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%{\bf Table 8.} First Overtone Nonlinear Survey for $M=0.65M_{\odot}$ \\

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\begin{tabular}{ccccccccccc}  
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\multicolumn{11}{l}{\hspace*{-2.0mm}{\bf Table 8.} First Overtone Nonlinear Survey for $M=0.65M_{\odot}$}   \\
 & & & & & & & & & & \\  \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}{$log L / L_{\odot} = 1.91$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\
1.33 (--)  &7000&   1100&  1.3662&   .000&  .18&   .004&   .00&  .00&  50&  0 \\
1.36 (+)  &6900&   1000&  .5276&   .049&   34.44&  .384&   .05&  .54& 600&  700 \\
1.40 (+)   &6800&   1000&  .5548&   .070&   54.45&  .502&   .06&  .79& 700&  850 \\
1.43 (+)  &6700&   1000&  .5838&   .081&   62.73&  .567&   .07&  .86& 750&  950 \\
1.46 ($\ast$)  &6600&   1500&  .8403&   .173&  106.35&  1.219&  .15& 1.48& 1600& 2000 \\
1.50 ($\ast$)   &6500&   2500& .8869&   .171&   97.86&  1.005&  .15& 1.42& 1250& 1550 \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
  \multicolumn{11}{c}{$log L / L_{\odot} = 1.81$} \vspace*{-2.0mm}\\
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2.26 (--)   &7200&   2000& .3643&   .000&  .00&   .000&   .00&  .00&  0&  0 \\
2.30 (+)  &7100&     4000& .3992&   .017& 12.01&  .166&   .01&  .19&  250& 300 \\
2.33 (+)  &7000&   2000& .4185&   .051&  42.24&  .451&   .04&  .67&  650& 800 \\
2.40 (+)  &6800&   1000& .4651&   .076&   60.79&  .498&   .07&  1.03& 700&  850 \\
2.43 (+)  &6700&  2000& .4850&   .082&   63.22&  .501&   .17&  .94&  600&  750 \\
2.46 ($\ast$)   &6600&   1500& .6921&   .194& 114.19& 1.199&  .17&  1.76& 1600& 1950 \\
2.50 ($\ast$)  &6500&   750& .7303&   .188&   100.03& 1.001&  .17&  1.69& 1200& 1550 \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
  \multicolumn{11}{c}{$log L / L_{\odot} = 1.72$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\
3.23 (--) &7300&   4000& .3088&   .000& .1&   .002&   .00&  .00&  0& 0  \\
3.26 (+) &7200&   2000& .3231&   .025& 18.87&  .274&  .02&  .24&  400& 500  \\
3.33 (+)  &7000&   10000& .3543&   .067& 65.02& .619&  .06&  .80&  950& 1150  \\
3.40 (+)   &6800&   2000& .3904&   .084& 69.33&  .547& .07&  1.03& 800& 950  \\
3.43 ($\ast$) &6700&   4300& .4098&   .201& 127.02&  1.323& .17&  1.64& 1950&  2450 \\
3.46 ($\ast$) &6600&   2350& .5819&   .203& 116.83&  1.144& .18&  1.77& 1650&  2000  \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
  \multicolumn{11}{c}{$log L / L_{\odot} = 1.61$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\
35.16 (--)  &7500&   2000& .2316&   .000&  .1&   .002&   .00&  .00&  0& 0  \\
35.20 (--)  &7400&    7200& .2421&   .001&  .95&  .016&   .00&  .01&  0& 0  \\
35.23 (+)  &7300&   2000& .2526&   .043&  38.25& .535&   .04&  .46&  800& 1000  \\
35.26 (+)  &7200&   1000& .2640&   .083&  69.28& .951&   .07&  1.17&  1400& 1700  \\
35.33 (+)  &7000&   1000& .2893&   .098& 80.24&   .949&  .08&  1.27&  1350& 1700  \\
35.40 (+)  &6800&   1000& .3179&   .095&  83.83&   .652&  .08&  1.13&  900& 1100  \\
35.43 (+)   &6700&   2000& .3338&   .090& 76.27&  .476&  .07&  1.08&  650& 800  \\
35.46 ($\ast$)  &6600&   9600& .3512&   .192&  117.87& .984&  .17&  1.56&  1450& 1750  \\
35.50 ($\ast$)  &6500&   2500& .4956&   .194& 111.16&   .783&  .17&  1.55&  1100& 1550  \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
  \multicolumn{11}{c}{$log L / L_{\odot} = 1.51$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\
4.23 (--)  &7600&   5500& .1857&   .000& .01&   .000&   .00&  .00&  0&   0 \\
4.26 (--)  &7500&   8750& .1934&   .0001& 1.27&   .022&   .00&  .01&  50&  0 \\
4.30 (+)  &7400&   3600& .2019&   .075& 75.50& 1.028&   .06&  1.14&  1650& 2000  \\
4.33 (+)   &7300&   1000& .2107&   .090& 87.21&  1.194&   .07&  1.31&  1900& 2350    \\
4.43 (+) &7000& 1000& .2412&  .102& 96.83& .987& .08&  1.30& 1450& 1800 \\
4.53 (+)  &6700&   1000& .2776&   .096&  82.44&  .499& .09& 1.34&   750& 900 \\
4.56 (+)  &6600&   2000& .2912&   .087&  73.48&  .426&   .08& 1.12& 600& 750 \\
4.60 ($\ast$) &6500& 3250& .3068& .181& 114.18& .671& .14& 1.41& 1300& 1600 \\
4.63 ($\ast$)  &6400&   4000& .4306&   .161&   97.36&  .704&   .14&  1.33&  1100&    1350 \\
\hline
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