The Lattice T26

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)

Last modified Wed Jul 21 14:16:14 EDT 1999

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DETERMINANT
MINIMAL_NORM
KISSING_NUMBER
GRAM
GROUP_ORDER
PROPERTIES
REFERENCES
NOTES
LAST_LINE

• NAME
  T26
  
• DIMENSION
  26
  
• DETERMINANT
  3
  
• MINIMAL_NORM
  4
  
• KISSING_NUMBER
  117936
  
• GRAM
  26 0
  4
  -2 4
  -2 0 4
  1 1 0 4
  -2 1 0 -2 4
  -2 1 0 0 0 4
  1 -2 -1 0 0 -1 4
  1 1 -1 2 -2 1 0 4
  -2 1 0 0 2 2 0 -1 4
  -2 2 0 -1 2 0 0 0 0 4
  1 1 -1 2 -2 0 -1 1 -1 0 4
  1 1 0 2 -2 -1 0 1 -1 -1 1 4
  -2 0 2 -2 2 0 0 -1 0 2 -2 -2 4
  -1 2 1 2 0 0 0 1 1 1 0 1 0 4
  -2 2 1 -1 2 0 -1 0 0 2 -1 0 2 0 4
  -1 2 1 2 0 0 0 1 0 1 0 2 0 2 1 4
  -2 2 0 -1 1 2 -1 1 1 1 -1 0 1 0 2 1 4
  -1 -1 1 0 1 1 0 -1 1 0 -1 -2 1 0 0 0 -1 4
  -2 0 0 -2 1 2 0 0 1 1 -1 -2 1 -1 1 -1 2 1 4
  -2 1 2 1 1 1 0 0 1 1 -1 0 1 2 1 2 0 2 0 4
  -2 0 2 0 0 2 -1 0 1 0 0 -1 1 0 0 0 1 1 1 1 4
  -1 2 -1 -1 1 0 0 1 0 2 0 0 1 0 2 0 2 -2 1 -1 -1 4
  -1 -1 1 0 0 0 2 0 0 1 -1 0 1 0 0 1 0 1 1 1 1 0 4
  -2 0 0 -1 2 2 0 -1 2 1 -1 -2 1 -1 1 0 1 2 2 1 1 0 1 4
  1 1 -1 2 -2 1 0 2 0 -1 1 2 -2 1 -1 1 0 -1 -1 0 -1 0 -1 -1 4
  1 -2 1 0 0 -1 0 -1 0 -1 0 -1 0 -1 -1 -1 -2 1 -1 0 1 -2 0 0 -1 4
  
• GROUP_ORDER
  1268047872
  
• PROPERTIES
  INTEGRAL=1
  
• REFERENCES
  Borcherds' thesis (Ref [Bor1] of SPLAG).
  G. Nebe: Finite subgroups of GL_n(Q) for 25 <= n <= 31,
  Comm. Alg. 24(7), 2341-2397 (1996).
  For more information see the Intro to 3rd edition of SPLAG.
  
• NOTES
  Discovered by J. H. Conway and/or R. E. Borcherds.
  Called T_26- in NJAS's notebooks and 3D4(2):3 in the Nebe paper.
  Group is 3D_4(2):3
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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