\begin{table}%t4 \caption{\label{tab-chi}Spectral classification and rotational broadening.} %\centerline {\small \begin{tabular}{lccccc} \hline \hline \noalign{\smallskip} Template &Spectral & $v \sin i^{a}$ (km~s$^{-1}$) & $f$ &$\chi^2_{\nu}$ & $v \sin i^{b}$ (km~s$^{-1}$) \\ &type & ($\mu=0.5$)& &(d.o.f.~=~496) & [$\mu=0.0$, $\mu$ at continuum] \\ \hline \noalign{\smallskip} HD10780 & K0~V & $89.5 \pm 1.2$ & $1.20 \pm 0.01$ & 2.1 & [$84.7 \pm 1.8$, $91.4 \pm 2.0$] \\ HD10476 & K1~V & $89.6 \pm 1.2$ & $1.17 \pm 0.01$ & 1.8 & [$84.8 \pm 1.6$, $91.2 \pm 4.3$] \\ HD16160 & K3~V & $89.0 \pm 1.2$ & $0.97 \pm 0.01$ & 1.0 & [$84.3 \pm 1.2$, $91.1 \pm 1.3$] \\ HD 6660 & K4~V & $87.7 \pm 1.2$ & $0.728\pm 0.007$ & 1.0 & [$83.2 \pm 1.1$, $90.0 \pm 1.1$] \\ HD10436 & K5~V & $86.9 \pm 0.6$ &$ 0.785 \pm 0.008$ & 0.9 & [$82.4 \pm 1.2$, $89.4 \pm 1.3$] \\ \hline \end{tabular}} \medskip $^{a}$ Uncertainties are 1-$\sigma$ corresponding to $\chi^{2}_{\min}+1$ (Lampton et~al. 1976); $^{b}$ uncertainties are 1-$\sigma$ and were estimated using the Monte-Carlo method by simulating a total of 1~000~000~copies of our target spectrum using the bootstrap technique outlined in \cite{steeghs+jonker07-1}. \end{table}