Even lattices of rank 3 and determinant 6

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

• 1 isometry class, mass 1/24.
• 1 possible root systems, see here for statistics of reduced masses for each root system.
• Construction(s): Norm 6/5 vectors in duals of rank 4 even lattices of determinant 5.
• Extra information: Lattice \(\#1\) is the \({\rm A}_1 \perp {\rm A}_2\) root lattice. Embeddings of \({\rm A}_5\) in rank 8 even unimodular lattices.