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{\bf Event reconstruction}   The only reconstructed quantities used for the determination of the covariance matrices are the lepton direction and the lepton energy (or momentum). Both quantities can be reconstructed with very high more than adequate  precision, as was the case with the detectors built for the LEP collider. In addition, as can be seen from Fig.~\ref{fig:distributions}, the standard model distribution $S^0$ and the optimal observables $f_i$ are smooth functions of the lepton polar angle and energy, hence do not call for a detector with state-of-the-art resolutions. The numerical evaluation of the integrals in Eqs.~\ref{eq:firstInt} to~\ref{eq:lastInt} are however performed with 50 bins in $x$ and $\cos\theta$. This procedure corresponds to conservatively assuming a lepton energy resolution of 1\,GeV and a lepton angular resolution of 20\,mrad, figures vastly exceeded by LEP detectors. {\bf Event selection and particle identification}