Odd unimodular lattices of rank 12 with no norm 1 vectors

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

• 1 isometry class (1 exceptional), mass 1/980995276800.
• 1 possible root systems, see here for statistics of reduced masses for each root system.
• Classified in: M. Kneser, Klassenzahlen definiter quadratischer Formen, Archiv der Math. 8, 241–250 (1957).
• Construction(s): Obtained by Kneser using his neighboring method.
• Extra information: Lattice \(\#1\) is the first odd unimodular lattice with no norm 1 vectors.