Dirichlet character χ4334(61,⋅)\chi_{4334}(61,\cdot)

• Label: 4334.61
• Modulus: $4334$
• Conductor: $2167$
• Order: $490$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$4334$
Conductor:	$2167$
Order:	$490$
Real:	no
Primitive:	no, induced from $\chi_{2167}(61,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 4334.bg

$\chi_{4334}(29,\cdot)$ $\chi_{4334}(51,\cdot)$ $\chi_{4334}(61,\cdot)$ $\chi_{4334}(63,\cdot)$ $\chi_{4334}(85,\cdot)$ $\chi_{4334}(101,\cdot)$ $\chi_{4334}(105,\cdot)$ $\chi_{4334}(171,\cdot)$ $\chi_{4334}(193,\cdot)$ $\chi_{4334}(237,\cdot)$ $\chi_{4334}(239,\cdot)$ $\chi_{4334}(347,\cdot)$ $\chi_{4334}(369,\cdot)$ $\chi_{4334}(387,\cdot)$ $\chi_{4334}(431,\cdot)$ $\chi_{4334}(447,\cdot)$ $\chi_{4334}(453,\cdot)$ $\chi_{4334}(457,\cdot)$ $\chi_{4334}(475,\cdot)$ $\chi_{4334}(479,\cdot)$ $\chi_{4334}(569,\cdot)$ $\chi_{4334}(607,\cdot)$ $\chi_{4334}(633,\cdot)$ $\chi_{4334}(645,\cdot)$ $\chi_{4334}(651,\cdot)$ $\chi_{4334}(667,\cdot)$ $\chi_{4334}(679,\cdot)$ $\chi_{4334}(723,\cdot)$ $\chi_{4334}(733,\cdot)$ $\chi_{4334}(745,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{245})$
Fixed field:	Number field defined by a degree 490 polynomial (not computed)

Values on generators

$(1971,199)$ → $(e\left(\frac{9}{10}\right),e\left(\frac{16}{49}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$13$	$15$	$17$	$19$	$21$	$23$
$\chi_{ 4334 }(61, a)$	$-1$	$1$	$e\left(\frac{74}{245}\right)$	$e\left(\frac{162}{245}\right)$	$e\left(\frac{477}{490}\right)$	$e\left(\frac{148}{245}\right)$	$e\left(\frac{31}{490}\right)$	$e\left(\frac{236}{245}\right)$	$e\left(\frac{9}{490}\right)$	$e\left(\frac{69}{70}\right)$	$e\left(\frac{27}{98}\right)$	$e\left(\frac{9}{49}\right)$