Dirichlet character χ2303(281,⋅)\chi_{2303}(281,\cdot)

• Label: 2303.281
• Modulus: $2303$
• Conductor: $2303$
• Order: $14$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2303$
Conductor:	$2303$
Order:	$14$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2303.j

$\chi_{2303}(281,\cdot)$ $\chi_{2303}(610,\cdot)$ $\chi_{2303}(939,\cdot)$ $\chi_{2303}(1268,\cdot)$ $\chi_{2303}(1597,\cdot)$ $\chi_{2303}(1926,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{7})$
Fixed field:	Number field defined by a degree 14 polynomial

Values on generators

$(2257,99)$ → $(e\left(\frac{2}{7}\right),-1)$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$8$	$9$	$10$	$11$	$12$
$\chi_{ 2303 }(281, a)$	$-1$	$1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{1}{7}\right)$