$p$-adic extension of $n$th root of unity.
I have used the following command to define the 5-adic Unramified extension ring in c defined by the polynomial $x^3 + 3x + 3$:
Sage: R.<c> = zq(125, prec=20)
Now, I want to find all the $n$th root of unity in this ring for $n$ dividing $124$. I dont know, how the $n$-th roots are implemented. Kindly help me with this.
Thank you.
You should provide more details. In particular, what is
zq
?zq
isZq