The Lattice L2(13)S3.2
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 13:20:07 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS (elementary divisors)
MINIMAL_NORM
PROPERTIES
REFERENCES
NOTES
LAST_LINE
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NAME
L2(13)S3.2
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DIMENSION
28
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GRAM
28 0
22
9 22
9 8 22
3 9 9 22
9 9 7 5 22
9 3 2 4 6 22
9 9 9 8 9 9 22
6 2 7 3 3 8 7 22
9 8 9 9 9 9 9 8 22
6 8 -4 7 4 11 9 7 6 22
6 6 6 9 5 5 2 2 3 5 22
3 3 5 10 11 3 6 9 9 5 1 22
9 5 4 0 6 10 2 10 4 5 3 3 22
11 4 9 3 8 2 2 5 6 -1 10 4 8 22
6 6 9 7 11 5 3 3 7 4 2 10 7 9 22
6 11 7 3 6 3 9 10 4 4 0 9 10 5 6 22
3 6 8 7 8 1 6 0 1 1 -2 4 5 2 9 6 22
4 4 6 9 0 5 5 11 10 10 3 9 -1 1 5 2 -3 22
7 3 7 3 4 10 9 10 1 3 2 5 7 3 1 6 6 1 22
0 3 -4 4 5 8 0 4 9 10 0 7 8 0 5 0 0 5 0 22
1 7 5 5 6 3 3 -1 0 4 10 3 7 10 8 8 2 0 2 4 22
-1 3 3 8 3 0 5 1 9 2 4 6 -3 2 2 3 3 4 3 1 2 22
10 9 6 3 3 0 0 4 7 0 4 3 9 6 0 9 1 0 3 6 3 6 22
10 9 5 3 3 5 6 9 1 7 3 3 7 1 0 9 -3 6 3 4 3 -5 10 22
7 9 3 7 2 8 8 0 3 9 8 1 1 8 6 3 6 4 8 0 10 3 -3 -3 22
7 2 1 3 2 0 -2 5 6 6 8 4 7 10 5 4 -1 5 1 5 5 2 5 0 5 22
8 3 2 10 5 9 8 6 9 9 9 7 3 5 -4 0 0 6 8 8 1 4 6 6 5 9 22
6 0 2 5 7 7 4 5 0 7 10 5 9 5 2 3 -2 1 8 1 10 3 3 4 2 4 7 22
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DIVISORS (elementary divisors)
3^14*13^14
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MINIMAL_NORM
22
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PROPERTIES
MODULAR = 39
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REFERENCES
G. Nebe: Finite subgroups of GL_n(Q) for 25 <= n <= 31. Comm. Alg. 24(7), 2341-2397 (1996)
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NOTES
Strongly 39-modular.
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe