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Using 580 pb of annihilation data taken with the CLEO–c detector at , the decay $D^0(\overline{D}^0)\to K^\pm\pi^\mp \pi^+\pi^-D^0M(D^0)=1864.845\pm0.025\pm0.022\pm0.053$ MeV, where the first error is statistical, the second error is systematic, and the third error is due to uncertainty in kaon masses. As an intermediate step of the present investigation the mass of the meson has been measured to be MeV. Both and are the most precise single measurements of the masses of these mesons.

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