The Lattice LAMBDA12_MID

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
GRAM
DIVISORS
MINIMAL_NORM
PROPERTIES
NOTES
KISSING_NUMBER
REFERENCES
LAST_LINE

• NAME
  LAMBDA12_MID
  
• DIMENSION
  12
  
• DET
  1024
  
• GRAM
  12 0
  4
  2 4
  0 -2 4
  0 -2 0 4
  0 0 -2 0 4
  -2 -2 0 0 0 4
  0 0 0 0 0 -2 4
  0 0 0 0 0 0 -2 4
  0 0 0 0 1 -1 0 0 4
  0 0 0 0 -1 0 0 0 0 4
  0 0 0 0 0 0 0 0 -2 0 4
  0 1 -2 0 1 0 0 -1 1 0 0 4
  
• DIVISORS
  2^2*4^4
  
• MINIMAL_NORM
  4
  
• PROPERTIES
  INTEGRAL =1
  
• NOTES
  A laminated lattice.
  There are three inequivalent 12-dim. laminated lattices; this is Lambda^{mid}_12,
  the one with the mid-ranked kissing number.
  
• KISSING_NUMBER
  632
  
• REFERENCES
  1. SPLAG p. 157.
  2. W.Plesken, M.Pohst, Constructing integral lattices with prescribed minimum II,
  Math. Comp. Vol 60, N. 202 (1993) 817-825
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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