Even lattices of rank 10 and determinant 3

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

• 1 isometry class, mass 1/8360755200.
• 1 possible root systems, see here for statistics of reduced masses for each root system.
• Classified in: M. Kneser, Klassenzahlen definiter quadratischer Formen, Archiv der Math. 8, 241–250 (1957).
• Construction(s): Exceptional vectors in rank 11 unimodular lattices (unique orbit). Norm 3/10 vectors in duals of rank 11 even lattices of determinant 10. Embeddings of \({\rm E}_6\) in rank 16 even unimodular lattices.