The Lattice M23d
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 15:11:49 CEST 2019
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
GRAM
GROUP_ORDER
GROUP_NAME
PROPERTIES
NOTES
REFERENCES
LAST_LINE
-
NAME
M23d
-
DIMENSION
23
-
DET
6^22
-
MINIMAL_NORM
15
-
KISSING_NUMBER
552
-
GRAM
23 23
24 12 -12 -12 6 -12 -12 6 -12 -12 -12 12 -6 -12 6 0 -12 -12 0 -12 6 -12 -12
12 24 0 -12 0 0 -12 -6 -12 0 -12 12 0 -12 0 -6 0 0 -6 0 6 -12 -6
-12 0 24 12 -12 12 0 -6 12 0 12 0 0 0 -6 -6 12 12 0 12 6 0 0
-12 -12 12 23 -11 11 11 4 11 -1 12 -5 3 10 -3 -3 6 2 8 6 -5 7 -2
6 0 -12 -11 23 -5 1 -4 1 -5 -12 5 -3 2 -3 -3 0 -8 4 0 -7 5 8
-12 0 12 11 -5 23 11 -2 11 5 6 1 9 4 -9 -9 6 2 2 6 1 1 4
-12 -12 0 11 1 11 23 -2 11 5 6 -5 3 10 -3 -3 6 2 8 0 -5 13 4
6 -6 -6 4 -4 -2 -2 20 -2 -2 0 2 0 2 6 6 -12 -8 -2 -12 2 -4 -4
-12 -12 12 11 1 11 11 -2 23 -1 12 -5 -3 4 -9 -3 6 2 8 6 1 7 4
-12 0 0 -1 -5 5 5 -2 -1 23 0 -11 3 4 3 3 0 8 -10 6 1 7 4
-12 -12 12 12 -12 6 6 0 12 0 24 -6 0 0 -6 6 0 6 6 0 6 6 0
12 12 0 -5 5 1 -5 2 -5 -11 -6 23 -3 -4 -3 -3 0 -2 4 -6 5 -7 -4
-6 0 0 3 -3 9 3 0 -3 3 0 -3 15 6 -3 -3 0 0 0 0 -3 -3 6
-12 -12 0 10 2 4 10 2 4 4 0 -4 6 20 0 0 6 4 4 6 -10 8 8
6 0 -6 -3 -3 -9 -3 6 -9 3 -6 -3 -3 0 15 3 -6 0 -6 -6 3 -3 -6
0 -6 -6 -3 -3 -9 -3 6 -3 3 6 -3 -3 0 3 15 -6 0 0 -6 3 3 0
-12 0 12 6 0 6 6 -12 6 0 0 0 0 6 -6 -6 24 12 0 12 -6 6 6
-12 0 12 2 -8 2 2 -8 2 8 6 -2 0 4 0 0 12 20 -4 6 4 4 4
0 -6 0 8 4 2 8 -2 8 -10 6 4 0 4 -6 0 0 -4 20 0 -2 4 -2
-12 0 12 6 0 6 0 -12 6 6 0 -6 0 6 -6 -6 12 6 0 24 -6 6 6
6 6 6 -5 -7 1 -5 2 1 1 6 5 -3 -10 3 3 -6 4 -2 -6 23 -7 -10
-12 -12 0 7 5 1 13 -4 7 7 6 -7 -3 8 -3 3 6 4 4 6 -7 23 8
-12 -6 0 -2 8 4 4 -4 4 4 0 -4 6 8 -6 0 6 4 -2 6 -10 8 20
-
GROUP_ORDER
991533312000 = 2^11 3^7 5^3 7 11 23
-
GROUP_NAME
2.Co3
-
PROPERTIES
INTEGRAL =1
-
NOTES
Dual of M23
-
REFERENCES
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe