Even lattices of rank 17 and determinant 14

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

• 37 isometry classes, mass 423771781891/555334363030487040000.
• 36 possible root systems, see here for statistics of reduced masses for each root system.
• Isometry classes distinguished by invariant: \(\mathrm{BV}_{17,7}\).
• 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 18 even lattices of determinant 7. Norm 14/3 vectors in duals of rank 18 even lattices of determinant 3. Embeddings of \({\rm A}_1\perp {\rm A}_6\) in Niemeier lattices.