Even lattices of rank 19 and determinant 6

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

• 27 isometry classes, mass 82996613120693/20862459606105933742080000.
• 27 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 6/5 vectors in duals of rank 20 even lattices of determinant 5. Embeddings of \({\rm A}_5\) in Niemeier lattices.