The sextic period polynomial

D. H. Lehmer, Emma Lehmer
1984 Pacific Journal of Mathematics  
The coefficients of the polynomial whose roots are the six periods of the pth roots of unity are given for every prime p -6/ 4-1 in terms of L and M in the quadratic partition 4/? = L 2 + 27M 2 . An explicit formula for the discriminant of this polynomial is also given. A complete analysis of the prime factors of the integers represented by the period polynomial and its corresponding form is given.
doi:10.2140/pjm.1984.111.341 fatcat:ndftalyhnjgjtjemz74ys7j4bu