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BUILT-IN MATHEMATICA SYMBOL
AlgebraicNumber
AlgebraicNumber[
, {c0, c1, ..., cn}]
represents the algebraic number in the field 
given by 
.
Details
- AlgebraicNumber objects in the same field are automatically combined by arithmetic operations.
- The generator can be any algebraic number, represented in terms of radicals or Root objects. The coefficients
must be integers or rational numbers. - AlgebraicNumber is automatically reduced so that is an algebraic integer, and the list of
is of length equal to the degree of the minimal polynomial of . - AlgebraicNumber objects are always treated as numeric quantities.
- N finds the approximate numerical value of an AlgebraicNumber object.
- Operations such as Abs, Re, Round, and Less can be used on AlgebraicNumber objects.
- RootReduce can be used to transform AlgebraicNumber objects into Root objects.
- A particular algebraic number can have many different representations as an AlgebraicNumber object. Each representation is characterized by the generator specified for the field.
- AlgebraicNumber objects representing integers or rational numbers are automatically reduced to explicit integer or rational form.
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