The Lattice (C3.M10 x SL(2,3)).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 13:23:59 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 SL(2,3)).C2
-
DIMENSION
24
-
GRAM
24
8 1 2 2 2 1 4 2 4 4 0 1 3 1 2
4 2 2 1 2 2 2 4 -1
1 8 2 4 4 2 1 2 1 0 2 4 2 2 2
2 2 1 4 2 3 1 0 2
2 2 8 2 4 2 2 2 2 4 2 4 2 2 2
4 1 2 0 3 4 4 0 2
2 4 2 8 2 1 2 2 4 1 1 3 1 1 3
2 4 1 2 4 2 3 2 1
2 4 4 2 8 2 0 0 3 2 2 2 4 4 4
3 1 1 2 0 3 4 1 4
1 2 2 1 2 8 2 4 0 2 4 4 0 2 2
1 2 2 4 2 2 1 1 4
4 1 2 2 0 2 8 4 2 3 0 2 0 0 1
2 4 2 1 4 2 2 2 0
2 2 2 2 0 4 4 8 1 4 2 4 2 2 2
1 3 4 2 2 2 0 1 2
4 1 2 4 3 0 2 1 8 2 2 1 2 1 3
4 2 2 0 2 4 4 4 2
4 0 4 1 2 2 3 4 2 8 2 2 4 2 2
2 2 4 2 1 2 2 2 0
0 2 2 1 2 4 0 2 2 2 8 2 1 3 1
2 1 4 3 2 4 2 2 3
1 4 4 3 2 4 2 4 1 2 2 8 2 0 4
2 1 2 2 4 4 1 0 2
3 2 2 1 4 0 0 2 2 4 1 2 8 4 2
1 2 3 2 0 2 2 3 0
1 2 2 1 4 2 0 2 1 2 3 0 4 8 2
2 1 2 4 0 1 2 2 4
2 2 2 3 4 2 1 2 3 2 1 4 2 2 8
3 1 1 2 1 2 1 1 2
4 2 4 2 3 1 2 1 4 2 2 2 1 2 3
8 0 0 1 4 2 2 0 1
2 2 1 4 1 2 4 3 2 2 1 1 2 1 1
0 8 2 2 2 1 2 4 0
2 1 2 1 1 2 2 4 2 4 4 2 3 2 1
0 2 8 2 0 4 0 4 1
1 4 0 2 2 4 1 2 0 2 3 2 2 4 2
1 2 2 8 1 1 0 1 2
2 2 3 4 0 2 4 2 2 1 2 4 0 0 1
4 2 0 1 8 2 3 0 0
2 3 4 2 3 2 2 2 4 2 4 4 2 1 2
2 1 4 1 2 8 2 2 2
2 1 4 3 4 1 2 0 4 2 2 1 2 2 1
2 2 0 0 3 2 8 2 2
4 0 0 2 1 1 2 1 4 2 2 0 3 2 1
0 4 4 1 0 2 2 8 1
-1 2 2 1 4 4 0 2 2 0 3 2 0 4 2
1 0 1 2 0 2 2 1 8
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 10 10 10 10 10 10 10 10 10 10
10 10
-
MINIMAL_NORM
8
-
KISSING_NUMBER
1080
-
GROUP_ORDER
103680
-
GROUP_NAME
(C3.M10 x SL(23)).C2
-
GROUP_GENERATORS
2
24
0 -1 -1 0 2 0 0 0 0 0 0 1 -1 1 -1
0 0 0 0 0 0 0 0 -1
0 -1 -1 0 2 -1 -1 1 0 0 0 2 -2 1 -1
0 0 0 0 0 0 0 1 -1
0 0 -1 0 0 0 0 -1 0 1 0 1 0 1 0
0 0 0 -1 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 0 0 0 -1 -1 -1 1 -1 1 -1 1 0
1 1 1 -1 0 1 1 0 0
0 0 -1 -1 1 0 -1 0 1 1 -1 2 -2 2 -1
0 1 0 -1 0 0 0 0 -1
0 0 0 -1 1 0 0 0 1 0 0 1 -1 1 0
-1 0 0 0 0 -1 0 0 -1
0 -1 0 0 1 0 0 0 1 0 0 2 -1 1 -1
0 0 0 0 -1 -1 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 0
0 -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 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 -1 0 0 0 0 0
0 -1 -1 0 2 -1 -1 1 0 1 0 2 -2 1 -1
0 0 -1 0 0 0 0 1 -1
0 -1 -1 1 0 0 0 0 -1 0 0 0 0 0 0
1 0 0 0 -1 1 1 0 0
0 0 -1 0 -1 0 0 -1 0 0 0 1 0 1 0
1 1 1 -1 -1 0 1 -1 0
0 -1 -1 0 2 -1 -1 0 0 1 0 2 -2 1 -1
0 1 0 0 0 0 0 0 -1
0 -1 -1 0 2 -1 0 0 0 0 0 2 -1 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 -1 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 2 -1 -1 1 1 0 0 2 -2 1 -1
0 1 0 0 0 0 0 0 -1
-1 0 0 0 1 0 0 1 0 0 0 0 0 0 0
0 -1 -1 0 0 0 0 1 -1
0 0 -1 0 0 0 0 -1 0 1 0 1 -1 1 0
0 0 0 -1 0 0 0 0 0
0 1 0 0 -1 1 0 -1 0 0 0 -1 1 0 1
0 0 0 -1 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 1 -1 -1 -1 0 -1 -1 0 1 -1 1 -1 1 0
1 1 1 -1 0 0 1 0 0
24
0 1 0 0 -2 1 0 -1 -1 0 -1 -2 1 -1 1
1 0 1 0 0 1 1 0 1
0 0 0 0 1 0 0 1 -1 0 0 -1 0 -1 0
0 -1 0 0 1 0 0 1 0
0 1 0 -1 -1 1 -1 0 0 0 -1 -1 0 0 1
0 0 1 0 1 0 1 0 0
0 1 1 0 -1 0 0 0 -1 0 0 -2 1 -1 1
0 -1 0 0 1 0 0 1 1
0 1 -1 -1 0 0 -1 0 0 1 -1 0 -1 0 0
0 0 1 0 1 0 1 0 0
1 1 0 0 -1 1 0 -1 1 0 0 0 0 1 0
-1 0 1 -1 0 -1 0 -1 0
0 1 -1 0 -2 1 0 -1 -1 0 -1 -1 1 0 1
1 0 1 -1 0 1 1 0 1
1 1 0 0 -2 1 0 -1 0 0 0 -1 1 0 1
0 0 1 -1 0 0 0 -1 1
0 1 0 0 -2 0 0 -1 -1 0 0 -1 1 -1 1
1 0 1 0 0 0 1 0 1
0 1 0 0 -2 1 -1 0 -1 0 -1 -2 1 -1 1
1 0 1 0 0 1 1 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 0 -1 0 0 0
1 1 0 0 -2 1 0 -1 -1 0 0 -1 1 0 1
0 0 1 -1 0 0 1 -1 1
0 0 -1 0 0 0 -1 0 -1 1 -1 0 -1 0 0
1 0 1 0 0 1 1 0 0
0 0 -1 0 1 0 -1 0 0 1 -1 0 -1 0 0
0 0 1 0 1 0 0 0 0
1 1 0 0 -2 0 0 -1 -1 0 0 -1 1 -1 1
0 0 1 0 0 0 1 -1 2
0 1 0 0 -2 1 0 -1 -1 0 -1 -1 1 -1 1
1 0 1 0 0 0 1 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 -1 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 1 1 0 0 1 -1 0 0 -1 0 -1 0
0 -1 0 0 0 0 0 1 0
0 1 0 0 -2 1 0 -1 -1 0 -1 -1 1 0 1
1 0 1 -1 0 0 1 0 1
0 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0
1 0 1 0 0 0 1 0 0
0 1 0 -1 -1 0 -1 0 0 0 -1 -1 0 0 1
0 0 1 0 1 0 1 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
1 1 -1 -1 0 0 -1 -1 1 1 0 1 -1 1 0
-1 1 1 -1 1 -1 0 -1 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe