The Lattice A19*

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
MINIMAL_NORM
DET
DIVISORS
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
PROPERTIES
NOTES
REFERENCES
LAST_LINE

• NAME
  A19*
  
• DIM
  19
  
• GRAM
  19 19
  19 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1
  -1 19 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1
  -1 -1 19 -1 -1 -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 19 -1 -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 19 -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 19 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 19 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1 19 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1 -1 19 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1 -1 -1 19 -1 -1
  -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 19 -1
  -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 19
  -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
  19 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
  -1 19 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
  -1 -1 19 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 19 -1 -1 -1
  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 19 -1 -1
  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 19 -1
  -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
  -1 -1 -1 -1 -1 -1 19
  
• MINIMAL_NORM
  19
  
• DET
  262144000000000000000000
  
• DIVISORS
  1 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
  
• KISSING_NUMBER
  40
  
• GROUP_ORDER
  4865804016353280000
  
• GROUP_NAME
  C2 x S20
  
• GROUP_GENERATORS
  2
  19
  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 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 -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 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 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 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
  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 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
  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 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 0 0 0 0
  0 0 0 0
  1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
  -1 -1 1 1
  19
  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 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
  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 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 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 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 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 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 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 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 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
  
• PROPERTIES
  INTEGRAL=1
  
• NOTES
  Dual to A19
  
• REFERENCES
  SPLAG p. 114
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

[ AT&T Labs Research | Our People | Our Work | History | Find ]