The Lattice LAMBDA(RM)=BW32
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 13:17:48 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DET
MINIMAL_NORM
MINVECS
KISSING_NUMBER
DENSITY
HERMITE_NUMBER
GROUP_ORDER
GROUP_GENERATORS
BACHER_POLYNOMIALS
PROPERTIES
REFERENCES
NOTES
LAST_LINE
-
NAME
LAMBDA(RM)=BW32
-
DIMENSION
32
-
GRAM
32 0
4
-2 4
-2 0 4
-2 0 0 4
1 -2 0 0 4
1 1 -1 -1 1 4
-1 1 1 0 -2 0 4
-1 1 0 0 -2 0 0 4
0 1 0 0 -2 -1 0 0 4
-1 1 0 0 -2 0 0 2 0 4
-2 0 2 0 0 -1 0 0 0 1 4
-1 -1 1 1 1 0 -1 0 0 1 1 4
-1 -1 1 1 0 -2 -1 0 1 1 2 2 4
1 1 -1 -1 0 2 1 0 -1 -1 -2 -2 -2 4
-2 0 0 2 0 -1 1 0 -1 0 0 1 0 0 4
0 1 1 -1 1 2 -1 0 -1 0 0 0 -1 1 -1 4
1 1 0 -2 0 2 0 1 0 0 -1 -1 -2 1 -2 1 4
-1 -1 2 0 1 0 0 1 -1 0 1 2 1 -1 0 0 0 4
1 1 0 -2 -1 0 0 1 1 0 -1 -1 0 1 -2 0 2 0 4
1 1 -2 0 0 2 0 -1 0 0 -1 -1 -1 2 0 1 0 -2 0 4
-2 0 1 1 0 0 1 1 -1 1 1 1 1 0 2 0 -1 1 -1 0 4
-1 -1 0 2 0 -1 1 0 -1 0 1 1 1 -1 2 -1 -2 0 -2 0 1 4
-1 2 -1 0 -1 0 0 0 1 1 1 0 1 0 0 0 -1 -1 0 1 0 0 4
1 -1 0 0 2 0 0 -2 0 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 4
1 -2 1 0 1 0 1 -1 -1 -1 -1 1 0 0 0 0 0 1 0 -1 0 1 -2 1 4
1 -2 -1 0 1 -1 -1 -1 0 0 1 1 1 -2 0 -2 -1 0 -1 -1 -1 1 0 0 0 4
1 -1 0 0 2 1 -2 0 0 -1 0 1 1 0 -1 1 0 1 0 0 0 0 0 1 0 0 4
1 0 0 -2 1 0 0 -1 -1 -1 0 -1 0 1 -1 0 1 0 2 0 -1 -1 0 1 0 0 0 4
1 -2 1 0 2 0 0 -1 -1 -2 -1 1 0 0 0 0 0 2 0 -1 0 0 -2 2 2 0 1 1 4
-1 1 -1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 1 2 0 1 0 -1 -1 0 0 -1 4
-2 1 1 1 -2 -1 1 2 0 2 1 1 1 -1 1 0 -1 1 0 -1 1 1 1 -1 0 -1 -1 -1 -1 0 4
-1 -1 1 1 1 0 -1 1 -1 0 1 2 1 -1 1 1 -1 2 -1 -1 1 1 -1 -1 1 0 1 -1 1 0 1 4
-
DET
1
-
MINIMAL_NORM
4
-
MINVECS
-
KISSING_NUMBER
146880
-
DENSITY
-
HERMITE_NUMBER
4
-
GROUP_ORDER
2^31 * 3^5 * 5^2 * 7 * 17 * 31
-
GROUP_GENERATORS
4
32 32
1 2 2 -1 0 -1 0 0 -2 -1 -1 1 1 0 -1 -2 1 -1 -1 1 0 0 0 0 -1 0 0 -1 0 0 0 1
0 0 0 0 0 0 0 2 0 -1 0 0 0 -1 0 0 -1 0 -1 1 0 -1 0 0 1 0 0 1 0 0 0 -1
0 0 -1 0 1 0 1 1 0 0 1 1 0 0 0 0 -1 0 0 0 -1 -1 -1 1 0 -1 0 0 -1 0 0 0
0 -2 -1 2 -2 3 -2 -1 2 1 1 -2 -1 0 2 2 -1 2 2 -2 1 1 1 0 1 0 -1 1 0 -1 -1 -1
-3 -1 -1 -1 0 -1 1 0 -1 0 0 1 0 0 -1 0 0 -1 0 1 -1 -1 -1 0 0 0 1 -1 0 0 0 0
0 1 1 -1 -1 -1 1 0 -3 -1 -1 1 1 -1 -1 -1 0 -1 -1 1 -1 -1 -1 0 -1 0 1 -1 0 1 0 0
2 1 -1 1 -3 1 -1 0 -1 -1 2 0 1 0 2 1 0 1 0 -1 0 -1 0 1 1 0 0 0 0 0 -1 -1
-1 -1 1 -1 4 0 3 0 1 1 -3 -1 1 -1 -1 0 0 -1 0 0 -1 1 0 -1 -2 0 0 0 0 1 1 1
2 2 2 0 0 1 -2 2 0 -1 0 0 0 0 0 -2 -1 0 -1 1 1 0 0 1 1 0 -1 1 -1 -1 0 0
4 1 1 2 -1 -1 -1 -4 1 2 0 -2 -1 1 1 1 2 2 1 -2 1 2 1 -1 -1 1 0 0 1 2 1 1
1 -1 -2 2 -2 1 -2 -2 2 1 3 -1 -2 1 2 2 0 2 2 -2 1 1 0 0 1 0 0 1 0 0 0 -1
0 0 -1 0 4 -1 2 -1 2 3 0 -1 0 1 0 1 0 0 1 -1 -1 1 -1 -1 -1 0 0 -1 1 1 1 0
0 -1 -1 1 1 0 0 -1 2 2 1 -1 -1 1 1 1 0 1 2 -1 0 1 0 0 0 0 0 0 0 0 0 0
-1 0 1 -1 -2 -1 1 2 -3 -2 -1 2 1 -1 -1 -1 0 -1 -2 2 -1 -2 0 1 0 0 1 0 -1 0 -1 0
0 -2 -2 2 -1 1 -1 -2 3 2 1 -2 -1 1 2 3 1 2 1 -2 1 1 1 -1 1 1 0 1 1 0 0 -1
-1 0 0 -1 2 -1 2 2 -1 -1 -1 2 0 -1 -2 -1 -1 -1 -1 1 -1 -1 -1 0 -1 -1 0 0 -1 0 0 0
0 2 2 -2 2 -2 2 1 -2 -1 -2 1 1 -1 -2 -2 0 -2 -2 2 -1 -1 -1 0 -1 0 1 -1 0 1 1 1
-4 -1 -1 -3 5 -1 5 1 -1 1 -2 1 2 -1 -2 -1 -1 -3 0 1 -3 -1 -2 0 -2 -1 1 -2 0 1 1 1
0 2 2 -2 4 -3 4 3 -2 -1 -2 2 2 -1 -2 -2 0 -3 -2 3 -2 -2 -1 0 -1 0 1 -1 0 1 1 1
5 2 1 3 -5 0 -3 -1 -1 -1 2 0 -1 0 2 1 1 2 0 -1 2 0 1 0 1 1 0 1 0 0 -1 -1
0 -1 -1 1 -2 0 0 -2 0 1 0 -1 0 0 1 2 1 1 1 -1 0 0 0 0 0 1 1 0 0 1 0 0
1 -2 -3 3 -1 3 -2 -2 4 2 3 -3 -1 1 4 4 0 3 3 -4 1 2 1 -1 1 0 -1 1 1 -1 -1 -2
0 0 -1 1 -1 -1 -1 0 1 0 1 0 -1 1 0 1 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 -1
-2 1 0 -1 -1 -1 0 1 -2 -1 0 1 1 0 -1 -1 0 -1 -1 2 -1 -2 -1 1 1 1 1 -1 0 0 0 0
0 1 -1 -1 3 -1 3 1 -1 0 0 1 2 0 0 0 0 -1 0 0 -2 -1 -1 0 -1 -1 0 -2 0 0 0 0
0 0 -1 1 -2 0 -2 -2 1 1 2 -1 -1 2 1 1 1 1 1 -1 1 1 0 0 1 1 0 0 1 0 0 0
-4 -2 0 -2 2 1 1 1 0 0 -2 0 1 -1 -1 -1 -1 -1 0 1 -1 0 -1 0 -1 -1 0 0 -1 -1 0 0
0 0 0 0 0 -2 1 0 -1 0 1 1 0 0 0 0 1 -1 0 1 -1 -1 0 0 0 0 1 -1 1 1 0 0
-2 0 0 -2 4 0 3 2 -1 0 -1 1 2 -1 -1 -1 -1 -2 0 1 -2 -1 -1 0 -1 -1 0 -2 0 0 0 0
1 0 0 1 -2 -1 0 -1 -1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0
-1 -1 -1 0 3 0 2 -1 2 2 -1 -1 0 0 0 1 0 0 1 -1 -1 1 0 -1 -1 0 0 0 1 1 1 0
-4 -3 -1 -2 5 1 4 1 1 1 -2 0 1 -1 -1 0 -1 -2 1 0 -2 0 -1 -1 -2 -1 0 -1 0 0 1 0
32 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 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
-5 -1 1 -4 1 0 2 2 -3 -2 -3 2 2 -1 -3 -3 -1 -3 -2 3 -2 -2 -2 1 -1 0 1 -1 -1 0 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
6 2 0 4 -3 0 -2 -1 1 0 3 -1 -1 1 3 3 1 3 1 -2 2 1 1 0 1 1 -1 1 0 0 -1 -1
-1 -1 -1 0 3 0 1 0 2 2 0 -1 -1 0 0 0 0 0 1 -1 0 1 1 -1 0 -1 0 0 1 0 0 0
7 3 1 4 -1 -2 -1 -3 1 2 2 -1 -1 1 2 2 2 2 1 -2 1 1 1 -1 0 1 0 0 1 2 0 0
-2 -2 -2 0 1 2 -1 1 3 1 1 -1 -1 0 1 1 -1 1 1 -1 1 1 1 0 1 -1 -1 1 0 -2 -1 -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 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
-6 -2 0 -4 3 0 3 1 -1 0 -3 1 1 -1 -3 -2 -1 -3 -1 2 -2 -1 -1 0 -1 -1 1 -1 0 0 1 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 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
-1 1 -1 -1 2 -1 2 2 0 0 0 1 1 0 -1 0 -1 -1 -1 1 -1 -1 -1 0 0 0 0 0 0 0 0 0
1 2 1 -1 1 -1 2 3 -2 -2 -1 2 2 -1 -1 -1 -1 -1 -2 2 -1 -2 -2 1 0 0 0 0 -2 0 0 0
-1 -2 0 0 -1 1 0 -1 0 0 -1 0 0 0 0 1 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
-1 1 1 -2 4 -1 2 0 0 1 -2 0 1 0 -2 -2 0 -2 -1 1 -1 0 -1 -1 -1 0 1 -1 1 1 2 1
-2 0 0 -2 -1 1 0 3 -2 -3 0 1 2 -1 0 -1 -1 -1 -1 2 -1 -2 -1 1 1 0 0 0 -1 -1 0 -1
2 1 2 0 -1 0 0 1 -2 -2 -1 1 1 -1 0 -1 0 0 -1 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 0 0 0 0 0 0 0 1 0 0
-1 -1 -3 1 1 0 1 1 2 1 2 0 -1 0 1 2 -1 1 1 -1 0 0 0 0 1 -1 0 1 0 -1 -1 -1
-3 -2 0 -2 3 0 3 -1 -1 1 -2 0 1 -1 -1 -1 0 -2 1 0 -2 0 0 -1 -2 -1 1 -2 1 1 1 1
32 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 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
3 0 1 1 2 1 -1 -1 2 1 0 -1 -1 0 1 0 0 1 1 -2 1 2 1 -1 -1 -1 -1 0 0 0 0 0
0 0 0 0 1 0 0 0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-3 -2 0 -1 -1 0 1 0 -1 0 -1 0 0 -1 0 0 0 -1 0 1 -1 -1 0 0 0 0 1 0 0 0 0 0
-3 0 -1 -1 0 -1 1 2 -1 -1 0 1 1 0 -1 0 0 -1 -1 2 -1 -2 -1 1 1 1 0 0 0 0 0 0
-3 0 -1 -1 -2 -1 1 1 -2 -1 0 1 1 0 -1 0 0 -1 -1 2 -1 -2 -1 1 1 1 2 0 0 0 0 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 -1 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
-1 -1 0 0 1 0 0 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 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 0 -1 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 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
3 2 0 1 2 -1 0 0 2 1 1 0 -1 1 0 1 0 1 0 -1 1 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 1 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 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
3 2 0 1 0 -1 0 0 0 0 1 1 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0
-2 -1 0 -1 0 0 0 0 0 0 -1 0 0 -1 0 0 0 0 0 1 0 0 0 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 -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 -2 1 0 -1 2 -1 -1 0 0 -1 -1 0 -1 1 0 0 0 1 -1 0 1 1 0 -1 -1 0 0 0 0 0 0
