Ih

alligned paragraph text

Example

	$\text{E} \,{\text{(1)}}$	$C_5 \,{\text{(12)}}$	$C_5^2{} \,{\text{(12)}}$	$C_3 \,{\text{(20)}}$	$C_2 \,{\text{(15)}}$	$\text{i} \,{\text{(1)}}$	$S_{10} \,{\text{(12)}}$	$S_{10}^3{} \,{\text{(12)}}$	$S_6 \,{\text{(20)}}$	$\sigma_h \,{\text{(15)}}$
$A_g$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$T_{1g}$	$3$	$\frac{1}{2} \left(1+\sqrt{5}\right)$	$\frac{1}{2} \left(1-\sqrt{5}\right)$	$0$	$-1$	$3$	$\frac{1}{2} \left(1-\sqrt{5}\right)$	$\frac{1}{2} \left(1+\sqrt{5}\right)$	$0$	$-1$
$T_{2g}$	$3$	$\frac{1}{2} \left(1-\sqrt{5}\right)$	$\frac{1}{2} \left(1+\sqrt{5}\right)$	$0$	$-1$	$3$	$\frac{1}{2} \left(1+\sqrt{5}\right)$	$\frac{1}{2} \left(1-\sqrt{5}\right)$	$0$	$-1$
$G_g$	$4$	$-1$	$-1$	$1$	$0$	$4$	$-1$	$-1$	$1$	$0$
$H_g$	$5$	$0$	$0$	$-1$	$1$	$5$	$0$	$0$	$-1$	$1$
$A_u$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$-1$
$T_{1u}$	$3$	$\frac{1}{2} \left(1+\sqrt{5}\right)$	$\frac{1}{2} \left(1-\sqrt{5}\right)$	$0$	$-1$	$-3$	$\frac{1}{2} \left(-1+\sqrt{5}\right)$	$\frac{1}{2} \left(-1-\sqrt{5}\right)$	$0$	$1$
$T_{2u}$	$3$	$\frac{1}{2} \left(1-\sqrt{5}\right)$	$\frac{1}{2} \left(1+\sqrt{5}\right)$	$0$	$-1$	$-3$	$\frac{1}{2} \left(-1-\sqrt{5}\right)$	$\frac{1}{2} \left(-1+\sqrt{5}\right)$	$0$	$1$
$G_u$	$4$	$-1$	$-1$	$1$	$0$	$-4$	$1$	$1$	$-1$	$0$
$H_u$	$5$	$0$	$0$	$-1$	$1$	$-5$	$0$	$0$	$1$	$-1$

	$A_g$	$T_{1g}$	$T_{2g}$	$G_g$	$H_g$	$A_u$	$T_{1u}$	$T_{2u}$	$G_u$	$H_u$
$A_g$	$A_g$	$T_{1g}$	$T_{2g}$	$G_g$	$H_g$	$A_u$	$T_{1u}$	$T_{2u}$	$G_u$	$H_u$
$T_{1g}$	$T_{1g}$	$A_g+H_g+T_{1g}$	$G_g+H_g$	$G_g+H_g+T_{2g}$	$G_g+H_g+T_{1g}+T_{2g}$	$T_{1u}$	$A_u+H_u+T_{1u}$	$G_u+H_u$	$G_u+H_u+T_{2u}$	$G_u+H_u+T_{1u}+T_{2u}$
$T_{2g}$	$T_{2g}$	$G_g+H_g$	$A_g+H_g+T_{2g}$	$G_g+H_g+T_{1g}$	$G_g+H_g+T_{1g}+T_{2g}$	$T_{2u}$	$G_u+H_u$	$A_u+H_u+T_{2u}$	$G_u+H_u+T_{1u}$	$G_u+H_u+T_{1u}+T_{2u}$
$G_g$	$G_g$	$G_g+H_g+T_{2g}$	$G_g+H_g+T_{1g}$	$A_g+G_g+H_g+T_{1g}+T_{2g}$	$G_g+2 H_g+T_{1g}+T_{2g}$	$G_u$	$G_u+H_u+T_{2u}$	$G_u+H_u+T_{1u}$	$A_u+G_u+H_u+T_{1u}+T_{2u}$	$G_u+2 H_u+T_{1u}+T_{2u}$
$H_g$	$H_g$	$G_g+H_g+T_{1g}+T_{2g}$	$G_g+H_g+T_{1g}+T_{2g}$	$G_g+2 H_g+T_{1g}+T_{2g}$	$A_g+2 G_g+2 H_g+T_{1g}+T_{2g}$	$H_u$	$G_u+H_u+T_{1u}+T_{2u}$	$G_u+H_u+T_{1u}+T_{2u}$	$G_u+2 H_u+T_{1u}+T_{2u}$	$A_u+2 G_u+2 H_u+T_{1u}+T_{2u}$
$A_u$	$A_u$	$T_{1u}$	$T_{2u}$	$G_u$	$H_u$	$A_g$	$T_{1g}$	$T_{2g}$	$G_g$	$H_g$
$T_{1u}$	$T_{1u}$	$A_u+H_u+T_{1u}$	$G_u+H_u$	$G_u+H_u+T_{2u}$	$G_u+H_u+T_{1u}+T_{2u}$	$T_{1g}$	$A_g+H_g+T_{1g}$	$G_g+H_g$	$G_g+H_g+T_{2g}$	$G_g+H_g+T_{1g}+T_{2g}$
$T_{2u}$	$T_{2u}$	$G_u+H_u$	$A_u+H_u+T_{2u}$	$G_u+H_u+T_{1u}$	$G_u+H_u+T_{1u}+T_{2u}$	$T_{2g}$	$G_g+H_g$	$A_g+H_g+T_{2g}$	$G_g+H_g+T_{1g}$	$G_g+H_g+T_{1g}+T_{2g}$
$G_u$	$G_u$	$G_u+H_u+T_{2u}$	$G_u+H_u+T_{1u}$	$A_u+G_u+H_u+T_{1u}+T_{2u}$	$G_u+2 H_u+T_{1u}+T_{2u}$	$G_g$	$G_g+H_g+T_{2g}$	$G_g+H_g+T_{1g}$	$A_g+G_g+H_g+T_{1g}+T_{2g}$	$G_g+2 H_g+T_{1g}+T_{2g}$
$H_u$	$H_u$	$G_u+H_u+T_{1u}+T_{2u}$	$G_u+H_u+T_{1u}+T_{2u}$	$G_u+2 H_u+T_{1u}+T_{2u}$	$A_u+2 G_u+2 H_u+T_{1u}+T_{2u}$	$H_g$	$G_g+H_g+T_{1g}+T_{2g}$	$G_g+H_g+T_{1g}+T_{2g}$	$G_g+2 H_g+T_{1g}+T_{2g}$	$A_g+2 G_g+2 H_g+T_{1g}+T_{2g}$

Operator	Orientation
$\text{E}$	$\{0,0,0\}$ ,
$C_3$	$\{0,0,1\}$ , $\{0,0,-1\}$ , $\left\{\frac{1}{3} \left(1+\sqrt{3}\right),\frac{1}{3} \left(1-\sqrt{3}\right),\frac{1}{3}\right\}$ , $\left\{\frac{2}{3},\frac{2}{3},-\frac{1}{3}\right\}$ , $\left\{\frac{1}{3} \left(\sqrt{3}-1\right),\frac{1}{3} \left(-1-\sqrt{3}\right),-\frac{1}{3}\right\}$ , $\left\{\frac{1}{3} \left(-1-\sqrt{3}\right),\frac{1}{3} \left(\sqrt{3}-1\right),-\frac{1}{3}\right\}$ , $\left\{-\frac{2}{3},-\frac{2}{3},\frac{1}{3}\right\}$ , $\left\{\frac{1}{3} \left(1-\sqrt{3}\right),\frac{1}{3} \left(1+\sqrt{3}\right),\frac{1}{3}\right\}$ ,
$C_2$	$\{1,-1,0\}$ , $\left\{1+\sqrt{3},\sqrt{3}-1,0\right\}$ , $\left\{1-\sqrt{3},-1-\sqrt{3},0\right\}$ , $\{1,1,-2\}$ , $\left\{1+\sqrt{3},1-\sqrt{3},4\right\}$ , $\left\{\sqrt{3}-1,-1-\sqrt{3},-4\right\}$ ,
$C_4$	$\{1,1,1\}$ , $\{-1,-1,-1\}$ , $\left\{\frac{\sqrt{3}}{2}-\frac{1}{2},-\frac{1}{2}-\frac{\sqrt{3}}{2},1\right\}$ , $\left\{-\frac{1}{2}-\frac{\sqrt{3}}{2},\frac{\sqrt{3}}{2}-\frac{1}{2},1\right\}$ , $\left\{\frac{1}{2}-\frac{\sqrt{3}}{2},\frac{1}{2}+\frac{\sqrt{3}}{2},-1\right\}$ , $\left\{\frac{1}{2}+\frac{\sqrt{3}}{2},\frac{1}{2}-\frac{\sqrt{3}}{2},-1\right\}$ ,
$C_2$	$\{1,1,1\}$ , $\left\{\frac{\sqrt{3}}{2}-\frac{1}{2},-\frac{1}{2}-\frac{\sqrt{3}}{2},1\right\}$ , $\left\{\frac{1}{2}+\frac{\sqrt{3}}{2},\frac{1}{2}-\frac{\sqrt{3}}{2},-1\right\}$ ,
$\text{i}$	$\{0,0,0\}$ ,
$S_4$	$\{1,1,1\}$ , $\{-1,-1,-1\}$ , $\left\{\frac{\sqrt{3}}{2}-\frac{1}{2},-\frac{1}{2}-\frac{\sqrt{3}}{2},1\right\}$ , $\left\{-\frac{1}{2}-\frac{\sqrt{3}}{2},\frac{\sqrt{3}}{2}-\frac{1}{2},1\right\}$ , $\left\{\frac{1}{2}-\frac{\sqrt{3}}{2},\frac{1}{2}+\frac{\sqrt{3}}{2},-1\right\}$ , $\left\{\frac{1}{2}+\frac{\sqrt{3}}{2},\frac{1}{2}-\frac{\sqrt{3}}{2},-1\right\}$ ,
$S_6$	$\{0,0,1\}$ , $\{0,0,-1\}$ , $\left\{\frac{1}{3} \left(1+\sqrt{3}\right),\frac{1}{3} \left(1-\sqrt{3}\right),\frac{1}{3}\right\}$ , $\left\{\frac{2}{3},\frac{2}{3},-\frac{1}{3}\right\}$ , $\left\{\frac{1}{3} \left(\sqrt{3}-1\right),\frac{1}{3} \left(-1-\sqrt{3}\right),-\frac{1}{3}\right\}$ , $\left\{\frac{1}{3} \left(-1-\sqrt{3}\right),\frac{1}{3} \left(\sqrt{3}-1\right),-\frac{1}{3}\right\}$ , $\left\{-\frac{2}{3},-\frac{2}{3},\frac{1}{3}\right\}$ , $\left\{\frac{1}{3} \left(1-\sqrt{3}\right),\frac{1}{3} \left(1+\sqrt{3}\right),\frac{1}{3}\right\}$ ,
$\sigma _h$	$\{1,1,1\}$ , $\left\{\frac{\sqrt{3}}{2}-\frac{1}{2},-\frac{1}{2}-\frac{\sqrt{3}}{2},1\right\}$ , $\left\{\frac{1}{2}+\frac{\sqrt{3}}{2},\frac{1}{2}-\frac{\sqrt{3}}{2},-1\right\}$ ,
$\sigma _d$	$\{1,-1,0\}$ , $\left\{1+\sqrt{3},\sqrt{3}-1,0\right\}$ , $\left\{1-\sqrt{3},-1-\sqrt{3},0\right\}$ , $\{1,1,-2\}$ , $\left\{1+\sqrt{3},1-\sqrt{3},4\right\}$ , $\left\{\sqrt{3}-1,-1-\sqrt{3},-4\right\}$ ,

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