{
  "comparison_family": "6 low-complexity triangle centers x 17 deduplicated natural direction families; ordered distinct directions; invalid chords excluded",
  "centers": [
    "centroid",
    "incenter",
    "circumcenter",
    "orthocenter",
    "symmedian",
    "spieker"
  ],
  "directions": {
    "MRR_long": 66.60287381144487,
    "MRR_short": 156.60287381144485,
    "edge_PR": 65.5130143879919,
    "edge_PT": 100.76430199242523,
    "edge_RT": 26.573415204286217,
    "median_P": 79.32576828594202,
    "bisector_P": 83.13865819020997,
    "altitude_P": 116.57341520428622,
    "symmedian_P": 86.95154809447634,
    "median_R": 51.096276250603324,
    "bisector_R": 46.043214796136795,
    "altitude_R": 10.764301992425231,
    "symmedian_R": 40.99015334167218,
    "median_T": 150.44592452511705,
    "bisector_T": 153.6688585983555,
    "altitude_T": 155.51301438799192,
    "symmedian_T": 156.89179267159105
  },
  "valid_tests": 1340,
  "declared_rank": 1,
  "declared": {
    "rms_pp": 0.4559839048925569,
    "center": "spieker",
    "long_direction": "bisector_T",
    "transverse_direction": "MRR_long",
    "pL_pct": 73.13795852296725,
    "pT_pct": 51.20996869610895
  },
  "sadr_targets": {
    "pL_pct": 72.58259783440124,
    "pT_pct": 51.537714250827264
  },
  "status": "POST-DISCOVERY freedom diagnostic; not a prospective p-value",
  "legacy_source_transverse_pct": 51.59969,
  "legacy_note": "The older source-reported transverse value is not reproduced by this redistributed 2026 boundary and is not used by the final executable celestial gate."
}
PASS: declared Spieker construction ranks #1/1340 in the declared retrospective freedom library.
