Even lattices of rank 15 and determinant 6

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

• 5 isometry classes, mass 377977/289236647411712000.
• 5 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): Norm 6 vectors in rank 16 even unimodular lattices. Norm 3/2 vectors in duals of rank 16 even lattices of residue \({\rm qres}\, {\rm A}_1 \perp -{\rm qres} {\rm A}_1\) (a mod 2 vector of norm 2 mod 4 in a rank 16 even unimodular lattice).