DegreesAndMultiplicities2E6sc_1mod6 := [
[1, 1],
[q*Phi8*Phi18, 1],
[Phi3*Phi6^2*Phi12*Phi18, q],
[q^2*Phi4*Phi8*Phi10*Phi12, 1],
[Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 1],
[1/2*q^3*Phi8*Phi10*Phi12*Phi18, 1],
[1/2*q^3*Phi4^2*Phi10*Phi12*Phi18, 1],
[1/2*q^3*Phi2^4*Phi6^2*Phi10*Phi18, 1],
[1/2*q^3*Phi3^2*Phi8*Phi10*Phi18, 1],
[Phi1*Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 1/2*q-1/2],
[q*Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 1],
[Phi2*Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 1/2*q-3/2],
[q^4*Phi1^3*Phi3^2*Phi4^2*Phi8*Phi12, 1],
[q*Phi3^2*Phi6^2*Phi10*Phi12*Phi18, q],
[Phi3*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)],
[q^2*Phi3*Phi4*Phi6^2*Phi8*Phi12*Phi18, q],
[q^6*Phi4^2*Phi8*Phi12*Phi18, 1],
[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*(q-1)],
[q^5*Phi4*Phi8*Phi10*Phi12*Phi18, 1],
[Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, q-1],
[q*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1],
[Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, 1/2*(q-1)^2],
[q*Phi1*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[q^2*Phi3*Phi6^2*Phi8*Phi10*Phi12*Phi18, q],
[q*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, q-1],
[q^2*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1],
[q^6*Phi3^2*Phi6^3*Phi12*Phi18, 1],
[Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, 1/2*(q-1)^2],
[q*Phi2*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q-3/2],
[Phi2^3*Phi4*Phi6^2*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-1/2],
[q^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 1],
[1/6*q^7*Phi1^4*Phi8*Phi10*Phi12*Phi18, 1],
[1/6*q^7*Phi3^2*Phi4^2*Phi8*Phi10*Phi18, 1],
[1/3*q^7*Phi3^2*Phi6^3*Phi8*Phi10*Phi12, 1],
[1/3*q^7*Phi1^4*Phi2^6*Phi4^2*Phi8*Phi10, 2],
[1/3*q^7*Phi3^2*Phi8*Phi10*Phi12*Phi18, 1],
[1/2*q^3*Phi3*Phi6^3*Phi8*Phi10*Phi12*Phi18, q],
[1/2*q^7*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1],
[1/2*q^3*Phi3^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, q],
[1/2*q^3*Phi3^2*Phi4^2*Phi6^2*Phi10*Phi12*Phi18, q],
[1/2*q^7*Phi2^4*Phi6^2*Phi8*Phi10*Phi18, 1],
[1/2*q^3*Phi2^4*Phi3*Phi6^3*Phi10*Phi12*Phi18, q],
[q*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, q-1],
[Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)*(q-2)],
[q^2*Phi1*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 1/2*q-1/2],
[q*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)],
[Phi1*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[q^3*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1],
[q*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-1],
[q^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 1],
[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, 1],
[Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q*(q-3)],
[q^2*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 1/2*q-3/2],
[q*Phi1^2*Phi2^4*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/3*q*(q-1)],
[q*Phi2^4*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1],
[Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q-5/2],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, 1/2*(q-1)^2],
[Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/8*(q-3)*(q-1)^2],
[Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/12*(q-1)*(q-3)],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, q-1],
[q^3*Phi1*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[q*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)*(q-2)],
[q^4*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q],
[q^2*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q*(q-1)],
[Phi1^2*Phi2^4*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q+2)*(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, 1/2*q-1/2],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, 1/2*(q-1)^2],
[Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)^3],
[q^10*Phi3^2*Phi6^3*Phi12*Phi18, 1],
[q^6*Phi3^2*Phi6^3*Phi8*Phi12*Phi18, q],
[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, 1/2*q-1/2],
[q^4*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1],
[q^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[Phi1*Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)^2],
[q^3*Phi2^3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1],
[q^12*Phi4^2*Phi8*Phi12*Phi18, 1],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)^2],
[q^4*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1],
[q^3*Phi2*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q-3/2],
[q*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q*(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, 1/6*q*(q-1)],
[q*Phi2^3*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q-5/2],
[q^3*Phi2*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q-3/2],
[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, 1/12*q^2-2/3*q+19/12],
[q^4*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi12*Phi18, 1],
[q*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, q-1],
[q^2*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-1],
[Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)*(q-3)],
[q*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[q^11*Phi4*Phi8*Phi10*Phi12*Phi18, 1],
[q^5*Phi3^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, q],
[q*Phi2^2*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q+1/2],
[q^2*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1],
[Phi2^3*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-q-5/2],
[q^4*Phi1^4*Phi3^2*Phi4^2*Phi6*Phi8*Phi12*Phi18, 1/2*q-1/2],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q-3)],
[q^2*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)^2],
[Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q-3)^2],
[q*Phi1*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)*(q-2)],
[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, 1],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, q-1],
[q^3*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-1],
[q^6*Phi3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q],
[q*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, (q-1)*(q-3)],
[q^3*Phi1*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi12*Phi18, q-1],
[q^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, q-1],
[Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/24*(q-1)*(q-3)],
[q^13*Phi1^3*Phi3^2*Phi4^2*Phi8*Phi12, 1],
[q^4*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi12*Phi18, 1/2*q-3/2],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)^2],
[q^2*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)^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, q-1],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)^3],
[q^6*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1],
[q*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q*(q-3)],
[q^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/3*q*(q-1)],
[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^2*(q-1)],
[q^6*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1],
[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*(q-1)],
[1/2*q^3*Phi1^4*Phi3^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)],
[1/2*q^7*Phi3*Phi6^3*Phi8*Phi10*Phi12*Phi18, q],
[1/2*q^3*Phi3*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)],
[1/2*q^3*Phi1^4*Phi2^4*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/3*q*(q-1)],
[1/2*q^15*Phi8*Phi10*Phi12*Phi18, 1],
[1/2*q^15*Phi4^2*Phi10*Phi12*Phi18, 1],
[1/2*q^7*Phi3^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, q],
[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],
[1/2*q^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)],
[1/2*q^3*Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi8*Phi10*Phi18, 1/3*q*(q-1)],
[1/2*q^3*Phi1^2*Phi2^6*Phi4^2*Phi6^2*Phi8*Phi10*Phi18, 1/3*q*(q-1)],
[1/2*q^15*Phi2^4*Phi6^2*Phi10*Phi18, 1],
[1/2*q^7*Phi2^4*Phi3*Phi6^3*Phi10*Phi12*Phi18, q],
[1/2*q^3*Phi2^4*Phi3*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)],
[1/2*q^15*Phi3^2*Phi8*Phi10*Phi18, 1],
[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*(q-1)],
[Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/72*(q-1)*(q-3)*(q^2-7*q+9)],
[q*Phi1^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q-3)*(q-1)^2],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[q*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)*(q-3)],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi12*Phi18, 1/2*(q-1)^2],
[q^2*Phi1*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)*(q-2)],
[Phi1*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/12*(q-1)*(q-3)*(q-4)],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q-3)],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/12*(q-1)*(q-3)*(q^2-q+1)],
[q^6*Phi1*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[q^4*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-1],
[q*Phi1*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)^3],
[q^2*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)*(2*q-5)],
[q^4*Phi1*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi12*Phi18, q-1],
[q^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, q-1],
[q*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q-3)],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/18*q^2*(q-1)^2],
[q^6*Phi1*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[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, q-1],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)^3],
[q^7*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1],
[q^3*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi12*Phi18, 1/2*(q-1)^2],
[q^7*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 1],
[q^2*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q*(q-3)],
[q^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-1],
[Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/12*q*(q-1)*(q-3)],
[Phi1^3*Phi2^4*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)^2],
[Phi1^2*Phi2^5*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q^3+q^2+q+2)],
[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^6*Phi2^3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*q^2*(q-1)],
[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^2-q-5/2],
[q^3*Phi1*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)^2],
[q^7*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1],
[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, 1/2*q-3/2],
[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^4-1/4*q^3-1/2*q^2+13/12*q+19/12],
[q^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q*(q-3)],
[q*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*q*(q-1)],
[q^3*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/3*q*(q-1)],
[Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^3*Phi2^4*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1],
[q*Phi2^4*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-q-5/2],
[q^6*Phi2*Phi3^2*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q-3/2],
[q^2*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q-5/2],
[Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*q^3-3/2*q^2+3/4*q+11/2],
[Phi1^3*Phi2^4*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/18*q*(q-1)*(q^2-q-3)],
[Phi1^2*Phi2^5*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)*(q-3)],
[q^2*Phi1^4*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/12*(q-1)*(q-3)],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q-3)^2],
[Phi1^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*(q-1)*(q-6)*(q-3)^2],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[q^4*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)^2],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/8*(q-1)*(q-3)*(q+7)],
[q^3*Phi1*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)*(q-2)],
[q*Phi1*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q-3)*(q-4)],
[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^2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/4*(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],
[q^4*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, q-1],
