Unabridged table of reflective lattices of rank 3

TL;DR

This paper provides a comprehensive, explicit catalog of all 8,595 rank three reflective Lorentzian lattices, serving as an archival supplement to previous classification work with a computational tool for generating lattice data.

Contribution

It offers the complete unabridged table of reflective lattices of rank 3, including a TeX source that functions as a Perl script for generating lattice data.

Findings

Catalog of 8,595 rank 3 reflective Lorentzian lattices

TeX source code doubles as a Perl script for data generation

Serves as an archival supplement to prior classification

Abstract

This is the unabridged table of all 8595 rank three reflective Lorentzian lattices, intended as a supplement to the author's paper classifying them. The abridged table in that paper is complete too, but less explicit, so the main purpose of this document is archival. The TeX sourcecode is simultaneously a Perl script, which when run prints out all the lattices in computer-readable format.