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We need points, and I bernstein ellipses are the way to go for intervals, which correspond to perturbed circles. For circles, the following shows that radius*(1 - 1/n) is sufficient:
n=86
sc=[1/(1-1/n)^k for k=0:n-1]
cfs=Fun(exp,Taylor((1-1/n)*𝕌),n).coefficients.*sc
cfs-Fun(exp,Taylor(),n).coefficients|>norm # always about eps()Metadata
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