  We perform an eta' mass analysis based on a total of 1130 dynamical gauge
field configurations, with 5 different quark mass values on lattices of size
16^3*32 (SESAM) and 24^3*40 (TkL) at beta = 5.6. We employ the stochastic
estimator technique and spectral methods to deal with the disconnected piece of
the flavour singlet correlation function. We demonstrate that very early
plateau formation in the local eta' mass can be achieved by first ground state
projecting the connected piece of its correlator.
