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AlgebraicNumberPolynomial

AlgebraicNumberPolynomial

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

MORE INFORMATION

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

Basic Examples (1)

Out[1]=

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Integers and rational numbers:

AlgebraicNumber objects:

AlgebraicNumberPolynomial threads automatically over lists:

Applications (1)

Addition of algebraic numbers using polynomials:

An equivalent way of performing the same operation:

Properties & Relations (1)

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

Possible Issues (1)

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

AlgebraicNumber ToNumberField MinimalPolynomial NumberFieldIntegralBasis FromDigits

Algebraic Number Theory

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