Dirichlet character χ1216(127,⋅)\chi_{1216}(127,\cdot)

• Label: 1216.127
• Modulus: $1216$
• Conductor: $76$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$1216$
Conductor:	$76$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{76}(51,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 1216.bm

$\chi_{1216}(127,\cdot)$ $\chi_{1216}(319,\cdot)$ $\chi_{1216}(383,\cdot)$ $\chi_{1216}(447,\cdot)$ $\chi_{1216}(831,\cdot)$ $\chi_{1216}(895,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	$\Q(\zeta_{76})^+$

Values on generators

$(191,837,705)$ → $(-1,1,e\left(\frac{5}{18}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{ 1216 }(127, a)$	$1$	$1$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{1}{18}\right)$