The Lattice ANABASIC_11

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)

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
GRAM
PROPERTIES
NOTES
REFERENCES
LAST_LINE

• NAME
  ANABASIC_11
  
• DIMENSION
  11
  
• DET
  2*5^6*11^6*61^4 = 766523497743781250
  
• MINIMAL_NORM
  6
  
• KISSING_NUMBER
  24
  
• GRAM
  11 11
  60 5 5 5 5 5 -12 -12 -12 -12 -7
  5 60 5 5 5 5 -12 -12 -12 -12 -7
  5 5 60 5 5 5 -12 -12 -12 -12 -7
  5 5 5 60 5 5 -12 -12 -12 -12 -7
  5 5 5 5 60 5 -12 -12 -12 -12 -7
  5 5 5 5 5 60 -12 -12 -12 -12 -7
  -12 -12 -12 -12 -12 -12 60 -1 -1 -1 -13
  -12 -12 -12 -12 -12 -12 -1 60 -1 -1 -13
  -12 -12 -12 -12 -12 -12 -1 -1 60 -1 -13
  -12 -12 -12 -12 -12 -12 -1 -1 -1 60 -13
  -7 -7 -7 -7 -7 -7 -13 -13 -13 -13 96
  
• PROPERTIES
  INTEGRAL =1
  
• NOTES
  Generated by its minimal vectors but no subset of 11 of them is a base.
  Not perfect: s=12 < n(n+1)/2=66
  
• REFERENCES
  J. H. Conway and N. J. A. Sloane,
  A Lattice Without a Basis of Minimal Vectors,
  Mathematika volume 42 1995 pages 175-177.
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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