{
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  "published": "A = .08386+",
  "published_decimal": "0.08386",
  "published_lower_bound": true,
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  "minimal_polynomial": "152*x**3 + 12*x**2 - 14*x + 1",
  "exact_poly": {
   "poly": "152*x**3 + 12*x**2 - 14*x + 1",
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   "which": "smallest positive"
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  "exact_decimal": "0.0838590090075134066379667435447605568443247682",
  "poly_mathml": "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>152</mn><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>12</mn><msup><mi>x</mi><mn>2</mn></msup><mo>−</mo><mn>14</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></math>"
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 "status": "proven",
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 "credit": {
  "found": {
   "name": "F. Comellas and J. Yebra",
   "date": "December 2001"
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  "proved": {
   "name": "Zhenbing Chen and Liangyu Chen",
   "date": "2011"
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  "trivial": false
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 "coordinates_source": {
  "kind": "paper",
  "ref": "arXiv:2603.11107",
  "note": "in terms of the middle root of 19f^3 - 27f^2 + 11f - 1"
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 "symmetry": {
  "label": "Not symmetric"
 },
 "notes": [],
 "changelog": [],
 "references": [
  "chen-zeng-2011",
  "comellas-yebra-2002",
  "oeis-a343851"
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}