Even lattices of rank 16 and determinant 5

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• 5 isometry classes, mass 249451/1156946589646848000.
• 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 5/2 vectors in duals of rank 17 even lattices of determinant 2.