A magnetic resonance apparatus has a cylindrical gradient coil with an x-gradient coil and a y-gradient coil that are asymmetrical relative to the z-direction of a coordinate system, the z-direction extending along a longitudinal direction of a patient receptacle. Shim coils are provided that generate magnetic fields to homogenize the basic magnetic field, produced by a cylindrical basic field magnet, in an examination volume in the patient receptacle. At least some of the shim coils are asymmetrical relative to the z-direction to minimize coupling induction between the asymmetrical x-gradient coil and y-gradient coil and the asymmetrical shim coils.