This archive contains complete reproducibility materials for "Exact Ω₂ Identities for S4, 2 (x) with Amortized Performance Gains" submitted to Experimental Mathematics. We present exact closed-form identities for the weight-6 Euler sum S₄, ₂ (x) = Σ (Hₙ₋₁xⁿ/n⁵) at dyadic arguments x ∈ 1/2, 1/4, -1/2 in a canonical Ω₂ constant field. Using PSLQ at 300+ digit precision, we discover that S₄, ₂ (x) admits exact representation as rational linear combinations of 21 basis constants. The identities are certified by independent high-precision residual verification (errors < 10⁻⁹⁵). We establish first-principles derivation via harmonic polylogarithm theory and demonstrate amortized computational advantages.
Keenan Williams (Tue,) studied this question.