The Lattice C2 x G(2,3)
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 13:21:48 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
PROPERTIES
REFERENCES
LAST_LINE
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NAME
C2 x G(2,3)
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DIMENSION
14
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GRAM
14 14
4 1 1 1 1 1 1 1 1 1 1 1 1 1
1 4 1 -1 1 1 -1 -1 -1 -1 1 1 -1 1
1 1 4 1 -1 1 1 -1 -1 -1 -1 1 1 -1
1 -1 1 4 1 -1 1 1 -1 -1 -1 -1 1 1
1 1 -1 1 4 1 -1 1 1 -1 -1 -1 -1 1
1 1 1 -1 1 4 1 -1 1 1 -1 -1 -1 -1
1 -1 1 1 -1 1 4 1 -1 1 1 -1 -1 -1
1 -1 -1 1 1 -1 1 4 1 -1 1 1 -1 -1
1 -1 -1 -1 1 1 -1 1 4 1 -1 1 1 -1
1 -1 -1 -1 -1 1 1 -1 1 4 1 -1 1 1
1 1 -1 -1 -1 -1 1 1 -1 1 4 1 -1 1
1 1 1 -1 -1 -1 -1 1 1 -1 1 4 1 -1
1 -1 1 1 -1 -1 -1 -1 1 1 -1 1 4 1
1 1 -1 1 1 -1 -1 -1 -1 1 1 -1 1 4
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DIVISORS
1 1 1 1 1 1 1 3 3 3 3 3 3 3
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MINIMAL_NORM
4
-
KISSING_NUMBER
756
-
GROUP_ORDER
8491392
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GROUP_NAME
C2 x G(2,3)
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GROUP_GENERATORS
2
14
1 0 0 0 0 -1 -1 0 -1 1 -1 0 -1 -1
0 1 0 1 0 -1 0 -1 1 1 0 0 -1 -1
0 0 -1 1 0 1 -1 0 -1 1 0 1 0 -1
1 0 0 -1 0 0 -1 1 -1 0 0 -1 1 -1
1 0 1 0 -1 -1 -1 0 1 0 0 -1 -1 0
0 0 0 1 -1 0 -1 0 0 1 0 0 -1 0
0 0 -1 0 0 0 0 0 -1 0 0 0 1 -1
0 -1 1 -1 1 -1 0 0 0 0 0 0 0 0
0 -1 1 0 0 0 -1 0 0 0 0 0 -1 1
0 0 0 0 0 0 0 0 -1 0 0 0 0 0
0 0 0 0 1 -1 1 -1 0 0 0 0 0 -1
0 -1 0 0 1 0 0 -1 0 0 0 1 -1 0
0 0 0 0 0 1 -1 1 -1 0 0 0 0 0
1 1 0 0 0 -1 0 0 0 0 0 -1 0 -1
14
-1 0 -1 0 0 1 1 0 0 -1 0 1 1 1
-1 0 1 -1 1 0 1 1 0 0 0 0 1 1
-1 0 0 0 0 0 1 0 1 0 0 0 0 1
0 -1 0 0 0 0 0 -1 0 0 0 1 -1 1
0 0 0 -1 1 0 0 0 -1 0 0 0 1 0
0 1 -1 0 0 0 1 0 0 0 -1 0 1 0
0 0 -1 1 -1 1 0 0 0 0 -1 1 -1 1
0 0 -1 0 0 1 0 0 -1 0 0 1 0 0
0 1 -1 0 0 0 0 0 0 0 0 0 1 -1
1 0 -1 0 -1 0 0 0 0 -1 -1 0 0 0
0 0 0 0 -1 1 0 1 0 -1 0 0 0 1
-1 0 0 0 0 1 0 1 0 0 1 0 1 0
0 -1 0 0 0 0 0 -1 1 -1 1 0 0 0
0 -1 1 -1 0 0 0 0 0 -1 0 0 0 1
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PROPERTIES
INTEGRAL=1
MODULAR=3
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REFERENCES
ATLAS of Finite Groups, page 60.
Conway-Sloane, On lattices equivalent to their duals, J. Number Theory,
48 (1994), 373-382, esp. p. 381.
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe