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BUILT-IN MATHEMATICA SYMBOL

AlgebraicNumberPolynomial

gives the polynomial in x corresponding to the AlgebraicNumber object a.

For an algebraic number a of the form AlgebraicNumber, AlgebraicNumberPolynomial is the polynomial , from which a can be obtained by replacing x with .

Out[1]=

Out[2]=

Integers and rational numbers:

AlgebraicNumberPolynomial threads automatically over lists:

Addition of algebraic numbers using polynomials:

An equivalent way of performing the same operation:

AlgebraicNumber by definition is a polynomial function of an algebraic number:

The input must be an AlgebraicNumber object or a rational number: