Dirichlet character χ6384(2501,⋅)\chi_{6384}(2501,\cdot)

• Label: 6384.2501
• Modulus: $6384$
• Conductor: $6384$
• Order: $12$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$6384$
Conductor:	$6384$
Order:	$12$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 6384.ig

$\chi_{6384}(2501,\cdot)$ $\chi_{6384}(2573,\cdot)$ $\chi_{6384}(5693,\cdot)$ $\chi_{6384}(5765,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{12})$
Fixed field:	Number field defined by a degree 12 polynomial

Values on generators

$(799,4789,2129,913,1009)$ → $(1,i,-1,e\left(\frac{1}{3}\right),e\left(\frac{5}{6}\right))$

First values

$a$	$-1$	$1$	$5$	$11$	$13$	$17$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 6384 }(2501, a)$	$1$	$1$	$-i$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{6}\right)$