The oscillatory absorption edge spectrum of InSb crystals exhibiting the discrete structure of the Wannier-Mott exciton a t H = 0 is studied a t 1.8 K in magnetic fields of up to 80 kOe.The experimental data obtained are analyzed with a computer taking into account the excitonic nature of the phenomenon and the effect on the Landau levels of the nonlocality of potential resulting from the electron4ectron exchange interaction. A set of band parameters i s presented which provides a minimum discrepancy between the theoretical and experimental spectra of not more than 0.65 meV per datum point: E,=23.42 eV, F = -