Dirichlet character orbit 46208.fk

• Label: 46208.fk
• Modulus: $46208$
• Conductor: $46208$
• Order: $5472$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	$46208$
Conductor:	$46208$
Order:	$5472$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Related number fields

Field of values:	$\Q(\zeta_{5472})$
Fixed field:	Number field defined by a degree 5472 polynomial (not computed)

First 31 of 1728 characters in Galois orbit

Character	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{46208}(35,\cdot)$	$-1$	$1$	$e\left(\frac{4315}{5472}\right)$	$e\left(\frac{2617}{5472}\right)$	$e\left(\frac{439}{912}\right)$	$e\left(\frac{1579}{2736}\right)$	$e\left(\frac{1183}{1824}\right)$	$e\left(\frac{3479}{5472}\right)$	$e\left(\frac{365}{1368}\right)$	$e\left(\frac{79}{1368}\right)$	$e\left(\frac{1477}{5472}\right)$	$e\left(\frac{1063}{2736}\right)$
$\chi_{46208}(43,\cdot)$	$-1$	$1$	$e\left(\frac{1933}{5472}\right)$	$e\left(\frac{991}{5472}\right)$	$e\left(\frac{337}{912}\right)$	$e\left(\frac{1933}{2736}\right)$	$e\left(\frac{73}{1824}\right)$	$e\left(\frac{3377}{5472}\right)$	$e\left(\frac{731}{1368}\right)$	$e\left(\frac{1009}{1368}\right)$	$e\left(\frac{3955}{5472}\right)$	$e\left(\frac{1057}{2736}\right)$
$\chi_{46208}(123,\cdot)$	$-1$	$1$	$e\left(\frac{1745}{5472}\right)$	$e\left(\frac{4235}{5472}\right)$	$e\left(\frac{149}{912}\right)$	$e\left(\frac{1745}{2736}\right)$	$e\left(\frac{1085}{1824}\right)$	$e\left(\frac{3493}{5472}\right)$	$e\left(\frac{127}{1368}\right)$	$e\left(\frac{5}{1368}\right)$	$e\left(\frac{2639}{5472}\right)$	$e\left(\frac{2405}{2736}\right)$
$\chi_{46208}(131,\cdot)$	$-1$	$1$	$e\left(\frac{1747}{5472}\right)$	$e\left(\frac{1057}{5472}\right)$	$e\left(\frac{607}{912}\right)$	$e\left(\frac{1747}{2736}\right)$	$e\left(\frac{919}{1824}\right)$	$e\left(\frac{2735}{5472}\right)$	$e\left(\frac{701}{1368}\right)$	$e\left(\frac{103}{1368}\right)$	$e\left(\frac{5389}{5472}\right)$	$e\left(\frac{1663}{2736}\right)$
$\chi_{46208}(139,\cdot)$	$-1$	$1$	$e\left(\frac{869}{5472}\right)$	$e\left(\frac{839}{5472}\right)$	$e\left(\frac{185}{912}\right)$	$e\left(\frac{869}{2736}\right)$	$e\left(\frac{833}{1824}\right)$	$e\left(\frac{1705}{5472}\right)$	$e\left(\frac{427}{1368}\right)$	$e\left(\frac{857}{1368}\right)$	$e\left(\frac{1979}{5472}\right)$	$e\left(\frac{1817}{2736}\right)$
$\chi_{46208}(187,\cdot)$	$-1$	$1$	$e\left(\frac{2209}{5472}\right)$	$e\left(\frac{187}{5472}\right)$	$e\left(\frac{613}{912}\right)$	$e\left(\frac{2209}{2736}\right)$	$e\left(\frac{877}{1824}\right)$	$e\left(\frac{2741}{5472}\right)$	$e\left(\frac{599}{1368}\right)$	$e\left(\frac{853}{1368}\right)$	$e\left(\frac{415}{5472}\right)$	$e\left(\frac{2629}{2736}\right)$
$\chi_{46208}(195,\cdot)$	$-1$	$1$	$e\left(\frac{4291}{5472}\right)$	$e\left(\frac{2449}{5472}\right)$	$e\left(\frac{415}{912}\right)$	$e\left(\frac{1555}{2736}\right)$	$e\left(\frac{1351}{1824}\right)$	$e\left(\frac{1631}{5472}\right)$	$e\left(\frac{317}{1368}\right)$	$e\left(\frac{271}{1368}\right)$	$e\left(\frac{1309}{5472}\right)$	$e\left(\frac{1759}{2736}\right)$
