DegreesAndMultiplicitiesA7f4_1mod4 := [
[1, 4],
[q*Phi7, 4],
[Phi2*Phi4*Phi8, q-5],
[q^2*Phi4*Phi5*Phi8, 4],
[Phi4*Phi7*Phi8, 2*q-6],
[Phi1*Phi4*Phi7*Phi8, 1/2*(q-1)^2],
[q^3*Phi3*Phi6*Phi7, 4],
[q*Phi4*Phi7*Phi8, 2*q-6],
[q*Phi2^2*Phi3*Phi4*Phi6*Phi8, q-5],
[Phi2*Phi4*Phi7*Phi8, 1/2*q^2-3*q+13/2],
[q^3*Phi4*Phi7*Phi8, 4],
[Phi2*Phi4*Phi6*Phi7*Phi8, q-5],
[1/2*Phi1^4*Phi3*Phi5*Phi7, 8],
[1/2*Phi5*Phi6*Phi7*Phi8, 8],
[Phi1^4*Phi3*Phi5*Phi7, 2*q-2],
[q^4*Phi6*Phi7*Phi8, 4],
[Phi5*Phi6*Phi7*Phi8, 2*q-6],
[q^4*Phi2^3*Phi4^2*Phi6*Phi8, 4],
[q*Phi2^2*Phi4*Phi6*Phi7*Phi8, q-5],
[q^2*Phi2*Phi4^2*Phi7*Phi8, q-5],
[q*Phi4*Phi5*Phi7*Phi8, 2*q-6],
[Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, q^2-6*q+13],
[Phi1^2*Phi2^2*Phi4*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q+1)],
[q*Phi1*Phi4*Phi5*Phi7*Phi8, 1/2*(q-1)^2],
[Phi1*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, 1/2*(q-1)^3],
[q^6*Phi5*Phi6*Phi7, 4],
[q^3*Phi2*Phi4*Phi6*Phi7*Phi8, q-5],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, q-5],
[q^2*Phi4*Phi5*Phi7*Phi8, 2*q-6],
[q*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, q^2-6*q+13],
[q*Phi2*Phi4*Phi5*Phi7*Phi8, 1/2*q^2-3*q+13/2],
[Phi2^2*Phi3*Phi4*Phi6*Phi7*Phi8, 1/6*(q-5)*(q^2-4*q+9)],
[q^5*Phi5*Phi7*Phi8, 4],
[q^3*Phi2^2*Phi4*Phi6*Phi7*Phi8, q-5],
[q*Phi3*Phi5*Phi6*Phi7*Phi8, 4*q-8],
[q*Phi2^2*Phi4^2*Phi6*Phi7*Phi8, q-5],
[Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-3)*(q-5)],
[Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8, (q-1)^2],
[q^6*Phi4^2*Phi7*Phi8, 4],
[q^2*Phi4*Phi5*Phi6*Phi7*Phi8, 4*q-8],
[q^2*Phi3^2*Phi4*Phi6*Phi7*Phi8, 2*q-6],
[Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, (q-3)^2],
[Phi1^3*Phi3*Phi4*Phi5*Phi7*Phi8, 1/2*(q-1)^2],
[q^7*Phi3*Phi6*Phi7*Phi8, 4],
[q^2*Phi1*Phi3^2*Phi4*Phi6*Phi7*Phi8, 1/2*(q-1)^2],
[Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-1)^2],
[q^3*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q-6],
[q^7*Phi3^2*Phi5*Phi6*Phi8, 4],
[q^3*Phi3*Phi5*Phi6*Phi7*Phi8, 4*q-8],
[q^2*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q-5],
[q^3*Phi3^2*Phi4*Phi6*Phi7*Phi8, 2*q-6],
[q^3*Phi4^2*Phi5*Phi7*Phi8, 2*q-6],
[q*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 2*(q-3)^2],
[Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^2-3*q+13/2],
[q^4*Phi2*Phi4*Phi5*Phi7*Phi8, q-5],
[q^2*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, q-5],
[q*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-3)*(q-5)],
[q^2*Phi2*Phi3^2*Phi4*Phi6*Phi7*Phi8, 1/2*q^2-3*q+13/2],
[q*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q^2-6*q+13],
[Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-4)*(q^2-6*q+13)],
[1/2*q^2*Phi1^4*Phi3^2*Phi5*Phi6*Phi7, 8],
[1/2*Phi1^4*Phi3*Phi4*Phi5*Phi7*Phi8, 2*q-10],
[1/2*q^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 8],
[1/2*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 2*q-10],
[q^2*Phi1^4*Phi3^2*Phi5*Phi6*Phi7, 2*q-2],
[Phi1^4*Phi3*Phi4*Phi5*Phi7*Phi8, 1/4*(q-1)*(q+3)*(q-3)],
[Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)^2*(q+1)^2],
[q*Phi1^3*Phi3*Phi4*Phi5*Phi7*Phi8, 1/2*(q-1)^2],
[q^2*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8, (q-1)^2],
[Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*(q^2-3)*(q-1)^2],
[q^3*Phi1*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)^2],
[Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi7*Phi8, 1/4*(q-1)^3],
[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, 4],
[q^6*Phi5*Phi6*Phi7*Phi8, 4*q-8],
[q^3*Phi1*Phi4^2*Phi5*Phi7*Phi8, 1/2*(q-1)^2],
[q^8*Phi4^2*Phi7*Phi8, 4],
[q*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-1)^2],
[Phi1*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)^3],
[q^4*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q-6],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/2*(q-1)^3],
[Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q-3)*(q-1)^3],
[q^5*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, q-5],
[q^6*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, q-5],
[q^4*Phi2^2*Phi4^2*Phi6*Phi7*Phi8, q-5],
[q^3*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, 3/2*q^2-11*q+43/2],
[q^4*Phi4^2*Phi5*Phi7*Phi8, 2*q-6],
[q^3*Phi2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q-5],
[q^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, (q-3)^2],
[q*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^2-3*q+13/2],
[q^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 2*q-6],
[q^3*Phi2*Phi4^2*Phi5*Phi7*Phi8, 1/2*q^2-3*q+13/2],
[q^2*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q^2-6*q+13],
[q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-4*q^2+21/2*q-11],
[Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-3)*(q^2-6*q+13)],
[q*Phi2^3*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/6*(q-5)*(q^2-4*q+9)],
[Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/24*(q^2-4*q+9)*(q-5)^2],
[q*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, (q-1)^2],
[Phi1^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-1)^2],
[q^9*Phi5*Phi7*Phi8, 4],
[q^6*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, q-5],
[q^4*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q-5],
[q^3*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 4*q-8],
[q^2*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-3)*(q-5)],
[q^4*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, 2*q-6],
[q^3*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, q-5],
[q^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, q^2-6*q+13],
[q*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-6*q+13],
[q*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-3)^2],
[Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-5)*(q^2-5*q+10)],
[1/2*q^4*Phi1^4*Phi3*Phi5*Phi7*Phi8, 8],
[1/2*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 6*q-10],
[1/2*q^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 8],
[1/2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 2*q-6],
[Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7, 1/2*(q-1)*(q+1)^2],
[q^4*Phi1^4*Phi3*Phi5*Phi7*Phi8, 2*q-2],
[Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)*(q+3)*(q-3)],
[Phi1^4*Phi2^2*Phi4^2*Phi5*Phi7*Phi8, 2/3*q*(q-1)*(q+1)],
[q^12*Phi6*Phi7*Phi8, 4],
[q^2*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, (q-1)^2],
[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, 1/2*(q-1)^3],
[q^6*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q-6],
[q^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 2*q-6],
[q^4*Phi1*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, 1/2*(q-1)^2],
[q^11*Phi2^3*Phi4^2*Phi6*Phi8, 4],
[q^2*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)^3],
[q*Phi1*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)^3],
[q^6*Phi2^2*Phi4^2*Phi6*Phi7*Phi8, q-5],
[q^5*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q-5],
[q*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-1)^2],
[Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-3)*(q-1)^3],
[q^6*Phi4^2*Phi5*Phi7*Phi8, 2*q-6],
[q^3*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-6*q+13],
[q^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-3)^2],
[q^7*Phi2*Phi4*Phi5*Phi7*Phi8, q-5],
[q^5*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, 2*q-6],
[q^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 4*q-8],
[q^4*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q-5],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q^2-14*q+28],
[q^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-6*q+13],
[q^3*Phi2*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, q^2-6*q+13],
[q^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 2*(q-3)^2],
[q*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-5)*(q^2-5*q+10)],
[Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*(q-5)*(q-1)*(q-3)],
[q^4*Phi2^4*Phi4^2*Phi6*Phi7*Phi8, 1/2*q^2-3*q+13/2],
[q^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/6*(q-5)*(q^2+2*q-9)],
[q*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-9/2*q^2+33/2*q-49/2],
[q*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-4)*(q^2-6*q+13)],
[Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q^2-4*q+9)*(q-5)^2],
[Phi1^5*Phi2^2*Phi4^2*Phi5*Phi7*Phi8, 1/6*q*(q+1)*(q-1)^2],
[q*Phi1^4*Phi2^2*Phi4^2*Phi5*Phi7*Phi8, 2/3*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-1)^2],
[Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q+1)*(q-2)*(q-1)^2],
[q^6*Phi1*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)^2],
[Phi1^4*Phi2^3*Phi4^2*Phi5*Phi7*Phi8, 1/6*q*(q-1)*(q-3)*(q+1)],
[q*Phi1^3*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)^2*(q+1)^2],
[Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q+1)*(q^2-q-1)*(q-1)^2],
[q^3*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 2*(q-1)^2],
[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-2)*(q-1)^2],
[q^15*Phi3*Phi6*Phi7, 4],
[q^13*Phi4*Phi7*Phi8, 4],
[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-5],
[q*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*(q^2+8*q-11)*(q-1)^2],
[Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*(q^2-q-3)*(q-1)^3],
[q^6*Phi1*Phi4^2*Phi5*Phi7*Phi8, 1/2*(q-1)^2],
[q^3*Phi1*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)^3],
[q^7*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q-6],
[q^2*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-1)^2],
[q*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/6*(q-1)*(q-2)*(2*q-1)*(q+3)],
[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-5],
[Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q-4)*(q-1)^3],
[q^10*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, q-5],
[q^7*Phi3*Phi5*Phi6*Phi7*Phi8, 4*q-8],
[q^6*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, 3/2*q^2-11*q+43/2],
[q^3*Phi1*Phi2*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, 1/2*(q-1)^3],
[q^2*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-1)^2],
[q^7*Phi3^2*Phi4*Phi6*Phi7*Phi8, 2*q-6],
[q*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-3)*(q-1)^3],
[q^7*Phi4^2*Phi5*Phi7*Phi8, 2*q-6],
[q^6*Phi2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q-5],
[q^5*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 4*q-8],
[q^4*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-6*q+13],
[Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*(q-2)*(q-3)*(q-1)^2],
[q^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 2*(q-3)^2],
[q^5*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, q-5],
[q*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q-3)*(q-1)^3],
[Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*(q-3)*(q^2-5*q+3)*(q-1)^2],
[q^6*Phi2*Phi4^2*Phi5*Phi7*Phi8, 1/2*q^2-3*q+13/2],
[q^4*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q^2-14*q+28],
[q^3*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-7/2*q^2+17/2*q-19/2],
[q^4*Phi2*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, q^2-6*q+13],
[q^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 2*(q-3)^2],
[q^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^3-10*q^2+36*q-51],
[q*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/3*(q-3)*(q^2-6*q+11)],
[q^2*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^2-3*q+13/2],
[q^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, 1/6*(q-5)*(q^2-4*q+9)],
[q^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-4)*(q^2-6*q+13)],
[q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q-3)*(q-5)*(q^2-3*q+5)],
[Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*(q-5)*(q^3-10*q^2+33*q-48)],
[q*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/24*(q^2-4*q+9)*(q-5)^2],
[Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/120*(q-5)*(q^4-15*q^3+80*q^2-195*q+249)],
[1/2*q^6*Phi1^4*Phi3^2*Phi5*Phi6*Phi7, 8],
[1/2*q^2*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 4*q-12],
[1/2*q^2*Phi1^4*Phi3*Phi4^2*Phi5*Phi7*Phi8, 2*q-10],
[1/2*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 3/2*q^2-7*q+27/2],
[1/2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 3/2*(q-1)^2],
[1/2*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)^2],
[1/2*q^6*Phi3^2*Phi5*Phi6*Phi7*Phi8, 8],
[1/2*q^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 4*q-12],
[1/2*q^2*Phi2^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 2*q-10],
[1/2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-5)^2],
[Phi1^5*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q-1)^2*(q+1)^2],
[q^6*Phi1^4*Phi3^2*Phi5*Phi6*Phi7, 2*q-2],
[q^2*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)*(q^2-5)],
[q^2*Phi1^4*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/4*(q-1)*(q+3)*(q-3)],
[Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/16*(q-1)*(q^4-q^3-7*q^2-7*q+46)],
[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-1)^2*(q+1)^2],
[q^6*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8, (q-1)^2],
[q^3*Phi1^3*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/2*(q-1)^2],
[q*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q+1)*(q-2)*(q-1)^2],
[q^4*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, (q-1)^2],
[q^2*Phi1^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*(q^2-3)*(q-1)^2],
[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-1)^3],
[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-2)*(q-1)^2],
[q^16*Phi4*Phi5*Phi8, 4],
[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, (q-1)^3],
[q^7*Phi1*Phi3^2*Phi4*Phi6*Phi7*Phi8, 1/2*(q-1)^2],
[q^8*Phi4*Phi5*Phi6*Phi7*Phi8, 4*q-8],
[Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/16*(q^3-2*q^2-3*q-4)*(q-1)^2],
[q^3*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-1)^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-4)*(q-1)^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-5],
[q^4*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)^3],
[q^10*Phi4*Phi5*Phi7*Phi8, 2*q-6],
[q^7*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q-5],
[q^3*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-1)^2],
[q^8*Phi3^2*Phi4*Phi6*Phi7*Phi8, 2*q-6],
[q^2*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-3)*(q-1)^3],
[q^6*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, (q-3)^2],
[q^5*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-3)*(q-5)],
[q*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-2)*(q-3)*(q-1)^2],
[q^4*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-3)^2],
[Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/48*(q-2)*(q-1)^2*(q-3)^2],
[q^2*Phi1*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)^3],
[q^7*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, q-5],
[q^7*Phi2*Phi3^2*Phi4*Phi6*Phi7*Phi8, 1/2*q^2-3*q+13/2],
[q^6*Phi3^2*Phi5*Phi6*Phi7*Phi8, 2*q-6],
[q*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-3)*(q-1)^3],
[q^6*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q^2-6*q+13],
[q^5*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, q^2-6*q+13],
[q^4*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-6*q+13],
[Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*(q-3)*(q-4)*(q-1)^3],
[q^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 2*(q-3)^2],
[q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^3-10*q^2+36*q-51],
[q^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-3)^3],
[q^4*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/6*(q-5)*(q^2+2*q-9)],
[q^3*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^2-3*q+13/2],
[q^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-4)*(q^2-6*q+13)],
[q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/24*(q-5)*(q^3+15*q^2-91*q+195)],
[q*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-5)*(q^3-10*q^2+33*q-48)],
[q^2*Phi2^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-3)*(q^2-6*q+13)],
[q*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q^2-4*q+9)*(q-5)^2],
[Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*(q-5)*(q^4-15*q^3+83*q^2-213*q+288)],
[Phi1^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/6*q*(q+1)*(q^2+q+2)*(q-1)^2],
[q^3*Phi1^4*Phi2^2*Phi4^2*Phi5*Phi7*Phi8, 2/3*q*(q-1)*(q+1)],
[Phi1^4*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/18*q*(q-1)*(q-2)*(q+1)*(q^2+2*q+3)],
[Phi1^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*(q^2-q+1)*(q-1)^2*(q+1)^2],
[q^6*Phi1^3*Phi3*Phi4*Phi5*Phi7*Phi8, 1/2*(q-1)^2],
[q^2*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q+1)*(q-2)*(q-1)^2],
[Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*(q+1)*(q^3-2*q^2-4*q+9)*(q-1)^2],
[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-1)^2*(q+1)^2],
[q^21*Phi7, 4],
[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)^2*(q+1)^2],
[q^5*Phi1^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, (q-1)^2],
[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-1)^2],
[q^15*Phi4*Phi7*Phi8, 2*q-6],
[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^2+8*q-11)*(q-1)^2],
[q^6*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-1)^2],
[q*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*(q^3-2*q^2-3*q+2)*(q-1)^2],
[q*Phi1^3*Phi2^3*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q+1)*(q^2-q-1)*(q-1)^2],
[Phi1^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*(q-3)*(q+1)*(q^2-q-1)*(q-1)^2],
[q^3*Phi1^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/6*(q-1)*(q-2)*(2*q-1)*(q+3)],
[q^15*Phi2^2*Phi3*Phi4*Phi6*Phi8, q-5],
[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-5],
[q^2*Phi1^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q-4)*(q-1)^3],
[q*Phi1^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/24*(q-1)*(11*q^4-41*q^3+8*q^2+63*q-9)],
[q^6*Phi1*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/2*(q-1)^3],
[q^11*Phi4*Phi5*Phi7*Phi8, 2*q-6],
[q^10*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, q^2-6*q+13],
[q^9*Phi3*Phi5*Phi6*Phi7*Phi8, 4*q-8],
[q^4*Phi1*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)^3],
[q^9*Phi2^2*Phi4^2*Phi6*Phi7*Phi8, q-5],
[Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/16*(q^4-5*q^3+4*q^2+9*q-5)*(q-1)^2],
[q^4*Phi1*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-1)^2],
[q^3*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-3)*(q-1)^3],
[q^7*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 2*(q-3)^2],
[q^6*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^2-3*q+13/2],
[q^2*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-2)*(q-3)*(q-1)^2],
[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^2-3*q+13/2],
[q^7*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-3)*(q-5)],
[q^3*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q-3)*(q-1)^3],
[q^2*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-3)*(q-1)^3],
[q^7*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q^2-6*q+13],
[q^6*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-4*q^2+21/2*q-11],
[q^5*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-6*q+13],
[q*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-3)*(q-4)*(q-1)^3],
[q^5*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-3)^2],
[q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, (q-5)*(q^2-5*q+10)],
[q^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/3*(q-3)*(q^2-6*q+11)],
[q*Phi1*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*(q-3)*(q^2-5*q+3)*(q-1)^2],
[q^6*Phi2^3*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/6*(q-5)*(q^2-4*q+9)],
[q^4*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-9/2*q^2+33/2*q-49/2],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*(q-3)*(q-5)*(q^2-5*q+3)*(q-1)^2],
[q^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-4)*(q^2-6*q+13)],
[q^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q-3)*(q-5)*(q^2-3*q+5)],
[q^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-5)*(q^3-10*q^2+33*q-48)],
[q^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/24*(q^2-4*q+9)*(q-5)^2],
[q^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q^2-4*q+9)*(q-5)^2],
[q*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/24*(q-5)*(q^4-15*q^3+83*q^2-207*q+258)],
[q*Phi2^4*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/120*(q-5)*(q^4-15*q^3+80*q^2-195*q+249)],
[Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/720*(q-5)*(q^5-22*q^4+185*q^3-755*q^2+1554*q-1683)],
[1/2*Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 5/4*(q-1)*(q+1)^2],
[1/2*Phi1^6*Phi2^2*Phi3*Phi4^2*Phi5*Phi7*Phi8, 2/3*q*(q-1)*(q+1)],
[1/2*q^12*Phi1^4*Phi3*Phi5*Phi7, 8],
[1/2*q^6*Phi1^4*Phi3*Phi4*Phi5*Phi7*Phi8, 2*q-10],
[1/2*q^4*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 6*q-10],
[1/2*q^2*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 3/2*q^2-7*q+27/2],
[1/2*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 25/48*q^3-37/16*q^2+107/48*q-39/16],
[1/2*Phi1^4*Phi2^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 2/3*q*(q-1)*(q+1)],
[1/2*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q+1)*(q-1)^2],
[1/2*q^12*Phi5*Phi6*Phi7*Phi8, 8],
[1/2*q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 3/2*(q-1)^2],
[1/2*q^2*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)^2],
[1/2*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*(3*q-11)*(q-1)^2],
[1/2*q^6*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 2*q-10],
[1/2*q^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 2*q-6],
[1/2*q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-5)^2],
[1/2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*(q-5)*(q^2-10*q+33)],
[Phi1^7*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/8*(q-1)*(q+1)^2*(q^2+1)^2],
[q^4*Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7, 1/2*(q-1)*(q+1)^2],
[Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/32*(q-1)*(q^4-17)*(q+1)^2],
[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*(q+1)*(q^3+q^2+2*q+1)*(q-1)^2],
[q^12*Phi1^4*Phi3*Phi5*Phi7, 2*q-2],
[q^2*Phi1^5*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/8*q*(q-1)^2*(q+1)^2],
[q^3*Phi1^5*Phi2^2*Phi4^2*Phi5*Phi7*Phi8, 1/6*q*(q+1)*(q-1)^2],
[Phi1^5*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/36*q*(q+1)*(q^3+q^2-3)*(q-1)^2],
[Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/32*(q^3-q^2-q-1)*(q-1)^2*(q+1)^2],
[q^6*Phi1^4*Phi3*Phi4*Phi5*Phi7*Phi8, 1/4*(q-1)*(q+3)*(q-3)],
[q^4*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)*(q+3)*(q-3)],
[q^2*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/16*(q-1)*(q^4-q^3-7*q^2-7*q+46)],
[Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/384*(q-3)*(q^4+2*q^3-6*q^2-18*q-59)*(q-1)^2],
[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^2+q+2)*(q-1)^2],
[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, 2/3*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, 4],
[q^6*Phi1^3*Phi2*Phi3*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)^2*(q+1)^2],
[q*Phi1^4*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/18*q*(q-1)*(q-2)*(q+1)*(q^2+2*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^2-q+1)*(q-1)^2*(q+1)^2],
[q^7*Phi1^3*Phi3*Phi4*Phi5*Phi7*Phi8, 1/2*(q-1)^2],
[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-1)^2],
[q^8*Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8, (q-1)^2],
[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+1)*(q-2)*(q-1)^2],
[q^6*Phi1^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*(q^2-3)*(q-1)^2],
[q*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*(q+1)*(q^3-2*q^2-4*q+9)*(q-1)^2],
[Phi1^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/12*q*(q+1)*(q^3-q^2-3)*(q-1)^2],
[q^3*Phi1^4*Phi2^3*Phi4^2*Phi5*Phi7*Phi8, 1/6*q*(q-1)*(q-3)*(q+1)],
[Phi1^4*Phi2^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/36*q*(q+1)*(q^3-q^2-2*q-3)*(q-1)^2],
[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^3-3*q^2+3*q-3)*(q-1)^2*(q+1)^2],
[q^6*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi7*Phi8, 1/4*(q-1)^3],
[q^3*Phi1^3*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q+1)*(q^2-q-1)*(q-1)^2],
[q^21*Phi2*Phi4*Phi8, q-5],
[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-2)*(q-1)^2],
[q^10*Phi1*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, 1/2*(q-1)^3],
[q^16*Phi4*Phi7*Phi8, 2*q-6],
[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-5],
[q^12*Phi5*Phi6*Phi7*Phi8, 2*q-6],
[Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/96*(q-3)*(q+1)*(q^2-3)*(q-1)^3],
[q^4*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)^3],
[q^3*Phi1^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*(q^2-q-3)*(q-1)^3],
[q^7*Phi1*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-2)*(q-1)^2],
[q^6*Phi1*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)^3],
[q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/16*(q^3-2*q^2-3*q-4)*(q-1)^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-3)*(q+1)*(q^2-q-1)*(q-1)^2],
[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^2-3*q+13/2],
[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-4)*(q-1)^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-3)*(q-1)^3],
[q^11*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, q^2-6*q+13],
[q^9*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-3)*(q-5)],
[q*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/16*(q^4-5*q^3+4*q^2+9*q-5)*(q-1)^2],
[q^4*Phi1*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-3)*(q-1)^3],
[q^8*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, (q-3)^2],
[q^7*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^2-3*q+13/2],
[q^3*Phi1*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*(q-2)*(q-3)*(q-1)^2],
[Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/96*(q-3)*(q+1)*(q^3-5*q^2+3*q+3)*(q-1)^2],
[q^2*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/48*(q-2)*(q-1)^2*(q-3)^2],
[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-5)*(q^2-4*q+9)],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/192*(q-3)*(q^4-6*q^3+6*q^2+10*q-27)*(q-1)^2],
[q^3*Phi1*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*(q-3)*(q^2-5*q+3)*(q-1)^2],
[q^7*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-4)*(q^2-6*q+13)],
[q^6*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-3)*(q^2-6*q+13)],
[q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*(q-3)*(q-4)*(q-1)^3],
[q^5*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-5)*(q^2-5*q+10)],
[q^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*(q-5)*(q-1)*(q-3)],
[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^2-4*q+9)*(q-5)^2],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*(q-3)*(q-5)*(q^2-5*q+3)*(q-1)^2],
[q^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*(q^2-4*q+9)*(q-5)^2],
[q^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*(q-5)*(q^3-10*q^2+33*q-48)],
[Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/1440*(q-3)*(q^2-6*q+3)*(q-1)^2*(q-5)^2],
[q^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/120*(q-5)*(q^4-15*q^3+80*q^2-195*q+249)],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*(q-5)*(q^4-15*q^3+83*q^2-213*q+288)],
[q*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/720*(q-5)*(q^5-22*q^4+185*q^3-755*q^2+1554*q-1683)],
[Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/40320*(q-1)*(q-3)*(q-5)*(q-7)*(q-9)*(q^2-10*q+31)]
];