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$p$-adic extension of $n$th rppt 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.

$p$-adic extension of $n$th rppt 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.

$p$-adic extension of $n$th rppt 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.

 4 None dan_fulea 4064 ●3 ●34 ●65

$p$-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)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.