{
  "epsilon_0": 0.125,
  "q": 1.125,
  "L": 0.75,
  "U": 1.25,
  "annuli": [
    {
      "n": -2,
      "lower": 0.5925925925925926,
      "upper": 0.9876543209876543
    },
    {
      "n": -1,
      "lower": 0.6666666666666666,
      "upper": 1.1111111111111112
    },
    {
      "n": 0,
      "lower": 0.75,
      "upper": 1.25
    },
    {
      "n": 1,
      "lower": 0.84375,
      "upper": 1.40625
    },
    {
      "n": 2,
      "lower": 0.94921875,
      "upper": 1.58203125
    }
  ],
  "diagram": "Exact symbolic pump energies and original physical force; no sampled flow"
}