The Lattice A17*
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 13:10:23 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIM
GRAM
DET
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
PROPERTIES
NOTES
REFERENCES
LAST_LINE
-
NAME
A17*
-
DIM
17
-
GRAM
17 17
17 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1
-1 17 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1
-1 -1 17 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1
-1 -1 -1 17 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1
-1 -1 -1 -1 17 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1
-1 -1 -1 -1 -1 17 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 17 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 17 -1 -1 -1 -1
-1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 17 -1 -1 -1
-1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 17 -1 -1
-1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 17 -1
-1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 17
-1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
17 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 17 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 17 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 17 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 17
-
DET
121439531096594251776
-
DIVISORS
1 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18
-
MINIMAL_NORM
17
-
KISSING_NUMBER
36
-
GROUP_ORDER
12804747411456000
-
GROUP_NAME
C2 x S18
-
GROUP_GENERATORS
2
17
0 -1 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 0 -1 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 0 -1 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 0 -1 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 0 -1 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 0 -1 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 0 -1 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 0
-1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 -1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1
17
1 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 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 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 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0
-
PROPERTIES
INTEGRAL=1
-
NOTES
Dual to A17
-
REFERENCES
SPLAG p. 114
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe