{
 "schema_version": 1,
 "variant": "convex",
 "n": 30,
 "frame": "free",
 "points": [
  [
   "75.146241675667504",
   "141.219481469578816"
  ],
  [
   "158.83957187841584",
   "92.946427510196048"
  ],
  [
   "117.031820348494416",
   "165.456073293000608"
  ],
  [
   "116.953989854283408",
   "68.7098337475812"
  ],
  [
   "131.259831231676256",
   "200.168106898999904"
  ],
  [
   "106.068970203818672",
   "5.693186616710473"
  ],
  [
   "127.7376379508624",
   "5.719082501180521"
  ],
  [
   "102.72597832032928",
   "33.997802442077096"
  ],
  [
   "131.126177711120816",
   "34.03174033953428"
  ],
  [
   "25.9629543380999",
   "51.897131626297816"
  ],
  [
   "208.022859435083872",
   "182.268772435314848"
  ],
  [
   "102.859631837182032",
   "200.13416439899248"
  ],
  [
   "127.916838980095648",
   "228.472720091923744"
  ],
  [
   "207.918152886428544",
   "52.11458363211744"
  ],
  [
   "52.15552850186364",
   "63.166077224825408"
  ],
  [
   "181.743661771304448",
   "63.320945339610056"
  ],
  [
   "15.143726787391278",
   "70.661556840834736"
  ],
  [
   "218.76759308223152",
   "70.904904069663744"
  ],
  [
   "37.975225650934736",
   "87.75980832626592"
  ],
  [
   "195.96355831486976",
   "87.948618941058032"
  ],
  [
   "75.107326427005184",
   "92.846359761679232"
  ],
  [
   "158.878487123964512",
   "141.319545347715856"
  ],
  [
   "38.022253575191096",
   "146.217291752906848"
  ],
  [
   "196.0105862332512",
   "146.406095064958624"
  ],
  [
   "15.218221267969206",
   "163.261005628380544"
  ],
  [
   "218.8420875585416",
   "163.504347552192384"
  ],
  [
   "52.242154100334976",
   "170.84496305784016"
  ],
  [
   "181.830287367603552",
   "170.999828472434752"
  ],
  [
   "26.067660891555136",
   "182.051326395973024"
  ],
  [
   "106.248171233584096",
   "228.446824868914336"
  ]
 ],
 "value": {
  "decimal": "0.00594247277721246942266161515028",
  "fraction": "105548161892221317636602198487424/17761656779811531423542586961239263",
  "published": "A = .005942+",
  "published_decimal": "0.005942",
  "published_lower_bound": true,
  "exact_text": null,
  "exact_sympy": null,
  "minimal_polynomial": null
 },
 "status": "record",
 "page_relation": "OK",
 "credit": {
  "found": {
   "name": "Nathan Sudermann-Merx",
   "date": "August 2026"
  },
  "proved": null,
  "trivial": false
 },
 "coordinates_source": {
  "kind": "reconstructed",
  "ref": "heilbronn-site reconstruct/reconstruct.py",
  "note": "re-polished from the published record figure — the record holder's arrangement with re-derived coordinates"
 },
 "coordinates_reconstructed": true,
 "symmetry": {
  "label": "6-fold dihedral symmetry"
 },
 "notes": [],
 "changelog": [],
 "references": [],
 "verify": {
  "n": 30,
  "triples_checked": 4060,
  "value": "0.00594247277721246942266161515028",
  "value_fraction": "105548161892221317636602198487424/17761656779811531423542586961239263",
  "min_triple": [
   13,
   21,
   29
  ],
  "num_min_ties": 54,
  "feasible": true,
  "violations": [],
  "hull_vertex_count": 12
 }
}