The Lattice Qp1762

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
DIMENSION
DET
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GRAM
PROPERTIES
NOTES
REFERENCES
LAST_LINE

• NAME
  Qp1762
  
• DIMENSION
  17
  
• DET
  768
  
• DIVISORS
  1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 12
  
• MINIMAL_NORM
  3
  
• KISSING_NUMBER
  136
  
• GRAM
  17 17
  3 -1 0 0 1 -1 0 1 0 0 1 0 -1 1 0 0 -1
  -1 3 -1 0 0 1 -1 0 1 0 0 1 0 -1 1 0 0
  0 -1 3 -1 0 0 1 -1 0 1 0 0 1 0 -1 1 0
  0 0 -1 3 -1 0 0 1 -1 0 1 0 0 1 0 -1 1
  1 0 0 -1 3 -1 0 0 1 -1 0 1 0 0 1 0 -1
  -1 1 0 0 -1 3 -1 0 0 1 -1 0 1 0 0 1 0
  0 -1 1 0 0 -1 3 -1 0 0 1 -1 0 1 0 0 1
  1 0 -1 1 0 0 -1 3 -1 0 0 1 -1 0 1 0 0
  0 1 0 -1 1 0 0 -1 3 -1 0 0 1 -1 0 1 0
  0 0 1 0 -1 1 0 0 -1 3 -1 0 0 1 -1 0 1
  1 0 0 1 0 -1 1 0 0 -1 3 -1 0 0 1 -1 0
  0 1 0 0 1 0 -1 1 0 0 -1 3 -1 0 0 1 -1
  -1 0 1 0 0 1 0 -1 1 0 0 -1 3 -1 0 0 1
  1 -1 0 1 0 0 1 0 -1 1 0 0 -1 3 -1 0 0
  0 1 -1 0 1 0 0 1 0 -1 1 0 0 -1 3 -1 0
  0 0 1 -1 0 1 0 0 1 0 -1 1 0 0 -1 3 -1
  -1 0 0 1 -1 0 1 0 0 1 0 -1 1 0 0 -1 3
  
• PROPERTIES
  INTEGRAL=1
  
• NOTES
  Called F_1(vi) by Plesken, Q'_17(2) in LDL II (see references)
  
• REFERENCES
  Plesken, J. Algebra, vol. 97 (1985) pp. 286-312
  Conway-Sloane, "Low-Dimensional Lattices II: Subgroups of GL(n,Z)",
  Proc. Royal Soc. London, A 419 (1988), 29-68.
  
• LAST_LINE
  

INDEX FILE | ABBREVIATIONS

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