Dirichlet character χ2793(2123,⋅)\chi_{2793}(2123,\cdot)

• Label: 2793.2123
• Modulus: $2793$
• Conductor: $2793$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 2793.ex

$\chi_{2793}(2,\cdot)$ $\chi_{2793}(32,\cdot)$ $\chi_{2793}(53,\cdot)$ $\chi_{2793}(200,\cdot)$ $\chi_{2793}(212,\cdot)$ $\chi_{2793}(401,\cdot)$ $\chi_{2793}(431,\cdot)$ $\chi_{2793}(452,\cdot)$ $\chi_{2793}(527,\cdot)$ $\chi_{2793}(599,\cdot)$ $\chi_{2793}(611,\cdot)$ $\chi_{2793}(800,\cdot)$ $\chi_{2793}(830,\cdot)$ $\chi_{2793}(926,\cdot)$ $\chi_{2793}(1199,\cdot)$ $\chi_{2793}(1229,\cdot)$ $\chi_{2793}(1250,\cdot)$ $\chi_{2793}(1325,\cdot)$ $\chi_{2793}(1397,\cdot)$ $\chi_{2793}(1409,\cdot)$ $\chi_{2793}(1628,\cdot)$ $\chi_{2793}(1649,\cdot)$ $\chi_{2793}(1724,\cdot)$ $\chi_{2793}(1796,\cdot)$ $\chi_{2793}(1808,\cdot)$ $\chi_{2793}(1997,\cdot)$ $\chi_{2793}(2048,\cdot)$ $\chi_{2793}(2123,\cdot)$ $\chi_{2793}(2195,\cdot)$ $\chi_{2793}(2207,\cdot)$ ...

Related number fields

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

Values on generators

$(932,2110,2206)$ → $(-1,e\left(\frac{10}{21}\right),e\left(\frac{7}{18}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$13$	$16$	$17$	$20$
$\chi_{ 2793 }(2123, a)$	$1$	$1$	$e\left(\frac{17}{63}\right)$	$e\left(\frac{34}{63}\right)$	$e\left(\frac{67}{126}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{101}{126}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{83}{126}\right)$	$e\left(\frac{5}{63}\right)$	$e\left(\frac{37}{126}\right)$	$e\left(\frac{1}{14}\right)$