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The parity violation parameters $A_b$ and $A_c$ of the $Zb{\bar b}$ and$Zc\bar{c}$ couplings have been measured directly, using the polar angledependence of the polarized cross sections at the $Z^0$ pole. Bottom andcharmed hadrons were tagged via their semileptonic decays. Both the electronand muon analyses take advantage of new multivariate techniques to increase theanalyzing power. Based on the 1993-98 SLD sample of 550,000 $Z^0$ decaysproduced with highly polarized electron beams we measure $ A_b = 0.919 \pm0.030_{stat} \pm 0.024_{syst} $, and $ A_c = 0.583 \pm 0.055_{stat} \pm0.055_{syst} $.Comment: 14 pages, 2 figures, to be submitted to Physical Review Letters.  Version two contains changes to meet suggestions of reviewers. Version three  corrects a problem in Figure 2 that I hadn't notice

physical review letters

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