MSG 104.206
\[\begin{align*}
&E_{2}^{1,-1}=\mathbb{Z}_2\\
&E_{1}^{0,-1}=\mathbb{Z}_2[\boldsymbol{b}^{(1)}_{\text{A}_1}]\oplus\mathbb{Z}_2[\boldsymbol{b}^{(1)}_{\text{C}_1}]\\
&E_{1}^{1,-1}=\mathbb{Z}_2[\boldsymbol{b}^{(1)}_{c_1}]\\
&E_{1}^{2,-1}=0
\end{align*}\]
\[\begin{align*}
&[X^{(1)}]^{-1}=\left(
\begin{array}{c}
c_1 \\
1 \\
\end{array}
\right)\\
\end{align*}
\]