The Lattice (C2.J2 Y SL(2,5)):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 13:24:40 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.J2 Y SL(2,5)):C2
-
DIMENSION
24
-
GRAM
24 24
8 -1 2 0 4 -1 -1 -1 1 -1 3 2 2 -4 3
3 0 0 -2 3 0 4 1 1
-1 8 -1 4 -1 -1 0 4 3 -2 0 -1 0 -2 -2
0 -4 0 -4 0 -2 -2 2 2
2 -1 8 -1 2 2 0 -2 -2 -1 -2 0 4 -3 -1
0 -1 -2 3 4 -2 2 -4 3
0 4 -1 8 -1 0 0 2 2 -3 3 1 1 -1 -2
0 -4 1 -3 0 -2 -2 2 0
4 -1 2 -1 8 -2 -1 -1 0 -2 -1 0 3 -4 0
3 1 -1 -2 2 -1 4 1 2
-1 -1 2 0 -2 8 2 0 -2 2 -1 -1 -2 1 -1
-3 0 0 0 3 4 -4 -2 -1
-1 0 0 0 -1 2 8 -2 2 -2 -2 -4 -1 1 -4
-1 -1 -4 -1 2 3 -4 -4 4
-1 4 -2 2 -1 0 -2 8 1 2 1 -1 -2 -1 2
-3 -2 0 -3 -1 -1 -2 4 -2
1 3 -2 2 0 -2 2 1 8 -3 3 -1 -1 0 -1
0 -3 -2 -3 0 0 -2 2 3
-1 -2 -1 -3 -2 2 -2 2 -3 8 0 1 -2 3 4
-3 4 2 2 0 2 -1 0 -4
3 0 -2 3 -1 -1 -2 1 3 0 8 4 0 1 2
1 -1 2 -2 -2 -1 1 4 -2
2 -1 0 1 0 -1 -4 -1 -1 1 4 8 1 0 2
2 0 4 2 -2 -3 4 3 -4
2 0 4 1 3 -2 -1 -2 -1 -2 0 1 8 -2 -2
1 -2 1 2 2 -4 4 0 3
-4 -2 -3 -1 -4 1 1 -1 0 3 1 0 -2 8 1
-3 2 2 2 -1 3 -4 -1 -3
3 -2 -1 -2 0 -1 -4 2 -1 4 2 2 -2 1 8
-1 2 2 1 0 1 2 2 -4
3 0 0 0 3 -3 -1 -3 0 -3 1 2 1 -3 -1
8 1 1 -2 -2 0 4 1 1
0 -4 -1 -4 1 0 -1 -2 -3 4 -1 0 -2 2 2
1 8 1 1 -1 3 1 -2 -3
0 0 -2 1 -1 0 -4 0 -2 2 2 4 1 2 2
1 1 8 1 0 1 2 4 -4
-2 -4 3 -3 -2 0 -1 -3 -3 2 -2 2 2 2 1
-2 1 1 8 0 -2 2 -3 -1
3 0 4 0 2 3 2 -1 0 0 -2 -2 2 -1 0
-2 -1 0 0 8 2 -1 -3 3
0 -2 -2 -2 -1 4 3 -1 0 2 -1 -3 -4 3 1
0 3 1 -2 2 8 -4 -1 -1
4 -2 2 -2 4 -4 -4 -2 -2 -1 1 4 4 -4 2
4 1 2 2 -1 -4 8 2 0
1 2 -4 2 1 -2 -4 4 2 0 4 3 0 -1 2
1 -2 4 -3 -3 -1 2 8 -3
1 2 3 0 2 -1 4 -2 3 -4 -2 -4 3 -3 -4
1 -3 -4 -1 3 -1 0 -3 8
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 5 5 5 5 5 5 5 5 5 5 5 5
-
MINIMAL_NORM
8
-
KISSING_NUMBER
37800
-
GROUP_ORDER
145152000
-
GROUP_NAME
(C2.J2 Y SL(25)):C2
-
GROUP_GENERATORS
2
24
3 0 2 0 -2 1 2 -2 -3 -2 -2 -1 -2 2 2
3 5 -1 2 2 -7 -7 10 3
1 1 0 1 0 0 -1 1 -1 0 0 0 -1 2 -2
-1 0 -1 1 0 2 3 0 1
0 0 0 0 -1 0 1 0 -1 -1 0 0 0 0 1
1 2 -1 1 1 -1 -2 3 1
1 -1 0 -1 0 0 0 0 -1 -1 0 0 0 0 0
0 1 1 0 0 -2 -3 1 1
3 1 2 1 -2 1 2 -2 -3 -1 -2 -1 -3 4 1
3 5 -3 3 3 -6 -4 11 3
-1 0 -1 0 1 0 -1 1 1 0 1 0 1 -1 0
-1 -2 0 0 -1 3 2 -4 -1
0 1 -1 1 0 0 -2 1 1 0 0 0 0 1 -2
-1 -1 -2 1 0 4 5 -2 -1
1 0 0 2 0 0 -1 1 0 1 -1 0 -1 2 -2
-1 -1 -1 0 0 2 4 -1 0
1 0 0 1 -1 1 0 0 -1 -1 -1 0 -1 2 0
1 2 -1 1 1 -2 0 3 2
-2 0 -1 0 1 -1 -1 1 1 1 1 1 2 -2 0
-1 -3 0 -1 -1 4 2 -5 -2
1 -2 1 -1 -1 0 1 -1 -1 -1 -1 0 0 -1 2
1 2 2 -1 0 -5 -6 3 2
1 -1 1 -1 0 -1 1 -1 -1 0 0 0 0 -1 1
0 0 2 -1 -1 -2 -4 1 1
2 0 1 0 -1 0 1 -1 -1 0 -1 -1 -1 1 0
1 2 0 1 0 -3 -3 4 1
-3 -1 -1 -1 1 -1 -1 1 3 1 1 1 3 -3 0
-2 -4 2 -3 -2 4 3 -8 -3
0 -1 1 0 0 0 1 0 0 0 -1 0 0 0 1
1 0 1 -1 0 -2 -2 1 0
0 1 1 -1 0 -1 1 -2 -2 -1 1 0 -1 -1 1
0 2 0 1 1 -2 -4 4 1
-2 0 0 -1 0 0 1 -1 0 0 1 0 1 -2 2
1 0 0 0 1 -1 -2 1 -1
-1 0 0 -1 1 -1 0 -1 0 1 1 0 1 -2 0
-1 -2 1 -1 -1 1 -1 -2 -1
-2 -1 -1 -1 1 -1 0 1 2 1 1 1 2 -3 0
-1 -3 2 -2 -2 3 1 -6 -2
1 1 0 1 -1 1 0 0 -1 -1 -1 0 0 2 0
1 2 -3 2 1 0 0 4 1
-2 1 -1 0 1 0 -1 0 1 0 1 0 1 -1 0
-1 -2 -1 0 0 3 3 -3 -2
2 0 2 0 -1 0 2 -2 -2 0 -1 -1 -2 1 1
2 3 0 1 1 -5 -5 7 2
2 0 1 1 0 0 0 -1 -1 1 -1 -1 -2 2 -1
0 0 0 0 0 -2 0 2 1
1 1 0 1 -1 1 0 0 -1 -1 -1 0 -1 2 0
1 3 -2 2 1 -1 0 4 2
24
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 0
0 0 -1 1 0 1 0 1 0
0 0 1 0 0 -1 -1 -1 0 1 0 0 -1 0 -1
-1 -1 0 -1 0 1 1 0 0
-2 1 -1 0 0 0 0 0 0 0 1 1 1 -1 1
0 0 -2 1 1 2 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 0
0 0 1 0 -1 0 1 -1 -1 0 0 -1 -1 0 1
2 2 0 1 2 -3 -3 4 1
-1 -1 0 -1 0 1 1 -1 1 0 0 -1 1 -2 2
1 0 2 -1 0 -3 -3 0 -1
2 1 1 2 0 0 0 0 0 1 -1 -1 -2 3 -2
0 0 -2 2 0 1 3 2 0
1 0 0 1 -1 1 0 0 0 0 -1 -1 0 2 0
1 1 -2 1 1 -1 1 3 0
1 1 1 1 0 -1 0 0 0 1 0 -1 -1 1 -2
-1 -1 0 0 -1 2 3 -1 -1
0 1 -1 1 -1 0 -1 1 0 0 0 1 1 1 -1
0 0 -3 1 1 3 3 0 0
1 1 0 0 -1 0 0 0 -2 -1 0 1 0 1 0
0 2 -2 1 1 0 -1 3 2
-1 0 0 -1 0 0 0 -1 0 0 0 1 1 -1 1
0 0 0 -1 0 0 -1 0 0
-1 0 -1 1 0 0 -1 1 1 1 0 0 1 0 -1
-1 -2 0 -1 -1 3 4 -4 -1
3 1 0 2 0 0 -1 1 0 1 -1 -1 -2 3 -3
-1 -1 -1 1 -1 2 5 -1 0
-1 -1 -1 -2 1 -1 0 1 0 -1 1 2 2 -3 1
-1 -1 2 -1 -1 1 -3 -3 0
-1 -1 0 -1 1 -1 0 1 1 0 1 0 1 -2 0
-1 -2 3 -2 -2 1 0 -5 -1
0 0 0 0 -1 0 1 0 -2 -1 0 1 0 0 1
1 2 -1 1 1 -1 -2 3 2
1 0 1 0 -1 0 0 -1 -1 0 -1 0 -1 1 0
0 1 0 -1 0 -2 -1 2 1
0 0 1 1 0 0 0 -1 0 1 0 -1 -1 0 0
0 0 0 0 0 0 1 1 0
0 -1 0 0 0 0 1 0 0 0 0 -1 0 -1 1
1 0 2 0 0 -2 -2 0 0
1 0 0 -1 0 0 0 0 -1 -1 0 1 0 0 0
0 1 0 0 0 -1 -2 1 1
2 1 0 1 -1 1 1 0 -2 -1 -1 0 -1 3 0
2 3 -3 3 2 -2 -1 6 2
-1 -1 0 -1 0 0 0 -1 1 0 0 0 1 -2 1
0 0 1 -1 0 -1 -2 0 -1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe