the 70 isometry classes of irreducible [13,10,4]_16 codes are: code no 1: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 14 8 1 0 0 0 0 0 0 0 1 0 0 15 9 1 0 0 0 0 0 0 0 0 1 0 7 10 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 2: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 14 8 1 0 0 0 0 0 0 0 1 0 0 7 10 1 0 0 0 0 0 0 0 0 1 0 6 11 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 3: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 14 8 1 0 0 0 0 0 0 0 1 0 0 7 10 1 0 0 0 0 0 0 0 0 1 0 11 12 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 4: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 14 8 1 0 0 0 0 0 0 0 1 0 0 7 10 1 0 0 0 0 0 0 0 0 1 0 10 13 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 5: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 14 8 1 0 0 0 0 0 0 0 1 0 0 7 10 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 6: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 14 8 1 0 0 0 0 0 0 0 1 0 0 7 10 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 7: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 14 8 1 0 0 0 0 0 0 0 1 0 0 6 11 1 0 0 0 0 0 0 0 0 1 0 11 12 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 8: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 14 8 1 0 0 0 0 0 0 0 1 0 0 6 11 1 0 0 0 0 0 0 0 0 1 0 10 13 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 9: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 14 8 1 0 0 0 0 0 0 0 1 0 0 6 11 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 10: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 14 8 1 0 0 0 0 0 0 0 1 0 0 6 11 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 11: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 14 8 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 10 13 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 12: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 14 8 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 13: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 14 8 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 14: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 6 11 1 0 0 0 0 0 0 0 0 1 0 11 12 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 15: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 6 11 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 16: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 10 13 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 17: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 18: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 19: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 20: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 21: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 4 14 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 22: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 11 12 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 23: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 12 7 1 0 0 0 0 0 0 1 0 0 0 11 12 1 0 0 0 0 0 0 0 1 0 0 4 14 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 24: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 15 9 1 0 0 0 0 0 0 0 1 0 0 7 10 1 0 0 0 0 0 0 0 0 1 0 10 13 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 25: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 15 9 1 0 0 0 0 0 0 0 1 0 0 7 10 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 26: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 15 9 1 0 0 0 0 0 0 0 1 0 0 7 10 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 8 7 15 14 10 3 3 4 14 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 5)(2, 9)(3, 8)(4, 10)(7, 11)(12, 13) orbits: { 1, 5 }, { 2, 9 }, { 3, 8 }, { 4, 10 }, { 6 }, { 7, 11 }, { 12, 13 } code no 27: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 15 9 1 0 0 0 0 0 0 0 1 0 0 6 11 1 0 0 0 0 0 0 0 0 1 0 11 12 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 28: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 15 9 1 0 0 0 0 0 0 0 1 0 0 6 11 1 0 0 0 0 0 0 0 0 1 0 10 13 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 4 and is strongly generated by the following 1 elements: ( 14 3 6 6 5 2 8 6 2 , 2 ) acting on the columns of the generator matrix as follows (in order): (1, 12, 5, 13)(2, 11, 9, 7)(3, 4, 8, 10) orbits: { 1, 13, 5, 12 }, { 2, 7, 9, 11 }, { 3, 10, 8, 4 }, { 6 } code no 29: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 6 11 1 0 0 0 0 0 0 0 0 1 0 11 12 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 30: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 6 11 1 0 0 0 0 0 0 0 0 1 0 10 13 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 31: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 6 11 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 32: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 6 11 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 33: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 10 13 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 34: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 35: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 36: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 37: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 4 14 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 38: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 6 11 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 10 13 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 39: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 6 11 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 40: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 6 11 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 11 12 1 2 15 3 15 2 6 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 12)(2, 8)(3, 10)(4, 9)(5, 13)(6, 11) orbits: { 1, 12 }, { 2, 8 }, { 3, 10 }, { 4, 9 }, { 5, 13 }, { 6, 11 }, { 7 } code no 41: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 6 11 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 42: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 6 11 1 0 0 0 0 0 0 0 1 0 0 4 14 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 43: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 11 12 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 44: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 11 12 1 0 0 0 0 0 0 0 1 0 0 4 14 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 45: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 15 9 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 10 13 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 46: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 15 9 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 47: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 15 9 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 12 11 3 0 0 15 0 7 0 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 13)(2, 3)(5, 12)(6, 11)(7, 9)(8, 10) orbits: { 1, 13 }, { 2, 3 }, { 4 }, { 5, 12 }, { 6, 11 }, { 7, 9 }, { 8, 10 } code no 48: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 15 9 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 49: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 15 9 1 0 0 0 0 0 0 1 0 0 0 6 11 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 10 13 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 50: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 15 9 1 0 0 0 0 0 0 1 0 0 0 6 11 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 51: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 15 9 1 0 0 0 0 0 0 1 0 0 0 6 11 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 52: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 15 9 1 0 0 0 0 0 0 1 0 0 0 6 11 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 53: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 15 9 1 0 0 0 0 0 0 1 0 0 0 11 12 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 54: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 7 10 1 0 0 0 0 0 0 1 0 0 0 6 11 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 10 13 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 55: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 7 10 1 0 0 0 0 0 0 1 0 0 0 11 12 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 56: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 7 10 1 0 0 0 0 0 0 1 0 0 0 10 13 1 0 0 0 0 0 0 0 1 0 0 4 14 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 57: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 13 6 1 0 0 0 0 0 1 0 0 0 0 11 12 1 0 0 0 0 0 0 1 0 0 0 10 13 1 0 0 0 0 0 0 0 1 0 0 4 14 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 58: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 14 8 1 0 0 0 0 0 1 0 0 0 0 15 9 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 59: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 9 5 1 0 0 0 0 1 0 0 0 0 0 14 8 1 0 0 0 0 0 1 0 0 0 0 15 9 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 4 14 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 60: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 13 6 1 0 0 0 0 1 0 0 0 0 0 12 7 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 7 10 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 4 14 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 7 6 11 0 0 12 0 1 0 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 13)(2, 3)(5, 12)(6, 11)(7, 8)(9, 10) orbits: { 1, 13 }, { 2, 3 }, { 4 }, { 5, 12 }, { 6, 11 }, { 7, 8 }, { 9, 10 } code no 61: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 13 6 1 0 0 0 0 1 0 0 0 0 0 12 7 1 0 0 0 0 0 1 0 0 0 0 14 8 1 0 0 0 0 0 0 1 0 0 0 11 12 1 0 0 0 0 0 0 0 1 0 0 10 13 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 1 and is strongly generated by the following 0 elements: ( ) acting on the columns of the generator matrix as follows (in order): orbits: { 1 }, { 2 }, { 3 }, { 4 }, { 5 }, { 6 }, { 7 }, { 8 }, { 9 }, { 10 }, { 11 }, { 12 }, { 13 } code no 62: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 2 3 1 0 0 1 0 0 0 0 0 0 0 8 4 1 0 0 0 1 0 0 0 0 0 0 13 6 1 0 0 0 0 1 0 0 0 0 0 14 8 1 0 0 0 0 0 1 0 0 0 0 15 9 1 0 0 0 0 0 0 1 0 0 0 6 11 1 0 0 0 0 0 0 0 1 0 0 11 12 1 0 0 0 0 0 0 0 0 1 0 5 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 15 8 3 15 15 15 0 0 12 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 13)(2, 4)(5, 11)(6, 12)(7, 9)(8, 10) orbits: { 1, 13 }, { 2, 4 }, { 3 }, { 5, 11 }, { 6, 12 }, { 7, 9 }, { 8, 10 } code no 63: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 4 3 1 0 0 1 0 0 0 0 0 0 0 2 4 1 0 0 0 1 0 0 0 0 0 0 7 5 1 0 0 0 0 1 0 0 0 0 0 15 6 1 0 0 0 0 0 1 0 0 0 0 9 7 1 0 0 0 0 0 0 1 0 0 0 11 8 1 0 0 0 0 0 0 0 1 0 0 14 12 1 0 0 0 0 0 0 0 0 1 0 12 13 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 2 and is strongly generated by the following 1 elements: ( 4 8 2 0 0 1 0 9 0 , 0 ) acting on the columns of the generator matrix as follows (in order): (1, 7)(2, 3)(4, 11)(6, 13)(8, 10)(9, 12) orbits: { 1, 7 }, { 2, 3 }, { 4, 11 }, { 5 }, { 6, 13 }, { 8, 10 }, { 9, 12 } code no 64: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 4 3 1 0 0 1 0 0 0 0 0 0 0 2 4 1 0 0 0 1 0 0 0 0 0 0 7 5 1 0 0 0 0 1 0 0 0 0 0 10 9 1 0 0 0 0 0 1 0 0 0 0 13 10 1 0 0 0 0 0 0 1 0 0 0 5 11 1 0 0 0 0 0 0 0 1 0 0 8 14 1 0 0 0 0 0 0 0 0 1 0 6 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 4 and is strongly generated by the following 1 elements: ( 12 8 10 1 0 0 12 6 14 , 2 ) acting on the columns of the generator matrix as follows (in order): (1, 2, 13, 7)(3, 9, 12, 11)(4, 6, 5, 8) orbits: { 1, 7, 13, 2 }, { 3, 11, 12, 9 }, { 4, 8, 5, 6 }, { 10 } code no 65: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 4 3 1 0 0 1 0 0 0 0 0 0 0 13 4 1 0 0 0 1 0 0 0 0 0 0 12 7 1 0 0 0 0 1 0 0 0 0 0 6 8 1 0 0 0 0 0 1 0 0 0 0 8 9 1 0 0 0 0 0 0 1 0 0 0 7 12 1 0 0 0 0 0 0 0 1 0 0 14 13 1 0 0 0 0 0 0 0 0 1 0 10 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 156 and is strongly generated by the following 5 elements: ( 4 0 0 13 13 13 7 4 14 , 1 , 13 0 0 13 4 1 13 8 9 , 0 , 11 9 15 9 11 15 0 2 0 , 3 , 15 2 7 14 0 0 5 5 5 , 1 , 5 7 9 13 1 9 8 0 0 , 1 ) acting on the columns of the generator matrix as follows (in order): (2, 6, 11, 4)(3, 13, 10, 9)(5, 12, 7, 8), (2, 10, 7)(3, 5, 11)(4, 13, 12)(6, 9, 8), (1, 4, 5, 11)(2, 3, 10, 8)(6, 12, 7, 9), (1, 2, 6, 4, 3, 12, 5, 10, 7, 11, 8, 9), (1, 3, 11, 13)(2, 4, 9, 8)(5, 10, 6, 7) orbits: { 1, 11, 9, 13, 6, 5, 7, 3, 10, 8, 4, 2, 12 } code no 66: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 5 3 1 0 0 1 0 0 0 0 0 0 0 2 4 1 0 0 0 1 0 0 0 0 0 0 12 5 1 0 0 0 0 1 0 0 0 0 0 14 6 1 0 0 0 0 0 1 0 0 0 0 10 7 1 0 0 0 0 0 0 1 0 0 0 11 8 1 0 0 0 0 0 0 0 1 0 0 13 9 1 0 0 0 0 0 0 0 0 1 0 9 10 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 4 and is strongly generated by the following 2 elements: ( 8 0 0 7 10 3 10 7 9 , 2 , 15 0 0 7 7 7 9 2 13 , 3 ) acting on the columns of the generator matrix as follows (in order): (2, 10)(3, 6)(4, 12)(8, 13), (2, 12, 10, 4)(3, 8, 6, 13)(9, 11) orbits: { 1 }, { 2, 10, 4, 12 }, { 3, 6, 13, 8 }, { 5 }, { 7 }, { 9, 11 } code no 67: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 5 3 1 0 0 1 0 0 0 0 0 0 0 2 4 1 0 0 0 1 0 0 0 0 0 0 12 5 1 0 0 0 0 1 0 0 0 0 0 14 6 1 0 0 0 0 0 1 0 0 0 0 10 7 1 0 0 0 0 0 0 1 0 0 0 11 8 1 0 0 0 0 0 0 0 1 0 0 13 9 1 0 0 0 0 0 0 0 0 1 0 8 12 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 8 and is strongly generated by the following 2 elements: ( 6 12 3 15 5 3 15 12 10 , 0 , 11 10 8 3 5 15 0 9 0 , 2 ) acting on the columns of the generator matrix as follows (in order): (1, 7)(2, 6)(3, 12)(4, 13)(8, 9)(10, 11), (1, 10, 13, 9)(2, 3, 12, 6)(4, 11, 7, 8) orbits: { 1, 7, 9, 11, 8, 13, 10, 4 }, { 2, 6, 12, 3 }, { 5 } code no 68: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 5 3 1 0 0 1 0 0 0 0 0 0 0 2 4 1 0 0 0 1 0 0 0 0 0 0 12 5 1 0 0 0 0 1 0 0 0 0 0 14 6 1 0 0 0 0 0 1 0 0 0 0 13 9 1 0 0 0 0 0 0 1 0 0 0 9 10 1 0 0 0 0 0 0 0 1 0 0 6 11 1 0 0 0 0 0 0 0 0 1 0 8 12 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 240 and is strongly generated by the following 7 elements: ( 11 0 0 0 13 0 8 2 13 , 2 , 3 0 0 8 2 13 4 13 2 , 2 , 5 0 0 7 6 8 2 14 8 , 0 , 2 0 0 5 9 14 9 15 4 , 3 , 13 11 10 13 1 7 5 15 8 , 2 , 5 9 14 11 13 4 12 6 8 , 3 , 7 11 6 5 12 4 4 0 0 , 1 ) acting on the columns of the generator matrix as follows (in order): (3, 12)(4, 11)(7, 8)(9, 13), (2, 12)(3, 11)(6, 8)(7, 9), (2, 4, 12, 3, 11)(6, 13, 8, 7, 9), (2, 8, 4, 9)(3, 7)(6, 12, 13, 11), (1, 11)(2, 7)(3, 6)(9, 10), (1, 12, 3, 9)(2, 6)(7, 11, 10, 8), (1, 3, 11, 12, 6, 4, 10, 7, 9, 8, 2, 13) orbits: { 1, 11, 9, 13, 4, 3, 7, 10, 6, 12, 2, 8 }, { 5 } code no 69: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 12 3 1 0 0 1 0 0 0 0 0 0 0 8 5 1 0 0 0 1 0 0 0 0 0 0 15 6 1 0 0 0 0 1 0 0 0 0 0 9 7 1 0 0 0 0 0 1 0 0 0 0 6 8 1 0 0 0 0 0 0 1 0 0 0 4 9 1 0 0 0 0 0 0 0 1 0 0 13 10 1 0 0 0 0 0 0 0 0 1 0 14 11 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 8 and is strongly generated by the following 2 elements: ( 12 9 7 0 6 0 12 15 8 , 2 , 14 13 15 0 12 0 0 0 12 , 2 ) acting on the columns of the generator matrix as follows (in order): (1, 12, 8, 10)(3, 4, 5, 6)(7, 11, 9, 13), (1, 13)(4, 6)(7, 10)(8, 11)(9, 12) orbits: { 1, 10, 13, 8, 7, 9, 12, 11 }, { 2 }, { 3, 6, 5, 4 } code no 70: ================ 1 1 1 1 0 0 0 0 0 0 0 0 0 3 2 1 0 1 0 0 0 0 0 0 0 0 12 3 1 0 0 1 0 0 0 0 0 0 0 8 5 1 0 0 0 1 0 0 0 0 0 0 15 6 1 0 0 0 0 1 0 0 0 0 0 9 7 1 0 0 0 0 0 1 0 0 0 0 6 8 1 0 0 0 0 0 0 1 0 0 0 4 9 1 0 0 0 0 0 0 0 1 0 0 13 10 1 0 0 0 0 0 0 0 0 1 0 10 15 1 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 48 and is strongly generated by the following 3 elements: ( 15 0 0 0 12 0 0 0 3 , 3 , 1 0 0 1 1 1 13 5 9 , 3 , 15 0 0 1 12 11 14 5 11 , 2 ) acting on the columns of the generator matrix as follows (in order): (4, 8, 7, 5)(6, 9)(10, 11, 13, 12), (2, 11, 9, 4)(3, 7, 6, 12)(8, 10), (2, 4, 5, 3, 12, 13)(6, 11, 8, 9, 7, 10) orbits: { 1 }, { 2, 4, 13, 5, 9, 11, 12, 7, 6, 8, 10, 3 }