  We construct new supersymmetric black holes in five-dimensional supergravity
with an arbitrary number of vector multiplets and Fayet-Iliopoulos gauging.
These are asymptotically locally AdS$_5$ and the conformal boundary comprises a
squashed three-sphere with $\text{SU}(2)\times \text{U}(1)$ symmetry. The
solution depends on two parameters, of which one determines the angular
momentum and the Page electric charges, while the other controls the squashing
at the boundary. The latter is arbitrary, however in the flow towards the
horizon it is attracted to a value that only depends on the other parameter of
the solution. The entropy is reproduced by a simple formula involving the
angular momentum and the Page charges, rather than the holographic charges.
Choosing the appropriate five-dimensional framework, the solution can be
uplifted to type IIB supergravity on $S^5$ and should thus be dual to
$\mathcal{N}=4$ super Yang-Mills on a rotating, squashed Einstein universe.
