Dirichlet character χ2793(1298,⋅)\chi_{2793}(1298,\cdot)

• Label: 2793.1298
• 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.en

$\chi_{2793}(5,\cdot)$ $\chi_{2793}(101,\cdot)$ $\chi_{2793}(131,\cdot)$ $\chi_{2793}(320,\cdot)$ $\chi_{2793}(332,\cdot)$ $\chi_{2793}(404,\cdot)$ $\chi_{2793}(479,\cdot)$ $\chi_{2793}(500,\cdot)$ $\chi_{2793}(530,\cdot)$ $\chi_{2793}(719,\cdot)$ $\chi_{2793}(731,\cdot)$ $\chi_{2793}(878,\cdot)$ $\chi_{2793}(899,\cdot)$ $\chi_{2793}(929,\cdot)$ $\chi_{2793}(1118,\cdot)$ $\chi_{2793}(1130,\cdot)$ $\chi_{2793}(1202,\cdot)$ $\chi_{2793}(1277,\cdot)$ $\chi_{2793}(1298,\cdot)$ $\chi_{2793}(1328,\cdot)$ $\chi_{2793}(1517,\cdot)$ $\chi_{2793}(1529,\cdot)$ $\chi_{2793}(1601,\cdot)$ $\chi_{2793}(1676,\cdot)$ $\chi_{2793}(1727,\cdot)$ $\chi_{2793}(1916,\cdot)$ $\chi_{2793}(1928,\cdot)$ $\chi_{2793}(2000,\cdot)$ $\chi_{2793}(2075,\cdot)$ $\chi_{2793}(2096,\cdot)$ ...

Related number fields

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

Values on generators

$(932,2110,2206)$ → $(-1,e\left(\frac{37}{42}\right),e\left(\frac{7}{9}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$13$	$16$	$17$	$20$
$\chi_{ 2793 }(1298, a)$	$1$	$1$	$e\left(\frac{23}{126}\right)$	$e\left(\frac{23}{63}\right)$	$e\left(\frac{31}{63}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{85}{126}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{121}{126}\right)$	$e\left(\frac{46}{63}\right)$	$e\left(\frac{19}{63}\right)$	$e\left(\frac{6}{7}\right)$