Dirichlet character χ425(174,⋅)\chi_{425}(174,\cdot)

• Label: 425.174
• Modulus: $425$
• Conductor: $85$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$425$
Conductor:	$85$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{85}(4,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 425.j

$\chi_{425}(149,\cdot)$ $\chi_{425}(174,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	4.4.122825.1

Values on generators

$(52,326)$ → $(-1,-i)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{ 425 }(174, a)$	$1$	$1$	$1$	$i$	$1$	$i$	$-i$	$1$	$-1$	$i$	$i$	$-1$

Gauss sum

Jacobi sum

Kloosterman sum