sym7_check.py  mp.dps=60  tolerance=1.0e-45  members per family: 9
====================================================================================================
EVEN  a=1.0 b=0.5 N=4 tau=1   caustic a''=0.8944271909999158785636695  b''=0.2236067977499789696409174   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=7.66e-61  sym=2.49e-60  S(k406a)=6.25  Abar_1=0.32  Abar*_1=2.0  Abar''_1=0.16  Abar''*_1=-1.454545455  ctrl_M=-2.80036e-60  gen_pair=-8.56e-60
  t1=0.3  rot/2pi=1.0  closure=1.76e-60  sym=4.93e-60  S(k406a)=5.189599142  Abar_1=0.3853862206  Abar*_1=1.660671725  Abar''_1=0.05050805831  Abar''*_1=-2.171649573  ctrl_M=-1.21349e-59  gen_pair=1.56e-61
  t1=0.77  rot/2pi=1.0  closure=3.02e-60  sym=3.71e-60  S(k406a)=5.333266293  Abar_1=0.3750047138  Abar*_1=1.706645214  Abar''_1=0.05625152896  Abar''*_1=-1.889546289  ctrl_M=-1.10459e-59  gen_pair=2.02e-59
  t1=1.2  rot/2pi=1.0  closure=8.22e-60  sym=3.46e-60  S(k406a)=6.017010971  Abar_1=0.3323909512  Abar*_1=1.925443511  Abar''_1=0.1112871961  Abar''*_1=-1.523554589  ctrl_M=-1.1357e-59  gen_pair=4.82e-60
  t1=1.9  rot/2pi=1.0  closure=7.67e-60  sym=4.35e-60  S(k406a)=6.0648688  Abar_1=0.329768057  Abar*_1=1.940758016  Abar''_1=0.1188448957  Abar''*_1=-1.50847975  ctrl_M=8.40107e-60  gen_pair=-6.41e-59
  t1=2.6  rot/2pi=1.0  closure=3.14e-60  sym=4.85e-60  S(k406a)=5.030381089  Abar_1=0.3975841918  Abar*_1=1.609721949  Abar''_1=0.0452003432  Abar''*_1=100.6403404  ctrl_M=1.15126e-59  gen_pair=2.8e-59
  t1=3.5  rot/2pi=1.0  closure=2.17e-60  sym=3.78e-60  S(k406a)=5.072626584  Abar_1=0.3942730589  Abar*_1=1.623240507  Abar''_1=0.04651650468  Abar''*_1=-3.616591387  ctrl_M=6.84532e-60  gen_pair=2.8e-60
  t1=4.4  rot/2pi=1.0  closure=8.74e-60  sym=4.5e-60  S(k406a)=6.08280757  Abar_1=0.3287955401  Abar*_1=1.946498422  Abar''_1=0.1219298879  Abar''*_1=-1.502962216  ctrl_M=9.64567e-60  gen_pair=-2.88e-60
  t1=5.3  rot/2pi=1.0  closure=7.13e-60  sym=4.32e-60  S(k406a)=5.700160762  Abar_1=0.3508672971  Abar*_1=1.824051444  Abar''_1=0.07749152731  Abar''*_1=-1.641559815  ctrl_M=-1.33017e-59  gen_pair=-7.03e-59
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   2.4968e-60   PASS
    k406a_C2   2.7589e-60   PASS
    k607       1.5402e-59   PASS
    k607_diff  2.987e-59   PASS
    k609       1.2913e-59   PASS
    k609_diff  1.264e-60   PASS
    k610       2.0639e-57   PASS
    k610_diff  2.0771e-55   PASS
    k905       1.4593e-58   PASS
    k905_diff  1.7673e-58   PASS
    k906       1.5558e-61   PASS
    k906_diff  1.5558e-61   PASS
    k907b      5.4451e-60   PASS
    k907b_diff 3.5004e-61   PASS
    k907b_pt   9.0234e-60   PASS
    k604b      9.0234e-60   PASS
    k605b      4.745e-60   PASS
    k903b      2.2714e-59   PASS
    k904b      9.8012e-60   PASS
  checks: closure=8.74e-60  central-symmetry=4.93e-60  P' on E'=1.04e-59  polar/dual circle geometry=1.11e-57  min|sin(angle of consecutive antipedal lines)|=0.0031074  E' foci on y-axis
====================================================================================================
EVEN  a=1.0 b=0.5 N=6 tau=1   caustic a''=0.9428090415820633658677925  b''=0.3726779962499649494015289   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=1.28e-60  sym=4.15e-60  S(k406a)=2.616199534  Abar_1=1.380288875  Abar*_1=-1.089027674e-60  Abar''_1=1.042026777  Abar''*_1=-1.004965086  ctrl_M=-0.00115252  gen_pair=-4.04e-60
  t1=0.3  rot/2pi=1.0  closure=2.11e-60  sym=3.82e-60  S(k406a)=3.167295824  Abar_1=1.396324467  Abar*_1=4.278323004e-61  Abar''_1=0.9454296234  Abar''*_1=-1.005741625  ctrl_M=-0.00115252  gen_pair=4.2e-60
  t1=0.77  rot/2pi=1.0  closure=1.18e-60  sym=1.41e-60  S(k406a)=2.634975433  Abar_1=1.380832345  Abar*_1=-3.889384549e-61  Abar''_1=1.038413199  Abar''*_1=-1.005160073  ctrl_M=-0.00115252  gen_pair=-1.01e-60
  t1=1.2  rot/2pi=1.0  closure=1.17e-59  sym=4.76e-60  S(k406a)=2.918017739  Abar_1=1.389049516  Abar*_1=3.500446094e-61  Abar''_1=0.9868160794  Abar''*_1=-1.006437363  ctrl_M=-0.00115252  gen_pair=-4.04e-60
  t1=1.9  rot/2pi=1.0  closure=6.39e-60  sym=3.24e-60  S(k406a)=2.966672373  Abar_1=1.390466662  Abar*_1=2.878144566e-60  Abar''_1=0.978457013  Abar''*_1=-1.00640878  ctrl_M=-0.00115252  gen_pair=1.2e-59
  t1=2.6  rot/2pi=1.0  closure=3.67e-60  sym=4.2e-60  S(k406a)=2.934485217  Abar_1=1.389529007  Abar*_1=-2.41141842e-60  Abar''_1=0.9839710112  Abar''*_1=-1.006434345  ctrl_M=-0.00115252  gen_pair=4.2e-60
  t1=3.5  rot/2pi=1.0  closure=1.8e-60  sym=2.72e-60  S(k406a)=3.178959848  Abar_1=1.396665742  Abar*_1=-1.711329201e-60  Abar''_1=0.9435776573  Abar''*_1=-1.00567945  ctrl_M=-0.00115252  gen_pair=-3.89e-60
  t1=4.4  rot/2pi=1.0  closure=3.93e-60  sym=2.76e-60  S(k406a)=2.985682363  Abar_1=1.391020728  Abar*_1=-1.516859974e-60  Abar''_1=0.9752292335  Abar''*_1=-1.006381951  ctrl_M=-0.00115252  gen_pair=1.09e-60
  t1=5.3  rot/2pi=1.0  closure=5.06e-60  sym=3.1e-60  S(k406a)=2.679838889  Abar_1=1.38213174  Abar*_1=-3.889384549e-61  Abar''_1=1.029879177  Abar''*_1=-1.005560895  ctrl_M=-0.00115252  gen_pair=-9.65e-60
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   1.739e-60   PASS
    k406a_C2   2.5758e-60   PASS
    k607       0.0   PASS   (ratio undefined, denominator = 0, at 9 of 9 members)
    k607_diff  6.1841e-60   PASS
    k609       6.6897e-60   PASS
    k609_diff  6.612e-60   PASS
    k610       8.3233e-60   PASS
    k610_diff  8.4011e-60   PASS
    k905       2.637e-59   PASS
    k905_diff  5.1527e-58   PASS
    k906       7.2343e-60   PASS
    k906_diff  6.5964e-59   PASS
    k907b      4.6673e-60   PASS
    k907b_diff 5.4451e-61   PASS
    k907b_pt   3.7338e-60   PASS
    k604b      4.2005e-60   PASS
    k605b      2.8004e-60   PASS
    k903b      1.1746e-59   PASS
    k904b      7.9343e-60   PASS
  checks: closure=1.17e-59  central-symmetry=4.76e-60  P' on E'=5.29e-60  polar/dual circle geometry=9.96e-59  min|sin(angle of consecutive antipedal lines)|=0.140869  E' foci on x-axis
====================================================================================================
EVEN  a=1.0 b=0.5 N=8 tau=1   caustic a''=0.9659512983419707876533162  b''=0.4278573486204707651246957   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=1.13e-60  sym=3.97e-60  S(k406a)=2.151878349  Abar_1=2.028919222  Abar*_1=-0.3763932583  Abar''_1=1.783029606  Abar''*_1=-0.9339649562  ctrl_M=-0.00122535  gen_pair=-2.41e-60
  t1=0.3  rot/2pi=1.0  closure=4.05e-61  sym=1.33e-60  S(k406a)=2.033071069  Abar_1=2.030499772  Abar*_1=-0.3761002721  Abar''_1=1.76967497  Abar''*_1=-0.9347216769  ctrl_M=-0.00122535  gen_pair=7.78e-61
  t1=0.77  rot/2pi=1.0  closure=2.63e-60  sym=2.51e-60  S(k406a)=2.099237614  Abar_1=2.029619373  Abar*_1=-0.3762634152  Abar''_1=1.777087843  Abar''*_1=-0.934300258  ctrl_M=-0.00122535  gen_pair=-1.48e-60
  t1=1.2  rot/2pi=1.0  closure=5.12e-61  sym=4.92e-61  S(k406a)=2.058723733  Abar_1=2.030158397  Abar*_1=-0.3761635141  Abar''_1=1.772541621  Abar''*_1=-0.9345582981  ctrl_M=-0.00122535  gen_pair=-3.11e-61
  t1=1.9  rot/2pi=1.0  closure=5.13e-60  sym=3.28e-60  S(k406a)=2.072532718  Abar_1=2.029974656  Abar*_1=-0.376197562  Abar''_1=1.774088583  Abar''*_1=-0.9344703479  ctrl_M=-0.00122535  gen_pair=-6.46e-60
  t1=2.6  rot/2pi=1.0  closure=1.36e-60  sym=2.1e-60  S(k406a)=2.147272214  Abar_1=2.028980476  Abar*_1=-0.376381895  Abar''_1=1.782508118  Abar''*_1=-0.9339942967  ctrl_M=-0.00122535  gen_pair=1.56e-60
  t1=3.5  rot/2pi=1.0  closure=2.96e-60  sym=4.64e-60  S(k406a)=2.057846271  Abar_1=2.030170072  Abar*_1=-0.3761613507  Abar''_1=1.772443414  Abar''*_1=-0.9345638867  ctrl_M=-0.00122535  gen_pair=-2.1e-60
  t1=4.4  rot/2pi=1.0  closure=1.49e-60  sym=1.05e-60  S(k406a)=2.078402034  Abar_1=2.029896565  Abar*_1=-0.3762120345  Abar''_1=1.77474691  Abar''*_1=-0.9344329654  ctrl_M=-0.00122535  gen_pair=-2.33e-61
  t1=5.3  rot/2pi=1.0  closure=1.3e-60  sym=1.01e-60  S(k406a)=2.030082383  Abar_1=2.030539548  Abar*_1=-0.3760929047  Abar''_1=1.769341587  Abar''*_1=-0.9347407111  ctrl_M=-0.00122535  gen_pair=1.09e-60
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   9.2635e-61   PASS
    k406a_C2   8.0121e-61   PASS
    k607       4.2005e-60   PASS
    k607_diff  1.5558e-60   PASS
    k609       2.8004e-60   PASS
    k609_diff  4.9784e-60   PASS
    k610       2.567e-60   PASS
    k610_diff  2.4114e-60   PASS
    k905       1.0424e-59   PASS
    k905_diff  4.381e-58   PASS
    k906       7.3898e-60   PASS
    k906_diff  1.4686e-58   PASS
    k907b      2.2558e-60   PASS
    k907b_diff 3.306e-61   PASS
    k907b_pt   2.4892e-60   PASS
    k604b      2.8004e-60   PASS
    k605b      2.4892e-60   PASS
    k903b      9.3345e-60   PASS
    k904b      7.701e-60   PASS
  checks: closure=5.13e-60  central-symmetry=4.64e-60  P' on E'=2.96e-60  polar/dual circle geometry=5.04e-59  min|sin(angle of consecutive antipedal lines)|=0.122595  E' foci on x-axis
====================================================================================================
EVEN  a=1.0 b=0.5 N=10 tau=1   caustic a''=0.9776716675462858361509732  b''=0.4536980157800287949974884   (0.2s)
  t1=0.0  rot/2pi=1.0  closure=4.92e-60  sym=1.14e-59  S(k406a)=1.722202382  Abar_1=2.389774951  Abar*_1=-0.5310336795  Abar''_1=2.228368524  Abar''*_1=-0.8842939984  ctrl_M=-0.00124008  gen_pair=-2.41e-60
  t1=0.3  rot/2pi=1.0  closure=4.68e-60  sym=7.1e-60  S(k406a)=1.737572269  Abar_1=2.389874118  Abar*_1=-0.5310557156  Abar''_1=2.227416404  Abar''*_1=-0.8842574702  ctrl_M=-0.00124008  gen_pair=6.22e-61
  t1=0.77  rot/2pi=1.0  closure=1.21e-59  sym=7.78e-60  S(k406a)=1.744856625  Abar_1=2.389921119  Abar*_1=-0.5310661596  Abar''_1=2.226965442  Abar''*_1=-0.8842401587  ctrl_M=-0.00124008  gen_pair=1.71e-60
  t1=1.2  rot/2pi=1.0  closure=2.14e-59  sym=1.07e-59  S(k406a)=1.72345555  Abar_1=2.389783036  Abar*_1=-0.5310354762  Abar''_1=2.228290864  Abar''*_1=-0.88429102  ctrl_M=-0.00124008  gen_pair=4.67e-61
  t1=1.9  rot/2pi=1.0  closure=3.56e-60  sym=3.63e-60  S(k406a)=1.725506354  Abar_1=2.389796268  Abar*_1=-0.5310384164  Abar''_1=2.228163784  Abar''*_1=-0.884286146  ctrl_M=-0.00124008  gen_pair=3.42e-60
  t1=2.6  rot/2pi=1.0  closure=8.6e-60  sym=1.11e-59  S(k406a)=1.727161885  Abar_1=2.389806949  Abar*_1=-0.5310407899  Abar''_1=2.228061209  Abar''*_1=-0.8842822115  ctrl_M=-0.00124008  gen_pair=-1.56e-61
  t1=3.5  rot/2pi=1.0  closure=5.51e-60  sym=8.55e-60  S(k406a)=1.729184219  Abar_1=2.389819998  Abar*_1=-0.5310436894  Abar''_1=2.227935919  Abar''*_1=-0.8842774052  ctrl_M=-0.00124008  gen_pair=7.78e-61
  t1=4.4  rot/2pi=1.0  closure=1.79e-59  sym=1.01e-59  S(k406a)=1.726556002  Abar_1=2.38980304  Abar*_1=-0.5310399213  Abar''_1=2.228098748  Abar''*_1=-0.8842836514  ctrl_M=-0.00124008  gen_pair=-1.94e-60
  t1=5.3  rot/2pi=1.0  closure=1.25e-59  sym=9.68e-60  S(k406a)=1.729517703  Abar_1=2.389822149  Abar*_1=-0.5310441675  Abar''_1=2.22791526  Abar''*_1=-0.8842766126  ctrl_M=-0.00124008  gen_pair=-4.43e-60
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   2.227e-60   PASS
    k406a_C2   2.6594e-60   PASS
    k607       5.9119e-60   PASS
    k607_diff  3.1115e-60   PASS
    k609       5.4451e-60   PASS
    k609_diff  1.2135e-59   PASS
    k610       6.1452e-60   PASS
    k610_diff  5.4451e-60   PASS
    k905       2.0769e-59   PASS
    k905_diff  1.0704e-57   PASS
    k906       1.4935e-59   PASS
    k906_diff  4.4557e-58   PASS
    k907b      4.5895e-60   PASS
    k907b_diff 7.3898e-61   PASS
    k907b_pt   4.8228e-60   PASS
    k604b      4.6673e-60   PASS
    k605b      3.5782e-60   PASS
    k903b      1.2446e-59   PASS
    k904b      1.4935e-59   PASS
  checks: closure=2.14e-59  central-symmetry=1.14e-59  P' on E'=6.38e-60  polar/dual circle geometry=6.97e-59  min|sin(angle of consecutive antipedal lines)|=0.104375  E' foci on x-axis
====================================================================================================
EVEN  a=1.0 b=0.5 N=12 tau=1   caustic a''=0.9842951849116583684707614  b''=0.4678001828134270191964068   (0.2s)
  t1=0.0  rot/2pi=1.0  closure=2.33e-61  sym=4.35e-61  S(k406a)=1.546753049  Abar_1=2.60383621  Abar*_1=-0.6112867959  Abar''_1=2.493240417  Abar''*_1=-0.8551471129  ctrl_M=-0.00124466  gen_pair=-1.56e-61
  t1=0.3  rot/2pi=1.0  closure=1.83e-60  sym=4.76e-60  S(k406a)=1.545708684  Abar_1=2.603839768  Abar*_1=-0.6112859605  Abar''_1=2.493204057  Abar''*_1=-0.8551482828  ctrl_M=-0.00124466  gen_pair=-6.22e-61
  t1=0.77  rot/2pi=1.0  closure=2.71e-60  sym=3.07e-60  S(k406a)=1.54558419  Abar_1=2.603840193  Abar*_1=-0.6112858609  Abar''_1=2.493199723  Abar''*_1=-0.8551484223  ctrl_M=-0.00124466  gen_pair=0.0
  t1=1.2  rot/2pi=1.0  closure=4.13e-60  sym=4.43e-60  S(k406a)=1.54306753  Abar_1=2.603848767  Abar*_1=-0.6112838479  Abar''_1=2.493112109  Abar''*_1=-0.8551512414  ctrl_M=-0.00124466  gen_pair=-1.17e-60
  t1=1.9  rot/2pi=1.0  closure=6.46e-60  sym=3.19e-60  S(k406a)=1.543133885  Abar_1=2.603848541  Abar*_1=-0.611283901  Abar''_1=2.493114419  Abar''*_1=-0.8551511671  ctrl_M=-0.00124466  gen_pair=-3.42e-60
  t1=2.6  rot/2pi=1.0  closure=1.57e-60  sym=2.32e-60  S(k406a)=1.543604676  Abar_1=2.603846937  Abar*_1=-0.6112842775  Abar''_1=2.493130808  Abar''*_1=-0.8551506397  ctrl_M=-0.00124466  gen_pair=1.56e-61
  t1=3.5  rot/2pi=1.0  closure=3.8e-60  sym=2.62e-60  S(k406a)=1.546709019  Abar_1=2.60383636  Abar*_1=-0.6112867606  Abar''_1=2.493238884  Abar''*_1=-0.8551471623  ctrl_M=-0.00124466  gen_pair=1.56e-61
  t1=4.4  rot/2pi=1.0  closure=8.0e-60  sym=3.72e-60  S(k406a)=1.543230871  Abar_1=2.603848211  Abar*_1=-0.6112839785  Abar''_1=2.493117795  Abar''*_1=-0.8551510584  ctrl_M=-0.00124466  gen_pair=-1.32e-60
  t1=5.3  rot/2pi=1.0  closure=1.54e-60  sym=3.62e-60  S(k406a)=1.545876852  Abar_1=2.603839195  Abar*_1=-0.611286095  Abar''_1=2.493209912  Abar''*_1=-0.8551480944  ctrl_M=-0.00124466  gen_pair=9.33e-61
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   9.9861e-61   PASS
    k406a_C2   7.0446e-61   PASS
    k607       2.567e-60   PASS
    k607_diff  1.5558e-60   PASS
    k609       1.4002e-60   PASS
    k609_diff  3.4227e-60   PASS
    k610       1.7113e-60   PASS
    k610_diff  1.478e-60   PASS
    k905       2.4114e-60   PASS
    k905_diff  1.394e-58   PASS
    k906       4.5117e-60   PASS
    k906_diff  1.6927e-58   PASS
    k907b      2.0225e-60   PASS
    k907b_diff 3.5004e-61   PASS
    k907b_pt   1.7113e-60   PASS
    k604b      1.1668e-60   PASS
    k605b      9.3345e-61   PASS
    k903b      3.8894e-60   PASS
    k904b      4.2005e-60   PASS
  checks: closure=8.0e-60  central-symmetry=4.76e-60  P' on E'=2.49e-60  polar/dual circle geometry=3.42e-59  min|sin(angle of consecutive antipedal lines)|=0.0898313  E' foci on x-axis
====================================================================================================
EVEN  a=1.0 b=0.8 N=4 tau=1   caustic a''=0.7808688094430303276205144  b''=0.4997560380435394096771292   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=6.22e-61  sym=7.17e-61  S(k406a)=6.724  Abar_1=0.761451517  Abar*_1=3.2  Abar''_1=0.3807257585  Abar''*_1=3.951612903  ctrl_M=-5.44514e-61  gen_pair=-2.33e-61
  t1=0.3  rot/2pi=1.0  closure=4.98e-61  sym=6.41e-61  S(k406a)=6.648266158  Abar_1=0.7701256055  Abar*_1=3.163957719  Abar''_1=0.351241399  Abar''*_1=1.979591052  ctrl_M=-8.55665e-61  gen_pair=-1.01e-60
  t1=0.77  rot/2pi=1.0  closure=1.93e-60  sym=1.25e-60  S(k406a)=6.565713316  Abar_1=0.7798086443  Abar*_1=3.124670228  Abar''_1=0.3235530339  Abar''*_1=1.576281886  ctrl_M=-1.16682e-60  gen_pair=9.33e-61
  t1=1.2  rot/2pi=1.0  closure=1.54e-60  sym=1.16e-60  S(k406a)=6.66990711  Abar_1=0.7676268823  Abar*_1=3.174256804  Abar''_1=0.359227587  Abar''*_1=2.209107714  ctrl_M=-1.08903e-60  gen_pair=4.67e-61
  t1=1.9  rot/2pi=1.0  closure=1.27e-60  sym=5.92e-61  S(k406a)=6.680397089  Abar_1=0.7664215063  Abar*_1=3.179249061  Abar''_1=0.3632197152  Abar''*_1=2.364955608  ctrl_M=1.55575e-61  gen_pair=-2.49e-60
  t1=2.6  rot/2pi=1.0  closure=1.21e-60  sym=1.29e-60  S(k406a)=6.572209046  Abar_1=0.7790379101  Abar*_1=3.127761592  Abar''_1=0.3255860426  Abar''*_1=1.594871786  ctrl_M=-2.17806e-60  gen_pair=3.42e-60
  t1=3.5  rot/2pi=1.0  closure=4.54e-61  sym=6.96e-61  S(k406a)=6.625787081  Abar_1=0.7727383837  Abar*_1=3.153259765  Abar''_1=0.3432838891  Abar''*_1=1.819689847  ctrl_M=6.22302e-61  gen_pair=-5.45e-61
  t1=4.4  rot/2pi=1.0  closure=2.83e-60  sym=1.68e-60  S(k406a)=6.684414894  Abar_1=0.765960833  Abar*_1=3.181161163  Abar''_1=0.3647704227  Abar''*_1=2.435966241  ctrl_M=1.40018e-60  gen_pair=-1.56e-61
  t1=5.3  rot/2pi=1.0  closure=3.21e-61  sym=3.67e-61  S(k406a)=6.609713442  Abar_1=0.7746175451  Abar*_1=3.145610204  Abar''_1=0.337793416  Abar''*_1=1.734982825  ctrl_M=-4.66726e-61  gen_pair=1.56e-61
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   8.7165e-61   PASS
    k406a_C2   1.0955e-60   PASS
    k607       1.4002e-60   PASS
    k607_diff  4.6673e-60   PASS
    k609       2.4114e-60   PASS
    k609_diff  7.7788e-61   PASS
    k610       1.3535e-59   PASS
    k610_diff  5.3518e-59   PASS
    k905       3.2671e-60   PASS
    k905_diff  1.618e-59   PASS
    k906       1.5558e-61   PASS
    k906_diff  1.5558e-61   PASS
    k907b      1.2446e-60   PASS
    k907b_diff 8.5566e-61   PASS
    k907b_pt   1.4002e-60   PASS
    k604b      1.2446e-60   PASS
    k605b      1.089e-60   PASS
    k903b      2.4892e-60   PASS
    k904b      2.3336e-60   PASS
  checks: closure=2.83e-60  central-symmetry=1.68e-60  P' on E'=1.56e-60  polar/dual circle geometry=1.74e-59  min|sin(angle of consecutive antipedal lines)|=0.062439  E' foci on y-axis
====================================================================================================
EVEN  a=1.0 b=0.8 N=6 tau=1   caustic a''=0.8958064164776166280407348  b''=0.665183535426478468548222   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=7.0e-61  sym=7.78e-61  S(k406a)=3.760594755  Abar_1=1.788422125  Abar*_1=2.244994432  Abar''_1=1.38387548  Abar''*_1=1.495170979  ctrl_M=-0.00289095  gen_pair=1.56e-61
  t1=0.3  rot/2pi=1.0  closure=1.27e-60  sym=1.04e-60  S(k406a)=3.780095432  Abar_1=1.788966044  Abar*_1=2.24567721  Abar''_1=1.380119156  Abar''*_1=1.494622913  ctrl_M=-0.00289095  gen_pair=0.0
  t1=0.77  rot/2pi=1.0  closure=7.78e-61  sym=3.89e-61  S(k406a)=3.769212763  Abar_1=1.788662482  Abar*_1=2.24529615  Abar''_1=1.382212923  Abar''*_1=1.494928632  ctrl_M=-0.00289095  gen_pair=1.56e-61
  t1=1.2  rot/2pi=1.0  closure=9.75e-61  sym=7.17e-61  S(k406a)=3.768900665  Abar_1=1.788653777  Abar*_1=2.245285223  Abar''_1=1.382273062  Abar''*_1=1.494937405  ctrl_M=-0.00289095  gen_pair=0.0
  t1=1.9  rot/2pi=1.0  closure=7.78e-62  sym=6.79e-61  S(k406a)=3.771712048  Abar_1=1.788732193  Abar*_1=2.245383658  Abar''_1=1.381731514  Abar''*_1=1.494858391  ctrl_M=-0.00289095  gen_pair=-2.33e-61
  t1=2.6  rot/2pi=1.0  closure=1.28e-60  sym=1.48e-60  S(k406a)=3.785134994  Abar_1=1.789106634  Abar*_1=2.245853692  Abar''_1=1.379151713  Abar''*_1=1.494481456  ctrl_M=-0.00289095  gen_pair=-1.56e-61
  t1=3.5  rot/2pi=1.0  closure=9.62e-61  sym=8.59e-61  S(k406a)=3.784010575  Abar_1=1.789075265  Abar*_1=2.245814314  Abar''_1=1.37936745  Abar''*_1=1.494513012  ctrl_M=-0.00289095  gen_pair=-1.56e-61
  t1=4.4  rot/2pi=1.0  closure=3.21e-61  sym=4.67e-61  S(k406a)=3.772879815  Abar_1=1.788764766  Abar*_1=2.245424546  Abar''_1=1.381506694  Abar''*_1=1.494825578  ctrl_M=-0.00289095  gen_pair=0.0
  t1=5.3  rot/2pi=1.0  closure=3.21e-61  sym=5.06e-61  S(k406a)=3.76059517  Abar_1=1.788422137  Abar*_1=2.244994447  Abar''_1=1.3838754  Abar''*_1=1.495170967  ctrl_M=-0.00289095  gen_pair=0.0
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   2.0945e-61   PASS
    k406a_C2   3.3804e-61   PASS
    k607       6.223e-61   PASS
    k607_diff  1.2446e-60   PASS
    k609       1.0112e-60   PASS
    k609_diff  1.4002e-60   PASS
    k610       4.6673e-61   PASS
    k610_diff  6.223e-61   PASS
    k905       1.7113e-60   PASS
    k905_diff  1.2446e-59   PASS
    k906       1.089e-60   PASS
    k906_diff  3.7338e-60   PASS
    k907b      5.4451e-61   PASS
    k907b_diff 5.4451e-61   PASS
    k907b_pt   4.6673e-61   PASS
    k604b      5.4451e-61   PASS
    k605b      4.6673e-61   PASS
    k903b      1.1668e-60   PASS
    k904b      1.3224e-60   PASS
  checks: closure=1.28e-60  central-symmetry=1.48e-60  P' on E'=9.33e-61  polar/dual circle geometry=2.8e-60  min|sin(angle of consecutive antipedal lines)|=0.403658  E' foci on x-axis
====================================================================================================
EVEN  a=1.0 b=0.8 N=8 tau=1   caustic a''=0.9401810974574230288660234  b''=0.7238373408551429376540643   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=7.08e-60  sym=6.08e-60  S(k406a)=3.122120927  Abar_1=2.310572191  Abar*_1=2.033023345  Abar''_1=2.020863607  Abar''*_1=1.61213576  ctrl_M=-0.00311249  gen_pair=0.0
  t1=0.3  rot/2pi=1.0  closure=8.82e-60  sym=7.48e-60  S(k406a)=3.120284702  Abar_1=2.310592256  Abar*_1=2.03300569  Abar''_1=2.020689077  Abar''*_1=1.612149516  ctrl_M=-0.00311249  gen_pair=0.0
  t1=0.77  rot/2pi=1.0  closure=9.05e-60  sym=5.01e-60  S(k406a)=3.122046079  Abar_1=2.310573008  Abar*_1=2.033022626  Abar''_1=2.020856492  Abar''*_1=1.612136321  ctrl_M=-0.00311249  gen_pair=4.67e-61
  t1=1.2  rot/2pi=1.0  closure=1.17e-59  sym=6.0e-60  S(k406a)=3.120319659  Abar_1=2.310591874  Abar*_1=2.033006026  Abar''_1=2.020692399  Abar''*_1=1.612149254  ctrl_M=-0.00311249  gen_pair=7.78e-61
  t1=1.9  rot/2pi=1.0  closure=1.21e-59  sym=6.82e-60  S(k406a)=3.120494438  Abar_1=2.310589964  Abar*_1=2.033007707  Abar''_1=2.020709011  Abar''*_1=1.612147945  ctrl_M=-0.00311249  gen_pair=3.42e-60
  t1=2.6  rot/2pi=1.0  closure=7.67e-60  sym=6.1e-60  S(k406a)=3.121258011  Abar_1=2.31058162  Abar*_1=2.033015048  Abar''_1=2.020781584  Abar''*_1=1.612142224  ctrl_M=-0.00311249  gen_pair=1.56e-61
  t1=3.5  rot/2pi=1.0  closure=1.17e-59  sym=9.03e-60  S(k406a)=3.120204887  Abar_1=2.310593128  Abar*_1=2.033004923  Abar''_1=2.020681492  Abar''*_1=1.612150114  ctrl_M=-0.00311249  gen_pair=0.0
  t1=4.4  rot/2pi=1.0  closure=8.68e-60  sym=4.94e-60  S(k406a)=3.120582768  Abar_1=2.310588999  Abar*_1=2.033008556  Abar''_1=2.020717406  Abar''*_1=1.612147283  ctrl_M=-0.00311249  gen_pair=-1.01e-60
  t1=5.3  rot/2pi=1.0  closure=1.13e-59  sym=6.58e-60  S(k406a)=3.120722656  Abar_1=2.31058747  Abar*_1=2.033009901  Abar''_1=2.020730701  Abar''*_1=1.612146235  ctrl_M=-0.00311249  gen_pair=-2.1e-60
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   1.653e-60   PASS
    k406a_C2   1.1968e-60   PASS
    k607       1.089e-60   PASS
    k607_diff  2.1781e-60   PASS
    k609       3.2671e-60   PASS
    k609_diff  6.5342e-60   PASS
    k610       1.2446e-60   PASS
    k610_diff  2.0225e-60   PASS
    k905       6.6897e-60   PASS
    k905_diff  5.4763e-59   PASS
    k906       8.0899e-60   PASS
    k906_diff  3.9827e-59   PASS
    k907b      2.3336e-60   PASS
    k907b_diff 2.4892e-60   PASS
    k907b_pt   4.3561e-60   PASS
    k604b      2.9559e-60   PASS
    k605b      2.3336e-60   PASS
    k903b      7.312e-60   PASS
    k904b      8.5566e-60   PASS
  checks: closure=1.21e-59  central-symmetry=9.03e-60  P' on E'=5.29e-60  polar/dual circle geometry=1.9e-59  min|sin(angle of consecutive antipedal lines)|=0.323418  E' foci on x-axis
====================================================================================================
EVEN  a=1.0 b=0.8 N=10 tau=1   caustic a''=0.9613685610641968664712655  b''=0.7511521218785475941647875   (0.2s)
  t1=0.0  rot/2pi=1.0  closure=2.88e-60  sym=3.34e-60  S(k406a)=2.86011639  Abar_1=2.58758585  Abar*_1=1.94623054  Abar''_1=2.381726756  Abar''*_1=1.677332598  ctrl_M=-0.00316076  gen_pair=1.56e-61
  t1=0.3  rot/2pi=1.0  closure=1.51e-60  sym=1.11e-60  S(k406a)=2.860230351  Abar_1=2.587586416  Abar*_1=1.946230966  Abar''_1=2.381721289  Abar''*_1=1.67733223  ctrl_M=-0.00316076  gen_pair=1.56e-61
  t1=0.77  rot/2pi=1.0  closure=4.52e-60  sym=3.48e-60  S(k406a)=2.860199827  Abar_1=2.587586265  Abar*_1=1.946230852  Abar''_1=2.381722753  Abar''*_1=1.677332329  ctrl_M=-0.00316076  gen_pair=4.67e-61
  t1=1.2  rot/2pi=1.0  closure=4.26e-60  sym=2.88e-60  S(k406a)=2.8601173  Abar_1=2.587585855  Abar*_1=1.946230543  Abar''_1=2.381726712  Abar''*_1=1.677332595  ctrl_M=-0.00316076  gen_pair=-1.56e-61
  t1=1.9  rot/2pi=1.0  closure=8.02e-60  sym=5.51e-60  S(k406a)=2.860117542  Abar_1=2.587585856  Abar*_1=1.946230544  Abar''_1=2.3817267  Abar''*_1=1.677332594  ctrl_M=-0.00316076  gen_pair=-1.4e-60
  t1=2.6  rot/2pi=1.0  closure=3.07e-60  sym=3.26e-60  S(k406a)=2.860118985  Abar_1=2.587585863  Abar*_1=1.946230549  Abar''_1=2.381726631  Abar''*_1=1.67733259  ctrl_M=-0.00316076  gen_pair=0.0
  t1=3.5  rot/2pi=1.0  closure=3.8e-60  sym=3.44e-60  S(k406a)=2.860211133  Abar_1=2.587586321  Abar*_1=1.946230894  Abar''_1=2.381722211  Abar''*_1=1.677332292  ctrl_M=-0.00316076  gen_pair=1.56e-61
  t1=4.4  rot/2pi=1.0  closure=2.4e-60  sym=2.15e-60  S(k406a)=2.860119937  Abar_1=2.587585868  Abar*_1=1.946230553  Abar''_1=2.381726585  Abar''*_1=1.677332587  ctrl_M=-0.00316076  gen_pair=0.0
  t1=5.3  rot/2pi=1.0  closure=2.09e-60  sym=2.91e-60  S(k406a)=2.860207581  Abar_1=2.587586303  Abar*_1=1.946230881  Abar''_1=2.381722381  Abar''*_1=1.677332304  ctrl_M=-0.00316076  gen_pair=1.56e-61
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   7.3683e-61   PASS
    k406a_C2   6.2206e-61   PASS
    k607       6.223e-61   PASS
    k607_diff  1.089e-60   PASS
    k609       1.089e-60   PASS
    k609_diff  2.4892e-60   PASS
    k610       4.6673e-61   PASS
    k610_diff  7.7788e-61   PASS
    k905       2.1781e-60   PASS
    k905_diff  1.8669e-59   PASS
    k906       2.4892e-60   PASS
    k906_diff  1.4935e-59   PASS
    k907b      7.7788e-61   PASS
    k907b_diff 9.3345e-61   PASS
    k907b_pt   1.2446e-60   PASS
    k604b      7.7788e-61   PASS
    k605b      6.223e-61   PASS
    k903b      1.6335e-60   PASS
    k904b      2.6448e-60   PASS
  checks: closure=8.02e-60  central-symmetry=5.51e-60  P' on E'=2.72e-60  polar/dual circle geometry=4.51e-60  min|sin(angle of consecutive antipedal lines)|=0.266403  E' foci on x-axis
====================================================================================================
EVEN  a=1.0 b=0.8 N=12 tau=1   caustic a''=0.9730434305869987609830981  b''=0.7660375433413922931016885   (0.2s)
  t1=0.0  rot/2pi=1.0  closure=4.98e-60  sym=5.06e-60  S(k406a)=2.727878862  Abar_1=2.748235104  Abar*_1=1.90167427  Abar''_1=2.597087115  Abar''*_1=1.715094018  ctrl_M=-0.00317642  gen_pair=1.56e-61
  t1=0.3  rot/2pi=1.0  closure=1.81e-60  sym=2.79e-60  S(k406a)=2.727873868  Abar_1=2.748235116  Abar*_1=1.901674262  Abar''_1=2.597086986  Abar''*_1=1.715094026  ctrl_M=-0.00317642  gen_pair=3.11e-61
  t1=0.77  rot/2pi=1.0  closure=8.67e-60  sym=5.28e-60  S(k406a)=2.727873141  Abar_1=2.748235118  Abar*_1=1.90167426  Abar''_1=2.597086967  Abar''*_1=1.715094027  ctrl_M=-0.00317642  gen_pair=-3.11e-61
  t1=1.2  rot/2pi=1.0  closure=4.14e-60  sym=2.79e-60  S(k406a)=2.727873775  Abar_1=2.748235116  Abar*_1=1.901674261  Abar''_1=2.597086983  Abar''*_1=1.715094026  ctrl_M=-0.00317642  gen_pair=-3.11e-61
  t1=1.9  rot/2pi=1.0  closure=1.56e-59  sym=8.83e-60  S(k406a)=2.727872962  Abar_1=2.748235119  Abar*_1=1.90167426  Abar''_1=2.597086962  Abar''*_1=1.715094028  ctrl_M=-0.00317642  gen_pair=-1.24e-60
  t1=2.6  rot/2pi=1.0  closure=5.19e-60  sym=6.0e-60  S(k406a)=2.727877761  Abar_1=2.748235106  Abar*_1=1.901674268  Abar''_1=2.597087087  Abar''*_1=1.71509402  ctrl_M=-0.00317642  gen_pair=-3.89e-61
  t1=3.5  rot/2pi=1.0  closure=1.44e-60  sym=2.38e-60  S(k406a)=2.727876073  Abar_1=2.748235111  Abar*_1=1.901674265  Abar''_1=2.597087043  Abar''*_1=1.715094023  ctrl_M=-0.00317642  gen_pair=-1.56e-61
  t1=4.4  rot/2pi=1.0  closure=2.25e-59  sym=1.14e-59  S(k406a)=2.727872792  Abar_1=2.748235119  Abar*_1=1.90167426  Abar''_1=2.597086958  Abar''*_1=1.715094028  ctrl_M=-0.00317642  gen_pair=1.09e-60
  t1=5.3  rot/2pi=1.0  closure=4.7e-60  sym=3.97e-60  S(k406a)=2.727878835  Abar_1=2.748235104  Abar*_1=1.90167427  Abar''_1=2.597087114  Abar''*_1=1.715094018  ctrl_M=-0.00317642  gen_pair=6.22e-61
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   2.099e-60   PASS
    k406a_C2   7.4452e-61   PASS
    k607       6.223e-61   PASS
    k607_diff  1.2446e-60   PASS
    k609       9.3345e-61   PASS
    k609_diff  2.4892e-60   PASS
    k610       4.6673e-61   PASS
    k610_diff  9.3345e-61   PASS
    k905       2.1781e-60   PASS
    k905_diff  1.8669e-59   PASS
    k906       2.8004e-60   PASS
    k906_diff  1.8669e-59   PASS
    k907b      6.223e-61   PASS
    k907b_diff 7.7788e-61   PASS
    k907b_pt   1.5558e-60   PASS
    k604b      9.3345e-61   PASS
    k605b      7.7788e-61   PASS
    k903b      1.7113e-60   PASS
    k904b      2.6448e-60   PASS
  checks: closure=2.25e-59  central-symmetry=1.14e-59  P' on E'=5.37e-60  polar/dual circle geometry=7.47e-60  min|sin(angle of consecutive antipedal lines)|=0.225483  E' foci on x-axis
====================================================================================================
EVEN  a=1.7 b=0.3 N=4 tau=1   caustic a''=1.674132049990492574201864  b''=0.05213560017271430161874318   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=4.67e-61  sym=1.01e-59  S(k406a)=34.82509804  Abar_1=0.05975001126  Abar*_1=2.04  Abar''_1=0.02987500563  Abar''*_1=-29.75590437  ctrl_M=5.44514e-60  gen_pair=6.46e-59
  t1=0.3  rot/2pi=1.0  closure=1.03e-60  sym=1.19e-59  S(k406a)=13.57228107  Abar_1=0.1533124748  Abar*_1=0.7950430851  Abar''_1=0.0003999913414  Abar''*_1=-76.40909296  ctrl_M=8.50997e-59  gen_pair=4.51e-60
  t1=0.77  rot/2pi=1.0  closure=7.9e-61  sym=2.69e-60  S(k406a)=25.03301333  Abar_1=0.08312223432  Abar*_1=1.46639493  Abar''_1=0.001261921365  Abar''*_1=-41.39699622  ctrl_M=1.11703e-58  gen_pair=3.86e-59
  t1=1.2  rot/2pi=1.0  closure=2.25e-59  sym=5.38e-60  S(k406a)=32.60874667  Abar_1=0.06381110017  Abar*_1=1.910169589  Abar''_1=0.005502013009  Abar''*_1=-31.77851527  ctrl_M=3.57823e-60  gen_pair=-8.01e-60
  t1=1.9  rot/2pi=1.0  closure=2.77e-59  sym=5.84e-60  S(k406a)=33.07290358  Abar_1=0.06291555246  Abar*_1=1.937359178  Abar''_1=0.006673932864  Abar''*_1=-31.33248772  ctrl_M=3.96717e-59  gen_pair=-1.34e-58
  t1=2.6  rot/2pi=1.0  closure=3.06e-60  sym=3.43e-60  S(k406a)=19.47105785  Abar_1=0.1068663046  Abar*_1=1.140584241  Abar''_1=0.0007023595038  Abar''*_1=-53.22599769  ctrl_M=7.93434e-60  gen_pair=1.09e-60
  t1=3.5  rot/2pi=1.0  closure=1.26e-60  sym=4.54e-60  S(k406a)=14.87601438  Abar_1=0.1398761756  Abar*_1=0.8714137519  Abar''_1=0.000454230053  Abar''*_1=-69.68659711  ctrl_M=6.42526e-59  gen_pair=2.18e-60
  t1=4.4  rot/2pi=1.0  closure=6.09e-59  sym=1.73e-59  S(k406a)=33.24560048  Abar_1=0.06258873264  Abar*_1=1.947475493  Abar''_1=0.007241952712  Abar''*_1=-31.16971557  ctrl_M=1.2446e-58  gen_pair=-1.24e-59
  t1=5.3  rot/2pi=1.0  closure=9.34e-61  sym=1.11e-59  S(k406a)=29.37795486  Abar_1=0.07082861997  Abar*_1=1.720914837  Abar''_1=0.002387242232  Abar''*_1=-35.27366149  ctrl_M=2.2714e-59  gen_pair=-1.27e-59
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   1.2229e-59   PASS
    k406a_C2   1.455e-59   PASS
    k607       3.138e-58   PASS
    k607_diff  6.111e-58   PASS
    k609       1.3862e-58   PASS
    k609_diff  7.4628e-61   PASS
    k610       9.8012e-60   PASS
    k610_diff  3.4351e-58   PASS
    k905       4.7217e-59   PASS
    k905_diff  2.4613e-56   PASS
    k906       1.5558e-61   PASS
    k906_diff  7.7788e-62   PASS
    k907b      3.3604e-59   PASS
    k907b_diff 7.7788e-62   PASS
    k907b_pt   5.5229e-59   PASS
    k604b      3.2982e-59   PASS
    k605b      1.1513e-59   PASS
    k903b      1.0035e-58   PASS
    k904b      2.6837e-59   PASS
  checks: closure=6.09e-59  central-symmetry=1.73e-59  P' on E'=8.68e-59  polar/dual circle geometry=1.45e-55  min|sin(angle of consecutive antipedal lines)|=0.00545478  E' foci on y-axis
====================================================================================================
EVEN  a=1.7 b=0.3 N=6 tau=1   caustic a''=1.68076619432924102348158  b''=0.1580348062927910827260211   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=3.4e-61  sym=4.44e-60  S(k406a)=3.849748615  Abar_1=1.56312622  Abar*_1=-13.13444835  Abar''_1=0.9726285704  Abar''*_1=-32.41549014  ctrl_M=-0.000147642  gen_pair=-1.79e-59
  t1=0.3  rot/2pi=1.0  closure=2.59e-60  sym=1.43e-59  S(k406a)=12.81590728  Abar_1=1.68576789  Abar*_1=-14.16496697  Abar''_1=0.5285955843  Abar''*_1=-30.06568267  ctrl_M=-0.000147642  gen_pair=-1.16e-58
  t1=0.77  rot/2pi=1.0  closure=1.15e-59  sym=2.69e-59  S(k406a)=7.15554269  Abar_1=1.607340815  Abar*_1=-13.50596941  Abar''_1=0.742867383  Abar''*_1=-31.52574023  ctrl_M=-0.000147642  gen_pair=-6.68e-59
  t1=1.2  rot/2pi=1.0  closure=3.27e-59  sym=1.02e-59  S(k406a)=18.33728084  Abar_1=1.765542989  Abar*_1=-14.83529154  Abar''_1=0.4122859138  Abar''*_1=-28.7387633  ctrl_M=-0.000147642  gen_pair=-2.12e-59
  t1=1.9  rot/2pi=1.0  closure=2.52e-59  sym=1.05e-59  S(k406a)=19.13831981  Abar_1=1.777382059  Abar*_1=-14.93477145  Abar''_1=0.3995133737  Abar''*_1=-28.56688279  ctrl_M=-0.000147642  gen_pair=4.45e-59
  t1=2.6  rot/2pi=1.0  closure=6.63e-60  sym=1.01e-59  S(k406a)=3.867819275  Abar_1=1.563364714  Abar*_1=-13.13645234  Abar''_1=0.9709882463  Abar''*_1=-32.41055386  ctrl_M=-0.000147642  gen_pair=9.91e-59
  t1=3.5  rot/2pi=1.0  closure=4.19e-60  sym=6.68e-60  S(k406a)=8.949284882  Abar_1=1.631823311  Abar*_1=-13.71168797  Abar''_1=0.6583736954  Abar''*_1=-31.05422629  ctrl_M=-0.000147642  gen_pair=3.27e-58
  t1=4.4  rot/2pi=1.0  closure=7.75e-59  sym=2.46e-59  S(k406a)=19.43840758  Abar_1=1.781834421  Abar*_1=-14.97218322  Abar''_1=0.394928748  Abar''*_1=-28.50777064  ctrl_M=-0.000147642  gen_pair=-3.1e-59
  t1=5.3  rot/2pi=1.0  closure=1.11e-59  sym=9.43e-60  S(k406a)=13.04209044  Abar_1=1.688972707  Abar*_1=-14.19189602  Abar''_1=0.5225641083  Abar''*_1=-30.00909161  ctrl_M=-0.000147642  gen_pair=9.51e-59
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   2.594e-59   PASS
    k406a_C2   4.9002e-59   PASS
    k607       8.7122e-60   PASS
    k607_diff  1.3068e-58   PASS
    k609       3.5549e-59   PASS
    k609_diff  1.6958e-59   PASS
    k610       8.8678e-60   PASS
    k610_diff  2.7879e-58   PASS
    k905       6.1374e-58   PASS
    k905_diff  1.7952e-56   PASS
    k906       2.5592e-59   PASS
    k906_diff  1.0156e-57   PASS
    k907b      6.9153e-59   PASS
    k907b_diff 2.5281e-61   PASS
    k907b_pt   4.1694e-59   PASS
    k604b      3.1737e-59   PASS
    k605b      1.4313e-59   PASS
    k903b      5.134e-59   PASS
    k904b      3.8505e-59   PASS
  checks: closure=7.75e-59  central-symmetry=2.69e-59  P' on E'=1.35e-59  polar/dual circle geometry=2.84e-57  min|sin(angle of consecutive antipedal lines)|=0.014215  E' foci on x-axis
====================================================================================================
EVEN  a=1.7 b=0.3 N=8 tau=1   caustic a''=1.686986848833783808104285  b''=0.2143003223005969755365271   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=2.02e-60  sym=3.66e-59  S(k406a)=11.30568211  Abar_1=3.67165001  Abar*_1=-18.32453557  Abar''_1=2.813996613  Abar''*_1=-26.06651703  ctrl_M=-0.000153954  gen_pair=-2.53e-58
  t1=0.3  rot/2pi=1.0  closure=1.14e-59  sym=6.52e-59  S(k406a)=10.85710005  Abar_1=3.676530918  Abar*_1=-18.30020819  Abar''_1=2.77980688  Abar''*_1=-26.10565913  ctrl_M=-0.000153954  gen_pair=-1.18e-57
  t1=0.77  rot/2pi=1.0  closure=6.26e-59  sym=6.75e-59  S(k406a)=2.564674856  Abar_1=3.767965666  Abar*_1=-17.85612906  Abar''_1=2.269206651  Abar''*_1=-26.76910764  ctrl_M=-0.000153954  gen_pair=6.35e-59
  t1=1.2  rot/2pi=1.0  closure=3.72e-59  sym=3.66e-59  S(k406a)=7.755560358  Abar_1=3.710461266  Abar*_1=-18.13286176  Abar''_1=2.564236693  Abar''*_1=-26.35694002  ctrl_M=-0.000153954  gen_pair=1.12e-58
  t1=1.9  rot/2pi=1.0  closure=1.42e-58  sym=6.91e-59  S(k406a)=8.434007163  Abar_1=3.703011796  Abar*_1=-18.16934023  Abar''_1=2.608508284  Abar''*_1=-26.30294757  ctrl_M=-0.000153954  gen_pair=-2.8e-58
  t1=2.6  rot/2pi=1.0  closure=4.65e-59  sym=8.07e-59  S(k406a)=6.541206036  Abar_1=3.723833379  Abar*_1=-18.06774749  Abar''_1=2.488607231  Abar''*_1=-26.45330155  ctrl_M=-0.000153954  gen_pair=-2.29e-58
  t1=3.5  rot/2pi=1.0  closure=1.22e-59  sym=2.68e-59  S(k406a)=11.24943382  Abar_1=3.672261666  Abar*_1=-18.32148341  Abar''_1=2.809663827  Abar''*_1=-26.07154387  ctrl_M=-0.000153954  gen_pair=1.43e-58
  t1=4.4  rot/2pi=1.0  closure=8.99e-59  sym=4.46e-59  S(k406a)=8.695535606  Abar_1=3.700144259  Abar*_1=-18.1834211  Abar''_1=2.625981641  Abar''*_1=-26.28207543  ctrl_M=-0.000153954  gen_pair=-1.17e-58
  t1=5.3  rot/2pi=1.0  closure=8.94e-59  sym=5.99e-59  S(k406a)=4.102933748  Abar_1=3.750831284  Abar*_1=-17.93769864  Abar''_1=2.349370672  Abar''*_1=-26.64673384  ctrl_M=-0.000153954  gen_pair=1.8e-58
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   3.1604e-59   PASS
    k406a_C2   1.6451e-58   PASS
    k607       2.4736e-59   PASS
    k607_diff  4.5055e-58   PASS
    k609       4.3017e-59   PASS
    k609_diff  1.1948e-58   PASS
    k610       2.0847e-59   PASS
    k610_diff  5.5758e-58   PASS
    k905       5.3658e-58   PASS
    k905_diff  5.9691e-56   PASS
    k906       6.7831e-59   PASS
    k906_diff  9.5785e-57   PASS
    k907b      4.5195e-59   PASS
    k907b_diff 2.1392e-61   PASS
    k907b_pt   4.3406e-59   PASS
    k604b      4.6284e-59   PASS
    k605b      2.7226e-59   PASS
    k903b      1.0719e-58   PASS
    k904b      8.4944e-59   PASS
  checks: closure=1.42e-58  central-symmetry=8.07e-59  P' on E'=6.25e-59  polar/dual circle geometry=3.29e-57  min|sin(angle of consecutive antipedal lines)|=0.0158113  E' foci on x-axis
====================================================================================================
EVEN  a=1.7 b=0.3 N=10 tau=1   caustic a''=1.690950917478612240068047  b''=0.2435467210244484110493269   (0.2s)
  t1=0.0  rot/2pi=1.0  closure=5.58e-60  sym=1.35e-58  S(k406a)=1.495182203  Abar_1=5.196165926  Abar*_1=-19.88063372  Abar''_1=4.507403177  Abar''*_1=-25.21166982  ctrl_M=-0.0001551  gen_pair=-2.2e-58
  t1=0.3  rot/2pi=1.0  closure=1.43e-59  sym=6.73e-59  S(k406a)=1.959245293  Abar_1=5.199309945  Abar*_1=-19.8926628  Abar''_1=4.481445686  Abar''*_1=-25.19642993  ctrl_M=-0.0001551  gen_pair=-2.2e-58
  t1=0.77  rot/2pi=1.0  closure=1.02e-58  sym=9.69e-59  S(k406a)=2.481288729  Abar_1=5.202849048  Abar*_1=-19.90620347  Abar''_1=4.452598196  Abar''*_1=-25.17929681  ctrl_M=-0.0001551  gen_pair=1.56e-61
  t1=1.2  rot/2pi=1.0  closure=1.03e-58  sym=6.74e-59  S(k406a)=2.919607699  Abar_1=5.205822409  Abar*_1=-19.91757961  Abar''_1=4.42866097  Abar''*_1=-25.16492037  ctrl_M=-0.0001551  gen_pair=-5.36e-58
  t1=1.9  rot/2pi=1.0  closure=9.14e-59  sym=5.68e-59  S(k406a)=3.293849426  Abar_1=5.208362439  Abar*_1=-19.92729782  Abar''_1=4.408424757  Abar''*_1=-25.15265202  ctrl_M=-0.0001551  gen_pair=2.61e-58
  t1=2.6  rot/2pi=1.0  closure=4.18e-59  sym=8.23e-59  S(k406a)=5.040513004  Abar_1=5.220233603  Abar*_1=-19.97271713  Abar''_1=4.31636008  Abar''*_1=-25.09547143  ctrl_M=-0.0001551  gen_pair=1.45e-57
  t1=3.5  rot/2pi=1.0  closure=2.18e-59  sym=8.16e-59  S(k406a)=3.209780175  Abar_1=5.207791742  Abar*_1=-19.92511432  Abar''_1=4.412954564  Abar''*_1=-25.15540745  ctrl_M=-0.0001551  gen_pair=1.34e-57
  t1=4.4  rot/2pi=1.0  closure=1.7e-58  sym=8.79e-59  S(k406a)=3.444711603  Abar_1=5.20938671  Abar*_1=-19.9312167  Abar''_1=4.400319172  Abar''*_1=-25.14770814  ctrl_M=-0.0001551  gen_pair=-9.71e-56
  t1=5.3  rot/2pi=1.0  closure=1.33e-58  sym=1.13e-58  S(k406a)=1.533012703  Abar_1=5.196422156  Abar*_1=-19.88161406  Abar''_1=4.505275926  Abar''*_1=-25.21042712  ctrl_M=-0.0001551  gen_pair=-3.91e-58
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   4.7154e-59   PASS
    k406a_C2   4.0608e-58   PASS
    k607       1.8202e-59   PASS
    k607_diff  3.6342e-58   PASS
    k609       6.3786e-59   PASS
    k609_diff  2.875e-58   PASS
    k610       2.2714e-59   PASS
    k610_diff  5.7252e-58   PASS
    k905       4.0061e-58   PASS
    k905_diff  2.3952e-55   PASS
    k906       1.4679e-58   PASS
    k906_diff  4.154e-56   PASS
    k907b      5.0951e-59   PASS
    k907b_diff 2.9292e-61   PASS
    k907b_pt   8.4011e-59   PASS
    k604b      6.3786e-59   PASS
    k605b      4.465e-59   PASS
    k903b      1.6016e-58   PASS
    k904b      1.6514e-58   PASS
  checks: closure=1.7e-58  central-symmetry=1.35e-58  P' on E'=6.04e-59  polar/dual circle geometry=3.63e-57  min|sin(angle of consecutive antipedal lines)|=0.014958  E' foci on x-axis
====================================================================================================
EVEN  a=1.7 b=0.3 N=12 tau=1   caustic a''=1.693432407480459102049416  b''=0.2602178293373912465740556   (0.2s)
  t1=0.0  rot/2pi=1.0  closure=1.5e-60  sym=6.85e-60  S(k406a)=1.803986  Abar_1=6.204957542  Abar*_1=-20.95574279  Abar''_1=5.739872516  Abar''*_1=-24.52821442  ctrl_M=-0.000155433  gen_pair=-1.56e-59
  t1=0.3  rot/2pi=1.0  closure=7.39e-60  sym=2.94e-59  S(k406a)=0.8633637429  Abar_1=6.208788923  Abar*_1=-20.94281121  Abar''_1=5.704501088  Abar''*_1=-24.54336069  ctrl_M=-0.000155433  gen_pair=-1.24e-59
  t1=0.77  rot/2pi=1.0  closure=4.43e-59  sym=2.93e-59  S(k406a)=1.432500161  Abar_1=6.20647041  Abar*_1=-20.95063468  Abar''_1=5.725851037  Abar''*_1=-24.53419511  ctrl_M=-0.000155433  gen_pair=-8.24e-58
  t1=1.2  rot/2pi=1.0  closure=1.71e-58  sym=8.47e-59  S(k406a)=0.7322596019  Abar_1=6.20932313  Abar*_1=-20.94100943  Abar''_1=5.699605423  Abar''*_1=-24.54547252  ctrl_M=-0.000155433  gen_pair=2.22e-58
  t1=1.9  rot/2pi=1.0  closure=8.24e-59  sym=5.87e-59  S(k406a)=0.8848524878  Abar_1=6.208701368  Abar*_1=-20.94310654  Abar''_1=5.705304314  Abar''*_1=-24.54301456  ctrl_M=-0.000155433  gen_pair=1.4e-57
  t1=2.6  rot/2pi=1.0  closure=4.46e-59  sym=8.51e-59  S(k406a)=1.472152227  Abar_1=6.206308911  Abar*_1=-20.95117986  Abar''_1=5.727344427  Abar''*_1=-24.53355667  ctrl_M=-0.000155433  gen_pair=1.91e-57
  t1=3.5  rot/2pi=1.0  closure=8.45e-60  sym=1.55e-59  S(k406a)=0.4616101417  Abar_1=6.210426084  Abar*_1=-20.93729037  Abar''_1=5.689525283  Abar''*_1=-24.54983273  ctrl_M=-0.000155433  gen_pair=2.66e-58
  t1=4.4  rot/2pi=1.0  closure=8.24e-59  sym=7.02e-59  S(k406a)=0.9508439167  Abar_1=6.208432496  Abar*_1=-20.94401354  Abar''_1=5.707772412  Abar''*_1=-24.54195165  ctrl_M=-0.000155433  gen_pair=-9.15e-59
  t1=5.3  rot/2pi=1.0  closure=4.0e-59  sym=5.39e-59  S(k406a)=0.5119597743  Abar_1=6.210220884  Abar*_1=-20.93798219  Abar''_1=5.691397831  Abar''*_1=-24.54902153  ctrl_M=-0.000155433  gen_pair=6.67e-58
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   3.8798e-59   PASS
    k406a_C2   6.2869e-58   PASS
    k607       7.7788e-60   PASS
    k607_diff  1.618e-58   PASS
    k609       1.0112e-59   PASS
    k609_diff  5.7874e-59   PASS
    k610       1.4391e-59   PASS
    k610_diff  3.5347e-58   PASS
    k905       5.2429e-59   PASS
    k905_diff  4.6917e-56   PASS
    k906       3.3293e-59   PASS
    k906_diff  1.4696e-56   PASS
    k907b      2.6603e-59   PASS
    k907b_diff 1.7138e-61   PASS
    k907b_pt   4.6206e-59   PASS
    k604b      8.8678e-60   PASS
    k605b      6.7675e-60   PASS
    k903b      2.9404e-59   PASS
    k904b      3.2982e-59   PASS
  checks: closure=1.71e-58  central-symmetry=8.51e-59  P' on E'=2.54e-59  polar/dual circle geometry=8.26e-58  min|sin(angle of consecutive antipedal lines)|=0.0136005  E' foci on x-axis
====================================================================================================
EVEN  a=1.0 b=0.65 N=4 tau=1   caustic a''=0.8384436163006371070842078  b''=0.3542424278870191777430778   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=2.33e-61  sym=6.22e-61  S(k406a)=6.226173077  Abar_1=0.5428695859  Abar*_1=2.6  Abar''_1=0.2714347929  Abar''*_1=-0.1852737716  ctrl_M=6.22302e-61  gen_pair=1.56e-60
  t1=0.3  rot/2pi=1.0  closure=5.1e-61  sym=9.07e-61  S(k406a)=5.886210341  Abar_1=0.5742234484  Abar*_1=2.458034285  Abar''_1=0.1829665872  Abar''*_1=-0.8968551405  ctrl_M=2.02248e-60  gen_pair=4.51e-60
  t1=0.77  rot/2pi=1.0  closure=7.43e-61  sym=6.41e-61  S(k406a)=5.758917818  Abar_1=0.5869158246  Abar*_1=2.404877947  Abar''_1=0.1622472798  Abar''*_1=5.196826297  ctrl_M=3.11151e-61  gen_pair=0.0
  t1=1.2  rot/2pi=1.0  closure=1.57e-60  sym=6.08e-61  S(k406a)=6.091985217  Abar_1=0.5548273477  Abar*_1=2.543964225  Abar''_1=0.2286413047  Abar''*_1=-0.281102629  ctrl_M=0.0  gen_pair=-2.33e-61
  t1=1.9  rot/2pi=1.0  closure=1.97e-60  sym=9.1e-61  S(k406a)=6.118952294  Abar_1=0.5523821461  Abar*_1=2.55522546  Abar''_1=0.2361988175  Abar''*_1=-0.2557190555  ctrl_M=-2.80036e-60  gen_pair=5.13e-60
  t1=2.6  rot/2pi=1.0  closure=7.78e-62  sym=3.19e-61  S(k406a)=5.692798895  Abar_1=0.5937325492  Abar*_1=2.377267215  Abar''_1=0.1530632755  Abar''*_1=1.225323811  ctrl_M=3.11151e-61  gen_pair=-1.63e-60
  t1=3.5  rot/2pi=1.0  closure=6.65e-61  sym=1.02e-60  S(k406a)=5.811668899  Abar_1=0.5815885348  Abar*_1=2.426906376  Abar''_1=0.1702996878  Abar''*_1=-3.013535879  ctrl_M=-2.48921e-60  gen_pair=7.78e-61
  t1=4.4  rot/2pi=1.0  closure=2.53e-60  sym=9.62e-61  S(k406a)=6.129144736  Abar_1=0.5514635639  Abar*_1=2.559481742  Abar''_1=0.2391765747  Abar''*_1=-0.2471496498  ctrl_M=-1.08903e-60  gen_pair=3.11e-61
  t1=5.3  rot/2pi=1.0  closure=7.78e-62  sym=3.48e-61  S(k406a)=5.923134091  Abar_1=0.570643843  Abar*_1=2.473453347  Abar''_1=0.1898851518  Abar''*_1=-0.6569909179  ctrl_M=-6.22302e-61  gen_pair=-1.87e-60
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   4.8354e-61   PASS
    k406a_C2   5.6166e-61   PASS
    k607       1.4002e-60   PASS
    k607_diff  3.7338e-60   PASS
    k609       2.6448e-60   PASS
    k609_diff  6.0285e-61   PASS
    k610       3.8272e-59   PASS
    k610_diff  1.1513e-58   PASS
    k905       2.1781e-59   PASS
    k905_diff  3.0493e-59   PASS
    k906       0.0   PASS
    k906_diff  0.0   PASS
    k907b      1.5558e-60   PASS
    k907b_diff 3.6949e-61   PASS
    k907b_pt   1.089e-60   PASS
    k604b      1.2446e-60   PASS
    k605b      8.5566e-61   PASS
    k903b      2.8004e-60   PASS
    k904b      1.8669e-60   PASS
  checks: closure=2.53e-60  central-symmetry=1.02e-60  P' on E'=9.33e-61  polar/dual circle geometry=3.67e-59  min|sin(angle of consecutive antipedal lines)|=0.0496289  E' foci on y-axis
====================================================================================================
EVEN  a=1.0 b=0.65 N=6 tau=1   caustic a''=0.9191364174607940065765849  b''=0.5170220052402634376406841   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=2.64e-60  sym=4.09e-60  S(k406a)=3.177519311  Abar_1=1.616512021  Abar*_1=1.211483515  Abar''_1=1.252207985  Abar''*_1=0.4356394742  ctrl_M=-0.0019304  gen_pair=-1.4e-60
  t1=0.3  rot/2pi=1.0  closure=1.65e-60  sym=2.26e-60  S(k406a)=3.31584651  Abar_1=1.620575639  Abar*_1=1.214528965  Abar''_1=1.224919287  Abar''*_1=0.4333190756  ctrl_M=-0.0019304  gen_pair=3.11e-61
  t1=0.77  rot/2pi=1.0  closure=2.68e-60  sym=2.63e-60  S(k406a)=3.203231061  Abar_1=1.617266625  Abar*_1=1.212049048  Abar''_1=1.247044334  Abar''*_1=0.4351980851  ctrl_M=-0.0019304  gen_pair=-5.45e-61
  t1=1.2  rot/2pi=1.0  closure=5.12e-61  sym=1.46e-60  S(k406a)=3.245084368  Abar_1=1.618495671  Abar*_1=1.212970147  Abar''_1=1.238729194  Abar''*_1=0.4344896878  ctrl_M=-0.0019304  gen_pair=-5.45e-61
  t1=1.9  rot/2pi=1.0  closure=5.81e-60  sym=2.93e-60  S(k406a)=3.261031948  Abar_1=1.618964211  Abar*_1=1.213321292  Abar''_1=1.235589846  Abar''*_1=0.4342229569  ctrl_M=-0.0019304  gen_pair=6.69e-60
  t1=2.6  rot/2pi=1.0  closure=2.59e-60  sym=2.43e-60  S(k406a)=3.306025349  Abar_1=1.620286808  Abar*_1=1.214312502  Abar''_1=1.226817607  Abar''*_1=0.4334795837  ctrl_M=-0.0019304  gen_pair=1.56e-61
  t1=3.5  rot/2pi=1.0  closure=2.23e-60  sym=2.88e-60  S(k406a)=3.333747815  Abar_1=1.621102225  Abar*_1=1.214923611  Abar''_1=1.221474189  Abar''*_1=0.4330280912  ctrl_M=-0.0019304  gen_pair=-1.09e-60
  t1=4.4  rot/2pi=1.0  closure=2.47e-60  sym=1.11e-60  S(k406a)=3.26743578  Abar_1=1.619152392  Abar*_1=1.213462323  Abar''_1=1.234333683  Abar''*_1=0.4341163345  ctrl_M=-0.0019304  gen_pair=0.0
  t1=5.3  rot/2pi=1.0  closure=4.91e-60  sym=3.04e-60  S(k406a)=3.181917004  Abar_1=1.616641064  Abar*_1=1.211580225  Abar''_1=1.251321783  Abar''*_1=0.4355636377  ctrl_M=-0.0019304  gen_pair=-5.52e-60
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   6.2395e-61   PASS
    k406a_C2   1.0656e-60   PASS
    k607       1.9447e-60   PASS
    k607_diff  2.3336e-60   PASS
    k609       3.1115e-60   PASS
    k609_diff  3.8894e-60   PASS
    k610       7.6232e-60   PASS
    k610_diff  3.306e-60   PASS
    k905       1.3691e-59   PASS
    k905_diff  1.7051e-58   PASS
    k906       4.745e-60   PASS
    k906_diff  2.4892e-59   PASS
    k907b      2.4892e-60   PASS
    k907b_diff 9.3345e-61   PASS
    k907b_pt   2.6448e-60   PASS
    k604b      2.8004e-60   PASS
    k605b      1.8669e-60   PASS
    k903b      6.223e-60   PASS
    k904b      5.4451e-60   PASS
  checks: closure=5.81e-60  central-symmetry=4.09e-60  P' on E'=3.89e-60  polar/dual circle geometry=2.61e-59  min|sin(angle of consecutive antipedal lines)|=0.249817  E' foci on x-axis
====================================================================================================
EVEN  a=1.0 b=0.65 N=8 tau=1   caustic a''=0.9529319126790671875275333  b''=0.5749601987983040650389443   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=7.0e-61  sym=1.1e-60  S(k406a)=2.589438053  Abar_1=2.195525913  Abar*_1=0.9382224664  Abar''_1=1.938670523  Abar''*_1=0.5025139375  ctrl_M=-0.00206347  gen_pair=-2.33e-61
  t1=0.3  rot/2pi=1.0  closure=1.21e-60  sym=1.21e-60  S(k406a)=2.567061461  Abar_1=2.195799114  Abar*_1=0.938105733  Abar''_1=1.936295779  Abar''*_1=0.5025724274  ctrl_M=-0.00206347  gen_pair=3.11e-61
  t1=0.77  rot/2pi=1.0  closure=5.83e-61  sym=6.79e-61  S(k406a)=2.585485686  Abar_1=2.195574166  Abar*_1=0.9382018468  Abar''_1=1.938250652  Abar''*_1=0.5025242669  ctrl_M=-0.00206347  gen_pair=3.11e-61
  t1=1.2  rot/2pi=1.0  closure=3.98e-60  sym=2.55e-60  S(k406a)=2.57015785  Abar_1=2.195761307  Abar*_1=0.9381218853  Abar''_1=1.936624043  Abar''*_1=0.5025643325  ctrl_M=-0.00206347  gen_pair=0.0
  t1=1.9  rot/2pi=1.0  closure=7.82e-61  sym=1.58e-60  S(k406a)=2.572551676  Abar_1=2.195732079  Abar*_1=0.9381343728  Abar''_1=1.9368779  Abar''*_1=0.5025580746  ctrl_M=-0.00206347  gen_pair=4.67e-61
  t1=2.6  rot/2pi=1.0  closure=7.78e-62  sym=3.11e-61  S(k406a)=2.584323641  Abar_1=2.195588353  Abar*_1=0.9381957845  Abar''_1=1.938127239  Abar''*_1=0.5025273041  ctrl_M=-0.00206347  gen_pair=4.67e-61
  t1=3.5  rot/2pi=1.0  closure=1.88e-60  sym=1.37e-60  S(k406a)=2.568313266  Abar_1=2.195783829  Abar*_1=0.938112263  Abar''_1=1.936428476  Abar''*_1=0.5025691547  ctrl_M=-0.00206347  gen_pair=-4.67e-61
  t1=4.4  rot/2pi=1.0  closure=7.22e-60  sym=4.11e-60  S(k406a)=2.573643065  Abar_1=2.195718754  Abar*_1=0.9381400662  Abar''_1=1.93699366  Abar''*_1=0.5025552215  ctrl_M=-0.00206347  gen_pair=4.67e-61
  t1=5.3  rot/2pi=1.0  closure=1.58e-60  sym=2.18e-60  S(k406a)=2.569719163  Abar_1=2.195766663  Abar*_1=0.9381195968  Abar''_1=1.936577528  Abar''*_1=0.5025654793  ctrl_M=-0.00206347  gen_pair=4.67e-61
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   6.0475e-61   PASS
    k406a_C2   7.7434e-61   PASS
    k607       1.4002e-60   PASS
    k607_diff  1.2446e-60   PASS
    k609       9.3345e-61   PASS
    k609_diff  1.8669e-60   PASS
    k610       2.4892e-60   PASS
    k610_diff  1.2446e-60   PASS
    k905       2.3336e-60   PASS
    k905_diff  3.9827e-59   PASS
    k906       2.1781e-60   PASS
    k906_diff  1.9914e-59   PASS
    k907b      1.2446e-60   PASS
    k907b_diff 5.4451e-61   PASS
    k907b_pt   1.1668e-60   PASS
    k604b      1.089e-60   PASS
    k605b      7.7788e-61   PASS
    k903b      2.4892e-60   PASS
    k904b      2.4892e-60   PASS
  checks: closure=7.22e-60  central-symmetry=4.11e-60  P' on E'=2.1e-60  polar/dual circle geometry=8.4e-60  min|sin(angle of consecutive antipedal lines)|=0.206756  E' foci on x-axis
====================================================================================================
EVEN  a=1.0 b=0.65 N=10 tau=1   caustic a''=0.969427089465237978918333  b''=0.6019043792738531989742649   (0.2s)
  t1=0.0  rot/2pi=1.0  closure=3.97e-60  sym=4.63e-60  S(k406a)=2.295190417  Abar_1=2.507858659  Abar*_1=0.8265191883  Abar''_1=2.330863248  Abar''*_1=0.5490634663  ctrl_M=-0.00209154  gen_pair=1.56e-61
  t1=0.3  rot/2pi=1.0  closure=1.02e-59  sym=1.14e-59  S(k406a)=2.297524077  Abar_1=2.507871936  Abar*_1=0.8265235641  Abar''_1=2.330734604  Abar''*_1=0.5490605388  ctrl_M=-0.00209154  gen_pair=-7.0e-61
  t1=0.77  rot/2pi=1.0  closure=1.69e-59  sym=1.06e-59  S(k406a)=2.297581838  Abar_1=2.507872265  Abar*_1=0.8265236724  Abar''_1=2.33073142  Abar''*_1=0.5490604663  ctrl_M=-0.00209154  gen_pair=-5.45e-61
  t1=1.2  rot/2pi=1.0  closure=2.33e-60  sym=4.03e-60  S(k406a)=2.295202382  Abar_1=2.507858727  Abar*_1=0.8265192108  Abar''_1=2.330862589  Abar''*_1=0.5490634513  ctrl_M=-0.00209154  gen_pair=1.56e-61
  t1=1.9  rot/2pi=1.0  closure=1.76e-59  sym=9.99e-60  S(k406a)=2.295337248  Abar_1=2.507859494  Abar*_1=0.8265194637  Abar''_1=2.330855154  Abar''*_1=0.5490632821  ctrl_M=-0.00209154  gen_pair=-5.76e-60
  t1=2.6  rot/2pi=1.0  closure=4.63e-60  sym=4.35e-60  S(k406a)=2.295232304  Abar_1=2.507858897  Abar*_1=0.8265192669  Abar''_1=2.330860939  Abar''*_1=0.5490634138  ctrl_M=-0.00209154  gen_pair=-4.67e-61
  t1=3.5  rot/2pi=1.0  closure=4.09e-60  sym=5.72e-60  S(k406a)=2.29679077  Abar_1=2.507867764  Abar*_1=0.8265221891  Abar''_1=2.330775027  Abar''*_1=0.5490614587  ctrl_M=-0.00209154  gen_pair=0.0
  t1=4.4  rot/2pi=1.0  closure=2.33e-59  sym=1.34e-59  S(k406a)=2.295430963  Abar_1=2.507860028  Abar*_1=0.8265196394  Abar''_1=2.330849988  Abar''*_1=0.5490631646  ctrl_M=-0.00209154  gen_pair=2.18e-60
  t1=5.3  rot/2pi=1.0  closure=6.58e-60  sym=4.6e-60  S(k406a)=2.296680967  Abar_1=2.507867139  Abar*_1=0.8265219832  Abar''_1=2.330781079  Abar''*_1=0.5490615964  ctrl_M=-0.00209154  gen_pair=1.09e-60
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   2.5864e-60   PASS
    k406a_C2   1.7342e-60   PASS
    k607       4.2005e-60   PASS
    k607_diff  3.4227e-60   PASS
    k609       4.2783e-60   PASS
    k609_diff  9.9568e-60   PASS
    k610       4.9784e-60   PASS
    k610_diff  2.7226e-60   PASS
    k905       9.9568e-60   PASS
    k905_diff  1.9167e-58   PASS
    k906       1.2602e-59   PASS
    k906_diff  1.5806e-58   PASS
    k907b      2.9559e-60   PASS
    k907b_diff 1.4391e-60   PASS
    k907b_pt   5.6007e-60   PASS
    k604b      3.7338e-60   PASS
    k605b      3.1115e-60   PASS
    k903b      1.1201e-59   PASS
    k904b      1.3379e-59   PASS
  checks: closure=2.33e-59  central-symmetry=1.34e-59  P' on E'=7.55e-60  polar/dual circle geometry=3.92e-59  min|sin(angle of consecutive antipedal lines)|=0.172485  E' foci on x-axis
====================================================================================================
EVEN  a=1.0 b=0.65 N=12 tau=1   caustic a''=0.9786026357199891490093334  b''=0.6165736927879016979542795   (0.2s)
  t1=0.0  rot/2pi=1.0  closure=1.72e-60  sym=4.82e-60  S(k406a)=2.151431379  Abar_1=2.690460969  Abar*_1=0.7692133972  Abar''_1=2.563189776  Abar''*_1=0.5770267183  ctrl_M=-0.0021005  gen_pair=-4.67e-61
  t1=0.3  rot/2pi=1.0  closure=3.57e-60  sym=3.92e-60  S(k406a)=2.151271397  Abar_1=2.69046144  Abar*_1=0.7692132625  Abar''_1=2.563184949  Abar''*_1=0.5770268191  ctrl_M=-0.0021005  gen_pair=-3.11e-61
  t1=0.77  rot/2pi=1.0  closure=6.64e-60  sym=5.08e-60  S(k406a)=2.151248835  Abar_1=2.690461506  Abar*_1=0.7692132435  Abar''_1=2.563184269  Abar''*_1=0.5770268333  ctrl_M=-0.0021005  gen_pair=1.56e-61
  t1=1.2  rot/2pi=1.0  closure=2.1e-59  sym=1.04e-59  S(k406a)=2.151182744  Abar_1=2.690461701  Abar*_1=0.7692131879  Abar''_1=2.563182275  Abar''*_1=0.5770268749  ctrl_M=-0.0021005  gen_pair=1.71e-60
  t1=1.9  rot/2pi=1.0  closure=3.1e-60  sym=3.0e-60  S(k406a)=2.151167706  Abar_1=2.690461745  Abar*_1=0.7692131753  Abar''_1=2.563181821  Abar''*_1=0.5770268844  ctrl_M=-0.0021005  gen_pair=3.11e-61
  t1=2.6  rot/2pi=1.0  closure=4.52e-60  sym=3.86e-60  S(k406a)=2.151306106  Abar_1=2.690461338  Abar*_1=0.7692132917  Abar''_1=2.563185997  Abar''*_1=0.5770267972  ctrl_M=-0.0021005  gen_pair=4.67e-61
  t1=3.5  rot/2pi=1.0  closure=3.52e-60  sym=2.8e-60  S(k406a)=2.151375814  Abar_1=2.690461132  Abar*_1=0.7692133504  Abar''_1=2.5631881  Abar''*_1=0.5770267533  ctrl_M=-0.0021005  gen_pair=-7.78e-62
  t1=4.4  rot/2pi=1.0  closure=2.75e-60  sym=2.63e-60  S(k406a)=2.151167989  Abar_1=2.690461744  Abar*_1=0.7692131755  Abar''_1=2.563181829  Abar''*_1=0.5770268842  ctrl_M=-0.0021005  gen_pair=3.11e-61
  t1=5.3  rot/2pi=1.0  closure=5.85e-60  sym=3.4e-60  S(k406a)=2.151420435  Abar_1=2.690461001  Abar*_1=0.7692133879  Abar''_1=2.563189446  Abar''*_1=0.5770267252  ctrl_M=-0.0021005  gen_pair=-4.67e-61
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   1.6527e-60   PASS
    k406a_C2   1.1403e-60   PASS
    k607       2.1781e-60   PASS
    k607_diff  1.6335e-60   PASS
    k609       1.2446e-60   PASS
    k609_diff  3.1115e-60   PASS
    k610       2.8004e-60   PASS
    k610_diff  1.6335e-60   PASS
    k905       2.8004e-60   PASS
    k905_diff  5.7252e-59   PASS
    k906       4.045e-60   PASS
    k906_diff  6.0986e-59   PASS
    k907b      1.089e-60   PASS
    k907b_diff 5.4451e-61   PASS
    k907b_pt   1.5558e-60   PASS
    k604b      1.089e-60   PASS
    k605b      9.3345e-61   PASS
    k903b      2.8781e-60   PASS
    k904b      4.045e-60   PASS
  checks: closure=2.1e-59  central-symmetry=1.04e-59  P' on E'=5.45e-60  polar/dual circle geometry=1.12e-59  min|sin(angle of consecutive antipedal lines)|=0.146923  E' foci on x-axis
====================================================================================================
EVEN-SELFINT  a=1.0 b=0.5 N=8 tau=3   caustic a''=0.8662089773271802624198854  b''=0.01783234146710660982479333   (0.1s)
  t1=0.0  rot/2pi=3.0  closure=8.75e-60  sym=3.43e-57  S(k406a)=814.0711653  Abar_1=0.002383523227  Abar*_1=554.896036  Abar''_1=-0.002141472958  Abar''*_1=-33.94849561  ctrl_M=-0.0136051  gen_pair=4.8e-57
  t1=0.3  rot/2pi=3.0  closure=1.41e-58  sym=2.65e-57  S(k406a)=911.4163878  Abar_1=0.002671579926  Abar*_1=495.0657015  Abar''_1=-8.521753058e-6  Abar''*_1=-38.05347255  ctrl_M=-0.0136051  gen_pair=1.01e-58
  t1=0.77  rot/2pi=3.0  closure=4.68e-58  sym=2.2e-57  S(k406a)=941.1973961  Abar_1=0.002759645312  Abar*_1=479.2672393  Abar''_1=-6.631989903e-6  Abar''*_1=-39.31072763  ctrl_M=-0.0136051  gen_pair=2.83e-56
  t1=1.2  rot/2pi=3.0  closure=7.6e-58  sym=3.0e-57  S(k406a)=843.728559  Abar_1=0.002471318936  Abar*_1=535.1828818  Abar''_1=-2.67017273e-5  Abar''*_1=-35.19928206  ctrl_M=-0.0136051  gen_pair=1.98e-57
  t1=1.9  rot/2pi=3.0  closure=7.77e-58  sym=2.99e-57  S(k406a)=837.480804  Abar_1=0.002452826353  Abar*_1=539.2177839  Abar''_1=-3.359221557e-5  Abar''*_1=-34.93581388  ctrl_M=-0.0136051  gen_pair=5.36e-57
  t1=2.6  rot/2pi=3.0  closure=2.95e-58  sym=9.58e-58  S(k406a)=981.3842281  Abar_1=0.002878444699  Abar*_1=459.4868857  Abar''_1=-5.141886138e-6  Abar''*_1=-41.83313654  ctrl_M=-0.0136051  gen_pair=5.21e-58
  t1=3.5  rot/2pi=3.0  closure=1.75e-58  sym=2.1e-57  S(k406a)=945.3133293  Abar_1=0.002771814624  Abar*_1=477.1630753  Abar''_1=-6.43781552e-6  Abar''*_1=-39.48484682  ctrl_M=-0.0136051  gen_pair=9.05e-59
  t1=4.4  rot/2pi=3.0  closure=7.76e-58  sym=2.95e-57  S(k406a)=835.1598687  Abar_1=0.002445956295  Abar*_1=540.7323071  Abar''_1=-3.717386796e-5  Abar''*_1=-34.8379365  ctrl_M=-0.0136051  gen_pair=-1.13e-57
  t1=5.3  rot/2pi=3.0  closure=6.05e-58  sym=2.8e-57  S(k406a)=887.1407585  Abar_1=0.002599775329  Abar*_1=508.7391881  Abar''_1=-1.119144392e-5  Abar''*_1=-37.02975876  ctrl_M=-0.0136051  gen_pair=-6.19e-58
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   4.5155e-57   PASS
    k406a_C2   1.5215e-56   PASS
    k607       1.0287e-55   PASS
    k607_diff  4.9304e-53   PASS
    k609       1.504e-57   PASS
    k609_diff  9.0823e-61   PASS
    k610       9.9522e-58   PASS
    k610_diff  4.1634e-56   PASS
    k905       7.6714e-58   PASS
    k905_diff  2.1706e-56   PASS
    k906       1.4483e-56   PASS
    k906_diff  7.1852e-58   PASS
    k907b      4.0932e-58   PASS
    k907b_diff 3.0726e-59   PASS
    k907b_pt   4.7225e-57   PASS
    k604b      8.5196e-57   PASS
    k605b      4.1204e-58   PASS
    k903b      2.3801e-57   PASS
    k904b      4.4666e-58   PASS
  checks: closure=7.77e-58  central-symmetry=3.43e-57  P' on E'=4.89e-58  polar/dual circle geometry=2.34e-51  min|sin(angle of consecutive antipedal lines)|=0.00147048  E' foci on y-axis
====================================================================================================
EVEN-SELFINT  a=1.0 b=0.8 N=10 tau=3   caustic a''=0.7051481305775573955972354  b''=0.3704509226024736671011978   (0.2s)
  t1=0.0  rot/2pi=3.0  closure=2.46e-60  sym=4.92e-60  S(k406a)=33.13975909  Abar_1=0.9965569699  Abar*_1=13.84170473  Abar''_1=0.1793833501  Abar''*_1=-1.877434507  ctrl_M=0.0168647  gen_pair=-6.11e-59
  t1=0.3  rot/2pi=3.0  closure=2.23e-60  sym=3.41e-60  S(k406a)=33.1394673  Abar_1=0.9965772875  Abar*_1=13.84198693  Abar''_1=0.1769591304  Abar''*_1=3.789117584  ctrl_M=0.0168647  gen_pair=-1.39e-58
  t1=0.77  rot/2pi=3.0  closure=6.16e-60  sym=6.88e-60  S(k406a)=33.1393917  Abar_1=0.9965825519  Abar*_1=13.84206005  Abar''_1=0.1763416591  Abar''*_1=3.054313443  ctrl_M=0.0168647  gen_pair=4.01e-59
  t1=1.2  rot/2pi=3.0  closure=1.71e-60  sym=1.33e-60  S(k406a)=33.13974864  Abar_1=0.9965576977  Abar*_1=13.84171484  Abar''_1=0.179295368  Abar''*_1=-2.183923543  ctrl_M=0.0168647  gen_pair=2.15e-59
  t1=1.9  rot/2pi=3.0  closure=8.7e-60  sym=6.97e-60  S(k406a)=33.13972011  Abar_1=0.9965596843  Abar*_1=13.84174243  Abar''_1=0.1790556433  Abar''*_1=-3.410848656  ctrl_M=0.0168647  gen_pair=-2.87e-58
  t1=2.6  rot/2pi=3.0  closure=9.18e-61  sym=1.6e-60  S(k406a)=33.13971942  Abar_1=0.9965597324  Abar*_1=13.8417431  Abar''_1=0.1790498504  Abar''*_1=-3.451006822  ctrl_M=0.0168647  gen_pair=-6.39e-59
  t1=3.5  rot/2pi=3.0  closure=4.45e-60  sym=6.54e-60  S(k406a)=33.13959572  Abar_1=0.9965683458  Abar*_1=13.84186273  Abar''_1=0.1780179014  Abar''*_1=11.27310197  ctrl_M=0.0168647  gen_pair=3.66e-58
  t1=4.4  rot/2pi=3.0  closure=4.54e-61  sym=1.64e-60  S(k406a)=33.13970418  Abar_1=0.9965607937  Abar*_1=13.84175784  Abar''_1=0.1789220486  Abar''*_1=-4.546516731  ctrl_M=0.0168647  gen_pair=-2.3e-59
  t1=5.3  rot/2pi=3.0  closure=1.75e-60  sym=2.07e-60  S(k406a)=33.13960222  Abar_1=0.996567893  Abar*_1=13.84185645  Abar''_1=0.1780718505  Abar''*_1=13.14133793  ctrl_M=0.0168647  gen_pair=-9.09e-59
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   1.7468e-60   PASS
    k406a_C2   1.8213e-60   PASS
    k607       3.7338e-60   PASS
    k607_diff  5.1029e-59   PASS
    k609       4.6673e-60   PASS
    k609_diff  8.1677e-61   PASS
    k610       1.1295e-58   PASS
    k610_diff  1.2732e-57   PASS
    k905       1.6724e-59   PASS
    k905_diff  4.6673e-59   PASS
    k906       1.8669e-60   PASS
    k906_diff  2.1781e-60   PASS
    k907b      1.7113e-60   PASS
    k907b_diff 2.6448e-60   PASS
    k907b_pt   1.4002e-60   PASS
    k604b      1.4002e-60   PASS
    k605b      1.478e-60   PASS
    k903b      3.7338e-60   PASS
    k904b      1.7891e-60   PASS
  checks: closure=8.7e-60  central-symmetry=6.97e-60  P' on E'=7.55e-60  polar/dual circle geometry=2.03e-58  min|sin(angle of consecutive antipedal lines)|=0.0348768  E' foci on y-axis
====================================================================================================
ODD-CONTROL  a=1.0 b=0.5 N=3 tau=1   caustic a''=0.8685170918213297643730738  b''=0.06574145408933511781346312   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=2.33e-61  sym=n/a  S(k406a)=17.26235458  Abar_1=0.03032979041  Abar*_1=25.37068612  Abar''_1=-0.003864534702  Abar''*_1=-8.922620698  ctrl_M=-126.156  gen_pair=-0.638
  t1=0.3  rot/2pi=1.0  closure=1.39e-60  sym=n/a  S(k406a)=18.53831773  Abar_1=0.009708967508  Abar*_1=9.366480378  Abar''_1=-2.232455013e-5  Abar''*_1=-0.5379958294  ctrl_M=-0.97028  gen_pair=0.328
  t1=0.77  rot/2pi=1.0  closure=4.56e-60  sym=n/a  S(k406a)=18.0396961  Abar_1=0.009177207976  Abar*_1=8.383623088  Abar''_1=-1.555498189e-5  Abar''*_1=-0.1853636533  ctrl_M=-1.17612  gen_pair=-29.7
  t1=1.2  rot/2pi=1.0  closure=7.44e-60  sym=n/a  S(k406a)=20.16088557  Abar_1=0.012208639  Abar*_1=13.9299385  Abar''_1=-3.755675519e-5  Abar''*_1=-2.454218153  ctrl_M=-1.16347  gen_pair=-2.23
  t1=1.9  rot/2pi=1.0  closure=4.59e-60  sym=n/a  S(k406a)=20.3135409  Abar_1=0.02037503189  Abar*_1=23.60110298  Abar''_1=-0.0001009275727  Abar''*_1=-7.323304158  ctrl_M=-1.34374  gen_pair=3.91
  t1=2.6  rot/2pi=1.0  closure=2.31e-60  sym=n/a  S(k406a)=17.27183803  Abar_1=0.03030025858  Abar*_1=25.3738393  Abar''_1=-0.003552784791  Abar''*_1=-8.922043937  ctrl_M=-8.5602  gen_pair=-0.608
  t1=3.5  rot/2pi=1.0  closure=1.43e-60  sym=n/a  S(k406a)=17.89031322  Abar_1=0.02839149149  Abar*_1=25.50861233  Abar''_1=-0.0005550731062  Abar''*_1=-8.848437632  ctrl_M=-1.96707  gen_pair=-0.403
  t1=4.4  rot/2pi=1.0  closure=4.4e-60  sym=n/a  S(k406a)=20.37083412  Abar_1=0.0201277953  Abar*_1=23.44642155  Abar''_1=-9.778214642e-5  Abar''*_1=-7.231614877  ctrl_M=-0.739231  gen_pair=-1.87
  t1=5.3  rot/2pi=1.0  closure=3.47e-60  sym=n/a  S(k406a)=19.15954292  Abar_1=0.01047953144  Abar*_1=10.7987849  Abar''_1=-2.801857911e-5  Abar''*_1=-1.106180984  ctrl_M=-0.952421  gen_pair=0.00714
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   1.4077   FAIL/not-1
    k406a_C2   1.4077   FAIL/not-1
    k607       2.5884   FAIL/not-1
    k607_diff  18.3   FAIL/not-1
    k609       50.068   FAIL/not-1
    k609_diff  0.0039456   FAIL/not-1
    k610       86.332   FAIL/not-1
    k610_diff  139.99   FAIL/not-1
    k905       4.8255   FAIL/not-1
    k905_diff  23.455   FAIL/not-1
    k906       2.0486   FAIL/not-1
    k906_diff  0.032895   FAIL/not-1
    k907b      2.0438   FAIL/not-1
    k907b_diff 0.045534   FAIL/not-1
    k907b_pt   2.0438   FAIL/not-1
    k604b      2.5884   FAIL/not-1
    k605b      2.5884   FAIL/not-1
    k903b      2.0438   FAIL/not-1
    k904b      2.0438   FAIL/not-1
  checks: closure=7.44e-60  central-symmetry=0.0  P' on E'=1.63e-59  polar/dual circle geometry=1.21e-55  min|sin(angle of consecutive antipedal lines)|=0.020106  E' foci on y-axis
====================================================================================================
ODD-CONTROL  a=1.0 b=0.5 N=5 tau=1   caustic a''=0.9227001422795942723511322  b''=0.3183952772306516384451984   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=1.4e-60  sym=n/a  S(k406a)=3.770546002  Abar_1=0.9299417701  Abar*_1=0.1016628506  Abar''_1=0.3994284971  Abar''*_1=-0.8735120112  ctrl_M=-0.306409  gen_pair=-0.651
  t1=0.3  rot/2pi=1.0  closure=3.67e-60  sym=n/a  S(k406a)=3.770946642  Abar_1=0.8899688672  Abar*_1=0.7578975807  Abar''_1=0.5516441708  Abar''*_1=-1.281992823  ctrl_M=0.34133  gen_pair=0.29
  t1=0.77  rot/2pi=1.0  closure=4.71e-60  sym=n/a  S(k406a)=3.771534756  Abar_1=0.9151764614  Abar*_1=0.3407503643  Abar''_1=0.4446149247  Abar''*_1=-1.491548507  ctrl_M=-0.121357  gen_pair=0.732
  t1=1.2  rot/2pi=1.0  closure=8.12e-60  sym=n/a  S(k406a)=3.770700208  Abar_1=0.9283256667  Abar*_1=0.1276345804  Abar''_1=0.4039228434  Abar''*_1=-0.9204703424  ctrl_M=-0.286682  gen_pair=-0.743
  t1=1.9  rot/2pi=1.0  closure=7.18e-60  sym=n/a  S(k406a)=3.770821035  Abar_1=0.8885143253  Abar*_1=0.7822965622  Abar''_1=0.5594624173  Abar''*_1=-1.334144134  ctrl_M=0.374225  gen_pair=0.527
  t1=2.6  rot/2pi=1.0  closure=4.07e-60  sym=n/a  S(k406a)=3.771168957  Abar_1=0.9224112651  Abar*_1=0.2230983517  Abar''_1=0.4212629691  Abar''*_1=-1.116171781  ctrl_M=-0.217992  gen_pair=0.0272
  t1=3.5  rot/2pi=1.0  closure=2.13e-60  sym=n/a  S(k406a)=3.770609724  Abar_1=0.9292879931  Abar*_1=0.1121635186  Abar''_1=0.4012346841  Abar''*_1=-0.8922711035  ctrl_M=-0.29959  gen_pair=-0.543
  t1=4.4  rot/2pi=1.0  closure=9.3e-60  sym=n/a  S(k406a)=3.770876113  Abar_1=0.8891375455  Abar*_1=0.7718382186  Abar''_1=0.556084816  Abar''*_1=-1.312218002  ctrl_M=0.351815  gen_pair=3.22
  t1=5.3  rot/2pi=1.0  closure=8.35e-60  sym=n/a  S(k406a)=3.770699115  Abar_1=0.9283375536  Abar*_1=0.1274433726  Abar''_1=0.4038894215  Abar''*_1=-0.920117453  ctrl_M=-0.286824  gen_pair=-0.743
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   0.088005   FAIL/not-1
    k406a_C2   0.18753   FAIL/not-1
    k607       4.2337   FAIL/not-1
    k607_diff  0.72838   FAIL/not-1
    k609       0.37199   FAIL/not-1
    k609_diff  0.17598   FAIL/not-1
    k610       1.2043   FAIL/not-1
    k610_diff  0.81491   FAIL/not-1
    k905       387.79   FAIL/not-1
    k905_diff  20.719   FAIL/not-1
    k906       0.12592   FAIL/not-1
    k906_diff  0.56911   FAIL/not-1
    k907b      0.047603   FAIL/not-1
    k907b_diff 0.0047189   FAIL/not-1
    k907b_pt   0.047603   FAIL/not-1
    k604b      0.049982   FAIL/not-1
    k605b      0.049982   FAIL/not-1
    k903b      0.047603   FAIL/not-1
    k904b      0.047603   FAIL/not-1
  checks: closure=9.3e-60  central-symmetry=0.0  P' on E'=8.56e-60  polar/dual circle geometry=3.8e-58  min|sin(angle of consecutive antipedal lines)|=0.0930725  E' foci on x-axis
====================================================================================================
ODD-CONTROL  a=1.0 b=0.8 N=7 tau=1   caustic a''=0.9224828288467989433555075  b''=0.7006957752956646396630917   (0.1s)
  t1=0.0  rot/2pi=1.0  closure=4.44e-60  sym=n/a  S(k406a)=3.362504726  Abar_1=2.093258166  Abar*_1=2.113688959  Abar''_1=1.746980408  Abar''*_1=1.560062794  ctrl_M=-0.00362192  gen_pair=0.0228
  t1=0.3  rot/2pi=1.0  closure=3.14e-61  sym=n/a  S(k406a)=3.362504727  Abar_1=2.093149412  Abar*_1=2.111119448  Abar''_1=1.74785522  Abar''*_1=1.562865194  ctrl_M=-0.00260796  gen_pair=-0.0111
  t1=0.77  rot/2pi=1.0  closure=1.54e-60  sym=n/a  S(k406a)=3.362504726  Abar_1=2.093252858  Abar*_1=2.113563556  Abar''_1=1.747023082  Abar''*_1=1.560199563  ctrl_M=-0.00358355  gen_pair=0.0176
  t1=1.2  rot/2pi=1.0  closure=1.32e-60  sym=n/a  S(k406a)=3.362504727  Abar_1=2.093148485  Abar*_1=2.111097538  Abar''_1=1.747862684  Abar''*_1=1.56288909  ctrl_M=-0.00259987  gen_pair=-0.0116
  t1=1.9  rot/2pi=1.0  closure=4.67e-61  sym=n/a  S(k406a)=3.362504726  Abar_1=2.093251578  Abar*_1=2.113533315  Abar''_1=1.747033374  Abar''*_1=1.560232545  ctrl_M=-0.00355021  gen_pair=0.024
  t1=2.6  rot/2pi=1.0  closure=8.53e-61  sym=n/a  S(k406a)=3.362504727  Abar_1=2.093224292  Abar*_1=2.112888632  Abar''_1=1.747252795  Abar''*_1=1.56093566  ctrl_M=-0.00333421  gen_pair=0.00331
  t1=3.5  rot/2pi=1.0  closure=1.56e-61  sym=n/a  S(k406a)=3.362504726  Abar_1=2.093255514  Abar*_1=2.113626305  Abar''_1=1.747001729  Abar''*_1=1.560131127  ctrl_M=-0.00360495  gen_pair=0.0195
  t1=4.4  rot/2pi=1.0  closure=1.97e-60  sym=n/a  S(k406a)=3.362504726  Abar_1=2.093254208  Abar*_1=2.113595453  Abar''_1=1.747012228  Abar''*_1=1.560164776  ctrl_M=-0.00359456  gen_pair=0.0185
  t1=5.3  rot/2pi=1.0  closure=3.41e-60  sym=n/a  S(k406a)=3.362504727  Abar_1=2.093228094  Abar*_1=2.112978472  Abar''_1=1.747222214  Abar''*_1=1.560837677  ctrl_M=-0.00336818  gen_pair=0.00496
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   0.00039221   FAIL/not-1
    k406a_C2   0.002941   FAIL/not-1
    k607       0.0014038   FAIL/not-1
    k607_diff  0.0029631   FAIL/not-1
    k609       0.00057717   FAIL/not-1
    k609_diff  0.0010089   FAIL/not-1
    k610       0.0020672   FAIL/not-1
    k610_diff  0.0032316   FAIL/not-1
    k905       0.0023156   FAIL/not-1
    k905_diff  0.018089   FAIL/not-1
    k906       0.00045246   FAIL/not-1
    k906_diff  0.0018851   FAIL/not-1
    k907b      5.9912e-5   FAIL/not-1
    k907b_diff 6.1781e-5   FAIL/not-1
    k907b_pt   5.9912e-5   FAIL/not-1
    k604b      5.9915e-5   FAIL/not-1
    k605b      5.9915e-5   FAIL/not-1
    k903b      5.9912e-5   FAIL/not-1
    k904b      5.9912e-5   FAIL/not-1
  checks: closure=4.44e-60  central-symmetry=0.0  P' on E'=1.87e-60  polar/dual circle geometry=8.25e-60  min|sin(angle of consecutive antipedal lines)|=0.360324  E' foci on x-axis
====================================================================================================
NONPRIMITIVE-CONTROL  a=1.0 b=0.5 N=6 tau=2   caustic a''=0.8685170918213297643730738  b''=0.06574145408933511781346312   (0.1s)
  t1=0.0  rot/2pi=2.0  closure=5.45e-61  sym=4.27  S(k406a)=34.52470915  Abar_1=0.06065958083  Abar*_1=50.74137225  Abar''_1=-0.007729069405  Abar''*_1=-17.8452414  ctrl_M=-126.156  gen_pair=-0.638
  t1=0.3  rot/2pi=2.0  closure=1.98e-60  sym=5.98  S(k406a)=37.07663547  Abar_1=0.01941793502  Abar*_1=18.73296076  Abar''_1=-4.464910026e-5  Abar''*_1=-1.075991659  ctrl_M=-0.97028  gen_pair=0.328
  t1=0.77  rot/2pi=2.0  closure=5.71e-60  sym=5.55  S(k406a)=36.07939219  Abar_1=0.01835441595  Abar*_1=16.76724618  Abar''_1=-3.110996378e-5  Abar''*_1=-0.3707273066  ctrl_M=-1.17612  gen_pair=-29.7
  t1=1.2  rot/2pi=2.0  closure=1.53e-59  sym=7.14  S(k406a)=40.32177115  Abar_1=0.024417278  Abar*_1=27.85987699  Abar''_1=-7.511351038e-5  Abar''*_1=-4.908436305  ctrl_M=-1.16347  gen_pair=-2.23
  t1=1.9  rot/2pi=2.0  closure=9.92e-60  sym=7.24  S(k406a)=40.6270818  Abar_1=0.04075006377  Abar*_1=47.20220596  Abar''_1=-0.0002018551453  Abar''*_1=-14.64660832  ctrl_M=-1.34374  gen_pair=3.91
  t1=2.6  rot/2pi=2.0  closure=4.56e-60  sym=4.39  S(k406a)=34.54367605  Abar_1=0.06060051715  Abar*_1=50.7476786  Abar''_1=-0.007105569582  Abar''*_1=-17.84408787  ctrl_M=-8.5602  gen_pair=-0.608
  t1=3.5  rot/2pi=2.0  closure=3.41e-60  sym=5.4  S(k406a)=35.78062644  Abar_1=0.05678298299  Abar*_1=51.01722466  Abar''_1=-0.001110146212  Abar''*_1=-17.69687526  ctrl_M=-1.96707  gen_pair=-0.403
  t1=4.4  rot/2pi=2.0  closure=6.05e-60  sym=7.27  S(k406a)=40.74166825  Abar_1=0.0402555906  Abar*_1=46.89284309  Abar''_1=-0.0001955642928  Abar''*_1=-14.46322975  ctrl_M=-0.739231  gen_pair=-1.87
  t1=5.3  rot/2pi=2.0  closure=5.48e-60  sym=6.46  S(k406a)=38.31908584  Abar_1=0.02095906289  Abar*_1=21.5975698  Abar''_1=-5.603715823e-5  Abar''*_1=-2.212361968  ctrl_M=-0.952421  gen_pair=0.00714
  max deviations over the 9 members (|ratio-1| or |centroid|):
    k406a_C0   1.4077   FAIL/not-1
    k406a_C2   1.4077   FAIL/not-1
    k607       2.5884   FAIL/not-1
    k607_diff  36.601   FAIL/not-1
    k609       50.068   FAIL/not-1
    k609_diff  0.0078911   FAIL/not-1
    k610       86.332   FAIL/not-1
    k610_diff  279.98   FAIL/not-1
    k905       4.8255   FAIL/not-1
    k905_diff  46.91   FAIL/not-1
    k906       2.0486   FAIL/not-1
    k906_diff  0.065791   FAIL/not-1
    k907b      2.0438   FAIL/not-1
    k907b_diff 0.091067   FAIL/not-1
    k907b_pt   2.0438   FAIL/not-1
    k604b      2.5884   FAIL/not-1
    k605b      2.5884   FAIL/not-1
    k903b      2.0438   FAIL/not-1
    k904b      2.0438   FAIL/not-1
  checks: closure=1.53e-59  central-symmetry=7.27  P' on E'=1.63e-59  polar/dual circle geometry=2.39e-55  min|sin(angle of consecutive antipedal lines)|=0.020106  E' foci on y-axis
====================================================================================================
SUMMARY (max |deviation| per family; PASS means < 1.0e-45)
  a=1.0 b=0.5 N= 4 tau=1 : k406a_C0=2.5e-60  k406a_C2=2.76e-60  k607=1.54e-59  k607_diff=2.99e-59  k609=1.29e-59  k609_diff=1.26e-60  k610=2.06e-57  k610_diff=2.08e-55  k905=1.46e-58  k905_diff=1.77e-58  k906=1.56e-61  k906_diff=1.56e-61  k907b=5.45e-60  k907b_diff=3.5e-61  k604b=9.02e-60  k605b=4.75e-60  k903b=2.27e-59  k904b=9.8e-60
  a=1.0 b=0.5 N= 6 tau=1 : k406a_C0=1.74e-60  k406a_C2=2.58e-60  k607=0.0  k607_diff=6.18e-60  k609=6.69e-60  k609_diff=6.61e-60  k610=8.32e-60  k610_diff=8.4e-60  k905=2.64e-59  k905_diff=5.15e-58  k906=7.23e-60  k906_diff=6.6e-59  k907b=4.67e-60  k907b_diff=5.45e-61  k604b=4.2e-60  k605b=2.8e-60  k903b=1.17e-59  k904b=7.93e-60
  a=1.0 b=0.5 N= 8 tau=1 : k406a_C0=9.26e-61  k406a_C2=8.01e-61  k607=4.2e-60  k607_diff=1.56e-60  k609=2.8e-60  k609_diff=4.98e-60  k610=2.57e-60  k610_diff=2.41e-60  k905=1.04e-59  k905_diff=4.38e-58  k906=7.39e-60  k906_diff=1.47e-58  k907b=2.26e-60  k907b_diff=3.31e-61  k604b=2.8e-60  k605b=2.49e-60  k903b=9.33e-60  k904b=7.7e-60
  a=1.0 b=0.5 N=10 tau=1 : k406a_C0=2.23e-60  k406a_C2=2.66e-60  k607=5.91e-60  k607_diff=3.11e-60  k609=5.45e-60  k609_diff=1.21e-59  k610=6.15e-60  k610_diff=5.45e-60  k905=2.08e-59  k905_diff=1.07e-57  k906=1.49e-59  k906_diff=4.46e-58  k907b=4.59e-60  k907b_diff=7.39e-61  k604b=4.67e-60  k605b=3.58e-60  k903b=1.24e-59  k904b=1.49e-59
  a=1.0 b=0.5 N=12 tau=1 : k406a_C0=9.99e-61  k406a_C2=7.04e-61  k607=2.57e-60  k607_diff=1.56e-60  k609=1.4e-60  k609_diff=3.42e-60  k610=1.71e-60  k610_diff=1.48e-60  k905=2.41e-60  k905_diff=1.39e-58  k906=4.51e-60  k906_diff=1.69e-58  k907b=2.02e-60  k907b_diff=3.5e-61  k604b=1.17e-60  k605b=9.33e-61  k903b=3.89e-60  k904b=4.2e-60
  a=1.0 b=0.8 N= 4 tau=1 : k406a_C0=8.72e-61  k406a_C2=1.1e-60  k607=1.4e-60  k607_diff=4.67e-60  k609=2.41e-60  k609_diff=7.78e-61  k610=1.35e-59  k610_diff=5.35e-59  k905=3.27e-60  k905_diff=1.62e-59  k906=1.56e-61  k906_diff=1.56e-61  k907b=1.24e-60  k907b_diff=8.56e-61  k604b=1.24e-60  k605b=1.09e-60  k903b=2.49e-60  k904b=2.33e-60
  a=1.0 b=0.8 N= 6 tau=1 : k406a_C0=2.09e-61  k406a_C2=3.38e-61  k607=6.22e-61  k607_diff=1.24e-60  k609=1.01e-60  k609_diff=1.4e-60  k610=4.67e-61  k610_diff=6.22e-61  k905=1.71e-60  k905_diff=1.24e-59  k906=1.09e-60  k906_diff=3.73e-60  k907b=5.45e-61  k907b_diff=5.45e-61  k604b=5.45e-61  k605b=4.67e-61  k903b=1.17e-60  k904b=1.32e-60
  a=1.0 b=0.8 N= 8 tau=1 : k406a_C0=1.65e-60  k406a_C2=1.2e-60  k607=1.09e-60  k607_diff=2.18e-60  k609=3.27e-60  k609_diff=6.53e-60  k610=1.24e-60  k610_diff=2.02e-60  k905=6.69e-60  k905_diff=5.48e-59  k906=8.09e-60  k906_diff=3.98e-59  k907b=2.33e-60  k907b_diff=2.49e-60  k604b=2.96e-60  k605b=2.33e-60  k903b=7.31e-60  k904b=8.56e-60
  a=1.0 b=0.8 N=10 tau=1 : k406a_C0=7.37e-61  k406a_C2=6.22e-61  k607=6.22e-61  k607_diff=1.09e-60  k609=1.09e-60  k609_diff=2.49e-60  k610=4.67e-61  k610_diff=7.78e-61  k905=2.18e-60  k905_diff=1.87e-59  k906=2.49e-60  k906_diff=1.49e-59  k907b=7.78e-61  k907b_diff=9.33e-61  k604b=7.78e-61  k605b=6.22e-61  k903b=1.63e-60  k904b=2.64e-60
  a=1.0 b=0.8 N=12 tau=1 : k406a_C0=2.1e-60  k406a_C2=7.45e-61  k607=6.22e-61  k607_diff=1.24e-60  k609=9.33e-61  k609_diff=2.49e-60  k610=4.67e-61  k610_diff=9.33e-61  k905=2.18e-60  k905_diff=1.87e-59  k906=2.8e-60  k906_diff=1.87e-59  k907b=6.22e-61  k907b_diff=7.78e-61  k604b=9.33e-61  k605b=7.78e-61  k903b=1.71e-60  k904b=2.64e-60
  a=1.7 b=0.3 N= 4 tau=1 : k406a_C0=1.22e-59  k406a_C2=1.46e-59  k607=3.14e-58  k607_diff=6.11e-58  k609=1.39e-58  k609_diff=7.46e-61  k610=9.8e-60  k610_diff=3.44e-58  k905=4.72e-59  k905_diff=2.46e-56  k906=1.56e-61  k906_diff=7.78e-62  k907b=3.36e-59  k907b_diff=7.78e-62  k604b=3.3e-59  k605b=1.15e-59  k903b=1.0e-58  k904b=2.68e-59
  a=1.7 b=0.3 N= 6 tau=1 : k406a_C0=2.59e-59  k406a_C2=4.9e-59  k607=8.71e-60  k607_diff=1.31e-58  k609=3.55e-59  k609_diff=1.7e-59  k610=8.87e-60  k610_diff=2.79e-58  k905=6.14e-58  k905_diff=1.8e-56  k906=2.56e-59  k906_diff=1.02e-57  k907b=6.92e-59  k907b_diff=2.53e-61  k604b=3.17e-59  k605b=1.43e-59  k903b=5.13e-59  k904b=3.85e-59
  a=1.7 b=0.3 N= 8 tau=1 : k406a_C0=3.16e-59  k406a_C2=1.65e-58  k607=2.47e-59  k607_diff=4.51e-58  k609=4.3e-59  k609_diff=1.19e-58  k610=2.08e-59  k610_diff=5.58e-58  k905=5.37e-58  k905_diff=5.97e-56  k906=6.78e-59  k906_diff=9.58e-57  k907b=4.52e-59  k907b_diff=2.14e-61  k604b=4.63e-59  k605b=2.72e-59  k903b=1.07e-58  k904b=8.49e-59
  a=1.7 b=0.3 N=10 tau=1 : k406a_C0=4.72e-59  k406a_C2=4.06e-58  k607=1.82e-59  k607_diff=3.63e-58  k609=6.38e-59  k609_diff=2.88e-58  k610=2.27e-59  k610_diff=5.73e-58  k905=4.01e-58  k905_diff=2.4e-55  k906=1.47e-58  k906_diff=4.15e-56  k907b=5.1e-59  k907b_diff=2.93e-61  k604b=6.38e-59  k605b=4.47e-59  k903b=1.6e-58  k904b=1.65e-58
  a=1.7 b=0.3 N=12 tau=1 : k406a_C0=3.88e-59  k406a_C2=6.29e-58  k607=7.78e-60  k607_diff=1.62e-58  k609=1.01e-59  k609_diff=5.79e-59  k610=1.44e-59  k610_diff=3.53e-58  k905=5.24e-59  k905_diff=4.69e-56  k906=3.33e-59  k906_diff=1.47e-56  k907b=2.66e-59  k907b_diff=1.71e-61  k604b=8.87e-60  k605b=6.77e-60  k903b=2.94e-59  k904b=3.3e-59
  a=1.0 b=0.65 N= 4 tau=1 : k406a_C0=4.84e-61  k406a_C2=5.62e-61  k607=1.4e-60  k607_diff=3.73e-60  k609=2.64e-60  k609_diff=6.03e-61  k610=3.83e-59  k610_diff=1.15e-58  k905=2.18e-59  k905_diff=3.05e-59  k906=0.0  k906_diff=0.0  k907b=1.56e-60  k907b_diff=3.69e-61  k604b=1.24e-60  k605b=8.56e-61  k903b=2.8e-60  k904b=1.87e-60
  a=1.0 b=0.65 N= 6 tau=1 : k406a_C0=6.24e-61  k406a_C2=1.07e-60  k607=1.94e-60  k607_diff=2.33e-60  k609=3.11e-60  k609_diff=3.89e-60  k610=7.62e-60  k610_diff=3.31e-60  k905=1.37e-59  k905_diff=1.71e-58  k906=4.75e-60  k906_diff=2.49e-59  k907b=2.49e-60  k907b_diff=9.33e-61  k604b=2.8e-60  k605b=1.87e-60  k903b=6.22e-60  k904b=5.45e-60
  a=1.0 b=0.65 N= 8 tau=1 : k406a_C0=6.05e-61  k406a_C2=7.74e-61  k607=1.4e-60  k607_diff=1.24e-60  k609=9.33e-61  k609_diff=1.87e-60  k610=2.49e-60  k610_diff=1.24e-60  k905=2.33e-60  k905_diff=3.98e-59  k906=2.18e-60  k906_diff=1.99e-59  k907b=1.24e-60  k907b_diff=5.45e-61  k604b=1.09e-60  k605b=7.78e-61  k903b=2.49e-60  k904b=2.49e-60
  a=1.0 b=0.65 N=10 tau=1 : k406a_C0=2.59e-60  k406a_C2=1.73e-60  k607=4.2e-60  k607_diff=3.42e-60  k609=4.28e-60  k609_diff=9.96e-60  k610=4.98e-60  k610_diff=2.72e-60  k905=9.96e-60  k905_diff=1.92e-58  k906=1.26e-59  k906_diff=1.58e-58  k907b=2.96e-60  k907b_diff=1.44e-60  k604b=3.73e-60  k605b=3.11e-60  k903b=1.12e-59  k904b=1.34e-59
  a=1.0 b=0.65 N=12 tau=1 : k406a_C0=1.65e-60  k406a_C2=1.14e-60  k607=2.18e-60  k607_diff=1.63e-60  k609=1.24e-60  k609_diff=3.11e-60  k610=2.8e-60  k610_diff=1.63e-60  k905=2.8e-60  k905_diff=5.73e-59  k906=4.04e-60  k906_diff=6.1e-59  k907b=1.09e-60  k907b_diff=5.45e-61  k604b=1.09e-60  k605b=9.33e-61  k903b=2.88e-60  k904b=4.04e-60
  a=1.0 b=0.5 N= 8 tau=3 : k406a_C0=4.52e-57  k406a_C2=1.52e-56  k607=1.03e-55  k607_diff=4.93e-53  k609=1.5e-57  k609_diff=9.08e-61  k610=9.95e-58  k610_diff=4.16e-56  k905=7.67e-58  k905_diff=2.17e-56  k906=1.45e-56  k906_diff=7.19e-58  k907b=4.09e-58  k907b_diff=3.07e-59  k604b=8.52e-57  k605b=4.12e-58  k903b=2.38e-57  k904b=4.47e-58
  a=1.0 b=0.8 N=10 tau=3 : k406a_C0=1.75e-60  k406a_C2=1.82e-60  k607=3.73e-60  k607_diff=5.1e-59  k609=4.67e-60  k609_diff=8.17e-61  k610=1.13e-58  k610_diff=1.27e-57  k905=1.67e-59  k905_diff=4.67e-59  k906=1.87e-60  k906_diff=2.18e-60  k907b=1.71e-60  k907b_diff=2.64e-60  k604b=1.4e-60  k605b=1.48e-60  k903b=3.73e-60  k904b=1.79e-60
  a=1.0 b=0.5 N= 3 tau=1 : k406a_C0=1.41  k406a_C2=1.41  k607=2.59  k607_diff=18.3  k609=50.1  k609_diff=0.00395  k610=86.3  k610_diff=140.0  k905=4.83  k905_diff=23.5  k906=2.05  k906_diff=0.0329  k907b=2.04  k907b_diff=0.0455  k604b=2.59  k605b=2.59  k903b=2.04  k904b=2.04
  a=1.0 b=0.5 N= 5 tau=1 : k406a_C0=0.088  k406a_C2=0.188  k607=4.23  k607_diff=0.728  k609=0.372  k609_diff=0.176  k610=1.2  k610_diff=0.815  k905=388.0  k905_diff=20.7  k906=0.126  k906_diff=0.569  k907b=0.0476  k907b_diff=0.00472  k604b=0.05  k605b=0.05  k903b=0.0476  k904b=0.0476
  a=1.0 b=0.8 N= 7 tau=1 : k406a_C0=0.000392  k406a_C2=0.00294  k607=0.0014  k607_diff=0.00296  k609=0.000577  k609_diff=0.00101  k610=0.00207  k610_diff=0.00323  k905=0.00232  k905_diff=0.0181  k906=0.000452  k906_diff=0.00189  k907b=5.99e-5  k907b_diff=6.18e-5  k604b=5.99e-5  k605b=5.99e-5  k903b=5.99e-5  k904b=5.99e-5
  a=1.0 b=0.5 N= 6 tau=2 : k406a_C0=1.41  k406a_C2=1.41  k607=2.59  k607_diff=36.6  k609=50.1  k609_diff=0.00789  k610=86.3  k610_diff=280.0  k905=4.83  k905_diff=46.9  k906=2.05  k906_diff=0.0658  k907b=2.04  k907b_diff=0.0911  k604b=2.59  k605b=2.59  k903b=2.04  k904b=2.04
total time 4.8s
