Even lattices of rank 11 and determinant 10

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

• 3 isometry classes, mass 71/16721510400.
• 3 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): Roots in rank 12 even lattices of determinant 5. Embeddings of \({\rm A}_1 \perp {\rm A}_4\) in rank 16 even unimodular lattices.