Dirichlet character orbit 731025.bpn

• Label: 731025.bpn
• 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 146205.xn
Minimal:	yes
Parity:	odd

Related number fields

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

First 31 of 648 characters in Galois orbit

Character	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$22$
$\chi_{731025}(7,\cdot)$	$-1$	$1$	$e\left(\frac{2021}{2052}\right)$	$e\left(\frac{995}{1026}\right)$	$e\left(\frac{1601}{2052}\right)$	$e\left(\frac{653}{684}\right)$	$e\left(\frac{302}{513}\right)$	$e\left(\frac{859}{2052}\right)$	$e\left(\frac{785}{1026}\right)$	$e\left(\frac{482}{513}\right)$	$e\left(\frac{103}{684}\right)$	$e\left(\frac{1177}{2052}\right)$
$\chi_{731025}(2443,\cdot)$	$-1$	$1$	$e\left(\frac{511}{2052}\right)$	$e\left(\frac{511}{1026}\right)$	$e\left(\frac{1543}{2052}\right)$	$e\left(\frac{511}{684}\right)$	$e\left(\frac{367}{513}\right)$	$e\left(\frac{1793}{2052}\right)$	$e\left(\frac{1}{1026}\right)$	$e\left(\frac{511}{513}\right)$	$e\left(\frac{641}{684}\right)$	$e\left(\frac{1979}{2052}\right)$
$\chi_{731025}(2743,\cdot)$	$-1$	$1$	$e\left(\frac{1475}{2052}\right)$	$e\left(\frac{449}{1026}\right)$	$e\left(\frac{1667}{2052}\right)$	$e\left(\frac{107}{684}\right)$	$e\left(\frac{458}{513}\right)$	$e\left(\frac{433}{2052}\right)$	$e\left(\frac{545}{1026}\right)$	$e\left(\frac{449}{513}\right)$	$e\left(\frac{505}{684}\right)$	$e\left(\frac{1255}{2052}\right)$
$\chi_{731025}(3982,\cdot)$	$-1$	$1$	$e\left(\frac{1429}{2052}\right)$	$e\left(\frac{403}{1026}\right)$	$e\left(\frac{733}{2052}\right)$	$e\left(\frac{61}{684}\right)$	$e\left(\frac{178}{513}\right)$	$e\left(\frac{119}{2052}\right)$	$e\left(\frac{55}{1026}\right)$	$e\left(\frac{403}{513}\right)$	$e\left(\frac{371}{684}\right)$	$e\left(\frac{89}{2052}\right)$
$\chi_{731025}(4282,\cdot)$	$-1$	$1$	$e\left(\frac{1745}{2052}\right)$	$e\left(\frac{719}{1026}\right)$	$e\left(\frac{101}{2052}\right)$	$e\left(\frac{377}{684}\right)$	$e\left(\frac{161}{513}\right)$	$e\left(\frac{1027}{2052}\right)$	$e\left(\frac{923}{1026}\right)$	$e\left(\frac{206}{513}\right)$	$e\left(\frac{667}{684}\right)$	$e\left(\frac{337}{2052}\right)$
$\chi_{731025}(6718,\cdot)$	$-1$	$1$	$e\left(\frac{1351}{2052}\right)$	$e\left(\frac{325}{1026}\right)$	$e\left(\frac{1915}{2052}\right)$	$e\left(\frac{667}{684}\right)$	$e\left(\frac{127}{513}\right)$	$e\left(\frac{1817}{2052}\right)$	$e\left(\frac{607}{1026}\right)$	$e\left(\frac{325}{513}\right)$	$e\left(\frac{233}{684}\right)$	$e\left(\frac{1859}{2052}\right)$
$\chi_{731025}(7018,\cdot)$	$-1$	$1$	$e\left(\frac{1199}{2052}\right)$	$e\left(\frac{173}{1026}\right)$	$e\left(\frac{167}{2052}\right)$	$e\left(\frac{515}{684}\right)$	$e\left(\frac{317}{513}\right)$	$e\left(\frac{601}{2052}\right)$	$e\left(\frac{683}{1026}\right)$	$e\left(\frac{173}{513}\right)$	$e\left(\frac{385}{684}\right)$	$e\left(\frac{415}{2052}\right)$
$\chi_{731025}(8257,\cdot)$	$-1$	$1$	$e\left(\frac{217}{2052}\right)$	$e\left(\frac{217}{1026}\right)$	$e\left(\frac{1105}{2052}\right)$	$e\left(\frac{217}{684}\right)$	$e\left(\frac{451}{513}\right)$	$e\left(\frac{143}{2052}\right)$	$e\left(\frac{661}{1026}\right)$	$e\left(\frac{217}{513}\right)$	$e\left(\frac{647}{684}\right)$	$e\left(\frac{2021}{2052}\right)$
$\chi_{731025}(8557,\cdot)$	$-1$	$1$	$e\left(\frac{1469}{2052}\right)$	$e\left(\frac{443}{1026}\right)$	$e\left(\frac{653}{2052}\right)$	$e\left(\frac{101}{684}\right)$	$e\left(\frac{20}{513}\right)$	$e\left(\frac{1195}{2052}\right)$	$e\left(\frac{35}{1026}\right)$	$e\left(\frac{443}{513}\right)$	$e\left(\frac{547}{684}\right)$	$e\left(\frac{1549}{2052}\right)$
$\chi_{731025}(10993,\cdot)$	$-1$	$1$	$e\left(\frac{139}{2052}\right)$	$e\left(\frac{139}{1026}\right)$	$e\left(\frac{235}{2052}\right)$	$e\left(\frac{139}{684}\right)$	$e\left(\frac{400}{513}\right)$	$e\left(\frac{1841}{2052}\right)$	$e\left(\frac{187}{1026}\right)$	$e\left(\frac{139}{513}\right)$	$e\left(\frac{509}{684}\right)$	$e\left(\frac{1739}{2052}\right)$
$\chi_{731025}(11293,\cdot)$	$-1$	$1$	$e\left(\frac{923}{2052}\right)$	$e\left(\frac{923}{1026}\right)$	$e\left(\frac{719}{2052}\right)$	$e\left(\frac{239}{684}\right)$	$e\left(\frac{176}{513}\right)$	$e\left(\frac{769}{2052}\right)$	$e\left(\frac{821}{1026}\right)$	$e\left(\frac{410}{513}\right)$	$e\left(\frac{265}{684}\right)$	$e\left(\frac{1627}{2052}\right)$
$\chi_{731025}(12532,\cdot)$	$-1$	$1$	$e\left(\frac{1057}{2052}\right)$	$e\left(\frac{31}{1026}\right)$	$e\left(\frac{1477}{2052}\right)$	$e\left(\frac{373}{684}\right)$	$e\left(\frac{211}{513}\right)$	$e\left(\frac{167}{2052}\right)$	$e\left(\frac{241}{1026}\right)$	$e\left(\frac{31}{513}\right)$	$e\left(\frac{239}{684}\right)$	$e\left(\frac{1901}{2052}\right)$
$\chi_{731025}(12832,\cdot)$	$-1$	$1$	$e\left(\frac{1193}{2052}\right)$	$e\left(\frac{167}{1026}\right)$	$e\left(\frac{1205}{2052}\right)$	$e\left(\frac{509}{684}\right)$	$e\left(\frac{392}{513}\right)$	$e\left(\frac{1363}{2052}\right)$	$e\left(\frac{173}{1026}\right)$	$e\left(\frac{167}{513}\right)$	$e\left(\frac{427}{684}\right)$	$e\left(\frac{709}{2052}\right)$
$\chi_{731025}(15268,\cdot)$	$-1$	$1$	$e\left(\frac{979}{2052}\right)$	$e\left(\frac{979}{1026}\right)$	$e\left(\frac{607}{2052}\right)$	$e\left(\frac{295}{684}\right)$	$e\left(\frac{160}{513}\right)$	$e\left(\frac{1865}{2052}\right)$	$e\left(\frac{793}{1026}\right)$	$e\left(\frac{466}{513}\right)$	$e\left(\frac{101}{684}\right)$	$e\left(\frac{1619}{2052}\right)$
$\chi_{731025}(15568,\cdot)$	$-1$	$1$	$e\left(\frac{647}{2052}\right)$	$e\left(\frac{647}{1026}\right)$	$e\left(\frac{1271}{2052}\right)$	$e\left(\frac{647}{684}\right)$	$e\left(\frac{35}{513}\right)$	$e\left(\frac{937}{2052}\right)$	$e\left(\frac{959}{1026}\right)$	$e\left(\frac{134}{513}\right)$	$e\left(\frac{145}{684}\right)$	$e\left(\frac{787}{2052}\right)$
