  We present a robust analysis code developed in the Python language and
incorporating libraries of the ROOT data analysis framework for the
state-of-the-art mass spectrometry method called phase-imaging
ion-cyclotron-resonance (PI-ICR). A step-by-step description of the dataset
construction and analysis algorithm is given. The code features a new
phase-determination approach that offers up to 10 times smaller statistical
uncertainties. This improvement in statistical uncertainty is confirmed using
extensive Monte-Carlo simulations and allows for very high-precision studies of
exotic nuclear masses to test, among others, the standard model of particle
physics.
