Search for CP-violation in the decay of neutral kaons to $\pi^{+}\pi^{- }\pi^{0}$

The time-dependent rate asymmetry of initial \ko and \kob decaying into \threepi was measured in order to reveal the CP-violating amplitude of the \ks \rightarrow \threepi decay. For the real and the imaginary parts of \eta_{+-0}, we find \mbox{\rm Re}(\eta_{+-0}) = (6 \pm 13_{\mbox{\rm stat.}}\pm 1_{\mbox{\rm syst.}})\times 10^{-3} and \mbox{\rm Im}(\eta_{+-0}) = (-2 \pm 18_{\mbox{\rm stat.}}\pm 3_{\mbox{\rm syst.}})\times 10^{-3} %\mbox{\rm Im}(\eta_{+-0}) = (-2 \pm 18_{\mbox{\rm stat.}}\pm 2_{\mbox{\rm syst.}})\times 10^{-3} which correspond to |\eta_{+-0}|<0.037 with 90\% CL.