Dirichlet character orbit 731025.bqa

• Label: 731025.bqa
• Modulus: $731025$
• Conductor: $731025$
• Order: $2565$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$731025$
Conductor:	$731025$
Order:	$2565$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Related number fields

Field of values:	$\Q(\zeta_{2565})$
Fixed field:	Number field defined by a degree 2565 polynomial (not computed)

First 31 of 1296 characters in Galois orbit

Character	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{731025}(16,\cdot)$	$1$	$1$	$e\left(\frac{733}{2565}\right)$	$e\left(\frac{1466}{2565}\right)$	$e\left(\frac{482}{513}\right)$	$e\left(\frac{733}{855}\right)$	$e\left(\frac{913}{2565}\right)$	$e\left(\frac{617}{2565}\right)$	$e\left(\frac{578}{2565}\right)$	$e\left(\frac{367}{2565}\right)$	$e\left(\frac{196}{285}\right)$	$e\left(\frac{1646}{2565}\right)$
$\chi_{731025}(256,\cdot)$	$1$	$1$	$e\left(\frac{1466}{2565}\right)$	$e\left(\frac{367}{2565}\right)$	$e\left(\frac{451}{513}\right)$	$e\left(\frac{611}{855}\right)$	$e\left(\frac{1826}{2565}\right)$	$e\left(\frac{1234}{2565}\right)$	$e\left(\frac{1156}{2565}\right)$	$e\left(\frac{734}{2565}\right)$	$e\left(\frac{107}{285}\right)$	$e\left(\frac{727}{2565}\right)$
$\chi_{731025}(481,\cdot)$	$1$	$1$	$e\left(\frac{1076}{2565}\right)$	$e\left(\frac{2152}{2565}\right)$	$e\left(\frac{436}{513}\right)$	$e\left(\frac{221}{855}\right)$	$e\left(\frac{2516}{2565}\right)$	$e\left(\frac{2029}{2565}\right)$	$e\left(\frac{691}{2565}\right)$	$e\left(\frac{1739}{2565}\right)$	$e\left(\frac{257}{285}\right)$	$e\left(\frac{1027}{2565}\right)$
$\chi_{731025}(511,\cdot)$	$1$	$1$	$e\left(\frac{1072}{2565}\right)$	$e\left(\frac{2144}{2565}\right)$	$e\left(\frac{278}{513}\right)$	$e\left(\frac{217}{855}\right)$	$e\left(\frac{37}{2565}\right)$	$e\left(\frac{143}{2565}\right)$	$e\left(\frac{2462}{2565}\right)$	$e\left(\frac{1723}{2565}\right)$	$e\left(\frac{184}{285}\right)$	$e\left(\frac{1109}{2565}\right)$
$\chi_{731025}(1411,\cdot)$	$1$	$1$	$e\left(\frac{1627}{2565}\right)$	$e\left(\frac{689}{2565}\right)$	$e\left(\frac{398}{513}\right)$	$e\left(\frac{772}{855}\right)$	$e\left(\frac{2212}{2565}\right)$	$e\left(\frac{1478}{2565}\right)$	$e\left(\frac{1052}{2565}\right)$	$e\left(\frac{1378}{2565}\right)$	$e\left(\frac{124}{285}\right)$	$e\left(\frac{1274}{2565}\right)$
$\chi_{731025}(2056,\cdot)$	$1$	$1$	$e\left(\frac{641}{2565}\right)$	$e\left(\frac{1282}{2565}\right)$	$e\left(\frac{439}{513}\right)$	$e\left(\frac{641}{855}\right)$	$e\left(\frac{326}{2565}\right)$	$e\left(\frac{844}{2565}\right)$	$e\left(\frac{271}{2565}\right)$	$e\left(\frac{2564}{2565}\right)$	$e\left(\frac{227}{285}\right)$	$e\left(\frac{967}{2565}\right)$
$\chi_{731025}(2821,\cdot)$	$1$	$1$	$e\left(\frac{1799}{2565}\right)$	$e\left(\frac{1033}{2565}\right)$	$e\left(\frac{10}{513}\right)$	$e\left(\frac{89}{855}\right)$	$e\left(\frac{1079}{2565}\right)$	$e\left(\frac{496}{2565}\right)$	$e\left(\frac{1849}{2565}\right)$	$e\left(\frac{2066}{2565}\right)$	$e\left(\frac{128}{285}\right)$	$e\left(\frac{313}{2565}\right)$
$\chi_{731025}(3046,\cdot)$	$1$	$1$	$e\left(\frac{464}{2565}\right)$	$e\left(\frac{928}{2565}\right)$	$e\left(\frac{373}{513}\right)$	$e\left(\frac{464}{855}\right)$	$e\left(\frac{284}{2565}\right)$	$e\left(\frac{751}{2565}\right)$	$e\left(\frac{2329}{2565}\right)$	$e\left(\frac{1856}{2565}\right)$	$e\left(\frac{203}{285}\right)$	$e\left(\frac{748}{2565}\right)$
$\chi_{731025}(4621,\cdot)$	$1$	$1$	$e\left(\frac{2459}{2565}\right)$	$e\left(\frac{2353}{2565}\right)$	$e\left(\frac{430}{513}\right)$	$e\left(\frac{749}{855}\right)$	$e\left(\frac{2279}{2565}\right)$	$e\left(\frac{1321}{2565}\right)$	$e\left(\frac{2044}{2565}\right)$	$e\left(\frac{2141}{2565}\right)$	$e\left(\frac{203}{285}\right)$	$e\left(\frac{2173}{2565}\right)$
$\chi_{731025}(5146,\cdot)$	$1$	$1$	$e\left(\frac{1129}{2565}\right)$	$e\left(\frac{2258}{2565}\right)$	$e\left(\frac{221}{513}\right)$	$e\left(\frac{274}{855}\right)$	$e\left(\frac{94}{2565}\right)$	$e\left(\frac{86}{2565}\right)$	$e\left(\frac{2234}{2565}\right)$	$e\left(\frac{1951}{2565}\right)$	$e\left(\frac{13}{285}\right)$	$e\left(\frac{1223}{2565}\right)$
$\chi_{731025}(5386,\cdot)$	$1$	$1$	$e\left(\frac{2132}{2565}\right)$	$e\left(\frac{1699}{2565}\right)$	$e\left(\frac{82}{513}\right)$	$e\left(\frac{422}{855}\right)$	$e\left(\frac{332}{2565}\right)$	$e\left(\frac{2323}{2565}\right)$	$e\left(\frac{2542}{2565}\right)$	$e\left(\frac{833}{2565}\right)$	$e\left(\frac{149}{285}\right)$	$e\left(\frac{2464}{2565}\right)$
$\chi_{731025}(5611,\cdot)$	$1$	$1$	$e\left(\frac{2417}{2565}\right)$	$e\left(\frac{2269}{2565}\right)$	$e\left(\frac{310}{513}\right)$	$e\left(\frac{707}{855}\right)$	$e\left(\frac{617}{2565}\right)$	$e\left(\frac{2038}{2565}\right)$	$e\left(\frac{1402}{2565}\right)$	$e\left(\frac{1973}{2565}\right)$	$e\left(\frac{149}{285}\right)$	$e\left(\frac{469}{2565}\right)$
$\chi_{731025}(5641,\cdot)$	$1$	$1$	$e\left(\frac{2008}{2565}\right)$	$e\left(\frac{1451}{2565}\right)$	$e\left(\frac{314}{513}\right)$	$e\left(\frac{298}{855}\right)$	$e\left(\frac{433}{2565}\right)$	$e\left(\frac{287}{2565}\right)$	$e\left(\frac{1013}{2565}\right)$	$e\left(\frac{337}{2565}\right)$	$e\left(\frac{166}{285}\right)$	$e\left(\frac{2441}{2565}\right)$
$\chi_{731025}(6541,\cdot)$	$1$	$1$	$e\left(\frac{808}{2565}\right)$	$e\left(\frac{1616}{2565}\right)$	$e\left(\frac{110}{513}\right)$	$e\left(\frac{808}{855}\right)$	$e\left(\frac{583}{2565}\right)$	$e\left(\frac{1352}{2565}\right)$	$e\left(\frac{1358}{2565}\right)$	$e\left(\frac{667}{2565}\right)$	$e\left(\frac{211}{285}\right)$	$e\left(\frac{1391}{2565}\right)$
$\chi_{731025}(7186,\cdot)$	$1$	$1$	$e\left(\frac{1712}{2565}\right)$	$e\left(\frac{859}{2565}\right)$	$e\left(\frac{421}{513}\right)$	$e\left(\frac{2}{855}\right)$	$e\left(\frac{1667}{2565}\right)$	$e\left(\frac{1798}{2565}\right)$	$e\left(\frac{1252}{2565}\right)$	$e\left(\frac{1718}{2565}\right)$	$e\left(\frac{179}{285}\right)$	$e\left(\frac{814}{2565}\right)$
$\chi_{731025}(7711,\cdot)$	$1$	$1$	$e\left(\frac{1327}{2565}\right)$	$e\left(\frac{89}{2565}\right)$	$e\left(\frac{347}{513}\right)$	$e\left(\frac{472}{855}\right)$	$e\left(\frac{967}{2565}\right)$	$e\left(\frac{1103}{2565}\right)$	$e\left(\frac{497}{2565}\right)$	$e\left(\frac{178}{2565}\right)$	$e\left(\frac{64}{285}\right)$	$e\left(\frac{2294}{2565}\right)$
$\chi_{731025}(8206,\cdot)$	$1$	$1$	$e\left(\frac{2476}{2565}\right)$	$e\left(\frac{2387}{2565}\right)$	$e\left(\frac{332}{513}\right)$	$e\left(\frac{766}{855}\right)$	$e\left(\frac{631}{2565}\right)$	$e\left(\frac{359}{2565}\right)$	$e\left(\frac{1571}{2565}\right)$	$e\left(\frac{2209}{2565}\right)$	$e\left(\frac{157}{285}\right)$	$e\left(\frac{542}{2565}\right)$
$\chi_{731025}(9106,\cdot)$	$1$	$1$	$e\left(\frac{1681}{2565}\right)$	$e\left(\frac{797}{2565}\right)$	$e\left(\frac{479}{513}\right)$	$e\left(\frac{826}{855}\right)$	$e\left(\frac{1051}{2565}\right)$	$e\left(\frac{1289}{2565}\right)$	$e\left(\frac{1511}{2565}\right)$	$e\left(\frac{1594}{2565}\right)$	$e\left(\frac{112}{285}\right)$	$e\left(\frac{167}{2565}\right)$
$\chi_{731025}(10516,\cdot)$	$1$	$1$	$e\left(\frac{233}{2565}\right)$	$e\left(\frac{466}{2565}\right)$	$e\left(\frac{226}{513}\right)$	$e\left(\frac{233}{855}\right)$	$e\left(\frac{1403}{2565}\right)$	$e\left(\frac{847}{2565}\right)$	$e\left(\frac{1363}{2565}\right)$	$e\left(\frac{932}{2565}\right)$	$e\left(\frac{191}{285}\right)$	$e\left(\frac{1636}{2565}\right)$
$\chi_{731025}(10741,\cdot)$	$1$	$1$	$e\left(\frac{1193}{2565}\right)$	$e\left(\frac{2386}{2565}\right)$	$e\left(\frac{184}{513}\right)$	$e\left(\frac{338}{855}\right)$	$e\left(\frac{1283}{2565}\right)$	$e\left(\frac{2047}{2565}\right)$	$e\left(\frac{2113}{2565}\right)$	$e\left(\frac{2207}{2565}\right)$	$e\left(\frac{41}{285}\right)$	$e\left(\frac{2476}{2565}\right)$
$\chi_{731025}(10771,\cdot)$	$1$	$1$	$e\left(\frac{379}{2565}\right)$	$e\left(\frac{758}{2565}\right)$	$e\left(\frac{350}{513}\right)$	$e\left(\frac{379}{855}\right)$	$e\left(\frac{829}{2565}\right)$	$e\left(\frac{431}{2565}\right)$	$e\left(\frac{2129}{2565}\right)$	$e\left(\frac{1516}{2565}\right)$	$e\left(\frac{148}{285}\right)$	$e\left(\frac{1208}{2565}\right)$
$\chi_{731025}(11671,\cdot)$	$1$	$1$	$e\left(\frac{2554}{2565}\right)$	$e\left(\frac{2543}{2565}\right)$	$e\left(\frac{335}{513}\right)$	$e\left(\frac{844}{855}\right)$	$e\left(\frac{1519}{2565}\right)$	$e\left(\frac{1226}{2565}\right)$	$e\left(\frac{1664}{2565}\right)$	$e\left(\frac{2521}{2565}\right)$	$e\left(\frac{13}{285}\right)$	$e\left(\frac{1508}{2565}\right)$
$\chi_{731025}(12316,\cdot)$	$1$	$1$	$e\left(\frac{218}{2565}\right)$	$e\left(\frac{436}{2565}\right)$	$e\left(\frac{403}{513}\right)$	$e\left(\frac{218}{855}\right)$	$e\left(\frac{443}{2565}\right)$	$e\left(\frac{187}{2565}\right)$	$e\left(\frac{2233}{2565}\right)$	$e\left(\frac{872}{2565}\right)$	$e\left(\frac{131}{285}\right)$	$e\left(\frac{661}{2565}\right)$
$\chi_{731025}(12841,\cdot)$	$1$	$1$	$e\left(\frac{1723}{2565}\right)$	$e\left(\frac{881}{2565}\right)$	$e\left(\frac{86}{513}\right)$	$e\left(\frac{13}{855}\right)$	$e\left(\frac{148}{2565}\right)$	$e\left(\frac{572}{2565}\right)$	$e\left(\frac{2153}{2565}\right)$	$e\left(\frac{1762}{2565}\right)$	$e\left(\frac{166}{285}\right)$	$e\left(\frac{1871}{2565}\right)$
$\chi_{731025}(13081,\cdot)$	$1$	$1$	$e\left(\frac{566}{2565}\right)$	$e\left(\frac{1132}{2565}\right)$	$e\left(\frac{298}{513}\right)$	$e\left(\frac{566}{855}\right)$	$e\left(\frac{656}{2565}\right)$	$e\left(\frac{109}{2565}\right)$	$e\left(\frac{2056}{2565}\right)$	$e\left(\frac{2264}{2565}\right)$	$e\left(\frac{212}{285}\right)$	$e\left(\frac{1222}{2565}\right)$
$\chi_{731025}(13306,\cdot)$	$1$	$1$	$e\left(\frac{581}{2565}\right)$	$e\left(\frac{1162}{2565}\right)$	$e\left(\frac{121}{513}\right)$	$e\left(\frac{581}{855}\right)$	$e\left(\frac{1616}{2565}\right)$	$e\left(\frac{769}{2565}\right)$	$e\left(\frac{1186}{2565}\right)$	$e\left(\frac{2324}{2565}\right)$	$e\left(\frac{272}{285}\right)$	$e\left(\frac{2197}{2565}\right)$
$\chi_{731025}(13336,\cdot)$	$1$	$1$	$e\left(\frac{847}{2565}\right)$	$e\left(\frac{1694}{2565}\right)$	$e\left(\frac{368}{513}\right)$	$e\left(\frac{847}{855}\right)$	$e\left(\frac{1027}{2565}\right)$	$e\left(\frac{503}{2565}\right)$	$e\left(\frac{122}{2565}\right)$	$e\left(\frac{823}{2565}\right)$	$e\left(\frac{139}{285}\right)$	$e\left(\frac{1874}{2565}\right)$
$\chi_{731025}(14236,\cdot)$	$1$	$1$	$e\left(\frac{862}{2565}\right)$	$e\left(\frac{1724}{2565}\right)$	$e\left(\frac{191}{513}\right)$	$e\left(\frac{7}{855}\right)$	$e\left(\frac{1987}{2565}\right)$	$e\left(\frac{1163}{2565}\right)$	$e\left(\frac{1817}{2565}\right)$	$e\left(\frac{883}{2565}\right)$	$e\left(\frac{199}{285}\right)$	$e\left(\frac{284}{2565}\right)$
$\chi_{731025}(14881,\cdot)$	$1$	$1$	$e\left(\frac{2036}{2565}\right)$	$e\left(\frac{1507}{2565}\right)$	$e\left(\frac{394}{513}\right)$	$e\left(\frac{326}{855}\right)$	$e\left(\frac{2396}{2565}\right)$	$e\left(\frac{664}{2565}\right)$	$e\left(\frac{1441}{2565}\right)$	$e\left(\frac{449}{2565}\right)$	$e\left(\frac{107}{285}\right)$	$e\left(\frac{1867}{2565}\right)$
$\chi_{731025}(15406,\cdot)$	$1$	$1$	$e\left(\frac{1921}{2565}\right)$	$e\left(\frac{1277}{2565}\right)$	$e\left(\frac{212}{513}\right)$	$e\left(\frac{211}{855}\right)$	$e\left(\frac{1021}{2565}\right)$	$e\left(\frac{1589}{2565}\right)$	$e\left(\frac{416}{2565}\right)$	$e\left(\frac{2554}{2565}\right)$	$e\left(\frac{217}{285}\right)$	$e\left(\frac{377}{2565}\right)$
$\chi_{731025}(15646,\cdot)$	$1$	$1$	$e\left(\frac{899}{2565}\right)$	$e\left(\frac{1798}{2565}\right)$	$e\left(\frac{370}{513}\right)$	$e\left(\frac{44}{855}\right)$	$e\left(\frac{2474}{2565}\right)$	$e\left(\frac{1936}{2565}\right)$	$e\left(\frac{184}{2565}\right)$	$e\left(\frac{1031}{2565}\right)$	$e\left(\frac{233}{285}\right)$	$e\left(\frac{808}{2565}\right)$