Even lattices of rank 21 and determinant 14

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

• 513 isometry classes, mass 10241947997609969016349/13560598743968856932352000000.
• 452 possible root systems, see here for statistics of reduced masses for each root system.
• Isometry classes distinguished by invariant: \(\mathrm{BV}_{21,7}\).
• 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 7. Norm 14 characteristic vectors in rank 22 unimodular lattices.