GLS periodograms of combination of CARMENES VIS, CARMENES NIR, and HARPS datasets. The top, middle, and bottom panels show the GLS periodogram, the GLS periodogram of the residuals after applying the pre-whitening method, and the GLS periodogram of the window function, respectively. The stellar rotation period and its second and third harmonics are shown as vertical yellow bands, centred at 0.206 d⁻¹ (4.9 d), 0.410 d⁻¹ (2.5 d), and 0.617 d⁻¹ (1.6 d). The vertical orange and purple lines indicate the orbital period of planets b and c. The vertical green and cyan dotted lines indicate the orbital period of candidates d and e, respectively. The dashed horizontal black lines corresponds to the FAP levels of 10%, 1%, and 0.1% (from top to bottom).