
=== (a,b)=(1,0.5) N=3 tau=1: lambda=0.24567806121422  |sn^2(2tauK/N)-lambda/beta|=0.0
    real member u=0.3: A_pol/A_dag=698.132922444543  A_dual/A_dag=0.0271411591194166  A_ip/A_dual=0.866939609163613  A_ped*A_dual=0.000533544663847554
  at xi (I_1), radius 0.106:
    Adag    c-4     3.75e-41 c-3       3.98e-39 c-2       4.37e-39 c-1 (-2.4291814e-38 - 2.2827839j) c0       4.39e-38  pole order 1  parity defect 2.6e-37
    Apol    c-4     3.82e-37 c-3       4.05e-35 c-2       5.18e-35 c-1 (2.9061873e-34 - 1593.6866j) c0       1.09e-33  pole order 1  parity defect 2.8e-36
    Adual   c-4     1.57e-42 c-3       4.06e-41 c-2        5.3e-40 c-1 (-2.8662236e-39 - 0.061957402j) c0       4.63e-38  pole order 1  parity defect 4.3e-37
    Aped    c-4     1.37e-45 c-3       8.26e-45 c-2        7.8e-44 c-1         1.13e-41 c0       1.02e-41  pole order 0  parity defect 1.7e-37
    Aip     c-4     7.22e-43 c-3       1.08e-40 c-2       1.41e-40 c-1 (-5.8352304e-40 - 0.032585358j) c0       8.57e-39  pole order 1  parity defect 1.2e-37
    Aant    c-4      1.5e-43 c-3       7.37e-43 c-2       3.39e-41 c-1         1.72e-40 c0       1.52e-39  pole order 0  parity defect 2.5e-36
    prod_i  c-4     6.24e-42 c-3       1.75e-41 c-2 (-0.0020189041 + 1.290858e-40j) c-1         1.59e-39 c0 (0.0013368535 - 1.8358862e-38j)  pole order 2  parity defect 2.0
    residue quotients: Apol/Adag (698.132922444543 + 1.34737957892042e-34j)  Adual/Adag (0.0271411591194166 - 9.66765006296795e-40j)
  at xi+2K (I_2), radius 0.106:
    Adag    c-4     1.01e-45 c-3       9.93e-45 c-2       7.08e-44 c-1          9.8e-43 c0       1.72e-41  pole order 0  parity defect 1.3e-39
    Apol    c-4     5.67e-43 c-3       6.12e-42 c-2       4.15e-41 c-1         7.11e-40 c0       1.32e-38  pole order 0  parity defect 9.8e-40
    Adual   c-4     5.01e-47 c-3       5.18e-46 c-2       7.19e-45 c-1         2.76e-44 c0       2.73e-43  pole order 0  parity defect 2.4e-41
    Aped    c-4     2.26e-43 c-3        1.1e-41 c-2        7.3e-42 c-1 (-1.0445983e-40 - 0.029768719j) c0       1.54e-39  pole order 1  parity defect 1.3e-38
    Aip     c-4     6.84e-43 c-3       6.94e-42 c-2       1.16e-41 c-1 (1.9107444e-40 - 0.032585358j) c0       1.91e-39  pole order 1  parity defect 7.4e-38
    Aant    c-4     4.25e-44 c-3       4.64e-43 c-2       3.46e-42 c-1         8.72e-41 c0        1.2e-39  pole order 0  parity defect 1.2e-39
    prod_i  c-4     1.68e-45 c-3       1.21e-44 c-2       1.25e-43 c-1         2.04e-43 c0 (0.00058402727 + 3.4451552e-42j)  pole order 0  parity defect 2.0

=== (a,b)=(1,0.7) N=3 tau=1: lambda=0.456214817951731  |sn^2(2tauK/N)-lambda/beta|=0.0
    real member u=0.3: A_pol/A_dag=64.3815008924759  A_dual/A_dag=0.173512960673007  A_ip/A_dual=0.483222900780202  A_ped*A_dual=0.0154581188232893
  at xi (I_1), radius 0.0748:
    Adag    c-4     4.88e-42 c-3       1.52e-40 c-2        5.8e-40 c-1 (-3.8208985e-39 - 1.3352018j) c0       1.24e-37  pole order 1  parity defect 4.1e-38
    Apol    c-4     1.71e-39 c-3       7.96e-38 c-2       4.32e-37 c-1 (-1.684865e-36 - 85.962293j) c0        1.2e-34  pole order 1  parity defect 7.6e-37
    Adual   c-4     1.54e-42 c-3       4.44e-41 c-2       8.38e-40 c-1 (1.5221661e-39 - 0.23167481j) c0       2.56e-38  pole order 1  parity defect 3.0e-37
    Aped    c-4      5.2e-46 c-3       1.35e-44 c-2       1.36e-43 c-1          4.1e-42 c0       1.34e-41  pole order 0  parity defect 8.7e-39
    Aip     c-4     6.34e-43 c-3       5.54e-42 c-2       7.44e-41 c-1 (6.876391e-40 - 0.063341997j) c0       2.13e-38  pole order 1  parity defect 3.4e-37
    Aant    c-4     1.03e-44 c-3       7.27e-44 c-2       1.44e-42 c-1          4.0e-41 c0        3.6e-40  pole order 0  parity defect 4.4e-38
    prod_i  c-4     1.64e-42 c-3       6.97e-41 c-2 (-0.014674745 - 2.5740905e-40j) c-1         6.59e-39 c0 (0.017666077 + 1.6802026e-37j)  pole order 2  parity defect 2.0
    residue quotients: Apol/Adag (64.3815008924759 - 1.07764225466246e-36j)  Adual/Adag (0.173512960673007 + 1.63656278070413e-39j)
  at xi+2K (I_2), radius 0.0748:
    Adag    c-4     1.23e-46 c-3       1.76e-45 c-2        7.9e-45 c-1         1.67e-43 c0       1.59e-41  pole order 0  parity defect 2.6e-40
    Apol    c-4     1.04e-44 c-3       4.68e-44 c-2       7.69e-43 c-1         1.09e-41 c0       1.05e-39  pole order 0  parity defect 5.2e-40
    Adual   c-4     3.81e-47 c-3       4.56e-46 c-2       7.24e-45 c-1         1.85e-44 c0       2.99e-42  pole order 0  parity defect 2.1e-40
    Aped    c-4     1.03e-43 c-3       9.06e-42 c-2       2.44e-41 c-1 (-2.2547703e-40 - 0.098120673j) c0       7.35e-39  pole order 1  parity defect 6.6e-38
    Aip     c-4     3.91e-43 c-3       6.17e-42 c-2        4.4e-41 c-1 (3.7760844e-40 - 0.063341997j) c0       1.49e-38  pole order 1  parity defect 1.2e-37
    Aant    c-4     4.02e-45 c-3       2.25e-44 c-2       8.88e-43 c-1         5.91e-42 c0       5.66e-40  pole order 0  parity defect 2.1e-40
    prod_i  c-4     2.26e-45 c-3       6.19e-44 c-2        9.7e-43 c-1         6.98e-42 c0 (0.0099790197 + 5.9690926e-41j)  pole order 0  parity defect 2.0

=== (a,b)=(1,0.5) N=4 tau=1: lambda=0.2  |sn^2(2tauK/N)-lambda/beta|=1.1e-41
    real member u=0.3: A_pol/A_dag=32.0  A_dual/A_dag=0.015625  A_ip/A_dual=1.34389592731779  A_ped*A_dual=0.0209983738643405
  at xi (I_1), radius 0.056:
    Adag    c-4     5.27e-41 c-3       9.86e-40 c-2       1.71e-38 c-1 (-1.376699e-37 - 4.0j) c0       3.31e-36  pole order 1  parity defect 1.5e-40
    Apol    c-4     2.59e-39 c-3        6.1e-38 c-2        5.8e-37 c-1 (7.3432822e-36 - 128.0j) c0        2.1e-34  pole order 1  parity defect 1.6e-40
    Adual   c-4      3.9e-43 c-3       3.24e-42 c-2       1.03e-40 c-1 (-2.9612367e-40 - 0.0625j) c0       3.88e-38  pole order 1  parity defect 4.1e-37
    Aped    c-4     1.37e-42 c-3       5.01e-41 c-2       1.29e-40 c-1 (1.3588839e-38 - 0.32j) c0       2.22e-37  pole order 1  parity defect 1.2e-37
    Aip     c-4     6.58e-40 c-3 (-1.0894231e-38 + 0.08j) c-2       5.99e-38 c-1 (2.058017e-36 - 0.1025j) c0       1.31e-34  pole order 3  parity defect 3.6e-37
    Aant    c-4     7.73e-45 c-3       1.17e-43 c-2        2.7e-42 c-1         3.72e-41 c0       7.24e-40  pole order 0  parity defect 1.7e-40
    prod_i  c-4 (0.005 + 6.5907387e-40j) c-3       3.99e-39 c-2 (-0.0085416667 - 1.2475704e-37j) c-1         8.47e-36 c0 (0.0049006076 + 2.9356674e-35j)  pole order 4  parity defect 2.0
    residue quotients: Apol/Adag (32.0 + 2.9371797708442e-36j)  Adual/Adag (0.015625 + 4.63742142456831e-40j)  Aip/Adual (1.64 + 3.29360417604487e-35j)  Aped/Adual (5.12 + 2.41679874490478e-37j)

=== (a,b)=(1,0.7) N=4 tau=1: lambda=0.328859060402685  |sn^2(2tauK/N)-lambda/beta|=0.0
    real member u=0.3: A_pol/A_dag=8.32986255726781  A_dual/A_dag=0.117649  A_ip/A_dual=0.920878523782279  A_ped*A_dual=0.212347257391144
  at xi (I_1), radius 0.0435:
    Adag    c-4     1.79e-41 c-3       5.72e-40 c-2        8.3e-39 c-1 (-6.0423432e-38 - 2.0408163j) c0       1.53e-36  pole order 1  parity defect 3.5e-37
    Apol    c-4     1.96e-40 c-3       4.44e-39 c-2       2.79e-38 c-1 (-1.415959e-36 - 16.99972j) c0       3.97e-35  pole order 1  parity defect 1.0e-36
    Adual   c-4     1.22e-42 c-3       4.53e-41 c-2       5.37e-40 c-1 (1.5970185e-38 - 0.2401j) c0       2.55e-38  pole order 1  parity defect 5.2e-37
    Aped    c-4      4.7e-43 c-3       3.62e-41 c-2       7.58e-40 c-1 (-3.9234094e-39 - 0.44142156j) c0       2.32e-37  pole order 1  parity defect 8.0e-37
    Aip     c-4     2.41e-40 c-3 (1.7413038e-38 + 0.11035539j) c-2       2.96e-37 c-1 (-9.508554e-37 - 0.23064828j) c0       1.56e-34  pole order 3  parity defect 1.7e-36
    Aant    c-4     8.38e-45 c-3       9.76e-44 c-2       3.69e-42 c-1         5.09e-41 c0       2.53e-39  pole order 0  parity defect 8.9e-38
    prod_i  c-4 (0.026496329 - 2.4020797e-39j) c-3        7.3e-38 c-2 (-0.073838203 + 7.3913333e-37j) c-1         3.13e-35 c0 (0.067053652 - 7.6046697e-34j)  pole order 4  parity defect 2.0
    residue quotients: Apol/Adag (8.32986255726781 - 4.47193671712725e-37j)  Adual/Adag (0.117649 + 1.13086811031348e-38j)  Aip/Adual (0.96063424243622 - 4.0241437169185e-36j)  Aped/Adual (1.83849045225946 - 1.38627411213889e-37j)

=== (a,b)=(1,0.5) N=5 tau=1: lambda=0.148624447437216  |sn^2(2tauK/N)-lambda/beta|=1.1e-41
    real member u=0.3: A_pol/A_dag=8.72262253292745  A_dual/A_dag=0.00955586682884121  A_ip/A_dual=4.99372490244129  A_ped*A_dual=0.0877983296154018
  at xi (I_1), radius 0.0399:
    Adag    c-4     5.53e-42 c-3       4.14e-39 c-2       1.88e-38 c-1 (-2.4408423e-36 - 6.4364349j) c0       2.65e-35  pole order 1  parity defect 2.8e-36
    Apol    c-4     7.36e-40 c-3       3.27e-38 c-2       2.82e-37 c-1 (1.502137e-35 - 56.142592j) c0       4.01e-34  pole order 1  parity defect 2.9e-36
    Adual   c-4     2.67e-43 c-3       2.09e-42 c-2        9.8e-41 c-1 (2.502142e-40 - 0.061505715j) c0       1.75e-37  pole order 1  parity defect 4.8e-37
    Aped    c-4     2.46e-47 c-3       3.29e-45 c-2       2.68e-44 c-1         2.67e-42 c0       2.45e-41  pole order 0  parity defect 8.6e-39
    Aip     c-4     7.53e-42 c-3       3.04e-40 c-2       9.65e-39 c-1 (-3.12201e-38 - 1.0087832j) c0       6.69e-36  pole order 1  parity defect 1.6e-36
    Aant    c-4     5.11e-44 c-3       3.29e-42 c-2       1.52e-41 c-1         2.08e-39 c0       2.06e-38  pole order 0  parity defect 8.3e-38
    prod_i  c-4     1.99e-41 c-3       5.13e-40 c-2 (-0.06204593 + 1.682372e-39j) c-1         5.39e-37 c0 (-0.00017426877 - 2.4617437e-37j)  pole order 2  parity defect 2.0
    residue quotients: Apol/Adag (8.72262253292745 + 5.64161940602865e-36j)  Adual/Adag (0.00955586682884121 + 3.66267635830975e-39j)
  at xi+2K (I_2), radius 0.0399:
    Adag    c-4     1.77e-46 c-3       2.26e-44 c-2       7.54e-44 c-1         3.24e-42 c0       1.96e-40  pole order 0  parity defect 2.7e-39
    Apol    c-4     5.43e-45 c-3       5.26e-44 c-2       1.67e-42 c-1         3.59e-41 c0       2.14e-39  pole order 0  parity defect 2.0e-39
    Adual   c-4     9.21e-49 c-3       3.73e-46 c-2       1.65e-45 c-1         6.56e-44 c0       1.75e-42  pole order 0  parity defect 2.9e-39
    Aped    c-4     3.63e-42 c-3       3.71e-41 c-2       1.08e-39 c-1 (3.4879881e-38 - 0.57697757j) c0       3.86e-37  pole order 1  parity defect 4.2e-37
    Aip     c-4     1.67e-41 c-3       7.96e-41 c-2       6.25e-39 c-1 (3.5400961e-37 + 0.67446739j) c0        4.6e-36  pole order 1  parity defect 3.8e-36
    Aant    c-4     1.23e-45 c-3       2.64e-44 c-2       3.79e-43 c-1         9.79e-42 c0       5.83e-40  pole order 0  parity defect 2.3e-39
    prod_i  c-4     2.72e-44 c-3       2.54e-42 c-2       1.21e-41 c-1         9.52e-40 c0 (-0.1026333 + 5.3889678e-38j)  pole order 0  parity defect 2.0

=== (a,b)=(1,0.7) N=5 tau=2: lambda=0.488954316312892  |sn^2(2tauK/N)-lambda/beta|=1.1e-41
    real member u=0.3: A_pol/A_dag=2367.27714282512  A_dual/A_dag=0.193007360023278  A_ip/A_dual=0.0594581357380244  A_ped*A_dual=0.000514209753301965
  at xi (I_1), radius 0.0717:
    Adag    c-4      4.5e-42 c-3       3.76e-39 c-2       8.12e-40 c-1 (3.864987e-41 - 1.1774716j) c0       1.15e-37  pole order 1  parity defect 1.7e-37
    Apol    c-4     2.69e-36 c-3       1.88e-33 c-2       6.53e-34 c-1 (-9.778885e-34 - 2787.4016j) c0       5.65e-32  pole order 1  parity defect 2.4e-35
    Adual   c-4     1.16e-40 c-3       1.02e-39 c-2       1.21e-38 c-1 (-7.9868604e-38 - 0.22726069j) c0       2.69e-36  pole order 1  parity defect 1.4e-35
    Aped    c-4     7.81e-46 c-3       7.48e-45 c-2       6.76e-44 c-1         1.23e-40 c0       2.28e-41  pole order 0  parity defect 3.3e-36
    Aip     c-4     1.61e-43 c-3       1.02e-40 c-2       2.79e-41 c-1 (-5.4673343e-41 - 0.012736481j) c0       4.35e-39  pole order 1  parity defect 3.7e-37
    Aant    c-4     5.18e-42 c-3       2.08e-40 c-2        3.0e-39 c-1         3.71e-38 c0       3.67e-37  pole order 0  parity defect 1.9e-36
    prod_i  c-4     3.05e-41 c-3        1.6e-40 c-2 (-0.0028945015 + 1.0338176e-39j) c-1         3.44e-38 c0 (0.0017941626 - 3.9770496e-37j)  pole order 2  parity defect 2.0
    residue quotients: Apol/Adag (2367.27714282512 - 8.30576289752998e-34j)  Adual/Adag (0.193007360023278 - 6.7836934307993e-38j)
  at xi+2K (I_2), radius 0.0717:
    Adag    c-4     2.72e-46 c-3       7.91e-46 c-2       4.74e-44 c-1         4.38e-43 c0       6.02e-41  pole order 0  parity defect 4.4e-39
    Apol    c-4     1.62e-41 c-3       4.07e-40 c-2       3.19e-39 c-1         7.75e-38 c0       5.79e-36  pole order 0  parity defect 6.5e-38
    Adual   c-4     4.56e-47 c-3       7.11e-46 c-2       2.04e-45 c-1         4.61e-43 c0       6.67e-42  pole order 0  parity defect 5.9e-41
    Aped    c-4     2.45e-45 c-3       4.43e-42 c-2       4.99e-42 c-1 (2.7849828e-41 - 0.0030478965j) c0       3.56e-40  pole order 1  parity defect 3.6e-37
    Aip     c-4      5.2e-45 c-3       1.56e-42 c-2       3.63e-42 c-1 (-1.6126831e-42 - 0.0010026056j) c0       2.28e-40  pole order 1  parity defect 2.1e-37
    Aant    c-4     5.57e-42 c-3        1.3e-40 c-2       7.91e-40 c-1         2.22e-38 c0       1.78e-36  pole order 0  parity defect 5.0e-38
    prod_i  c-4     4.48e-47 c-3       8.77e-46 c-2       2.63e-43 c-1         6.05e-43 c0 (0.00016914931 - 3.5061062e-43j)  pole order 0  parity defect 2.0

=== (a,b)=(1,0.5) N=6 tau=1: lambda=0.111111111111111  |sn^2(2tauK/N)-lambda/beta|=5.7e-42
    real member u=0.3: A_pol/A_dag=4.26666666666667  A_dual/A_dag=0.00694444444444444  A_ip/A_dual=13.3333333333333  A_ped*A_dual=0.163381854903804
  at xi (I_1), radius 0.0316:
    Adag    c-4     8.24e-41 c-3       3.66e-39 c-2       2.78e-37 c-1 (-5.9993451e-36 - 8.4852814j) c0       1.91e-34  pole order 1  parity defect 1.2e-36
    Apol    c-4     8.71e-40 c-3       1.13e-38 c-2        1.0e-36 c-1 (-2.1776865e-36 - 36.203867j) c0       6.87e-34  pole order 1  parity defect 2.1e-36
    Adual   c-4     6.63e-43 c-3       1.35e-41 c-2       7.19e-40 c-1 (1.1836382e-38 - 0.058925565j) c0        6.3e-37  pole order 1  parity defect 1.1e-37
    Aped    c-4     3.27e-42 c-3       2.48e-40 c-2       6.17e-39 c-1 (-7.8829917e-38 - 0.69837707j) c0       6.56e-37  pole order 1  parity defect 3.2e-36
    Aip     c-4      6.3e-41 c-3       8.03e-40 c-2       5.22e-38 c-1 (1.3396238e-36 - 0.7856742j) c0       1.28e-35  pole order 1  parity defect 6.7e-36
    Aant    c-4     5.04e-42 c-3       2.43e-40 c-2       2.54e-39 c-1         2.24e-37 c0       3.87e-36  pole order 0  parity defect 1.1e-5
    prod_i  c-4     3.74e-41 c-3       3.22e-39 c-2 (-0.046296296 - 8.8212125e-38j) c-1         9.92e-37 c0 (0.12201003 + 6.5466751e-35j)  pole order 2  parity defect 2.0
    residue quotients: Apol/Adag (4.26666666666667 + 2.76001680722146e-36j)  Adual/Adag (0.00694444444444444 + 6.30485871604396e-39j)  Aip/Adual (13.3333333333333 + 2.00559022510838e-35j)  Aped/Adual (11.8518518518519 - 3.71847019697272e-36j)

=== (a,b)=(1,0.7) N=6 tau=1: lambda=0.169550173010381  |sn^2(2tauK/N)-lambda/beta|=1.1e-41
    real member u=0.3: A_pol/A_dag=2.3257166114309  A_dual/A_dag=0.074528778280543  A_ip/A_dual=3.30744542715045  A_ped*A_dual=0.882360239767366
  at xi (I_1), radius 0.0262:
    Adag    c-4     7.59e-41 c-3       1.54e-39 c-2       1.17e-37 c-1 (4.2397581e-36 - 2.9357891j) c0       1.25e-34  pole order 1  parity defect 5.5e-36
    Apol    c-4     1.26e-40 c-3       2.76e-39 c-2       2.54e-37 c-1 (-8.7327232e-36 - 6.8278135j) c0       4.73e-34  pole order 1  parity defect 1.1e-35
    Adual   c-4     7.73e-43 c-3        1.1e-41 c-2        2.0e-39 c-1 (1.6171084e-37 - 0.21880078j) c0       7.81e-36  pole order 1  parity defect 6.8e-36
    Aped    c-4      1.4e-42 c-3        1.1e-40 c-2       2.69e-39 c-1 (-5.4593255e-38 - 0.70113514j) c0       4.01e-36  pole order 1  parity defect 4.7e-36
    Aip     c-4     1.49e-41 c-3       8.63e-40 c-2       7.17e-38 c-1 (1.7840431e-36 - 0.72367163j) c0        8.5e-35  pole order 1  parity defect 7.8e-36
    Aant    c-4      3.8e-42 c-3       5.54e-40 c-2       1.51e-38 c-1 (9.9759843e-38 - 0.65574321j) c0       1.27e-35  pole order 1  parity defect 2.5e-36
    prod_i  c-4     1.86e-40 c-3       1.71e-38 c-2 (-0.15833991 - 5.0702594e-37j) c-1         2.41e-35 c0 (0.60701585 - 8.1283655e-34j)  pole order 2  parity defect 2.0
    residue quotients: Apol/Adag (2.3257166114309 - 6.33328835162331e-36j)  Adual/Adag (0.074528778280543 - 5.25491240679379e-38j)  Aip/Adual (3.30744542715045 + 5.70927250849029e-36j)  Aped/Adual (3.20444539654715 - 2.61784640542177e-36j)

=== (a,b)=(1,0.7) N=7 tau=2: lambda=0.392193941132304  |sn^2(2tauK/N)-lambda/beta|=1.1e-41
    real member u=0.3: A_pol/A_dag=17.3941324650702  A_dual/A_dag=0.142131997533945  A_ip/A_dual=0.704649473231296  A_ped*A_dual=0.36042683631053
  at xi (I_1), radius 0.0269:
    Adag    c-4     1.21e-42 c-3       2.35e-40 c-2       1.57e-38 c-1 (4.651823e-37 - 1.673402j) c0       2.11e-35  pole order 1  parity defect 2.3e-36
    Apol    c-4     2.09e-40 c-3       1.57e-38 c-2       5.65e-37 c-1 (-2.7552196e-35 - 29.107377j) c0       1.38e-33  pole order 1  parity defect 6.4e-36
    Adual   c-4     8.32e-43 c-3       6.27e-41 c-2       3.34e-39 c-1 (2.7026724e-38 - 0.23784398j) c0       3.85e-37  pole order 1  parity defect 6.8e-36
    Aped    c-4     1.52e-46 c-3       3.28e-45 c-2       4.62e-44 c-1         6.66e-42 c0       2.84e-40  pole order 0  parity defect 7.2e-38
    Aip     c-4     2.71e-43 c-3       3.65e-42 c-2       9.57e-40 c-1 (-3.2590044e-39 + 1.2659488j) c0       8.49e-37  pole order 1  parity defect 1.4e-37
    Aant    c-4     8.59e-46 c-3       3.32e-44 c-2       9.39e-43 c-1         5.02e-41 c0        5.6e-39  pole order 0  parity defect 2.2e-39
    prod_i  c-4      7.9e-41 c-3       4.04e-39 c-2 (0.30109829 + 3.4654746e-38j) c-1         6.63e-37 c0 (0.75624514 + 1.7601798e-34j)  pole order 2  parity defect 2.0
    residue quotients: Apol/Adag (17.3941324650702 - 2.13001045755572e-35j)  Adual/Adag (0.142131997533945 - 2.33599365609159e-38j)
  at xi+2K (I_2), radius 0.0269:
    Adag    c-4     6.84e-47 c-3       2.49e-45 c-2       1.39e-43 c-1         3.09e-42 c0        1.1e-39  pole order 0  parity defect 2.7e-39
    Apol    c-4     5.49e-45 c-3       1.02e-43 c-2       8.77e-42 c-1         1.14e-40 c0       3.37e-38  pole order 0  parity defect 8.4e-39
    Adual   c-4     1.21e-47 c-3       1.88e-46 c-2        1.6e-44 c-1         4.31e-43 c0        2.4e-41  pole order 0  parity defect 3.4e-39
    Aped    c-4      3.0e-43 c-3       1.03e-41 c-2       9.85e-40 c-1 (3.5790766e-38 - 0.2784419j) c0       1.12e-36  pole order 1  parity defect 8.9e-37
    Aip     c-4     6.13e-43 c-3       3.93e-40 c-2       1.65e-39 c-1 (6.4898816e-37 - 1.4281968j) c0       1.85e-35  pole order 1  parity defect 1.8e-36
    Aant    c-4     7.46e-46 c-3       3.92e-45 c-2       5.75e-43 c-1         9.83e-42 c0       3.51e-39  pole order 0  parity defect 1.1e-39
    prod_i  c-4      3.0e-43 c-3       8.13e-43 c-2       5.09e-40 c-1         2.14e-39 c0 (1.8487177 + 8.3976397e-37j)  pole order 0  parity defect 2.0

=== (a,b)=(1,0.5) N=8 tau=1: lambda=0.0669380892314609  |sn^2(2tauK/N)-lambda/beta|=4.0e-41
    real member u=0.3: A_pol/A_dag=2.04015124505094  A_dual/A_dag=0.00485964497205465  A_ip/A_dual=44.273383256197  A_ped*A_dual=0.29286125660956
  at xi (I_1), radius 0.0227:
    Adag    c-4     3.82e-40 c-3       1.33e-38 c-2       3.97e-37 c-1 (-3.3029146e-36 - 10.706598j) c0       1.71e-33  pole order 1  parity defect 1.6e-35
