The Lattice LAMBDA25
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 13:19:04 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
BASE (on a different scale from rest of this file)
GRAM
PROPERTIES
NOTES
KISS
MINIMAL_NORM
DET
LAST_LINE
-
NAME
LAMBDA25
-
DIMENSION
25
-
BASE (on a different scale from rest of this file)
25 25
8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0
2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0
2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0
2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0
2 0 2 0 2 0 0 2 2 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0
2 0 0 2 2 2 0 0 2 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0
2 2 0 0 2 0 2 0 2 0 0 2 0 0 0 0 2 0 0 2 0 0 0 0 0
0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0
0 0 0 0 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0
0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0
-3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0
2 0 -2 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4
-
GRAM
25 25
16 8 8 8 8 8 8 4 8 8 8 4 8 4 4 4
8 4 4 4 0 0 0 -6 4
8 8 4 4 4 4 4 4 4 4 4 4 4 4 2 2
4 2 2 4 2 0 0 -2 2
8 4 8 4 4 4 4 4 4 4 4 4 4 2 4 2
4 4 2 2 2 0 0 -2 0
8 4 4 8 4 4 4 4 4 4 4 4 4 2 2 4
4 2 4 2 2 0 0 -2 2
8 4 4 4 8 4 4 4 4 4 4 2 4 4 4 4
4 4 4 4 2 0 0 -2 4
8 4 4 4 4 8 4 4 4 4 4 2 4 4 2 2
4 2 4 2 0 0 0 -2 2
8 4 4 4 4 4 8 4 4 4 4 2 4 2 4 2
4 2 2 4 0 0 0 -2 2
4 4 4 4 4 4 4 8 2 2 2 4 2 4 4 4
2 4 4 4 4 0 0 2 0
8 4 4 4 4 4 4 2 8 4 4 4 4 4 4 4
4 4 4 4 2 2 2 -2 2
8 4 4 4 4 4 4 2 4 8 4 4 4 4 2 2
4 4 2 2 0 2 0 -2 2
8 4 4 4 4 4 4 2 4 4 8 4 4 2 4 2
4 2 4 2 0 0 2 -2 2
4 4 4 4 2 2 2 4 4 4 4 8 2 4 4 4
2 4 4 4 4 2 2 2 0
8 4 4 4 4 4 4 2 4 4 4 2 8 4 4 4
4 2 2 2 2 2 2 -2 2
4 4 2 2 4 4 2 4 4 4 2 4 4 8 4 4
2 4 4 4 4 4 2 2 2
4 2 4 2 4 2 4 4 4 2 4 4 4 4 8 4
2 4 4 4 4 2 4 2 1
4 2 2 4 4 2 2 4 4 2 2 4 4 4 4 8
2 4 4 4 4 2 2 2 1
8 4 4 4 4 4 4 2 4 4 4 2 4 2 2 2
8 4 4 4 2 2 2 -2 2
4 2 4 2 4 2 2 4 4 4 2 4 2 4 4 4
4 8 4 4 4 4 2 2 0
4 2 2 4 4 4 2 4 4 2 4 4 2 4 4 4
4 4 8 4 4 2 4 2 2
4 4 2 2 4 2 4 4 4 2 2 4 2 4 4 4
4 4 4 8 4 2 2 2 2
0 2 2 2 2 0 0 4 2 0 0 4 2 4 4 4
2 4 4 4 8 4 4 4 0
0 0 0 0 0 0 0 0 2 2 0 2 2 4 2 2
2 4 2 2 4 8 4 4 0
0 0 0 0 0 0 0 0 2 0 2 2 2 2 4 2
2 2 4 2 4 4 8 4 0
-6 -2 -2 -2 -2 -2 -2 2 -2 -2 -2 2 -2 2 2 2
-2 2 2 2 4 4 4 8 -2
4 2 0 2 4 2 2 0 2 2 2 0 2 2 1 1
2 0 2 2 0 0 0 -2 8
-
PROPERTIES
INTEGRAL =1
-
NOTES
A laminated lattice LAMBDA25, constructed as in Sect. 7, Chap. 6 of SPLAG,
at scale at which it is integral.
The theta series of this lattice is given by sequence A024211.
-
KISS
196656
-
MINIMAL_NORM
8
-
DET
67108864
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe