The Lattice LAMBDA29

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
BASE (on a different scale from the rest of this file)
GRAM
PROPERTIES
NOTES
MINIMAL_NORM
DET
KISS
LAST_LINE

• NAME
  LAMBDA29
  
• DIMENSION
  29
  
• BASE (on a different scale from the rest of this file)
  8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  2 0 2 0 2 0 0 2 2 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  2 0 0 2 2 2 0 0 2 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0
  2 2 0 0 2 0 2 0 2 0 0 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0
  0 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0
  -3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0
  2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0
  2 2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 -2 2 0 0 0 0
  2 -2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 -2 2 0 0 0 0
  4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0
  2 0 -2 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 2 0 0 -2
  
• GRAM
  29 29
  16 8 8 8 8 8 8 4 8 8 8 4 8 4 4 4
  8 4 4 4 0 0 0 -6 4 4 4 8 4
  8 8 4 4 4 4 4 4 4 4 4 4 4 4 2 2
  4 2 2 4 2 0 0 -2 4 4 0 4 2
  8 4 8 4 4 4 4 4 4 4 4 4 4 2 4 2
  4 4 2 2 2 0 0 -2 4 0 0 4 0
  8 4 4 8 4 4 4 4 4 4 4 4 4 2 2 4
  4 2 4 2 2 0 0 -2 4 4 4 4 2
  8 4 4 4 8 4 4 4 4 4 4 2 4 4 4 4
  4 4 4 4 2 0 0 -2 2 2 2 4 4
  8 4 4 4 4 8 4 4 4 4 4 2 4 4 2 2
  4 2 4 2 0 0 0 -2 2 2 2 4 2
  8 4 4 4 4 4 8 4 4 4 4 2 4 2 4 2
  4 2 2 4 0 0 0 -2 2 2 2 4 2
  4 4 4 4 4 4 4 8 2 2 2 4 2 4 4 4
  2 4 4 4 4 0 0 2 4 2 0 2 0
  8 4 4 4 4 4 4 2 8 4 4 4 4 4 4 4
  4 4 4 4 2 2 2 -2 2 2 2 4 2
  8 4 4 4 4 4 4 2 4 8 4 4 4 4 2 2
  4 4 2 2 0 2 0 -2 2 2 2 4 2
  8 4 4 4 4 4 4 2 4 4 8 4 4 2 4 2
  4 2 4 2 0 0 2 -2 2 2 2 4 2
  4 4 4 4 2 2 2 4 4 4 4 8 2 4 4 4
  2 4 4 4 4 2 2 2 4 2 0 2 0
  8 4 4 4 4 4 4 2 4 4 4 2 8 4 4 4
  4 2 2 2 2 2 2 -2 2 2 2 4 2
  4 4 2 2 4 4 2 4 4 4 2 4 4 8 4 4
  2 4 4 4 4 4 2 2 2 2 0 2 2
  4 2 4 2 4 2 4 4 4 2 4 4 4 4 8 4
  2 4 4 4 4 2 4 2 2 0 0 2 1
  4 2 2 4 4 2 2 4 4 2 2 4 4 4 4 8
  2 4 4 4 4 2 2 2 2 2 2 2 1
  8 4 4 4 4 4 4 2 4 4 4 2 4 2 2 2
  8 4 4 4 2 2 2 -2 2 2 2 4 2
  4 2 4 2 4 2 2 4 4 4 2 4 2 4 4 4
  4 8 4 4 4 4 2 2 2 0 0 2 0
  4 2 2 4 4 4 2 4 4 2 4 4 2 4 4 4
  4 4 8 4 4 2 4 2 2 2 2 2 2
  4 4 2 2 4 2 4 4 4 2 2 4 2 4 4 4
  4 4 4 8 4 2 2 2 2 2 0 2 2
  0 2 2 2 2 0 0 4 2 0 0 4 2 4 4 4
  2 4 4 4 8 4 4 4 3 1 -1 0 0
  0 0 0 0 0 0 0 0 2 2 0 2 2 4 2 2
  2 4 2 2 4 8 4 4 0 0 0 0 0
  0 0 0 0 0 0 0 0 2 0 2 2 2 2 4 2
  2 2 4 2 4 4 8 4 0 0 0 0 0
  -6 -2 -2 -2 -2 -2 -2 2 -2 -2 -2 2 -2 2 2 2
  -2 2 2 2 4 4 4 8 0 -1 -2 -3 -2
  4 4 4 4 2 2 2 4 2 2 2 4 2 2 2 2
  2 2 2 2 3 0 0 0 8 4 0 4 0
  4 4 0 4 2 2 2 2 2 2 2 2 2 2 0 2
  2 0 2 2 1 0 0 -1 4 8 4 4 4
  4 0 0 4 2 2 2 0 2 2 2 0 2 0 0 2
  2 0 2 0 -1 0 0 -2 0 4 8 4 4
  8 4 4 4 4 4 4 2 4 4 4 2 4 2 2 2
  4 2 2 2 0 0 0 -3 4 4 4 8 4
  4 2 0 2 4 2 2 0 2 2 2 0 2 2 1 1
  2 0 2 2 0 0 0 -2 0 4 4 4 8
  
• PROPERTIES
  INTEGRAL =1
  
• NOTES
  A laminated lattice LAMBDA29, constructed as in Sect. 7, Chap. 6 of SPLAG,
  at scale at which it is integral.
  
• MINIMAL_NORM
  8
  
• DET
  2147483648
  
• KISS
  198506
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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