The Lattice DualExtremal(16,10)e
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 13:28:10 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)e
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DIMENSION (required)
16
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GRAM (floating point or integer Gram matrix)
16
22 17 -17 17 -10 10 -22 2 -27 -2 -11 3 6 9 -7 -10
17 26 -13 13 -10 10 -17 -3 -29 -1 -5 3 5 8 -6 -10
-17 -13 26 -16 10 -10 17 -7 30 3 12 -8 -7 -5 13 20
17 13 -16 26 0 0 -7 7 -20 7 -2 -2 7 5 -13 -10
-10 -10 10 0 20 -10 20 0 20 10 10 -10 0 0 0 0
10 10 -10 0 -10 20 -20 0 -20 -10 -10 10 0 0 0 -10
-22 -17 17 -7 20 -20 42 8 37 12 21 -13 -6 -9 7 10
2 -3 -7 7 0 0 8 22 3 -2 9 -7 -4 -1 3 0
-27 -29 30 -20 20 -20 37 3 58 -1 18 -18 -3 -11 19 30
-2 -1 3 7 10 -10 12 -2 -1 26 5 -3 -10 7 -9 -10
-11 -5 12 -2 10 -10 21 9 18 5 22 -14 -7 -1 5 10
3 3 -8 -2 -10 10 -13 -7 -18 -3 -14 22 -1 -9 -3 -10
6 5 -7 7 0 0 -6 -4 -3 -10 -7 -1 22 1 -5 0
9 8 -5 5 0 0 -9 -1 -11 7 -1 -9 1 22 -8 -10
-7 -6 13 -13 0 0 7 3 19 -9 5 -3 -5 -8 26 20
-10 -10 20 -10 0 -10 10 0 30 -10 10 -10 0 -10 20 40
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DIVISORS (elementary divisors)
10^14
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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
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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