LMFDB - Group of Dirichlet characters of modulus 1060

sage:H = DirichletGroup(1060)

pari:g = idealstar(,1060,2)

Character group

sage:G.order() pari:g.no
Order	=	416
sage:H.invariants() pari:g.cyc
Structure	=	$C_{2}\times C_{4}\times C_{52}$
sage:H.gens() pari:g.gen
Generators	=	$\chi_{1060}(531,\cdot)$, $\chi_{1060}(637,\cdot)$, $\chi_{1060}(161,\cdot)$

First 32 of 416 characters

Each row describes a character. When available, the columns show the orbit label, order of the character, whether the character is primitive, and several values of the character.

Character	Orbit	Order	Primitive	$-1$	$1$	$3$	$7$	$9$	$11$	$13$	$17$	$19$	$21$	$23$	$27$
$\chi_{1060}(1,\cdot)$	1060.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{1060}(3,\cdot)$	1060.bc	52	yes	$-1$	$1$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{43}{52}\right)$	$e\left(\frac{8}{13}\right)$	$e\left(\frac{6}{13}\right)$	$e\left(\frac{5}{52}\right)$	$e\left(\frac{1}{52}\right)$	$e\left(\frac{5}{52}\right)$	$e\left(\frac{7}{52}\right)$	$-1$	$e\left(\frac{12}{13}\right)$
$\chi_{1060}(7,\cdot)$	1060.bj	52	yes	$1$	$1$	$e\left(\frac{43}{52}\right)$	$e\left(\frac{27}{52}\right)$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{3}{26}\right)$	$e\left(\frac{11}{52}\right)$	$e\left(\frac{49}{52}\right)$	$e\left(\frac{25}{26}\right)$	$e\left(\frac{9}{26}\right)$	$-i$	$e\left(\frac{25}{52}\right)$
$\chi_{1060}(9,\cdot)$	1060.w	26	no	$1$	$1$	$e\left(\frac{8}{13}\right)$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{3}{13}\right)$	$e\left(\frac{12}{13}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{1}{26}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{7}{26}\right)$	$1$	$e\left(\frac{11}{13}\right)$
$\chi_{1060}(11,\cdot)$	1060.x	26	no	$-1$	$1$	$e\left(\frac{6}{13}\right)$	$e\left(\frac{3}{26}\right)$	$e\left(\frac{12}{13}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{10}{13}\right)$	$e\left(\frac{2}{13}\right)$	$e\left(\frac{10}{13}\right)$	$e\left(\frac{15}{26}\right)$	$1$	$e\left(\frac{5}{13}\right)$
$\chi_{1060}(13,\cdot)$	1060.bh	52	no	$-1$	$1$	$e\left(\frac{5}{52}\right)$	$e\left(\frac{11}{52}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{10}{13}\right)$	$e\left(\frac{17}{52}\right)$	$e\left(\frac{19}{52}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{4}{13}\right)$	$i$	$e\left(\frac{15}{52}\right)$
$\chi_{1060}(17,\cdot)$	1060.bg	52	no	$-1$	$1$	$e\left(\frac{1}{52}\right)$	$e\left(\frac{49}{52}\right)$	$e\left(\frac{1}{26}\right)$	$e\left(\frac{2}{13}\right)$	$e\left(\frac{19}{52}\right)$	$e\left(\frac{9}{52}\right)$	$e\left(\frac{8}{13}\right)$	$e\left(\frac{25}{26}\right)$	$i$	$e\left(\frac{3}{52}\right)$
$\chi_{1060}(19,\cdot)$	1060.bk	52	yes	$1$	$1$	$e\left(\frac{5}{52}\right)$	$e\left(\frac{25}{26}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{10}{13}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{8}{13}\right)$	$e\left(\frac{43}{52}\right)$	$e\left(\frac{3}{52}\right)$	$-i$	$e\left(\frac{15}{52}\right)$
$\chi_{1060}(21,\cdot)$	1060.bl	52	no	$-1$	$1$	$e\left(\frac{7}{52}\right)$	$e\left(\frac{9}{26}\right)$	$e\left(\frac{7}{26}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{25}{26}\right)$	$e\left(\frac{3}{52}\right)$	$e\left(\frac{25}{52}\right)$	$i$	$e\left(\frac{21}{52}\right)$
$\chi_{1060}(23,\cdot)$	1060.j	4	yes	$-1$	$1$	$-1$	$-i$	$1$	$1$	$i$	$i$	$-i$	$i$	$1$	$-1$
$\chi_{1060}(27,\cdot)$	1060.bc	52	yes	$-1$	$1$	$e\left(\frac{12}{13}\right)$	$e\left(\frac{25}{52}\right)$	$e\left(\frac{11}{13}\right)$	$e\left(\frac{5}{13}\right)$	$e\left(\frac{15}{52}\right)$	$e\left(\frac{3}{52}\right)$	$e\left(\frac{15}{52}\right)$	$e\left(\frac{21}{52}\right)$	$-1$	$e\left(\frac{10}{13}\right)$
$\chi_{1060}(29,\cdot)$	1060.w	26	no	$1$	$1$	$e\left(\frac{7}{13}\right)$	$e\left(\frac{23}{26}\right)$	$e\left(\frac{1}{13}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{19}{26}\right)$	$e\left(\frac{9}{26}\right)$	$e\left(\frac{19}{26}\right)$	$e\left(\frac{11}{26}\right)$	$1$	$e\left(\frac{8}{13}\right)$
