v3: Now in LaTeX format with proper equations, numbered references, and tables. Includes LaTeX source. We compute the exact quantum 6j-symbol F3,8,3̄8 for Uq(sl(3)) at q = eiπ/6 and derive the CKM matrix from SU(3) Chern-Simons theory at level k=3. Key results: β = Nπ2/((k+g)(k+g+1)) = π2/14 — derived from anisotropic lattice geometry (spatial counts intervals, temporal counts Weyl alcove vertices) sin θC = exp(-14/(3π)) = 0.2264 (observed: 0.2265, 0.04% accuracy, zero free parameters) All 9 CKM elements to <3% with 2 free parameters Jarlskog invariant J = 3.20×10-5 (observed: 3.08×10-5, 4%) Algebraic FN charges: nd,2 = N3/(k+g+1) = 27/7, nu,2 = 2N2/(k+g+1) = 18/7, ratio = N/2 Supersedes Zenodo records 19643175, 19644986, 19668518.
Adam Bazih (Thu,) studied this question.