Dirichlet character χ1444(415,⋅)\chi_{1444}(415,\cdot)

• Label: 1444.415
• Modulus: $1444$
• Conductor: $76$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$1444$
Conductor:	$76$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{76}(35,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 1444.l

$\chi_{1444}(99,\cdot)$ $\chi_{1444}(415,\cdot)$ $\chi_{1444}(423,\cdot)$ $\chi_{1444}(595,\cdot)$ $\chi_{1444}(967,\cdot)$ $\chi_{1444}(1111,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	18.0.75613185918270483380568064.1

Values on generators

$(723,1085)$ → $(-1,e\left(\frac{2}{9}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 1444 }(415, a)$	$-1$	$1$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{17}{18}\right)$