DegreesAndMultiplicitiesD5sc_1mod4 := [
[1, 1],
[q*Phi5*Phi6, 1],
[1/2*Phi1^2*Phi4*Phi5, 2],
[1/2*Phi5*Phi8, 2],
[Phi1^2*Phi4*Phi5, 1/2*q-1/2],
[q^2*Phi4*Phi8, 1],
[Phi5*Phi8, 1/2*q-3/2],
[q^2*Phi5*Phi8, 1],
[Phi2^2*Phi4*Phi6*Phi8, q-2],
[1/2*Phi1^2*Phi3*Phi5*Phi8, 2],
[1/2*Phi4*Phi5*Phi6*Phi8, 2],
[1/2*q^3*Phi1^4*Phi3*Phi5, 1],
[1/2*q*Phi1^2*Phi4*Phi5*Phi8, 2],
[1/2*q^3*Phi5*Phi6*Phi8, 1],
[1/2*q^3*Phi4^2*Phi5*Phi6, 1],
[1/2*q*Phi4^2*Phi5*Phi8, 2],
[1/2*q^3*Phi3*Phi5*Phi8, 1],
[q*Phi1^2*Phi4*Phi5*Phi8, 1/2*q-1/2],
[Phi1*Phi4*Phi5*Phi6*Phi8, 1/2*q-1/2],
[q*Phi4*Phi5*Phi6*Phi8, 1],
[Phi2*Phi4*Phi5*Phi6*Phi8, 1/2*q-3/2],
[q*Phi4^2*Phi5*Phi8, 1/2*q-3/2],
[1/2*Phi1^2*Phi4*Phi5*Phi6*Phi8, q-1],
[1/2*q^2*Phi1^2*Phi3*Phi4*Phi5*Phi6, 2],
[1/2*q^2*Phi1^2*Phi3*Phi5*Phi8, 2],
[1/2*Phi1^2*Phi3*Phi4*Phi5*Phi8, 2*q-4],
[1/2*q^2*Phi4*Phi5*Phi6*Phi8, 2],
[1/2*q^2*Phi3*Phi5*Phi6*Phi8, 2],
[1/2*Phi2^2*Phi4*Phi5*Phi6*Phi8, q-3],
[Phi1^2*Phi4*Phi5*Phi6*Phi8, 1/8*(q-1)*(q-3)],
[q^2*Phi1^2*Phi3*Phi4*Phi5*Phi6, 1/2*q-1/2],
[q*Phi1*Phi4*Phi5*Phi6*Phi8, 1/2*q-1/2],
[Phi1^3*Phi2*Phi3*Phi5*Phi8, 1/4*(q-1)*(q+1)],
[Phi1^2*Phi3*Phi4*Phi5*Phi8, 3/4*(q-1)^2],
[q^6*Phi3*Phi6*Phi8, 1],
[Phi1*Phi2*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)^2],
[q^4*Phi4*Phi5*Phi8, 1],
[q^2*Phi3*Phi5*Phi6*Phi8, 3/2*q-7/2],
[q*Phi2*Phi4*Phi5*Phi6*Phi8, 1/2*q-3/2],
[q*Phi2^3*Phi4^2*Phi6*Phi8, q-2],
[Phi2^2*Phi4*Phi5*Phi6*Phi8, 1/8*(5*q-13)*(q-3)],
[1/2*q*Phi1^2*Phi3*Phi5*Phi6*Phi8, 2],
[1/2*q*Phi3*Phi4*Phi5*Phi6*Phi8, 2],
[Phi1^3*Phi3*Phi4*Phi5*Phi8, 1/2*q-1/2],
[q^5*Phi5*Phi6*Phi8, 1],
[Phi2*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-3/2],
[1/4*Phi1^4*Phi2^2*Phi3*Phi4*Phi5*Phi6, 8],
[1/4*Phi1^2*Phi2^2*Phi3*Phi5*Phi6*Phi8, 4],
[1/4*Phi3*Phi4^2*Phi5*Phi6*Phi8, 4],
[1/2*Phi1^4*Phi2^2*Phi3*Phi4*Phi5*Phi6, q-1],
[1/2*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8, q-1],
[1/2*q^2*Phi1^2*Phi3*Phi4*Phi5*Phi8, 2],
[1/2*q^2*Phi4^2*Phi5*Phi6*Phi8, 2],
[1/2*Phi1^2*Phi2^2*Phi3*Phi5*Phi6*Phi8, 3/2*q-7/2],
[1/2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-5/2],
[q*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8, 1/2*q-1/2],
[Phi1*Phi2*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-1)^2],
[q^6*Phi4*Phi5*Phi8, 1],
[q^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1],
[q*Phi2*Phi4^2*Phi5*Phi6*Phi8, q-3],
[q^2*Phi2^2*Phi4*Phi5*Phi6*Phi8, q-2],
[q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/2*q-3/2],
[Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-3)^2],
[1/4*q^3*Phi1^4*Phi3*Phi5*Phi8, 2],
[1/4*q^3*Phi1^2*Phi4*Phi5*Phi6*Phi8, 4],
[1/4*Phi1^4*Phi2*Phi3*Phi4*Phi5*Phi8, 8],
[1/4*Phi1^2*Phi2*Phi4^2*Phi5*Phi6*Phi8, 4],
[1/4*q^3*Phi1^2*Phi3*Phi4*Phi5*Phi8, 4],
[1/4*q^3*Phi4^2*Phi5*Phi6*Phi8, 2],
[1/4*q^3*Phi3*Phi4^2*Phi5*Phi8, 2],
[1/4*Phi2^3*Phi4^2*Phi5*Phi6*Phi8, 4],
[1/4*q^3*Phi2^4*Phi5*Phi6*Phi8, 2],
[1/2*q^7*Phi1^4*Phi3*Phi5, 1],
[1/2*q^3*Phi1^4*Phi3*Phi5*Phi8, 1/2*q-3/2],
[1/2*Phi1^3*Phi3*Phi4*Phi5*Phi6*Phi8, q-1],
[1/2*q^3*Phi1^2*Phi4*Phi5*Phi6*Phi8, q-1],
[1/2*Phi1^4*Phi2*Phi3*Phi4*Phi5*Phi8, q-1],
[1/2*q^3*Phi1^2*Phi3*Phi5*Phi6*Phi8, 4],
[1/2*Phi1^3*Phi3*Phi4^2*Phi5*Phi8, q-1],
[1/2*q*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8, 3*q-5],
[1/2*Phi1^2*Phi2*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-5/2],
[1/2*q^3*Phi1^2*Phi3*Phi4*Phi5*Phi8, q-1],
[1/2*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, q-3],
[1/2*q^7*Phi5*Phi6*Phi8, 1],
[1/2*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8, q-1],
[1/2*q^7*Phi4^2*Phi5*Phi6, 1],
[1/2*q^3*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-3/2],
[1/2*Phi1*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, q-1],
[1/2*q^3*Phi3*Phi4*Phi5*Phi6*Phi8, 4],
[1/2*q^7*Phi3*Phi5*Phi8, 1],
[1/2*q^3*Phi3*Phi4^2*Phi5*Phi8, 1/2*q-3/2],
[1/2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, q-3],
[1/2*q*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, q-3],
[1/2*Phi2^3*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-5/2],
[1/2*q^3*Phi2^4*Phi5*Phi6*Phi8, 1/2*q-3/2],
[q*Phi1^4*Phi3*Phi4*Phi5*Phi8, 1/2*q-1/2],
[Phi1^3*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)*(q-3)],
[Phi1^4*Phi2*Phi3*Phi4*Phi5*Phi8, 1/4*q*(q-1)*(q+1)],
[q*Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi8, 1/4*(q-1)*(q+1)],
[q^2*Phi1^3*Phi3*Phi4*Phi5*Phi8, 1/2*q-1/2],
[Phi1^3*Phi3*Phi4^2*Phi5*Phi8, 1/4*(q-1)*(q-2)*(q+1)],
[q*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/8*(7*q-5)*(q-1)],
[Phi1^2*Phi2*Phi4^2*Phi5*Phi6*Phi8, 1/8*(q-1)*(q-2)*(q+1)],
[q^2*Phi1*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-1/2],
[Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)*(q-3)],
[q^2*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8, 1/2*q-1/2],
[q*Phi1*Phi2*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-1)^2],
[Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/4*(q-1)*(q-3)],
[q^3*Phi4^2*Phi5*Phi6*Phi8, 1],
[q*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)^2],
[Phi1*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/4*q*(q-1)*(q-3)],
[q^2*Phi2*Phi4^2*Phi5*Phi6*Phi8, q-3],
[q*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-3/2],
[q^3*Phi2^2*Phi3*Phi4^2*Phi6*Phi8, q-2],
[q^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/2*q-3/2],
[q*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-2)*(q-3)],
[Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/4*(q-3)*(q-5)],
[q*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/8*(5*q-13)*(q-3)],
[Phi2^3*Phi4^2*Phi5*Phi6*Phi8, 1/8*(q-5)*(q-2)*(q-3)],
[1/2*Phi1^4*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)*(q-3)],
[1/2*q*Phi1^3*Phi3*Phi4*Phi5*Phi6*Phi8, q-1],
[1/2*q^2*Phi1^2*Phi4^2*Phi5*Phi6*Phi8, q-1],
[1/2*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, q*(q-1)],
[1/2*q^6*Phi1^2*Phi3*Phi4*Phi5*Phi6, 2],
[1/2*q^2*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8, 2*q-2],
[1/2*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 3/4*(q-1)*(q-3)],
[1/2*q^6*Phi1^2*Phi3*Phi5*Phi8, 2],
[1/2*q^4*Phi1^2*Phi3*Phi4*Phi5*Phi8, 2],
[1/2*q*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, q-3],
[1/2*q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi8, 2*q-4],
[1/2*q^6*Phi4*Phi5*Phi6*Phi8, 2],
[1/2*q*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8, q-1],
[1/2*q^4*Phi4^2*Phi5*Phi6*Phi8, 2],
[1/2*Phi1^3*Phi2^3*Phi3*Phi5*Phi6*Phi8, 1/2*(q-1)*(q+1)],
[1/2*q^2*Phi1^2*Phi2^2*Phi3*Phi5*Phi6*Phi8, q-3],
[1/2*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(3*q-7)*(q-3)],
[1/2*q^6*Phi3*Phi5*Phi6*Phi8, 2],
[1/2*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-1)^2],
[1/2*q^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, q-3],
[1/2*q^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, q-3],
[1/2*q*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, q-3],
[1/2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/4*(q-3)*(q-5)],
[Phi1^4*Phi3*Phi4*Phi5*Phi6*Phi8, 1/48*(q-5)*(q-1)*(q-3)],
[q*Phi1^3*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)*(q-3)],
[q^2*Phi1^2*Phi4^2*Phi5*Phi6*Phi8, 1/8*(q-1)*(q-3)],
[q^3*Phi1^3*Phi3*Phi4*Phi5*Phi8, 1/2*q-1/2],
[Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*q*(q-1)^2],
[q^6*Phi1^2*Phi3*Phi4*Phi5*Phi6, 1/2*q-1/2],
[Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/16*(q-1)*(3*q^2-10*q+11)],
[q^3*Phi1*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-1/2],
[Phi1^4*Phi2^2*Phi3*Phi4*Phi5*Phi8, 1/6*q*(q-1)*(q+1)],
[q^2*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi8, 1/4*(q-1)*(q+1)],
[q*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)*(q-3)],
[q^12*Phi4*Phi8, 1],
[Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/6*q*(q-1)*(q+1)],
[q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi8, 3/4*(q-1)^2],
[q^3*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8, 1/2*q-1/2],
[q^2*Phi1*Phi2*Phi4^2*Phi5*Phi6*Phi8, 1/4*(q-1)^2],
[q*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/4*(q-1)*(3*q-7)],
[Phi1^3*Phi2^3*Phi3*Phi5*Phi6*Phi8, 1/8*(3*q-5)*(q-1)*(q+1)],
[q^2*Phi1^2*Phi2^2*Phi3*Phi5*Phi6*Phi8, 1/2*q-1/2],
[Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/16*(5*q-11)*(q-1)^2],
[q^10*Phi5*Phi8, 1],
[q^6*Phi3*Phi5*Phi6*Phi8, 3/2*q-7/2],
[q*Phi1*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-1)^2],
[Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 3/8*(q-3)*(q-1)^2],
[q^4*Phi3*Phi4*Phi5*Phi6*Phi8, 1],
[q^3*Phi2*Phi4^2*Phi5*Phi6*Phi8, q-3],
[q^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-3/2],
[q^4*Phi2^2*Phi4*Phi5*Phi6*Phi8, q-2],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/2*q-3/2],
[q^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 5/8*(q-1)*(q-3)],
[q*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/4*(q-3)*(3*q-13)],
[q*Phi2^3*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-3)^2],
[Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/48*(7*q-25)*(q-3)*(q-5)],
[1/4*q*Phi1^5*Phi2*Phi3*Phi4*Phi5*Phi8, 8],
[1/4*q*Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 4],
[1/4*q*Phi2^4*Phi4^2*Phi5*Phi6*Phi8, 4],
[1/2*q*Phi1^5*Phi2*Phi3*Phi4*Phi5*Phi8, q-1],
[1/2*Phi1^4*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/2*(q-1)*(q+1)],
[1/2*q*Phi1^4*Phi3*Phi4^2*Phi5*Phi8, q-1],
[1/2*q^2*Phi1^3*Phi3*Phi4*Phi5*Phi6*Phi8, q-1],
[1/2*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi8, 3/4*(q-1)*(q-3)],
[1/2*q^7*Phi1^2*Phi4*Phi5*Phi8, 2],
[1/2*q^5*Phi1^2*Phi3*Phi5*Phi6*Phi8, 2],
[1/2*q^3*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8, 3*q-5],
[1/2*Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/2*(q-1)*(q+1)],
[1/2*q^2*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, q-3],
[1/2*q*Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-5/2],
[1/2*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 5/4*q^2-4*q+19/4],
[1/2*q^2*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8, q-1],
[1/2*q^7*Phi4^2*Phi5*Phi8, 2],
[1/2*q^5*Phi3*Phi4*Phi5*Phi6*Phi8, 2],
[1/2*q*Phi1*Phi2^3*Phi4^2*Phi5*Phi6*Phi8, q-1],
[1/2*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 3/4*(q-1)*(q-3)],
[1/2*q^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, q-3],
[1/2*q^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, q-3],
[1/2*q*Phi2^4*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-5/2],
[1/2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/4*(q-3)*(q-5)],
[q*Phi1^5*Phi2*Phi3*Phi4*Phi5*Phi8, 1/4*q*(q-1)*(q+1)],
[q^3*Phi1^4*Phi3*Phi4*Phi5*Phi8, 1/2*q-1/2],
[Phi1^4*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/8*q*(q+1)*(q-1)^2],
[q*Phi1^4*Phi3*Phi4^2*Phi5*Phi8, 1/4*(q-1)*(q-2)*(q+1)],
[q^2*Phi1^3*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)*(q-3)],
[Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/16*(q-1)*(q-3)*(q^2-q-4)],
[q^3*Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi8, 1/4*(q-1)*(q+1)],
[q*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*q*(q-1)*(q+1)],
[q^7*Phi1^2*Phi4*Phi5*Phi8, 1/2*q-1/2],
[Phi1^3*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/6*q^2*(q-1)*(q+1)],
[q^3*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/8*(7*q-5)*(q-1)],
[q^6*Phi1*Phi4*Phi5*Phi6*Phi8, 1/2*q-1/2],
[q*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/8*(q-1)*(q-2)*(3*q-1)],
[Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/8*(q-1)*(q-2)*(q+1)^2],
[q^2*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)*(q-3)],
[q*Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/24*(q-1)*(11*q-6)*(q+1)],
[q^13*Phi5*Phi6, 1],
[Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/16*(q-1)*(3*q^3-8*q^2-5*q+14)],
[q^4*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8, 1/2*q-1/2],
[q^3*Phi1*Phi2*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-1)^2],
[q^7*Phi4*Phi5*Phi6*Phi8, 1],
[q^2*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/4*(q-1)*(3*q-7)],
[Phi1^2*Phi2^3*Phi4^2*Phi5*Phi6*Phi8, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^3*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)^2],
[q^2*Phi1*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-1)^2],
[q^6*Phi2*Phi4*Phi5*Phi6*Phi8, 1/2*q-3/2],
[q*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/4*(3*q-8)*(q-1)^2],
[q^7*Phi4^2*Phi5*Phi8, 1/2*q-3/2],
[q^4*Phi2*Phi4^2*Phi5*Phi6*Phi8, q-3],
[q^3*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-3/2],
[q*Phi1*Phi2^3*Phi4^2*Phi5*Phi6*Phi8, 1/4*q*(q-1)*(q-3)],
[q^6*Phi2^3*Phi4^2*Phi6*Phi8, q-2],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/48*q*(q-1)*(q-3)*(7*q-23)],
[q^4*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/2*q-3/2],
[q^3*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-2)*(q-3)],
[q^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/4*(q-3)*(3*q-13)],
[q^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/8*(5*q-13)*(q-3)],
[q^2*Phi2^3*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-3)^2],
[q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/24*(q-5)*(7*q-22)*(q-3)],
[q*Phi2^4*Phi4^2*Phi5*Phi6*Phi8, 1/8*(q-5)*(q-2)*(q-3)],
[Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/48*(q-2)*(q-3)*(q-5)*(q-7)],
[1/4*Phi1^5*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 2*q-2],
[1/4*Phi1^4*Phi3*Phi4^2*Phi5*Phi6*Phi8, q-1],
[1/4*q^3*Phi1^4*Phi2*Phi3*Phi4*Phi5*Phi8, 8],
[1/4*q^4*Phi1^4*Phi2^2*Phi3*Phi4*Phi5*Phi6, 8],
[1/4*Phi1^4*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, 4*q-12],
[1/4*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 2*q-2],
[1/4*q^3*Phi1^2*Phi2*Phi4^2*Phi5*Phi6*Phi8, 4],
[1/4*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi8, 2*q-2],
[1/4*q^4*Phi1^2*Phi2^2*Phi3*Phi5*Phi6*Phi8, 4],
[1/4*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 2*q-6],
[1/4*q^4*Phi3*Phi4^2*Phi5*Phi6*Phi8, 4],
[1/4*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8, 2*q-2],
[1/4*q^3*Phi2^3*Phi4^2*Phi5*Phi6*Phi8, 4],
[1/4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6*Phi8, q-5],
[1/2*Phi1^5*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/12*(q-1)*(2*q^2-q-9)],
[1/2*q^2*Phi1^4*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)*(q-3)],
[1/2*Phi1^4*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/48*(q-1)*(5*q-9)*(q-5)],
[1/2*q*Phi1^4*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/2*(q-1)*(q+1)],
[1/2*Phi1^4*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/6*q*(q-1)*(q+1)],
[1/2*q^3*Phi1^3*Phi3*Phi4*Phi5*Phi6*Phi8, q-1],
[1/2*q^6*Phi1^2*Phi4*Phi5*Phi6*Phi8, q-1],
[1/2*q*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi8, 3/4*(q-1)*(q-3)],
[1/2*q^3*Phi1^4*Phi2*Phi3*Phi4*Phi5*Phi8, q-1],
[1/2*q^4*Phi1^4*Phi2^2*Phi3*Phi4*Phi5*Phi6, q-1],
[1/2*Phi1^4*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/2*(q-1)*(q^2+q-4)],
[1/2*q^12*Phi1^2*Phi4*Phi5, 2],
[1/2*q^2*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, q*(q-1)],
[1/2*q^3*Phi1^3*Phi3*Phi4^2*Phi5*Phi8, q-1],
[1/2*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/2*q*(q-1)*(q-2)],
[1/2*q^4*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi8, q-1],
[1/2*q^3*Phi1^2*Phi2*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-5/2],
[1/2*q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 3/4*(q-1)*(q-3)],
[1/2*Phi1^5*Phi2^3*Phi3*Phi4*Phi5*Phi8, 1/3*q*(q-1)*(q+1)],
[1/2*Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi8, 1/3*q*(q-1)*(q+1)],
[1/2*q^8*Phi1^2*Phi3*Phi5*Phi8, 2],
[1/2*q*Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/2*(q-1)*(q+1)],
[1/2*Phi1^3*Phi2^3*Phi4^2*Phi5*Phi6*Phi8, 1/3*q*(q-1)*(q+1)],
[1/2*q^6*Phi1^2*Phi3*Phi4*Phi5*Phi8, 2*q-4],
[1/2*q^3*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, q-3],
[1/2*q*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 5/4*q^2-4*q+19/4],
[1/2*q^8*Phi4*Phi5*Phi6*Phi8, 2],
[1/2*q^3*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8, q-1],
[1/2*Phi1^4*Phi2^4*Phi3*Phi5*Phi6*Phi8, 1/4*(q+1)*(q-1)^2],
[1/2*q^2*Phi1^3*Phi2^3*Phi3*Phi5*Phi6*Phi8, 1/2*(q-1)*(q+1)],
[1/2*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)*(2*q^2-3*q-7)],
[1/2*q^4*Phi1^2*Phi2^2*Phi3*Phi5*Phi6*Phi8, 3/2*q-7/2],
[1/2*q^2*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(3*q-7)*(q-3)],
[1/2*q^12*Phi5*Phi8, 2],
[1/2*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/24*(q-1)*(q-3)*(11*q-19)],
[1/2*q^3*Phi1*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, q-1],
[1/2*q^2*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-1)^2],
[1/2*q^4*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-5/2],
[1/2*Phi1^2*Phi2^4*Phi4^2*Phi5*Phi6*Phi8, 1/6*q*(q-1)*(q+1)],
[1/2*q^6*Phi2^2*Phi4*Phi5*Phi6*Phi8, q-3],
[1/2*q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 3/4*(q-1)*(q-3)],
[1/2*q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, q-3],
[1/2*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/6*(q-1)*(q^2-5*q+3)],
[1/2*q^3*Phi2^3*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-5/2],
[1/2*q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/4*(q-3)*(q-5)],
[1/2*q*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/4*(q-3)*(q-5)],
[1/2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/48*(q-5)*(q-1)*(q-9)],
[Phi1^5*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/96*(q-3)*(q-1)^2*(q+1)^2],
[q^2*Phi1^4*Phi3*Phi4*Phi5*Phi6*Phi8, 1/48*(q-5)*(q-1)*(q-3)],
[Phi1^4*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/384*(q-5)*(q-1)*(q+3)*(q-3)^2],
[q*Phi1^4*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/8*q*(q+1)*(q-1)^2],
[Phi1^4*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/24*q*(q-1)^2*(q+1)^2],
[q^3*Phi1^3*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)*(q-3)],
[q^6*Phi1^2*Phi4*Phi5*Phi6*Phi8, 1/8*(q-1)*(q-3)],
[q*Phi1^3*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/16*(q-1)*(q-3)*(q^2-q-4)],
[q^3*Phi1^4*Phi2*Phi3*Phi4*Phi5*Phi8, 1/4*q*(q-1)*(q+1)],
[Phi1^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi6, 1/8*(q-1)*(q^2+1)*(q+1)^2],
[Phi1^4*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/16*(q-1)*(q^2-2*q-1)*(q+1)^2],
[q^5*Phi1^3*Phi3*Phi4*Phi5*Phi8, 1/2*q-1/2],
[q^12*Phi1^2*Phi4*Phi5, 1/2*q-1/2],
[q^2*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*q*(q-1)^2],
[q*Phi1^3*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/6*q^2*(q-1)*(q+1)],
[q^3*Phi1^3*Phi3*Phi4^2*Phi5*Phi8, 1/4*(q-1)*(q-2)*(q+1)],
[Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/32*(q-3)*(q^2+2*q-1)*(q-1)^2],
[q^3*Phi1^2*Phi2*Phi4^2*Phi5*Phi6*Phi8, 1/8*(q-1)*(q-2)*(q+1)],
[q^7*Phi1*Phi4*Phi5*Phi6*Phi8, 1/2*q-1/2],
[q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/16*(q-1)*(3*q^2-10*q+11)],
[Phi1^5*Phi2^3*Phi3*Phi4*Phi5*Phi8, 1/12*q*(q-1)^2*(q+1)^2],
[q^2*Phi1^4*Phi2^2*Phi3*Phi4*Phi5*Phi8, 1/6*q*(q-1)*(q+1)],
[q^6*Phi1^3*Phi2*Phi3*Phi5*Phi8, 1/4*(q-1)*(q+1)],
[Phi1^4*Phi2^4*Phi3*Phi4^2*Phi6*Phi8, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi8, 1/12*q*(q-1)*(q+1)*(q^2-3)],
[q*Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/8*(q-1)*(q-2)*(q+1)^2],
[q^20, 1],
[Phi1^3*Phi2^3*Phi4^2*Phi5*Phi6*Phi8, 1/12*q*(q-1)*(q+1)*(q^2-2*q-1)],
[q^6*Phi1^2*Phi3*Phi4*Phi5*Phi8, 3/4*(q-1)^2],
[q^3*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)*(q-3)],
[q^2*Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/6*q*(q-1)*(q+1)],
[q^6*Phi1*Phi2*Phi4*Phi5*Phi6*Phi8, 1/4*(q-1)^2],
[q*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/16*(q-1)*(3*q^3-8*q^2-5*q+14)],
[q^4*Phi1*Phi2*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-1)^2],
[q^3*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/4*(q-1)*(q-3)],
[Phi1^4*Phi2^4*Phi3*Phi5*Phi6*Phi8, 1/32*(q+1)*(q^2-5)*(q-1)^2],
[q^2*Phi1^3*Phi2^3*Phi3*Phi5*Phi6*Phi8, 1/8*(3*q-5)*(q-1)*(q+1)],
[Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi8, 1/32*(q-1)*(q+1)*(5*q^3-7*q^2-9*q+19)],
[q^2*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi8, 1/16*(5*q-11)*(q-1)^2],
[q^12*Phi5*Phi8, 1/2*q-3/2],
[q*Phi1^2*Phi2^3*Phi4^2*Phi5*Phi6*Phi8, 1/6*q*(q-1)*(q-2)*(q+1)],
[q^10*Phi2^2*Phi4*Phi6*Phi8, q-2],
[Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/192*(q-3)*(7*q^2-4*q-47)*(q-1)^2],
[q^3*Phi1*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/4*q*(q-1)*(q-3)],
[q^7*Phi2*Phi4*Phi5*Phi6*Phi8, 1/2*q-3/2],
[q^2*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 3/8*(q-3)*(q-1)^2],
[q^5*Phi2*Phi4^2*Phi5*Phi6*Phi8, 1/2*q-3/2],
[Phi1^2*Phi2^4*Phi4^2*Phi5*Phi6*Phi8, 1/24*q*(q+1)*(q-3)*(q-1)^2],
[q^6*Phi2^2*Phi4*Phi5*Phi6*Phi8, 1/8*(5*q-13)*(q-3)],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/48*q*(q-1)*(q-3)*(7*q-23)],
[q^4*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, 1/2*(q-3)^2],
[q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/4*(q-3)*(q-5)],
[Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/96*(q-5)*(q-1)*(q-3)*(q^2-2*q-1)],
[q^3*Phi2^3*Phi4^2*Phi5*Phi6*Phi8, 1/8*(q-5)*(q-2)*(q-3)],
[q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/48*(7*q-25)*(q-3)*(q-5)],
[q*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/48*(q-2)*(q-3)*(q-5)*(q-7)],
[Phi2^4*Phi3*Phi4^2*Phi5*Phi6*Phi8, 1/1920*(q-5)*(q-1)*(q-7)*(q-3)*(q-9)]
];