It was introduced by Robert 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
is the zeta function of the quartic field of discriminant
(with positive imaginary part) of the quartic
Ted Chinburg (1987) showed that this manifold is arithmetic.
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