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\section*{Methods}  \subsection{HOW WE MADE FIG2} \subsection{Dipole-mode visibilities}  For each star in our sample we derived the frequency power spectrum as the  Fourier transform of the \kepler\ light curve (up to observing quarter 14) 

The centres of each Lorenzian profile was fixed relative to one  another such that the one representing the $\ell=2$ modes was 0.12\dnu to the  left (lower frequency) of the $\ell=0$ profile, and the $\ell=1$ profile was  0.52\dnu to the right (higher frequency) [Huber10_800RGs]. \cite{Huber_2010}.  The shift between the model and the observed folded spectrum that gave the  larges correlation, provided the location of each mode.   %With this method the pattern of the multiple mixed  

by the correlation with the model spectrum. The remaining region was  associated with $\ell=3$ modes (Fig. 1).  The dipole-mode visibility was derived as the integrated power of the  dipole modes relative to that of the radial modes. modes following the approach by   previous studies \citep{Mosser_2011}.  %For normal stars the integrated power in the dipole modes is typically  %about 50\% larger than for the radial modes ($V^2\simeq 1.5$)   %[This 'frequency