LMFDB - Dirichlet character orbit 4235.cv

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(4235, base_ring=CyclotomicField(110)) M = H._module chi = DirichletCharacter(H, M([55,55,67])) chi.galois_orbit()

pari:[g,chi] = znchar(Mod(139,4235)) order = charorder(g,chi) [ charpow(g,chi, k % order) | k <-[1..order-1], gcd(k,order)==1 ]

Basic properties

Modulus:	$4235$
Conductor:	$4235$	sage:chi.conductor() pari:znconreyconductor(g,chi)
Order:	$110$	sage:chi.multiplicative_order() pari:charorder(g,chi)
Real:	no
Primitive:	yes	sage:chi.is_primitive() pari:#znconreyconductor(g,chi)==1
Minimal:	yes
Parity:	even	sage:chi.is_odd() pari:zncharisodd(g,chi)

Related number fields

Field of values:	$\Q(\zeta_{55})$
Fixed field:	Number field defined by a degree 110 polynomial (not computed)

First 31 of 40 characters in Galois orbit

Character	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$12$	$13$	$16$	$17$
$\chi_{4235}(139,\cdot)$	$1$	$1$	$e\left(\frac{6}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{57}{110}\right)$	$e\left(\frac{24}{55}\right)$	$e\left(\frac{93}{110}\right)$
$\chi_{4235}(244,\cdot)$	$1$	$1$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{55}\right)$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{29}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{101}{110}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{49}{110}\right)$
$\chi_{4235}(314,\cdot)$	$1$	$1$	$e\left(\frac{7}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{21}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{81}{110}\right)$
$\chi_{4235}(349,\cdot)$	$1$	$1$	$e\left(\frac{4}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{93}{110}\right)$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{7}{110}\right)$
$\chi_{4235}(629,\cdot)$	$1$	$1$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{7}{55}\right)$	$e\left(\frac{54}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{59}{110}\right)$
$\chi_{4235}(734,\cdot)$	$1$	$1$	$e\left(\frac{29}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{83}{110}\right)$	$e\left(\frac{6}{55}\right)$	$e\left(\frac{37}{110}\right)$
$\chi_{4235}(909,\cdot)$	$1$	$1$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{49}{55}\right)$	$e\left(\frac{48}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{83}{110}\right)$
$\chi_{4235}(1014,\cdot)$	$1$	$1$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{52}{55}\right)$	$e\left(\frac{24}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{21}{110}\right)$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{69}{110}\right)$
$\chi_{4235}(1084,\cdot)$	$1$	$1$	$e\left(\frac{37}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{19}{55}\right)$	$e\left(\frac{48}{55}\right)$	$e\left(\frac{1}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{49}{110}\right)$	$e\left(\frac{38}{55}\right)$	$e\left(\frac{51}{110}\right)$
$\chi_{4235}(1119,\cdot)$	$1$	$1$	$e\left(\frac{54}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{21}{55}\right)$	$e\left(\frac{52}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{67}{110}\right)$
$\chi_{4235}(1294,\cdot)$	$1$	$1$	$e\left(\frac{21}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{42}{55}\right)$	$e\left(\frac{54}{55}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{7}{110}\right)$	$e\left(\frac{29}{55}\right)$	$e\left(\frac{23}{110}\right)$
$\chi_{4235}(1399,\cdot)$	$1$	$1$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{42}{55}\right)$	$e\left(\frac{49}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{91}{110}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{79}{110}\right)$
$\chi_{4235}(1469,\cdot)$	$1$	$1$	$e\left(\frac{52}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{49}{55}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{46}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{109}{110}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{91}{110}\right)$
$\chi_{4235}(1504,\cdot)$	$1$	$1$	$e\left(\frac{24}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{48}{55}\right)$	$e\left(\frac{46}{55}\right)$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{63}{110}\right)$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{97}{110}\right)$
$\chi_{4235}(1679,\cdot)$	$1$	$1$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{52}{55}\right)$	$e\left(\frac{4}{55}\right)$	$e\left(\frac{23}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{27}{110}\right)$	$e\left(\frac{49}{55}\right)$	$e\left(\frac{73}{110}\right)$
$\chi_{4235}(1784,\cdot)$	$1$	$1$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{19}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{7}{55}\right)$	$e\left(\frac{89}{110}\right)$
$\chi_{4235}(1854,\cdot)$	$1$	$1$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{24}{55}\right)$	$e\left(\frac{23}{55}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{59}{110}\right)$	$e\left(\frac{48}{55}\right)$	$e\left(\frac{21}{110}\right)$
$\chi_{4235}(1889,\cdot)$	$1$	$1$	$e\left(\frac{49}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{37}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{53}{110}\right)$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{17}{110}\right)$
$\chi_{4235}(2064,\cdot)$	$1$	$1$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{7}{55}\right)$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{38}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{47}{110}\right)$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{13}{110}\right)$
$\chi_{4235}(2239,\cdot)$	$1$	$1$	$e\left(\frac{27}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{54}{55}\right)$	$e\left(\frac{38}{55}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{9}{110}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{61}{110}\right)$
$\chi_{4235}(2274,\cdot)$	$1$	$1$	$e\left(\frac{19}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{38}{55}\right)$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{43}{110}\right)$	$e\left(\frac{21}{55}\right)$	$e\left(\frac{47}{110}\right)$
$\chi_{4235}(2449,\cdot)$	$1$	$1$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{67}{110}\right)$	$e\left(\frac{34}{55}\right)$	$e\left(\frac{63}{110}\right)$
$\chi_{4235}(2554,\cdot)$	$1$	$1$	$e\left(\frac{23}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{46}{55}\right)$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{37}{55}\right)$	$e\left(\frac{109}{110}\right)$
$\chi_{4235}(2624,\cdot)$	$1$	$1$	$e\left(\frac{42}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{29}{55}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{101}{110}\right)$
$\chi_{4235}(2834,\cdot)$	$1$	$1$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{27}{55}\right)$	$e\left(\frac{19}{55}\right)$	$e\left(\frac{13}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{87}{110}\right)$	$e\left(\frac{54}{55}\right)$	$e\left(\frac{3}{110}\right)$
$\chi_{4235}(2939,\cdot)$	$1$	$1$	$e\left(\frac{13}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{41}{110}\right)$	$e\left(\frac{52}{55}\right)$	$e\left(\frac{9}{110}\right)$
$\chi_{4235}(3009,\cdot)$	$1$	$1$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{4}{55}\right)$	$e\left(\frac{13}{55}\right)$	$e\left(\frac{6}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{19}{110}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{31}{110}\right)$
$\chi_{4235}(3044,\cdot)$	$1$	$1$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{42}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{1}{55}\right)$	$e\left(\frac{107}{110}\right)$
$\chi_{4235}(3219,\cdot)$	$1$	$1$	$e\left(\frac{46}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{37}{55}\right)$	$e\left(\frac{24}{55}\right)$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{107}{110}\right)$	$e\left(\frac{19}{55}\right)$	$e\left(\frac{53}{110}\right)$
$\chi_{4235}(3324,\cdot)$	$1$	$1$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{6}{55}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{1}{110}\right)$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{19}{110}\right)$
$\chi_{4235}(3394,\cdot)$	$1$	$1$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{34}{55}\right)$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{79}{110}\right)$	$e\left(\frac{13}{55}\right)$	$e\left(\frac{71}{110}\right)$

