The Lattice A19*
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 13:10:25 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIM
GRAM
MINIMAL_NORM
DET
DIVISORS
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
PROPERTIES
NOTES
REFERENCES
LAST_LINE
-
NAME
A19*
-
DIM
19
-
GRAM
19 19
19 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1
-1 19 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1
-1 -1 19 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1
-1 -1 -1 19 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 19 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 19 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 19 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 19 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 19 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 19 -1 -1
-1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 19 -1
-1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 19
-1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
19 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 19 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 19 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 19 -1 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 19 -1 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 19 -1
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
-1 -1 -1 -1 -1 -1 19
-
MINIMAL_NORM
19
-
DET
262144000000000000000000
-
DIVISORS
1 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
-
KISSING_NUMBER
40
-
GROUP_ORDER
4865804016353280000
-
GROUP_NAME
C2 x S20
-
GROUP_GENERATORS
2
19
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 -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 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 1
19
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 -1
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 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 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
-
PROPERTIES
INTEGRAL=1
-
NOTES
Dual to A19
-
REFERENCES
SPLAG p. 114
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe