Dirichlet character χ731025(234523,⋅)\chi_{731025}(234523,\cdot)

• Label: 731025.234523
• Modulus: $731025$
• Conductor: $4275$
• Order: $180$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$731025$
Conductor:	$4275$
Order:	$180$
Real:	no
Primitive:	no, induced from $\chi_{4275}(823,\cdot)$
Minimal:	no
Parity:	odd

Galois orbit 731025.wc

$\chi_{731025}(28,\cdot)$ $\chi_{731025}(3133,\cdot)$ $\chi_{731025}(59077,\cdot)$ $\chi_{731025}(75142,\cdot)$ $\chi_{731025}(104383,\cdot)$ $\chi_{731025}(107677,\cdot)$ $\chi_{731025}(116992,\cdot)$ $\chi_{731025}(117748,\cdot)$ $\chi_{731025}(120097,\cdot)$ $\chi_{731025}(146233,\cdot)$ $\chi_{731025}(149338,\cdot)$ $\chi_{731025}(221347,\cdot)$ $\chi_{731025}(234523,\cdot)$ $\chi_{731025}(234712,\cdot)$ $\chi_{731025}(250588,\cdot)$ $\chi_{731025}(263197,\cdot)$ $\chi_{731025}(263953,\cdot)$ $\chi_{731025}(266302,\cdot)$ $\chi_{731025}(283123,\cdot)$ $\chi_{731025}(292438,\cdot)$ $\chi_{731025}(351487,\cdot)$ $\chi_{731025}(367552,\cdot)$ $\chi_{731025}(380728,\cdot)$ $\chi_{731025}(380917,\cdot)$ $\chi_{731025}(400087,\cdot)$ $\chi_{731025}(409402,\cdot)$ $\chi_{731025}(410158,\cdot)$ $\chi_{731025}(429328,\cdot)$ $\chi_{731025}(441748,\cdot)$ $\chi_{731025}(497692,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{180})$
Fixed field:	Number field defined by a degree 180 polynomial (not computed)

Values on generators

$(279776,321652,129601)$ → $(e\left(\frac{1}{3}\right),e\left(\frac{11}{20}\right),e\left(\frac{7}{9}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{ 731025 }(234523, a)$	$-1$	$1$	$e\left(\frac{119}{180}\right)$	$e\left(\frac{29}{90}\right)$	$-i$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{1}{180}\right)$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{29}{45}\right)$	$e\left(\frac{167}{180}\right)$	$e\left(\frac{23}{180}\right)$