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Old 2017-02-17, 02:32   #11
carpetpool's Avatar
Nov 2016

14516 Posts

One pari command I am searching for is polynomials with the same properties as their cyclotomic polynomials, and finds them based on fixed coefficients in order.

({a, b}, x) would search for a polynomial with the same properties as the cyclotomic polynomial of x, with leading coefficients a, b, c for each higher degree.

For example:

({1, 4}, 5) should find all polynomials with the same number field properties as x^4+x^3+x^2+x+1 of the form x^4+4x^3+ax^2+bx+c. That is should output the solutions, if any {a, b, c} for the degrees 2, 1, 0.

I've scoured a whole column of polynomial commands and not one serves for this purpose.
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