Dirichlet character χ4598(383,⋅)\chi_{4598}(383,\cdot)

• Label: 4598.383
• Modulus: $4598$
• Conductor: $2299$
• Order: $990$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$4598$
Conductor:	$2299$
Order:	$990$
Real:	no
Primitive:	no, induced from $\chi_{2299}(383,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 4598.bt

$\chi_{4598}(15,\cdot)$ $\chi_{4598}(53,\cdot)$ $\chi_{4598}(59,\cdot)$ $\chi_{4598}(71,\cdot)$ $\chi_{4598}(91,\cdot)$ $\chi_{4598}(97,\cdot)$ $\chi_{4598}(135,\cdot)$ $\chi_{4598}(147,\cdot)$ $\chi_{4598}(181,\cdot)$ $\chi_{4598}(185,\cdot)$ $\chi_{4598}(203,\cdot)$ $\chi_{4598}(223,\cdot)$ $\chi_{4598}(257,\cdot)$ $\chi_{4598}(279,\cdot)$ $\chi_{4598}(295,\cdot)$ $\chi_{4598}(317,\cdot)$ $\chi_{4598}(333,\cdot)$ $\chi_{4598}(345,\cdot)$ $\chi_{4598}(355,\cdot)$ $\chi_{4598}(357,\cdot)$ $\chi_{4598}(383,\cdot)$ $\chi_{4598}(401,\cdot)$ $\chi_{4598}(421,\cdot)$ $\chi_{4598}(433,\cdot)$ $\chi_{4598}(471,\cdot)$ $\chi_{4598}(477,\cdot)$ $\chi_{4598}(489,\cdot)$ $\chi_{4598}(509,\cdot)$ $\chi_{4598}(515,\cdot)$ $\chi_{4598}(553,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{495})$
Fixed field:	Number field defined by a degree 990 polynomial (not computed)

Values on generators

$(3269,3631)$ → $(e\left(\frac{38}{55}\right),e\left(\frac{13}{18}\right))$

First values

$a$	$-1$	$1$	$3$	$5$	$7$	$9$	$13$	$15$	$17$	$21$	$23$	$25$
$\chi_{ 4598 }(383, a)$	$-1$	$1$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{338}{495}\right)$	$e\left(\frac{28}{165}\right)$	$e\left(\frac{17}{45}\right)$	$e\left(\frac{389}{990}\right)$	$e\left(\frac{863}{990}\right)$	$e\left(\frac{38}{495}\right)$	$e\left(\frac{71}{198}\right)$	$e\left(\frac{80}{99}\right)$	$e\left(\frac{181}{495}\right)$