Dirichlet character χ126(95,⋅)\chi_{126}(95,\cdot)

• Label: 126.95
• Modulus: $126$
• Conductor: $63$
• Order: $6$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$126$
Conductor:	$63$
Order:	$6$
Real:	no
Primitive:	no, induced from $\chi_{63}(32,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 126.i

$\chi_{126}(65,\cdot)$ $\chi_{126}(95,\cdot)$

Related number fields

Field of values:	$\mathbb{Q}(\zeta_3)$
Fixed field:	6.0.47258883.1

Values on generators

$(29,73)$ → $(e\left(\frac{5}{6}\right),e\left(\frac{2}{3}\right))$

First values

$a$	$-1$	$1$	$5$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$	$37$
$\chi_{ 126 }(95, a)$	$-1$	$1$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$	$-1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{3}\right)$

Gauss sum

Jacobi sum

Kloosterman sum