Dirichlet character χ4675(3437,⋅)\chi_{4675}(3437,\cdot)

• Label: 4675.3437
• Modulus: $4675$
• Conductor: $4675$
• Order: $80$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4675$
Conductor:	$4675$
Order:	$80$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4675.ih

$\chi_{4675}(58,\cdot)$ $\chi_{4675}(267,\cdot)$ $\chi_{4675}(313,\cdot)$ $\chi_{4675}(333,\cdot)$ $\chi_{4675}(422,\cdot)$ $\chi_{4675}(588,\cdot)$ $\chi_{4675}(653,\cdot)$ $\chi_{4675}(702,\cdot)$ $\chi_{4675}(823,\cdot)$ $\chi_{4675}(928,\cdot)$ $\chi_{4675}(972,\cdot)$ $\chi_{4675}(1098,\cdot)$ $\chi_{4675}(1527,\cdot)$ $\chi_{4675}(1797,\cdot)$ $\chi_{4675}(1983,\cdot)$ $\chi_{4675}(2062,\cdot)$ $\chi_{4675}(2077,\cdot)$ $\chi_{4675}(2238,\cdot)$ $\chi_{4675}(2578,\cdot)$ $\chi_{4675}(2742,\cdot)$ $\chi_{4675}(2748,\cdot)$ $\chi_{4675}(2887,\cdot)$ $\chi_{4675}(2902,\cdot)$ $\chi_{4675}(3083,\cdot)$ $\chi_{4675}(3338,\cdot)$ $\chi_{4675}(3437,\cdot)$ $\chi_{4675}(3567,\cdot)$ $\chi_{4675}(3678,\cdot)$ $\chi_{4675}(3848,\cdot)$ $\chi_{4675}(4117,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{80})$
Fixed field:	Number field defined by a degree 80 polynomial

Values on generators

$(4302,3401,3301)$ → $(e\left(\frac{9}{20}\right),e\left(\frac{2}{5}\right),e\left(\frac{1}{16}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$12$	$13$	$14$
$\chi_{ 4675 }(3437, a)$	$1$	$1$	$e\left(\frac{29}{40}\right)$	$e\left(\frac{33}{80}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{11}{80}\right)$	$e\left(\frac{59}{80}\right)$	$e\left(\frac{7}{40}\right)$	$e\left(\frac{33}{40}\right)$	$e\left(\frac{69}{80}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{37}{80}\right)$