Neugernsdorf (Q32181241)

• matcher place: Greiz (relation 62445)
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  [timeout:300][out:json];
  (
      node(around:1000,50.71667,12.13333)[capital][~"^(addr:housenumber|.*name.*)$"~".",i];
      way(around:1000,50.71667,12.13333)[capital][~"^(addr:housenumber|.*name.*)$"~".",i];
      rel(around:1000,50.71667,12.13333)[capital][~"^(addr:housenumber|.*name.*)$"~".",i];
      node(around:1000,50.71667,12.13333)[boundary=administrative][~"^(addr:housenumber|.*name.*)$"~".",i];
      way(around:1000,50.71667,12.13333)[boundary=administrative][~"^(addr:housenumber|.*name.*)$"~".",i];
      rel(around:1000,50.71667,12.13333)[boundary=administrative][~"^(addr:housenumber|.*name.*)$"~".",i];
      node(around:1000,50.71667,12.13333)[place=city][name];
      way(around:1000,50.71667,12.13333)[place=city][name];
      rel(around:1000,50.71667,12.13333)[place=city][name];
      node(around:1000,50.71667,12.13333)[place=locality][name];
      way(around:1000,50.71667,12.13333)[place=locality][name];
      rel(around:1000,50.71667,12.13333)[place=locality][name];
  );
  out center tags;

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Search criteria from Wikidata

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administrative centre (Q1306755)	capital, Role:admin_centre
locality (Q3257686)	place=locality
capital city (Q5119)	capital=yes, capital, Role:admin_centre
city (Q515)	place=city
administrative territorial entity (Q56061)	boundary=administrative