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 13:25:53 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
  Q1763
  

• DIMENSION
  17
  

• DET
  22039921152
  

• DIVISORS
  1 3 3 3 3 3 3 3 6 6 6 6 6 6 6 6 6
  

• MINIMAL_NORM
  10
  

• KISSING_NUMBER
  1020
  

• GRAM
  17 17
  10 -2 -5 1 4 1 -5 1 1 1 1 -5 1 4 1 -5 -2
  -2 10 -2 -5 1 4 1 -5 1 1 1 1 -5 1 4 1 -5
  -5 -2 10 -2 -5 1 4 1 -5 1 1 1 1 -5 1 4 1
  1 -5 -2 10 -2 -5 1 4 1 -5 1 1 1 1 -5 1 4
  4 1 -5 -2 10 -2 -5 1 4 1 -5 1 1 1 1 -5 1
  1 4 1 -5 -2 10 -2 -5 1 4 1 -5 1 1 1 1 -5
  -5 1 4 1 -5 -2 10 -2 -5 1 4 1 -5 1 1 1 1
  1 -5 1 4 1 -5 -2 10 -2 -5 1 4 1 -5 1 1 1
  1 1 -5 1 4 1 -5 -2 10 -2 -5 1 4 1 -5 1 1
  1 1 1 -5 1 4 1 -5 -2 10 -2 -5 1 4 1 -5 1
  1 1 1 1 -5 1 4 1 -5 -2 10 -2 -5 1 4 1 -5
  -5 1 1 1 1 -5 1 4 1 -5 -2 10 -2 -5 1 4 1
  1 -5 1 1 1 1 -5 1 4 1 -5 -2 10 -2 -5 1 4
  4 1 -5 1 1 1 1 -5 1 4 1 -5 -2 10 -2 -5 1
  1 4 1 -5 1 1 1 1 -5 1 4 1 -5 -2 10 -2 -5
  -5 1 4 1 -5 1 1 1 1 -5 1 4 1 -5 -2 10 -2
  -2 -5 1 4 1 -5 1 1 1 1 -5 1 4 1 -5 -2 10
  

• PROPERTIES
  INTEGRAL=1
  

• NOTES
  Called F_5(vi) by Plesken, Q_17(6)^{+3} 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 0
  6 0
  8 0
  10 1020
  12 2040
  14 0
  16 34782
  18 41956
  20 0
  22 376992
  24 362406
  

• GROUP_ORDER
  32640
  

• GROUP_NAME
  C2 x L(2,16):C4
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe