The Lattice LAMBDA64{0}
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 Mon May 20 16:59:23 CEST 2019
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GRAM
BASIS
PROPERTIES
NOTES
REFERENCES
LAST_LINE
-
NAME
LAMBDA64{0}
-
DIMENSION
64
-
DIVISORS
1^2, 2^32, 4^30
-
MINIMAL_NORM
16
-
KISSING_NUMBER
9 694 080
-
GRAM
64 64
16 2 4 -2 0 0 2 0 -2 0 -2 -2 0 2 0 0 0 0 2 0 -2 -4 -2 2 -6 4 -2 -2 -4 2 -2 0 2 2 2 2 -2 4 4 8 2 -2 2 6 4 0 -4 0 4 2 -4 6 -6 0 -4 -2 -2 0 -4 4 -2 -2 0 -8
2 16 2 2 0 -2 0 -2 0 -2 -4 -4 0 2 2 2 -2 -4 2 4 2 2 0 2 -2 4 -2 2 -4 -2 -2 -2 0 2 2 2 -2 -4 0 0 2 6 -2 -6 -4 -2 -2 -4 -2 2 4 -6 -4 -4 -8 -8 0 -6 0 -2 -6 -2 0 0
4 2 16 -2 0 0 -2 2 2 -2 2 2 0 2 2 2 0 2 0 2 2 2 2 -4 -8 0 -2 -4 -2 -2 0 0 0 4 4 0 -2 2 6 8 2 2 -6 8 -4 -6 4 2 -6 -6 2 -2 4 -2 -4 -8 -4 2 -6 6 0 6 2 -8
-2 2 -2 16 2 0 -2 -2 2 0 4 2 2 -2 -2 0 2 4 0 -4 4 4 4 -2 2 0 2 2 0 4 2 0 -2 -2 -4 0 -2 2 6 2 2 -4 -6 -6 6 6 4 2 -6 2 -2 6 0 4 -6 -6 6 -6 -4 6 6 6 0 8
0 0 0 2 16 4 2 2 -2 2 2 -2 0 2 2 2 0 2 -2 -4 -4 -4 -2 2 0 -2 4 -4 0 0 2 2 0 -2 2 -2 -2 6 2 8 -2 -4 4 2 -4 -6 -2 -2 4 8 -6 2 -4 8 -6 4 4 6 0 -2 -4 6 4 -2
0 -2 0 0 4 16 4 4 4 8 8 2 4 -2 -2 2 -4 8 -8 -8 -8 -8 0 4 -2 2 -4 4 0 -2 -2 -2 4 -4 4 -4 4 0 6 8 -4 -8 8 0 6 -2 4 -2 8 2 -8 -4 -6 2 2 0 -4 2 0 6 2 2 0 4
2 0 -2 -2 2 4 16 4 4 0 -4 0 2 0 -2 4 -8 0 -8 -4 -4 -8 -8 8 -6 4 4 2 -2 6 -2 2 8 -8 4 4 4 4 -2 8 0 -8 8 -2 4 -4 -2 0 4 2 4 -4 0 0 4 -4 -4 6 -2 -6 0 -2 2 0
0 -2 2 -2 2 4 4 16 4 -4 0 -2 2 0 -2 4 -8 0 -8 4 -8 0 -8 -4 2 4 -4 2 -2 -6 -2 2 -4 4 4 0 4 4 2 8 4 0 0 2 -4 -8 -2 0 -4 -4 -4 0 4 -2 2 -4 -8 2 -6 -6 -2 -4 2 0
-2 0 2 2 -2 4 4 4 16 0 0 2 2 0 -2 4 -8 8 -8 0 4 4 4 0 -2 4 0 2 -2 6 -2 2 4 0 4 4 4 -4 6 4 4 0 -4 -6 6 -4 0 2 0 0 4 2 -2 -2 -2 -10 -4 -2 -4 -4 8 6 0 8
