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Determine whether counter-rotating beams and field reversals suppress spurious vertical spin rotation from radial magnetic fields, geometric phases of misaligned elements and vertical velocity to below the EDM signal at achievable alignment tolerances, with spin coherence time above $1e3\\,\\mathrm{s}$.","problem_ref":null,"references":"","settled_by":"Spin-tracking simulations with realistic error spectra plus a prototype-ring measurement of the residual false signal.","status_note":"","title":"Storage-ring systematic errors at the proton EDM sensitivity 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