$\chi_{731025}(16807,\cdot)$	$-1$	$1$	$e\left(\frac{1897}{2052}\right)$	$e\left(\frac{871}{1026}\right)$	$e\left(\frac{1849}{2052}\right)$	$e\left(\frac{529}{684}\right)$	$e\left(\frac{484}{513}\right)$	$e\left(\frac{191}{2052}\right)$	$e\left(\frac{847}{1026}\right)$	$e\left(\frac{358}{513}\right)$	$e\left(\frac{515}{684}\right)$	$e\left(\frac{1781}{2052}\right)$
$\chi_{731025}(17107,\cdot)$	$-1$	$1$	$e\left(\frac{917}{2052}\right)$	$e\left(\frac{917}{1026}\right)$	$e\left(\frac{1757}{2052}\right)$	$e\left(\frac{233}{684}\right)$	$e\left(\frac{251}{513}\right)$	$e\left(\frac{1531}{2052}\right)$	$e\left(\frac{311}{1026}\right)$	$e\left(\frac{404}{513}\right)$	$e\left(\frac{307}{684}\right)$	$e\left(\frac{1921}{2052}\right)$
$\chi_{731025}(19543,\cdot)$	$-1$	$1$	$e\left(\frac{1819}{2052}\right)$	$e\left(\frac{793}{1026}\right)$	$e\left(\frac{979}{2052}\right)$	$e\left(\frac{451}{684}\right)$	$e\left(\frac{433}{513}\right)$	$e\left(\frac{1889}{2052}\right)$	$e\left(\frac{373}{1026}\right)$	$e\left(\frac{280}{513}\right)$	$e\left(\frac{377}{684}\right)$	$e\left(\frac{1499}{2052}\right)$
$\chi_{731025}(19843,\cdot)$	$-1$	$1$	$e\left(\frac{371}{2052}\right)$	$e\left(\frac{371}{1026}\right)$	$e\left(\frac{1823}{2052}\right)$	$e\left(\frac{371}{684}\right)$	$e\left(\frac{407}{513}\right)$	$e\left(\frac{1105}{2052}\right)$	$e\left(\frac{71}{1026}\right)$	$e\left(\frac{371}{513}\right)$	$e\left(\frac{25}{684}\right)$	$e\left(\frac{1999}{2052}\right)$
$\chi_{731025}(21082,\cdot)$	$-1$	$1$	$e\left(\frac{685}{2052}\right)$	$e\left(\frac{685}{1026}\right)$	$e\left(\frac{169}{2052}\right)$	$e\left(\frac{1}{684}\right)$	$e\left(\frac{244}{513}\right)$	$e\left(\frac{215}{2052}\right)$	$e\left(\frac{427}{1026}\right)$	$e\left(\frac{172}{513}\right)$	$e\left(\frac{107}{684}\right)$	$e\left(\frac{1661}{2052}\right)$
$\chi_{731025}(21382,\cdot)$	$-1$	$1$	$e\left(\frac{641}{2052}\right)$	$e\left(\frac{641}{1026}\right)$	$e\left(\frac{257}{2052}\right)$	$e\left(\frac{641}{684}\right)$	$e\left(\frac{110}{513}\right)$	$e\left(\frac{1699}{2052}\right)$	$e\left(\frac{449}{1026}\right)$	$e\left(\frac{128}{513}\right)$	$e\left(\frac{187}{684}\right)$	$e\left(\frac{1081}{2052}\right)$
$\chi_{731025}(23818,\cdot)$	$-1$	$1$	$e\left(\frac{607}{2052}\right)$	$e\left(\frac{607}{1026}\right)$	$e\left(\frac{1351}{2052}\right)$	$e\left(\frac{607}{684}\right)$	$e\left(\frac{193}{513}\right)$	$e\left(\frac{1913}{2052}\right)$	$e\left(\frac{979}{1026}\right)$	$e\left(\frac{94}{513}\right)$	$e\left(\frac{653}{684}\right)$	$e\left(\frac{1379}{2052}\right)$
$\chi_{731025}(25357,\cdot)$	$-1$	$1$	$e\left(\frac{1525}{2052}\right)$	$e\left(\frac{499}{1026}\right)$	$e\left(\frac{541}{2052}\right)$	$e\left(\frac{157}{684}\right)$	$e\left(\frac{4}{513}\right)$	$e\left(\frac{239}{2052}\right)$	$e\left(\frac{7}{1026}\right)$	$e\left(\frac{499}{513}\right)$	$e\left(\frac{383}{684}\right)$	$e\left(\frac{1541}{2052}\right)$
