{
 "schema_version": 1,
 "variant": "convex",
 "n": 12,
 "frame": "free",
 "points": [
  [
   "0.309598161312859",
   "-0.255355302799382"
  ],
  [
   "0.066345098558903",
   "0.395797524061579"
  ],
  [
   "-0.375943259871762",
   "-0.140442221262197"
  ],
  [
   "-0.552851224066815",
   "0.906508129660343"
  ],
  [
   "-0.508633456989568",
   "-0.932037269385356"
  ],
  [
   "1.061484681056382",
   "0.025529139725012"
  ],
  [
   "-1.127829779615286",
   "-0.421326663786592"
  ],
  [
   "0.928794483938576",
   "-0.766065908398146"
  ],
  [
   "0.19903529567671",
   "1.187392572184738"
  ],
  [
   "0.176907964195053",
   "-1.04695035092254"
  ],
  [
   "0.818231618302426",
   "0.676681966585974"
  ],
  [
   "-0.995139582497479",
   "0.370268384336567"
  ]
 ],
 "value": {
  "decimal": "0.0392156862745096310117928017227",
  "fraction": "139479758433409814960246402889/3556733840051965963834582630430",
  "published": "A = 2/51 = .0392+",
  "published_decimal": "0.0392",
  "published_lower_bound": true,
  "exact_text": "2/51",
  "exact_sympy": "2/51",
  "minimal_polynomial": null,
  "exact_display": "2/51",
  "exact_decimal": "0.0392156862745098039215686274509803921568627451",
  "exact_mathml": "<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mfrac><mrow><mn>2</mn></mrow><mrow><mn>51</mn></mrow></mfrac></math>"
 },
 "status": "record",
 "page_relation": "OK",
 "credit": {
  "found": {
   "name": "David Cantrell",
   "date": "June 2007"
  },
  "proved": null,
  "trivial": false
 },
 "coordinates_source": {
  "kind": "reconstructed",
  "ref": "heilbronn-site reconstruct/reconstruct.py",
  "note": "reconstructed by local optimization; matches published value 0.0392+ and symmetry (3-fold dihedral symmetry)"
 },
 "coordinates_reconstructed": true,
 "symmetry": {
  "label": "3-fold dihedral symmetry"
 },
 "notes": [],
 "changelog": [],
 "references": [],
 "verify": {
  "n": 12,
  "triples_checked": 220,
  "value": "0.0392156862745096310117928017227",
  "value_fraction": "139479758433409814960246402889/3556733840051965963834582630430",
  "min_triple": [
   1,
   6,
   10
  ],
  "num_min_ties": 36,
  "feasible": true,
  "violations": [],
  "hull_vertex_count": 9
 }
}