Meyerhoff manifold

In hyperbolic geometry, the Meyerhoff manifold is the arithmetic hyperbolic 3-manifold obtained by (5, 1) surgery on the figure-8 knot complement. It was introduced by Meyerhoff (1987) as a possible candidate for the hyperbolic 3-manifold of smallest volume, but the Weeks manifold turned out to have slightly smaller volume. It has the second smallest volume

of orientable arithmetic hyperbolic 3-manifolds (where ζ_k is the zeta function of the quartic field of discriminant −283). Chinburg (1987) showed that it is arithmetic.