  Results from numerical simulations of full, two flavor QCD thermodynamics at
N_t=4 with domain wall fermions are presented. For the first time a numerical
simulation of the full QCD phase transition displays a low temperature phase
with spontaneous chiral symmetry breaking but intact flavor symmetry and a high
temperature phase with the full $SU(2) \times SU(2)$ chiral flavor symmetry. It
is found that close to the transition in the high temperature phase the U(1)_A
axial symmetry is broken only by a small amount. This result is of particular
interest because of the connection between U(1)_A symmetry breaking and the
expected order of the transition.
