The Lattice A18
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 13:09:27 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
BASIS
GLUE_VECTORS
TRIANGULAR_BASIS
GRAM
PROPERTIES
LAST_LINE
-
NAME
A18
-
DIMENSION
18
-
DET
19
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 19
-
MINIMAL_NORM
2
-
KISSING_NUMBER
342
-
GROUP_ORDER
243290200817664000
-
GROUP_NAME
C2 x S19 = C2 x W(A18)
-
GROUP_GENERATORS
2
18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 -1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0
0 0 1
0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
0 0 1
0 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 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 -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 0 1
0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
0 0 1
0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0
0 0 1
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0
0 0 1
0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1
0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1
-1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1
18
-1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 -1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0
0 1 0
0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
0 1 0
0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0
0 1 0
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 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 -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
0 1 0
0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0
0 1 0
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0
0 1 0
0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0
0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0
-
BASIS
18 19
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GLUE_VECTORS
19
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TRIANGULAR_BASIS
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GRAM
18 18
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PROPERTIES
INTEGRAL =1
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe