Colour Triplet Co-admissibility on Heis_3(Z/qZ): Numerical Test of Hypothesis [H-color]

We report numerical evidence for Hypothesis [H-color] (colour triplet co-admissibility) on the Heisenberg group Heis₃(Z/qZ), the key open condition in the derivation of SU(3) as the admissible gauge group of the colour sector . For a prime q ≡ 1 3, a colour triplet is a set ₁, c₂, c₃\ ⊂ (Z/qZ)^* satisfying c₁ + c₂ + c₃ ≡ 0 q and pairwise non-conjugacy. [H-color] asserts that the three BFS capacity profiles σc₁(n), σc₂(n), σc₃(n) are equal in the pre-saturation window, i.e.\ that the three sectors are co-admissible. The test observable is the inter-triplet variance ratio Rᵥar = Varᵢ(cᵢ(n)) / cᵢ²(n), normalised against the intra-pair variance of conjugate pairs , q-c\ (known co-admissible by O25 ) as a noise-floor reference. We find Rᵥₐᵣ ≈ 3.4 × 10⁻³ at $q = 61$, 7.1 × 10⁻⁴ at $q = 151$, and 1.6 × 10⁻³ at $q = 211$, all at or below the noise floor ctrlᵣef = 3.81 × 10⁻³ (calibrated from controls q ∈ \29, 101\), consistent with exact co-admissibility up to block-sampling variance. The triplet capacity exponent satisfies δₜᵣᵢ ≈ 3δc at all three primes, confirming the additive structure predicted by O31. All triplet covariance matrices Ccolor End(Vcolor) have numerical rank 1. Results for $q = 307$ are pending.