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It would be cool to have a function that given e.g. some smooth reflexive lattice polytope identifies the unique lattice isomorphic representative in the database.
For smooth reflexive this should be doable with the existing function lattice_isomorphic_smooth_polytopes. In general, for reflexive polytopes one should first implement the algorithm described by Grinis and Kasprzyk in arXiv:1301.6641 [math.CO] in polymake.