Frequency analysis of the FWHM. Upper panel: Periodograms of the FWHM timeserie with only HARPS and HARPS-N data in pink, only ESPRESSO data in black and all instruments together in grey. The two rotation periods derived from $\log \left(R_{\mathrm{H}\mathrm{K}}^{\mathrm{\prime }}\right)$ and photometry are represented as, respectively, solid and dotted green lines. Vertical dotted black lines represent the period of the known planets in the system. Lower panel: Periodogram of ESPRESSO data after removing a quadratic-trend. The horizontal dashed lines in the two panels represents the FAP levels at 0.1, 1 and 10%.