Dirichlet character χ2793(269,⋅)\chi_{2793}(269,\cdot)

• Label: 2793.269
• 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.er

$\chi_{2793}(59,\cdot)$ $\chi_{2793}(89,\cdot)$ $\chi_{2793}(110,\cdot)$ $\chi_{2793}(185,\cdot)$ $\chi_{2793}(257,\cdot)$ $\chi_{2793}(269,\cdot)$ $\chi_{2793}(458,\cdot)$ $\chi_{2793}(488,\cdot)$ $\chi_{2793}(584,\cdot)$ $\chi_{2793}(857,\cdot)$ $\chi_{2793}(887,\cdot)$ $\chi_{2793}(908,\cdot)$ $\chi_{2793}(983,\cdot)$ $\chi_{2793}(1055,\cdot)$ $\chi_{2793}(1067,\cdot)$ $\chi_{2793}(1286,\cdot)$ $\chi_{2793}(1307,\cdot)$ $\chi_{2793}(1382,\cdot)$ $\chi_{2793}(1454,\cdot)$ $\chi_{2793}(1466,\cdot)$ $\chi_{2793}(1655,\cdot)$ $\chi_{2793}(1706,\cdot)$ $\chi_{2793}(1781,\cdot)$ $\chi_{2793}(1853,\cdot)$ $\chi_{2793}(1865,\cdot)$ $\chi_{2793}(2054,\cdot)$ $\chi_{2793}(2084,\cdot)$ $\chi_{2793}(2105,\cdot)$ $\chi_{2793}(2180,\cdot)$ $\chi_{2793}(2252,\cdot)$ ...

Related number fields

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

Values on generators

$(932,2110,2206)$ → $(-1,e\left(\frac{37}{42}\right),e\left(\frac{13}{18}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$13$	$16$	$17$	$20$
$\chi_{ 2793 }(269, a)$	$-1$	$1$	$e\left(\frac{8}{63}\right)$	$e\left(\frac{16}{63}\right)$	$e\left(\frac{38}{63}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{46}{63}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{43}{63}\right)$	$e\left(\frac{32}{63}\right)$	$e\left(\frac{47}{63}\right)$	$e\left(\frac{6}{7}\right)$