CFRAC - What does CFRAC stand for? The Free Dictionary
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The polynomials generate Qs that are somewhat larger than those from CFRAC, but because we used a polynomial to generate them we can try to factor them much more quickly.
What makes this method faster is that the numbers can be made much smaller than with QS or CFRAC.
With CFRAC one can start at different points of the continued fraction expansion and let many separate machines generate and factor Qs simultaneously.