MSG 141.559
\[\begin{align*}
&E_{2}^{1,-1}=0\\
&E_{1}^{0,-1}=\mathbb{Z}_2[\boldsymbol{b}^{(0)}_{\text{A}_1}]\oplus\mathbb{Z}[\boldsymbol{b}^{(0)}_{\text{C}_1}]\oplus\mathbb{Z}[\boldsymbol{b}^{(0)}_{\text{D}_2}]\oplus\mathbb{Z}[\boldsymbol{b}^{(0)}_{\text{E}_1}]\\
&E_{1}^{1,-1}=\mathbb{Z}[\boldsymbol{b}^{(1)}_{d_1}]\oplus2\mathbb{Z}[\boldsymbol{b}^{(1)}_{h_1}]\\
&E_{1}^{2,-1}=2\mathbb{Z}[\boldsymbol{b}^{(2)}_{\delta _1}]\oplus2\mathbb{Z}[\boldsymbol{b}^{(2)}_{\varepsilon _1}]
\end{align*}\]
\[\begin{align*}
&[X^{(1)}]^{-1}=\left(
\begin{array}{cc}
d_1 & h_1 \\
0 & 1 \\
1 & 0 \\
\end{array}
\right)\\
&[V^{(0)}]^{-1}=\left(
\begin{array}{cccc}
\text{A}_1 & \text{C}_1 & \text{D}_2 & \text{E}_1 \\
0 & 0 & 0 & 1 \\
0 & 1 & 0 & 0 \\
0 & 0 & 1 & 0 \\
1 & 0 & 0 & 0 \\
\end{array}
\right)\\
&\Lambda^{(0)}=\left(
\begin{array}{c}
1 \\
\end{array}
\right)\\
&[V^{(1)}]^{-1}=\left(
\begin{array}{cc}
d_1 & h_1 \\
1 & 0 \\
0 & 1 \\
\end{array}
\right)\\
&\Sigma^{(1)}=\left(
\begin{array}{cc}
1 & 0 \\
0 & 0 \\
\end{array}
\right)
\end{align*}
\]