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Enumeration of Unimodular Lattices

Grundlehren der mathematischen WissenschaftenPublished 1 January 1999
J. H. Conway, N. J. A. Sloane
Citations2

Abstract

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

Keywords

Mathematics