[q^6*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, q-1],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)^3],
[q^5*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-1],
[q^7*Phi1*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 1/2*q-1/2],
[q^6*Phi3^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q*(q-1)],
[q^3*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)*(2*q-5)],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q-2)*(q-1)^3],
[q^4*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, q-1],
[q^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q-3)],
[q^2*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)],
[q^2*Phi1^2*Phi2^4*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q+2)*(q-1)],
[Phi1^2*Phi2^4*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q^3+2*q^2-2)],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*q^2*(q-1)],
[q^20*Phi4*Phi8*Phi10*Phi12, 1],
[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^3*(q-1)],
[q^4*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)^2],
[q^10*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1],
[q^12*Phi3*Phi4*Phi6^2*Phi8*Phi12*Phi18, q],
[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-1)^3],
[q^6*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[q^8*Phi3^2*Phi4*Phi6^3*Phi8*Phi12*Phi18, 1],
[q^3*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q*(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-1/2],
[q*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*q*(q-1)*(q-3)],
[q^2*Phi1*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)^2],
[Phi1*Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q^3-q^2-3*q+1)],
[q^5*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1],
[q^3*Phi2^3*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-q-5/2],
[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, 1/2*q-3/2],
[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*(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, 1/2*q-5/2],
[q*Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*q^3-3/2*q^2+3/4*q+11/2],
[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, 1/12*q^2-2/3*q+19/12],
[Phi2^4*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*q^4-11/48*q^3+31/48*q^2+19/48*q-17/6],
[q*Phi1^4*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/72*(q-1)*(q-3)*(q^2-7*q+9)],
[Phi1^3*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/720*(q-1)*(q-7)*(q-3)*(q^2-9*q+15)],
[q^2*Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q-3)^2],
[q^3*Phi1^2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q-3)*(q-1)^2],
[q*Phi1^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/24*(q-1)*(q-6)*(q-3)^2],
[q^4*Phi1^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q-3)],
[q^6*Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, 1/2*(q-1)^2],
[q*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/12*(q-1)*(q-3)*(q^2-q+1)],
[q^3*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)*(q-3)],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*(q-1)*(q^2-q+1)*(q-3)^2],
[q^4*Phi1*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)*(q-2)],
[q^2*Phi1*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q-3)*(q-4)],
[q*Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/18*q^2*(q-1)^2],
[Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/18*q^3*(q-1)^2],
[q^10*Phi1*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[q^5*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, q-1],
[q^7*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, q-1],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)^3],
[q^6*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)*(q-2)],
[q^3*Phi1*Phi2*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)^3],
[q^4*Phi1*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, (q-1)*(q-3)],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-2)*(q-1)^3],
[q^7*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)],
[q^5*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[q^3*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q-3)],
[q^2*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*q^2*(q-1)],
[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^4*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)^2],
[q^6*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi12*Phi18, 1/2*(q-1)^2],
[q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/24*(q-1)*(11*q^3-6*q^2-6*q+3)],
[q^10*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, q-1],
[q^13*Phi3^2*Phi6^2*Phi10*Phi12*Phi18, q],
[q^11*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1],
[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, 1/2*q-1/2],
[q^3*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)^3],
[q^7*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, q-1],
[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*(q-3)],
[q^2*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*q*(q-1)*(q-3)],
[q^4*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/3*q*(q-1)],
[q*Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^25*Phi8*Phi18, 1],
[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^2*(q-1)],
[Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q^2*(q-1)*(q-2)*(q+1)],
[q^15*Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 1],
[q^10*Phi2*Phi3*Phi4*Phi6*Phi8*Phi10*Phi12*Phi18, 1/2*q-3/2],
[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*(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*(q-1)*(q^2-q-3)],
[q^7*Phi1^2*Phi2^4*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/3*q*(q-1)],
[q*Phi1^2*Phi2^6*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q^3+q^2+q+2)],
[Phi1^3*Phi2^4*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/18*q*(q-1)*(q^3-q^2-3)],
[q^3*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*q*(q-1)],
[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+1)],
[q*Phi1*Phi2^5*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)*(q+1)*(q^2-q-1)],
[q^7*Phi2^4*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 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, 1/2*q-5/2],
[q^3*Phi2^4*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-q-5/2],
[q^2*Phi2^3*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/4*q^3-3/2*q^2+3/4*q+11/2],
[q*Phi2^4*Phi3*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/12*q^4-1/4*q^3-1/2*q^2+13/12*q+19/12],
[Phi2^3*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*(q-5)*(q^4-3*q^3-8*q^2+17*q+29)],
[Phi1^4*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/51840*(q-1)*(q-3)*(q-7)*(q-9)*(q^2-10*q+15)],
[q*Phi1^3*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/720*(q-1)*(q-7)*(q-3)*(q^2-9*q+15)],
[q^3*Phi1^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/72*(q-1)*(q-3)*(q^2-7*q+9)],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/1440*(q-1)*(q-3)*(q^4-8*q^3+20*q^2-16*q+15)],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*(q-1)*(q-6)*(q-3)^2],
[Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/216*q^3*(q-1)^3],
[q^6*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/8*(q-3)*(q-1)^2],
[q^4*Phi1^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q-3)^2],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*(q-1)*(q^2-q+1)*(q-3)^2],
[q^3*Phi1*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/12*(q-1)*(q-3)*(q-4)],
[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^3*(q-1)^2],
[q^10*Phi1^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, 1/2*(q-1)^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*(q-1)],
[q^6*Phi1^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/12*(q-1)*(q-3)],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/12*(q-1)*(q-3)*(q^2-q+1)],
[q^7*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)*(q-2)],
[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-1)*(q-3)],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/8*(q-2)*(q-1)^3],
[q^4*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/24*(q-1)*(q-3)],
[Phi1^4*Phi2^6*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/72*(q+2)*(q-1)*(q^4+q-4)],
[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, 1/6*(q+2)*(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-1)*(q^3+2*q^2-2)],
[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^2*(q-1)^2],
[Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/36*q^2*(q+1)*(q-2)*(q-1)^2],
[q^15*Phi1*Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 1/2*q-1/2],
[q^20*Phi3*Phi6^2*Phi12*Phi18, q],
[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+2)*(q-1)*(q^4-3*q^2-2*q+2)],
[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^3*(q-1)],
[q^11*Phi1*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, q-1],
[q^6*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/4*(q-1)^3],
[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, 1/2*q-1/2],
[q^4*Phi1*Phi2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*(q-1)^3],
[q^8*Phi3^2*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/2*q-1/2],
[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*(q-1)*(q-3)],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/108*q*(q^3-q^2-9)*(q-1)^2],
[q^3*Phi1^3*Phi2^4*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)^2],
[Phi1^3*Phi2^5*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/12*q*(q-1)*(q^4+q^2-q+1)],
[Phi1^4*Phi2^6*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12, 1/9*q^3*(q-1)*(q^2+q+1)],
[q^3*Phi1^2*Phi2^5*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*(q-1)*(q^3+q^2+q+2)],
[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, 1],
[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, 1/4*(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^9*Phi2^3*Phi4*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1],
[q^4*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*q^2*(q-1)],
[q*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/6*q^2*(q-1)*(q-2)*(q+1)],
[q^10*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi12*Phi18, 1/2*(q-1)^2],
[q^16*Phi3*Phi4*Phi6*Phi8*Phi12*Phi18, 1],
[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^2-3*q+1)],
[q^5*Phi2^3*Phi3*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/2*q^2-q-5/2],
[q^6*Phi1*Phi2*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/4*(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*(q-3)],
[Phi1*Phi2^3*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/96*(q-1)*(q-3)*(q^4-8*q^2-4*q+7)],
[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^4-1/4*q^3-1/2*q^2+13/12*q+19/12],
[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*(q-1)*(q^3-q^2-3)],
[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*(q-1)],
[q^4*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/3*q*(q-1)],
[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+1)],
[q^6*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)],
[q^3*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)*(q-2)*(q+1)],
[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, 1/2*q-3/2],
[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, 1/2*q-5/2],
[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^3-3/2*q^2+3/4*q+11/2],
[q*Phi2^3*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*(q-5)*(q^4-3*q^3-8*q^2+17*q+29)],
[q^3*Phi1^3*Phi2^4*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/18*q*(q-1)*(q^2-q-3)],
[Phi1^3*Phi2^5*Phi3^2*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/36*q*(q-1)*(q^4-2*q^3-q^2-q+9)],
[q^3*Phi1^2*Phi2^5*Phi3*Phi4^2*Phi6*Phi8*Phi10*Phi12*Phi18, 1/6*q*(q-1)*(q-3)],
[Phi1^2*Phi2^6*Phi3*Phi4^2*Phi6^2*Phi8*Phi10*Phi12*Phi18, 1/36*(q-1)*(q^5-4*q^4+3*q^3-5*q^2+13*q+4)],
[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, 1/12*q^2-2/3*q+19/12],
[q^2*Phi2^4*Phi3^2*Phi4*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/48*q^4-11/48*q^3+31/48*q^2+19/48*q-17/6],
[Phi2^4*Phi3^2*Phi4^2*Phi6^3*Phi8*Phi10*Phi12*Phi18, 1/1152*q^6-7/576*q^5+49/1152*q^4+19/288*q^3-61/128*q^2+11/192*q+1523/1152],
[Phi1^4*Phi2^6*Phi3^2*Phi4^2*Phi8*Phi10*Phi12*Phi18, 1/648*q*(q-1)*(q-3)*(q+2)*(q^2-q-3)]
];