First-Classness yields a unique 64 → 20 genetic code: Supplementary Documentation Package

This record deposits the manuscript “First-Classness yields a unique 64→20 genetic code: a group-theoretic derivation” (Douglas J. Huntington Moore), together with the accompanying analysis materials used to generate the reported figures and statistics. The paper derives the genetic code’s degeneracy spectrum from a symmetry constraint termed First-Classness (FC): no entity, position, or relation may be intrinsically privileged. Imposing FC on the four dispositional generators ε, η, i, j forces a unique partition of the 64 triplets into orbits of sizes 1, 2, 3, 4, and 6. Under the Rosetta mapping of these generators to the nucleotide bases A, U, G, C, this orbit structure reproduces the universal code’s synonymous-family sizes and identifies special singleton roles for AUG and UGG (with GGG as a further structural anchor within the construction). The empirical component tests FC-implied balance conditions against large-scale codon-usage data, including RefSeq-based species tables spanning 70, 950 genomes (aggregating approximately 1. 4 million coding sequences), and additional cross-checks against alternative databases and variant-code cases (notably ciliate variants). The deposited software package contains scripts for orbit enumeration, statistical analysis, and figure generation, along with the processed codon-usage tables and the corresponding outputs, enabling direct reproduction of the paper’s key plots (orbit distributions, sixfold fine-structure comparisons, and variant-code validation). If you are packaging only the manuscript (without the software/data), delete the second and third paragraphs and retain only the first paragraph plus a single sentence stating: “This record contains the manuscript only. ”