Association Between Codimension-1 Simplices and Group Generators

[giorgiabenassi]

When calculating the fundamental group of a triangulation, I need a way to explicitly view the association between codimension-1 simplices and the generators of the group's presentation.
Since the fundamental group is derived from the dual skeleton, such an association should exist at some stage in the computation. However, I have not been able to find any method or function that retrieves this information.

Does a function or method exist that exposes this association?

If not, could you point me to the specific file or location where the function computing the fundamental group is defined? So far, I have only identified the 'fundamental_group' function in the SnapPea kernel.