Even lattices of rank 23 and determinant 2

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

• 32 isometry classes, mass 1487175010978381361737/1976158933761093583037792256000000.
• 32 possible root systems, see here for statistics of reduced masses for each root system.
• Isometry classes distinguished by invariant: root system.
• Classified in: J. H. Conway & N. J. A. Sloane, Low dimensional lattices I. Quadratic Forms of Small Determinant, Proc. Roy. Soc. London Ser. A 418, 17–41 (1988).
• Construction(s): Roots in Niemeier lattices. Norm 2/5 vectors in dual of rank 24 even lattices of determinant 5.