Even lattices of rank 7 and determinant 6

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

• 1 isometry class, mass 1/207360.
• 1 possible root systems, see here for statistics of reduced masses for each root system.
• Classified in: J. H. Conway & N. J. A. Sloane, Low dimensional lattices I. Quadratic Forms of Small Determinant, Proc. Roy. Soc. London Ser. A 418, 17–41 (1988).
• Construction(s): Norm 6 vectors in rank 8 even unimodular lattices. Norm 3/2 vectors in duals of rank 8 even lattices of residue \({\rm qres}\, {\rm A}_1 \perp -{\rm qres} {\rm A}_1\) (a mod 2 vector of norm 2 mod 4 in a rank 8 even unimodular lattice).