Determination of the \eta\to\pi^+\pi^-\pi^0 Dalitz Plot slopes and asymmetries with the KLOE detector

We have studied, with the KLOE detector at the DA$\mathrm{\Phi }$NE $\mathrm{\Phi }$-Factory, the dynamics of the decay $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ using data from the radiative $\varphi \to \eta \gamma$ decay for an integrated luminosity $L = 450 \textrm{pb^{-1}}$. From a fit to the Dalitz plot density distribution we obtain a precise measurement of the slope parameters. This should allow to improve the knowledge of the decay amplitude which is sensitive to the u-d quark mass difference. We also present new best results on the C-violating asymmetries in the $\eta \to {\pi }^{+}{\pi }^{-}{\pi }^0$ decay.