The Lattice A2xM6,2
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 13:21:37 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
A2xM6,2
-
DIMENSION
12
-
GRAM
12
6 2 2 -2 -2 0 3 1 1 -1 -1 0
2 6 2 2 0 -2 1 3 1 1 0 -1
2 2 6 0 2 2 1 1 3 0 1 1
-2 2 0 6 2 -2 -1 1 0 3 1 -1
-2 0 2 2 6 2 -1 0 1 1 3 1
0 -2 2 -2 2 6 0 -1 1 -1 1 3
3 1 1 -1 -1 0 6 2 2 -2 -2 0
1 3 1 1 0 -1 2 6 2 2 0 -2
1 1 3 0 1 1 2 2 6 0 2 2
-1 1 0 3 1 -1 -2 2 0 6 2 -2
-1 0 1 1 3 1 -2 0 2 2 6 2
0 -1 1 -1 1 3 0 -2 2 -2 2 6
-
DIVISORS
1 1 1 1 1 1 15 15 15 15 15 15
-
MINIMAL_NORM
6
-
KISSING_NUMBER
60
-
GROUP_ORDER
1440
-
GROUP_NAME
C2 x S3 x S5
-
GROUP_GENERATORS
3
12
0 0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 -1 1 0 0 -1
0 0 0 0 0 0 0 0 0 -1 1 -1
0 0 0 0 0 0 1 0 -1 0 1 0
0 0 0 0 0 -1 0 0 0 0 0 1
0 0 -1 0 0 0 0 0 1 0 0 0
0 0 0 0 -1 0 0 0 0 0 1 0
0 1 -1 0 0 1 0 -1 1 0 0 -1
0 0 0 1 -1 1 0 0 0 -1 1 -1
-1 0 1 0 -1 0 1 0 -1 0 1 0
12
1 -1 0 1 0 0 -1 1 0 -1 0 0
0 0 0 1 0 0 0 0 0 -1 0 0
0 0 0 1 -1 1 0 0 0 -1 1 -1
0 1 0 0 0 0 0 -1 0 0 0 0
0 1 -1 0 0 1 0 -1 1 0 0 -1
0 0 0 0 0 1 0 0 0 0 0 -1
0 0 0 0 0 0 -1 1 0 -1 0 0
0 0 0 0 0 0 0 0 0 -1 0 0
0 0 0 0 0 0 0 0 0 -1 1 -1
0 0 0 0 0 0 0 -1 0 0 0 0
0 0 0 0 0 0 0 -1 1 0 0 -1
0 0 0 0 0 0 0 0 0 0 0 -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 1 0 0 0 0 0 0 0 0 0
-1 1 0 -1 0 0 0 0 0 0 0 0
-1 0 1 0 -1 0 0 0 0 0 0 0
0 -1 1 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 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 0
0 0 0 0 0 0 -1 0 1 0 -1 0
0 0 0 0 0 0 0 -1 1 0 0 -1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe