The Lattice LAMBDA31
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 13:19:19 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
BASE (on a different scale from the rest of this file)
GRAM
PROPERTIES
NOTES
MINIMAL_NORM
DET
KISS
GROUP_ORDER
GROUP_GENERATORS
LAST_LINE
-
NAME
LAMBDA31
-
DIMENSION
31
-
BASE (on a different scale from the rest of this file)
8 0 0 0 0 0 0 0 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 4 0 0 0 0 0 0 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 0 4 0 0 0 0 0 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 0 0 4 0 0 0 0 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 0 0 0 4 0 0 0 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 0 0 0 0 4 0 0 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 0 0 0 0 0 4 0 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 2 2 2 2 2 2 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
4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 0 2 0 2 0 0 2 2 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 0 0 2 2 2 0 0 2 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 0 0 2 0 2 0 2 0 0 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0
0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0
-3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0
2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0
2 2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 -2 2 0 0 0 0
2 -2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 -2 2 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0
2 0 -2 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 2 0 0 -2
2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0
2 0 0 2 0 0 -2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 -2 -2
-
GRAM
31 31
16 8 8 8 8 8 8 4 8 8 8 4 8 4 4 4
8 4 4 4 0 0 0 -6 4 4 4 8 4 4 4
8 8 4 4 4 4 4 4 4 4 4 4 4 4 2 2
4 2 2 4 2 0 0 -2 4 4 0 4 2 2 2
8 4 8 4 4 4 4 4 4 4 4 4 4 2 4 2
4 4 2 2 2 0 0 -2 4 0 0 4 0 2 2
8 4 4 8 4 4 4 4 4 4 4 4 4 2 2 4
4 2 4 2 2 0 0 -2 4 4 4 4 2 4 4
8 4 4 4 8 4 4 4 4 4 4 2 4 4 4 4
4 4 4 4 2 0 0 -2 2 2 2 4 4 4 2
8 4 4 4 4 8 4 4 4 4 4 2 4 4 2 2
4 2 4 2 0 0 0 -2 2 2 2 4 2 4 2
8 4 4 4 4 4 8 4 4 4 4 2 4 2 4 2
4 2 2 4 0 0 0 -2 2 2 2 4 2 2 0
4 4 4 4 4 4 4 8 2 2 2 4 2 4 4 4
2 4 4 4 4 0 0 2 4 2 0 2 0 4 0
8 4 4 4 4 4 4 2 8 4 4 4 4 4 4 4
4 4 4 4 2 2 2 -2 2 2 2 4 2 2 2
8 4 4 4 4 4 4 2 4 8 4 4 4 4 2 2
4 4 2 2 0 2 0 -2 2 2 2 4 2 2 2
8 4 4 4 4 4 4 2 4 4 8 4 4 2 4 2
4 2 4 2 0 0 2 -2 2 2 2 4 2 2 2
4 4 4 4 2 2 2 4 4 4 4 8 2 4 4 4
2 4 4 4 4 2 2 2 4 2 0 2 0 2 2
8 4 4 4 4 4 4 2 4 4 4 2 8 4 4 4
4 2 2 2 2 2 2 -2 2 2 2 4 2 2 2
4 4 2 2 4 4 2 4 4 4 2 4 4 8 4 4
2 4 4 4 4 4 2 2 2 2 0 2 2 3 1
4 2 4 2 4 2 4 4 4 2 4 4 4 4 8 4
2 4 4 4 4 2 4 2 2 0 0 2 1 2 0
4 2 2 4 4 2 2 4 4 2 2 4 4 4 4 8
2 4 4 4 4 2 2 2 2 2 2 2 1 3 1
8 4 4 4 4 4 4 2 4 4 4 2 4 2 2 2
8 4 4 4 2 2 2 -2 2 2 2 4 2 2 2
4 2 4 2 4 2 2 4 4 4 2 4 2 4 4 4
4 8 4 4 4 4 2 2 2 0 0 2 0 2 0
4 2 2 4 4 4 2 4 4 2 4 4 2 4 4 4
4 4 8 4 4 2 4 2 2 2 2 2 2 4 2
4 4 2 2 4 2 4 4 4 2 2 4 2 4 4 4
4 4 4 8 4 2 2 2 2 2 0 2 2 2 0
0 2 2 2 2 0 0 4 2 0 0 4 2 4 4 4
2 4 4 4 8 4 4 4 3 1 -1 0 0 2 1
0 0 0 0 0 0 0 0 2 2 0 2 2 4 2 2
2 4 2 2 4 8 4 4 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 2 0 2 2 2 2 4 2
2 2 4 2 4 4 8 4 0 0 0 0 0 0 0
-6 -2 -2 -2 -2 -2 -2 2 -2 -2 -2 2 -2 2 2 2
-2 2 2 2 4 4 4 8 0 -1 -2 -3 -2 0 -2
4 4 4 4 2 2 2 4 2 2 2 4 2 2 2 2
2 2 2 2 3 0 0 0 8 4 0 4 0 4 4
4 4 0 4 2 2 2 2 2 2 2 2 2 2 0 2
2 0 2 2 1 0 0 -1 4 8 4 4 4 4 4
4 0 0 4 2 2 2 0 2 2 2 0 2 0 0 2
2 0 2 0 -1 0 0 -2 0 4 8 4 4 4 4
8 4 4 4 4 4 4 2 4 4 4 2 4 2 2 2
4 2 2 2 0 0 0 -3 4 4 4 8 4 4 4
4 2 0 2 4 2 2 0 2 2 2 0 2 2 1 1
2 0 2 2 0 0 0 -2 0 4 4 4 8 4 4
4 2 2 4 4 4 2 4 2 2 2 2 2 3 2 3
2 2 4 2 2 0 0 0 4 4 4 4 4 8 4
4 2 2 4 2 2 0 0 2 2 2 2 2 1 0 1
2 0 2 0 1 0 0 -2 4 4 4 4 4 4 8
-
PROPERTIES
INTEGRAL =1
-
NOTES
Laminated lattice LAMBDA31, constructed as in Sect. 7, Chap. 6 of SPLAG,
at scale at which it is integral.
-
MINIMAL_NORM
8
-
DET
4294967296
-
KISS
202692
-
GROUP_ORDER
|Aut| = 336 * 24 * 2 * 8 * 4 * 32 * 4 * 2 * 2 * 8 * 2
= 2^26 * 3^2 * 7 = 4227858432
-
GROUP_GENERATORS
#5
31
-13 4 5 2 4 1 1 0 4 2 2 -2 2 -2 -2 2 2 -2 0 0 -4 2 0 0 0 0 0 0 0 0 0
-14 4 5 3 4 2 1 0 3 2 2 -2 2 -2 -2 2 1 -1 -1 1 -4 2 2 -2 0 0 0 0 0 0 0
-7 2 2 1 3 0 -1 2 3 1 0 0 2 -2 0 0 2 -2 0 0 -4 2 0 0 0 0 0 0 0 0 0
-11 3 5 3 3 1 1 0 2 1 2 -2 0 0 -2 2 1 -1 -1 1 -4 2 2 -2 0 0 0 0 0 0 0
-8 2 2 1 4 1 1 0 4 1 1 0 2 -2 -2 0 2 -1 -1 -1 -2 0 0 2 0 0 0 0 0 0 0
-7 3 3 1 2 1 0 0 2 2 1 -2 0 -2 0 2 1 -2 0 0 -2 2 0 0 0 0 0 0 0 0 0
-7 3 3 2 1 1 1 -2 1 1 1 -2 0 0 0 2 1 0 0 0 -2 0 0 0 0 0 0 0 0 0 0
-11 4 4 3 3 2 0 0 2 2 1 -2 0 -2 0 2 1 -1 -1 1 -4 2 2 -2 0 0 0 0 0 0 0
-5 1 2 0 2 0 0 1 2 1 0 0 1 -1 -1 1 2 -2 0 0 -2 1 0 0 0 0 0 0 0 0 0
-5 2 2 1 2 1 1 -1 1 0 0 0 1 -1 -1 1 0 0 0 0 -2 1 0 0 0 0 0 0 0 0 0
-5 2 2 0 2 0 1 0 2 0 0 0 1 -1 -1 1 1 -1 1 -1 -2 1 0 0 0 0 0 0 0 0 0
-8 2 3 2 3 1 0 1 2 0 0 0 1 -1 -1 1 1 -1 -1 1 -4 2 2 -2 0 0 0 0 0 0 0
-6 2 3 1 2 0 0 0 2 1 1 -1 1 -1 -1 1 1 -1 0 0 -2 1 0 0 0 0 0 0 0 0 0
-6 2 2 1 3 1 0 0 2 1 0 0 1 -2 -1 1 1 -1 -1 0 -2 1 1 0 0 0 0 0 0 0 0
-3 1 1 0 2 0 0 0 2 0 -1 1 1 -1 0 0 2 -1 0 -1 -2 0 0 1 0 0 0 0 0 0 0
-7 2 3 2 2 1 0 0 2 1 1 -1 0 -1 -1 1 1 -1 -1 1 -2 1 1 -1 0 0 0 0 0 0 0
-6 2 3 1 1 0 0 0 2 2 1 -2 1 -1 -1 1 0 -1 1 1 -2 1 0 0 0 0 0 0 0 0 0
-2 1 1 0 1 0 -1 1 1 1 -1 0 1 -2 0 0 0 -1 1 1 -2 1 0 0 0 0 0 0 0 0 0
-4 1 2 0 2 0 0 1 2 1 0 0 0 -1 -1 1 1 -2 0 0 -2 1 1 0 0 0 0 0 0 0 0
-8 2 3 2 2 1 0 0 3 2 1 -2 1 -1 -1 1 1 -1 -1 1 -2 0 1 0 0 0 0 0 0 0 0
-5 1 2 1 2 0 -1 2 2 1 0 0 1 -1 -1 0 1 -1 -1 1 -3 1 2 -1 0 0 0 0 0 0 0
3 0 0 -1 -1 -1 -1 0 -1 0 -1 0 0 0 0 0 -1 0 1 1 0 0 0 0 0 0 0 0 0 0 0
3 -1 0 -2 -1 -1 -1 1 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0
2 0 0 0 -1 0 -1 0 -1 0 -1 0 -1 0 1 0 -1 0 0 1 0 0 1 -1 0 0 0 0 0 0 0
-9 2 3 3 3 1 0 1 2 1 1 -1 1 -1 -1 1 1 -1 -1 1 -4 2 2 -2 0 0 -1 0 0 0 0
-7 2 3 2 1 1 1 0 1 1 2 -2 0 0 -2 2 0 0 -1 1 -2 1 2 -2 1 -1 0 -1 1 0 0
0 0 1 0 -1 0 0 0 0 0 1 -1 -1 1 -1 1 0 0 0 0 0 0 0 0 2 -1 1 -1 2 -1 -1
-5 1 2 1 1 0 0 1 2 1 1 -1 1 -1 -1 1 1 -1 0 0 -2 1 0 0 0 0 -1 0 1 0 0
-2 0 1 0 1 0 1 0 2 0 1 0 1 0 -2 0 1 0 -1 -1 0 -1 0 2 0 0 0 -1 1 0 0
-5 1 2 1 2 1 0 1 2 1 1 -1 0 -1 -1 1 1 -1 -1 0 -2 1 1 0 1 0 0 -1 1 -1 0
-4 0 2 1 2 0 0 1 2 0 1 0 1 0 -2 0 1 -1 -1 0 -2 1 1 0 1 0 0 -1 1 0 -1
31
-5 1 1 2 1 1 0 0 2 0 2 -2 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0
-2 1 1 1 0 0 0 0 1 0 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-3 0 1 1 0 0 -1 1 2 1 2 -2 0 0 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0
-3 1 0 1 1 1 1 -1 1 -1 1 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 -1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-2 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 2 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 0
-2 0 0 1 1 1 0 0 1 -1 1 0 0 0 0 0 1 0 -2 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
-8 2 3 3 2 1 1 -1 2 0 2 -2 0 1 -1 1 2 0 -2 0 -2 0 1 0 0 0 0 0 0 0 0
3 -1 -2 0 -1 0 0 -1 0 -1 0 0 0 1 1 -1 1 1 -1 -1 2 -2 -1 2 0 0 0 0 0 0 0
-6 2 2 2 1 1 -1 1 1 1 1 -2 0 -1 1 1 1 -1 -1 1 -2 2 1 -2 0 0 0 0 0 0 0
-1 1 1 1 -1 0 0 -1 0 0 1 -2 -1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-2 0 0 1 0 1 0 0 1 0 1 -1 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 1 -1 0 -1 0 0 0 1 0 0 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0
-5 1 2 2 1 1 0 0 1 0 1 -1 0 0 0 1 1 -1 -1 1 -2 1 1 -1 0 0 0 0 0 0 0
-1 1 1 1 -1 1 1 -2 -1 -1 1 -1 -1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
2 -1 -1 0 -1 -1 -1 1 0 -1 0 0 0 1 1 -1 1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0
3 -1 -1 0 -1 -1 -1 0 0 -1 0 0 0 1 1 -1 1 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0
-2 1 1 1 0 0 0 0 -1 -1 0 0 -1 1 1 1 1 0 0 0 -2 1 1 -2 0 0 0 0 0 0 0
3 -1 0 0 -1 -1 0 0 -1 -2 0 0 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 -1 -1 0 0 0 -1 0 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0
4 -1 -2 -1 -1 -1 0 0 0 -1 -1 1 0 1 1 -1 1 0 0 -1 0 -1 -1 2 0 0 0 0 0 0 0
-2 1 1 2 -1 0 0 0 -1 0 0 -1 -1 1 1 1 0 0 0 1 -2 1 1 -2 0 0 0 0 0 0 0
5 -1 -1 -1 -2 -1 0 0 -2 -1 -1 1 -1 1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0
-2 0 1 1 0 0 0 0 1 0 1 -1 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 1 0 0 -1 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -1 1 -1 0 0 0 1
-1 0 -1 0 1 1 1 0 0 -1 0 1 0 0 0 0 1 1 -1 -1 0 0 0 0 0 0 0 0 0 -1 1
-3 0 1 1 1 1 0 0 1 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 1 0 0 0 -1 0
2 -1 -1 -1 0 0 0 1 0 -1 -1 1 0 0 0 0 1 0 0 -1 0 0 0 0 1 0 0 -1 1 -1 0
