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 }