\begin{table}%t2 \caption{Different measurements of the errors for the perturbative and empirical methods (for $N = 3$).} \label{tab:error} %\centering \small \begin{tabular}{*{5}{c}} \hline \hline &&&& \\[-8pt] & \multicolumn{2}{c}{Perturbative} & \multicolumn{2}{c}{Asymptotic} \\ $\frac{\Omega}{\Omega_{K}}$ & $\frac{\left< \mathcal{E}^2 \right>^{1/2}}{\Delta_n}$ & $p$ & $\frac{\left< \mathcal{E}^2 \right>^{1/2}}{\Delta_n}$ & $p$ \\ &&&& \\[-8pt] \hline 0.037 & 0.0005 & 0.0000 & 0.0114 & 0.0000 \\ 0.111 & 0.0370 & 0.0054 & 0.0141 & 0.0044 \\ 0.186 & 0.1793 & 0.0294 & 0.0124 & 0.0022 \\ 0.262 & 0.4325 & 0.0595 & 0.0135 & 0.0047 \\ 0.339 & 0.7436 & 0.0826 & 0.0174 & 0.0041 \\ 0.419 & 0.9924 & 0.1073 & 0.0109 & 0.0013 \\ 0.502 & 1.0674 & 0.1237 & 0.0085 & 0.0025 \\ 0.589 & 0.9885 & 0.1497 & 0.0036 & 0.0035 \\ \hline 0.589 & 0.3506 & 0.0319 & 0.1235 & 0.0059 \\ \hline \end{tabular} \end{table}