The Lattice Qp1761
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 13:26:07 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GRAM
PROPERTIES
NOTES
REFERENCES
LAST_LINE
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NAME
Qp1761
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DIMENSION
17
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DET
3072
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DIVISORS
1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 12
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MINIMAL_NORM
4
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KISSING_NUMBER
1326
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GRAM
17 17
4 1 -1 1 1 -1 0 2 1 1 2 0 -1 1 1 -1 1
1 4 1 -1 1 1 -1 0 2 1 1 2 0 -1 1 1 -1
-1 1 4 1 -1 1 1 -1 0 2 1 1 2 0 -1 1 1
1 -1 1 4 1 -1 1 1 -1 0 2 1 1 2 0 -1 1
1 1 -1 1 4 1 -1 1 1 -1 0 2 1 1 2 0 -1
-1 1 1 -1 1 4 1 -1 1 1 -1 0 2 1 1 2 0
0 -1 1 1 -1 1 4 1 -1 1 1 -1 0 2 1 1 2
2 0 -1 1 1 -1 1 4 1 -1 1 1 -1 0 2 1 1
1 2 0 -1 1 1 -1 1 4 1 -1 1 1 -1 0 2 1
1 1 2 0 -1 1 1 -1 1 4 1 -1 1 1 -1 0 2
2 1 1 2 0 -1 1 1 -1 1 4 1 -1 1 1 -1 0
0 2 1 1 2 0 -1 1 1 -1 1 4 1 -1 1 1 -1
-1 0 2 1 1 2 0 -1 1 1 -1 1 4 1 -1 1 1
1 -1 0 2 1 1 2 0 -1 1 1 -1 1 4 1 -1 1
1 1 -1 0 2 1 1 2 0 -1 1 1 -1 1 4 1 -1
-1 1 1 -1 0 2 1 1 2 0 -1 1 1 -1 1 4 1
1 -1 1 1 -1 0 2 1 1 2 0 -1 1 1 -1 1 4
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PROPERTIES
INTEGRAL=1
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NOTES
Called F_2(vi) by Plesken, Q'_17(6) in LDL II (see references)
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REFERENCES
Plesken, J. Algebra, vol. 97 (1985) pp. 286-312
Conway-Sloane, "Low-Dimensional Lattices II: Subgroups of GL(n,Z)",
Proc. Royal Soc. London, A 419 (1988), 29-68.
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe