DegreesAndMultiplicitiesA7sc_1mod8 := [ [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], [1/2*Phi1^4*Phi3*Phi5*Phi7, 2], [1/2*Phi5*Phi6*Phi7*Phi8, 2], [Phi1^4*Phi3*Phi5*Phi7, 1/2*q-1/2], [q^4*Phi6*Phi7*Phi8, 1], [Phi5*Phi6*Phi7*Phi8, 1/2*q-3/2], [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)], [1/2*q^2*Phi1^4*Phi3^2*Phi5*Phi6*Phi7, 2], [1/2*Phi1^4*Phi3*Phi4*Phi5*Phi7*Phi8, q-3], [1/2*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi7*Phi8, q-1], [1/2*Phi1*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q-1], [1/2*q^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 2], [1/2*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q-3], [q^2*Phi1^4*Phi3^2*Phi5*Phi6*Phi7, 1/2*q-1/2], [Phi1^4*Phi3*Phi4*Phi5*Phi7*Phi8, 1/4*(q-1)*(q^2-3)], [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-1)*(q^2-2*q-1)], [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-1)*(q^2-2*q-1)], [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-3/2], [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-3)*(q^2-6*q+7)], [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)], [1/4*Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7, 8], [1/4*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 4], [1/4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 4], [1/2*Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7, q-1], [1/2*q^4*Phi1^4*Phi3*Phi5*Phi7*Phi8, 2], [1/2*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 3/2*q-7/2], [1/2*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, q-1], [1/2*q^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 2], [1/2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q-5/2], [Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7, 1/4*(q-1)*(q+1)^2], [q^4*Phi1^4*Phi3*Phi5*Phi7*Phi8, 1/2*q-1/2], [Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/8*(q-1)*(q^2-5)], [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-1)*(q^2-2*q-1)], [q^6*Phi4*Phi5*Phi6*Phi7*Phi8, q-2], [q^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q-3/2], [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-5)*(q-1)*(q-3)], [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)], [1/2*Phi1^5*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)*(q+1)], [1/2*q^6*Phi1^4*Phi3^2*Phi5*Phi6*Phi7, 2], [1/2*q^2*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, q-3], [1/2*q^2*Phi1^4*Phi3*Phi4^2*Phi5*Phi7*Phi8, q-3], [1/2*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 3/4*q^2-3*q+17/4], [1/2*q^2*Phi1^3*Phi2*Phi3*Phi4^2*Phi5*Phi7*Phi8, q-1], [1/2*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-1)^2], [1/2*q^2*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q-2], [1/2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)*(3*q-5)], [1/2*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)*(q-3)], [1/2*q^2*Phi1*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, q-1], [1/2*q^6*Phi3^2*Phi5*Phi6*Phi7*Phi8, 2], [1/2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)*(q-3)], [1/2*q^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q-3], [1/2*q^2*Phi2^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, q-3], [1/2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-3)*(q-5)], [Phi1^5*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/8*(q+1)*(q^2+q+1)*(q-1)^2], [q^6*Phi1^4*Phi3^2*Phi5*Phi6*Phi7, 1/2*q-1/2], [q^2*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)*(q^2-3)], [q^2*Phi1^4*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/4*(q-1)*(q^2-3)], [Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/16*(q-1)*(q^4-q^3-6*q^2-3*q+17)], [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-1)*(q^2-2*q-1)], [Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q^3-q^2-2*q-1)*(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-1)*(q^2-2*q-1)], [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-1)*(q^4-3*q^3+q+5)], [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-3)*(q^2-5*q+3)*(q-1)^2], [q^2*Phi1*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)*(q^2-2*q-1)], [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-3/2], [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-1)*(q-3)*(q^3-6*q^2+8*q-1)], [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-3)*(q^2-6*q+7)], [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-3)*(q^2-6*q+7)], [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^2-9*q+17)*(q-3)^2], [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)], [1/8*Phi1^7*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi7, 32], [1/8*Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 16], [1/8*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 8], [1/8*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 8], [1/4*Phi1^7*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi7, 4*q-4], [1/4*q^4*Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7, 8], [1/4*Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 4*q-12], [1/4*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q-2], [1/4*q^4*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 4], [1/4*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 5/2*q-13/2], [1/4*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 2*q-2], [1/4*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q-1], [1/4*q^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 4], [1/4*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q-9/2], [1/2*Phi1^7*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi7, 1/2*(q-1)*(q+1)^2], [1/2*q^4*Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7, q-1], [1/2*Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/8*(q-1)*(5*q^2+10*q-7)], [1/2*Phi1^6*Phi2^2*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/3*q*(q-1)*(q+1)], [1/2*q^12*Phi1^4*Phi3*Phi5*Phi7, 2], [1/2*q^2*Phi1^5*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)*(q+1)], [1/2*Phi1^5*Phi2^3*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q+1)], [1/2*Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*(q-1)*(3*q^2-2*q-9)], [1/2*q^6*Phi1^4*Phi3*Phi4*Phi5*Phi7*Phi8, q-3], [1/2*q^4*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 3/2*q-7/2], [1/2*q^2*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 3/4*q^2-3*q+17/4], [1/2*Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/96*(q-1)*(25*q^2-86*q-3)], [1/2*Phi1^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi7*Phi8, 1/3*q*(q-1)*(q+1)], [1/2*Phi1^4*Phi2^4*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/3*q*(q-1)*(q+1)], [1/2*Phi1^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q+1)*(q-1)^2], [1/2*q^6*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi7*Phi8, q-1], [1/2*q^2*Phi1^3*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, (q-1)^2], [1/2*q^12*Phi5*Phi6*Phi7*Phi8, 2], [1/2*Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/24*(q-1)*(7*q^2-20*q+21)], [1/2*q^4*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, q-1], [1/2*q^6*Phi1*Phi2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q-1], [1/2*q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)*(3*q-5)], [1/2*Phi1^3*Phi2^3*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/8*(q-1)*(q^2-2*q-7)], [1/2*q^2*Phi1^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)*(q-3)], [1/2*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/16*(3*q-11)*(q-1)^2], [1/2*q^6*Phi2^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, q-3], [1/2*q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*(q-1)*(q-3)], [1/2*q^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/2*q-5/2], [1/2*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/24*(q-5)*(q-1)*(q-3)], [1/2*q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/4*(q-3)*(q-5)], [1/2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/96*(q-5)*(q-1)*(q-9)], [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, 1/4*(q-1)*(q+1)^2], [Phi1^6*Phi2^2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/32*(q-1)*(q^2-3)*(q^2+3)*(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, 1/2*q-1/2], [q^2*Phi1^5*Phi2*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/8*(q+1)*(q^2+q+1)*(q-1)^2], [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*(q-1)*(q^3-q^2-3)*(q+1)^2], [Phi1^5*Phi2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/32*(q+1)*(q^4-2*q^2-2*q-5)*(q-1)^2], [q^6*Phi1^4*Phi3*Phi4*Phi5*Phi7*Phi8, 1/4*(q-1)*(q^2-3)], [q^4*Phi1^4*Phi3^2*Phi5*Phi6*Phi7*Phi8, 1/8*(q-1)*(q^2-5)], [q^2*Phi1^4*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/16*(q-1)*(q^4-q^3-6*q^2-3*q+17)], [Phi1^4*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/384*(q-3)*(q^4+2*q^3-6*q^2-18*q-35)*(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+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+1)*(q^4-2*q^3+q^2-3*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^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+1)*(q^4-2*q^3-1)*(q-1)^2], [q^6*Phi1^3*Phi2*Phi3*Phi4*Phi5*Phi7*Phi8, 1/4*(q-1)*(q^2-2*q-1)], [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^3-q^2-2*q-1)*(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-3/2], [Phi1^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/96*(q-1)*(q-3)*(q^5-q^4-4*q^3+4*q^2+q+7)], [q^4*Phi1^2*Phi3^2*Phi4*Phi5*Phi6*Phi7*Phi8, 1/4*(q-1)*(q^2-2*q-1)], [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-1)*(q^2-2*q-1)], [q^2*Phi1^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/16*(q-1)*(q^4-3*q^3+q+5)], [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-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)*(q^2-5*q+3)*(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-2)*(q-3)*(q-4)], [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-15)*(q-1)^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-3)*(q^2-6*q+7)], [q^2*Phi1*Phi2*Phi3^2*Phi4^2*Phi5*Phi6*Phi7*Phi8, 1/8*(q-1)*(q-3)*(q^3-6*q^2+8*q-1)], [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-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-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-5)*(q-1)*(q-3)*(q^4-12*q^3+44*q^2-48*q-15)], [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^2-9*q+17)*(q-3)^2], [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-1)*(q-3)*(q-5)*(q-7)*(q-9)*(q^2-10*q+31)] ];