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Specifying an extension field.
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Using radical instead of RootOf notation:
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If the algebraic numbers and functions are not independent, i.e., they do not form a field, or if the algebraic numbers and functions in do not occur in , the resulting polynomial may not be of minimal degree. In the following example, Maple is unable to tell whether equals sqrt2 or -sqrt2.
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In this example, using an indexed RootOf will help.
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