
== N=4 tau=1  (N mod 4 = 0)
   a/b=1.02  kappa*=2.0 (2-phase diff 7.8e-29)  kappa(ped/A')=0.2499019896  min ped1 sign=+  k404-ratio phase diff=3.38e-5
   a/b=1.05  kappa*=2.0 (2-phase diff 1.5e-28)  kappa(ped/A')=0.2494058231  min ped1 sign=+  k404-ratio phase diff=0.000294
   a/b=1.1   kappa*=2.0 (2-phase diff 1.3e-28)  kappa(ped/A')=0.2477426752  min ped1 sign=+  k404-ratio phase diff=0.00166
   a/b=1.2   kappa*=2.0 (2-phase diff 2.1e-28)  kappa(ped/A')=0.2418704649  min ped1 sign=+  k404-ratio phase diff=0.00964
   a/b=1.3   kappa*=2.0 (2-phase diff 3.5e-29)  kappa(ped/A')=0.2335512223  min ped1 sign=+  k404-ratio phase diff=0.0263
   a/b=1.4   kappa*=2.0 (2-phase diff 9.2e-29)  kappa(ped/A')=0.2237034332  min ped1 sign=+  k404-ratio phase diff=0.052
   a/b=1.5   kappa*=2.0 (2-phase diff 7.3e-29)  kappa(ped/A')=0.2130177515  min ped1 sign=+  k404-ratio phase diff=0.0855
   a/b=1.6   kappa*=2.0 (2-phase diff 7.5e-28)  kappa(ped/A')=0.2019946976  min ped1 sign=+  k404-ratio phase diff=0.125
   a/b=1.7   kappa*=2.0 (2-phase diff 8.4e-28)  kappa(ped/A')=0.1909847278  min ped1 sign=+  k404-ratio phase diff=0.168
   a/b=1.8   kappa*=2.0 (2-phase diff 6.8e-28)  kappa(ped/A')=0.1802242791  min ped1 sign=+  k404-ratio phase diff=0.213
   a/b=1.9   kappa*=2.0 (2-phase diff 3.0e-28)  kappa(ped/A')=0.1698655662  min ped1 sign=+  k404-ratio phase diff=0.258
   a/b=2     kappa*=2.0 (2-phase diff 3.8e-27)  kappa(ped/A')=0.16  min ped1 sign=+  k404-ratio phase diff=0.302
   a/b=2.2   kappa*=2.0 (2-phase diff 2.7e-27)  kappa(ped/A')=0.1419121786  min ped1 sign=+  k404-ratio phase diff=0.383
   a/b=2.5   kappa*=2.0 (2-phase diff 3.5e-27)  kappa(ped/A')=0.1189060642  min ped1 sign=+  k404-ratio phase diff=0.484
   a/b=3     kappa*=2.0 (2-phase diff 1.2e-27)  kappa(ped/A')=0.09  min ped1 sign=+  k404-ratio phase diff=0.6
   a/b=3.5   kappa*=2.0 (2-phase diff 5.4e-27)  kappa(ped/A')=0.0697757209  min ped1 sign=+  k404-ratio phase diff=0.671
   a/b=4     kappa*=2.0 (2-phase diff 5.2e-26)  kappa(ped/A')=0.0553633218  min ped1 sign=+  k404-ratio phase diff=0.717
   a/b=5     kappa*=2.0 (2-phase diff 1.7e-25)  kappa(ped/A')=0.03698224852  min ped1 sign=+  k404-ratio phase diff=0.769
   a/b=6     kappa*=2.0 (2-phase diff 8.4e-26)  kappa(ped/A')=0.02629656684  min ped1 sign=+  k404-ratio phase diff=0.796
   a/b=8     kappa*=2.0 (2-phase diff 4.9e-26)  kappa(ped/A')=0.01514792899  min ped1 sign=+  k404-ratio phase diff=0.822

== N=6 tau=1  (N mod 4 = 2)
   a/b=1.02  kappa*=1.31539210526 (2-phase diff 1.0e-28)  kappa(ped/A)=0.7599254975  min ped1 sign=+  k404-ratio phase diff=8.25e-29
   a/b=1.05  kappa*=1.28786290323 (2-phase diff 1.8e-29)  kappa(ped/A)=0.7745389649  min ped1 sign=+  k404-ratio phase diff=1.64e-29
   a/b=1.1   kappa*=1.2403125 (2-phase diff 5.5e-29)  kappa(ped/A)=0.798185941  min ped1 sign=+  k404-ratio phase diff=5.62e-29
   a/b=1.2   kappa*=1.13882352941 (2-phase diff 2.5e-28)  kappa(ped/A)=0.8429752066  min ped1 sign=+  k404-ratio phase diff=3.34e-28
   a/b=1.3   kappa*=1.02861111111 (2-phase diff 2.0e-28)  kappa(ped/A)=0.8846880907  min ped1 sign=+  k404-ratio phase diff=3.26e-28
   a/b=1.4   kappa*=0.909473684211 (2-phase diff 2.5e-28)  kappa(ped/A)=0.9236111111  min ped1 sign=+  k404-ratio phase diff=4.81e-28
   a/b=1.5   kappa*=0.78125 (2-phase diff 2.9e-28)  kappa(ped/A)=0.96  min ped1 sign=+  k404-ratio phase diff=6.31e-28
   a/b=1.6   kappa*=0.64380952381 (2-phase diff 3.2e-28)  kappa(ped/A)=0.9940828402  min ped1 sign=+  k404-ratio phase diff=7.27e-28
   a/b=1.7   kappa*=0.497045454545 (2-phase diff 9.9e-29)  kappa(ped/A)=1.0260631  min ped1 sign=+  k404-ratio phase diff=2.26e-28
   a/b=1.8   kappa*=0.340869565217 (2-phase diff 2.5e-28)  kappa(ped/A)=1.056122449  min ped1 sign=+  k404-ratio phase diff=4.61e-28
   a/b=1.9   kappa*=0.175208333333 (2-phase diff 2.1e-28)  kappa(ped/A)=1.084423306  min ped1 sign=+  k404-ratio phase diff=1.09e-28
   a/b=2     kappa*=7.52852039366e-28 (2-phase diff 1.5e-28)  kappa(ped/A)=1.111111111  min ped1 sign=+  k404-ratio phase diff=0.204
   a/b=2.2   kappa*=-0.379259259259 (2-phase diff 5.7e-29)  kappa(ped/A)=1.16015625  min ped1 sign=+  k404-ratio phase diff=5.78e-28
   *** sign change of kappa* between previous ratio and a/b=2.2
   a/b=2.5   kappa*=-1.02083333333 (2-phase diff 8.5e-30)  kappa(ped/A)=1.224489796  min ped1 sign=+  k404-ratio phase diff=6.87e-28
   a/b=3     kappa*=-2.28571428571 (2-phase diff 9.4e-28)  kappa(ped/A)=1.3125  min ped1 sign=+  k404-ratio phase diff=1.65e-27
   a/b=3.5   kappa*=-3.796875 (2-phase diff 1.4e-27)  kappa(ped/A)=1.382716049  min ped1 sign=+  k404-ratio phase diff=7.22e-28
   a/b=4     kappa*=-5.55555555556 (2-phase diff 5.1e-27)  kappa(ped/A)=1.44  min ped1 sign=+  k404-ratio phase diff=1.71e-27
   a/b=5     kappa*=-9.81818181818 (2-phase diff 7.5e-27)  kappa(ped/A)=1.527777778  min ped1 sign=+  k404-ratio phase diff=1.11e-27
   a/b=6     kappa*=-15.0769230769 (2-phase diff 2.9e-26)  kappa(ped/A)=1.591836735  min ped1 sign=+  k404-ratio phase diff=1.96e-27
   a/b=8     kappa*=-28.5882352941 (2-phase diff 6.8e-26)  kappa(ped/A)=1.679012346  min ped1 sign=+  k404-ratio phase diff=3.61e-27

== N=8 tau=1  (N mod 4 = 0)
   a/b=1.02  kappa*=1.15198237539 (2-phase diff 1.0e-28)  kappa(ped/A')=0.7405643606  min ped1 sign=+  k404-ratio phase diff=5.17e-11
   a/b=1.05  kappa*=1.12192124551 (2-phase diff 3.4e-30)  kappa(ped/A')=0.7583578651  min ped1 sign=+  k404-ratio phase diff=2.43e-9
   a/b=1.1   kappa*=1.07000246639 (2-phase diff 2.6e-28)  kappa(ped/A')=0.7874320513  min ped1 sign=+  k404-ratio phase diff=4.68e-8
   a/b=1.2   kappa*=0.959258910154 (2-phase diff 2.2e-28)  kappa(ped/A')=0.8434853892  min ped1 sign=+  k404-ratio phase diff=8.7e-7
   a/b=1.3   kappa*=0.839166435603 (2-phase diff 3.4e-28)  kappa(ped/A')=0.8969010169  min ped1 sign=+  k404-ratio phase diff=4.39e-6
   a/b=1.4   kappa*=0.709591548188 (2-phase diff 1.5e-28)  kappa(ped/A')=0.9478575417  min ped1 sign=+  k404-ratio phase diff=1.27e-5
   a/b=1.5   kappa*=0.570431222025 (2-phase diff 1.8e-28)  kappa(ped/A')=0.9965224824  min ped1 sign=+  k404-ratio phase diff=2.66e-5
   a/b=1.6   kappa*=0.421604840457 (2-phase diff 1.9e-28)  kappa(ped/A')=1.043051531  min ped1 sign=+  k404-ratio phase diff=4.48e-5
   a/b=1.7   kappa*=0.26304856087 (2-phase diff 1.9e-28)  kappa(ped/A')=1.087588584  min ped1 sign=+  k404-ratio phase diff=6.38e-5
   a/b=1.8   kappa*=0.0947112913163 (2-phase diff 6.9e-29)  kappa(ped/A')=1.13026619  min ped1 sign=+  k404-ratio phase diff=7.79e-5
   a/b=1.9   kappa*=-0.0834482352675 (2-phase diff 1.3e-29)  kappa(ped/A')=1.171206222  min ped1 sign=+  k404-ratio phase diff=8.01e-5
   *** sign change of kappa* between previous ratio and a/b=1.9
   a/b=2     kappa*=-0.271463623459 (2-phase diff 2.0e-29)  kappa(ped/A')=1.210520643  min ped1 sign=+  k404-ratio phase diff=6.27e-5
   a/b=2.2   kappa*=-0.677167429844 (2-phase diff 2.4e-28)  kappa(ped/A')=1.284675678  min ped1 sign=+  k404-ratio phase diff=6.17e-5
   a/b=2.5   kappa*=-1.36019334845 (2-phase diff 4.0e-28)  kappa(ped/A')=1.38603112  min ped1 sign=+  k404-ratio phase diff=0.000565
   a/b=3     kappa*=-2.69796339828 (2-phase diff 6.5e-28)  kappa(ped/A')=1.533285664  min ped1 sign=+  k404-ratio phase diff=0.00242
   a/b=3.5   kappa*=-4.28569514654 (2-phase diff 1.8e-28)  kappa(ped/A')=1.659148755  min ped1 sign=+  k404-ratio phase diff=0.00534
   a/b=4     kappa*=-6.12380037643 (2-phase diff 2.2e-27)  kappa(ped/A')=1.768373707  min ped1 sign=+  k404-ratio phase diff=0.00875
   a/b=5     kappa*=-10.5517645914 (2-phase diff 1.6e-28)  kappa(ped/A')=1.949596929  min ped1 sign=+  k404-ratio phase diff=0.0147
   a/b=6     kappa*=-15.9823374493 (2-phase diff 6.0e-26)  kappa(ped/A')=2.094934723  min ped1 sign=+  k404-ratio phase diff=0.0172
   a/b=8     kappa*=-29.8508864721 (2-phase diff 1.6e-26)  kappa(ped/A')=2.316192369  min ped1 sign=+  k404-ratio phase diff=0.00972

== N=8 tau=3  (N mod 4 = 0)
   a/b=1.02  kappa*=7.53273651872 (2-phase diff 6.5e-29)  kappa(ped/A')=0.01939423534  min ped1 sign=+  k404-ratio phase diff=1.1e-7
   a/b=1.05  kappa*=8.77214676946 (2-phase diff 2.2e-28)  kappa(ped/A')=0.01645366872  min ped1 sign=+  k404-ratio phase diff=6.14e-6
   a/b=1.1   kappa*=11.406896232 (2-phase diff 3.1e-28)  kappa(ped/A')=0.01216806987  min ped1 sign=+  k404-ratio phase diff=6.91e-5
   a/b=1.2   kappa*=19.4098394904 (2-phase diff 1.1e-27)  kappa(ped/A')=0.006308242728  min ped1 sign=+  k404-ratio phase diff=0.00144
   a/b=1.3   kappa*=32.3403103626 (2-phase diff 5.7e-27)  kappa(ped/A')=0.003241960144  min ped1 sign=+  k404-ratio phase diff=0.0098
   a/b=1.4   kappa*=52.0785192933 (2-phase diff 2.0e-26)  kappa(ped/A')=0.001711837495  min ped1 sign=+  k404-ratio phase diff=0.0171
   a/b=1.5   kappa*=80.9853646429 (2-phase diff 2.5e-26)  kappa(ped/A')=0.0009388615115  min ped1 sign=+  k404-ratio phase diff=0.0102
   a/b=1.6   kappa*=121.9888954 (2-phase diff 6.9e-27)  kappa(ped/A')=0.0005353126038  min ped1 sign=+  k404-ratio phase diff=0.0162
   a/b=1.7   kappa*=178.668752022 (2-phase diff 1.5e-24)  kappa(ped/A')=0.0003164988004  min ped1 sign=+  k404-ratio phase diff=0.0586
   a/b=1.8   kappa*=255.34483917 (2-phase diff 1.6e-24)  kappa(ped/A')=0.0001933724947  min ped1 sign=+  k404-ratio phase diff=0.111
   a/b=1.9   kappa*=357.171717666 (2-phase diff 4.7e-24)  kappa(ped/A')=0.0001216690065  min ped1 sign=+  k404-ratio phase diff=0.167
   a/b=2     kappa*=490.238941148 (2-phase diff 4.4e-23)  kappa(ped/A')=7.859008859e-5  min ped1 sign=+  k404-ratio phase diff=0.223
   a/b=2.2   kappa*=879.771005844 (2-phase diff 1.8e-22)  kappa(ped/A')=3.510177713e-5  min ped1 sign=+  k404-ratio phase diff=0.327
   a/b=2.5   kappa*=1916.6439754 (2-phase diff 1.1e-21)  kappa(ped/A')=1.204128822e-5  min ped1 sign=+  k404-ratio phase diff=0.451
   a/b=3     kappa*=5777.59683915 (2-phase diff 9.9e-21)  kappa(ped/A')=2.66450916e-6  min ped1 sign=+  k404-ratio phase diff=0.586
   a/b=3.5   kappa*=14630.5698112 (2-phase diff 5.7e-20)  kappa(ped/A')=7.534073128e-7  min ped1 sign=+  k404-ratio phase diff=0.665
   a/b=4     kappa*=32668.0528025 (2-phase diff 4.6e-19)  kappa(ped/A')=2.539038051e-7  min ped1 sign=+  k404-ratio phase diff=0.714
   a/b=5     kappa*=124841.533318 (2-phase diff 1.2e-19)  kappa(ped/A')=4.164011522e-8  min ped1 sign=+  k404-ratio phase diff=0.768
   a/b=6     kappa*=373018.022961 (2-phase diff 4.4e-17)  kappa(ped/A')=9.56562686e-9  min ped1 sign=+  k404-ratio phase diff=0.796
   a/b=8     kappa*=2096740.01282 (2-phase diff 3.3e-16)  kappa(ped/A')=9.460167971e-10  min ped1 sign=+  k404-ratio phase diff=0.822

== N=10 tau=1  (N mod 4 = 2)
   a/b=1.02  kappa*=1.08560937101 (2-phase diff 7.3e-29)  kappa(ped/A)=0.9206570525  min ped1 sign=+  k404-ratio phase diff=1.14e-28
   a/b=1.05  kappa*=1.05496313775 (2-phase diff 1.4e-29)  kappa(ped/A)=0.9447618563  min ped1 sign=+  k404-ratio phase diff=2.79e-29
   a/b=1.1   kappa*=1.00200540285 (2-phase diff 2.0e-28)  kappa(ped/A)=0.9846278671  min ped1 sign=+  k404-ratio phase diff=3.47e-28
   a/b=1.2   kappa*=0.888972886755 (2-phase diff 1.9e-29)  kappa(ped/A)=1.06324186  min ped1 sign=+  k404-ratio phase diff=3.18e-28
   a/b=1.3   kappa*=0.766353847825 (2-phase diff 9.4e-29)  kappa(ped/A)=1.140434178  min ped1 sign=+  k404-ratio phase diff=3.14e-28
   a/b=1.4   kappa*=0.634057378664 (2-phase diff 3.5e-28)  kappa(ped/A)=1.216281885  min ped1 sign=+  k404-ratio phase diff=5.01e-28
   a/b=1.5   kappa*=0.492014239737 (2-phase diff 2.6e-28)  kappa(ped/A)=1.290855894  min ped1 sign=+  k404-ratio phase diff=3.92e-28
   a/b=1.6   kappa*=0.340170921935 (2-phase diff 4.7e-28)  kappa(ped/A)=1.364221479  min ped1 sign=+  k404-ratio phase diff=6.28e-28
   a/b=1.7   kappa*=0.178485552643 (2-phase diff 4.4e-28)  kappa(ped/A)=1.436438781  min ped1 sign=+  k404-ratio phase diff=4.22e-28
   a/b=1.8   kappa*=0.00692500895471 (2-phase diff 3.1e-28)  kappa(ped/A)=1.507563281  min ped1 sign=+  k404-ratio phase diff=4.27e-26
   a/b=1.9   kappa*=-0.174537158093 (2-phase diff 1.1e-28)  kappa(ped/A)=1.577646244  min ped1 sign=+  k404-ratio phase diff=1.17e-27
   *** sign change of kappa* between previous ratio and a/b=1.9
   a/b=2     kappa*=-0.365922242007 (2-phase diff 2.6e-28)  kappa(ped/A)=1.646735116  min ped1 sign=+  k404-ratio phase diff=2.73e-27
   a/b=2.2   kappa*=-0.778527046009 (2-phase diff 1.1e-28)  kappa(ped/A)=1.782103405  min ped1 sign=+  k404-ratio phase diff=2.19e-27
   a/b=2.5   kappa*=-1.47219707838 (2-phase diff 1.8e-28)  kappa(ped/A)=1.978703901  min ped1 sign=+  k404-ratio phase diff=2.52e-27
   a/b=3     kappa*=-2.82815978812 (2-phase diff 2.5e-28)  kappa(ped/A)=2.291279028  min ped1 sign=+  k404-ratio phase diff=6.27e-28
   a/b=3.5   kappa*=-4.43433498572 (2-phase diff 2.3e-28)  kappa(ped/A)=2.587703933  min ped1 sign=+  k404-ratio phase diff=1.2e-28
   a/b=4     kappa*=-6.29093400852 (2-phase diff 4.9e-27)  kappa(ped/A)=2.870395918  min ped1 sign=+  k404-ratio phase diff=3.24e-27
   a/b=5     kappa*=-10.7556585751 (2-phase diff 3.5e-27)  kappa(ped/A)=3.401621207  min ped1 sign=+  k404-ratio phase diff=1.12e-27
   a/b=6     kappa*=-16.2224218561 (2-phase diff 4.1e-28)  kappa(ped/A)=3.895719222  min ped1 sign=+  k404-ratio phase diff=4.82e-28
   a/b=8     kappa*=-30.1613125636 (2-phase diff 4.1e-26)  kappa(ped/A)=4.799173426  min ped1 sign=+  k404-ratio phase diff=2.39e-27

== N=10 tau=3  (N mod 4 = 2)
   a/b=1.02  kappa*=2.9472779812 (2-phase diff 1.6e-28)  kappa(ped/A)=0.33927236  min ped1 sign=+  k404-ratio phase diff=3.98e-29
   a/b=1.05  kappa*=3.0306515704 (2-phase diff 1.2e-27)  kappa(ped/A)=0.3298362973  min ped1 sign=+  k404-ratio phase diff=2.18e-28
   a/b=1.1   kappa*=3.18091027171 (2-phase diff 1.0e-28)  kappa(ped/A)=0.31400549  min ped1 sign=+  k404-ratio phase diff=4.81e-29
   a/b=1.2   kappa*=3.52632901775 (2-phase diff 1.6e-28)  kappa(ped/A)=0.2829141979  min ped1 sign=+  k404-ratio phase diff=7.72e-30
   a/b=1.3   kappa*=3.9362457255 (2-phase diff 1.2e-27)  kappa(ped/A)=0.2537623414  min ped1 sign=+  k404-ratio phase diff=1.06e-28
   a/b=1.4   kappa*=4.41621725188 (2-phase diff 3.2e-27)  kappa(ped/A)=0.2272780668  min ped1 sign=+  k404-ratio phase diff=3.92e-28
   a/b=1.5   kappa*=4.97184116421 (2-phase diff 5.7e-27)  kappa(ped/A)=0.2036699424  min ped1 sign=+  k404-ratio phase diff=7.52e-28
   a/b=1.6   kappa*=5.60877487945 (2-phase diff 2.2e-27)  kappa(ped/A)=0.1828540471  min ped1 sign=+  k404-ratio phase diff=2.64e-28
   a/b=1.7   kappa*=6.33273802357 (2-phase diff 8.4e-27)  kappa(ped/A)=0.164603519  min ped1 sign=+  k404-ratio phase diff=1.07e-27
   a/b=1.8   kappa*=7.14950652619 (2-phase diff 1.4e-27)  kappa(ped/A)=0.148637483  min ped1 sign=+  k404-ratio phase diff=1.66e-28
   a/b=1.9   kappa*=8.06490377111 (2-phase diff 2.4e-26)  kappa(ped/A)=0.1346695115  min ped1 sign=+  k404-ratio phase diff=2.64e-27
   a/b=2     kappa*=9.0847915686 (2-phase diff 4.2e-26)  kappa(ped/A)=0.1224314906  min ped1 sign=+  k404-ratio phase diff=4.25e-27
   a/b=2.2   kappa*=11.4616314605 (2-phase diff 2.8e-26)  kappa(ped/A)=0.1022163375  min ped1 sign=+  k404-ratio phase diff=2.37e-27
   a/b=2.5   kappa*=15.958544319 (2-phase diff 7.4e-26)  kappa(ped/A)=0.07983023437  min ped1 sign=+  k404-ratio phase diff=4.78e-27
   a/b=3     kappa*=26.3353955071 (2-phase diff 8.7e-27)  kappa(ped/A)=0.05575823476  min ped1 sign=+  k404-ratio phase diff=4.05e-28
   a/b=3.5   kappa*=40.9630269738 (2-phase diff 2.6e-25)  kappa(ped/A)=0.04103413412  min ped1 sign=+  k404-ratio phase diff=8.42e-27
   a/b=4     kappa*=60.5907024239 (2-phase diff 3.1e-24)  kappa(ped/A)=0.03142470638  min ped1 sign=+  k404-ratio phase diff=7.98e-26
   a/b=5     kappa*=117.845431939 (2-phase diff 3.2e-24)  kappa(ped/A)=0.02009810473  min ped1 sign=+  k404-ratio phase diff=5.98e-26
   a/b=6     kappa*=204.099204401 (2-phase diff 5.1e-24)  kappa(ped/A)=0.01394459861  min ped1 sign=+  k404-ratio phase diff=6.87e-26
   a/b=8     kappa*=487.604593536 (2-phase diff 3.2e-23)  kappa(ped/A)=0.007833403044  min ped1 sign=+  k404-ratio phase diff=2.49e-25

== N=12 tau=1  (N mod 4 = 0)
   a/b=1.02  kappa*=1.05170951318 (2-phase diff 9.5e-29)  kappa(ped/A')=0.8866422446  min ped1 sign=+  k404-ratio phase diff=1.12e-15
   a/b=1.05  kappa*=1.02086316102 (2-phase diff 1.1e-28)  kappa(ped/A')=0.9107222369  min ped1 sign=+  k404-ratio phase diff=3.18e-13
   a/b=1.1   kappa*=0.967536564918 (2-phase diff 2.4e-29)  kappa(ped/A')=0.9505552328  min ped1 sign=+  k404-ratio phase diff=2.35e-11
   a/b=1.2   kappa*=0.853651647691 (2-phase diff 2.4e-28)  kappa(ped/A')=1.029125652  min ped1 sign=+  k404-ratio phase diff=1.66e-9
   a/b=1.3   kappa*=0.730054462347 (2-phase diff 3.1e-28)  kappa(ped/A')=1.106291443  min ped1 sign=+  k404-ratio phase diff=1.85e-8
   a/b=1.4   kappa*=0.596679902353 (2-phase diff 8.9e-29)  kappa(ped/A')=1.182118113  min ped1 sign=+  k404-ratio phase diff=9.63e-8
   a/b=1.5   kappa*=0.453478694252 (2-phase diff 1.2e-28)  kappa(ped/A')=1.256668286  min ped1 sign=+  k404-ratio phase diff=3.28e-7
   a/b=1.6   kappa*=0.300412986408 (2-phase diff 3.8e-28)  kappa(ped/A')=1.33000128  min ped1 sign=+  k404-ratio phase diff=8.58e-7
   a/b=1.7   kappa*=0.137453327803 (2-phase diff 3.9e-28)  kappa(ped/A')=1.402172964  min ped1 sign=+  k404-ratio phase diff=1.86e-6
   a/b=1.8   kappa*=-0.0354234495046 (2-phase diff 2.1e-28)  kappa(ped/A')=1.473235779  min ped1 sign=+  k404-ratio phase diff=3.54e-6
   *** sign change of kappa* between previous ratio and a/b=1.8
   a/b=1.9   kappa*=-0.218235744699 (2-phase diff 4.8e-28)  kappa(ped/A')=1.543238853  min ped1 sign=+  k404-ratio phase diff=6.06e-6
   a/b=2     kappa*=-0.41099829043 (2-phase diff 2.4e-27)  kappa(ped/A')=1.612228169  min ped1 sign=+  k404-ratio phase diff=9.57e-6
   a/b=2.2   kappa*=-0.826419417022 (2-phase diff 1.2e-28)  kappa(ped/A')=1.747334872  min ped1 sign=+  k404-ratio phase diff=1.98e-5
   a/b=2.5   kappa*=-1.52441120533 (2-phase diff 2.0e-28)  kappa(ped/A')=1.943381812  min ped1 sign=+  k404-ratio phase diff=4.21e-5
   a/b=3     kappa*=-2.88767868024 (2-phase diff 6.1e-29)  kappa(ped/A')=2.254612022  min ped1 sign=+  k404-ratio phase diff=8.17e-5
   a/b=3.5   kappa*=-4.50114566159 (2-phase diff 7.8e-28)  kappa(ped/A')=2.549203337  min ped1 sign=+  k404-ratio phase diff=8.9e-5
   a/b=4     kappa*=-6.36494385572 (2-phase diff 2.1e-28)  kappa(ped/A')=2.829627093  min ped1 sign=+  k404-ratio phase diff=3.47e-5
   a/b=5     kappa*=-10.8436695322 (2-phase diff 2.1e-27)  kappa(ped/A')=3.355208795  min ped1 sign=+  k404-ratio phase diff=0.00026
   a/b=6     kappa*=-16.3238590005 (2-phase diff 1.2e-26)  kappa(ped/A')=3.842448223  min ped1 sign=+  k404-ratio phase diff=0.000658
   a/b=8     kappa*=-30.2879919767 (2-phase diff 1.9e-26)  kappa(ped/A')=4.72941156  min ped1 sign=+  k404-ratio phase diff=0.00106

== N=12 tau=5  (N mod 4 = 0)
   a/b=1.02  kappa*=19.4924092186 (2-phase diff 6.0e-28)  kappa(ped/A')=0.003397942606  min ped1 sign=+  k404-ratio phase diff=2.53e-8
   a/b=1.05  kappa*=29.6625116742 (2-phase diff 2.6e-27)  kappa(ped/A')=0.002114278099  min ped1 sign=+  k404-ratio phase diff=7.66e-6
   a/b=1.1   kappa*=59.8906860022 (2-phase diff 3.8e-28)  kappa(ped/A')=0.0008932117028  min ped1 sign=+  k404-ratio phase diff=8.93e-5
   a/b=1.2   kappa*=214.34331669 (2-phase diff 5.6e-26)  kappa(ped/A')=0.0001654986788  min ped1 sign=+  k404-ratio phase diff=0.000933
   a/b=1.3   kappa*=634.029849395 (2-phase diff 4.4e-25)  kappa(ped/A')=3.696266128e-5  min ped1 sign=+  k404-ratio phase diff=0.0077
   a/b=1.4   kappa*=1624.75593762 (2-phase diff 2.1e-24)  kappa(ped/A')=9.816862538e-6  min ped1 sign=+  k404-ratio phase diff=0.0178
   a/b=1.5   kappa*=3746.34217278 (2-phase diff 8.3e-23)  kappa(ped/A')=2.992424656e-6  min ped1 sign=+  k404-ratio phase diff=0.0122
   a/b=1.6   kappa*=7968.0435696 (2-phase diff 9.4e-22)  kappa(ped/A')=1.018071058e-6  min ped1 sign=+  k404-ratio phase diff=0.0141
   a/b=1.7   kappa*=15894.3456611 (2-phase diff 1.6e-20)  kappa(ped/A')=3.787730766e-7  min ped1 sign=+  k404-ratio phase diff=0.0569
   a/b=1.8   kappa*=30084.1827209 (2-phase diff 3.2e-20)  kappa(ped/A')=1.518057774e-7  min ped1 sign=+  k404-ratio phase diff=0.11
   a/b=1.9   kappa*=54491.8082271 (2-phase diff 5.6e-20)  kappa(ped/A')=6.479756882e-8  min ped1 sign=+  k404-ratio phase diff=0.166
   a/b=2     kappa*=95063.4619201 (2-phase diff 1.2e-18)  kappa(ped/A')=2.919799172e-8  min ped1 sign=+  k404-ratio phase diff=0.223
   a/b=2.2   kappa*=263448.387819 (2-phase diff 1.7e-17)  kappa(ped/A')=6.790861792e-9  min ped1 sign=+  k404-ratio phase diff=0.327
   a/b=2.5   kappa*=1010591.65207 (2-phase diff 3.2e-16)  kappa(ped/A')=9.962232766e-10  min ped1 sign=+  k404-ratio phase diff=0.451
   a/b=3     kappa*=6670123.18617 (2-phase diff 4.5e-15)  kappa(ped/A')=6.798844508e-11  min ped1 sign=+  k404-ratio phase diff=0.586
   a/b=3.5   kappa*=32298620.5092 (2-phase diff 5.1e-13)  kappa(ped/A')=7.267330103e-12  min ped1 sign=+  k404-ratio phase diff=0.665
   a/b=4     kappa*=125533511.101 (2-phase diff 6.1e-12)  kappa(ped/A')=1.066238828e-12  min ped1 sign=+  k404-ratio phase diff=0.714
   a/b=5     kappa*=1198828907.06 (2-phase diff 2.7e-10)  kappa(ped/A')=4.425627126e-14  min ped1 sign=+  k404-ratio phase diff=0.768
   a/b=6     kappa*=7521111511.04 (2-phase diff 2.4e-8)  kappa(ped/A')=3.341294998e-15  min ped1 sign=+  k404-ratio phase diff=0.796
   a/b=8     kappa*=135271019783.0 (2-phase diff 2.0e-6)  kappa(ped/A')=5.773221349e-17  min ped1 sign=+  k404-ratio phase diff=0.822

== N=14 tau=1  (N mod 4 = 2)
   a/b=1.02  kappa*=1.03195653007 (2-phase diff 6.7e-29)  kappa(ped/A)=0.9684869248  min ped1 sign=+  k404-ratio phase diff=1.18e-28
   a/b=1.05  kappa*=1.00102433854 (2-phase diff 2.0e-30)  kappa(ped/A)=0.9954278669  min ped1 sign=+  k404-ratio phase diff=3.92e-30
   a/b=1.1   kappa*=0.947532952117 (2-phase diff 2.6e-28)  kappa(ped/A)=1.04016476  min ped1 sign=+  k404-ratio phase diff=5.1e-28
   a/b=1.2   kappa*=0.833248549842 (2-phase diff 3.7e-29)  kappa(ped/A)=1.129039052  min ped1 sign=+  k404-ratio phase diff=7.15e-29
   a/b=1.3   kappa*=0.709176147158 (2-phase diff 3.1e-28)  kappa(ped/A)=1.217145691  min ped1 sign=+  k404-ratio phase diff=6.87e-28
   a/b=1.4   kappa*=0.575267057578 (2-phase diff 3.0e-28)  kappa(ped/A)=1.304520199  min ped1 sign=+  k404-ratio phase diff=1.26e-27
   a/b=1.5   kappa*=0.431484566735 (2-phase diff 1.1e-28)  kappa(ped/A)=1.391195439  min ped1 sign=+  k404-ratio phase diff=1.8e-28
   a/b=1.6   kappa*=0.277800565777 (2-phase diff 1.7e-28)  kappa(ped/A)=1.477201831  min ped1 sign=+  k404-ratio phase diff=2.35e-28
   a/b=1.7   kappa*=0.114193254378 (2-phase diff 3.2e-28)  kappa(ped/A)=1.56256756  min ped1 sign=+  k404-ratio phase diff=1.33e-27
   a/b=1.8   kappa*=-0.0593544636922 (2-phase diff 1.4e-28)  kappa(ped/A)=1.647318774  min ped1 sign=+  k404-ratio phase diff=3.35e-27
   *** sign change of kappa* between previous ratio and a/b=1.8
   a/b=1.9   kappa*=-0.242856124395 (2-phase diff 3.4e-28)  kappa(ped/A)=1.731479775  min ped1 sign=+  k404-ratio phase diff=2.18e-27
   a/b=2     kappa*=-0.436322533598 (2-phase diff 5.5e-28)  kappa(ped/A)=1.815073182  min ped1 sign=+  k404-ratio phase diff=3.73e-27
   a/b=2.2   kappa*=-0.853182689168 (2-phase diff 6.2e-28)  kappa(ped/A)=1.980640177  min ped1 sign=+  k404-ratio phase diff=1.1e-27
   a/b=2.5   kappa*=-1.55337851679 (2-phase diff 7.2e-28)  kappa(ped/A)=2.225218225  min ped1 sign=+  k404-ratio phase diff=3.44e-27
   a/b=3     kappa*=-2.92035117057 (2-phase diff 2.4e-27)  kappa(ped/A)=2.623827395  min ped1 sign=+  k404-ratio phase diff=1.34e-26
   a/b=3.5   kappa*=-4.5374864761 (2-phase diff 8.1e-28)  kappa(ped/A)=3.012521435  min ped1 sign=+  k404-ratio phase diff=1.12e-26
   a/b=4     kappa*=-6.40487551768 (2-phase diff 6.4e-29)  kappa(ped/A)=3.392539224  min ped1 sign=+  k404-ratio phase diff=1.62e-27
   a/b=5     kappa*=-10.8904992718 (2-phase diff 2.8e-28)  kappa(ped/A)=4.130257335  min ped1 sign=+  k404-ratio phase diff=3.04e-27
   a/b=6     kappa*=-16.377204188 (2-phase diff 1.8e-26)  kappa(ped/A)=4.84279476  min ped1 sign=+  k404-ratio phase diff=8.38e-27
   a/b=8     kappa*=-30.3533513455 (2-phase diff 1.3e-25)  kappa(ped/A)=6.207396684  min ped1 sign=+  k404-ratio phase diff=1.43e-27

== N=14 tau=3  (N mod 4 = 2)
   a/b=1.02  kappa*=1.62393117726 (2-phase diff 1.6e-28)  kappa(ped/A)=0.615613033  min ped1 sign=+  k404-ratio phase diff=4.71e-29
   a/b=1.05  kappa*=1.6054221223 (2-phase diff 1.5e-28)  kappa(ped/A)=0.6217852723  min ped1 sign=+  k404-ratio phase diff=4.81e-29
   a/b=1.1   kappa*=1.57332622946 (2-phase diff 9.5e-29)  kappa(ped/A)=0.6311745482  min ped1 sign=+  k404-ratio phase diff=3.37e-29
   a/b=1.2   kappa*=1.50432888525 (2-phase diff 3.2e-28)  kappa(ped/A)=0.6469192518  min ped1 sign=+  k404-ratio phase diff=1.16e-28
   a/b=1.3   kappa*=1.4287129077 (2-phase diff 4.3e-27)  kappa(ped/A)=0.6591708519  min ped1 sign=+  k404-ratio phase diff=6.98e-28
   a/b=1.4   kappa*=1.34625709931 (2-phase diff 2.4e-28)  kappa(ped/A)=0.6685027015  min ped1 sign=+  k404-ratio phase diff=1.39e-28
   a/b=1.5   kappa*=1.25677114479 (2-phase diff 1.5e-28)  kappa(ped/A)=0.6753976392  min ped1 sign=+  k404-ratio phase diff=1.12e-28
   a/b=1.6   kappa*=1.1600901307 (2-phase diff 8.4e-29)  kappa(ped/A)=0.6802606154  min ped1 sign=+  k404-ratio phase diff=9.22e-29
   a/b=1.7   kappa*=1.05607014073 (2-phase diff 1.7e-27)  kappa(ped/A)=0.6834304757  min ped1 sign=+  k404-ratio phase diff=1.12e-27
   a/b=1.8   kappa*=0.944584716061 (2-phase diff 1.2e-28)  kappa(ped/A)=0.685190453  min ped1 sign=+  k404-ratio phase diff=1.2e-28
   a/b=1.9   kappa*=0.825522003719 (2-phase diff 5.4e-27)  kappa(ped/A)=0.6857772502  min ped1 sign=+  k404-ratio phase diff=4.79e-27
   a/b=2     kappa*=0.69878244971 (2-phase diff 3.0e-27)  kappa(ped/A)=0.6853887645  min ped1 sign=+  k404-ratio phase diff=3.14e-27
   a/b=2.2   kappa*=0.421925183949 (2-phase diff 5.1e-28)  kappa(ped/A)=0.6823214047  min ped1 sign=+  k404-ratio phase diff=1.27e-27
   a/b=2.5   kappa*=-0.0529013778518 (2-phase diff 4.0e-27)  kappa(ped/A)=0.6737609444  min ped1 sign=+  k404-ratio phase diff=7.55e-26
   *** sign change of kappa* between previous ratio and a/b=2.5
   a/b=3     kappa*=-1.00687504074 (2-phase diff 1.0e-26)  kappa(ped/A)=0.6539331458  min ped1 sign=+  k404-ratio phase diff=1.17e-26
   a/b=3.5   kappa*=-2.16874280909 (2-phase diff 1.3e-26)  kappa(ped/A)=0.6315684723  min ped1 sign=+  k404-ratio phase diff=7.67e-27
   a/b=4     kappa*=-3.54248664659 (2-phase diff 1.0e-26)  kappa(ped/A)=0.6090983494  min ped1 sign=+  k404-ratio phase diff=3.72e-27
   a/b=5     kappa*=-6.93699180341 (2-phase diff 3.1e-26)  kappa(ped/A)=0.5673129718  min ped1 sign=+  k404-ratio phase diff=5.27e-27
   a/b=6     kappa*=-11.2079240971 (2-phase diff 4.5e-27)  kappa(ped/A)=0.5310630436  min ped1 sign=+  k404-ratio phase diff=1.35e-27
   a/b=8     kappa*=-22.4244173238 (2-phase diff 2.9e-26)  kappa(ped/A)=0.4732975608  min ped1 sign=+  k404-ratio phase diff=4.17e-28

== N=14 tau=5  (N mod 4 = 2)
   a/b=1.02  kappa*=5.68095959958 (2-phase diff 4.7e-29)  kappa(ped/A)=0.1760368084  min ped1 sign=+  k404-ratio phase diff=7.63e-30
   a/b=1.05  kappa*=6.30254278047 (2-phase diff 9.3e-29)  kappa(ped/A)=0.1587350027  min ped1 sign=+  k404-ratio phase diff=5.09e-30
   a/b=1.1   kappa*=7.54009306693 (2-phase diff 4.1e-28)  kappa(ped/A)=0.1329059842  min ped1 sign=+  k404-ratio phase diff=5.34e-30
   a/b=1.2   kappa*=10.9124386482 (2-phase diff 1.1e-26)  kappa(ped/A)=0.09259545251  min ped1 sign=+  k404-ratio phase diff=1.37e-27
   a/b=1.3   kappa*=15.7630168047 (2-phase diff 1.2e-26)  kappa(ped/A)=0.0650542964  min ped1 sign=+  k404-ratio phase diff=6.9e-28
   a/b=1.4   kappa*=22.4716770355 (2-phase diff 1.4e-26)  kappa(ped/A)=0.04655626646  min ped1 sign=+  k404-ratio phase diff=9.34e-28
   a/b=1.5   kappa*=31.4773314131 (2-phase diff 6.0e-26)  kappa(ped/A)=0.03404080213  min ped1 sign=+  k404-ratio phase diff=4.28e-27
   a/b=1.6   kappa*=43.2862096135 (2-phase diff 1.4e-25)  kappa(ped/A)=0.02542187626  min ped1 sign=+  k404-ratio phase diff=1.17e-26
   a/b=1.7   kappa*=58.477525082 (2-phase diff 2.3e-25)  kappa(ped/A)=0.01936047517  min ped1 sign=+  k404-ratio phase diff=2.13e-26
   a/b=1.8   kappa*=77.7082700128 (2-phase diff 4.1e-26)  kappa(ped/A)=0.01500686665  min ped1 sign=+  k404-ratio phase diff=4.41e-27
   a/b=1.9   kappa*=101.717810903 (2-phase diff 3.0e-25)  kappa(ped/A)=0.01181708898  min ped1 sign=+  k404-ratio phase diff=4.35e-26
   a/b=2     kappa*=131.332485705 (2-phase diff 3.3e-25)  kappa(ped/A)=0.009436990241  min ped1 sign=+  k404-ratio phase diff=7.19e-26
   a/b=2.2   kappa*=211.145340772 (2-phase diff 1.4e-26)  kappa(ped/A)=0.006241036226  min ped1 sign=+  k404-ratio phase diff=2.25e-26
   a/b=2.5   kappa*=399.080873307 (2-phase diff 2.3e-24)  kappa(ped/A)=0.003613384115  min ped1 sign=+  k404-ratio phase diff=1.86e-25
   a/b=3     kappa*=989.13332268 (2-phase diff 1.5e-23)  kappa(ped/A)=0.001678941613  min ped1 sign=+  k404-ratio phase diff=2.38e-25
   a/b=3.5   kappa*=2130.96150269 (2-phase diff 5.1e-22)  kappa(ped/A)=0.0008861162563  min ped1 sign=+  k404-ratio phase diff=2.41e-24
   a/b=4     kappa*=4144.05386371 (2-phase diff 1.2e-21)  kappa(ped/A)=0.0005119143409  min ped1 sign=+  k404-ratio phase diff=2.24e-24
   a/b=5     kappa*=12602.0114537 (2-phase diff 2.0e-20)  kappa(ped/A)=0.0002061278405  min ped1 sign=+  k404-ratio phase diff=8.64e-24
   a/b=6     kappa*=31288.9851698 (2-phase diff 1.1e-19)  kappa(ped/A)=9.849017524e-5  min ped1 sign=+  k404-ratio phase diff=1.71e-23
   a/b=8     kappa*=131533.954413 (2-phase diff 6.0e-18)  kappa(ped/A)=3.087828196e-5  min ped1 sign=+  k404-ratio phase diff=1.93e-22

== N=16 tau=1  (N mod 4 = 0)
   a/b=1.02  kappa*=1.01940296904 (2-phase diff 8.3e-29)  kappa(ped/A')=0.9430843276  min ped1 sign=+  k404-ratio phase diff=5.19e-21
   a/b=1.05  kappa*=0.988427995614 (2-phase diff 1.1e-28)  kappa(ped/A')=0.9696511433  min ped1 sign=+  k404-ratio phase diff=8.75e-18
   a/b=1.1   kappa*=0.934851004514 (2-phase diff 5.6e-28)  kappa(ped/A')=1.013751457  min ped1 sign=+  k404-ratio phase diff=2.39e-15
   a/b=1.2   kappa*=0.820349591438 (2-phase diff 1.1e-28)  kappa(ped/A')=1.101301274  min ped1 sign=+  k404-ratio phase diff=5.71e-13
   a/b=1.3   kappa*=0.696010879731 (2-phase diff 4.0e-28)  kappa(ped/A')=1.188012092  min ped1 sign=+  k404-ratio phase diff=1.19e-11
   a/b=1.4   kappa*=0.56179717691 (2-phase diff 1.3e-28)  kappa(ped/A')=1.273917657  min ped1 sign=+  k404-ratio phase diff=9.01e-11
   a/b=1.5   kappa*=0.417680122729 (2-phase diff 4.5e-28)  kappa(ped/A')=1.35905043  min ped1 sign=+  k404-ratio phase diff=3.86e-10
   a/b=1.6   kappa*=0.263638049803 (2-phase diff 4.1e-28)  kappa(ped/A')=1.443441344  min ped1 sign=+  k404-ratio phase diff=1.14e-9
   a/b=1.7   kappa*=0.0996541870966 (2-phase diff 1.6e-28)  kappa(ped/A')=1.527119697  min ped1 sign=+  k404-ratio phase diff=2.6e-9
   a/b=1.8   kappa*=-0.074284592268 (2-phase diff 9.8e-28)  kappa(ped/A')=1.610113147  min ped1 sign=+  k404-ratio phase diff=4.81e-9
   *** sign change of kappa* between previous ratio and a/b=1.8
   a/b=1.9   kappa*=-0.258188661966 (2-phase diff 3.7e-28)  kappa(ped/A')=1.692447744  min ped1 sign=+  k404-ratio phase diff=7.47e-9
   a/b=2     kappa*=-0.452066287972 (2-phase diff 2.5e-28)  kappa(ped/A')=1.774148004  min ped1 sign=+  k404-ratio phase diff=9.84e-9
   a/b=2.2   kappa*=-0.869767465132 (2-phase diff 3.1e-28)  kappa(ped/A')=1.935736378  min ped1 sign=+  k404-ratio phase diff=9.08e-9
   a/b=2.5   kappa*=-1.57125042671 (2-phase diff 2.0e-28)  kappa(ped/A')=2.173895344  min ped1 sign=+  k404-ratio phase diff=1.74e-8
   a/b=3     kappa*=-2.94038034001 (2-phase diff 7.3e-29)  kappa(ped/A')=2.560726872  min ped1 sign=+  k404-ratio phase diff=6.3e-8
   a/b=3.5   kappa*=-4.55964097627 (2-phase diff 5.7e-29)  kappa(ped/A')=2.936470084  min ped1 sign=+  k404-ratio phase diff=1.48e-6
   a/b=4     kappa*=-6.42909952666 (2-phase diff 1.5e-28)  kappa(ped/A')=3.302531303  min ped1 sign=+  k404-ratio phase diff=6.41e-6
   a/b=5     kappa*=-10.9186683594 (2-phase diff 2.0e-28)  kappa(ped/A')=4.009829972  min ped1 sign=+  k404-ratio phase diff=3.32e-5
   a/b=6     kappa*=-16.4090639836 (2-phase diff 9.2e-29)  kappa(ped/A')=4.689232824  min ped1 sign=+  k404-ratio phase diff=8.03e-5
   a/b=8     kappa*=-30.3919327286 (2-phase diff 1.4e-25)  kappa(ped/A')=5.981429519  min ped1 sign=+  k404-ratio phase diff=0.000169

== N=16 tau=3  (N mod 4 = 0)
   a/b=1.02  kappa*=1.43029811962 (2-phase diff 6.1e-29)  kappa(ped/A')=0.4831483281  min ped1 sign=+  k404-ratio phase diff=7.77e-20
   a/b=1.05  kappa*=1.40547985895 (2-phase diff 1.1e-29)  kappa(ped/A')=0.4905872006  min ped1 sign=+  k404-ratio phase diff=1.38e-16
   a/b=1.1   kappa*=1.36256923461 (2-phase diff 3.8e-27)  kappa(ped/A')=0.502083125  min ped1 sign=+  k404-ratio phase diff=3.89e-14
   a/b=1.2   kappa*=1.27080735764 (2-phase diff 5.1e-30)  kappa(ped/A')=0.5219573648  min ped1 sign=+  k404-ratio phase diff=9.05e-12
   a/b=1.3   kappa*=1.17090117252 (2-phase diff 1.5e-28)  kappa(ped/A')=0.538138069  min ped1 sign=+  k404-ratio phase diff=1.72e-10
   a/b=1.4   kappa*=1.06262637538 (2-phase diff 9.3e-29)  kappa(ped/A')=0.5511322731  min ped1 sign=+  k404-ratio phase diff=1.12e-9
   a/b=1.5   kappa*=0.945798583563 (2-phase diff 2.1e-28)  kappa(ped/A')=0.5613888302  min ped1 sign=+  k404-ratio phase diff=3.82e-9
   a/b=1.6   kappa*=0.820264673612 (2-phase diff 6.8e-29)  kappa(ped/A')=0.569300246  min ped1 sign=+  k404-ratio phase diff=8.13e-9
   a/b=1.7   kappa*=0.685896271786 (2-phase diff 1.6e-29)  kappa(ped/A')=0.5752070097  min ped1 sign=+  k404-ratio phase diff=1.08e-8
   a/b=1.8   kappa*=0.542584805305 (2-phase diff 2.7e-29)  kappa(ped/A')=0.5794029424  min ped1 sign=+  k404-ratio phase diff=5.74e-9
   a/b=1.9   kappa*=0.390237698366 (2-phase diff 3.6e-30)  kappa(ped/A')=0.5821407436  min ped1 sign=+  k404-ratio phase diff=1.11e-8
   a/b=2     kappa*=0.228775417307 (2-phase diff 1.0e-28)  kappa(ped/A')=0.5836372987  min ped1 sign=+  k404-ratio phase diff=3.21e-8
   a/b=2.2   kappa*=-0.121761017028 (2-phase diff 6.2e-29)  kappa(ped/A')=0.5836237904  min ped1 sign=+  k404-ratio phase diff=7.1e-8
   *** sign change of kappa* between previous ratio and a/b=2.2
   a/b=2.5   kappa*=-0.717389695204 (2-phase diff 7.4e-28)  kappa(ped/A')=0.5781538561  min ped1 sign=+  k404-ratio phase diff=2.13e-6
   a/b=3     kappa*=-1.89886100674 (2-phase diff 8.5e-29)  kappa(ped/A')=0.5606466494  min ped1 sign=+  k404-ratio phase diff=2.16e-5
   a/b=3.5   kappa*=-3.31908883153 (2-phase diff 5.6e-26)  kappa(ped/A')=0.538427231  min ped1 sign=+  k404-ratio phase diff=7.04e-5
   a/b=4     kappa*=-4.9802190581 (2-phase diff 7.3e-27)  kappa(ped/A')=0.5149361263  min ped1 sign=+  k404-ratio phase diff=0.000133
   a/b=5     kappa*=-9.03054128764 (2-phase diff 2.7e-26)  kappa(ped/A')=0.4697155947  min ped1 sign=+  k404-ratio phase diff=0.000171
   a/b=6     kappa*=-14.0572481843 (2-phase diff 2.8e-26)  kappa(ped/A')=0.4297498271  min ped1 sign=+  k404-ratio phase diff=1.74e-5
   a/b=8     kappa*=-27.0557322508 (2-phase diff 4.3e-26)  kappa(ped/A')=0.3659562408  min ped1 sign=+  k404-ratio phase diff=0.000769

== N=16 tau=5  (N mod 4 = 0)
   a/b=1.02  kappa*=3.32212480114 (2-phase diff 2.2e-28)  kappa(ped/A')=0.09285276176  min ped1 sign=+  k404-ratio phase diff=6.21e-17
   a/b=1.05  kappa*=3.45307993126 (2-phase diff 2.3e-28)  kappa(ped/A')=0.08905836132  min ped1 sign=+  k404-ratio phase diff=1.23e-13
   a/b=1.1   kappa*=3.69223648766 (2-phase diff 1.7e-28)  kappa(ped/A')=0.08246391924  min ped1 sign=+  k404-ratio phase diff=3.27e-11
   a/b=1.2   kappa*=4.25474483359 (2-phase diff 5.0e-28)  kappa(ped/A')=0.06921681393  min ped1 sign=+  k404-ratio phase diff=3.86e-9
   a/b=1.3   kappa*=4.94032465705 (2-phase diff 2.9e-27)  kappa(ped/A')=0.05703646501  min ped1 sign=+  k404-ratio phase diff=6.92e-9
   a/b=1.4   kappa*=5.76214284823 (2-phase diff 6.5e-27)  kappa(ped/A')=0.04655618003  min ped1 sign=+  k404-ratio phase diff=2.72e-8
   a/b=1.5   kappa*=6.73373368768 (2-phase diff 7.3e-27)  kappa(ped/A')=0.03787529124  min ped1 sign=+  k404-ratio phase diff=1.25e-6
   a/b=1.6   kappa*=7.86907516032 (2-phase diff 1.9e-26)  kappa(ped/A')=0.03083474335  min ped1 sign=+  k404-ratio phase diff=9.41e-6
   a/b=1.7   kappa*=9.1826032279 (2-phase diff 1.1e-26)  kappa(ped/A')=0.02518450414  min ped1 sign=+  k404-ratio phase diff=3.25e-5
   a/b=1.8   kappa*=10.689194928 (2-phase diff 6.6e-26)  kappa(ped/A')=0.02066795193  min ped1 sign=+  k404-ratio phase diff=7.33e-5
   a/b=1.9   kappa*=12.404139733 (2-phase diff 2.9e-26)  kappa(ped/A')=0.01705700603  min ped1 sign=+  k404-ratio phase diff=0.000124
   a/b=2     kappa*=14.3431090836 (2-phase diff 1.0e-25)  kappa(ped/A')=0.01416217501  min ped1 sign=+  k404-ratio phase diff=0.000166
   a/b=2.2   kappa*=18.957552163 (2-phase diff 4.6e-26)  kappa(ped/A')=0.009945097202  min ped1 sign=+  k404-ratio phase diff=0.000151
   a/b=2.5   kappa*=27.9703292722 (2-phase diff 3.8e-26)  kappa(ped/A')=0.006116981551  min ped1 sign=+  k404-ratio phase diff=0.00023
   a/b=3     kappa*=49.7290180425 (2-phase diff 2.5e-24)  kappa(ped/A')=0.003013122663  min ped1 sign=+  k404-ratio phase diff=0.00111
   a/b=3.5   kappa*=81.8948691425 (2-phase diff 2.9e-24)  kappa(ped/A')=0.00164262224  min ped1 sign=+  k404-ratio phase diff=0.000782
   a/b=4     kappa*=126.87966259 (2-phase diff 1.2e-24)  kappa(ped/A')=0.0009678933653  min ped1 sign=+  k404-ratio phase diff=0.0013
   a/b=5     kappa*=265.544376173 (2-phase diff 1.6e-23)  kappa(ped/A')=0.0003983424429  min ped1 sign=+  k404-ratio phase diff=0.00843
   a/b=6     kappa*=487.242881967 (2-phase diff 1.2e-22)  kappa(ped/A')=0.0001924715655  min ped1 sign=+  k404-ratio phase diff=0.015
   a/b=8     kappa*=1273.18185763 (2-phase diff 8.0e-22)  kappa(ped/A')=6.098395176e-5  min ped1 sign=+  k404-ratio phase diff=0.0171

== N=16 tau=7  (N mod 4 = 0)
   a/b=1.02  kappa*=43.7530568964 (2-phase diff 2.6e-27)  kappa(ped/A')=0.0008408574651  min ped1 sign=+  k404-ratio phase diff=1.65e-9
   a/b=1.05  kappa*=97.1166065066 (2-phase diff 2.0e-25)  kappa(ped/A')=0.0003260191666  min ped1 sign=+  k404-ratio phase diff=4.05e-7
   a/b=1.1   kappa*=334.943816761 (2-phase diff 2.8e-25)  kappa(ped/A')=6.565723883e-5  min ped1 sign=+  k404-ratio phase diff=0.00017
   a/b=1.2   kappa*=2546.31531826 (2-phase diff 5.2e-24)  kappa(ped/A')=4.027179738e-6  min ped1 sign=+  k404-ratio phase diff=0.00112
   a/b=1.3   kappa*=13008.9756074 (2-phase diff 2.8e-22)  kappa(ped/A')=3.9748932e-7  min ped1 sign=+  k404-ratio phase diff=0.00756
   a/b=1.4   kappa*=52033.2062976 (2-phase diff 1.5e-20)  kappa(ped/A')=5.416559767e-8  min ped1 sign=+  k404-ratio phase diff=0.0178
   a/b=1.5   kappa*=175894.936928 (2-phase diff 1.1e-20)  kappa(ped/A')=9.302093418e-9  min ped1 sign=+  k404-ratio phase diff=0.0123
   a/b=1.6   kappa*=524826.841102 (2-phase diff 5.0e-18)  kappa(ped/A')=1.904618034e-9  min ped1 sign=+  k404-ratio phase diff=0.014
   a/b=1.7   kappa*=1420525.49505 (2-phase diff 1.1e-16)  kappa(ped/A')=4.483217083e-10  min ped1 sign=+  k404-ratio phase diff=0.0569
   a/b=1.8   kappa*=3553169.19265 (2-phase diff 3.7e-16)  kappa(ped/A')=1.182731951e-10  min ped1 sign=+  k404-ratio phase diff=0.109
   a/b=1.9   kappa*=8323283.77114 (2-phase diff 2.7e-15)  kappa(ped/A')=3.432604169e-11  min ped1 sign=+  k404-ratio phase diff=0.166
   a/b=2     kappa*=18441641.6836 (2-phase diff 2.3e-15)  kappa(ped/A')=1.080640517e-11  min ped1 sign=+  k404-ratio phase diff=0.223
   a/b=2.2   kappa*=78867430.8129 (2-phase diff 1.4e-13)  kappa(ped/A')=1.311068233e-12  min ped1 sign=+  k404-ratio phase diff=0.327
   a/b=2.5   kappa*=532580073.91 (2-phase diff 6.2e-11)  kappa(ped/A')=8.234633391e-14  min ped1 sign=+  k404-ratio phase diff=0.451
   a/b=3     kappa*=7697318478.78 (2-phase diff 9.7e-9)  kappa(ped/A')=1.734311291e-15  min ped1 sign=+  k404-ratio phase diff=0.586
   a/b=3.5   kappa*=71283048543.7 (2-phase diff 1.4e-7)  kappa(ped/A')=7.009250073e-17  min ped1 sign=+  k404-ratio phase diff=0.665
   a/b=4     kappa*=482299737731.0 (2-phase diff 9.1e-6)  kappa(ped/A')=4.477323818e-18  min ped1 sign=+  k404-ratio phase diff=0.714
   a/b=5: lambda not found
   a/b=6: lambda not found
   a/b=8: lambda not found
