==== eps=0.05, c=1.0; sup|F| = 2 pi eps = 0.3142
  E_eps      : N=6 |D-D*|=8.5e-19 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [1.758e-14 2.739e-14 2.860e-14 4.314e-14 6.283e+00 6.283e+00 6.283e+00
 6.283e+00]
   dim ker D (|lambda|<1e-08) = 4  (tau=+1: 2, tau=-1: 2)
  f^*E_eps   : N=6 |D-D*|=8.5e-19 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [0.025 0.025 0.025 0.025 6.258 6.258 6.258 6.258]
   dim ker D (|lambda|<1e-08) = 0  (tau=+1: 0, tau=-1: 0)
  E_eps      : N=9 |D-D*|=8.5e-19 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [3.129e-16 1.062e-14 1.629e-14 2.891e-14 6.283e+00 6.283e+00 6.283e+00
 6.283e+00]
   dim ker D (|lambda|<1e-08) = 4  (tau=+1: 2, tau=-1: 2)
  f^*E_eps   : N=9 |D-D*|=8.5e-19 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [0.025 0.025 0.025 0.025 6.258 6.258 6.258 6.258]
   dim ker D (|lambda|<1e-08) = 0  (tau=+1: 0, tau=-1: 0)
   prediction for f^*E_eps: smallest |eig| ~ eps*c/2 = 0.025
==== eps=0.01, c=1.0; sup|F| = 2 pi eps = 0.06283
  E_eps      : N=6 |D-D*|=1.8e-18 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [2.268e-15 1.030e-14 1.135e-14 3.139e-14 6.283e+00 6.283e+00 6.283e+00
 6.283e+00]
   dim ker D (|lambda|<1e-08) = 4  (tau=+1: 2, tau=-1: 2)
  f^*E_eps   : N=6 |D-D*|=1.8e-18 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [5.000e-03 5.000e-03 5.000e-03 5.000e-03 6.278e+00 6.278e+00 6.278e+00
 6.278e+00]
   dim ker D (|lambda|<1e-08) = 0  (tau=+1: 0, tau=-1: 0)
  E_eps      : N=9 |D-D*|=1.8e-18 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [5.814e-15 1.022e-14 1.789e-14 1.821e-14 6.283e+00 6.283e+00 6.283e+00
 6.283e+00]
   dim ker D (|lambda|<1e-08) = 4  (tau=+1: 2, tau=-1: 2)
  f^*E_eps   : N=9 |D-D*|=1.8e-18 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [5.000e-03 5.000e-03 5.000e-03 5.000e-03 6.278e+00 6.278e+00 6.278e+00
 6.278e+00]
   dim ker D (|lambda|<1e-08) = 0  (tau=+1: 0, tau=-1: 0)
   prediction for f^*E_eps: smallest |eig| ~ eps*c/2 = 0.005
==== eps=0.2, c=0.7; sup|F| = 2 pi eps = 1.257
  E_eps      : N=6 |D-D*|=3.4e-18 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [1.912e-15 1.260e-14 1.479e-14 3.272e-14 6.277e+00 6.277e+00 6.277e+00
 6.277e+00]
   dim ker D (|lambda|<1e-08) = 4  (tau=+1: 2, tau=-1: 2)
  f^*E_eps   : N=6 |D-D*|=3.4e-18 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [0.07  0.07  0.07  0.07  6.215 6.215 6.215 6.215]
   dim ker D (|lambda|<1e-08) = 0  (tau=+1: 0, tau=-1: 0)
  E_eps      : N=9 |D-D*|=3.4e-18 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [5.302e-15 2.586e-14 7.142e-14 7.175e-14 6.277e+00 6.277e+00 6.277e+00
 6.277e+00]
   dim ker D (|lambda|<1e-08) = 4  (tau=+1: 2, tau=-1: 2)
  f^*E_eps   : N=9 |D-D*|=3.4e-18 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [0.07  0.07  0.07  0.07  6.215 6.215 6.215 6.215]
   dim ker D (|lambda|<1e-08) = 0  (tau=+1: 0, tau=-1: 0)
   prediction for f^*E_eps: smallest |eig| ~ eps*c/2 = 0.07
==== eps=0.001, c=2.0; sup|F| = 2 pi eps = 0.006283
  E_eps      : N=6 |D-D*|=1.3e-20 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [2.269e-15 3.699e-15 1.384e-14 2.368e-14 6.283e+00 6.283e+00 6.283e+00
 6.283e+00]
   dim ker D (|lambda|<1e-08) = 4  (tau=+1: 2, tau=-1: 2)
  f^*E_eps   : N=6 |D-D*|=3.0e-20 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [1.000e-03 1.000e-03 1.000e-03 1.000e-03 6.282e+00 6.282e+00 6.282e+00
 6.282e+00]
   dim ker D (|lambda|<1e-08) = 0  (tau=+1: 0, tau=-1: 0)
  E_eps      : N=9 |D-D*|=1.6e-20 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [3.024e-15 3.329e-15 2.717e-14 3.376e-14 6.283e+00 6.283e+00 6.283e+00
 6.283e+00]
   dim ker D (|lambda|<1e-08) = 4  (tau=+1: 2, tau=-1: 2)
  f^*E_eps   : N=9 |D-D*|=3.0e-20 |D tau+tau D|=0.0e+00 |tau^2-1|=0.0e+00
   8 smallest |eigenvalues|: [1.000e-03 1.000e-03 1.000e-03 1.000e-03 6.282e+00 6.282e+00 6.282e+00
 6.282e+00]
   dim ker D (|lambda|<1e-08) = 0  (tau=+1: 0, tau=-1: 0)
   prediction for f^*E_eps: smallest |eig| ~ eps*c/2 = 0.001
