ToNumberField

ToNumberField[a,θ]

expresses the algebraic number a in the number field generated by θ.

ToNumberField[{a1,a2,},θ]

expresses the ai in the field generated by θ.

ToNumberField[{a1,a2,}]

expresses the ai in a common extension field generated by a single algebraic number.

Details

Examples

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Basic Examples  (1)

Express in the number field generated by :

Scope  (6)

The generator θ of the number field will autoreduce to an algebraic integer:

Radical expressions:

Root objects:

AlgebraicNumber objects:

Express and in a common extension field:

Express algebraic numbers in the smallest common extension field:

Applications  (1)

Find a primitive element for over :

Properties & Relations  (1)

Convert an algebraic number to an explicit AlgebraicNumber object:

Introduced in 2007
 (6.0)