The Lattice O22d
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 May 17 14:33:06 CEST 2019
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
GRAM
GROUP_ORDER
GROUP_NAME
INTEGRAL =1
NOTES
LAST_LINE
-
NAME
O22d
-
DIMENSION
22
-
DET
3^21
-
MINIMAL_NORM
8
-
KISSING_NUMBER
1782
-
GRAM
22 22
9 -3 -3 0 0 3 3 0 3 -3 -3 0 -3 0 0 0 0 -3 3 3 -3 3
-3 9 0 3 0 0 0 3 -3 -3 3 3 3 -3 3 -3 -3 3 -3 -3 3 0
-3 0 9 3 0 -3 0 3 3 3 3 3 3 3 0 -3 0 0 -3 3 0 0
0 3 3 9 3 -3 0 3 0 -3 0 0 3 -3 3 0 -3 3 0 3 3 0
0 0 0 3 9 0 3 -3 0 0 0 0 -3 -3 -3 3 3 0 -3 0 0 -3
3 0 -3 -3 0 9 3 0 0 -3 -3 3 0 -3 -3 0 0 -3 0 0 0 3
3 0 0 0 3 3 9 -3 0 0 -3 0 0 -3 0 -3 3 -3 -3 0 -3 3
0 3 3 3 -3 0 -3 9 3 -3 3 3 3 0 3 -3 -3 3 0 3 3 3
3 -3 3 0 0 0 0 3 9 0 0 3 0 3 0 -3 3 -3 0 3 -3 0
-3 -3 3 -3 0 -3 0 -3 0 9 0 0 -3 3 0 0 3 0 -3 0 -3 -3
-3 3 3 0 0 -3 -3 3 0 0 9 3 0 3 0 0 0 3 -3 0 0 0
0 3 3 0 0 3 0 3 3 0 3 9 0 0 0 -3 0 0 -3 0 0 0
-3 3 3 3 -3 0 0 3 0 -3 0 0 9 0 3 -3 -3 0 0 0 3 3
0 -3 3 -3 -3 -3 -3 0 3 3 3 0 0 9 0 0 0 -3 0 0 -3 0
0 3 0 3 -3 -3 0 3 0 0 0 0 3 0 9 -3 -3 3 0 0 0 3
0 -3 -3 0 3 0 -3 -3 -3 0 0 -3 -3 0 -3 9 0 0 3 0 0 -3
0 -3 0 -3 3 0 3 -3 3 3 0 0 -3 0 -3 0 8 -2 -2 -1 -4 -3
-3 3 0 3 0 -3 -3 3 -3 0 3 0 0 -3 3 0 -2 8 -1 1 4 0
3 -3 -3 0 -3 0 -3 0 0 -3 -3 -3 0 0 0 3 -2 -1 8 1 1 0
3 -3 3 3 0 0 0 3 3 0 0 0 0 0 0 0 -1 1 1 8 -1 3
-3 3 0 3 0 0 -3 3 -3 -3 0 0 3 -3 0 0 -4 4 1 -1 8 0
3 0 0 0 -3 3 3 3 0 -3 0 0 3 0 3 -3 -3 0 0 3 0 9
-
GROUP_ORDER
2^17 3^6 5 7 11 = 36787322880
-
GROUP_NAME
(U(6,2)xC2).2
-
INTEGRAL =1
-
NOTES
dual of O22
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe