  Let M be an oriented complete hyperbolic n-manifold of finite volume. Using
the definition of volume of a representation previously given by the authors in
[BucherBurgerIozzi2013] we show that the volume of a representation of the
fundamental group of M into the connected component of the isometry group of
hyperbolic n-space, properly normalized, takes integer values if n=2m is at
least 4.
  If M is not compact and 3-dimensional, it is known that the volume is not
locally constant. In this case we give explicit examples of representations
with volume as arbitrary as the volume of hyperbolic manifolds obtained from M
via Dehn fillings.
