Even lattices of rank 9 and determinant 10

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

• 3 isometry classes, mass 313/1393459200.
• 3 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): Norm 10 characteristic vectors in rank 10 unimodular lattices.