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 13:09:47 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIM
GRAM
AUTO
PROPERTIES
SIMILARITY
LAST_LINE

• NAME
  A3^2.sqrt(3)A3^2
  

• DIM
  12
  

• GRAM
  12 0
  2
  -1 2
  0 -1 2
  0 0 0 2
  0 0 0 -1 2
  0 0 0 0 -1 2
  0 1 -1 1 -1 1 4
  1 -1 0 -1 1 -1 -2 4
  0 1 -1 0 -1 0 0 -1 4
  -1 1 -1 0 -1 1 1 -1 1 4
  1 -1 1 0 -1 1 0 0 0 -1 4
  0 -1 0 1 -1 0 0 0 0 1 1 4
  

• AUTO
  12
  0 0 0 0 0 1 0 0 0 0 0 0
  0 0 0 0 1 0 0 0 0 0 0 0
  0 0 0 1 0 0 0 0 0 0 0 0
  0 0 1 0 0 0 0 0 0 0 0 0
  0 1 0 0 0 0 0 0 0 0 0 0
  1 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 1 0 0 0 0 0 1 0
  0 0 0 0 0 0 0 0 0 1 0 0
  0 0 0 -1 0 1 0 0 0 -1 -1 1
  0 0 0 0 0 0 0 1 0 0 0 0
  0 -1 0 1 1 1 0 0 1 0 0 0
  0 0 0 0 -1 0 -1 0 0 0 0 0
  12
  -1 -1 0 0 0 0 0 0 0 0 0 0
  0 0 -1 0 0 0 0 0 0 0 0 0
  0 1 1 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 1 0 0 0 0 0 0
  0 0 0 0 1 0 0 0 0 0 0 0
  0 0 0 1 0 0 0 0 0 0 0 0
  0 0 -1 1 0 1 -1 0 0 0 0 0
  0 0 0 -1 -1 -1 0 0 -1 0 0 0
  0 -1 -1 -1 -1 -1 0 -1 0 0 0 0
  0 0 -1 0 -1 0 0 0 0 -1 0 0
  0 0 1 0 -1 0 0 0 0 0 -1 0
  0 -1 0 0 -1 0 0 0 0 0 0 -1
  12
  1 0 0 0 0 0 0 0 0 0 0 0
  -1 -1 0 0 0 0 0 0 0 0 0 0
  0 0 -1 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 1 0 0 0 0 0 0
  0 0 0 0 1 0 0 0 0 0 0 0
  0 0 0 1 0 0 0 0 0 0 0 0
  0 0 0 0 -1 0 0 0 -1 0 0 0
  0 0 1 0 1 0 1 1 1 0 0 0
  0 0 0 0 -1 0 -1 0 0 0 0 0
  0 0 1 0 -1 0 0 0 0 0 -1 0
  0 0 -1 0 -1 0 0 0 0 -1 0 0
  0 0 0 0 -1 0 0 0 0 0 0 -1
  12
  1 0 0 0 0 0 0 0 0 0 0 0
  0 1 0 0 0 0 0 0 0 0 0 0
  0 0 1 0 0 0 0 0 0 0 0 0
  0 0 0 1 0 0 0 0 0 0 0 0
  0 0 0 0 1 1 0 0 0 0 0 0
  0 0 0 0 0 -1 0 0 0 0 0 0
  0 0 0 0 0 -1 1 0 0 0 0 0
  0 0 0 0 0 1 0 1 0 0 0 0
  0 0 0 0 0 0 0 0 1 0 0 0
  0 0 0 0 0 -1 0 0 0 1 0 0
  0 0 0 0 0 -1 0 0 0 0 1 0
  0 0 0 0 0 0 0 0 0 0 0 1
  12
  1 0 0 0 0 0 0 0 0 0 0 0
  0 1 0 0 0 0 0 0 0 0 0 0
  0 0 1 0 0 0 0 0 0 0 0 0
  0 0 0 1 0 0 0 0 0 0 0 0
  0 0 0 -1 -1 -1 0 0 0 0 0 0
  0 0 0 0 0 1 0 0 0 0 0 0
  0 0 0 0 0 0 1 0 0 0 0 0
  0 0 0 0 0 0 0 1 0 0 0 0
  0 0 0 1 2 1 0 0 1 0 0 0
  0 0 0 0 0 1 0 0 0 0 -1 0
  0 0 0 0 0 1 0 0 0 -1 0 0
  0 0 0 0 0 1 0 0 0 -1 -1 1
  12
  1 0 0 0 0 0 0 0 0 0 0 0
  0 1 0 0 0 0 0 0 0 0 0 0
  0 0 1 0 0 0 0 0 0 0 0 0
  0 0 0 1 0 0 0 0 0 0 0 0
  0 0 0 0 1 0 0 0 0 0 0 0
  0 0 0 0 0 1 0 0 0 0 0 0
  0 0 0 0 0 0 1 0 0 0 0 0
  0 0 0 0 0 0 0 1 0 0 0 0
  1 1 -1 -1 -2 -1 -1 -1 -1 0 0 0
  0 0 0 0 0 0 0 0 0 1 0 0
  0 0 0 0 0 0 0 0 0 0 1 0
  0 0 0 0 0 0 0 0 0 0 0 1
  12
  1 0 0 0 0 0 0 0 0 0 0 0
  0 1 0 0 0 0 0 0 0 0 0 0
  0 0 1 0 0 0 0 0 0 0 0 0
  0 0 0 1 0 0 0 0 0 0 0 0
  0 0 0 0 1 0 0 0 0 0 0 0
  0 0 0 0 0 1 0 0 0 0 0 0
  0 0 0 0 0 0 1 0 0 0 0 0
  0 0 0 0 0 0 0 1 0 0 0 0
  0 0 0 0 0 0 0 0 1 0 0 0
  0 0 0 0 0 0 0 0 0 1 0 0
  0 0 0 0 0 0 0 0 0 0 1 0
  -1 -2 -1 1 0 -1 0 0 0 1 1 -1
  

• PROPERTIES
  Integral=1
  Modular=3
  

• SIMILARITY
  12
  -1 -2 -1 1 0 -1 0 0 0 1 1 -2
  0 1 0 0 1 0 0 0 0 0 1 1
  1 0 1 0 0 0 0 0 0 1 -1 0
  -1 -1 1 1 2 1 1 1 2 0 0 0
  0 1 0 0 -1 0 0 1 -1 0 0 0
  0 -1 0 -1 0 -1 1 -1 0 0 0 0
  -1 -1 0 1 3 2 1 0 1 0 1 0
  0 0 -1 1 0 -1 -1 0 -1 0 0 -1
  0 0 -1 1 -1 -1 -1 -1 0 0 1 0
  1 2 2 -1 0 0 0 -1 0 -1 0 1
  1 0 -1 0 0 -1 0 -1 0 1 0 -1
  2 1 1 0 0 1 0 0 1 -1 -1 0
  

• LAST_LINE
  
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe