Top: periodogram of the Hα emission index of GJ 3293, with a peak above the 3σ confidence level at 41 d and two peaks the above 2σ confidence level at 34 and 70 d. Middle: the Hα index phased to P = 41 d (gray dots); the black dots are binned by 0.1 in phase. Bottom: RVs corrected for the 30.6 and 123.8 d signals against the Hα-index; the colors represent the phase of the 48 d signal from Table 4 (as represented in the middle panel of Fig. 5).