DegreesAndMultiplicitiesA5f2_1mod6 := [ [1, 2], [q*(q^4+q^3+q^2+q+1), 2], [(q+1)*(q^2+q+1)*(q^2-q+1), q-3], [q^2*(q^2-q+1)*(q^2+q+1)^2, 2], [(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 2*q-4], [(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^3, 1/2*q-1/2], [(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 1/2*(q-1)^2], [q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1), 2], [q^3*(q^2+1)*(q^4+q^3+q^2+q+1), 2], [q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 2*q-4], [(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q-3/2], [q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, q-3], [(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 1/2*(q-3)^2], [q^4*(q^2-q+1)*(q^2+1)*(q+1)^3, 2], [q^2*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-3], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, q-3], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 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)^2], [1/3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 12], [1/3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 6], [(q^2+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 2/3*(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*(q-1)*(q+1)], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, q*(q-1)], [q^6*(q^2-q+1)*(q^4+q^3+q^2+q+1), 2], [q*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-1)^2], [(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-1)^3], [q^6*(q^2+1)*(q^4+q^3+q^2+q+1), 2], [q^3*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), q-3], [q^2*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 2*q-4], [q^3*(q+1)*(q^2-q+1)*(q^2+1)*(q^2+q+1)^2, q-3], [q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 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)^2], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/3*(q-1)*(q-4)], [q*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-3)^2], [(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-3)*(q^2-6*q+11)], [q^2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^3, 1/2*q-1/2], [(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, 1/4*(q-1)*(q-2)*(q+1)], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+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-1)^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-3)], [q^7*(q^2-q+1)*(q^2+q+1)^2, 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-2)*(q-1)^2], [q^3*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 2*q-4], [q^4*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), q-3], [q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 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-3)^2], [q*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, (q-2)*(q-3)], [q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3, 1/2*q-3/2], [q*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, (q-3)^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-3)^2], [(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-1)^2*(q+1)^2], [q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+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-1)*(q+1)*(q^2-2*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*(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)^2, 1/3*q*(q-1)*(q-2)*(q+1)], [q^10*(q^4+q^3+q^2+q+1), 2], [q^3*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 1/2*(q-1)^2], [q^6*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 2*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-2)*(q-1)^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-1)^3], [q^6*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, q-3], [q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2, q-3], [(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-3)*(q-1)^3], [q^4*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2, 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)^2], [q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, (q-2)*(q-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-3)^2], [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)^2], [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-3)^2], [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-3)*(q^2-6*q+11)], [(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-5)*(q-3)*(q^2-6*q+11)], [1/3*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q-1)^5, 3*q-3], [1/3*q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 12], [1/3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3*(q-1)^4, 2*q-8], [1/3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q-1)^3, 3/2*q-3/2], [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)^3, 2*q-2], [1/3*q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 6], [1/3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q+1)^3, 1/2*q-7/2], [(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q-1)^5, 1/6*(q-1)*(q^4+2*q^3+3*q^2+2*q-2)], [q^3*(q^2+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q-1)^4, 2/3*(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+2)*(q-1)*(q^3+q-8)], [(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-1)*(q^2-q+1)*(q+1)^2], [q^6*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^3, 1/2*q-1/2], [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-1)*(q-2)*(q+1)], [(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^3-6*q-1)*(q-1)^2], [(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-1)^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)^3, 1/6*q^2*(q+1)*(q-1)^2], [q^15, 2], [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*(q-1)*(q+1)], [q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+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-1)^2], [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-1)*(q+1)*(q^2-2*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+1)*(q^2-q-1)*(q-1)^2], [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-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+1)^2, 1/3*q*(q-1)*(q-2)*(q+1)], [q^10*(q+1)*(q^2+q+1)*(q^2-q+1), q-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, 1/16*(q-1)*(q+1)*(q^3-4*q^2+4*q+1)], [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-1)^3], [q^7*(q^2-q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1), 2*q-4], [q^6*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 1/2*q-3/2], [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-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)^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-3)^2], [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-3)*(q-1)^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)^2], [q^3*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, 1/3*(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, 1/48*(q-3)*(q^2-5*q+3)*(q-1)^2], [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-3)*(q^2-6*q+11)], [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-3)^2], [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-5)*(q-3)*(q^2-6*q+11)], [(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-1)*(q-7)*(q^3-12*q^2+52*q-95)] ];