The Lattice (C2 x D78).C12
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 13:24:11 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 D78).C12
-
DIMENSION
24
-
GRAM
24
6 1 0 2 -2 2 -2 -1 -1 3 2 2 -3 -1 0
0 -2 -2 -1 -2 0 0 -3 -1
1 6 1 -1 -3 0 -2 -1 1 2 0 -1 -2 2 0
1 -1 -3 -3 -3 -1 -1 -3 2
0 1 6 0 -3 -1 -2 1 2 -2 0 -2 -2 0 1
1 2 2 0 0 2 1 -3 1
2 -1 0 6 2 2 2 -2 0 3 -1 -1 0 -2 1
2 2 -1 2 -2 2 -2 -1 -2
-2 -3 -3 2 10 -2 2 1 2 -2 -3 -1 5 1 3
2 0 -2 5 -2 -2 -2 5 -1
2 0 -1 2 -2 6 2 0 -3 3 2 0 -2 -2 -3
-2 0 -2 -2 1 2 -1 -1 -1
-2 -2 -2 2 2 2 6 -1 0 2 -1 0 1 -1 0
0 2 0 0 0 2 -2 2 0
-1 -1 1 -2 1 0 -1 6 -1 -2 1 -1 0 -1 1
0 1 0 -1 1 1 2 2 0
-1 1 2 0 2 -3 0 -1 8 -3 -3 -1 3 1 2
1 0 2 0 -1 -2 -2 1 2
3 2 -2 3 -2 3 2 -2 -3 10 3 2 -4 -1 -2
2 0 -3 -3 -1 1 -3 -4 1
2 0 0 -1 -3 2 -1 1 -3 3 6 3 -4 0 -3
-1 0 0 -2 1 1 0 -2 1
2 -1 -2 -1 -1 0 0 -1 -1 2 3 6 -1 1 -2
-1 -2 1 -2 0 0 -1 0 1
-3 -2 -2 0 5 -2 1 0 3 -4 -4 -1 8 1 1
0 0 0 3 0 -3 -1 5 0
-1 2 0 -2 1 -2 -1 -1 1 -1 0 1 1 6 1
0 -1 -2 0 -3 -2 0 1 1
0 0 1 1 3 -3 0 1 2 -2 -3 -2 1 1 8
1 2 0 1 -3 0 2 0 0
0 1 1 2 2 -2 0 0 1 2 -1 -1 0 0 1
6 2 -1 2 -3 0 -1 0 1
-2 -1 2 2 0 0 2 1 0 0 0 -2 0 -1 2
2 6 2 1 0 3 1 0 1
-2 -3 2 -1 -2 -2 0 0 2 -3 0 1 0 -2 0
-1 2 8 0 4 1 2 0 1
-1 -3 0 2 5 -2 0 -1 0 -3 -2 -2 3 0 1
2 1 0 8 -1 -1 0 2 -2
-2 -3 0 -2 -2 1 0 1 -1 -1 1 0 0 -3 -3
-3 0 4 -1 8 0 1 0 0
0 -1 2 2 -2 2 2 1 -2 1 1 0 -3 -2 0
0 3 1 -1 0 6 0 -1 -1
0 -1 1 -2 -2 -1 -2 2 -2 -3 0 -1 -1 0 2
-1 1 2 0 1 0 6 0 -1
-3 -3 -3 -1 5 -1 2 2 1 -4 -2 0 5 1 0
0 0 0 2 0 -1 0 8 -2
-1 2 1 -2 -1 -1 0 0 2 1 1 1 0 1 0
1 1 1 -2 0 -1 -1 -2 6
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 39 39
-
MINIMAL_NORM
6
-
KISSING_NUMBER
1560
-
GROUP_ORDER
1872
-
GROUP_NAME
(C2 x D78).C12
-
GROUP_GENERATORS
2
24
-2 -1 -2 1 -2 1 -1 1 2 0 0 1 -1 0 1
0 0 -1 1 0 0 0 0 0
-1 1 0 1 0 1 0 0 0 -1 1 1 0 0 1
1 -1 0 0 1 0 0 0 0
0 0 0 1 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 1 0 0 0 0
3 2 0 0 1 -2 2 1 -1 0 0 -1 1 1 -1
-1 0 1 0 1 1 0 0 0
3 2 1 -3 2 -1 2 0 -1 1 0 -1 2 0 -1
0 0 2 0 0 1 0 -1 -1
0 0 1 0 0 0 0 0 0 0 -1 1 -1 -1 0
-1 1 -1 0 0 -1 0 1 0
2 1 1 -1 1 -1 1 0 -1 0 -1 0 0 0 -1
-1 1 0 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 -1 0 0 0
-1 0 0 -2 1 2 -1 -1 1 1 0 1 1 0 0
1 0 0 0 0 1 1 -1 -1
-2 0 -1 2 -2 1 -1 2 1 0 -1 2 -2 0 1
-1 0 -1 2 0 -1 0 1 1
-2 -1 -1 2 -2 1 -1 1 1 0 -1 1 -2 0 1
0 0 -1 1 0 -1 0 1 1
-3 -1 -1 0 -1 2 -2 0 2 1 0 1 -1 -1 1
0 0 -1 1 -1 0 1 0 0
2 2 2 -3 3 -1 1 -2 -1 1 1 -1 2 -1 -1
0 0 1 -1 0 1 1 0 -1
0 1 1 -3 2 2 -1 -2 0 1 1 0 1 -1 1
1 0 1 0 0 1 0 0 -1
1 0 -1 -1 0 0 0 0 0 0 0 -1 1 1 0
0 0 1 0 0 1 -1 -1 0
2 1 -1 1 0 -2 2 2 -1 -1 0 -1 0 2 -1
0 0 1 0 1 0 -1 -1 0
4 1 0 1 1 -3 2 1 -2 -1 -1 -2 0 2 -2
-1 1 1 -1 1 0 -1 0 1
0 -2 -1 0 0 0 -1 0 0 0 -1 -1 0 1 -1
0 1 0 -1 -1 0 0 -1 0
5 1 -1 0 1 -4 3 1 -2 -1 0 -3 1 2 -2
0 0 2 -1 1 1 -1 -1 0
-3 -4 0 1 -2 1 -3 0 1 1 -2 1 -2 -1 0
-1 1 -2 0 -2 -2 0 1 1
2 1 0 2 0 -2 2 1 -1 -1 0 -1 0 1 -1
-1 0 0 0 1 0 0 0 1
0 -2 0 -1 0 0 -1 -1 0 0 0 -1 0 0 0
0 1 0 -1 -1 0 -1 0 0
3 1 1 -3 2 -1 2 -1 -1 0 1 -2 2 0 -1
1 0 1 -1 0 1 0 -1 -1
-1 0 0 0 0 1 -1 0 0 0 -1 1 -1 0 0
0 1 0 0 0 -1 0 0 0
24
2 3 1 -1 2 0 2 -1 -1 0 2 -1 2 0 0
1 -1 2 0 1 1 1 0 -1
0 1 2 -2 2 1 0 -1 0 1 0 1 1 -1 0
0 1 0 0 0 0 1 0 -1
0 2 1 0 1 0 1 0 0 0 0 1 0 0 0
0 0 0 0 1 0 1 0 -1
5 3 -1 1 1 -3 4 1 -2 -2 2 -3 2 2 -1
1 -1 2 -1 2 1 0 -1 0
1 -1 -2 0 -1 -1 -1 0 0 0 0 -2 0 1 0
0 0 0 0 0 1 -1 0 1
3 2 0 1 0 -2 3 1 -1 -1 1 -1 1 1 -1
0 0 1 0 1 0 0 0 0
2 -1 -1 1 -1 -2 1 1 -1 -1 0 -2 0 1 -1
0 0 0 -1 0 0 -1 0 1
-3 -2 -1 0 -2 2 -2 0 2 1 -1 1 -1 0 1
0 0 -1 1 -1 0 0 0 0
-2 -1 0 -1 0 2 -3 -1 1 1 -1 1 -1 -1 1
0 1 -1 0 0 0 0 1 0
3 1 1 0 1 -2 3 0 -2 -1 1 -2 1 0 -1
0 0 1 -1 0 -1 0 0 0
0 -1 0 0 0 0 0 0 0 0 -1 0 -1 0 -1
-1 1 0 0 -1 -1 0 0 0
-1 -1 0 -1 0 1 -1 -1 0 0 0 0 0 -1 0
0 0 0 0 -1 0 0 0 0
-2 -1 -2 1 -2 1 -2 1 1 0 -1 1 -1 0 1
0 0 -1 1 0 0 -1 0 1
-2 -1 0 -1 0 1 -2 0 1 1 -1 1 -1 -1 0
-1 1 -1 1 -1 0 0 0 0
-1 -1 -2 1 -1 0 -1 1 1 0 0 -1 0 1 0
1 -1 0 0 0 1 0 -1 0
2 2 2 -3 3 0 1 -2 -1 1 1 -1 2 -1 0
0 0 1 -1 0 1 1 0 -1
1 0 -1 1 0 -1 1 1 0 -1 0 -1 0 1 -1
0 0 0 -1 0 0 0 -1 0
-4 -3 -1 1 -2 2 -3 0 2 0 -1 2 -2 -1 1
0 0 -2 0 -1 -1 0 0 0
2 2 0 0 1 -1 1 0 -1 0 1 -1 1 1 0
0 -1 1 0 1 1 0 0 0
-1 -1 0 3 -2 -1 0 1 0 -1 -1 1 -2 0 0
-1 0 -1 0 0 -2 -1 1 1
3 1 -1 1 0 -2 3 1 -1 -2 1 -2 1 2 -1
1 -1 1 -1 1 1 0 -1 0
-4 -1 0 1 -1 2 -2 0 2 1 0 2 -1 -1 1
0 -1 -1 1 -1 0 1 0 0
-2 -3 -2 -1 -2 2 -3 0 2 1 -1 0 -1 0 1
0 0 -1 1 -1 1 -1 0 1
-3 -1 1 0 0 1 -2 -1 1 1 -1 2 -1 -2 0
-1 1 -2 0 -1 -1 1 1 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe