MSG 88.84

\(D^0\) EAZ & character of irrep
A \(\left(0,0,1\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{4_{001},\left\{\frac{3}{4},\frac{1}{4},\frac{1}{4}\right\}\right\} & \left\{4^-{}_{001},\left\{\frac{1}{4},\frac{1}{4},\frac{1}{4}\right\}\right\} & \left\{2_{001},\left\{0,\frac{1}{2},0\right\}\right\} \\ \text{A}_1 & \text{A} & 1 & (-1)^{3/4} & -\sqrt[4]{-1} &\mathrm{i}\\ \text{A}_2 & \text{A} & 1 & \sqrt[4]{-1} & -(-1)^{3/4} & -\mathrm{i} \\ \text{A}_3 & \text{A} & 1 & -\sqrt[4]{-1} & (-1)^{3/4} & -\mathrm{i} \\ \text{A}_4 & \text{A} & 1 & -(-1)^{3/4} & \sqrt[4]{-1} &\mathrm{i}\\ \end{array} \right)\)
B \(\left(\frac{1}{2},\frac{1}{2},\frac{1}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001},\left\{0,\frac{1}{2},0\right\}\right\} \\ \text{B}_1 & \text{AII} & 1 &\mathrm{i}\\ \text{B}_2 & \text{AII} & 1 & -\mathrm{i} \\ \end{array} \right)\)
\(D^1\) EAZ & character of irrep
\(a\) \(\left(0,0,2 t-1\right)\) \(\left( \begin{array}{cccccc} \text{} & \text{EAZ} & \{1\} & \left\{4_{001},\left\{\frac{3}{4},\frac{1}{4},\frac{1}{4}\right\}\right\} & \left\{4^-{}_{001},\left\{\frac{1}{4},\frac{1}{4},\frac{1}{4}\right\}\right\} & \left\{2_{001},\left\{0,\frac{1}{2},0\right\}\right\} \\ a_1 & \text{A} & 1 & -(-1)^{3/4} e^{-\mathrm{i} \pi t} & \sqrt[4]{-1} e^{-\mathrm{i} \pi t} &\mathrm{i}\\ a_2 & \text{A} & 1 & -\sqrt[4]{-1} e^{-\mathrm{i} \pi t} & (-1)^{3/4} e^{-\mathrm{i} \pi t} & -\mathrm{i} \\ a_3 & \text{A} & 1 & \sqrt[4]{-1} e^{-\mathrm{i} \pi t} & -(-1)^{3/4} e^{-\mathrm{i} \pi t} & -\mathrm{i} \\ a_4 & \text{A} & 1 & (-1)^{3/4} e^{-\mathrm{i} \pi t} & -\sqrt[4]{-1} e^{-\mathrm{i} \pi t} &\mathrm{i}\\ \end{array} \right)\)
\(b\) \(\left(\frac{1}{2},\frac{1}{2},t-\frac{1}{2}\right)\) \(\left( \begin{array}{cccc} \text{} & \text{EAZ} & \{1\} & \left\{2_{001},\left\{0,\frac{1}{2},0\right\}\right\} \\ b_1 & \text{AII} & 1 &\mathrm{i}\\ b_2 & \text{AII} & 1 & -\mathrm{i} \\ \end{array} \right)\)
\(c\) \(\left(\frac{t}{2},\frac{t}{2},1-\frac{t}{2}\right)\) \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ c_1 & \text{AII} & 1 \\ \end{array} \right)\)
\(d\) \(\left(\frac{t}{2},1-\frac{t}{2},\frac{t}{2}\right)\) \(\left( \begin{array}{ccc} \text{} & \text{EAZ} & \{1\} \\ d_1 & \text{AII} & 1 \\ \end{array} \right)\)