  We present numerical evidences for the existence of rotating black hole
solutions in d-dimensional Einstein-Maxwell theory with a cosmological constant
and for $d$ odd. The metric used possesses $(d+1)/2$ Killing vectors and the
solutions have $(d-1)/2$ equal angular momenta. A Schwarschild-type coordinate
is used for the radial variable and both signs of the cosmological constant are
emphasized. Several properties of the solutions are studied, namely their
surface gravity, mass and angular momentum as functions of two parameters: the
magnetic field and the angular velocity at the horizon. The influence of the
electromagnetic field on the domain of existence of the black holes is studied
are compared to the vacuum case where analytic solutions are available.
