The Lattice (SL(2,13) Y SL(2,3)).C2
An entry from the Catalogue of Lattices, which is a joint project of
Gabriele Nebe, RWTH Aachen University
(nebe@math.rwth-aachen.de)
and
Neil J. A. Sloane
(njasloane@gmail.com)
Last modified Fri Jul 18 13:23:53 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
LAST_LINE
-
NAME
(SL(2,13) Y SL(2,3)).C2
-
DIMENSION
24
-
GRAM
24
12 -2 2 2 -1 6 -2 1 -4 1 -4 -2 -3 3 1
0 0 3 3 3 -4 3 -2 -5
-2 12 0 -4 3 -1 1 -6 -2 2 0 -4 2 -3 4
0 1 4 -1 -1 5 -4 6 -4
2 0 12 -1 1 -1 0 0 -3 6 -6 0 -2 -1 2
-4 2 2 -4 4 -5 3 3 -5
2 -4 -1 12 -2 1 -2 4 2 0 -1 -1 -2 6 2
2 2 -3 -1 3 -2 6 -5 5
-1 3 1 -2 12 -2 2 0 -3 4 3 -3 -2 0 3
-2 0 0 -2 -5 3 1 1 -3
6 -1 -1 1 -2 12 -2 0 1 0 0 -2 -2 3 -1
3 0 0 3 2 -6 0 -1 -4
-2 1 0 -2 2 -2 12 0 2 -2 1 -2 4 -4 2
1 -5 -5 -5 0 1 -3 4 0
1 -6 0 4 0 0 0 12 1 -2 2 4 -1 4 -6
4 1 -6 0 -1 -4 2 -6 5
-4 -2 -3 2 -3 1 2 1 12 -5 -1 3 4 2 -3
6 -1 -3 0 1 0 -4 -2 6
1 2 6 0 4 0 -2 -2 -5 12 0 2 -3 0 6
-3 4 6 2 3 0 1 -1 -6
-4 0 -6 -1 3 0 1 2 -1 0 12 1 -2 -1 -2
3 0 -2 4 -6 4 -3 -4 2
-2 -4 0 -1 -3 -2 -2 4 3 2 1 12 -1 2 -4
3 2 2 4 1 0 -3 -6 4
-3 2 -2 -2 -2 -2 4 -1 4 -3 -2 -1 12 -6 -1
0 -2 0 0 2 4 -6 4 2
3 -3 -1 6 0 3 -4 4 2 0 -1 2 -6 12 2
4 6 -1 2 2 -5 4 -4 2
1 4 2 2 3 -1 2 -6 -3 6 -2 -4 -1 2 12
-3 4 4 0 4 1 2 4 -5
0 0 -4 2 -2 3 1 4 6 -3 3 3 0 4 -3
12 2 -2 4 -2 0 -4 -6 3
0 1 2 2 0 0 -5 1 -1 4 0 2 -2 6 4
2 12 5 5 4 -1 1 -2 0
3 4 2 -3 0 0 -5 -6 -3 6 -2 2 0 -1 4
-2 5 12 6 3 4 -2 0 -5
3 -1 -4 -1 -2 3 -5 0 0 2 4 4 0 2 0
4 5 6 12 0 3 -4 -6 -1
3 -1 4 3 -5 2 0 -1 1 3 -6 1 2 2 4
-2 4 3 0 12 -5 -1 2 -2
-4 5 -5 -2 3 -6 1 -4 0 0 4 0 4 -5 1
0 -1 4 3 -5 12 -3 -1 3
3 -4 3 6 1 0 -3 2 -4 1 -3 -3 -6 4 2
-4 1 -2 -4 -1 -3 12 -2 2
-2 6 3 -5 1 -1 4 -6 -2 -1 -4 -6 4 -4 4
-6 -2 0 -6 2 -1 -2 12 -5
-5 -4 -5 5 -3 -4 0 5 6 -6 2 4 2 2 -5
3 0 -5 -1 -2 3 2 -5 12
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 13 13 13 13 13 13 13 13 13 13
13 13
-
MINIMAL_NORM
12
-
KISSING_NUMBER
13104
-
GROUP_ORDER
52416
-
GROUP_NAME
(SL(213) Y SL(23)).C2
-
GROUP_GENERATORS
2
24
0 0 -1 0 -1 0 0 0 1 1 0 0 0 0 -1
0 1 -1 -1 0 1 1 0 -2
0 0 0 0 0 0 -1 1 0 -1 1 1 0 0 1
1 -1 0 0 1 1 1 1 -1
-1 0 -1 1 0 0 1 0 0 1 -1 0 0 0 -1
0 0 1 1 -1 -1 0 1 0
0 0 0 0 1 -1 0 -1 0 1 0 0 0 0 -2
2 -1 -1 2 2 0 2 2 0
-1 1 0 1 1 0 0 0 0 -1 0 1 0 0 -1
0 -1 0 2 1 0 2 1 -1
1 0 -1 -1 -1 0 0 0 1 1 0 0 0 0 0
0 1 -1 -1 0 1 1 0 -1
0 0 0 0 0 1 0 0 -1 0 -1 0 0 0 1
-1 0 0 -1 -1 0 -2 -2 1
-1 0 0 1 1 0 1 -1 -1 0 -1 0 0 0 -1
0 0 0 1 0 -1 0 0 0
1 -1 0 -1 0 0 0 0 0 1 0 -1 0 1 0
0 0 0 -1 0 1 -1 0 1
-1 1 0 1 0 0 1 0 0 0 0 0 0 0 -1
0 -1 1 2 0 -1 1 1 0
0 0 1 0 0 1 0 0 -1 -1 0 0 0 0 1
-1 0 0 0 0 0 -1 -1 1
0 -1 1 0 0 1 0 0 -1 0 0 -1 0 0 1
0 0 1 -1 -1 0 -2 0 2
1 0 -1 0 0 -1 0 1 1 1 0 0 -1 -1 0
0 0 0 0 0 0 0 1 0
0 0 0 0 1 0 0 -1 0 0 0 0 0 0 -1
1 0 -1 1 1 0 1 1 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 -1 0 1 0 -1 0 0 1
1 0 0 0 0 0 0 -1 0 0 1 1 1 1 -1
0 1 -2 -1 1 2 1 0 -2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -1 1 0 0 0 1 0
0 0 0 0 -1 0 0 1 1 0 1 0 0 0 0
0 0 0 0 0 1 1 1 -1
1 0 0 0 -1 0 0 0 1 0 1 0 0 0 0
-1 1 -1 -1 0 1 0 0 -1
0 -1 0 -1 -1 1 0 1 0 1 -1 -1 -1 0 1
0 0 0 -1 -1 1 -2 0 1
0 0 1 0 0 0 -1 1 0 -1 1 0 0 0 1
0 -1 0 0 1 1 0 0 0
-1 1 0 0 1 -1 0 -1 0 0 0 0 1 0 -1
1 -1 0 2 1 -2 2 0 0
0 0 -1 0 0 0 0 1 0 0 -1 0 -1 -1 1
0 0 1 0 -1 -1 -1 0 1
0 -1 1 -1 1 0 -1 0 -1 0 0 -1 0 0 1
1 -1 0 0 1 0 -1 0 2
24
0 1 0 1 1 -1 0 -1 0 -1 1 1 1 -1 -1
1 0 0 1 1 -1 2 0 -1
0 0 0 0 1 -1 -1 0 1 -1 1 1 0 0 0
1 -1 -1 1 2 1 2 1 -2
0 0 0 -1 -1 0 -1 1 0 0 1 0 1 1 1
0 0 0 -2 0 1 0 -1 -1
0 0 1 0 0 0 0 0 -1 0 0 -1 0 0 1
0 -1 2 0 -1 -2 -2 0 3
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
1 0 0 0 1 -1 -1 -1 1 0 2 1 1 -1 -1
2 0 -1 1 2 0 3 2 -1
-1 -1 1 0 0 1 0 0 -1 0 -1 0 0 1 0
0 0 -1 0 0 2 -1 0 0
0 1 0 0 0 0 1 0 0 0 0 0 1 0 0
-1 0 1 0 -1 -2 0 -1 1
1 -1 1 -1 -1 1 -1 0 0 0 0 0 0 0 2
-1 1 -1 -2 -1 1 -2 -1 1
0 0 0 -1 0 0 -1 1 0 0 1 0 0 0 1
1 -1 0 0 1 1 1 1 0
0 0 -1 1 1 0 1 0 0 1 -1 0 -1 -1 -1
0 0 0 2 0 -1 0 2 1
0 0 0 -1 -1 1 0 1 0 0 0 0 0 0 1
-1 0 0 -1 0 1 0 -1 0
0 -1 1 -1 -1 1 0 0 -1 0 -1 -1 0 1 2
-1 0 0 -1 -2 0 -3 -2 2
1 1 0 0 1 -1 -1 -1 1 -1 2 2 1 -1 -1
1 0 -1 0 2 0 3 1 -2
0 0 0 0 1 -1 -1 -1 0 0 1 1 0 0 -1
2 -1 -1 1 2 1 2 2 -1
0 1 0 1 1 -1 0 -1 1 -1 1 2 1 -1 -1
0 0 -1 2 1 -1 3 1 -2
1 1 -1 0 1 -2 -1 -1 1 0 2 2 1 -1 -1
2 -1 -1 1 2 -1 4 2 -2
1 0 -1 0 0 -1 -1 0 1 0 1 1 0 -1 0
1 0 -1 0 1 1 2 1 -2
1 1 -1 1 1 -1 0 -1 1 0 1 2 0 -2 -1
1 0 -1 2 1 -1 3 2 -1
0 -1 1 -2 -1 1 -2 1 -1 0 0 -1 0 0 3
1 -1 0 -2 0 1 -2 -1 2
0 0 0 1 0 0 1 0 0 0 -1 0 -1 0 0
-1 0 0 1 -1 0 -1 0 0
0 1 0 1 0 -1 1 -1 0 0 1 0 1 1 -2
0 0 1 0 0 -1 1 0 -1
0 -1 0 -1 0 0 -1 0 0 0 0 0 0 1 0
1 0 -1 -1 1 2 0 0 -1
0 0 1 0 -1 1 1 0 -1 0 -1 -1 0 1 1
-2 0 1 -1 -2 -1 -3 -2 2
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe