Dirichlet character χ4675(631,⋅)\chi_{4675}(631,\cdot)

• Label: 4675.631
• Modulus: $4675$
• Conductor: $4675$
• Order: $40$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4675$
Conductor:	$4675$
Order:	$40$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4675.he

$\chi_{4675}(236,\cdot)$ $\chi_{4675}(416,\cdot)$ $\chi_{4675}(631,\cdot)$ $\chi_{4675}(971,\cdot)$ $\chi_{4675}(1181,\cdot)$ $\chi_{4675}(1521,\cdot)$ $\chi_{4675}(2066,\cdot)$ $\chi_{4675}(2161,\cdot)$ $\chi_{4675}(2616,\cdot)$ $\chi_{4675}(2711,\cdot)$ $\chi_{4675}(2831,\cdot)$ $\chi_{4675}(3171,\cdot)$ $\chi_{4675}(3381,\cdot)$ $\chi_{4675}(3721,\cdot)$ $\chi_{4675}(4361,\cdot)$ $\chi_{4675}(4541,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{40})$
Fixed field:	Number field defined by a degree 40 polynomial

Values on generators

$(4302,3401,3301)$ → $(e\left(\frac{2}{5}\right),e\left(\frac{1}{5}\right),e\left(\frac{7}{8}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$12$	$13$	$14$
$\chi_{ 4675 }(631, a)$	$1$	$1$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{1}{40}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{39}{40}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{7}{8}\right)$