The Lattice (C3.M10 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 13:24:03 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.M10 x D8).C2
-
DIMENSION
24
-
GRAM
24
16 6 8 5 6 4 4 8 5 5 6 5 2 5 5
1 1 1 4 4 8 1 1 5
6 16 6 3 0 3 6 6 8 0 8 8 4 3 3
0 3 8 4 3 0 0 5 8
8 6 16 1 6 5 8 4 1 1 6 1 1 1 4
5 5 5 5 5 4 5 2 1
5 3 1 16 5 6 6 6 1 6 0 6 4 3 6
5 8 0 4 4 3 2 5 3
6 0 6 5 16 4 0 0 0 8 8 0 5 5 4
8 5 0 3 4 6 8 4 0
4 3 5 6 4 16 5 8 5 8 4 2 6 6 1
4 4 6 -3 5 4 4 5 2
4 6 8 6 0 5 16 4 5 1 3 5 6 1 4
5 5 5 6 6 0 5 3 6
8 6 4 6 0 8 4 16 5 4 3 5 2 6 5
0 4 5 0 6 8 0 0 6
5 8 1 1 0 5 5 5 16 4 5 8 8 5 5
0 0 8 5 5 4 4 5 8
5 0 1 6 8 8 1 4 4 16 5 4 6 6 5
8 5 0 0 4 5 8 4 1
6 8 6 0 8 4 3 3 5 5 16 5 5 8 4
3 0 3 3 3 3 5 4 5
5 8 1 6 0 2 5 5 8 4 5 16 4 6 6
0 3 0 5 0 4 4 2 8
2 4 1 4 5 6 6 2 8 6 5 4 16 5 6
5 1 4 -1 5 2 6 4 8
5 3 1 3 5 6 1 6 5 6 8 6 5 16 8
3 3 2 0 -1 3 5 0 1
5 3 4 6 4 1 4 5 5 5 4 6 6 8 16
5 5 0 6 2 6 4 -1 6
1 0 5 5 8 4 5 0 0 8 3 0 5 3 5
16 8 4 5 8 5 8 8 -3
1 3 5 8 5 4 5 4 0 5 0 3 1 3 5
8 16 3 4 5 1 5 3 -3
1 8 5 0 0 6 5 5 8 0 3 0 4 2 0
4 3 16 5 6 0 0 6 0
4 4 5 4 3 -3 6 0 5 0 3 5 -1 0 6
5 4 5 16 5 4 3 6 2
4 3 5 4 4 5 6 6 5 4 3 0 5 -1 2
8 5 6 5 16 6 4 8 2
8 0 4 3 6 4 0 8 4 5 3 4 2 3 6
5 1 0 4 6 16 5 3 5
1 0 5 2 8 4 5 0 4 8 5 4 6 5 4
8 5 0 3 4 5 16 4 1
1 5 2 5 4 5 3 0 5 4 4 2 4 0 -1
8 3 6 6 8 3 4 16 -1
5 8 1 3 0 2 6 6 8 1 5 8 8 1 6
-3 -3 0 2 2 5 1 -1 16
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 30 30 30 30 30 30 30 30 30 30
30 30
-
MINIMAL_NORM
16
-
KISSING_NUMBER
2160
-
GROUP_ORDER
34560
-
GROUP_NAME
(C3.M10 x D8).C2
-
GROUP_GENERATORS
3
24
0 -2 2 2 -2 -3 0 -3 -1 2 0 -1 -1 3 -1
-2 1 3 -2 1 2 0 1 3
0 -2 3 3 -3 -2 -2 -3 0 1 0 -1 -1 3 -2
0 1 2 -1 1 1 0 0 4
0 -1 1 1 -1 -1 -1 0 1 0 0 -1 0 1 -1
1 0 0 0 0 0 0 0 1
0 0 0 0 0 -1 1 -1 -1 1 -1 0 -1 1 0
-1 0 1 -1 0 1 0 1 1
1 -1 -1 0 0 0 0 -1 -1 0 0 0 -1 0 1
-1 0 2 -1 0 0 1 1 1
-1 0 1 1 -1 -1 0 -1 0 1 0 -1 0 1 -1
0 0 0 0 0 1 0 0 1
0 -1 1 1 -1 -1 -1 0 0 0 0 0 0 1 -1
1 0 0 0 0 0 0 0 1
0 -2 2 2 -2 -3 0 -3 -1 2 0 -1 -2 3 -1
-1 1 3 -2 1 1 0 1 4
-1 0 2 2 -2 -1 -1 -1 0 1 0 -1 1 2 -2
0 0 0 1 0 1 0 -1 1
0 0 -1 0 0 0 1 -1 -1 1 0 0 0 0 0
-1 0 1 0 0 1 0 0 0
1 -1 0 1 -1 0 -1 -2 -1 0 0 0 -1 1 0
0 0 2 -1 1 0 1 0 2
0 0 1 1 -1 -1 0 -2 -1 1 -1 0 0 2 -1
-1 0 1 0 1 1 0 0 1
1 -1 0 1 -2 0 -1 -1 -1 0 1 0 0 0 0
0 0 1 0 0 0 1 0 1
0 0 0 1 -1 -1 0 -2 -1 1 0 0 -1 1 0
-1 0 2 -1 1 1 1 0 1
1 0 -1 0 -1 0 0 0 -1 0 0 0 0 0 0
0 0 1 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 3 -3 -2 2 2 1 2 0 -1 -1 0 1 -2 1
1 -1 -2 2 -1 0 0 -1 -3
-1 0 1 1 -1 0 -1 0 1 0 0 -1 0 1 -1
1 0 -1 1 0 0 0 -1 1
0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0
0 0 0 0 0 0 0 0 0
-1 0 1 1 -1 -1 0 -1 0 1 0 -1 0 2 -1
0 0 0 0 0 1 -1 0 1
0 -2 2 2 -2 -3 0 -3 -1 2 0 -1 -1 3 -1
-2 1 3 -2 1 1 0 1 3
0 -1 1 1 -1 -1 -1 -1 0 1 0 0 0 1 -1
0 0 1 0 0 0 0 0 1
-2 2 1 1 0 0 0 0 1 1 -1 -1 1 1 -1
0 -1 -2 1 0 1 -1 -1 -1
2 -5 3 3 -4 -3 -2 -4 -2 1 1 0 -2 3 -1
-1 2 5 -3 1 0 1 2 6
24
0 -4 4 3 -3 -4 -1 -5 -1 2 0 0 -3 4 -1
-2 2 5 -4 2 1 0 2 6
0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0
1 0 0 0 0 0 0 0 0
1 -4 3 2 -2 -3 -1 -3 -1 1 0 0 -2 3 -1
-1 2 4 -3 1 0 0 2 5
2 -4 2 2 -3 -2 -2 -4 -1 0 1 0 -2 2 0
-1 2 4 -3 1 0 1 2 5
1 -3 2 1 -2 -2 -1 -3 -1 1 0 0 -2 3 -1
-1 2 3 -2 1 0 0 2 5
1 -5 3 3 -3 -3 -2 -4 -1 1 1 0 -2 3 -1
-1 2 5 -3 1 0 0 2 6
1 -3 2 1 -1 -2 -1 -1 0 0 0 0 -1 1 0
0 1 2 -2 0 -1 0 2 3
0 -3 3 3 -2 -3 -1 -4 0 1 0 0 -2 3 -1
-1 1 4 -3 1 1 0 1 4
-1 -1 2 1 -1 -1 -1 0 1 0 0 0 0 1 -1
1 0 0 0 0 0 -1 0 1
2 -3 0 0 -1 -1 -1 -2 -2 0 0 1 -2 1 1
-1 1 4 -2 1 -1 1 2 4
0 1 -1 -1 1 1 0 1 0 -1 -1 0 0 0 0
1 0 -1 1 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 0 0
1 -3 1 0 -1 -1 -1 -1 -1 0 0 1 -1 1 0
0 1 2 -1 0 -1 0 2 3
0 -1 1 1 -1 -1 -1 -1 0 0 0 0 0 1 -1
0 1 1 0 0 0 0 0 2
2 -2 0 0 -1 0 -1 -1 -1 -1 0 1 -1 0 1
0 1 2 -1 0 -1 1 1 2
2 -3 0 -1 0 0 -1 0 -1 -1 0 1 -1 0 1
0 1 2 -1 0 -2 1 2 3
3 -4 0 0 -1 -1 -1 -2 -1 -1 1 1 -2 0 1
0 2 4 -3 0 -1 1 2 4
-1 -1 2 1 0 -1 -1 0 1 0 0 0 0 1 -1
1 0 0 0 0 0 -1 0 1
0 0 1 0 0 0 -1 1 1 -1 0 0 0 0 0
1 0 -1 0 0 -1 0 0 0
1 -4 2 1 -1 -2 -1 -2 0 0 0 1 -2 2 0
0 1 3 -3 1 -1 0 2 4
0 -3 3 2 -2 -2 -1 -3 0 1 0 0 -2 3 -1
-1 1 3 -2 1 0 0 1 4
1 -2 1 0 -1 -1 -1 0 0 0 0 0 0 1 -1
0 1 1 0 0 -1 0 1 2
0 0 0 -1 0 1 -1 1 0 -1 0 0 1 0 0
1 0 -1 1 0 -1 0 0 0
0 -1 1 1 -1 -1 0 -1 0 0 0 0 -1 1 0
0 0 1 -1 0 0 0 1 1
24
1 -5 3 3 -3 -4 -1 -5 -1 2 1 0 -3 4 -1
-2 2 5 -4 2 1 0 2 6
1 -3 1 1 -1 -2 0 -1 0 0 1 0 -1 1 0
0 1 2 -2 0 0 0 1 2
0 -1 0 1 0 -1 0 -1 0 0 0 0 -1 1 0
0 0 1 -1 1 0 0 0 1
1 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0
0 -2 1 1 -1 -2 0 -2 0 1 0 0 -2 2 0
-1 1 2 -2 1 0 0 1 3
1 -2 0 0 0 -1 0 -2 -1 0 0 1 -2 1 1
-1 1 3 -2 1 0 0 1 2
2 0 -3 -2 1 2 0 1 -1 -2 0 1 0 -2 2
1 0 0 0 0 -1 1 0 -1
1 -2 1 1 -1 -2 0 -3 -1 1 0 0 -1 2 0
-2 1 3 -2 1 1 0 1 2
2 -3 0 0 -1 0 -1 -1 -1 -1 1 1 -1 0 1
0 1 2 -1 0 -1 1 1 2
0 -2 2 1 -1 -2 -1 -2 0 1 0 0 -2 2 0
-1 1 2 -2 1 0 0 1 3
0 -3 2 2 -2 -3 0 -3 0 1 1 0 -2 2 0
-1 1 3 -3 1 1 0 1 3
0 0 0 -1 0 0 0 1 0 0 0 0 1 0 0
0 0 -1 1 0 0 0 0 -1
2 -2 -1 -1 0 0 0 -1 -1 -1 0 1 -2 0 2
0 1 2 -2 0 -1 1 2 2
-1 -2 3 2 -2 -3 0 -3 0 2 0 0 -1 3 -1
-2 1 2 -2 1 2 -1 1 2
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
0 0 -1 0 0 0 0 0 -1
0 0 0 0 0 0 -1 1 1 -1 0 0 0 0 0
1 0 -1 0 0 -1 0 0 0
0 -1 1 1 -1 -1 -1 0 1 0 0 -1 0 1 -1
0 1 0 0 0 0 0 0 1
2 -3 0 1 -1 -1 -1 -1 -1 -1 1 1 -1 0 1
0 1 3 -2 0 -1 1 1 2
1 0 -1 0 -1 1 -1 1 0 -1 1 0 1 -1 0
1 0 -1 1 0 -1 1 -1 -1
2 -2 -1 0 -1 0 -1 -1 -1 -1 1 0 -1 0 1
0 1 2 -1 0 -1 1 1 2
0 0 0 0 0 0 0 -1 0 0 0 0 0 1 0
-1 0 0 0 1 0 0 0 0
-1 3 -2 -2 2 2 1 2 0 -1 -1 0 1 -1 1
0 -1 -3 2 0 0 0 -1 -3
1 -1 0 0 -1 0 -1 0 0 -1 1 0 0 0 0
1 1 0 0 0 -1 0 0 1
2 -1 -2 -2 1 1 1 0 -1 -1 0 1 -1 -1 2
0 0 1 -1 0 -1 1 1 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe