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A polymer film that has an in-plane retardation Re(λ) and a thickness-direction retardation Rth(λ) satisfying formula (i) and (ii), and that further has a surface energy of at least one surface is from 50 mN/m to 80 mN/m : 0≰Re(630)≰10, and |Rth(630)|≰25; (i) and |Re(400)−Re(700)|≰10, and |Rth(400)−Rth(700)|≰35. (ii) in the formulae, Re(λ) and Rth(λ) are measurement values at the wavelength of λ nm, and an optically-compensatory film, an optical material such as a polarizer and a liquid-crystal display device using the polymer film.