\documentstyle{l-aa} \begin{document} \pagebreak %\noindent %{\bf Table 7.} Fundamental Nonlinear Survey for $M=0.65M_{\odot}$ \\ \noindent \begin{tabular}{ccccccccccc} & & & & & & & & & & \\ \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 \end{tabular} \nopagebreak \end{document}