Dirichlet character χ3888(55,⋅)\chi_{3888}(55,\cdot)

• Label: 3888.55
• Modulus: $3888$
• Conductor: $216$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$3888$
Conductor:	$216$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{216}(115,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 3888.z

$\chi_{3888}(55,\cdot)$ $\chi_{3888}(919,\cdot)$ $\chi_{3888}(1351,\cdot)$ $\chi_{3888}(2215,\cdot)$ $\chi_{3888}(2647,\cdot)$ $\chi_{3888}(3511,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	18.0.132173713091594538512566714368.2

Values on generators

$(2431,2917,1217)$ → $(-1,-1,e\left(\frac{8}{9}\right))$

First values

$a$	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{ 3888 }(55, a)$	$-1$	$1$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{5}{18}\right)$