{
  "table": "T513",
  "entry": {
    "ell": "0",
    "eta": "1",
    "n": "1"
  },
  "printed_100_digits": "3.774918323528842724353033373133624631292711133710583184648294022438418641695623406827447855517075921",
  "matches_stored_at_150_and_200_dps": true,
  "root_difference_150_vs_200_dps": "2.21634234615e-153",
  "error_in_stored_last_place_units": "0.346749118741",
  "direct_coulombg_controls_at_150_dps": [
    {
      "rho": 3,
      "absolute_difference": "7.6373409e-152"
    },
    {
      "rho": 4,
      "absolute_difference": "1.9093352e-152"
    }
  ],
  "free_cosine_controls": 4,
  "free_first_root_pi_over_2": true,
  "certified_first_scan_bracket": [
    "57/16",
    "61/16"
  ],
  "signs_at_3_and_4": [
    1,
    -1
  ],
  "stored_decimal_endpoint_signs": [
    1,
    -1
  ],
  "endpoint_ball_radii": [
    "5.5449116e-199",
    "5.5449066e-199"
  ],
  "original_generator_interval_inside_stored_decimal_interval": true,
  "scope": "The Programs example and its first-root bracket; no entries changed or full-table recomputation claimed.",
  "versions": {
    "python": "3.12.3",
    "mpmath": "1.4.1",
    "numberdb": "0.1.10",
    "sage": "10.9"
  }
}