DegreesAndMultiplicitiesE6simple_1mod6 := [ [1,1], [q*Phi8*Phi9,1], [q^2*Phi4*Phi5*Phi8*Phi12,1], [q^4*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12,1], [q^5*Phi4*Phi5*Phi8*Phi9*Phi12,1], [q^6*Phi3^3*Phi6^2*Phi9*Phi12,1], [q^6*Phi4^2*Phi8*Phi9*Phi12,1], [q^10*Phi3^3*Phi6^2*Phi9*Phi12,1], [q^11*Phi4*Phi5*Phi8*Phi9*Phi12,1], [q^12*Phi4^2*Phi8*Phi9*Phi12,1], [q^13*Phi2^3*Phi4^2*Phi6^2*Phi8*Phi12,1], [q^20*Phi4*Phi5*Phi8*Phi12,1], [q^25*Phi8*Phi9,1], [q^36,1], [1/2*q^3*Phi4^2*Phi5*Phi9*Phi12,1], [1/2*q^3*Phi5*Phi6^2*Phi8*Phi9,1], [1/2*q^3*Phi5*Phi8*Phi9*Phi12,1], [1/2*q^3*Phi1^4*Phi3^2*Phi5*Phi9,1], [1/2*q^15*Phi4^2*Phi5*Phi9*Phi12,1], [1/2*q^15*Phi5*Phi6^2*Phi8*Phi9,1], [1/2*q^15*Phi5*Phi8*Phi9*Phi12,1], [1/2*q^15*Phi1^4*Phi3^2*Phi5*Phi9,1], [1/6*q^7*Phi2^4*Phi5*Phi8*Phi9*Phi12,1], [1/6*q^7*Phi4^2*Phi5*Phi6^2*Phi8*Phi9,1], [1/2*q^7*Phi4^2*Phi5*Phi8*Phi9*Phi12,1], [1/3*q^7*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [1/3*q^7*Phi3^3*Phi5*Phi6^2*Phi8*Phi12,1], [1/2*q^7*Phi1^4*Phi3^2*Phi5*Phi8*Phi9,1], [1/3*q^7*Phi1^6*Phi2^4*Phi4^2*Phi5*Phi8,1], [1/3*q^7*Phi1^6*Phi2^4*Phi4^2*Phi5*Phi8,1], [q^16*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12,1], [q^15*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12,1], [q^11*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1], [q^10*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1], [q^8*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12,1], [q^7*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12,1], [q^7*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [q^6*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [q^7*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1], [q^6*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1], [q^5*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1], [q^4*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1], [q^4*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [q^3*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [q^4*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1], [q^3*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1], [q^3*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12,1], [q^2*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12,1], [q^2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1], [q*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1], [q*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12,1], [Phi3*Phi4*Phi6*Phi8*Phi9*Phi12,1], [1/3*q^9*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [1/3*q^9*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [1/3*q^9*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [q^7*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [q^6*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [q^5*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [q^4*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [q^4*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [q^3*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [1/3*q^3*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [1/3*q^3*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [1/3*q^3*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [q^2*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [q*Phi2^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [1/3*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [1/3*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [1/3*Phi2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1], [Phi3^2*Phi6*Phi9*Phi12,1/3*q-4/3], [q*Phi3^2*Phi5*Phi6^2*Phi9*Phi12,1/3*q-4/3], [q^2*Phi3^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/3*q-4/3], [q^2*Phi3^2*Phi4*Phi6*Phi8*Phi9*Phi12,1/3*q-4/3], [1/2*q^3*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12,1/3*q-4/3], [1/2*q^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi9*Phi12,1/3*q-4/3], [1/2*q^3*Phi3^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3*q-4/3], [1/2*q^3*Phi1^4*Phi3^3*Phi5*Phi6*Phi9*Phi12,1/3*q-4/3], [q^4*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/3*q-4/3], [q^5*Phi3^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3*q-4/3], [q^6*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/3*q-4/3], [q^6*Phi3^3*Phi6^2*Phi8*Phi9*Phi12,1/3*q-4/3], [1/2*q^7*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12,1/3*q-4/3], [1/2*q^7*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi9*Phi12,1/3*q-4/3], [1/2*q^7*Phi3^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3*q-4/3], [1/2*q^7*Phi1^4*Phi3^3*Phi5*Phi6*Phi9*Phi12,1/3*q-4/3], [q^10*Phi3^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/3*q-4/3], [q^12*Phi3^2*Phi4*Phi6*Phi8*Phi9*Phi12,1/3*q-4/3], [q^13*Phi3^2*Phi5*Phi6^2*Phi9*Phi12,1/3*q-4/3], [q^20*Phi3^2*Phi6*Phi9*Phi12,1/3*q-4/3], [q^11*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [q^10*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [q^7*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [q^6*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [q^5*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [q^4*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [q^4*Phi2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [q^3*Phi2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [q^3*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [q^2*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [q^2*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [q*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [q*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12,1/3*q-7/3], [q^7*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^6*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^5*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^4*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^4*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^2*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q*Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [Phi2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-5/2], [q^7*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-1/2], [q^6*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-1/2], [q^3*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-1/2], [q^2*Phi1^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-1/2], [q*Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-1/2], [Phi1^3*Phi3^2*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-1/2], [q^8*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^7*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^7*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^6*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^5*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^4*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^4*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [q^8*Phi1^2*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12,1/6*q-1/6], [q^6*Phi1^2*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12,1/6*q-1/6], [q^5*Phi1^2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-1/6], [q^3*Phi1^2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-1/6], [q^4*Phi1^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/6*q-1/6], [q^2*Phi1^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/6*q-1/6], [q^3*Phi1^2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-1/6], [q*Phi1^2*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-1/6], [q^2*Phi1^2*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12,1/6*q-1/6], [Phi1^2*Phi3^3*Phi5*Phi6*Phi8*Phi9*Phi12,1/6*q-1/6], [q^15*Phi2*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12,1/2*q-3/2], [q^10*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-3/2], [q^7*Phi2*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12,1/2*q-3/2], [q^6*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-3/2], [q^6*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-3/2], [q^4*Phi2^4*Phi3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/2*q-3/2], [q^3*Phi2*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-3/2], [q^3*Phi2*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-3/2], [q^2*Phi2*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12,1/2*q-3/2], [q*Phi2*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-3/2], [Phi2*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12,1/2*q-3/2], [q^15*Phi1*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12,1/2*q-1/2], [q^10*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-1/2], [q^7*Phi1*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12,1/2*q-1/2], [q^6*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-1/2], [q^6*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-1/2], [q^4*Phi1*Phi2^3*Phi3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/2*q-1/2], [q^3*Phi1*Phi3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-1/2], [q^3*Phi1*Phi3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-1/2], [q^2*Phi1*Phi3^3*Phi4*Phi6^2*Phi8*Phi9*Phi12,1/2*q-1/2], [q*Phi1*Phi3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/2*q-1/2], [Phi1*Phi3*Phi4*Phi6*Phi8*Phi9*Phi12,1/2*q-1/2], [q^10*Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-4/3*q+19/6], [q^6*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-4/3*q+19/6], [q^4*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-4/3*q+19/6], [q^3*Phi2^2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-4/3*q+19/6], [q^2*Phi2^2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-4/3*q+19/6], [q*Phi2^3*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-4/3*q+19/6], [Phi2^2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-4/3*q+19/6], [q^10*Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2/3*q+1/2], [q^6*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2/3*q+1/2], [q^4*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2/3*q+1/2], [q^3*Phi1*Phi2*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2/3*q+1/2], [q^2*Phi1*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2/3*q+1/2], [q*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2/3*q+1/2], [Phi1*Phi2*Phi3^2*Phi4*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2/3*q+1/2], [q^5*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2*q+41/6], [q^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2*q+41/6], [q^4*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2*q+41/6], [q^3*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2*q+41/6], [q^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2*q+41/6], [q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2*q+41/6], [q^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2*q+41/6], [q*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2*q+41/6], [q^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2*q+41/6], [q*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2*q+41/6], [q*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2*q+41/6], [Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-2*q+41/6], [q^5*Phi1^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/6*q^2-1/3*q+1/6], [q^3*Phi1^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/6*q^2-1/3*q+1/6], [q^3*Phi1^4*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/6*q^2-1/3*q+1/6], [q*Phi1^4*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/6*q^2-1/3*q+1/6], [q^2*Phi1^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/6*q^2-1/3*q+1/6], [Phi1^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/6*q^2-1/3*q+1/6], [q^7*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-3/2*q+13/3], [q^6*Phi2*Phi3^2*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q^2-3/2*q+13/3], 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[q^2*Phi1^2*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/12*q^3-1/4*q^2+1/12*q+1/12], [q*Phi1^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/12*q^3-1/4*q^2+1/12*q+1/12], [Phi1^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/12*q^3-1/4*q^2+1/12*q+1/12], [q^2*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/144*q^4-7/48*q^3+167/144*q^2-659/144*q+77/9], [q*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/144*q^4-7/48*q^3+167/144*q^2-659/144*q+77/9], [q*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/144*q^4-7/48*q^3+167/144*q^2-659/144*q+77/9], [Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/144*q^4-7/48*q^3+167/144*q^2-659/144*q+77/9], [q^2*Phi1*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-3/8*q^3+31/24*q^2-47/24*q+1], [q*Phi1*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-3/8*q^3+31/24*q^2-47/24*q+1], [q*Phi1*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-3/8*q^3+31/24*q^2-47/24*q+1], [Phi1*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-3/8*q^3+31/24*q^2-47/24*q+1], [q^2*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/18*q^4-1/6*q^3+1/9*q^2+5/9*q-5/9], [q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/18*q^4-1/6*q^3+1/9*q^2+5/9*q-5/9], [q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/18*q^4-1/6*q^3+1/9*q^2+5/9*q-5/9], [Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/18*q^4-1/6*q^3+1/9*q^2+5/9*q-5/9], [q^2*Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-1/24*q^3-1/24*q^2+1/24*q], [q*Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-1/24*q^3-1/24*q^2+1/24*q], [q*Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-1/24*q^3-1/24*q^2+1/24*q], [Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-1/24*q^3-1/24*q^2+1/24*q], [q^2*Phi1^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/48*q^4-5/48*q^3+7/48*q^2-1/16*q], [q*Phi1^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/48*q^4-5/48*q^3+7/48*q^2-1/16*q], [q*Phi1^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/48*q^4-5/48*q^3+7/48*q^2-1/16*q], [Phi1^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/48*q^4-5/48*q^3+7/48*q^2-1/16*q], [q^2*Phi1^4*Phi2^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/18*q^4-1/18*q^3-2/9*q^2+2/9*q], [Phi1^4*Phi2^2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/18*q^4-1/18*q^3-2/9*q^2+2/9*q], [q^2*Phi1^3*Phi2^3*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-1/8*q^3+1/24*q^2+1/8*q-1/12], [Phi1^3*Phi2^3*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-1/8*q^3+1/24*q^2+1/8*q-1/12], [q^2*Phi1^2*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/48*q^4-7/48*q^3+13/48*q^2-1/48*q-1/8], [Phi1^2*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/48*q^4-7/48*q^3+13/48*q^2-1/48*q-1/8], [q^2*Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-1/8*q^3-1/8*q^2+11/24*q-1/4], [Phi1^3*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-1/8*q^3-1/8*q^2+11/24*q-1/4], [q^2*Phi1^4*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/144*q^4-7/144*q^3+5/144*q^2+31/144*q-5/24], [Phi1^4*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/144*q^4-7/144*q^3+5/144*q^2+31/144*q-5/24], [q^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/216*q^4-19/216*q^3+23/36*q^2-493/216*q+805/216], [q*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/216*q^4-19/216*q^3+23/36*q^2-493/216*q+805/216], [Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/216*q^4-19/216*q^3+23/36*q^2-493/216*q+805/216], [q^3*Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/36*q^4-1/4*q^3+5/6*q^2-43/36*q+7/12], [q*Phi1*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/36*q^4-1/4*q^3+5/6*q^2-43/36*q+7/12], [Phi1*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/36*q^4-1/4*q^3+5/6*q^2-43/36*q+7/12], [q^3*Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/54*q^4-2/27*q^3+1/18*q^2+10/27*q-10/27], [q*Phi1^2*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/54*q^4-2/27*q^3+1/18*q^2+10/27*q-10/27], [Phi1^2*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/54*q^4-2/27*q^3+1/18*q^2+10/27*q-10/27], [q^3*Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/18*q^4-1/6*q^2+1/9*q], [q*Phi1^3*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/18*q^4-1/6*q^2+1/9*q], [Phi1^3*Phi2^2*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/18*q^4-1/6*q^2+1/9*q], [q^3*Phi1^4*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/54*q^4+1/27*q^3-1/9*q^2-7/54*q+5/27], [q*Phi1^4*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/54*q^4+1/27*q^3-1/9*q^2-7/54*q+5/27], [Phi1^4*Phi2^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/54*q^4+1/27*q^3-1/9*q^2-7/54*q+5/27], [q^3*Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-1/8*q^3+1/12*q^2-1/24*q+1/24], [q*Phi1^2*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-1/8*q^3+1/12*q^2-1/24*q+1/24], [Phi1^2*Phi2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^4-1/8*q^3+1/12*q^2-1/24*q+1/24], [q^3*Phi1^4*Phi2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/12*q^4-1/12*q^3+1/12*q-1/12], [q*Phi1^5*Phi2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/12*q^4-1/12*q^3+1/12*q-1/12], [Phi1^4*Phi2*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/12*q^4-1/12*q^3+1/12*q-1/12], [q^3*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi9*Phi12,1/18*q^4-1/18*q], [q*Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi9*Phi12,1/18*q^4-1/18*q], [Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi8*Phi9*Phi12,1/18*q^4-1/18*q], [q^3*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/36*q^4-1/12*q^3+5/36*q-1/12], [q*Phi1^4*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/36*q^4-1/12*q^3+5/36*q-1/12], [Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/36*q^4-1/12*q^3+5/36*q-1/12], [q*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2160*q^5-1/72*q^4+23/144*q^3-395/432*q^2+1009/360*q-581/144], [Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2160*q^5-1/72*q^4+23/144*q^3-395/432*q^2+1009/360*q-581/144], [q*Phi1*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/144*q^5-7/72*q^4+71/144*q^3-173/144*q^2+13/9*q-31/48], [Phi1*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/144*q^5-7/72*q^4+71/144*q^3-173/144*q^2+13/9*q-31/48], [q*Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/54*q^5-1/9*q^4+1/6*q^3+1/27*q^2-5/9*q+4/9], [Phi1^2*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/54*q^5-1/9*q^4+1/6*q^3+1/27*q^2-5/9*q+4/9], [q*Phi1^3*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^5-1/12*q^4-1/24*q^3+1/8*q^2-1/24], [Phi1^3*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^5-1/12*q^4-1/24*q^3+1/8*q^2-1/24], [q*Phi1^2*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/48*q^5-1/8*q^4+3/16*q^3+1/48*q^2-1/24*q-1/16], [Phi1^2*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/48*q^5-1/8*q^4+3/16*q^3+1/48*q^2-1/24*q-1/16], [q*Phi1^4*Phi2^3*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/15*q^5-1/15*q], [Phi1^4*Phi2^3*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/15*q^5-1/15*q], [q*Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/18*q^5-1/9*q^4-1/18*q^3+2/9*q^2-1/9*q], [Phi1^3*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/18*q^5-1/9*q^4-1/18*q^3+2/9*q^2-1/9*q], [q*Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/18*q^5+1/18*q^3-1/18*q^2-1/6*q+1/9], [Phi1^5*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/18*q^5+1/18*q^3-1/18*q^2-1/6*q+1/9], [q*Phi1^4*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^5-1/12*q^4+1/24*q^3+1/24*q^2-1/12*q+1/24], [Phi1^4*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/24*q^5-1/12*q^4+1/24*q^3+1/24*q^2-1/12*q+1/24], [q*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/54*q^5-1/18*q^3-1/54*q^2-1/18*q+1/9], [Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/54*q^5-1/18*q^3-1/54*q^2-1/18*q+1/9], [q*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/144*q^5-1/24*q^4+7/144*q^3+11/144*q^2-1/6*q+11/144], [Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/144*q^5-1/24*q^4+7/144*q^3+11/144*q^2-1/6*q+11/144], [1/3*q*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [1/3*q*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [1/3*q*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [1/3*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [1/3*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [1/3*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/6*q-7/6], [1/3*q*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-1/2], [1/3*q*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-1/2], [1/3*q*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-1/2], [1/3*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-1/2], [1/3*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-1/2], [1/3*Phi1^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/2*q-1/2], [1/3*q*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3*q-1/3], [1/3*q*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3*q-1/3], [1/3*q*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3*q-1/3], [1/3*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3*q-1/3], [1/3*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3*q-1/3], [1/3*Phi1^4*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3*q-1/3], [Phi2^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/155520*q^6-7/25920*q^5+47/10368*q^4-301/7776*q^3+8993/51840*q^2-9443/25920*q+7007/31104], [Phi1^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/3456*q^6-5/1728*q^5+25/3456*q^4+5/864*q^3-149/3456*q^2+91/1728*q-23/1152], [Phi1^2*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/576*q^6-5/288*q^5+29/576*q^4-1/72*q^3-19/192*q^2+1/32*q+3/64], [Phi1^6*Phi2^4*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/1944*q^6+1/648*q^5-1/324*q^4-17/1944*q^3-13/648*q^2-5/324*q+11/243], [Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/648*q^6-1/72*q^5+1/24*q^4-23/648*q^3-1/18*q^2+1/9*q-4/81], [Phi1^4*Phi2^4*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/324*q^6-1/108*q^5-1/108*q^4-1/162*q^3+1/27*q^2+19/108*q-31/162], [Phi1^4*Phi2^4*Phi3^3*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/288*q^6-1/144*q^5-1/96*q^4+1/36*q^3-1/288*q^2-1/48*q+1/96], [Phi1^4*Phi2^2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/48*q^6-1/24*q^5-1/48*q^4+1/24*q^3-1/16*q^2+1/16], [Phi1^4*Phi2^4*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/30*q^6-1/15*q^5-1/30*q^2+1/15*q], [Phi1^6*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi8*Phi9*Phi12,1/216*q^6-1/216*q^5-1/108*q^4-1/216*q^3-11/216*q^2+7/108*q], [Phi1^4*Phi2^2*Phi3^3*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/108*q^6-1/108*q^5-5/108*q^4+5/108*q^3+1/27*q^2-1/27*q], [Phi1^6*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/108*q^6-1/108*q^5+1/108*q^4-1/27*q^3-1/54*q^2+11/108*q-1/18], [Phi1^4*Phi2^2*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/72*q^6-1/72*q^5-1/72*q^4+1/72*q^3], [Phi1^6*Phi2^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi12,1/27*q^6+1/27*q^3-2/27], [Phi1^6*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9,1/36*q^6+1/36*q^5-1/36*q^3-1/36*q^2], [Phi1*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/4320*q^6-1/216*q^5+31/864*q^4-29/216*q^3+1019/4320*q^2-17/108*q+7/288], [Phi1^3*Phi2*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/288*q^6-1/72*q^5-1/288*q^4+1/18*q^3-17/288*q^2+1/72*q+1/288], [Phi1^5*Phi2*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/288*q^6-1/72*q^5+5/288*q^4-1/144*q^3-1/96*q^2+1/48*q-1/96], [Phi1^3*Phi2^3*Phi3^3*Phi4*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/96*q^6-1/24*q^5+1/96*q^4+5/48*q^3-7/96*q^2-1/16*q+5/96], [Phi1^3*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/108*q^6-5/108*q^5+5/108*q^4+5/108*q^3-5/54*q^2+1/27*q], [Phi1^5*Phi2^3*Phi3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/108*q^6+1/108*q^5-1/108*q^4-1/27*q^3-1/27*q^2+13/108*q-1/18], [Phi1^5*Phi2^3*Phi3^2*Phi4^2*Phi5*Phi6*Phi8*Phi9*Phi12,1/36*q^6-1/36*q^5-1/36*q^4-1/18*q^3-1/18*q^2+7/36*q-1/18], [Phi1^5*Phi2^3*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi9*Phi12,1/24*q^6-1/24*q^4-1/24*q^2+1/24], [Phi1^5*Phi2^3*Phi3^3*Phi4^2*Phi6^2*Phi8*Phi9*Phi12,1/30*q^6-1/30*q^2], [Phi1^5*Phi2^3*Phi3^3*Phi4*Phi5*Phi6*Phi8*Phi9*Phi12,1/36*q^6-1/36*q^5-1/36*q^4+1/36*q^3], [1/3*Phi2^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/36*q^2-7/18*q+49/36], [1/3*Phi2^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/36*q^2-7/18*q+49/36], [1/3*Phi2^4*Phi3^3*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/36*q^2-7/18*q+49/36], [1/3*Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/18*q^2+1/18*q-1/9], [1/3*Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/18*q^2+1/18*q-1/9], [1/3*Phi1^2*Phi2^4*Phi3^2*Phi4^2*Phi5*Phi6^2*Phi8*Phi9*Phi12,1/18*q^2+1/18*q-1/9], 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