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The conceptual design of the magnetic system of the SIS100 synchrotron was described in the Technical Design Report of the FAIR project. The accelerator superconducting magnetic system consists of different types of modules containing the main dipole and quadrupole magnets, different corrector magnets and special units like beam position monitors, particle catchers and others. The first set of full size dipole and quadrupole prototypes was manufactured. Their tests are continued. The final engineering design is carried out by the GSI/JINR collaboration addresses all technical issues of the system units for which adequate solution will be defined. Special designs have to be worked out for the switching-modules needed for beam injection, extraction and transfer. Many special issues are connected with the quadrupole modules. There are 84 such modules of about 4 m long each in the accelerator ring. The essential features of the modules are discussed. General status of the system engineering design is presented.