*Phi12, 3],
[q^2*Phi1*Phi2^3*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q+1)^2],
[q^6*Phi2^2*Phi3*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q+1/2],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q+1)*(q^3-2*q^2+4*q-2)],
[q^4*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[q^10*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3],
[q^12*Phi3*Phi4*Phi6^2*Phi8*Phi12*Phi18, q-2],
[q*Phi1*Phi2^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q-2)*(q+1)],
[q^4*Phi2^2*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q+1/2],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/4*q^3-3/4*q^2+7/4*q-13/4],
[q^6*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q-5/2],
[q^8*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 3],
[q^3*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q-2)*(q-3)],
[q^2*Phi2^2*Phi3*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q+1)*(q^2-2*q-1)],
[q^4*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q-5/2],
[q*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-3)*(q^2-q+4)],
[q^2*Phi1*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 3/4*(q-1)^2],
[Phi1*Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q^3-q^2-5*q+3)],
[q^3*Phi2^3*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-3)],
[q^6*Phi2^2*Phi3^2*Phi4*Phi6^3*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-2)],
[q^7*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 3/2*q-9/2],
[q^2*Phi2^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-3)],
[q^3*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-2)*(q-3)],
[Phi2^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/16*(q+1)*(q-3)*(q^2-3*q-2)],
[q^3*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q*Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-3)*(q-5)*(q+2)],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/8*(q+1)*(q-3)^2],
[q^2*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/4*(q-3)*(q-5)],
[Phi2^4*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*(q-3)*(q-5)*(q^2-3*q-16)],
[q*Phi1^4*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/72*(q-5)*(q^3-6*q^2+18*q-47)],
[Phi1^3*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/720*(q-5)*(q^4-15*q^3+70*q^2-195*q+559)],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-5)*(q^2-4*q+13)],
[q^3*Phi1^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q-3)*(q^2-2*q+9)],
[q*Phi1^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/24*(q-5)*(q^3-8*q^2+25*q-86)],
[q^4*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[q^6*Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[q*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/12*q^4-5/12*q^3+q^2-23/12*q+31/12],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-2)*(q^2-4*q+1)],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*q^5-1/6*q^4+23/48*q^3-47/48*q^2+11/6*q-121/48],
[q^4*Phi1*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-5/2*q+6],
[q^2*Phi1*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*q^3-2*q^2+35/4*q-22],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/18*(q+1)*(q-2)*(q^2-q+4)],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/18*(q-1)*(q-2)*(q+1)*(q^2+2)],
[q^10*Phi1*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-3/2],
[q^5*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3*q-9],
[q^7*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, q-5],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-3)*(q^2-2*q+3)],
[q^6*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-5/2*q+6],
[q^3*Phi1*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*q^3-3/4*q^2+7/4*q-13/4],
[q^4*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, q^2-8*q+21],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*q^4-5/4*q^3+13/4*q^2-23/4*q+15/2],
[q^7*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q^2-1/6*q+2/3],
[q^5*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q-5/2],
[q^3*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/6*q^2-2/3*q+19/6],
[q^2*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)^2],
[Phi1^2*Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q-1)*(q^2-q+1)*(q+1)^2],
[q^7*Phi1^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 3],
[q^4*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*(q-1)^2],
[q^6*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/24*(q+1)*(11*q^3-28*q^2+44*q-19)],
[q^10*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, q-5],
[q^13*Phi3^2*Phi6^2*Phi10*Phi12*Phi18, q-2],
[q^11*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3],
[q^2*Phi1*Phi2^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q-2)*(q+1)],
[q^6*Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q^3*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-3)*(q^2-2*q+3)],
[q^7*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-5],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/16*(q-1)*(q-3)*(q+1)*(q^2-q-1)],
[q^4*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q-2)*(q-3)],
[q^2*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-3)*(q^2-q+4)],
[q^4*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, (q+1)*(q-2)],
[q*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*(q+1)^2*(q-2)^2],
[q^25*Phi8*Phi18, 3],
[Phi1^3*Phi2^4*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi12*Phi18, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^3*Phi1*Phi2^3*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q+1)^2],
[q^3*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)^2],
[Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-2)*(q^2-2*q+2)*(q+1)^2],
[q^15*Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 3],
[q^10*Phi2*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q*Phi1*Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q-2)*(q+1)^2],
[q^7*Phi2^2*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-2)],
[q^5*Phi2^2*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q+1/2],
[q^6*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-2)*(q-3)],
[q^3*Phi2^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q+1)*(3*q^2-6*q-5)],
[q*Phi2^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q+1)*(q-3)*(q^2-3*q-2)],
[q*Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/18*(q+1)*(q-2)*(q^2-q-5)],
[q^7*Phi1^2*Phi2^4*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)],
[q*Phi1^2*Phi2^6*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q+1)*(q^2-q+1)],
[Phi1^3*Phi2^4*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/18*(q+1)*(q^4-3*q^3+4*q^2-3*q+4)],
[q^3*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)],
[Phi1^2*Phi2^5*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q+1)*(q-2)*(q^3-q^2+2*q-3)],
[q*Phi1*Phi2^5*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q+1)*(q^2-q-1)],
[Phi1*Phi2^4*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q-1)*(q-3)*(q+1)*(q^2-q-1)],
[q^6*Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q^3*Phi2^4*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-3)],
[q^2*Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-3)*(q-5)*(q+2)],
[q*Phi2^4*Phi3*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/12*(q+1)*(q-3)*(q^2-q-5)],
[Phi2^3*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*(q-3)*(q^4-5*q^3-8*q^2+33*q+59)],
[Phi1^4*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/51840*(q^4-20*q^3+120*q^2-200*q+1099)*(q-5)^2],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/720*(q-5)*(q^4-15*q^3+70*q^2-195*q+559)],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/72*(q-5)*(q^3-6*q^2+18*q-47)],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/1440*q^6-1/120*q^5+11/288*q^4-1/12*q^3+73/480*q^2-107/360*q+121/288],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*(q-5)*(q^3-8*q^2+25*q-86)],
[Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/216*(q+1)*(q-2)*(q^4-2*q^3+3*q^2-2*q+4)],
[q^6*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/8*(q-3)*(q^2-2*q+9)],
[q^4*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-5)*(q^2-4*q+13)],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*q^5-1/6*q^4+23/48*q^3-47/48*q^2+11/6*q-121/48],
[q^3*Phi1*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/12*q^3-2/3*q^2+35/12*q-22/3],
[Phi1^4*Phi2^4*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/96*(q-1)*(q^2-3)*(q+1)^3],
[q^2*Phi1^3*Phi2^3*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*q*(q-1)*(q+1)^2],
[Phi1^3*Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/32*(q-1)*(q^3-q^2-q-1)*(q+1)^2],
[q^4*Phi1^2*Phi2^2*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q-1)*(q+1)],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/18*(q-1)*(q-2)*(q+1)*(q^2+2)],
[q^10*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/16*q*(q-1)*(q-3)*(q+1)],
[q^12*Phi3*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q^2-1/6*q+2/3],
[q^6*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/4*q^2-q+7/4],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/12*q^4-5/12*q^3+q^2-23/12*q+31/12],
[q^7*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-5/2*q+6],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/192*(q-1)*(q-3)*(q^2-4*q+1)*(q+1)^2],
[q^5*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-4*q+21/2],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*q^4-5/8*q^3+13/8*q^2-23/8*q+15/4],
[q^4*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/24*q^2-1/6*q+19/24],
[Phi1^4*Phi2^6*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/72*q*(q+1)*(q-2)*(q^3+2*q^2+2*q+7)],
[Phi1^3*Phi2^5*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/12*q^3*(q-1)*(q+1)^2],
[q^6*Phi1^2*Phi2^4*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q*(q+1)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi12*Phi18, 1/10*q^2*(q-1)*(q+1)*(q^2+1)],
[q^2*Phi1^2*Phi2^4*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-2)*(q+2)*(q+1)],
[q^6*Phi1*Phi2^3*Phi3*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q+1)^2],
[q^3*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/18*(q+1)*(q-2)*(q^2-q+4)],
[Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/36*(q^2-q+2)*(q+1)^2*(q-2)^2],
[q^15*Phi1*Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 3/2*q-3/2],
[q^20*Phi3*Phi6^2*Phi12*Phi18, q-2],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q-1)*(q^2-q+1)*(q+1)^2],
[Phi1^2*Phi2^4*Phi3*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/36*q*(q+1)*(q^4-5*q^2+10)],
[q^8*Phi2^2*Phi3*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q+1/2],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q+1)*(q^3-2*q^2+4*q-2)],
[q^11*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, q-5],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/4*q^3-3/4*q^2+7/4*q-13/4],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q-2)*(q+1)],
[q^6*Phi2^2*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q+1)*(q^2-2*q-1)],
[q^7*Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q^4*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-3)*(q^2-2*q+3)],
[q^8*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q-5/2],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/16*(q-1)*(q-3)*(q+1)*(q^2-q-1)],
[q^3*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/12*(q-3)*(q^2-q+4)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/108*(q+1)*(q-2)*(q^4-2*q^3+3*q^2-11*q+7)],
[q^3*Phi1^3*Phi2^4*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q-2)*(q+1)],
[Phi1^3*Phi2^5*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/12*(q-1)*(q+1)*(q^4-q^3+2*q^2-3*q+2)],
[Phi1^4*Phi2^6*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12, 1/9*(q+1)*(q^3-2)*(q^2-q+1)],
[q^3*Phi1^2*Phi2^5*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q+1)*(q^2-q+1)],
[Phi1^3*Phi2^5*Phi3^2*Phi4^2*Phi6^3*Phi10*Phi12*Phi18, 1/8*(q^2+1)*(q-1)^2*(q+1)^2],
[q*Phi1^3*Phi2^4*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi12*Phi18, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^36, 3],
[q^4*Phi1^2*Phi2^4*Phi3^2*Phi4*Phi6^3*Phi10*Phi12*Phi18, 1/4*(q-1)*(q+1)],
[Phi1^2*Phi2^4*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/16*(q-1)*(q^3-3*q^2+3*q-3)*(q+1)^2],
[q^6*Phi1*Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 3/4*(q-1)^2],
[q^3*Phi1*Phi2^4*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q+1)*(q^2-q-1)],
[q^4*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)^2],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-2)*(q^2-2*q+2)*(q+1)^2],
[q^10*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, 1/2*q^2-2*q+7/2],
[q^16*Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 3],
[q^12*Phi2^2*Phi3*Phi4*Phi6^2*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-2)],
[q^2*Phi1*Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q^3-q^2-5*q+3)],
[q^5*Phi2^3*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-3)],
[q^9*Phi1*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1],
[q^6*Phi1*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 3/4*(q-1)^2],
[q^3*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/8*(q-1)*(q+1)*(q^2-3*q+1)],
[q^7*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-2)*(q-3)],
[Phi1*Phi2^3*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/96*(q-1)*(q^5-3*q^4-8*q^3+20*q^2+35*q-37)],
[q^4*Phi2^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q+1)*(q-3)],
[q^3*Phi2^3*Phi3*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/12*(q+1)*(q-3)*(q^2-q-5)],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/16*(q+1)*(q-3)*(q^2-3*q-2)],
[q*Phi1^3*Phi2^4*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/18*(q+1)*(q^4-3*q^3+4*q^2-3*q+4)],
[Phi1^4*Phi2^6*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi18, 1/12*q^2*(q-1)*(q+1)*(q^2-q+1)],
[q^12*Phi1^2*Phi2^4*Phi4^2*Phi8*Phi10*Phi18, 1/3*(q+1)*(q-2)],
[q^4*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*(q+1)*(q-2)],
[Phi1^3*Phi2^5*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi12*Phi18, 1/10*q*(q-1)*(q-2)*(q+1)*(q^2+1)],
[q*Phi1^2*Phi2^5*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q+1)*(q-2)*(q^3-q^2+2*q-3)],
[q^6*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q+1)*(q-2)],
[q^3*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*(q+1)^2*(q-2)^2],
[Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/24*q*(q-1)*(q+1)^2*(q-2)^2],
[q^15*Phi2*Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 3/2*q-9/2],
[q*Phi1*Phi2^4*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q-1)*(q-3)*(q+1)*(q^2-q-1)],
[q^7*Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 3/2*q-9/2],
[q^6*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/8*(q+1)*(q-3)^2],
[q^3*Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-3)*(q-5)*(q+2)],
[q*Phi2^3*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*(q-3)*(q^4-5*q^3-8*q^2+33*q+59)],
[q^3*Phi1^3*Phi2^4*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/18*(q+1)*(q-2)*(q^2-q-5)],
[Phi1^3*Phi2^5*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/36*(q+1)*(q-2)*(q^4-2*q^3+q^2-3*q+11)],
[q^3*Phi1^2*Phi2^5*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*(q-2)*(q-3)*(q+1)],
[Phi1^2*Phi2^6*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/36*(q-2)*(q-3)*(q+1)*(q^3-q^2+2*q-5)],
[Phi1*Phi2^5*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/96*(q-1)*(q-3)*(q+1)*(q^3-5*q^2+3*q+3)],
[q^6*Phi2^4*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/4*(q-3)*(q-5)],
[q^2*Phi2^4*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*(q-3)*(q-5)*(q^2-3*q-16)],
[Phi2^4*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/1152*(q-3)*(q-5)*(q^4-6*q^3-14*q^2+54*q+157)],
[Phi1^4*Phi2^6*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/648*(q+1)*(q-2)*(q^4-2*q^3-6*q^2+7*q+28)]
];