Properties

 Label 1.4.2.4.1a Name $$F_{ac}$$ Weight 1 Degree 4 Real dimension 2 Components 4 Contained in $$\mathrm{USp}(4)$$ Identity Component $$\mathrm{U}(1)\times\mathrm{U}(1)$$ Component group $$C_4$$

Invariants

 Weight: $1$ Degree: $4$ $\mathbb{R}$-dimension: $2$ Components: $4$ Contained in: $\mathrm{USp}(4)$ Rational: $\mathrm{True}$

Identity Component

 Name: $\mathrm{U}(1)\times\mathrm{U}(1)$ Index: $4$ $\mathbb{R}$-dimension: $2$ Description: $\left\{\begin{bmatrix}A&0\\0&B\end{bmatrix}: A,B\in \mathrm{U}(1)\right\}$

Component Group

 Name: $C_4$ Order: $4$ Abelian: $\mathrm{True}$

Moment Statistics

$x$ $\mathrm{E}[x^{0}]$ $\mathrm{E}[x^{1}]$ $\mathrm{E}[x^{2}]$ $\mathrm{E}[x^{3}]$ $\mathrm{E}[x^{4}]$ $\mathrm{E}[x^{5}]$ $\mathrm{E}[x^{6}]$ $\mathrm{E}[x^{7}]$ $\mathrm{E}[x^{8}]$ $\mathrm{E}[x^{9}]$ $\mathrm{E}[x^{10}]$ $\mathrm{E}[x^{11}]$ $\mathrm{E}[x^{12}]$
$a_1$ $1$ $0$ $1$ $0$ $9$ $0$ $100$ $0$ $1225$ $0$ $15876$ $0$ $213444$
$a_2$ $1$ $1$ $3$ $10$ $41$ $186$ $912$ $4656$ $24425$ $130402$ $705368$ $3854016$ $21230420$

Event Probabilities

 $\mathrm{P}[a_1=0]=\frac{3}{4}$ $\mathrm{P}[a_2=0]=\frac{2}{4}$ $\mathrm{P}[a_2=2]=\frac{1}{4}$