\begin{table}%t3 \caption{\label{modeldata}Source component parameters for the combined SSC and adiabatic expansion model of the 15, 17, and 19 May 2007 and the 26 May 2008 flares.} \par %\centerline {\small \begin{tabular}{lllclrrrrrrrrrr} \hline\hline Date & Model & Source & $\Delta t$ &$v_{\rm exp}$ &$S_{\rm max,~obs}$&$\alpha_{\rm synch}$&$R_0$ &$\nu_{\rm max,~ obs}$ & $B$ &$S_{\rm NIR,~ synch}$ &$S_{\rm NIR,~ SSC}$ &$S_{\rm X-ray,~ SSC}$\\ & label & & h & in $c$ &[Jy] & &[$R_{\rm s}$]& [GHz] & [G] & [mJy] &[mJy] &[nJy] \\ \hline $1~\sigma$ $\rightarrow$ & & & $\pm$1.0 &$\pm$0.001 &$\pm$0.1&$\pm$0.1 &$\pm$0.1 &$\pm$250 &$\pm$10&$\pm$1.0&$\pm$1.0 &$\pm$20 \\ \hline 15 May 2007& A &$\alpha$& 0.0 & 0.007 & 0.6 & 0.85 & 1.3 & 340 & 33 & 3.1 & $<$0.03 & $<$10 \\ & &$\beta$ & 0.0 & & 0.3 & 0.60 & 0.3 & 840 & 29 & 12 & $<$0.03 & $<$10 \\ & &$\gamma$& 0.30 & & 0.3 & 0.75 & 0.2 & 840 & 32 & 5.6 & $<$0.03 & $<$10 \\ & & & & & & & & & & & & \\ 15 May 2007& B &$\alpha$& 0.0 & 0.017 & 0.6 & 0.65 & 1.3 & 340 & 37 & 8.3 & $<$0.02 & $<$40 \\ & &$\beta$ & 0.0 & & 0.3 & 0.65 & 0.3 & 840 & 30 & 8.4 & $<$0.02 & $<$40 \\ & &$\gamma$& 0.37 & & 0.3 & 0.65 & 0.35 & 810 & 32 & 8.4 & $<$0.02 & $<$40 \\ & & & & & & & & & & & & \\ 17 May 2007& A &$\alpha$& 0.0 & 0.010 & 1.0 & 1.00 & 0.8 & 840 & 66 & 4.7 & $<$0.01 & $<$10 \\ & &$\beta$ & 0.45 & & 0.5 & 0.97 & 0.3 & 1250 & 66 & 4.0 & $<$0.01 & 15 \\ & &$\gamma$& $-0.59$ & & 1.3 & 1.11 & 1.0 & 840 & 69 & 3.2 & $<$0.01 & $<$10 \\ & &$\delta$& $-0.96$ & & 0.5 & 1.02 & 0.3 & 1250 & 68 & 3.2 & $<$0.01 & 12 \\ & & & & & & & & & & & & \\ 17 May 2007& B &$\alpha$& 0.0 & 0.011 & 0.25 & 0.70 & 0.2 & 1360 & 86 & 8.1 & $<$0.01 & 19 \\ & &$\beta$ & 0.36 & & 0.25 & 0.70 & 0.2 & 1360 & 86 & 8.1 & $<$0.01 & 19 \\ & &$\gamma$& $-0.69$ & & 0.17 & 0.70 & 0.2 & 1360 & 65 & 5.1 & $<$0.01 & 21 \\ & &$\delta$& $-1.05$ & & 0.17 & 0.70 & 0.2 & 1360 & 65 & 5.1 & $<$0.01 & 21 \\ & &$\epsilon$&$-0.33$ & & 1.75 & 1.05 & 1.6 & 570 & 68 & 7.1 & $<$0.01 & $<$2 \\ & & & & & & & & & & & & \\ 19 May 2007& A &$\alpha$& 0.0 & 0.007 & 1.30 & 1.07 & 1.0 & 1360 & 67 & 3.5 & $<$0.01 & $<$10 \\ & &$\beta$ & 2.50 & & 1.10 & 1.10 & 0.8 & 1360 & 67 & 0.5 & $<$0.01 & $<$10 \\ & &$\gamma$& 2.90 & & 1.10 & 1.10 & 0.8 & 1360 & 67 & 0.5 & $<$0.01 & $<$10 \\ & & & & & & & & & & & & \\ 19 May 2007& B &$\alpha$& 0.0 & 0.017 & 1.33 & 1.13 & 1.0 & 720 & 68 & 2.5 & $<$0.01 & $<$10 \\ & &$\beta$ & 0.50 & & 1.33 & 1.09 & 1.0 & 720 & 67 & 3.1 & $<$0.01 & $<$10 \\ & &$\gamma$& 2.85 & & 1.50 & 1.30 & 0.8 & 820 & 72 & 1.2 & $<$0.02 & $<$10 \\ & &$\delta$ & 3.30 & & 1.50 & 1.30 & 0.8 & 850 & 72 & 1.2 & $<$0.02 & $<$10 \\ & & & & & & & & & & & & \\ 26 May 2008& A &$\alpha$& 0.0 & 0.005 & 1.1 & 0.68 & 0.5 & 1090 & 30 & 31 & $<$0.02 & 41 \\ & &$\beta$ & $-0.45$ & & 1.0 & 0.68 & 0.5 & 1090 & 40 & 26 & $<$0.02 & 18 \\ & &$\gamma$& 0.52 & & 1.0 & 0.83 & 0.5 & 1030 & 31 & 15 & $<$0.02 & 17 \\ & &$\delta$& 1.03 & & 1.0 & 0.80 & 0.5 & 1160 & 34 & 17 & $<$0.03 & 23 \\ & &$\epsilon$& 1.48 & & 0.8 & 0.77 & 0.5 & 1160 & 48 & 16 & $<$0.01 & $<$10 \\ & &$\zeta$ & 1.90 & & 0.8 & 0.77 & 0.5 & 1160 & 48 & 16 & $<$0.01 & $<$10 \\ & & & & & & & & & & & & \\ 26 May 2008& B &$\alpha$& 0.0 & 0.007 & 1.4 & 0.70 & 0.6 & 1090 & 44 & 39 & $<$0.02 & 24 \\ & &$\beta$ & $-0.40$ & & 1.3 & 0.70 & 0.6 & 1090 & 56 & 35 & $<$0.02 & 13 \\ & &$\gamma$& 0.52 & & 1.1 & 0.77 & 0.6 & 1030 & 36 & 23 & $<$0.02 & 18 \\ & &$\delta$& 1.03 & & 1.3 & 0.80 & 0.5 & 1160 & 33 & 23 & $<$0.04 & 33 \\ & &$\epsilon$& 1.48 & & 1.0 & 0.77 & 0.5 & 1160 & 58 & 20 & $<$0.01 & $<$10 \\ & &$\zeta$ & 1.90 & & 1.0 & 0.73 & 0.5 & 1160 & 56 & 24 & $<$0.01 & $<$10 \\ \hline \end{tabular}} \tablefoot{Labels A and B refer to models with lower and higher expansion velocities, respectively. The flare times $\Delta t$ are given with respect to the peak of the brighter NIR flares. In addition to $v_{\rm exp}$, the $R_0$ values are responsible for the position and width of the infrared flare peaks in time. Different values for $\alpha_{\rm synch}$ are required to match the infrared flux densities.}\vspace*{3.6mm} \end{table}