The Lattice N(3A8)
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 13:20:45 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DETERMINANT
MINIMAL_NORM
KISSING_NUMBER
DENSITY
HERMITE_NUMBER
GROUP_ORDER
GRAM
BASIS
ROOT_SYSTEM
NOTES
LAST_LINE
-
NAME
N(3A8)
-
DIMENSION
24
-
DETERMINANT
1
-
MINIMAL_NORM
2
-
KISSING_NUMBER
216
-
DENSITY
.596E-07
-
HERMITE_NUMBER
2
-
GROUP_ORDER
2^23 * 3^13 * 5^3 * 7^3
-
GRAM
24 0
2
-1 2
0 0 2
0 0 1 2
0 0 0 -1 2
0 -1 0 0 1 2
0 0 0 0 -1 -1 2
0 0 0 0 0 0 0 2
0 0 0 0 0 0 0 -1 2
0 0 0 0 0 0 0 0 -1 2
0 0 0 0 0 0 0 0 -1 1 2
0 0 0 0 0 0 0 0 0 0 0 2
0 0 0 0 0 0 0 0 0 0 0 1 2
0 0 0 0 0 0 0 0 0 0 0 1 1 2
0 0 0 0 0 0 0 0 0 0 0 -1 0 0 2
1 -1 1 0 1 1 -1 0 1 -1 -1 -1 -1 -1 0 4
1 -1 -1 -1 1 1 0 0 1 -1 -1 1 0 0 -1 1 4
1 -1 -1 -1 1 1 -1 -1 1 -1 0 0 0 0 0 1 2 4
1 -1 -1 -1 1 1 -1 0 0 0 0 1 0 1 0 0 2 2 4
1 -1 -1 -1 1 1 -1 0 0 0 0 1 0 1 0 0 2 2 3 4
0 1 0 0 1 0 -1 1 -1 1 0 1 1 1 0 -1 0 -1 1 1 4
0 1 0 1 -1 -1 0 1 -1 0 0 1 1 1 0 -2 -1 -1 0 0 2 4
1 -1 0 1 -1 0 0 0 1 -1 -1 1 1 1 0 0 1 1 1 1 0 1 4
1 -1 0 1 -1 0 0 -1 1 0 0 1 0 0 -1 0 1 1 1 1 -1 0 2 4
-
BASIS
24 27
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-
ROOT_SYSTEM
3A8
-
NOTES
One of the 24 even unimodular lattices in dimension 24 (the Niemeier lattices)
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe