Dirichlet character orbit 1125.bd

• Label: 1125.bd
• Modulus: $1125$
• Conductor: $125$
• Order: $100$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$1125$
Conductor:	$125$
Order:	$100$
Real:	no
Primitive:	no, induced from 125.i
Minimal:	yes
Parity:	odd

Related number fields

Field of values:	$\Q(\zeta_{100})$
Fixed field:	Number field defined by a degree 100 polynomial

First 31 of 40 characters in Galois orbit

Character	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{1125}(28,\cdot)$	$-1$	$1$	$e\left(\frac{87}{100}\right)$	$e\left(\frac{37}{50}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{61}{100}\right)$	$e\left(\frac{3}{25}\right)$	$e\left(\frac{93}{100}\right)$	$e\left(\frac{41}{50}\right)$	$e\left(\frac{12}{25}\right)$	$e\left(\frac{51}{100}\right)$	$e\left(\frac{33}{50}\right)$
$\chi_{1125}(37,\cdot)$	$-1$	$1$	$e\left(\frac{29}{100}\right)$	$e\left(\frac{29}{50}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{87}{100}\right)$	$e\left(\frac{1}{25}\right)$	$e\left(\frac{31}{100}\right)$	$e\left(\frac{47}{50}\right)$	$e\left(\frac{4}{25}\right)$	$e\left(\frac{17}{100}\right)$	$e\left(\frac{11}{50}\right)$
$\chi_{1125}(73,\cdot)$	$-1$	$1$	$e\left(\frac{91}{100}\right)$	$e\left(\frac{41}{50}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{73}{100}\right)$	$e\left(\frac{4}{25}\right)$	$e\left(\frac{49}{100}\right)$	$e\left(\frac{13}{50}\right)$	$e\left(\frac{16}{25}\right)$	$e\left(\frac{43}{100}\right)$	$e\left(\frac{19}{50}\right)$
$\chi_{1125}(127,\cdot)$	$-1$	$1$	$e\left(\frac{1}{100}\right)$	$e\left(\frac{1}{50}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{3}{100}\right)$	$e\left(\frac{19}{25}\right)$	$e\left(\frac{39}{100}\right)$	$e\left(\frac{43}{50}\right)$	$e\left(\frac{1}{25}\right)$	$e\left(\frac{73}{100}\right)$	$e\left(\frac{9}{50}\right)$
$\chi_{1125}(163,\cdot)$	$-1$	$1$	$e\left(\frac{19}{100}\right)$	$e\left(\frac{19}{50}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{57}{100}\right)$	$e\left(\frac{11}{25}\right)$	$e\left(\frac{41}{100}\right)$	$e\left(\frac{17}{50}\right)$	$e\left(\frac{19}{25}\right)$	$e\left(\frac{87}{100}\right)$	$e\left(\frac{21}{50}\right)$
$\chi_{1125}(172,\cdot)$	$-1$	$1$	$e\left(\frac{97}{100}\right)$	$e\left(\frac{47}{50}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{91}{100}\right)$	$e\left(\frac{18}{25}\right)$	$e\left(\frac{83}{100}\right)$	$e\left(\frac{21}{50}\right)$	$e\left(\frac{22}{25}\right)$	$e\left(\frac{81}{100}\right)$	$e\left(\frac{23}{50}\right)$
$\chi_{1125}(208,\cdot)$	$-1$	$1$	$e\left(\frac{43}{100}\right)$	$e\left(\frac{43}{50}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{29}{100}\right)$	$e\left(\frac{17}{25}\right)$	$e\left(\frac{77}{100}\right)$	$e\left(\frac{49}{50}\right)$	$e\left(\frac{18}{25}\right)$	$e\left(\frac{39}{100}\right)$	$e\left(\frac{37}{50}\right)$
$\chi_{1125}(217,\cdot)$	$-1$	$1$	$e\left(\frac{33}{100}\right)$	$e\left(\frac{33}{50}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{99}{100}\right)$	$e\left(\frac{2}{25}\right)$	$e\left(\frac{87}{100}\right)$	$e\left(\frac{19}{50}\right)$	$e\left(\frac{8}{25}\right)$	$e\left(\frac{9}{100}\right)$	$e\left(\frac{47}{50}\right)$
$\chi_{1125}(253,\cdot)$	$-1$	$1$	$e\left(\frac{7}{100}\right)$	$e\left(\frac{7}{50}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{21}{100}\right)$	$e\left(\frac{8}{25}\right)$	$e\left(\frac{73}{100}\right)$	$e\left(\frac{1}{50}\right)$	$e\left(\frac{7}{25}\right)$	$e\left(\frac{11}{100}\right)$	$e\left(\frac{13}{50}\right)$
