Even lattices of rank 22 and determinant 7

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

• 153 isometry classes, mass 979663592250514390847/81363592463813141594112000000.
• 146 possible root systems, see here for statistics of reduced masses for each root system.
• Isometry classes distinguished by invariant: \(\mathrm{BV}_{22,7}\).
• Classified in: G. Chenevier & O. Taïbi, Unimodular lattices of rank 29 and related even genera of small determinant, arXiv preprint (2026).
• Construction(s): Exceptional vectors in rank 23 unimodular lattices. Norm 7/2 vectors in duals of rank 23 even lattices of determinant 2.