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First some references that are somewhat related. In all of them the large degree of the polynomials is a factor, in addition to the large coefficients. In this question, only the large coefficients are relevant. This may be a duplicate Q&A: NSolve for high degree univariate polynomials Related: Funny behaviour when plotting a polynomial of high ...


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The precision of the numbers in the equation is such that near its roots when you change the input value just slightly, rounding errors turn out to have a significant impact. The same happens in this simpler example with a smooth function: Plot[(Cos[1 + h] - Cos[1])/h, {h, 0, 1/100000000}]. You could use exact numbers and solve the equation just once, and ...



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