    Apol    c-4     5.41e-40 c-3       8.07e-40 c-2       1.38e-36 c-1 (2.0786727e-35 - 21.84308j) c0        1.9e-33  pole order 1  parity defect 2.7e-35
    Adual   c-4     4.86e-43 c-3       1.37e-41 c-2       1.67e-39 c-1 (-4.3480551e-38 - 0.052030267j) c0       1.25e-36  pole order 1  parity defect 1.2e-35
    Aped    c-4     1.48e-41 c-3       1.88e-40 c-2       8.57e-39 c-1 (-4.8169082e-37 - 0.73199794j) c0       1.91e-35  pole order 1  parity defect 4.0e-36
    Aip     c-4     3.92e-40 c-3       5.71e-39 c-2       1.05e-36 c-1 (-2.3011837e-35 - 2.303556j) c0       1.34e-33  pole order 1  parity defect 1.3e-34
    Aant    c-4     1.44e-45 c-3       4.91e-43 c-2       4.92e-42 c-1          9.6e-40 c0       4.78e-39  pole order 0  parity defect 8.9e-38
    prod_i  c-4     2.65e-40 c-3       5.17e-38 c-2 (-0.11985463 + 1.2978859e-36j) c-1         6.88e-35 c0 (0.61436564 - 1.6342212e-34j)  pole order 2  parity defect 2.0
    residue quotients: Apol/Adag (2.04015124505094 + 2.57086062923677e-36j)  Adual/Adag (0.00485964497205465 - 2.56193030295963e-39j)  Aip/Adual (44.273383256197 - 4.05279594543047e-34j)  Aped/Adual (14.0686946766245 + 2.49900271904271e-36j)

=== (a,b)=(1,0.5) N=10 tau=3: lambda=0.234696063680616  |sn^2(2tauK/N)-lambda/beta|=0.0
    real member u=0.3: A_pol/A_dag=166.672153158563  A_dual/A_dag=0.0233880576094354  A_ip/A_dual=0.629613638049446  A_ped*A_dual=0.0354047684450367
  at xi (I_1), radius 0.0268:
    Adag    c-4     2.28e-41 c-3       2.76e-39 c-2       2.29e-38 c-1 (1.2437097e-36 - 2.6584204j) c0       9.58e-35  pole order 1  parity defect 1.4e-35
    Apol    c-4     2.09e-38 c-3       2.11e-36 c-2       1.89e-35 c-1 (-6.0191408e-34 - 443.08465j) c0        7.7e-32  pole order 1  parity defect 5.4e-35
    Adual   c-4      2.0e-42 c-3       5.74e-41 c-2       6.35e-40 c-1 (-5.6841374e-39 - 0.06217529j) c0       8.63e-37  pole order 1  parity defect 7.8e-36
    Aped    c-4     2.88e-44 c-3       3.41e-41 c-2       5.59e-40 c-1 (-2.7052112e-38 - 0.10377506j) c0       2.17e-37  pole order 1  parity defect 1.9e-36
    Aip     c-4     1.33e-42 c-3       2.68e-40 c-2       3.01e-39 c-1 (-7.658905e-38 - 0.03914641j) c0       6.52e-36  pole order 1  parity defect 5.5e-35
    Aant    c-4     4.68e-42 c-3       2.75e-40 c-2       6.69e-39 c-1 (2.6534593e-37 - 7.7004276j) c0       9.78e-36  pole order 1  parity defect 1.4e-39
    prod_i  c-4      1.8e-41 c-3       1.98e-40 c-2 (-0.0024339394 + 4.9547483e-39j) c-1         3.75e-37 c0 (0.0088965512 - 1.5182476e-35j)  pole order 2  parity defect 2.0
    residue quotients: Apol/Adag (166.672153158563 - 3.04393487449783e-34j)  Adual/Adag (0.0233880576094354 - 1.3079982460265e-38j)  Aip/Adual (0.629613638049446 - 1.17426457118687e-36j)  Aped/Adual (1.66907245813242 - 2.82505713437713e-37j)
