DegreesAndMultiplicitiesA5f3_1mod6 := [ [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], [1/2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^3, 6], [1/2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 6], [(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^3, 3/2*q-3/2], [(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-9/2], [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)], [1/2*q^2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^3, 6], [1/2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, q-7], [1/2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2*(q^2+q+1)^2, q-1], [1/2*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, q-1], [1/2*q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3, 6], [1/2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, q-7], [q^2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q-1)^3, 3/2*q-3/2], [(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^2-7)], [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-1)*(q^2-2*q-1)], [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-1)*(q^2-2*q-1)], [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-9/2], [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)*(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-3)*(q^2-6*q+11)], [(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)], [1/2*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q-1)^5, 2/3*(q+2)*(q-1)], [1/2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^3*(q-1)^4, 2/3*(q+2)*(q-1)], [1/2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^4, 1/2*(q-1)*(q+1)], [1/2*q^6*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^3, 6], [1/2*q^2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)^2*(q-1)^3, q-7], [1/2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q-1)^3, 7/12*q^2-5/3*q+37/12], [1/2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^3, 1/2*(q-1)*(q+1)], [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, q-1], [1/2*(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, 1/4*(q-1)*(3*q-5)], [1/2*q^6*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1), 6], [1/2*q^2*(q-1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, q-1], [1/2*(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, 1/4*(q-1)*(q-3)], [1/2*q^2*(q+1)*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2, q-7], [1/2*(q^2-q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q^2+q+1)^2*(q+1)^3, 1/12*q^2-2/3*q+31/12], [(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, 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^2-6*q-10)], [(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, 3/2*q-3/2], [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^2-7)], [(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-1)*(q^4-q^3-6*q^2-7*q+37)], [(q^2-q+1)*(q^2+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-1)*(q+1)*(q^3-2*q^2-1)], [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-1)*(q^2-2*q-1)], [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-1)*(q^4-3*q^3+q+5)], [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-9/2], [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-1)*(q^2-2*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, 1/18*(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-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-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-3)*(q^2-6*q+11)], [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-7)*(q^4-13*q^3+64*q^2-147*q+215)] ];