The Lattice 3.S7
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 13:20:17 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS (elementary divisors)
MINIMAL_NORM
REFERENCES
LAST_LINE
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NAME
3.S7
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DIMENSION
30
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GRAM
30 0
10
4 10
4 2 10
4 4 4 10
4 4 4 2 10
2 0 1 2 1 10
5 2 2 2 2 4 10
1 2 1 1 1 2 2 10
2 2 2 2 4 1 1 0 10
2 2 -1 2 1 4 4 2 1 10
1 1 1 1 2 2 2 0 5 2 10
2 4 4 4 4 1 1 1 2 1 1 10
2 2 -1 2 1 4 4 4 2 4 4 1 10
2 2 2 5 1 4 4 2 1 4 2 2 4 10
4 4 -2 4 2 2 2 2 4 2 2 2 5 2 10
4 0 2 4 2 5 2 1 2 2 1 2 2 2 4 10
1 1 2 2 1 2 2 2 2 2 4 0 2 4 1 1 10
1 1 1 1 2 4 2 2 2 4 4 1 2 2 1 2 2 10
2 1 2 1 0 4 4 2 1 2 2 1 2 2 1 2 4 2 10
2 2 2 2 2 1 1 1 2 2 1 4 1 1 2 2 1 0 1 10
1 2 1 0 1 -2 -1 0 1 -1 2 2 2 0 1 -4 4 -1 0 0 10
4 2 2 2 2 0 2 2 1 0 -1 2 0 1 0 0 1 2 0 -4 2 10
4 2 4 2 0 2 2 1 2 1 1 2 1 1 2 4 2 1 5 2 0 0 10
2 2 2 2 4 2 1 1 4 2 2 2 1 1 2 4 1 5 1 0 -2 1 2 10
2 2 4 4 2 1 1 1 4 1 2 0 1 2 2 2 5 1 2 2 2 -1 4 2 10
2 0 0 0 0 0 4 1 2 2 1 -2 0 0 0 0 1 -1 0 1 0 2 0 -2 -1 10
1 1 1 2 1 0 -1 1 -2 0 2 1 0 -2 0 0 0 2 2 2 2 1 1 -2 0 1 10
4 4 -2 4 2 2 2 1 2 5 1 2 2 2 4 4 1 2 1 4 -2 0 2 4 2 1 0 10
2 1 0 0 -2 4 4 1 2 0 1 -1 2 0 1 2 0 0 4 -1 0 2 2 0 0 4 0 0 10
1 2 1 1 1 2 2 4 1 4 2 1 2 2 1 1 4 0 4 0 0 -1 2 0 2 -1 -2 2 0 10
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DIVISORS (elementary divisors)
3^15*7^12
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MINIMAL_NORM
10
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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