Dirichlet character χ2925(1649,⋅)\chi_{2925}(1649,\cdot)

• Label: 2925.1649
• Modulus: $2925$
• Conductor: $585$
• Order: $12$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$2925$
Conductor:	$585$
Order:	$12$
Real:	no
Primitive:	no, induced from $\chi_{585}(479,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 2925.cv

$\chi_{2925}(149,\cdot)$ $\chi_{2925}(1649,\cdot)$ $\chi_{2925}(1874,\cdot)$ $\chi_{2925}(2399,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	12.12.10848744628503862876453125.1

Values on generators

$(326,352,2251)$ → $(e\left(\frac{1}{6}\right),-1,e\left(\frac{7}{12}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$14$	$16$	$17$	$19$	$22$
$\chi_{ 2925 }(1649, a)$	$1$	$1$	$i$	$-1$	$e\left(\frac{7}{12}\right)$	$-i$	$i$	$e\left(\frac{5}{6}\right)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{11}{12}\right)$	$-1$