I tried doing this and it still takes a long time. 

On Tuesday, December 10, 2024 at 11:23:12 PM UTC-8 Nils Bruin wrote:

> On Tuesday, 10 December 2024 at 18:29:14 UTC-8 skchandh...@gmail.com 
> wrote:
>
> I am trying to calculate a place of the degree 8 extension field of a 
> rational function field over GF(2^16) in SageMath. However, when I do this, 
> it is taking a very long time and doesn't produce a result even after hours 
> of computation. 
> The commands I am running:
> sage: F.<x> = FunctionField(GF(2^16))
> sage: R.<y> = F[]
> sage: f = y^8 + x*y^6 + x^2*y^4 + y^3 + x
> sage: K.<z> = F.extension(f)
> sage: K.places(8)[:1]
>
>
> This line produces a list of all places of F of degree 8. So that's a huge 
> list! It wouldn't fit in memory. If you want to get some places to 
> experiment with, you probably want to create them without creating all 
> degree 8 places. Perhaps something like
>
> K(x-1).divisor().support()
>
> gives some usable places.
>

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