Dirichlet character orbit 731025.buz

• Label: 731025.buz
• Modulus: $731025$
• Conductor: $731025$
• Order: $10260$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Related number fields

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

First 6 of 2592 characters in Galois orbit

Character	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{731025}(47,\cdot)$	$1$	$1$	$e\left(\frac{571}{10260}\right)$	$e\left(\frac{571}{5130}\right)$	$e\left(\frac{1493}{2052}\right)$	$e\left(\frac{571}{3420}\right)$	$e\left(\frac{203}{5130}\right)$	$e\left(\frac{2039}{10260}\right)$	$e\left(\frac{2009}{2565}\right)$	$e\left(\frac{571}{2565}\right)$	$e\left(\frac{1741}{3420}\right)$	$e\left(\frac{977}{10260}\right)$
$\chi_{731025}(272,\cdot)$	$1$	$1$	$e\left(\frac{2131}{10260}\right)$	$e\left(\frac{2131}{5130}\right)$	$e\left(\frac{185}{2052}\right)$	$e\left(\frac{2131}{3420}\right)$	$e\left(\frac{533}{5130}\right)$	$e\left(\frac{9119}{10260}\right)$	$e\left(\frac{764}{2565}\right)$	$e\left(\frac{2131}{2565}\right)$	$e\left(\frac{2221}{3420}\right)$	$e\left(\frac{3197}{10260}\right)$
$\chi_{731025}(308,\cdot)$	$1$	$1$	$e\left(\frac{4789}{10260}\right)$	$e\left(\frac{4789}{5130}\right)$	$e\left(\frac{695}{2052}\right)$	$e\left(\frac{1369}{3420}\right)$	$e\left(\frac{3167}{5130}\right)$	$e\left(\frac{8081}{10260}\right)$	$e\left(\frac{2066}{2565}\right)$	$e\left(\frac{2224}{2565}\right)$	$e\left(\frac{2539}{3420}\right)$	$e\left(\frac{863}{10260}\right)$
$\chi_{731025}(662,\cdot)$	$1$	$1$	$e\left(\frac{3647}{10260}\right)$	$e\left(\frac{3647}{5130}\right)$	$e\left(\frac{1813}{2052}\right)$	$e\left(\frac{227}{3420}\right)$	$e\left(\frac{2761}{5130}\right)$	$e\left(\frac{4003}{10260}\right)$	$e\left(\frac{613}{2565}\right)$	$e\left(\frac{1082}{2565}\right)$	$e\left(\frac{2477}{3420}\right)$	$e\left(\frac{9169}{10260}\right)$
$\chi_{731025}(1073,\cdot)$	$1$	$1$	$e\left(\frac{1993}{10260}\right)$	$e\left(\frac{1993}{5130}\right)$	$e\left(\frac{719}{2052}\right)$	$e\left(\frac{1993}{3420}\right)$	$e\left(\frac{1589}{5130}\right)$	$e\left(\frac{8177}{10260}\right)$	$e\left(\frac{1397}{2565}\right)$	$e\left(\frac{1993}{2565}\right)$	$e\left(\frac{1363}{3420}\right)$	$e\left(\frac{5171}{10260}\right)$
$\chi_{731025}(1298,\cdot)$	$1$	$1$	$e\left(\frac{4093}{10260}\right)$	$e\left(\frac{4093}{5130}\right)$	$e\left(\frac{1247}{2052}\right)$	$e\left(\frac{673}{3420}\right)$	$e\left(\frac{3809}{5130}\right)$	$e\left(\frac{8237}{10260}\right)$	$e\left(\frac{17}{2565}\right)$	$e\left(\frac{1528}{2565}\right)$	$e\left(\frac{1483}{3420}\right)$	$e\left(\frac{1451}{10260}\right)$