The Lattice J2:2
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 13:20:04 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS (elementary divisors)
MINIMAL_NORM
REFERENCES
NOTES
LAST_LINE
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NAME
J2:2
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DIMENSION
28
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GRAM
28 0
8
-4 8
-4 0 8
-2 4 2 8
-4 2 4 4 8
-4 4 0 0 2 8
0 2 2 0 2 0 8
1 2 1 4 0 0 2 8
3 0 -1 -2 -4 -2 0 2 8
3 -4 1 -2 -2 -2 -2 -2 0 8
-2 2 -2 2 2 0 0 0 -2 -2 8
2 -2 2 0 -2 -2 0 0 2 2 -2 8
0 2 -2 -2 0 4 0 0 0 0 0 -4 8
-2 4 0 0 0 2 0 -2 2 -2 -2 0 2 8
-3 -1 4 -2 0 1 0 -1 1 2 0 2 0 -1 8
-2 -2 0 -2 2 2 0 -4 -4 0 2 -1 -1 -2 2 8
1 2 -3 -2 -3 0 2 1 4 -2 0 -2 2 3 -1 -2 8
1 -1 1 -1 -2 -3 2 -1 0 2 -2 0 -2 0 -1 0 2 8
-2 0 1 -2 2 0 0 -4 -1 0 -1 -1 0 3 0 1 -1 1 8
4 -2 -2 0 -3 -4 -2 2 4 0 -1 2 -2 0 -2 -4 0 -1 -1 8
-3 2 -1 2 1 2 0 -1 -3 -2 2 0 -2 0 0 2 -1 -2 0 -1 8
2 -3 1 1 2 -1 0 0 -3 2 -1 2 -2 -2 -1 1 -4 -2 1 1 1 8
2 2 0 3 1 -2 2 1 2 -1 -1 2 -2 3 -2 -2 1 1 0 2 0 0 8
-4 3 2 3 4 4 2 1 -4 -2 2 -2 0 0 0 3 -2 -1 0 -4 2 1 0 8
-4 0 2 0 0 0 -2 -3 -1 1 2 2 -2 0 4 2 -1 0 0 -2 3 -2 -2 0 8
0 -1 0 -1 -1 -2 -1 0 2 0 3 0 0 0 2 0 0 0 0 2 -2 -2 1 -1 0 8
-4 4 2 1 0 1 1 1 1 -1 2 -2 1 2 2 -1 2 1 0 -1 0 -4 -1 2 2 2 8
0 -2 2 2 0 -4 -3 0 -1 2 0 2 -2 0 0 -2 -2 0 0 2 -1 1 0 -2 2 1 1 8
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DIVISORS (elementary divisors)
3^2*5^14
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MINIMAL_NORM
8
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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
Has extremal 5-modular overlattice invariant under J2.
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe