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Question: the roots of a big polynomial

Question:the roots of a big polynomial

Hanskira 10 Maple 18
polynomial rootfinding substitution numeric
April 01 2025
1

Hey everyone,
I am trying to find the roots of a very large polynomial, specifically targeting the leading Fisher's zero (the root with the smallest positive imaginary part). I'm using Maple's RootFinding[Analytic] package with Digits := 10, but the results only show 5-digit accuracy (see the attached file plz)

  1. Why does RootFinding[Analytic] fail to achieve full 10-digit precision despite the Digits setting? Are there hidden limitations or optional parameters to improve this?

  2. Are there alternative methods in Maple to accurately locate only the leading zero (without computing all roots in a region)?
    Root_Poly.mw
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