DegreesAndMultiplicitiesA7ad_1mod8 := [
[1, 8],
[q*Phi7, 8],
[Phi2*Phi4*Phi8, q-9],
[q^2*Phi4*Phi5*Phi8, 8],
[Phi4*Phi7*Phi8, 2*q-10],
[Phi1*Phi4*Phi7*Phi8, 1/2*(q-1)^2],
[q^3*Phi3*Phi6*Phi7, 8],
[q*Phi4*Phi7*Phi8, 2*q-10],
[q*Phi2^2*Phi3*Phi4*Phi6*Phi8, q-9],
[Phi2*Phi4*Phi7*Phi8, 1/2*q^2-3*q+21/2],
[q^3*Phi4*Phi7*Phi8, 8],
[Phi2*Phi4*Phi6*Phi7*Phi8, q-9],
[Phi1^4*Phi3*Phi5*Phi7, 2*q-2],
[q^4*Phi6*Phi7*Phi8, 8],
[Phi5*Phi6*Phi7*Phi8, 2*q-6],
[q^4*Phi2^3*Phi4^2*Phi6*Phi8, 8],
[q*Phi2^2*Phi4*Phi6*Phi7*Phi8, q-9],
[q^2*Phi2*Phi4^2*Phi7*Phi8, q-9],
[q*Phi4*Phi5*Phi7*Phi8, 2*q-10],
[Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, q^2-6*q+21],
[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, 8],
[q^3*Phi2*Phi4*Phi6*Phi7*Phi8, q-9],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8, q-9],
[q^2*Phi4*Phi5*Phi7*Phi8, 2*q-10],
[q*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, q^2-6*q+21],
[q*Phi2*Phi4*Phi5*Phi7*Phi8, 1/2*q^2-3*q+21/2],
[Phi2^2*Phi3*Phi4*Phi6*Phi7*Phi8, 1/6*q^3-3/2*q^2+29/6*q-23/2],
[q^5*Phi5*Phi7*Phi8, 8],
[q^3*Phi2^2*Phi4*Phi6*Phi7*Phi8, q-9],
[q*Phi3*Phi5*Phi6*Phi7*Phi8, 4*q-12],
[q*Phi2^2*Phi4^2*Phi6*Phi7*Phi8, q-9],
[Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q^2-8*q+23],
[Phi1^2*Phi3*Phi5*Phi6*Phi7*Phi8, (q-1)^2],
[q^6*Phi4^2*Phi7*Phi8, 8],
[q^2*Phi4*Phi5*Phi6*Phi7*Phi8, 4*q-12],
[q^2*Phi3^2*Phi4*Phi6*Phi7*Phi8, 2*q-10],
[Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, q^2-6*q+13],
[Phi1^3*Phi3*Phi4*Phi5*Phi7*Phi8, 1/2*(q-1)^2],
[q^7*Phi3*Phi6*Phi7*Phi8, 8],
[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-10],
[q^7*Phi3^2*Phi5*Phi6*Phi8, 8],
[q^3*Phi3*Phi5*Phi6*Phi7*Phi8, 4*q-12],
[q^2*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q-9],
[q^3*Phi3^2*Phi4*Phi6*Phi7*Phi8, 2*q-10],
[q^3*Phi4^2*Phi5*Phi7*Phi8, 2*q-10],
[q*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q^2-12*q+26],
[Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^2-3*q+21/2],
[q^4*Phi2*Phi4*Phi5*Phi7*Phi8, q-9],
[q^2*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, q-9],
[q*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, q^2-8*q+23],
[q^2*Phi2*Phi3^2*Phi4*Phi6*Phi7*Phi8, 1/2*q^2-3*q+21/2],
[q*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q^2-6*q+21],
[Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-5*q^2+37/2*q-38],
[q^2*Phi1^4*Phi3^2*Phi5*Phi6*Phi7, 2*q-2],
[Phi1^4*Phi3*Phi4*Phi5*Phi7*Phi8, 1/4*(q-1)*(q^2-7)],
[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, 8],
[q^6*Phi5*Phi6*Phi7*Phi8, 4*q-12],
[q^3*Phi1*Phi4^2*Phi5*Phi7*Phi8, 1/2*(q-1)^2],
[q^8*Phi4^2*Phi7*Phi8, 8],
[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-10],
[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-9],
[q^6*Phi2^2*Phi4^2*Phi5*Phi6*Phi8, q-9],
[q^4*Phi2^2*Phi4^2*Phi6*Phi7*Phi8, q-9],
[q^3*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, 3/2*q^2-11*q+67/2],
[q^4*Phi4^2*Phi5*Phi7*Phi8, 2*q-10],
[q^3*Phi2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q-9],
[q^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, q^2-6*q+13],
[q*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^2-3*q+21/2],
[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+21/2],
[q^2*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q^2-6*q+21],
[q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-5)*(q^2-3*q+6)],
[Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*q^3-9/4*q^2+33/4*q-73/4],
[q*Phi2^3*Phi3*Phi4^2*Phi6*Phi7*Phi8, 1/6*q^3-3/2*q^2+29/6*q-23/2],
[Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/24*q^4-7/12*q^3+37/12*q^2-95/12*q+107/8],
[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, 8],
[q^6*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, q-9],
[q^4*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q-9],
[q^3*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 4*q-12],
[q^2*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-8*q+23],
[q^4*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, 2*q-10],
[q^3*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, q-9],
[q^2*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, q^2-6*q+21],
[q*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-6*q+21],
[q*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, q^2-6*q+13],
[Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-5*q^2+35/2*q-37],
[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^2-3)],
[Phi1^4*Phi2^2*Phi4^2*Phi5*Phi7*Phi8, 2/3*q*(q-1)*(q+1)],
[q^12*Phi6*Phi7*Phi8, 8],
[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-10],
[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, 8],
[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-9],
[q^5*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q-9],
[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-10],
[q^3*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-6*q+21],
[q^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-6*q+13],
[q^7*Phi2*Phi4*Phi5*Phi7*Phi8, q-9],
[q^5*Phi2^3*Phi4^2*Phi6*Phi7*Phi8, 2*q-10],
[q^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 4*q-12],
[q^4*Phi2^2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q-9],
[q^3*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q^2-14*q+44],
[q^2*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-6*q+21],
[q^3*Phi2*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, q^2-6*q+21],
[q^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q^2-12*q+26],
[q*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^3-10*q^2+35*q-74],
[Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*(q-5)*(q^2-4*q+9)],
[q^4*Phi2^4*Phi4^2*Phi6*Phi7*Phi8, 1/2*q^2-3*q+21/2],
[q^2*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/6*q^3-1/2*q^2-19/6*q+23/2],
[q*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-9/2*q^2+33/2*q-73/2],
[q*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-5*q^2+37/2*q-38],
[Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q^4-7/3*q^3+37/3*q^2-95/3*q+107/2],
[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, 8],
[q^13*Phi4*Phi7*Phi8, 8],
[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-9],
[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-10],
[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-9],
[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-9],
[q^7*Phi3*Phi5*Phi6*Phi7*Phi8, 4*q-12],
[q^6*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, 3/2*q^2-11*q+67/2],
[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-10],
[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-10],
[q^6*Phi2*Phi3*Phi4^2*Phi6*Phi7*Phi8, q-9],
[q^5*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 4*q-12],
[q^4*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-6*q+21],
[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^2-12*q+26],
[q^5*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, q-9],
[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+21/2],
[q^4*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q^2-14*q+44],
[q^3*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-7/2*q^2+17/2*q-27/2],
[q^4*Phi2*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, q^2-6*q+21],
[q^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q^2-12*q+26],
[q^2*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^3-10*q^2+36*q-75],
[q*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/3*(q-5)*(q^2-4*q+9)],
[q^2*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^2-3*q+21/2],
[q^3*Phi2^2*Phi3^2*Phi4^2*Phi6*Phi7*Phi8, 1/6*q^3-3/2*q^2+29/6*q-23/2],
[q^2*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-5*q^2+37/2*q-38],
[q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q^4-11/6*q^3+22/3*q^2-85/6*q+33/2],
[Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*q^4-5/4*q^3+83/12*q^2-71/4*q+28],
[q*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/24*q^4-7/12*q^3+37/12*q^2-95/12*q+107/8],
[Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/120*q^5-1/6*q^4+31/24*q^3-119/24*q^2+51/5*q-115/8],
[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^2-3)],
[q^2*Phi1^4*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/4*(q-1)*(q^2-7)],
[Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/16*(q-1)*(q^4-q^3-7*q^2-q+24)],
[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, 8],
[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-12],
[Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/16*(q^3-2*q^2-3*q+2)*(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-9],
[q^4*Phi1*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)^3],
[q^10*Phi4*Phi5*Phi7*Phi8, 2*q-10],
[q^7*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q-9],
[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-10],
[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^2-6*q+13],
[q^5*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-8*q+23],
[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^2-6*q+13],
[Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/48*(q^3-8*q^2+21*q-12)*(q-1)^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-9],
[q^7*Phi2*Phi3^2*Phi4*Phi6*Phi7*Phi8, 1/2*q^2-3*q+21/2],
[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+21],
[q^5*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, q^2-6*q+21],
[q^4*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-6*q+21],
[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^2-12*q+26],
[q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^3-10*q^2+36*q-75],
[q^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-5)*(q^2-4*q+9)],
[q^4*Phi2^2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/6*q^3-1/2*q^2-19/6*q+23/2],
[q^3*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^2-3*q+21/2],
[q^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-5*q^2+37/2*q-38],
[q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/24*q^4+5/12*q^3-83/12*q^2+325/12*q-485/8],
[q*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*q^4-15/4*q^3+83/4*q^2-213/4*q+84],
[q^2*Phi2^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*q^3-9/4*q^2+33/4*q-73/4],
[q*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q^4-7/3*q^3+37/3*q^2-95/3*q+107/2],
[Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*q^5-5/12*q^4+79/24*q^3-311/24*q^2+431/16*q-295/8],
[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, 8],
[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-10],
[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-9],
[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-9],
[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-10],
[q^10*Phi2*Phi3*Phi4*Phi6*Phi7*Phi8, q^2-6*q+21],
[q^9*Phi3*Phi5*Phi6*Phi7*Phi8, 4*q-12],
[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-9],
[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^2-12*q+26],
[q^6*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^2-3*q+21/2],
[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+21/2],
[q^7*Phi2^2*Phi4*Phi5*Phi6*Phi7*Phi8, q^2-8*q+23],
[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+21],
[q^6*Phi2*Phi3*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*(q-5)*(q^2-3*q+6)],
[q^5*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^2-6*q+21],
[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^2-6*q+13],
[q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, q^3-10*q^2+35*q-74],
[q^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/3*(q-5)*(q^2-4*q+9)],
[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^3-3/2*q^2+29/6*q-23/2],
[q^4*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-9/2*q^2+33/2*q-73/2],
[Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*(q-5)*(q-3)*(q^2-5*q+3)*(q-1)^2],
[q^4*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/2*q^3-5*q^2+37/2*q-38],
[q^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q^4-11/6*q^3+22/3*q^2-85/6*q+33/2],
[q^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*q^4-15/4*q^3+83/4*q^2-213/4*q+84],
[q^3*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/24*q^4-7/12*q^3+37/12*q^2-95/12*q+107/8],
[q^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q^4-7/3*q^3+37/3*q^2-95/3*q+107/2],
[q*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/24*q^5-5/6*q^4+79/12*q^3-311/12*q^2+431/8*q-295/4],
[q*Phi2^4*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/120*q^5-1/6*q^4+31/24*q^3-119/24*q^2+51/5*q-115/8],
[Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/720*q^6-3/80*q^5+59/144*q^4-7/3*q^3+5329/720*q^2-3151/240*q+251/16],
[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^4-7)*(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+1)*(q^4+q^2-q+1)],
[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^2-7)],
[q^4*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)*(q^2-3)],
[q^2*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/16*(q-1)*(q^4-q^3-7*q^2-q+24)],
[Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/384*(q-1)*(q^6-2*q^5-11*q^4+12*q^3+45*q^2+10*q-135)],
[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, 8],
[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+1)*(q^4-2*q^3-q^2-q+9)],
[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+1)*(q^4-2*q^3-1)*(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-9],
[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-10],
[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-9],
[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+2)*(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+21/2],
[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+21],
[q^9*Phi2*Phi4*Phi5*Phi6*Phi7*Phi8, q^2-8*q+23],
[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^2-6*q+13],
[q^7*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q^2-3*q+21/2],
[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^3-8*q^2+21*q-12)*(q-1)^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^3-3/2*q^2+29/6*q-23/2],
[Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/192*(q^5-9*q^4+24*q^3-8*q^2-39*q+15)*(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^3-5*q^2+37/2*q-38],
[q^6*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*q^3-9/4*q^2+33/4*q-73/4],
[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^3-5*q^2+35/2*q-37],
[q^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*(q-5)*(q^2-4*q+9)],
[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^4-7/12*q^3+37/12*q^2-95/12*q+107/8],
[q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*(q-5)*(q-3)*(q^2-5*q+3)*(q-1)^2],
[q^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/6*q^4-7/3*q^3+37/3*q^2-95/3*q+107/2],
[q^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/12*q^4-5/4*q^3+83/12*q^2-71/4*q+28],
[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^5-1/6*q^4+31/24*q^3-119/24*q^2+51/5*q-115/8],
[q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/48*q^5-5/12*q^4+79/24*q^3-311/24*q^2+431/16*q-295/8],
[q*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/720*q^6-3/80*q^5+59/144*q^4-7/3*q^3+5329/720*q^2-3151/240*q+251/16],
[Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/40320*(q-9)*(q^6-26*q^5+277*q^4-1532*q^3+4741*q^2-7766*q+9345)]
];