Coxeter-Todd Lattice

Author

Eric W. Weisstein
July 26, 2008

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Lattices/Coxeter-ToddLattice.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/Coxeter-ToddLattice.html.

©2008 Wolfram Research, Inc. except for portions noted otherwise

Properties

LatticeData["CoxeterTodd"]

(2^10)(3^7)5 7

LatticeData["CoxeterTodd","AutomorphismGroupOrder"]

LatticeData["CoxeterTodd","KissingNumber"]

LatticeData["CoxeterTodd","Dimension"]

Theta Series

(ser=LatticeData["CoxeterTodd","ThetaSeriesFunction"][Log[q]/(I Pi)])//TraditionalForm

Series[ser,{q,0,20}]

CoefficientList[Series[ser,{q,0,20}],q^2]

SeriesCoefficient[ser,{q,0,n}]