Dirichlet character χ2100(2057,⋅)\chi_{2100}(2057,\cdot)

• Label: 2100.2057
• Modulus: $2100$
• Conductor: $105$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2100$
Conductor:	$105$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{105}(62,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 2100.u

$\chi_{2100}(293,\cdot)$ $\chi_{2100}(2057,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	4.0.55125.1

Values on generators

$(1051,701,1177,1501)$ → $(1,-1,i,-1)$

First values

$a$	$-1$	$1$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{ 2100 }(2057, a)$	$-1$	$1$	$-1$	$i$	$i$	$1$	$i$	$1$	$-1$	$i$	$1$	$-i$