The Lattice A2 x A6^(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 13:21:26 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
A2 x A6^(2)
-
DIMENSION
12
-
GRAM
12
8 4 4 2 -2 -1 0 0 4 2 4 2
4 8 2 4 -1 -2 0 0 2 4 2 4
4 2 8 4 2 1 -2 -1 0 0 4 2
2 4 4 8 1 2 -1 -2 0 0 2 4
-2 -1 2 1 8 4 2 1 -4 -2 -2 -1
-1 -2 1 2 4 8 1 2 -2 -4 -1 -2
0 0 -2 -1 2 1 8 4 2 1 -4 -2
0 0 -1 -2 1 2 4 8 1 2 -2 -4
4 2 0 0 -4 -2 2 1 8 4 2 1
2 4 0 0 -2 -4 1 2 4 8 1 2
4 2 4 2 -2 -1 -4 -2 2 1 8 4
2 4 2 4 -1 -2 -2 -4 1 2 4 8
-
DIVISORS
1 1 1 1 1 1 21 21 21 21 21 21
-
MINIMAL_NORM
8
-
KISSING_NUMBER
126
-
GROUP_ORDER
4032
-
GROUP_NAME
C2 x S3 x PGL(27)
-
GROUP_GENERATORS
3
12
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 -1 0 1 0 0 0 0 0 1 0 0
1 -1 -1 1 0 0 0 0 -1 1 0 0
0 -1 0 0 0 0 0 1 0 0 0 1
1 -1 0 0 0 0 -1 1 0 0 -1 1
0 0 0 0 0 -1 0 1 0 -1 0 1
0 0 0 0 1 -1 -1 1 1 -1 -1 1
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 0 0 0 0 1 0 -1 0 1 0 0
0 0 0 0 -1 1 1 -1 -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 0 0
0 0 0 0 0 0 0 0 1 -1 0 0
-1 0 1 0 -1 0 1 0 0 0 0 0
-1 1 1 -1 -1 1 1 -1 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 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
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
0 0 0 1 0 0 0 0 0 0 0 0
-1 0 1 0 -1 0 0 0 0 0 0 0
0 -1 0 1 0 -1 0 0 0 0 0 0
0 0 0 0 0 0 -1 0 1 0 -1 0
0 0 0 0 0 0 0 -1 0 1 0 -1
1 0 0 0 0 0 0 0 0 0 -1 0
0 1 0 0 0 0 0 0 0 0 0 -1
1 0 0 0 0 0 0 0 -1 0 0 0
0 1 0 0 0 0 0 0 0 -1 0 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe