On Thu, Jun 20, 2019 at 1:55 PM Kannappan Sampath <kn...@umich.edu> wrote:

> Hello everyone --
>
> I am trying to do the following computation ---
>
> Suppose that h(z) is a polynomial defined over an extension of the 23-adic
> integers with unit constant term h(0) and that the uniformizer divides
> h(z)-h(0). "By Newton's binomial theorem", it admits a square root. I want
> to be able to compute this square root.
>

I'm not quite sure what the setup is; what is "it" that admits a square
root?  Perhaps you could provide a sequence of Sage commands illustrating
what you're looking for?

Have you tried just calling sqrt() on the element?
David


> Set aside precision issues for a moment; short of coding this by hand, are
> there methods in Sage that I should be looking at? I haven't kept in touch
> with the developments on Sage in the past three years and so I am not sure
> what has been done.
>
> Thank you for any pointers you might have!
>
>                                        Best,
>                                        Kannappan
>
>
> ---------
> *Kannappan Sampath*
>
> Department of Mathematics | University of Michigan
> EH Rm 3080 | kn...@umich.edu
>
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