We compare the chemical potential associated with the onset of non-zero baryon number density on 6(4) and 8(4) lattices at beta = 5.1 and ma = 0.01. We provide evidence for Z(3) tunnelling. We determine a critical chemical potential of mu a similar or equal to 0.1 which is unexpectedly low. We also determine the dependence of the onset of the observed phase transition on the quark mass. The physically misleading result of the quenched theory is shown to persist despite the inclusion of the complex fermion determinant.