rangle}}_\Lambda{{\langle \varphi_u\varphi_{v'_1} \rangle}}_\Lambda{{\langle \varphi_{v'_1}
 \varphi_{v'_2} \rangle}}_\Lambda&{\nonumber}\\[7pt]
+{{\langle \varphi_{v_1}\varphi_{v_2} \rangle}}_\Lambda{{\langle \varphi_{v_2}\varphi_{
 v'_1} \rangle}}_\Lambda{{\langle \varphi_{v'_1}\varphi_u \rangle}}_\Lambda{{\langle \varphi_u
 \varphi_{v'_2} \rangle}}_\Lambda&\Big).\end{aligned}$$

We define $P_{\Lambda;u,v}^{\prime\prime{{\scriptscriptstyle}(j)}}(v_1,v'_j)$ similarly as follows. First we take *two* two-point functions in $P_\Lambda^{{\scriptscriptstyle}(j)}(v_1,v'_j)$, one of which (say, ${{\langle \varphi_{z_1}\varphi_{z'_1} \rangle}}_\Lambda$ for some $z_1,z'_1$) is among the aforementioned $2j-1$ two-point functions, and the other (say, $\tilde G_\Lambda(z_2,z'_2)$ for some $z_2,z'_2$) is among those of which $\psi_\Lambda(v_i,v'_i)-\delta_{v_i,v'_i}$ for $i=1,\dots,j$ are composed. The product ${{\langle \varphi_{z_1}\varphi_{z'_1} \rangle}}_\Lambda\tilde
G_\Lambda(z_2,z'_2)$ is then replaced by $$\begin{aligned}
&\bigg(\sum_{v'}{{\langle \varphi_{z_1}\varphi_{v'} \rangle}}_\Lambda{{\langle \varphi_{v'}
 \varphi_{z'_1} \rangle}}_\Lambda\,\psi_\Lambda(v',v)\bigg)\Big({{\langle \varphi_{z_2}
 \varphi_u \rangle}}_\Lambda\tilde G_\Lambda(u,z'_2)+\tilde G_\Lambda(z_2,z'_2)
 \,\delta_{u,z'_2}\Big){\nonumber}\\
&+{{\langle \varphi_{z_1}\varphi_u \rangle}}_\Lambda{{\langle \varphi_u\varphi_{z'_1}
  \rangle}}_\Lambda\sum_{v'}\Big({{\langle \varphi_{z_2}\varphi_{v'} \rangle}}_\Lambda\tilde
 G_\Lambda(v',z'_2)+\tilde G_\Lambda(z_2,z'_2)\,\delta_{v',z'_2}\Big)
 \,\psi_\Lambda(v',v).\end{aligned}$$ Finally, we define $P_{\Lambda;u,v}^{\prime\prime{{\scriptscriptstyle}(j)}}(v_1,v'_j)$ by taking account of all possible combinations of ${{\langle \varphi_{z_1} \varphi_{z'_1} \rangle}}_\Lambda$ and $\tilde
G_\Lambda(z_2,z'_2)$. For example, we define $P_{\Lambda;u,v}^{\prime\prime{{\scriptscriptstyle}(1)}}(v_1,v'_1)$ as (see Figure \[fig:P-def\]) $$\begin{aligned}
{\label{eq:P''1-def}}
P_{\Lambda;u,v}^{\prime\prime{{\script