This file contains the directions on how to use the files in this directory. They contain GAP4 programs. The software GAP4 can be obtained at http://www.gap-system.org. The order of execution of the files is the following: 1.- grupo. This file contains the images of the standard generators of a braid group (in this case B_3) under an epimorphism onto a finite group. This file can be edited if another group is needed. 2.- funciones. This file contains some auxiliary functions. (No need to edit it). 3.- gens. This file contains representatives of braid monodromies of a pair of curves having the same combinatorics. They are ordered in a way such that corresponding braids are conjugated. Moreover, in order to simplify the Hurwitz action, they are sorted out in blocks in a way such that all of the braids in the same block are conjugated to each other. This file should be edited for each example. 4.- hurwitz. This file contains the generators of the group of Hurwitz moves which preserve the blocks of the braid monodromies. This file must be edited according to the structure of the monodromies in file gens. 5.- conjugados. This file contains the starting point of the algorithm. (No need to edit it) 6.- programa. This file contains the core of the program. (No need to edit it)