Dirichlet character orbit 46208.ez

• Label: 46208.ez
• Modulus: $46208$
• Conductor: $11552$
• Order: $1368$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$46208$
Conductor:	$11552$
Order:	$1368$
Real:	no
Primitive:	no, induced from 11552.dp
Minimal:	no
Parity:	odd

Related number fields

Field of values:	$\Q(\zeta_{1368})$
Fixed field:	Number field defined by a degree 1368 polynomial (not computed)

First 17 of 432 characters in Galois orbit

Character	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{46208}(47,\cdot)$	$-1$	$1$	$e\left(\frac{263}{1368}\right)$	$e\left(\frac{17}{1368}\right)$	$e\left(\frac{149}{228}\right)$	$e\left(\frac{263}{684}\right)$	$e\left(\frac{59}{456}\right)$	$e\left(\frac{871}{1368}\right)$	$e\left(\frac{35}{171}\right)$	$e\left(\frac{233}{342}\right)$	$e\left(\frac{1157}{1368}\right)$	$e\left(\frac{581}{684}\right)$
$\chi_{46208}(111,\cdot)$	$-1$	$1$	$e\left(\frac{1243}{1368}\right)$	$e\left(\frac{949}{1368}\right)$	$e\left(\frac{217}{228}\right)$	$e\left(\frac{559}{684}\right)$	$e\left(\frac{343}{456}\right)$	$e\left(\frac{179}{1368}\right)$	$e\left(\frac{103}{171}\right)$	$e\left(\frac{31}{342}\right)$	$e\left(\frac{1177}{1368}\right)$	$e\left(\frac{205}{684}\right)$
$\chi_{46208}(175,\cdot)$	$-1$	$1$	$e\left(\frac{239}{1368}\right)$	$e\left(\frac{1217}{1368}\right)$	$e\left(\frac{125}{228}\right)$	$e\left(\frac{239}{684}\right)$	$e\left(\frac{227}{456}\right)$	$e\left(\frac{391}{1368}\right)$	$e\left(\frac{11}{171}\right)$	$e\left(\frac{83}{342}\right)$	$e\left(\frac{989}{1368}\right)$	$e\left(\frac{593}{684}\right)$
$\chi_{46208}(207,\cdot)$	$-1$	$1$	$e\left(\frac{961}{1368}\right)$	$e\left(\frac{343}{1368}\right)$	$e\left(\frac{163}{228}\right)$	$e\left(\frac{277}{684}\right)$	$e\left(\frac{37}{456}\right)$	$e\left(\frac{353}{1368}\right)$	$e\left(\frac{163}{171}\right)$	$e\left(\frac{235}{342}\right)$	$e\left(\frac{571}{1368}\right)$	$e\left(\frac{175}{684}\right)$
$\chi_{46208}(271,\cdot)$	$-1$	$1$	$e\left(\frac{85}{1368}\right)$	$e\left(\frac{1051}{1368}\right)$	$e\left(\frac{199}{228}\right)$	$e\left(\frac{85}{684}\right)$	$e\left(\frac{241}{456}\right)$	$e\left(\frac{1301}{1368}\right)$	$e\left(\frac{142}{171}\right)$	$e\left(\frac{61}{342}\right)$	$e\left(\frac{1279}{1368}\right)$	$e\left(\frac{271}{684}\right)$
$\chi_{46208}(367,\cdot)$	$-1$	$1$	$e\left(\frac{35}{1368}\right)$	$e\left(\frac{1157}{1368}\right)$	$e\left(\frac{149}{228}\right)$	$e\left(\frac{35}{684}\right)$	$e\left(\frac{287}{456}\right)$	$e\left(\frac{1099}{1368}\right)$	$e\left(\frac{149}{171}\right)$	$e\left(\frac{5}{342}\right)$	$e\left(\frac{929}{1368}\right)$	$e\left(\frac{353}{684}\right)$
$\chi_{46208}(655,\cdot)$	$-1$	$1$	$e\left(\frac{965}{1368}\right)$	$e\left(\frac{827}{1368}\right)$	$e\left(\frac{167}{228}\right)$	$e\left(\frac{281}{684}\right)$	$e\left(\frac{161}{456}\right)$	$e\left(\frac{205}{1368}\right)$	$e\left(\frac{53}{171}\right)$	$e\left(\frac{89}{342}\right)$	$e\left(\frac{599}{1368}\right)$	$e\left(\frac{59}{684}\right)$
$\chi_{46208}(719,\cdot)$	$-1$	$1$	$e\left(\frac{505}{1368}\right)$	$e\left(\frac{1255}{1368}\right)$	$e\left(\frac{163}{228}\right)$	$e\left(\frac{505}{684}\right)$	$e\left(\frac{37}{456}\right)$	$e\left(\frac{809}{1368}\right)$	$e\left(\frac{49}{171}\right)$	$e\left(\frac{121}{342}\right)$	$e\left(\frac{115}{1368}\right)$	$e\left(\frac{403}{684}\right)$
$\chi_{46208}(783,\cdot)$	$-1$	$1$	$e\left(\frac{365}{1368}\right)$	$e\left(\frac{731}{1368}\right)$	$e\left(\frac{23}{228}\right)$	$e\left(\frac{365}{684}\right)$	$e\left(\frac{257}{456}\right)$	$e\left(\frac{517}{1368}\right)$	$e\left(\frac{137}{171}\right)$	$e\left(\frac{101}{342}\right)$	$e\left(\frac{503}{1368}\right)$	$e\left(\frac{359}{684}\right)$
$\chi_{46208}(815,\cdot)$	$-1$	$1$	$e\left(\frac{367}{1368}\right)$	$e\left(\frac{289}{1368}\right)$	$e\left(\frac{25}{228}\right)$	$e\left(\frac{367}{684}\right)$	$e\left(\frac{91}{456}\right)$	$e\left(\frac{1127}{1368}\right)$	$e\left(\frac{82}{171}\right)$	$e\left(\frac{199}{342}\right)$	$e\left(\frac{517}{1368}\right)$	$e\left(\frac{301}{684}\right)$
$\chi_{46208}(879,\cdot)$	$-1$	$1$	$e\left(\frac{1075}{1368}\right)$	$e\left(\frac{1141}{1368}\right)$	$e\left(\frac{49}{228}\right)$	$e\left(\frac{391}{684}\right)$	$e\left(\frac{151}{456}\right)$	$e\left(\frac{923}{1368}\right)$	$e\left(\frac{106}{171}\right)$	$e\left(\frac{7}{342}\right)$	$e\left(\frac{1}{1368}\right)$	$e\left(\frac{289}{684}\right)$
$\chi_{46208}(975,\cdot)$	$-1$	$1$	$e\left(\frac{233}{1368}\right)$	$e\left(\frac{1175}{1368}\right)$	$e\left(\frac{119}{228}\right)$	$e\left(\frac{233}{684}\right)$	$e\left(\frac{269}{456}\right)$	$e\left(\frac{1297}{1368}\right)$	$e\left(\frac{5}{171}\right)$	$e\left(\frac{131}{342}\right)$	$e\left(\frac{947}{1368}\right)$	$e\left(\frac{83}{684}\right)$
$\chi_{46208}(1263,\cdot)$	$-1$	$1$	$e\left(\frac{299}{1368}\right)$	$e\left(\frac{269}{1368}\right)$	$e\left(\frac{185}{228}\right)$	$e\left(\frac{299}{684}\right)$	$e\left(\frac{263}{456}\right)$	$e\left(\frac{907}{1368}\right)$	$e\left(\frac{71}{171}\right)$	$e\left(\frac{287}{342}\right)$	$e\left(\frac{41}{1368}\right)$	$e\left(\frac{221}{684}\right)$
$\chi_{46208}(1327,\cdot)$	$-1$	$1$	$e\left(\frac{1135}{1368}\right)$	$e\left(\frac{193}{1368}\right)$	$e\left(\frac{109}{228}\right)$	$e\left(\frac{451}{684}\right)$	$e\left(\frac{187}{456}\right)$	$e\left(\frac{71}{1368}\right)$	$e\left(\frac{166}{171}\right)$	$e\left(\frac{211}{342}\right)$	$e\left(\frac{421}{1368}\right)$	$e\left(\frac{601}{684}\right)$
$\chi_{46208}(1391,\cdot)$	$-1$	$1$	$e\left(\frac{491}{1368}\right)$	$e\left(\frac{245}{1368}\right)$	$e\left(\frac{149}{228}\right)$	$e\left(\frac{491}{684}\right)$	$e\left(\frac{287}{456}\right)$	$e\left(\frac{643}{1368}\right)$	$e\left(\frac{92}{171}\right)$	$e\left(\frac{119}{342}\right)$	$e\left(\frac{17}{1368}\right)$	$e\left(\frac{125}{684}\right)$
$\chi_{46208}(1423,\cdot)$	$-1$	$1$	$e\left(\frac{1141}{1368}\right)$	$e\left(\frac{235}{1368}\right)$	$e\left(\frac{115}{228}\right)$	$e\left(\frac{457}{684}\right)$	$e\left(\frac{145}{456}\right)$	$e\left(\frac{533}{1368}\right)$	$e\left(\frac{1}{171}\right)$	$e\left(\frac{163}{342}\right)$	$e\left(\frac{463}{1368}\right)$	$e\left(\frac{427}{684}\right)$
$\chi_{46208}(1487,\cdot)$	$-1$	$1$	$e\left(\frac{697}{1368}\right)$	$e\left(\frac{1231}{1368}\right)$	$e\left(\frac{127}{228}\right)$	$e\left(\frac{13}{684}\right)$	$e\left(\frac{61}{456}\right)$	$e\left(\frac{545}{1368}\right)$	$e\left(\frac{70}{171}\right)$	$e\left(\frac{295}{342}\right)$	$e\left(\frac{91}{1368}\right)$	$e\left(\frac{307}{684}\right)$