Dirichlet character χ1156(1055,⋅)\chi_{1156}(1055,\cdot)

• Label: 1156.1055
• Modulus: $1156$
• Conductor: $1156$
• Order: $34$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$1156$
Conductor:	$1156$
Order:	$34$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 1156.m

$\chi_{1156}(35,\cdot)$ $\chi_{1156}(103,\cdot)$ $\chi_{1156}(171,\cdot)$ $\chi_{1156}(239,\cdot)$ $\chi_{1156}(307,\cdot)$ $\chi_{1156}(375,\cdot)$ $\chi_{1156}(443,\cdot)$ $\chi_{1156}(511,\cdot)$ $\chi_{1156}(647,\cdot)$ $\chi_{1156}(715,\cdot)$ $\chi_{1156}(783,\cdot)$ $\chi_{1156}(851,\cdot)$ $\chi_{1156}(919,\cdot)$ $\chi_{1156}(987,\cdot)$ $\chi_{1156}(1055,\cdot)$ $\chi_{1156}(1123,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{17})$
Fixed field:	34.0.96327617921918178221144313424108575958218071686770280802559537554108004555831047895384064.1

Values on generators

$(579,581)$ → $(-1,e\left(\frac{13}{17}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$19$	$21$	$23$
$\chi_{ 1156 }(1055, a)$	$-1$	$1$	$e\left(\frac{9}{34}\right)$	$e\left(\frac{2}{17}\right)$	$e\left(\frac{1}{34}\right)$	$e\left(\frac{9}{17}\right)$	$e\left(\frac{3}{34}\right)$	$e\left(\frac{15}{17}\right)$	$e\left(\frac{13}{34}\right)$	$e\left(\frac{7}{34}\right)$	$e\left(\frac{5}{17}\right)$	$e\left(\frac{1}{34}\right)$