  For any n\ge 2, we give infinitely many unsplittable links of n components in
the 3-sphere which admit non-trivial surgery yielding the 3-sphere again and
whose components are mutually distinct hyperbolic knots. Berge and Kawauchi
gave 2-component hyperbolic links with those two properties. We can also give
infinitely many 2-component hyperbolic tunnel number one links with such
properties.
