LMFDB - Dirichlet character orbit 1060.bh

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(1060, base_ring=CyclotomicField(52)) M = H._module chi = DirichletCharacter(H, M([0,39,24])) chi.galois_orbit()

pari:[g,chi] = znchar(Mod(13,1060)) order = charorder(g,chi) [ charpow(g,chi, k % order) | k <-[1..order-1], gcd(k,order)==1 ]

Basic properties

Modulus:	$1060$
Conductor:	$265$	sage:chi.conductor() pari:znconreyconductor(g,chi)
Order:	$52$	sage:chi.multiplicative_order() pari:charorder(g,chi)
Real:	no
Primitive:	no, induced from 265.q	sage:chi.is_primitive() pari:#znconreyconductor(g,chi)==1
Minimal:	yes
Parity:	odd	sage:chi.is_odd() pari:zncharisodd(g,chi)

Related number fields

Field of values:	$\Q(\zeta_{52})$
Fixed field:	Number field defined by a degree 52 polynomial

Characters in Galois orbit

Character	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$19$	$21$	$23$	$27$
$\chi_{1060}(13,\cdot)$	$-1$	$1$	$e\left(\frac{5}{52}\right)$	$e\left(\frac{11}{52}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{10}{13}\right)$	$e\left(\frac{17}{52}\right)$	$e\left(\frac{19}{52}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{4}{13}\right)$	$i$	$e\left(\frac{15}{52}\right)$
$\chi_{1060}(77,\cdot)$	$-1$	$1$	$e\left(\frac{15}{52}\right)$	$e\left(\frac{33}{52}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{51}{52}\right)$	$e\left(\frac{5}{52}\right)$	$e\left(\frac{19}{26}\right)$	$e\left(\frac{12}{13}\right)$	$-i$	$e\left(\frac{45}{52}\right)$
$\chi_{1060}(97,\cdot)$	$-1$	$1$	$e\left(\frac{19}{52}\right)$	$e\left(\frac{21}{52}\right)$	$e\left(\frac{19}{26}\right)$	$e\left(\frac{12}{13}\right)$	$e\left(\frac{23}{52}\right)$	$e\left(\frac{41}{52}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{10}{13}\right)$	$-i$	$e\left(\frac{5}{52}\right)$
$\chi_{1060}(153,\cdot)$	$-1$	$1$	$e\left(\frac{33}{52}\right)$	$e\left(\frac{31}{52}\right)$	$e\left(\frac{7}{26}\right)$	$e\left(\frac{1}{13}\right)$	$e\left(\frac{29}{52}\right)$	$e\left(\frac{11}{52}\right)$	$e\left(\frac{21}{26}\right)$	$e\left(\frac{3}{13}\right)$	$i$	$e\left(\frac{47}{52}\right)$
$\chi_{1060}(293,\cdot)$	$-1$	$1$	$e\left(\frac{25}{52}\right)$	$e\left(\frac{3}{52}\right)$	$e\left(\frac{25}{26}\right)$	$e\left(\frac{11}{13}\right)$	$e\left(\frac{33}{52}\right)$	$e\left(\frac{43}{52}\right)$	$e\left(\frac{23}{26}\right)$	$e\left(\frac{7}{13}\right)$	$i$	$e\left(\frac{23}{52}\right)$
$\chi_{1060}(333,\cdot)$	$-1$	$1$	$e\left(\frac{9}{52}\right)$	$e\left(\frac{51}{52}\right)$	$e\left(\frac{9}{26}\right)$	$e\left(\frac{5}{13}\right)$	$e\left(\frac{41}{52}\right)$	$e\left(\frac{3}{52}\right)$	$e\left(\frac{1}{26}\right)$	$e\left(\frac{2}{13}\right)$	$i$	$e\left(\frac{27}{52}\right)$
$\chi_{1060}(413,\cdot)$	$-1$	$1$	$e\left(\frac{37}{52}\right)$	$e\left(\frac{19}{52}\right)$	$e\left(\frac{11}{26}\right)$	$e\left(\frac{9}{13}\right)$	$e\left(\frac{1}{52}\right)$	$e\left(\frac{47}{52}\right)$	$e\left(\frac{7}{26}\right)$	$e\left(\frac{1}{13}\right)$	$i$	$e\left(\frac{7}{52}\right)$
$\chi_{1060}(417,\cdot)$	$-1$	$1$	$e\left(\frac{43}{52}\right)$	$e\left(\frac{1}{52}\right)$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{8}{13}\right)$	$e\left(\frac{11}{52}\right)$	$e\left(\frac{49}{52}\right)$	$e\left(\frac{25}{26}\right)$	$e\left(\frac{11}{13}\right)$	$-i$	$e\left(\frac{25}{52}\right)$
$\chi_{1060}(437,\cdot)$	$-1$	$1$	$e\left(\frac{31}{52}\right)$	$e\left(\frac{37}{52}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{10}{13}\right)$	$e\left(\frac{43}{52}\right)$	$e\left(\frac{45}{52}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{4}{13}\right)$	$-i$	$e\left(\frac{41}{52}\right)$
$\chi_{1060}(473,\cdot)$	$-1$	$1$	$e\left(\frac{21}{52}\right)$	$e\left(\frac{15}{52}\right)$	$e\left(\frac{21}{26}\right)$	$e\left(\frac{3}{13}\right)$	$e\left(\frac{9}{52}\right)$	$e\left(\frac{7}{52}\right)$	$e\left(\frac{11}{26}\right)$	$e\left(\frac{9}{13}\right)$	$i$	$e\left(\frac{11}{52}\right)$
$\chi_{1060}(493,\cdot)$	$-1$	$1$	$e\left(\frac{29}{52}\right)$	$e\left(\frac{43}{52}\right)$	$e\left(\frac{3}{26}\right)$	$e\left(\frac{6}{13}\right)$	$e\left(\frac{5}{52}\right)$	$e\left(\frac{27}{52}\right)$	$e\left(\frac{9}{26}\right)$	$e\left(\frac{5}{13}\right)$	$i$	$e\left(\frac{35}{52}\right)$
$\chi_{1060}(513,\cdot)$	$-1$	$1$	$e\left(\frac{1}{52}\right)$	$e\left(\frac{23}{52}\right)$	$e\left(\frac{1}{26}\right)$	$e\left(\frac{2}{13}\right)$	$e\left(\frac{45}{52}\right)$	$e\left(\frac{35}{52}\right)$	$e\left(\frac{3}{26}\right)$	$e\left(\frac{6}{13}\right)$	$i$	$e\left(\frac{3}{52}\right)$
$\chi_{1060}(577,\cdot)$	$-1$	$1$	$e\left(\frac{7}{52}\right)$	$e\left(\frac{5}{52}\right)$	$e\left(\frac{7}{26}\right)$	$e\left(\frac{1}{13}\right)$	$e\left(\frac{3}{52}\right)$	$e\left(\frac{37}{52}\right)$	$e\left(\frac{21}{26}\right)$	$e\left(\frac{3}{13}\right)$	$-i$	$e\left(\frac{21}{52}\right)$
$\chi_{1060}(593,\cdot)$	$-1$	$1$	$e\left(\frac{49}{52}\right)$	$e\left(\frac{35}{52}\right)$	$e\left(\frac{23}{26}\right)$	$e\left(\frac{7}{13}\right)$	$e\left(\frac{21}{52}\right)$	$e\left(\frac{51}{52}\right)$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{8}{13}\right)$	$i$	$e\left(\frac{43}{52}\right)$
$\chi_{1060}(713,\cdot)$	$-1$	$1$	$e\left(\frac{41}{52}\right)$	$e\left(\frac{7}{52}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{25}{52}\right)$	$e\left(\frac{31}{52}\right)$	$e\left(\frac{19}{26}\right)$	$e\left(\frac{12}{13}\right)$	$i$	$e\left(\frac{19}{52}\right)$
