The Lattice 25MIN2
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 13:08:26 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
25MIN2
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DIM
25
-
DET
1
-
KISSING_NUMBER
2
-
GROUP_ORDER
-
NOTES
Borcherds has classified all 25-d unimodular lattices.
This (Leech + Z) has the smallest kissing number.
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GRAM
25 25
8 4 4 4 4 4 4 2 4 4 4 2 4 2 2 2 4 2 2 2 0 0 0 -3 0
4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 1 1 2 1 0 0 -1 0
4 2 4 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 1 1 0 0 -1 0
4 2 2 4 2 2 2 2 2 2 2 2 2 1 1 2 2 1 2 1 1 0 0 -1 0
4 2 2 2 4 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 1 0 0 -1 0
4 2 2 2 2 4 2 2 2 2 2 1 2 2 1 1 2 1 2 1 0 0 0 -1 0
4 2 2 2 2 2 4 2 2 2 2 1 2 1 2 1 2 1 1 2 0 0 0 -1 0
2 2 2 2 2 2 2 4 1 1 1 2 1 2 2 2 1 2 2 2 2 0 0 1 0
4 2 2 2 2 2 2 1 4 2 2 2 2 2 2 2 2 2 2 2 1 1 1 -1 0
4 2 2 2 2 2 2 1 2 4 2 2 2 2 1 1 2 2 1 1 0 1 0 -1 0
4 2 2 2 2 2 2 1 2 2 4 2 2 1 2 1 2 1 2 1 0 0 1 -1 0
2 2 2 2 1 1 1 2 2 2 2 4 1 2 2 2 1 2 2 2 2 1 1 1 0
4 2 2 2 2 2 2 1 2 2 2 1 4 2 2 2 2 1 1 1 1 1 1 -1 0
2 2 1 1 2 2 1 2 2 2 1 2 2 4 2 2 1 2 2 2 2 2 1 1 0
2 1 2 1 2 1 2 2 2 1 2 2 2 2 4 2 1 2 2 2 2 1 2 1 0
2 1 1 2 2 1 1 2 2 1 1 2 2 2 2 4 1 2 2 2 2 1 1 1 0
4 2 2 2 2 2 2 1 2 2 2 1 2 1 1 1 4 2 2 2 1 1 1 -1 0
2 1 2 1 2 1 1 2 2 2 1 2 1 2 2 2 2 4 2 2 2 2 1 1 0
2 1 1 2 2 2 1 2 2 1 2 2 1 2 2 2 2 2 4 2 2 1 2 1 0
2 2 1 1 2 1 2 2 2 1 1 2 1 2 2 2 2 2 2 4 2 1 1 1 0
0 1 1 1 1 0 0 2 1 0 0 2 1 2 2 2 1 2 2 2 4 2 2 2 0
0 0 0 0 0 0 0 0 1 1 0 1 1 2 1 1 1 2 1 1 2 4 2 2 0
0 0 0 0 0 0 0 0 1 0 1 1 1 1 2 1 1 1 2 1 2 2 4 2 0
-3 -1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 1 1 1 -1 1 1 1 2 2 2 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 1
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe