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Enumeration of Unimodular Lattices

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Sphere Packings, Lattices and Groups

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 290))

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.

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© 1999 Springer Science+Business Media New York

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Conway, J.H., Sloane, N.J.A. (1999). Enumeration of Unimodular Lattices. In: Sphere Packings, Lattices and Groups. Grundlehren der mathematischen Wissenschaften, vol 290. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6568-7_16

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  • DOI: https://doi.org/10.1007/978-1-4757-6568-7_16

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3134-4

  • Online ISBN: 978-1-4757-6568-7

  • eBook Packages: Springer Book Archive

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