DegreesAndMultiplicitiesA7f4_0or2mod4 := [
[1, 1],
[q*Phi7, 1],
[Phi2*Phi4*Phi8, q-2],
[q^2*Phi4*Phi5*Phi8, 1],
[Phi4*Phi7*Phi8, q-2],
[Phi1*Phi4*Phi7*Phi8, 1/2*q*(q-1)],
[q^3*Phi3*Phi6*Phi7, 1],
[q*Phi4*Phi7*Phi8, q-2],
[q*Phi2^2*Phi3*Phi4*Phi6*Phi8, q-2],
[Phi2*Phi4*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^3*Phi4*Phi7*Phi8, 1],
[Phi2*Phi4*Phi6*Phi7*Phi8, q-2],
[Phi1^4*Phi3*Phi5*Phi7, 1/2*q],
[q^4*Phi6*Phi7*Phi8, 1],
[Phi5*Phi6*Phi7*Phi8, 1/2*q-1],
[q^4*Phi2^3*Phi4^2*Phi6*Phi8, 1],
[q*Phi2^2*Phi4*Phi6*Phi7*Phi8, q-2],
[q^2*Phi2*Phi4^2*Phi7*Phi8, q-2],
[q*Phi4*Phi5*Phi7*Phi8, q-2],
[Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[Phi1^2*Phi2^2*Phi4*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q+1)],
[q*Phi1*Phi4*Phi5*Phi7*Phi8, 1/2*q*(q-1)],
[Phi1*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^6*Phi5*Phi6*Phi7, 1],
[q^3*Phi2*Phi4*Phi6*Phi7*Phi8, q-2],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, q-2],
[q^2*Phi4*Phi5*Phi7*Phi8, q-2],
[q*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q*Phi2*Phi4*Phi5*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[Phi2^2*Phi3*Phi4*Phi6*Phi7*Phi8, 1/6*(q-2)*(q-3)*(q-4)],
[q^5*Phi5*Phi7*Phi8, 1],
[q^3*Phi2^2*Phi4*Phi6*Phi7*Phi8, q-2],
[q*Phi3*Phi5*Phi6*Phi7*Phi8, q-2],
[q*Phi2^2*Phi4^2*Phi6*Phi7*Phi8, q-2],
[Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)],
[q^6*Phi4^2*Phi7*Phi8, 1],
[q^2*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[q^2*Phi3^2*Phi4*Phi6*Phi7*Phi8, q-2],
[Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[Phi1^3*Phi3*Phi4*Phi5*Phi7*Phi8, 1/2*q*(q-1)],
[q^7*Phi3*Phi6*Phi7*Phi8, 1],
[q^2*Phi1*Phi3^2*Phi4*Phi6*Phi7*Phi8, 1/2*q*(q-1)],
[Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^3*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[q^7*Phi3^2*Phi5*Phi6*Phi8, 1],
[q^3*Phi3*Phi5*Phi6*Phi7*Phi8, q-2],
[q^2*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[q^3*Phi3^2*Phi4*Phi6*Phi7*Phi8, q-2],
[q^3*Phi4^2*Phi5*Phi7*Phi8, q-2],
[q*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^4*Phi2*Phi4*Phi5*Phi7*Phi8, q-2],
[q^2*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, q-2],
[q*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^2*Phi2*Phi3^2*Phi4*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)*(q-4)],
[q^2*Phi1^4*Phi3^2*Phi5*Phi6*Phi7, 1/2*q],
[Phi1^4*Phi3*Phi4*Phi5*Phi7*Phi8, 1/4*q*(q+1)*(q-2)],
[Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi7*Phi8, 1/4*q^2*(q-1)*(q+1)],
[q*Phi1^3*Phi3*Phi4*Phi5*Phi7*Phi8, 1/2*q*(q-1)],
[q^2*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)],
[Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q-1)*(q-2)*(q+1)],
[q^3*Phi1*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)],
[Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi7*Phi8, 1/4*q*(q-1)*(q-2)],
[q*Phi1^2*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q+1)],
[Phi1^2*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^10*Phi5*Phi6*Phi7, 1],
[q^6*Phi5*Phi6*Phi7*Phi8, q-2],
[q^3*Phi1*Phi4^2*Phi5*Phi7*Phi8, 1/2*q*(q-1)],
[q^8*Phi4^2*Phi7*Phi8, 1],
[q*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[Phi1*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)],
[q^4*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^5*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, q-2],
[q^6*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, q-2],
[q^4*Phi2^2*Phi4^2*Phi6*Phi7*Phi8, q-2],
[q^3*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, 3/2*(q-2)*(q-3)],
[q^4*Phi4^2*Phi5*Phi7*Phi8, q-2],
[q^3*Phi2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q-2],
[q^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/2*q-1],
[q^3*Phi2*Phi4^2*Phi5*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^2*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-3)*(q-2)^2],
[Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-2)*(q-3)*(q-4)],
[q*Phi2^3*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/6*(q-2)*(q-3)*(q-4)],
[Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/24*(q-5)*(q-2)*(q-3)*(q-4)],
[q*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)],
[Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^9*Phi5*Phi7*Phi8, 1],
[q^6*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, q-2],
[q^4*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[q^3*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[q^2*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^4*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, q-2],
[q^3*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[q^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)*(q-4)],
[Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7, 1/4*q^2*(q+1)],
[q^4*Phi1^4*Phi3*Phi5*Phi7*Phi8, 1/2*q],
[Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q+1)*(q-2)],
[Phi1^4*Phi2^2*Phi4^2*Phi5*Phi7*Phi8, 1/3*q*(q-1)*(q+1)],
[q^12*Phi6*Phi7*Phi8, 1],
[q^2*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)],
[q^2*Phi1^2*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q+1)],
[Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q-2)*(q+1)],
[Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)],
[q^6*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[q^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q-1],
[q^4*Phi1*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, 1/2*q*(q-1)],
[q^11*Phi2^3*Phi4^2*Phi6*Phi8, 1],
[q^2*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q*Phi1*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^6*Phi2^2*Phi4^2*Phi6*Phi7*Phi8, q-2],
[q^5*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[q*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)*(q-3)],
[q^6*Phi4^2*Phi5*Phi7*Phi8, q-2],
[q^3*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^7*Phi2*Phi4*Phi5*Phi7*Phi8, q-2],
[q^5*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, q-2],
[q^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, q-2],
[q^4*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q-2],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 2*(q-2)*(q-3)],
[q^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^3*Phi2*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)*(q-4)],
[Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/24*(q-2)*(q-3)*(q-4)],
[q^4*Phi2^4*Phi4^2*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/6*(q-2)*(q-3)*(q+2)],
[q*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)*(q-4)],
[q*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)*(q-4)],
[Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q-5)*(q-2)*(q-3)*(q-4)],
[Phi1^5*Phi2^2*Phi4^2*Phi5*Phi7*Phi8, 1/6*q^2*(q-1)*(q+1)],
[q*Phi1^4*Phi2^2*Phi4^2*Phi5*Phi7*Phi8, 1/3*q*(q-1)*(q+1)],
[Phi1^4*Phi2^3*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[Phi1^3*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q^2*(q+1)*(q-1)^2],
[q^2*Phi1^3*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/2*q*(q-1)],
[Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q+1)],
[q^6*Phi1*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)],
[Phi1^4*Phi2^3*Phi4^2*Phi5*Phi7*Phi8, 1/6*q*(q-1)*(q-2)*(q+1)],
[q*Phi1^3*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/4*q^2*(q-1)*(q+1)],
[Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q^2*(q-1)*(q-2)*(q+1)],
[q^3*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, q*(q-1)],
[q^3*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q+1)],
[q^2*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^15*Phi3*Phi6*Phi7, 1],
[q^13*Phi4*Phi7*Phi8, 1],
[q*Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^10*Phi2*Phi4*Phi6*Phi7*Phi8, q-2],
[q*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q+5)*(q-1)*(q-2)],
[Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q-1)*(q+1)*(q-2)^2],
[q^6*Phi1*Phi4^2*Phi5*Phi7*Phi8, 1/2*q*(q-1)],
[q^3*Phi1*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^7*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[q^2*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/6*q*(2*q+5)*(q-1)*(q-2)],
[Phi1^2*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^9*Phi2^2*Phi4*Phi6*Phi7*Phi8, q-2],
[Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^10*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, q-2],
[q^7*Phi3*Phi5*Phi6*Phi7*Phi8, q-2],
[q^6*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, 3/2*(q-2)*(q-3)],
[q^3*Phi1*Phi2*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^2*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^7*Phi3^2*Phi4*Phi6*Phi7*Phi8, q-2],
[q*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)*(q-3)],
[q^7*Phi4^2*Phi5*Phi7*Phi8, q-2],
[q^6*Phi2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q-2],
[q^5*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[q^4*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*q*(q-1)*(q-2)*(q-3)],
[q^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^5*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[q*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q-3)],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*q*(q-1)*(q-2)*(q-3)*(q-4)],
[q^6*Phi2*Phi4^2*Phi5*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^4*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 2*(q-2)*(q-3)],
[q^3*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-3)*(q-2)^2],
[q^4*Phi2*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)*(q-4)],
[q*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q-2)*(q-3)*(q-4)],
[q^2*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, 1/6*(q-2)*(q-3)*(q-4)],
[q^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)*(q-4)],
[q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q-3)*(q-4)*(q-2)^2],
[Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*(q-5)*(q-2)*(q-3)*(q-4)],
[q*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/24*(q-5)*(q-2)*(q-3)*(q-4)],
[Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/120*(q-5)*(q-6)*(q-2)*(q-3)*(q-4)],
[Phi1^5*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/8*q^3*(q-1)*(q+1)],
[q^6*Phi1^4*Phi3^2*Phi5*Phi6*Phi7, 1/2*q],
[q^2*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q+1)*(q-2)],
[q^2*Phi1^4*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/4*q*(q+1)*(q-2)],
[Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/16*q*(q+1)*(q-2)*(q^2-q-4)],
[Phi1^4*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/6*q^2*(q+1)*(q-1)^2],
[q^2*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q^2*(q-1)*(q+1)],
[q^6*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)],
[q^3*Phi1^3*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/2*q*(q-1)],
[q*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q+1)],
[q^4*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)],
[q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q-1)*(q-2)*(q+1)],
[q^4*Phi1^2*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q+1)],
[q^2*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/4*q*(q-1)*(q-2)],
[Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q+1)*(q-2)*(q-1)^2],
[q^3*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^16*Phi4*Phi5*Phi8, 1],
[q^2*Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^2*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^7*Phi1*Phi3^2*Phi4*Phi6*Phi7*Phi8, 1/2*q*(q-1)],
[q^8*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/16*q*(q-1)*(q+1)*(q-2)^2],
[q^3*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q*Phi1^2*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q-2)*(q+1)],
[q*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q-3)],
[Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^11*Phi2*Phi4^2*Phi7*Phi8, q-2],
[q^4*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^10*Phi4*Phi5*Phi7*Phi8, q-2],
[q^7*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q-2],
[q^3*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^8*Phi3^2*Phi4*Phi6*Phi7*Phi8, q-2],
[q^2*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^6*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^5*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^4*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/48*q*(q-1)*(q-2)*(q-3)*(q-4)],
[q^2*Phi1*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)],
[q^7*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, q-2],
[q^7*Phi2*Phi3^2*Phi4*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^6*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/2*q-1],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)*(q-3)],
[q^6*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^5*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^4*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q-1)*(q-2)*(q-3)*(q-4)],
[q^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)*(q-4)],
[q^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-2)*(q-3)*(q-4)],
[q^4*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/6*(q-2)*(q-3)*(q+2)],
[q^3*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)*(q-4)],
[q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/24*(q+19)*(q-2)*(q-3)*(q-4)],
[q*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-5)*(q-2)*(q-3)*(q-4)],
[q^2*Phi2^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-2)*(q-3)*(q-4)],
[q*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q-5)*(q-2)*(q-3)*(q-4)],
[Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*(q-5)*(q-6)*(q-2)*(q-3)*(q-4)],
[Phi1^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/6*q*(q-1)*(q+1)*(q^3+q-1)],
[q^3*Phi1^4*Phi2^2*Phi4^2*Phi5*Phi7*Phi8, 1/3*q*(q-1)*(q+1)],
[Phi1^4*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/18*q*(q-1)*(q+1)*(q^3-q-3)],
[Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*q^3*(q+1)*(q-1)^2],
[q^6*Phi1^3*Phi3*Phi4*Phi5*Phi7*Phi8, 1/2*q*(q-1)],
[q^2*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q+1)],
[Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*q*(q-1)*(q-2)*(q+1)*(q^2-q-4)],
[q*Phi1^4*Phi2^4*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, 1/5*q*(q-1)*(q-2)*(q+1)*(q^2+1)],
[q^3*Phi1^3*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/4*q^2*(q-1)*(q+1)],
[q^21*Phi7, 1],
[q*Phi1^3*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q^2*(q+1)*(q-1)^2],
[q^6*Phi1^2*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q+1)],
[q*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q^2*(q-1)*(q-2)*(q+1)],
[q^5*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)],
[Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q^2*(q+1)*(q-2)*(q-1)^2],
[q^10*Phi1*Phi4*Phi5*Phi7*Phi8, 1/2*q*(q-1)],
[q^15*Phi4*Phi7*Phi8, q-2],
[q^3*Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^3*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q+5)*(q-1)*(q-2)],
[q^6*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q-1)*(q+1)*(q-2)^2],
[q*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q^2*(q-1)*(q-2)*(q+1)],
[Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*q^2*(q-1)*(q-2)*(q-3)*(q+1)],
[q^3*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/6*q*(2*q+5)*(q-1)*(q-2)],
[q^15*Phi2^2*Phi3*Phi4*Phi6*Phi8, q-2],
[q^2*Phi1^2*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^11*Phi2^2*Phi4*Phi6*Phi7*Phi8, q-2],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q-3)],
[q*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/24*q*(11*q-30)*(q-1)*(q-2)*(q+1)],
[q^6*Phi1*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^11*Phi4*Phi5*Phi7*Phi8, q-2],
[q^10*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^9*Phi3*Phi5*Phi6*Phi7*Phi8, q-2],
[q^4*Phi1*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^9*Phi2^2*Phi4^2*Phi6*Phi7*Phi8, q-2],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/16*q*(q-1)*(q-3)*(q+1)*(q-2)^2],
[q^4*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^3*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)*(q-3)],
[q^7*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^6*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^2*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q-3)],
[q*Phi1^2*Phi2^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q*(q-1)*(q-2)*(q-3)*(q+1)],
[Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/18*q*(q-1)*(q-2)*(q-3)*(q-4)*(q+1)],
[q^10*Phi2*Phi4*Phi5*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^7*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^3*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^2*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)*(q-3)],
[q^7*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^6*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-3)*(q-2)^2],
[q^5*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q-3)*(q-4)],
[q^5*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)*(q-4)],
[q^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q-2)*(q-3)*(q-4)],
[q*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*q*(q-1)*(q-2)*(q-3)*(q-4)],
[q^6*Phi2^3*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/6*(q-2)*(q-3)*(q-4)],
[q^4*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)*(q-4)],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*q*(q-5)*(q-1)*(q-2)*(q-3)*(q-4)],
[q^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)*(q-4)],
[q^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q-3)*(q-4)*(q-2)^2],
[q^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-5)*(q-2)*(q-3)*(q-4)],
[q^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/24*(q-5)*(q-2)*(q-3)*(q-4)],
[q^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q-5)*(q-2)*(q-3)*(q-4)],
[q*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/24*(q-5)*(q-6)*(q-2)*(q-3)*(q-4)],
[q*Phi2^4*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/120*(q-5)*(q-6)*(q-2)*(q-3)*(q-4)],
[Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/720*(q-2)*(q-3)*(q-4)*(q-5)*(q-6)*(q-7)],
[Phi1^7*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/8*q^4*(q+1)*(q^2+1)],
[q^4*Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7, 1/4*q^2*(q+1)],
[Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/32*q^2*(q+1)*(q^4-q^2-4)],
[Phi1^6*Phi2^4*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/15*q^2*(q-1)*(q^2+1)*(q+1)^2],
[Phi1^6*Phi2^2*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/12*q^2*(q-1)*(q+1)*(q^3+q-1)],
[q^12*Phi1^4*Phi3*Phi5*Phi7, 1/2*q],
[q^2*Phi1^5*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/8*q^3*(q-1)*(q+1)],
[q^3*Phi1^5*Phi2^2*Phi4^2*Phi5*Phi7*Phi8, 1/6*q^2*(q-1)*(q+1)],
[Phi1^5*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/36*q^2*(q-1)*(q+1)*(q^3-q-3)],
[Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/32*q^3*(q-1)*(q-2)*(q+1)^2],
[q^6*Phi1^4*Phi3*Phi4*Phi5*Phi7*Phi8, 1/4*q*(q+1)*(q-2)],
[q^4*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q+1)*(q-2)],
[q^2*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/16*q*(q+1)*(q-2)*(q^2-q-4)],
[Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/384*q*(q-2)*(q-3)*(q+2)*(q+1)*(q^2-q-4)],
[Phi1^6*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi8, 1/7*q*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)],
[Phi1^5*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/12*q^3*(q-1)^2*(q+1)^2],
[q*Phi1^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/6*q*(q-1)*(q+1)*(q^3+q-1)],
[Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, 1/10*q^2*(q+1)*(q^2+1)*(q-1)^2],
[q^4*Phi1^4*Phi2^2*Phi4^2*Phi5*Phi7*Phi8, 1/3*q*(q-1)*(q+1)],
[q^3*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/5*q*(q-1)*(q+1)*(q^2+1)],
[q^2*Phi1^4*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/6*q^2*(q+1)*(q-1)^2],
[q^28, 1],
[q^6*Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi7*Phi8, 1/4*q^2*(q-1)*(q+1)],
[q*Phi1^4*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/18*q*(q-1)*(q+1)*(q^3-q-3)],
[q^10*Phi1^2*Phi2^2*Phi4*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q+1)],
[q*Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*q^3*(q+1)*(q-1)^2],
[q^7*Phi1^3*Phi3*Phi4*Phi5*Phi7*Phi8, 1/2*q*(q-1)],
[Phi1^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/24*q^2*(q-2)*(q-1)^2*(q+1)^2],
[q^15*Phi1*Phi4*Phi7*Phi8, 1/2*q*(q-1)],
[q^8*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)],
[q^3*Phi1^3*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q^2*(q+1)*(q-1)^2],
[q^3*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q+1)],
[q^6*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q-1)*(q-2)*(q+1)],
[q*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*q*(q-1)*(q-2)*(q+1)*(q^2-q-4)],
[Phi1^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/12*q*(q-1)*(q-2)*(q+1)*(q^3+q-1)],
[q^3*Phi1^4*Phi2^3*Phi4^2*Phi5*Phi7*Phi8, 1/6*q*(q-1)*(q-2)*(q+1)],
[Phi1^4*Phi2^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/36*q*(q-1)*(q-2)*(q+1)*(q^3-q-3)],
[q*Phi1^4*Phi2^3*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, 1/5*q*(q-1)*(q-2)*(q+1)*(q^2+1)],
[Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/16*q^3*(q+1)*(q-2)*(q-1)^2],
[q^6*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi7*Phi8, 1/4*q*(q-1)*(q-2)],
[q^3*Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q^2*(q-1)*(q-2)*(q+1)],
[q^21*Phi2*Phi4*Phi8, q-2],
[q^6*Phi1^2*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^2*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q+1)*(q-2)*(q-1)^2],
[q*Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q^2*(q+1)*(q-2)*(q-1)^2],
[q^5*Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^10*Phi1*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^16*Phi4*Phi7*Phi8, q-2],
[q^4*Phi1^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q-2)*(q+1)],
[q^13*Phi2*Phi4*Phi6*Phi7*Phi8, q-2],
[q^12*Phi5*Phi6*Phi7*Phi8, 1/2*q-1],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/96*q*(q-1)*(q+1)*(q^2-q-4)*(q-2)^2],
[q^4*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)],
[q^3*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q-1)*(q+1)*(q-2)^2],
[q^7*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)],
[q^6*Phi1*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/16*q*(q-1)*(q+1)*(q-2)^2],
[Phi1^4*Phi2^4*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, 1/30*q*(q-1)*(q-2)*(q-3)*(q+1)*(q^2+1)],
[q*Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*q^2*(q-1)*(q-2)*(q-3)*(q+1)],
[Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/36*q^2*(q-2)*(q-3)*(q+1)*(q-1)^2],
[q^15*Phi2*Phi4*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^3*Phi1^2*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^3*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^2*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q*(q-1)*(q-2)*(q-3)*(q+1)],
[q^6*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*q*(q-1)*(q-2)*(q-3)],
[q^11*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q^9*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-2)*(q-3)],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/16*q*(q-1)*(q-3)*(q+1)*(q-2)^2],
[q^4*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q*(q-1)*(q-2)*(q-3)],
[q^8*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^7*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)],
[q^3*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*q*(q-1)*(q-2)*(q-3)],
[Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/96*q^2*(q-1)*(q-2)*(q-3)*(q-4)*(q+1)],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/48*q*(q-1)*(q-2)*(q-3)*(q-4)],
[q*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/18*q*(q-1)*(q-2)*(q-3)*(q-4)*(q+1)],
[q^10*Phi2^2*Phi3*Phi4*Phi6*Phi7*Phi8, 1/6*(q-2)*(q-3)*(q-4)],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/192*q*(q-1)*(q-3)*(q-4)*(q+1)*(q-2)^2],
[q^3*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*q*(q-1)*(q-2)*(q-3)*(q-4)],
[q^7*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)*(q-4)],
[q^6*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-2)*(q-3)*(q-4)],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q-1)*(q-2)*(q-3)*(q-4)],
[q^5*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-3)*(q-4)],
[q^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/24*(q-2)*(q-3)*(q-4)],
[Phi1^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/360*q*(q-1)*(q-2)*(q-3)*(q-4)*(q-5)*(q+1)],
[q^6*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/24*(q-5)*(q-2)*(q-3)*(q-4)],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*q*(q-5)*(q-1)*(q-2)*(q-3)*(q-4)],
[q^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q-5)*(q-2)*(q-3)*(q-4)],
[q^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*(q-5)*(q-2)*(q-3)*(q-4)],
[Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/1440*q*(q-1)*(q-2)*(q-3)*(q-4)*(q-5)*(q-6)],
[q^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/120*(q-5)*(q-6)*(q-2)*(q-3)*(q-4)],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*(q-5)*(q-6)*(q-2)*(q-3)*(q-4)],
[q*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/720*(q-2)*(q-3)*(q-4)*(q-5)*(q-6)*(q-7)],
[Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/40320*(q-2)*(q-3)*(q-4)*(q-5)*(q-6)*(q-7)*(q-8)]
];