\label{fig:moneyplot} 
Normalized visibility of dipolar modes as a function of $\nu_{\rm max}$. The star and circle symbols represent the observed visibility $V^2$ of $\ell=1$ modes (supplementary material). The data is taken from \cite{Mosser_2011} and divided by 1.54 such that in normal oscillators the average visibility is $V^2=1$ \cite{Ballot_2011}. Stars with depressed dipole modes (orange stars) are identified following the same criteria as in \cite{Mosser_2011}. The theoretical band shows the visibility of depressed dipole modes in a $1.6\,M_\odot$ star, as predicted by Eqn.~\ref{eqn:vis}, and is quite insensitive to the mass of the model. The visibility of the depressed dipoles in KIC 8561221 \cite{Garcia_2014} and KIC 9073950 is also shown (square and diamond symbols, respectively). Here we used values for $\tau$  in the range 5-20 days, consistent with \cite{Dupret_2009,Corsaro_2015}.