\documentstyle{l-aa} \begin{document} \pagebreak %\noindent %{\bf Table 8.} First Overtone Nonlinear Survey for $M=0.65M_{\odot}$ \\ \noindent \begin{tabular}{ccccccccccc} & & & & & & & & & & \\ \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}\\ & & & & & & & & & & \\ 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 \end{tabular} \nopagebreak \end{document}