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 13:19:41 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
KISSING_NUMBER
NOTES
REFERENCES
MINIMAL_NORM
GRAM
LAST_LINE

• NAME
  MW44
  

• DIMENSION
  44
  

• DET
  148035889
  

• KISSING_NUMBER
  2708112
  

• NOTES
  A Mordell Weil lattice of Elkies and Shioda.
  Sent by Gabriele Nebe.
  

• REFERENCES
  Cf. p.21 in G. Nebe, Some cyclo-quaternionic lattices, J. Alg. 199 (1998), 472-498.
  

• MINIMAL_NORM
  8
  

• GRAM
  44 44
  8 -4 -3 -3 -2 1 -2 0 3 -1 -3 -4 2 -2 0 -4 0 1 -1 2 -2 1 -1 -2 -2 -3 2 3 -1 0 3 -1 0 -4 -2 3 2 -3 0 3 3 -4 3 2
  -4 8 0 2 0 -3 0 -1 -3 1 1 0 -2 1 0 1 -3 0 0 0 1 0 1 0 1 0 0 -1 -1 0 -3 -2 -2 0 0 -3 -3 1 2 -2 -3 1 1 -1
  -3 0 8 -2 4 -2 4 3 1 2 4 1 -3 -1 1 -1 0 1 1 0 0 -2 -2 4 3 1 1 -1 2 3 -3 2 -1 2 4 -2 1 3 0 -1 -1 1 -2 1
  -3 2 -2 8 -3 -1 1 1 0 -3 2 3 -1 2 -1 2 -2 0 -2 -2 -1 -2 -1 -1 -2 -1 1 1 2 0 0 0 2 2 1 1 -3 -2 -2 0 -2 1 1 0
  -2 0 4 -3 8 -2 1 -1 -3 2 -1 -2 -1 2 2 2 3 2 2 -2 3 0 0 1 0 1 -3 0 2 2 0 3 0 3 -1 -1 3 1 0 0 -1 1 -2 -1
  1 -3 -2 -1 -2 8 -3 -2 3 -2 -1 3 0 0 -2 0 0 -1 2 1 0 2 2 2 0 1 -2 -2 0 -1 2 -1 2 -2 -3 1 -2 1 0 -1 0 0 -3 -2
  -2 0 4 1 1 -3 8 3 0 2 5 1 1 -2 -1 0 1 1 -1 1 -3 -1 -2 1 3 1 4 -2 3 0 -3 0 -1 3 2 -3 0 -1 -3 0 1 -1 -1 -1
  0 -1 3 1 -1 -2 3 8 4 2 4 0 -1 -3 2 -4 -1 -2 1 2 -3 -2 0 0 1 -3 5 -1 3 3 0 1 1 0 3 -2 1 1 -3 2 0 -1 2 0
  3 -3 1 0 -3 3 0 4 10 0 1 -1 -2 -3 -2 -5 -2 -1 -1 1 -3 -2 -2 1 2 -3 2 2 3 0 0 -1 3 -3 0 0 0 1 -2 1 2 0 1 1
  -1 1 2 -3 2 -2 2 2 0 8 2 -2 0 -3 1 -1 2 -3 1 0 2 -1 0 1 2 -1 1 -3 1 -2 -3 -2 -3 1 -1 -4 2 1 -1 -1 3 -1 -1 0
  -3 1 4 2 -1 -1 5 4 1 2 10 2 -2 -1 1 1 -2 -1 2 0 -1 0 -1 4 1 2 5 -3 4 3 -2 -1 -3 2 1 -2 -3 -1 -1 -2 1 -1 -2 -2
  -4 0 1 3 -2 3 1 0 -1 -2 2 10 -2 2 -3 1 1 -2 -1 -1 0 1 0 4 -1 0 -2 -4 1 -2 0 1 -1 2 2 -1 -4 2 1 0 -4 1 -1 0
  2 -2 -3 -1 -1 0 1 -1 -2 0 -2 -2 8 0 -1 2 3 1 -1 1 -2 0 0 -3 1 3 2 -1 -3 -2 2 -2 1 0 0 -1 2 -1 -3 -1 4 0 -1 -1
  -2 1 -1 2 2 0 -2 -3 -3 -3 -1 2 0 8 1 5 1 0 0 -4 1 2 0 2 -4 3 -3 0 0 0 3 0 1 1 -2 1 -2 0 2 0 -3 3 0 0
  0 0 1 -1 2 -2 -1 2 -2 1 1 -3 -1 1 8 0 -1 -2 2 -1 1 0 3 0 -3 0 2 -1 -1 3 1 2 0 1 -1 1 1 0 2 0 -2 -1 0 -1
  -4 1 -1 2 2 0 0 -4 -5 -1 1 1 2 5 0 10 3 2 0 -2 3 0 0 1 -2 5 -3 -2 0 -1 1 -1 -1 2 -2 1 -1 0 0 -4 1 4 -3 -2
  0 -3 0 -2 3 0 1 -1 -2 2 -2 1 3 1 -1 3 8 1 -1 -2 2 0 0 0 0 0 -2 -1 1 -3 2 1 -1 3 0 -1 2 0 -2 1 1 1 -2 -1
  1 0 1 0 2 -1 1 -2 -1 -3 -1 -2 1 0 -2 2 1 8 -2 1 -1 -2 -3 -1 0 1 -1 4 1 1 1 1 0 0 1 1 0 -2 -1 0 1 0 -1 -1
  -1 0 1 -2 2 2 -1 1 -1 1 2 -1 -1 0 2 0 -1 -2 8 2 2 3 3 1 2 2 1 -2 0 4 0 1 1 -1 -1 0 1 0 -1 0 0 0 -1 -2
  2 0 0 -2 -2 1 1 2 1 0 0 -1 1 -4 -1 -2 -2 1 2 8 -3 1 0 -1 3 0 3 -2 -2 1 -1 -1 0 -4 1 -1 1 1 -1 0 2 -2 2 0
  -2 1 0 -1 3 0 -3 -3 -3 2 -1 0 -2 1 1 3 2 -1 2 -3 8 -1 1 1 -1 0 -4 -1 -1 -1 -1 2 -2 2 -1 2 1 0 2 -2 0 2 -2 0
  1 0 -2 -2 0 2 -1 -2 -2 -1 0 1 0 2 0 0 0 -2 3 1 -1 8 2 1 0 2 0 -1 -1 0 1 -1 -1 -1 -3 0 -2 0 2 1 -2 -2 1 -2
  -1 1 -2 -1 0 2 -2 0 -2 0 -1 0 0 0 3 0 0 -3 3 0 1 2 8 -1 -1 0 -1 -2 0 2 1 0 1 0 -2 -1 -1 1 1 0 -3 0 -1 -3
  -2 0 4 -1 1 2 1 0 1 1 4 4 -3 2 0 1 0 -1 1 -1 1 1 -1 8 -1 2 0 -3 1 0 -1 -1 -2 0 0 -1 -3 2 2 -2 -1 0 -2 0
  -2 1 3 -2 0 0 3 1 2 2 1 -1 1 -4 -3 -2 0 0 2 3 -1 0 -1 -1 10 2 2 -1 -2 0 -4 0 1 0 4 -3 1 3 -2 -2 2 2 -2 0
  -3 0 1 -1 1 1 1 -3 -3 -1 2 0 3 3 0 5 0 1 2 0 0 2 0 2 2 10 0 -2 -3 0 -1 -1 1 1 0 -1 -1 1 1 -3 2 3 -4 -2
  2 0 1 1 -3 -2 4 5 2 1 5 -2 2 -3 2 -3 -2 -1 1 3 -4 0 -1 0 2 0 10 -2 -1 2 -1 -2 0 -1 2 -1 0 -2 -2 0 2 -3 1 0
  3 -1 -1 1 0 -2 -2 -1 2 -3 -3 -4 -1 0 -1 -2 -1 4 -2 -2 -1 -1 -2 -3 -1 -2 -2 10 1 1 1 1 2 -1 1 3 1 -2 -1 3 0 0 2 2
  -1 -1 2 2 2 0 3 3 3 1 4 1 -3 0 -1 0 1 1 0 -2 -1 -1 0 1 -2 -3 -1 1 10 2 1 1 0 2 -2 -2 -1 -2 -3 2 -1 -1 0 -2
  0 0 3 0 2 -1 0 3 0 -2 3 -2 -2 0 3 -1 -3 1 4 1 -1 0 2 0 0 0 2 1 2 10 1 2 1 -1 1 1 1 0 -1 0 -1 -1 1 0
  3 -3 -3 0 0 2 -3 0 0 -3 -2 0 2 3 1 1 2 1 0 -1 -1 1 1 -1 -4 -1 -1 1 1 1 8 1 1 -1 -2 2 0 -1 0 3 0 0 0 -1
  -1 -2 2 0 3 -1 0 1 -1 -2 -1 1 -2 0 2 -1 1 1 1 -1 2 -1 0 -1 0 -1 -2 1 1 2 1 8 2 3 2 2 2 0 0 2 -3 1 0 -1
  0 -2 -1 2 0 2 -1 1 3 -3 -3 -1 1 1 0 -1 -1 0 1 0 -2 -1 1 -2 1 1 0 2 0 1 1 2 8 -1 0 1 1 1 -3 1 -1 2 0 0
  -4 0 2 2 3 -2 3 0 -3 1 2 2 0 1 1 2 3 0 -1 -4 2 -1 0 0 0 1 -1 -1 2 -1 -1 3 -1 8 2 -1 0 -1 -1 0 -2 1 -3 -2
  -2 0 4 1 -1 -3 2 3 0 -1 1 2 0 -2 -1 -2 0 1 -1 1 -1 -3 -2 0 4 0 2 1 -2 1 -2 2 0 2 10 0 1 2 -1 0 -1 2 0 3
  3 -3 -2 1 -1 1 -3 -2 0 -4 -2 -1 -1 1 1 1 -1 1 0 -1 2 0 -1 -1 -3 -1 -1 3 -2 1 2 2 1 -1 0 8 1 -2 1 1 0 0 1 2
  2 -3 1 -3 3 -2 0 1 0 2 -3 -4 2 -2 1 -1 2 0 1 1 1 -2 -1 -3 1 -1 0 1 -1 1 0 2 1 0 1 1 8 0 -2 1 3 1 1 2
  -3 1 3 -2 1 1 -1 1 1 1 -1 2 -1 0 0 0 0 -2 0 1 0 0 1 2 3 1 -2 -2 -2 0 -1 0 1 -1 2 -2 0 8 1 -2 -2 3 -1 1
  0 2 0 -2 0 0 -3 -3 -2 -1 -1 1 -3 2 2 0 -2 -1 -1 -1 2 2 1 2 -2 1 -2 -1 -3 -1 0 0 -3 -1 -1 1 -2 1 8 -1 -2 0 0 1
  3 -2 -1 0 0 -1 0 2 1 -1 -2 0 -1 0 0 -4 1 0 0 0 -2 1 0 -2 -2 -3 0 3 2 0 3 2 1 0 0 1 1 -2 -1 8 -2 -2 3 1
  3 -3 -1 -2 -1 0 1 0 2 3 1 -4 4 -3 -2 1 1 1 0 2 0 -2 -3 -1 2 2 2 0 -1 -1 0 -3 -1 -2 -1 0 3 -2 -2 -2 10 -1 -1 1
  -4 1 1 1 1 0 -1 -1 0 -1 -1 1 0 3 -1 4 1 0 0 -2 2 -2 0 0 2 3 -3 0 -1 -1 0 1 2 1 2 0 1 3 0 -2 -1 8 -2 0
  3 1 -2 1 -2 -3 -1 2 1 -1 -2 -1 -1 0 0 -3 -2 -1 -1 2 -2 1 -1 -2 -2 -4 1 2 0 1 0 0 0 -3 0 1 1 -1 0 3 -1 -2 8 3
  2 -1 1 0 -1 -2 -1 0 1 0 -2 0 -1 0 -1 -2 -1 -1 -2 0 0 -2 -3 0 0 -2 0 2 -2 0 -1 -1 0 -2 3 2 2 1 1 1 1 0 3 8
  

• LAST_LINE
  

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  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe