Dirichlet character χ2925(43,⋅)\chi_{2925}(43,\cdot)

• Label: 2925.43
• Modulus: $2925$
• Conductor: $585$
• Order: $12$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2925$
Conductor:	$585$
Order:	$12$
Real:	no
Primitive:	no, induced from $\chi_{585}(43,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 2925.dt

$\chi_{2925}(43,\cdot)$ $\chi_{2925}(868,\cdot)$ $\chi_{2925}(2032,\cdot)$ $\chi_{2925}(2857,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.0.11590539133016947517578125.2

Values on generators

$(326,352,2251)$ → $(e\left(\frac{2}{3}\right),-i,e\left(\frac{1}{6}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$14$	$16$	$17$	$19$	$22$
$\chi_{ 2925 }(43, a)$	$-1$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{6}\right)$	$i$	$-i$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{12}\right)$