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It is important to note that these luminosity values are obtained in a configuration of the collider with four interaction points, for which the beam-beam tune shift can be obtained directly from measurements performed at LEP1 and LEP2 in the 90's. For this reason, the instantaneous luminosity summed over the four interaction points, the only relevant quantity when it comes to evaluate the physics potential, is also shown in Fig.~\ref{fig:lumi}. Should TLEP operate with less detectors (e.g., 1 or 2), the smaller beam-beam effects would tend to increase the instantaneous luminosity at each interaction point by a factor larger than $2/\sqrt{n_{\rm IP}}$, and possibly as large as $4/n_{\rm IP}$. In the latter case, the total instantaneous luminosity would not depend on the number of detectors. Conservatively, the use of two detectors instead of four would reduce the total instantaneous luminosity by a factor $\sqrt{2}$. $\sqrt{2}$, hence would increase the statistical uncertainties reported in the note by less than 20%.