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Let 0, 1 m Z and =8m. According to the results of I. Ga\'al and L. El Fadil, generates a power integral basis in K=Q (), if and only if m is square-free and m 1\; (\; 4). In the present paper we consider totally complex pure octic fields, that is the case mm>-5000, which yields 2024 fields.
István Gaál (Wed,) studied this question.