The Lattice (SL(2,11) 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 13:24:27 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(2,11) Y SL(2,3)).C2
-
DIMENSION
24
-
GRAM
24
12 3 6 4 6 6 6 4 6 3 6 4 1 2 1
0 3 3 2 4 -1 1 2 4
3 12 4 6 2 2 2 6 6 6 3 4 0 1 4
3 1 2 2 2 4 3 0 1
6 4 12 6 4 6 4 6 6 6 6 4 1 1 4
1 4 2 2 6 0 1 4 3
4 6 6 12 1 4 3 6 4 6 3 2 -1 0 -2
1 -2 -2 0 2 2 2 2 1
6 2 4 1 12 4 3 3 6 3 6 1 4 2 3
2 6 2 2 6 0 2 3 4
6 2 6 4 4 12 6 6 3 2 4 6 3 1 2
1 2 6 4 3 2 4 6 1
6 2 4 3 3 6 12 6 3 1 6 3 2 2 1
-1 1 3 1 4 2 4 4 4
4 6 6 6 3 6 6 12 4 4 6 2 -1 -2 2
-1 0 0 -2 3 -2 2 2 2
6 6 6 4 6 3 3 4 12 6 4 2 2 1 2
3 3 2 1 6 1 3 0 3
3 6 6 6 3 2 1 4 6 12 4 -2 1 3 2
2 1 0 2 4 2 -1 -2 0
6 3 6 3 6 4 6 6 4 4 12 1 2 4 4
2 4 0 1 6 -1 2 2 6
4 4 4 2 1 6 3 2 2 -2 1 12 3 1 4
2 3 6 2 2 4 4 4 2
1 0 1 -1 4 3 2 -1 2 1 2 3 12 6 4
6 6 6 2 2 4 3 2 4
2 1 1 0 2 1 2 -2 1 3 4 1 6 12 3
6 4 2 4 2 2 6 0 2
1 4 4 -2 3 2 1 2 2 2 4 4 4 3 12
6 6 6 6 6 4 2 4 4
0 3 1 1 2 1 -1 -1 3 2 2 2 6 6 6
12 6 4 6 4 6 4 3 2
3 1 4 -2 6 2 1 0 3 1 4 3 6 4 6
6 12 6 4 6 2 3 1 6
3 2 2 -2 2 6 3 0 2 0 0 6 6 2 6
4 6 12 6 3 6 3 2 3
2 2 2 0 2 4 1 -2 1 2 1 2 2 4 6
6 4 6 12 4 6 3 6 1
4 2 6 2 6 3 4 3 6 4 6 2 2 2 6
4 6 3 4 12 1 3 3 6
-1 4 0 2 0 2 2 -2 1 2 -1 4 4 2 4
6 2 6 6 1 12 2 4 2
1 3 1 2 2 4 4 2 3 -1 2 4 3 6 2
4 3 3 3 3 2 12 3 4
2 0 4 2 3 6 4 2 0 -2 2 4 2 0 4
3 1 2 6 3 4 3 12 2
4 1 3 1 4 1 4 2 3 0 6 2 4 2 4
2 6 3 1 6 2 4 2 12
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 22 22 22 22 22 22 22 22 22 22
22 22
-
MINIMAL_NORM
12
-
KISSING_NUMBER
1320
-
GROUP_ORDER
31680
-
GROUP_NAME
(SL(211) Y SL(23)).C2
-
GROUP_GENERATORS
2
24
-2 1 0 0 1 1 2 -2 0 1 -1 1 -1 0 0
1 0 0 0 -1 -2 -1 0 2
-1 0 -1 0 0 0 0 0 1 1 0 1 -1 1 -1
0 0 1 0 0 -1 -1 1 1
-2 1 -1 0 1 1 2 -2 0 2 -1 1 -2 0 0
2 0 1 -1 -1 -3 -1 1 2
0 1 0 -1 0 0 0 0 0 0 0 0 0 0 -1
0 0 0 0 1 0 0 0 0
-2 1 0 0 1 1 2 -2 0 1 -1 1 -1 0 0
2 -1 0 0 -1 -2 -1 0 2
0 1 0 -1 0 1 0 0 0 0 -1 0 0 0 0
0 0 -1 0 0 0 0 0 1
-1 1 0 0 0 1 0 -1 0 0 0 0 0 0 0
0 0 0 0 0 -1 0 0 1
-1 1 -1 0 0 1 0 -1 1 0 0 0 -1 1 0
0 0 1 -1 0 -1 -1 1 1
-3 1 -1 1 1 1 2 -2 1 1 -1 1 -2 1 0
1 0 1 0 -1 -3 -2 1 2
-1 1 -1 0 0 0 1 -1 0 1 0 1 -1 0 -1
1 0 1 0 0 -2 -1 1 1
-2 1 0 0 1 1 2 -2 0 1 -1 1 -1 0 0
2 -1 1 0 -1 -3 -1 0 2
0 0 0 -1 0 1 0 0 0 1 -1 0 0 0 0
0 0 -1 0 0 0 0 0 1
-1 1 0 0 0 2 1 -1 0 0 -1 0 0 0 0
1 0 -1 0 0 -1 -1 0 1
-1 0 0 0 0 1 1 0 0 0 -1 1 0 0 0
1 0 -1 1 0 -1 -1 -1 1
-1 0 0 0 1 1 1 -1 0 1 -1 1 -1 0 0
2 -1 0 0 -1 -2 -1 0 2
-1 0 0 0 1 1 1 0 0 0 -1 1 0 0 0
1 -1 -1 1 0 -1 -1 -1 1
-2 0 0 0 1 1 2 -1 0 1 -1 1 -1 0 0
2 -1 0 0 -1 -2 -1 0 2
0 0 0 0 0 1 0 0 0 0 -1 0 0 0 0
0 0 -1 0 0 0 0 0 1
0 0 1 -1 1 0 0 1 -1 0 -1 1 0 0 -1
1 -1 -1 1 0 0 0 -1 1
-2 1 0 0 1 1 2 -2 0 1 -1 1 -1 0 0
2 -1 0 0 -1 -3 -1 0 2
1 0 1 -1 0 0 -1 1 -1 0 0 0 1 -1 -1
0 -1 -1 1 1 1 1 -1 0
-1 0 0 0 0 1 0 1 1 -1 -1 0 0 1 0
0 0 -1 1 0 0 -1 -1 1
0 1 1 -1 1 1 0 0 -1 0 -1 0 0 0 0
1 -1 -1 0 0 0 0 -1 1
-2 1 1 0 1 2 2 -2 0 0 -1 0 -1 0 0
2 -1 0 0 -1 -2 -1 -1 2
24
0 0 1 -1 0 0 0 0 0 0 0 0 0 0 -1
0 0 0 0 0 1 0 0 0
-1 0 0 0 1 1 1 -1 0 1 -1 0 -1 0 0
1 0 0 0 -1 -1 0 0 1
0 0 0 -1 0 0 0 0 0 1 0 0 -1 0 -1
1 0 1 -1 0 0 0 1 0
0 0 1 -1 1 -1 0 0 -1 1 0 0 0 -1 -1
1 -1 1 0 0 0 1 0 0
0 0 1 -1 0 0 0 0 0 0 0 0 0 0 -1
0 0 0 0 0 0 0 0 0
0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 -1
0 0 0 0 0 1 0 0 0
1 0 1 -1 -1 0 -2 1 0 -1 1 -1 1 0 -1
-1 0 0 0 1 2 1 0 -1
0 0 1 -1 0 0 0 0 -1 1 0 0 0 -1 -1
1 0 0 0 0 0 1 0 0
0 0 0 -1 0 0 0 0 0 1 0 0 0 0 -1
0 0 0 0 0 0 0 1 0
-1 0 0 0 1 0 1 -1 0 1 0 0 -1 0 0
1 0 1 -1 -1 -1 0 1 0
0 0 1 -1 0 0 0 0 0 0 0 0 0 0 -1
1 0 0 0 0 0 0 0 0
-1 0 0 0 0 1 0 0 1 0 -1 0 -1 1 0
0 0 0 0 0 0 -1 0 1
-1 0 0 0 0 0 0 0 1 0 0 0 -1 1 0
0 0 1 0 -1 -1 -1 1 1
0 -1 0 0 0 0 0 0 1 0 0 0 0 0 1
0 0 0 0 -1 0 0 0 0
-1 0 0 0 0 1 1 0 1 0 -1 0 -1 1 0
1 0 0 0 -1 -1 -1 0 1
0 -1 0 0 0 -1 0 1 1 0 0 0 0 0 0
0 0 0 1 -1 0 0 0 0
-1 0 0 0 0 1 1 -1 1 0 0 0 -1 0 0
1 0 0 0 -1 -1 -1 0 1
-1 0 0 0 0 1 0 0 1 0 0 0 -1 1 0
0 0 0 0 -1 0 -1 0 1
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 0 0 0 -1 0 0 0 0
0 0 1 -1 0 0 0 0 0 0 0 0 0 0 -1
1 -1 0 0 0 0 0 0 0
0 0 0 0 0 0 -1 1 1 -1 0 -1 0 1 0
-1 0 0 0 0 1 0 0 0
1 -1 1 -1 0 0 -1 1 0 0 0 0 1 -1 0
0 -1 -1 1 0 1 1 -1 0
2 0 1 -1 -1 -1 -2 2 0 -1 0 -1 1 0 -1
-1 0 0 0 1 2 1 0 -1
0 0 1 -1 0 0 0 0 0 0 0 0 0 0 -1
1 -1 0 0 0 0 0 0 1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe