I have used the following command to define the 5-adic Unramified extension ring in c defined by the polynomial x3+3x+3:
Sage: R.<c> = zq(125, prec=20)
Now, I want to find all the nth 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.