Even lattices of rank 2 and determinant 3

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

• 1 isometry class, mass 1/12.
• 1 possible root systems, see here for statistics of reduced masses for each root system.
• Construction(s): Exceptional vectors in rank 3 unimodular lattices (unique orbit). Norm 3/10 vectors in duals of rank 3 even lattices of determinant 10.
• Extra information: Lattice \(\#1\) is the \({\rm A}_2\), or hexagonal, lattice.