Dirichlet character χ2156(501,⋅)\chi_{2156}(501,\cdot)

• Label: 2156.501
• 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 $\chi_{539}(501,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 2156.cf

$\chi_{2156}(149,\cdot)$ $\chi_{2156}(193,\cdot)$ $\chi_{2156}(205,\cdot)$ $\chi_{2156}(233,\cdot)$ $\chi_{2156}(249,\cdot)$ $\chi_{2156}(261,\cdot)$ $\chi_{2156}(277,\cdot)$ $\chi_{2156}(305,\cdot)$ $\chi_{2156}(457,\cdot)$ $\chi_{2156}(501,\cdot)$ $\chi_{2156}(513,\cdot)$ $\chi_{2156}(541,\cdot)$ $\chi_{2156}(585,\cdot)$ $\chi_{2156}(613,\cdot)$ $\chi_{2156}(809,\cdot)$ $\chi_{2156}(821,\cdot)$ $\chi_{2156}(849,\cdot)$ $\chi_{2156}(865,\cdot)$ $\chi_{2156}(877,\cdot)$ $\chi_{2156}(893,\cdot)$ $\chi_{2156}(921,\cdot)$ $\chi_{2156}(1073,\cdot)$ $\chi_{2156}(1117,\cdot)$ $\chi_{2156}(1129,\cdot)$ $\chi_{2156}(1173,\cdot)$ $\chi_{2156}(1185,\cdot)$ $\chi_{2156}(1201,\cdot)$ $\chi_{2156}(1229,\cdot)$ $\chi_{2156}(1381,\cdot)$ $\chi_{2156}(1425,\cdot)$ ...

Related number fields

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

Values on generators

$(1079,1277,981)$ → $(1,e\left(\frac{20}{21}\right),e\left(\frac{9}{10}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$9$	$13$	$15$	$17$	$19$	$23$	$25$	$27$
$\chi_{ 2156 }(501, a)$	$-1$	$1$	$e\left(\frac{16}{105}\right)$	$e\left(\frac{23}{105}\right)$	$e\left(\frac{32}{105}\right)$	$e\left(\frac{23}{70}\right)$	$e\left(\frac{13}{35}\right)$	$e\left(\frac{191}{210}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{46}{105}\right)$	$e\left(\frac{16}{35}\right)$