rho_4('1', '2', '3', '4') = 0.09837   (norm degree 6; 6 solutions; max residual |M2|,|M3| = 4.2e-59, 2.6e-58)
rho_4('0', '1', '2', '3') = 0.10312   (norm degree 6; 6 solutions; max residual |M2|,|M3| = 1.1e-58, 1.5e-57)
rho_4('0.305', '1.305', '2.305', '3.305') = 0.09756   (norm degree 6; 6 solutions; max residual |M2|,|M3| = 2.2e-59, 3.2e-58)
near-confluent e = 0.8563 + (0,1,2,3)*0.01: rho_4 = 0.04488
near-confluent e = 0.8563 + (0,1,2,3)*0.001: rho_4 = 0.04485
near-confluent e = 0.8563 + (0,1,2,3)*0.0001: rho_4 = 0.04485
[0.1s]
printed e* ('-0.18272', '-0.18098', '769.085', '825.728'): rho_4 = 9.392e-06 ; all six: ['4.206e-01', '4.206e-01', '9.086e-01', '9.086e-01', '9.392e-06', '9.392e-06']
finder's full-precision e* ('-0.18271900153639156', '-0.1809796744363755', '769.0851161513428', '825.7277931734245'): rho_4 = 2.034e-14 (60-digit arithmetic); residuals |M2|,|M3| = 6.5e-58, 2.3e-55; c/c1 = ['1.0+0.000000i', '-1.002078-0.000235i', '-2.562347+1.871437i', '2.700639-1.772187i']
[0.1s]
   Newton in (e3,e4): rho_4 = 2.034e-14 at (e3,e4) = (769.0851161513428, 825.7277931734245)
   Newton in (e3,e4): rho_4 = 3.377e-24 at (e3,e4) = (769.085116147172828238353186397881161423, 825.727793178040787685464283784285547704)
   Newton in (e3,e4): rho_4 = 8.077e-42 at (e3,e4) = (769.085116147172828238691418047906450374, 825.727793178040787685126187288473094133)
   Newton in (e3,e4): rho_4 = 9.504e-45 at (e3,e4) = (769.085116147172828238691418047906450362, 825.727793178040787685126187288473094146)
   Newton in (e3,e4): rho_4 = 1.300e-44 at (e3,e4) = (769.085116147172828238691418047906450362, 825.727793178040787685126187288473094146)
   Newton in (e3,e4): rho_4 = 1.998e-44 at (e3,e4) = (769.085116147172828238691418047906450362, 825.727793178040787685126187288473094146)
   Newton in (e3,e4): rho_4 = 2.491e-45 at (e3,e4) = (769.085116147172828238691418047906450362, 825.727793178040787685126187288473094146)
   Newton in (e3,e4): rho_4 = 1.452e-45 at (e3,e4) = (769.085116147172828238691418047906450362, 825.727793178040787685126187288473094146)
   Newton in (e3,e4): rho_4 = 9.685e-45 at (e3,e4) = (769.085116147172828238691418047906450362, 825.727793178040787685126187288473094146)
   Newton in (e3,e4): rho_4 = 7.756e-45 at (e3,e4) = (769.085116147172828238691418047906450362, 825.727793178040787685126187288473094146)
   Newton in (e3,e4): rho_4 = 7.281e-45 at (e3,e4) = (769.085116147172828238691418047906450362, 825.727793178040787685126187288473094146)
   Newton in (e3,e4): rho_4 = 1.025e-44 at (e3,e4) = (769.085116147172828238691418047906450362, 825.727793178040787685126187288473094146)
zero located: e = (-0.18271900153639156, -0.1809796744363755, 769.08511614717282823869141804, 825.72779317804078768512618728), rho_4 = 1.025e-44; residuals |M2|,|M3| = 1.1e-57, 2.4e-54; 1+4e1 = 0.26912399
[1.5s]
circle radius 0.5 about (769.08511615, 825.72779317): winding number of M4 on the tracked branch = 1.000000, branch closes: True, min rho on circle 9.88e-08, 552 solves, max |arg step| 0.27
circle radius 2 about (769.08511615, 825.72779317): winding number of M4 on the tracked branch = 1.000000, branch closes: True, min rho on circle 3.88e-07, 540 solves, max |arg step| 0.30
circle radius 0.000001 about (769.08511614, 825.72779317): winding number of M4 on the tracked branch = 1.000000, branch closes: True, min rho on circle 1.99e-13, 557 solves, max |arg step| 0.27
total 43.5s
