Even lattices of rank 21 and determinant 6

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

• 64 isometry classes, mass 1167793155126363079/7396690223983012872192000000.
• 64 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 22 even lattices of determinant 3. Norm 6/7 vectors in duals of rank 22 even lattices of determinant 7 (unique orbit). Exceptional vectors in rank 22 unimodular lattices.