The Lattice 25MIN2a
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 13:08:24 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIM
DET
KISSING_NUMBER
GROUP_ORDER
NOTES
GRAM
LAST_LINE
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NAME
25MIN2a
-
DIM
25
-
DET
1
-
KISSING_NUMBER
92
-
GROUP_ORDER
-
NOTES
Borcherds has classified all 25-d unimodular lattices.
This has kissing number 92.
-
GRAM
25 25
2 0 1 0 0 -1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 -1 0 1 -1 -1
0 2 0 0 -1 0 0 -1 0 0 -1 0 0 0 0 0 0 1 0 0 -1 0 0 0 0
1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 -1
0 0 0 2 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 -1 1 -1 0 1
0 -1 0 0 3 0 0 1 0 0 0 -1 1 -1 0 0 0 1 0 1 1 0 -1 1 0
-1 0 0 0 0 3 0 -1 1 0 1 0 -1 -1 -1 0 -1 0 0 0 1 0 0 0 2
0 0 0 0 0 0 3 1 0 0 1 -1 -1 1 0 0 -1 0 1 1 0 0 0 0 0
0 -1 0 1 1 -1 1 3 -1 1 0 0 0 0 1 0 0 0 1 1 0 0 -1 0 0
0 0 0 0 0 1 0 -1 3 0 0 0 -1 -1 -2 0 0 0 -1 0 0 -1 0 0 1
0 0 0 1 0 0 0 1 0 3 -1 1 -1 -1 -1 0 0 0 0 1 -1 0 -1 0 1
0 -1 0 0 0 1 1 0 0 -1 3 -1 0 1 0 0 0 -1 1 -1 1 1 1 -1 1
0 0 0 1 -1 0 -1 0 0 1 -1 3 -1 0 0 1 0 -1 0 0 -1 0 0 0 0
0 0 0 0 1 -1 -1 0 -1 -1 0 -1 3 0 1 0 1 1 0 -1 0 1 0 1 -1
1 0 0 0 -1 -1 1 0 -1 -1 1 0 0 3 1 0 0 0 1 0 -1 1 1 -1 -1
0 0 0 0 0 -1 0 1 -2 -1 0 0 1 1 3 0 0 0 1 0 0 0 0 0 -1
0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 3 1 0 1 0 0 0 1 1 -1
1 0 1 0 0 -1 -1 0 0 0 0 0 1 0 0 1 3 0 0 -1 0 1 1 -1 -1
0 1 0 0 1 0 0 0 0 0 -1 -1 1 0 0 0 0 3 0 1 -1 0 -1 1 0
0 0 0 0 0 0 1 1 -1 0 1 0 0 1 1 1 0 0 3 1 0 0 1 0 0
0 0 0 0 1 0 1 1 0 1 -1 0 -1 0 0 0 -1 1 1 3 0 -1 -1 1 0
-1 -1 0 -1 1 1 0 0 0 -1 1 -1 0 -1 0 0 0 -1 0 0 3 0 0 0 0
0 0 0 1 0 0 0 0 -1 0 1 0 1 1 0 0 1 0 0 -1 0 3 0 -1 0
1 0 1 -1 -1 0 0 -1 0 -1 1 0 0 1 0 1 1 -1 1 -1 0 0 3 -1 -1
-1 0 0 0 1 0 0 0 0 0 -1 0 1 -1 0 1 -1 1 0 1 0 -1 -1 4 0
-1 0 -1 1 0 2 0 0 1 1 1 0 -1 -1 -1 -1 -1 0 0 0 0 0 -1 0 4
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe