H-NF-050 Hosco Japan nut file 15 cm length, teeth per inch: 78, 050" / 1,27 mm

A high quality nut file. A string seated in a properly filed nut will have the correct height and will also prevent extraneous string noise from the nut.

0.050" / 1,27 mm width.

A typical set for classical guitar would contain the following files:

0.028", 0.032", 0.036", 0.042"

A typical set for electric and acoustic guitars will depend on the string gauges. Always check the package for the string gauges and use the same file gauge accordingly.
A great aid in filing nuts is the H-GB4 Hosco GrooBar. This will prevent you from filing the string slot too deep.