MSG 147.14

\[\begin{align*} &E_{2}^{1,-1}=\mathbb{Z}^2\\ &E_{1}^{0,-1}=\mathbb{Z}[\boldsymbol{b}^{(0)}_{\text{E}_2}]\\ &E_{1}^{1,-1}=\mathbb{Z}[\boldsymbol{b}^{(1)}_{a_2}]\oplus\mathbb{Z}[\boldsymbol{b}^{(1)}_{b_2}]\\ &E_{1}^{2,-1}=0 \end{align*}\]

\[\begin{align*} &[X^{(1)}]^{-1}=\left( \begin{array}{cc} a_2 & b_2 \\ 1 & 0 \\ 0 & 1 \\ \end{array} \right)\\ &[V^{(0)}]^{-1}=\left( \begin{array}{c} \text{E}_2 \\ 1 \\ \end{array} \right)\\ &\Lambda^{(0)}=\left( \begin{array}{c} 0 \\ 0 \\ \end{array} \right) \end{align*} \]