Dirichlet character χ731025(356,⋅)\chi_{731025}(356,\cdot)

• Label: 731025.356
• 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

$(279776,321652,129601)$ → $(e\left(\frac{5}{54}\right),e\left(\frac{2}{5}\right),e\left(\frac{61}{342}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{ 731025 }(356, a)$	$1$	$1$	$e\left(\frac{1721}{2565}\right)$	$e\left(\frac{877}{2565}\right)$	$e\left(\frac{121}{513}\right)$	$e\left(\frac{11}{855}\right)$	$e\left(\frac{4087}{5130}\right)$	$e\left(\frac{113}{5130}\right)$	$e\left(\frac{2326}{2565}\right)$	$e\left(\frac{1754}{2565}\right)$	$e\left(\frac{967}{1710}\right)$	$e\left(\frac{2399}{5130}\right)$