# Properties

 Label 1.4.4.1.1a Name $$G_{1,3}$$ Weight 1 Degree 4 Real dimension 4 Components 1 Contained in $$\mathrm{USp}(4)$$ Identity Component $$\mathrm{U}(1)\times\mathrm{SU}(2)$$ Component group $$C_1$$

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## Invariants

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

## Identity Component

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

## Moment Statistics

$x$ $\mathrm{E}[x^{0}]$ $\mathrm{E}[x^{1}]$ $\mathrm{E}[x^{2}]$ $\mathrm{E}[x^{3}]$ $\mathrm{E}[x^{4}]$ $\mathrm{E}[x^{5}]$ $\mathrm{E}[x^{6}]$ $\mathrm{E}[x^{7}]$ $\mathrm{E}[x^{8}]$ $\mathrm{E}[x^{9}]$ $\mathrm{E}[x^{10}]$ $\mathrm{E}[x^{11}]$ $\mathrm{E}[x^{12}]$
$a_1$ $1$ $0$ $3$ $0$ $20$ $0$ $175$ $0$ $1764$ $0$ $19404$ $0$ $226512$
$a_2$ $1$ $2$ $6$ $20$ $76$ $312$ $1364$ $6232$ $29460$ $142952$ $708328$ $3570096$ $18251248$