{
  "method": "exact rational public API and JSON CLI checks",
  "checks_passed": 97,
  "failures": 0,
  "cases": [
    {
      "name": "scalar feedback",
      "h": 0,
      "b": "4",
      "beta": "4"
    },
    {
      "name": "fractional three-cycle",
      "h": 2,
      "b": "2/3",
      "beta": "2/3"
    },
    {
      "name": "two-cycle feedback",
      "h": 1,
      "b": "1",
      "beta": "1"
    },
    {
      "name": "protected signed cancellation",
      "h": 1,
      "b": "infinity",
      "beta": "infinity"
    },
    {
      "name": "graph feedback canceled exactly",
      "h": 1,
      "b": "infinity",
      "beta": "3"
    },
    {
      "name": "transient before spectral feedback",
      "h": 1,
      "b": "8/3",
      "beta": "2"
    },
    {
      "name": "logarithmic-window counterexample",
      "h": 1,
      "b": "2",
      "beta": "2"
    },
    {
      "name": "zero family",
      "h": 0,
      "b": "infinity",
      "beta": "infinity"
    }
  ]
}