{
  "date": "2026-09-08",
  "model": "Unsoftened Newtonian point masses, planar inertial coordinates, G=1",
  "interpretation": "Working labels are local research identifiers. Numerical evidence is not an interval-arithmetic existence proof, nonlinear KAM proof, or certification of worldwide priority.",
  "precision_note": "Decimal strings retain the 160-bit estimates. Independent 128-bit and 160-bit formulations agree to at least 30 decimal places in initial u,v,T and about 24 places in nontrivial multipliers; extra printed digits are not rigorous bounds.",
  "orbits": [
    {
      "working_label": "BH-1113",
      "G": "1",
      "masses": [
        "1",
        "1",
        "1"
      ],
      "positions": [
        [
          "-1",
          "0"
        ],
        [
          "0",
          "0"
        ],
        [
          "1",
          "0"
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      ],
      "velocities": [
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      "u": "0.18640103345114389457465735455600303841335258912006525252",
      "v": "0.57866480946471308594398293686123212133334312614478834186",
      "period": "678.45943770517576737717693065642271038404366856338538904",
      "energy": "-1.3912050790465385061539246182111913305338633581559063381",
      "scale_invariant_period": "1113.2959261996153808814682498458769076341172849011000384",
      "angular_momentum": "0 exactly by construction",
      "status": "Numerically verified primitive, collisionless, planar spectrally stable; absent from checked catalogues",
      "nontrivial_planar_multipliers": [
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        "energy_covector_defect": "2.1986261840691128943328278350826900017913860980981203657e-32",
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        "precision_bits": 160,
        "tolerance": "1e-40",
        "correction_history": [
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      "working_label": "BH-1252",
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