Dirichlet character χ2156(873,⋅)\chi_{2156}(873,\cdot)

• Label: 2156.873
• Modulus: $2156$
• Conductor: $539$
• Order: $210$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$2156$
Conductor:	$539$
Order:	$210$
Real:	no
Primitive:	no, induced from $\chi_{539}(334,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 2156.ck

$\chi_{2156}(5,\cdot)$ $\chi_{2156}(157,\cdot)$ $\chi_{2156}(185,\cdot)$ $\chi_{2156}(201,\cdot)$ $\chi_{2156}(213,\cdot)$ $\chi_{2156}(229,\cdot)$ $\chi_{2156}(257,\cdot)$ $\chi_{2156}(269,\cdot)$ $\chi_{2156}(465,\cdot)$ $\chi_{2156}(493,\cdot)$ $\chi_{2156}(537,\cdot)$ $\chi_{2156}(565,\cdot)$ $\chi_{2156}(577,\cdot)$ $\chi_{2156}(621,\cdot)$ $\chi_{2156}(773,\cdot)$ $\chi_{2156}(801,\cdot)$ $\chi_{2156}(817,\cdot)$ $\chi_{2156}(829,\cdot)$ $\chi_{2156}(845,\cdot)$ $\chi_{2156}(873,\cdot)$ $\chi_{2156}(885,\cdot)$ $\chi_{2156}(929,\cdot)$ $\chi_{2156}(1081,\cdot)$ $\chi_{2156}(1125,\cdot)$ $\chi_{2156}(1137,\cdot)$ $\chi_{2156}(1153,\cdot)$ $\chi_{2156}(1181,\cdot)$ $\chi_{2156}(1193,\cdot)$ $\chi_{2156}(1237,\cdot)$ $\chi_{2156}(1389,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{105})$
Fixed field:	Number field defined by a degree 210 polynomial (not computed)

Values on generators

$(1079,1277,981)$ → $(1,e\left(\frac{23}{42}\right),e\left(\frac{1}{5}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$13$	$15$	$17$	$19$	$23$	$25$	$27$
$\chi_{ 2156 }(873, a)$	$-1$	$1$	$e\left(\frac{31}{210}\right)$	$e\left(\frac{143}{210}\right)$	$e\left(\frac{31}{105}\right)$	$e\left(\frac{19}{70}\right)$	$e\left(\frac{29}{35}\right)$	$e\left(\frac{103}{210}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{38}{105}\right)$	$e\left(\frac{31}{70}\right)$