The Lattice (SL2(5)SL2(5):2)(C3D8.2).2a
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 13:14:08 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).2a
-
DIMENSION
32
-
GRAM (floating point or integer Gram matrix)
32 0
8
1 8
3 2 8
4 1 3 8
4 2 4 4 8
4 3 3 4 4 8
2 4 2 3 2 1 8
4 3 3 4 4 4 3 8
2 4 3 2 3 2 4 2 8
3 2 2 3 2 3 2 3 2 8
3 1 4 3 2 3 1 3 3 4 8
3 0 4 3 4 3 0 3 0 0 2 8
3 0 2 3 2 3 0 3 0 0 4 4 8
0 0 1 1 3 0 0 2 0 0 -1 4 2 8
0 2 2 4 4 0 3 4 2 1 1 2 1 4 8
0 1 2 0 2 0 1 2 3 1 1 2 1 3 2 8
0 2 1 0 2 0 0 2 2 2 2 1 2 3 2 4 8
4 1 3 4 4 4 2 4 0 3 3 3 3 0 0 0 0 8
0 2 2 0 2 0 0 0 3 1 1 2 1 3 2 4 4 -2 8
0 0 2 2 0 0 0 1 0 0 1 2 4 4 2 3 3 0 3 8
1 4 4 1 2 3 1 3 2 1 2 2 1 1 2 1 2 1 2 2 8
0 1 3 2 0 0 0 1 1 2 3 1 2 2 2 3 3 0 3 4 3 8
3 4 2 1 2 1 4 2 4 2 1 0 0 0 2 2 2 0 1 0 2 1 8
0 2 1 1 3 0 1 2 2 1 2 2 1 4 4 3 3 0 3 2 1 0 2 8
4 0 3 4 4 4 0 4 1 3 3 3 3 0 0 0 2 4 0 0 0 0 0 0 8
0 4 3 1 3 0 4 2 4 2 3 0 0 0 4 3 3 0 3 0 3 2 4 4 0 8
2 1 1 2 3 2 1 2 4 1 2 2 1 2 2 3 2 0 3 1 1 0 1 4 1 2 8
1 2 4 3 2 2 1 1 2 1 2 2 1 2 3 0 0 0 1 1 4 3 1 1 0 2 1 8
0 2 1 0 2 2 -1 2 1 2 2 1 2 3 2 4 4 0 4 3 2 3 1 3 0 3 1 1 8
3 4 4 3 4 3 4 3 4 4 2 0 0 0 2 2 1 3 2 0 2 1 4 2 3 4 2 2 1 8
0 1 1 2 2 0 0 2 1 2 2 1 2 2 4 4 4 0 4 4 1 4 1 2 0 2 1 0 4 1 8
2 1 4 3 2 1 4 3 2 1 2 2 1 2 3 1 0 2 0 1 2 3 2 1 0 2 1 2 -1 2 0 8
-
DIVISORS (elementary divisors)
1^16 6^16
-
MINIMAL_NORM
8
-
KISSING_NUMBER
4320
-
GROUP_ORDER
2^10 * 3^3 * 5^2
-
GROUP_GENERATORS
4
32
-5 0 0 7 9 -5 -1 8 -1 2 2 3 1 -1 -10 -2 2 -7 -1 1 -1 0 0 -1 -8 -1 -1 -1 0 4 -2 -1
-2 0 -1 3 4 -2 0 3 -1 0 2 1 0 -1 -4 0 1 -3 0 0 0 0 0 0 -3 -1 -1 0 0 2 -1 0
-4 -1 -1 4 7 -2 -1 7 0 1 1 3 0 -2 -7 -2 2 -4 0 2 -2 1 0 0 -7 0 -2 0 -1 3 -2 -1
-4 -1 1 6 7 -3 0 7 -1 1 1 2 1 0 -9 -2 2 -6 -1 0 -1 1 0 0 -7 0 -1 -1 -1 3 -1 -2
-3 -1 -1 4 7 -2 -1 7 0 1 1 3 0 -2 -7 -2 2 -5 0 2 -2 1 0 0 -7 0 -2 0 -1 3 -2 -1
-5 0 0 8 8 -5 -1 8 -1 1 2 3 1 0 -11 -2 2 -7 -1 0 -1 0 0 -1 -8 0 -1 -1 0 4 -1 -1
-3 -1 0 3 6 -2 1 5 -1 1 1 2 0 -3 -5 -1 2 -4 0 1 -1 1 0 1 -5 -2 -1 0 0 2 -2 -1
