The Lattice DualExtremal(16,10)a
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 13:28:15 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)
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NAME (required)
DualExtremal(16,10)a
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DIMENSION (required)
16
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GRAM (floating point or integer Gram matrix)
16
18 14 -10 -1 -7 8 -3 -7 -4 -2 1 6 -4 -8 -6 3
14 28 -10 -10 -4 12 -8 -14 4 -10 0 -2 -12 -12 2 -4
-10 -10 20 10 10 0 10 0 0 0 0 0 0 10 0 0
-1 -10 10 26 0 3 9 10 1 12 -6 3 3 17 -3 5
-7 -4 10 0 22 9 9 -8 3 0 10 -9 -9 1 9 -13
8 12 0 3 9 22 5 -11 4 -4 7 -4 -14 -2 4 -11
-3 -8 10 9 9 5 14 -1 -5 8 1 -1 -1 5 1 -6
-7 -14 0 10 -8 -11 -1 22 3 10 -10 1 11 21 -1 7
-4 4 0 1 3 4 -5 3 18 -8 -1 -8 -8 6 8 -7
-2 -10 0 12 0 -4 8 10 -8 24 -12 -4 6 14 -6 0
1 0 0 -6 10 7 1 -10 -1 -12 26 7 -3 -17 13 -5
6 -2 0 3 -9 -4 -1 1 -8 -4 7 22 12 -6 -2 11
-4 -12 0 3 -9 -14 -1 11 -8 6 -3 12 22 4 -2 11
-8 -12 10 17 1 -2 5 21 6 14 -17 -6 4 42 -4 1
-6 2 0 -3 9 4 1 -1 8 -6 13 -2 -2 -4 22 -11
3 -4 0 5 -13 -11 -6 7 -7 0 -5 11 11 1 -11 22
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DIVISORS (elementary divisors)
10^14
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MINIMAL_NORM
12
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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
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PROPERTIES
INTEGRAL = 1 (lattices are real unless stated otherwise)
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REFERENCES
Boecherer, Nebe: On theta series attached to maximal lattices and their adjoints.
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NOTES
The dual of a maximal integral lattice of level 10
with highest possible minimum.
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URL (links to other sites for this lattice)
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LAST_LINE (required)
Haftungsausschluss/Disclaimer
Gabriele Nebe