Even lattices of rank 8 and determinant 1

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• 1 isometry class, mass 1/696729600.
• 1 possible root systems, see here for statistics of reduced masses for each root system.
• Classified in: J. L. Mordell, The definite quadratic forms in eight variables with determinant unity, J. Math. Pures Appl. 17, 41–46 (1938).
• Extra information: Lattice \(\#1\) is the \({\rm E}_8\) lattice.