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I need to determine the minimal polynomial for a quotient in (1).

(1) B = C / A

C is known as a root of a 36th degree polynomial and A is known as a root of a 24th degree polynomial.

However I have not been able to succeed in recovering the coefficients nor the degree of the polynomial for B.

Any suggestions? I have tried to use GP-Pari's algdep(number,power) command, but so far with little success, even though I know the decimal value of B to 10,018 digits.

Randall

P.S. This is a repost after a suggestion

After working with the resultant method, I was able to successfully recover a 144th degree polynomial whose highest power term has the expected square coefficient. This polynomial was one of 3 polynomials factored from a 864th degree polynomial originally obtained.

I guessed 72nd degree, but it would have taken too long using GP-Pari's algdep(number,144) to recover the polynomial.

Thanks for your suggestions, I now have a valuable tool to help me work with algebraic vectors in R3.

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# Question on determining the minimal polynomial for an algebraic quotient

I need to determine the minimal polynomial for a quotient in (1).

(1) B = C / A

C is known as a root of a 36th degree polynomial and A is known as a root of a 24th degree polynomial.

However I have not been able to succeed in recovering the coefficients nor the degree of the polynomial for B.

Any suggestions? I have tried to use GP-Pari's algdep(number,power) command, but so far with little success, even though I know the decimal value of B to 10,018 digits.