 In particular, a corollary is that given a cusped hyperbolic manifold, at most finitely many Dehn surgeries on it can yield an arithmetic hyperbolic manifold.The Weeks manifold is the hyperbolic three-manifold of smallest volume and the Meyerhoff manifold is the one of next smallest volume.The complement in the three—sphere of the figure-eight knot is an arithmetic hyperbolic three—manifold and attains the smallest volume among all cusped hyperbolic three-manifolds.