The Wolfenstein ρ Parameter from the Inter-Type Torsion Operator

We compute the complete Wolfenstein ρ̄ parameter from the inter-type torsion operator on the truncated octahedron's 14-face graph. The operator O = (CA−1) Pₛq + Pₕx·T, restricted to the two T₁u irreducible representations, yields a 2×2 effective generation matrix H with four Schur scalars. We discover three exact algebraic identities: tr (H) = 1/3, det (H) = −8, and the characteristic polynomial 3μ²−μ−24 = 0 whose discriminant is 289 = 17² = Δ² — the square of the master discriminant. The eigenvalues are μ₁ = CA = 3 and μ₂ = −r₁r₂/ (2CA) = −8/3, tying the generation matrix directly to the colour number and master equation product. The CKM CP phase δ = arg (λ₁₂) = 66. 36° was established in Paper #39. We derive Rb = r₁²/ (r₁r₂−1) = (49−9√17) /30, an NLO correction to the tree-level ratio r₁/r₂ with factor 16/15 = r₁r₂/ (r₁r₂−1), interpretable as a self-energy vertex renormalisation. This yields ρ̄ = 0. 1590 (−0. 002σ from PDG 2024), resolving the previous 1. 0σ tension. The companion prediction η̄ = 0. 363 sits at +1. 5σ, attributable to the 0. 91° offset in δ from the experimental central value. The combined CKM unitarity triangle is determined by cell integers alone, with no free parameters. We also report the first computation of the off-diagonal Schur scalar λ₂₁ = 0. 004 − 2. 252i, not previously published, completing the full 2×2 block structure.