Dirichlet character χ731025(256,⋅)\chi_{731025}(256,\cdot)

• Label: 731025.256
• Modulus: $731025$
• Conductor: $731025$
• Order: $2565$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$731025$
Conductor:	$731025$
Order:	$2565$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 731025.bqa

$\chi_{731025}(16,\cdot)$ $\chi_{731025}(256,\cdot)$ $\chi_{731025}(481,\cdot)$ $\chi_{731025}(511,\cdot)$ $\chi_{731025}(1411,\cdot)$ $\chi_{731025}(2056,\cdot)$ $\chi_{731025}(2821,\cdot)$ $\chi_{731025}(3046,\cdot)$ $\chi_{731025}(4621,\cdot)$ $\chi_{731025}(5146,\cdot)$ $\chi_{731025}(5386,\cdot)$ $\chi_{731025}(5611,\cdot)$ $\chi_{731025}(5641,\cdot)$ $\chi_{731025}(6541,\cdot)$ $\chi_{731025}(7186,\cdot)$ $\chi_{731025}(7711,\cdot)$ $\chi_{731025}(8206,\cdot)$ $\chi_{731025}(9106,\cdot)$ $\chi_{731025}(10516,\cdot)$ $\chi_{731025}(10741,\cdot)$ $\chi_{731025}(10771,\cdot)$ $\chi_{731025}(11671,\cdot)$ $\chi_{731025}(12316,\cdot)$ $\chi_{731025}(12841,\cdot)$ $\chi_{731025}(13081,\cdot)$ $\chi_{731025}(13306,\cdot)$ $\chi_{731025}(13336,\cdot)$ $\chi_{731025}(14236,\cdot)$ $\chi_{731025}(14881,\cdot)$ $\chi_{731025}(15406,\cdot)$ ...

Related number fields

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

Values on generators

$(279776,321652,129601)$ → $(e\left(\frac{4}{27}\right),e\left(\frac{2}{5}\right),e\left(\frac{4}{171}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{ 731025 }(256, a)$	$1$	$1$	$e\left(\frac{1466}{2565}\right)$	$e\left(\frac{367}{2565}\right)$	$e\left(\frac{451}{513}\right)$	$e\left(\frac{611}{855}\right)$	$e\left(\frac{1826}{2565}\right)$	$e\left(\frac{1234}{2565}\right)$	$e\left(\frac{1156}{2565}\right)$	$e\left(\frac{734}{2565}\right)$	$e\left(\frac{107}{285}\right)$	$e\left(\frac{727}{2565}\right)$