Dirichlet character χ920(411,⋅)\chi_{920}(411,\cdot)

• Label: 920.411
• Modulus: $920$
• Conductor: $184$
• Order: $22$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$920$
Conductor:	$184$
Order:	$22$
Real:	no
Primitive:	no, induced from $\chi_{184}(43,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 920.bb

$\chi_{920}(11,\cdot)$ $\chi_{920}(51,\cdot)$ $\chi_{920}(171,\cdot)$ $\chi_{920}(251,\cdot)$ $\chi_{920}(291,\cdot)$ $\chi_{920}(411,\cdot)$ $\chi_{920}(451,\cdot)$ $\chi_{920}(571,\cdot)$ $\chi_{920}(651,\cdot)$ $\chi_{920}(891,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{11})$
Fixed field:	22.22.339058325839400057321133061640411938816.1

Values on generators

$(231,461,737,281)$ → $(-1,-1,1,e\left(\frac{5}{22}\right))$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$19$	$21$	$27$	$29$
$\chi_{ 920 }(411, a)$	$1$	$1$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{1}{22}\right)$	$e\left(\frac{15}{22}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{9}{22}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{13}{22}\right)$

Gauss sum

Jacobi sum

Kloosterman sum