Table 2: Comparison between numerical and theoretical first order eigenvalues ( $\varepsilon ^{1/2} \lambda ^1$). The two sets of numerical values (Cols. 2 and 3) are based on the numerical eigenspectrum given in Fig. 1 and are calculated using a least square method. These values should be very close to each other. The last column is based on Eq. (33).

n
$\mbox{Num.}(\varepsilon^{1/2} \tau^1)$ $\mbox{Num.}(\varepsilon^{1/2} \omega^1)$ $\mbox{Theo.}$

0
-0.0690 -0.0685 -0.0688
1 -0.1224 -0.1237 -0.1239
2 -0.1601 -0.1608 -0.1608
3 -0.1907 -0.1910 -0.1910
4 -0.2171 -0.2173 -0.2172
5 -0.2406 -0.2406 -0.2407
6 -0.2621 -0.2624 -0.2621
7 -0.2822 -0.2819 -0.2820

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