Dirichlet character χ731025(2743,⋅)\chi_{731025}(2743,\cdot)

• Label: 731025.2743
• Modulus: $731025$
• Conductor: $146205$
• Order: $2052$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$731025$
Conductor:	$146205$
Order:	$2052$
Real:	no
Primitive:	no, induced from $\chi_{146205}(2743,\cdot)$
Minimal:	yes
Parity:	odd

Galois orbit 731025.bpn

$\chi_{731025}(7,\cdot)$ $\chi_{731025}(2443,\cdot)$ $\chi_{731025}(2743,\cdot)$ $\chi_{731025}(3982,\cdot)$ $\chi_{731025}(4282,\cdot)$ $\chi_{731025}(6718,\cdot)$ $\chi_{731025}(7018,\cdot)$ $\chi_{731025}(8257,\cdot)$ $\chi_{731025}(8557,\cdot)$ $\chi_{731025}(10993,\cdot)$ $\chi_{731025}(11293,\cdot)$ $\chi_{731025}(12532,\cdot)$ $\chi_{731025}(12832,\cdot)$ $\chi_{731025}(15268,\cdot)$ $\chi_{731025}(15568,\cdot)$ $\chi_{731025}(16807,\cdot)$ $\chi_{731025}(17107,\cdot)$ $\chi_{731025}(19543,\cdot)$ $\chi_{731025}(19843,\cdot)$ $\chi_{731025}(21082,\cdot)$ $\chi_{731025}(21382,\cdot)$ $\chi_{731025}(23818,\cdot)$ $\chi_{731025}(25357,\cdot)$ $\chi_{731025}(25657,\cdot)$ $\chi_{731025}(28093,\cdot)$ $\chi_{731025}(28393,\cdot)$ $\chi_{731025}(29632,\cdot)$ $\chi_{731025}(29932,\cdot)$ $\chi_{731025}(32368,\cdot)$ $\chi_{731025}(32668,\cdot)$ ...

Related number fields

Field of values:	$\Q(\zeta_{2052})$
Fixed field:	Number field defined by a degree 2052 polynomial (not computed)

Values on generators

$(279776,321652,129601)$ → $(e\left(\frac{20}{27}\right),-i,e\left(\frac{13}{57}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{ 731025 }(2743, a)$	$-1$	$1$	$e\left(\frac{1475}{2052}\right)$	$e\left(\frac{449}{1026}\right)$	$e\left(\frac{1667}{2052}\right)$	$e\left(\frac{107}{684}\right)$	$e\left(\frac{458}{513}\right)$	$e\left(\frac{433}{2052}\right)$	$e\left(\frac{545}{1026}\right)$	$e\left(\frac{449}{513}\right)$	$e\left(\frac{505}{684}\right)$	$e\left(\frac{1255}{2052}\right)$