Generalized Lomb-Scargle periodograms of HARPS spectroscopic time series. Left column: GLSPs of our HARPS RV time series, its window function, and Hα, Hβ, Hγ, sodium doublet, S-index, full width half maximum, and bisector activity indicators. The vertical dotted lines highlight the orbital frequencies (i.e., inverse periods) of the three known transiting planets plus the posited rotation period of L 98-59 at P_rot ~ 80 days and its first harmonic P_rot∕2. Right column: false alarm probabilities computed from bootstrapping with replacement.