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Old 2021-08-27, 20:09   #19
VBCurtis
 
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"Curtis"
Feb 2005
Riverside, CA

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Far as I know (it has been years since I paid any attention to msieve poly select, so some of this is as vague as my memory):
Leading coeff is not randomized. Multiples of 12 at the very smallest searches, 60 often, sometimes larger. I forget if it's the larger the input size or the larger the coeff itself that determines what the msieve version of "incr" is. It also may be the case that msieve samples some property other than divisibility of small primes to filter which leading coeff's to search deeply on.

On big poly select jobs, the space of second and third coeffs within a leading coeff is so large that a slice of the space of a leading coeff is searched. For C190+, there can be 30 or more slices, so many machines can work on the same coefficient with little work duplicated.
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