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"relativeError": -8.010331242758184e-08, "twoWay": true, "directions": [ { "from_airport": "HKG", "to_airport": "SUB", "count": 1, "minutes": 285 }, { "from_airport": "SUB", "to_airport": "HKG", "count": 1, "minutes": 300 } ], "observations": [ { "from": "HKG", "to": "SUB", "minutes": 285, "aircraft": "Airbus A330-300", "flight": "CX629", "date": "2026-10-03", "source": "https://2lnr.com/routes/hkg-sub", "nonstop": true, "stops": 0 }, { "from": "SUB", "to": "HKG", "minutes": 300, "aircraft": "Airbus A330-300", "flight": "CX780", "date": "2026-10-03", "source": "https://2lnr.com/routes/sub-hkg", "nonstop": true, "stops": 0 } ] } ] } ], "iterations": 30000, "phase": "space", "stable": false, "startMode": "space", "planeStress": null, "lift": null, "radialVariation": 0.24108824031457335 } ], "findings": { "lagos": [ { "degree": 17, "radiusRatio": 0.2826420970280117, "localStress": 0.10587489941848166, "localLoss": 9.668855528845858, "bestFixedNeighborLoss": 9.668855521909776, "seed": 71, "steps": 30000, "globalStress": 0.04591289071145831 }, { "degree": 17, "radiusRatio": 0.9716414571860494, "localStress": 0.026385895855221563, "localLoss": 0.6005272754457336, "bestFixedNeighborLoss": 0.6005272727100962, "seed": 72, "steps": 30000, "globalStress": 0.035188424001658246 }, { "degree": 17, "radiusRatio": 0.8181218856159457, "localStress": 0.02627255708171419, "localLoss": 0.5953793096352351, "bestFixedNeighborLoss": 0.5953793076875447, "seed": 73, "steps": 30000, "globalStress": 0.03505591829983667 } ], "interpretation": "Lagos has 17 constraints. Seed 71 places it deep inside and fits its constraints substantially worse than seeds 72 and 73. Re-fitting Lagos alone from 29 starts, with neighbors fixed, does not improve its seed-71 loss appreciably. This is evidence of a coordinated local minimum in the whole reconstruction, rather than a missing surface vertex or a solution recoverable by moving only Lagos. These 30,000-step runs have not satisfied the production stability criterion.", "sparseExamples": [ { "airport": "BSB", "neighbors": [ "LIS" ], "explanation": "One distance fixes a sphere of possible positions around the sole neighbor. It does not determine this airport\u2019s position within the overall cloud." }, { "airport": "SUB", "neighbors": [ "HKG" ], "explanation": "One distance fixes a sphere of possible positions around the sole neighbor. It does not determine this airport\u2019s position within the overall cloud." } ], "remainingAmbiguity": "Even the better start leaves dents at several airports. Sparse and clustered neighbor sets, different local minima, and noisy scheduled travel times fitted as straight-line lengths can all contribute. A nearly spherical position is not required by the loss, and none is imposed." }, "sourceAudit": { "checked": "2026-10-05", "rows": [ { "source": "https://2lnr.com/routes/cmn-los", "from": "CMN", "to": "LOS", "aircraft": "Boeing 787-8 Dreamliner", "minutes": 265, "flight": "AT555", "date": "2026-10-07", "result": "Freshly retrieved matching explicit scheduled-nonstop table; matches retained aircraft and duration." }, { "source": "https://2lnr.com/routes/dxb-los", "from": "DXB", "to": "LOS", "aircraft": "Boeing 777-300ER", "minutes": 515, "flight": "EK783", "date": "2026-10-03", "result": "Freshly retrieved matching explicit scheduled-nonstop table; matches retained aircraft and duration." } ], "scope": "Published schedule source checked; not independent actual flown-time verification.", "triangleCheck": { "availableMeasuredTrianglesInvolvingLOS": 75, "triangleInequalityViolations": 0, "scope": "Necessary metric condition only; does not establish consistency of all distances in 3D." } } }