The Lattice LAMBDA13_MIN
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 13:18:27 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
GRAM
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
PROPERTIES
NOTES
REFERENCES
LAST_LINE
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NAME
LAMBDA13_MIN
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DIMENSION
13
-
DET
1024
-
GRAM
13 0
4
2 4
0 -2 4
0 -2 0 4
0 0 -2 0 4
-2 -2 0 0 0 4
0 0 0 0 0 -2 4
0 0 0 0 0 0 -2 4
0 0 0 0 1 -1 0 0 4
0 0 0 0 -1 0 0 0 0 4
-1 -2 1 1 0 1 0 -1 0 1 4
0 -1 0 0 1 0 1 0 0 1 1 4
0 0 0 0 0 0 0 0 0 -1 -1 0 4
-
DIVISORS
2^2*4^2*16
-
MINIMAL_NORM
4
-
KISSING_NUMBER
888
-
PROPERTIES
INTEGRAL =1
-
NOTES
A laminated lattice.
There are three inequivalent 13-dim. laminated lattices; this is Lambda^{min}_13,
the one with the smallest kissing number.
-
REFERENCES
1. SPLAG p. 157.
2. W.Plesken, M.Pohst, Constructing integral lattices with prescribed minimum II,
Math. Comp. Vol 60, N. 202 (1993) 817-825
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe