Dirichlet character χ4675(251,⋅)\chi_{4675}(251,\cdot)

• Label: 4675.251
• Modulus: $4675$
• Conductor: $187$
• Order: $20$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4675$
Conductor:	$187$
Order:	$20$
Real:	no
Primitive:	no, induced from $\chi_{187}(64,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4675.fv

$\chi_{4675}(251,\cdot)$ $\chi_{4675}(676,\cdot)$ $\chi_{4675}(1126,\cdot)$ $\chi_{4675}(1951,\cdot)$ $\chi_{4675}(2401,\cdot)$ $\chi_{4675}(3226,\cdot)$ $\chi_{4675}(4101,\cdot)$ $\chi_{4675}(4526,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{20})$
Fixed field:	Number field defined by a degree 20 polynomial

Values on generators

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

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$12$	$13$	$14$
$\chi_{ 4675 }(251, a)$	$1$	$1$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{10}\right)$	$i$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{20}\right)$