Dirichlet character χ2793(1871,⋅)\chi_{2793}(1871,\cdot)

• Label: 2793.1871
• Modulus: $2793$
• Conductor: $2793$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2793$
Conductor:	$2793$
Order:	$126$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2793.ei

$\chi_{2793}(23,\cdot)$ $\chi_{2793}(44,\cdot)$ $\chi_{2793}(74,\cdot)$ $\chi_{2793}(347,\cdot)$ $\chi_{2793}(443,\cdot)$ $\chi_{2793}(473,\cdot)$ $\chi_{2793}(662,\cdot)$ $\chi_{2793}(674,\cdot)$ $\chi_{2793}(746,\cdot)$ $\chi_{2793}(821,\cdot)$ $\chi_{2793}(842,\cdot)$ $\chi_{2793}(872,\cdot)$ $\chi_{2793}(1061,\cdot)$ $\chi_{2793}(1073,\cdot)$ $\chi_{2793}(1220,\cdot)$ $\chi_{2793}(1241,\cdot)$ $\chi_{2793}(1271,\cdot)$ $\chi_{2793}(1460,\cdot)$ $\chi_{2793}(1472,\cdot)$ $\chi_{2793}(1544,\cdot)$ $\chi_{2793}(1619,\cdot)$ $\chi_{2793}(1640,\cdot)$ $\chi_{2793}(1670,\cdot)$ $\chi_{2793}(1859,\cdot)$ $\chi_{2793}(1871,\cdot)$ $\chi_{2793}(1943,\cdot)$ $\chi_{2793}(2018,\cdot)$ $\chi_{2793}(2069,\cdot)$ $\chi_{2793}(2258,\cdot)$ $\chi_{2793}(2270,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{63})$
Fixed field:	Number field defined by a degree 126 polynomial (not computed)

Values on generators

$(932,2110,2206)$ → $(-1,e\left(\frac{1}{21}\right),e\left(\frac{4}{9}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$13$	$16$	$17$	$20$
$\chi_{ 2793 }(1871, a)$	$-1$	$1$	$e\left(\frac{23}{126}\right)$	$e\left(\frac{23}{63}\right)$	$e\left(\frac{125}{126}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{11}{63}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{50}{63}\right)$	$e\left(\frac{46}{63}\right)$	$e\left(\frac{17}{126}\right)$	$e\left(\frac{5}{14}\right)$