Dirichlet character χ731025(333953,⋅)\chi_{731025}(333953,\cdot)

• Label: 731025.333953
• Modulus: $731025$
• Conductor: $12825$
• Order: $180$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$731025$
Conductor:	$12825$
Order:	$180$
Real:	no
Primitive:	no, induced from $\chi_{12825}(7628,\cdot)$
Minimal:	no
Parity:	even

Galois orbit 731025.vw

$\chi_{731025}(62,\cdot)$ $\chi_{731025}(3122,\cdot)$ $\chi_{731025}(12158,\cdot)$ $\chi_{731025}(12302,\cdot)$ $\chi_{731025}(29303,\cdot)$ $\chi_{731025}(32363,\cdot)$ $\chi_{731025}(64673,\cdot)$ $\chi_{731025}(129122,\cdot)$ $\chi_{731025}(129698,\cdot)$ $\chi_{731025}(146267,\cdot)$ $\chi_{731025}(149327,\cdot)$ $\chi_{731025}(158363,\cdot)$ $\chi_{731025}(175508,\cdot)$ $\chi_{731025}(181637,\cdot)$ $\chi_{731025}(187748,\cdot)$ $\chi_{731025}(210878,\cdot)$ $\chi_{731025}(246662,\cdot)$ $\chi_{731025}(275327,\cdot)$ $\chi_{731025}(275903,\cdot)$ $\chi_{731025}(292472,\cdot)$ $\chi_{731025}(304712,\cdot)$ $\chi_{731025}(321713,\cdot)$ $\chi_{731025}(324773,\cdot)$ $\chi_{731025}(327842,\cdot)$ $\chi_{731025}(333953,\cdot)$ $\chi_{731025}(357083,\cdot)$ $\chi_{731025}(392867,\cdot)$ $\chi_{731025}(422108,\cdot)$ $\chi_{731025}(438677,\cdot)$ $\chi_{731025}(441737,\cdot)$ ...

Related number fields

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

Values on generators

$(279776,321652,129601)$ → $(e\left(\frac{17}{18}\right),e\left(\frac{7}{20}\right),e\left(\frac{4}{9}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{ 731025 }(333953, a)$	$1$	$1$	$e\left(\frac{133}{180}\right)$	$e\left(\frac{43}{90}\right)$	$e\left(\frac{19}{36}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{77}{180}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{43}{45}\right)$	$e\left(\frac{29}{180}\right)$	$e\left(\frac{19}{20}\right)$