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Algebraic Number Theory
With its convenient symbolic representation of algebraic numbers, Mathematica's state-of-the-art algebraic number theory capabilities provide a concrete implementation of one of the historically richest areas of pure mathematics—all tightly integrated with Mathematica's powerful unified environment.
AlgebraicNumber algebraic number represented in a particular field
ToNumberField find a common field, or express numbers in a given field
Extension field extension for number theoretic and polynomial operations
RootReduce reduce an algebraic number to minimal Root form
ToRadicals convert to explicit radicals