The Lattice (C2 x C3.Alt6).(C2 x C2)
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 13:21:39 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
PROPERTIES
GROUP_ORDER
NOTES
GROUP_NAME
GROUP_GENERATORS
LAST_LINE
-
NAME
(C2 x C3.Alt6).(C2 x C2)
-
DIMENSION
12
-
GRAM
12
8 1 2 4 0 3 -4 -3 -2 -2 -3 2
1 8 0 -1 2 -1 -3 3 -2 1 -4 4
2 0 8 -1 2 4 -3 2 3 -4 -4 0
4 -1 -1 8 -2 0 -3 -1 -4 -2 1 -2
0 2 2 -2 8 4 -3 2 4 -2 0 4
3 -1 4 0 4 8 -4 -2 2 -4 -1 1
-4 -3 -3 -3 -3 -4 8 -1 1 2 3 -3
-3 3 2 -1 2 -2 -1 8 1 1 -1 0
-2 -2 3 -4 4 2 1 1 8 -2 1 2
-2 1 -4 -2 -2 -4 2 1 -2 8 2 2
-3 -4 -4 1 0 -1 3 -1 1 2 8 -2
2 4 0 -2 4 1 -3 0 2 2 -2 8
-
DIVISORS
1 1 1 1 1 1 15 15 15 15 15 15
-
MINIMAL_NORM
8
-
KISSING_NUMBER
270
-
PROPERTIES
MODULAR=15
-
GROUP_ORDER
8640
-
NOTES
Strongly 15-modular of type +, extremal
-
GROUP_NAME
(C2 x C3.A6).(C2 x C2)
-
GROUP_GENERATORS
3
12
0 0 0 0 0 0 0 0 0 0 0 1
0 0 1 1 1 0 1 0 0 1 0 0
1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 -1 0 0 0 0 -1 -1 1 1
0 0 1 0 1 -1 -1 -1 0 1 0 -1
0 0 0 0 0 0 -1 0 0 0 0 0
0 0 -1 0 0 0 0 0 1 0 -1 -1
0 1 1 1 1 0 1 -1 0 1 0 -1
1 0 0 -1 0 -1 -1 0 0 0 0 -1
-1 0 0 1 0 1 1 0 0 1 -1 0
0 0 -1 -1 0 0 -1 0 0 0 0 -1
0 0 1 0 0 0 0 0 0 1 0 0
12
-1 -1 0 1 0 0 0 0 0 0 -1 1
0 0 -1 1 0 1 0 0 1 1 -1 -1
1 -1 -1 -1 -1 0 0 1 0 -1 0 1
-1 0 0 1 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 0 0 0 -1 0 1
0 0 1 -1 0 0 0 0 -1 0 1 0
1 0 -1 0 0 1 1 1 0 0 0 0
1 0 0 -1 0 0 0 0 0 0 0 0
0 0 0 0 1 0 0 0 0 0 0 -1
0 1 1 0 0 0 0 0 0 0 1 0
0 0 0 1 1 0 0 -1 1 1 -1 -1
12
1 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 1 0 1 -1 1 1 -1 -1
0 0 0 0 0 0 0 0 0 -1 0 0
1 -1 0 -1 0 -1 -1 0 0 0 0 0
-1 1 0 1 0 1 0 -1 1 1 -1 -1
0 0 0 0 0 1 0 0 0 0 0 0
0 0 0 -1 -1 0 0 1 -1 -1 1 1
0 0 -1 0 0 0 0 0 1 0 -1 -1
-1 1 0 1 -1 1 0 0 1 0 0 0
0 0 -1 0 0 0 0 0 0 0 0 0
0 0 0 -1 -1 0 -1 0 0 0 1 0
-1 1 0 2 0 1 1 -1 1 1 -1 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe