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