Convert from ligne [Swiss] to gnat's eye

Unit Definition (ligne [Swiss])
A unit of measurement generally used to determine bangle widths. There are forty lignes to the inch.

Unit Definition (gnat's eye)
The gnat's eye is an idiomatic "unit" of distance; it's common to hear that something is "as small as a gnat's eye". In fact, the eyes of typical gnats tend to have diameters similar in size to a hair's breadth: roughly 100-150 micrometers (0.10-0.15 millimeters).