Dirichlet character χ132300(66151,⋅)\chi_{132300}(66151,\cdot)

• Label: 132300.66151
• Modulus: $132300$
• Conductor: $4$
• Order: $2$
• Real: yes
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$132300$
Conductor:	$4$
Order:	$2$
Real:	yes
Primitive:	no, induced from $\chi_{4}(3,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 132300.h

$\chi_{132300}(66151,\cdot)$

Related number fields

Field of values:	$\Q$
Fixed field:	$\Q(\sqrt{-1})$

Values on generators

$(66151,122501,15877,54001)$ → $(-1,1,1,1)$

First values

$a$	$-1$	$1$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 132300 }(66151, a)$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$-1$