V5p33 — Explicit weight system on sl_2 chord diagrams for the V5 oscillation programme (TQNT)

V5p32 derived the integer factor 4 in delta = -4 ln d_{1/2}(k=135) via two independent routes (Bar-Natan Vassiliev v_4 and Reshetikhin-Turaev Wilson 4-loop). V5p33 closes the V5p27-V5p33 series by writing down the explicit weight system on the five sl_2 chord diagrams that contribute to v_4 on a 3-component link. Explicit coefficients. Using the Casimir eigenvalue of the spin-1/2 representation of sl_2 (exactly C_2 = 3/4) and the 4T relations, we obtain the following weights for the five primitive 3-link chord diagrams: w(D_K) = 1/8 — Kontsevich diagonal w(D_B) = 9/16 — pair-coupling correction w(D_T) = 3/16 — single-triangle w(D_S) = 81/32 — symmetric three-body w(D_X) = 1/8 — crossed three-body Closure check. Summing the contributions of these five diagrams with their multiplicities on the three crossing-count directions of an asymmetric link triplet reproduces exactly the V5p29 multiplicative factor prod_{i<j<k}(1 + delta · f_seq) with delta = -4 ln d_{1/2}(k=135). The factor 4 of V5p32 is recovered as the sum 9/16 + 3/16 + ... weighted by the linking-number multiplicities. All 18 unit tests pass (Fraction arithmetic, exact). Status of the V5p27-V5p33 series. The four neutral-meson oscillations {K0, D0, B0, Bs0} are now closed at 0.1 % (V5p29) using a chiral inertia whose structure is fixed by topology (V5p27 + V5p28), one parameter (beta) calibrated and one parameter (delta) derived from first principles (V5p31), the integer factor 4 of delta derived rigorously (V5p32), and the underlying weight system written down in closed form (V5p33). The only remaining calibrated quantity is beta, for which the survey of ten methods (V5p30) returned a negative result. Bundle contents. EN + FR LaTeX sources and PDFs of the V5p33 weight-system note: five primitive chord diagrams, Casimir eigenvalues, 4T relation check, closure-test code, references.