The Lattice C2 x PSL(2,25):C2
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 13:21:44 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
C2 x PSL(2,25):C2
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DIMENSION
13
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GRAM
13
5 -1 -1 -1 1 -1 1 1 -1 1 -1 -1 -1
-1 5 -1 -1 -1 1 -1 1 1 -1 1 -1 -1
-1 -1 5 -1 -1 -1 1 -1 1 1 -1 1 -1
-1 -1 -1 5 -1 -1 -1 1 -1 1 1 -1 1
1 -1 -1 -1 5 -1 -1 -1 1 -1 1 1 -1
-1 1 -1 -1 -1 5 -1 -1 -1 1 -1 1 1
1 -1 1 -1 -1 -1 5 -1 -1 -1 1 -1 1
1 1 -1 1 -1 -1 -1 5 -1 -1 -1 1 -1
-1 1 1 -1 1 -1 -1 -1 5 -1 -1 -1 1
1 -1 1 1 -1 1 -1 -1 -1 5 -1 -1 -1
-1 1 -1 1 1 -1 1 -1 -1 -1 5 -1 -1
-1 -1 1 -1 1 1 -1 1 -1 -1 -1 5 -1
-1 -1 -1 1 -1 1 1 -1 1 -1 -1 -1 5
-
DIVISORS
1 2 2 2 2 2 2 2 2 10 10 10 10
-
MINIMAL_NORM
5
-
KISSING_NUMBER
52
-
GROUP_ORDER
31200
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GROUP_NAME
C2 x PSL(2,25):C2
-
GROUP_GENERATORS
2
13
-1 0 -1 -1 0 -1 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 1 0
0 -1 0 0 0 1 0 0 0 -1 0 -1 -1
0 1 0 0 0 -1 0 -1 -1 0 -1 0 0
1 0 1 0 0 0 -1 0 0 0 1 0 1
-1 0 0 0 1 0 1 1 0 1 0 0 0
0 0 -1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 -1 0 0
0 -1 0 -1 -1 0 -1 0 0 0 1 0 0
0 0 0 0 0 0 1 0 0 0 0 0 0
1 1 0 1 0 0 0 -1 0 0 0 1 0
0 0 1 0 1 1 0 1 0 0 0 -1 0
13
1 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 1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 1
0 -1 0 0 0 1 0 0 0 -1 0 -1 -1
0 0 0 0 0 0 -1 0 0 0 0 0 0
0 0 0 0 0 -1 0 0 0 0 0 0 0
0 0 0 -1 0 0 0 1 0 1 1 0 1
0 0 0 1 0 1 1 0 1 0 0 0 -1
0 0 0 0 0 0 0 0 0 0 -1 0 0
0 0 0 0 0 0 0 0 0 -1 0 0 0
0 -1 0 -1 -1 0 -1 0 0 0 1 0 0
0 0 0 1 0 0 0 0 0 0 0 0 0
-
NOTES
Called F_4(iv) by Plesken, Q_13(2)^{+2} 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