LMFDB - Dirichlet character orbit 7260.de

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(7260, base_ring=CyclotomicField(110)) M = H._module chi = DirichletCharacter(H, M([55,0,0,53])) chi.galois_orbit()

pari:[g,chi] = znchar(Mod(151,7260)) order = charorder(g,chi) [ charpow(g,chi, k % order) | k <-[1..order-1], gcd(k,order)==1 ]

Basic properties

Modulus:	$7260$
Conductor:	$484$	sage:chi.conductor() pari:znconreyconductor(g,chi)
Order:	$110$	sage:chi.multiplicative_order() pari:charorder(g,chi)
Real:	no
Primitive:	no, induced from 484.p	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	$-1$	$1$	$7$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$
$\chi_{7260}(151,\cdot)$	$1$	$1$	$e\left(\frac{48}{55}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{67}{110}\right)$	$e\left(\frac{27}{55}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{21}{110}\right)$	$e\left(\frac{103}{110}\right)$	$e\left(\frac{13}{55}\right)$	$e\left(\frac{9}{110}\right)$	$e\left(\frac{6}{11}\right)$
$\chi_{7260}(211,\cdot)$	$1$	$1$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{89}{110}\right)$	$e\left(\frac{49}{55}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{87}{110}\right)$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{46}{55}\right)$	$e\left(\frac{53}{110}\right)$	$e\left(\frac{6}{11}\right)$
$\chi_{7260}(271,\cdot)$	$1$	$1$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{67}{110}\right)$	$e\left(\frac{63}{110}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{87}{110}\right)$	$e\left(\frac{27}{55}\right)$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{4}{11}\right)$
$\chi_{7260}(391,\cdot)$	$1$	$1$	$e\left(\frac{4}{55}\right)$	$e\left(\frac{29}{110}\right)$	$e\left(\frac{1}{110}\right)$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{43}{110}\right)$	$e\left(\frac{59}{110}\right)$	$e\left(\frac{24}{55}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{6}{11}\right)$
$\chi_{7260}(811,\cdot)$	$1$	$1$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{103}{110}\right)$	$e\left(\frac{87}{110}\right)$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{1}{110}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{79}{110}\right)$	$e\left(\frac{5}{11}\right)$
$\chi_{7260}(871,\cdot)$	$1$	$1$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{59}{110}\right)$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{9}{22}\right)$	$e\left(\frac{7}{110}\right)$	$e\left(\frac{71}{110}\right)$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{3}{110}\right)$	$e\left(\frac{2}{11}\right)$
$\chi_{7260}(931,\cdot)$	$1$	$1$	$e\left(\frac{37}{55}\right)$	$e\left(\frac{7}{110}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{38}{55}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{109}{110}\right)$	$e\left(\frac{37}{110}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{31}{110}\right)$	$e\left(\frac{6}{11}\right)$
$\chi_{7260}(1051,\cdot)$	$1$	$1$	$e\left(\frac{19}{55}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{101}{110}\right)$	$e\left(\frac{21}{55}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{53}{110}\right)$	$e\left(\frac{19}{110}\right)$	$e\left(\frac{4}{55}\right)$	$e\left(\frac{7}{110}\right)$	$e\left(\frac{1}{11}\right)$
$\chi_{7260}(1471,\cdot)$	$1$	$1$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{107}{110}\right)$	$e\left(\frac{7}{55}\right)$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{91}{110}\right)$	$e\left(\frac{43}{110}\right)$	$e\left(\frac{38}{55}\right)$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{4}{11}\right)$
$\chi_{7260}(1531,\cdot)$	$1$	$1$	$e\left(\frac{6}{55}\right)$	$e\left(\frac{71}{110}\right)$	$e\left(\frac{29}{110}\right)$	$e\left(\frac{24}{55}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{37}{110}\right)$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{63}{110}\right)$	$e\left(\frac{9}{11}\right)$
$\chi_{7260}(1591,\cdot)$	$1$	$1$	$e\left(\frac{42}{55}\right)$	$e\left(\frac{57}{110}\right)$	$e\left(\frac{93}{110}\right)$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{1}{110}\right)$	$e\left(\frac{8}{11}\right)$
$\chi_{7260}(1711,\cdot)$	$1$	$1$	$e\left(\frac{34}{55}\right)$	$e\left(\frac{109}{110}\right)$	$e\left(\frac{91}{110}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{15}{22}\right)$	$e\left(\frac{63}{110}\right)$	$e\left(\frac{89}{110}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{27}{110}\right)$	$e\left(\frac{7}{11}\right)$
$\chi_{7260}(2131,\cdot)$	$1$	$1$	$e\left(\frac{13}{55}\right)$	$e\left(\frac{53}{110}\right)$	$e\left(\frac{17}{110}\right)$	$e\left(\frac{52}{55}\right)$	$e\left(\frac{19}{22}\right)$	$e\left(\frac{71}{110}\right)$	$e\left(\frac{13}{110}\right)$	$e\left(\frac{23}{55}\right)$	$e\left(\frac{109}{110}\right)$	$e\left(\frac{3}{11}\right)$
$\chi_{7260}(2191,\cdot)$	$1$	$1$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{109}{110}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{67}{110}\right)$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{13}{110}\right)$	$e\left(\frac{5}{11}\right)$
$\chi_{7260}(2251,\cdot)$	$1$	$1$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{107}{110}\right)$	$e\left(\frac{53}{110}\right)$	$e\left(\frac{23}{55}\right)$	$e\left(\frac{1}{22}\right)$	$e\left(\frac{79}{110}\right)$	$e\left(\frac{47}{110}\right)$	$e\left(\frac{7}{55}\right)$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{10}{11}\right)$
$\chi_{7260}(2371,\cdot)$	$1$	$1$	$e\left(\frac{49}{55}\right)$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{9}{22}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{49}{110}\right)$	$e\left(\frac{19}{55}\right)$	$e\left(\frac{47}{110}\right)$	$e\left(\frac{2}{11}\right)$
$\chi_{7260}(2791,\cdot)$	$1$	$1$	$e\left(\frac{38}{55}\right)$	$e\left(\frac{83}{110}\right)$	$e\left(\frac{37}{110}\right)$	$e\left(\frac{42}{55}\right)$	$e\left(\frac{9}{22}\right)$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{93}{110}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{2}{11}\right)$
$\chi_{7260}(2851,\cdot)$	$1$	$1$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{91}{110}\right)$	$e\left(\frac{79}{110}\right)$	$e\left(\frac{54}{55}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{41}{110}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{1}{11}\right)$
$\chi_{7260}(2911,\cdot)$	$1$	$1$	$e\left(\frac{52}{55}\right)$	$e\left(\frac{47}{110}\right)$	$e\left(\frac{13}{110}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{9}{110}\right)$	$e\left(\frac{107}{110}\right)$	$e\left(\frac{37}{55}\right)$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{1}{11}\right)$
$\chi_{7260}(3031,\cdot)$	$1$	$1$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{79}{110}\right)$	$e\left(\frac{71}{110}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{83}{110}\right)$	$e\left(\frac{9}{110}\right)$	$e\left(\frac{54}{55}\right)$	$e\left(\frac{67}{110}\right)$	$e\left(\frac{8}{11}\right)$
$\chi_{7260}(3451,\cdot)$	$1$	$1$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{3}{110}\right)$	$e\left(\frac{57}{110}\right)$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{31}{110}\right)$	$e\left(\frac{63}{110}\right)$	$e\left(\frac{48}{55}\right)$	$e\left(\frac{29}{110}\right)$	$e\left(\frac{1}{11}\right)$
$\chi_{7260}(3511,\cdot)$	$1$	$1$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{101}{110}\right)$	$e\left(\frac{49}{110}\right)$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{17}{110}\right)$	$e\left(\frac{31}{110}\right)$	$e\left(\frac{21}{55}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{8}{11}\right)$
$\chi_{7260}(3571,\cdot)$	$1$	$1$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{83}{110}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{19}{22}\right)$	$e\left(\frac{49}{110}\right)$	$e\left(\frac{57}{110}\right)$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{21}{110}\right)$	$e\left(\frac{3}{11}\right)$
$\chi_{7260}(3691,\cdot)$	$1$	$1$	$e\left(\frac{24}{55}\right)$	$e\left(\frac{9}{110}\right)$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{19}{22}\right)$	$e\left(\frac{93}{110}\right)$	$e\left(\frac{79}{110}\right)$	$e\left(\frac{34}{55}\right)$	$e\left(\frac{87}{110}\right)$	$e\left(\frac{3}{11}\right)$
$\chi_{7260}(4171,\cdot)$	$1$	$1$	$e\left(\frac{21}{55}\right)$	$e\left(\frac{1}{110}\right)$	$e\left(\frac{19}{110}\right)$	$e\left(\frac{29}{55}\right)$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{47}{110}\right)$	$e\left(\frac{21}{110}\right)$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{83}{110}\right)$	$e\left(\frac{4}{11}\right)$
$\chi_{7260}(4231,\cdot)$	$1$	$1$	$e\left(\frac{7}{55}\right)$	$e\left(\frac{37}{110}\right)$	$e\left(\frac{43}{110}\right)$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{89}{110}\right)$	$e\left(\frac{7}{110}\right)$	$e\left(\frac{42}{55}\right)$	$e\left(\frac{101}{110}\right)$	$e\left(\frac{5}{11}\right)$
$\chi_{7260}(4351,\cdot)$	$1$	$1$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{49}{110}\right)$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{46}{55}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{103}{110}\right)$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{107}{110}\right)$	$e\left(\frac{9}{11}\right)$
$\chi_{7260}(4771,\cdot)$	$1$	$1$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{63}{110}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{1}{22}\right)$	$e\left(\frac{101}{110}\right)$	$e\left(\frac{3}{110}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{59}{110}\right)$	$e\left(\frac{10}{11}\right)$
$\chi_{7260}(4891,\cdot)$	$1$	$1$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{87}{110}\right)$	$e\left(\frac{3}{110}\right)$	$e\left(\frac{48}{55}\right)$	$e\left(\frac{15}{22}\right)$	$e\left(\frac{19}{110}\right)$	$e\left(\frac{67}{110}\right)$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{71}{110}\right)$	$e\left(\frac{7}{11}\right)$
$\chi_{7260}(5011,\cdot)$	$1$	$1$	$e\left(\frac{54}{55}\right)$	$e\left(\frac{89}{110}\right)$	$e\left(\frac{41}{110}\right)$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{3}{110}\right)$	$e\left(\frac{109}{110}\right)$	$e\left(\frac{49}{55}\right)$	$e\left(\frac{17}{110}\right)$	$e\left(\frac{4}{11}\right)$
$\chi_{7260}(5431,\cdot)$	$1$	$1$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{93}{110}\right)$	$e\left(\frac{7}{110}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{83}{110}\right)$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{19}{110}\right)$	$e\left(\frac{9}{11}\right)$

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	\(-1\)	\(1\)	\(7\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)
\(\chi_{7260}(151,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{48}{55}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{67}{110}\right)\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{21}{110}\right)\)	\(e\left(\frac{103}{110}\right)\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{9}{110}\right)\)	\(e\left(\frac{6}{11}\right)\)
\(\chi_{7260}(211,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{51}{110}\right)\)	\(e\left(\frac{89}{110}\right)\)	\(e\left(\frac{49}{55}\right)\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{87}{110}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{46}{55}\right)\)	\(e\left(\frac{53}{110}\right)\)	\(e\left(\frac{6}{11}\right)\)
\(\chi_{7260}(271,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{67}{110}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{87}{110}\right)\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{61}{110}\right)\)	\(e\left(\frac{4}{11}\right)\)
\(\chi_{7260}(391,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{4}{55}\right)\)	\(e\left(\frac{29}{110}\right)\)	\(e\left(\frac{1}{110}\right)\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{59}{110}\right)\)	\(e\left(\frac{24}{55}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{6}{11}\right)\)
\(\chi_{7260}(811,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{103}{110}\right)\)	\(e\left(\frac{87}{110}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{1}{110}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{79}{110}\right)\)	\(e\left(\frac{5}{11}\right)\)
\(\chi_{7260}(871,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{61}{110}\right)\)	\(e\left(\frac{59}{110}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{9}{22}\right)\)	\(e\left(\frac{7}{110}\right)\)	\(e\left(\frac{71}{110}\right)\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{3}{110}\right)\)	\(e\left(\frac{2}{11}\right)\)
\(\chi_{7260}(931,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{7}{110}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{38}{55}\right)\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{37}{110}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{31}{110}\right)\)	\(e\left(\frac{6}{11}\right)\)
\(\chi_{7260}(1051,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{19}{55}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{21}{55}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{53}{110}\right)\)	\(e\left(\frac{19}{110}\right)\)	\(e\left(\frac{4}{55}\right)\)	\(e\left(\frac{7}{110}\right)\)	\(e\left(\frac{1}{11}\right)\)
\(\chi_{7260}(1471,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{107}{110}\right)\)	\(e\left(\frac{7}{55}\right)\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{91}{110}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{38}{55}\right)\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{4}{11}\right)\)
\(\chi_{7260}(1531,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{71}{110}\right)\)	\(e\left(\frac{29}{110}\right)\)	\(e\left(\frac{24}{55}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{37}{110}\right)\)	\(e\left(\frac{61}{110}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{9}{11}\right)\)
\(\chi_{7260}(1591,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{42}{55}\right)\)	\(e\left(\frac{57}{110}\right)\)	\(e\left(\frac{93}{110}\right)\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{3}{22}\right)\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{1}{110}\right)\)	\(e\left(\frac{8}{11}\right)\)
\(\chi_{7260}(1711,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{34}{55}\right)\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{91}{110}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{15}{22}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{89}{110}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{27}{110}\right)\)	\(e\left(\frac{7}{11}\right)\)
\(\chi_{7260}(2131,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{53}{110}\right)\)	\(e\left(\frac{17}{110}\right)\)	\(e\left(\frac{52}{55}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{71}{110}\right)\)	\(e\left(\frac{13}{110}\right)\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{3}{11}\right)\)
\(\chi_{7260}(2191,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{67}{110}\right)\)	\(e\left(\frac{51}{110}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{13}{110}\right)\)	\(e\left(\frac{5}{11}\right)\)
\(\chi_{7260}(2251,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{107}{110}\right)\)	\(e\left(\frac{53}{110}\right)\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{1}{22}\right)\)	\(e\left(\frac{79}{110}\right)\)	\(e\left(\frac{47}{110}\right)\)	\(e\left(\frac{7}{55}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{10}{11}\right)\)
\(\chi_{7260}(2371,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{49}{55}\right)\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{9}{22}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{49}{110}\right)\)	\(e\left(\frac{19}{55}\right)\)	\(e\left(\frac{47}{110}\right)\)	\(e\left(\frac{2}{11}\right)\)
\(\chi_{7260}(2791,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{38}{55}\right)\)	\(e\left(\frac{83}{110}\right)\)	\(e\left(\frac{37}{110}\right)\)	\(e\left(\frac{42}{55}\right)\)	\(e\left(\frac{9}{22}\right)\)	\(e\left(\frac{51}{110}\right)\)	\(e\left(\frac{93}{110}\right)\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{2}{11}\right)\)
\(\chi_{7260}(2851,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{91}{110}\right)\)	\(e\left(\frac{79}{110}\right)\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{41}{110}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{1}{11}\right)\)
\(\chi_{7260}(2911,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{52}{55}\right)\)	\(e\left(\frac{47}{110}\right)\)	\(e\left(\frac{13}{110}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{9}{110}\right)\)	\(e\left(\frac{107}{110}\right)\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{51}{110}\right)\)	\(e\left(\frac{1}{11}\right)\)
\(\chi_{7260}(3031,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{79}{110}\right)\)	\(e\left(\frac{71}{110}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{3}{22}\right)\)	\(e\left(\frac{83}{110}\right)\)	\(e\left(\frac{9}{110}\right)\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{67}{110}\right)\)	\(e\left(\frac{8}{11}\right)\)
\(\chi_{7260}(3451,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{3}{110}\right)\)	\(e\left(\frac{57}{110}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{31}{110}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{48}{55}\right)\)	\(e\left(\frac{29}{110}\right)\)	\(e\left(\frac{1}{11}\right)\)
\(\chi_{7260}(3511,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{49}{110}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{3}{22}\right)\)	\(e\left(\frac{17}{110}\right)\)	\(e\left(\frac{31}{110}\right)\)	\(e\left(\frac{21}{55}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{8}{11}\right)\)
\(\chi_{7260}(3571,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{83}{110}\right)\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{49}{110}\right)\)	\(e\left(\frac{57}{110}\right)\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{21}{110}\right)\)	\(e\left(\frac{3}{11}\right)\)
\(\chi_{7260}(3691,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{24}{55}\right)\)	\(e\left(\frac{9}{110}\right)\)	\(e\left(\frac{61}{110}\right)\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{93}{110}\right)\)	\(e\left(\frac{79}{110}\right)\)	\(e\left(\frac{34}{55}\right)\)	\(e\left(\frac{87}{110}\right)\)	\(e\left(\frac{3}{11}\right)\)
\(\chi_{7260}(4171,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{21}{55}\right)\)	\(e\left(\frac{1}{110}\right)\)	\(e\left(\frac{19}{110}\right)\)	\(e\left(\frac{29}{55}\right)\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{47}{110}\right)\)	\(e\left(\frac{21}{110}\right)\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{83}{110}\right)\)	\(e\left(\frac{4}{11}\right)\)
\(\chi_{7260}(4231,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{7}{55}\right)\)	\(e\left(\frac{37}{110}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{28}{55}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{89}{110}\right)\)	\(e\left(\frac{7}{110}\right)\)	\(e\left(\frac{42}{55}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{5}{11}\right)\)
\(\chi_{7260}(4351,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{49}{110}\right)\)	\(e\left(\frac{51}{110}\right)\)	\(e\left(\frac{46}{55}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{103}{110}\right)\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{107}{110}\right)\)	\(e\left(\frac{9}{11}\right)\)
\(\chi_{7260}(4771,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{1}{22}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{3}{110}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{59}{110}\right)\)	\(e\left(\frac{10}{11}\right)\)
\(\chi_{7260}(4891,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{87}{110}\right)\)	\(e\left(\frac{3}{110}\right)\)	\(e\left(\frac{48}{55}\right)\)	\(e\left(\frac{15}{22}\right)\)	\(e\left(\frac{19}{110}\right)\)	\(e\left(\frac{67}{110}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{71}{110}\right)\)	\(e\left(\frac{7}{11}\right)\)
\(\chi_{7260}(5011,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{89}{110}\right)\)	\(e\left(\frac{41}{110}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{3}{110}\right)\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{49}{55}\right)\)	\(e\left(\frac{17}{110}\right)\)	\(e\left(\frac{4}{11}\right)\)
\(\chi_{7260}(5431,\cdot)\)	\(1\)	\(1\)	\(e\left(\frac{28}{55}\right)\)	\(e\left(\frac{93}{110}\right)\)	\(e\left(\frac{7}{110}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{83}{110}\right)\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{19}{110}\right)\)	\(e\left(\frac{9}{11}\right)\)

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more

Basic properties

Related number fields

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	7260.de
Modulus	$7260$
Conductor	$484$
Order	$110$
Real	no
Primitive	no
Minimal	yes
Parity	even

Modulus:	\(7260\)
Conductor:	\(484\)	sage:chi.conductor() pari:znconreyconductor(g,chi)
Order:	\(110\)	sage:chi.multiplicative_order() pari:charorder(g,chi)
Real:	no
Primitive:	no, induced from 484.p	sage:chi.is_primitive() pari:#znconreyconductor(g,chi)==1
Minimal:	yes
Parity:	even	sage:chi.is_odd() pari:zncharisodd(g,chi)