DegreesAndMultiplicitiesD4sc_1mod4 := [ [1, 1], [q*(q^2+1)^2, 1], [1/2*(q^2+q+1)*(q^2+1)*(q-1)^2, 6], [1/2*(q^2-q+1)*(q^2+1)*(q+1)^2, 6], [(q^2+q+1)*(q^2+1)*(q-1)^2, 3/2*q-3/2], [q^2*(q^2+q+1)*(q^2-q+1), 3], [(q^2-q+1)*(q^2+1)*(q+1)^2, 3/2*q-9/2], [1/4*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 12], [1/4*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 4], [1/2*q^3*(q^2+q+1)*(q-1)^4, 1], [1/2*q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2, 6], [1/2*q^3*(q^2-q+1)*(q^2+1)^2, 1], [1/2*q^3*(q^2+q+1)*(q^2+1)^2, 1], [1/2*q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, 6], [1/2*q^3*(q^2-q+1)*(q+1)^4, 1], [(q^2+q+1)*(q^2+1)^2*(q-1)^3, 1/2*q*(q-1)], [q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2, 3/2*q-3/2], [(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 1/2*q-1/2], [q*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 1], [(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 1/2*q-3/2], [q*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, 3/2*q-9/2], [(q^2-q+1)*(q^2+1)^2*(q+1)^3, 1/2*(q-2)*(q-3)], [1/2*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 3*q-3], [1/2*q^2*(q^2+q+1)*(q-1)^2*(q^2+1)^2, 6], [1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 6], [1/2*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 6*q-12], [1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 6], [1/2*q^2*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 6], [1/2*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 3*q-9], [(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 3/8*(q-1)*(q-3)], [q^2*(q^2+q+1)*(q-1)^2*(q^2+1)^2, 3/2*q-3/2], [q*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 3/2*q-3/2], [(q^2+q+1)*(q^2-q+1)*(q-1)^3*(q+1)^3, 3/4*(q-1)*(q+1)], [(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 3/4*(q-1)*(q-3)], [q^6*(q^2+q+1)*(q^2-q+1), 3], [(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 3/4*(q-1)^2], [q^2*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 3/2*q-9/2], [q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 3/2*q-9/2], [(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 3/8*(q-3)*(q-5)], [1/4*(q+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 12], [1/4*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 4], [1/2*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, 3/2*q-3/2], [1/2*q^3*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2, 6], [1/2*(q+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 9/2*q-21/2], [1/2*(q-1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 9/2*q-9/2], [1/2*q^3*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, 6], [1/2*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 3/2*q-15/2], [q*(q^2+q+1)*(q^2+1)^2*(q-1)^4, 1/2*q*(q-1)], [(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, 1/8*(q-1)*(q^2-3*q-2)], [q^3*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2, 3/2*q-3/2], [q*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 3/4*(q-1)^2], [(q+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 3/8*(q-1)*(q^2-q-4)], [q^2*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 3/2*q-3/2], [q*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 3/2*(q-1)^2], [q^7*(q^2+1)^2, 1], [q^3*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 1], [(q-1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 3/8*(q-1)*(q^2-3*q-2)], [q^2*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 3/2*q-9/2], [q^3*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2, 3/2*q-9/2], [q*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 3/4*(q-3)^2], [q*(q^2-q+1)*(q^2+1)^2*(q+1)^4, 1/2*(q-2)*(q-3)], [(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 1/8*(q-5)*(q-1)*(q-4)], [1/4*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^4, q-1], [1/4*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, 4*q-4], [1/4*q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 12], [1/4*q^4*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 12], [1/4*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 6*q-18], [1/4*q^4*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 4], [1/4*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 4*q-4], [1/4*q*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 4], [1/4*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^4, q-5], [1/2*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^4, 3/8*(q-1)*(q-5)], [1/2*q*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, 3/2*q-3/2], [1/2*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, 3/2*(q-1)*(q-2)], [1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 3*q-3], [1/2*q^6*(q^2+q+1)*(q^2+1)*(q-1)^2, 6], [1/2*q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 9/2*q-21/2], [1/2*(q^2+q+1)*(q^2-q+1)*(q-1)^4*(q+1)^4, 3/2*(q-1)*(q+1)], [1/2*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^3*(q+1)^3, 3*(q-1)*(q+1)], [1/2*q^2*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 6*q-12], [1/2*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 3/4*(5*q-9)*(q-3)], [1/2*q^6*(q^2-q+1)*(q^2+1)*(q+1)^2, 6], [1/2*q*(q-1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 9/2*q-9/2], [1/2*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 3/2*(q-1)*(q-4)], [1/2*q^2*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 3*q-9], [1/2*q*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 3/2*q-15/2], [1/2*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^4, 3/8*(q-5)^2], [(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^4, 1/192*(q+3)*(q-1)*(q-5)^2], [q*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, 1/8*(q-1)*(q^2-3*q-2)], [q^3*(q^2+q+1)*(q^2+1)^2*(q-1)^3, 1/2*q*(q-1)], [(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, 1/16*(q^2-7)*(q-1)^2], [q^2*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 3/8*(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, 3/2*q-3/2], [q*(q+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2, 3/8*(q-1)*(q^2-q-4)], [q^3*(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 1/2*q-1/2], [(q^2+q+1)*(q^2-q+1)*(q-1)^4*(q+1)^4, 1/16*(q-1)*(q+3)*(q-3)*(q+1)], [q^2*(q^2+q+1)*(q^2-q+1)*(q-1)^3*(q+1)^3, 3/4*(q-1)*(q+1)], [(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^3*(q+1)^3, 3/8*(q-1)*(q+1)*(q^2-3)], [q^2*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2, 3/4*(q-1)*(q-3)], [q^12, 1], [(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+1)^2, 3/32*(q-1)*(q-3)*(q^2-13)], [q^2*(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 3/4*(q-1)^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, 3/2*q-9/2], [q*(q-1)*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 3/8*(q-1)*(q^2-3*q-2)], [q^3*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2, 1/2*q-3/2], [(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 1/16*(q-1)*(q^3-5*q^2+q+19)], [q^3*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 1/2*(q-2)*(q-3)], [q^2*(q^2+q+1)*(q^2-q+1)*(q+1)^2*(q^2+1)^2, 3/8*(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-1)*(q-4)], [(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^4, 1/192*(q-5)*(q^3-11*q^2+19*q+39)] ];