balanced-source-research.json

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941 bytes, as of the version from 2026-10-27 01:10 (current). Recorded here, not run.

{
  "date": "2026-10-27",
  "method": "Official DLMF pages opened with the native web tool during this session; notes distinguish source-backed mathematics from our exploratory finite selections.",
  "research": [
    {
      "tables": [
        "T375"
      ],
      "urls": [
        "https://dlmf.nist.gov/14.3",
        "https://dlmf.nist.gov/14.5",
        "https://dlmf.nist.gov/14.19"
      ],
      "source_support": "Real type-3 Q on x>1, hypergeometric definition, half-integer elliptic reductions, and toroidal degrees n-1/2 with x=cosh(xi).",
      "selection_judgment": "Preserve the existing rational coverage; add the four lowest toroidal degrees at xi=1,2 and Q_-1/2(3), whose elliptic parameter is 1/2. The coordinate choices are exploratory, not canonical torus geometries. The equivalent elliptic-parameter representation used in checks is derived from the half-integer reductions and verified independently."
    }
  ]
}