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 Jul 18 13:25:50 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GRAM
PROPERTIES
NOTES
REFERENCES
THETA_SERIES
GROUP_ORDER
GROUP_NAME
LAST_LINE

• NAME
  Q1761
  

• DIMENSION
  17
  

• DET
  1536
  

• DIVISORS
  1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 6
  

• MINIMAL_NORM
  4
  

• KISSING_NUMBER
  2040
  

• GRAM
  17 17
  4 2 1 1 1 0 -1 -2 -1 -1 -2 -1 0 1 1 1 2
  2 4 2 1 1 1 0 -1 -2 -1 -1 -2 -1 0 1 1 1
  1 2 4 2 1 1 1 0 -1 -2 -1 -1 -2 -1 0 1 1
  1 1 2 4 2 1 1 1 0 -1 -2 -1 -1 -2 -1 0 1
  1 1 1 2 4 2 1 1 1 0 -1 -2 -1 -1 -2 -1 0
  0 1 1 1 2 4 2 1 1 1 0 -1 -2 -1 -1 -2 -1
  -1 0 1 1 1 2 4 2 1 1 1 0 -1 -2 -1 -1 -2
  -2 -1 0 1 1 1 2 4 2 1 1 1 0 -1 -2 -1 -1
  -1 -2 -1 0 1 1 1 2 4 2 1 1 1 0 -1 -2 -1
  -1 -1 -2 -1 0 1 1 1 2 4 2 1 1 1 0 -1 -2
  -2 -1 -1 -2 -1 0 1 1 1 2 4 2 1 1 1 0 -1
  -1 -2 -1 -1 -2 -1 0 1 1 1 2 4 2 1 1 1 0
  0 -1 -2 -1 -1 -2 -1 0 1 1 1 2 4 2 1 1 1
  1 0 -1 -2 -1 -1 -2 -1 0 1 1 1 2 4 2 1 1
  1 1 0 -1 -2 -1 -1 -2 -1 0 1 1 1 2 4 2 1
  1 1 1 0 -1 -2 -1 -1 -2 -1 0 1 1 1 2 4 2
  2 1 1 1 0 -1 -2 -1 -1 -2 -1 0 1 1 1 2 4
  

• PROPERTIES
  INTEGRAL=1
  

• NOTES
  Called F_3(vi) by Plesken, Q_17(6) 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.
  

• THETA_SERIES
  0 1
  2 0
  4 2040
  6 41956
  8 362406
  10 1933920
  12 7591792
  14 24124428
  

• GROUP_ORDER
  32640
  

• GROUP_NAME
  C2 x L(2,16):C4
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe