==========================================================================================
family a=1 b=0.5 N=5 tau=1 lam=0.148624447437
  real members: Apol/Adag = 8.72262253293 , 8.72262253293 ;  AT/Adag = 2.44630190818 , 2.44630190818 ;  Apd/AT = 0.0196184987681 , 0.0225534851502 ; Adag/Aant = 52.3984988864 , 14.6933570766
  check isotropic config: |P0-P1| = 1.31e-41 ; a - c sn(u0) = 1.17e-41
  r = 0.001
    A     c_-2 = (1.035696325e-50 + 5.866718539e-48j) c_-1 = (5.758917029e-48 - 8.264559107e-45j) c_0 = (-3.8743538e-41 + 5.7755918e-41j)
    Adag  c_-2 = (3.628849971e-35 + 9.17517645e-36j) c_-1 = (4.033811198e-33 - 6.436434934j) c_0 = (-3.1756663e-30 + 1.3677466e-29j)
    Apol  c_-2 = (1.789585643e-37 - 5.300057711e-35j) c_-1 = (-3.03522289e-34 - 56.14259239j) c_0 = (3.9626874e-31 + 7.812694e-29j)
    AT    c_-2 = (-3.484657804e-35 + 2.722065194e-35j) c_-1 = (5.464601825e-33 - 15.74546306j) c_0 = (4.852279e-30 + 1.8179052e-29j)
    Apd   c_-2 = (5.558250968e-36 - 9.676193194e-37j) c_-1 = (-3.184229351e-33 - 1.008783162j) c_0 = (4.5443659e-30 + 5.0171531e-30j)
    Aant  c_-2 = (4.101802908e-48 - 1.333594747e-41j) c_-1 = (-1.89011078e-44 - 2.559203769e-38j) c_0 = (-5.302065e-40 + 7.5884991e-36j)
    Aped  c_-2 = (-1.203802089e-48 - 5.21539558e-44j) c_-1 = (3.786151534e-44 + 8.747684806e-41j) c_0 = (-2.4217255e-41 - 5.064629e-39j)
  r = 0.0001
    A     c_-2 = (2.762378891e-53 - 7.559043202e-50j) c_-1 = (-9.176492171e-50 - 5.150524507e-46j) c_0 = (-3.8760806e-41 + 4.8070143e-41j)
    Adag  c_-2 = (-1.245394816e-33 + 3.230444471e-33j) c_-1 = (-4.295153974e-29 - 6.436434934j) c_0 = (-1.6419789e-25 - 3.9759512e-25j)
    Apol  c_-2 = (-1.164906504e-35 - 1.416942707e-32j) c_-1 = (-1.855467507e-32 - 56.14259239j) c_0 = (-3.3930099e-27 + 1.0082937e-24j)
    AT    c_-2 = (-1.772853382e-33 - 1.580864948e-32j) c_-1 = (-8.251499876e-30 - 15.74546306j) c_0 = (6.9634905e-25 + 3.7049145e-25j)
    Apd   c_-2 = (-7.650087844e-34 - 6.922350207e-34j) c_-1 = (1.194754287e-29 - 1.008783162j) c_0 = (-4.6759239e-26 - 1.2103056e-25j)
    Aant  c_-2 = (-4.347244841e-50 - 5.308027651e-43j) c_-1 = (-1.604129233e-45 - 4.378091774e-37j) c_0 = (-5.3087083e-40 - 6.5122621e-34j)
    Aped  c_-2 = (8.406662938e-47 - 4.464158495e-44j) c_-1 = (-1.018001732e-44 - 3.338635218e-40j) c_0 = (-2.0864491e-39 - 1.3519266e-36j)
  residue ratios: Apol/Adag = (8.72262253293 + 5.82048164196e-29j) ; AT/Adag = (2.44630190818 + 1.50426338112e-29j) ; Apd/AT = (0.0640681800074 + 7.92368023777e-31j) ; Adag/Aant = (1.47014618838e+37 + 5.38660356803e+28j) ; Aant/A = (850028308.579 + 151443.172353j)
  at Jacobi pole u = iK': 
    A     c_-2 = (-3.915257559e-42 - 2.554450326e-46j) c_-1 = (-2.550171561e-43 - 0.3557178953j) c_0 = (4.8550366e-38 - 1.6652837e-38j)
    Adag  c_-2 = (-1.674932552e-49 - 1.412645241e-47j) c_-1 = (-4.787769753e-45 - 1.767971562e-43j) c_0 = (-3.5086911e-40 - 10.123981j)
    Apol  c_-2 = (-4.705103635e-44 - 3.958410436e-43j) c_-1 = (-1.455799633e-40 + 4.742750704e-39j) c_0 = (8.9796044e-36 - 88.307662j)
    AT    c_-2 = (-2.473513308e-44 - 2.002655414e-43j) c_-1 = (-9.010042592e-41 + 2.396559955e-39j) c_0 = (4.5156771e-36 - 24.766313j)
    Apd   c_-2 = (3.652778437e-50 + 4.247914046e-48j) c_-1 = (-1.645795853e-45 + 1.926785388e-44j) c_0 = (-1.8196368e-41 - 2.6476141j)
    Aant  c_-2 = (-1.985362584e-42 + 1.508904907j) c_-1 = (-2.996286121e-37 - 0.1480848715j) c_0 = (-3.8117363e-34 - 2.4872765j)
    Aped  c_-2 = (1.554346317e-47 + 1.007115561e-46j) c_-1 = (1.019481125e-43 - 1.210721873e-42j) c_0 = (-2.226974e-39 + 0.90753808j)
  no point of S found
==========================================================================================
family a=1 b=0.5 N=6 tau=1 lam=0.111111111111
  real members: Apol/Adag = 4.26666666667 , 4.26666666667 ;  AT/Adag = 1.77777777778 , 1.77777777778 ;  Apd/AT = 0.0520833333333 , 0.0520833333333 ; Adag/Aant = -9.83530580759e+41 , -4.87647162497e+41
  check isotropic config: |P0-P1| = 1.13e-41 ; a - c sn(u0) = 1.83e-42
  r = 0.001
    A     c_-2 = (-6.498689492e-42 + 1.440476434e-41j) c_-1 = (2.353296628e-43 - 0.6285393611j) c_0 = (-1.9897691e-40 + 2.8162885e-39j)
    Adag  c_-2 = (-6.018412081e-35 - 3.874668537e-34j) c_-1 = (3.369848795e-32 - 8.485281374j) c_0 = (2.9472801e-29 - 3.1535714e-28j)
    Apol  c_-2 = (-5.98307874e-37 + 8.252240636e-34j) c_-1 = (-1.264475224e-34 - 36.2038672j) c_0 = (-1.8129521e-31 + 8.0296152e-28j)
    AT    c_-2 = (8.881324712e-37 - 1.407017498e-34j) c_-1 = (9.787365431e-33 - 15.08494467j) c_0 = (1.5468834e-29 + 5.3300373e-29j)
    Apd   c_-2 = (-2.376698535e-36 - 9.930367091e-35j) c_-1 = (1.74911613e-32 - 0.7856742013j) c_0 = (-7.8976968e-30 - 3.7518528e-29j)
    Aant  c_-2 = (-5.411434422e-37 - 3.027050096e-36j) c_-1 = (-2.928587395e-34 - 2.938716166e-33j) c_0 = (7.6529291e-31 - 6.4327816e-30j)
    Aped  c_-2 = (-3.750743043e-39 - 7.44313599e-36j) c_-1 = (1.034646516e-38 - 0.6983770678j) c_0 = (2.20317e-33 - 3.5242997e-32j)
  r = 0.0001
    A     c_-2 = (-6.50153588e-42 + 1.44063408e-41j) c_-1 = (7.827563629e-43 - 0.6285393611j) c_0 = (3.3305673e-38 - 1.6554879e-37j)
    Adag  c_-2 = (3.918889114e-33 - 1.257020966e-32j) c_-1 = (-1.936080304e-29 - 8.485281374j) c_0 = (4.480714e-25 + 2.4478084e-24j)
    Apol  c_-2 = (1.889974349e-35 + 3.520280506e-32j) c_-1 = (8.069217245e-32 - 36.2038672j) c_0 = (5.2913352e-28 - 5.5712717e-24j)
    AT    c_-2 = (-2.773178011e-33 - 7.877284924e-33j) c_-1 = (1.616503126e-29 - 15.08494467j) c_0 = (7.1708186e-26 + 8.8819281e-26j)
    Apd   c_-2 = (-1.474932643e-33 - 6.371995019e-33j) c_-1 = (-1.516088237e-29 - 0.7856742013j) c_0 = (-2.8487928e-27 + 2.8868244e-25j)
    Aant  c_-2 = (2.288211601e-42 + 2.0494853e-34j) c_-1 = (-1.108124346e-37 - 7.852113188e-30j) c_0 = (-8.2106574e-35 - 9.5015332e-27j)
    Aped  c_-2 = (6.666159225e-38 - 5.721101497e-34j) c_-1 = (1.877184305e-33 - 0.6983770678j) c_0 = (6.7777062e-30 - 3.4369502e-27j)
  residue ratios: Apol/Adag = (4.26666666667 + 9.74473107993e-30j) ; AT/Adag = (1.77777777778 + 5.96140946002e-30j) ; Apd/AT = (0.0520833333333 - 1.0608465219e-30j) ; Adag/Aant = (1.0806366606e+30 + 1.52504143046e+22j) ; Aant/A = (1.24926355844e-29 - 1.76301503887e-37j)
  at Jacobi pole u = iK': 
    A     c_-2 = (-6.501838765e-42 + 4.801476204e-42j) c_-1 = (1.580012997e-43 - 0.6285393611j) c_0 = (4.5305511e-38 + 7.836629e-39j)
    Adag  c_-2 = (2.667775181e-33 - 5.848968889e-33j) c_-1 = (-1.943281777e-30 - 8.485281374j) c_0 = (2.2439397e-25 + 2.2255737e-24j)
    Apol  c_-2 = (7.579227288e-37 + 2.510424148e-32j) c_-1 = (4.178404049e-32 - 36.2038672j) c_0 = (4.2128865e-28 - 5.420754e-24j)
    AT    c_-2 = (-6.961877574e-34 - 9.9392689e-33j) c_-1 = (8.463718668e-30 - 15.08494467j) c_0 = (-1.5828557e-25 + 1.7246594e-25j)
    Apd   c_-2 = (-5.391474701e-34 - 5.636502759e-33j) c_-1 = (-7.530753764e-30 - 0.7856742013j) c_0 = (-3.4549408e-26 + 4.4325496e-25j)
    Aant  c_-2 = (4.934252094e-42 + 3.817125869e-34j) c_-1 = (-1.240292043e-38 - 8.937986637e-30j) c_0 = (1.5097143e-34 + 4.7411959e-26j)
    Aped  c_-2 = (1.071592992e-37 - 5.027488336e-34j) c_-1 = (1.703269369e-33 - 0.6983770678j) c_0 = (3.2270834e-30 - 9.4148158e-27j)
  no point of S found
==========================================================================================
family a=1 b=0.5 N=8 tau=1 lam=0.0669380892315
  real members: Apol/Adag = 2.04015124505 , 2.04015124505 ;  AT/Adag = 1.24406911285 , 1.24406911285 ;  Apd/AT = 0.172942903345 , 0.172942903345 ; Adag/Aant = -78.865601705 , -78.9566802735
  check isotropic config: |P0-P1| = 2.51e-42 ; a - c sn(u0) = 5.43e-43
  r = 0.001
    A     c_-2 = (-5.724171087e-50 + 1.511893904e-48j) c_-1 = (-1.214504284e-46 + 2.033023153e-44j) c_0 = (-1.5618522e-41 - 2.3975283e-41j)
    Adag  c_-2 = (6.73937949e-35 + 3.842105924e-34j) c_-1 = (-4.24168703e-32 - 10.7065984j) c_0 = (-1.4304677e-28 - 1.8501491e-28j)
    Apol  c_-2 = (2.412470438e-38 - 3.609024916e-35j) c_-1 = (4.953236832e-35 - 21.84308006j) c_0 = (2.5327214e-31 + 9.187668e-29j)
    AT    c_-2 = (-8.494216495e-36 - 1.096945923e-34j) c_-1 = (-1.524866616e-32 - 13.31974838j) c_0 = (-2.8154781e-29 - 8.7445206e-30j)
    Apd   c_-2 = (2.070745318e-34 - 8.66621437e-35j) c_-1 = (1.150023389e-31 - 2.303555956j) c_0 = (9.1372649e-29 + 6.3884204e-29j)
    Aant  c_-2 = (-3.146554017e-47 + 7.52787436e-43j) c_-1 = (-2.461326927e-44 + 1.082110873e-38j) c_0 = (1.4419945e-42 + 2.1252722e-35j)
    Aped  c_-2 = (-3.311365194e-40 + 8.146812438e-37j) c_-1 = (-1.631232631e-36 - 0.7319979418j) c_0 = (-2.3319157e-33 + 4.4699693e-30j)
  r = 0.0001
    A     c_-2 = (3.058627714e-51 - 5.428183277e-51j) c_-1 = (-1.812936303e-47 - 3.892614524e-46j) c_0 = (-1.560775e-41 - 2.81306e-41j)
    Adag  c_-2 = (1.795103797e-32 - 2.821811312e-32j) c_-1 = (-2.751052237e-29 - 10.7065984j) c_0 = (-2.0661461e-25 - 4.4097915e-25j)
    Apol  c_-2 = (4.285676129e-36 + 2.094905156e-32j) c_-1 = (-9.166439577e-32 - 21.84308006j) c_0 = (1.9192707e-28 - 3.7642842e-25j)
    AT    c_-2 = (-8.780927603e-35 + 3.070919313e-33j) c_-1 = (-3.662112285e-29 - 13.31974838j) c_0 = (-2.0976636e-26 + 2.6978951e-26j)
    Apd   c_-2 = (1.00043287e-32 + 1.587766158e-32j) c_-1 = (-2.172401601e-28 - 2.303555956j) c_0 = (3.3422873e-25 + 2.3999342e-24j)
    Aant  c_-2 = (2.885266688e-49 - 5.782930963e-43j) c_-1 = (-4.118299658e-45 - 2.649897888e-38j) c_0 = (3.8075907e-42 - 5.4275102e-34j)
    Aped  c_-2 = (-1.493451641e-37 + 5.560862921e-34j) c_-1 = (-6.971639196e-34 - 0.7319979418j) c_0 = (-1.9843397e-29 - 2.7151961e-26j)
  residue ratios: Apol/Adag = (2.04015124505 + 5.23359146934e-30j) ; AT/Adag = (1.24406911285 - 2.2379953005e-31j) ; Apd/AT = (0.172942903345 - 1.58341427218e-29j) ; Adag/Aant = (4.04038149991e+38 + 6.27929922224e+31j) ; Aant/A = (67927671.8139 + 3163635.38228j)
  at Jacobi pole u = iK': 
    A     c_-2 = (-2.031087701e-42 - 1.35066196e-42j) c_-1 = (-4.280768935e-43 - 0.4998294967j) c_0 = (-9.6549718e-38 - 2.5469044e-38j)
    Adag  c_-2 = (3.962857425e-48 + 1.57844853e-48j) c_-1 = (4.454240078e-44 + 8.079039871e-43j) c_0 = (-3.3665775e-40 - 7.3594551e-39j)
    Apol  c_-2 = (-2.644991763e-44 - 1.954894588e-44j) c_-1 = (1.534454787e-40 - 2.633968106e-40j) c_0 = (1.0994874e-36 - 2.5289083e-36j)
    AT    c_-2 = (8.695719327e-45 + 5.59036469e-45j) c_-1 = (-4.853576111e-41 + 8.362275613e-41j) c_0 = (-3.3474834e-37 + 1.0294348e-36j)
    Apd   c_-2 = (5.469727715e-50 + 4.565730131e-47j) c_-1 = (7.61253281e-46 + 1.296191956e-42j) c_0 = (-7.0876275e-41 + 8.0878768e-38j)
    Aant  c_-2 = (-4.851862508e-43 - 9.165535875e-38j) c_-1 = (4.270987432e-38 + 0.1356855263j) c_0 = (3.2259483e-34 - 6.3838869e-30j)
    Aped  c_-2 = (2.598620553e-46 + 2.595545849e-46j) c_-1 = (-1.275150965e-42 + 3.363499767e-43j) c_0 = (-7.8907557e-39 - 2.648916e-38j)
  no point of S found
==========================================================================================
family a=1 b=0.8 N=7 tau=1 lam=0.149025430483
  real members: Apol/Adag = 1.51573357884 , 1.51573357884 ;  AT/Adag = 1.07285741796 , 1.07285741796 ;  Apd/AT = 0.42981887266 , 0.429812710357 ; Adag/Aant = 2.71377160139 , 2.71099300058
  check isotropic config: |P0-P1| = 2.79e-41 ; a - c sn(u0) = 2.3e-41
  r = 0.001
    A     c_-2 = (-9.09630923e-49 + 1.32212761e-47j) c_-1 = (2.987566501e-45 + 1.705825435e-44j) c_0 = (5.3903514e-41 - 4.9265917e-40j)
    Adag  c_-2 = (7.512019322e-36 + 1.94063819e-35j) c_-1 = (-2.69774787e-32 - 1.86924681j) c_0 = (-1.4844015e-29 + 9.6158825e-29j)
    Apol  c_-2 = (9.727054173e-39 + 1.86318702e-35j) c_-1 = (-6.554724482e-36 - 2.833280157j) c_0 = (2.8972378e-32 - 3.5252021e-29j)
    AT    c_-2 = (1.920483429e-35 + 1.204115311e-35j) c_-1 = (-1.660589706e-33 - 2.005435306j) c_0 = (9.3641452e-30 + 8.3808787e-30j)
    Apd   c_-2 = (-1.875191928e-35 + 7.703034283e-35j) c_-1 = (7.19049729e-32 - 1.009236108j) c_0 = (7.5647432e-29 + 1.0083421e-31j)
    Aant  c_-2 = (-9.980459796e-47 - 3.100791818e-40j) c_-1 = (-9.426651544e-44 + 1.041388939e-37j) c_0 = (-1.147073e-39 + 4.4314067e-35j)
    Aped  c_-2 = (-8.092726173e-46 - 4.281000735e-44j) c_-1 = (8.101963782e-44 - 4.902042176e-41j) c_0 = (1.1394197e-40 + 1.0712273e-37j)
  r = 0.0001
    A     c_-2 = (7.264838974e-53 + 9.071043251e-50j) c_-1 = (1.496748238e-49 - 1.74047587e-45j) c_0 = (5.4037937e-41 - 5.3881608e-40j)
    Adag  c_-2 = (3.799443977e-34 - 9.975663817e-33j) c_-1 = (-2.862687342e-29 - 1.86924681j) c_0 = (3.4538427e-26 + 2.4612048e-25j)
    Apol  c_-2 = (-6.611078831e-37 + 4.137609762e-33j) c_-1 = (5.552615347e-33 - 2.833280157j) c_0 = (-3.0527719e-29 - 3.5393702e-25j)
    AT    c_-2 = (8.24567082e-34 + 1.392277708e-33j) c_-1 = (2.286585039e-29 - 2.005435306j) c_0 = (-6.083548e-27 + 3.295891e-25j)
    Apd   c_-2 = (4.841962718e-33 - 2.56889228e-32j) c_-1 = (3.024525756e-29 - 1.009236108j) c_0 = (-1.0839724e-24 - 6.1630622e-25j)
    Aant  c_-2 = (2.369037018e-48 + 5.167975393e-42j) c_-1 = (-9.852993865e-45 - 1.696831795e-37j) c_0 = (-1.1680292e-39 - 1.8242713e-32j)
    Aped  c_-2 = (-7.203382374e-47 - 1.935013112e-43j) c_-1 = (-2.001082047e-43 - 1.131823599e-39j) c_0 = (-1.9049372e-39 + 2.3786442e-35j)
  residue ratios: Apol/Adag = (1.51573357884 + 2.32159101088e-29j) ; AT/Adag = (1.07285741796 + 2.86630976689e-29j) ; Apd/AT = (0.503250394036 + 9.34361197354e-30j) ; Adag/Aant = (1.10160996295e+37 + 6.39671901589e+29j) ; Aant/A = (97492404.8926 - 8389.66616466j)
  at Jacobi pole u = iK': 
    A     c_-2 = (1.437932475e-42 + 1.60565449e-46j) c_-1 = (-1.336044509e-43 - 0.3561135374j) c_0 = (-7.5305107e-39 - 2.6448623e-38j)
    Adag  c_-2 = (-1.735337034e-47 + 4.856591663e-47j) c_-1 = (-1.093742645e-43 - 8.512888171e-43j) c_0 = (1.1991457e-40 + 5.7288693j)
    Apol  c_-2 = (2.796029055e-45 - 4.625560732e-44j) c_-1 = (4.236727378e-41 + 7.135633653e-41j) c_0 = (-1.5032367e-36 + 8.6834396j)
    AT    c_-2 = (1.201993964e-45 - 1.009761955e-44j) c_-1 = (1.056088588e-41 + 3.664932649e-41j) c_0 = (-4.3115372e-37 + 6.14626j)
    Apd   c_-2 = (-2.777180718e-47 + 4.657167778e-46j) c_-1 = (-5.296944687e-43 + 6.51761432e-42j) c_0 = (1.0522909e-40 + 3.5444575j)
    Aant  c_-2 = (5.566151365e-42 + 1.316300211j) c_-1 = (-1.814669404e-37 - 0.3445912936j) c_0 = (8.3456964e-34 - 8.242676j)
    Aped  c_-2 = (1.846924961e-47 + 2.639123512e-46j) c_-1 = (-1.80939015e-43 + 9.710998358e-43j) c_0 = (3.0009345e-39 - 2.0931955j)
  no point of S found
==========================================================================================
family a=1 b=0.5 N=4 tau=1 lam=0.2
  real members: Apol/Adag = 32.0 , 32.0 ;  AT/Adag = 4.0 , 4.0 ;  Apd/AT = 0.00540441118862 , 0.00741530738928 ; Adag/Aant = 2.16176447545 , 2.96612295571
  check isotropic config: |P0-P1| = 4.9e-42 ; a - c sn(u0) = 1.05e-42
  r = 0.001
    A     c_-2 = (7.795563738e-52 - 7.178600551e-49j) c_-1 = (4.276423536e-49 + 5.525367285e-45j) c_0 = (4.27542e-42 - 3.2883804e-42j)
    Adag  c_-2 = (-6.918312619e-37 + 4.707940402e-35j) c_-1 = (3.971640985e-33 - 4.0j)     c_0 = (3.6560873e-30 - 7.6989994e-29j)
    Apol  c_-2 = (-2.509493321e-36 - 2.568938365e-33j) c_-1 = (-6.248893659e-34 - 128.0j)  c_0 = (-4.627547e-30 + 3.3383465e-27j)
    AT    c_-2 = (1.516031478e-35 + 2.459421732e-34j) c_-1 = (1.694147832e-32 - 16.0j)    c_0 = (4.6343627e-29 - 9.8148562e-29j)
    Apd   c_-2 = (-2.314706069e-30 + 4.075067505e-30j) c_-1 = (-2.941317485e-28 - 0.1025j) c_0 = (-1.0578436e-24 + 3.3455414e-24j)
    Aant  c_-2 = (-8.929929627e-48 - 3.131509821e-42j) c_-1 = (7.249450197e-45 - 4.429981884e-39j) c_0 = (9.580736e-42 + 1.8676484e-36j)
    Aped  c_-2 = (-5.326861935e-40 + 3.739496812e-37j) c_-1 = (-3.739174113e-38 - 0.32j)   c_0 = (4.7814741e-34 + 2.6842442e-30j)
  r = 0.0001
    A     c_-2 = (-1.522571043e-54 + 1.953067129e-50j) c_-1 = (4.098239222e-50 - 2.611504943e-46j) c_0 = (4.2516709e-42 - 1.135986e-42j)
    Adag  c_-2 = (-4.489199409e-34 + 2.562351057e-33j) c_-1 = (-1.573237179e-30 - 4.0j)    c_0 = (5.1597482e-26 + 9.3858997e-25j)
    Apol  c_-2 = (2.308895696e-34 - 5.258210868e-32j) c_-1 = (-3.704434357e-31 - 128.0j)  c_0 = (1.19125e-26 - 3.787192e-23j)
    AT    c_-2 = (6.247558847e-34 - 2.254133143e-32j) c_-1 = (-2.602666801e-29 - 16.0j)   c_0 = (5.8580785e-25 + 7.6970055e-25j)
    Apd   c_-2 = (1.724199783e-26 - 2.189120563e-26j) c_-1 = (-9.759307076e-23 - 0.1025j) c_0 = (5.4545793e-19 + 6.9169609e-19j)
    Aant  c_-2 = (4.242965037e-50 - 2.283213632e-42j) c_-1 = (7.326760808e-47 + 5.963992455e-38j) c_0 = (7.9391696e-42 + 3.1269527e-34j)
    Aped  c_-2 = (-3.810266901e-38 - 1.62824474e-34j) c_-1 = (-1.096404222e-33 - 0.32j)   c_0 = (6.448828e-30 - 1.8801826e-27j)
  residue ratios: Apol/Adag = (32.0 + 1.24932865706e-29j) ; AT/Adag = (4.0 - 4.93342982498e-30j) ; Apd/AT = (0.00640625 - 6.09956691221e-24j) ; Adag/Aant = (-6.70691659998e+37 - 8.23944263072e+28j) ; Aant/A = (-228373770.628 + 35839.0158667j)
  at Jacobi pole u = iK': 
    A     c_-2 = (3.400626593e-42 - 7.445273903e-43j) c_-1 = (-4.517345395e-43 - 0.8j)    c_0 = (5.9264507e-38 + 1.9591573e-39j)
    Adag  c_-2 = (2.153350474e-53 - 5.940637188e-51j) c_-1 = (-6.592819618e-50 - 4.679761549e-46j) c_0 = (2.1254326e-41 - 1.4539873e-41j)
    Apol  c_-2 = (-3.746571302e-43 - 2.897433265e-43j) c_-1 = (-1.501110254e-39 + 1.953318994e-39j) c_0 = (1.0673505e-35 - 8.9907513e-35j)
    AT    c_-2 = (-9.912848712e-44 - 9.529197688e-44j) c_-1 = (-4.055778389e-40 + 3.697718969e-40j) c_0 = (2.7866362e-36 - 2.5006163e-35j)
    Apd   c_-2 = (-2.483606076e-55 - 1.680891534e-54j) c_-1 = (-1.093863147e-51 - 4.059606624e-50j) c_0 = (1.5417891e-46 + 4.4518794e-46j)
    Aant  c_-2 = (9.195862431e-42 - 8.3335294e-38j) c_-1 = (-6.35074196e-38 - 1.6j)     c_0 = (3.8292904e-34 - 5.8022403e-30j)
    Aped  c_-2 = (7.178566522e-47 + 2.01380605e-47j) c_-1 = (1.436105983e-43 - 6.984467983e-43j) c_0 = (-6.9546327e-39 + 9.0871104e-39j)
  no point of S found
==========================================================================================
family a=1 b=0.5 N=10 tau=1 lam=0.0441581104773
  real members: Apol/Adag = 1.42722464667 , 1.42722464667 ;  AT/Adag = 1.03766632017 , 1.03766632017 ;  Apd/AT = 0.347656946968 , 0.347656946968 ; Adag/Aant = -74.4175010171 , -74.4175010171
  check isotropic config: |P0-P1| = 2.35e-41 ; a - c sn(u0) = 2.11e-43
  r = 0.001
    A     c_-2 = (8.218104603e-43 - 1.462465142e-41j) c_-1 = (6.254600417e-43 - 0.4108925492j) c_0 = (-3.7843877e-39 - 7.288065e-37j)
    Adag  c_-2 = (1.415726428e-34 + 1.960540948e-34j) c_-1 = (-4.775441192e-32 - 11.18902274j) c_0 = (-5.0179092e-29 + 6.1841049e-28j)
    Apol  c_-2 = (-3.519303313e-38 + 2.544459306e-35j) c_-1 = (-2.348548868e-34 - 15.96924903j) c_0 = (1.0994963e-31 - 1.0302614e-28j)
    AT    c_-2 = (-2.511977114e-35 - 1.875385994e-34j) c_-1 = (1.301970196e-32 - 11.61047205j) c_0 = (-1.6807399e-30 + 7.0820016e-29j)
    Apd   c_-2 = (-6.956991173e-34 + 1.420272024e-34j) c_-1 = (-1.744025991e-30 - 4.036461267j) c_0 = (-5.080709e-28 + 4.8072759e-28j)
    Aant  c_-2 = (-8.086878841e-43 + 3.905940413e-38j) c_-1 = (1.169620855e-38 + 0.1503547228j) c_0 = (8.6068418e-37 + 4.9207473e-32j)
    Aped  c_-2 = (-5.287636708e-39 + 5.187235284e-36j) c_-1 = (-4.60436476e-36 - 0.6766311898j) c_0 = (9.2874259e-34 + 1.9158904e-29j)
  r = 0.0001
    A     c_-2 = (8.209597371e-43 - 1.560661132e-41j) c_-1 = (2.051451589e-43 - 0.4108925492j) c_0 = (-6.6795018e-38 - 1.4550661e-35j)
    Adag  c_-2 = (2.724586526e-32 - 6.889614003e-32j) c_-1 = (2.13808481e-28 - 11.18902274j) c_0 = (-1.5142664e-24 + 2.5502046e-24j)
    Apol  c_-2 = (-2.453146765e-36 + 1.490098422e-32j) c_-1 = (2.920525734e-32 - 15.96924903j) c_0 = (-4.0818957e-28 - 2.1775983e-25j)
    AT    c_-2 = (3.730051901e-33 + 1.042525168e-32j) c_-1 = (5.493142658e-30 - 11.61047205j) c_0 = (2.7581258e-25 - 1.9042433e-25j)
    Apd   c_-2 = (7.069911137e-32 - 2.844431565e-31j) c_-1 = (-8.546504416e-28 - 4.036461267j) c_0 = (-4.0398216e-24 + 8.5979888e-24j)
    Aant  c_-2 = (3.443582184e-42 - 2.716924342e-37j) c_-1 = (1.205616245e-39 + 0.1503547228j) c_0 = (1.0472889e-33 - 3.933086e-29j)
    Aped  c_-2 = (-1.101849608e-37 + 1.434735076e-33j) c_-1 = (3.703843437e-33 - 0.6766311898j) c_0 = (-1.2877754e-29 + 1.2048074e-25j)
  residue ratios: Apol/Adag = (1.42722464667 - 2.726989975e-29j) ; AT/Adag = (1.03766632017 - 1.93375884575e-29j) ; Apd/AT = (0.347656946968 - 7.37747928692e-29j) ; Adag/Aant = (-74.4175010171 - 1.42202703711e-27j) ; Aant/A = (-0.365922242007 + 2.93432264525e-39j)
  at Jacobi pole u = iK': 
    A     c_-2 = (8.210952142e-43 - 8.215418781e-42j) c_-1 = (3.630462843e-43 - 0.4108925492j) c_0 = (-1.0040681e-38 - 1.5673258e-38j)
    Adag  c_-2 = (-9.792042941e-33 - 2.344012994e-32j) c_-1 = (2.53645206e-28 - 11.18902274j) c_0 = (-6.8902601e-25 + 7.7142532e-25j)
    Apol  c_-2 = (-2.687421445e-36 + 1.302585989e-32j) c_-1 = (-5.059110329e-33 - 15.96924903j) c_0 = (-2.866643e-28 + 5.870029e-25j)
    AT    c_-2 = (2.528266149e-33 + 9.938672372e-33j) c_-1 = (7.257990425e-30 - 11.61047205j) c_0 = (4.0123672e-25 - 1.0756801e-25j)
    Apd   c_-2 = (2.996192715e-32 - 1.063073351e-31j) c_-1 = (-1.009763456e-27 - 4.036461267j) c_0 = (-7.1545596e-24 + 6.7319341e-24j)
    Aant  c_-2 = (8.43341101e-42 - 1.115318094e-37j) c_-1 = (-5.44929748e-38 + 0.1503547228j) c_0 = (-5.4354859e-35 - 7.7723782e-30j)
    Aped  c_-2 = (-1.782053542e-38 + 7.814796596e-34j) c_-1 = (2.348693444e-33 - 0.6766311898j) c_0 = (-3.7927024e-30 + 1.1243026e-25j)
  no point of S found
