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reduced forms defined in the section below. When , every representation is equivalent to a unique representation by a reduced form, so a complete set of representatives is given by the finitely many representations of n by reduced forms of discriminant . When , Zagier proved that every representation of a positive integer n by a form of discriminant is equivalent to a unique representation in which f is reduced in Zagier's sense and , . The set of all such representations constitutes a complete set

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