Even lattices of rank 23 and determinant 10

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• 1396 isometry classes, mass 526202672609447742079317499/28639984547262225841127424000000.
• 1014 possible root systems, see here for statistics of reduced masses for each root system.
• Isometry classes distinguished by invariant: \(\mathrm{BV}_{23,5}\).
• 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 24 even lattices of determinant 5.