Families of lattices with an unbounded number of unit vectors
Abstract
3 families of 4-dimensional lattices Lk, Mk, Mk / 2 ⊂ R2 are defined. Each lattice is defined by 2 quadratic extensions and has a finite number of unit vectors, but the number of unit vectors in each of the 3 familes is unbounded. L3 is the Moser lattice.
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