Dirichlet character χ2793(125,⋅)\chi_{2793}(125,\cdot)

• Label: 2793.125
• Modulus: $2793$
• Conductor: $2793$
• Order: $42$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$2793$
Conductor:	$2793$
Order:	$42$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2793.dm

$\chi_{2793}(83,\cdot)$ $\chi_{2793}(125,\cdot)$ $\chi_{2793}(482,\cdot)$ $\chi_{2793}(524,\cdot)$ $\chi_{2793}(923,\cdot)$ $\chi_{2793}(1280,\cdot)$ $\chi_{2793}(1679,\cdot)$ $\chi_{2793}(1721,\cdot)$ $\chi_{2793}(2078,\cdot)$ $\chi_{2793}(2120,\cdot)$ $\chi_{2793}(2477,\cdot)$ $\chi_{2793}(2519,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{21})$
Fixed field:	Number field defined by a degree 42 polynomial

Values on generators

$(932,2110,2206)$ → $(-1,e\left(\frac{1}{14}\right),e\left(\frac{2}{3}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$13$	$16$	$17$	$20$
$\chi_{ 2793 }(125, a)$	$1$	$1$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{2}{7}\right)$