The Lattice C2 x S3 x PGL(2,7)
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 13:22:11 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 S3 x PGL(2,7)
-
DIMENSION
16
-
GRAM
16
8 -4 4 2 4 0 4 -2 -3 2 2 1 -3 -1 -4
3
-4 8 -2 -4 0 -1 -2 4 1 1 -1 -2 1 -2 4
-1
4 -2 8 0 0 1 2 -1 1 -1 4 0 -2 -3 0
2
2 -4 0 8 2 2 1 -2 -3 2 0 4 -3 1 0
-1
4 0 0 2 8 -1 2 0 -1 2 0 1 -4 0 -2
-1
0 -1 1 2 -1 8 0 -2 -2 -2 2 4 3 -3 0
-3
4 -2 2 1 2 0 8 -4 0 -2 4 2 -3 1 -2
0
-2 4 -1 -2 0 -2 -4 8 2 2 -2 -4 2 -1 2
1
-3 1 1 -3 -1 -2 0 2 8 -4 2 -3 0 2 1
-2
2 1 -1 2 2 -2 -2 2 -4 8 -2 1 -2 -2 -1
2
2 -1 4 0 0 2 4 -2 2 -2 8 0 -1 -3 0
1
1 -2 0 4 1 4 2 -4 -3 1 0 8 0 -1 0
-2
-3 1 -2 -3 -4 3 -3 2 0 -2 -1 0 8 -2 0
0
-1 -2 -3 1 0 -3 1 -1 2 -2 -3 -1 -2 8 0
-2
-4 4 0 0 -2 0 -2 2 1 -1 0 0 0 0 8
0
3 -1 2 -1 -1 -3 0 1 -2 2 1 -2 0 -2 0
8
-
DIVISORS
1 1 1 1 1 1 1 1 3 3 21 21 21 21 21 21
-
MINIMAL_NORM
8
-
KISSING_NUMBER
420
-
GROUP_ORDER
4032
-
GROUP_NAME
C2 x S3 x PGL(2,7)
-
GROUP_GENERATORS
3
16
-2 -2 0 -1 1 1 2 0 0 1 -1 -1 0 -1 1
0
2 1 -1 0 -1 -1 -2 1 0 -2 1 2 -1 0 -1
0
-2 -2 0 -1 1 2 2 0 1 2 -1 -1 0 0 1
1
-2 0 1 0 1 1 1 -1 0 1 -1 -1 0 0 0
1
0 0 -1 0 0 0 0 0 0 -1 0 0 -1 -1 0
0
-1 0 1 1 1 1 1 -1 1 1 -1 -1 1 0 0
1
-1 -1 0 0 1 0 1 -1 1 1 -1 -1 1 -1 1
0
0 0 0 -1 0 0 -1 1 -1 -1 1 1 -1 1 -1
0
0 0 0 0 0 0 -1 0 0 0 1 0 0 1 0
0
0 0 0 -1 0 0 0 1 -1 -1 0 1 -1 0 0
0
-1 -1 0 0 1 1 1 -1 1 1 -1 -1 1 0 1
1
-1 1 1 1 1 1 1 -1 1 1 -1 -1 1 0 0
1
0 1 1 1 0 0 0 0 0 0 0 0 1 1 -1
0
0 0 0 0 0 -1 -1 0 -1 0 1 0 0 0 0
-1
0 1 0 0 0 0 -1 0 0 0 1 1 0 1 -1
1
-1 -1 0 -1 0 0 1 1 -1 0 0 0 0 0 0
0
16
-2 -2 0 -1 1 2 2 0 1 2 -1 -1 0 0 1
1
2 2 0 1 -1 -1 -2 0 0 -1 1 1 0 1 -1
0
-2 -1 0 0 1 1 1 0 0 1 0 -1 0 0 0
1
0 -1 -1 -1 0 0 0 1 0 -1 0 1 -1 -1 0
0
1 -1 -1 -1 0 1 0 0 1 1 0 0 0 0 1
0
0 0 0 0 0 -1 0 1 -1 -1 1 1 0 0 0
0
-1 -1 0 -1 0 1 1 1 0 1 0 0 -1 0 0
0
1 1 0 1 0 -1 -1 -1 1 0 0 0 1 0 0
0
0 0 0 0 0 -1 -1 0 -1 0 1 0 0 0 0
-1
0 0 0 0 0 1 0 0 1 0 -1 0 0 0 0
1
-1 -1 0 -1 0 0 0 1 -1 0 1 0 -1 0 0
0
1 0 -1 0 -1 0 0 1 0 -1 0 1 -1 -1 0
0
0 1 1 1 0 -1 0 -1 0 0 0 0 1 0 0
0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1
2 2 -1 1 -1 -1 -2 0 0 -2 1 1 -1 0 -1
0
-1 0 0 0 0 1 1 -1 1 1 -1 -1 0 0 0
1
16
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0
-1 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0
-1 0 1 1 1 1 1 -1 1 1 -1 -1 1 0 0
1
1 0 0 0 -1 -1 0 0 0 0 0 0 0 -1 0
-1
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0
0 0 0 0 0 1 0 -1 1 1 0 -1 0 0 0
0
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0
0
-1 0 1 0 1 0 0 0 0 1 0 0 1 1 0
0
-2 0 1 0 1 1 1 0 0 1 0 0 1 1 0
1
2 0 -1 0 -1 -1 -1 1 0 -1 0 1 -1 -1 0
-1
1 1 0 1 0 0 0 -1 1 0 0 0 1 0 0
0
1 0 -1 0 -1 0 0 0 1 0 0 0 -1 -1 0
0
0 0 0 0 0 0 -1 0 0 0 1 0 0 1 0
0
-1 -1 0 -1 0 0 1 1 -1 0 0 0 0 0 0
0
-1 -1 0 0 1 0 1 -1 1 1 -1 -1 1 -1 1
0
1 0 0 0 0 -1 -1 0 0 -1 0 1 0 0 0
0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe