The Lattice 34MIN3

An entry from the Catalogue of Lattices, which is a joint project of
Neil J. A. Sloane, AT&T Labs-Research (njas@research.att.com) and
Gabriele Nebe, University of Ulm (nebe@mathematik.uni-ulm.de)

Last modified Fri Jan 23 12:03:05 EST 1998

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
MINIMAL_NORM
NOTES
GRAM
LAST_LINE

• NAME
  34MIN3
  
• DIMENSION
  34
  
• DET
  1
  
• MINIMAL_NORM
  3
  
• NOTES
  Found by EMR and NJAS using random walk on nbr graph.
  
• GRAM
  34 34
  4 1 1 2 0 0 0 -1 0 0 -1 -1 0 0 0 1 1 1 -1 1 -1 -2 0 1 -1 1 -2 1 0 0 -1 -1 0 1
  1 4 1 0 -1 1 0 0 -2 0 0 1 1 -1 -1 2 -1 2 0 2 -1 -1 -1 2 1 1 -1 1 -2 -1 -2 -2 2
  2
  1 1 4 1 0 1 0 0 -1 -1 -1 0 0 0 0 -1 -1 1 -1 1 -1 -1 0 1 0 1 -1 1 -2 -2 1 -1 2
  2
  2 0 1 4 1 1 -1 1 0 0 -1 0 0 0 1 0 0 1 0 1 -1 -2 -1 0 -1 -1 -2 2 0 1 -1 1 0 -1
  0 -1 0 1 4 0 0 0 1 0 1 -1 1 -1 2 -1 -1 -2 1 -1 -1 0 -1 -1 -1 -2 1 -1 1 0 2 0 -2
  -2
  0 1 1 1 0 4 0 1 0 0 1 1 -1 -1 1 1 -1 1 1 1 0 0 1 0 0 0 -1 2 -1 1 0 1 2 -1
  0 0 0 -1 0 0 4 -2 1 -1 2 -1 -1 1 -1 0 1 0 0 0 -1 0 1 -1 0 1 2 -1 1 0 1 0 0 -1
  -1 0 0 1 0 1 -2 4 -1 0 -1 1 0 -1 2 1 0 0 0 1 0 1 0 1 1 0 -1 2 -1 0 -1 0 1 0
  0 -2 -1 0 1 0 1 -1 4 1 1 -2 -1 0 0 0 2 -1 1 0 2 0 1 -1 -2 -2 1 0 1 1 0 0 -1 -1
  0 0 -1 0 0 0 -1 0 1 4 0 0 0 -1 0 2 0 0 2 1 1 -1 -2 1 0 -1 -1 1 -1 0 -2 1 -2 1
  -1 0 -1 -1 1 1 2 -1 1 0 4 0 -1 -1 0 0 0 -1 2 0 1 0 0 -1 0 0 2 -1 2 1 1 0 0 -1
  -1 1 0 0 -1 1 -1 1 -2 0 0 4 1 0 -1 1 -2 1 1 0 0 0 -1 1 1 1 0 2 -1 1 0 1 0 0
  0 1 0 0 1 -1 -1 0 -1 0 -1 1 4 0 0 0 -2 -1 0 0 -1 0 -2 1 0 -1 0 0 -1 -2 0 -1 -2
  0
  0 -1 0 0 -1 -1 1 -1 0 -1 -1 0 0 4 -1 -1 1 0 0 -1 -1 -1 1 -2 0 0 1 -1 0 0 1 1 0
  -2
  0 -1 0 1 2 1 -1 2 0 0 0 -1 0 -1 4 0 0 -2 0 0 -1 0 0 -1 -1 -1 -1 0 0 0 1 0 0 -2
  1 2 -1 0 -1 1 0 1 0 2 0 1 0 -1 0 5 1 1 1 2 0 -1 -1 2 0 1 -1 3 -2 1 -3 -1 0 1
  1 -1 -1 0 -1 -1 1 0 2 0 0 -2 -2 1 0 1 5 0 -1 0 1 0 2 0 -1 1 1 0 1 2 -1 -1 1 1
  1 2 1 1 -2 1 0 0 -1 0 -1 1 -1 0 -2 1 0 5 0 0 0 0 1 2 2 1 0 1 0 1 -2 0 2 2
  -1 0 -1 0 1 1 0 0 1 2 2 1 0 0 0 1 -1 0 5 0 2 -2 -1 -1 0 -2 1 0 1 1 0 0 0 -2
  1 2 1 1 -1 1 0 1 0 1 0 0 0 -1 0 2 0 0 0 5 0 -2 -1 1 -1 0 -3 3 -3 -2 -3 -1 1 1
  -1 -1 -1 -1 -1 0 -1 0 2 1 1 0 -1 -1 -1 0 1 0 2 0 5 0 1 0 -1 -1 0 0 1 1 -1 -1 1
  1
  -2 -1 -1 -2 0 0 0 1 0 -1 0 0 0 -1 0 -1 0 0 -2 -2 0 5 2 1 2 1 2 -1 1 0 1 1 -1 1
  0 -1 0 -1 -1 1 1 0 1 -2 0 -1 -2 1 0 -1 2 1 -1 -1 1 2 5 -1 0 1 1 -1 1 1 1 0 2
  -1
  1 2 1 0 -1 0 -1 1 -1 1 -1 1 1 -2 -1 2 0 2 -1 1 0 1 -1 5 2 2 0 2 -1 -1 -2 -1 0
  5
  -1 1 0 -1 -1 0 0 1 -2 0 0 1 0 0 -1 0 -1 2 0 -1 -1 2 0 2 5 2 2 -1 1 -1 0 1 0 2
  1 1 1 -1 -2 0 1 0 -2 -1 0 1 -1 0 -1 1 1 1 -2 0 -1 1 1 2 2 5 0 1 0 0 0 0 1 3
  -2 -1 -1 -2 1 -1 2 -1 1 -1 2 0 0 1 -1 -1 1 0 1 -3 0 2 1 0 2 0 6 -3 3 1 3 0 -1
  0
  1 1 1 2 -1 2 -1 2 0 1 -1 2 0 -1 0 3 0 1 0 3 0 -1 -1 2 -1 1 -3 6 -3 1 -3 0 1 1
  0 -2 -2 0 1 -1 1 -1 1 -1 2 -1 -1 0 0 -2 1 0 1 -3 1 1 1 -1 1 0 3 -3 6 2 2 1 -1
  -1
  0 -1 -2 1 0 1 0 0 1 0 1 1 -2 0 0 1 2 1 1 -2 1 0 1 -1 -1 0 1 1 2 6 0 1 1 -2
  -1 -2 1 -1 2 0 1 -1 0 -2 1 0 0 1 1 -3 -1 -2 0 -3 -1 1 1 -2 0 0 3 -3 2 0 6 1 -1
  -2
  -1 -2 -1 1 0 1 0 0 0 1 0 1 -1 1 0 -1 -1 0 0 -1 -1 1 0 -1 1 0 0 0 1 1 1 6 -3 -2
  0 2 2 0 -2 2 0 1 -1 -2 0 0 -2 0 0 0 1 2 0 1 1 -1 2 0 0 1 -1 1 -1 1 -1 -3 7 1
  1 2 2 -1 -2 -1 -1 0 -1 1 -1 0 0 -2 -2 1 1 2 -2 1 1 1 -1 5 2 3 0 1 -1 -2 -2 -2 1
  8
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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