{
 "_generated": "build-symmetry-test.mjs",
 "_hypothesis": "Do a surah's rarest content roots (occurring exactly twice) sit at matching distances from the surah's start and end, more often than chance placement would predict?",
 "_method": "Exact per-surah-length null distribution of position-pair variance (exhaustive enumeration, not simulation); one-sided p-value per candidate root pair; Benjamini-Hochberg FDR correction at q<0.05 across all candidates corpus-wide. Roots with corpus-wide frequency > 700 excluded as counting subjects (consistent with build-cooccurrence.mjs), though such roots essentially never occur exactly twice in one surah in practice.",
 "_scope": "This tests one narrow, mechanical proxy for positional symmetry, not the literary ring-composition scholarship cited on patterns.html (which analyzes thematic and semantic parallels, not raw lexical position). A null result here says nothing about that literature.",
 "totalCandidates": 3067,
 "fdrQThreshold": 0.05,
 "fdrSurvivors": 0,
 "bonferroniAlpha": 0.000016302575806977505,
 "bonferroniSurvivors": 0,
 "survivors": [],
 "closestMisses": [
  {
   "surah": 4,
   "root": "nqr",
   "rootLatin": "n-q-r",
   "arabic": "ن ق ر",
   "verseA": 53,
   "verseB": 124,
   "surahVerseCount": 176,
   "variance": 0,
   "pValue": 0.005714
  },
  {
   "surah": 16,
   "root": "lHm",
   "rootLatin": "l-ḥ-m",
   "arabic": "ل ح م",
   "verseA": 14,
   "verseB": 115,
   "surahVerseCount": 128,
   "variance": 0,
   "pValue": 0.007874
  },
  {
   "surah": 5,
   "root": "kff",
   "rootLatin": "k-f-f",
   "arabic": "ك ف ف",
   "verseA": 11,
   "verseB": 110,
   "surahVerseCount": 120,
   "variance": 0,
   "pValue": 0.008403
  },
  {
   "surah": 5,
   "root": "wHd",
   "rootLatin": "w-ḥ-d",
   "arabic": "و ح د",
   "verseA": 48,
   "verseB": 73,
   "surahVerseCount": 120,
   "variance": 0,
   "pValue": 0.008403
  },
  {
   "surah": 12,
   "root": "fwq",
   "rootLatin": "f-w-q",
   "arabic": "ف و ق",
   "verseA": 36,
   "verseB": 76,
   "surahVerseCount": 111,
   "variance": 0,
   "pValue": 0.009009
  }
 ]
}