Class EF

Extension field builder.

Construction of extension field towers according to the builder pattern.

Instance Methods

__init__(self, base)
Constructor to set base field.

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__str__(self)
Create a string representation.

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extend(self, vars, algebraic=None)
Create an extension field.

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realExtend(self, vars, algebraic, interval)
Create a real extension field.

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complexExtend(self, vars, algebraic, rectangle)
Create a complex extension field.

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polynomial(self, vars)
Create an polynomial ring extension.

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build(self)
Get extension field tower.

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Method Details

Create an extension field.

If algebraic is given as string expression, then an algebraic extension field is constructed, else a transcendental extension field is constructed.

Create a real extension field.

Construct a real algebraic extension field with an isolating interval for a real root.

Create a complex extension field.

Construct a complex algebraic extension field with an isolating rectangle for a complex root.