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Extension

FilledSmallSquare Extension is an option for Factor, PolynomialGCD and related functions which specifies what algebraic numbers to allow in the coefficients of resulting polynomials.

FilledSmallSquare With the setting Extension->, , ... any rational combination of the can appear.

FilledSmallSquare The must be exact numbers. They can involve I, n roots, and Root objects.

FilledSmallSquare The can be viewed as generators for the algebraic number field in which the coefficients are assumed to lie.

FilledSmallSquare With the default setting Extension->None all coefficients are required to be rational numbers, and any algebraic numbers that appear in input polynomials are treated like independent variables.

FilledSmallSquare Extension->Automatic includes any algebraic numbers from the input polynomials in the coefficient field.

FilledSmallSquare Extension->, , ... includes both the and any algebraic numbers from the input polynomials in the coefficient field.

FilledSmallSquare GaussianIntegers->True is equivalent to Extension->I.

FilledSmallSquare See Section 3.3.6.

FilledSmallSquare See also: Modulus, Algebraics.

FilledSmallSquare New in Version 3.

Further Examples