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 13:22:42 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
(C2 x C3.Alt6).(C2 x C2)
-
DIMENSION
18
-
GRAM
18
6 0 0 0 -2 0 -2 0 -2 0 1 0 1 0 -2
-2 0 0
0 6 0 0 0 0 0 -2 0 -2 -2 -2 0 0 1
-2 1 0
0 0 6 -2 -2 0 0 -2 1 1 0 0 -2 0 0
1 0 0
0 0 -2 6 0 -2 0 0 0 0 -2 0 0 -2 -2
1 0 1
-2 0 -2 0 6 0 0 -2 0 0 1 1 0 1 0
0 -2 0
0 0 0 -2 0 6 -2 1 1 0 -2 1 1 0 0
0 -2 -3
-2 0 0 0 0 -2 6 1 0 1 0 0 0 1 0
-2 0 1
0 -2 -2 0 -2 1 1 6 0 0 0 0 0 0 1
0 0 -2
-2 0 1 0 0 1 0 0 6 -2 0 1 -3 0 -2
0 1 -2
0 -2 1 0 0 0 1 0 -2 6 -2 0 1 1 0
0 0 0
1 -2 0 -2 1 -2 0 0 0 -2 6 0 0 0 0
0 0 1
0 -2 0 0 1 1 0 0 1 0 0 6 -2 -2 0
-2 -3 1
1 0 -2 0 0 1 0 0 -3 1 0 -2 6 0 1
0 1 1
0 0 0 -2 1 0 1 0 0 1 0 -2 0 6 -2
0 1 0
-2 1 0 -2 0 0 0 1 -2 0 0 0 1 -2 6
0 0 0
-2 -2 1 1 0 0 -2 0 0 0 0 -2 0 0 0
6 1 0
0 1 0 0 -2 -2 0 0 1 0 0 -3 1 1 0
1 6 1
0 0 0 1 0 -3 1 -2 -2 0 1 1 1 0 0
0 1 6
-
DIVISORS
1 1 1 1 1 1 1 1 1 3 3 3 15 15 15 15 15 15
-
MINIMAL_NORM
6
-
KISSING_NUMBER
180
-
GROUP_ORDER
8640
-
GROUP_NAME
(C2 x C3.A6).(C2 x C2)
-
GROUP_GENERATORS
3
18
-1 0 0 0 0 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 0 0
0 0 0
0 0 -1 0 0 0 0 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
0 0 0
0 0 0 0 -1 0 0 0 0 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 0
0 0 0 0 0 0 -1 0 0 0 0 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 0 0 0 0 0 0 0 -1 0 0 0 0 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 0 0 0 0 0 0 0 -1 0 0 0 0
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 0 0 0 0 0 0 0 -1 0 0
0 0 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 0 0 0 0 0 0 0 -1
0 0 0
0 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 0 0 0 0 0 0
0 -1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -1
18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1
0 0 1 -1 1 -1 0 1 0 -1 -1 0 1 -1 -1
0 0 0
0 0 -1 -2 0 -1 0 0 0 0 -1 0 0 -1 -1
0 0 0
-1 2 0 1 -1 0 0 0 0 1 2 2 1 1 0
1 0 -1
0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
0 -1 0
0 -2 0 0 0 0 0 -1 0 -1 -1 -1 0 0 0
-1 0 0
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
0 0 0
1 -1 0 2 0 2 1 -1 0 0 1 0 -1 1 2
0 1 0
-2 -1 1 0 0 0 -1 0 -2 -1 0 0 0 0 -1
-2 1 -1
1 0 -1 0 0 0 0 0 2 1 0 -1 0 0 1
0 -1 1
0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0
0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
0 0 0
0 0 0 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 -2 -1 -1 0
-1 0 1
2 0 0 0 1 0 1 0 1 0 -1 0 0 0 1
1 0 0
0 1 -1 0 -1 0 0 -1 0 1 1 1 0 0 0
1 0 -1
-1 0 1 0 1 0 -1 1 -1 0 0 0 0 -1 -1
-1 1 0
0 2 0 0 0 0 0 1 0 1 1 1 0 0 -1
1 0 0
18
1 1 0 1 0 1 1 0 1 1 1 0 0 0 1
1 0 0
1 -1 -1 0 0 1 1 -1 0 0 0 -1 -1 0 1
0 0 0
0 0 0 -1 0 -1 0 0 1 0 -1 0 1 0 0
0 -1 0
-1 0 0 1 0 1 0 0 -1 0 1 0 -1 0 0
-1 1 0
-1 -1 0 -1 0 -1 -1 0 -1 -1 -1 -1 0 -1 -1
-1 0 0
1 -1 0 -1 1 0 0 0 1 0 -1 -1 0 -1 0
0 0 1
-1 0 0 1 -1 0 0 -1 -1 0 1 1 0 1 0
0 0 -1
1 1 0 1 0 0 0 0 1 1 1 1 0 1 1
1 0 0
0 -1 1 0 1 0 0 0 -1 -1 -1 0 0 0 0
-1 1 0
0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0
0 -1 1
-1 1 1 0 0 -1 -1 1 -1 0 0 1 1 0 -1
0 0 -1
0 0 0 -1 0 -1 0 0 0 0 -1 0 0 -1 -1
0 0 0
0 0 0 1 0 1 0 0 0 0 1 0 0 0 0
0 0 0
0 0 0 1 -1 1 0 -1 0 0 1 0 0 1 1
0 0 0
1 0 -1 -1 0 -1 0 0 1 0 -1 0 0 0 0
1 -1 0
-1 1 0 -1 0 -1 -1 1 0 0 0 1 1 0 -1
0 0 0
1 1 0 1 0 1 1 0 0 0 1 1 0 1 1
1 0 0
-1 1 0 0 -1 0 0 0 -1 0 1 1 0 0 -1
0 0 -1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe