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The heavy-fermion superconductor CeCoIn$_5$ displays an additional transition within its superconducting (SC) state, whose nature is characterized by high-precision studies of the isothermal field dependence of the entropy, derived from combined specific heat and magnetocaloric effect measurements at temperatures $T\geq 100$ mK and fields $H\leq 12$ T aligned parallel, perpendicular and $18^\circ$ off the tetragonal  direction. For any of these conditions, we do not observe an additionaldoi:10.1103/physrevlett.109.116402 pmid:23005654 fatcat:fqj25fz2jrdbxfvcjhkcbj332u