1 -1 -1 -1 0 0 0 1 0 -1 0 1 0 0 0 0 1 0 0 -1 0 0 0 0 1 0 0 0 1 -1 0
-1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 1 -1 0
31
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 1 0 0 0 0 0 0 0 0 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 0 0 0 0 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 0 0 -1 -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
-1 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
-1 1 1 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
-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
-1 1 1 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
-1 1 1 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
2 0 0 -1 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
-1 1 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 0 0
2 -1 0 -1 0 -1 0 1 0 -1 0 1 0 1 -1 -1 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 1 0 -1 -1 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 -1 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 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 0 0 -2 0 -1 0 1 0 0 -1 1 0 0 0 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0
0 0 1 0 0 -1 -1 1 1 1 0 -1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 -1 0 -1 0 1 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0
-1 0 1 1 0 -1 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 1 -1 0 0 0 0 0 0 0
0 -1 0 0 0 -1 0 1 1 0 0 0 1 1 -1 -1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
-1 0 1 0 0 0 1 0 -1 0 0 0 -1 1 -1 1 0 0 0 0 0 0 1 -2 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 -1 0 0 0 0 0 0 0
0 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 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 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 -1 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 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 -1
31
1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0
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 1 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 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
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 0 1 -1 0 0 0
-1 1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 1
31
1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0
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 1 0 0 0 0 0 0
0 0 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 1 0 0 0 0
0 0 0 0 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
-3 1 1 1 2 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 -1 0 0
-1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 -1 0
-2 1 1 1 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 -1
-
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Haftungsausschluss/Disclaimer
Gabriele Nebe