The Lattice (PSL(2,11) x D12).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 13:22:58 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
(PSL(2,11) x D12).C2
-
DIMENSION
20
-
GRAM
20
8 2 -2 1 -2 -1 -1 1 1 0 -2 2 0 -1 0
1 3 2 1 2
2 8 2 0 0 4 -1 -1 -2 -2 2 0 2 0 1
-1 0 1 1 2
-2 2 8 0 0 2 0 -2 1 2 1 0 1 3 3
2 2 2 3 2
1 0 0 8 -2 0 0 0 1 -2 0 0 -2 2 -2
2 2 -1 4 -1
-2 0 0 -2 8 2 3 2 0 2 0 1 3 0 2
0 0 0 -1 1
-1 4 2 0 2 8 0 0 1 0 2 -1 2 2 0
0 1 0 1 2
-1 -1 0 0 3 0 8 -2 -1 0 0 2 4 2 0
0 0 -2 0 1
1 -1 -2 0 2 0 -2 8 1 1 0 1 0 2 2
2 2 0 -2 0
1 -2 1 1 0 1 -1 1 8 0 0 0 2 3 0
2 2 2 3 0
0 -2 2 -2 2 0 0 1 0 8 -3 -1 0 -1 2
0 2 2 0 3
-2 2 1 0 0 2 0 0 0 -3 8 2 0 2 -2
0 0 -2 0 -2
2 0 0 0 1 -1 2 1 0 -1 2 8 0 2 2
2 2 0 2 -1
0 2 1 -2 3 2 4 0 2 0 0 0 8 3 1
1 0 1 0 3
-1 0 3 2 0 2 2 2 3 -1 2 2 3 8 1
4 2 0 4 0
0 1 3 -2 2 0 0 2 0 2 -2 2 1 1 8
4 2 4 -1 2
1 -1 2 2 0 0 0 2 2 0 0 2 1 4 4
8 4 1 2 1
3 0 2 2 0 1 0 2 2 2 0 2 0 2 2
4 8 -1 2 0
2 1 2 -1 0 0 -2 0 2 2 -2 0 1 0 4
1 -1 8 0 4
1 1 3 4 -1 1 0 -2 3 0 0 2 0 4 -1
2 2 0 8 0
2 2 2 -1 1 2 1 0 0 3 -2 -1 3 0 2
1 0 4 0 8
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 11 11 11 11 11 11 11 11 11 11
-
MINIMAL_NORM
8
-
KISSING_NUMBER
660
-
GROUP_ORDER
15840
-
GROUP_NAME
(PSL(211) x D12).C2
-
GROUP_GENERATORS
2
20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0
1 -1 0 1 0 0 -1 -1 0 0 0 0 1 1 1
-1 0 -1 -1 0
4 -5 0 3 2 1 -5 -4 -2 0 2 0 3 3 5
-4 -1 -3 -1 1
-2 3 0 -2 -1 0 3 2 1 0 -1 0 -2 -1 -3
2 1 2 0 -1
-1 1 0 -1 -1 0 2 2 0 0 0 0 0 -2 -2
1 1 2 1 -1
-1 0 0 -1 -1 1 2 2 -1 -1 0 -1 0 -2 -1
1 1 2 2 -1
0 0 1 -1 -1 1 2 2 0 0 0 0 0 -2 -1
1 -1 1 1 -1
-2 1 0 -1 -1 0 1 1 0 0 -1 1 0 -1 -2
1 1 1 0 0
-1 1 0 0 -1 0 1 1 1 0 0 0 0 -1 0
0 0 0 0 0
-3 4 0 -2 -1 -1 3 2 1 0 -2 1 -2 -1 -5
3 1 3 0 -1
-4 6 0 -2 -1 -1 4 2 2 1 -3 1 -3 -1 -6
4 1 3 -1 -1
-1 0 0 -2 -2 1 3 3 -1 -1 0 -1 0 -3 -1
1 1 2 3 -1
0 -1 0 0 -1 1 1 1 -1 0 0 0 1 -1 0
0 0 1 1 -1
-1 2 1 -1 -1 0 3 2 1 0 -1 0 -1 -2 -2
2 0 1 0 -1
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0
0 0 1 0 -1 0 1 1 0 0 0 0 0 -1 0
0 0 0 0 0
1 -1 -1 2 1 0 -3 -3 0 1 0 1 1 3 2
-2 0 -2 -2 1
1 -2 1 0 -1 1 1 2 -1 -1 1 -1 1 -2 1
-1 0 0 2 0
20
-6 8 0 -3 -1 -2 5 3 3 1 -4 2 -4 -2 -8
5 2 4 -1 -1
-2 2 1 -2 -1 0 3 3 0 -1 -1 0 -1 -3 -3
2 1 3 2 -1
2 -4 0 1 0 1 -1 0 -2 -1 2 -1 2 -1 3
-2 0 0 2 0
3 -3 0 2 2 0 -4 -3 -1 0 1 0 2 2 3
-2 -1 -3 -1 1
0 -1 1 -1 -1 1 2 2 -1 -1 0 -1 0 -2 0
0 0 1 2 -1
1 -2 0 0 0 1 0 0 -1 -1 1 -1 1 -1 2
-1 0 0 2 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 0 0 0 0
-1 2 1 -1 -1 0 3 2 1 0 -1 0 -1 -2 -2
2 0 1 0 -1
2 -2 -1 2 1 0 -3 -3 0 1 1 0 1 2 4
-2 -1 -3 -1 1
0 -1 0 0 -1 1 1 1 -1 0 0 0 1 -1 0
0 0 1 1 -1
2 -1 0 1 1 0 -1 -1 0 0 1 -1 0 1 2
-1 -1 -1 0 0
-2 2 1 -1 -1 0 3 3 1 0 -1 0 -1 -3 -3
2 0 2 1 -1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
-1 0 0 0 0
2 -2 0 2 1 0 -2 -2 0 0 1 0 1 1 3
-2 -1 -2 -1 1
-2 1 1 -2 -2 1 4 4 0 -1 -1 0 -1 -4 -3
2 1 3 2 -1
1 -1 0 1 1 0 -1 -1 0 0 0 0 0 1 1
-1 0 -1 -1 1
0 0 0 0 0 0 1 1 0 0 0 0 0 -1 0
0 0 0 1 0
-3 3 0 -2 -1 0 3 2 1 0 -2 1 -2 -2 -4
3 1 3 0 -1
2 -3 0 2 1 0 -3 -2 -1 0 1 0 2 1 3
-2 -1 -2 0 1
-2 2 0 -2 -1 0 3 2 0 0 -1 0 -1 -2 -3
2 1 3 1 -1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe