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 May 17 14:57:22 CEST 2019

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
MINIMAL_NORM
KISSING_NUMBER
GRAM
GROUP_ORDER
GROUP_NAME
PROPERTIES
NOTES
LAST_LINE

• NAME
  M22
  

• DIMENSION
  22
  

• DET
  15
  

• MINIMAL_NORM
  4
  

• KISSING_NUMBER
  44550
  

• GRAM
  22 22
  4 2 2 2 1 2 2 1 -1 1 1 1 2 2 -2 -2 -2 -2 -1 -2 2 -2
  2 4 1 1 2 2 2 2 -1 0 1 -1 1 0 -1 -2 0 -1 1 -2 2 0
  2 1 4 2 2 2 2 2 1 -1 2 0 0 1 -1 0 0 -1 -2 0 2 -1
  2 1 2 4 2 2 1 1 1 -1 1 1 2 2 -2 -1 -1 -2 -1 0 2 -2
  1 2 2 2 4 2 2 1 0 -1 2 -1 0 1 0 0 1 0 0 0 2 -1
  2 2 2 2 2 4 1 2 1 0 1 0 1 0 -2 -2 0 -2 0 0 2 -2
  2 2 2 1 2 1 4 1 0 -1 2 0 0 2 0 0 0 -1 -1 -2 1 -1
  1 2 2 1 1 2 1 4 0 0 1 -1 1 -1 -1 -1 1 -1 -1 -1 2 0
  -1 -1 1 1 0 1 0 0 4 -2 0 0 -1 0 0 0 1 -1 0 2 -1 0
  1 0 -1 -1 -1 0 -1 0 -2 4 0 1 1 -1 -1 -1 0 1 0 -1 0 0
  1 1 2 1 2 1 2 1 0 0 4 -1 -1 1 0 1 0 1 -2 0 2 0
  1 -1 0 1 -1 0 0 -1 0 1 -1 4 2 1 -1 -1 -1 -1 -1 0 -1 -2
  2 1 0 2 0 1 0 1 -1 1 -1 2 4 1 -2 -2 -1 -2 0 -1 1 -2
  2 0 1 2 1 0 2 -1 0 -1 1 1 1 4 0 0 -2 -1 -1 -1 1 -2
  -2 -1 -1 -2 0 -2 0 -1 0 -1 0 -1 -2 0 4 1 1 2 0 1 -1 1
  -2 -2 0 -1 0 -2 0 -1 0 -1 1 -1 -2 0 1 4 1 2 -1 1 -1 1
  -2 0 0 -1 1 0 0 1 1 0 0 -1 -1 -2 1 1 4 1 1 1 -1 1
  -2 -1 -1 -2 0 -2 -1 -1 -1 1 1 -1 -2 -1 2 2 1 4 0 1 -1 2
  -1 1 -2 -1 0 0 -1 -1 0 0 -2 -1 0 -1 0 -1 1 0 4 0 -1 1
  -2 -2 0 0 0 0 -2 -1 2 -1 0 0 -1 -1 1 1 1 1 0 4 -1 0
  2 2 2 2 2 2 1 2 -1 0 2 -1 1 1 -1 -1 -1 -1 -1 -1 4 -1
  -2 0 -1 -2 -1 -2 -1 0 0 0 0 -2 -2 -2 1 1 1 2 1 0 -1 4
  

• GROUP_ORDER
  2^9 3^6 5^3 7 11 = 3592512000
  

• GROUP_NAME
  (C2 x Mc).C2
  

• PROPERTIES
  INTEGRAL =1
  

• NOTES
  Partial dual of (C2 x Mc).C2
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe