Dirichlet character orbit 731025.bvw

• Label: 731025.bvw
• 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

Related number fields

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

First 8 of 2592 characters in Galois orbit

Character	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{731025}(2,\cdot)$	$-1$	$1$	$e\left(\frac{733}{10260}\right)$	$e\left(\frac{733}{5130}\right)$	$e\left(\frac{2021}{2052}\right)$	$e\left(\frac{733}{3420}\right)$	$e\left(\frac{1739}{5130}\right)$	$e\left(\frac{617}{10260}\right)$	$e\left(\frac{289}{5130}\right)$	$e\left(\frac{733}{2565}\right)$	$e\left(\frac{1051}{1140}\right)$	$e\left(\frac{4211}{10260}\right)$
$\chi_{731025}(128,\cdot)$	$-1$	$1$	$e\left(\frac{5131}{10260}\right)$	$e\left(\frac{1}{5130}\right)$	$e\left(\frac{1835}{2052}\right)$	$e\left(\frac{1711}{3420}\right)$	$e\left(\frac{1913}{5130}\right)$	$e\left(\frac{4319}{10260}\right)$	$e\left(\frac{2023}{5130}\right)$	$e\left(\frac{1}{2565}\right)$	$e\left(\frac{517}{1140}\right)$	$e\left(\frac{8957}{10260}\right)$
$\chi_{731025}(497,\cdot)$	$-1$	$1$	$e\left(\frac{7801}{10260}\right)$	$e\left(\frac{2671}{5130}\right)$	$e\left(\frac{1109}{2052}\right)$	$e\left(\frac{961}{3420}\right)$	$e\left(\frac{143}{5130}\right)$	$e\left(\frac{3809}{10260}\right)$	$e\left(\frac{1543}{5130}\right)$	$e\left(\frac{106}{2565}\right)$	$e\left(\frac{367}{1140}\right)$	$e\left(\frac{8087}{10260}\right)$
$\chi_{731025}(1022,\cdot)$	$-1$	$1$	$e\left(\frac{5021}{10260}\right)$	$e\left(\frac{5021}{5130}\right)$	$e\left(\frac{1081}{2052}\right)$	$e\left(\frac{1601}{3420}\right)$	$e\left(\frac{1813}{5130}\right)$	$e\left(\frac{1189}{10260}\right)$	$e\left(\frac{83}{5130}\right)$	$e\left(\frac{2456}{2565}\right)$	$e\left(\frac{647}{1140}\right)$	$e\left(\frac{8647}{10260}\right)$
$\chi_{731025}(1028,\cdot)$	$-1$	$1$	$e\left(\frac{1831}{10260}\right)$	$e\left(\frac{1831}{5130}\right)$	$e\left(\frac{1787}{2052}\right)$	$e\left(\frac{1831}{3420}\right)$	$e\left(\frac{4043}{5130}\right)$	$e\left(\frac{2759}{10260}\right)$	$e\left(\frac{253}{5130}\right)$	$e\left(\frac{1831}{2565}\right)$	$e\left(\frac{997}{1140}\right)$	$e\left(\frac{9917}{10260}\right)$
$\chi_{731025}(1058,\cdot)$	$-1$	$1$	$e\left(\frac{4439}{10260}\right)$	$e\left(\frac{4439}{5130}\right)$	$e\left(\frac{151}{2052}\right)$	$e\left(\frac{1019}{3420}\right)$	$e\left(\frac{1657}{5130}\right)$	$e\left(\frac{1231}{10260}\right)$	$e\left(\frac{2597}{5130}\right)$	$e\left(\frac{1874}{2565}\right)$	$e\left(\frac{713}{1140}\right)$	$e\left(\frac{7753}{10260}\right)$
$\chi_{731025}(1283,\cdot)$	$-1$	$1$	$e\left(\frac{1679}{10260}\right)$	$e\left(\frac{1679}{5130}\right)$	$e\left(\frac{1939}{2052}\right)$	$e\left(\frac{1679}{3420}\right)$	$e\left(\frac{547}{5130}\right)$	$e\left(\frac{2911}{10260}\right)$	$e\left(\frac{557}{5130}\right)$	$e\left(\frac{1679}{2565}\right)$	$e\left(\frac{1073}{1140}\right)$	$e\left(\frac{2773}{10260}\right)$
$\chi_{731025}(1523,\cdot)$	$-1$	$1$	$e\left(\frac{1123}{10260}\right)$	$e\left(\frac{1123}{5130}\right)$	$e\left(\frac{1523}{2052}\right)$	$e\left(\frac{1123}{3420}\right)$	$e\left(\frac{3959}{5130}\right)$	$e\left(\frac{2387}{10260}\right)$	$e\left(\frac{4369}{5130}\right)$	$e\left(\frac{1123}{2565}\right)$	$e\left(\frac{901}{1140}\right)$	$e\left(\frac{9041}{10260}\right)$