Here's a variation. Red points: roots of some p(x). Blue points: roots of p'(x) (inside convex hull of red points). Green points: roots of fractional nth derivative of p(x) as n goes from 0 to 1. Not in hull! (I'll draw the paths if I get time later.) https://twitter.com/gabrielpeyre/status/1251737288305807362 …pic.twitter.com/fVrhQwuwGy
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It might just be a saddle point, the activity on the left happens pretty quickly.
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