Dirichlet character χ483(323,⋅)\chi_{483}(323,\cdot)

• Label: 483.323
• Modulus: $483$
• Conductor: $3$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$483$
Conductor:	$3$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{3}(2,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 483.b

$\chi_{483}(323,\cdot)$

Related number fields

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

Values on generators

$(323,346,442)$ → $(-1,1,1)$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$13$	$16$	$17$	$19$
$\chi_{ 483 }(323, a)$	$-1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$1$

Gauss sum

Jacobi sum

Kloosterman sum