Dirichlet character χ2888(333,⋅)\chi_{2888}(333,\cdot)

• Label: 2888.333
• Modulus: $2888$
• Conductor: $152$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$2888$
Conductor:	$152$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{152}(29,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 2888.s

$\chi_{2888}(333,\cdot)$ $\chi_{2888}(477,\cdot)$ $\chi_{2888}(1021,\cdot)$ $\chi_{2888}(1029,\cdot)$ $\chi_{2888}(2293,\cdot)$ $\chi_{2888}(2789,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	18.0.735565072612935262326166126592.1

Values on generators

$(2167,1445,2529)$ → $(1,-1,e\left(\frac{17}{18}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 2888 }(333, a)$	$-1$	$1$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{8}{9}\right)$