RealNewtonMap

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Newton initial accuracy: 8
iters=6
Newton step: wp = 010 + 010 = 020      r=[-0.7859 +/- 1.61e-3] digits=4
Newton step: wp = 021 + 010 = 031      r=[-0.782960 +/- 9.97e-5] digits=6
Newton step: wp = 042 + 010 = 052      r=[-0.782898163 +/- 2.56e-8] digits=9
Newton step: wp = 085 + 010 = 095      r=[-0.782898152980675 +/- 1.23e-14] digits=15
Newton step: wp = 171 + 010 = 181      r=[-0.7828981529806644537051029019 +/- 1.41e-27] digits=28
Newton step: wp = 342 + 010 = 352      r=[-0.782898152980664453705102901596524501942336989745243307 +/- 1.81e-53] digits=54
root=Roots[evals=4, unknownCount=0, foundCount=1]={[-0.782898152980664, -0.782898152980664]=RootLocated}
angle(w)=(1.59326687352887e-80) + i(0.0100003750179696)
locatedAngle=[-0.7828981529806644537051029015965245019423369897452433002728011545087690208655013 +/- 4.33e-78]
locatedAngle=[-0.7828981529806644537051029015965245019423369897452433002728011545087690208655013 +/- 4.33e-78] locatedRoot=(-0.782898152980664) + i(0)
===========testSOrbit===============
initial direction -45.0° converged towards ComplexCircle[t=(0) + i(0), h=[0.100000 +/- 3e-11]] in the direction -44.85675995437955° having value (-1.25739664273460e-39) + i(0.0100003750179696)
initial direction -44.85675995437955° converged towards ComplexCircle[t=(0.0708872343937891) + i(-0.0705336798983294), h=[0.100000 +/- 3e-11]] in the direction -43.99731333478251° having value (5.70877630322831e-10) + i(0.0400217643383941)
initial direction -43.99731333478251° converged towards ComplexCircle[t=(0.142824471681828) + i(-0.139996143800529), h=[0.100000 +/- 3e-11]] in the direction -42.27894932227975° having value (5.39273506675997e-7) + i(0.0902426446248701)
initial direction -42.27894932227975° converged towards ComplexCircle[t=(0.216812302911615) + i(-0.207270216294414), h=[0.100000 +/- 3e-11]] in the direction -39.70790321255138° having value (1.14102471921369e-5) + i(0.161360299887659)