{
  "model": "compact U(1)_k x U(1)_(-k), no common-center quotient, zero masses/FI",
  "level": 3,
  "decimal_precision": 50,
  "exact_grouped_assertions": 25,
  "dual_period": "2*pi",
  "residual_angle_over_2pi": [
    "0",
    "1/3",
    "2/3"
  ],
  "original_flux_examples": [
    {
      "node_flux": [
        1,
        0
      ],
      "b_flux": 1,
      "c_flux": 0,
      "sum_flux": 1
    },
    {
      "node_flux": [
        0,
        1
      ],
      "b_flux": -1,
      "c_flux": 1,
      "sum_flux": 1
    },
    {
      "node_flux": [
        1,
        1
      ],
      "b_flux": 0,
      "c_flux": 1,
      "sum_flux": 2
    }
  ],
  "projected_charges_in_test_window": [
    -6,
    -3,
    0,
    3,
    6
  ],
  "nonzero_orbit_size": 3,
  "nonzero_stabilizer_order": 1,
  "origin_stabilizer_order": 3,
  "pure_kth_powers_agree": true,
  "common_phase_equivalent": false,
  "mixed_invariant_X": "2",
  "mixed_invariant_Z": "2*w",
  "patch_coordinates_X": [
    "1",
    "2",
    "1 + I",
    "0"
  ],
  "covering_distance_squared_by_image": [
    "12.0",
    "21.0",
    "9.0"
  ],
  "quotient_distance_squared": "9.0",
  "quotient_distance": "3.0",
  "mode": "physical common phase",
  "wrong_independent_phases_detected": null,
  "target_gaussian_integral": "32.469697011334",
  "normalized_mixed_invariant_squared": "2.0",
  "gaussian_scaled_error": "0.0",
  "interpretation": "Exact orbit test decides equivalence; rounded distance is only geometric output."
}