Unimodular Hunting

By Gaëtan Chenevier


This website is a companion to the paper Unimodular Hunting by the author.

It includes a database of all of our lattices, as well as some PARI/GP scripts to play with those lists and check that they are complete.

(14/07/2020) Tables of unimodular lattices of rank ≤ 27

A list of all unimodular lattices of rank ≤ 27 given in neighbor form (readme).
This is a PARI/GP readable file (2.2 MB).

A companion file for a few helpful gp scripts to play with the list above.
It includes an automatized proof that our lists of lattices are complete (tutorial).

A list of Gram matrices for all the unimodular integral lattices of rank ≤ 27 without norm 1 vectors:
dim8_even, dim16_even, dim24_even (Niemeier lattices),
dim12, dim14, dim15, dim16_odd, dim17, dim18, dim19, dim20, dim21, dim22, dim23, dim24_odd, dim25,
dim26, dim27 (gzipped, 3.5 MB).
See here for the format of these lists.