Even lattices of rank 25 and determinant 2

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

• 121 isometry classes, mass 351514769627820131218308186067/258955866680053703121272297226240000000.
• 121 possible root systems, see here for statistics of reduced masses for each root system.
• Isometry classes distinguished by invariant: root system.
• Classified in: R. Borcherds, The Leech lattice and other lattices, PhD thesis, University of Cambridge (1984).
• Construction(s): Norm -2 vectors in the rank 26 even unimodular Lorentzian lattice. Norm 2/3 vectors in dual of rank 26 even lattices of determinant 3 (unique orbit). Norm 2/7 vectors in dual of rank 26 even lattices of determinant 7. Embeddings of \({\rm E}_7\) in rank 32 even unimodular lattices.