The Lattice DL_32.2
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 13:15:08 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
HERMITE_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
PROPERTIES
REFERENCES
NOTES
LAST_LINE
-
NAME
DL_32.2
-
DIMENSION
32
-
GRAM
32 0
6
3 6
3 3 6
3 1 1 6
2 2 1 3 6
2 2 3 1 2 6
3 2 1 2 3 2 6
2 1 1 3 1 1 0 6
3 1 3 3 3 3 3 2 6
1 1 1 3 3 3 1 2 3 6
3 1 3 3 2 2 2 2 3 2 6
1 3 3 2 3 2 0 0 2 2 2 6
2 2 2 3 2 1 2 3 2 1 2 1 6
2 1 1 1 -1 0 0 1 1 -1 1 0 1 6
3 1 2 1 0 1 1 0 2 0 1 1 0 0 6
3 2 2 1 2 2 2 0 2 0 2 2 2 1 2 6
3 1 0 3 2 1 3 2 2 2 3 -1 2 1 0 2 6
1 -1 1 3 2 1 0 2 2 2 3 2 2 -1 1 2 1 6
3 1 1 3 2 2 0 3 2 2 2 1 2 2 1 2 2 2 6
3 3 3 2 2 2 1 2 3 2 3 2 2 1 2 2 1 2 3 6
3 3 1 2 2 2 2 3 1 2 2 1 2 0 0 1 2 1 3 2 6
2 2 3 2 0 1 0 1 2 2 3 3 2 2 2 2 0 2 1 3 1 6
1 0 0 1 0 1 0 1 2 2 1 0 1 1 3 0 1 1 2 2 0 2 6
3 1 2 2 2 2 2 2 2 1 3 0 3 2 1 1 2 0 3 2 2 1 2 6
1 1 0 1 3 0 0 0 0 1 1 2 1 0 0 1 1 1 1 0 0 0 1 1 6
1 1 1 0 2 2 1 -1 2 1 1 2 0 0 1 3 1 2 2 2 1 0 1 0 1 6
1 1 1 2 2 1 0 3 1 2 3 1 3 1 -1 1 2 2 3 3 2 1 1 3 1 1 6
1 2 2 1 1 1 0 3 2 3 2 1 1 0 0 -1 1 0 0 2 1 2 1 1 1 -1 1 6
3 2 3 1 2 2 0 2 3 2 3 2 2 2 1 2 2 1 3 3 2 2 2 3 2 2 3 2 6
1 2 1 2 3 2 1 3 2 3 0 1 3 -1 1 0 1 1 2 2 2 0 2 2 1 0 2 2 2 6
1 1 2 1 2 2 1 2 3 3 3 2 1 -2 1 1 0 2 1 3 2 2 1 1 0 1 2 3 2 2 6
2 3 2 2 0 1 0 3 1 1 2 1 2 3 0 0 2 -1 2 2 2 2 1 2 1 -1 2 3 2 1 0 6
-
DIVISORS
2^16
-
MINIMAL_NORM
6
-
KISSING_NUMBER
261120
-
HERMITE_NUMBER
4.24264
-
GROUP_ORDER
2^6 * 3^3 * 17
-
GROUP_NAME
SL_2(17) o tilde(S)_3
-
GROUP_GENERATORS
4
32 32
-1 2 0 2 0 0 2 0 1 -2 -2 -2 -3 -2 -1 0 -1 2 1 -2 -1 2 0 1 0 0 1 0 2 0 0 1
0 3 -1 1 0 0 2 0 1 -2 -1 -3 -3 -3 -1 -1 -1 2 2 -3 -3 4 -1 1 0 1 1 -1 2 1 0 2
0 2 -1 0 0 0 1 0 0 0 -1 -1 -1 -1 0 -1 0 2 1 -1 -2 1 -1 1 0 0 0 -1 1 0 1 1
-1 1 1 3 3 1 4 1 -4 -3 -4 -3 -3 -2 -1 -1 -1 3 1 -3 -3 3 1 0 -2 1 0 0 5 -1 2 3
-1 1 1 4 1 1 5 0 -3 -5 -6 -3 -5 -3 -2 -1 0 4 2 -3 -3 5 0 1 -1 1 1 1 5 0 2 3
1 1 -1 -3 -1 -1 -3 0 3 3 2 1 1 1 1 0 1 0 -1 1 1 -2 -1 1 1 -1 0 -1 -3 0 -1 -1
0 1 0 -1 -1 -1 -2 0 3 1 1 0 0 0 0 1 0 0 0 0 1 -1 0 1 1 -1 0 0 -2 0 -1 -1
1 2 -1 0 0 0 -2 -1 3 -1 2 -2 -1 -1 -1 0 -1 0 0 -2 0 1 0 0 0 1 1 0 -1 2 -1 0
0 1 0 1 0 0 1 0 0 -1 -2 -1 -2 -1 -1 0 0 2 0 -1 -1 1 0 1 0 0 0 0 1 0 1 1
0 0 1 1 1 0 2 0 -2 -1 -2 -1 -2 -1 -1 0 0 2 0 -1 -1 1 1 0 -1 0 0 0 2 0 1 2
1 1 -1 0 1 0 0 0 0 0 0 -1 0 -1 0 0 -1 1 0 -1 -1 0 0 0 -1 0 0 0 1 0 0 1
-1 2 0 3 1 1 5 0 -3 -4 -5 -3 -4 -3 -1 -2 0 4 2 -3 -4 5 -1 1 -1 1 1 0 5 0 2 3
0 2 0 1 2 1 2 0 -1 -4 -4 -2 -3 -2 -1 -2 1 3 2 -3 -3 4 0 1 -1 1 1 0 2 0 2 2
0 0 0 0 1 0 2 1 -2 1 -1 0 0 0 0 0 -1 1 0 0 -2 -1 0 0 -1 0 -1 -1 2 -1 1 2
-1 0 0 2 -1 0 4 0 -1 -2 -3 0 -3 -2 -1 0 -1 2 1 -1 -1 2 0 1 0 0 1 1 3 0 0 1
0 0 0 0 0 0 2 0 0 -2 -3 0 -2 -1 0 -1 1 2 1 -1 -1 2 -1 1 0 0 1 0 1 0 1 1
1 0 0 -1 1 -1 -1 1 0 2 1 0 1 0 0 1 -1 0 -1 0 0 -2 1 0 -1 0 -1 -1 0 -1 0 1
0 1 0 2 2 1 4 0 -3 -4 -4 -2 -3 -2 -1 -2 0 3 2 -3 -3 4 0 0 -2 1 1 1 4 0 2 2
0 2 0 2 2 1 2 0 -1 -3 -2 -3 -3 -2 -1 -1 -1 2 1 -3 -2 3 0 0 -1 1 1 0 3 0 1 2
1 1 -1 1 1 0 2 0 -1 -1 0 -2 -2 -2 -1 0 -2 1 1 -2 -2 2 0 0 -1 1 0 0 2 1 0 2
0 4 -1 1 1 1 0 -1 3 -4 -1 -4 -3 -3 -1 -2 0 2 2 -4 -2 5 -1 1 0 1 2 0 1 1 0 1
0 0 0 0 1 0 3 0 -2 -1 -2 0 -1 -1 0 -1 0 2 1 -1 -2 1 0 0 -1 0 0 0 2 0 1 2
-1 1 0 1 -1 0 3 0 0 -2 -3 0 -3 -2 -1 0 0 2 1 -1 -1 2 0 1 0 0 1 1 2 0 0 1
-1 1 0 2 0 1 2 0 0 -3 -3 -1 -3 -2 -1 0 0 2 1 -1 -1 2 0 1 0 0 1 1 2 0 0 1
-1 1 1 4 0 1 6 0 -3 -5 -7 -2 -5 -3 -2 -1 0 4 2 -3 -3 5 0 1 -1 1 2 1 5 0 2 3
1 2 -1 0 1 0 2 1 -1 -1 -1 -2 -2 -2 -1 -1 -1 2 1 -2 -3 3 -1 1 -1 1 0 -1 2 0 1 2
0 1 0 2 2 1 3 0 -3 -3 -4 -2 -3 -2 -1 -1 0 3 1 -2 -3 3 0 1 -2 1 0 0 4 0 2 3
2 0 -1 -1 -1 -1 -2 -1 2 2 4 0 1 0 -1 2 -2 -1 -1 0 1 -2 1 -1 0 0 0 0 -2 2 -2 0
0 1 0 3 1 1 4 0 -2 -4 -5 -2 -4 -3 -2 -1 0 3 1 -2 -3 4 0 1 -1 1 1 0 4 0 2 3
-1 2 0 3 0 1 3 -1 0 -5 -4 -3 -5 -3 -2 -1 0 3 2 -3 -2 5 0 1 0 1 2 1 3 1 1 2
0 2 -1 1 -1 1 0 -2 3 -4 -2 -2 -3 -2 -1 -1 1 2 1 -2 0 4 -1 1 1 0 2 1 0 2 0 0
1 2 -1 0 1 0 0 0 0 1 1 -2 0 -1 0 0 -2 1 0 -2 -2 0 0 0 -1 1 0 -1 1 0 0 2
32 32
1 0 -1 -3 1 -1 -5 0 2 4 4 1 4 2 2 1 0 -2 -2 2 2 -4 0 0 0 -1 -2 -1 -3 -1 -1 -1
0 -1 0 0 0 0 0 -1 0 -1 -1 1 0 0 0 0 1 0 0 1 1 0 0 0 0 -1 0 1 0 0 0 0
0 1 -1 -2 -1 -1 -2 -1 3 1 1 1 1 0 1 0 1 0 0 1 1 -1 -1 1 1 -1 0 0 -2 0 -1 -1
-1 -1 0 0 -1 0 -1 0 1 1 1 1 1 1 1 1 0 -1 -1 2 2 -2 0 0 1 -1 -1 0 -1 0 -1 -1
1 -2 0 -2 -1 -1 -4 0 2 3 4 2 3 2 1 2 0 -3 -2 3 3 -4 0 -1 1 -1 -1 0 -4 1 -2 -2
0 -1 0 -1 0 0 -1 -1 0 0 -1 2 1 1 1 0 2 0 0 1 1 -1 0 0 0 -1 0 1 -1 0 0 -1
2 -2 -1 -4 1 -1 -5 0 1 5 5 2 5 3 2 1 0 -3 -2 3 2 -5 0 -1 0 -1 -2 -1 -4 0 -1 -1
0 1 -1 -1 0 0 -1 0 1 1 1 0 1 0 1 -1 0 0 0 0 0 0 -1 0 0 0 -1 -1 0 0 0 0
0 1 -1 -1 0 0 -3 -1 3 0 2 -1 1 0 1 0 0 -1 0 0 1 0 -1 0 1 0 0 0 -2 1 -1 -1
-1 0 0 2 0 1 1 -1 0 -3 -1 -1 -1 -1 0 0 0 0 1 -1 0 2 0 -1 0 0 1 1 1 1 0 0
0 -1 0 -3 1 -1 -2 1 0 3 2 2 3 2 2 0 1 -1 -1 2 1 -3 0 0 0 -1 -2 -1 -2 -1 0 -1
-1 0 0 0 -2 0 -1 -1 3 -2 -1 1 -1 0 0 0 2 0 0 1 2 1 -1 1 2 -1 1 1 -2 1 -1 -2
0 0 -1 -1 -1 0 -1 0 2 1 1 1 1 0 1 0 0 -1 0 1 1 -1 -1 0 1 -1 0 0 -1 0 -1 -1
-1 1 0 1 0 0 -2 -1 3 -1 2 -2 -1 -1 0 1 -1 -1 0 -1 2 1 0 0 1 0 1 1 -1 1 -2 -1
0 1 -1 0 2 1 2 1 -2 -2 -3 -1 -1 -1 0 -2 1 2 1 -1 -3 3 -1 1 -1 1 -1 -1 3 -1 2 2
2 0 -1 -2 2 0 -4 0 2 1 3 0 2 1 1 0 0 -2 -1 0 1 -1 0 -1 0 0 0 0 -3 0 -1 -1
1 -1 0 -1 3 0 0 1 -3 2 1 0 2 1 1 0 -1 0 -1 0 -1 -2 1 -1 -2 0 -2 -1 1 -1 1 2
1 -1 -1 -4 -1 -2 -5 1 3 6 7 3 5 3 2 2 -1 -4 -2 3 3 -6 0 -1 1 -1 -2 -1 -5 0 -3 -3
-1 0 0 0 -1 0 -3 -1 3 0 1 1 1 1 1 1 1 -1 -1 1 3 -2 0 0 1 -1 0 1 -2 0 -1 -2
-1 0 0 1 0 0 1 0 0 -2 -1 0 -1 -1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0
1 -1 -1 -4 -1 -1 -6 -1 4 4 5 3 5 3 2 1 1 -3 -2 3 4 -5 0 -1 1 -2 -1 0 -5 0 -2 -3
-1 2 -1 1 0 1 0 -1 3 -4 0 -2 -2 -2 0 -1 0 0 2 -2 0 4 -1 0 1 0 2 1 0 1 -1 -1
-2 1 0 3 1 2 5 0 -2 -6 -6 -2 -4 -3 -1 -2 1 3 3 -3 -3 6 -1 1 -1 1 1 1 5 0 2 2
-1 0 0 -1 -1 0 -1 0 2 0 -1 1 0 0 1 0 2 0 0 1 1 0 -1 1 1 -1 0 0 -1 0 0 -1
0 -1 1 1 1 0 2 1 -3 0 -2 0 0 0 0 0 0 1 0 0 -1 0 0 0 -1 0 -1 0 2 -1 1 1
0 -1 0 0 0 0 0 0 0 -1 -1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
-1 0 0 1 0 0 1 1 0 -1 -1 0 -1 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0
-1 1 0 2 1 1 4 0 -3 -3 -3 -2 -2 -2 0 -2 0 2 2 -2 -3 4 -1 0 -1 1 0 0 4 0 2 2
0 1 0 0 1 0 -1 0 1 -1 0 -1 0 -1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0
-1 0 0 1 0 1 2 0 -1 -2 -3 0 -1 -1 0 -1 1 1 1 0 -1 2 -1 0 0 0 0 0 2 0 1 1
-1 0 0 0 1 1 1 0 -1 -2 -3 0 0 0 1 -2 2 1 1 0 -1 2 -1 0 0 0 0 0 1 -1 2 0
-2 2 0 2 0 1 3 -1 0 -4 -4 -2 -3 -2 0 -2 1 3 2 -2 -1 4 -1 1 0 0 1 1 3 0 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
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
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 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 -1 0 0 -1 0 1 0 0 0 -1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
1 2 -2 -1 -2 -1 -2 -1 5 1 4 -1 0 -1 0 1 -2 -1 0 -1 1 0 -1 0 1 0 1 0 -2 2 -3 -1
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
1 0 0 1 0 0 -1 -1 1 -1 2 -1 0 0 -1 1 -1 -1 0 -1 1 0 1 -1 0 0 1 1 -1 1 -1 -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 -1 -1 1 0 0 2 1 0 0 0 0 1 -1 0 0 0 0 -1 0 0 0 0 0 0 0 0 -1 0
0 1 0 1 0 0 0 0 1 -1 0 -1 -1 -1 0 0 0 0 0 -1 0 1 0 0 0 0 1 0 0 0 0 0
1 1 -1 -2 0 0 -1 0 1 1 1 0 1 0 1 -1 1 0 0 0 -1 0 -1 0 0 0 0 -1 -1 0 0 0
2 -2 0 -2 0 -1 -3 0 1 3 3 2 3 2 0 2 0 -2 -2 2 2 -4 1 -1 0 -1 -1 0 -3 0 -1 -1
0 1 0 -1 0 0 -3 -1 3 0 1 0 1 1 1 0 1 -1 0 0 2 -1 0 0 1 -1 1 1 -3 0 -1 -2
1 1 -1 -1 -1 0 -2 -1 3 0 2 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 0 1 0 -2 1 -1 -1
2 0 -2 -3 -2 -1 -4 -1 4 3 4 2 3 1 1 1 0 -2 -1 2 2 -3 -1 0 1 -1 0 0 -4 1 -2 -2
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 0 0 -1 0 1 0 0 -1 -1 1 -1 -1 -1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 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 0 0 0 0 0 0
0 -1 1 2 0 0 2 0 -1 -2 -2 0 -2 -1 -1 1 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0
1 0 0 -2 0 -1 -2 0 1 3 2 1 2 1 1 1 0 -1 -1 1 1 -3 0 0 0 -1 0 0 -2 -1 -1 -1
0 1 0 1 0 0 2 0 0 -1 -1 -1 -2 -1 -1 0 -1 1 1 -1 -1 1 0 0 0 0 1 0 1 0 0 1
-1 1 0 1 -1 0 -1 -1 3 -1 0 -1 -1 0 0 1 0 0 0 0 2 0 0 0 1 -1 1 1 -1 0 -1 -1
2 -1 0 -1 0 -1 -1 0 -1 3 2 1 2 1 0 1 -1 -1 -1 1 0 -3 1 -1 -1 0 -1 -1 -1 0 0 1
1 -2 0 0 0 0 1 0 -1 0 0 1 0 0 0 0 0 -1 0 1 0 0 0 -1 0 0 0 0 0 1 0 0
1 -1 0 -1 -1 -1 -3 -1 3 1 3 1 1 1 0 2 0 -2 -1 1 3 -2 1 -1 1 -1 1 1 -4 1 -2 -2
0 0 1 1 0 -1 -1 0 0 2 3 -1 1 1 0 2 -2 -2 -1 0 1 -2 1 -1 0 0 0 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 0 0 0 0 0 0 0 -1 0 0 0
0 0 0 1 -2 0 0 -1 2 -1 0 0 -1 0 -1 1 0 0 0 0 1 0 0 0 1 0 1 1 -1 1 -1 -1
0 0 0 0 -1 -1 1 0 0 1 1 0 0 0 0 1 -1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0
1 0 0 -1 0 -1 -5 -1 3 3 5 0 3 2 1 2 -1 -3 -2 1 3 -4 1 -1 1 -1 0 0 -4 0 -2 -2
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 0 1 0 0 0 0 0 0 0 -1 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 -1 -1 0 0 1 1 1 0 0 0 0 1 -1 0 0 0 0 -1 0 0 0 0 0 0 0 0 -1 0
0 1 0 0 0 0 0 0 1 -1 0 -1 -1 -1 0 0 0 0 1 -1 0 1 0 0 0 0 1 0 0 0 0 0
0 -1 1 -1 -2 -1 -1 0 1 1 -1 2 0 1 0 1 2 0 -1 2 2 -2 0 1 1 -1 0 0 -2 0 0 -1
0 0 0 1 0 0 2 0 -2 0 -2 0 0 0 0 0 0 1 0 0 -1 0 0 0 -1 0 0 0 2 -1 1 1
1 -1 0 -3 -1 -1 -4 0 2 4 3 2 3 3 1 1 1 -2 -2 3 3 -4 0 0 1 -1 -1 -1 -4 0 -1 -2
-2 2 1 4 3 2 7 1 -5 -6 -8 -3 -5 -3 -1 -3 1 5 3 -4 -5 6 0 1 -2 1 1 0 7 -2 4 4
-1 1 1 2 -1 0 3 0 -1 -2 -3 -1 -3 -1 -1 0 0 2 1 -1 -1 2 0 1 0 0 1 0 2 0 1 1
-2 1 1 3 -1 1 4 -1 -1 -5 -6 -1 -4 -2 -1 -1 2 3 2 -2 -1 4 0 1 0 0 2 1 3 0 2 1
