Dirichlet character χ731025(371,⋅)\chi_{731025}(371,\cdot)

• Label: 731025.371
• Modulus: $731025$
• Conductor: $731025$
• Order: $5130$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$731025$
Conductor:	$731025$
Order:	$5130$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 731025.bsz

$\chi_{731025}(41,\cdot)$ $\chi_{731025}(281,\cdot)$ $\chi_{731025}(356,\cdot)$ $\chi_{731025}(371,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{2565})$
Fixed field:	Number field defined by a degree 5130 polynomial (not computed)

Values on generators

$(279776,321652,129601)$ → $(e\left(\frac{7}{54}\right),e\left(\frac{3}{5}\right),e\left(\frac{233}{342}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{ 731025 }(371, a)$	$1$	$1$	$e\left(\frac{1054}{2565}\right)$	$e\left(\frac{2108}{2565}\right)$	$e\left(\frac{137}{513}\right)$	$e\left(\frac{199}{855}\right)$	$e\left(\frac{3983}{5130}\right)$	$e\left(\frac{2977}{5130}\right)$	$e\left(\frac{1739}{2565}\right)$	$e\left(\frac{1651}{2565}\right)$	$e\left(\frac{83}{1710}\right)$	$e\left(\frac{961}{5130}\right)$