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{\bf Table 10.} First Overtone Nonlinear Survey for $M=0.75M_{\odot}$ \\

\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}{$log L / L_{\odot} = 1.91$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\ 
1.30  (--)  &7100&   2000& .4394&   .001&   1.04&   .002&  .00&  .02&   0&  0  \\
1.33 (+)  &7000&   2000& .4610&   .042&   34.99&   .004&  .04&  .50& 600&  700 \\
1.36 (+)  &6900&   1000& .4843&   .059&   50.95&   .508&  .05&  .79& 700&  850 \\
1.40 (+)   &6800&   1000& .5083&   .073&   60.51&   .518&  .06&  .93& 750&  900 \\
1.43 (+)  &6700&   2000& .5343&   .074&   64.35&  0.516&  .07&  .98& 650&  850 \\
1.46 ($\ast$)  &6600&  4200&  .7615&   .195&   120.57&  1.289&  .17& 1.72& 1750&  2100 \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
  \multicolumn{11}{c}{$log L / L_{\odot} = 1.81$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\ 
2.26 (--)   &7200&   2000& .3503&   .005&  4.07&   .006&   .00&  .06&  100&  100 \\
2.30 (+)  &7100&   2000& .3667&   .005& 46.90&   .549&     .04&  .62&  800&  700 \\
2.33 (+)  &7000&   800& .3840&  .070& 66.30&   .693&     .06&  .87& 1000& 1250  \\
2.36 (+) &6900&   1000& .4027&   .077& 73.21&   .657&    .07&   .87&  950& 1150 \\
2.40 (+)  &6800&   2000& .4229&   .085& 71.96&   .619&    .08&   1.03& 850& 1050 \\
2.43 ($\ast$) &6700&   4000& .6050&   .200& 120.76& 1.343&    .17&   1.64& 2000& 2500 \\
 & & & & & & & & & & \vspace*{-2.0mm}\\
  \multicolumn{11}{c}{$log L / L_{\odot} = 1.72$} \vspace*{-2.0mm} \\
 & & & & & & & & & & \\ 
3.23 (--) &7300&   3000& .2846&   .007& 6.16&   .094&   .01&  .07&   150&  200 \\
3.26 (+) &7200&   2800& .2975&   .064& 63.79&  .798&   .06&  .95&  1150&  1400 \\
3.30 (+)  &7100&   1200& .3111&   .088& 68.55&  1.013&  .07&  1.21& 1450&  1800 \\ 
3.33 (+) &7000&   1000& .3259&   .095& 77.15&  1.008&  .08&  1.28& 1450&  1800 \\
3.36 (+) &6900&   800& .3413&   .097& 87.91&  .921&   .09&  1.21& 1300&  1600 \\
3.43 (+) &6700&   1000& .3758&   .093& 80.51&  .568&   .08&  1.10&  750&   900 \\
3.46 (+) &6600&   2000& .3950&   .086& 69.31&  .416&   .08&  1.03&  600&   750 \\
3.50  ($\ast$) &6500&   5000& .5574&   .196& 115.59& .881&   .17&  1.56& 1300&  1550 \\  
 & & & & & & & & & & \vspace*{-2.0mm}\\
  \multicolumn{11}{c}{$log L / L_{\odot} = 1.61$} \vspace*{-2.0mm}\\
 & & & & & & & & & & \\ 
35.16 (--)  &7500&   2000& .2142&   .001&  1.04&   .019&   .00&  .01&   50&    0   \\
35.20 (+)  &7400&    1000& .2235&   .019& 17.68&   .286&   .02&  .20&  450&  550   \\
35.23 (+)  &7300&   2000& .2332&   .085& 85.83&  1.189&   .07&  1.24& 2350& 2300  \\
35.26 (+)  &7200&   1000& .2436&   .095& 94.06&  1.272&   .08&  1.34& 2500& 2500  \\
35.30  (+)  &7100&   2000& .2548&   .103& 98.08&  1.209&   .09&  1.34& 1850& 2350  \\
35.33 (+)  &7000&   1000& .2667&   .101& 100.17& 1.069&   .09&  1.30& 1600& 1950  \\
35.36 (+)  &6900&   2000& .2793&   .101& 96.38&  .912&   .09&  1.33& 1300& 1600  \\
35.40 (+)   &6800&   1000& .2927&   .100& 93.04&   .740&   .08&  1.36& 1000& 1250  \\
35.43 (+)  &6700&   1000& .3068&   .098& 86.04&   .573&   .09&  1.39&  750&  900  \\
35.46 (+)  &6600&   2000& .3221&   .091& 77.05&   .459&   .02&  1.26&  700&  800  \\
35.50 ($\ast$)   &6500&   12200& .4508&   .128& 96.06&   .762&   .14&  1.23&  850& 1100  \\
\hline
\end{tabular}
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