\begin{tabular}{|ccc|ccc|ccc|cc|} \hline
\multicolumn{3}{|c||}{Dim \& Density, \& $\kappa(A)$} & \multicolumn{3}{|c|}{\% Reduction in $\kappa$} & \multicolumn{3}{|c|}{CPU Time (seconds)} &\multicolumn{2}{|c|}{CPU Ratios}\cr\cline{1-3}\cline{3-11}
  $n$ & density & $\kappa(A)$ & Alg. in \cite{doi:10.1287/opre.2022.0592} & Alg 2.2 & Alg. C.1 & Alg. in \cite{doi:10.1287/opre.2022.0592} & Alg 2.2 & Alg C.1 & (Alg. in \cite{doi:10.1287/opre.2022.0592})/Alg 2.1 & (Alg. in \cite{doi:10.1287/opre.2022.0592})/AlgC.1 \cr\hline
 1074 & 1.1e-02 & 2.6e+07 & 0.0e+00 & 9.9e+01 & 9.9e+01 & 47.345 & 7.750 & 4.769 &  6.1 &  9.9 \cr\hline
 2003 & 2.1e-02 & 1.1e+10 & 0.0e+00 & 9.8e+01 & 6.8e+01 & 330.150 & 11.170 & 0.106 & 29.6 & 3127.6 \cr\hline
 3600 & 2.1e-03 & 1.8e+07 & 0.0e+00 & 4.5e+01 & 6.1e+01 & 535.706 & 6.547 & 9.983 & 81.8 & 53.7 \cr\hline
 3134 & 4.6e-03 & 2.6e+12 & -9.7e-04 & 7.5e+01 & 7.0e+01 & 179.904 & 2.412 & 0.384 & 74.6 & 468.9 \cr\hline
 3562 & 1.3e-02 & 1.9e+11 & 0.0e+00 & 8.0e+01 & 7.8e+01 & 1620.562 & 16.285 & 1.697 & 99.5 & 954.7 \cr\hline
 1922 & 8.2e-03 & 1.7e+08 & 0.0e+00 & 9.6e+01 & 8.8e+01 & 187.552 & 3.920 & 0.330 & 47.8 & 569.1 \cr\hline
 4410 & 1.1e-02 & 9.5e+08 & 0.0e+00 & 9.5e+01 & 8.3e+01 & 3640.376 & 2.524 & 2.805 & 1442.2 & 1297.7 \cr\hline
  588 & 6.2e-02 & 2.8e+04 & 9.9e+01 & 9.0e+01 & 9.3e+01 & 21.036 & 0.400 & 1.254 & 52.6 & 16.8 \cr\hline
  494 & 6.8e-03 & 2.4e+06 & 9.0e+01 & 9.1e+01 & 3.3e+01 & 11.579 & 0.741 & 0.101 & 15.6 & 115.0 \cr\hline
  662 & 5.6e-03 & 7.9e+05 & 9.4e+01 & 7.4e+01 & 4.5e+01 & 13.342 & 0.294 & 0.215 & 45.4 & 62.0 \cr\hline
 1824 & 1.2e-02 & 1.9e+06 & 0.0e+00 & 8.6e+01 & 7.0e+01 & 190.816 & 1.820 & 1.497 & 104.9 & 127.5 \cr\hline
 2146 & 1.6e-02 & 1.7e+03 & 0.0e+00 & 5.5e+01 & 4.9e+01 & 430.804 & 1.911 & 13.432 & 225.5 & 32.1 \cr\hline
 2910 & 2.1e-02 & 6.0e+06 & 0.0e+00 & 8.4e+01 & 7.5e+01 & 631.282 & 2.763 & 3.509 & 228.4 & 179.9 \cr\hline
  237 & 1.8e-02 & 2.0e+07 & -5.1e+01 & 7.9e+01 & 6.5e+01 & 0.909 & 0.556 & 0.059 &  1.6 & 15.4 \cr\hline
  957 & 4.5e-03 & 5.1e+09 & 2.8e+01 & 6.1e+01 & 6.5e+01 & 9.483 & 4.814 & 0.125 &  2.0 & 75.6 \cr\hline
  100 & 5.9e-02 & 1.6e+03 & 3.8e+01 & 3.5e+01 & 3.5e+01 & 0.773 & 0.031 & 0.600 & 24.8 &  1.3 \cr\hline
  468 & 2.4e-02 & 1.1e+04 & 8.3e+01 & 7.9e+01 & 7.3e+01 & 12.871 & 1.221 & 0.978 & 10.5 & 13.2 \cr\hline
  729 & 8.7e-03 & 2.4e+09 & 9.2e+01 & 8.3e+01 & 8.4e+01 & 38.291 & 0.327 & 0.971 & 117.3 & 39.5 \cr\hline
\end{tabular}
