MSG 47.251 \(A_1\)

\(D^0\) EAZ & character of irrep
A \(\left(0,0,0\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{100}\right\} & \left\{m_{010}\right\} & \left\{m_{001}\right\} \\ \text{A}_1 & \text{BDI} & 2 & 0 & 0 & 0 \\ \end{array} \right)\)
B \(\left(\frac{1}{2},0,0\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{100}\right\} & \left\{m_{010}\right\} & \left\{m_{001}\right\} \\ \text{B}_1 & \text{BDI} & 2 & 0 & 0 & 0 \\ \end{array} \right)\)
C \(\left(\frac{1}{2},\frac{1}{2},0\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{100}\right\} & \left\{m_{010}\right\} & \left\{m_{001}\right\} \\ \text{C}_1 & \text{BDI} & 2 & 0 & 0 & 0 \\ \end{array} \right)\)
D \(\left(0,\frac{1}{2},0\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{100}\right\} & \left\{m_{010}\right\} & \left\{m_{001}\right\} \\ \text{D}_1 & \text{BDI} & 2 & 0 & 0 & 0 \\ \end{array} \right)\)
E \(\left(0,0,\frac{1}{2}\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{100}\right\} & \left\{m_{010}\right\} & \left\{m_{001}\right\} \\ \text{E}_1 & \text{BDI} & 2 & 0 & 0 & 0 \\ \end{array} \right)\)
F \(\left(\frac{1}{2},0,\frac{1}{2}\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{100}\right\} & \left\{m_{010}\right\} & \left\{m_{001}\right\} \\ \text{F}_1 & \text{BDI} & 2 & 0 & 0 & 0 \\ \end{array} \right)\)
G \(\left(\frac{1}{2},\frac{1}{2},\frac{1}{2}\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{100}\right\} & \left\{m_{010}\right\} & \left\{m_{001}\right\} \\ \text{G}_1 & \text{BDI} & 2 & 0 & 0 & 0 \\ \end{array} \right)\)
H \(\left(0,\frac{1}{2},\frac{1}{2}\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{100}\right\} & \left\{m_{010}\right\} & \left\{m_{001}\right\} \\ \text{H}_1 & \text{BDI} & 2 & 0 & 0 & 0 \\ \end{array} \right)\)
\(D^1\) EAZ & character of irrep
\(a\) \(\left(\frac{t}{2},0,0\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{100}\right\} & \left\{m_{010}\right\} & \left\{m_{001}\right\} \\ a_1 & \text{AI} & 2 & 0 & 0 & 0 \\ \end{array} \right)\)
\(b\) \(\left(0,\frac{t}{2},0\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{001}\right\} \\ b_1 & \text{D} & 1 & -\mathrm{i} \\ b_2 & \text{D} & 1 &\mathrm{i}\\ \end{array} \right)\)
\(c\) \(\left(\frac{1}{2},\frac{t}{2},0\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{001}\right\} \\ c_1 & \text{D} & 1 & -\mathrm{i} \\ c_2 & \text{D} & 1 &\mathrm{i}\\ \end{array} \right)\)
\(d\) \(\left(\frac{1-t}{2},\frac{1}{2},0\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{100}\right\} & \left\{m_{010}\right\} & \left\{m_{001}\right\} \\ d_1 & \text{AI} & 2 & 0 & 0 & 0 \\ \end{array} \right)\)
\(e\) \(\left(\frac{t}{2},0,\frac{1}{2}\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{100}\right\} & \left\{m_{010}\right\} & \left\{m_{001}\right\} \\ e_1 & \text{AI} & 2 & 0 & 0 & 0 \\ \end{array} \right)\)
\(f\) \(\left(0,\frac{t}{2},\frac{1}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{001}\right\} \\ f_1 & \text{D} & 1 & -\mathrm{i} \\ f_2 & \text{D} & 1 &\mathrm{i}\\ \end{array} \right)\)
\(g\) \(\left(\frac{1}{2},\frac{t}{2},\frac{1}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{001}\right\} \\ g_1 & \text{D} & 1 & -\mathrm{i} \\ g_2 & \text{D} & 1 &\mathrm{i}\\ \end{array} \right)\)
\(h\) \(\left(\frac{1-t}{2},\frac{1}{2},\frac{1}{2}\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{100}\right\} & \left\{m_{010}\right\} & \left\{m_{001}\right\} \\ h_1 & \text{AI} & 2 & 0 & 0 & 0 \\ \end{array} \right)\)
\(i\) \(\left(0,0,\frac{t}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{010}\right\} \\ i_1 & \text{D} & 1 & -\mathrm{i} \\ i_2 & \text{D} & 1 &\mathrm{i}\\ \end{array} \right)\)
\(j\) \(\left(\frac{1}{2},0,\frac{t}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{010}\right\} \\ j_1 & \text{D} & 1 & -\mathrm{i} \\ j_2 & \text{D} & 1 &\mathrm{i}\\ \end{array} \right)\)
\(k\) \(\left(\frac{1}{2},\frac{1}{2},\frac{t}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{010}\right\} \\ k_1 & \text{D} & 1 & -\mathrm{i} \\ k_2 & \text{D} & 1 &\mathrm{i}\\ \end{array} \right)\)
\(l\) \(\left(0,\frac{1}{2},\frac{t}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{010}\right\} \\ l_1 & \text{D} & 1 & -\mathrm{i} \\ l_2 & \text{D} & 1 &\mathrm{i}\\ \end{array} \right)\)