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We analyse the magnetic structure of the antiferromagnetic order induced inPauli limited d-wave superconductors by Zeeman coupling to magnetic field. Wedetermine the phase diagram in the H-T plane, and find that the magnetic phase,which is stabilized at low temperatures and just below the upper criticalfield, can have two realizations depending primarily on the shape of theunderlying Fermi surface. The double-Q magnetic ordering may persist over theentire coexistence range. Alternatively, there may exist a weak first ordertransition from a double-Q structure at lower fields to a single-Q modulationat higher fields. Together with the calculations of the NMR line-shape theseresults suggest the second scenario as a serious candidate for describing thesuperconducting state of CeCoIn5.

Structure of magnetic order in Pauli limited unconventional superconductors