The Lattice OBW16*
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 May 17 10:36:42 CEST 2019
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME (required)
DIMENSION (required)
DET
GRAM
DIVISORS (elementary divisors)
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
NOTES
LAST_LINE (required)
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NAME (required)
OBW16*
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DIMENSION (required)
16
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DET
1024
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GRAM
4 -2 0 0 0 0 0 0 -1 0 -2 -1 -1 -2 -2 1
-2 6 0 2 2 -2 0 -2 -2 2 1 3 3 -1 -1 2
0 0 4 2 -2 -2 -2 -2 -1 -2 -2 1 1 0 0 1
0 2 2 4 0 -2 -2 -2 -1 0 -1 2 2 -1 -1 1
0 2 -2 0 4 1 1 1 -1 1 1 1 1 0 0 1
0 -2 -2 -2 1 4 2 2 2 0 1 -2 -2 2 2 -2
0 0 -2 -2 1 2 4 2 1 2 2 0 0 1 1 -1
0 -2 -2 -2 1 2 2 4 2 0 2 -1 -1 1 1 -2
-1 -2 -1 -1 -1 2 1 2 4 0 2 -2 -1 2 1 -2
0 2 -2 0 1 0 2 0 0 4 2 1 1 -1 -1 0
-2 1 -2 -1 1 1 2 2 2 2 4 0 1 1 1 -1
-1 3 1 2 1 -2 0 -1 -2 1 0 4 2 -1 0 1
-1 3 1 2 1 -2 0 -1 -1 1 1 2 4 0 -1 2
-2 -1 0 -1 0 2 1 1 2 -1 1 -1 0 4 2 -1
-2 -1 0 -1 0 2 1 1 1 -1 1 0 -1 2 4 -2
1 2 1 1 1 -2 -1 -2 -2 0 -1 1 2 -1 -2 4
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DIVISORS (elementary divisors)
2^10
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MINIMAL_NORM
4
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KISSING_NUMBER
2016
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GROUP_ORDER
2^18 * 3^4 * 5 * 7
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GROUP_NAME
D8D8D8D8.S6(2)
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NOTES
Dual of overlattice of the Barnes Wall lattice BW16 found by J. Martinet.
Its minimal vectors form a 5-design.
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LAST_LINE (required)
Haftungsausschluss/Disclaimer
Gabriele Nebe