  Minimal free resolutions and minimal free presentations are standard ways to
represent the isomorphism type of a persistence module in software. This
description is a multi-parameter generalization of the barcode known in
one-parameter persistence. Another multi-parameter generalization of this
concept is given by fringe presentations (Miller: 2020), which represents the
module as the image of a morphism from a free to an injective module. In this
paper, we demonstrate a way to calculate the matrix representing a fringe
presentation of a given persistence module from a minimal free resolution of
it.