0 -2 -2 0 2 8 0 -4 0 16 4 2 2 -2 0 -2 4 8 -4 -8 -4 -8 4 8 -4 -2 0 2 2 0 0 -4 8 0 4 -4 0 -2 6 -2 -8 -4 4 -4 6 6 6 0 4 4 -4 -6 -2 4 2 4 4 4 6 6 2 2 2 4
-2 -4 2 4 2 8 -4 0 0 4 16 4 2 -2 0 -2 4 8 -4 -8 0 0 4 -4 4 -2 0 2 2 -4 0 -4 -4 -4 0 -8 4 2 6 2 -4 -8 0 0 2 2 2 0 0 -2 -4 -2 -2 2 0 0 4 -4 -2 6 4 8 -2 0
-2 -4 2 2 -2 2 0 -2 2 2 4 16 4 2 -2 2 2 2 -2 -2 2 0 2 0 2 2 0 -2 -2 4 -4 -4 2 -4 -4 0 2 -6 2 -2 0 -4 2 6 -2 2 2 8 -4 -8 6 4 -2 0 -2 -4 0 0 2 -2 10 2 -4 0
0 0 0 2 0 4 2 2 2 2 2 4 16 0 -8 8 -4 2 -2 0 -4 0 -2 2 6 4 -4 4 -8 6 -8 -8 0 -2 0 -4 0 4 2 8 0 -4 0 6 0 -4 0 -4 4 2 2 4 -4 0 -6 -6 -8 2 6 4 4 -4 4 0
2 2 2 -2 2 -2 0 0 0 -2 -2 2 0 16 4 4 0 -4 -2 2 2 0 -2 0 6 8 0 -8 -8 -2 -8 -4 0 0 -4 4 4 -2 -6 4 4 -2 4 -2 -2 -8 -8 -2 2 4 0 6 -4 2 -6 2 4 -6 6 2 -2 -2 -4 -8
0 2 2 -2 2 -2 -2 -2 -2 0 0 -2 -8 4 16 -8 4 -2 0 2 2 0 0 2 -4 -4 4 0 0 0 4 0 0 2 4 4 0 -2 0 0 -4 6 0 -4 0 -4 -4 2 2 4 -2 -2 0 2 -4 2 4 -6 0 4 0 4 -4 -6
0 2 2 0 2 2 4 4 4 -2 -2 2 8 4 -8 16 -8 0 -2 2 -2 0 -2 0 6 8 0 -4 -8 -2 -4 0 0 0 0 0 0 2 -2 8 4 -2 0 2 0 -4 0 -2 2 2 4 2 -4 -2 -2 -4 -8 4 2 -4 -4 -4 4 2
0 -2 0 2 0 -4 -8 -8 -8 4 4 2 -4 0 4 -8 16 0 4 -4 4 0 4 0 0 -8 0 -4 4 0 4 -4 0 0 -4 -4 -4 -2 2 -6 -4 0 -4 2 -4 8 4 2 -4 -2 0 -2 0 4 -2 8 12 -4 4 6 2 4 0 -4
0 -4 2 4 2 8 0 0 8 8 8 2 2 -4 -2 0 0 16 -4 -8 0 0 8 0 -2 0 0 2 2 2 2 -2 4 0 4 -4 0 2 12 2 -4 -4 -4 -2 6 2 4 2 0 0 -4 0 -4 2 -2 -4 0 2 -4 6 8 10 2 6
2 2 0 0 -2 -8 -8 -8 -8 -4 -4 -2 -2 -2 0 -2 4 -4 16 4 4 4 4 -4 2 -2 0 -2 2 0 4 0 -4 4 -4 0 -8 0 -4 -8 0 8 -4 6 -4 4 0 0 0 0 0 4 0 -2 -2 4 0 0 0 4 -4 -2 0 -2
0 4 2 -4 -4 -8 -4 4 0 -8 -8 -2 0 2 2 2 -4 -8 4 16 0 8 -4 -4 4 2 -4 0 -4 -2 -2 2 -4 8 0 4 0 -2 -4 -2 4 12 -4 4 -6 -4 -6 0 -4 -2 4 2 4 -4 -4 -2 -8 0 0 -4 -2 -6 -2 -2
-2 2 2 4 -4 -8 -4 -8 4 -4 0 2 -4 2 2 -2 4 0 4 0 16 8 8 -4 0 -2 4 -4 0 6 2 2 0 0 -4 4 0 -6 0 -6 4 4 -8 -6 0 2 0 4 -4 -2 8 4 0 -2 -4 -2 8 -8 -2 -2 4 6 -2 0
-4 2 2 4 -4 -8 -8 0 4 -8 0 0 0 0 0 0 0 0 4 8 8 16 4 -8 6 0 0 0 0 0 0 0 -8 4 -4 0 0 -2 2 -6 4 8 -12 0 -4 -2 -2 2 -8 -4 4 6 2 -2 -6 -6 0 -6 -4 -2 4 4 -2 2
-2 0 2 4 -2 0 -8 -8 4 4 4 2 -2 -2 0 -2 4 8 4 -4 8 4 16 -4 0 -2 0 -2 2 0 4 0 0 4 0 0 -4 -6 6 -6 0 4 -8 -4 4 6 4 2 0 0 0 4 -4 0 -2 -2 4 -4 0 4 4 8 0 4
2 2 -4 -2 2 4 8 -4 0 8 -4 0 2 0 2 0 0 0 -4 -4 -4 -8 -4 16 -8 0 4 2 -2 6 -2 -2 8 -4 4 0 0 -2 0 2 -4 -4 8 -2 4 2 0 -2 8 6 0 -6 -2 2 2 2 0 4 6 0 0 -2 0 2
-6 -2 -8 2 0 -2 -6 2 -2 -4 4 2 6 6 -4 6 0 -2 2 4 0 6 0 -8 24 4 -2 -2 -4 -6 -6 -6 -8 0 -8 -4 2 0 -6 -4 2 0 -2 -2 -4 0 -8 -4 2 2 2 8 -4 2 -4 6 0 -6 8 -2 0 -4 -2 2
4 4 0 0 -2 2 4 4 4 -2 -2 2 4 8 -4 8 -8 0 -2 2 -2 0 -2 0 4 16 -4 0 -8 -2 -8 -4 0 0 0 4 4 -2 -2 4 4 -2 4 0 2 -4 -6 -2 2 0 0 4 -6 -2 -2 -6 -4 -4 0 -2 -2 -4 -4 -2
-2 -2 -2 2 4 -4 4 -4 0 0 0 0 -4 0 4 0 0 0 0 -4 4 0 0 4 -2 -4 16 -4 4 4 4 4 0 -4 0 0 0 2 -2 -2 0 -4 0 -4 4 0 -2 2 2 6 4 0 4 2 4 0 4 2 -2 -6 -2 4 2 2
-2 2 -4 2 -4 4 2 2 2 2 2 -2 4 -8 0 -4 -4 2 -2 0 -4 0 -2 2 -2 0 -4 16 0 2 0 -4 0 -2 4 0 0 2 4 -2 -4 0 0 -2 4 2 0 -2 0 0 -2 -4 0 -2 2 -4 -4 -2 0 2 4 -2 0 6
-4 -4 -2 0 0 0 -2 -2 -2 2 2 -2 -8 -8 0 -8 4 2 2 -4 0 0 2 -2 -4 -8 4 0 16 -2 8 4 0 -2 0 -4 0 -2 0 -10 -4 0 0 0 0 6 6 2 -4 -4 -2 -6 6 2 10 4 4 4 -6 -2 0 4 0 4
2 -2 -2 4 0 -2 6 -6 6 0 -4 4 6 -2 0 -2 0 2 0 -2 6 0 0 6 -6 -2 4 2 -2 24 0 0 8 -6 0 4 0 0 2 6 0 -2 0 2 6 -2 0 2 6 4 6 6 -4 2 -6 -6 0 0 0 2 10 4 2 0
-2 -2 0 2 2 -2 -2 -2 -2 0 0 -4 -8 -8 4 -4 4 2 4 -2 2 0 4 -2 -6 -8 4 0 8 0 16 8 0 2 4 0 -4 0 2 -2 -4 6 -4 -2 2 6 6 4 -2 0 -2 -4 2 0 4 2 4 2 -8 0 -2 6 4 4
0 -2 0 0 2 -2 2 2 2 -4 -4 -4 -8 -4 0 0 -4 -2 0 2 2 0 0 -2 -6 -4 4 -4 4 0 8 16 0 2 0 4 0 0 -2 2 4 2 0 -4 4 2 2 4 0 0 -2 0 4 -2 4 0 0 4 -8 -6 -4 2 0 4
2 0 0 -2 0 4 8 -4 4 8 -4 2 0 0 0 0 0 4 -4 -4 0 -8 0 8 -8 0 0 0 0 8 0 0 16 -4 4 4 0 -2 2 2 -4 -4 4 -2 6 2 4 2 4 2 4 -6 -2 2 0 0 0 6 2 2 4 2 2 2
2 2 4 -2 -2 -4 -8 4 0 0 -4 -4 -2 0 2 0 0 0 4 8 0 4 4 -4 0 0 -4 -2 -2 -6 2 2 -4 16 4 0 -4 -2 4 -2 4 12 -8 0 -4 0 0 0 -4 -2 -4 2 4 -4 -2 0 -4 0 -2 0 -4 -4 2 0
2 2 4 -4 2 4 4 4 4 4 0 -4 0 -4 4 0 -4 4 -4 0 -4 -4 0 4 -8 0 0 4 0 0 4 0 4 4 16 0 0 2 6 6 -4 4 0 -2 2 -2 0 0 4 2 0 -8 0 -2 0 -6 -6 6 -4 -2 -2 4 4 0
2 2 0 0 -2 -4 4 0 4 -4 -8 0 -4 4 4 0 -4 -4 0 4 4 0 0 0 -4 4 0 0 -4 4 0 4 4 0 0 16 0 -2 -2 2 4 4 0 -2 2 -4 -4 4 0 4 4 4 -2 -2 -2 -4 0 -4 0 -4 0 -2 -2 -2
-2 -2 -2 -2 -2 4 4 4 4 0 4 2 0 4 0 0 -4 0 -8 0 0 0 -4 0 2 4 0 0 0 0 -4 0 0 -4 0 0 16 -4 -4 0 0 -4 8 -4 2 -6 -4 0 0 -2 0 -2 0 -2 2 -2 0 -2 0 -2 2 -2 -4 0
4 -4 2 2 6 0 4 4 -4 -2 2 -6 4 -2 -2 2 -2 2 0 -2 -6 -2 -6 -2 0 -2 2 2 -2 0 0 0 -2 -2 2 -2 -4 24 2 12 -4 -8 -2 4 2 -4 0 -2 0 6 -4 2 4 4 0 2 -2 10 -2 6 -2 0 8 -6
4 0 6 6 2 6 -2 2 6 6 6 2 2 -6 0 -2 2 12 -4 -4 0 2 6 0 -6 -2 -2 4 0 2 2 -2 2 4 6 -2 -4 2 24 8 0 -2 -6 2 6 2 4 2 -2 0 -2 0 -2 2 -8 -10 0 -2 -6 4 6 10 2 4
8 0 8 2 8 8 8 8 4 -2 2 -2 8 4 0 8 -6 2 -8 -2 -6 -6 -6 2 -4 4 -2 -2 -10 6 -2 2 2 -2 6 2 0 12 8 32 4 -8 2 6 6 -12 0 -2 10 8 -4 2 -6 2 -10 -8 -6 0 -2 8 -2 2 6 -8
2 2 2 2 -2 -4 0 4 4 -8 -4 0 0 4 -4 4 -4 -4 0 4 4 4 0 -4 2 4 0 -4 -4 0 -4 4 -4 4 -4 4 0 -4 0 4 16 0 -4 0 -2 -4 -4 0 -2 -2 2 6 2 -4 -2 -6 -2 -6 -2 -6 -2 -4 0 2
-2 6 2 -4 -4 -8 -8 0 0 -4 -8 -4 -4 -2 6 -2 0 -4 8 12 4 8 4 -4 0 -2 -4 0 0 -2 6 2 -4 12 4 4 -4 -8 -2 -8 0 24 -8 -2 -8 -2 -2 2 -4 -2 2 0 0 -6 -4 0 -4 -2 -2 -2 -2 -2 0 0
2 -2 -6 -6 4 8 8 0 -4 4 0 2 0 4 0 0 -4 -4 -4 -4 -8 -12 -8 8 -2 4 0 0 0 0 -4 0 4 -8 0 0 8 -2 -6 2 -4 -8 24 0 4 -2 -6 -4 10 6 -4 -2 -4 2 6 6 0 4 4 -2 -4 -6 -6 -2
6 -6 8 -6 2 0 -2 2 -6 -4 0 6 6 -2 -4 2 2 -2 6 4 -6 0 -4 -2 -2 0 -4 -2 0 2 -2 -4 -2 0 -2 -2 -4 4 2 6 0 -2 0 30 -10 -6 0 2 0 -6 -2 5 0 0 -1 1 -10 7 0 3 1 -4 2 -12
4 -4 -4 6 -4 6 4 -4 6 6 2 -2 0 -2 0 0 -4 6 -4 -6 0 -4 4 4 -4 2 4 4 0 6 2 4 6 -4 2 2 2 2 6 6 -2 -8 4 -10 28 8 2 0 10 10 -4 4 -2 4 4 -2 0 -2 -2 10 4 4 -2 8
0 -2 -6 6 -6 -2 -4 -8 -4 6 2 2 -4 -8 -4 -4 8 2 4 -4 2 -2 6 2 0 -4 0 2 6 -2 6 2 2 0 -2 -4 -6 -4 2 -12 -4 -2 -2 -6 8 26 6 2 -4 -4 2 -1 2 2 9 5 6 1 -2 1 3 2 -2 10
-4 -2 4 4 -2 4 -2 -2 0 6 2 2 0 -8 -4 0 4 4 0 -6 0 -2 4 0 -8 -6 -2 0 6 0 6 2 4 0 0 -4 -4 0 4 0 -4 -2 -6 0 2 6 22 4 -4 -6 0 -7 4 0 5 -1 2 5 -2 7 1 2 6 6
0 -4 2 2 -2 -2 0 0 2 0 0 8 -4 -2 2 -2 2 2 0 0 4 2 2 -2 -4 -2 2 -2 2 2 4 4 2 0 0 4 0 -2 2 -2 0 2 -4 2 0 2 4 16 -6 -6 2 2 0 -2 0 -2 2 2 -4 -2 6 2 0 0
4 -2 -6 -6 4 8 4 -4 0 4 0 -4 4 2 2 2 -4 0 0 -4 -4 -8 0 8 2 2 2 0 -4 6 -2 0 4 -4 4 0 0 0 -2 10 -2 -4 10 0 10 -4 -4 -6 28 14 -4 2 -12 2 0 6 -4 0 8 4 -4 -2 0 -2
2 2 -6 2 8 2 2 -4 0 4 -2 -8 2 4 4 2 -2 0 0 -2 -2 -4 0 6 2 0 6 0 -4 4 0 0 2 -2 2 4 -2 6 0 8 -2 -2 6 -6 10 -4 -6 -6 14 24 -4 4 -6 6 -4 4 4 -2 6 4 -6 0 4 2
-4 4 2 -2 -6 -8 4 -4 4 -4 -4 6 2 0 -2 4 0 -4 0 4 8 4 0 0 2 0 4 -2 -2 6 -2 -2 4 -4 0 4 0 -4 -2 -4 2 2 -4 -2 -4 2 0 2 -4 -4 24 -6 4 -4 0 -8 0 0 2 -12 2 2 2 0
6 -6 -2 6 2 -4 -4 0 2 -6 -2 4 4 6 -2 2 -2 0 4 2 4 6 4 -6 8 4 0 -4 -6 6 -4 0 -6 2 -8 4 -2 2 0 2 6 0 -2 5 4 -1 -7 2 2 4 -6 30 -7 4 -7 1 0 -3 -1 4 8 -1 -2 -1
-6 -4 4 0 -4 -6 0 4 -2 -2 -2 -2 -4 -4 0 -4 0 -4 0 4 0 2 -4 -2 -4 -6 4 0 6 -4 2 4 -2 4 0 -2 0 4 -2 -6 2 0 -4 0 -2 2 4 0 -12 -6 4 -7 26 0 11 1 0 5 -4 -3 -1 0 0 2
0 -4 -2 4 8 2 0 -2 -2 4 2 0 0 2 2 -2 4 2 -2 -4 -2 -2 0 2 2 -2 2 -2 2 2 0 -2 2 -4 -2 -2 -2 4 2 2 -4 -6 2 0 4 2 0 -2 2 6 -4 4 0 16 -2 6 6 2 2 4 2 8 0 -2
-4 -8 -4 -6 -6 2 4 2 -2 2 0 -2 -6 -6 -4 -2 -2 -2 -2 -4 -4 -6 -2 2 -4 -2 4 2 10 -6 4 4 0 -2 0 -2 2 0 -8 -10 -2 -4 6 -1 4 9 5 0 0 -4 0 -7 11 -2 30 10 -2 8 -3 -7 -5 -7 2 3
-2 -8 -8 -6 4 0 -4 -4 -10 4 0 -4 -6 2 2 -4 8 -4 4 -2 -2 -6 -2 2 6 -6 0 -4 4 -6 2 0 0 0 -6 -4 -2 2 -10 -8 -6 0 6 1 -2 5 -1 -2 6 4 -8 1 1 6 10 30 8 4 9 3 -5 -5 0 -3
-2 0 -4 6 4 -4 -4 -8 -4 4 4 0 -8 4 4 -8 12 0 0 -8 8 0 4 0 0 -4 4 -4 4 0 4 0 0 -4 -6 0 0 -2 0 -6 -2 -4 0 -10 0 6 2 2 -4 4 0 0 0 6 -2 8 24 -8 2 0 0 8 -2 0
0 -6 2 -6 6 2 6 2 -2 4 -4 0 2 -6 -6 4 -4 2 0 0 -8 -6 -4 4 -6 -4 2 -2 4 0 2 4 6 0 6 -4 -2 10 -2 0 -6 -2 4 7 -2 1 5 2 0 -2 0 -3 5 2 8 4 -8 26 -1 -3 -1 -1 8 1
-4 0 -6 -4 0 0 -2 -6 -4 6 -2 2 6 6 0 2 4 -4 0 0 -2 -4 0 6 8 0 -2 0 -6 0 -8 -8 2 -2 -4 0 0 -2 -6 -2 -2 -2 4 0 -2 -2 -2 -4 8 6 2 -1 -4 2 -3 9 2 -1 22 3 -1 -8 0 -2
4 -2 6 6 -2 6 -6 -6 -4 6 6 -2 4 2 4 -4 6 6 4 -4 -2 -2 4 0 -2 -2 -6 2 -2 2 0 -6 2 0 -2 -4 -2 6 4 8 -6 -2 -2 3 10 1 7 -2 4 4 -12 4 -3 4 -7 3 0 -3 3 34 6 3 0 -3
-2 -6 0 6 -4 2 0 -2 8 2 4 10 4 -2 0 -4 2 8 -4 -2 4 4 4 0 0 -2 -2 4 0 10 -2 -4 4 -4 -2 0 2 -2 6 -2 -2 -2 -4 1 4 3 1 6 -4 -6 2 8 -1 2 -5 -5 0 -1 -1 6 22 7 -4 5
-2 -2 6 6 6 2 -2 -4 6 2 8 2 -4 -2 4 -4 4 10 -2 -6 6 4 8 -2 -4 -4 4 -2 4 4 6 2 2 -4 4 -2 -2 0 10 2 -4 -2 -6 -4 4 2 2 2 -2 0 2 -1 0 8 -7 -5 8 -1 -8 3 7 26 -2 2
0 0 2 0 4 0 2 2 0 2 -2 -4 4 -4 -4 4 0 2 0 -2 -2 -2 0 0 -2 -4 2 0 0 2 4 0 2 2 4 -2 -4 8 2 6 0 0 -6 2 -2 -2 6 0 0 4 2 -2 0 0 2 0 -2 8 0 0 -4 -2 16 2
-8 0 -8 8 -2 4 0 0 8 4 0 0 0 -8 -6 2 -4 6 -2 -2 0 2 4 2 2 -2 2 6 4 0 4 4 2 0 0 -2 0 -6 4 -8 2 0 -2 -12 8 10 6 0 -2 2 0 -1 2 -2 3 -3 0 1 -2 -3 5 2 2 26
-
BASIS
64 64
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
-
PROPERTIES
INTEGRAL =1
-
NOTES
The sandwiched Barnes Wall lattice, overlattice of BW64 denser than BW64.
constructed as a sublattice
of Gamma643 using BASIS. GRAM gives a reduced Gram matrix, not compatible
with the automorphism group of Gamma643
-
REFERENCES
Hu/Nebe
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe