Time-series of activity diagnostics extracted from CARMENES-VIS spectra of Gl 514 (left panels) and their GLS periodograms (right panels). Except for the CRX index, the other periodograms were calculated after a pre-whitening by removing the clear long-term trend visible in the time-series. The levels of FAPs, determined through a bootstrap analysis, are indicated as horizontal dashed lines (green: FAP 0.1%; yellow: 1%; red: 10%. Last panel: Window function of the CARMENES-VIS data.