Question

What is the minimul polynomial 13th cyclotomic polynomial?

Answer 1

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What is the minimul polynomial 13th cyclotomic polynomial?

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Cyclotomic polynomial. It may also be defined as the monic polynomial with integer coefficients that is the minimal polynomial over the field of the rational numbers of any primitive nth-root of unity ( is an example of such a root)

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In mathematics the nth cyclotomic polynomial, for any positive integer n, is the unique irreducible polynomial with integer coefficients that is a divisor of {\displaystyle x^{n}-1} and is not a divisor of {\displaystyle x^{k}-1} for any k < n. Its rootsare all nth primitive roots of unity {\displaystyle e^{2i\pi {\frac {k}{n}}}}, where k runs over the positive integers not greater than n and coprime to n. In other words, the nth cyclotomic polynomial is equal to

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