History of Densities of the densest known lattice sphere packings

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when	who	what
2026-09-06 13:32	bmatschke	the arXiv number of 3 references was in the sentence, where it is text; moved to the `arxiv` field, which the page renders as a link to the abstract	current reviewed
2026-09-06 02:42	bmatschke	the field is named repeats: the numberdb package already uses restating for rewriting an entry in different digits, which is a different thing, and its argument is published
2026-09-05 19:06	bmatschke	says which table states the shared values first: the densest known lattice in each dimension up to 24 is one this table holds, and its density is that lattice's. Search folds the repeat into the original rather than answering the same number twice
2026-09-05 10:32	zeta3	after the critique: say which lattices the classical table holds (K_11 and K_13 are not there); the range stops at 48 because the catalogue's table does, not for want of closed forms; rigour details say qfrep counted Q_32 and KP_36 and that n=48 was checked for det 1 and evenness only; delta_n comme
2026-09-05 10:15	zeta3 with Claude Code, table-bu	density and centre density of the densest lattice packing known in each dimension n <= 48, from the exact centre densities of the catalogue's table: exact rationals where rational, balls otherwise
2026-09-05 10:15	zeta3	checking that this table can be written to
2026-09-05 10:14	zeta3 with Claude Code, table-build@9bcd2ae	draft: densities of the densest known lattice sphere packings, prose first, entries to follow from generate.py

What changed between 2026-09-06 02:42 and 2026-09-06 13:32

from line 141 (6 lines, 1 more than before) @@ -141,5 +141,6 @@

   Cohn:     bib: H. Cohn, A conceptual breakthrough in sphere packing, Notices of the American-      Mathematical Society 64 (2017), 102–115; arXiv:1611.01685.+      Mathematical Society 64 (2017), 102–115;.+    arxiv: '1611.01685'   Laminated:     bib: J. H. Conway and N. J. A. Sloane, Laminated lattices, Annals of Mathematics

from line 173 (10 lines, 2 more than before) @@ -172,8 +173,10 @@

   Antipode2025:     bib: R. Chen, J. Hu, B. Li, L. Wang and T. Wu, New sphere packings from the antipode-      construction, arXiv:2505.02394 (2025), preprint.+      construction (2025), preprint.+    arxiv: '2505.02394'   DSvW:     bib: M. Dutour Sikirić and W. van Woerden, The lattice packing problem in dimension-      9 by Voronoi's algorithm, arXiv:2508.20719 (2025), preprint.+      9 by Voronoi's algorithm (2025), preprint.+    arxiv: '2508.20719'   Lagrange:     bib: J. L. Lagrange, Recherches d'arithmétique, Nouveaux Mémoires de l'Académie