0 -1 1 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 0 0 0
-1 -2 0 0 0 2 -1 -1 1 1 0 -2 0 0 1 0 0 0 1 -1 0 1 1 -1 0 0 0 0 1 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 0 0 0 0 0 0
3 0 1 1 1 1 -1 -1 2 1 0 -1 -1 0 1 0 0 1 1 -2 1 2 1 -1 -1 -1 -1 1 0 0 0 0
0 -1 1 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 0 0 0 0
-5 -1 -1 -3 3 -1 2 2 0 0 -2 1 0 -1 -2 -1 -1 -2 -1 2 -1 -1 -1 0 0 0 1 0 0 0 1 0
2 1 0 2 -3 -1 -1 -1 -1 0 2 0 0 1 1 1 1 1 0 0 0 -1 0 1 1 1 0 0 0 1 0 0
0 1 0 0 1 -2 1 1 0 0 0 1 0 1 -1 0 0 0 -1 1 0 -1 -1 1 0 1 0 0 -1 0 0 1
32 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 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 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
-1 -1 0 0 1 0 0 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 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 0 0 0 0 0 0 0 0 0 0 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
-2 -1 1 -1 1 1 0 1 0 0 -1 0 0 0 -1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 -1 1 -1 1 0 -1 0 0 1 0 0 0 1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0
-1 -1 -1 0 0 1 0 -1 1 1 0 -1 0 0 1 1 0 1 1 -1 0 1 0 0 0 0 0 0 0 0 0 0
3 1 -1 2 -1 -1 0 -1 0 0 2 0 0 1 1 1 1 1 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 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
1 0 0 1 -1 -1 0 -1 0 0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0
1 1 0 0 1 -1 0 1 0 0 1 0 0 0 0 -1 0 0 -1 1 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 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
-1 0 1 -1 1 0 1 2 -1 -1 -1 1 1 0 -1 -1 -1 -1 -1 1 -1 -1 -1 1 0 0 0 0 -1 0 0 0
-3 -2 -2 -1 2 1 1 -1 2 1 -1 -1 0 0 0 1 0 0 1 -1 0 1 0 -1 -1 0 0 0 1 0 1 0
2 0 1 2 -3 0 -2 -2 0 1 1 -1 -1 1 1 1 1 1 1 -1 1 1 1 0 0 1 0 0 1 1 0 0
1 0 0 1 0 1 -1 2 1 -1 1 0 0 0 1 1 -1 1 0 0 1 0 0 0 1 0 -1 1 -1 -1 -1 -1
-
BACHER_POLYNOMIALS
x^5544*1240 (73440x)
-
PROPERTIES
Unimodular=1
-
REFERENCES
H. Koch, B. B. Venkov,
\"Uber ganzzahlige unimodulare euklidische Gitter.
Journal f\"ur die reine und angewandte Mathematik 398 (1989), 144-168
H. Koch, B.B. Venkov, \"Uber gerade unimodulare
Gitter der Dimension 32, III
Mathem. Nachr. 152 (1991), 191-213
-
NOTES
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe