Hi Chandra,
What is Place (x^2 + x + 1, x*y + 1)? Is it ideal generated by
>
> (x^2 + x + 1, x*y + 1).
>
>
No. Place (x^2 + x + 1, x*y + 1) is the unique place of the function field
at which both functions x^2 + x +1, x*y + 1 vanish.
> What is the value of $\frac{xy}{(x^2 + x + 1) } +
>
> \frac{1}{x^2 + x + 1}+$ Place $(x^2 + x + 1, x y + 1)$?
>
>
You cannot add an element of the function field with a place.
> It is an element of residue field which is isomorphic to
>
> $\mathbb{F}_{2^2}$. Since $\mathbb{F}_{2^2}$ is isomorphic
> to $\mathbb{F}^2_{2}$ as a vector space,
>
> I want value in $\mathbb{F}^2_{2}$.
>
>
vector(a)
or you can use the maps returned by
k.vector_space(map=True)
if k is the residue field.
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