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some arndom untested code

    def xy_to_lonlat(self, x, y):
      n = 2.0 ** self.z
      xtl = (self.lon + 180.0) / 360.0 * n
      self_lat_rad = math.radians(self.lat)
      ytl = (1.0 - math.asinh(math.tan(self_lat_rad)) / math.pi) / 2.0 * n
      xtile = xtl + x/256
      ytile = ytl + y/256
      lon_deg = xtile / n * 360.0 - 180.0
      lat_rad = math.atan(math.sinh(math.pi * (1 - 2 * ytile / n)))
      lat_deg = math.degrees(lat_rad)
      return (lat_deg, lon_deg)

based on https://wiki.openstreetmap.org/wiki/Slippy_map_tilenames#Tile_numbers_to_lon./lat._2

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