Dirichlet character χ4256(705,⋅)\chi_{4256}(705,\cdot)

• Label: 4256.705
• Modulus: $4256$
• Conductor: $133$
• Order: $18$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4256$
Conductor:	$133$
Order:	$18$
Real:	no
Primitive:	no, induced from $\chi_{133}(40,\cdot)$
Minimal:	yes
Parity:	even

Galois orbit 4256.gn

$\chi_{4256}(33,\cdot)$ $\chi_{4256}(129,\cdot)$ $\chi_{4256}(705,\cdot)$ $\chi_{4256}(1473,\cdot)$ $\chi_{4256}(2369,\cdot)$ $\chi_{4256}(3841,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{9})$
Fixed field:	18.18.26018473705616588670034125883291477.1

Values on generators

$(799,2661,3041,3137)$ → $(1,1,e\left(\frac{5}{6}\right),e\left(\frac{1}{18}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$11$	$13$	$15$	$17$	$23$	$25$	$27$
$\chi_{ 4256 }(705, a)$	$1$	$1$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{1}{9}\right)$	$1$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{2}{3}\right)$