Dirichlet character orbit 132300.rz

• Label: 132300.rz
• Modulus: $132300$
• Conductor: $18900$
• Order: $90$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$132300$
Conductor:	$18900$
Order:	$90$
Real:	no
Primitive:	no, induced from 18900.mq
Minimal:	no
Parity:	odd

Related number fields

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

Characters in Galois orbit

Character	$-1$	$1$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{132300}(79,\cdot)$	$-1$	$1$	$e\left(\frac{59}{90}\right)$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{17}{45}\right)$	$e\left(\frac{34}{45}\right)$	$e\left(\frac{67}{90}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{38}{45}\right)$	$e\left(\frac{2}{9}\right)$
$\chi_{132300}(5359,\cdot)$	$-1$	$1$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{19}{45}\right)$	$e\left(\frac{38}{45}\right)$	$e\left(\frac{59}{90}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{16}{45}\right)$	$e\left(\frac{7}{9}\right)$
$\chi_{132300}(14179,\cdot)$	$-1$	$1$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{71}{90}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{7}{45}\right)$	$e\left(\frac{14}{45}\right)$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{13}{45}\right)$	$e\left(\frac{4}{9}\right)$
$\chi_{132300}(17719,\cdot)$	$-1$	$1$	$e\left(\frac{71}{90}\right)$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{38}{45}\right)$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{73}{90}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{32}{45}\right)$	$e\left(\frac{5}{9}\right)$
$\chi_{132300}(26539,\cdot)$	$-1$	$1$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{26}{45}\right)$	$e\left(\frac{7}{45}\right)$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{29}{45}\right)$	$e\left(\frac{2}{9}\right)$
$\chi_{132300}(31819,\cdot)$	$-1$	$1$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{59}{90}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{28}{45}\right)$	$e\left(\frac{11}{45}\right)$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{7}{45}\right)$	$e\left(\frac{7}{9}\right)$
$\chi_{132300}(35359,\cdot)$	$-1$	$1$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{14}{45}\right)$	$e\left(\frac{28}{45}\right)$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{26}{45}\right)$	$e\left(\frac{8}{9}\right)$
$\chi_{132300}(40639,\cdot)$	$-1$	$1$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{16}{45}\right)$	$e\left(\frac{32}{45}\right)$	$e\left(\frac{71}{90}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{4}{45}\right)$	$e\left(\frac{4}{9}\right)$
$\chi_{132300}(44179,\cdot)$	$-1$	$1$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{1}{90}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{2}{45}\right)$	$e\left(\frac{4}{45}\right)$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{23}{45}\right)$	$e\left(\frac{5}{9}\right)$
$\chi_{132300}(49459,\cdot)$	$-1$	$1$	$e\left(\frac{43}{90}\right)$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{4}{45}\right)$	$e\left(\frac{8}{45}\right)$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{45}\right)$	$e\left(\frac{1}{9}\right)$
$\chi_{132300}(58279,\cdot)$	$-1$	$1$	$e\left(\frac{49}{90}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{37}{45}\right)$	$e\left(\frac{29}{45}\right)$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{43}{45}\right)$	$e\left(\frac{7}{9}\right)$
$\chi_{132300}(61819,\cdot)$	$-1$	$1$	$e\left(\frac{11}{90}\right)$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{23}{45}\right)$	$e\left(\frac{1}{45}\right)$	$e\left(\frac{43}{90}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{17}{45}\right)$	$e\left(\frac{8}{9}\right)$
$\chi_{132300}(70639,\cdot)$	$-1$	$1$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{73}{90}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{11}{45}\right)$	$e\left(\frac{22}{45}\right)$	$e\left(\frac{1}{90}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{14}{45}\right)$	$e\left(\frac{5}{9}\right)$
$\chi_{132300}(75919,\cdot)$	$-1$	$1$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{13}{45}\right)$	$e\left(\frac{26}{45}\right)$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{37}{45}\right)$	$e\left(\frac{1}{9}\right)$
$\chi_{132300}(79459,\cdot)$	$-1$	$1$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{67}{90}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{43}{45}\right)$	$e\left(\frac{49}{90}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{11}{45}\right)$	$e\left(\frac{2}{9}\right)$
$\chi_{132300}(84739,\cdot)$	$-1$	$1$	$e\left(\frac{67}{90}\right)$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{45}\right)$	$e\left(\frac{2}{45}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{34}{45}\right)$	$e\left(\frac{7}{9}\right)$
$\chi_{132300}(88279,\cdot)$	$-1$	$1$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{32}{45}\right)$	$e\left(\frac{19}{45}\right)$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{8}{45}\right)$	$e\left(\frac{8}{9}\right)$
$\chi_{132300}(93559,\cdot)$	$-1$	$1$	$e\left(\frac{73}{90}\right)$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{34}{45}\right)$	$e\left(\frac{23}{45}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{4}{9}\right)$
$\chi_{132300}(102379,\cdot)$	$-1$	$1$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{11}{90}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{22}{45}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{28}{45}\right)$	$e\left(\frac{1}{9}\right)$
$\chi_{132300}(105919,\cdot)$	$-1$	$1$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{49}{90}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{8}{45}\right)$	$e\left(\frac{16}{45}\right)$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{2}{45}\right)$	$e\left(\frac{2}{9}\right)$
$\chi_{132300}(114739,\cdot)$	$-1$	$1$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{43}{90}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{41}{45}\right)$	$e\left(\frac{37}{45}\right)$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{44}{45}\right)$	$e\left(\frac{8}{9}\right)$
$\chi_{132300}(120019,\cdot)$	$-1$	$1$	$e\left(\frac{1}{90}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{43}{45}\right)$	$e\left(\frac{41}{45}\right)$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{22}{45}\right)$	$e\left(\frac{4}{9}\right)$
$\chi_{132300}(123559,\cdot)$	$-1$	$1$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{29}{45}\right)$	$e\left(\frac{13}{45}\right)$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{41}{45}\right)$	$e\left(\frac{5}{9}\right)$
$\chi_{132300}(128839,\cdot)$	$-1$	$1$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{31}{45}\right)$	$e\left(\frac{17}{45}\right)$	$e\left(\frac{11}{90}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{19}{45}\right)$	$e\left(\frac{1}{9}\right)$