Dirichlet character orbit 3267.bl

• Label: 3267.bl
• Modulus: $3267$
• Conductor: $1089$
• Order: $165$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	$3267$
Conductor:	$1089$
Order:	$165$
Real:	no
Primitive:	no, induced from 1089.bc
Minimal:	no
Parity:	even

Related number fields

Field of values:	$\Q(\zeta_{165})$
Fixed field:	Number field defined by a degree 165 polynomial (not computed)

First 31 of 80 characters in Galois orbit

Character	$-1$	$1$	$2$	$4$	$5$	$7$	$8$	$10$	$13$	$14$	$16$	$17$
$\chi_{3267}(37,\cdot)$	$1$	$1$	$e\left(\frac{118}{165}\right)$	$e\left(\frac{71}{165}\right)$	$e\left(\frac{152}{165}\right)$	$e\left(\frac{1}{165}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{38}{165}\right)$	$e\left(\frac{119}{165}\right)$	$e\left(\frac{142}{165}\right)$	$e\left(\frac{39}{55}\right)$
$\chi_{3267}(64,\cdot)$	$1$	$1$	$e\left(\frac{64}{165}\right)$	$e\left(\frac{128}{165}\right)$	$e\left(\frac{116}{165}\right)$	$e\left(\frac{118}{165}\right)$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{29}{165}\right)$	$e\left(\frac{17}{165}\right)$	$e\left(\frac{91}{165}\right)$	$e\left(\frac{37}{55}\right)$
$\chi_{3267}(91,\cdot)$	$1$	$1$	$e\left(\frac{52}{165}\right)$	$e\left(\frac{104}{165}\right)$	$e\left(\frac{53}{165}\right)$	$e\left(\frac{34}{165}\right)$	$e\left(\frac{52}{55}\right)$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{137}{165}\right)$	$e\left(\frac{86}{165}\right)$	$e\left(\frac{43}{165}\right)$	$e\left(\frac{6}{55}\right)$
$\chi_{3267}(181,\cdot)$	$1$	$1$	$e\left(\frac{26}{165}\right)$	$e\left(\frac{52}{165}\right)$	$e\left(\frac{109}{165}\right)$	$e\left(\frac{17}{165}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{151}{165}\right)$	$e\left(\frac{43}{165}\right)$	$e\left(\frac{104}{165}\right)$	$e\left(\frac{3}{55}\right)$
$\chi_{3267}(235,\cdot)$	$1$	$1$	$e\left(\frac{38}{165}\right)$	$e\left(\frac{76}{165}\right)$	$e\left(\frac{7}{165}\right)$	$e\left(\frac{101}{165}\right)$	$e\left(\frac{38}{55}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{43}{165}\right)$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{152}{165}\right)$	$e\left(\frac{34}{55}\right)$
$\chi_{3267}(262,\cdot)$	$1$	$1$	$e\left(\frac{59}{165}\right)$	$e\left(\frac{118}{165}\right)$	$e\left(\frac{76}{165}\right)$	$e\left(\frac{83}{165}\right)$	$e\left(\frac{4}{55}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{19}{165}\right)$	$e\left(\frac{142}{165}\right)$	$e\left(\frac{71}{165}\right)$	$e\left(\frac{47}{55}\right)$
$\chi_{3267}(280,\cdot)$	$1$	$1$	$e\left(\frac{16}{165}\right)$	$e\left(\frac{32}{165}\right)$	$e\left(\frac{29}{165}\right)$	$e\left(\frac{112}{165}\right)$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{131}{165}\right)$	$e\left(\frac{128}{165}\right)$	$e\left(\frac{64}{165}\right)$	$e\left(\frac{23}{55}\right)$
$\chi_{3267}(289,\cdot)$	$1$	$1$	$e\left(\frac{92}{165}\right)$	$e\left(\frac{19}{165}\right)$	$e\left(\frac{43}{165}\right)$	$e\left(\frac{149}{165}\right)$	$e\left(\frac{37}{55}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{52}{165}\right)$	$e\left(\frac{76}{165}\right)$	$e\left(\frac{38}{165}\right)$	$e\left(\frac{36}{55}\right)$
$\chi_{3267}(334,\cdot)$	$1$	$1$	$e\left(\frac{163}{165}\right)$	$e\left(\frac{161}{165}\right)$	$e\left(\frac{17}{165}\right)$	$e\left(\frac{151}{165}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{128}{165}\right)$	$e\left(\frac{149}{165}\right)$	$e\left(\frac{157}{165}\right)$	$e\left(\frac{4}{55}\right)$
