Enumeration of Unimodular Lattices

  • J. H. Conway
  • N. J. A. Sloane
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 290)


In this chapter we state explicit formulae for the Minkowski-Siegel mass constants for unimodular lattices. We give Niemeier’s list of 24-dimensonal even unimodular lattices, use the mass constant to verify that it is correct, and then enumerate all unimodular lattices of dimension n ≤ 23.


Minimal Norm Mass Formula Coxeter Number Unimodular Lattice Decimal Expansion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • J. H. Conway
  • N. J. A. Sloane

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