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 13:19:09 CEST 2014

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
  LAMBDA28
  

• DIMENSION
  28
  

• 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
  

• GRAM
  28 28
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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
  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 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 2 0 2 2 2 2 4 2
  2 2 4 2 4 4 8 4 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
  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
  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 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
  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
  

• PROPERTIES
  INTEGRAL =1
  

• NOTES
  A laminated lattice LAMBDA28, constructed as in Sect. 7, Chap. 6 of SPLAG,
  at scale at which it is integral.
  

• MINIMAL_NORM
  8
  

• DET
  1073741824
  

• KISS
  197736
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe