\(D^0\) | EAZ & character of irrep | |
A | \(\left(0,0,0\right)\) | \(\left( \begin{array}{cccccccc} \text{} & \text{EAZ} & \{1\} & \left\{3_{001}\right\} & \left\{3^-{}_{001}\right\} & \left\{m_{100},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{m_{\text{10-1}},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{m_{\text{01-1}},\left\{0,0,\frac{1}{2}\right\}\right\} \\ \text{A}_1 & \text{A} & 1 & 1 & 1 & -1 & -1 & -1 \\ \text{A}_2 & \text{A} & 1 & 1 & 1 & 1 & 1 & 1 \\ \text{A}_3 & \text{D} & 2 & -1 & -1 & 0 & 0 & 0 \\ \end{array} \right)\) |
B | \(\left(0,0,\frac{3}{2}\right)\) | \(\left( \begin{array}{cccccccc} \text{} & \text{EAZ} & \{1\} & \left\{3_{001}\right\} & \left\{3^-{}_{001}\right\} & \left\{m_{100},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{m_{\text{10-1}},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{m_{\text{01-1}},\left\{0,0,\frac{1}{2}\right\}\right\} \\ \text{B}_1 & \text{C} & 1 & 1 & 1 & -\mathrm{i} & -\mathrm{i} & -\mathrm{i} \\ \text{B}_2 & \text{C} & 1 & 1 & 1 &\mathrm{i}&\mathrm{i}&\mathrm{i}\\ \text{B}_3 & \text{C} & 2 & -1 & -1 & 0 & 0 & 0 \\ \end{array} \right)\) |
C | \(\left(\frac{1}{2},\frac{1}{2 \sqrt{3}},\frac{1}{2}\right)\) | \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{\text{01-1}},\left\{0,0,\frac{1}{2}\right\}\right\} \\ \text{C}_1 & \text{C} & 1 &\mathrm{i}\\ \text{C}_2 & \text{C} & 1 & -\mathrm{i} \\ \end{array} \right)\) |
D | \(\left(0,\frac{1}{\sqrt{3}},1\right)\) | \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{100},\left\{0,0,\frac{1}{2}\right\}\right\} \\ \text{D}_1 & \text{A} & 1 & 1 \\ \text{D}_2 & \text{A} & 1 & -1 \\ \end{array} \right)\) |
\(D^1\) | EAZ & character of irrep | |
\(a\) | \(\left(0,0,\frac{3 t}{2}\right)\) | \(\left( \begin{array}{cccccccc} \text{} & \text{EAZ} & \{1\} & \left\{3_{001}\right\} & \left\{3^-{}_{001}\right\} & \left\{m_{100},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{m_{\text{10-1}},\left\{0,0,\frac{1}{2}\right\}\right\} & \left\{m_{\text{01-1}},\left\{0,0,\frac{1}{2}\right\}\right\} \\ a_1 & \text{A} & 1 & 1 & 1 & -e^{-\frac{3}{2}\mathrm{i}\pi t} & -e^{-\frac{3}{2}\mathrm{i}\pi t} & -e^{-\frac{3}{2}\mathrm{i}\pi t} \\ a_2 & \text{A} & 1 & 1 & 1 & e^{-\frac{3}{2}\mathrm{i}\pi t} & e^{-\frac{3}{2}\mathrm{i}\pi t} & e^{-\frac{3}{2}\mathrm{i}\pi t} \\ a_3 & \text{A} & 2 & -1 & -1 & 0 & 0 & 0 \\ \end{array} \right)\) |
\(b\) | \(\left(0,\frac{t}{\sqrt{3}},\frac{3-t}{2}\right)\) | \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{100},\left\{0,0,\frac{1}{2}\right\}\right\} \\ b_1 & \text{A} & 1 & -\mathrm{i} e^{\frac{i \pi t}{2}} \\ b_2 & \text{A} & 1 & e^{\frac{1}{2}\mathrm{i}\pi (t-3)} \\ \end{array} \right)\) |
\(c\) | \(\left(\frac{t}{2},\frac{t}{2 \sqrt{3}},\frac{3}{2}-t\right)\) | \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{\text{01-1}},\left\{0,0,\frac{1}{2}\right\}\right\} \\ c_1 & \text{A} & 1 & -\mathrm{i} e^{i \pi t} \\ c_2 & \text{A} & 1 &\mathrm{i}e^{i \pi t} \\ \end{array} \right)\) |
\(d\) | \(\left(0,\frac{2 t}{\sqrt{3}},\frac{t}{2}\right)\) | \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{m_{100},\left\{0,0,\frac{1}{2}\right\}\right\} \\ d_1 & \text{A} & 1 & -e^{-\frac{1}{2}\mathrm{i}\pi t} \\ d_2 & \text{A} & 1 & e^{-\frac{1}{2}\mathrm{i}\pi t} \\ \end{array} \right)\) |
\(e\) | \(\left(\frac{t}{2},\frac{\sqrt{3} t}{2},0\right)\) | \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ e_1 & \text{D} & 1 \\ \end{array} \right)\) |
\(f\) | \(\left(\frac{1-t}{2},\frac{3 t+1}{2 \sqrt{3}},\frac{1}{2}\right)\) | \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ f_1 & \text{C} & 1 \\ \end{array} \right)\) |