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%{\bf Table 7.} Fundamental 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 7.} Fundamental 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&   4000& .6816&   .001&  0.63&   .002&   .00&  .01&  50&  0 \\
1.36 (+)  &6900&   2000& .7175&   .198& 118.63&  1.604&  .17&  1.84& 2350& 2850 \\
1.40 (+)   &6800&   1000& .7553&   .195& 113.03&  1.525&  .17&  1.75& 2150& 2650 \\
1.53 (+)  &6400&   1000& .9367&   .162&  89.58&  .777&   .15&  1.26&  900& 1100 \\
1.66 (+)  &6000&  1000& 1.1810&   .093&  43.17&  .253&   .08&  .69&   350&  450 \\
1.73 (+)  &5800&  1000& 1.3245&   .041&  17.75&  .095&   .03&  .22&   150&  150 \\
1.76 (--)  &5700&  2000& 1.3877&   .012&   3.97&  .017&   .01&  .07&    0&   0 \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
 \multicolumn{11}{c}{$log L / L_{\odot} = 1.81$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\ 
2.30 ($\ast$)   &7100&   9750& .4009&   .004&  2.10&   .038&   .00&  .00&  0&  0 \\
2.33 (+)  &7000&   1000& .5638&   .198&  117.94&  1.751&   .17&  1.90&  2650& 3300 \\
2.36 (+)  &6900&   1000& .5927&   .193&  118.83&  1.679&   .17&  1.89&  2500& 3100 \\
2.53 (+)  &6400&   1000& .7711&   .176&   87.02&  0.812&   .16&  1.47&   950& 1150 \\
2.66 (+)  &6000&   2000& .9664&   .098&   53.43&  0.242&   .08&  .63&    350&  450 \\
2.70 (+)   &5900&   2500& 1.0228&   .059&  23.35&  0.133&   .05&  .32&    200&  250 \\
2.73 (--)  &5800&   1000& 1.0776&   .006&   2.41&  0.010&   .01&  .05&    0&    0  \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
 \multicolumn{11}{c}{$log L / L_{\odot} = 1.72$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\ 
3.26 ($\ast$) &7200&   5000& .3231&   .002& 18.88&   .274&   .02&  .24&  400&  500  \\
3.30 ($\ast$) &7100&   2000& .3384&   .005&  50.80&   .550&   .05&  .67&  800&  1000 \\
3.33 (+)  &7000&   6500& .4749&   .182& 129.50& 1.700&  .16&  1.81& 2650&  3300  \\
3.36 (+) &6900&   3600& .4991&   .184&  127.09& 1.626&  .16&  1.71& 2500&  3100 \\
3.50 (+) &6500&   1000& .6133&   .197&   111.45&  .948&  .17&  1.76& 1350&  1650 \\
3.63 (+) &6100&   2000& .7640&   .133&   66.58&  .375&  .11&  .72&   450&   550  \\
3.66 (+) &6000&   1000& .8083&   .096&   48.44&  .237&  .01&  .05&   350&   450 \\
3.70 (--)  &5900&   2000& .8534&   .010&    3.99&  .016&  .01&  .05&     0&    0 \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
 \multicolumn{11}{c}{$log L / L_{\odot} = 1.61$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\ 
35.30 ($\ast$)  &7100&   3000& .2762&   .093& 73.50&   1.006&   .06&  1.26&  1450&  1800 \\
35.33 ($\ast$)  &7000&   4500& .2894&   .098& 80.27&   .950&   .08&  1.27&  1450&  1700 \\
35.36 (+)  &6900&   2750& .4036&   .162& 131.45& 1.555&   .14&  1.05&  2350&  2900 \\
35.50 (+)   &6500&   1000& .4953&   .194& 111.15&  .783&   .17&  1.55&  1250&  1550 \\
35.60 (+)  &6200&   1000& .5818&   .163&   85.18&  .502&   .14&  1.24&   800&  1000 \\
35.63 (+)  &6100&   3000& .6150&   .124&  58.62&  .328&   .11&  .87&    550&   650 \\
35.66 (--)  &6000&   2000& .6497&   .006&   2.81&  .012&   .01&  .04&     0&    0 \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
 \multicolumn{11}{c}{$log L / L_{\odot} = 1.51$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\ 
4.30 ($\ast$)  &7400&   5600& .2019&   .075& 75.53&   1.029&   .06&  1.14&  1650& 2000  \\
4.33 ($\ast$)  &7300&   4650& .2108&   .090& 87.21&   1.194& .07&  1.31& 1900& 2350  \\
4.36 (+)  &7200&   3450& .2893&   .090& 80.37&  .940&   .08&  1.09&  1350& 1650  \\
4.40 (+)   &7100&   3000& .3030&   .090& 72.34&  .755&   .08&  1.10&  950& 1250   \\
4.43 (\#)  &7000&   6050& .3179&   .109&  84.99&  .713&   .08& 1.22&   1850&
2750  \\
4.46 ($\ast$)  &6900&   3000& .2525& .101& 94.15&  .829& .09&  1.33& 1200& 1400   \\
4.50 (+) &6800& 2000& .3503& .137& 114.52& 1.188& .15& 1.39& 1700& 2100 \\
4.60 (\#) &6500& 2000& .4090& .182& 122.73& .716& .14& 1.36& 1050& 1300 \\
4.70 (+) &6200& 2000& .4791& .141& 77.53& .380& .12& .96& 700& 800 \\
4.73 (--)  &6100&   2000& .5060&   .009&   4.73&  .020&   .01&  .05&   0& 0  \\
\hline
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