Coefficients of the 40755-th cyclotomic polynomial.
1, 1, 1, 0, 0, -1, -1, -1, 0, 0, 0, -1, -1, -2, -1, 0, 2, 2, 2, 0, -1, -2, -1, 0, 2, 2, 1, -1, -2, -2, 0, 2, 4, 4, 2, -1, -3, -3, -2, 1, 2, 2, -1, -3, -5, -3, -1, 3, 4, 4, 0, -2, -5, -3, -1, 4, 4, 5, 0, -2, -5, -2, 0, 5, 5, 5, 0, -3, -7, -4, -2, 3, 4, 4, -1, -4
0
The first cyclotomic polynomial showing structure. Note the 40755 = 3 * 5 * 11 * 13 * 19, the product of the first 5 primes having primitive root 2. This polynomial is symmetric. See S000845 for a list of cyclotomic polynomials having large central term.
T. D. Noe, Plot of 17281 terms
T. D. Noe, Table of 17281 terms
Andrew Arnold, A high-performance algorithm for calculating cyclotomic polynomials, 2010.
Andrew Arnold and Michael Monagan, Calculating cyclotomic polynomials, 2011.
(Mma) n = 40755; CoefficientList[Cyclotomic[n, x], x]
Cf. S000845.
sign,nice
T. D. Noe, Feb 09 2016