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{\bf Table 5.} Fundamental Nonlinear Survey for $M=0.58M_{\odot}$ \\

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\begin{tabular}{ccccccccccc}  \hline

  Model & $T_e$ & NP &  Period &  $\Delta R/R_{ph}$ &  $\Delta u$ &  $\Delta M_{bol}$ &  $\Delta {\log{g_s}}$ &  $\Delta {\log{g_{eff}}}$ &  $\Delta T$ &  $\Delta T_{e}$   \\
    Number & ($^\circ${\em K}) &  &  ({\em days}) &   &  ({\em km/sec})& ({\em mag.})  &   &   &  ($^\circ${\em K})&  ($^\circ${\em K}) \\
\hline
 & & & & & & & & & & \vspace*{-2.0mm}\\
 \multicolumn{11}{c}{$log L / L_{\odot} = 1.81$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\
2.16 (--)   &7100&   2600& .5826&   .000&  .02&   .000&   .00&  .00&  0&  0 \\
2.20 (+)  &7000&   2500& .6128&   .186&  111.90&  1.601&   .16&  1.81&  2350& 2900 \\
2.23 (+)  &6900&   2500& .6442&   .196&  115.29&  1.585&   .17&  1.81&  2300& 2800 \\
2.36 (+)  &6500&   2000& .7958&   .169&   94.70&  .936&   .15&  1.39& 1150& 1400 \\
2.56 (+)  &5900&   2500& 1.1190&   .062&  26.06&  .146&   .05&  .34&    250&  300 \\
2.60 (+)   &5800&   5800& 1.1845&   .042&  17.66&  .095&   .04&  .22&    150&  150 \\
2.63 (--)  &5700&   5700& 1.2399&   .0001&   .05&  0.000&   .00&  .04&    0&    0  \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
 \multicolumn{11}{c}{$log L / L_{\odot} = 1.77$}\vspace*{-2.0mm} \\
 & & & & & & & & & & \\
a.10 (--) &7100&   4300& .5369&   .000& .22&   .005&   .00&  .01&  0&  0  \\
a.20 (+) &7000&  2500& .5643&   .193&  113.04&   1.6876&  .16&  1.88&  2500&  3100 \\
 & & & & & & & & & & \\
 \multicolumn{11}{c}{$log L / L_{\odot} = 1.61$} \\
 & & & & & & & & & & \\
4.20 ($\ast$)  &7200&   6500& .2838&   .046&  44.46&   .506&   .04&  .61&  800&  950 \\
4.23 (+)  &7100&   2000& .3971&   .171& 130.89&   1.717&  .15&  .82&  2700&  3300 \\
4.26 (+)  &7000&   2000& .4170&   .178& 129.49& 1.674&   .15&  .75&  2600&  3250 \\
4.30 (+)   &6900&   2500& .4378&   .186& 129.69&  1.580&   .07&  .97&  700&  800  \\
4.60 (+)  &6000&   2000&  .7079&   .074&   34.05&  .172&   .07&  .47&   300&  350 \\
4.63 (--)  &5900&   1300& .7461&   .002&  .72&  .003&   .01&  .04&    0&   0 \\
\hline
\end{tabular}
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