SOPHIE data time series and periodograms. Left panels: time series for the SOPHIE (orange triangles) and SOPHIE+ (red circles) radial velocity data of HD 57625, the residual time series obtained after removing the detected Keplerian signal and the activity indexes. For the activity indexes time series, the Pearson correlation coefficient with both original and residual RVs are noted as ρ_RV and ρ_res. Right panels: corresponding generalised Lomb-Scargle periodograms of the time series. The horizontal solid, dashed and dotted lines indicate the 10, 1 and 0.1% FAP thresholds.