#14825: Polynomial representation of a padic number
---------------------------+------------------------------------------------
Reporter: caruso | Owner: roed
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.12
Component: padics | Keywords: polynomial representation
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Xavier Caruso
Merged in: | Dependencies:
Stopgaps: |
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If $K$ is an unramified extension of $Z_p$ whose generator is $a$, this
patch implements a method {{{polynomial}}} which takes as input an element
$x$ in $K$ and outputs a polynomial $P$ with coefficients in $Z_p$ such
that $P(a) = x$.
{{{
sage: K.<a> = Qq(5^3)
sage: a.polynomial()
(1 + O(5^20))*x + (O(5^20))
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14825>
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