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A compact 12 MeV race-track microtron (RTM) which is under construction at the Technical University of Catalonia includes a quadrupole magnet for horizontal beam focusing and four dipole magnets for beam extraction. As the source of the magnetic field in these magnets a rare-earth permanent magnet (REPM) material is used. In the article the main design characteristics of the quadrupole lens and extraction dipoles are described and a procedure of tuning of their magnetic fields is described. We report on the manufacturing of these magnetic systems and results of the tuning of their magnetic fields.