The Lattice ((3+^(1+2):SL(2,3)) x 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 13:21:29 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
((3+^(1+2):SL(2,3)) x SL(2,3)).C2
-
DIMENSION
12
-
GRAM
12
4 2 -1 -1 0 -1 -1 1 2 -1 0 0
2 4 1 0 0 0 -1 0 1 -1 -1 0
-1 1 4 0 0 2 0 0 1 0 -1 0
-1 0 0 4 -1 1 0 1 0 1 2 -1
0 0 0 -1 4 1 2 1 -1 0 1 0
-1 0 2 1 1 4 2 1 0 1 1 -1
-1 -1 0 0 2 2 4 0 -1 0 1 0
1 0 0 1 1 1 0 4 1 1 2 -1
2 1 1 0 -1 0 -1 1 4 0 1 1
-1 -1 0 1 0 1 0 1 0 4 2 2
0 -1 -1 2 1 1 1 2 1 2 4 1
0 0 0 -1 0 -1 0 -1 1 2 1 4
-
DIVISORS
1 1 1 1 1 1 2 2 6 6 6 6
-
MINIMAL_NORM
4
-
KISSING_NUMBER
216
-
GROUP_ORDER
31104
-
GROUP_NAME
((3+^(1+2):SL(2,3)) x SL(2i,3)).C2
-
GROUP_GENERATORS
3
12
0 0 1 -1 0 -1 0 -1 0 1 1 -2
0 0 0 0 0 0 0 -1 0 1 0 -1
0 0 -1 0 0 1 0 0 0 0 0 0
0 0 -1 1 1 1 0 0 1 0 -2 1
-1 1 0 -1 -1 -1 1 0 0 0 1 -1
0 0 0 0 0 0 1 0 0 0 0 0
0 0 0 0 0 -1 1 0 0 0 0 0
0 1 1 -2 -1 -1 1 -1 0 1 2 -2
0 0 0 -1 0 0 0 0 0 1 0 -1
-1 1 0 -1 0 0 0 0 0 0 1 0
-1 1 0 -1 0 -1 1 0 1 1 0 -1
-1 1 0 -1 0 -1 0 0 0 1 1 -1
12
1 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 -1 0 -1 -1 0 1
-1 1 0 -1 -1 -1 1 0 0 0 1 -1
0 0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 0 -1 0 0 0 0
0 0 0 0 0 0 0 -1 0 0 1 0
0 0 0 0 0 -1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 -1 0 0 0
-1 0 -1 0 1 0 0 0 1 0 -1 0
0 0 0 0 0 -1 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0 0 0 0
12
1 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0 0 0 0
-1 1 0 -1 0 -1 1 -1 1 1 1 -2
1 -1 0 2 1 0 0 0 0 0 -2 1
0 0 1 0 0 -1 1 0 0 0 0 0
0 0 1 0 0 -2 1 0 0 1 0 -1
1 0 1 0 0 -1 1 -1 0 1 1 -1
0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 -1 0 1 0 0 0 0 0
0 0 0 0 0 -1 1 -1 1 1 0 -1
0 0 0 0 -1 0 0 0 0 0 0 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe