The Lattice ANABASIC_11
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 13:10:09 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
GRAM
PROPERTIES
NOTES
REFERENCES
LAST_LINE
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NAME
ANABASIC_11
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DIMENSION
11
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DET
2*5^6*11^6*61^4 = 766523497743781250
-
MINIMAL_NORM
6
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KISSING_NUMBER
24
-
GRAM
11 11
60 5 5 5 5 5 -12 -12 -12 -12 -7
5 60 5 5 5 5 -12 -12 -12 -12 -7
5 5 60 5 5 5 -12 -12 -12 -12 -7
5 5 5 60 5 5 -12 -12 -12 -12 -7
5 5 5 5 60 5 -12 -12 -12 -12 -7
5 5 5 5 5 60 -12 -12 -12 -12 -7
-12 -12 -12 -12 -12 -12 60 -1 -1 -1 -13
-12 -12 -12 -12 -12 -12 -1 60 -1 -1 -13
-12 -12 -12 -12 -12 -12 -1 -1 60 -1 -13
-12 -12 -12 -12 -12 -12 -1 -1 -1 60 -13
-7 -7 -7 -7 -7 -7 -13 -13 -13 -13 96
-
PROPERTIES
INTEGRAL =1
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NOTES
Generated by its minimal vectors but no subset of 11 of them is a base.
Not perfect: s=12 < n(n+1)/2=66
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REFERENCES
J. H. Conway and N. J. A. Sloane,
A Lattice Without a Basis of Minimal Vectors,
Mathematika volume 42 1995 pages 175-177.
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe