  We present a complete description of angular distributions in the presence of
new interactions for the process e+ e- -> Z gamma with polarized beams at
future linear colliders, by considering the most general form-factors allowed
by gauge invariance. We include the possibility of CP violation, and classify
the couplings according to their CP properties. Chirality conserving and
chirality violating couplings give rise to distinct dependence on beam
polarization. We present a comprehensive discussion including both types of
couplings and provide a detailed comparison of the effects due to each. We
discuss some selected asymmetries which would enable isolating effects of the
CP-violating form-factors. We also present sensitivities on the corresponding
couplings achievable at a future linear collider with realistic polarization
and luminosity.
