The Lattice S4(5):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 13:20:30 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS (elementary divisors)
MINIMAL_NORM
PROPERTIES
REFERENCES
LAST_LINE
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NAME
S4(5):2
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DIMENSION
26
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GRAM
26 0
5
1 5
-1 0 5
1 1 -1 5
1 0 1 1 5
1 1 -1 1 -1 5
0 0 -1 -1 -1 1 5
1 0 -1 -1 -1 -1 0 5
1 1 1 0 -1 1 1 -1 5
0 1 1 1 1 -1 -1 -1 1 5
1 -1 -1 1 1 -1 -1 1 -1 -1 5
0 1 1 -1 0 -1 -1 1 1 1 1 5
1 1 1 1 -1 1 -1 -1 1 1 -1 -1 5
0 -1 1 -1 -1 1 -1 0 1 1 -1 1 1 5
0 1 -1 0 -1 1 0 1 -1 1 -1 1 0 1 5
1 1 0 1 -1 1 0 1 1 0 -1 -1 0 0 1 5
0 0 -1 1 -1 0 1 1 -1 -1 1 -1 0 -1 -1 -1 5
-1 1 1 -1 1 -1 -1 1 -1 0 -1 1 1 -1 1 -1 -1 5
1 1 1 1 1 -1 1 0 1 1 1 1 -1 -1 -1 -1 1 -1 5
0 -1 -1 1 1 1 -1 0 -1 1 0 0 -1 1 1 1 -1 -1 -1 5
-1 0 -1 -1 -1 -1 1 1 -1 0 1 0 -1 -1 0 -1 1 1 1 -1 5
-1 1 1 -1 1 1 1 -1 1 0 0 1 -1 0 0 -1 -1 1 1 1 1 5
0 1 0 -1 1 0 0 1 -1 -1 1 -1 -1 -1 0 1 1 1 -1 -1 1 1 5
-1 -1 -1 -1 1 -1 1 -1 -1 1 1 -1 -1 0 0 -1 -1 -1 -1 1 1 1 1 5
-1 -1 1 0 1 -1 0 -1 1 1 0 1 1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 1 5
-1 0 -1 0 -1 1 0 0 1 0 -1 1 0 1 -1 -1 1 1 -1 1 1 1 -1 -1 1 5
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DIVISORS (elementary divisors)
5^13
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MINIMAL_NORM
5
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PROPERTIES
MODULAR = 5
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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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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe