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We describe CP violating observables in resonant $W^\pm$ and $W^\pm$ plus onejet production at the Tevatron. We present simple examples of CP violatingeffective operators, consistent with the symmetries of the Standard Model,which would give rise to these observables. We find that CP violating effectscoming from new physics at the $TeV$ scale could in principle be observable atthe Tevatron with $10^6$ $W^\pm$ decays.Comment: 15 pgs with standard LATEX, 7 ps figures embedded with eps

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