  The radio galaxy Fornax A (NGC 1316) is a prominent merger remnant in the
outskirts of the Fornax cluster. Its giant radio lobes suggest the presence of
a powerful AGN and thus a central supermassive black hole (SMBH). We present
high-resolution adaptive optics assisted integral-field data of Fornax A, taken
with SINFONI at the Very Large Telescope in the K band. We use axisymmetric
orbit models to determine the mass of the SMBH in the centre of Fornax A. The
three-dimensional nature of our data provides the possibility to directly test
the consistency of the data with axisymmetry by modelling each of the four
quadrants separately. According to our dynamical models, consistent SMBH masses
and dynamical Ks band mass-to-light ratios are obtained for all quadrants, with
<M_BH>=1.3x10^8 M_\odot (rms(M_BH)=0.4x10^8 Msun) and <M/L>=0.68
(rms(M/L)=0.03), confirming the assumption of axisymmetry. For the folded and
averaged data we find M_BH=(1.5+0.75-0.8)x10^8 Msun and M/L=(0.65+0.075-0.05)
(3-sigma errors). Thus the black-hole mass of Fornax A is consistent within the
error with the Tremaine (2002) M-sigma relation, but is a factor ~4 smaller
than expected from its bulge mass and the Marconi&Hunt (2003) relation.
