{
  "R": 1.4,
  "c": 2.6,
  "T": 6.0,
  "alpha": 0.5,
  "beta": 0.75,
  "theta0": 1.8,
  "phi_T": 1.1226081908154653,
  "psi_T": 2.9060884168689936,
  "vertical_endpoints": [
    [
      2.6,
      -5.407402333838309
    ],
    [
      2.6,
      5.407402333838309
    ]
  ],
  "left_ray_endpoints": [
    [
      -5.834380858325929,
      -1.4
    ],
    [
      -5.834380858325929,
      1.4
    ]
  ],
  "k0": 0.2190066870930415,
  "b0": 0.2272020946930871,
  "equations": [
    "vertical Re w=c upward",
    "lower ray w=-t-iR, t from infinity to 0",
    "right semicircle w=R exp(i theta), -pi/2 to pi/2",
    "upper ray w=-t+iR, t from 0 to infinity"
  ],
  "interpretation": "Illustrative parameters; exact contour equations and proof locators."
}