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asked 5 years ago

GA316 gravatar image

p-adic extension of nth rppt of unity.

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.

p-adic extension of nth rppt of unity.

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.

p-adic extension of nth rppt root of unity.

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.

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updated 5 years ago

dan_fulea gravatar image

p-adic extension of nth root of unity.

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)

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.