Even lattices of rank 22 and determinant 3

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

• 31 isometry classes, mass 35359245205219550933/21479988410446669380845568000000.
• 31 possible root systems, see here for statistics of reduced masses for each root system.
• Isometry classes distinguished by invariant: root system.
• Construction(s): Norm 3/2 vectors in duals of rank 23 even lattices of determinant 2. Embeddings of \({\rm A}_2\) in Niemeier lattices.