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Character	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(8\)	\(9\)	\(12\)	\(13\)	\(16\)	\(17\)
\(\chi_{4235}(139,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{57}{110}\right)\)	\(e\left(\frac{24}{55}\right)\)	\(e\left(\frac{93}{110}\right)\)
\(\chi_{4235}(244,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{28}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{1}{55}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{29}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{49}{110}\right)\)
\(\chi_{4235}(314,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{7}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{21}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{28}{55}\right)\)	\(e\left(\frac{81}{110}\right)\)
\(\chi_{4235}(349,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{4}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{93}{110}\right)\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{7}{110}\right)\)
\(\chi_{4235}(629,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{7}{55}\right)\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{61}{110}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{59}{110}\right)\)
\(\chi_{4235}(734,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{29}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{83}{110}\right)\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{37}{110}\right)\)
\(\chi_{4235}(909,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{49}{55}\right)\)	\(e\left(\frac{48}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{83}{110}\right)\)
\(\chi_{4235}(1014,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{52}{55}\right)\)	\(e\left(\frac{24}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{11}\right)\)	\(e\left(\frac{21}{110}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{69}{110}\right)\)
\(\chi_{4235}(1084,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{19}{55}\right)\)	\(e\left(\frac{48}{55}\right)\)	\(e\left(\frac{1}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{49}{110}\right)\)	\(e\left(\frac{38}{55}\right)\)	\(e\left(\frac{51}{110}\right)\)
\(\chi_{4235}(1119,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{21}{55}\right)\)	\(e\left(\frac{52}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{67}{110}\right)\)
\(\chi_{4235}(1294,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{21}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{42}{55}\right)\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{7}{110}\right)\)	\(e\left(\frac{29}{55}\right)\)	\(e\left(\frac{23}{110}\right)\)
\(\chi_{4235}(1399,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{42}{55}\right)\)	\(e\left(\frac{49}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{91}{110}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{79}{110}\right)\)
\(\chi_{4235}(1469,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{52}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{49}{55}\right)\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{46}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{1}{11}\right)\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{91}{110}\right)\)
\(\chi_{4235}(1504,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{24}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{48}{55}\right)\)	\(e\left(\frac{46}{55}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{97}{110}\right)\)
\(\chi_{4235}(1679,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{52}{55}\right)\)	\(e\left(\frac{4}{55}\right)\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{27}{110}\right)\)	\(e\left(\frac{49}{55}\right)\)	\(e\left(\frac{73}{110}\right)\)
\(\chi_{4235}(1784,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{19}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{51}{110}\right)\)	\(e\left(\frac{7}{55}\right)\)	\(e\left(\frac{89}{110}\right)\)
\(\chi_{4235}(1854,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{24}{55}\right)\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{7}{11}\right)\)	\(e\left(\frac{59}{110}\right)\)	\(e\left(\frac{48}{55}\right)\)	\(e\left(\frac{21}{110}\right)\)
\(\chi_{4235}(1889,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{49}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{53}{110}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{17}{110}\right)\)
\(\chi_{4235}(2064,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{7}{55}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{38}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{47}{110}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{13}{110}\right)\)
\(\chi_{4235}(2239,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{38}{55}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{9}{110}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{61}{110}\right)\)
\(\chi_{4235}(2274,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{19}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{38}{55}\right)\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{1}{11}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{21}{55}\right)\)	\(e\left(\frac{47}{110}\right)\)
\(\chi_{4235}(2449,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{67}{110}\right)\)	\(e\left(\frac{34}{55}\right)\)	\(e\left(\frac{63}{110}\right)\)
\(\chi_{4235}(2554,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{46}{55}\right)\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{7}{11}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{109}{110}\right)\)
\(\chi_{4235}(2624,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{42}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{29}{55}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{101}{110}\right)\)
\(\chi_{4235}(2834,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{19}{55}\right)\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{1}{11}\right)\)	\(e\left(\frac{87}{110}\right)\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{3}{110}\right)\)
\(\chi_{4235}(2939,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{41}{110}\right)\)	\(e\left(\frac{52}{55}\right)\)	\(e\left(\frac{9}{110}\right)\)
\(\chi_{4235}(3009,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{4}{55}\right)\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{19}{110}\right)\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{31}{110}\right)\)
\(\chi_{4235}(3044,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{28}{55}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{42}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{1}{55}\right)\)	\(e\left(\frac{107}{110}\right)\)
\(\chi_{4235}(3219,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{46}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{24}{55}\right)\)	\(e\left(\frac{28}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{107}{110}\right)\)	\(e\left(\frac{19}{55}\right)\)	\(e\left(\frac{53}{110}\right)\)
\(\chi_{4235}(3324,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{1}{110}\right)\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{19}{110}\right)\)
\(\chi_{4235}(3394,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{34}{55}\right)\)	\(e\left(\frac{28}{55}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{79}{110}\right)\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{71}{110}\right)\)

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First 31 of 40 characters in Galois orbit

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	4235.cv
Modulus	$4235$
Conductor	$4235$
Order	$110$
Real	no
Primitive	yes
Minimal	yes
Parity	even

Modulus:	\(4235\)
Conductor:	\(4235\)	sage:chi.conductor() pari:znconreyconductor(g,chi)
Order:	\(110\)	sage:chi.multiplicative_order() pari:charorder(g,chi)
Real:	no
Primitive:	yes	sage:chi.is_primitive() pari:#znconreyconductor(g,chi)==1
Minimal:	yes
Parity:	even	sage:chi.is_odd() pari:zncharisodd(g,chi)