MSG 136.502
\[\begin{align*}
&E_{2}^{1,-1}=0\\
&E_{1}^{0,-1}=\mathbb{Z}_2[\boldsymbol{b}^{(1)}_{\text{A}_1}]\oplus\mathbb{Z}_2[\boldsymbol{b}^{(1)}_{\text{A}_2}]\oplus\mathbb{Z}_2[\boldsymbol{b}^{(1)}_{\text{D}_1}]\oplus\mathbb{Z}_2[\boldsymbol{b}^{(1)}_{\text{D}_2}]\\
&E_{1}^{1,-1}=\mathbb{Z}_2[\boldsymbol{b}^{(1)}_{g_1}]\\
&E_{1}^{2,-1}=0
\end{align*}\]
\[\begin{align*}
&[X^{(1)}]^{-1}=\left(
\begin{array}{c}
g_1 \\
1 \\
\end{array}
\right)\\
&[V^{(0)}]^{-1}=\left(
\begin{array}{cccc}
\text{A}_1 & \text{A}_2 & \text{D}_1 & \text{D}_2 \\
1 & 1 & 1 & 1 \\
0 & 1 & 0 & 0 \\
0 & 0 & 1 & 0 \\
0 & 0 & 0 & 1 \\
\end{array}
\right)\\
&\Lambda^{(0)}=\left(
\begin{array}{cccc}
1 & 0 & 0 & 0 \\
\end{array}
\right)\\
\end{align*}
\]