Dirichlet character χ2793(2081,⋅)\chi_{2793}(2081,\cdot)

• Label: 2793.2081
• 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.es

$\chi_{2793}(86,\cdot)$ $\chi_{2793}(242,\cdot)$ $\chi_{2793}(317,\cdot)$ $\chi_{2793}(326,\cdot)$ $\chi_{2793}(338,\cdot)$ $\chi_{2793}(485,\cdot)$ $\chi_{2793}(515,\cdot)$ $\chi_{2793}(641,\cdot)$ $\chi_{2793}(725,\cdot)$ $\chi_{2793}(737,\cdot)$ $\chi_{2793}(884,\cdot)$ $\chi_{2793}(914,\cdot)$ $\chi_{2793}(1040,\cdot)$ $\chi_{2793}(1115,\cdot)$ $\chi_{2793}(1124,\cdot)$ $\chi_{2793}(1136,\cdot)$ $\chi_{2793}(1283,\cdot)$ $\chi_{2793}(1313,\cdot)$ $\chi_{2793}(1514,\cdot)$ $\chi_{2793}(1523,\cdot)$ $\chi_{2793}(1535,\cdot)$ $\chi_{2793}(1682,\cdot)$ $\chi_{2793}(1712,\cdot)$ $\chi_{2793}(1838,\cdot)$ $\chi_{2793}(1913,\cdot)$ $\chi_{2793}(1922,\cdot)$ $\chi_{2793}(1934,\cdot)$ $\chi_{2793}(2081,\cdot)$ $\chi_{2793}(2111,\cdot)$ $\chi_{2793}(2237,\cdot)$ ...

Related number fields

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

Values on generators

$(932,2110,2206)$ → $(-1,e\left(\frac{19}{21}\right),e\left(\frac{17}{18}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$13$	$16$	$17$	$20$
$\chi_{ 2793 }(2081, a)$	$1$	$1$	$e\left(\frac{61}{63}\right)$	$e\left(\frac{59}{63}\right)$	$e\left(\frac{107}{126}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{103}{126}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{73}{126}\right)$	$e\left(\frac{55}{63}\right)$	$e\left(\frac{71}{126}\right)$	$e\left(\frac{11}{14}\right)$