$\chi_{731025}(25657,\cdot)$	$-1$	$1$	$e\left(\frac{365}{2052}\right)$	$e\left(\frac{365}{1026}\right)$	$e\left(\frac{809}{2052}\right)$	$e\left(\frac{365}{684}\right)$	$e\left(\frac{482}{513}\right)$	$e\left(\frac{1867}{2052}\right)$	$e\left(\frac{587}{1026}\right)$	$e\left(\frac{365}{513}\right)$	$e\left(\frac{67}{684}\right)$	$e\left(\frac{241}{2052}\right)$
$\chi_{731025}(28093,\cdot)$	$-1$	$1$	$e\left(\frac{1447}{2052}\right)$	$e\left(\frac{421}{1026}\right)$	$e\left(\frac{1723}{2052}\right)$	$e\left(\frac{79}{684}\right)$	$e\left(\frac{466}{513}\right)$	$e\left(\frac{1937}{2052}\right)$	$e\left(\frac{559}{1026}\right)$	$e\left(\frac{421}{513}\right)$	$e\left(\frac{245}{684}\right)$	$e\left(\frac{1259}{2052}\right)$
$\chi_{731025}(28393,\cdot)$	$-1$	$1$	$e\left(\frac{1871}{2052}\right)$	$e\left(\frac{845}{1026}\right)$	$e\left(\frac{875}{2052}\right)$	$e\left(\frac{503}{684}\right)$	$e\left(\frac{125}{513}\right)$	$e\left(\frac{1441}{2052}\right)$	$e\left(\frac{347}{1026}\right)$	$e\left(\frac{332}{513}\right)$	$e\left(\frac{469}{684}\right)$	$e\left(\frac{319}{2052}\right)$
$\chi_{731025}(29632,\cdot)$	$-1$	$1$	$e\left(\frac{313}{2052}\right)$	$e\left(\frac{313}{1026}\right)$	$e\left(\frac{913}{2052}\right)$	$e\left(\frac{313}{684}\right)$	$e\left(\frac{277}{513}\right)$	$e\left(\frac{263}{2052}\right)$	$e\left(\frac{613}{1026}\right)$	$e\left(\frac{313}{513}\right)$	$e\left(\frac{659}{684}\right)$	$e\left(\frac{1421}{2052}\right)$
$\chi_{731025}(29932,\cdot)$	$-1$	$1$	$e\left(\frac{89}{2052}\right)$	$e\left(\frac{89}{1026}\right)$	$e\left(\frac{1361}{2052}\right)$	$e\left(\frac{89}{684}\right)$	$e\left(\frac{341}{513}\right)$	$e\left(\frac{2035}{2052}\right)$	$e\left(\frac{725}{1026}\right)$	$e\left(\frac{89}{513}\right)$	$e\left(\frac{631}{684}\right)$	$e\left(\frac{1453}{2052}\right)$
$\chi_{731025}(32368,\cdot)$	$-1$	$1$	$e\left(\frac{235}{2052}\right)$	$e\left(\frac{235}{1026}\right)$	$e\left(\frac{43}{2052}\right)$	$e\left(\frac{235}{684}\right)$	$e\left(\frac{226}{513}\right)$	$e\left(\frac{1961}{2052}\right)$	$e\left(\frac{139}{1026}\right)$	$e\left(\frac{235}{513}\right)$	$e\left(\frac{521}{684}\right)$	$e\left(\frac{1139}{2052}\right)$
$\chi_{731025}(32668,\cdot)$	$-1$	$1$	$e\left(\frac{1595}{2052}\right)$	$e\left(\frac{569}{1026}\right)$	$e\left(\frac{1427}{2052}\right)$	$e\left(\frac{227}{684}\right)$	$e\left(\frac{497}{513}\right)$	$e\left(\frac{1609}{2052}\right)$	$e\left(\frac{485}{1026}\right)$	$e\left(\frac{56}{513}\right)$	$e\left(\frac{349}{684}\right)$	$e\left(\frac{1531}{2052}\right)$
$\chi_{731025}(33907,\cdot)$	$-1$	$1$	$e\left(\frac{1153}{2052}\right)$	$e\left(\frac{127}{1026}\right)$	$e\left(\frac{1285}{2052}\right)$	$e\left(\frac{469}{684}\right)$	$e\left(\frac{37}{513}\right)$	$e\left(\frac{287}{2052}\right)$	$e\left(\frac{193}{1026}\right)$	$e\left(\frac{127}{513}\right)$	$e\left(\frac{251}{684}\right)$	$e\left(\frac{1301}{2052}\right)$