$\chi_{46208}(251,\cdot)$	$-1$	$1$	$e\left(\frac{1361}{5472}\right)$	$e\left(\frac{1547}{5472}\right)$	$e\left(\frac{677}{912}\right)$	$e\left(\frac{1361}{2736}\right)$	$e\left(\frac{125}{1824}\right)$	$e\left(\frac{1285}{5472}\right)$	$e\left(\frac{727}{1368}\right)$	$e\left(\frac{341}{1368}\right)$	$e\left(\frac{5423}{5472}\right)$	$e\left(\frac{2597}{2736}\right)$
$\chi_{46208}(275,\cdot)$	$-1$	$1$	$e\left(\frac{3815}{5472}\right)$	$e\left(\frac{3677}{5472}\right)$	$e\left(\frac{851}{912}\right)$	$e\left(\frac{1079}{2736}\right)$	$e\left(\frac{731}{1824}\right)$	$e\left(\frac{1459}{5472}\right)$	$e\left(\frac{505}{1368}\right)$	$e\left(\frac{203}{1368}\right)$	$e\left(\frac{3449}{5472}\right)$	$e\left(\frac{515}{2736}\right)$
$\chi_{46208}(283,\cdot)$	$-1$	$1$	$e\left(\frac{2521}{5472}\right)$	$e\left(\frac{2371}{5472}\right)$	$e\left(\frac{13}{912}\right)$	$e\left(\frac{2521}{2736}\right)$	$e\left(\frac{517}{1824}\right)$	$e\left(\frac{4877}{5472}\right)$	$e\left(\frac{1223}{1368}\right)$	$e\left(\frac{1093}{1368}\right)$	$e\left(\frac{2599}{5472}\right)$	$e\left(\frac{1789}{2736}\right)$
$\chi_{46208}(291,\cdot)$	$-1$	$1$	$e\left(\frac{3803}{5472}\right)$	$e\left(\frac{857}{5472}\right)$	$e\left(\frac{839}{912}\right)$	$e\left(\frac{1067}{2736}\right)$	$e\left(\frac{1727}{1824}\right)$	$e\left(\frac{535}{5472}\right)$	$e\left(\frac{1165}{1368}\right)$	$e\left(\frac{983}{1368}\right)$	$e\left(\frac{3365}{5472}\right)$	$e\left(\frac{2231}{2736}\right)$
$\chi_{46208}(339,\cdot)$	$-1$	$1$	$e\left(\frac{2839}{5472}\right)$	$e\left(\frac{493}{5472}\right)$	$e\left(\frac{787}{912}\right)$	$e\left(\frac{103}{2736}\right)$	$e\left(\frac{1483}{1824}\right)$	$e\left(\frac{4739}{5472}\right)$	$e\left(\frac{833}{1368}\right)$	$e\left(\frac{259}{1368}\right)$	$e\left(\frac{2089}{5472}\right)$	$e\left(\frac{1459}{2736}\right)$
$\chi_{46208}(347,\cdot)$	$-1$	$1$	$e\left(\frac{3913}{5472}\right)$	$e\left(\frac{1171}{5472}\right)$	$e\left(\frac{493}{912}\right)$	$e\left(\frac{1177}{2736}\right)$	$e\left(\frac{1717}{1824}\right)$	$e\left(\frac{2621}{5472}\right)$	$e\left(\frac{1271}{1368}\right)$	$e\left(\frac{901}{1368}\right)$	$e\left(\frac{1399}{5472}\right)$	$e\left(\frac{2461}{2736}\right)$
$\chi_{46208}(403,\cdot)$	$-1$	$1$	$e\left(\frac{2855}{5472}\right)$	$e\left(\frac{2429}{5472}\right)$	$e\left(\frac{803}{912}\right)$	$e\left(\frac{119}{2736}\right)$	$e\left(\frac{155}{1824}\right)$	$e\left(\frac{4147}{5472}\right)$	$e\left(\frac{1321}{1368}\right)$	$e\left(\frac{1043}{1368}\right)$	$e\left(\frac{2201}{5472}\right)$	$e\left(\frac{995}{2736}\right)$
$\chi_{46208}(427,\cdot)$	$-1$	$1$	$e\left(\frac{3149}{5472}\right)$	$e\left(\frac{383}{5472}\right)$	$e\left(\frac{641}{912}\right)$	$e\left(\frac{413}{2736}\right)$	$e\left(\frac{1289}{1824}\right)$	$e\left(\frac{2161}{5472}\right)$	$e\left(\frac{883}{1368}\right)$	$e\left(\frac{401}{1368}\right)$	$e\left(\frac{1523}{5472}\right)$	$e\left(\frac{1361}{2736}\right)$
$\chi_{46208}(435,\cdot)$	$-1$	$1$	$e\left(\frac{559}{5472}\right)$	$e\left(\frac{949}{5472}\right)$	$e\left(\frac{331}{912}\right)$	$e\left(\frac{559}{2736}\right)$	$e\left(\frac{1027}{1824}\right)$	$e\left(\frac{4283}{5472}\right)$	$e\left(\frac{377}{1368}\right)$	$e\left(\frac{715}{1368}\right)$	$e\left(\frac{2545}{5472}\right)$	$e\left(\frac{1915}{2736}\right)$
$\chi_{46208}(443,\cdot)$	$-1$	$1$	$e\left(\frac{4001}{5472}\right)$	$e\left(\frac{3611}{5472}\right)$	$e\left(\frac{581}{912}\right)$	$e\left(\frac{1265}{2736}\right)$	$e\left(\frac{1709}{1824}\right)$	$e\left(\frac{2101}{5472}\right)$	$e\left(\frac{535}{1368}\right)$	$e\left(\frac{1109}{1368}\right)$	$e\left(\frac{2015}{5472}\right)$	$e\left(\frac{2645}{2736}\right)$
$\chi_{46208}(491,\cdot)$	$-1$	$1$	$e\left(\frac{733}{5472}\right)$	$e\left(\frac{3535}{5472}\right)$	$e\left(\frac{49}{912}\right)$	$e\left(\frac{733}{2736}\right)$	$e\left(\frac{1177}{1824}\right)$	$e\left(\frac{4001}{5472}\right)$	$e\left(\frac{1067}{1368}\right)$	$e\left(\frac{1033}{1368}\right)$	$e\left(\frac{1027}{5472}\right)$	$e\left(\frac{289}{2736}\right)$
$\chi_{46208}(499,\cdot)$	$-1$	$1$	$e\left(\frac{799}{5472}\right)$	$e\left(\frac{2629}{5472}\right)$	$e\left(\frac{571}{912}\right)$	$e\left(\frac{799}{2736}\right)$	$e\left(\frac{1171}{1824}\right)$	$e\left(\frac{875}{5472}\right)$	$e\left(\frac{857}{1368}\right)$	$e\left(\frac{163}{1368}\right)$	$e\left(\frac{4225}{5472}\right)$	$e\left(\frac{427}{2736}\right)$
$\chi_{46208}(555,\cdot)$	$-1$	$1$	$e\left(\frac{1613}{5472}\right)$	$e\left(\frac{575}{5472}\right)$	$e\left(\frac{17}{912}\right)$	$e\left(\frac{1613}{2736}\right)$	$e\left(\frac{1097}{1824}\right)$	$e\left(\frac{4273}{5472}\right)$	$e\left(\frac{547}{1368}\right)$	$e\left(\frac{377}{1368}\right)$	$e\left(\frac{1715}{5472}\right)$	$e\left(\frac{2129}{2736}\right)$
$\chi_{46208}(579,\cdot)$	$-1$	$1$	$e\left(\frac{5219}{5472}\right)$	$e\left(\frac{5297}{5472}\right)$	$e\left(\frac{431}{912}\right)$	$e\left(\frac{2483}{2736}\right)$	$e\left(\frac{935}{1824}\right)$	$e\left(\frac{127}{5472}\right)$	$e\left(\frac{1261}{1368}\right)$	$e\left(\frac{599}{1368}\right)$	$e\left(\frac{2333}{5472}\right)$	$e\left(\frac{2207}{2736}\right)$
$\chi_{46208}(587,\cdot)$	$-1$	$1$	$e\left(\frac{1333}{5472}\right)$	$e\left(\frac{2263}{5472}\right)$	$e\left(\frac{649}{912}\right)$	$e\left(\frac{1333}{2736}\right)$	$e\left(\frac{625}{1824}\right)$	$e\left(\frac{953}{5472}\right)$	$e\left(\frac{899}{1368}\right)$	$e\left(\frac{337}{1368}\right)$	$e\left(\frac{5227}{5472}\right)$	$e\left(\frac{2041}{2736}\right)$
$\chi_{46208}(643,\cdot)$	$-1$	$1$	$e\left(\frac{1363}{5472}\right)$	$e\left(\frac{3841}{5472}\right)$	$e\left(\frac{223}{912}\right)$	$e\left(\frac{1363}{2736}\right)$	$e\left(\frac{1783}{1824}\right)$	$e\left(\frac{527}{5472}\right)$	$e\left(\frac{1301}{1368}\right)$	$e\left(\frac{439}{1368}\right)$	$e\left(\frac{2701}{5472}\right)$	$e\left(\frac{1855}{2736}\right)$
