\begin{table}%t3
\caption{\label{tab:detectabilitylimits}The $\beta$-intervall in which an evolutionary effect on SN~magnitudes would pass undetected by statistical and physical detectability criteria.}
\par
%\centerline
 $${\small
\begin{tabular}{r|r@{$~$,$~$}l|r@{$~$,$~$}l|r@{$~$,$~$}l|r@{$~$,$~$}l|r@{$~$,$~$}l|r@{$~$,$~$}l|r@{$~$,$~$}l|r@{$~$,$~$}l}
\hline
\hline
 & \multicolumn{8}{|c|}{\textbf{Model $1$}} & \multicolumn{8}{c}{\textbf{Model $2.1$}} \\
 & \multicolumn{8}{|c|}{} & \multicolumn{8}{c}{} \\
\multicolumn{1}{c|}{criterion} & \multicolumn{4}{c|}{$68\%$ CL} & \multicolumn{4}{c|}{$95\%$ CL} & \multicolumn{4}{c|}{$68\%$ CL} & \multicolumn{4}{c}{$95\%$ CL} \\
\hline
$\chi^2<\chi^2_{\rm cut}$ & \multicolumn{4}{c|}{$[\;-0.24,0.26\;]$} & \multicolumn{4}{c|}{$[\;\underline{-0.28},0.32\;]$} & \multicolumn{4}{c|}{$[\;-0.28,0.28\;]$} & \multicolumn{4}{c}{$[\;\underline{-0.33},0.33\;]$} \\
 & \multicolumn{4}{c|}{} & \multicolumn{4}{c|}{} & \multicolumn{4}{c|}{} & \multicolumn{4}{c}{} \\
\multicolumn{1}{c|}{Consistency} & \multicolumn{2}{c|}{$z_{\rm cut}=0.95$} & \multicolumn{2}{c|}{$z_{\rm cut}=1.20$} & \multicolumn{2}{c|}{$z_{\rm cut}=0.95$} & \multicolumn{2}{c|}{$z_{\rm cut}=1.20$} & \multicolumn{2}{c|}{$z_{\rm cut}=0.95$} & \multicolumn{2}{c|}{$z_{\rm cut}=1.20$} & \multicolumn{2}{c|}{$z_{\rm cut}=0.95$} & \multicolumn{2}{c}{$z_{\rm cut}=1.20$} \\
\multicolumn{1}{c|}{of:} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c}{} \\
\multicolumn{1}{c|}{$\Omega_{{\rm M}}^{\rm lr} \leftrightarrow \Omega_{{\rm M}}^{\rm hr}$} & $[\;-0.20$ & $0.18\;]$ & $[\;-0.18$ & $0.15\;]$ & $[\;(-0.45)$ & $0.38\;]$ & $[\;-0.43$ & $0.28\;]$ & $[\;-0.23$ & $0.20\;]$ & $[\;-0.20$ & $0.17\;]$ & $[~(-0.6)$ & $0.37\;]$ & $[\;-0.45$ & $0.32\;]$ \\
\multicolumn{1}{c|}{$w_0^{\rm lr} \leftrightarrow w_0^{\rm hr}$}  & $[\;-0.39$ & $0.33\;]$ & $[\;\underline{-0.17}$ & $\underline{0.13}\;]$ & \multicolumn{2}{c|}{$(...)$} & $[\;-0.40$ & $\underline{0.23}\;]$ & $[~(-0.6)$ & $0.35\;]$ & $[\;\underline{-0.19}$ & $\underline{0.15}\;]$ & $[~~\:\:(...)\;~$ & $0.44\;]$ & $[\;-0.44$ & $\underline{0.26}\;]$ \\
\multicolumn{1}{c|}{$w_a^{\rm lr} \leftrightarrow w_a^{\rm hr}$} & $[~~\:\:(...)\;~$ & $0.41\;]$ & $[\;-0.22$ & $0.15\;]$ & \multicolumn{2}{c|}{$(...)$} & $[~~\:\:(...)\;~$ & $0.26\;]$ & $[~~\:\:(...)\;~$ & $0.42\;]$ & $[\;-0.25$ & $0.17\;]$ & \multicolumn{2}{c|}{$(...)$} & $[~~\:\:(...)\;~$ & $0.30\;]$ \\
\hline
 & \multicolumn{8}{|c|}{\textbf{Model $2.2$}} & \multicolumn{8}{c}{\textbf{Model $2.3$}} \\
 & \multicolumn{8}{|c|}{} & \multicolumn{8}{c}{} \\
\multicolumn{1}{c|}{criterion} & \multicolumn{4}{c|}{$68\%$ CL} & \multicolumn{4}{c|}{$95\%$ CL} & \multicolumn{4}{c|}{$68\%$ CL} & \multicolumn{4}{c}{$95\%$ CL} \\
\hline
$\chi^2<\chi^2_{cut}$ & \multicolumn{4}{c|}{$[\;-0.12,0.14\;]$} & \multicolumn{4}{c|}{$[\;\underline{-0.14},0.16\;]$} & \multicolumn{4}{c|}{$[\;-0.05,0.05\;]$} & \multicolumn{4}{c}{$[\;\underline{-0.06},\underline{0.06}\;]$} \\
 & \multicolumn{4}{c|}{} & \multicolumn{4}{c|}{} & \multicolumn{4}{c|}{} & \multicolumn{4}{c}{} \\
\multicolumn{1}{c|}{Consistency} & \multicolumn{2}{c|}{$z_{\rm cut}=0.95$} & \multicolumn{2}{c|}{$z_{\rm cut}=1.20$} & \multicolumn{2}{c|}{$z_{\rm cut}=0.95$} & \multicolumn{2}{c|}{$z_{\rm cut}=1.20$} & \multicolumn{2}{c|}{$z_{\rm cut}=0.95$} & \multicolumn{2}{c|}{$z_{\rm cut}=1.20$} & \multicolumn{2}{c|}{$z_{\rm cut}=0.95$} & \multicolumn{2}{c}{$z_{\rm cut}=1.20$} \\
\multicolumn{1}{c|}{of:} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c|}{} & \multicolumn{2}{c}{} \\
\multicolumn{1}{c|}{$\Omega_{{\rm M}}^{\rm lr} \leftrightarrow \Omega_{{\rm M}}^{\rm hr}$} & $[\;-0.10$ & $0.11\;]$ & $[\;\underline{-0.09}$ & $0.08\;]$ & $[\;-0.21$ & $0.23\;]$ & $[\;-0.21$ & $0.14\;]$ & $[\;-0.04$ & $0.06\;]$ & $[\;\underline{-0.04}$ & $\underline{0.04}\;]$ & $[\;-0.08$ & $0.12\;]$ & $[\;-0.08$ & $0.07\;]$ \\
\multicolumn{1}{c|}{$w_0^{\rm lr} \leftrightarrow w_0^{\rm hr}$}  & $[\;-0.20$ & $0.26\;]$ & $[\;\underline{-0.09}$ & $\underline{0.07}\;]$ & $[\;-0.38$ & $0.43\;]$ & $[\;-0.21$ & $\underline{0.13}\;]$ & $[\;-0.09$ & $0.20\;]$ & $[\;\underline{-0.04}$ & $\underline{0.04}\;]$ & $[\;-0.16$ & $0.28\;]$ & $[\;-0.09$ & $0.07\;]$ \\
\multicolumn{1}{c|}{$w_a^{\rm lr} \leftrightarrow w_a^{\rm hr}$} & $[~(-0.6)$ & $0.36\;]$ & $[\;-0.12$ & $0.08\;]$ & $[~~\:\:(...)\;~$ & $(0.7)\;]$ & $[~(-0.3)$ & $0.15\;]$ & $[\;-0.24$ & $0.28\;]$ & $[\;-0.07$ & $0.07\;]$ & $[~(-0.4)$ & $(0.4)~]$ & $[\;-0.15$ & $0.09\;]$ \\
\hline
\end{tabular}}$$
\medskip
Values in round brackets $()$ lie outside the scan range, and were obtained by extrapolation. $(...)$~means that no limits fell within the scan range and no meaningful extrapolation was possible.
\end{table}