The Lattice Qp1766
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 13:26:12 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
NOTES
REFERENCES
LAST_LINE
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NAME
Qp1766
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DIMENSION
17
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GRAM
17 17
11 2 2 -4 -4 -7 -1 2 5 5 2 -1 -7 -4 -4 2 2
2 11 2 2 -4 -4 -7 -1 2 5 5 2 -1 -7 -4 -4 2
2 2 11 2 2 -4 -4 -7 -1 2 5 5 2 -1 -7 -4 -4
-4 2 2 11 2 2 -4 -4 -7 -1 2 5 5 2 -1 -7 -4
-4 -4 2 2 11 2 2 -4 -4 -7 -1 2 5 5 2 -1 -7
-7 -4 -4 2 2 11 2 2 -4 -4 -7 -1 2 5 5 2 -1
-1 -7 -4 -4 2 2 11 2 2 -4 -4 -7 -1 2 5 5 2
2 -1 -7 -4 -4 2 2 11 2 2 -4 -4 -7 -1 2 5 5
5 2 -1 -7 -4 -4 2 2 11 2 2 -4 -4 -7 -1 2 5
5 5 2 -1 -7 -4 -4 2 2 11 2 2 -4 -4 -7 -1 2
2 5 5 2 -1 -7 -4 -4 2 2 11 2 2 -4 -4 -7 -1
-1 2 5 5 2 -1 -7 -4 -4 2 2 11 2 2 -4 -4 -7
-7 -1 2 5 5 2 -1 -7 -4 -4 2 2 11 2 2 -4 -4
-4 -7 -1 2 5 5 2 -1 -7 -4 -4 2 2 11 2 2 -4
-4 -4 -7 -1 2 5 5 2 -1 -7 -4 -4 2 2 11 2 2
2 -4 -4 -7 -1 2 5 5 2 -1 -7 -4 -4 2 2 11 2
2 2 -4 -4 -7 -1 2 5 5 2 -1 -7 -4 -4 2 2 11
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DIVISORS
1 3 3 3 3 3 3 3 3 6 6 6 6 6 6 6 6
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MINIMAL_NORM
8
-
KISSING_NUMBER
102
-
GROUP_ORDER
32640
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GROUP_NAME
C2 x L(2,16):C4
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GROUP_GENERATORS
2
17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 -1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
0 0
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0
0 0
0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
0 0
0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0
0 0
0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0
0 0
0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0
0 0
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
0 0
0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0
0 0
0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
0 0
0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0
0 0
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0
0 0
0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
0 0
0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0
-1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0
17
1 2 1 -1 -1 1 2 1 0 -1 0 1 1 1 0
-1 0
-1 -2 -1 1 2 1 -1 -2 0 2 2 0 -2 -2 1
2 1
1 -1 -1 -1 1 2 1 -1 -2 0 1 2 0 -2 -1
0 2
1 0 -1 -1 -1 0 1 0 -1 -1 -1 1 1 -1 -1
-1 0
0 1 0 -1 -1 -1 1 1 0 -1 -2 0 1 1 -1
-2 -1
0 0 0 0 0 -1 -1 0 0 0 -1 -1 0 0 0
0 -1
0 1 1 0 -1 -1 0 1 1 0 -1 -1 1 2 0
-1 -1
-1 1 2 1 -1 -2 -1 1 2 0 -1 -2 0 2 2
0 -2
-1 0 1 1 1 0 -1 0 1 2 1 -1 -1 1 2
1 0
0 -1 0 1 1 1 0 -1 0 1 2 1 -1 -1 1
2 1
1 -1 -2 -1 1 2 1 -1 -2 0 2 2 0 -2 -1
0 2
1 0 -1 -1 0 1 1 0 -1 -1 0 2 1 -1 -1
0 1
0 -1 -1 0 0 0 0 0 -1 0 0 0 0 -1 -1
0 0
1 1 -1 -1 -1 0 1 0 -1 -2 -1 1 1 0 -2
-1 0
0 1 0 -1 -1 -1 0 1 0 -1 -1 -1 1 1 -1
-1 -1
-1 1 2 1 -1 -1 -1 1 2 0 -1 -2 0 2 1
0 -2
-2 -1 1 2 1 -1 -2 -1 1 2 1 -2 -2 0 2
2 0
-
NOTES
Called F_7(vi) by Plesken, Q'_17(6)^{+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