DegreesAndMultiplicitiesA5f3_4mod6 := [ [1, 3], [q*(q^4+q^3+q^2+q+1), 3], [(q+1)*(q^2+q+1)*(q^2-q+1), q-4], [q^2*(q^2-q+1)*(q^2+q+1)^2, 3], [(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-4], [(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^3, 3/2*q], [(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 1/2*q*(q-1)], [q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1), 3], [q^3*(q^2+1)*(q^4+q^3+q^2+q+1), 3], [q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-4], [(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 3/2*q-3], [q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, q-4], [(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 1/2*q^2-5/2*q+5], [q^4*(q^2-q+1)*(q^2+1)*(q+1)^3, 3], [q^2*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-4], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, 3*q-6], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q-4], [(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), (q-3)*(q-4)], [(q^2+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 1/3*(q+2)*(q-1)], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q+1)^2, 1/3*(q+2)*(q-1)^2], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)], [q^6*(q^2-q+1)*(q^4+q^3+q^2+q+1), 3], [q*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*q*(q-1)], [(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q*(q-1)*(q-2)], [q^6*(q^2+1)*(q^4+q^3+q^2+q+1), 3], [q^3*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 3*q-6], [q^2*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), q-4], [q^3*(q+1)*(q^2-q+1)*(q^2+1)*(q^2+q+1)^2, q-4], [q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q-4], [q*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), (q-3)*(q-4)], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/6*q^2-5/6*q+5/3], [q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*q^2-5/2*q+5], [(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, 1/6*(q-4)*(q^2-5*q+10)], [q^2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^3, 3/2*q], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*q*(q+2)*(q-3)], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)], [q^2*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q*(q-1)], [(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/4*q*(q-1)*(q-2)], [q^7*(q^2-q+1)*(q^2+q+1)^2, 3], [(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/4*q*(q-1)*(q-2)], [q^3*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), q-4], [q^4*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-4], [q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q-4], [q^2*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q^2-5/2*q+5], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/2*q^2-5/2*q+5], [q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3, 3/2*q-3], [q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, (q-3)*(q-4)], [(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/4*(q-4)*(q^2-5*q+10)], [(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*q^2*(q-1)*(q+1)], [q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q^2+q+1)^2, 1/8*q*(q-1)*(q-2)*(q+1)], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q+1)^3, 1/3*(q+2)*(q-1)^2], [(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q+1)^2, 1/3*(q^2-2)*(q-1)^2], [q^10*(q^4+q^3+q^2+q+1), 3], [q^3*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*q*(q-1)], [q^6*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-4], [q*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/2*q*(q-1)*(q-2)], [q*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, 1/2*q*(q-1)*(q-2)], [q^6*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, q-4], [q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, 3*q-6], [(q-1)*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/4*q*(q-1)*(q-2)*(q-3)], [q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, q-4], [q^3*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), (q-3)*(q-4)], [q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/2*q^2-5/2*q+5], [q^3*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*q^2-5/2*q+5], [q^2*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, (q-3)*(q-4)], [q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/2*(q-4)*(q^2-5*q+10)], [q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3, 1/6*(q-4)*(q^2-5*q+10)], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q^2+q+1)^2, 1/24*(q-4)*(q^3-10*q^2+31*q-46)], [(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q-1)^5, 1/6*q*(q-1)*(q^3+2*q^2+3*q+3)], [q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 1/3*(q+2)*(q-1)], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3*(q-1)^4, 1/18*(q-1)*(q^4+2*q^3+q^2-3*q-4)], [(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 1/8*q^3*(q-1)*(q+1)], [q^6*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^3, 3/2*q], [q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*q*(q+2)*(q-3)], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q-1)^3, 1/48*q*(q^4-2*q^3-5*q^2+6*q+24)], [(q^2+1)*(q^2-q+1)*(q^2+q+1)^2*(q+1)^3*(q-1)^4, 1/5*q*(q-1)*(q+1)*(q^2+1)], [q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*q^2*(q-1)*(q+1)], [(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q-1)^3, 1/6*q^2*(q+1)*(q-1)^2], [q^15, 3], [q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q+1)^2, 1/3*(q+2)*(q-1)^2], [q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/2*q*(q-1)], [q^6*(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 1/2*q*(q-1)], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q^2+q+1)^2, 1/8*q*(q-1)*(q-2)*(q+1)], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/8*q^2*(q-1)*(q-2)*(q+1)], [q^2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, 1/4*q*(q-1)*(q-2)], [q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q+1)^2, 1/3*(q^2-2)*(q-1)^2], [q^10*(q+1)*(q^2+q+1)*(q^2-q+1), q-4], [(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q^2+q+1)^2, 1/16*q*(q-1)*(q+1)*(q-2)^2], [q^3*(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q*(q-1)*(q-2)], [q^7*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-4], [q^6*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 3/2*q-3], [q^2*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/4*q*(q-1)*(q-2)], [(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q+1)^3, 1/18*(q^2-2*q-4)*(q-1)^3], [q^6*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 1/2*q^2-5/2*q+5], [q*(q-1)*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/4*q*(q-1)*(q-2)*(q-3)], [q^4*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), (q-3)*(q-4)], [q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/6*q^2-5/6*q+5/3], [(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q^2+q+1)^2, 1/48*q*(q-1)*(q-2)*(q-3)*(q-4)], [q^3*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, 1/6*(q-4)*(q^2-5*q+10)], [q^2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/4*(q-4)*(q^2-5*q+10)], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q^2+q+1)^2, 1/24*(q-4)*(q^3-10*q^2+31*q-46)], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q+1)^3, 1/720*(q-4)*(q^4-16*q^3+91*q^2-216*q+260)] ];