Dirichlet character χ92(43,⋅)\chi_{92}(43,\cdot)

• Label: 92.43
• Modulus: $92$
• Conductor: $92$
• Order: $22$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$92$
Conductor:	$92$
Order:	$22$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 92.h

$\chi_{92}(7,\cdot)$ $\chi_{92}(11,\cdot)$ $\chi_{92}(15,\cdot)$ $\chi_{92}(19,\cdot)$ $\chi_{92}(43,\cdot)$ $\chi_{92}(51,\cdot)$ $\chi_{92}(63,\cdot)$ $\chi_{92}(67,\cdot)$ $\chi_{92}(79,\cdot)$ $\chi_{92}(83,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{11})$
Fixed field:	$\Q(\zeta_{92})^+$

Values on generators

$(47,5)$ → $(-1,e\left(\frac{5}{22}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$19$	$21$
$\chi_{ 92 }(43, a)$	$1$	$1$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{21}{22}\right)$

Gauss sum

Jacobi sum

Kloosterman sum