Dirichlet character χ2793(113,⋅)\chi_{2793}(113,\cdot)

• Label: 2793.113
• Modulus: $2793$
• Conductor: $2793$
• Order: $14$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2793$
Conductor:	$2793$
Order:	$14$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2793.bu

$\chi_{2793}(113,\cdot)$ $\chi_{2793}(512,\cdot)$ $\chi_{2793}(911,\cdot)$ $\chi_{2793}(1310,\cdot)$ $\chi_{2793}(1709,\cdot)$ $\chi_{2793}(2507,\cdot)$

Related number fields

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

Values on generators

$(932,2110,2206)$ → $(-1,e\left(\frac{5}{7}\right),-1)$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$13$	$16$	$17$	$20$
$\chi_{ 2793 }(113, a)$	$1$	$1$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{5}{14}\right)$