Dirichlet character orbit 3762.ed

• Label: 3762.ed
• Modulus: $3762$
• Conductor: $1881$
• Order: $90$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$3762$
Conductor:	$1881$
Order:	$90$
Real:	no
Primitive:	no, induced from 1881.ef
Minimal:	yes
Parity:	even

Related number fields

Field of values:	$\Q(\zeta_{45})$
Fixed field:	Number field defined by a degree 90 polynomial

Characters in Galois orbit

Character	$-1$	$1$	$5$	$7$	$13$	$17$	$23$	$25$	$29$	$31$	$35$	$37$
$\chi_{3762}(203,\cdot)$	$1$	$1$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{19}{45}\right)$	$e\left(\frac{16}{45}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{1}{90}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{3762}(257,\cdot)$	$1$	$1$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{67}{90}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{7}{45}\right)$	$e\left(\frac{13}{45}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{43}{90}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{3762}(509,\cdot)$	$1$	$1$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{73}{90}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{13}{45}\right)$	$e\left(\frac{37}{45}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{67}{90}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{3762}(515,\cdot)$	$1$	$1$	$e\left(\frac{11}{90}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{11}{45}\right)$	$e\left(\frac{14}{45}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{3762}(599,\cdot)$	$1$	$1$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{71}{90}\right)$	$e\left(\frac{49}{90}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{34}{45}\right)$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{3762}(641,\cdot)$	$1$	$1$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{23}{45}\right)$	$e\left(\frac{17}{45}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{3762}(839,\cdot)$	$1$	$1$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{67}{90}\right)$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{8}{45}\right)$	$e\left(\frac{2}{45}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{3762}(851,\cdot)$	$1$	$1$	$e\left(\frac{67}{90}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{22}{45}\right)$	$e\left(\frac{28}{45}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{3762}(983,\cdot)$	$1$	$1$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{43}{90}\right)$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{32}{45}\right)$	$e\left(\frac{8}{45}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{3762}(1181,\cdot)$	$1$	$1$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{17}{45}\right)$	$e\left(\frac{38}{45}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{3762}(1193,\cdot)$	$1$	$1$	$e\left(\frac{49}{90}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{11}{90}\right)$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{4}{45}\right)$	$e\left(\frac{1}{45}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{3762}(1325,\cdot)$	$1$	$1$	$e\left(\frac{59}{90}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{14}{45}\right)$	$e\left(\frac{26}{45}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{3762}(1523,\cdot)$	$1$	$1$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{11}{45}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{71}{90}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{3762}(1571,\cdot)$	$1$	$1$	$e\left(\frac{1}{90}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{59}{90}\right)$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{1}{45}\right)$	$e\left(\frac{34}{45}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{3762}(1967,\cdot)$	$1$	$1$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{16}{45}\right)$	$e\left(\frac{4}{45}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{3762}(2225,\cdot)$	$1$	$1$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{38}{45}\right)$	$e\left(\frac{32}{45}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{3762}(2561,\cdot)$	$1$	$1$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{1}{90}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{19}{45}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{49}{90}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{3762}(2567,\cdot)$	$1$	$1$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{73}{90}\right)$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{2}{45}\right)$	$e\left(\frac{23}{45}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{3762}(2693,\cdot)$	$1$	$1$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{71}{90}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{41}{45}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{59}{90}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{3762}(2891,\cdot)$	$1$	$1$	$e\left(\frac{71}{90}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{49}{90}\right)$	$e\left(\frac{11}{90}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{26}{45}\right)$	$e\left(\frac{29}{45}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{3762}(2909,\cdot)$	$1$	$1$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{90}\right)$	$e\left(\frac{59}{90}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{29}{45}\right)$	$e\left(\frac{41}{45}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{11}{90}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{3762}(3281,\cdot)$	$1$	$1$	$e\left(\frac{73}{90}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{43}{90}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{28}{45}\right)$	$e\left(\frac{7}{45}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{3762}(3623,\cdot)$	$1$	$1$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{37}{45}\right)$	$e\left(\frac{43}{45}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{73}{90}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{3762}(3677,\cdot)$	$1$	$1$	$e\left(\frac{43}{90}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{43}{45}\right)$	$e\left(\frac{22}{45}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{1}{10}\right)$