The Lattice LAMBDA12_MID
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 13:18:20 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
GRAM
DIVISORS
MINIMAL_NORM
PROPERTIES
NOTES
KISSING_NUMBER
REFERENCES
LAST_LINE
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NAME
LAMBDA12_MID
-
DIMENSION
12
-
DET
1024
-
GRAM
12 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
0 0 0 0 0 0 0 0 -2 0 4
0 1 -2 0 1 0 0 -1 1 0 0 4
-
DIVISORS
2^2*4^4
-
MINIMAL_NORM
4
-
PROPERTIES
INTEGRAL =1
-
NOTES
A laminated lattice.
There are three inequivalent 12-dim. laminated lattices; this is Lambda^{mid}_12,
the one with the mid-ranked kissing number.
-
KISSING_NUMBER
632
-
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
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe