Dirichlet character χ16245(7609,⋅)\chi_{16245}(7609,\cdot)

• Label: 16245.7609
• Modulus: $16245$
• Conductor: $855$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$16245$
Conductor:	$855$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{855}(769,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 16245.cn

$\chi_{16245}(5299,\cdot)$ $\chi_{16245}(6199,\cdot)$ $\chi_{16245}(7609,\cdot)$ $\chi_{16245}(9079,\cdot)$ $\chi_{16245}(14539,\cdot)$ $\chi_{16245}(14674,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	Number field defined by a degree 18 polynomial

Values on generators

$(3611,12997,15886)$ → $(e\left(\frac{1}{3}\right),-1,e\left(\frac{4}{9}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{ 16245 }(7609, a)$	$1$	$1$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{5}{9}\right)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{17}{18}\right)$