Dirichlet character orbit 43904.eu

• Label: 43904.eu
• Modulus: $43904$
• Conductor: $21952$
• Order: $784$
• Real: no
• Primitive: no
• Minimal: no
• Parity: odd

Basic properties

Modulus:	$43904$
Conductor:	$21952$
Order:	$784$
Real:	no
Primitive:	no, induced from 21952.ee
Minimal:	no
Parity:	odd

Related number fields

Field of values:	$\Q(\zeta_{784})$
Fixed field:	Number field defined by a degree 784 polynomial (not computed)

First 31 of 336 characters in Galois orbit

Character	$-1$	$1$	$3$	$5$	$9$	$11$	$13$	$15$	$17$	$19$	$23$	$25$
$\chi_{43904}(41,\cdot)$	$-1$	$1$	$e\left(\frac{341}{784}\right)$	$e\left(\frac{775}{784}\right)$	$e\left(\frac{341}{392}\right)$	$e\left(\frac{123}{784}\right)$	$e\left(\frac{361}{784}\right)$	$e\left(\frac{83}{196}\right)$	$e\left(\frac{159}{196}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{81}{392}\right)$	$e\left(\frac{383}{392}\right)$
$\chi_{43904}(153,\cdot)$	$-1$	$1$	$e\left(\frac{219}{784}\right)$	$e\left(\frac{569}{784}\right)$	$e\left(\frac{219}{392}\right)$	$e\left(\frac{325}{784}\right)$	$e\left(\frac{87}{784}\right)$	$e\left(\frac{1}{196}\right)$	$e\left(\frac{9}{196}\right)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{367}{392}\right)$	$e\left(\frac{177}{392}\right)$
$\chi_{43904}(265,\cdot)$	$-1$	$1$	$e\left(\frac{545}{784}\right)$	$e\left(\frac{27}{784}\right)$	$e\left(\frac{153}{392}\right)$	$e\left(\frac{415}{784}\right)$	$e\left(\frac{485}{784}\right)$	$e\left(\frac{143}{196}\right)$	$e\left(\frac{111}{196}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{149}{392}\right)$	$e\left(\frac{27}{392}\right)$
$\chi_{43904}(377,\cdot)$	$-1$	$1$	$e\left(\frac{535}{784}\right)$	$e\left(\frac{717}{784}\right)$	$e\left(\frac{143}{392}\right)$	$e\left(\frac{393}{784}\right)$	$e\left(\frac{771}{784}\right)$	$e\left(\frac{117}{196}\right)$	$e\left(\frac{73}{196}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{211}{392}\right)$	$e\left(\frac{325}{392}\right)$
$\chi_{43904}(601,\cdot)$	$-1$	$1$	$e\left(\frac{291}{784}\right)$	$e\left(\frac{305}{784}\right)$	$e\left(\frac{291}{392}\right)$	$e\left(\frac{13}{784}\right)$	$e\left(\frac{223}{784}\right)$	$e\left(\frac{149}{196}\right)$	$e\left(\frac{165}{196}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{391}{392}\right)$	$e\left(\frac{305}{392}\right)$
$\chi_{43904}(713,\cdot)$	$-1$	$1$	$e\left(\frac{57}{784}\right)$	$e\left(\frac{771}{784}\right)$	$e\left(\frac{57}{392}\right)$	$e\left(\frac{439}{784}\right)$	$e\left(\frac{173}{784}\right)$	$e\left(\frac{11}{196}\right)$	$e\left(\frac{99}{196}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{117}{392}\right)$	$e\left(\frac{379}{392}\right)$
$\chi_{43904}(825,\cdot)$	$-1$	$1$	$e\left(\frac{271}{784}\right)$	$e\left(\frac{117}{784}\right)$	$e\left(\frac{271}{392}\right)$	$e\left(\frac{753}{784}\right)$	$e\left(\frac{11}{784}\right)$	$e\left(\frac{97}{196}\right)$	$e\left(\frac{89}{196}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{123}{392}\right)$	$e\left(\frac{117}{392}\right)$
$\chi_{43904}(937,\cdot)$	$-1$	$1$	$e\left(\frac{149}{784}\right)$	$e\left(\frac{695}{784}\right)$	$e\left(\frac{149}{392}\right)$	$e\left(\frac{171}{784}\right)$	$e\left(\frac{521}{784}\right)$	$e\left(\frac{15}{196}\right)$	$e\left(\frac{135}{196}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{17}{392}\right)$	$e\left(\frac{303}{392}\right)$
$\chi_{43904}(1049,\cdot)$	$-1$	$1$	$e\left(\frac{475}{784}\right)$	$e\left(\frac{153}{784}\right)$	$e\left(\frac{83}{392}\right)$	$e\left(\frac{261}{784}\right)$	$e\left(\frac{135}{784}\right)$	$e\left(\frac{157}{196}\right)$	$e\left(\frac{41}{196}\right)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{191}{392}\right)$	$e\left(\frac{153}{392}\right)$
