Measurement of CP violation parameters with a Dalitz plot analysis of B± → Dπ+π-π0K±

We report the results of a CP violation analysis of the decay B-+/- -> D pi+pi(-)pi K-0(+/-), where D-pi(+)pi(-)pi(0) indicates a neutral D meson detected in the final state pi(+)pi(-)pi(0), excluding K-S(0)pi(0). The analysis makes use of 324x10(6) e(+)e -> B (B) over bar events recorded by the BABAR experiment at the PEP-II e(+)e(-) storage ring. Analyzing the pi(+)pi(-)pi(0) Dalitz plot distribution and the B-+/- -> D-pi(+)pi(-)pi K-0(+/-) branching fraction and decay rate asymmetry, we find the following one-standard-deviation constraints on the amplitude ratio and on the weak and strong phases: 0.06 < r(B)< 0.78, -30 degrees < 76 degrees, -27 degrees < 78 degrees. We also measure the magnitudes and phases of the components of the D-0 -> pi(+)pi(-)pi(0) decay amplitude.