$\chi_{1060}(717,\cdot)$	$-1$	$1$	$e\left(\frac{51}{52}\right)$	$e\left(\frac{29}{52}\right)$	$e\left(\frac{25}{26}\right)$	$e\left(\frac{11}{13}\right)$	$e\left(\frac{7}{52}\right)$	$e\left(\frac{17}{52}\right)$	$e\left(\frac{23}{26}\right)$	$e\left(\frac{7}{13}\right)$	$-i$	$e\left(\frac{49}{52}\right)$
$\chi_{1060}(733,\cdot)$	$-1$	$1$	$e\left(\frac{45}{52}\right)$	$e\left(\frac{47}{52}\right)$	$e\left(\frac{19}{26}\right)$	$e\left(\frac{12}{13}\right)$	$e\left(\frac{49}{52}\right)$	$e\left(\frac{15}{52}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{10}{13}\right)$	$i$	$e\left(\frac{31}{52}\right)$
$\chi_{1060}(757,\cdot)$	$-1$	$1$	$e\left(\frac{35}{52}\right)$	$e\left(\frac{25}{52}\right)$	$e\left(\frac{9}{26}\right)$	$e\left(\frac{5}{13}\right)$	$e\left(\frac{15}{52}\right)$	$e\left(\frac{29}{52}\right)$	$e\left(\frac{1}{26}\right)$	$e\left(\frac{2}{13}\right)$	$-i$	$e\left(\frac{1}{52}\right)$
$\chi_{1060}(837,\cdot)$	$-1$	$1$	$e\left(\frac{11}{52}\right)$	$e\left(\frac{45}{52}\right)$	$e\left(\frac{11}{26}\right)$	$e\left(\frac{9}{13}\right)$	$e\left(\frac{27}{52}\right)$	$e\left(\frac{21}{52}\right)$	$e\left(\frac{7}{26}\right)$	$e\left(\frac{1}{13}\right)$	$-i$	$e\left(\frac{33}{52}\right)$
$\chi_{1060}(897,\cdot)$	$-1$	$1$	$e\left(\frac{47}{52}\right)$	$e\left(\frac{41}{52}\right)$	$e\left(\frac{21}{26}\right)$	$e\left(\frac{3}{13}\right)$	$e\left(\frac{35}{52}\right)$	$e\left(\frac{33}{52}\right)$	$e\left(\frac{11}{26}\right)$	$e\left(\frac{9}{13}\right)$	$-i$	$e\left(\frac{37}{52}\right)$
$\chi_{1060}(917,\cdot)$	$-1$	$1$	$e\left(\frac{3}{52}\right)$	$e\left(\frac{17}{52}\right)$	$e\left(\frac{3}{26}\right)$	$e\left(\frac{6}{13}\right)$	$e\left(\frac{31}{52}\right)$	$e\left(\frac{1}{52}\right)$	$e\left(\frac{9}{26}\right)$	$e\left(\frac{5}{13}\right)$	$-i$	$e\left(\frac{9}{52}\right)$
$\chi_{1060}(937,\cdot)$	$-1$	$1$	$e\left(\frac{27}{52}\right)$	$e\left(\frac{49}{52}\right)$	$e\left(\frac{1}{26}\right)$	$e\left(\frac{2}{13}\right)$	$e\left(\frac{19}{52}\right)$	$e\left(\frac{9}{52}\right)$	$e\left(\frac{3}{26}\right)$	$e\left(\frac{6}{13}\right)$	$-i$	$e\left(\frac{29}{52}\right)$
$\chi_{1060}(1017,\cdot)$	$-1$	$1$	$e\left(\frac{23}{52}\right)$	$e\left(\frac{9}{52}\right)$	$e\left(\frac{23}{26}\right)$	$e\left(\frac{7}{13}\right)$	$e\left(\frac{47}{52}\right)$	$e\left(\frac{25}{52}\right)$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{8}{13}\right)$	$-i$	$e\left(\frac{17}{52}\right)$
$\chi_{1060}(1053,\cdot)$	$-1$	$1$	$e\left(\frac{17}{52}\right)$	$e\left(\frac{27}{52}\right)$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{8}{13}\right)$	$e\left(\frac{37}{52}\right)$	$e\left(\frac{23}{52}\right)$	$e\left(\frac{25}{26}\right)$	$e\left(\frac{11}{13}\right)$	$i$	$e\left(\frac{51}{52}\right)$

Overview	Random
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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	\(-1\)	\(1\)	\(3\)	\(7\)	\(9\)	\(11\)	\(13\)	\(17\)	\(19\)	\(21\)	\(23\)	\(27\)
\(\chi_{1060}(13,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{5}{52}\right)\)	\(e\left(\frac{11}{52}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(e\left(\frac{17}{52}\right)\)	\(e\left(\frac{19}{52}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(i\)	\(e\left(\frac{15}{52}\right)\)
\(\chi_{1060}(77,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{15}{52}\right)\)	\(e\left(\frac{33}{52}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{51}{52}\right)\)	\(e\left(\frac{5}{52}\right)\)	\(e\left(\frac{19}{26}\right)\)	\(e\left(\frac{12}{13}\right)\)	\(-i\)	\(e\left(\frac{45}{52}\right)\)
\(\chi_{1060}(97,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{19}{52}\right)\)	\(e\left(\frac{21}{52}\right)\)	\(e\left(\frac{19}{26}\right)\)	\(e\left(\frac{12}{13}\right)\)	\(e\left(\frac{23}{52}\right)\)	\(e\left(\frac{41}{52}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(-i\)	\(e\left(\frac{5}{52}\right)\)
\(\chi_{1060}(153,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{33}{52}\right)\)	\(e\left(\frac{31}{52}\right)\)	\(e\left(\frac{7}{26}\right)\)	\(e\left(\frac{1}{13}\right)\)	\(e\left(\frac{29}{52}\right)\)	\(e\left(\frac{11}{52}\right)\)	\(e\left(\frac{21}{26}\right)\)	\(e\left(\frac{3}{13}\right)\)	\(i\)	\(e\left(\frac{47}{52}\right)\)
\(\chi_{1060}(293,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{25}{52}\right)\)	\(e\left(\frac{3}{52}\right)\)	\(e\left(\frac{25}{26}\right)\)	\(e\left(\frac{11}{13}\right)\)	\(e\left(\frac{33}{52}\right)\)	\(e\left(\frac{43}{52}\right)\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{7}{13}\right)\)	\(i\)	\(e\left(\frac{23}{52}\right)\)
\(\chi_{1060}(333,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{51}{52}\right)\)	\(e\left(\frac{9}{26}\right)\)	\(e\left(\frac{5}{13}\right)\)	\(e\left(\frac{41}{52}\right)\)	\(e\left(\frac{3}{52}\right)\)	\(e\left(\frac{1}{26}\right)\)	\(e\left(\frac{2}{13}\right)\)	\(i\)	\(e\left(\frac{27}{52}\right)\)
\(\chi_{1060}(413,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{37}{52}\right)\)	\(e\left(\frac{19}{52}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(e\left(\frac{9}{13}\right)\)	\(e\left(\frac{1}{52}\right)\)	\(e\left(\frac{47}{52}\right)\)	\(e\left(\frac{7}{26}\right)\)	\(e\left(\frac{1}{13}\right)\)	\(i\)	\(e\left(\frac{7}{52}\right)\)
\(\chi_{1060}(417,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{43}{52}\right)\)	\(e\left(\frac{1}{52}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{8}{13}\right)\)	\(e\left(\frac{11}{52}\right)\)	\(e\left(\frac{49}{52}\right)\)	\(e\left(\frac{25}{26}\right)\)	\(e\left(\frac{11}{13}\right)\)	\(-i\)	\(e\left(\frac{25}{52}\right)\)
\(\chi_{1060}(437,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{31}{52}\right)\)	\(e\left(\frac{37}{52}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(e\left(\frac{43}{52}\right)\)	\(e\left(\frac{45}{52}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(-i\)	\(e\left(\frac{41}{52}\right)\)
\(\chi_{1060}(473,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{21}{52}\right)\)	\(e\left(\frac{15}{52}\right)\)	\(e\left(\frac{21}{26}\right)\)	\(e\left(\frac{3}{13}\right)\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{7}{52}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(e\left(\frac{9}{13}\right)\)	\(i\)	\(e\left(\frac{11}{52}\right)\)
\(\chi_{1060}(493,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{29}{52}\right)\)	\(e\left(\frac{43}{52}\right)\)	\(e\left(\frac{3}{26}\right)\)	\(e\left(\frac{6}{13}\right)\)	\(e\left(\frac{5}{52}\right)\)	\(e\left(\frac{27}{52}\right)\)	\(e\left(\frac{9}{26}\right)\)	\(e\left(\frac{5}{13}\right)\)	\(i\)	\(e\left(\frac{35}{52}\right)\)
\(\chi_{1060}(513,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{1}{52}\right)\)	\(e\left(\frac{23}{52}\right)\)	\(e\left(\frac{1}{26}\right)\)	\(e\left(\frac{2}{13}\right)\)	\(e\left(\frac{45}{52}\right)\)	\(e\left(\frac{35}{52}\right)\)	\(e\left(\frac{3}{26}\right)\)	\(e\left(\frac{6}{13}\right)\)	\(i\)	\(e\left(\frac{3}{52}\right)\)
\(\chi_{1060}(577,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{7}{52}\right)\)	\(e\left(\frac{5}{52}\right)\)	\(e\left(\frac{7}{26}\right)\)	\(e\left(\frac{1}{13}\right)\)	\(e\left(\frac{3}{52}\right)\)	\(e\left(\frac{37}{52}\right)\)	\(e\left(\frac{21}{26}\right)\)	\(e\left(\frac{3}{13}\right)\)	\(-i\)	\(e\left(\frac{21}{52}\right)\)
\(\chi_{1060}(593,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{49}{52}\right)\)	\(e\left(\frac{35}{52}\right)\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{7}{13}\right)\)	\(e\left(\frac{21}{52}\right)\)	\(e\left(\frac{51}{52}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{8}{13}\right)\)	\(i\)	\(e\left(\frac{43}{52}\right)\)
\(\chi_{1060}(713,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{41}{52}\right)\)	\(e\left(\frac{7}{52}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{25}{52}\right)\)	\(e\left(\frac{31}{52}\right)\)	\(e\left(\frac{19}{26}\right)\)	\(e\left(\frac{12}{13}\right)\)	\(i\)	\(e\left(\frac{19}{52}\right)\)
\(\chi_{1060}(717,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{51}{52}\right)\)	\(e\left(\frac{29}{52}\right)\)	\(e\left(\frac{25}{26}\right)\)	\(e\left(\frac{11}{13}\right)\)	\(e\left(\frac{7}{52}\right)\)	\(e\left(\frac{17}{52}\right)\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{7}{13}\right)\)	\(-i\)	\(e\left(\frac{49}{52}\right)\)
\(\chi_{1060}(733,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{45}{52}\right)\)	\(e\left(\frac{47}{52}\right)\)	\(e\left(\frac{19}{26}\right)\)	\(e\left(\frac{12}{13}\right)\)	\(e\left(\frac{49}{52}\right)\)	\(e\left(\frac{15}{52}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(i\)	\(e\left(\frac{31}{52}\right)\)
\(\chi_{1060}(757,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{35}{52}\right)\)	\(e\left(\frac{25}{52}\right)\)	\(e\left(\frac{9}{26}\right)\)	\(e\left(\frac{5}{13}\right)\)	\(e\left(\frac{15}{52}\right)\)	\(e\left(\frac{29}{52}\right)\)	\(e\left(\frac{1}{26}\right)\)	\(e\left(\frac{2}{13}\right)\)	\(-i\)	\(e\left(\frac{1}{52}\right)\)
\(\chi_{1060}(837,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{11}{52}\right)\)	\(e\left(\frac{45}{52}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(e\left(\frac{9}{13}\right)\)	\(e\left(\frac{27}{52}\right)\)	\(e\left(\frac{21}{52}\right)\)	\(e\left(\frac{7}{26}\right)\)	\(e\left(\frac{1}{13}\right)\)	\(-i\)	\(e\left(\frac{33}{52}\right)\)
\(\chi_{1060}(897,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{47}{52}\right)\)	\(e\left(\frac{41}{52}\right)\)	\(e\left(\frac{21}{26}\right)\)	\(e\left(\frac{3}{13}\right)\)	\(e\left(\frac{35}{52}\right)\)	\(e\left(\frac{33}{52}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(e\left(\frac{9}{13}\right)\)	\(-i\)	\(e\left(\frac{37}{52}\right)\)
\(\chi_{1060}(917,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{3}{52}\right)\)	\(e\left(\frac{17}{52}\right)\)	\(e\left(\frac{3}{26}\right)\)	\(e\left(\frac{6}{13}\right)\)	\(e\left(\frac{31}{52}\right)\)	\(e\left(\frac{1}{52}\right)\)	\(e\left(\frac{9}{26}\right)\)	\(e\left(\frac{5}{13}\right)\)	\(-i\)	\(e\left(\frac{9}{52}\right)\)
\(\chi_{1060}(937,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{27}{52}\right)\)	\(e\left(\frac{49}{52}\right)\)	\(e\left(\frac{1}{26}\right)\)	\(e\left(\frac{2}{13}\right)\)	\(e\left(\frac{19}{52}\right)\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{3}{26}\right)\)	\(e\left(\frac{6}{13}\right)\)	\(-i\)	\(e\left(\frac{29}{52}\right)\)
\(\chi_{1060}(1017,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{23}{52}\right)\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{7}{13}\right)\)	\(e\left(\frac{47}{52}\right)\)	\(e\left(\frac{25}{52}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{8}{13}\right)\)	\(-i\)	\(e\left(\frac{17}{52}\right)\)
\(\chi_{1060}(1053,\cdot)\)	\(-1\)	\(1\)	\(e\left(\frac{17}{52}\right)\)	\(e\left(\frac{27}{52}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{8}{13}\right)\)	\(e\left(\frac{37}{52}\right)\)	\(e\left(\frac{23}{52}\right)\)	\(e\left(\frac{25}{26}\right)\)	\(e\left(\frac{11}{13}\right)\)	\(i\)	\(e\left(\frac{51}{52}\right)\)

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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	1060.bh
Modulus	$1060$
Conductor	$265$
Order	$52$
Real	no
Primitive	no
Minimal	yes
Parity	odd

Modulus:	\(1060\)
Conductor:	\(265\)	sage:chi.conductor() pari:znconreyconductor(g,chi)
Order:	\(52\)	sage:chi.multiplicative_order() pari:charorder(g,chi)
Real:	no
Primitive:	no, induced from 265.q	sage:chi.is_primitive() pari:#znconreyconductor(g,chi)==1
Minimal:	yes
Parity:	odd	sage:chi.is_odd() pari:zncharisodd(g,chi)