The Lattice (SL2(5)SL2(5)):2(C3D8.2).2b
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 13:14:09 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM (floating point or integer Gram matrix)
DIVISORS (elementary divisors)
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_GENERATORS
PROPERTIES
REFERENCES
NOTES
URL (links to other sites for this lattice)
LAST_LINE
-
NAME
(SL2(5)SL2(5)):2(C3D8.2).2b
-
DIMENSION
32
-
GRAM (floating point or integer Gram matrix)
32 0
16
3 16
8 6 16
6 4 3 16
3 8 3 4 16
8 3 8 3 -1 16
8 3 8 3 6 4 16
0 5 0 1 5 0 0 16
3 4 -1 4 8 -1 3 5 16
3 4 -1 4 4 3 -1 5 8 16
8 0 4 6 0 4 4 0 0 0 16
3 0 0 4 8 -1 3 0 8 0 0 16
8 -1 4 3 -1 8 4 0 3 6 4 0 16
5 0 5 0 0 5 5 4 0 0 1 0 5 16
8 -1 4 3 3 4 8 0 6 3 4 3 8 5 16
5 0 5 0 0 0 5 4 0 0 4 0 0 8 5 16
3 8 3 4 4 6 -1 5 4 8 0 4 3 0 -1 0 16
5 0 5 0 0 5 5 4 0 0 4 0 0 8 0 8 0 16
8 3 8 3 0 8 0 0 -1 0 4 3 0 5 4 5 3 5 16
0 0 0 1 5 0 0 8 5 0 0 5 0 0 0 3 0 4 0 16
0 0 0 1 0 0 0 4 5 5 0 5 0 3 0 4 5 4 0 4 16
2 5 2 4 0 4 4 0 0 0 4 0 0 1 0 -3 0 1 2 0 0 16
0 0 0 1 5 0 0 4 5 5 0 5 0 3 0 3 0 4 0 8 8 0 16
4 0 4 0 0 4 1 0 0 0 5 0 1 4 0 0 0 4 3 0 0 5 5 16
6 8 3 8 8 3 3 5 8 8 0 8 3 0 3 0 8 0 3 5 5 5 5 0 16
4 3 8 -1 3 8 8 0 3 3 2 0 8 5 8 0 3 0 0 0 0 4 0 4 4 16
4 0 1 0 0 1 1 5 0 0 5 0 1 8 1 4 0 4 4 0 0 5 0 8 0 1 16
4 0 4 0 0 1 4 0 0 0 5 0 0 4 1 4 0 4 1 0 5 5 0 4 0 4 8 16
0 5 0 4 5 0 0 4 5 5 0 5 0 6 0 3 5 3 0 0 8 0 8 0 5 0 0 0 16
2 0 0 4 0 4 0 0 0 5 4 0 2 1 4 0 0 0 4 0 0 8 0 0 5 4 5 5 0 16
2 0 4 4 5 0 2 0 0 0 4 5 0 1 4 1 0 -3 4 0 0 4 0 0 5 4 5 5 0 8 16
2 0 4 4 0 2 0 0 0 0 4 5 4 1 0 0 5 -3 2 0 0 4 0 5 5 4 5 0 0 4 8 16
-
DIVISORS (elementary divisors)
1^16 30^16
-
MINIMAL_NORM
16
-
KISSING_NUMBER
1440
-
GROUP_ORDER
2^10 * 3^3 * 5^2
-
GROUP_GENERATORS
4
32
-2 -3 -5 1 2 -3 5 1 3 -6 -2 -6 6 -4 -4 1 3 0 8 -1 0 -1 1 2 1 2 -1 1 2 1 1 -1
-1 -1 -2 0 1 -1 2 0 1 -2 0 -3 2 -1 -1 0 1 0 3 0 0 -1 0 1 1 0 -1 1 1 1 0 0
-1 -2 -3 1 1 -2 3 1 2 -4 -1 -4 3 -2 -2 0 2 0 5 -1 0 -1 1 1 1 1 -1 1 1 1 0 0
0 0 0 0 0 1 0 0 0 0 0 0 -1 0 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
-2 -2 -3 0 2 -1 3 0 1 -3 -1 -5 3 -2 -1 0 1 0 5 0 0 -1 0 1 2 0 -1 2 2 0 0 1
-1 -1 -2 1 0 -2 3 0 2 -3 -1 -3 3 -2 -2 0 2 0 4 0 0 -1 1 1 0 1 0 0 1 1 1 -1
-2 -2 -5 1 2 -3 4 1 2 -5 -2 -6 5 -4 -2 0 2 1 8 -1 0 -1 1 1 1 2 -1 2 2 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 1 0 0 0 0
-1 -1 -1 0 1 0 1 0 0 -1 0 -2 1 -1 0 0 0 0 2 0 0 0 0 0 1 0 0 1 1 -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 1 -1
0 -1 0 0 1 0 0 0 1 -1 0 -1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-2 -2 -2 0 1 -1 3 0 1 -3 -1 -4 3 -2 -1 0 1 0 4 0 0 -1 0 1 2 0 0 1 2 0 0 0
0 0 0 0 -1 0 0 0 1 -1 0 0 0 0 0 0 1 0 0 0 -1 0 1 0 0 0 0 0 0 0 1 -1
-1 1 1 -1 -2 1 1 0 0 1 1 1 -1 1 1 -1 0 -1 -1 1 -1 -1 0 0 1 -2 0 1 0 0 0 0
-1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 1 -1 0 1 0 -1 0 0
-1 -1 0 0 1 0 0 1 0 -1 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 1 0 0 1 0 0 -1 0
-1 -1 -1 0 0 -1 2 0 1 -2 0 -2 2 -1 -1 0 1 0 2 0 0 -1 0 1 1 0 0 0 1 1 1 -1
-1 -2 -4 1 2 -3 4 1 2 -5 -2 -5 5 -4 -3 0 2 0 7 -1 1 -1 1 1 0 2 0 1 2 1 0 0
-1 -1 0 0 0 0 2 0 1 -1 0 -1 1 0 -1 0 1 -1 1 0 0 -1 0 1 1 -1 0 0 0 1 0 -1
-1 -2 -1 0 1 -1 2 0 1 -2 -1 -3 2 -2 -1 0 1 0 3 0 0 0 0 1 1 0 0 1 2 0 0 0
-1 -1 0 0 0 -1 1 0 0 -1 0 -1 1 -1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 0 -1
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
-1 -2 -1 0 1 -1 2 0 1 -2 -1 -3 2 -2 -1 0 1 0 3 0 0 0 0 0 1 0 0 1 2 0 0 0
0 -1 0 0 0 0 1 0 1 0 0 -1 0 0 -1 0 0 -1 1 1 0 0 -1 0 0 0 0 0 1 0 0 0
-2 -2 -3 0 1 -2 4 0 2 -4 -1 -5 4 -2 -2 0 2 0 5 0 0 -1 0 2 2 0 -1 1 2 1 1 -1
-1 0 -1 0 -1 -1 2 0 1 -1 0 -2 1 0 0 -1 1 0 2 1 -1 -1 0 1 1 -1 -1 1 1 0 1 0
0 1 2 -1 -1 2 -1 0 0 2 1 2 -2 2 1 0 -1 -1 -3 1 0 0 -1 0 0 -2 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 0 0 0 0 0 0 0 0 0
-1 0 -1 0 0 0 1 0 0 -1 0 -1 1 -1 0 0 0 0 1 0 0 -1 0 0 1 0 0 1 1 0 0 0
0 1 1 0 0 1 -1 0 0 1 0 1 -1 1 1 0 -1 0 -2 0 0 0 0 0 0 -1 0 0 -1 0 0 0
0 0 1 0 0 1 -1 0 0 0 0 0 -1 1 1 0 0 0 -2 0 0 0 0 0 1 -1 0 0 -1 0 0 0
0 -1 0 0 0 0 0 0 1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
32
1 1 0 0 0 0 -1 0 0 0 0 1 0 1 0 0 0 0 -1 0 0 0 0 0 -1 0 -1 0 -1 1 0 0
-1 0 -2 0 1 0 1 0 0 0 0 -1 1 0 0 0 0 0 2 0 0 0 0 0 0 0 -1 1 0 -1 0 1
1 2 1 0 -1 1 -2 0 -1 2 1 3 -2 2 1 0 -1 0 -3 0 0 0 0 -1 -1 0 0 -1 -2 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
1 1 1 0 0 2 -2 0 -1 2 0 2 -2 1 2 0 -1 0 -3 0 0 1 0 -1 -1 -1 0 0 -1 -1 0 1
0 1 1 0 0 1 -2 0 -1 1 1 2 -1 1 1 0 -1 0 -2 0 0 0 0 -1 0 0 0 0 -1 0 -1 0
0 0 -2 0 0 -1 2 0 1 -2 -1 -2 2 -1 -1 0 1 0 2 0 0 -1 0 1 0 0 -1 0 1 1 1 0
0 0 0 0 1 1 -1 0 -1 1 0 1 0 0 0 1 -1 0 -1 0 0 1 -1 0 0 0 0 0 0 -1 0 0
-1 -1 -2 0 1 -1 2 0 1 -2 -1 -3 3 -1 -1 0 1 0 3 0 0 0 0 1 1 -1 -1 1 1 0 1 0
0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 1 0 -1 0 0 0 1 0 -1 -1 1
0 1 2 -1 -1 1 -1 0 0 1 1 2 -1 2 1 0 0 0 -3 0 -1 0 0 0 0 -2 -1 0 -1 1 0 0
1 1 2 0 -1 1 -2 0 0 1 0 2 -1 1 1 0 0 0 -3 0 0 1 0 0 -1 -1 0 -1 -1 0 1 -1
0 0 0 0 0 -1 0 0 0 -1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1
0 -1 -2 1 1 -2 1 0 0 -2 -1 -2 2 -2 -1 0 1 1 3 0 0 0 0 0 0 2 0 0 1 0 0 0
0 -1 -1 0 1 -1 1 0 1 -2 -1 -2 2 -1 -1 0 1 0 2 0 0 0 0 0 0 0 0 0 1 1 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 0 0 0
0 1 1 0 0 1 -2 0 -1 2 1 2 -1 1 1 0 -1 0 -2 0 0 1 0 -1 -1 0 0 0 -1 -1 0 0
0 0 -2 1 1 -1 0 0 0 -2 -1 -1 2 -2 -1 1 0 1 2 -1 0 0 1 0 0 2 0 0 0 0 0 0
1 1 2 0 0 1 -3 0 -1 2 1 3 -2 2 1 0 -1 0 -3 0 0 1 0 -1 -1 0 0 -1 -2 0 -1 0
1 2 5 -1 -2 4 -4 -1 -2 5 2 6 -5 4 3 0 -2 -1 -8 1 -1 1 -1 -1 0 -3 1 -1 -2 -1 0 -1
0 2 2 -1 -2 1 -1 -1 -1 3 1 2 -2 2 2 -1 -1 0 -3 2 -1 0 -1 0 0 -2 0 0 0 -1 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 0 0 -1 0 0 0 0 0
1 3 5 -1 -2 4 -5 -1 -3 6 2 6 -6 4 5 -1 -3 0 -8 1 -1 1 -1 -2 0 -3 1 0 -2 -2 -1 1
1 1 2 0 0 2 -4 0 -1 2 1 3 -3 2 2 0 -2 1 -4 -1 0 1 0 -2 0 0 0 0 -2 -1 -1 1
1 1 1 0 0 1 -2 0 -1 2 0 2 -1 1 1 0 -1 0 -2 0 0 1 0 -1 -1 0 0 0 -1 -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 -1 -1 1 1 -1 -1 1 0 -1 -1 0 1 -1 -1 1 0 1 1 -1 0 1 0 0 -1 2 -1 0 0 0 0 0
1 1 0 0 -2 0 0 0 0 1 0 1 -1 1 0 0 0 0 -1 1 -1 0 0 0 -1 0 -1 0 0 0 1 0
-1 0 -2 1 1 -1 1 0 0 -1 -1 -2 2 -2 0 0 0 1 3 0 0 0 0 0 0 1 0 1 1 -1 0 1
1 -1 0 1 1 -1 -1 1 0 -1 -1 0 1 -1 -1 1 0 0 1 -1 0 1 1 -1 -1 2 0 0 0 0 -1 0
2 1 2 0 -1 1 -2 1 -1 2 0 3 -2 1 1 0 -1 0 -3 0 0 1 0 -1 -2 0 0 -1 -1 0 0 0
1 1 3 0 -1 1 -3 1 -1 2 1 4 -2 2 1 0 -1 0 -4 -1 0 1 0 -1 -1 0 0 -1 -2 0 0 -1
32
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
-1 -2 -3 1 1 -2 3 1 2 -4 -1 -4 3 -2 -2 0 2 0 5 -1 0 -1 1 1 1 1 -1 1 1 1 0 0
1 0 0 0 0 1 -1 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
-1 -2 -4 2 3 -2 2 1 1 -4 -2 -4 4 -4 -2 1 1 1 6 -2 1 0 1 0 0 3 0 1 1 0 -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 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 -4 2 1 -2 2 1 1 -3 -2 -3 3 -3 -2 0 0 1 5 -1 1 -1 1 0 -1 3 0 1 1 0 0 1
-1 -1 -2 1 1 -2 3 0 1 -2 -1 -3 3 -2 -2 0 1 0 4 0 1 -1 0 1 0 1 0 0 1 1 0 0
-1 0 -1 0 0 -1 2 0 0 0 0 -2 1 0 0 -1 0 0 2 1 0 -1 -1 1 1 -1 -1 1 1 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 0 0 0 0 0
1 0 1 1 1 1 -2 0 -1 1 0 2 -1 0 0 1 -1 0 -2 -1 1 1 0 -1 -1 1 1 -1 -1 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 -2 1 1 -1 0 1 0 -2 -1 -1 2 -2 -1 0 0 1 2 -1 1 0 1 0 -1 2 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
1 1 0 0 -1 0 0 0 -1 1 0 1 -1 1 1 -1 0 0 -1 1 0 0 0 0 -1 0 0 0 0 0 0 0
1 1 2 0 -1 1 -2 0 -1 2 1 2 -3 2 2 -1 -1 0 -3 0 0 0 0 -1 0 -1 0 0 -1 0 -1 1
1 0 -2 1 1 -1 0 0 0 -1 -1 -1 1 -1 -1 0 0 1 2 0 1 0 0 0 -1 2 0 0 0 0 0 0
1 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 -3 2 2 -2 1 0 1 -3 -2 -3 3 -3 -2 1 1 1 4 -1 1 0 1 0 -1 3 1 0 1 0 0 0
1 1 0 1 0 0 -1 0 -1 1 0 1 -1 1 0 0 -1 0 -1 0 1 0 0 0 -1 1 0 -1 -1 0 0 0
-1 -1 -2 0 0 -1 3 0 2 -3 -1 -3 3 -1 -2 0 2 0 3 0 0 -1 0 2 1 -1 -1 0 1 1 2 -1
0 -1 -3 2 2 -2 1 1 0 -2 -2 -2 3 -3 -2 1 0 1 4 -1 1 0 0 1 -1 3 0 0 1 0 0 0
1 -1 -2 1 1 -2 1 1 1 -3 -2 -2 3 -3 -2 1 1 1 3 -1 1 0 0 1 -1 2 0 -1 1 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 0 0 0 0 0
0 0 1 0 0 1 -1 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 -1 0 0 0 0 0 0
1 -1 -3 1 1 -2 2 1 1 -3 -2 -3 3 -3 -2 0 1 1 4 -1 1 0 1 0 -1 2 0 0 1 0 1 0
0 -1 -2 0 1 -1 2 0 1 -2 -1 -3 2 -1 -1 0 1 0 3 0 1 0 0 1 0 0 -1 0 1 0 1 0
0 0 0 1 1 0 -1 1 -1 0 0 1 0 0 0 0 -1 0 0 -1 1 0 0 0 0 1 0 0 -1 0 -1 0
-1 -1 -2 0 1 -1 2 0 1 -2 -1 -3 3 -1 -1 0 1 0 3 0 0 0 0 1 1 -1 -1 1 1 0 1 0
1 1 1 0 0 2 -2 0 -1 2 0 2 -2 1 2 0 -1 0 -3 0 0 1 0 -1 -1 -1 0 0 -1 -1 0 1
2 1 3 0 -1 2 -3 0 -1 2 0 3 -3 1 2 0 -1 0 -5 0 0 1 0 -1 -1 -1 1 -1 -1 0 0 0
32
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 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 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 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 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 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 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 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 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 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 1 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 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 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 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 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 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 1 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 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -2 1 1 -1 0 1 0 -2 -1 -1 2 -2 -1 1 0 1 2 -1 1 0 0 0 0 2 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 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 -2 1 1 -1 0 1 0 -2 -1 -1 2 -2 -1 1 0 1 2 -2 1 0 1 0 0 2 0 0 0 0 0 0
0 1 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 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 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 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 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 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 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 0 0 0 0 0 0 0 0 0 0
0 0 0 0 -1 -1 1 0 1 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 1 0 0 0 -1 0 1 1 -1
-
PROPERTIES
INTEGRAL = 1
MODULAR = 30
-
REFERENCES
G. Nebe, Finite quaternionic matrix groups,
Representation Theory 2, 106-223 (April 1998)
-
NOTES
strongly modular lattice
-
URL (links to other sites for this lattice)
All the quaternionic matrix groups
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe