== k905 zero, N=4, b/a=1/2: root t = 0.2911682076697733642227858295673557663908
   at root: k905_2 = -2.8877e-44, k905_1 = -2.88749e-44, |diff| = 2.0351e-48 ; closure 2.0971e-50 censym 5.03765e-50
   at t-1e-3: -0.115361 ; at t+1e-3: 0.114835   (k610 minsin at root: 0.181997)
   P'' vertices: [('0.33907413', '0.20691616'), ('-0.88977267', '0.022782393'), ('-0.33907413', '-0.20691616'), ('0.88977267', '-0.022782393')]  focus f1 = 0.8660254038
   inverted P'' at f2: [('-0.059981451', '0.13839813'), ('-22.793931', '21.036957'), ('0.77816968', '-0.64562047'), ('-0.2965797', '-0.0073888541')]
   orientation signs of triangles f2 Q_i Q_{i+1}: [1, -1, 1, 1]  (mixed signs = f2 outside P'')
== k905 zero, N=4, b/a=1/2: root t = 0.6952542222766764522526895829232783838173
   at root: k905_2 = -2.11092e-44, k905_1 = -2.11104e-44, |diff| = 1.17602e-48 ; closure 6.96972e-50 censym 6.19403e-50
   at t-1e-3: 0.0643287 ; at t+1e-3: -0.0643602   (k610 minsin at root: 0.181997)
   P'' vertices: [('-0.33907413', '0.20691616'), ('-0.88977267', '-0.022782393'), ('0.33907413', '-0.20691616'), ('0.88977267', '0.022782393')]  focus f1 = 0.8660254038
   inverted P'' at f2: [('0.77816968', '0.64562047'), ('-22.793931', '-21.036957'), ('-0.059981451', '-0.13839813'), ('-0.2965797', '0.0073888541')]
   orientation signs of triangles f2 Q_i Q_{i+1}: [-1, 1, 1, 1]  (mixed signs = f2 outside P'')
== k905 zero, N=4, (1.7,0.3): root t = 0.1538088975360707737284051986090739914342
   at root: k905_2 = -1.21593e-43, k905_1 = -1.21335e-43, |diff| = 2.57792e-46 ; closure 1.7156e-49 censym 2.29277e-48
   at t-1e-3: -2.35592 ; at t+1e-3: 2.23311   (k610 minsin at root: 0.0275297)
   P'' vertices: [('0.20910854', '0.051727307'), ('-1.6741192', '0.00020439595'), ('-0.20910854', '-0.051727307'), ('1.6741192', '-0.00020439595')]  focus f1 = 1.673320053
   inverted P'' at f2: [('-1.1424922', '0.014586632'), ('-1176.1956', '300.41076'), ('-0.99120992', '-0.02409742'), ('-1.3745842', '-1.8240926e-5')]
   orientation signs of triangles f2 Q_i Q_{i+1}: [1, -1, 1, 1]  (mixed signs = f2 outside P'')
== k905 zero, N=6, (1.7,0.3): root t = 0.09621254799712449253357969885540387880405
   at root: k905_2 = 8.55226e-43, k905_1 = 8.54701e-43, |diff| = 5.24302e-46 ; closure 5.80159e-50 censym 9.186e-49
   at t-1e-3: -6.28792 ; at t+1e-3: 6.188   (k610 minsin at root: 0.0203223)
   P'' vertices: [('1.5530735', '0.060420967'), ('-1.2038796', '0.11028063'), ('-1.6797988', '0.0053610468'), ('-1.5530735', '-0.060420967'), ('1.2038796', '-0.11028063'), ('1.6797988', '-0.0053610468')]  focus f1 = 1.673320053
   inverted P'' at f2: [('-1.3634851', '0.0058023069'), ('0.34546467', '0.47425153'), ('-93.291014', '75.811801'), ('4.9664953', '-3.3363464'), ('-1.3262697', '-0.013302146'), ('-1.375091', '-0.00047681575')]
   orientation signs of triangles f2 Q_i Q_{i+1}: [1, 1, -1, 1, 1, 1]  (mixed signs = f2 outside P'')
== k905 zero, N=6, (1.7,0.3): root t = 1.224359996661251069817236195840764060625
   at root: k905_2 = 4.19092e-43, k905_1 = 4.18737e-43, |diff| = 3.5486e-46 ; closure 1.16497e-48 censym 6.32045e-49
   at t-1e-3: -0.889841 ; at t+1e-3: 0.888162   (k610 minsin at root: 0.0203223)
   P'' vertices: [('-1.2038796', '0.11028063'), ('-1.6797988', '0.0053610468'), ('-1.5530735', '-0.060420967'), ('1.2038796', '-0.11028063'), ('1.6797988', '-0.0053610468'), ('1.5530735', '0.060420967')]  focus f1 = 1.673320053
   inverted P'' at f2: [('0.34546467', '0.47425153'), ('-93.291014', '75.811801'), ('4.9664953', '-3.3363464'), ('-1.3262697', '-0.013302146'), ('-1.375091', '-0.00047681575'), ('-1.3634851', '0.0058023069')]
   orientation signs of triangles f2 Q_i Q_{i+1}: [1, -1, 1, 1, 1, 1]  (mixed signs = f2 outside P'')
== k610 zero (not pole), N=6, (1.7,0.3): root t = 1.370305463818732316688610375664995180826
   at root: k610_2 = -5.63165e-43, k610_1 = -5.41697e-43, |diff| = 2.14672e-44 ; closure 7.47469e-49 censym 5.12129e-49
   at t-1e-3: -45.8163 ; at t+1e-3: -20.1812   (k610 minsin at root: 0.000617497)
   P'' vertices: [('-1.3156578', '0.09834629'), ('-1.6804594', '0.0030191714'), ('-1.5090488', '-0.069588154'), ('1.3156578', '-0.09834629'), ('1.6804594', '-0.0030191714'), ('1.5090488', '0.069588154')]  focus f1 = 1.673320053
   antipedal of P'' at f2: [('-1.44351', '0.563324'), ('-119.099', '-277.656'), ('1.55456', '7.16243'), ('1.69063', '11.298'), ('1.67374', '-7.46219'), ('1.75241', '-11.0595')]  minsin= 0.000617497
== k610 POLE (degenerate antipedal), N=4, b/a=1/2: root t = 0.3930101928901352761544019486914522016689
   at root: k610_2 = -3.77467e+44, k610_1 = -3.77498e+44, |diff| = 3.05024e+40 ; closure 2.00457e-50 censym 2.98824e-50
   at t-1e-3: -86.2699 ; at t+1e-3: 84.2034   (k610 minsin at root: 8.37222e-46)
   P'' vertices: [('0.13260076', '0.22113585'), ('-0.89379972', '0.0083742724'), ('-0.13260076', '-0.22113585'), ('0.89379972', '-0.0083742724')]  focus f1 = 0.8660254038
   antipedal of P'' at f2: [('-0.274857', '2.06117'), ('2.74111e+44', '9.09122e+44'), ('0.90923', '3.23423'), ('0.878855', '-3.14887')]  minsin= 8.3729e-46
