The Lattice R28
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 13:26:43 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DIVISORS
GRAM
MINIMAL_NORM
KISSING_NUMBER
HERMITIAN_GROUP_ORDER
HERMITIAN_GROUP_GENERATORS
HERMITIAN_STRUCTURE
PROPERTIES
REFERENCES
NOTES
LAST_LINE
-
NAME
R28
-
DIMENSION
28
-
DIVISORS
2^14
-
GRAM
28 0
6
0 6
0 0 6
-3 3 3 6
2 -2 0 -2 4
2 2 0 0 0 4
0 0 2 2 0 0 4
0 2 0 2 -2 2 2 4
0 0 0 0 -2 0 0 1 4
0 0 0 0 0 -2 0 -1 0 4
0 0 0 0 0 0 -2 -1 0 0 4
0 0 0 0 1 -1 -1 -2 -2 2 2 4
0 0 0 0 0 0 0 0 -2 0 0 1 4
0 0 0 0 0 0 0 0 0 -2 0 -1 0 4
0 0 0 0 0 0 0 0 0 0 -2 -1 0 0 4
0 0 0 0 0 0 0 0 1 -1 -1 -2 -2 2 2 4
0 0 0 0 0 0 0 0 0 0 0 0 -2 0 0 1 4
0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 -1 0 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -1 0 0 4
0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 -2 -2 2 2 4
0 0 0 0 0 0 0 0 0 0 0 0 -2 0 0 1 0 0 0 0 4
0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 -1 0 0 0 0 0 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 -1 0 0 0 0 0 0 4
0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 -2 0 0 0 0 -2 2 2 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 0 1 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 -1 0 4
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 0 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 -2 -2 2 2 4
-
MINIMAL_NORM
4
-
KISSING_NUMBER
1512
-
HERMITIAN_GROUP_ORDER
2^12 * 3^5 * 5 * 7
-
HERMITIAN_GROUP_GENERATORS
2
28 28
-1 0 0 -1 0 1 1 0 0 1 1 0 0 2 2 0 0 1 1 0 0 1 1 0 0 1 1 0
0 0 1 -1 0 -1 -1 2 0 -1 -1 2 0 -2 -2 4 0 -1 -1 2 0 -1 -1 2 0 -1 -1 2
1 -1 -1 1 -2 1 1 -2 -2 1 1 -2 -4 2 2 -4 -2 1 1 -2 -2 1 1 -2 -2 1 1 -2
1 0 0 0 -1 -1 0 0 -1 -1 0 0 -2 -2 0 0 -1 -1 0 0 -1 -1 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 -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 -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 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 -1 0 0 0 0
0 0 0 0 0 -1 -1 1 0 -1 -1 1 0 -1 -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 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 0 -1 1 1 0 -1 1 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0 -1 0 1 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 1 -1 0 1 1 -1 0 2 2 -2 0 1 1 -1 0 1 1 -1 0 0 0 0
0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 2 0 0 0 1 0 0 0 1 0 0 0 0
0 0 0 0 -1 0 1 -1 -1 0 1 -1 -2 0 2 -2 -1 0 1 -1 -1 0 1 -1 0 0 0 0
0 0 0 0 0 -1 0 1 0 -1 0 1 0 -2 0 2 0 -1 0 1 0 -1 0 1 0 0 0 0
0 0 0 0 0 0 0 0 0 -1 -1 1 0 -2 -2 2 0 -1 -1 1 0 -1 -1 1 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 -2 0 0 0 -1 0 0 0 -1 0 0 0 0
0 0 0 0 0 0 0 0 1 0 -1 1 2 0 -2 2 1 0 -1 1 1 0 -1 1 0 0 0 0
0 0 0 0 0 0 0 0 0 1 0 -1 0 2 0 -2 0 1 0 -1 0 1 0 -1 0 0 0 0
-1 0 -1 0 0 2 2 -2 0 3 3 -3 0 3 3 -3 0 1 1 -1 0 2 2 -2 0 1 1 -1
-1 0 1 -2 0 0 0 2 0 0 0 3 0 0 0 3 0 0 0 1 0 0 0 2 0 0 0 1
1 0 -1 0 -2 0 2 -2 -3 0 3 -3 -3 0 3 -3 -1 0 1 -1 -2 0 2 -2 -1 0 1 -1
0 1 1 -2 0 -2 0 2 0 -3 0 3 0 -3 0 3 0 -1 0 1 0 -2 0 2 0 -1 0 1
1 0 1 0 0 -2 -2 2 0 -2 -2 2 0 -2 -2 2 0 -1 -1 1 0 -1 -1 1 0 0 0 0
1 0 -1 2 0 0 0 -2 0 0 0 -2 0 0 0 -2 0 0 0 -1 0 0 0 -1 0 0 0 0
-1 0 1 0 2 0 -2 2 2 0 -2 2 2 0 -2 2 1 0 -1 1 1 0 -1 1 0 0 0 0
0 -1 -1 2 0 2 0 -2 0 2 0 -2 0 2 0 -2 0 1 0 -1 0 1 0 -1 0 0 0 0
28 28
0 0 -1 1 0 1 1 -2 0 2 2 -4 0 2 2 -4 0 1 1 -2 0 2 2 -4 0 1 1 -2
-1 0 0 -1 0 1 1 0 0 2 2 0 0 2 2 0 0 1 1 0 0 2 2 0 0 1 1 0
0 1 0 -1 0 -1 1 0 0 -2 2 0 0 -2 2 0 0 -1 1 0 0 -2 2 0 0 -1 1 0
-1 1 1 -2 1 -1 0 2 2 -2 0 4 2 -2 0 4 1 -1 0 2 2 -2 0 4 1 -1 0 2
0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 -1 0 0 0 -1 0 0 0 -1 0 0 0 -1
0 0 0 0 0 0 0 0 0 1 1 -1 0 1 1 -1 0 1 1 -1 0 1 1 -1 0 1 1 -1
0 0 0 0 0 0 0 0 1 -1 0 1 1 -1 0 1 1 -1 0 1 1 -1 0 1 1 -1 0 1
0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1
0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 2 0 0 0 1 0 0 0 1 0 0 0 1
0 0 0 0 0 -1 -1 1 0 -2 -2 2 0 -2 -2 2 0 -1 -1 1 0 -1 -1 1 0 -1 -1 1
0 0 0 0 -1 1 0 -1 -2 2 0 -2 -2 2 0 -2 -1 1 0 -1 -1 1 0 -1 -1 1 0 -1
0 0 0 0 -1 0 0 -1 -2 0 0 -2 -2 0 0 -2 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1
1 0 -1 2 0 0 0 -3 0 0 0 -4 0 0 0 -5 0 0 0 -2 0 0 0 -3 0 0 0 -2
-1 0 -1 0 0 3 3 -3 0 4 4 -4 0 5 5 -5 0 2 2 -2 0 3 3 -3 0 2 2 -2
-1 2 1 -2 3 -3 0 3 4 -4 0 4 5 -5 0 5 2 -2 0 2 3 -3 0 3 2 -2 0 2
-2 1 1 -2 3 0 0 3 4 0 0 4 5 0 0 5 2 0 0 2 3 0 0 3 2 0 0 2
-1 0 1 -2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 1 0 0 0 1 0 0 0 1
1 0 1 0 0 -2 -2 2 0 -2 -2 2 0 -2 -2 2 0 -1 -1 1 0 -1 -1 1 0 -1 -1 1
1 -2 -1 2 -2 2 0 -2 -2 2 0 -2 -2 2 0 -2 -1 1 0 -1 -1 1 0 -1 -1 1 0 -1
2 -1 -1 2 -2 0 0 -2 -2 0 0 -2 -2 0 0 -2 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1
-1 0 1 -2 0 0 0 3 0 0 0 4 0 0 0 6 0 0 0 3 0 0 0 4 0 0 0 2
1 0 1 0 0 -3 -3 3 0 -4 -4 4 0 -6 -6 6 0 -3 -3 3 0 -4 -4 4 0 -2 -2 2
1 -2 -1 2 -3 3 0 -3 -4 4 0 -4 -6 6 0 -6 -3 3 0 -3 -4 4 0 -4 -2 2 0 -2
2 -1 -1 2 -3 0 0 -3 -4 0 0 -4 -6 0 0 -6 -3 0 0 -3 -4 0 0 -4 -2 0 0 -2
1 0 -1 2 0 0 0 -3 0 0 0 -4 0 0 0 -5 0 0 0 -3 0 0 0 -3 0 0 0 -1
-1 0 -1 0 0 3 3 -3 0 4 4 -4 0 5 5 -5 0 3 3 -3 0 3 3 -3 0 1 1 -1
-1 2 1 -2 3 -3 0 3 4 -4 0 4 5 -5 0 5 3 -3 0 3 3 -3 0 3 1 -1 0 1
-2 1 1 -2 3 0 0 3 4 0 0 4 5 0 0 5 3 0 0 3 3 0 0 3 1 0 0 1
-
HERMITIAN_STRUCTURE
4
28 28
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 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 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 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 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 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 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 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 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 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 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 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 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 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
28 % 5
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
-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 -1 -1 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 -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 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 -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 -1 -1 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 -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 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 -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 -1 -1 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 -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 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 -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 -1 -1 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 -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 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 -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 -1 -1 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 -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 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 -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 -1 -1 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 -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 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 -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 -1 -1 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 -1 -1 1
28 % 6
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 1 1 -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
-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 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 0 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 1 -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 -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 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 0 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 1 -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 -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 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 0 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 1 -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 -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 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 0 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 1 -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 -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 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 0 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 1 -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 -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 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 0
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 1 -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 -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 1 0 -1
28 % lo 1/2*8
-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
-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 -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 -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 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 -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 -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 -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 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 -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 -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 -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 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 -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 -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 -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 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 -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 -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 -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 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 -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 -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 -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 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 -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 -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 -1 0
-
PROPERTIES
Modular=1
-
REFERENCES
C. Bachoc, Voisinage au sens de Kneser pour les r\'eseaux quaternioniens.
Comment. Math. Helvetici 70 (1995), 350-374.
Bachoc, Nebe: Classification of two genera of 32-dimensional lattices
over the Hurwitz order
-
NOTES
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe