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  "results": [
    "This saved batch contains 21 completed calculations. The table and downloads below refer to those actual runs.",
    "The largest recorded absolute diagnostic residual was 5.47118e-13. 21 of 21 residual-bearing cases were within their own reported numerical tolerance.",
    "Across 21 recorded readings, Euler characteristic χ ranged from 0 to 2.",
    "Across 21 recorded readings, Total integrated curvature ranged from -5.47118e-13 to 12.56637.",
    "Across 21 recorded readings, Theorem prediction 2πχ ranged from 0 to 12.56637."
  ],
  "interpretation": [
    "At sphere level 1, the recorded vertex-defect range was [0.2738442, 0.3093413] radians for scale (1,1,1), and [0.1211419, 0.7997491] radians for scale (1.5,0.75,1). These ranges come from the saved per-vertex fields.",
    "A small total-curvature residual is evidence about the implementation on these meshes. The closed-mesh derivation supplies the theorem; the experiments do not establish the complete classification of surfaces.",
    "Compare local field ranges at a fixed model and resolution before interpreting the effect of stretching. Changing resolution changes the locations and number of vertices."
  ],
  "summaryCsvPath": "/studies/topology/summary-20260917003910210-62944.csv"
}