The Lattice DualExtremal(16,10)b
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 13:28:14 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME (required)
DIMENSION (required)
GRAM (floating point or integer Gram matrix)
DIVISORS (elementary divisors)
MINIMAL_NORM
THETA_SERIES
PROPERTIES
REFERENCES
NOTES
URL (links to other sites for this lattice)
LAST_LINE (required)
-
NAME (required)
DualExtremal(16,10)b
-
DIMENSION (required)
16
-
GRAM (floating point or integer Gram matrix)
16
22 -20 -12 12 9 -1 -10 22 6 -13 -3 19 1 10 -5 15
-20 40 20 -10 -20 -10 10 -30 0 10 0 -30 -10 -10 10 -20
-12 20 22 -2 -9 1 10 -22 -6 3 -7 -19 -1 -20 5 -5
12 -10 -2 22 9 9 0 2 -4 -13 -13 19 1 10 -5 5
9 -20 -9 9 22 12 -10 16 0 -7 3 16 4 10 -3 13
-1 -10 1 9 12 22 0 -4 -10 -7 -7 16 4 0 -3 3
-10 10 10 0 -10 0 20 -10 -10 0 -10 0 0 -10 -10 0
22 -30 -22 2 16 -4 -10 48 10 -16 4 28 2 10 -14 34
6 0 -6 -4 0 -10 -10 10 24 -6 4 8 -8 0 4 6
-13 10 3 -13 -7 -7 0 -16 -6 26 16 -33 3 0 12 -22
-3 0 -7 -13 3 -7 -10 4 4 16 26 -23 3 10 12 -12
19 -30 -19 19 16 16 0 28 8 -33 -23 74 -4 10 -31 31
1 -10 -1 1 4 4 0 2 -8 3 3 -4 14 0 1 -1
10 -10 -20 10 10 0 -10 10 0 0 10 10 0 40 0 -10
-5 10 5 -5 -3 -3 -10 -14 4 12 12 -31 1 0 26 -16
15 -20 -5 5 13 3 0 34 6 -22 -12 31 -1 -10 -16 46
-
DIVISORS (elementary divisors)
10^14
-
MINIMAL_NORM
12
-
THETA_SERIES
1 + 6*q^12 + 72*q^14 + 54*q^16 + 432*q^18 + 42*q^20 + 1728*q^22 + 1008*q^24 +
5472*q^26 + 3078*q^28 + 2472*q^30 + 7650*q^32 + 35424*q^34 + 17916*q^36 +
77472*q^38 + 6120*q^40
-
PROPERTIES
INTEGRAL = 1 (lattices are real unless stated otherwise)
-
REFERENCES
Boecherer, Nebe: On theta series attached to maximal lattices and their adjoints.
-
NOTES
The dual of a maximal integral lattice of level 10
with highest possible minimum.
-
URL (links to other sites for this lattice)
-
LAST_LINE (required)
Haftungsausschluss/Disclaimer
Gabriele Nebe