Properties

Label 0.1.3546
  
Name \(\mu(3546)\)
Weight $0$
Degree $1$
Real dimension $0$
Components $3546$
Contained in \(\mathrm{O}(1)\)
Identity component \(\mathrm{SO}(1)\)
Component group \(C_{3546}\)

Learn more

Invariants

Weight:$0$
Degree:$1$
$\mathbb{R}$-dimension:$0$
Components:$3546$
Contained in:$\mathrm{O}(1)$
Rational:yes

Identity component

Name:$\mathrm{SO}(1)$
$\mathbb{R}$-dimension:$0$
Description:$\textsf{trivial}$

Component group

Name:$C_{3546}$
Order:$3546$
Abelian:yes
Generators:$\begin{bmatrix}\zeta_{3546}\end{bmatrix}$

Subgroups and supergroups

Maximal subgroups:$\mu(1773)$, $\mu(1182)$, $\mu(18)$
Minimal supergroups:$\mu(7092)$, $\mu(10638)$, $\mu(17730)$, $\cdots$

Moment sequences

$x$ $\mathrm{E}[x^{0}]$ $\mathrm{E}[x^{1}]$ $\mathrm{E}[x^{2}]$ $\mathrm{E}[x^{3}]$ $\mathrm{E}[x^{4}]$ $\mathrm{E}[x^{5}]$ $\mathrm{E}[x^{6}]$ $\mathrm{E}[x^{7}]$ $\mathrm{E}[x^{8}]$ $\mathrm{E}[x^{9}]$ $\mathrm{E}[x^{10}]$ $\mathrm{E}[x^{11}]$ $\mathrm{E}[x^{12}]$
$a_1$ $1$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$ $0$

Event probabilities

$\mathrm{Pr}[a_1=1]=1/3546$