{
 "aL": 1.954567929983901,
 "rows": [
  {
   "theta": 20,
   "omega": 20,
   "C": 0.22864101426058492,
   "y_turn": 0.3244379852470654,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.9555847685659872,
   "dx_geo": 0.9597771356014759,
   "rel_err": -0.004368063042949516,
   "phase_minus_wkb": 0.06309671621885964
  },
  {
   "theta": 20,
   "omega": 40,
   "C": 0.22864101426058492,
   "y_turn": 0.3244379852470654,
   "abs_r_minus_1": -1.1102230246251565e-16,
   "D_wave": 0.9497527688801591,
   "dx_geo": 0.9597771356014759,
   "rel_err": -0.010444473356863927,
   "phase_minus_wkb": 0.014901658672572907
  },
  {
   "theta": 20,
   "omega": 80,
   "C": 0.22864101426058492,
   "y_turn": 0.3244379852470654,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.9628209296234768,
   "dx_geo": 0.9597771356014759,
   "rel_err": 0.0031713550042983055,
   "phase_minus_wkb": 0.014860450670514991
  },
  {
   "theta": 20,
   "omega": 160,
   "C": 0.22864101426058492,
   "y_turn": 0.3244379852470654,
   "abs_r_minus_1": 2.220446049250313e-16,
   "D_wave": 0.9585409430442986,
   "dx_geo": 0.9597771356014759,
   "rel_err": -0.0012879995900325636,
   "phase_minus_wkb": 0.007620967990372188
  },
  {
   "theta": 20,
   "omega": 320,
   "C": 0.22864101426058492,
   "y_turn": 0.3244379852470654,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.9589294582104324,
   "dx_geo": 0.9597771356014759,
   "rel_err": -0.0008832023181217972,
   "phase_minus_wkb": 0.0013267626555809877
  },
  {
   "theta": 35,
   "omega": 20,
   "C": 0.6430331632155256,
   "y_turn": 0.5640292239546787,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.866185235238279,
   "dx_geo": 0.8815428484780867,
   "rel_err": -0.017421289579197956,
   "phase_minus_wkb": 0.07255368084691081
  },
  {
   "theta": 35,
   "omega": 40,
   "C": 0.6430331632155256,
   "y_turn": 0.5640292239546787,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.8741649660207739,
   "dx_geo": 0.8815428484780867,
   "rel_err": -0.008369284000261792,
   "phase_minus_wkb": 0.005091019711280624
  },
  {
   "theta": 35,
   "omega": 80,
   "C": 0.6430331632155256,
   "y_turn": 0.5640292239546787,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.8767639488625254,
   "dx_geo": 0.8815428484780867,
   "rel_err": -0.005421063336639524,
   "phase_minus_wkb": 0.017221036820181813
  },
  {
   "theta": 35,
   "omega": 160,
   "C": 0.6430331632155256,
   "y_turn": 0.5640292239546787,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.8806388636605774,
   "dx_geo": 0.8815428484780867,
   "rel_err": -0.001025457604324015,
   "phase_minus_wkb": 0.0007651960296093263
  },
  {
   "theta": 35,
   "omega": 320,
   "C": 0.6430331632155256,
   "y_turn": 0.5640292239546787,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.8797884590875209,
   "dx_geo": 0.8815428484780867,
   "rel_err": -0.0019901351291030695,
   "phase_minus_wkb": 0.003498020279363049
  },
  {
   "theta": 50,
   "omega": 20,
   "C": 1.1469875445759148,
   "y_turn": 0.7951710276828265,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.7324047423590955,
   "dx_geo": 0.7754303054838044,
   "rel_err": -0.05548604796644433,
   "phase_minus_wkb": 0.009529717185389223
  },
  {
   "theta": 50,
   "omega": 40,
   "C": 1.1469875445759148,
   "y_turn": 0.7951710276828265,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.7755096731159119,
   "dx_geo": 0.7754303054838044,
   "rel_err": 0.00010235301811934663,
   "phase_minus_wkb": 0.05691970187283225
  },
  {
   "theta": 50,
   "omega": 80,
   "C": 1.1469875445759148,
   "y_turn": 0.7951710276828265,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.7612971485141395,
   "dx_geo": 0.7754303054838044,
   "rel_err": -0.018226211781659684,
   "phase_minus_wkb": 0.012056144851754678
  },
  {
   "theta": 50,
   "omega": 160,
   "C": 1.1469875445759148,
   "y_turn": 0.7951710276828265,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.7825427841970151,
   "dx_geo": 0.7754303054838044,
   "rel_err": 0.009172299125932454,
   "phase_minus_wkb": 0.004997047002024949
  },
  {
   "theta": 50,
   "omega": 320,
   "C": 1.1469875445759148,
   "y_turn": 0.7951710276828265,
   "abs_r_minus_1": -1.1102230246251565e-16,
   "D_wave": 0.7789818973278307,
   "dx_geo": 0.7754303054838044,
   "rel_err": 0.004580156100309252,
   "phase_minus_wkb": 0.002599486579116489
  },
  {
   "theta": 65,
   "omega": 20,
   "C": 1.6054699888341097,
   "y_turn": 1.0060311056078934,
   "abs_r_minus_1": 2.220446049250313e-16,
   "D_wave": 0.6600118115659319,
   "dx_geo": 0.6067925847822556,
   "rel_err": 0.08770579621168861,
   "phase_minus_wkb": 0.1784391414428153
  },
  {
   "theta": 65,
   "omega": 40,
   "C": 1.6054699888341097,
   "y_turn": 1.0060311056078934,
   "abs_r_minus_1": 2.220446049250313e-16,
   "D_wave": 0.5494097878601515,
   "dx_geo": 0.6067925847822556,
   "rel_err": -0.0945673997362635,
   "phase_minus_wkb": 0.12899835356002495
  },
  {
   "theta": 65,
   "omega": 80,
   "C": 1.6054699888341097,
   "y_turn": 1.0060311056078934,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.6024282918151539,
   "dx_geo": 0.6067925847822556,
   "rel_err": -0.007192396671537817,
   "phase_minus_wkb": -0.0439078672940303
  },
  {
   "theta": 65,
   "omega": 160,
   "C": 1.6054699888341097,
   "y_turn": 1.0060311056078934,
   "abs_r_minus_1": 0.0,
   "D_wave": 0.5874393600607993,
   "dx_geo": 0.6067925847822556,
   "rel_err": -0.031894299974679303,
   "phase_minus_wkb": 0.014231015247913342
  },
  {
   "theta": 65,
   "omega": 320,
   "C": 1.6054699888341097,
   "y_turn": 1.0060311056078934,
   "abs_r_minus_1": -1.1102230246251565e-16,
   "D_wave": 0.6163384972101561,
   "dx_geo": 0.6067925847822556,
   "rel_err": 0.015731755244382202,
   "phase_minus_wkb": -0.0006279875669826035
  }
 ],
 "slopes": {
  "20": -0.7631891338769119,
  "35": -0.9288662603421762,
  "50": -0.0711654895938593,
  "65": -0.6526029400473958
 },
 "K1": 1.0,
 "K2": false,
 "K3": true,
 "control": 1.0,
 "control_max": 5.097535428440593e-13,
 "max_abs_r_dev": 2.220446049250313e-16
}