Dirichlet character χ160(79,⋅)\chi_{160}(79,\cdot)

• Label: 160.79
• Modulus: $160$
• Conductor: $40$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$160$
Conductor:	$40$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{40}(19,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 160.e

$\chi_{160}(79,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{-10})$

Values on generators

$(31,101,97)$ → $(-1,-1,-1)$

First values

$a$	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$19$	$21$	$23$	$27$
$\chi_{ 160 }(79, a)$	$-1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$-1$

Gauss sum

Jacobi sum

Kloosterman sum