$\chi_{43904}(1161,\cdot)$	$-1$	$1$	$e\left(\frac{465}{784}\right)$	$e\left(\frac{59}{784}\right)$	$e\left(\frac{73}{392}\right)$	$e\left(\frac{239}{784}\right)$	$e\left(\frac{421}{784}\right)$	$e\left(\frac{131}{196}\right)$	$e\left(\frac{3}{196}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{253}{392}\right)$	$e\left(\frac{59}{392}\right)$
$\chi_{43904}(1385,\cdot)$	$-1$	$1$	$e\left(\frac{221}{784}\right)$	$e\left(\frac{431}{784}\right)$	$e\left(\frac{221}{392}\right)$	$e\left(\frac{643}{784}\right)$	$e\left(\frac{657}{784}\right)$	$e\left(\frac{163}{196}\right)$	$e\left(\frac{95}{196}\right)$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{41}{392}\right)$	$e\left(\frac{39}{392}\right)$
$\chi_{43904}(1497,\cdot)$	$-1$	$1$	$e\left(\frac{771}{784}\right)$	$e\left(\frac{113}{784}\right)$	$e\left(\frac{379}{392}\right)$	$e\left(\frac{285}{784}\right)$	$e\left(\frac{607}{784}\right)$	$e\left(\frac{25}{196}\right)$	$e\left(\frac{29}{196}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{159}{392}\right)$	$e\left(\frac{113}{392}\right)$
$\chi_{43904}(1609,\cdot)$	$-1$	$1$	$e\left(\frac{201}{784}\right)$	$e\left(\frac{243}{784}\right)$	$e\left(\frac{201}{392}\right)$	$e\left(\frac{599}{784}\right)$	$e\left(\frac{445}{784}\right)$	$e\left(\frac{111}{196}\right)$	$e\left(\frac{19}{196}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{165}{392}\right)$	$e\left(\frac{243}{392}\right)$
$\chi_{43904}(1721,\cdot)$	$-1$	$1$	$e\left(\frac{79}{784}\right)$	$e\left(\frac{37}{784}\right)$	$e\left(\frac{79}{392}\right)$	$e\left(\frac{17}{784}\right)$	$e\left(\frac{171}{784}\right)$	$e\left(\frac{29}{196}\right)$	$e\left(\frac{65}{196}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{59}{392}\right)$	$e\left(\frac{37}{392}\right)$
$\chi_{43904}(1833,\cdot)$	$-1$	$1$	$e\left(\frac{405}{784}\right)$	$e\left(\frac{279}{784}\right)$	$e\left(\frac{13}{392}\right)$	$e\left(\frac{107}{784}\right)$	$e\left(\frac{569}{784}\right)$	$e\left(\frac{171}{196}\right)$	$e\left(\frac{167}{196}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{233}{392}\right)$	$e\left(\frac{279}{392}\right)$
$\chi_{43904}(1945,\cdot)$	$-1$	$1$	$e\left(\frac{395}{784}\right)$	$e\left(\frac{185}{784}\right)$	$e\left(\frac{3}{392}\right)$	$e\left(\frac{85}{784}\right)$	$e\left(\frac{71}{784}\right)$	$e\left(\frac{145}{196}\right)$	$e\left(\frac{129}{196}\right)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{295}{392}\right)$	$e\left(\frac{185}{392}\right)$
$\chi_{43904}(2169,\cdot)$	$-1$	$1$	$e\left(\frac{151}{784}\right)$	$e\left(\frac{557}{784}\right)$	$e\left(\frac{151}{392}\right)$	$e\left(\frac{489}{784}\right)$	$e\left(\frac{307}{784}\right)$	$e\left(\frac{177}{196}\right)$	$e\left(\frac{25}{196}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{83}{392}\right)$	$e\left(\frac{165}{392}\right)$
$\chi_{43904}(2281,\cdot)$	$-1$	$1$	$e\left(\frac{701}{784}\right)$	$e\left(\frac{239}{784}\right)$	$e\left(\frac{309}{392}\right)$	$e\left(\frac{131}{784}\right)$	$e\left(\frac{257}{784}\right)$	$e\left(\frac{39}{196}\right)$	$e\left(\frac{155}{196}\right)$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{201}{392}\right)$	$e\left(\frac{239}{392}\right)$
$\chi_{43904}(2393,\cdot)$	$-1$	$1$	$e\left(\frac{131}{784}\right)$	$e\left(\frac{369}{784}\right)$	$e\left(\frac{131}{392}\right)$	$e\left(\frac{445}{784}\right)$	$e\left(\frac{95}{784}\right)$	$e\left(\frac{125}{196}\right)$	$e\left(\frac{145}{196}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{207}{392}\right)$	$e\left(\frac{369}{392}\right)$
$\chi_{43904}(2505,\cdot)$	$-1$	$1$	$e\left(\frac{9}{784}\right)$	$e\left(\frac{163}{784}\right)$	$e\left(\frac{9}{392}\right)$	$e\left(\frac{647}{784}\right)$	$e\left(\frac{605}{784}\right)$	$e\left(\frac{43}{196}\right)$	$e\left(\frac{191}{196}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{101}{392}\right)$	$e\left(\frac{163}{392}\right)$
$\chi_{43904}(2617,\cdot)$	$-1$	$1$	$e\left(\frac{335}{784}\right)$	$e\left(\frac{405}{784}\right)$	$e\left(\frac{335}{392}\right)$	$e\left(\frac{737}{784}\right)$	$e\left(\frac{219}{784}\right)$	$e\left(\frac{185}{196}\right)$	$e\left(\frac{97}{196}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{275}{392}\right)$	$e\left(\frac{13}{392}\right)$
$\chi_{43904}(2729,\cdot)$	$-1$	$1$	$e\left(\frac{325}{784}\right)$	$e\left(\frac{311}{784}\right)$	$e\left(\frac{325}{392}\right)$	$e\left(\frac{715}{784}\right)$	$e\left(\frac{505}{784}\right)$	$e\left(\frac{159}{196}\right)$	$e\left(\frac{59}{196}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{337}{392}\right)$	$e\left(\frac{311}{392}\right)$
$\chi_{43904}(2953,\cdot)$	$-1$	$1$	$e\left(\frac{81}{784}\right)$	$e\left(\frac{683}{784}\right)$	$e\left(\frac{81}{392}\right)$	$e\left(\frac{335}{784}\right)$	$e\left(\frac{741}{784}\right)$	$e\left(\frac{191}{196}\right)$	$e\left(\frac{151}{196}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{125}{392}\right)$	$e\left(\frac{291}{392}\right)$
$\chi_{43904}(3065,\cdot)$	$-1$	$1$	$e\left(\frac{631}{784}\right)$	$e\left(\frac{365}{784}\right)$	$e\left(\frac{239}{392}\right)$	$e\left(\frac{761}{784}\right)$	$e\left(\frac{691}{784}\right)$	$e\left(\frac{53}{196}\right)$	$e\left(\frac{85}{196}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{243}{392}\right)$	$e\left(\frac{365}{392}\right)$
$\chi_{43904}(3177,\cdot)$	$-1$	$1$	$e\left(\frac{61}{784}\right)$	$e\left(\frac{495}{784}\right)$	$e\left(\frac{61}{392}\right)$	$e\left(\frac{291}{784}\right)$	$e\left(\frac{529}{784}\right)$	$e\left(\frac{139}{196}\right)$	$e\left(\frac{75}{196}\right)$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{249}{392}\right)$	$e\left(\frac{103}{392}\right)$
$\chi_{43904}(3289,\cdot)$	$-1$	$1$	$e\left(\frac{723}{784}\right)$	$e\left(\frac{289}{784}\right)$	$e\left(\frac{331}{392}\right)$	$e\left(\frac{493}{784}\right)$	$e\left(\frac{255}{784}\right)$	$e\left(\frac{57}{196}\right)$	$e\left(\frac{121}{196}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{143}{392}\right)$	$e\left(\frac{289}{392}\right)$
$\chi_{43904}(3401,\cdot)$	$-1$	$1$	$e\left(\frac{265}{784}\right)$	$e\left(\frac{531}{784}\right)$	$e\left(\frac{265}{392}\right)$	$e\left(\frac{583}{784}\right)$	$e\left(\frac{653}{784}\right)$	$e\left(\frac{3}{196}\right)$	$e\left(\frac{27}{196}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{317}{392}\right)$	$e\left(\frac{139}{392}\right)$
$\chi_{43904}(3513,\cdot)$	$-1$	$1$	$e\left(\frac{255}{784}\right)$	$e\left(\frac{437}{784}\right)$	$e\left(\frac{255}{392}\right)$	$e\left(\frac{561}{784}\right)$	$e\left(\frac{155}{784}\right)$	$e\left(\frac{173}{196}\right)$	$e\left(\frac{185}{196}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{379}{392}\right)$	$e\left(\frac{45}{392}\right)$
$\chi_{43904}(3737,\cdot)$	$-1$	$1$	$e\left(\frac{11}{784}\right)$	$e\left(\frac{25}{784}\right)$	$e\left(\frac{11}{392}\right)$	$e\left(\frac{181}{784}\right)$	$e\left(\frac{391}{784}\right)$	$e\left(\frac{9}{196}\right)$	$e\left(\frac{81}{196}\right)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{167}{392}\right)$	$e\left(\frac{25}{392}\right)$
$\chi_{43904}(3849,\cdot)$	$-1$	$1$	$e\left(\frac{561}{784}\right)$	$e\left(\frac{491}{784}\right)$	$e\left(\frac{169}{392}\right)$	$e\left(\frac{607}{784}\right)$	$e\left(\frac{341}{784}\right)$	$e\left(\frac{67}{196}\right)$	$e\left(\frac{15}{196}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{285}{392}\right)$	$e\left(\frac{99}{392}\right)$
$\chi_{43904}(3961,\cdot)$	$-1$	$1$	$e\left(\frac{775}{784}\right)$	$e\left(\frac{621}{784}\right)$	$e\left(\frac{383}{392}\right)$	$e\left(\frac{137}{784}\right)$	$e\left(\frac{179}{784}\right)$	$e\left(\frac{153}{196}\right)$	$e\left(\frac{5}{196}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{291}{392}\right)$	$e\left(\frac{229}{392}\right)$