\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
 2000 & 1.0e-03 & 2.0e+06 & -4.8e+01 & 5.3e+01 & 4.4e+01 & 16.096 & 3.723 & 0.578 &  4.3 & 27.9 \cr\hline
 2500 & 8.1e-04 & 2.5e+06 & -5.0e+01 & 5.2e+01 & 4.7e-13 & 22.520 & 7.593 & 0.093 &  3.0 & 241.6 \cr\hline
 3000 & 6.7e-04 & 3.0e+06 & -1.8e+01 & 3.5e+01 & 1.3e+01 & 33.939 & 4.365 & 0.419 &  7.8 & 81.0 \cr\hline
 3500 & 5.8e-04 & 3.5e+06 & -1.9e+01 & 4.3e+01 & 4.9e+01 & 43.244 & 7.401 & 1.644 &  5.8 & 26.3 \cr\hline
 4000 & 5.0e-04 & 4.0e+06 & -4.4e+01 & 3.5e+01 & 4.8e+00 & 58.427 & 8.160 & 0.339 &  7.2 & 172.3 \cr\hline
 4500 & 4.5e-04 & 4.5e+06 & -3.0e+01 & 3.3e+01 & 4.2e+01 & 70.001 & 4.003 & 2.368 & 17.5 & 29.6 \cr\hline
 5000 & 4.0e-04 & 5.0e+06 & -4.4e+01 & 3.9e+01 & 3.9e+01 & 85.027 & 15.789 & 2.618 &  5.4 & 32.5 \cr\hline
 5500 & 3.7e-04 & 5.5e+06 & -3.5e+01 & 2.8e+01 & 3.6e+01 & 102.306 & 3.171 & 3.028 & 32.3 & 33.8 \cr\hline
 6000 & 3.3e-04 & 6.0e+06 & -4.3e+01 & 3.0e+01 & 3.4e+01 & 131.942 & 8.180 & 4.213 & 16.1 & 31.3 \cr\hline
 6500 & 3.1e-04 & 6.5e+06 & -2.9e+01 & 2.7e+01 & 3.2e+01 & 150.446 & 7.180 & 4.973 & 21.0 & 30.3 \cr\hline
 7000 & 2.9e-04 & 7.0e+06 & -2.9e+01 & 3.3e+01 & 3.0e+01 & 176.338 & 19.705 & 5.695 &  8.9 & 31.0 \cr\hline
 7500 & 2.7e-04 & 7.5e+06 & -4.1e+01 & 3.2e+01 & 2.8e+01 & 201.914 & 22.698 & 6.576 &  8.9 & 30.7 \cr\hline
 8000 & 2.5e-04 & 8.0e+06 & -1.9e+01 & 3.2e+01 & 2.7e+01 & 213.641 & 26.429 & 6.048 &  8.1 & 35.3 \cr\hline
 8500 & 2.4e-04 & 8.5e+06 & -2.8e+01 & 2.5e+01 & 2.6e+01 & 255.923 & 10.842 & 6.544 & 23.6 & 39.1 \cr\hline
 9000 & 2.2e-04 & 9.0e+06 & -1.5e+01 & 8.7e+00 & 9.3e+00 & 283.656 & 4.197 & 3.164 & 67.6 & 89.7 \cr\hline
 9500 & 2.1e-04 & 9.5e+06 & -4.2e+01 & 2.6e+01 & 2.3e+01 & 326.533 & 18.083 & 7.343 & 18.1 & 44.5 \cr\hline
10000 & 2.0e-04 & 1.0e+07 & -3.2e+01 & 2.2e+01 & 1.8e+01 & 351.300 & 12.470 & 7.560 & 28.2 & 46.5 \cr\hline
10500 & 1.9e-04 & 1.0e+07 & -1.2e+01 & 2.7e+01 & 2.1e+01 & 385.074 & 34.258 & 9.799 & 11.2 & 39.3 \cr\hline
11000 & 1.8e-04 & 1.1e+07 & -4.1e+01 & 2.2e+01 & 1.9e+01 & 459.240 & 29.053 & 12.083 & 15.8 & 38.0 \cr\hline
11500 & 1.7e-04 & 1.1e+07 & -3.4e+01 & 2.3e+01 & 2.0e+01 & 491.016 & 21.515 & 12.149 & 22.8 & 40.4 \cr\hline
12000 & 1.7e-04 & 1.2e+07 & -3.0e+01 & 2.2e+01 & 1.9e+01 & 522.207 & 30.531 & 21.476 & 17.1 & 24.3 \cr\hline
12500 & 1.6e-04 & 1.3e+07 & -3.1e+01 & 4.4e+00 & 3.7e+00 & 554.995 & 20.494 & 4.251 & 27.1 & 130.6 \cr\hline
13000 & 1.5e-04 & 1.3e+07 & -2.9e+01 & 2.4e+01 & 1.8e+01 & 607.047 & 110.059 & 17.378 &  5.5 & 34.9 \cr\hline
13500 & 1.5e-04 & 1.4e+07 & -3.0e+01 & 2.2e+01 & 1.8e+01 & 672.009 & 31.280 & 24.296 & 21.5 & 27.7 \cr\hline
14000 & 1.4e-04 & 1.4e+07 & -2.9e+01 & 2.2e+01 & 1.7e+01 & 719.140 & 33.481 & 13.514 & 21.5 & 53.2 \cr\hline
14500 & 1.4e-04 & 1.4e+07 & -3.4e+01 & 1.5e+01 & 1.2e+01 & 905.783 & 19.809 & 11.997 & 45.7 & 75.5 \cr\hline
15000 & 1.3e-04 & 1.5e+07 & -4.1e+01 & 1.6e+01 & 1.1e+01 & 925.496 & 25.721 & 11.144 & 36.0 & 83.0 \cr\hline
\end{tabular}