-3 0 1 6 5 -3 0 5 -1 1 1 1 1 1 -8 -1 1 -5 -1 -1 0 0 0 0 -5 0 -1 -1 0 2 0 -1
-2 -2 -2 0 6 0 0 6 1 1 0 4 -1 -5 -3 -2 3 -3 0 3 -3 3 -1 1 -6 -1 -2 1 -1 3 -3 -1
-4 -1 1 7 9 -4 0 8 0 2 0 4 2 -3 -9 -2 4 -8 -2 0 -1 2 -2 1 -10 -2 -2 -2 0 5 -3 -2
-3 -2 -1 2 7 -2 0 7 2 2 -2 5 1 -5 -6 -3 3 -5 -2 2 -2 3 -2 2 -7 -1 -2 0 0 4 -2 -1
0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 -1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0
-1 0 0 1 1 -1 0 2 0 0 0 0 0 1 -3 -1 -1 -1 0 0 0 0 0 0 0 1 0 0 0 0 1 0
3 0 0 -3 -4 3 0 -3 0 -1 0 -2 -1 2 4 1 -2 3 1 0 0 0 0 0 3 2 0 0 -1 -2 1 0
0 -1 0 0 1 1 1 1 0 0 0 0 0 0 -1 0 0 -1 0 0 0 1 0 1 -1 0 -1 0 -1 0 0 -1
2 -1 -1 -3 -2 3 0 -1 1 0 -1 0 -1 -1 3 0 0 2 1 1 -1 1 -1 1 1 1 -1 1 -1 -1 0 0
1 -1 0 -1 0 1 0 0 1 0 -1 0 0 -1 1 0 0 0 0 0 0 1 -1 1 0 0 -1 0 0 0 0 0
-4 0 1 7 7 -4 -1 7 -1 1 1 2 1 0 -10 -2 2 -6 -1 0 -1 0 0 0 -7 0 -1 -1 0 3 -1 -1
2 -1 -2 -5 -1 3 0 -1 1 0 -1 1 -1 -3 5 0 0 2 1 2 -1 2 -1 1 1 0 -1 1 -1 0 -1 0
2 0 0 -3 -4 3 0 -3 0 -1 0 -2 -1 2 4 1 -2 3 1 0 0 0 0 0 4 2 0 0 -1 -2 1 0
-1 0 -1 1 2 -1 0 1 0 0 1 1 0 0 -2 0 0 -1 0 0 0 0 0 0 -1 0 -1 0 0 1 0 0
1 -1 0 -1 -1 1 0 0 1 0 -1 0 0 0 1 0 0 1 0 0 0 1 -1 1 0 1 -1 0 -1 0 0 -1
-2 0 -1 3 4 -2 0 3 -1 0 3 1 -1 0 -4 0 1 -3 0 1 0 -1 0 -1 -3 -1 -1 0 0 2 -1 0
2 -1 -2 -4 -1 3 0 -1 1 0 -1 1 -1 -2 3 0 0 1 0 2 -1 1 -1 1 1 1 -1 1 -1 0 0 1
-4 0 1 7 7 -4 -1 7 -1 1 1 2 1 0 -9 -2 2 -6 -1 0 -1 0 0 -1 -7 0 -1 -1 0 3 -1 -1
-1 -2 -2 -1 4 0 1 3 1 1 -1 3 0 -5 -1 -1 2 -2 0 2 -1 2 -1 2 -3 -2 -2 1 0 2 -2 0
0 -1 -1 -2 2 1 0 2 1 1 -1 2 0 -3 0 -1 1 -1 0 2 -2 2 -1 1 -2 0 -1 1 -1 1 -1 0
-2 -1 -1 2 4 -1 0 4 0 0 1 2 0 -1 -4 -1 1 -2 0 1 -1 1 0 0 -4 0 -1 0 -1 2 -1 -1
1 -1 -1 -1 -1 1 0 0 1 0 -1 1 0 -1 1 0 0 0 0 0 0 1 -1 1 0 0 -1 0 0 1 0 0
-5 0 -1 7 10 -4 -1 9 -2 1 3 3 0 -2 -10 -1 3 -7 0 2 -2 0 0 -1 -9 -1 -2 0 -1 4 -3 -1
1 -1 0 -1 -1 2 0 0 1 0 -1 0 0 0 1 0 0 0 0 0 0 1 -1 1 0 1 -1 0 -1 0 0 -1
-2 -1 0 2 4 -1 0 4 0 1 0 1 0 -1 -4 -1 1 -2 0 1 -1 1 0 1 -4 0 -1 0 -1 1 -1 -1
32
-1 0 0 2 3 -2 0 2 0 0 0 1 0 -1 -3 -1 1 -2 -1 0 0 0 0 0 -2 -1 0 0 1 1 0 0
0 0 -1 -1 1 -1 0 0 0 0 0 1 0 -2 1 0 0 0 0 1 0 0 0 0 0 -1 0 0 1 1 -1 1
-2 1 0 4 3 -3 -1 3 -1 0 1 0 0 1 -5 0 0 -2 0 0 0 -1 1 -1 -2 0 0 0 0 1 0 0
-3 0 0 4 5 -4 0 5 0 1 0 2 1 -1 -7 -2 1 -4 -1 0 0 0 0 0 -4 -1 0 0 1 2 0 0
-1 0 0 2 2 -2 0 2 0 0 0 2 0 -1 -3 -1 1 -2 -1 0 0 0 0 0 -2 -1 0 0 1 2 0 0
-1 0 0 2 2 -2 0 2 0 0 0 1 0 -1 -2 -1 1 -1 0 0 0 0 0 0 -2 -1 0 0 1 1 -1 0
-2 0 0 2 4 -3 0 3 0 1 0 2 1 -2 -3 -1 1 -3 -1 0 0 1 0 0 -3 -2 0 -1 1 2 -1 0
-2 0 0 3 4 -4 0 3 0 1 0 2 1 -2 -4 -1 1 -3 -1 0 0 0 0 0 -3 -2 0 0 2 2 -1 0
-2 1 1 3 2 -3 0 1 -1 0 1 0 1 1 -3 0 0 -2 -1 -1 1 -1 1 -1 -1 -1 1 -1 1 1 0 0
-3 1 1 6 4 -4 -1 4 -1 0 1 1 1 1 -7 -1 1 -4 -1 -1 0 -1 0 -1 -4 0 0 -1 1 2 0 0
-1 1 0 2 0 -2 0 0 -1 -1 1 -1 0 2 -2 0 -1 0 0 -1 1 -1 1 -1 1 0 1 0 1 0 1 0
0 0 -1 0 1 -1 0 1 0 0 0 1 -1 -1 -1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0
0 -1 -1 -2 0 0 1 0 1 0 -1 1 -1 -2 1 -1 0 1 0 1 0 1 0 1 1 -1 0 1 1 0 0 0
0 0 0 -1 0 0 0 1 0 0 0 1 -1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 1 0 0 0 0
-2 0 0 2 3 -3 0 3 0 1 0 2 1 -1 -4 -1 0 -3 -1 0 0 0 0 0 -2 -1 0 0 1 2 0 0
-3 0 0 3 4 -3 0 3 0 1 0 2 1 -2 -4 0 1 -3 -1 0 0 0 0 0 -3 -2 0 0 1 2 -1 0
-1 0 0 1 1 -1 0 1 0 0 0 1 0 0 -2 0 0 -1 -1 0 0 0 0 0 -1 0 0 0 1 1 0 0
-1 0 0 2 2 -2 0 2 0 0 0 1 0 -1 -3 -1 1 -1 0 0 0 0 0 0 -2 -1 0 0 1 1 0 0
-1 0 0 1 1 -1 0 1 0 0 0 1 0 0 -2 0 0 -1 -1 0 0 0 0 0 -1 0 0 0 0 1 0 0
-1 -1 0 -1 1 0 0 2 1 1 -2 1 0 -2 -1 -1 0 0 0 1 -1 1 0 1 -1 0 0 1 0 0 0 0
0 0 0 1 0 -1 -1 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 -1 0 -1 -1 1 0 0 0 1 0 0
-4 1 0 6 5 -4 -1 5 -2 0 3 0 0 2 -8 0 0 -4 0 0 0 -2 1 -2 -4 0 0 0 0 2 0 0
-1 0 1 2 2 -2 0 1 0 0 0 0 1 0 -2 0 0 -2 -1 -1 1 0 0 0 -1 -1 0 -1 1 1 0 0
3 0 0 -5 -6 2 1 -5 1 -1 -2 -1 0 0 6 1 -2 4 0 -1 1 0 0 1 6 0 1 1 1 -2 2 1
-1 0 0 3 2 -2 0 2 0 0 0 1 0 0 -4 -1 1 -2 -1 0 0 0 0 0 -2 0 0 0 1 1 0 0
-1 0 0 2 1 -2 0 1 0 0 0 1 1 0 -2 0 0 -2 -1 -1 1 0 0 0 -1 -1 0 -1 1 2 0 0
0 0 1 0 -1 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 -1 -2 1 0 0 1 1 -1 1 0 1 0 1 0
-1 1 0 2 2 -2 0 2 -1 0 1 0 0 1 -3 0 0 -2 0 0 0 -1 0 -1 -1 0 0 0 0 1 0 0
-1 0 0 1 1 -1 0 1 0 0 0 1 0 -1 -1 0 0 -1 0 0 0 0 0 0 -1 -1 0 0 1 1 -1 0
-2 0 1 4 3 -3 0 3 0 0 0 1 1 0 -5 -1 1 -3 -1 -1 0 0 0 0 -3 -1 0 -1 1 2 0 0
-3 0 0 3 4 -3 0 3 0 1 0 2 1 -1 -5 -1 0 -3 -1 0 0 0 0 0 -3 -1 0 0 1 2 0 0
-2 1 0 3 3 -3 -1 3 -1 0 2 0 0 1 -4 0 0 -2 0 0 0 -1 1 -1 -2 -1 0 0 0 1 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
-1 0 0 1 0 0 0 1 -1 -1 2 0 -1 1 -1 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0
1 1 -1 -2 -2 1 0 -2 -1 -1 1 -1 -1 0 3 1 -1 2 1 1 0 -1 1 -1 3 0 1 1 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 1 0 0 0 1 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 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 1 -1 0 -1 0 -1 -1 2 -1 -1 2 0 1 -1 1 1 0 0 -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 0 0 0
-2 1 0 3 3 -2 0 2 -2 0 2 0 0 0 -3 1 0 -2 1 0 0 -1 1 -1 -1 -1 0 0 0 0 -1 0
-1 0 1 3 2 -1 0 2 -1 0 1 0 1 0 -2 0 1 -2 0 -1 0 0 0 0 -3 -1 0 -1 0 1 -1 -1
-1 1 0 2 2 -1 0 1 -2 0 2 -1 0 0 -1 1 0 -1 1 0 0 -1 1 -1 -1 -1 0 0 0 0 -1 0
1 0 0 -1 -2 1 0 -1 1 0 -1 0 0 0 2 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0
3 0 -1 -5 -4 3 0 -4 1 0 -1 -1 -1 -1 7 1 -1 4 1 1 0 0 0 0 4 0 0 1 0 -2 0 1
3 -1 0 -4 -5 3 0 -3 2 0 -3 0 0 -1 6 0 0 3 0 0 0 1 -1 1 3 1 0 0 0 -1 0 0
0 0 0 0 -1 0 0 0 0 0 0 0 0 0 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 -1 1 1 1 0 0 0 0 0 0 0 0 -1 0 0 0 0 -1 0
2 0 0 -2 -3 2 0 -2 0 -1 0 -1 -1 0 4 1 0 2 1 0 0 0 0 0 2 0 0 0 0 -1 0 0
0 0 0 1 0 0 0 1 0 0 0 0 0 0 -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 -1 1 0 1 0 1 0 0 0 0 0 0 -1 0 0 0 0 -1 0
4 0 0 -6 -7 4 0 -6 1 -1 -2 -2 -1 0 9 1 -1 6 1 0 0 0 0 0 6 1 1 1 0 -3 1 1
1 0 -1 -3 -2 2 0 -1 0 -1 0 0 -1 -1 3 0 0 2 1 1 -1 0 0 0 2 0 0 1 0 0 0 1
2 0 -1 -3 -3 2 0 -3 0 -1 0 -1 -1 -1 5 1 0 3 1 1 0 -1 0 0 3 0 0 1 0 -1 0 1
1 1 0 0 -1 0 0 -1 -1 -1 2 0 -1 1 1 1 0 0 0 0 0 -1 0 -1 1 0 0 0 0 0 0 0
-1 0 1 3 1 -1 0 2 -1 0 1 0 0 1 -2 0 1 -2 0 -1 0 0 0 -1 -2 0 0 -1 0 1 -1 -1
0 0 0 1 1 0 0 1 0 0 0 0 0 0 -1 0 0 -1 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
