{
  "parameterization": "unit direction = ((1-t^2)/(1+t^2), 2t/(1+t^2))",
  "shapes": [
    {
      "x": {
        "numerator": 0,
        "denominator": 1
      },
      "y": {
        "numerator": 0,
        "denominator": 1
      },
      "radius": {
        "numerator": 1,
        "denominator": 1
      },
      "half_angle_t1": {
        "numerator": -3,
        "denominator": 100
      },
      "half_angle_t2": {
        "numerator": 3,
        "denominator": 100
      }
    },
    {
      "x": {
        "numerator": -47,
        "denominator": 200
      },
      "y": {
        "numerator": -141,
        "denominator": 1000
      },
      "radius": {
        "numerator": 1241,
        "denominator": 1000
      },
      "half_angle_t1": {
        "numerator": 4,
        "denominator": 125
      },
      "half_angle_t2": {
        "numerator": 43,
        "denominator": 500
      }
    },
    {
      "x": {
        "numerator": 689,
        "denominator": 200
      },
      "y": {
        "numerator": 413,
        "denominator": 250
      },
      "radius": {
        "numerator": 1573,
        "denominator": 500
      },
      "half_angle_t1": {
        "numerator": -3301,
        "denominator": 1000
      },
      "half_angle_t2": {
        "numerator": -21,
        "denominator": 250
      }
    },
    {
      "x": {
        "numerator": 1223,
        "denominator": 1000
      },
      "y": {
        "numerator": 941,
        "denominator": 1000
      },
      "radius": {
        "numerator": 519,
        "denominator": 500
      },
      "half_angle_t1": {
        "numerator": -1263,
        "denominator": 1000
      },
      "half_angle_t2": {
        "numerator": -7,
        "denominator": 200
      }
    }
  ],
  "pair_count_multiset": [
    7,
    7,
    8,
    8,
    8,
    8
  ],
  "crossings": 46,
  "regions": 55
}