# Properties

 Label 1.4.2.1.1a Name $$F$$ Weight 1 Degree 4 Real dimension 2 Components 1 Contained in $$\mathrm{USp}(4)$$ Identity Component $$\mathrm{U}(1)\times\mathrm{U}(1)$$ Component group $$C_1$$

## Invariants

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

## Identity Component

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

## Moment Statistics

$x$ $\mathrm{E}[x^{0}]$ $\mathrm{E}[x^{1}]$ $\mathrm{E}[x^{2}]$ $\mathrm{E}[x^{3}]$ $\mathrm{E}[x^{4}]$ $\mathrm{E}[x^{5}]$ $\mathrm{E}[x^{6}]$ $\mathrm{E}[x^{7}]$ $\mathrm{E}[x^{8}]$ $\mathrm{E}[x^{9}]$ $\mathrm{E}[x^{10}]$ $\mathrm{E}[x^{11}]$ $\mathrm{E}[x^{12}]$
$a_1$ $1$ $0$ $4$ $0$ $36$ $0$ $400$ $0$ $4900$ $0$ $63504$ $0$ $853776$
$a_2$ $1$ $2$ $8$ $32$ $148$ $712$ $3584$ $18496$ $97444$ $521096$ $2820448$ $15414016$ $84917584$