# # Complete list of binary normal (irreducible) polynomials # up to degree 13. # Non-primitive polynomials are marked with an "X". #. # Generated by Joerg Arndt, 2005-January-26 # 2,1,0 3,2,0 4,3,0 4,3,2,1,0 X 5,4,2,1,0 5,4,3,1,0 5,4,3,2,0 6,5,0 6,5,2,1,0 6,5,4,1,0 6,5,4,2,0 X 7,6,0 7,6,3,1,0 7,6,4,1,0 7,6,4,2,0 7,6,5,2,0 7,6,5,3,2,1,0 7,6,5,4,2,1,0 8,7,2,1,0 8,7,3,1,0 X 8,7,3,2,0 8,7,4,3,2,1,0 X 8,7,5,1,0 X 8,7,5,3,0 8,7,5,4,0 X 8,7,5,4,3,2,0 X 8,7,6,1,0 8,7,6,3,2,1,0 8,7,6,4,2,1,0 X 8,7,6,4,3,2,0 X 8,7,6,5,2,1,0 8,7,6,5,4,1,0 X 8,7,6,5,4,2,0 8,7,6,5,4,3,0 X 9,8,0 X 9,8,4,1,0 9,8,4,2,0 9,8,4,3,2,1,0 9,8,5,4,0 9,8,5,4,3,1,0 9,8,6,3,0 X 9,8,6,3,2,1,0 9,8,6,4,3,1,0 9,8,6,5,3,1,0 9,8,6,5,3,2,0 9,8,6,5,4,1,0 9,8,7,2,0 9,8,7,3,2,1,0 9,8,7,5,4,3,0 9,8,7,6,2,1,0 9,8,7,6,3,1,0 9,8,7,6,4,2,0 9,8,7,6,4,3,0 9,8,7,6,5,1,0 9,8,7,6,5,4,3,1,0 10,9,4,1,0 10,9,4,2,0 10,9,5,1,0 X 10,9,5,2,0 10,9,5,4,0 X 10,9,5,4,2,1,0 10,9,6,1,0 10,9,6,3,2,1,0 10,9,6,4,0 X 10,9,6,4,3,1,0 10,9,6,5,4,3,0 10,9,6,5,4,3,2,1,0 10,9,7,2,0 X 10,9,7,3,0 10,9,7,5,2,1,0 X 10,9,7,5,3,2,0 X 10,9,7,5,4,2,0 10,9,7,5,4,3,2,1,0 X 10,9,7,6,0 10,9,7,6,3,2,0 X 10,9,7,6,4,1,0 10,9,7,6,4,3,2,1,0 10,9,7,6,5,4,2,1,0 X 10,9,7,6,5,4,3,2,0 10,9,8,4,0 X 10,9,8,4,2,1,0 10,9,8,5,0 10,9,8,5,3,1,0 X 10,9,8,5,4,2,0 X 10,9,8,5,4,3,0 10,9,8,6,2,1,0 10,9,8,6,3,2,0 10,9,8,6,4,2,0 10,9,8,6,4,3,0 10,9,8,6,5,4,3,1,0 X 10,9,8,6,5,4,3,2,0 10,9,8,7,0 X 10,9,8,7,2,1,0 X 10,9,8,7,3,2,0 10,9,8,7,4,1,0 10,9,8,7,5,3,0 X 10,9,8,7,5,4,0 10,9,8,7,6,2,0 X 10,9,8,7,6,4,3,1,0 10,9,8,7,6,5,3,1,0 X 10,9,8,7,6,5,4,1,0 10,9,8,7,6,5,4,3,0 10,9,8,7,6,5,4,3,2,1,0 X 11,10,3,1,0 11,10,3,2,0 11,10,4,3,0 11,10,4,3,2,1,0 11,10,5,4,0 X 11,10,6,4,2,1,0 11,10,6,5,0 11,10,6,5,3,1,0 11,10,6,5,4,1,0 11,10,6,5,4,2,0 X 11,10,7,2,0 11,10,7,3,0 11,10,7,4,2,1,0 11,10,7,4,3,1,0 11,10,7,4,3,2,0 11,10,7,5,4,1,0 11,10,7,5,4,3,2,1,0 11,10,7,6,2,1,0 11,10,7,6,3,2,0 11,10,7,6,4,1,0 11,10,7,6,4,2,0 11,10,7,6,5,1,0 11,10,7,6,5,3,0 11,10,7,6,5,4,2,1,0 11,10,8,1,0 11,10,8,3,2,1,0 11,10,8,4,3,2,0 11,10,8,5,2,1,0 11,10,8,5,3,2,0 11,10,8,6,0 11,10,8,6,2,1,0 11,10,8,6,4,2,0 11,10,8,6,4,3,0 11,10,8,6,5,1,0 11,10,8,6,5,3,2,1,0 11,10,8,6,5,4,0 11,10,8,7,4,1,0 11,10,8,7,4,3,2,1,0 11,10,8,7,5,3,0 11,10,8,7,5,4,3,1,0 11,10,8,7,5,4,3,2,0 11,10,8,7,6,3,0 11,10,8,7,6,4,2,1,0 11,10,8,7,6,4,3,1,0 11,10,8,7,6,5,0 11,10,8,7,6,5,2,1,0 11,10,8,7,6,5,4,2,0 11,10,8,7,6,5,4,3,2,1,0 X 11,10,9,2,0 11,10,9,4,3,2,0 11,10,9,5,0 11,10,9,5,2,1,0 11,10,9,5,3,1,0 11,10,9,5,4,1,0 11,10,9,5,4,3,0 11,10,9,6,2,1,0 11,10,9,6,3,1,0 11,10,9,6,4,2,0 11,10,9,6,4,3,2,1,0 11,10,9,6,5,4,0 11,10,9,6,5,4,3,1,0 11,10,9,6,5,4,3,2,0 11,10,9,7,0 11,10,9,7,4,1,0 11,10,9,7,4,3,2,1,0 11,10,9,7,5,1,0 11,10,9,7,5,4,3,1,0 11,10,9,7,6,3,0 X 11,10,9,7,6,3,2,1,0 11,10,9,7,6,4,3,2,0 11,10,9,7,6,5,4,1,0 11,10,9,7,6,5,4,3,0 11,10,9,8,3,1,0 11,10,9,8,4,3,0 11,10,9,8,5,4,0 11,10,9,8,5,4,2,1,0 11,10,9,8,6,4,3,2,0 11,10,9,8,6,5,3,1,0 11,10,9,8,6,5,3,2,0 11,10,9,8,6,5,4,2,0 11,10,9,8,6,5,4,3,0 X 11,10,9,8,7,1,0 11,10,9,8,7,4,0 11,10,9,8,7,4,2,1,0 11,10,9,8,7,4,3,1,0 11,10,9,8,7,5,2,1,0 11,10,9,8,7,5,3,2,0 11,10,9,8,7,5,4,2,0 11,10,9,8,7,6,3,2,0 11,10,9,8,7,6,4,1,0 11,10,9,8,7,6,5,2,0 11,10,9,8,7,6,5,3,0 11,10,9,8,7,6,5,4,3,1,0 X 12,11,3,2,0 X 12,11,5,1,0 X 12,11,5,4,2,1,0 X 12,11,6,4,2,1,0 12,11,6,4,3,2,0 12,11,6,5,3,2,0 X 12,11,7,1,0 X 12,11,7,4,2,1,0 12,11,7,5,0 X 12,11,7,5,4,3,0 12,11,7,6,3,1,0 X 12,11,7,6,3,2,0 X 12,11,7,6,5,4,0 X 12,11,7,6,5,4,3,1,0 X 12,11,8,3,0 X 12,11,8,5,4,2,0 12,11,8,6,0 12,11,8,6,3,1,0 X 12,11,8,6,4,3,2,1,0 X 12,11,8,6,5,2,0 12,11,8,6,5,3,2,1,0 X 12,11,8,6,5,4,3,1,0 12,11,8,7,0 X 12,11,8,7,3,1,0 12,11,8,7,4,3,0 X 12,11,8,7,5,4,0 12,11,8,7,5,4,3,2,0 12,11,8,7,6,3,0 12,11,8,7,6,4,3,2,0 X 12,11,8,7,6,5,2,1,0 12,11,8,7,6,5,3,2,0 X 12,11,8,7,6,5,4,3,0 X 12,11,9,4,3,1,0 12,11,9,5,0 X 12,11,9,5,3,1,0 12,11,9,5,4,1,0 12,11,9,6,3,2,0 X 12,11,9,6,4,1,0 X 12,11,9,6,4,2,0 X 12,11,9,6,5,1,0 X 12,11,9,6,5,3,0 12,11,9,6,5,4,3,1,0 X 12,11,9,7,3,1,0 12,11,9,7,5,4,0 X 12,11,9,7,6,2,0 X 12,11,9,7,6,4,0 12,11,9,7,6,5,0 12,11,9,7,6,5,2,1,0 X 12,11,9,7,6,5,3,1,0 X 12,11,9,7,6,5,4,2,0 12,11,9,8,3,1,0 12,11,9,8,3,2,0 X 12,11,9,8,4,1,0 12,11,9,8,4,3,0 X 12,11,9,8,4,3,2,1,0 12,11,9,8,5,3,2,1,0 X 12,11,9,8,6,2,0 X 12,11,9,8,6,4,2,1,0 12,11,9,8,7,3,0 X 12,11,9,8,7,5,4,2,0 X 12,11,9,8,7,5,4,3,0 X 12,11,9,8,7,5,4,3,2,1,0 12,11,9,8,7,6,0 12,11,9,8,7,6,5,1,0 X 12,11,10,1,0 X 12,11,10,2,0 12,11,10,3,2,1,0 X 12,11,10,4,0 12,11,10,4,2,1,0 12,11,10,5,2,1,0 12,11,10,6,3,2,0 12,11,10,6,4,3,2,1,0 X 12,11,10,7,2,1,0 12,11,10,7,5,4,2,1,0 X 12,11,10,7,6,2,0 12,11,10,7,6,3,0 12,11,10,7,6,3,2,1,0 12,11,10,7,6,5,3,2,0 X 12,11,10,8,0 X 12,11,10,8,5,1,0 12,11,10,8,5,3,2,1,0 X 12,11,10,8,5,4,3,2,0 X 12,11,10,8,6,1,0 12,11,10,8,6,4,3,1,0 12,11,10,8,6,4,3,2,0 X 12,11,10,8,6,5,2,1,0 X 12,11,10,8,6,5,4,2,0 12,11,10,8,6,5,4,3,0 X 12,11,10,8,7,1,0 X 12,11,10,8,7,2,0 12,11,10,8,7,3,0 12,11,10,8,7,4,0 X 12,11,10,8,7,5,2,1,0 X 12,11,10,8,7,5,4,1,0 X 12,11,10,8,7,6,0 X 12,11,10,8,7,6,5,3,2,1,0 X 12,11,10,9,4,2,0 12,11,10,9,5,3,2,1,0 12,11,10,9,5,4,3,1,0 X 12,11,10,9,6,4,0 12,11,10,9,6,4,3,2,0 X 12,11,10,9,6,5,4,1,0 12,11,10,9,7,4,2,1,0 X 12,11,10,9,7,4,3,1,0 X 12,11,10,9,7,5,4,3,0 X 12,11,10,9,7,5,4,3,2,1,0 X 12,11,10,9,7,6,3,2,0 X 12,11,10,9,7,6,4,1,0 X 12,11,10,9,7,6,5,1,0 12,11,10,9,7,6,5,4,2,1,0 X 12,11,10,9,8,4,0 12,11,10,9,8,5,4,3,0 X 12,11,10,9,8,6,2,1,0 X 12,11,10,9,8,6,3,1,0 X 12,11,10,9,8,6,4,1,0 X 12,11,10,9,8,6,5,2,0 X 12,11,10,9,8,6,5,4,0 12,11,10,9,8,6,5,4,3,2,0 X 12,11,10,9,8,7,0 X 12,11,10,9,8,7,3,2,0 X 12,11,10,9,8,7,4,3,0 12,11,10,9,8,7,5,3,2,1,0 X 12,11,10,9,8,7,5,4,3,1,0 12,11,10,9,8,7,6,1,0 X 12,11,10,9,8,7,6,3,0 12,11,10,9,8,7,6,5,0 X 12,11,10,9,8,7,6,5,3,2,0 X 12,11,10,9,8,7,6,5,4,3,2,1,0 X 13,12,2,1,0 13,12,4,2,0 13,12,4,3,0 13,12,5,3,2,1,0 13,12,6,3,0 13,12,6,3,2,1,0 13,12,6,5,2,1,0 13,12,6,5,4,3,0 13,12,6,5,4,3,2,1,0 13,12,7,4,0 13,12,7,5,0 13,12,7,5,4,2,0 13,12,7,5,4,3,2,1,0 13,12,7,6,0 13,12,7,6,4,1,0 13,12,7,6,4,3,0 13,12,7,6,5,2,0 13,12,7,6,5,3,2,1,0 13,12,8,2,0 13,12,8,3,2,1,0 13,12,8,5,4,2,0 13,12,8,6,2,1,0 13,12,8,6,3,2,0 13,12,8,6,4,3,2,1,0 13,12,8,6,5,1,0 13,12,8,6,5,4,0 13,12,8,6,5,4,3,1,0 13,12,8,7,5,1,0 13,12,8,7,5,3,0 13,12,8,7,5,4,2,1,0 13,12,8,7,6,2,0 13,12,8,7,6,3,0 13,12,8,7,6,4,3,1,0 13,12,8,7,6,5,0 13,12,8,7,6,5,3,1,0 13,12,8,7,6,5,3,2,0 13,12,8,7,6,5,4,1,0 13,12,8,7,6,5,4,3,2,1,0 13,12,9,3,0 13,12,9,3,2,1,0 13,12,9,4,3,2,0 13,12,9,5,2,1,0 13,12,9,5,4,3,0 13,12,9,6,3,1,0 13,12,9,6,4,1,0 13,12,9,6,4,3,0 13,12,9,6,5,2,0 13,12,9,7,0 13,12,9,7,4,1,0 13,12,9,7,4,3,0 13,12,9,7,4,3,2,1,0 13,12,9,7,5,3,0 13,12,9,7,5,4,2,1,0 13,12,9,7,5,4,3,1,0 13,12,9,7,6,1,0 13,12,9,7,6,4,2,1,0 13,12,9,7,6,4,3,1,0 13,12,9,7,6,5,2,1,0 13,12,9,8,2,1,0 13,12,9,8,4,2,0 13,12,9,8,5,3,2,1,0 13,12,9,8,6,4,0 13,12,9,8,6,4,3,2,0 13,12,9,8,6,5,4,2,0 13,12,9,8,7,4,2,1,0 13,12,9,8,7,4,3,1,0 13,12,9,8,7,5,3,1,0 13,12,9,8,7,5,4,3,0 13,12,9,8,7,6,0 13,12,9,8,7,6,2,1,0 13,12,9,8,7,6,4,2,0 13,12,9,8,7,6,5,1,0 13,12,9,8,7,6,5,2,0 13,12,9,8,7,6,5,4,2,1,0 13,12,9,8,7,6,5,4,3,1,0 13,12,10,3,0 13,12,10,4,3,1,0 13,12,10,5,2,1,0 13,12,10,6,0 13,12,10,6,3,2,0 13,12,10,6,4,3,2,1,0 13,12,10,6,5,3,0 13,12,10,6,5,4,2,1,0 13,12,10,6,5,4,3,1,0 13,12,10,7,2,1,0 13,12,10,7,4,1,0 13,12,10,7,4,3,0 13,12,10,7,5,2,0 13,12,10,7,5,4,3,2,0 13,12,10,7,6,3,0 13,12,10,7,6,4,3,1,0 13,12,10,7,6,5,2,1,0 13,12,10,7,6,5,4,3,0 13,12,10,8,3,2,0 13,12,10,8,4,3,2,1,0 13,12,10,8,5,2,0 13,12,10,8,5,4,0 13,12,10,8,5,4,2,1,0 13,12,10,8,6,2,0 13,12,10,8,6,3,2,1,0 13,12,10,8,6,4,3,2,0 13,12,10,8,6,5,3,2,0 13,12,10,8,6,5,4,1,0 13,12,10,8,6,5,4,3,2,1,0 13,12,10,8,7,4,3,2,0 13,12,10,8,7,5,0 13,12,10,8,7,5,4,3,0 13,12,10,8,7,6,3,2,0 13,12,10,8,7,6,4,2,0 13,12,10,8,7,6,4,3,0 13,12,10,8,7,6,5,1,0 13,12,10,8,7,6,5,3,0 13,12,10,8,7,6,5,3,2,1,0 13,12,10,9,0 13,12,10,9,3,1,0 13,12,10,9,4,3,2,1,0 13,12,10,9,5,2,0 13,12,10,9,5,3,2,1,0 13,12,10,9,5,4,3,1,0 13,12,10,9,6,3,0 13,12,10,9,6,4,0 13,12,10,9,6,4,3,1,0 13,12,10,9,6,5,4,1,0 13,12,10,9,6,5,4,2,0 13,12,10,9,7,4,0 13,12,10,9,7,4,3,1,0 13,12,10,9,7,4,3,2,0 13,12,10,9,7,5,3,2,0 13,12,10,9,7,6,3,1,0 13,12,10,9,7,6,4,1,0 13,12,10,9,7,6,4,2,0 13,12,10,9,7,6,5,1,0 13,12,10,9,7,6,5,3,2,1,0 13,12,10,9,8,2,0 13,12,10,9,8,3,2,1,0 13,12,10,9,8,4,3,1,0 13,12,10,9,8,5,0 13,12,10,9,8,5,3,2,0 13,12,10,9,8,5,4,3,0 13,12,10,9,8,6,0 13,12,10,9,8,6,2,1,0 13,12,10,9,8,6,4,1,0 13,12,10,9,8,6,5,4,0 13,12,10,9,8,6,5,4,2,1,0 13,12,10,9,8,7,3,1,0 13,12,10,9,8,7,4,2,0 13,12,10,9,8,7,4,3,0 13,12,10,9,8,7,5,1,0 13,12,10,9,8,7,6,2,0 13,12,10,9,8,7,6,3,2,1,0 13,12,10,9,8,7,6,4,0 13,12,10,9,8,7,6,4,2,1,0 13,12,10,9,8,7,6,4,3,2,0 13,12,10,9,8,7,6,5,0 13,12,10,9,8,7,6,5,4,1,0 13,12,11,1,0 13,12,11,2,0 13,12,11,4,2,1,0 13,12,11,4,3,2,0 13,12,11,5,2,1,0 13,12,11,5,4,1,0 13,12,11,6,3,1,0 13,12,11,6,4,3,0 13,12,11,6,5,3,0 13,12,11,6,5,4,0 13,12,11,7,5,1,0 13,12,11,7,5,4,0 13,12,11,7,5,4,3,1,0 13,12,11,7,6,3,0 13,12,11,7,6,3,2,1,0 13,12,11,7,6,5,0 13,12,11,7,6,5,4,1,0 13,12,11,7,6,5,4,3,0 13,12,11,8,0 13,12,11,8,2,1,0 13,12,11,8,3,1,0 13,12,11,8,4,1,0 13,12,11,8,5,4,0 13,12,11,8,6,3,2,1,0 13,12,11,8,6,5,2,1,0 13,12,11,8,6,5,3,2,0 13,12,11,8,7,1,0 13,12,11,8,7,2,0 13,12,11,8,7,4,2,1,0 13,12,11,8,7,5,0 13,12,11,8,7,5,2,1,0 13,12,11,8,7,5,3,2,0 13,12,11,8,7,6,3,1,0 13,12,11,8,7,6,3,2,0 13,12,11,8,7,6,4,1,0 13,12,11,8,7,6,5,3,2,1,0 13,12,11,8,7,6,5,4,2,1,0 13,12,11,8,7,6,5,4,3,2,0 13,12,11,9,2,1,0 13,12,11,9,5,3,0 13,12,11,9,5,3,2,1,0 13,12,11,9,5,4,3,2,0 13,12,11,9,6,4,0 13,12,11,9,6,4,3,2,0 13,12,11,9,6,5,0 13,12,11,9,6,5,2,1,0 13,12,11,9,6,5,4,1,0 13,12,11,9,6,5,4,2,0 13,12,11,9,7,3,0 13,12,11,9,7,5,4,3,0 13,12,11,9,7,5,4,3,2,1,0 13,12,11,9,7,6,3,2,0 13,12,11,9,7,6,4,1,0 13,12,11,9,7,6,4,2,0 13,12,11,9,7,6,4,3,2,1,0 13,12,11,9,7,6,5,2,0 13,12,11,9,7,6,5,3,0 13,12,11,9,7,6,5,4,3,1,0 13,12,11,9,8,4,0 13,12,11,9,8,5,3,1,0 13,12,11,9,8,5,3,2,0 13,12,11,9,8,5,4,2,0 13,12,11,9,8,5,4,3,2,1,0 13,12,11,9,8,6,4,1,0 13,12,11,9,8,6,4,3,0 13,12,11,9,8,6,5,1,0 13,12,11,9,8,6,5,2,0 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