{
 "schema_version": 1,
 "variant": "convex",
 "n": 7,
 "frame": "free",
 "points": [
  [
   "-0.853847185298913",
   "0.122686198685049"
  ],
  [
   "0.20237295770524",
   "-0.832495182572002"
  ],
  [
   "0.501474227593679",
   "0.559808983886958"
  ],
  [
   "-0.9534613992559",
   "-0.341387385610831"
  ],
  [
   "0.654079577909261",
   "-0.686726830288829"
  ],
  [
   "0.149381821346638",
   "0.87811421589966"
  ],
  [
   "-0.05",
   "-0.049999999999998"
  ]
 ],
 "value": {
  "decimal": "0.111111111111110998117184675199",
  "fraction": "390246244451052011394452451829/3512216200059471674281962495312",
  "published": "A = 1/9 = .111+",
  "published_decimal": "0.111",
  "published_lower_bound": true,
  "exact_text": "1/9",
  "exact_sympy": "1/9",
  "minimal_polynomial": null,
  "exact_display": "1/9",
  "exact_decimal": "0.111111111111111111111111111111111111111111111",
  "exact_mathml": "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mfrac><mrow><mn>1</mn></mrow><mrow><mn>9</mn></mrow></mfrac></math>"
 },
 "status": "proven",
 "page_relation": "OK",
 "credit": {
  "found": null,
  "proved": {
   "name": "Zhenbing Zeng and Lu Yang",
   "date": "1995"
  },
  "trivial": false
 },
 "coordinates_source": {
  "kind": "reconstructed",
  "ref": "heilbronn-site reconstruct/reconstruct.py",
  "note": "reconstructed by local optimization; matches published value 0.111+"
 },
 "coordinates_reconstructed": true,
 "symmetry": {
  "label": "3-fold dihedral symmetry"
 },
 "notes": [],
 "changelog": [],
 "references": [],
 "verify": {
  "n": 7,
  "triples_checked": 35,
  "value": "0.111111111111110998117184675199",
  "value_fraction": "390246244451052011394452451829/3512216200059471674281962495312",
  "min_triple": [
   0,
   3,
   6
  ],
  "num_min_ties": 6,
  "feasible": true,
  "violations": [],
  "hull_vertex_count": 6
 }
}