DegreesAndMultiplicitiesD4SO_1mod2 := [ [1, 2], [q*(q^2+1)^2, 2], [1/2*(q^2+q+1)*(q^2+1)*(q-1)^2, 4], [1/2*(q^2-q+1)*(q^2+1)*(q+1)^2, 4], [(q^2+q+1)*(q^2+1)*(q-1)^2, 2*q-2], [q^2*(q^2+q+1)*(q^2-q+1), 6], [(q^2-q+1)*(q^2+1)*(q+1)^2, 2*q-6], [1/2*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 2], [1/2*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 2], [1/2*q^3*(q^2+q+1)*(q-1)^4, 2], [1/2*q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2, 4], [1/2*q^3*(q^2-q+1)*(q^2+1)^2, 2], [1/2*q^3*(q^2+q+1)*(q^2+1)^2, 2], [1/2*q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, 4], [1/2*q^3*(q^2-q+1)*(q+1)^4, 2], [(q^2+q+1)*(q^2+1)^2*(q-1)^3, 1/2*(q-1)^2], [q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2, 2*q-2], [(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, q-1], [q*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 2], [(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, q-3], [q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, 2*q-6], [(q^2-q+1)*(q^2+1)^2*(q+1)^3, 1/2*(q-3)^2], [1/2*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 2*q-2], [1/2*q^2*(q^2+q+1)*(q-1)^2*(q^2+1)^2, 4], [1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 4], [1/2*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 4*q-8], [1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 4], [1/2*q^2*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 4], [1/2*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 2*q-6], [(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 1/2*(q-1)*(q-3)], [q^2*(q^2+q+1)*(q-1)^2*(q^2+1)^2, 2*q-2], [q*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 3*q-3], [(q^2+q+1)*(q^2-q+1)*(q-1)^3*(q+1)^3, (q-1)*(q+1)], [(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, (q-1)*(q-2)], [q^6*(q^2+q+1)*(q^2-q+1), 6], [(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, (q-1)*(q-2)], [q^2*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 2], [q^2*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 2*q-6], [q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 3*q-9], [(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 1/2*(q-3)*(q-5)], [1/2*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, q-1], [1/2*q^3*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2, 4], [1/2*(q+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, q-3], [1/2*(q-1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, q-1], [1/2*q^3*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, 4], [1/2*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, q-3], [q*(q^2+q+1)*(q^2+1)^2*(q-1)^4, 1/2*(q-1)^2], [(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, 1/8*(q-3)*(q-1)^2], [q^3*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2, 2*q-2], [q*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, (q-1)*(q-2)], [(q+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 1/8*(q-1)*(3*q^2-6*q-1)], [q^2*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 3*q-3], [q*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 2*(q-1)*(q-2)], [q^7*(q^2+1)^2, 2], [q^3*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 2], [(q-1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 3/8*(q-3)*(q-1)^2], [q^2*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 3*q-9], [q^3*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, 2*q-6], [q*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, (q-3)*(q-4)], [q*(q^2-q+1)*(q^2+1)^2*(q+1)^4, 1/2*(q-3)^2], [(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 1/8*(q-5)*(q-3)^2], [1/2*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^4, 1/4*(q-1)*(q-3)], [1/2*q*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, q-1], [1/2*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, 1/2*(q-1)^2], [1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 2*q-2], [1/2*q^6*(q^2+q+1)*(q^2+1)*(q-1)^2, 4], [1/2*q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, q-3], [1/2*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^3*(q+1)^3, (q-1)*(q+1)], [1/2*q^4*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 2], [1/2*q^2*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 4*q-8], [1/2*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/2*(3*q-5)*(q-3)], [1/2*q^4*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 2], [1/2*q^6*(q^2-q+1)*(q^2+1)*(q+1)^2, 4], [1/2*q*(q-1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, q-1], [1/2*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 1/2*(q-1)^2], [1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 2*q-6], [1/2*q*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, q-3], [1/2*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^4, 1/4*(q-3)*(q-5)], [(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^4, 1/192*(q-5)*(q-1)*(q-3)*(q+1)], [q*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, 1/8*(q-3)*(q-1)^2], [q^3*(q^2+q+1)*(q^2+1)^2*(q-1)^3, 1/2*(q-1)^2], [(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, 1/16*(q+1)*(q-1)^3], [q^2*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 1/2*(q-1)*(q-3)], [(q^2+q+1)*(q+1)^2*(q^2+1)^2*(q-1)^4, 1/6*q*(q-1)*(q+1)^2], [q^6*(q^2+q+1)*(q^2+1)*(q-1)^2, 2*q-2], [q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 1/8*(q-1)*(3*q^2-6*q-1)], [q^3*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, q-1], [(q^2+q+1)*(q^2-q+1)*(q-1)^4*(q+1)^4, 1/16*(q-1)*(q+1)*(q^2-5)], [q^2*(q^2+q+1)*(q^2-q+1)*(q-1)^3*(q+1)^3, (q-1)*(q+1)], [(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^3*(q+1)^3, 1/8*(q-1)*(q+1)*(3*q^2-7)], [q^2*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, (q-1)*(q-2)], [q^12, 2], [(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 1/32*(q-1)*(q-3)*(3*q^2-19)], [q^2*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, (q-1)*(q-2)], [(q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, 1/6*q*(q+1)*(q-1)^2], [q^6*(q^2-q+1)*(q^2+1)*(q+1)^2, 2*q-6], [q*(q-1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 3/8*(q-3)*(q-1)^2], [q^3*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, q-3], [(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 1/16*(q-3)*(q-1)^3], [q^3*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 1/2*(q-3)^2], [q^2*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 1/2*(q-3)*(q-5)], [q*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 1/8*(q-5)*(q-3)^2], [(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^4, 1/192*(q-5)*(q-1)*(q-7)*(q-3)] ];