According to the present invention, an ink jet printing method comprising a step of directly printing on a fabric an ink jet ink containing a dye polymer having a structure derived from a dye having an anthraquinone skeleton and an aqueous dispersion of the dye polymer, the above DETAILED DESCRIPTION Colored compositions and ink jet inks comprising an aqueous dispersion of a dye polymer, and ink cartridges filled with ink jet inks are provided.
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