Dirichlet character χ6384(5545,⋅)\chi_{6384}(5545,\cdot)

• Label: 6384.5545
• Modulus: $6384$
• Conductor: $152$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$6384$
Conductor:	$152$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{152}(149,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 6384.lm

$\chi_{6384}(169,\cdot)$ $\chi_{6384}(841,\cdot)$ $\chi_{6384}(1849,\cdot)$ $\chi_{6384}(4873,\cdot)$ $\chi_{6384}(5545,\cdot)$ $\chi_{6384}(6217,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	18.18.38713951190154487490850848768.1

Values on generators

$(799,4789,2129,913,1009)$ → $(1,-1,1,1,e\left(\frac{2}{9}\right))$

First values

$a$	$-1$	$1$	$5$	$11$	$13$	$17$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{ 6384 }(5545, a)$	$1$	$1$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{8}{9}\right)$