The Lattice (C2 x PSU(4,3)).D8
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 13:23:20 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 PSU(4,3)).D8
-
DIMENSION
21
-
GRAM
21
3 1 0 0 -1 -1 -1 -1 0 0 0 -1 0 0 1
0 -1 1 -1 0 -1
1 3 0 0 -1 -1 -1 0 0 0 1 -1 -1 0 1
0 0 0 -1 0 -1
0 0 3 0 0 0 0 -1 -1 0 -1 0 1 0 1
1 1 0 1 1 1
0 0 0 3 0 1 1 0 0 0 0 0 0 1 0
0 1 0 -1 0 1
-1 -1 0 0 3 1 1 0 -1 0 0 0 1 -1 -1
1 0 0 0 -1 1
-1 -1 0 1 1 3 1 0 0 0 0 0 1 0 -1
0 1 0 0 -1 1
-1 -1 0 1 1 1 3 0 1 -1 -1 1 1 -1 -1
0 1 -1 1 0 1
-1 0 -1 0 0 0 0 3 0 0 1 0 -1 1 -1
0 0 -1 0 0 0
0 0 -1 0 -1 0 1 0 3 -1 0 0 0 -1 -1
-1 0 -1 1 0 -1
0 0 0 0 0 0 -1 0 -1 3 1 0 1 1 1
1 -1 1 -1 0 1
0 1 -1 0 0 0 -1 1 0 1 3 -1 0 0 0
1 -1 -1 -1 -1 -1
-1 -1 0 0 0 0 1 0 0 0 -1 3 1 0 0
-1 1 0 1 1 1
0 -1 1 0 1 1 1 -1 0 1 0 1 3 -1 0
1 0 0 1 0 1
0 0 0 1 -1 0 -1 1 -1 1 0 0 -1 3 1
-1 0 1 -1 1 1
1 1 1 0 -1 -1 -1 -1 -1 1 0 0 0 1 3
0 0 1 -1 1 1
0 0 1 0 1 0 0 0 -1 1 1 -1 1 -1 0
3 0 -1 0 -1 0
-1 0 1 1 0 1 1 0 0 -1 -1 1 0 0 0
0 3 -1 1 0 1
1 0 0 0 0 0 -1 -1 -1 1 -1 0 0 1 1
-1 -1 3 -1 1 1
-1 -1 1 -1 0 0 1 0 1 -1 -1 1 1 -1 -1
0 1 -1 3 1 0
0 0 1 0 -1 -1 0 0 0 0 -1 1 0 1 1
-1 0 1 1 3 1
-1 -1 1 1 1 1 1 0 -1 1 -1 1 1 1 1
0 1 1 0 1 3
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3
-
MINIMAL_NORM
3
-
KISSING_NUMBER
1680
-
GROUP_ORDER
52254720
-
GROUP_NAME
(C2 x PSU(43)).D8
-
GROUP_GENERATORS
3
21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1
1 1 1 0 1 1 0 0 1 0 0 2 -2 1 0
1 -2 0 1 -1 1
1 1 0 0 0 1 0 -1 0 0 0 1 -2 0 0
0 -2 -1 2 -1 2
0 1 -1 -1 -1 0 -1 -1 0 -1 -1 0 1 1 -2
1 0 -1 -1 0 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -1 0 0 0
-1 0 0 -1 0 0 0 0 1 -1 0 0 1 1 0
1 1 1 -1 0 -1
-1 0 0 0 -1 -1 0 0 -1 0 0 -1 1 -1 -1
-1 1 0 -1 0 0
0 0 0 1 0 0 0 1 0 0 0 0 0 0 1
0 0 1 1 -1 -1
-1 0 0 0 0 -1 0 0 0 0 0 0 1 0 0
0 1 1 -1 0 -1
1 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0
0 -1 -1 1 0 1
0 0 0 0 0 0 -1 0 1 -1 0 1 0 1 0
1 -1 0 0 -1 1
0 -1 0 0 0 -1 0 1 -1 1 0 -2 1 -2 0
-2 2 0 -1 1 -1
0 0 0 0 0 0 -1 0 0 0 0 0 0 -1 0
-1 0 -1 0 0 1
1 0 0 0 0 1 0 0 0 1 0 0 -1 0 0
0 0 0 1 0 0
1 0 0 0 0 1 0 0 -1 1 0 0 -1 -1 0
-1 -1 -1 1 0 1
0 1 -1 0 -1 0 -1 -1 0 -2 0 1 0 1 -1
1 -2 -1 1 -1 3
0 1 -1 -1 0 0 0 -1 0 -1 0 0 0 1 -1
1 0 0 0 0 1
1 -1 1 0 1 1 1 1 0 2 0 0 -1 -1 1
-1 1 0 0 1 -2
0 0 0 1 1 0 0 0 0 1 0 0 -1 -1 1
-1 0 0 1 0 -1
1 -1 1 1 1 0 1 1 -1 3 0 -1 -1 -2 1
-3 1 0 1 0 -2
1 0 0 0 0 1 0 0 -1 1 0 0 -1 -1 0
-1 0 -1 1 0 0
21
-1 -1 -1 -1 -1 -2 0 0 -1 -1 0 -2 3 0 -1
-1 2 0 -2 1 0
-1 -3 1 0 0 -2 2 2 -1 2 1 -3 2 -2 1
-3 4 2 -2 1 -4
0 0 0 0 0 0 0 -1 1 -1 1 1 -1 1 0
1 -1 1 1 -1 1
0 0 0 0 0 0 1 0 0 0 0 0 0 0 1
0 0 0 0 0 -1
1 1 1 1 1 2 -1 0 1 0 -1 2 -3 0 1
1 -3 -1 2 -1 1
1 1 0 0 1 1 0 -1 1 0 0 1 -2 1 0
1 -1 -1 1 0 1
1 1 0 1 1 2 -1 0 1 0 -1 2 -2 0 1
1 -2 -1 1 0 0
0 0 0 1 1 1 0 1 0 1 -1 0 0 0 2
0 0 0 1 0 -2
1 0 0 0 1 1 0 0 0 1 0 1 -1 0 0
0 0 -1 0 1 -1
0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
0 0 0 0 -1 1
-1 -1 1 0 1 -1 1 1 0 1 0 -1 1 0 1
-1 2 1 -1 0 -3
1 1 0 0 0 1 0 0 0 0 0 1 -1 0 0
0 -1 0 1 -1 1
1 1 0 0 1 1 -1 -1 1 -1 0 2 -2 1 0
1 -2 -1 1 -1 2
-1 0 -1 -1 -1 -1 1 0 0 -1 0 -1 2 1 0
1 1 1 -1 0 0
-1 -1 0 -1 -1 -2 1 0 0 -1 1 -1 2 0 -1
0 2 2 -2 0 0
0 0 1 1 1 0 -1 0 1 0 0 1 -1 0 1
0 -1 0 1 -1 0
1 0 1 0 1 1 1 0 1 1 1 1 -2 0 1
0 0 1 1 0 -1
0 0 -1 -1 -2 -1 0 -1 -1 -1 0 -1 1 0 -2
0 0 -1 -1 0 3
1 1 0 0 1 2 -1 -1 1 0 0 2 -2 1 0
1 -2 -1 1 0 1
0 0 -1 -1 -1 0 0 -1 0 -1 0 0 1 1 -1
1 0 0 -1 0 1
1 1 0 0 0 1 0 -1 1 -1 0 2 -2 1 0
2 -2 0 1 -1 2
21
1 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 0 0 0 0
0 0 0 0 0 0
0 0 -1 0 0 0 0 0 0 0 0 0 0 0 1
0 0 0 1 0 0
1 0 1 1 1 1 0 1 1 1 0 1 -2 -1 1
0 -1 0 1 0 0
-1 -1 0 1 0 -1 1 1 -1 1 0 -1 1 -1 1
-1 1 1 0 0 -2
0 0 0 1 1 1 -1 0 1 0 0 1 -1 0 1
1 -1 0 1 0 0
0 -1 1 1 0 0 1 1 0 1 1 0 -1 -1 1
-1 0 1 1 -1 -1
-1 0 0 -1 0 -1 0 0 1 -1 0 0 1 1 -1
1 1 1 -2 0 0
1 0 1 0 0 1 0 0 0 0 1 1 -2 0 0
0 -1 0 1 -1 1
-1 0 -1 -1 -1 -1 0 -1 0 -2 0 -1 2 1 -1
1 1 0 -2 1 1
0 1 0 -1 0 0 0 -1 1 -1 0 1 0 2 -1
2 0 0 -1 0 1
0 -1 1 0 0 0 1 0 0 1 1 0 -1 -1 0
-1 1 1 0 0 -1
0 -1 0 0 0 0 1 0 0 0 1 0 0 0 1
0 1 1 0 0 -1
0 0 0 0 1 0 -1 0 1 0 -1 0 0 0 0
0 0 -1 -1 1 0
0 0 0 0 0 -1 0 0 0 0 0 -1 1 0 0
-1 1 0 0 0 0
-1 0 -1 -1 -1 -1 1 0 0 -1 0 -1 2 1 0
1 1 1 -1 0 0
0 0 1 1 1 1 0 1 1 1 0 1 -2 -1 2
0 -1 1 2 -1 -1
0 0 -1 1 0 0 -1 0 -1 0 -1 -1 1 -1 0
-1 0 -1 0 1 0
0 0 0 0 0 1 0 0 0 0 0 1 -1 0 1
0 -1 0 1 -1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 0 0 0 0 0
-1 -1 0 1 0 -1 0 1 0 0 0 -1 1 -1 1
-1 1 1 0 0 -1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe