The Lattice M30,2
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 13:20:18 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
M30,2
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DIMENSION
30
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GRAM
30 0
15
3 15
4 5 15
5 5 1 15
3 3 3 3 15
5 1 4 3 1 15
5 2 5 4 4 1 15
3 1 4 1 3 -3 3 15
5 1 3 1 -1 -1 3 5 15
3 5 0 1 0 3 3 0 5 15
3 3 1 3 5 3 3 1 5 3 15
-3 0 0 5 3 -3 3 5 3 -3 3 15
3 4 4 3 4 3 3 3 3 1 5 3 15
3 0 1 1 3 5 3 -1 1 -1 4 5 3 15
3 5 2 3 3 5 -1 -5 -1 3 1 -3 -2 3 15
3 1 3 -3 1 3 3 4 1 -1 3 1 3 4 -3 15
3 3 3 -3 -1 -1 -1 -1 5 0 3 1 0 1 3 3 15
-3 1 -2 3 1 -3 1 2 3 3 3 3 5 -1 -3 3 0 15
4 1 3 3 5 4 3 3 1 -1 0 2 0 3 3 1 3 -3 15
1 4 1 5 -3 3 4 -1 5 4 3 3 3 3 1 1 -1 3 -1 15
4 4 4 0 5 3 -2 3 1 3 3 -3 3 -3 3 0 1 -3 3 -1 15
3 1 3 -1 1 5 0 1 3 -1 -1 -1 5 3 0 3 3 1 1 -3 1 15
0 3 -1 3 -3 3 0 3 1 1 3 5 -3 2 3 3 3 -2 3 1 -3 -1 15
5 3 1 1 0 4 1 3 0 -3 3 -1 3 2 1 5 0 0 2 1 3 3 3 15
3 0 1 3 3 3 3 0 1 3 3 0 2 3 5 3 -1 3 1 3 -3 0 0 1 15
1 3 3 3 1 -1 5 -1 3 -3 5 3 1 2 5 3 3 3 3 3 0 -1 3 4 1 15
3 1 1 4 3 1 3 3 0 -1 2 2 1 -1 3 3 1 0 3 4 3 -3 5 5 2 4 15
1 1 -1 4 5 -1 3 3 1 -1 4 3 1 -3 0 0 0 -1 -3 1 1 1 1 -1 1 -1 3 15
4 1 3 4 1 1 1 5 3 1 4 3 1 5 0 1 -1 3 3 5 5 -3 -1 5 2 3 2 -5 15
4 4 3 -4 1 -1 5 3 1 3 -3 -1 0 1 3 3 5 -1 3 -2 -3 3 3 3 3 1 0 -1 -3 15
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DIVISORS (elementary divisors)
29^15
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MINIMAL_NORM
15
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PROPERTIES
MODULAR = 29
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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