# Properties

 Label 1.4.6.1.1a Name $$G_{3,3}$$ Weight $1$ Degree $4$ Real dimension $6$ Components $1$ Contained in $$\mathrm{USp}(4)$$ Identity Component $$\mathrm{SU}(2)\times\mathrm{SU}(2)$$ Component group $$C_1$$

## Invariants

 Weight: $1$ Degree: $4$ $\mathbb{R}$-dimension: $6$ Components: $1$ Contained in: $\mathrm{USp}(4)$ Rational: $\mathrm{True}$

## Identity Component

 Name: $\mathrm{SU}(2)\times\mathrm{SU}(2)$ Index: $1$ $\mathbb{R}$-dimension: $6$ Description: $\left\{\begin{bmatrix}A&0\\0&B\end{bmatrix}: A,B\in\mathrm{SU}(2)\right\}$

## Moment Statistics

$x$ $\mathrm{E}[x^{0}]$ $\mathrm{E}[x^{1}]$ $\mathrm{E}[x^{2}]$ $\mathrm{E}[x^{3}]$ $\mathrm{E}[x^{4}]$ $\mathrm{E}[x^{5}]$ $\mathrm{E}[x^{6}]$ $\mathrm{E}[x^{7}]$ $\mathrm{E}[x^{8}]$ $\mathrm{E}[x^{9}]$ $\mathrm{E}[x^{10}]$ $\mathrm{E}[x^{11}]$ $\mathrm{E}[x^{12}]$
$a_1$ $1$ $0$ $2$ $0$ $10$ $0$ $70$ $0$ $588$ $0$ $5544$ $0$ $56628$
$a_2$ $1$ $2$ $5$ $14$ $44$ $152$ $569$ $2270$ $9524$ $41576$ $187348$ $866296$ $4092400$