The thus generated regulariser is given in Eq. 51 and Eq. 52. For the sake of notational clarity, we suppress the perturbative superscript. Occupied and virtual contributions corresponding to the same diagram are labelled with the same index. Recall that these 31 surviving terms respect the 9 rules enumerated above, as well as the critical 10th restriction on the degree of non-linearity: we stopped at contributions to the regulariser that are quadratic in the amplitudes. R i j =A 0 ⟨ik|| jk⟩n -1 e ⟨kl||kl⟩δ i j + iA