Open Computational Test of the Livolsi Variational Functional

This work presents a simple open computational test of the Livolsi variational functional through a reproducible Python implementation. The program evaluates several characteristic mass scales using two structural inputs: the vacuum expectation value v=246.22v = 246.22v=246.22 GeV and a dimensionless structural constant L=0.25L = 0.25L=0.25. Within this minimal framework, the code reproduces representative scales associated with multiple physical sectors: the Higgs mode as a coherent vacuum oscillation, the nucleon confinement scale linked to a cyclic Z3Z_3Z3 structure, the leptonic spectrum through eigenvalue relations of the internal Hessian, and the top quark mass scale as an intersection between the Higgs scale and the LLL-invariant structure. In addition, the computation illustrates a simple dimensional argument for a dark-to-visible matter ratio of approximately 5:15:15:1, associated with orthogonal mode counting. The entire numerical experiment is implemented in a compact Python program requiring only the NumPy library, allowing immediate independent verification and reproducibility. The objective of this note is not to provide a full theoretical derivation but to offer an open and transparent computational demonstration of how these characteristic scales can be generated from a minimal structural parameter set.