MSG 43.226

\(D^0\) EAZ & character of irrep
A \(\left(0,0,0\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{010},\left\{\frac{1}{4},\frac{1}{4},\frac{1}{4}\right\}\right\} \\ \text{A}_1 & \text{AI} & 1 & -1 \\ \text{A}_2 & \text{AI} & 1 & 1 \\ \end{array} \right)\)
B \(\left(0,1,0\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{010},\left\{\frac{1}{4},\frac{1}{4},\frac{1}{4}\right\}\right\} \\ \text{B}_1 & \text{A} & 1 & -1 \\ \text{B}_2 & \text{A} & 1 & 1 \\ \end{array} \right)\)
C \(\left(0,0,1\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{010},\left\{\frac{1}{4},\frac{1}{4},\frac{1}{4}\right\}\right\} \\ \text{C}_1 & \text{A} & 1 &\mathrm{i}\\ \text{C}_2 & \text{A} & 1 & -\mathrm{i} \\ \end{array} \right)\)
D \(\left(1,0,0\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{010},\left\{\frac{1}{4},\frac{1}{4},\frac{1}{4}\right\}\right\} \\ \text{D}_1 & \text{AI} & 1 &\mathrm{i}\\ \text{D}_2 & \text{AI} & 1 & -\mathrm{i} \\ \end{array} \right)\)
\(D^1\) EAZ & character of irrep
\(a\) \(\left(t,0,0\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{010},\left\{\frac{1}{4},\frac{1}{4},\frac{1}{4}\right\}\right\} \\ a_1 & \text{AI} & 1 & -e^{-\frac{1}{2}\mathrm{i}\pi t} \\ a_2 & \text{AI} & 1 & e^{-\frac{1}{2}\mathrm{i}\pi t} \\ \end{array} \right)\)
\(b\) \(\left(-t,0,0\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{010},\left\{\frac{1}{4},\frac{1}{4},\frac{1}{4}\right\}\right\} \\ b_1 & \text{AI} & 1 & -e^{\frac{i \pi t}{2}} \\ b_2 & \text{AI} & 1 & e^{\frac{i \pi t}{2}} \\ \end{array} \right)\)
\(c\) \(\left(t,0,1\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{010},\left\{\frac{1}{4},\frac{1}{4},\frac{1}{4}\right\}\right\} \\ c_1 & \text{A} & 1 &\mathrm{i}e^{-\frac{1}{2}\mathrm{i}\pi t} \\ c_2 & \text{A} & 1 & e^{-\frac{1}{2}\mathrm{i}\pi (t+1)} \\ \end{array} \right)\)
\(d\) \(\left(-t,0,1\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{010},\left\{\frac{1}{4},\frac{1}{4},\frac{1}{4}\right\}\right\} \\ d_1 & \text{A} & 1 &\mathrm{i}e^{\frac{i \pi t}{2}} \\ d_2 & \text{A} & 1 & e^{\frac{1}{2}\mathrm{i}\pi (t-1)} \\ \end{array} \right)\)
\(e\) \(\left(0,1,t\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{010},\left\{\frac{1}{4},\frac{1}{4},\frac{1}{4}\right\}\right\} \\ e_1 & \text{A} & 1 & -e^{-\frac{1}{2}\mathrm{i}\pi t} \\ e_2 & \text{A} & 1 & e^{-\frac{1}{2}\mathrm{i}\pi t} \\ \end{array} \right)\)
\(f\) \(\left(t,1-t,0\right)\) \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ f_1 & \text{AI} & 1 \\ \end{array} \right)\)
\(g\) \(\left(-t,1-t,0\right)\) \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ g_1 & \text{AI} & 1 \\ \end{array} \right)\)