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LattE (Lattice point Enumeration) is a computer software dedicated to the problems of counting lattice points and integration inside convex polytopes. LattE contains the first ever implementation of Barvinok's algorithm. The LattE macchiato version (by M. Köppe) incorporated fundamental improvements and speed ups. Now the latest version, LattE integrale, has the ability to directly compute integrals of polynomial functions over polytopes and in particular to do volume computations.
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