{
  "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": [
        "T510",
        "T511",
        "T512",
        "T513"
      ],
      "urls": [
        "https://dlmf.nist.gov/33.2",
        "https://dlmf.nist.gov/33.5",
        "https://dlmf.nist.gov/33.22"
      ],
      "source_support": "DLMF normalization, angular-momentum partial waves, the eta=0 spherical degeneration, outer turning radius eta+sqrt(eta^2+ell(ell+1)), and the distinction between fixed-coupling radial zeros and physical energy levels.",
      "selection_judgment": "Attractive and repulsive half/unit/double couplings are honest noncanonical reference categories in the stated normalization. Keep all 336 roots in each zero table, preserve the existing handbook examples, and broaden value tables through sparse radii and a few conditionally intrinsic turning points."
    }
  ]
}