  An adinkra is a graph-theoretic representation of spacetime supersymmetry.
Minimal four-color valise adinkras have been extensively studied due to their
relations to minimal 4D, $\cal N$ = 1 supermultiplets. Valise adinkras,
although an important subclass, do not encode all the information present when
a 4D supermultiplet is reduced to 1D. Eigenvalue equivalence classes for valise
adinkra matrices exist, known as $\chi_{\rm o}$ equivalence classes, where
valise adinkras within the same $\chi_{\rm o}$ equivalence class are isomorphic
in the sense that adinkras within a $\chi_{\rm o}$-equivalence class can be
transformed into each other via field redefinitions of the nodes. We extend
this to non-valise adinkras, via Python code, providing a complete eigenvalue
classification of "node-lifting" for all 36,864 valise adinkras associated with
the Coxeter group $BC{}_4$. We term the eigenvalues associated with these
node-lifted adinkras Height Yielding Matrix Numbers (HYMNs) and introduce HYMN
equivalence 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.
