Dirichlet character orbit 4655.gd

• Label: 4655.gd
• Modulus: $4655$
• Conductor: $931$
• Order: $126$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4655$
Conductor:	$931$
Order:	$126$
Real:	no
Primitive:	no, induced from 931.cd
Minimal:	yes
Parity:	even

Related number fields

Field of values:	$\Q(\zeta_{63})$
Fixed field:	Number field defined by a degree 126 polynomial (not computed)

First 31 of 36 characters in Galois orbit

Character	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$11$	$12$	$13$	$16$
$\chi_{4655}(241,\cdot)$	$1$	$1$	$e\left(\frac{59}{126}\right)$	$e\left(\frac{22}{63}\right)$	$e\left(\frac{59}{63}\right)$	$e\left(\frac{103}{126}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{44}{63}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{47}{63}\right)$	$e\left(\frac{55}{63}\right)$
$\chi_{4655}(306,\cdot)$	$1$	$1$	$e\left(\frac{109}{126}\right)$	$e\left(\frac{62}{63}\right)$	$e\left(\frac{46}{63}\right)$	$e\left(\frac{107}{126}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{61}{63}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{58}{63}\right)$	$e\left(\frac{29}{63}\right)$
$\chi_{4655}(516,\cdot)$	$1$	$1$	$e\left(\frac{31}{126}\right)$	$e\left(\frac{50}{63}\right)$	$e\left(\frac{31}{63}\right)$	$e\left(\frac{5}{126}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{37}{63}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{61}{63}\right)$	$e\left(\frac{62}{63}\right)$
$\chi_{4655}(661,\cdot)$	$1$	$1$	$e\left(\frac{65}{126}\right)$	$e\left(\frac{52}{63}\right)$	$e\left(\frac{2}{63}\right)$	$e\left(\frac{43}{126}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{41}{63}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{8}{63}\right)$	$e\left(\frac{4}{63}\right)$
$\chi_{4655}(831,\cdot)$	$1$	$1$	$e\left(\frac{61}{126}\right)$	$e\left(\frac{11}{63}\right)$	$e\left(\frac{61}{63}\right)$	$e\left(\frac{83}{126}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{22}{63}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{55}{63}\right)$	$e\left(\frac{59}{63}\right)$
$\chi_{4655}(906,\cdot)$	$1$	$1$	$e\left(\frac{23}{126}\right)$	$e\left(\frac{31}{63}\right)$	$e\left(\frac{23}{63}\right)$	$e\left(\frac{85}{126}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{62}{63}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{29}{63}\right)$	$e\left(\frac{46}{63}\right)$
$\chi_{4655}(941,\cdot)$	$1$	$1$	$e\left(\frac{125}{126}\right)$	$e\left(\frac{37}{63}\right)$	$e\left(\frac{62}{63}\right)$	$e\left(\frac{73}{126}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{11}{63}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{59}{63}\right)$	$e\left(\frac{61}{63}\right)$
$\chi_{4655}(971,\cdot)$	$1$	$1$	$e\left(\frac{37}{126}\right)$	$e\left(\frac{17}{63}\right)$	$e\left(\frac{37}{63}\right)$	$e\left(\frac{71}{126}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{34}{63}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{22}{63}\right)$	$e\left(\frac{11}{63}\right)$
$\chi_{4655}(1181,\cdot)$	$1$	$1$	$e\left(\frac{85}{126}\right)$	$e\left(\frac{5}{63}\right)$	$e\left(\frac{22}{63}\right)$	$e\left(\frac{95}{126}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{10}{63}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{25}{63}\right)$	$e\left(\frac{44}{63}\right)$
$\chi_{4655}(1326,\cdot)$	$1$	$1$	$e\left(\frac{29}{126}\right)$	$e\left(\frac{61}{63}\right)$	$e\left(\frac{29}{63}\right)$	$e\left(\frac{25}{126}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{59}{63}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{53}{63}\right)$	$e\left(\frac{58}{63}\right)$
$\chi_{4655}(1496,\cdot)$	$1$	$1$	$e\left(\frac{115}{126}\right)$	$e\left(\frac{29}{63}\right)$	$e\left(\frac{52}{63}\right)$	$e\left(\frac{47}{126}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{58}{63}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{19}{63}\right)$	$e\left(\frac{41}{63}\right)$
$\chi_{4655}(1571,\cdot)$	$1$	$1$	$e\left(\frac{113}{126}\right)$	$e\left(\frac{40}{63}\right)$	$e\left(\frac{50}{63}\right)$	$e\left(\frac{67}{126}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{17}{63}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{11}{63}\right)$	$e\left(\frac{37}{63}\right)$
$\chi_{4655}(1606,\cdot)$	$1$	$1$	$e\left(\frac{89}{126}\right)$	$e\left(\frac{46}{63}\right)$	$e\left(\frac{26}{63}\right)$	$e\left(\frac{55}{126}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{29}{63}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{41}{63}\right)$	$e\left(\frac{52}{63}\right)$
$\chi_{4655}(1846,\cdot)$	$1$	$1$	$e\left(\frac{13}{126}\right)$	$e\left(\frac{23}{63}\right)$	$e\left(\frac{13}{63}\right)$	$e\left(\frac{59}{126}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{46}{63}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{52}{63}\right)$	$e\left(\frac{26}{63}\right)$
$\chi_{4655}(2161,\cdot)$	$1$	$1$	$e\left(\frac{43}{126}\right)$	$e\left(\frac{47}{63}\right)$	$e\left(\frac{43}{63}\right)$	$e\left(\frac{11}{126}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{31}{63}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{46}{63}\right)$	$e\left(\frac{23}{63}\right)$
$\chi_{4655}(2271,\cdot)$	$1$	$1$	$e\left(\frac{53}{126}\right)$	$e\left(\frac{55}{63}\right)$	$e\left(\frac{53}{63}\right)$	$e\left(\frac{37}{126}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{47}{63}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{23}{63}\right)$	$e\left(\frac{43}{63}\right)$
$\chi_{4655}(2301,\cdot)$	$1$	$1$	$e\left(\frac{19}{126}\right)$	$e\left(\frac{53}{63}\right)$	$e\left(\frac{19}{63}\right)$	$e\left(\frac{125}{126}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{43}{63}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{13}{63}\right)$	$e\left(\frac{38}{63}\right)$
$\chi_{4655}(2511,\cdot)$	$1$	$1$	$e\left(\frac{67}{126}\right)$	$e\left(\frac{41}{63}\right)$	$e\left(\frac{4}{63}\right)$	$e\left(\frac{23}{126}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{19}{63}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{16}{63}\right)$	$e\left(\frac{8}{63}\right)$
$\chi_{4655}(2656,\cdot)$	$1$	$1$	$e\left(\frac{83}{126}\right)$	$e\left(\frac{16}{63}\right)$	$e\left(\frac{20}{63}\right)$	$e\left(\frac{115}{126}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{32}{63}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{17}{63}\right)$	$e\left(\frac{40}{63}\right)$
$\chi_{4655}(2826,\cdot)$	$1$	$1$	$e\left(\frac{97}{126}\right)$	$e\left(\frac{2}{63}\right)$	$e\left(\frac{34}{63}\right)$	$e\left(\frac{101}{126}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{4}{63}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{10}{63}\right)$	$e\left(\frac{5}{63}\right)$
$\chi_{4655}(2901,\cdot)$	$1$	$1$	$e\left(\frac{41}{126}\right)$	$e\left(\frac{58}{63}\right)$	$e\left(\frac{41}{63}\right)$	$e\left(\frac{31}{126}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{53}{63}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{38}{63}\right)$	$e\left(\frac{19}{63}\right)$
$\chi_{4655}(2936,\cdot)$	$1$	$1$	$e\left(\frac{17}{126}\right)$	$e\left(\frac{1}{63}\right)$	$e\left(\frac{17}{63}\right)$	$e\left(\frac{19}{126}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{2}{63}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{5}{63}\right)$	$e\left(\frac{34}{63}\right)$
$\chi_{4655}(2966,\cdot)$	$1$	$1$	$e\left(\frac{73}{126}\right)$	$e\left(\frac{8}{63}\right)$	$e\left(\frac{10}{63}\right)$	$e\left(\frac{89}{126}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{16}{63}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{40}{63}\right)$	$e\left(\frac{20}{63}\right)$
$\chi_{4655}(3176,\cdot)$	$1$	$1$	$e\left(\frac{121}{126}\right)$	$e\left(\frac{59}{63}\right)$	$e\left(\frac{58}{63}\right)$	$e\left(\frac{113}{126}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{55}{63}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{43}{63}\right)$	$e\left(\frac{53}{63}\right)$
$\chi_{4655}(3321,\cdot)$	$1$	$1$	$e\left(\frac{47}{126}\right)$	$e\left(\frac{25}{63}\right)$	$e\left(\frac{47}{63}\right)$	$e\left(\frac{97}{126}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{50}{63}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{62}{63}\right)$	$e\left(\frac{31}{63}\right)$
$\chi_{4655}(3491,\cdot)$	$1$	$1$	$e\left(\frac{25}{126}\right)$	$e\left(\frac{20}{63}\right)$	$e\left(\frac{25}{63}\right)$	$e\left(\frac{65}{126}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{40}{63}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{37}{63}\right)$	$e\left(\frac{50}{63}\right)$
$\chi_{4655}(3566,\cdot)$	$1$	$1$	$e\left(\frac{5}{126}\right)$	$e\left(\frac{4}{63}\right)$	$e\left(\frac{5}{63}\right)$	$e\left(\frac{13}{126}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{8}{63}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{20}{63}\right)$	$e\left(\frac{10}{63}\right)$
$\chi_{4655}(3601,\cdot)$	$1$	$1$	$e\left(\frac{107}{126}\right)$	$e\left(\frac{10}{63}\right)$	$e\left(\frac{44}{63}\right)$	$e\left(\frac{1}{126}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{20}{63}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{50}{63}\right)$	$e\left(\frac{25}{63}\right)$
$\chi_{4655}(3631,\cdot)$	$1$	$1$	$e\left(\frac{1}{126}\right)$	$e\left(\frac{26}{63}\right)$	$e\left(\frac{1}{63}\right)$	$e\left(\frac{53}{126}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{52}{63}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{4}{63}\right)$	$e\left(\frac{2}{63}\right)$
$\chi_{4655}(3986,\cdot)$	$1$	$1$	$e\left(\frac{11}{126}\right)$	$e\left(\frac{34}{63}\right)$	$e\left(\frac{11}{63}\right)$	$e\left(\frac{79}{126}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{5}{63}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{44}{63}\right)$	$e\left(\frac{22}{63}\right)$
$\chi_{4655}(4156,\cdot)$	$1$	$1$	$e\left(\frac{79}{126}\right)$	$e\left(\frac{38}{63}\right)$	$e\left(\frac{16}{63}\right)$	$e\left(\frac{29}{126}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{13}{63}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{1}{63}\right)$	$e\left(\frac{32}{63}\right)$