The Lattice O8+(2):S3
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 13:19:53 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
O8+(2):S3
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DIMENSION
28
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GRAM
28 0
4
-2 4
-1 -1 4
1 -2 -1 4
-2 2 0 0 4
-2 1 2 -1 2 4
-2 2 -1 -1 2 0 4
-2 1 -1 1 1 0 2 4
-2 0 1 1 2 2 1 2 4
1 1 0 -1 -1 -1 0 -1 -1 4
-2 1 2 -2 1 2 0 0 1 -1 4
-2 0 2 -1 0 1 1 1 1 -1 2 4
-2 0 2 -1 0 1 1 1 1 -1 2 2 4
-1 -1 1 1 1 0 0 1 2 -1 1 1 0 4
1 0 0 -1 0 -1 1 0 -1 1 -1 0 0 0 4
-2 2 0 -2 0 0 2 1 0 1 1 2 1 0 0 4
-2 2 0 -2 0 0 2 1 0 1 1 1 2 -1 0 2 4
-2 1 1 0 1 1 1 2 1 0 1 1 1 1 0 1 1 4
-1 1 -1 -1 0 -1 1 1 -1 -1 0 0 0 0 0 1 1 0 4
1 1 -1 0 1 -1 0 -1 -1 1 -1 -2 -2 0 1 -1 -1 -1 1 4
-1 -1 0 2 0 0 0 2 2 -1 0 0 1 1 -1 -1 0 1 0 -1 4
1 1 -1 -1 -1 0 -1 -1 -2 1 -1 -2 -1 -2 0 0 0 -1 1 1 -1 4
-1 0 -1 0 1 0 1 1 1 -2 1 1 0 1 0 0 0 -1 1 0 1 -1 4
0 -1 2 -1 0 1 -1 -1 0 -1 1 0 1 0 0 -1 0 0 1 0 0 0 0 4
-2 2 0 -2 1 1 1 0 0 0 1 0 0 0 0 1 1 0 2 1 0 1 1 0 4
-2 2 1 -2 2 1 2 0 1 1 2 1 1 1 0 2 2 1 0 0 -1 -1 0 0 1 4
-1 1 -1 1 0 0 0 2 0 -1 0 1 0 0 -1 1 0 1 1 -1 1 0 0 -1 0 -1 4
-1 -1 1 0 -1 1 -1 0 0 -2 1 1 2 0 -1 0 0 0 0 -2 1 0 0 1 0 -1 1 4
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DIVISORS (elementary divisors)
2^2
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MINIMAL_NORM
4
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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
Even sublattice of Lambda^2(E8).
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe