Dirichlet character χ731025(321652,⋅)\chi_{731025}(321652,\cdot)

• Label: 731025.321652
• Modulus: $731025$
• Conductor: $25$
• Order: $20$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$731025$
Conductor:	$25$
Order:	$20$
Real:	no
Primitive:	no, induced from $\chi_{25}(2,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 731025.go

$\chi_{731025}(29242,\cdot)$ $\chi_{731025}(58483,\cdot)$ $\chi_{731025}(175447,\cdot)$ $\chi_{731025}(204688,\cdot)$ $\chi_{731025}(321652,\cdot)$ $\chi_{731025}(497098,\cdot)$ $\chi_{731025}(614062,\cdot)$ $\chi_{731025}(643303,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{20})$
Fixed field:	Number field defined by a degree 20 polynomial

Values on generators

$(279776,321652,129601)$ → $(1,e\left(\frac{1}{20}\right),1)$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{ 731025 }(321652, a)$	$-1$	$1$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{1}{10}\right)$	$i$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{17}{20}\right)$