$\chi_{3267}(361,\cdot)$	$1$	$1$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{113}{165}\right)$	$e\left(\frac{56}{165}\right)$	$e\left(\frac{148}{165}\right)$	$e\left(\frac{29}{55}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{14}{165}\right)$	$e\left(\frac{122}{165}\right)$	$e\left(\frac{61}{165}\right)$	$e\left(\frac{52}{55}\right)$
$\chi_{3267}(388,\cdot)$	$1$	$1$	$e\left(\frac{112}{165}\right)$	$e\left(\frac{59}{165}\right)$	$e\left(\frac{38}{165}\right)$	$e\left(\frac{124}{165}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{92}{165}\right)$	$e\left(\frac{71}{165}\right)$	$e\left(\frac{118}{165}\right)$	$e\left(\frac{51}{55}\right)$
$\chi_{3267}(478,\cdot)$	$1$	$1$	$e\left(\frac{161}{165}\right)$	$e\left(\frac{157}{165}\right)$	$e\left(\frac{34}{165}\right)$	$e\left(\frac{137}{165}\right)$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{91}{165}\right)$	$e\left(\frac{133}{165}\right)$	$e\left(\frac{149}{165}\right)$	$e\left(\frac{8}{55}\right)$
$\chi_{3267}(532,\cdot)$	$1$	$1$	$e\left(\frac{83}{165}\right)$	$e\left(\frac{1}{165}\right)$	$e\left(\frac{37}{165}\right)$	$e\left(\frac{86}{165}\right)$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{133}{165}\right)$	$e\left(\frac{4}{165}\right)$	$e\left(\frac{2}{165}\right)$	$e\left(\frac{54}{55}\right)$
$\chi_{3267}(559,\cdot)$	$1$	$1$	$e\left(\frac{134}{165}\right)$	$e\left(\frac{103}{165}\right)$	$e\left(\frac{16}{165}\right)$	$e\left(\frac{113}{165}\right)$	$e\left(\frac{24}{55}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{4}{165}\right)$	$e\left(\frac{82}{165}\right)$	$e\left(\frac{41}{165}\right)$	$e\left(\frac{7}{55}\right)$
$\chi_{3267}(577,\cdot)$	$1$	$1$	$e\left(\frac{151}{165}\right)$	$e\left(\frac{137}{165}\right)$	$e\left(\frac{119}{165}\right)$	$e\left(\frac{67}{165}\right)$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{71}{165}\right)$	$e\left(\frac{53}{165}\right)$	$e\left(\frac{109}{165}\right)$	$e\left(\frac{28}{55}\right)$
$\chi_{3267}(586,\cdot)$	$1$	$1$	$e\left(\frac{152}{165}\right)$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{28}{165}\right)$	$e\left(\frac{74}{165}\right)$	$e\left(\frac{42}{55}\right)$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{7}{165}\right)$	$e\left(\frac{61}{165}\right)$	$e\left(\frac{113}{165}\right)$	$e\left(\frac{26}{55}\right)$
$\chi_{3267}(631,\cdot)$	$1$	$1$	$e\left(\frac{43}{165}\right)$	$e\left(\frac{86}{165}\right)$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{136}{165}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{53}{165}\right)$	$e\left(\frac{14}{165}\right)$	$e\left(\frac{7}{165}\right)$	$e\left(\frac{24}{55}\right)$
$\chi_{3267}(658,\cdot)$	$1$	$1$	$e\left(\frac{49}{165}\right)$	$e\left(\frac{98}{165}\right)$	$e\left(\frac{161}{165}\right)$	$e\left(\frac{13}{165}\right)$	$e\left(\frac{49}{55}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{164}{165}\right)$	$e\left(\frac{62}{165}\right)$	$e\left(\frac{31}{165}\right)$	$e\left(\frac{12}{55}\right)$
$\chi_{3267}(685,\cdot)$	$1$	$1$	$e\left(\frac{7}{165}\right)$	$e\left(\frac{14}{165}\right)$	$e\left(\frac{23}{165}\right)$	$e\left(\frac{49}{165}\right)$	$e\left(\frac{7}{55}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{56}{165}\right)$	$e\left(\frac{28}{165}\right)$	$e\left(\frac{41}{55}\right)$
$\chi_{3267}(775,\cdot)$	$1$	$1$	$e\left(\frac{131}{165}\right)$	$e\left(\frac{97}{165}\right)$	$e\left(\frac{124}{165}\right)$	$e\left(\frac{92}{165}\right)$	$e\left(\frac{21}{55}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{31}{165}\right)$	$e\left(\frac{58}{165}\right)$	$e\left(\frac{29}{165}\right)$	$e\left(\frac{13}{55}\right)$
$\chi_{3267}(829,\cdot)$	$1$	$1$	$e\left(\frac{128}{165}\right)$	$e\left(\frac{91}{165}\right)$	$e\left(\frac{67}{165}\right)$	$e\left(\frac{71}{165}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{58}{165}\right)$	$e\left(\frac{34}{165}\right)$	$e\left(\frac{17}{165}\right)$	$e\left(\frac{19}{55}\right)$
$\chi_{3267}(883,\cdot)$	$1$	$1$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{94}{165}\right)$	$e\left(\frac{13}{165}\right)$	$e\left(\frac{164}{165}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{127}{165}\right)$	$e\left(\frac{46}{165}\right)$	$e\left(\frac{23}{165}\right)$	$e\left(\frac{16}{55}\right)$
$\chi_{3267}(955,\cdot)$	$1$	$1$	$e\left(\frac{124}{165}\right)$	$e\left(\frac{83}{165}\right)$	$e\left(\frac{101}{165}\right)$	$e\left(\frac{43}{165}\right)$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{149}{165}\right)$	$e\left(\frac{2}{165}\right)$	$e\left(\frac{1}{165}\right)$	$e\left(\frac{27}{55}\right)$
$\chi_{3267}(982,\cdot)$	$1$	$1$	$e\left(\frac{67}{165}\right)$	$e\left(\frac{134}{165}\right)$	$e\left(\frac{8}{165}\right)$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{2}{165}\right)$	$e\left(\frac{41}{165}\right)$	$e\left(\frac{103}{165}\right)$	$e\left(\frac{31}{55}\right)$
$\chi_{3267}(1072,\cdot)$	$1$	$1$	$e\left(\frac{101}{165}\right)$	$e\left(\frac{37}{165}\right)$	$e\left(\frac{49}{165}\right)$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{46}{55}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{136}{165}\right)$	$e\left(\frac{148}{165}\right)$	$e\left(\frac{74}{165}\right)$	$e\left(\frac{18}{55}\right)$
$\chi_{3267}(1126,\cdot)$	$1$	$1$	$e\left(\frac{8}{165}\right)$	$e\left(\frac{16}{165}\right)$	$e\left(\frac{97}{165}\right)$	$e\left(\frac{56}{165}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{148}{165}\right)$	$e\left(\frac{64}{165}\right)$	$e\left(\frac{32}{165}\right)$	$e\left(\frac{39}{55}\right)$
$\chi_{3267}(1153,\cdot)$	$1$	$1$	$e\left(\frac{119}{165}\right)$	$e\left(\frac{73}{165}\right)$	$e\left(\frac{61}{165}\right)$	$e\left(\frac{8}{165}\right)$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{127}{165}\right)$	$e\left(\frac{146}{165}\right)$	$e\left(\frac{37}{55}\right)$
$\chi_{3267}(1171,\cdot)$	$1$	$1$	$e\left(\frac{91}{165}\right)$	$e\left(\frac{17}{165}\right)$	$e\left(\frac{134}{165}\right)$	$e\left(\frac{142}{165}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{116}{165}\right)$	$e\left(\frac{68}{165}\right)$	$e\left(\frac{34}{165}\right)$	$e\left(\frac{38}{55}\right)$
$\chi_{3267}(1180,\cdot)$	$1$	$1$	$e\left(\frac{107}{165}\right)$	$e\left(\frac{49}{165}\right)$	$e\left(\frac{163}{165}\right)$	$e\left(\frac{89}{165}\right)$	$e\left(\frac{52}{55}\right)$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{82}{165}\right)$	$e\left(\frac{31}{165}\right)$	$e\left(\frac{98}{165}\right)$	$e\left(\frac{6}{55}\right)$
$\chi_{3267}(1225,\cdot)$	$1$	$1$	$e\left(\frac{133}{165}\right)$	$e\left(\frac{101}{165}\right)$	$e\left(\frac{107}{165}\right)$	$e\left(\frac{106}{165}\right)$	$e\left(\frac{23}{55}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{68}{165}\right)$	$e\left(\frac{74}{165}\right)$	$e\left(\frac{37}{165}\right)$	$e\left(\frac{9}{55}\right)$
$\chi_{3267}(1252,\cdot)$	$1$	$1$	$e\left(\frac{34}{165}\right)$	$e\left(\frac{68}{165}\right)$	$e\left(\frac{41}{165}\right)$	$e\left(\frac{73}{165}\right)$	$e\left(\frac{34}{55}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{134}{165}\right)$	$e\left(\frac{107}{165}\right)$	$e\left(\frac{136}{165}\right)$	$e\left(\frac{42}{55}\right)$