Dirichlet character χ4334(69,⋅)\chi_{4334}(69,\cdot)

• Label: 4334.69
• Modulus: $4334$
• Conductor: $2167$
• Order: $140$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$4334$
Conductor:	$2167$
Order:	$140$
Real:	no
Primitive:	no, induced from $\chi_{2167}(69,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 4334.ba

$\chi_{4334}(69,\cdot)$ $\chi_{4334}(113,\cdot)$ $\chi_{4334}(317,\cdot)$ $\chi_{4334}(471,\cdot)$ $\chi_{4334}(675,\cdot)$ $\chi_{4334}(719,\cdot)$ $\chi_{4334}(917,\cdot)$ $\chi_{4334}(1005,\cdot)$ $\chi_{4334}(1105,\cdot)$ $\chi_{4334}(1259,\cdot)$ $\chi_{4334}(1269,\cdot)$ $\chi_{4334}(1489,\cdot)$ $\chi_{4334}(1499,\cdot)$ $\chi_{4334}(1653,\cdot)$ $\chi_{4334}(1753,\cdot)$ $\chi_{4334}(1841,\cdot)$ $\chi_{4334}(1857,\cdot)$ $\chi_{4334}(1901,\cdot)$ $\chi_{4334}(2039,\cdot)$ $\chi_{4334}(2083,\cdot)$ $\chi_{4334}(2099,\cdot)$ $\chi_{4334}(2187,\cdot)$ $\chi_{4334}(2451,\cdot)$ $\chi_{4334}(2645,\cdot)$ $\chi_{4334}(2671,\cdot)$ $\chi_{4334}(2689,\cdot)$ $\chi_{4334}(2887,\cdot)$ $\chi_{4334}(2935,\cdot)$ $\chi_{4334}(2975,\cdot)$ $\chi_{4334}(3023,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{140})$
Fixed field:	Number field defined by a degree 140 polynomial (not computed)

Values on generators

$(1971,199)$ → $(e\left(\frac{4}{5}\right),e\left(\frac{15}{28}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$13$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 4334 }(69, a)$	$-1$	$1$	$e\left(\frac{51}{140}\right)$	$e\left(\frac{123}{140}\right)$	$e\left(\frac{57}{70}\right)$	$e\left(\frac{51}{70}\right)$	$e\left(\frac{27}{140}\right)$	$e\left(\frac{17}{70}\right)$	$e\left(\frac{53}{140}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{2}{7}\right)$