I don't think this is a known issue. I created 
https://trac.sagemath.org/ticket/25879 to track it.

Thanks for reporting this :)

On Wednesday, July 18, 2018 at 3:59:06 PM UTC+2, srozensz wrote:

> Hello,
>
> I'm running Sage 8.2 and this is what I have observed:
>
> sage: R = Zp(3,type = 'fixed-mod', prec = 5)
> sage: S.<t> = R[]
> sage: W.<w> = R.extension(t^2-3)
> sage: w.residue()
> 1
>
> the output here should be 0.
>
> The bug also appears with ZpCA(3,5) instead of Zp(3,type = 'fixed-mod', 
> prec = 5), but the output is OK for R = Zp(3,5)
>
> Is this bug already known? I could not find trace of it.
>
> Thank you!
>

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