-1 1 0 2 1 -1 0 1 -2 -1 3 -1 -1 1 -1 1 0 -1 1 0 0 -1 1 -1 0 -1 0 0 0 0 -1 0
-2 0 2 4 3 -2 0 3 -1 1 0 0 1 0 -4 0 1 -3 0 -1 0 0 0 0 -3 -1 0 -1 0 1 -1 -1
0 0 -1 -1 0 0 0 -1 0 0 0 1 0 -2 2 0 0 0 0 1 0 0 0 0 1 -1 0 0 1 1 -1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0
-1 0 0 2 2 -1 0 2 -1 0 1 1 0 -1 -2 0 1 -2 0 0 0 0 0 0 -2 -1 0 0 0 1 -1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0
2 0 -1 -3 -3 2 0 -2 0 -1 0 -1 -1 0 4 1 -1 3 1 1 0 0 0 0 3 1 0 1 -1 -1 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
-1 0 0 2 1 -1 -1 1 -1 0 1 0 0 1 -2 0 0 -1 0 0 0 -1 1 -1 -1 1 0 0 0 1 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
1 0 0 -1 -1 1 0 -2 0 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0
1 -1 0 -1 -2 1 0 -1 1 0 -1 0 0 0 2 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0
1 0 0 -1 -1 0 0 -1 0 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0
-2 0 0 3 3 -2 0 2 -1 0 2 0 0 1 -4 0 0 -2 0 0 0 -1 1 -1 -2 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 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 1 -1 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 -1 0 0 0 0 0 0 1 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 1 -1 0 -1 0 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 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
1 0 -1 -3 0 1 0 -1 0 0 0 1 -1 -2 3 0 0 1 0 2 -1 1 0 0 1 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 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 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 1 0 0 0 0 0 0
0 1 1 2 0 -2 1 -2 -1 0 1 -1 1 2 -1 1 -1 -1 -1 -2 2 -1 0 0 1 -1 1 -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 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 1 -1 -1 0 0 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 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
-1 -1 1 2 3 -1 0 3 1 1 -1 2 1 -2 -2 -1 2 -3 -1 0 -1 2 -1 1 -4 -1 -1 -1 0 2 -2 -1
-
PROPERTIES
INTEGRAL = 1
MODULAR = 6
-
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