factor degrees of numerator: [(1, 1), (1, 1), (1, 1), (1, 1), (2, 1)]
quadratic factor roots: [1.12776994529, 1.86610722118]  irreducible over Q: True
squarefree part of discriminant: sqrt(25882797530695469929837438511466640183543322822449)
linear roots: [0, -4637560805/313396006, 489410995/393950054, 23003637315/13356891878]