$\chi_{1125}(262,\cdot)$	$-1$	$1$	$e\left(\frac{9}{100}\right)$	$e\left(\frac{9}{50}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{27}{100}\right)$	$e\left(\frac{21}{25}\right)$	$e\left(\frac{51}{100}\right)$	$e\left(\frac{37}{50}\right)$	$e\left(\frac{9}{25}\right)$	$e\left(\frac{57}{100}\right)$	$e\left(\frac{31}{50}\right)$
$\chi_{1125}(298,\cdot)$	$-1$	$1$	$e\left(\frac{11}{100}\right)$	$e\left(\frac{11}{50}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{33}{100}\right)$	$e\left(\frac{9}{25}\right)$	$e\left(\frac{29}{100}\right)$	$e\left(\frac{23}{50}\right)$	$e\left(\frac{11}{25}\right)$	$e\left(\frac{3}{100}\right)$	$e\left(\frac{49}{50}\right)$
$\chi_{1125}(352,\cdot)$	$-1$	$1$	$e\left(\frac{81}{100}\right)$	$e\left(\frac{31}{50}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{43}{100}\right)$	$e\left(\frac{14}{25}\right)$	$e\left(\frac{59}{100}\right)$	$e\left(\frac{33}{50}\right)$	$e\left(\frac{6}{25}\right)$	$e\left(\frac{13}{100}\right)$	$e\left(\frac{29}{50}\right)$
$\chi_{1125}(388,\cdot)$	$-1$	$1$	$e\left(\frac{39}{100}\right)$	$e\left(\frac{39}{50}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{17}{100}\right)$	$e\left(\frac{16}{25}\right)$	$e\left(\frac{21}{100}\right)$	$e\left(\frac{27}{50}\right)$	$e\left(\frac{14}{25}\right)$	$e\left(\frac{47}{100}\right)$	$e\left(\frac{1}{50}\right)$
$\chi_{1125}(397,\cdot)$	$-1$	$1$	$e\left(\frac{77}{100}\right)$	$e\left(\frac{27}{50}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{31}{100}\right)$	$e\left(\frac{13}{25}\right)$	$e\left(\frac{3}{100}\right)$	$e\left(\frac{11}{50}\right)$	$e\left(\frac{2}{25}\right)$	$e\left(\frac{21}{100}\right)$	$e\left(\frac{43}{50}\right)$
$\chi_{1125}(433,\cdot)$	$-1$	$1$	$e\left(\frac{63}{100}\right)$	$e\left(\frac{13}{50}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{89}{100}\right)$	$e\left(\frac{22}{25}\right)$	$e\left(\frac{57}{100}\right)$	$e\left(\frac{9}{50}\right)$	$e\left(\frac{13}{25}\right)$	$e\left(\frac{99}{100}\right)$	$e\left(\frac{17}{50}\right)$
$\chi_{1125}(442,\cdot)$	$-1$	$1$	$e\left(\frac{13}{100}\right)$	$e\left(\frac{13}{50}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{39}{100}\right)$	$e\left(\frac{22}{25}\right)$	$e\left(\frac{7}{100}\right)$	$e\left(\frac{9}{50}\right)$	$e\left(\frac{13}{25}\right)$	$e\left(\frac{49}{100}\right)$	$e\left(\frac{17}{50}\right)$
$\chi_{1125}(478,\cdot)$	$-1$	$1$	$e\left(\frac{27}{100}\right)$	$e\left(\frac{27}{50}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{81}{100}\right)$	$e\left(\frac{13}{25}\right)$	$e\left(\frac{53}{100}\right)$	$e\left(\frac{11}{50}\right)$	$e\left(\frac{2}{25}\right)$	$e\left(\frac{71}{100}\right)$	$e\left(\frac{43}{50}\right)$
$\chi_{1125}(487,\cdot)$	$-1$	$1$	$e\left(\frac{89}{100}\right)$	$e\left(\frac{39}{50}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{67}{100}\right)$	$e\left(\frac{16}{25}\right)$	$e\left(\frac{71}{100}\right)$	$e\left(\frac{27}{50}\right)$	$e\left(\frac{14}{25}\right)$	$e\left(\frac{97}{100}\right)$	$e\left(\frac{1}{50}\right)$
$\chi_{1125}(523,\cdot)$	$-1$	$1$	$e\left(\frac{31}{100}\right)$	$e\left(\frac{31}{50}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{93}{100}\right)$	$e\left(\frac{14}{25}\right)$	$e\left(\frac{9}{100}\right)$	$e\left(\frac{33}{50}\right)$	$e\left(\frac{6}{25}\right)$	$e\left(\frac{63}{100}\right)$	$e\left(\frac{29}{50}\right)$
$\chi_{1125}(577,\cdot)$	$-1$	$1$	$e\left(\frac{61}{100}\right)$	$e\left(\frac{11}{50}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{83}{100}\right)$	$e\left(\frac{9}{25}\right)$	$e\left(\frac{79}{100}\right)$	$e\left(\frac{23}{50}\right)$	$e\left(\frac{11}{25}\right)$	$e\left(\frac{53}{100}\right)$	$e\left(\frac{49}{50}\right)$
