The Lattice A10^(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 13:09:08 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
PROPERTIES
NOTES
REFERENCE
THETA_SERIES
KISSING_NUMBER
LAST_LINE
-
NAME
A10^(3)
-
DIMENSION
10
-
GRAM
10 10
6 -1 1 -3 -2 -2 -2 -2 2 -1
-1 6 2 -1 -1 2 -2 2 -3 2
1 2 6 -3 0 2 0 -2 0 3
-3 -1 -3 6 2 1 0 0 -2 -1
-2 -1 0 2 6 2 3 -2 -2 -2
-2 2 2 1 2 6 2 -2 -1 0
-2 -2 0 0 3 2 6 -1 0 -2
-2 2 -2 0 -2 -2 -1 6 -2 0
2 -3 0 -2 -2 -1 0 -2 6 0
-1 2 3 -1 -2 0 -2 0 0 6
-
DIVISORS
1 1 1 1 1 11 11 11 11 11
-
MINIMAL_NORM
6
-
GROUP_ORDER
2640
-
GROUP_NAME
C2 x PGL(2,11)
-
GROUP_GENERATORS
2
10
1 1 0 1 1 0 1 1 1 1
0 0 0 0 0 0 0 0 1 0
1 0 1 1 1 0 0 1 1 0
-2 -1 0 -1 -1 0 -1 -1 -1 -1
-1 -1 0 -1 0 0 -1 -1 -1 0
0 -1 0 0 0 1 -1 0 0 0
0 -1 0 -1 0 1 -1 0 -1 0
0 0 -1 -1 0 0 0 0 0 0
1 1 0 1 0 0 1 0 0 0
0 1 1 1 0 -1 0 0 1 -1
10
2 1 0 1 1 0 1 1 1 1
0 -1 -1 -1 0 1 0 0 -1 1
1 0 0 1 0 0 1 1 0 1
-1 -1 0 -1 -1 0 -1 -1 -1 -1
-1 0 1 0 -1 -1 0 -1 -1 -1
0 -1 0 0 0 0 0 0 -1 0
-1 0 1 0 0 -1 0 0 0 -1
-1 -1 0 -1 0 1 -1 0 0 0
1 1 0 1 1 0 0 1 1 0
0 0 -1 0 0 0 0 0 0 1
-
PROPERTIES
INTEGRAL=1
MODULAR=11
-
NOTES
The Craig lattice A_10^(3)
-
REFERENCE
SPLAG
-
THETA_SERIES
1,0,0,110,330,462,1320,2640,3960,7150,9240,15840,20900,29040,36960,
53614,66330,87120,104280,134640,158532
-
KISSING_NUMBER
110
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe