Properties

 Label 1.4.3.3.1a Name $$E_3$$ Weight 1 Degree 4 Real dimension 3 Components 3 Contained in $$\mathrm{USp}(4)$$ Identity Component $$\mathrm{SU}(2)_2$$ Component group $$C_3$$

Invariants

 Weight: $1$ Degree: $4$ $\mathbb{R}$-dimension: $3$ Components: $3$ Contained in: $\mathrm{USp}(4)$ Rational: $\mathrm{True}$

Identity Component

 Name: $\mathrm{SU}(2)_2$ Index: $3$ $\mathbb{R}$-dimension: $3$ Description: $\left\{\begin{bmatrix}A&0\\0&\bar{A}\end{bmatrix}: A\in \mathrm{SU}(2)\right\}$

Component Group

 Name: $C_3$ Order: $3$ Abelian: $\mathrm{True}$

Moment Statistics

$x$ $\mathrm{E}[x^{0}]$ $\mathrm{E}[x^{1}]$ $\mathrm{E}[x^{2}]$ $\mathrm{E}[x^{3}]$ $\mathrm{E}[x^{4}]$ $\mathrm{E}[x^{5}]$ $\mathrm{E}[x^{6}]$ $\mathrm{E}[x^{7}]$ $\mathrm{E}[x^{8}]$ $\mathrm{E}[x^{9}]$ $\mathrm{E}[x^{10}]$ $\mathrm{E}[x^{11}]$ $\mathrm{E}[x^{12}]$
$a_1$ $1$ $0$ $2$ $0$ $12$ $0$ $110$ $0$ $1204$ $0$ $14364$ $0$ $180312$
$a_2$ $1$ $1$ $4$ $13$ $52$ $222$ $1014$ $4839$ $23860$ $120526$ $620278$ $3239788$ $17127202$