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Classification of eight dimensional perfect forms

Mathieu Dutour Sikiric·Achill Schuermann·Frank Vallentin
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Abstract

In this paper, we classify the perfect lattices in dimension 8. There are 10916 of them. Our classification heavily relies on exploiting symmetry in polyhedral computations. Here we describe algorithms making the classification possible.

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Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin. 2006-09-14. Classification of eight dimensional perfect forms. https://doi.org/10.1090/s1079-6762-07-00171-0

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