This record provides supplementary materials for the project “Fermion-Boson Duality and Quantum Field Theory Using an Extended Dirac Equation.”Using Wolfram Mathematica, we reproduce and verify the anticommutation relations and basic properties of the 256×256 two-index gamma matrices Γμν\Gamma_{\mu\nu}Γμν and the bosonic counterparts Ωμν\Omega_{\mu\nu}Ωμν. We also include minimal tree-level notes for representative e-QED scattering processes (Compton, e+e− ⁣→ ⁣μ+μ−e^+e^-\!\to\!\mu^+\mu^-e+e−→μ+μ−, Møller, Bhabha). In the flat limit the results coincide with standard QED.