Cyclotomic polynomial
The nth cyclotomic polynomial, for any positive integer n, is the unique irreducible polynomial of largest degree with integer coefficients that is a divisor of x^n − 1, and is not a divisor of x^k − 1 for any k < n.
You are encouraged to solve this task according to the task description, using any language you may know.
- task
- Find and print the first 30 cyclotomic polynomials.
- Find and print the order of the first 10 cyclotomic polynomials that have i or -i as a coefficient.
- See also
- The sequence A013594 with the smallest order of cyclotomic polynomial containing n or -n as a coefficient.