The Lattice L7(P)
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 13:11:13 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
L7(P)
-
DIMENSION
28
-
DIVISORS
2^2
-
GRAM
28 0
4
0 4
0 0 4
-2 2 2 4
-1 -1 0 0 4
1 -1 0 -1 0 4
0 0 -1 -1 0 0 4
1 0 0 -1 -2 2 2 4
-1 0 0 1 0 1 1 2 4
0 -1 1 0 -1 0 2 1 0 4
0 -1 -1 -1 -1 -2 0 0 0 0 4
0 -1 0 -1 -2 -1 0 0 -2 2 2 4
-2 0 -1 0 0 -2 2 0 0 1 1 1 4
0 -2 -1 -1 2 0 0 -2 -1 0 0 0 0 4
1 1 -2 -1 -2 0 0 0 -1 0 0 1 0 0 4
2 -1 -1 -2 0 2 0 0 -1 0 -1 0 -2 2 2 4
1 0 -1 -1 1 0 -1 -2 -2 -1 0 0 -1 2 1 2 4
0 1 0 1 0 1 -2 0 1 -2 -1 -2 -2 -1 0 0 0 4
1 0 1 0 1 2 1 1 0 1 -2 -1 -1 0 -1 1 0 0 4
0 0 1 1 1 1 0 1 2 0 -1 -2 -1 -1 -2 -1 -2 2 2 4
-2 0 0 1 2 -2 0 -2 0 -1 0 -1 1 1 -1 -1 0 0 -1 0 4
0 -2 0 -1 2 2 0 0 1 0 -1 -1 -1 1 -1 1 0 0 1 1 0 4
0 0 -2 -1 0 0 2 0 0 1 0 0 1 1 1 1 1 -1 0 -1 0 0 4
1 -1 -1 -2 0 2 2 2 1 1 0 0 0 0 0 1 0 -1 1 0 -2 2 2 4
-1 -1 0 0 0 1 -1 0 0 0 0 1 0 0 0 0 -1 0 0 0 -1 1 -1 0 4
1 -1 0 -1 -1 0 0 1 0 0 2 1 0 0 0 0 0 -1 -1 -1 -1 -1 -1 0 0 4
0 0 -1 -1 1 0 0 0 0 -2 0 -1 0 0 0 0 0 1 -1 0 1 1 -1 0 0 0 4
1 0 0 -1 0 -1 0 0 -1 -1 1 0 0 0 0 0 1 0 -1 -1 1 -1 -1 -1 -2 2 2 4
-
MINIMAL_NORM
2
-
KISSING_NUMBER
24
-
HERMITIAN_GROUP_ORDER
2^16 * 3^2 * 5
-
HERMITIAN_GROUP_GENERATORS
5
28 28
-1 0 0 0 0 -1 0 2 -1 0 0 -1 0 0 0 0 1 -1 -1 1 -1 1 0 -1 0 0 0 0
0 -1 0 0 -1 0 2 -2 1 -1 -1 1 0 0 0 0 1 0 0 1 0 -1 -1 1 0 0 0 0
0 0 -1 0 -1 -1 -1 0 0 1 0 -1 0 0 0 0 0 0 1 -1 1 0 -1 1 0 0 0 0
0 0 0 -1 -2 1 1 -3 1 0 0 0 0 0 0 0 0 0 1 0 1 -1 -1 1 0 0 0 0
0 0 1 -1 1 -1 0 1 1 -1 0 1 -1 1 1 -2 -1 1 2 -2 -1 1 2 -2 0 0 0 0
0 1 0 -1 0 1 1 -1 0 1 1 -1 0 0 -1 0 -1 1 0 -2 -1 1 0 -2 0 0 0 0
-1 1 1 -1 -1 0 1 -1 -1 0 1 -1 0 1 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0
0 1 0 0 -1 1 1 -1 -1 1 1 -1 1 0 -1 1 0 1 -1 0 0 1 -1 0 0 0 0 0
0 1 1 -1 -2 2 2 -2 0 0 1 0 0 1 0 -1 0 1 0 0 0 1 0 -1 0 0 0 0
-1 1 0 -1 -2 0 0 -2 -1 1 1 -2 0 0 -1 1 -1 0 0 0 0 0 -1 1 0 0 0 0
0 0 0 1 0 0 -2 2 -1 0 0 0 1 0 0 1 1 -1 -1 2 1 0 0 1 0 0 0 0
0 0 -1 1 0 0 -2 0 -1 1 0 -1 1 -1 -1 2 0 -1 -1 1 1 -1 -1 2 0 0 0 0
1 0 0 1 1 0 -1 0 0 0 0 1 1 0 0 1 -1 1 0 0 1 -1 0 2 0 0 0 0
-1 1 1 -1 1 0 -1 2 -1 0 1 -1 -1 1 1 -1 -1 -1 0 0 -1 1 2 -2 0 0 0 0
0 -1 0 1 1 0 1 0 0 -1 -1 1 0 -1 0 1 1 -1 -2 2 -1 -1 0 0 0 0 0 0
-1 0 0 0 1 -1 0 2 -1 0 0 -1 -1 0 0 0 0 -1 -1 0 -2 1 1 -2 0 0 0 0
-1 0 1 -1 1 -1 -1 2 0 0 0 -1 -1 1 1 -1 0 -1 0 0 -1 0 1 -1 0 0 0 0
0 0 0 -1 0 0 1 0 1 0 -1 1 -1 0 0 -1 1 0 0 0 0 0 0 -1 0 0 0 0
-1 1 0 -1 0 -1 0 0 0 1 1 -1 0 0 -1 1 -1 1 1 -2 -1 1 0 -1 0 0 0 0
0 1 0 -1 -1 0 1 -1 1 0 0 1 0 0 -1 0 0 1 1 -1 0 1 0 -1 0 0 0 0
0 -1 0 0 0 -1 0 0 1 -1 -1 1 -1 0 1 -1 0 0 1 0 0 0 1 0 0 0 0 0
1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 -1 -1 1 1 -2 -1 1 1 -2 0 0 0 0
-1 1 1 -2 -1 1 1 -2 0 0 1 -1 -1 1 0 -1 -1 0 0 0 -1 0 0 0 0 0 0 0
0 1 1 -1 0 1 1 -1 0 0 1 0 0 1 0 -1 -1 1 0 -1 -1 1 0 -1 0 0 0 0
1 0 -1 1 0 1 -1 -1 0 1 0 0 1 -1 -1 1 0 0 0 0 1 -1 0 1 1 0 0 1
0 0 0 1 1 -1 -2 3 -1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 -1 -1 1 1 -1
1 -1 0 1 2 0 0 1 1 -1 -1 2 0 0 1 -1 0 0 0 0 -1 0 1 -1 0 -1 0 1
0 -1 0 1 2 -2 -1 3 0 -1 -1 1 0 0 1 0 0 0 0 0 -1 1 1 -1 -1 0 0 0
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 -1 -1 1 1 -3 1 0 0 0 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 -1 1 1 0 -2 1 0 1 0 0 2 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 -1 0 2 1 -1 0 0 1 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 2 0 -1 2 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 2 0 -1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 1 1 -1 0 1 0 1 -1 1 1 -1 -1 2 1 -2 0 0 0 0 0 0 0 0 0 0 0 0
0 -1 0 1 1 -1 1 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 0 0 0 0 -1 0 2 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 0 1 -1 -1 1 2 -1 0 -1 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 -1 -2 1 1 -3 1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 1 0 -1 -1 0 -1 1 -1 1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 -1 -1 1 -1 -1 0 1 1 -1 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0
-1 1 0 -1 -2 0 0 -1 -1 1 1 -2 0 0 -1 1 0 0 0 0 0 1 0 0 0 0 0 0
0 -1 -1 1 1 -2 -1 1 0 0 -1 0 0 -1 0 1 0 0 0 0 -1 0 0 0 0 0 0 0
1 0 -1 1 0 1 -1 -1 0 1 0 0 1 -1 -1 1 0 0 0 0 1 -1 -1 2 0 0 0 0
1 -1 -1 1 1 0 0 -1 1 0 -1 1 0 -1 0 0 0 0 0 0 0 -1 -1 1 0 0 0 0
-1 0 0 -1 -1 0 0 -1 0 0 0 -1 -1 0 0 -1 0 -1 0 0 0 0 0 0 0 0 0 0
1 -1 -1 1 1 -1 -1 1 1 0 -1 1 1 -1 -1 1 1 0 0 0 0 0 0 0 0 0 0 0
0 1 0 -1 0 1 0 -1 0 1 1 -1 0 1 0 -1 -1 1 1 -2 0 0 0 0 0 0 0 0
1 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 -1 0 0 0 0 0 0 0 0
1 -1 -1 2 1 -1 -1 2 0 0 -1 1 1 -1 -1 2 1 0 -1 1 1 -1 0 1 1 0 0 0
0 0 1 0 0 0 1 0 0 -1 0 1 0 0 1 0 0 0 0 1 0 1 1 -1 0 1 0 0
0 -1 0 0 0 -1 0 0 1 -1 -1 1 0 -1 0 0 1 -1 0 1 -1 0 1 -1 0 0 1 0
-1 0 1 -1 -1 0 1 -1 0 -1 0 0 -1 0 1 -1 0 -1 0 1 -1 1 1 -1 0 0 0 1
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
-1 1 1 -1 1 0 -1 1 0 1 1 -1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 0 0 -1 0 0 0 1 -1 1 0 -1 -2 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -1 1 1 -1 0 1 0 0 0 1 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -1 0 0 -1 0 1 0 0 -1 1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -1 0 0 -1 0 0 1 0 -1 1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 -1 -1 2 1 0 0 0 0 0 0 1 1 -2 -1 2 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 -1 1 1 -2 1 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 -1 0 1 0 1 1 -1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -1 1 1 -1 -1 1 0 0 0 1 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0
0 -1 0 1 1 0 0 1 -1 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 -1 -1 1 0 0 1 -1 0 -1 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 -1 0 0 0 0 1 0 -1 0 0 -1 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0
-1 1 1 -1 -1 1 0 0 -2 1 2 -3 0 1 1 -1 0 0 0 0 0 1 0 0 0 0 0 0
-1 0 0 -1 -1 -1 0 0 0 0 -1 -1 -1 1 0 -1 0 0 0 0 -1 0 0 0 0 0 0 0
0 0 -1 1 1 -1 -2 2 -1 2 0 -1 0 0 0 1 0 0 0 0 1 -1 -1 2 0 0 0 0
0 0 -1 0 0 -1 -1 0 1 1 -1 0 0 0 -1 1 0 0 0 0 0 -1 -1 1 0 0 0 0
-1 0 0 0 0 -1 -1 1 0 0 0 -1 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0
0 -1 0 0 1 -1 0 1 1 0 -1 1 -1 0 1 -1 1 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 -1 1 -1 1 1 -2 0 0 0 0 0 0 0 0
0 0 0 -1 0 0 1 -1 1 0 0 1 -1 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0
1 -1 0 1 1 0 0 1 0 0 -1 1 0 0 1 -1 1 0 -1 1 1 -1 0 1 1 0 0 0
0 1 1 -1 -1 1 1 -1 0 -1 0 1 0 1 0 -1 0 0 0 1 0 1 1 -1 0 1 0 0
-1 0 1 -1 0 -1 0 1 1 -1 -1 1 -1 1 1 -1 1 -1 0 1 -1 0 1 -1 0 0 1 0
-1 1 1 -1 -1 0 0 0 0 -1 0 0 0 1 0 0 0 -1 0 1 -1 1 1 -1 0 0 0 1
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
-1 2 1 -2 -1 2 0 -2 -1 1 2 -2 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0
-1 0 -1 0 0 -1 -2 2 -1 1 0 -2 -1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0
1 0 -1 2 2 0 -1 2 -1 1 0 0 1 -1 -1 2 0 0 -1 0 0 0 0 0 0 0 0 0
1 -1 -2 2 2 -2 -2 3 0 1 -1 0 0 -1 -1 1 0 0 0 -1 0 0 0 0 0 0 0 0
-1 -1 0 0 0 -2 1 0 0 -1 -1 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
1 -1 0 0 1 1 1 -2 2 -1 -1 2 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0 0
-1 1 0 -2 -3 2 2 -4 0 1 1 -2 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0 0
0 1 1 -2 -1 3 2 -3 1 0 1 0 0 0 0 -1 0 0 0 0 0 0 0 -1 0 0 0 0
1 -1 -1 2 0 0 -1 1 0 0 -1 1 1 -1 0 1 2 -1 -1 2 2 -1 -1 2 1 0 0 0
0 0 1 0 0 -1 0 1 0 -1 0 1 0 1 1 -1 0 1 1 0 0 1 1 0 0 1 0 0
0 -1 0 0 1 -1 -1 1 1 -1 -1 1 -1 0 1 -1 0 -1 1 0 0 -1 1 0 0 0 1 0
-1 0 1 -1 0 -1 0 0 0 -1 0 0 -1 1 1 -1 -1 0 1 0 -1 0 1 0 0 0 0 1
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 1 0 -1 0 1 0 0 1 0 0 0 0 -1 0 1 -1 -1 0 1 -1 0 0 1 0
0 0 0 0 1 0 -1 2 -1 1 1 -1 0 0 0 0 0 0 0 -1 0 0 0 -1 -1 1 1 -2
0 0 0 0 1 0 1 0 0 -1 0 1 0 0 0 0 -1 1 0 -1 -1 1 0 -1 -1 0 0 0
0 0 0 0 1 -1 0 2 -1 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 -1 -1 1 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
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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
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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
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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
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28 28
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
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28 28
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
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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 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
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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
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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 -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 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 0 -1 -1 1
28 28
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 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
-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 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 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 -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 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 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 -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 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 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 -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 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 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 -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 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 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 -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 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
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 -1 0 0 -1
-
PROPERTIES
Modular=1
-
REFERENCES
Bachoc, Nebe: Classification of two genera of 32-dimensional lattices
over the Hurwitz order
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NOTES
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe