The Lattice A2xA6
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 13:21:42 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
A2xA6
-
DIMENSION
12
-
GRAM
12
4 2 2 1 2 1 2 1 2 1 2 1
2 4 1 2 1 2 1 2 1 2 1 2
2 1 4 2 2 1 2 1 2 1 2 1
1 2 2 4 1 2 1 2 1 2 1 2
2 1 2 1 4 2 2 1 2 1 2 1
1 2 1 2 2 4 1 2 1 2 1 2
2 1 2 1 2 1 4 2 2 1 2 1
1 2 1 2 1 2 2 4 1 2 1 2
2 1 2 1 2 1 2 1 4 2 2 1
1 2 1 2 1 2 1 2 2 4 1 2
2 1 2 1 2 1 2 1 2 1 4 2
1 2 1 2 1 2 1 2 1 2 2 4
-
DIVISORS
1 1 1 1 1 1 3 3 3 3 21 21
-
MINIMAL_NORM
4
-
KISSING_NUMBER
126
-
GROUP_ORDER
60480
-
GROUP_NAME
C2 x S3 x S7 = C2 x W(A2) x W(A6)
-
GROUP_GENERATORS
3
12
0 0 0 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 0 0 0 0 0 1 0 -1
0 0 0 0 0 0 0 0 -1 1 1 -1
0 0 0 0 0 0 0 -1 0 1 0 0
0 0 0 0 0 0 1 -1 -1 1 0 0
0 0 0 0 0 -1 0 0 0 1 0 0
0 0 0 0 1 -1 0 0 -1 1 0 0
0 0 0 -1 0 0 0 0 0 1 0 0
0 0 1 -1 0 0 0 0 -1 1 0 0
0 -1 0 0 0 0 0 0 0 1 0 0
1 -1 0 0 0 0 0 0 -1 1 0 0
12
-1 0 0 0 0 0 0 0 0 0 1 0
-1 1 0 0 0 0 0 0 0 0 1 -1
0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 1 -1
0 0 0 0 0 0 0 0 -1 0 1 0
0 0 0 0 0 0 0 0 -1 1 1 -1
0 0 0 0 0 0 -1 0 0 0 1 0
0 0 0 0 0 0 -1 1 0 0 1 -1
0 0 0 0 -1 0 0 0 0 0 1 0
0 0 0 0 -1 1 0 0 0 0 1 -1
0 0 -1 0 0 0 0 0 0 0 1 0
0 0 -1 1 0 0 0 0 0 0 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
1 0 -1 0 0 0 0 0 0 0 0 0
0 1 0 -1 0 0 0 0 0 0 0 0
1 0 0 0 -1 0 0 0 0 0 0 0
0 1 0 0 0 -1 0 0 0 0 0 0
1 0 0 0 0 0 -1 0 0 0 0 0
0 1 0 0 0 0 0 -1 0 0 0 0
1 0 0 0 0 0 0 0 -1 0 0 0
0 1 0 0 0 0 0 0 0 -1 0 0
1 0 0 0 0 0 0 0 0 0 -1 0
0 1 0 0 0 0 0 0 0 0 0 -1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe