Even lattices of rank 13 and determinant 6

Complete list here (see the main page for format details).

• 3 isometry classes, mass 691/66217181184000.
• 3 possible root systems, see here for statistics of reduced masses for each root system.
• Isometry classes distinguished by invariant: root system.
• Classified in: G. Chenevier & O. Taïbi, Unimodular lattices of rank 29 and related even genera of small determinant, arXiv preprint (2026).
• Construction(s): Roots in rank 14 even lattices of determinant 3. Norm 6/7 vectors in duals of rank 14 even lattices of determinant 7 (unique orbit). Exceptional vectors in rank 14 unimodular lattices.