Signal search with GLS periodograms in the spectral activity indicators (left) and photometric data (right) of HN Lib. The data of the activity indicators were pre-whitened by subtracting the long-period ~360 d or ~180 d signals accordingly, whereas the photometric data were detrended using CAFM to remove the appearing long-term trends. Original periodograms are shown in grey and the corrected ones in black. We mark the 36-day signal from the RVs with a red solid line and the 113-day period with a blue solid line. The common alias pair of the activity indicators with periods of ~125 d and ~94 d are depicted by green dashed and solid lines, respectively. FAPs of 10, 1, and 0.1% were calculated with the analytical expression of Zechmeister & Kürster (2009) and are shown with the horizontal grey dashed lines from bottom to top.