\documentstyle{l-aa} \begin{document} \pagebreak \noindent {\bf Table 6.} First Overtone Nonlinear Survey for $M=0.58M_{\odot}$ \\ \noindent \begin{tabular}{ccccccccccccccc} \hline Model & $Te$ & 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}{$log L / L_{\odot} = 1.86$} \vspace*{-2.0mm}\\ & & & & & & & & & & \\ 0.10 (--) &7000& 1200& 1.3537& .000& .027& .000& .00& .01& 0& 0 \\ 0.13 ($\ast$) &6900& 6500& .7120& .199& 114.96& 1.536& .17& 1.80& 2250& 2750 \\ 0.16 (+) &6800& 2500& .5480& .069& 55.82& .520& .06& .62& 750& 900 \\ 0.20 (+) &6700& 2500& .5771& .086& 70.29& .644& .07& .74& 900& 1100 \\ 0.23 (+) &6600& 2500& .6085& .098& 76.29& .652& .09& .83& 850& 1050 \\ 0.26 (+) &6500& 2500& .6412& .109& 75.24& .515& .09& .87& 700& 850 \\ 0.30 (+) &6400& 2500& .6743& .119& 76.15& .389& .11& .91& 500& 650 \\ 0.33 (+) &6300& 2500& .7079& .116& 70.03& .307& .10& .81& 500& 600 \\ 0.36 (+) &6200& 2500& .7440& .104& 57.43& .282& .09& .86& 500& 600 \\ 0.40 ($\ast$) &6100& 1800& 1.1082& .113& 60.33& .341& .10& .83& 400& 450 \\ 0.43 ($\ast$) &6000& 1800& 1.1741& .105& 46.24& .289& .09& .61& 350& 400 \\ & & & & & & & & & & \vspace*{-2.0mm}\\ \multicolumn{11}{c}{$log L / L_{\odot} = 1.81$} \vspace*{-2.0mm}\\ & & & & & & & & & & \\ 2.16 (--) &7100& 2200& .1378& .005& 10.28& .028& .00& .14& 50& 50 \\ 2.20 ($\ast$) &7000& 13000& .6128& .186& 111.90& 1.601& .16& 1.82& 2350& 2900 \\ 2.23 (+) &6900& 6500& .4737& .060& 45.26& .444& .05& .68& 650& 800 \\ 2.26 (+) &6800& 2500& .4980& .075& 57.53& .516& .06& .83& 700& 850 \\ 2.30 ($\ast$) &6700& 2500& .7149& .180& 109.43& 1.337& .16& 1.61& 1800& 2250 \\ 2.33 ($\ast$) &6600& 2000& .7536& .174& 103.44& 1.153& .16& 1.51& 1500& 1900 \\ 2.36 ($\ast$) &6500& 9000& .7958& .169& 94.71& .936& .15& 1.39& 1150& 1400 \\ 2.40 (+) &6400& 2000& .6132& .103& 69.99& .328& .09& .97& 450& 550 \\ 2.43 (+) &6300& 12500& .6442& .106& 68.21& .270& .09& .93& 400& 500 \\ 2.46 (+) &6200& 2500& .6770& .098& 56.98& .262& .08& .84& 400& 500 \\ 2.50 (+) &6100& 2500& .7084& .080& 41.17& .218& .07& .66& 400& 450 \\ 2.53 ($\ast$) &6000& 1800& 1.0585& .088& 38.94& 1.058& .08& .65& 350& 450 \\ & & & & & & & & & & \vspace*{-2.0mm}\\ \multicolumn{11}{c}{$log L / L_{\odot} = 1.77$} \vspace*{-2.0mm}\\ & & & & & & & & & & \\ a.0 (--) &7200& 2000& .3615& .000& .00& .000& .00& .00& 0& 0 \\ a.10 (+) &7100& 3500& .3694& .000& .00& .000& .00& .00& 0& 0 \\ a.20 (+) &7000& 2500& .4171& .048& 34.84& .382& .05& .57& 550& 700 \\ a.30 (+) &6900& 2500& .4378& .066& 50.36& .469& .06& .81& 650& 800 \\ a.40 (+) &6800& 2500& .4602& .077& 56.96& .503& .07& .89& 700& 800 \\ a.50 ($\ast$) &6700& 4000& .6579& .184& 110.66& 1.33& .11& .98& 550& 750 \\ a.60 ($\ast$) &6600& 2000& .6934& .183& 102.40& 1.16& .16& 1.50& 1500& 1850 \\ a.70 ($\ast$) &6500& 1800& .7321& .180& 93.88& .952& .15& 1.50& 1150& 1450 \\ a.80 ($\ast$) &6400& 2000& .7732& .164& 86.49& .733& .14& 1.30& 850& 1100 \\ \end{tabular} \pagebreak \noindent {\bf Table 6.} Continued \\ \noindent \begin{tabular}{ccccccccccccccc} \hline Model & $Te$ & 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}{$log L / L_{\odot} = 1.72$} \vspace*{-2.0mm}\\ & & & & & & & & & & \\ 3.10 (--) &7200& 2600& .3484& .000& .10& .002& .00& .01& 0& 0 \\ 3.13 (+) &7100& 2500& .3643& .035& 26.43& .331& .03& .34& 500& 600 \\ 3.16 (+) &7000& 2500& .3820& .056& 55.98& .458& .05& .64& 650& 800 \\ 3.20 (+) &6900& 2500& .4009& .069& 56.63& .485& .06& .76& 700& 850 \\ 3.23 (+) &6800& 2500& .4211& .078& 60.16& .491& .06& .82& 650& 800 \\ 3.26 (+) &6700& 2500& .4429& .081& 62.25& .484& .07& .80& 600& 750 \\ 3.30 ($\ast$) &6600& 800& .6327& .190& 107.58& 1.122& .17& 1.73& 1400& 1800 \\ 3.33 ($\ast$) &6500& 1200& .6672& .184& 94.22& .947& .16& 1.54& 1150& 1400 \\ 3.36 ($\ast$) &6400& 2000& .7044& .171& 85.60& .741& .15& 1.42& 950& 1150 \\ 3.40 (\#) &6300& 1200& 1.4916& .158& 80.46& .586& .14& 1.27& 800& 1000 \\ 3.43 (+) &6200& 2100& .5716& .065& 43.00& .173& .06& .60& 250& 300 \\ 3.46 ($\ast$) &6100& 1800& .8337& .120& 64.79& .309& .11& .81& 500& 550 \\ 3.50 ($\ast$) &6000& 1800& .8826& .090& 46.99& .226& .08& .52& 350& 450 \\ & & & & & & & & & & \vspace*{-2.0mm}\\ \multicolumn{11}{c}{$log L / L_{\odot} = 1.61$} \vspace*{-2.0mm}\\ & & & & & & & & & & \\ 4.16 (--) &7300& 2500& .2714& .004& 2.75& .041& .00& .06& 50& 100 \\ 4.20 (+) &7200& 2500& .2838& .046& 44.46& .506& .04& .61& 800& 950 \\ 4.23 (+) &7100& 2500& .2969& .066& 63.54& .643& .05& .81& 950& 1150 \\ 4.26 (+) &7000& 12200& .3118& .083& 65.68& .636& .08& 1.01& 900& 1150 \\ 4.30 (+) &6900& 15200& .3248& .087& 67.99& .586& .07& .97& 700& 800 \\ 4.33 (+) &6800& 2500& .3427& .086& 70.02& .522& .08& .98& 700& 850 \\ 4.36 ($\ast$) &6700& 4500& .4850& .203& 125.13& 1.244& .17& 1.66& 1850& 2300 \\ 4.40 ($\ast$) &6600& 1700& 1.0233& .202& 114.61& 1.062& .18& 1.77& 1500& 1900 \\ 4.43 ($\ast$) &6500& 1600& .5381& .195& 108.60& .973& .17& 1.66& 1850& 2300 \\ 4.50 ($\ast$) &6300& 1200& 1.2013& .172& 82.98& .690& .15& 1.44& 950& 1150 \\ \hline \end{tabular} \end{document}