Counterterm equations

Work over $\mathbb{K}=\mathbb{Q}(\mathrm{i})$, unless an enlarged exact field is declared. Let

For each named row choose a complete finite coefficient space $W_{\alpha }$, and put $W={{⨁}_{\alpha =1}}^{23}{W}_{\alpha }$. Twenty-three named rows need not mean 23 scalar equations.

Let $A:V_{\mathrm{pres}}\to W$, $d\in W$, and let $L_0:V_{\mathrm{pres}}\to J_0$ encode only the consistency tests actually claimed. Define