0 0 0 0 -1 -1 0 0 1 1 1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 -1 0
0 0 1 0 -1 -1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0
-2 1 1 2 1 1 4 1 -3 -2 -5 -1 -3 -1 0 -1 1 3 1 -1 -2 2 0 1 -1 0 0 0 4 -2 2 2
0 1 0 0 0 0 0 0 1 0 1 -1 0 0 0 0 -1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 -2 0 -1 -1 0 0 3 1 1 2 1 1 0 0 0 0 1 0 -2 0 0 0 -1 -1 -1 -1 -1 0 0
0 -2 1 -1 -1 -1 0 1 -2 4 -1 3 2 2 1 1 1 0 -2 3 1 -4 0 1 0 -1 -2 -1 0 -2 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
-1 -1 1 1 0 0 5 1 -4 -1 -5 1 -2 -1 0 -1 1 3 1 0 -2 1 0 1 -1 0 0 0 4 -2 2 2
0 1 0 1 0 0 0 0 1 -1 0 -1 -1 -1 0 0 0 0 0 -1 0 1 0 0 0 0 1 0 0 0 0 0
-1 1 1 2 -1 0 3 0 0 -2 -3 -1 -3 -2 -1 0 0 2 1 -1 -1 2 0 1 0 0 1 0 2 0 0 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
-2 1 1 2 -1 0 3 0 -1 -1 -3 -1 -2 -1 0 0 0 2 1 -1 -1 1 0 1 0 0 0 0 3 -1 1 1
-2 0 2 4 1 1 6 0 -4 -4 -6 -2 -4 -2 -1 -1 0 3 2 -2 -2 4 1 0 -1 0 1 1 5 -1 2 2
-1 1 0 1 -1 0 -1 -1 3 -1 0 -1 -1 0 0 1 0 0 0 0 2 0 0 0 1 -1 1 1 -1 0 -1 -1
0 -1 1 0 1 0 2 1 -3 -1 -4 1 -1 0 0 -1 2 2 0 0 -1 1 0 1 -1 0 -1 0 2 -1 2 1
0 -1 1 -1 -2 -1 -1 0 1 2 1 2 1 1 0 1 1 -1 -1 2 2 -2 0 0 1 -1 0 0 -2 0 -1 -2
-2 1 1 3 0 1 5 0 -2 -4 -6 -1 -4 -2 -1 -1 1 4 2 -2 -2 3 0 1 -1 0 1 1 4 -1 2 2
-2 2 1 3 0 1 3 -1 0 -5 -5 -2 -4 -2 -1 -1 1 3 2 -3 -1 4 0 1 0 0 2 1 3 0 1 1
-1 1 1 4 0 1 6 0 -3 -5 -6 -2 -5 -3 -2 -1 0 4 2 -3 -3 5 0 1 -1 1 1 1 5 0 2 3
-1 1 1 2 1 1 5 0 -3 -4 -7 -1 -4 -2 -1 -2 2 4 2 -2 -3 4 0 1 -1 0 1 0 4 -1 3 3
-1 0 1 2 -1 0 3 0 -1 -2 -4 0 -3 -1 -1 0 1 2 1 -1 -1 2 0 1 0 0 1 0 2 0 1 1
-1 2 0 1 1 0 1 0 0 -1 0 -2 -1 -1 0 0 -1 1 1 -2 -1 1 0 0 -1 0 0 0 2 0 0 1
-
PROPERTIES
Modular=1
-
REFERENCES
G. Nebe, Some cyclo-quaternionic lattices, J. Alg. 199 (1998), 472-498.
-
NOTES
CycloQuaternionic lattice of type Delta2
Official name is ^((5+sqrt(17))/2)L_32,2
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe