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Last year it was a big news that Maryna Viazovska solved the densest sphere packing problem in dimension 8. As you know, the proof for dimension 24 soon followed.

I would like to find the current records of densest sphere packings. I thought that someone managed the records. But I could hardly find such a site except for several fragmentary documents.

Is there anyone who have been managing the records? Is there such a diagram or a table showing the current records like the following diagram in Conway & Sloane's book? enter image description here

P.-S. Park
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2 Answers2

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Nebe and Sloane keep a list of records as part of their catalog of lattices. Among all sources I’m aware of, it’s the most up to date and likely to be maintained.

Henry Cohn
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I think this is what you look for

http://neilsloane.com/doc/BEST/Me194.pdf

K. Sadri
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