Dirichlet character χ4675(4266,⋅)\chi_{4675}(4266,\cdot)

• Label: 4675.4266
• Modulus: $4675$
• Conductor: $4675$
• Order: $10$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4675$
Conductor:	$4675$
Order:	$10$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4675.bt

$\chi_{4675}(356,\cdot)$ $\chi_{4675}(696,\cdot)$ $\chi_{4675}(1886,\cdot)$ $\chi_{4675}(4266,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{5})$
Fixed field:	Number field defined by a degree 10 polynomial

Values on generators

$(4302,3401,3301)$ → $(e\left(\frac{1}{5}\right),e\left(\frac{3}{5}\right),-1)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$12$	$13$	$14$
$\chi_{ 4675 }(4266, a)$	$1$	$1$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{3}{5}\right)$	$-1$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{2}{5}\right)$	$-1$