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\noindent 
{\bf Table 6.} First Overtone Nonlinear Survey for $M=0.58M_{\odot}$ \\

\noindent 
\begin{tabular}{ccccccccccccccc}  \hline

  Model & $Te$ & 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}{$log L / L_{\odot} = 1.86$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\ 
0.10 (--)  &7000&   1200& 1.3537&   .000&  .027&   .000&   .00&  .01&  0&  0 \\
0.13 ($\ast$)  &6900&  6500&  .7120&   .199&   114.96&  1.536&   .17&  1.80& 2250& 2750 \\
0.16 (+)   &6800&   2500& .5480&   .069&   55.82&  .520&   .06&  .62& 750&  900 \\
0.20 (+)  &6700&   2500& .5771&   .086&   70.29&  .644&   .07&  .74& 900&  1100 \\
0.23 (+)  &6600&   2500& .6085&   .098&  76.29&  .652&  .09& .83& 850& 1050 \\
0.26 (+)  &6500&   2500& .6412&  .109&  75.24&  .515&  .09&  .87& 700& 850 \\
0.30 (+) &6400&  2500& .6743&  .119& 76.15& .389& .11& .91& 500& 650 \\
0.33 (+) &6300&  2500& .7079&  .116& 70.03& .307& .10& .81& 500& 600 \\
0.36 (+) &6200&  2500& .7440&  .104& 57.43& .282& .09& .86& 500& 600 \\
0.40 ($\ast$) &6100& 1800& 1.1082&  .113& 60.33& .341& .10& .83& 400& 450 \\
0.43 ($\ast$) &6000& 1800& 1.1741&  .105& 46.24& .289&  .09& .61& 350& 400 \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
  \multicolumn{11}{c}{$log L / L_{\odot} = 1.81$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\ 
2.16 (--)   &7100&   2200& .1378&   .005&  10.28&   .028&   .00&  .14&  50&  50 \\
2.20 ($\ast$)  &7000&     13000& .6128&   .186& 111.90&  1.601&   .16&  1.82&  2350& 2900 \\
2.23 (+)  &6900&   6500& .4737&   .060&  45.26&  .444&   .05&  .68&  650& 800 \\
2.26 (+)  &6800&   2500& .4980&   .075&   57.53&  .516&   .06&  .83& 700&  850 \\
2.30 ($\ast$)  &6700&  2500& .7149&   .180&   109.43&  1.337&   .16&  1.61&  1800&  2250 \\
2.33 ($\ast$)   &6600&   2000& .7536&   .174& 103.44& 1.153&  .16&  1.51& 1500& 1900 \\
2.36 ($\ast$) &6500&  9000& .7958&  .169&  94.71&  .936&  .15& 1.39& 1150& 1400 \\
2.40 (+) &6400&  2000& .6132&  .103&  69.99&  .328&  .09& .97& 450& 550 \\
2.43 (+) &6300& 12500& .6442& .106& 68.21& .270& .09& .93& 400& 500 \\
2.46 (+) &6200& 2500& .6770&  .098& 56.98& .262& .08& .84& 400& 500 \\
2.50 (+) &6100& 2500& .7084&  .080&  41.17& .218& .07& .66& 400& 450 \\
2.53 ($\ast$) &6000&  1800& 1.0585&  .088& 38.94& 1.058&  .08&  .65& 350& 450 \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
  \multicolumn{11}{c}{$log L / L_{\odot} = 1.77$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\ 
a.0 (--) &7200&   2000& .3615&   .000& .00&   .000&   .00&  .00&  0& 0  \\
a.10 (+) &7100&   3500& .3694&   .000& .00&  .000&  .00&  .00&  0& 0  \\
a.20 (+)  &7000&   2500& .4171&   .048& 34.84& .382&  .05&  .57&  550& 700  \\
a.30 (+)   &6900&   2500& .4378&   .066& 50.36&  .469& .06&  .81& 650& 800  \\
a.40 (+) &6800&   2500& .4602&   .077& 56.96&  .503& .07&  .89& 700&  800 \\
a.50 ($\ast$) &6700&  4000& .6579& .184& 110.66& 1.33& .11& .98& 550& 750 \\
a.60 ($\ast$) &6600&  2000& .6934& .183& 102.40& 1.16& .16& 1.50& 1500& 1850 \\
a.70 ($\ast$) &6500& 1800& .7321& .180& 93.88& .952& .15& 1.50& 1150& 1450 \\
a.80 ($\ast$) &6400&   2000& .7732&  .164& 86.49&  .733& .14&  1.30& 850&  1100  \\
\end{tabular}

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\noindent 
{\bf Table 6.} Continued \\

\noindent 
\begin{tabular}{ccccccccccccccc}  \hline

  Model & $Te$ & 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}{$log L / L_{\odot} = 1.72$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\ 
3.10 (--)  &7200&   2600& .3484&   .000&  .10&   .002&   .00&  .01&  0& 0  \\
3.13 (+)  &7100&    2500& .3643&   .035&  26.43&  .331&   .03&  .34&  500& 600  \\
3.16 (+)  &7000&   2500& .3820&   .056&  55.98& .458&   .05&  .64&  650& 800  \\
3.20 (+)  &6900&   2500& .4009&   .069&  56.63& .485&   .06&  .76&  700& 850  \\
3.23 (+)  &6800&   2500& .4211&   .078& 60.16&   .491&  .06&  .82&  650& 800  \\
3.26 (+)  &6700&   2500& .4429&   .081&  62.25&   .484&  .07&  .80&  600& 750  \\
3.30 ($\ast$)   &6600&   800& .6327&   .190& 107.58&  1.122&  .17&  1.73&  1400& 1800  \\
3.33 ($\ast$)  &6500&   1200& .6672&   .184&  94.22& .947&  .16&  1.54&  1150& 1400  \\
3.36 ($\ast$)  &6400&   2000& .7044&   .171& 85.60&   .741&  .15&  1.42&  950& 1150  \\
3.40 (\#) &6300&  1200& 1.4916&  .158&  80.46&  .586&  .14&  1.27&  800&  1000 \\
3.43 (+) &6200& 2100& .5716& .065&  43.00& .173& .06&  .60& 250& 300 \\
3.46 ($\ast$) &6100& 1800& .8337& .120&  64.79& .309& .11& .81& 500& 550 \\
3.50 ($\ast$) &6000& 1800& .8826& .090& 46.99& .226& .08& .52&  350& 450 \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
  \multicolumn{11}{c}{$log L / L_{\odot} = 1.61$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\ 
4.16 (--)  &7300&   2500& .2714&   .004&  2.75&   .041&   .00&  .06&  50& 100  \\
4.20 (+)  &7200&    2500& .2838&   .046&  44.46&  .506&   .04&  .61&  800& 950  \\
4.23 (+)  &7100&   2500& .2969&   .066&  63.54& .643&   .05&  .81&  950& 1150  \\
4.26 (+)  &7000&   12200& .3118&   .083&  65.68& .636&   .08&  1.01&  900& 1150  \\
4.30 (+)  &6900&   15200& .3248&   .087& 67.99&   .586&  .07&  .97&  700& 800  \\
4.33 (+)  &6800&   2500& .3427&   .086&  70.02&   .522&  .08&  .98&  700& 850  \\
4.36 ($\ast$)   &6700&   4500& .4850&   .203& 125.13&  1.244&  .17&  1.66&  1850& 2300  \\
4.40 ($\ast$)  &6600&   1700& 1.0233&   .202&  114.61& 1.062&  .18&  1.77&  1500& 1900  \\
4.43 ($\ast$)  &6500&   1600& .5381&   .195& 108.60&   .973& .17&  1.66&  1850& 2300 \\
4.50 ($\ast$) &6300& 1200& 1.2013& .172& 82.98& .690& .15& 1.44&  950& 1150 \\
\hline
\end{tabular}
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