Even lattices of rank 18 and determinant 3

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

• 6 isometry classes, mass 2021971723/509796945261987102720000.
• 6 possible root systems, see here for statistics of reduced masses for each root system.
• Isometry classes distinguished by invariant: root system.
• Construction(s): Exceptional vectors in rank 19 unimodular lattices (unique orbit). Norm 3/10 vectors in duals of rank 19 even lattices of determinant 10. Embeddings of \({\rm E}_6\) in Niemeier lattices.