Dirichlet character χ2160(107,⋅)\chi_{2160}(107,\cdot)

• Label: 2160.107
• Modulus: $2160$
• Conductor: $240$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2160$
Conductor:	$240$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{240}(107,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 2160.ba

$\chi_{2160}(107,\cdot)$ $\chi_{2160}(323,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	4.0.2304000.1

Values on generators

$(271,1621,2081,1297)$ → $(-1,i,-1,i)$

First values

$a$	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$
$\chi_{ 2160 }(107, a)$	$-1$	$1$	$i$	$i$	$-1$	$-i$	$-i$	$i$	$-i$	$-1$	$-1$	$1$