#4837: implement random_element for number fields
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Reporter: AlexGhitza | Owner: AlexGhitza
Type: enhancement | Status: new
Priority: major | Milestone: sage-3.4
Component: number theory | Keywords: random element number field
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At the moment, if K is a number field then K.random_element() uses a
generic implementation that simply returns a random *integer* coerced into
K. It would be useful to have a real implementation that returns an
actual random element of K.
A simple idea would be to find a primitive element j that generates K as a
field extension over QQ, and to return a random polynomial of degree at
most [K:QQ]. This should be easy since random polynomials in one variable
are already implemented.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4837>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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