Dirichlet character orbit 132300.bbh

• Label: 132300.bbh
• Modulus: $132300$
• Conductor: $33075$
• Order: $630$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$132300$
Conductor:	$33075$
Order:	$630$
Real:	no
Primitive:	no, induced from 33075.ny
Minimal:	yes
Parity:	even

Related number fields

Field of values:	$\Q(\zeta_{315})$
Fixed field:	Number field defined by a degree 630 polynomial (not computed)

First 31 of 144 characters in Galois orbit

Character	$-1$	$1$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{132300}(41,\cdot)$	$1$	$1$	$e\left(\frac{481}{630}\right)$	$e\left(\frac{89}{630}\right)$	$e\left(\frac{73}{105}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{101}{630}\right)$	$e\left(\frac{487}{630}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{94}{105}\right)$	$e\left(\frac{67}{315}\right)$	$e\left(\frac{58}{63}\right)$
$\chi_{132300}(461,\cdot)$	$1$	$1$	$e\left(\frac{419}{630}\right)$	$e\left(\frac{181}{630}\right)$	$e\left(\frac{47}{105}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{439}{630}\right)$	$e\left(\frac{233}{630}\right)$	$e\left(\frac{1}{90}\right)$	$e\left(\frac{26}{105}\right)$	$e\left(\frac{23}{315}\right)$	$e\left(\frac{50}{63}\right)$
$\chi_{132300}(1721,\cdot)$	$1$	$1$	$e\left(\frac{233}{630}\right)$	$e\left(\frac{457}{630}\right)$	$e\left(\frac{74}{105}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{193}{630}\right)$	$e\left(\frac{101}{630}\right)$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{32}{105}\right)$	$e\left(\frac{206}{315}\right)$	$e\left(\frac{26}{63}\right)$
$\chi_{132300}(2561,\cdot)$	$1$	$1$	$e\left(\frac{109}{630}\right)$	$e\left(\frac{11}{630}\right)$	$e\left(\frac{22}{105}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{239}{630}\right)$	$e\left(\frac{223}{630}\right)$	$e\left(\frac{11}{90}\right)$	$e\left(\frac{1}{105}\right)$	$e\left(\frac{118}{315}\right)$	$e\left(\frac{10}{63}\right)$
$\chi_{132300}(2981,\cdot)$	$1$	$1$	$e\left(\frac{47}{630}\right)$	$e\left(\frac{103}{630}\right)$	$e\left(\frac{101}{105}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{577}{630}\right)$	$e\left(\frac{599}{630}\right)$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{38}{105}\right)$	$e\left(\frac{74}{315}\right)$	$e\left(\frac{2}{63}\right)$
$\chi_{132300}(4241,\cdot)$	$1$	$1$	$e\left(\frac{491}{630}\right)$	$e\left(\frac{379}{630}\right)$	$e\left(\frac{23}{105}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{331}{630}\right)$	$e\left(\frac{467}{630}\right)$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{44}{105}\right)$	$e\left(\frac{257}{315}\right)$	$e\left(\frac{41}{63}\right)$
$\chi_{132300}(5081,\cdot)$	$1$	$1$	$e\left(\frac{367}{630}\right)$	$e\left(\frac{563}{630}\right)$	$e\left(\frac{76}{105}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{377}{630}\right)$	$e\left(\frac{589}{630}\right)$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{13}{105}\right)$	$e\left(\frac{169}{315}\right)$	$e\left(\frac{25}{63}\right)$
$\chi_{132300}(6341,\cdot)$	$1$	$1$	$e\left(\frac{181}{630}\right)$	$e\left(\frac{209}{630}\right)$	$e\left(\frac{103}{105}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{131}{630}\right)$	$e\left(\frac{457}{630}\right)$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{19}{105}\right)$	$e\left(\frac{37}{315}\right)$	$e\left(\frac{1}{63}\right)$
$\chi_{132300}(8021,\cdot)$	$1$	$1$	$e\left(\frac{563}{630}\right)$	$e\left(\frac{577}{630}\right)$	$e\left(\frac{104}{105}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{223}{630}\right)$	$e\left(\frac{71}{630}\right)$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{62}{105}\right)$	$e\left(\frac{176}{315}\right)$	$e\left(\frac{32}{63}\right)$
$\chi_{132300}(8861,\cdot)$	$1$	$1$	$e\left(\frac{439}{630}\right)$	$e\left(\frac{131}{630}\right)$	$e\left(\frac{52}{105}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{269}{630}\right)$	$e\left(\frac{193}{630}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{31}{105}\right)$	$e\left(\frac{88}{315}\right)$	$e\left(\frac{16}{63}\right)$
$\chi_{132300}(9281,\cdot)$	$1$	$1$	$e\left(\frac{377}{630}\right)$	$e\left(\frac{223}{630}\right)$	$e\left(\frac{26}{105}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{607}{630}\right)$	$e\left(\frac{569}{630}\right)$	$e\left(\frac{43}{90}\right)$	$e\left(\frac{68}{105}\right)$	$e\left(\frac{44}{315}\right)$	$e\left(\frac{8}{63}\right)$
$\chi_{132300}(10121,\cdot)$	$1$	$1$	$e\left(\frac{253}{630}\right)$	$e\left(\frac{407}{630}\right)$	$e\left(\frac{79}{105}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{23}{630}\right)$	$e\left(\frac{61}{630}\right)$	$e\left(\frac{47}{90}\right)$	$e\left(\frac{37}{105}\right)$	$e\left(\frac{271}{315}\right)$	$e\left(\frac{55}{63}\right)$
$\chi_{132300}(10541,\cdot)$	$1$	$1$	$e\left(\frac{191}{630}\right)$	$e\left(\frac{499}{630}\right)$	$e\left(\frac{53}{105}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{361}{630}\right)$	$e\left(\frac{437}{630}\right)$	$e\left(\frac{49}{90}\right)$	$e\left(\frac{74}{105}\right)$	$e\left(\frac{227}{315}\right)$	$e\left(\frac{47}{63}\right)$
$\chi_{132300}(11381,\cdot)$	$1$	$1$	$e\left(\frac{67}{630}\right)$	$e\left(\frac{53}{630}\right)$	$e\left(\frac{1}{105}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{407}{630}\right)$	$e\left(\frac{559}{630}\right)$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{43}{105}\right)$	$e\left(\frac{139}{315}\right)$	$e\left(\frac{31}{63}\right)$
$\chi_{132300}(13061,\cdot)$	$1$	$1$	$e\left(\frac{449}{630}\right)$	$e\left(\frac{421}{630}\right)$	$e\left(\frac{2}{105}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{499}{630}\right)$	$e\left(\frac{173}{630}\right)$	$e\left(\frac{61}{90}\right)$	$e\left(\frac{86}{105}\right)$	$e\left(\frac{278}{315}\right)$	$e\left(\frac{62}{63}\right)$
$\chi_{132300}(14321,\cdot)$	$1$	$1$	$e\left(\frac{263}{630}\right)$	$e\left(\frac{67}{630}\right)$	$e\left(\frac{29}{105}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{253}{630}\right)$	$e\left(\frac{41}{630}\right)$	$e\left(\frac{67}{90}\right)$	$e\left(\frac{92}{105}\right)$	$e\left(\frac{146}{315}\right)$	$e\left(\frac{38}{63}\right)$
$\chi_{132300}(15161,\cdot)$	$1$	$1$	$e\left(\frac{139}{630}\right)$	$e\left(\frac{251}{630}\right)$	$e\left(\frac{82}{105}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{299}{630}\right)$	$e\left(\frac{163}{630}\right)$	$e\left(\frac{71}{90}\right)$	$e\left(\frac{61}{105}\right)$	$e\left(\frac{58}{315}\right)$	$e\left(\frac{22}{63}\right)$
$\chi_{132300}(16421,\cdot)$	$1$	$1$	$e\left(\frac{583}{630}\right)$	$e\left(\frac{527}{630}\right)$	$e\left(\frac{4}{105}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{53}{630}\right)$	$e\left(\frac{31}{630}\right)$	$e\left(\frac{77}{90}\right)$	$e\left(\frac{67}{105}\right)$	$e\left(\frac{241}{315}\right)$	$e\left(\frac{61}{63}\right)$
$\chi_{132300}(16841,\cdot)$	$1$	$1$	$e\left(\frac{521}{630}\right)$	$e\left(\frac{619}{630}\right)$	$e\left(\frac{83}{105}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{391}{630}\right)$	$e\left(\frac{407}{630}\right)$	$e\left(\frac{79}{90}\right)$	$e\left(\frac{104}{105}\right)$	$e\left(\frac{197}{315}\right)$	$e\left(\frac{53}{63}\right)$
$\chi_{132300}(17681,\cdot)$	$1$	$1$	$e\left(\frac{397}{630}\right)$	$e\left(\frac{173}{630}\right)$	$e\left(\frac{31}{105}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{437}{630}\right)$	$e\left(\frac{529}{630}\right)$	$e\left(\frac{83}{90}\right)$	$e\left(\frac{73}{105}\right)$	$e\left(\frac{109}{315}\right)$	$e\left(\frac{37}{63}\right)$
$\chi_{132300}(18941,\cdot)$	$1$	$1$	$e\left(\frac{211}{630}\right)$	$e\left(\frac{449}{630}\right)$	$e\left(\frac{58}{105}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{191}{630}\right)$	$e\left(\frac{397}{630}\right)$	$e\left(\frac{89}{90}\right)$	$e\left(\frac{79}{105}\right)$	$e\left(\frac{292}{315}\right)$	$e\left(\frac{13}{63}\right)$
$\chi_{132300}(19361,\cdot)$	$1$	$1$	$e\left(\frac{149}{630}\right)$	$e\left(\frac{541}{630}\right)$	$e\left(\frac{32}{105}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{529}{630}\right)$	$e\left(\frac{143}{630}\right)$	$e\left(\frac{1}{90}\right)$	$e\left(\frac{11}{105}\right)$	$e\left(\frac{248}{315}\right)$	$e\left(\frac{5}{63}\right)$
$\chi_{132300}(20621,\cdot)$	$1$	$1$	$e\left(\frac{593}{630}\right)$	$e\left(\frac{187}{630}\right)$	$e\left(\frac{59}{105}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{283}{630}\right)$	$e\left(\frac{11}{630}\right)$	$e\left(\frac{7}{90}\right)$	$e\left(\frac{17}{105}\right)$	$e\left(\frac{116}{315}\right)$	$e\left(\frac{44}{63}\right)$
$\chi_{132300}(21881,\cdot)$	$1$	$1$	$e\left(\frac{407}{630}\right)$	$e\left(\frac{463}{630}\right)$	$e\left(\frac{86}{105}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{37}{630}\right)$	$e\left(\frac{509}{630}\right)$	$e\left(\frac{13}{90}\right)$	$e\left(\frac{23}{105}\right)$	$e\left(\frac{299}{315}\right)$	$e\left(\frac{20}{63}\right)$
$\chi_{132300}(22721,\cdot)$	$1$	$1$	$e\left(\frac{283}{630}\right)$	$e\left(\frac{17}{630}\right)$	$e\left(\frac{34}{105}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{83}{630}\right)$	$e\left(\frac{1}{630}\right)$	$e\left(\frac{17}{90}\right)$	$e\left(\frac{97}{105}\right)$	$e\left(\frac{211}{315}\right)$	$e\left(\frac{4}{63}\right)$
$\chi_{132300}(23141,\cdot)$	$1$	$1$	$e\left(\frac{221}{630}\right)$	$e\left(\frac{109}{630}\right)$	$e\left(\frac{8}{105}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{421}{630}\right)$	$e\left(\frac{377}{630}\right)$	$e\left(\frac{19}{90}\right)$	$e\left(\frac{29}{105}\right)$	$e\left(\frac{167}{315}\right)$	$e\left(\frac{59}{63}\right)$
$\chi_{132300}(23981,\cdot)$	$1$	$1$	$e\left(\frac{97}{630}\right)$	$e\left(\frac{293}{630}\right)$	$e\left(\frac{61}{105}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{467}{630}\right)$	$e\left(\frac{499}{630}\right)$	$e\left(\frac{23}{90}\right)$	$e\left(\frac{103}{105}\right)$	$e\left(\frac{79}{315}\right)$	$e\left(\frac{43}{63}\right)$
$\chi_{132300}(25241,\cdot)$	$1$	$1$	$e\left(\frac{541}{630}\right)$	$e\left(\frac{569}{630}\right)$	$e\left(\frac{88}{105}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{221}{630}\right)$	$e\left(\frac{367}{630}\right)$	$e\left(\frac{29}{90}\right)$	$e\left(\frac{4}{105}\right)$	$e\left(\frac{262}{315}\right)$	$e\left(\frac{19}{63}\right)$
$\chi_{132300}(25661,\cdot)$	$1$	$1$	$e\left(\frac{479}{630}\right)$	$e\left(\frac{31}{630}\right)$	$e\left(\frac{62}{105}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{559}{630}\right)$	$e\left(\frac{113}{630}\right)$	$e\left(\frac{31}{90}\right)$	$e\left(\frac{41}{105}\right)$	$e\left(\frac{218}{315}\right)$	$e\left(\frac{11}{63}\right)$
$\chi_{132300}(26921,\cdot)$	$1$	$1$	$e\left(\frac{293}{630}\right)$	$e\left(\frac{307}{630}\right)$	$e\left(\frac{89}{105}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{313}{630}\right)$	$e\left(\frac{611}{630}\right)$	$e\left(\frac{37}{90}\right)$	$e\left(\frac{47}{105}\right)$	$e\left(\frac{86}{315}\right)$	$e\left(\frac{50}{63}\right)$
$\chi_{132300}(27761,\cdot)$	$1$	$1$	$e\left(\frac{169}{630}\right)$	$e\left(\frac{491}{630}\right)$	$e\left(\frac{37}{105}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{359}{630}\right)$	$e\left(\frac{103}{630}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{16}{105}\right)$	$e\left(\frac{313}{315}\right)$	$e\left(\frac{34}{63}\right)$