$\chi_{1125}(613,\cdot)$	$-1$	$1$	$e\left(\frac{59}{100}\right)$	$e\left(\frac{9}{50}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{77}{100}\right)$	$e\left(\frac{21}{25}\right)$	$e\left(\frac{1}{100}\right)$	$e\left(\frac{37}{50}\right)$	$e\left(\frac{9}{25}\right)$	$e\left(\frac{7}{100}\right)$	$e\left(\frac{31}{50}\right)$
$\chi_{1125}(622,\cdot)$	$-1$	$1$	$e\left(\frac{57}{100}\right)$	$e\left(\frac{7}{50}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{71}{100}\right)$	$e\left(\frac{8}{25}\right)$	$e\left(\frac{23}{100}\right)$	$e\left(\frac{1}{50}\right)$	$e\left(\frac{7}{25}\right)$	$e\left(\frac{61}{100}\right)$	$e\left(\frac{13}{50}\right)$
$\chi_{1125}(658,\cdot)$	$-1$	$1$	$e\left(\frac{83}{100}\right)$	$e\left(\frac{33}{50}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{49}{100}\right)$	$e\left(\frac{2}{25}\right)$	$e\left(\frac{37}{100}\right)$	$e\left(\frac{19}{50}\right)$	$e\left(\frac{8}{25}\right)$	$e\left(\frac{59}{100}\right)$	$e\left(\frac{47}{50}\right)$
$\chi_{1125}(667,\cdot)$	$-1$	$1$	$e\left(\frac{93}{100}\right)$	$e\left(\frac{43}{50}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{79}{100}\right)$	$e\left(\frac{17}{25}\right)$	$e\left(\frac{27}{100}\right)$	$e\left(\frac{49}{50}\right)$	$e\left(\frac{18}{25}\right)$	$e\left(\frac{89}{100}\right)$	$e\left(\frac{37}{50}\right)$
$\chi_{1125}(703,\cdot)$	$-1$	$1$	$e\left(\frac{47}{100}\right)$	$e\left(\frac{47}{50}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{41}{100}\right)$	$e\left(\frac{18}{25}\right)$	$e\left(\frac{33}{100}\right)$	$e\left(\frac{21}{50}\right)$	$e\left(\frac{22}{25}\right)$	$e\left(\frac{31}{100}\right)$	$e\left(\frac{23}{50}\right)$
$\chi_{1125}(712,\cdot)$	$-1$	$1$	$e\left(\frac{69}{100}\right)$	$e\left(\frac{19}{50}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{7}{100}\right)$	$e\left(\frac{11}{25}\right)$	$e\left(\frac{91}{100}\right)$	$e\left(\frac{17}{50}\right)$	$e\left(\frac{19}{25}\right)$	$e\left(\frac{37}{100}\right)$	$e\left(\frac{21}{50}\right)$
$\chi_{1125}(748,\cdot)$	$-1$	$1$	$e\left(\frac{51}{100}\right)$	$e\left(\frac{1}{50}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{53}{100}\right)$	$e\left(\frac{19}{25}\right)$	$e\left(\frac{89}{100}\right)$	$e\left(\frac{43}{50}\right)$	$e\left(\frac{1}{25}\right)$	$e\left(\frac{23}{100}\right)$	$e\left(\frac{9}{50}\right)$
$\chi_{1125}(802,\cdot)$	$-1$	$1$	$e\left(\frac{41}{100}\right)$	$e\left(\frac{41}{50}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{23}{100}\right)$	$e\left(\frac{4}{25}\right)$	$e\left(\frac{99}{100}\right)$	$e\left(\frac{13}{50}\right)$	$e\left(\frac{16}{25}\right)$	$e\left(\frac{93}{100}\right)$	$e\left(\frac{19}{50}\right)$
$\chi_{1125}(838,\cdot)$	$-1$	$1$	$e\left(\frac{79}{100}\right)$	$e\left(\frac{29}{50}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{37}{100}\right)$	$e\left(\frac{1}{25}\right)$	$e\left(\frac{81}{100}\right)$	$e\left(\frac{47}{50}\right)$	$e\left(\frac{4}{25}\right)$	$e\left(\frac{67}{100}\right)$	$e\left(\frac{11}{50}\right)$
$\chi_{1125}(847,\cdot)$	$-1$	$1$	$e\left(\frac{37}{100}\right)$	$e\left(\frac{37}{50}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{11}{100}\right)$	$e\left(\frac{3}{25}\right)$	$e\left(\frac{43}{100}\right)$	$e\left(\frac{41}{50}\right)$	$e\left(\frac{12}{25}\right)$	$e\left(\frac{1}{100}\right)$	$e\left(\frac{33}{50}\right)$
$\chi_{1125}(883,\cdot)$	$-1$	$1$	$e\left(\frac{3}{100}\right)$	$e\left(\frac{3}{50}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{9}{100}\right)$	$e\left(\frac{7}{25}\right)$	$e\left(\frac{17}{100}\right)$	$e\left(\frac{29}{50}\right)$	$e\left(\frac{3}{25}\right)$	$e\left(\frac{19}{100}\right)$	$e\left(\frac{27}{50}\right)$