The Lattice (PSL(2,7) x D8):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 13:21:41 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(2,7) x D8):C2
-
DIMENSION
12
-
GRAM
12
8 -2 -4 4 -2 -3 1 3 4 -4 4 4
-2 8 4 -2 -3 4 3 -4 -1 2 -1 -1
-4 4 8 -1 1 3 3 -3 0 1 -4 -4
4 -2 -1 8 -2 0 3 0 0 0 4 3
-2 -3 1 -2 8 1 -4 0 0 0 -2 -1
-3 4 3 0 1 8 2 -4 -1 2 -1 -2
1 3 3 3 -4 2 8 -3 1 1 -1 -2
3 -4 -3 0 0 -4 -3 8 4 -2 0 3
4 -1 0 0 0 -1 1 4 8 -4 0 0
-4 2 1 0 0 2 1 -2 -4 8 0 -1
4 -1 -4 4 -2 -1 -1 0 0 0 8 4
4 -1 -4 3 -1 -2 -2 3 0 -1 4 8
-
DIVISORS
1 1 1 1 1 1 14 14 14 14 14 14
-
MINIMAL_NORM
8
-
KISSING_NUMBER
336
-
GROUP_ORDER
2688
-
GROUP_NAME
(PSL(2,7) x D8):C2
-
GROUP_GENERATORS
2
12
0 -1 1 0 -1 0 -1 -1 1 1 0 1
1 -1 1 -1 -1 1 0 1 -1 0 0 0
-1 1 -1 0 1 0 2 2 -1 -1 1 -1
0 0 0 0 0 0 0 0 0 0 1 0
-2 2 -2 2 2 -1 1 1 0 -1 0 -1
1 0 0 0 0 0 0 1 -1 0 0 -1
0 0 0 -1 0 0 1 1 -1 0 1 0
0 -1 0 0 -1 0 -1 -2 2 1 -1 1
0 -2 1 -1 -1 0 0 -1 1 1 0 1
0 1 -1 0 1 0 1 1 -1 -1 0 0
2 -2 2 -1 -1 1 -1 -1 0 1 0 1
1 -2 1 0 -2 1 -2 -2 1 1 -1 1
12
0 -2 1 -1 -1 0 0 -1 1 1 0 1
0 1 -1 0 1 0 1 0 0 0 0 0
0 1 -1 1 0 0 -1 -1 1 0 -1 0
0 -1 0 0 -1 0 -1 -1 1 1 -1 0
-1 2 -1 2 1 -1 0 1 0 -1 0 -1
-2 3 -2 2 2 -1 1 1 0 -1 0 -1
-1 0 -1 0 0 0 0 -1 1 0 0 0
0 -1 1 -1 -1 0 0 0 0 0 0 1
-1 0 0 0 0 -1 0 -1 1 0 0 1
0 1 -1 0 1 0 1 1 -1 -1 0 -1
1 -1 1 -1 0 0 0 0 0 1 0 0
1 -1 1 -1 -1 0 0 0 0 1 0 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe