# Properties

 Label 1.4.2.2.1a Name $$F_a$$ Weight 1 Degree 4 Real dimension 2 Components 2 Contained in $$\mathrm{USp}(4)$$ Identity Component $$\mathrm{U}(1)\times\mathrm{U}(1)$$ Component group $$C_2$$

## Invariants

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

## Identity Component

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

## Component Group

 Name: $C_2$ Order: $2$ Abelian: $\mathrm{True}$

## Moment Statistics

$x$ $\mathrm{E}[x^{0}]$ $\mathrm{E}[x^{1}]$ $\mathrm{E}[x^{2}]$ $\mathrm{E}[x^{3}]$ $\mathrm{E}[x^{4}]$ $\mathrm{E}[x^{5}]$ $\mathrm{E}[x^{6}]$ $\mathrm{E}[x^{7}]$ $\mathrm{E}[x^{8}]$ $\mathrm{E}[x^{9}]$ $\mathrm{E}[x^{10}]$ $\mathrm{E}[x^{11}]$ $\mathrm{E}[x^{12}]$
$a_1$ $1$ $0$ $3$ $0$ $21$ $0$ $210$ $0$ $2485$ $0$ $31878$ $0$ $427350$
$a_2$ $1$ $2$ $6$ $20$ $82$ $372$ $1824$ $9312$ $48850$ $260804$ $1410736$ $7708032$ $42460840$

## Event Probabilities

 $\mathrm{P}[a_2=2]=\frac{1}{2}$