The K 5 placements

For $e\in \{5a,5z\}$ the record supplies XIV-I's module ${\mathcal{A}}^m(V)$ on the chart $w_{\pm }$ with its reconstruction rule (P5) and chart (P4); XIV-I states that one explicit module contains the regular diagonal, separated flow-out, and internal transition presentations of both placements II2. The generators of ${\mathcal{A}}^m(V)$, its coefficient class (dependence on $q$, $r$), and the module action (linearity of $\mathsf{Rec}$ over chart functions) are described in prose and not displayed Iamodule. Status: rule and chart identified; generators, coefficient class, and action open. The module is a local chart model on $V_{\pm }$; its relations $q{\delta }^{\prime }(q)=-\delta (q)$, $r^{2}R(r)=0$, and $(qi\theta +1)M_{\mathrm{R}}$ are examples of null relations, not a classification of $\ker \mathsf{Rec}$ on ${\mathcal{P}}_{\mathrm{int}}$ (Lemma lem:directsum).