The Lattice (Alt5 x ((C3 x D8).C2)).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 13:24:01 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
(Alt5 x ((C3 x D8).C2)).C2
-
DIMENSION
24
-
GRAM
24
10 0 3 3 5 -1 4 3 5 0 -1 0 0 -3 -5
0 0 1 0 2 -2 3 -2 0
0 10 -3 -3 -5 1 0 1 -5 0 -3 -2 0 -5 0
0 1 1 -2 -3 0 -1 0 -4
3 -3 14 -1 6 -4 -3 -2 6 -3 1 5 -6 4 0
-2 -2 5 0 -4 2 7 3 1
3 -3 -1 16 4 4 -1 -5 4 5 0 0 5 1 0
-5 -4 0 0 -3 0 0 1 8
5 -5 6 4 16 -6 3 -1 8 3 2 5 3 5 -1
-3 -1 -3 -3 4 3 4 2 7
-1 1 -4 4 -6 16 1 -3 -8 -2 -5 1 -2 -8 -1
2 3 -2 2 2 -2 -1 0 -2
4 0 -3 -1 3 1 16 8 0 3 -5 5 -2 -4 1
5 5 -8 -3 5 -5 1 -3 3
3 1 -2 -5 -1 -3 8 16 -2 0 0 1 -5 -3 -3
8 2 -7 -4 6 -4 -1 1 -3
5 -5 6 4 8 -8 0 -2 16 3 1 2 3 8 -1
-3 -4 5 2 1 -2 4 2 6
0 0 -3 5 3 -2 3 0 3 10 2 0 5 4 0
0 0 -1 -3 2 -1 0 1 5
-1 -3 1 0 2 -5 -5 0 1 2 10 -1 2 5 -1
0 0 0 1 0 3 1 0 -2
0 -2 5 0 5 1 5 1 2 0 -1 10 -3 0 3
1 3 -3 0 2 0 5 2 4
0 0 -6 5 3 -2 -2 -5 3 5 2 -3 16 -1 -3
-5 0 4 2 1 4 -3 -3 5
-3 -5 4 1 5 -8 -4 -3 8 4 5 0 -1 16 3
0 -5 -1 0 1 0 0 4 4
-5 0 0 0 -1 -1 1 -3 -1 0 -1 3 -3 3 10
0 0 -2 0 -4 1 0 1 3
0 0 -2 -5 -3 2 5 8 -3 0 0 1 -5 0 0
10 2 -5 -1 6 -3 -1 0 -3
0 1 -2 -4 -1 3 5 2 -4 0 0 3 0 -5 0
2 10 -4 0 4 -1 3 -1 -4
1 1 5 0 -3 -2 -8 -7 5 -1 0 -3 4 -1 -2
-5 -4 18 2 -5 4 0 -1 2
0 -2 0 0 -3 2 -3 -4 2 -3 1 0 2 0 0
-1 0 2 10 0 0 0 -2 -3
2 -3 -4 -3 4 2 5 6 1 2 0 2 1 1 -4
6 4 -5 0 18 -3 -2 3 -1
-2 0 2 0 3 -2 -5 -4 -2 -1 3 0 4 0 1
-3 -1 4 0 -3 10 0 0 3
3 -1 7 0 4 -1 1 -1 4 0 1 5 -3 0 0
-1 3 0 0 -2 0 10 1 -1
-2 0 3 1 2 0 -3 1 2 1 0 2 -3 4 1
0 -1 -1 -2 3 0 1 10 1
0 -4 1 8 7 -2 3 -3 6 5 -2 4 5 4 3
-3 -4 2 -3 -1 3 -1 1 16
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 15 15 15 15 30 30 30 30 30 30
30 30
-
MINIMAL_NORM
10
-
KISSING_NUMBER
144
-
GROUP_ORDER
5760
-
GROUP_NAME
(A5 x ((C3 x D8).C2)).C2
-
GROUP_GENERATORS
3
24
-2 1 1 0 1 1 0 1 1 0 0 -1 0 0 0
0 0 0 0 0 0 0 -1 0
-1 0 -1 1 1 -1 0 0 -1 0 -1 0 -1 0 -1
1 0 1 1 0 0 1 0 0
2 -1 1 -1 -2 1 0 0 1 1 0 1 1 0 1
-1 -1 -1 -2 0 1 -1 0 -1
0 0 0 -1 0 1 0 1 0 0 0 0 0 1 0
-2 0 0 0 0 0 0 0 0
0 0 1 -1 -1 1 1 0 1 0 1 0 1 0 0
-1 -1 -1 -1 0 0 0 0 0
0 0 -2 0 2 0 0 1 -2 -1 0 0 0 1 0
0 0 2 1 -1 -1 1 1 0
-2 1 0 1 2 -1 1 0 -1 -1 0 -1 0 0 0
1 0 1 1 0 -1 1 0 0
-2 1 2 1 0 -1 0 -1 1 0 0 -1 0 -2 0
1 0 -1 0 1 0 0 -1 0
-1 1 2 0 -1 1 1 0 2 0 1 -1 0 0 0
-1 0 -1 -1 1 1 -1 -1 0
0 0 -1 0 0 -1 0 -1 0 0 0 1 -1 0 -1
0 0 0 0 0 0 0 0 0
1 -1 0 -1 -1 0 -1 -1 1 1 0 1 0 -1 0
0 0 -1 -1 0 0 -1 0 0
1 -1 0 0 -1 -1 1 -1 -1 0 0 1 1 0 0
0 -1 0 -1 0 0 0 1 -1
0 0 -1 0 0 0 0 0 0 -1 0 1 0 1 -1
0 0 0 0 0 0 0 0 0
2 -1 0 -1 -2 0 0 -1 1 1 0 1 0 0 0
-1 0 -1 -1 0 1 -1 0 0
1 -1 0 0 -1 -1 1 -1 -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 0 0 0 0 -1 0
1 0 0 0 0 0 0 0 0
-1 0 -1 1 1 -1 0 0 -1 -1 0 0 0 0 0
1 0 1 0 0 -1 1 0 0
1 0 0 0 -1 1 0 0 1 0 0 1 0 1 0
0 0 0 -1 0 1 -1 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
-2 1 0 1 0 -1 1 -1 1 -1 1 0 0 -1 -1
1 0 0 0 0 0 0 0 0
2 -1 0 -1 -2 0 0 -1 0 0 0 1 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 -1 0 0 0 0 0
0 0 1 0 -2 0 1 -1 1 0 1 0 0 -1 0
-1 -1 -1 -1 1 1 0 0 0
2 -1 0 -1 -2 0 1 -1 0 0 0 1 1 1 0
-1 -1 -1 -1 0 1 0 1 -1
24
0 1 0 0 0 0 0 0 0 -1 1 0 0 0 0
0 0 0 0 0 -1 0 0 1
0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0
0 0 1 0 0 -1 0 0 0
2 -1 0 -1 -2 0 0 -1 0 0 1 1 1 0 0
0 -1 -1 -1 0 0 0 1 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 1 -1 1 -1 0 0 0
0 0 0 0 0 0 1 0 1
0 0 1 0 0 -1 -1 -1 0 1 -1 0 0 -1 0
1 0 -1 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 1
0 0 -1 0 1 0 0 1 -2 -1 0 0 0 1 0
-1 0 1 1 0 -1 1 0 1
1 0 0 -1 -2 1 0 0 2 0 1 1 0 0 0
-1 0 -1 -1 0 1 -1 0 0
-1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1 0 0
2 -1 0 -1 -2 0 0 -1 0 0 0 1 1 0 0
0 -1 -1 -1 0 1 0 1 0
-1 1 -1 0 2 1 0 1 1 0 0 -1 -1 0 0
0 1 1 1 -1 0 0 0 0
0 -1 -1 0 -1 0 0 0 1 0 0 1 0 0 0
0 0 0 -1 0 1 0 0 -1
1 -1 0 0 -1 0 0 0 0 0 -1 1 1 1 0
0 0 0 -1 0 1 0 0 -1
1 -1 -1 0 0 -1 -1 0 -1 0 -1 1 0 0 0
0 0 0 0 0 0 0 0 0
1 -1 -1 0 0 -1 0 -1 -1 0 -1 1 0 0 -1
1 0 0 0 -1 0 0 1 0
1 0 1 -1 -1 0 0 -1 1 1 1 0 0 -1 0
0 0 -1 0 0 0 -1 0 0
1 0 0 0 -1 0 0 -1 1 0 0 1 0 0 0
0 0 -1 -1 0 1 -1 0 -1
-2 1 0 1 1 -1 0 0 0 -1 0 -1 -1 -1 -1
1 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 1 0 0
2 -1 0 -1 -2 0 0 -1 0 0 0 1 1 0 0
0 -1 -1 -1 0 0 0 1 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 -1 0 0 0 1 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0
24
-1 0 0 0 1 0 0 0 0 1 0 -1 -1 -1 0
0 0 0 1 0 0 0 0 0
0 0 1 0 0 0 0 0 -1 0 0 0 1 0 0
0 0 0 0 0 -1 0 0 0
0 0 -1 0 1 1 0 1 0 0 0 0 0 1 1
-1 0 1 0 0 0 0 0 -1
1 -1 -2 0 0 -1 -1 -1 0 1 -1 2 -1 0 -1
1 0 0 0 -1 1 0 0 -1
1 -1 0 -1 -1 1 0 0 1 1 0 0 0 0 1
-1 -1 -1 -1 0 1 0 0 -1
0 0 -1 1 0 -2 -1 -1 0 0 -1 1 -1 -1 -1
1 1 0 0 0 0 0 0 0
1 -1 0 -1 -1 0 0 0 0 1 -1 0 0 0 0
-1 0 -1 0 0 1 0 0 0
0 0 1 -1 -1 0 1 -1 0 0 1 -1 0 -1 0
-1 -1 -1 0 1 0 0 0 1
-1 0 -1 0 2 1 0 1 0 0 0 -1 -1 1 0
0 1 1 1 -1 0 0 0 0
2 -1 -1 -1 0 0 -1 0 -1 1 -1 1 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 -1 0 0 0 0 0 0 0
1 -1 -1 0 -1 0 0 0 0 0 -1 1 0 1 0
-1 0 0 -1 0 1 0 0 -1
0 0 0 0 0 0 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 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0
1 -1 0 0 -1 0 0 0 0 0 -1 1 1 1 0
0 0 0 -1 0 1 0 0 -1
0 0 1 0 -1 -1 0 -1 0 0 0 -1 0 -1 0
0 0 -1 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 -1 0 2 1 -1 2 -1 0 0 0 0 1 1
0 1 2 1 -1 -1 0 0 0
-2 1 0 2 1 -1 1 0 0 -1 0 -1 -1 0 -1
1 1 1 1 0 0 0 0 0
0 0 1 0 -1 -1 0 -1 0 0 0 -1 -1 -1 0
0 0 -1 0 1 0 0 0 1
1 -1 0 0 -1 0 0 0 0 0 0 1 1 0 1
0 -1 0 -1 0 0 0 0 -1
1 -1 -2 0 1 0 0 0 -1 0 -1 1 0 1 0
0 0 1 0 -1 0 0 1 -1
0 0 -1 0 1 0 0 0 -1 -1 0 0 0 1 0
0 0 1 0 0 -1 1 0 0
2 -2 -2 -1 -1 0 -1 0 0 1 -1 2 0 1 0
0 0 0 -1 -1 1 0 0 -1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe