The Lattice (C2 x Alt5 x Alt5).(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 13:22:41 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 Alt5 x Alt5).(C2 x C2)
-
DIMENSION
18
-
GRAM
18
5 0 0 1 -1 0 -1 1 -1 1 1 -1 -1 0 0
1 1 -1
0 5 0 -1 0 -1 -1 -1 -1 1 -1 -1 0 0 0
-1 -1 0
0 0 5 0 -1 1 1 0 -1 -1 -1 -1 -1 0 0
0 0 -1
1 -1 0 5 1 1 -1 0 -1 -1 -1 0 0 -1 -1
0 0 -1
-1 0 -1 1 5 1 -1 -1 -1 1 1 1 0 1 -1
1 0 0
0 -1 1 1 1 5 -1 -1 1 -1 0 -1 -1 1 1
0 -1 0
-1 -1 1 -1 -1 -1 5 -1 -1 0 -1 -1 1 0 -1
1 1 -1
1 -1 0 0 -1 -1 -1 5 0 0 1 -1 -1 -1 -1
0 0 1
-1 -1 -1 -1 -1 1 -1 0 5 0 -1 0 -1 -1 1
1 -1 1
1 1 -1 -1 1 -1 0 0 0 5 -1 -1 1 0 1
1 -1 -1
1 -1 -1 -1 1 0 -1 1 -1 -1 5 1 -1 1 0
0 1 0
-1 -1 -1 0 1 -1 -1 -1 0 -1 1 5 0 -1 1
-1 1 -1
-1 0 -1 0 0 -1 1 -1 -1 1 -1 0 5 1 -1
-1 1 0
0 0 0 -1 1 1 0 -1 -1 0 1 -1 1 5 0
-1 -1 1
0 0 0 -1 -1 1 -1 -1 1 1 0 1 -1 0 5
-1 -1 -1
1 -1 0 0 1 0 1 0 1 1 0 -1 -1 -1 -1
5 0 0
1 -1 0 0 0 -1 1 0 -1 -1 1 1 1 -1 -1
0 5 1
-1 0 -1 -1 0 0 -1 1 1 -1 0 -1 0 1 -1
0 1 5
-
DIVISORS
1 1 1 1 1 1 1 1 1 5 10 10 10 10 10 10 10 10
-
MINIMAL_NORM
5
-
KISSING_NUMBER
72
-
GROUP_ORDER
28800
-
GROUP_NAME
(C2 x A5 x A5).(C2 x C2)
-
GROUP_GENERATORS
3
18
-1 -1 -1 -1 -1 0 -2 -1 -1 0 -1 -1 -1 0 -1
0 1 -1
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 0 0
0 1 0 1 -1 1 1 0 0 1 1 1 0 0 0
0 0 1
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 -1
0 1 0 1 0 0 1 0 1 0 1 0 0 0 0
0 0 0
1 0 0 0 0 0 1 0 0 0 0 1 0 0 0
0 -1 1
0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0
0 0 0
0 0 0 0 1 -1 0 0 0 -1 0 -1 0 0 1
0 0 0
0 -1 -1 -1 0 0 -1 0 -1 -1 -1 -1 0 0 0
0 0 -1
-1 0 0 0 -1 0 -1 0 0 1 0 0 -1 1 -1
0 1 -1
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
0 0 0
1 0 0 0 1 0 1 0 1 0 0 0 0 0 0
-1 0 0
0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
0 0 0
-1 0 -1 0 -1 0 -1 0 -1 0 -1 0 -1 1 0
1 1 -1
-1 -1 0 0 -1 0 -1 -1 -1 1 0 0 -1 0 -1
0 0 0
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0
0 0 0
18
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0
1 0 0 -1 1 0 0 0 0 -1 0 0 1 -1 0
0 -1 0
1 1 1 1 1 0 2 1 1 0 1 1 1 0 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 0 0 0 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
-1 0 0 1 -1 0 0 0 0 1 1 0 0 0 0
0 0 0
1 0 0 0 1 0 1 0 1 0 0 0 0 0 0
-1 0 0
0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0
0 0 0
0 -1 -1 -1 0 0 -1 0 -1 -1 -1 -1 0 0 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 0 0 0
0 0 1
-2 0 -1 0 -2 1 -1 0 -1 1 0 0 -1 1 -1
1 1 -1
-1 0 0 0 -1 0 -1 0 0 0 0 0 0 1 0
1 1 -1
0 -1 0 -1 0 0 -1 0 -1 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 1 0 1 -1 1 1 0 0 1 1 1 0 0 0
0 0 1
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
0 0 0
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 0 0 0 0 0 0 0 0 0 0 0 0 1
0 0 0
1 0 0 0 1 0 1 0 1 0 0 0 0 0 0
-1 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
-1 0 0 1 -1 0 0 0 0 1 1 0 0 0 0
0 0 0
1 0 0 0 0 0 1 0 0 0 0 1 0 0 0
0 -1 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 -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
1 0 0
0 -1 0 -1 1 -1 -1 0 0 -1 -1 -1 0 0 0
0 0 -1
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
0 0 0
-1 1 0 1 -1 1 0 1 0 1 0 1 0 1 0
1 1 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 1 0 0 0 0
0 0 0
0 -1 0 0 0 -1 -1 -1 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
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe