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An adinkra is a graph-theoretic representation of spacetime supersymmetry.Minimal four-color valise adinkras have been extensively studied due to theirrelations to minimal 4D, $\cal N$ = 1 supermultiplets. Valise adinkras,although an important subclass, do not encode all the information present whena 4D supermultiplet is reduced to 1D. Eigenvalue equivalence classes for valiseadinkra matrices exist, known as $\chi_{\rm o}$ equivalence classes, wherevalise adinkras within the same $\chi_{\rm o}$ equivalence class are isomorphicin the sense that adinkras within a $\chi_{\rm o}$-equivalence class can betransformed into each other via field redefinitions of the nodes. We extendthis to non-valise adinkras, via Python code, providing a complete eigenvalueclassification of "node-lifting" for all 36,864 valise adinkras associated withthe Coxeter group $BC{}_4$. We term the eigenvalues associated with thesenode-lifted adinkras Height Yielding Matrix Numbers (HYMNs) and introduce HYMNequivalence classes. These findings have been summarized in a $Mathematica$notebook that can found at the HEPTHools Data Repository(https://hepthools.github.io/Data/) on GitHub.

Adinkra Height Yielding Matrix Numbers: Eigenvalue Equivalence Classes for Minimal Four-Color Adinkras