Definition: General- h graph coefficients

With ${T_i}^r:=(-\mathcal{P}{B}^i{)}^r$,

and ${\widehat{a^{A\mu \nu }}}_{\lambda }$ is the accumulation over $\{a+p,b+q\}=\lambda$, exactly as in XVI-L, def:La / eq:L-apq, {with ${\chi }_{\mathrm{I}}$ suppressed}. The physical (switched) coefficient—XVI-L style—is the single product

The hat marks the switch-free factor: $a_{\lambda }$ and ${\hat{a}}_{\lambda }$ are not the same object. Here ${L^{pq}}_{ij}$ is kept as the symbolic linear forms of XVI-K in independent $h$-jet symbols $h_{ab}$, ${\partial }_c{h}_{ab}$, ${\partial }_c{\partial }_d{h}_{ab}$. The recorded table graph_general_table.txt stores the switch-free $\hat{a}$ (${\chi }_{\mathrm{I}}$ suppressed), as in XVI-L.