\begin{table}%t2 %\centering \par \caption{\label{frequency}Fourier amplitudes, phases and identification(s) for the PAIX data of the star S~Arae.} \begin{tabular}{rrrr} \hline \hline \noalign{\smallskip} ID & Frequency & Amplitude & Phase \\ & c/d & mag & cycles \\ \hline \multicolumn{3}{l}{Main frequency and harmonics}\\ $f_1$& 2.2127& 0.3786 & 0.3944\\ $2f_1$& 4.4254& 0.1762 & 0.0429 \\ $3f_1$& 6.6393& 0.1171 & 0.4139 \\ $4f_1$& 8.8510& 0.0742 & 0.2472 \\ $5f_1$& 11.0640& 0.0477 & 0.8300 \\ $6f_1$& 13.2772& 0.0325 & 0.2515 \\ $7f_1$& 15.4891& 0.0262 & 0.7871 \\ $8f_1$& 17.7019& 0.0225 & 0.3477 \\ $9f_1$& 19.9194& 0.0106 & 0.9005 \\ $10f_1$&22.1304& 0.0095 & 0.2901 \\ $14f_1$& 30.9774& 0.0052 & 0.1188 \\ $16f_1$& 35.4040& 0.0038 & 0.8746 \\ $17f_1$& 37.6174& 0.0034& 0.0080 \\ $18f_1$& 39.8299& 0.0030 & 0.5157 \\ \hline \multicolumn{3}{l}{Blazhko modulation frequency}\\ $f_{\rm b}$& 0.0206& 0.02038 & 0.5308 \\ \hline \multicolumn{3}{l}{Modulation triplet frequencies}\\ $f_1-f_{\rm b}$& 2.1921& 0.0482 & 0.3745 \\ $2f_1+f_{\rm b}$& 4 .4475& 0.0216 & 0.2109 \\ $3f_1+f_{\rm b}$& 6.6598& 0.0312 & 0.3859 \\ $4f_1+f_{\rm b}$& 8.8709& 0.0241 & 0.2574 \\ $5f_1+f_{\rm b}$& 11.0833& 0.0213 & 0.0969 \\ $6f_1+f_{\rm b}$& 13.2969& 0.0189 & 0.4058 \\ $7f_1-f_{\rm b}$& 15.4701& 0.0158 & 0.8672 \\ $8f_1-f_{\rm b}$& 17.6824& 0.0148 & 0.9526 \\ $9f_1+f_{\rm b}$& 19.9441& 0.0147 & 0.8734 \\ $10f_1+f_{\rm b}$& 22.1577& 0.0127 & 0.5005 \\ $11f_1+f_{\rm b}$& 24.3713& 0.0100 & 0.9729 \\ $12f_1+f_{\rm b}$& 26.5837& 0.0081 & 0.7888 \\ $13f_1+f_{\rm b}$& 28.7973& 0.0068 & 0.2861 \\ $15f_1+f_{\rm b}$& 33.2218& 0.0047 & 0.8947 \\ \hline \end{tabular} \end{table}