Dirichlet character orbit 46208.fa

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

Basic properties

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

Related number fields

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

First 13 of 432 characters in Galois orbit

Character	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{46208}(15,\cdot)$	$1$	$1$	$e\left(\frac{905}{1368}\right)$	$e\left(\frac{1091}{1368}\right)$	$e\left(\frac{107}{228}\right)$	$e\left(\frac{221}{684}\right)$	$e\left(\frac{353}{456}\right)$	$e\left(\frac{1057}{1368}\right)$	$e\left(\frac{157}{342}\right)$	$e\left(\frac{227}{342}\right)$	$e\left(\frac{179}{1368}\right)$	$e\left(\frac{431}{684}\right)$
$\chi_{46208}(79,\cdot)$	$1$	$1$	$e\left(\frac{469}{1368}\right)$	$e\left(\frac{319}{1368}\right)$	$e\left(\frac{127}{228}\right)$	$e\left(\frac{469}{684}\right)$	$e\left(\frac{61}{456}\right)$	$e\left(\frac{773}{1368}\right)$	$e\left(\frac{197}{342}\right)$	$e\left(\frac{67}{342}\right)$	$e\left(\frac{1231}{1368}\right)$	$e\left(\frac{79}{684}\right)$
$\chi_{46208}(143,\cdot)$	$1$	$1$	$e\left(\frac{65}{1368}\right)$	$e\left(\frac{683}{1368}\right)$	$e\left(\frac{179}{228}\right)$	$e\left(\frac{65}{684}\right)$	$e\left(\frac{305}{456}\right)$	$e\left(\frac{673}{1368}\right)$	$e\left(\frac{187}{342}\right)$	$e\left(\frac{107}{342}\right)$	$e\left(\frac{1139}{1368}\right)$	$e\left(\frac{167}{684}\right)$
$\chi_{46208}(431,\cdot)$	$1$	$1$	$e\left(\frac{395}{1368}\right)$	$e\left(\frac{257}{1368}\right)$	$e\left(\frac{53}{228}\right)$	$e\left(\frac{395}{684}\right)$	$e\left(\frac{275}{456}\right)$	$e\left(\frac{91}{1368}\right)$	$e\left(\frac{163}{342}\right)$	$e\left(\frac{203}{342}\right)$	$e\left(\frac{713}{1368}\right)$	$e\left(\frac{173}{684}\right)$
$\chi_{46208}(527,\cdot)$	$1$	$1$	$e\left(\frac{1201}{1368}\right)$	$e\left(\frac{1339}{1368}\right)$	$e\left(\frac{175}{228}\right)$	$e\left(\frac{517}{684}\right)$	$e\left(\frac{409}{456}\right)$	$e\left(\frac{1049}{1368}\right)$	$e\left(\frac{293}{342}\right)$	$e\left(\frac{25}{342}\right)$	$e\left(\frac{883}{1368}\right)$	$e\left(\frac{55}{684}\right)$
$\chi_{46208}(591,\cdot)$	$1$	$1$	$e\left(\frac{565}{1368}\right)$	$e\left(\frac{991}{1368}\right)$	$e\left(\frac{223}{228}\right)$	$e\left(\frac{565}{684}\right)$	$e\left(\frac{301}{456}\right)$	$e\left(\frac{1325}{1368}\right)$	$e\left(\frac{47}{342}\right)$	$e\left(\frac{325}{342}\right)$	$e\left(\frac{535}{1368}\right)$	$e\left(\frac{31}{684}\right)$
$\chi_{46208}(687,\cdot)$	$1$	$1$	$e\left(\frac{523}{1368}\right)$	$e\left(\frac{697}{1368}\right)$	$e\left(\frac{181}{228}\right)$	$e\left(\frac{523}{684}\right)$	$e\left(\frac{139}{456}\right)$	$e\left(\frac{827}{1368}\right)$	$e\left(\frac{305}{342}\right)$	$e\left(\frac{319}{342}\right)$	$e\left(\frac{241}{1368}\right)$	$e\left(\frac{565}{684}\right)$
$\chi_{46208}(751,\cdot)$	$1$	$1$	$e\left(\frac{47}{1368}\right)$	$e\left(\frac{557}{1368}\right)$	$e\left(\frac{161}{228}\right)$	$e\left(\frac{47}{684}\right)$	$e\left(\frac{431}{456}\right)$	$e\left(\frac{655}{1368}\right)$	$e\left(\frac{151}{342}\right)$	$e\left(\frac{251}{342}\right)$	$e\left(\frac{1013}{1368}\right)$	$e\left(\frac{5}{684}\right)$
$\chi_{46208}(1039,\cdot)$	$1$	$1$	$e\left(\frac{881}{1368}\right)$	$e\left(\frac{923}{1368}\right)$	$e\left(\frac{83}{228}\right)$	$e\left(\frac{197}{684}\right)$	$e\left(\frac{65}{456}\right)$	$e\left(\frac{577}{1368}\right)$	$e\left(\frac{109}{342}\right)$	$e\left(\frac{77}{342}\right)$	$e\left(\frac{11}{1368}\right)$	$e\left(\frac{443}{684}\right)$
$\chi_{46208}(1135,\cdot)$	$1$	$1$	$e\left(\frac{895}{1368}\right)$	$e\left(\frac{565}{1368}\right)$	$e\left(\frac{97}{228}\right)$	$e\left(\frac{211}{684}\right)$	$e\left(\frac{271}{456}\right)$	$e\left(\frac{743}{1368}\right)$	$e\left(\frac{23}{342}\right)$	$e\left(\frac{79}{342}\right)$	$e\left(\frac{109}{1368}\right)$	$e\left(\frac{37}{684}\right)$
$\chi_{46208}(1231,\cdot)$	$1$	$1$	$e\left(\frac{653}{1368}\right)$	$e\left(\frac{695}{1368}\right)$	$e\left(\frac{83}{228}\right)$	$e\left(\frac{653}{684}\right)$	$e\left(\frac{293}{456}\right)$	$e\left(\frac{805}{1368}\right)$	$e\left(\frac{337}{342}\right)$	$e\left(\frac{191}{342}\right)$	$e\left(\frac{1151}{1368}\right)$	$e\left(\frac{215}{684}\right)$
$\chi_{46208}(1295,\cdot)$	$1$	$1$	$e\left(\frac{577}{1368}\right)$	$e\left(\frac{1075}{1368}\right)$	$e\left(\frac{7}{228}\right)$	$e\left(\frac{577}{684}\right)$	$e\left(\frac{217}{456}\right)$	$e\left(\frac{881}{1368}\right)$	$e\left(\frac{71}{342}\right)$	$e\left(\frac{229}{342}\right)$	$e\left(\frac{619}{1368}\right)$	$e\left(\frac{367}{684}\right)$
$\chi_{46208}(1359,\cdot)$	$1$	$1$	$e\left(\frac{29}{1368}\right)$	$e\left(\frac{431}{1368}\right)$	$e\left(\frac{143}{228}\right)$	$e\left(\frac{29}{684}\right)$	$e\left(\frac{101}{456}\right)$	$e\left(\frac{637}{1368}\right)$	$e\left(\frac{115}{342}\right)$	$e\left(\frac{53}{342}\right)$	$e\left(\frac{887}{1368}\right)$	$e\left(\frac{527}{684}\right)$