(A1) where Rαβ γδ =q δ α γ δβ δ +ϵ αβϵγδ , ϵ αβ = 0 1 −q0 , ϵ αβ = 0−q −1 1 0 .(A2) andu α = x y ,w α = a c

Details of the braiding relations As discussed in section III A, the braiding relations are defined by uα wβ =q −1Rαβ γδ wγ uδ , uα ¯wβ =R αβ γδ ¯wγ uδ