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Quotient group I want to check if a generator of Z^star_m has the same degree in Z^star_m / < p > (quotient gro

Quotient group I want to check if a generator of Z^_m has the same degree in Z^_m / < p > (quotient group). Is

Quotient group I want to check if a generator of Z^_m has the same degree in Z^_m / < p > (quotient group). Is

Quotient group I want to check if a generator of $Z^_m$ has the same degree in $Z^_m /$ < p > (quotient group).

Quotient group I want to check if a generator of $ Z^_m $ has the same degree in $ Z^_m / $ < p > (quotient gro

Quotient group I want to check if a generator of $Z^_m$ has the same degree in $Z^_m /$ < p > (quotient group).

Thank you! That solved my problem.

How can I factor a cyclotomic polynomial into polynomials that are irreducible modulo p?

Here n is the order right?

Factoring a cyclotomic polynomial mod p How can I factor a cyclotomic polynomial into polynomials that are irreducible m

Sorry! I updated my question

Inverse of a polynomial which has coefficients in GF(2**64) I am trying to find the inverse of this polynomial: (x^10+1)

I am trying to find the inverse of this polynomial: (x^10+1)X^{2^{63}} + (x^5+1)x.

The polynomial has coefficients in GF(2**64) with modulus x^64 + x^4 + x^3 + x + 1

I can't really use the following:

sage: F.<b> = GF(2)[]
sage: S.<x> = GF(2**64, modulus = b^64 + b^4 + b^3 +b+1)
sage: 1/(x^10+1)*X +x     xxxxxxxxxx

X is a variable which takes polynomial values in GF(2**64).