Dirichlet character χ1925(43,⋅)\chi_{1925}(43,\cdot)

• Label: 1925.43
• Modulus: $1925$
• Conductor: $55$
• Order: $4$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$1925$
Conductor:	$55$
Order:	$4$
Real:	no
Primitive:	no, induced from $\chi_{55}(43,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 1925.k

$\chi_{1925}(43,\cdot)$ $\chi_{1925}(582,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(i)$
Fixed field:	4.4.15125.1

Values on generators

$(1002,276,1751)$ → $(-i,1,-1)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$12$	$13$	$16$	$17$
$\chi_{ 1925 }(43, a)$	$1$	$1$	$i$	$i$	$-1$	$-1$	$-i$	$-1$	$-i$	$-i$	$1$	$i$