This document introduces a novel computational paradigm: Non-linear Topological Resonance Extraction (NATRE). The system enables the extraction of global topological invariants from a local measurement at a fixed frequency point (wo). By exploiting symmetry classes (S) and the analytic structure of the Green's function within a spectral gap, it is shown that a single-frequency readout is sufficient to uniquely determine the topological phase of a system and to use it for algorithmic decision-making