MSG 176.144
\[\begin{align*}
&E_{2}^{1,-1}=\mathbb{Z}\\
&E_{1}^{0,-1}=\mathbb{Z}[\boldsymbol{b}^{(0)}_{\text{D}_2}]\\
&E_{1}^{1,-1}=\mathbb{Z}[\boldsymbol{b}^{(1)}_{b_2}]\\
&E_{1}^{2,-1}=0
\end{align*}\]
\[\begin{align*}
&[X^{(1)}]^{-1}=\left(
\begin{array}{c}
b_2 \\
1 \\
\end{array}
\right)\\
&[V^{(0)}]^{-1}=\left(
\begin{array}{c}
\text{D}_2 \\
1 \\
\end{array}
\right)\\
&\Lambda^{(0)}=\left(
\begin{array}{c}
0 \\
\end{array}
\right)
\end{align*}
\]