The Lattice 33MIN3
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 13:08:33 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIM
DET
MINIMAL_NORM
KISSING_NUMBER
NOTES
GRAM
LAST_LINE
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NAME
33MIN3
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DIM
33
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DET
1
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MINIMAL_NORM
3
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KISSING_NUMBER
704
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NOTES
Found by EMR and NJAS using random walk on nbr graph.
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GRAM
33 33
3 1 0 0 1 0 0 0 1 -1 0 1 0 0 1 0 -1 1 0 1 0 0 -1 0 0 0 -1 2 0 1 0 -2 0
1 3 -1 1 1 0 -1 1 -1 -1 0 -1 1 -1 -1 0 1 1 -1 1 1 0 0 1 1 1 0 1 -1 -1 0 -1 0
0 -1 3 0 0 0 0 0 1 0 -1 0 -1 0 1 1 0 0 1 0 -1 0 1 -1 0 0 0 0 1 1 1 1 0
0 1 0 3 0 -1 0 1 -1 0 -1 -1 0 0 0 0 0 -1 0 -1 0 -1 1 1 0 1 1 -1 -1 0 0 0 0
1 1 0 0 3 0 0 0 1 0 0 0 0 -1 0 0 0 1 0 1 0 0 -1 -1 0 1 -1 1 0 1 1 -1 1
0 0 0 -1 0 3 1 -1 0 0 0 1 0 1 0 -1 0 0 -1 1 1 0 0 1 1 0 0 0 1 0 -1 0 -1
0 -1 0 0 0 1 3 -1 1 1 -1 0 0 1 1 -1 -1 -1 0 -1 0 -1 0 0 -1 1 0 0 0 1 -1 0 -1
0 1 0 1 0 -1 -1 3 0 0 1 -1 -1 0 -1 1 -1 1 0 0 0 1 1 1 0 0 1 -1 0 1 1 1 1
1 -1 1 -1 1 0 1 0 4 0 0 1 -1 -1 2 1 -2 1 1 1 -2 0 0 -2 -2 0 -1 1 2 2 1 -1 1
-1 -1 0 0 0 0 1 0 0 4 1 0 -1 0 -1 0 0 0 -1 -1 0 2 0 0 0 1 0 -1 0 2 0 0 0
0 0 -1 -1 0 0 -1 1 0 1 4 1 -1 0 -1 1 -1 2 -1 1 1 2 -1 0 0 -1 -1 0 0 1 0 0 1
1 -1 0 -1 0 1 0 -1 1 0 1 4 0 1 1 -1 -1 1 -1 0 1 0 -2 -1 -1 0 -1 0 1 1 -1 -2 1
0 1 -1 0 0 0 0 -1 -1 -1 -1 0 4 0 -1 -2 2 0 -2 0 0 -1 -2 0 0 1 -1 1 0 -2 -1 -1
1
0 -1 0 0 -1 1 1 0 -1 0 0 1 0 4 0 -2 -1 -1 -1 -1 1 -1 0 1 1 -1 0 -1 0 1 -1 1 -1
1 -1 1 0 0 0 1 -1 2 -1 -1 1 -1 0 4 1 -1 0 2 0 -1 -2 0 -2 -2 0 -1 1 0 1 1 -1 -1
0 0 1 0 0 -1 -1 1 1 0 1 -1 -2 -2 1 4 -1 1 2 1 -1 1 1 -1 -1 -1 0 0 0 1 2 0 0
-1 1 0 0 0 0 -1 -1 -2 0 -1 -1 2 -1 -1 -1 4 0 -1 0 0 0 0 0 1 1 0 1 0 -2 0 0 -1
1 1 0 -1 1 0 -1 1 1 0 2 1 0 -1 0 1 0 4 -1 1 0 1 -1 -1 -1 0 -1 1 1 1 1 -1 1
0 -1 1 0 0 -1 0 0 1 -1 -1 -1 -2 -1 2 2 -1 -1 4 0 -1 -1 1 -1 -1 -1 1 0 -1 0 2 1
-1
1 1 0 -1 1 1 -1 0 1 -1 1 0 0 -1 0 1 0 1 0 4 -1 1 0 0 1 -1 -1 2 1 0 0 -1 0
0 1 -1 0 0 1 0 0 -2 0 1 1 0 1 -1 -1 0 0 -1 -1 4 0 -1 1 1 1 0 -1 -2 -1 -1 0 0
0 0 0 -1 0 0 -1 1 0 2 2 0 -1 -1 -2 1 0 1 -1 1 0 4 0 1 1 0 0 0 1 1 0 0 1
-1 0 1 1 -1 0 0 1 0 0 -1 -2 -2 0 0 1 0 -1 1 0 -1 0 4 1 1 -1 2 -1 1 0 0 2 -2
0 1 -1 1 -1 1 0 1 -2 0 0 -1 0 1 -2 -1 0 -1 -1 0 1 1 1 4 2 0 2 -1 0 -1 -1 1 -1
0 1 0 0 0 1 -1 0 -2 0 0 -1 0 1 -2 -1 1 -1 -1 1 1 1 1 2 4 -1 0 0 0 -1 -1 1 -1
0 1 0 1 1 0 1 0 0 1 -1 0 1 -1 0 -1 1 0 -1 -1 1 0 -1 0 -1 4 0 0 -1 0 0 -1 1
-1 0 0 1 -1 0 0 1 -1 0 -1 -1 -1 0 -1 0 0 -1 1 -1 0 0 2 2 0 0 4 -2 0 -1 0 2 -1
2 1 0 -1 1 0 0 -1 1 -1 0 0 1 -1 1 0 1 1 0 2 -1 0 -1 -1 0 0 -2 4 0 0 0 -2 -1
0 -1 1 -1 0 1 0 0 2 0 0 1 0 0 0 0 0 1 -1 1 -2 1 1 0 0 -1 0 0 5 1 0 0 0
1 -1 1 0 1 0 1 1 2 2 1 1 -2 1 1 1 -2 1 0 0 -1 1 0 -1 -1 0 -1 0 1 5 1 -1 0
0 0 1 0 1 -1 -1 1 1 0 0 -1 -1 -1 1 2 0 1 2 0 -1 0 0 -1 -1 0 0 0 0 1 5 0 0
-2 -1 1 0 -1 0 0 1 -1 0 0 -2 -1 1 -1 0 0 -1 1 -1 0 0 2 1 1 -1 2 -2 0 -1 0 5 0
0 0 0 0 1 -1 -1 1 1 0 1 1 1 -1 -1 0 -1 1 -1 0 0 1 -2 -1 -1 1 -1 -1 0 0 0 0 5
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe