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A general description of the slow exraction system of a charged particle beam from the Nuclotron is presented. The third integer resonance is used for the slow step-over extraction mechanism. The septum deflectors, that are an electrostatic septum and two superconducting Lambertson magnets, are the most complicated components of the Nuclotron slow extraction system. A detailed design of these elements based on computer simulation is considered too. The septum deflectors are under construction and bench testing before their placement in the Nuclotron ring.

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