The Lattice A2xA4#
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 13:16:08 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
NOTES
REFERENCES
LAST_LINE
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NAME
A2xA4#
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DIMENSION
8
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GRAM
8
8 -2 -2 -2 -4 1 1 1
-2 8 -2 -2 1 -4 1 1
-2 -2 8 -2 1 1 -4 1
-2 -2 -2 8 1 1 1 -4
-4 1 1 1 8 -2 -2 -2
1 -4 1 1 -2 8 -2 -2
1 1 -4 1 -2 -2 8 -2
1 1 1 -4 -2 -2 -2 8
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DIVISORS
1 1 5 5 15 15 15 15
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MINIMAL_NORM
8
-
KISSING_NUMBER
30
-
GROUP_ORDER
1440
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GROUP_NAME
C2 x S5 x S3
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GROUP_GENERATORS
3
8
0 0 0 0 1 1 1 1
0 0 0 0 -1 0 0 0
0 0 0 0 0 -1 0 0
0 0 0 0 0 0 -1 0
-1 -1 -1 -1 -1 -1 -1 -1
1 0 0 0 1 0 0 0
0 1 0 0 0 1 0 0
0 0 1 0 0 0 1 0
8
0 0 0 0 1 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
8
0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 0 0 0 0 1 0 0
0 0 0 0 1 0 0 0
0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 1
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NOTES
Called F_18 by Plesken & Pohst, (A4 tensor A2)^{+25} in LDL II (see references)
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REFERENCES
Plesken & Pohst, Math. Comp. 34 (1980), 259-275.
Conway-Sloane, "Low-Dimensional Lattices II: Subgroups of GL(n,Z)",
Proc. Royal Soc. London, A 419 (1988), 29-68.
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Haftungsausschluss/Disclaimer
Gabriele Nebe