Signal search with GLS periodograms in the RV data of HN Lib. The first panel shows the window function of the combined CARMENES, HIRES, and HARPS dataset. In the second panel, we show the GLS of only the CARMENES data. The subsequent panels present the GLS periodograms of the combined data. Each panel shows the residuals after subtracting models of increasing complexity. Inset texts describe the type of model that was applied to the data before the GLS was generated. A red solid line marks the period of the 36-day signal and the blue line shows the 113-day signal, while the green line denotes the rotation period of HN Lib. The 365 d alias frequencies of the 113-day signal and the stellar rotation period are highlighted by dashed lines. FAPs of 10, 1, and 0.1% were calculated, using the analytical expression of Zechmeister & Kürster (2009) and are shown by the horizontal gray dashed lines.