Dirichlet character χ3528(2125,⋅)\chi_{3528}(2125,\cdot)

• Label: 3528.2125
• Modulus: $3528$
• Conductor: $56$
• Order: $6$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$3528$
Conductor:	$56$
Order:	$6$
Real:	no
Primitive:	no, induced from $\chi_{56}(53,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 3528.cj

$\chi_{3528}(1549,\cdot)$ $\chi_{3528}(2125,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.6.1229312.1

Values on generators

$(2647,1765,785,1081)$ → $(1,-1,1,e\left(\frac{2}{3}\right))$

First values

$a$	$-1$	$1$	$5$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$	$37$
$\chi_{ 3528 }(2125, a)$	$1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$