# This file depends on the curves we are studying
# We consider a projection and we choose representatives
# of the braid monodromies such that the braids are grouped together
# (defining a partition in the list of the monodromy)
# by their conjugation class (which is a topological invariant
# of the projection). In order to verify if two braid monodromies
# are equivalent, it is enough to consider only Hurwitz moves
# which respect this partition. We provide generators of
# this group, as a subgroup of the braid group that acts on the monodromy.

kj1:=function(lista) return prodtrenzas([1,1],lista); end;
kj2:=function(lista) return prodtrenzas([1,2,2,1],lista); end;
kj3:=function(lista) return prodtrenzas([2,2],lista); end;
kj4:=function(lista) return prodtrenzas([1,2,3,3,2,1],lista); end;
kj5:=function(lista) return prodtrenzas([2,3,3,2],lista); end;
kj6:=function(lista) return prodtrenzas([3,3],lista); end;
kj7:=function(lista) return prodtrenzas([1,2,3,4,4,3,2,1],lista); end;
kj8:=function(lista) return prodtrenzas([2,3,4,4,3,2],lista); end;
kj9:=function(lista) return prodtrenzas([3,4,4,3],lista); end;
kj10:=function(lista) return prodtrenzas([4,4],lista); end;
generadores:=[kj1,kj2,kj3,kj4,kj5,kj6,kj7,kj8,kj9,kj10];;