The Lattice (C3.S6 x D8).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 13:24:35 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
(C3.S6 x D8).C2
-
DIMENSION
24
-
GRAM
24
4 0 0 0 0 -2 0 0 0 -2 -2 0 -2 -2 0
0 1 -1 -2 0 1 0 0 1
0 4 0 0 1 -1 -1 -1 0 -2 0 1 -2 -2 0
0 -2 2 1 2 0 -1 1 0
0 0 4 0 0 0 0 0 1 -2 -2 2 -2 -2 0
1 -1 1 -2 2 1 0 0 0
0 0 0 4 2 0 0 0 0 -2 -2 0 -2 -2 -1
-1 -1 1 1 2 -1 -2 0 1
0 1 0 2 4 0 0 0 1 -1 0 0 -1 -2 0
-1 -1 1 1 1 0 0 0 0
-2 -1 0 0 0 4 0 0 -1 1 0 0 1 2 1
-1 0 0 2 0 -1 -1 0 0
0 -1 0 0 0 0 4 2 1 -1 2 0 -1 2 0
-1 1 -1 -1 -2 1 2 0 1
0 -1 0 0 0 0 2 4 0 1 2 0 1 0 -1
-1 0 0 0 -1 1 2 0 0
0 0 1 0 1 -1 1 0 4 -2 0 0 -1 -1 0
0 0 -1 0 -1 2 2 -1 0
-2 -2 -2 -2 -1 1 -1 1 -2 8 4 -1 6 4 0
1 1 -1 1 -3 -1 2 -1 -2
-2 0 -2 -2 0 0 2 2 0 4 8 0 2 4 0
0 0 0 0 -4 0 4 0 0
0 1 2 0 0 0 0 0 0 -1 0 4 -1 -2 -1
0 -1 1 -2 1 1 1 0 1
-2 -2 -2 -2 -1 1 -1 1 -1 6 2 -1 8 2 -1
0 2 -2 2 -3 -1 1 -1 -2
-2 -2 -2 -2 -2 2 2 0 -1 4 4 -2 2 8 1
1 2 -2 1 -4 -1 1 0 -1
0 0 0 -1 0 1 0 -1 0 0 0 -1 -1 1 4
0 0 -1 -1 -1 0 -1 0 0
0 0 1 -1 -1 -1 -1 -1 0 1 0 0 0 1 0
4 0 1 0 1 0 1 1 -2
1 -2 -1 -1 -1 0 1 0 0 1 0 -1 2 2 0
0 4 -3 -1 -3 0 0 -1 0
-1 2 1 1 1 0 -1 0 -1 -1 0 1 -2 -2 -1
1 -3 6 2 5 0 1 1 0
-2 1 -2 1 1 2 -1 0 0 1 0 -2 2 1 -1
0 -1 2 8 2 -1 -1 1 -1
0 2 2 2 1 0 -2 -1 -1 -3 -4 1 -3 -4 -1
1 -3 5 2 8 0 -2 1 0
1 0 1 -1 0 -1 1 1 2 -1 0 1 -1 -1 0
0 0 0 -1 0 4 3 0 0
0 -1 0 -2 0 -1 2 2 2 2 4 1 1 1 -1
1 0 1 -1 -2 3 8 0 0
0 1 0 0 0 0 0 0 -1 -1 0 0 -1 0 0
1 -1 1 1 1 0 0 4 0
1 0 0 1 0 0 1 0 0 -2 0 1 -2 -1 0
-2 0 0 -1 0 0 0 0 4
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 6 6 6 6 6 6 6 6
-
MINIMAL_NORM
4
-
KISSING_NUMBER
144
-
GROUP_ORDER
34560
-
GROUP_NAME
(C3.S6 x D8).C2
-
GROUP_GENERATORS
3
24
-1 0 0 0 0 0 -1 1 0 0 0 0 -1 0 0
0 1 0 0 0 0 0 0 0
1 0 1 1 0 0 -1 0 0 -1 1 0 1 1 0
0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 1 0 1 1 0 0 0 0 0
0 0 1 0 0 0 -1 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 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 1 -1 0 1 0 0 0 -1 0
0 0 0 0 0 0 0 0 0
-1 -1 0 -1 0 -1 0 0 -1 0 0 0 -1 -1 0
0 0 -1 1 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -1 0 1 0 0 0 0
0 -1 0 -1 0 -1 0 0 0 0 0 1 -1 0 0
-1 0 0 1 0 -1 0 0 -1
0 1 -1 0 0 1 1 0 1 0 -1 0 1 0 0
1 -1 0 -1 0 0 0 0 1
0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0
0 -1 -1 0 0 0 0 0 0
0 0 0 -1 1 1 1 0 -1 0 0 -1 0 -1 -1
2 -1 0 0 -1 1 -1 -1 1
-1 0 -1 -1 1 0 0 0 -1 -1 -1 0 0 0 0
1 -1 -1 0 0 0 1 -1 1
0 0 0 0 -1 0 1 -1 1 1 0 0 0 -1 0
-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 0 0 0 0 0 0 0 0
2 1 0 1 -1 1 0 0 3 1 0 0 1 1 0
-1 0 2 -1 0 0 -1 1 0
-1 -1 -1 -1 0 0 0 0 0 0 0 0 -1 -1 0
0 0 0 0 0 0 0 0 0
2 1 0 1 0 1 0 0 2 1 0 0 1 1 0
0 0 1 -1 0 0 -1 1 0
2 1 1 2 -1 0 -1 -1 1 0 1 1 1 1 1
-2 1 0 0 1 -1 1 1 -1
2 1 0 1 0 1 0 0 2 1 0 0 1 1 0
0 1 2 -1 0 0 -1 1 0
0 0 -1 -1 0 1 1 0 1 1 0 0 -1 -1 -1
1 0 0 0 0 0 -1 0 0
0 0 -1 -1 0 1 1 0 1 1 -1 0 -1 -1 -1
1 -1 0 0 -1 0 -1 0 0
1 1 1 2 -1 1 0 -1 0 0 1 -1 1 0 0
0 0 0 0 0 1 0 0 0
-2 -1 0 -1 1 -1 0 0 -3 -1 0 0 -1 -1 0
1 0 -1 1 -1 1 0 -1 0
24
1 1 1 1 -1 1 1 -1 0 1 1 -1 0 -1 0
0 0 0 0 0 0 0 0 0
1 1 0 1 0 1 0 0 1 0 0 0 1 1 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
0 0 0 0 0 0 0 0 0
1 0 0 0 0 1 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0
0 0 0 0 0 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 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 -1 0 0 0 0 0 0 0
-2 -1 -1 -2 1 -2 0 0 -1 0 -1 1 -1 0 0
0 0 -1 1 0 0 0 0 0
-1 0 0 -1 1 -1 -1 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 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
-2 -2 -1 -2 1 -2 -1 0 -1 -1 0 1 -1 0 0
0 0 -1 1 0 0 0 0 0
-1 0 -1 -1 0 -1 0 1 0 0 -1 0 0 0 0
0 0 0 0 0 0 0 0 0
1 1 0 1 -1 1 1 0 2 1 0 0 1 0 0
0 0 1 -1 0 0 -1 1 0
-2 0 -1 -1 1 0 1 0 -2 0 -1 -1 -1 -1 -1
2 -1 -1 0 -1 1 0 -1 1
-1 -1 0 -1 0 -1 0 0 -1 0 0 0 -1 -1 0
0 0 0 1 -1 0 0 0 0
-1 1 0 0 1 0 -1 1 -1 -1 -1 0 0 1 0
1 0 -1 0 0 0 1 -1 1
0 0 0 0 0 0 -1 0 -1 -2 0 0 1 1 0
0 -1 -1 0 0 0 1 -1 0
0 1 0 1 0 1 0 0 -1 -1 0 0 0 0 0
1 0 -1 0 0 0 1 -1 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
-3 -1 0 -2 2 -2 -1 1 -3 -1 -1 0 -1 0 0
1 -1 -2 1 0 0 1 -1 1
0 1 0 0 0 1 0 0 0 0 0 -1 0 0 -1
0 0 0 -1 0 0 0 0 0
2 1 2 2 -1 0 -1 0 1 0 1 0 1 1 1
-2 1 0 0 1 -1 1 1 -1
24
0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 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 -1 -1 -1 1 -1 -1 1 0 0 -1 1 -1 1 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 1 0 0 0 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 0 0
-1 0 -1 -1 0 0 1 0 0 1 -1 0 -1 -1 0
0 0 0 0 0 0 0 0 0
-1 -1 -1 -1 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 0 0 0 -1 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
1 0 1 1 -1 0 0 -1 0 -1 1 -1 1 0 0
0 -1 0 0 0 0 0 0 0
0 0 0 0 -1 0 0 0 0 0 0 -1 0 -1 0
0 0 0 0 0 0 0 0 0
-1 -1 -1 -1 1 -1 -1 1 0 -1 -1 1 0 1 0
0 0 0 0 0 0 0 0 0
1 0 0 1 -1 0 0 -1 0 -1 1 0 1 0 0
0 -1 0 0 0 0 0 0 0
0 1 1 1 -1 0 1 -1 0 1 0 -1 0 -1 0
0 0 0 0 0 0 0 0 0
0 1 1 1 0 0 0 0 -1 0 0 -1 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
1 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 0 0 0 0
0 -1 -1 -1 0 1 1 0 1 1 0 0 -1 -1 -1
1 0 0 0 0 0 -1 0 0
1 0 0 1 -1 2 2 -2 0 1 1 -1 0 -2 -1
1 0 1 0 -1 1 -1 0 0
1 0 -1 0 0 2 1 0 2 1 0 0 0 0 -1
1 0 1 -1 0 0 -1 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
0 -1 -1 -1 0 0 1 0 0 0 0 0 0 -1 0
1 -1 0 0 0 1 -1 0 0
1 0 0 1 -1 0 0 0 2 1 0 1 0 0 1
-1 1 1 0 0 -1 0 1 -1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 0 0 0 0 0 0 0 -1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe