MSG 119.318 \(A_1\)

\(D^0\) EAZ & character of irrep
A \(\left(0,0,0\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001}\right\} & \left\{m_{100}\right\} & \left\{m_{010}\right\} \\ \text{A}_1 & \text{D} & 1 & -1 & -1 & 1 \\ \text{A}_2 & \text{D} & 1 & -1 & 1 & -1 \\ \text{A}_3 & \text{BDI} & 1 & 1 & -1 & -1 \\ \text{A}_4 & \text{BDI} & 1 & 1 & 1 & 1 \\ \end{array} \right)\)
B \(\left(\frac{1}{2},\frac{1}{2},0\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001}\right\} \\ \text{B}_1 & \text{BDI} & 1 & -1 \\ \text{B}_2 & \text{BDI} & 1 & 1 \\ \end{array} \right)\)
C \(\left(0,0,1\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001}\right\} & \left\{m_{100}\right\} & \left\{m_{010}\right\} \\ \text{C}_1 & \text{D} & 1 & -1 & -1 & 1 \\ \text{C}_2 & \text{D} & 1 & -1 & 1 & -1 \\ \text{C}_3 & \text{BDI} & 1 & 1 & -1 & -1 \\ \text{C}_4 & \text{BDI} & 1 & 1 & 1 & 1 \\ \end{array} \right)\)
D \(\left(\frac{1}{2},\frac{1}{2},\frac{1}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001}\right\} \\ \text{D}_1 & \text{BDI} & 1 & -1 \\ \text{D}_2 & \text{BDI} & 1 & 1 \\ \end{array} \right)\)
E \(\left(0,\frac{1}{2},\frac{1}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{100}\right\} \\ \text{E}_1 & \text{D} & 1 & -1 \\ \text{E}_2 & \text{D} & 1 & 1 \\ \end{array} \right)\)
\(D^1\) EAZ & character of irrep
\(a\) \(\left(0,0,t\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001}\right\} & \left\{m_{100}\right\} & \left\{m_{010}\right\} \\ a_1 & \text{A} & 1 & -1 & -1 & 1 \\ a_2 & \text{A} & 1 & -1 & 1 & -1 \\ a_3 & \text{AI} & 1 & 1 & -1 & -1 \\ a_4 & \text{AI} & 1 & 1 & 1 & 1 \\ \end{array} \right)\)
\(b\) \(\left(\frac{1}{2},\frac{1}{2},\frac{t}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001}\right\} \\ b_1 & \text{AI} & 1 & -1 \\ b_2 & \text{AI} & 1 & 1 \\ \end{array} \right)\)
\(c\) \(\left(\frac{t}{2},\frac{t}{2},1-\frac{t}{2}\right)\) \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ c_1 & \text{AI} & 1 \\ \end{array} \right)\)
\(d\) \(\left(\frac{t}{2},\frac{t}{2},0\right)\) \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ d_1 & \text{BDI} & 1 \\ \end{array} \right)\)
\(e\) \(\left(\frac{t}{2},1-\frac{t}{2},0\right)\) \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ e_1 & \text{BDI} & 1 \\ \end{array} \right)\)
\(f\) \(\left(\frac{1-t}{2},\frac{1}{2},\frac{1}{2}\right)\) \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ f_1 & \text{D} & 1 \\ \end{array} \right)\)
\(g\) \(\left(0,t,0\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{100}\right\} \\ g_1 & \text{D} & 1 & -1 \\ g_2 & \text{D} & 1 & 1 \\ \end{array} \right)\)
\(h\) \(\left(0,\frac{t}{2},1-\frac{t}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{100}\right\} \\ h_1 & \text{A} & 1 & -1 \\ h_2 & \text{A} & 1 & 1 \\ \end{array} \right)\)