MSG 161.72
\[\begin{align*}
&E_{2}^{1,-1}=\mathbb{Z}_2\\
&E_{1}^{0,-1}=\mathbb{Z}_2[\boldsymbol{b}^{(0)}_{\text{A}_1}]\oplus\mathbb{Z}[\boldsymbol{b}^{(0)}_{\text{A}_3}]\oplus\mathbb{Z}_2[\boldsymbol{b}^{(0)}_{\text{B}_3}]\oplus\mathbb{Z}_2[\boldsymbol{b}^{(0)}_{\text{D}_1}]\\
&E_{1}^{1,-1}=\mathbb{Z}[\boldsymbol{b}^{(1)}_{a_3}]\oplus\mathbb{Z}[\boldsymbol{b}^{(1)}_{e_1}]\oplus\mathbb{Z}_2[\boldsymbol{b}^{(1)}_{f_1}]\\
&E_{1}^{2,-1}=\mathbb{Z}[\boldsymbol{b}^{(2)}_{\beta _1}]\oplus\mathbb{Z}[\boldsymbol{b}^{(2)}_{\delta _1}]
\end{align*}\]
\[\begin{align*}
&[X^{(1)}]^{-1}=\left(
\begin{array}{ccc}
a_3 & e_1 & f_1 \\
1 & 0 & 0 \\
0 & 0 & 1 \\
0 & 1 & 0 \\
\end{array}
\right)\\
&[V^{(0)}]^{-1}=\left(
\begin{array}{ccccc}
\text{A}_1 & \text{A}_3 & \text{B}_3 & \text{D}_1 & f_1 \\
0 & 1 & 0 & 0 & 0 \\
0 & 0 & 0 & 0 & 1 \\
0 & 0 & 1 & 0 & 0 \\
0 & 0 & 0 & 1 & 0 \\
1 & 0 & 0 & 0 & 0 \\
\end{array}
\right)\\
&\Lambda^{(0)}=\left(
\begin{array}{cc}
1 & 0 \\
0 & 2 \\
\end{array}
\right)\\
&[V^{(1)}]^{-1}=\left(
\begin{array}{ccc}
a_3 & e_1 & f_1 \\
0 & 1 & 0 \\
1 & 0 & 0 \\
0 & 0 & 1 \\
\end{array}
\right)\\
&\Sigma^{(1)}=\left(
\begin{array}{cc}
1 & 0 \\
0 & 0 \\
\end{array}
\right)
\end{align*}
\]