CARMENES input catalogue of M dwarfs: III. Rotation and activity from high-resolution spectroscopic observations

I. R., E. H and J. C. M. acknowledge support from the Spanish Ministry of Economy and Competitiveness (MINECO) and the Fondo Europeo de Desarrollo Regional (FEDER) through grant ESP2016-80435-C2-1-R, as well as the support of the Generalitat de Catalunya/CERCA programme