English

Unimodular Hunting II

Number Theory 2025-08-27 v1

Abstract

Pursuing ideas in a recent work of the second author, we determine the isometry classes of unimodular lattices of rank 28, as well as the isometry classes of unimodular lattices of rank 29 without nonzero vectors of norm <=2.

Cite

@article{arxiv.2410.19569,
  title  = {Unimodular Hunting II},
  author = {Bill Allombert and Gaëtan Chenevier},
  journal= {arXiv preprint arXiv:2410.19569},
  year   = {2025}
}

Comments

24 pages, 15 tables. All data are available at http://gaetan.chenevier.perso.math.cnrs.fr/pub.html

R2 v1 2026-06-28T19:35:34.585Z