A catalogue of Perfect Lattices (Prepared jointly with C. Batut)

(Maintained by the second author alone since September 2010.)

  • See also A Catalogue of Lattices , written by Gabriele Nebe and Neil Sloane.
    1. About perfect lattices. (The second file is a text file.)


    2. Tables on perfect lattices in dimensions 2 to 8.

      Two global tables for the 10916 perfect, 8-dimensional lattices, following one table for dimensions 2 to 7.
    3. Next the correspondence between the notation above and the old notation [1175 Laihem lattices lh(i), 53 Baril lattices bari(i), 9542 Napias lattices nap(i), and 146 Batut lattices batu(i)], both for perfection and eutaxy properties.
    4. Tables of various (very often perfect) lattices in PARI-GP format. (Creation: Nov. 2004.)
      These tables can be loaded under PARI-GP; the comments can be read with any editor.


    5. Voronoi graphs in dimensions 2 to 7; minimal classes in dimensions 2 to 4.
      (Dec. 2004; modif. Nov. 11th, 2013; files on minimal classes expanded from January 16th, 2017 onwards).
      The three PARI-GP files can be downloaded under PARI-GP; the comments can be read with an editor (e.g., emacs).


    6. Strongly eutactic and strongly perfect lattices.
      The two PARI-GP files can be loaded under PARI-GP; the comments can be read with an editor (e.g., emacs).


    7. Varia

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