Dirichlet character χ324(161,⋅)\chi_{324}(161,\cdot)

• Label: 324.161
• Modulus: $324$
• Conductor: $3$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$324$
Conductor:	$3$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{3}(2,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 324.c

$\chi_{324}(161,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{-3})$

Values on generators

$(163,245)$ → $(1,-1)$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{ 324 }(161, a)$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$1$	$-1$	$1$

Gauss sum

Jacobi sum

Kloosterman sum