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An algorithm for determining the list of smallest volume right-angled hyperbolic polyhedra in dimension 3 is described. This algorithm has been implemented using the program Orb to compute volumes. The smallest 825 polyhedra in the list, as computed by Orb have been determined. However, because the numerical reliability of Orb has not been definitively proved, this list should be considered conjectural.

Exploring the List of Smallest Right-Angled Hyperbolic Polyhedra