The Lattice (C2 x PSL(3,4)).(C2 x S3)
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 13:22:53 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
(C2 x PSL(3,4)).(C2 x S3)
-
DIMENSION
20
-
GRAM
20
4 0 -2 -1 -1 -2 0 -2 2 1 2 -2 -2 -1 2
-2 -2 -2 -2 1
0 4 1 -2 1 0 2 0 1 1 1 -1 1 -2 2
-2 1 1 -1 1
-2 1 4 -1 0 0 1 2 -1 0 -1 1 2 -1 -1
0 1 0 2 0
-1 -2 -1 4 -1 0 0 1 -2 -2 0 0 -1 1 -2
1 -1 1 0 -2
-1 1 0 -1 4 2 -1 -1 0 1 0 0 0 0 1
1 1 2 -1 1
-2 0 0 0 2 4 0 1 -1 -1 -1 2 0 2 -1
2 2 2 0 1
0 2 1 0 -1 0 4 1 0 0 0 0 1 -1 1
-2 1 1 0 1
-2 0 2 1 -1 1 1 4 -1 -1 0 2 1 1 -2
0 1 1 2 0
2 1 -1 -2 0 -1 0 -1 4 1 1 -1 0 -1 2
-2 -1 0 0 1
1 1 0 -2 1 -1 0 -1 1 4 0 -1 0 0 2
-1 1 -1 0 2
2 1 -1 0 0 -1 0 0 1 0 4 -1 -1 -1 1
-2 -2 0 -2 1
-2 -1 1 0 0 2 0 2 -1 -1 -1 4 1 2 -1
1 2 1 2 1
-2 1 2 -1 0 0 1 1 0 0 -1 1 4 -1 0
0 1 1 2 0
-1 -2 -1 1 0 2 -1 1 -1 0 -1 2 -1 4 -1
2 1 0 1 1
2 2 -1 -2 1 -1 1 -2 2 2 1 -1 0 -1 4
-2 0 0 -1 2
-2 -2 0 1 1 2 -2 0 -2 -1 -2 1 0 2 -2
4 1 0 1 -1
-2 1 1 -1 1 2 1 1 -1 1 -2 2 1 1 0
1 4 1 1 1
-2 1 0 1 2 2 1 1 0 -1 0 1 1 0 0
0 1 4 0 0
-2 -1 2 0 -1 0 0 2 0 0 -2 2 2 1 -1
1 1 0 4 0
1 1 0 -2 1 1 1 0 1 2 1 1 0 1 2
-1 1 0 0 4
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 42
-
MINIMAL_NORM
4
-
KISSING_NUMBER
15120
-
GROUP_ORDER
483840
-
GROUP_NAME
(C2 x PSL(34)).(C2 x S3)
-
GROUP_GENERATORS
3
20
-5 -3 -2 -4 -1 -2 1 1 -1 -1 1 -2 -2 -1 1
0 0 1 0 1
0 1 0 0 0 -1 -1 1 0 -1 -1 0 0 0 0
0 0 0 -1 1
5 3 2 4 0 1 -2 -1 1 0 -1 1 2 1 -1
0 1 0 0 0
1 0 0 0 0 2 0 -1 -1 1 1 0 0 0 0
-1 0 0 2 -1
0 1 -1 -1 1 -2 1 1 0 0 -1 1 0 1 -1
1 -1 0 -1 0
0 0 -1 -1 1 -1 1 1 0 0 -1 1 0 0 0
1 -1 0 -1 0
0 0 0 0 0 0 -1 0 0 -1 0 -1 0 0 0
-1 1 0 0 1
4 2 2 3 -1 2 -2 -1 0 1 -1 1 1 0 0
0 0 1 0 0
-3 -2 0 -2 -2 -1 0 1 0 0 0 -1 -1 -1 1
1 0 1 -2 1
0 0 0 0 1 -1 0 0 0 -1 0 -1 0 1 -1
-1 1 0 0 0
-3 -1 -1 -3 -2 -1 0 1 -1 0 0 -1 -2 -1 1
1 -1 2 0 1
2 1 1 2 0 1 0 0 1 1 -1 1 1 0 0
1 -1 0 -1 0
3 3 2 4 0 1 -1 -1 2 1 -1 2 1 0 -1
1 0 -1 -1 0
0 -1 0 0 1 0 1 0 0 0 0 0 0 0 0
0 0 0 0 0
-3 -1 -1 -2 0 -2 1 1 0 -1 0 -1 -1 0 0
0 0 0 -1 1
2 1 0 1 2 0 1 -1 0 0 0 1 1 1 -1
0 0 -1 1 -1
2 1 0 1 2 0 0 0 0 -1 -1 0 1 1 -1
-1 0 -1 0 0
1 1 0 0 0 0 0 1 0 1 -1 1 0 0 0
1 -1 0 -1 0
5 2 3 4 0 2 -1 -2 1 1 0 1 2 1 -1
0 1 0 0 -1
-2 -1 -1 -2 0 -2 1 1 0 -1 0 -1 -1 0 0
1 0 1 -1 1
20
-5 -3 -2 -4 -1 -1 1 1 -1 -1 1 -2 -2 -1 1
0 0 0 0 1
1 1 0 0 1 -2 0 0 0 -1 -1 0 0 1 -1
0 0 0 0 1
5 2 2 3 1 1 -1 -1 0 0 0 0 2 2 -1
-1 1 0 1 -1
-1 -1 -1 -1 0 0 1 1 0 1 0 1 0 -1 1
1 -1 0 -1 -1
1 1 0 1 1 -1 0 0 0 0 -1 1 0 0 -1
0 0 0 0 1
1 2 1 2 0 0 0 0 1 1 -1 2 0 0 0
1 -1 0 -1 0
1 0 1 0 0 0 0 0 0 0 0 0 0 1 1
0 0 0 0 -1
2 1 1 1 1 0 0 0 0 0 0 0 1 1 0
0 0 0 0 -1
-2 -1 -1 -2 0 -1 0 0 -1 -2 0 -2 -1 0 0
-1 1 0 1 1
0 -1 1 0 0 0 -1 0 0 -1 0 -1 0 0 0
-1 1 0 0 1
-4 -2 -3 -4 1 -3 2 2 -1 -1 0 -1 -2 -1 0
1 -1 0 0 1
2 2 2 3 0 1 -1 -1 1 1 0 1 1 1 0
0 0 0 0 -1
4 2 1 2 1 1 -1 -1 0 0 0 0 1 1 -1
-1 1 0 2 -1
-1 0 1 1 -1 1 0 0 1 1 0 1 0 -1 1
1 -1 0 -1 0
-2 -1 -1 -2 0 -1 0 0 -1 -1 0 -1 -1 0 0
-1 0 0 1 1
2 2 1 3 -1 2 -1 0 1 2 -1 2 1 -1 0
1 -1 0 -1 0
3 2 3 3 -1 1 -2 -1 1 1 -1 1 1 1 0
0 0 1 -1 0
1 1 0 1 1 -1 0 0 0 0 -1 1 0 0 0
0 0 0 0 0
4 2 2 3 0 2 -2 -1 0 0 0 0 2 1 0
-1 1 0 1 -1
-2 -1 0 -1 0 -1 0 1 0 -1 0 -1 -1 0 1
0 0 0 0 1
20
-3 -1 -2 -2 1 -2 2 1 0 -1 0 0 -1 -1 0
1 -1 -1 0 1
1 0 1 1 -1 0 -1 0 0 0 -1 0 1 0 0
0 0 1 -1 1
4 2 3 4 0 2 -2 -2 1 1 0 1 2 1 -1
-1 1 0 0 -1
-1 -1 -1 -1 0 0 0 1 0 0 0 0 -1 -1 1
0 0 0 0 0
0 1 0 0 -1 0 0 0 0 1 -1 1 0 0 0
1 -1 1 -1 0
1 0 0 -1 0 0 0 0 -1 0 0 0 0 1 0
0 0 1 0 -1
1 -1 1 1 0 1 -1 0 0 -1 0 -1 1 0 1
-1 1 0 0 0
2 0 1 1 1 0 -1 0 0 0 0 0 1 1 0
-1 1 0 0 -1
-1 0 -1 -1 0 -1 1 1 0 0 0 0 0 0 0
1 -1 0 0 0
-1 -1 0 -1 0 0 1 0 0 0 0 -1 0 0 0
0 0 0 0 0
-3 -1 -2 -2 1 -3 1 2 0 -1 -1 0 -1 -1 0
1 -1 0 -1 2
2 1 1 2 1 1 -1 0 0 0 0 0 1 1 0
-1 1 -1 0 -1
2 1 2 2 -1 1 -2 -1 0 0 0 -1 1 1 0
-1 1 1 0 0
-2 -2 -1 -3 0 0 1 1 -1 0 1 -1 -1 0 1
0 0 0 0 -1
-1 0 0 0 -1 0 0 1 0 0 -1 0 0 -1 1
1 -1 0 -1 1
0 0 0 -1 -1 1 0 -1 -1 1 1 0 -1 0 0
0 0 1 1 -1
2 0 1 1 0 2 -1 -1 -1 0 0 -1 1 1 0
-2 1 0 1 -1
0 0 0 0 -1 0 -1 1 0 0 -1 0 0 0 1
0 0 1 -1 0
3 1 2 2 0 2 -1 -1 0 1 1 0 1 1 0
-1 1 0 1 -2
-1 -1 -1 -2 1 -1 1 1 -1 -1 0 -1 0 0 0
0 0 0 0 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe