Dirichlet character χ731025(1058,⋅)\chi_{731025}(1058,\cdot)

• Label: 731025.1058
• Modulus: $731025$
• Conductor: $731025$
• Order: $10260$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$731025$
Conductor:	$731025$
Order:	$10260$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 731025.bvw

$\chi_{731025}(2,\cdot)$ $\chi_{731025}(128,\cdot)$ $\chi_{731025}(497,\cdot)$ $\chi_{731025}(1022,\cdot)$ $\chi_{731025}(1028,\cdot)$ $\chi_{731025}(1058,\cdot)$ $\chi_{731025}(1283,\cdot)$ $\chi_{731025}(1523,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{10260})$
Fixed field:	Number field defined by a degree 10260 polynomial (not computed)

Values on generators

$(279776,321652,129601)$ → $(e\left(\frac{23}{54}\right),e\left(\frac{3}{20}\right),e\left(\frac{293}{342}\right))$

First values

$a$	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{ 731025 }(1058, a)$	$-1$	$1$	$e\left(\frac{4439}{10260}\right)$	$e\left(\frac{4439}{5130}\right)$	$e\left(\frac{151}{2052}\right)$	$e\left(\frac{1019}{3420}\right)$	$e\left(\frac{1657}{5130}\right)$	$e\left(\frac{1231}{10260}\right)$	$e\left(\frac{2597}{5130}\right)$	$e\left(\frac{1874}{2565}\right)$	$e\left(\frac{713}{1140}\right)$	$e\left(\frac{7753}{10260}\right)$