Table 2: Different measurements of the errors for the perturbative and empirical methods (for N = 3).
  Perturbative 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
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
0.589 0.3506 0.0319 0.1235 0.0059

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