The Lattice ((SL(2,3) Y C4).C2 x PSU(3,3)).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 13:24:38 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(2,3) Y C4).C2 x PSU(3,3)).C2
-
DIMENSION
24
-
GRAM
24
8 2 2 -2 -2 -3 -3 -1 1 -1 0 0 0 2 -3
0 2 2 4 4 -1 0 2 -2
2 8 3 -2 0 -1 -1 -4 0 0 -2 2 -1 4 -2
0 2 4 -2 2 3 -2 4 2
2 3 8 0 0 -3 -2 -2 -1 2 -2 1 1 4 -4
-3 4 3 1 0 0 -4 3 1
-2 -2 0 8 -2 0 0 0 -2 2 0 -1 2 -3 0
0 2 -4 -2 -4 -4 0 -1 0
-2 0 0 -2 8 2 2 -1 0 -2 2 -2 -1 2 2
-1 -1 2 1 -1 4 -2 -1 2
-3 -1 -3 0 2 8 2 -1 2 -4 2 -3 0 -1 2
-2 -2 -2 0 -2 4 4 -1 -2
-3 -1 -2 0 2 2 8 2 -1 0 0 -1 -2 0 1
0 -4 -2 -3 -2 1 2 2 3
-1 -4 -2 0 -1 -1 2 8 -2 2 0 -1 1 -2 1
3 -2 -2 0 0 -3 2 0 2
1 0 -1 -2 0 2 -1 -2 8 -4 0 1 1 1 0
-4 0 -2 2 3 4 2 -2 -4
-1 0 2 2 -2 -4 0 2 -4 8 -4 3 0 0 -1
2 3 1 -2 0 -4 -4 2 4
0 -2 -2 0 2 2 0 0 0 -4 8 -4 3 0 1
1 -2 -3 2 -3 0 2 -4 -4
0 2 1 -1 -2 -3 -1 -1 1 3 -4 8 -2 1 -2
2 3 2 -2 3 0 -3 0 2
0 -1 1 2 -1 0 -2 1 1 0 3 -2 8 0 -4
0 3 -4 3 -2 -2 2 -3 -3
2 4 4 -3 2 -1 0 -2 1 0 0 1 0 8 -2
-2 1 2 2 2 3 -3 3 1
-3 -2 -4 0 2 2 1 1 0 -1 1 -2 -4 -2 8
0 -4 0 -3 -1 2 0 -1 1
0 0 -3 0 -1 -2 0 3 -4 2 1 2 0 -2 0
8 0 1 -2 0 -3 0 -1 2
2 2 4 2 -1 -2 -4 -2 0 3 -2 3 3 1 -4
0 8 1 1 0 -1 -2 0 1
2 4 3 -4 2 -2 -2 -2 -2 1 -3 2 -4 2 0
1 1 8 0 3 2 -4 3 3
4 -2 1 -2 1 0 -3 0 2 -2 2 -2 3 2 -3
-2 1 0 8 3 0 0 -2 -4
4 2 0 -4 -1 -2 -2 0 3 0 -3 3 -2 2 -1
0 0 3 3 8 2 -2 1 -1
-1 3 0 -4 4 4 1 -3 4 -4 0 0 -2 3 2
-3 -1 2 0 2 8 0 0 0
0 -2 -4 0 -2 4 2 2 2 -4 2 -3 2 -3 0
0 -2 -4 0 -2 0 8 -1 -2
2 4 3 -1 -1 -1 2 0 -2 2 -4 0 -3 3 -1
-1 0 3 -2 1 0 -1 8 4
-2 2 1 0 2 -2 3 2 -4 4 -4 2 -3 1 1
2 1 3 -4 -1 0 -2 4 8
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 6 6 6 6 6 6 6 6 6 6 6 6
-
MINIMAL_NORM
8
-
KISSING_NUMBER
10584
-
GROUP_ORDER
1161216
-
GROUP_NAME
((SL(23) Y C4).C2 x PSU(33)).C2
-
GROUP_GENERATORS
3
24
-1 0 -1 1 1 -1 0 1 -1 0 0 1 0 0 0
-1 1 1 0 0 1 1 1 -2
0 -1 -1 1 1 -1 0 0 -1 0 1 2 1 0 0
-1 0 1 0 0 1 1 2 -1
0 0 -2 1 0 -1 0 1 0 1 1 1 0 0 -1
-1 0 1 0 -1 2 0 1 -1
1 0 -1 0 -1 1 0 1 0 -1 -1 -1 0 1 -1
0 0 0 -1 -1 0 -2 -1 0
0 0 1 0 1 0 -1 -1 1 1 1 0 0 -1 0
1 -1 -1 0 1 0 1 1 1
1 -1 0 0 0 0 -1 -1 0 0 0 0 1 0 0
0 -1 0 -1 0 0 0 0 1
0 0 2 1 1 0 -1 -1 1 2 1 0 0 0 0
1 -2 0 0 1 0 2 0 1
0 2 2 0 0 1 0 0 1 1 0 0 -1 -1 1
1 -1 -1 2 0 -1 0 -1 1
0 -1 -1 0 0 -1 0 0 0 0 -1 0 1 0 0
0 0 1 0 -1 1 0 1 -1
-1 1 0 1 0 -1 0 1 0 1 1 0 -2 0 -1
0 0 0 1 0 1 1 0 -1
1 0 0 -1 -1 1 1 0 0 -2 -1 -1 1 0 1
0 1 0 -1 0 -1 -2 -1 1
-1 0 0 0 0 -1 0 0 -1 0 0 1 0 0 0
0 0 0 1 0 1 1 1 -1
2 0 -1 0 -1 1 1 1 0 -1 -1 0 1 0 0
-1 0 1 -1 -1 0 -2 -1 0
-1 0 0 1 0 -1 0 0 1 1 2 1 0 -1 0
0 0 1 1 0 1 1 2 0
-1 1 2 -1 0 0 0 -1 1 0 0 -1 -1 -1 1
2 0 -2 2 0 -1 0 0 1
0 1 1 -1 0 1 1 0 -1 -2 -1 0 0 0 1
0 1 -1 0 1 -2 -1 -1 0
0 0 -2 1 0 -1 0 1 -1 0 0 1 0 0 -1
-1 0 1 0 -1 2 0 1 -2
-1 0 -1 0 1 -1 0 0 -1 0 1 1 0 0 0
-1 1 0 0 1 0 1 1 -1
0 0 -1 0 0 0 0 1 0 0 0 0 0 0 0
-1 1 1 -1 0 0 0 0 -1
-1 0 -1 0 1 -1 0 1 -1 0 0 1 0 0 0
-1 1 1 0 0 0 1 1 -2
0 -1 0 0 1 -1 -1 -1 0 1 1 1 1 -1 0
0 -1 0 0 0 1 1 2 0
1 0 1 0 0 1 0 -1 0 0 -1 0 1 0 1
0 -1 0 0 0 -1 0 -1 1
-1 0 0 2 1 -1 -1 0 1 2 2 1 -1 0 -1
0 -1 1 1 0 1 2 1 0
-1 1 2 1 1 0 -1 -1 1 2 2 1 -1 -1 0
1 -2 -1 2 1 0 2 1 1
24
0 0 1 0 0 0 0 -1 1 1 1 0 0 -1 0
1 -1 -1 1 0 1 0 1 1
-1 -1 0 2 1 -1 -1 0 0 2 2 1 0 0 -1
0 -1 1 0 1 2 2 2 -1
0 0 -1 0 0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 -1 1 0
1 0 -2 0 0 0 0 1 -1 -1 -1 -1 0 1 -1
-1 1 1 -2 0 0 -1 -1 -1
0 -1 -1 0 -1 0 0 0 0 -1 0 0 1 0 -1
-1 0 1 -1 0 0 -1 0 1
-1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
0 0 1 0 0 0 1 0 -1
1 0 0 0 0 1 0 0 0 0 0 1 1 0 0
-1 -1 1 0 0 -1 0 -1 1
1 1 1 -1 0 1 1 0 0 -1 -1 0 0 0 1
0 0 -1 0 0 -2 -1 -2 1
-1 0 2 0 0 0 -1 -1 2 1 0 -1 -1 0 0
2 -1 -1 1 0 0 1 0 1
1 0 0 0 1 1 0 0 -1 0 0 1 1 0 1
-1 0 0 -1 1 -1 0 0 0
0 0 0 -1 -2 0 1 0 0 -1 0 -1 0 0 0
0 1 0 0 0 0 -1 -1 1
0 0 -1 0 1 0 0 1 -1 0 -1 0 0 1 0
-1 1 0 -1 0 0 0 0 -2
0 1 1 -1 -1 1 0 0 1 0 0 -1 -1 0 0
1 0 -1 0 0 -1 -1 -1 1
0 -2 0 0 0 0 -1 -1 0 1 1 0 1 0 -1
0 -1 0 -1 1 1 0 1 1
0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0
0 0 1 0 0 1 1 0 0
0 1 0 0 0 0 1 1 -1 0 0 0 -1 0 0
-1 1 0 0 0 0 0 -1 -1
0 0 -2 0 0 0 0 1 0 0 0 -1 0 1 -1
-1 1 1 -2 0 0 -1 0 -1
-1 0 0 1 1 -1 0 0 0 1 1 1 0 -1 0
0 0 0 1 0 1 1 2 -1
0 0 1 -2 -1 1 0 -1 1 -1 0 -1 0 -1 0
1 0 -2 0 0 -1 -2 0 2
-1 0 2 0 1 0 -1 -1 1 1 1 0 -1 -1 0
1 -1 -2 1 1 0 1 1 1
-1 -1 0 1 0 -1 -1 0 1 1 1 0 0 0 -1
0 -1 1 0 0 1 1 1 0
0 1 1 0 0 0 0 0 1 1 0 0 -1 0 0
1 -1 0 1 -1 0 1 -1 0
0 -1 0 1 1 0 0 -1 0 1 1 1 1 0 0
0 -1 1 0 1 0 1 1 0
1 -1 -2 1 1 0 0 1 -1 0 0 1 1 1 -1
-2 0 2 -2 0 0 0 0 -1
24
0 -1 -1 0 0 0 1 0 -1 -1 0 0 1 1 0
-1 1 2 -2 1 -1 0 0 -1
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 0 1 0 -1 0 0 0 0 0 0 0 -1
0 -1 0 -1 0 0 0 0 0
0 0 2 0 0 0 0 -1 0 0 -1 0 0 0 1
1 -1 -1 1 0 0 1 -1 1
0 0 -2 1 1 -1 -1 1 -1 1 0 1 0 0 -1
-1 0 1 0 -1 2 1 1 -2
0 0 0 1 0 -1 -1 0 1 2 1 0 -1 -1 -1
0 -1 0 1 -1 2 1 1 0
0 0 -1 0 0 -1 0 1 0 1 0 -1 -1 0 -1
0 1 0 0 -1 2 0 0 -1
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
1 -1 -2 0 0 0 0 1 -1 -1 0 0 0 1 -1
-2 1 1 -2 0 0 -1 0 -1
0 1 2 -1 0 1 0 -1 0 0 0 0 0 -1 1
1 -1 -2 1 1 -1 0 -1 2
1 -1 -1 0 0 0 0 0 0 0 -1 0 1 1 0
0 0 1 -1 -1 0 0 0 -1
0 1 1 0 0 1 0 0 0 0 1 0 -1 0 0
0 0 -1 0 1 -1 0 -1 1
2 -1 -1 0 0 1 0 0 0 -1 -1 0 2 1 0
-1 -1 1 -2 0 -1 -1 -1 1
1 0 0 0 1 1 -1 0 0 1 0 0 0 0 -1
0 -1 0 -1 0 0 0 0 0
-1 1 1 0 0 -1 0 0 0 1 0 1 -1 -1 1
1 0 -1 3 -1 1 1 1 -1
0 1 1 0 -1 1 1 0 1 0 0 0 0 0 1
1 0 0 1 0 -1 0 -1 1
0 0 1 1 1 0 -1 -1 0 1 1 1 0 0 0
0 -2 0 0 1 0 2 0 1
-1 1 0 0 0 0 0 0 0 0 1 1 0 -1 0
0 0 0 1 0 0 0 1 0
1 -2 -2 0 0 1 0 0 -1 -1 0 0 2 1 -1
-2 0 2 -3 1 -1 -1 0 0
0 0 -2 -1 -1 1 1 1 -1 -2 0 -1 0 1 -1
-2 2 1 -2 1 -2 -2 -1 0
0 0 -2 1 0 -1 -1 1 0 1 1 0 -1 0 -2
-1 0 1 0 -1 2 0 1 -1
0 -1 0 1 0 -1 0 0 1 1 1 0 0 0 0
0 0 1 0 0 1 1 1 0
-1 1 1 0 1 -1 0 0 0 1 0 0 -1 -1 0
1 0 -1 1 0 1 1 1 -1
-1 1 1 1 1 -1 -1 0 0 2 1 1 -1 -1 0
1 -1 -1 2 0 2 2 1 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe