Even lattices of rank 14 and determinant 7

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

• 4 isometry classes, mass 50443/6025763487744000.
• 4 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): Exceptional vectors in rank 15 unimodular lattices. Norm 7/2 vectors in duals of rank 15 even lattices of determinant 2.