The Lattice E6.sqrt(3)E6

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
DIM
GRAM
AUTO
PROPERTIES
SIMILARITY
LAST_LINE

• NAME
  E6.sqrt(3)E6
  
• DIM
  12
  
• GRAM
  12 0
  2
  1 2
  1 1 2
  -1 0 -1 2
  1 1 1 -1 2
  1 0 0 -1 0 2
  0 0 0 0 0 0 4
  0 0 0 0 0 0 2 4
  0 0 0 0 0 0 1 2 4
  0 0 0 0 0 0 2 1 2 4
  0 0 0 0 0 0 -1 1 -1 -2 4
  0 0 0 0 0 0 -1 1 2 1 1 4
  
• AUTO
  12
  0 0 0 0 0 1 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 -1 1 1 1 0 0 0 0 0 0 0
  0 0 -1 -1 0 0 0 0 0 0 0 0
  -1 1 0 0 0 1 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 1
  0 0 0 0 0 0 0 0 0 -1 -1 1
  0 0 0 0 0 0 0 0 1 -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 1 -1 0 0
  12
  -1 0 0 -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 0 -1 0 0 0 0 0 0
  0 0 0 1 1 1 0 0 0 0 0 0
  0 1 -1 -2 -1 -1 0 0 0 0 0 0
  0 -1 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 1
  0 0 0 0 0 0 0 0 0 -1 -1 1
  0 0 0 0 0 0 0 0 1 -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 1 -1 0 0
  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 0 0 0 0 0 1
  0 0 0 0 0 0 0 0 0 -1 -1 1
  0 0 0 0 0 0 0 0 1 -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 1 -1 0 0
  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 1 1 -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 1
  0 0 0 0 0 0 0 1 -1 -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 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 1 1 -1
  0 0 0 0 0 0 0 0 -1 1 0 0
  0 0 0 0 0 0 0 1 0 -1 -1 0
  0 0 0 0 0 0 -1 1 0 1 0 -1
  
• PROPERTIES
  Integral=1
  Modular=3
  
• SIMILARITY
  12
  0 0 0 0 0 0 -1 0 1 1 1 -2
  0 0 0 0 0 0 0 -1 1 1 2 -1
  0 0 0 0 0 0 -1 0 0 2 1 -1
  0 0 0 0 0 0 1 -1 1 -1 0 1
  0 0 0 0 0 0 0 -1 0 1 1 -1
  0 0 0 0 0 0 0 1 0 0 0 -1
  -2 -1 2 3 2 4 0 0 0 0 0 0
  -1 1 1 0 -2 2 0 0 0 0 0 0
  -2 2 -1 -3 -1 1 0 0 0 0 0 0
  -1 1 -2 0 1 2 0 0 0 0 0 0
  2 -2 1 0 -2 -1 0 0 0 0 0 0
  2 1 -2 -3 -2 -1 0 0 0 0 0 0
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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