{
  "checks_passed": 110,
  "cases": [
    {
      "complex_normal_rank": 2,
      "orientation_real_dimension": 2,
      "unit_geodesic_curvature_gram_eigenvalues": {
        "0": 1,
        "1": 1
      }
    },
    {
      "complex_normal_rank": 3,
      "orientation_real_dimension": 6,
      "unit_geodesic_curvature_gram_eigenvalues": {
        "0": 1,
        "1": 1,
        "1/4": 4
      }
    },
    {
      "complex_normal_rank": 4,
      "orientation_real_dimension": 12,
      "unit_geodesic_curvature_gram_eigenvalues": {
        "0": 3,
        "1": 1,
        "1/4": 8
      }
    }
  ],
  "occupied_cases": [
    {
      "real_depth": 2,
      "even_carrier": 2,
      "complex_normal_rank": 4,
      "hodge_coefficient": 0
    },
    {
      "real_depth": 3,
      "even_carrier": 4,
      "complex_normal_rank": 3,
      "hodge_coefficient": 1
    },
    {
      "real_depth": 4,
      "even_carrier": 4,
      "complex_normal_rank": 3,
      "hodge_coefficient": 1
    },
    {
      "real_depth": 5,
      "even_carrier": 6,
      "complex_normal_rank": 2,
      "hodge_coefficient": 0
    },
    {
      "real_depth": 6,
      "even_carrier": 6,
      "complex_normal_rank": 2,
      "hodge_coefficient": 0
    },
    {
      "real_depth": 10,
      "even_carrier": 10,
      "complex_normal_rank": 0,
      "hodge_coefficient": 0
    }
  ],
  "sources": {
    "experiments/canonical-orientation-action-checks.py": "558fef66e5251e2c77c68da1b8d7cbc10a77fea54599d2160e7dbee50be9f523"
  },
  "scope": "Exact frozen principal symbol on a static single-geodesic orientation background; no general hyperbolicity, particle solution or fixed-flux guide existence claim"
}