$\chi_{46208}(651,\cdot)$	$-1$	$1$	$e\left(\frac{421}{5472}\right)$	$e\left(\frac{1351}{5472}\right)$	$e\left(\frac{649}{912}\right)$	$e\left(\frac{421}{2736}\right)$	$e\left(\frac{1537}{1824}\right)$	$e\left(\frac{1865}{5472}\right)$	$e\left(\frac{443}{1368}\right)$	$e\left(\frac{793}{1368}\right)$	$e\left(\frac{4315}{5472}\right)$	$e\left(\frac{1129}{2736}\right)$
$\chi_{46208}(707,\cdot)$	$-1$	$1$	$e\left(\frac{3107}{5472}\right)$	$e\left(\frac{1457}{5472}\right)$	$e\left(\frac{143}{912}\right)$	$e\left(\frac{371}{2736}\right)$	$e\left(\frac{1127}{1824}\right)$	$e\left(\frac{1663}{5472}\right)$	$e\left(\frac{1141}{1368}\right)$	$e\left(\frac{1079}{1368}\right)$	$e\left(\frac{3965}{5472}\right)$	$e\left(\frac{527}{2736}\right)$
$\chi_{46208}(731,\cdot)$	$-1$	$1$	$e\left(\frac{4553}{5472}\right)$	$e\left(\frac{2003}{5472}\right)$	$e\left(\frac{221}{912}\right)$	$e\left(\frac{1817}{2736}\right)$	$e\left(\frac{1493}{1824}\right)$	$e\left(\frac{829}{5472}\right)$	$e\left(\frac{271}{1368}\right)$	$e\left(\frac{797}{1368}\right)$	$e\left(\frac{407}{5472}\right)$	$e\left(\frac{317}{2736}\right)$
$\chi_{46208}(739,\cdot)$	$-1$	$1$	$e\left(\frac{4843}{5472}\right)$	$e\left(\frac{841}{5472}\right)$	$e\left(\frac{55}{912}\right)$	$e\left(\frac{2107}{2736}\right)$	$e\left(\frac{1135}{1824}\right)$	$e\left(\frac{359}{5472}\right)$	$e\left(\frac{53}{1368}\right)$	$e\left(\frac{1327}{1368}\right)$	$e\left(\frac{5173}{5472}\right)$	$e\left(\frac{2167}{2736}\right)$
$\chi_{46208}(747,\cdot)$	$-1$	$1$	$e\left(\frac{1661}{5472}\right)$	$e\left(\frac{911}{5472}\right)$	$e\left(\frac{65}{912}\right)$	$e\left(\frac{1661}{2736}\right)$	$e\left(\frac{761}{1824}\right)$	$e\left(\frac{2497}{5472}\right)$	$e\left(\frac{643}{1368}\right)$	$e\left(\frac{1361}{1368}\right)$	$e\left(\frac{2051}{5472}\right)$	$e\left(\frac{737}{2736}\right)$
$\chi_{46208}(795,\cdot)$	$-1$	$1$	$e\left(\frac{4729}{5472}\right)$	$e\left(\frac{1411}{5472}\right)$	$e\left(\frac{397}{912}\right)$	$e\left(\frac{1993}{2736}\right)$	$e\left(\frac{1477}{1824}\right)$	$e\left(\frac{5261}{5472}\right)$	$e\left(\frac{167}{1368}\right)$	$e\left(\frac{1213}{1368}\right)$	$e\left(\frac{1639}{5472}\right)$	$e\left(\frac{685}{2736}\right)$
$\chi_{46208}(803,\cdot)$	$-1$	$1$	$e\left(\frac{2779}{5472}\right)$	$e\left(\frac{2809}{5472}\right)$	$e\left(\frac{727}{912}\right)$	$e\left(\frac{43}{2736}\right)$	$e\left(\frac{991}{1824}\right)$	$e\left(\frac{119}{5472}\right)$	$e\left(\frac{29}{1368}\right)$	$e\left(\frac{55}{1368}\right)$	$e\left(\frac{1669}{5472}\right)$	$e\left(\frac{1831}{2736}\right)$
$\chi_{46208}(859,\cdot)$	$-1$	$1$	$e\left(\frac{1865}{5472}\right)$	$e\left(\frac{5075}{5472}\right)$	$e\left(\frac{269}{912}\right)$	$e\left(\frac{1865}{2736}\right)$	$e\left(\frac{245}{1824}\right)$	$e\left(\frac{1789}{5472}\right)$	$e\left(\frac{367}{1368}\right)$	$e\left(\frac{413}{1368}\right)$	$e\left(\frac{3479}{5472}\right)$	$e\left(\frac{1661}{2736}\right)$