$\chi_{1060}(31,\cdot)$	1060.be	52	no	$1$	$1$	$e\left(\frac{15}{52}\right)$	$e\left(\frac{5}{13}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{3}{13}\right)$	$e\left(\frac{9}{26}\right)$	$e\left(\frac{51}{52}\right)$	$e\left(\frac{35}{52}\right)$	$i$	$e\left(\frac{45}{52}\right)$
$\chi_{1060}(33,\cdot)$	1060.bd	52	no	$1$	$1$	$e\left(\frac{10}{13}\right)$	$e\left(\frac{49}{52}\right)$	$e\left(\frac{7}{13}\right)$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{45}{52}\right)$	$e\left(\frac{9}{52}\right)$	$e\left(\frac{45}{52}\right)$	$e\left(\frac{37}{52}\right)$	$-1$	$e\left(\frac{4}{13}\right)$
$\chi_{1060}(37,\cdot)$	1060.bg	52	no	$-1$	$1$	$e\left(\frac{29}{52}\right)$	$e\left(\frac{17}{52}\right)$	$e\left(\frac{3}{26}\right)$	$e\left(\frac{6}{13}\right)$	$e\left(\frac{31}{52}\right)$	$e\left(\frac{1}{52}\right)$	$e\left(\frac{11}{13}\right)$	$e\left(\frac{23}{26}\right)$	$i$	$e\left(\frac{35}{52}\right)$
$\chi_{1060}(39,\cdot)$	1060.bk	52	yes	$1$	$1$	$e\left(\frac{21}{52}\right)$	$e\left(\frac{1}{26}\right)$	$e\left(\frac{21}{26}\right)$	$e\left(\frac{3}{13}\right)$	$e\left(\frac{11}{26}\right)$	$e\left(\frac{5}{13}\right)$	$e\left(\frac{35}{52}\right)$	$e\left(\frac{23}{52}\right)$	$-i$	$e\left(\frac{11}{52}\right)$
$\chi_{1060}(41,\cdot)$	1060.bl	52	no	$-1$	$1$	$e\left(\frac{37}{52}\right)$	$e\left(\frac{3}{26}\right)$	$e\left(\frac{11}{26}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{10}{13}\right)$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{1}{52}\right)$	$e\left(\frac{43}{52}\right)$	$-i$	$e\left(\frac{7}{52}\right)$
$\chi_{1060}(43,\cdot)$	1060.bj	52	yes	$1$	$1$	$e\left(\frac{49}{52}\right)$	$e\left(\frac{9}{52}\right)$	$e\left(\frac{23}{26}\right)$	$e\left(\frac{1}{26}\right)$	$e\left(\frac{21}{52}\right)$	$e\left(\frac{51}{52}\right)$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{3}{26}\right)$	$i$	$e\left(\frac{43}{52}\right)$
$\chi_{1060}(47,\cdot)$	1060.bi	52	yes	$1$	$1$	$e\left(\frac{33}{52}\right)$	$e\left(\frac{31}{52}\right)$	$e\left(\frac{7}{26}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{3}{52}\right)$	$e\left(\frac{37}{52}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{3}{13}\right)$	$i$	$e\left(\frac{47}{52}\right)$
$\chi_{1060}(49,\cdot)$	1060.ba	26	no	$1$	$1$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{1}{26}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{3}{13}\right)$	$e\left(\frac{11}{26}\right)$	$e\left(\frac{23}{26}\right)$	$e\left(\frac{12}{13}\right)$	$e\left(\frac{9}{13}\right)$	$-1$	$e\left(\frac{25}{26}\right)$
$\chi_{1060}(51,\cdot)$	1060.be	52	no	$1$	$1$	$e\left(\frac{17}{52}\right)$	$e\left(\frac{10}{13}\right)$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{8}{13}\right)$	$e\left(\frac{6}{13}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{37}{52}\right)$	$e\left(\frac{5}{52}\right)$	$-i$	$e\left(\frac{51}{52}\right)$
$\chi_{1060}(57,\cdot)$	1060.bg	52	no	$-1$	$1$	$e\left(\frac{21}{52}\right)$	$e\left(\frac{41}{52}\right)$	$e\left(\frac{21}{26}\right)$	$e\left(\frac{3}{13}\right)$	$e\left(\frac{35}{52}\right)$	$e\left(\frac{33}{52}\right)$	$e\left(\frac{12}{13}\right)$	$e\left(\frac{5}{26}\right)$	$i$	$e\left(\frac{11}{52}\right)$
$\chi_{1060}(59,\cdot)$	1060.z	26	yes	$-1$	$1$	$e\left(\frac{23}{26}\right)$	$e\left(\frac{11}{13}\right)$	$e\left(\frac{10}{13}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{21}{26}\right)$	$e\left(\frac{25}{26}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{19}{26}\right)$	$-1$	$e\left(\frac{17}{26}\right)$
$\chi_{1060}(61,\cdot)$	1060.bl	52	no	$-1$	$1$	$e\left(\frac{51}{52}\right)$	$e\left(\frac{21}{26}\right)$	$e\left(\frac{25}{26}\right)$	$e\left(\frac{9}{26}\right)$	$e\left(\frac{5}{13}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{7}{52}\right)$	$e\left(\frac{41}{52}\right)$	$i$	$e\left(\frac{49}{52}\right)$
$\chi_{1060}(63,\cdot)$	1060.bi	52	yes	$1$	$1$	$e\left(\frac{23}{52}\right)$	$e\left(\frac{9}{52}\right)$	$e\left(\frac{23}{26}\right)$	$e\left(\frac{1}{26}\right)$	$e\left(\frac{21}{52}\right)$	$e\left(\frac{51}{52}\right)$	$e\left(\frac{2}{13}\right)$	$e\left(\frac{8}{13}\right)$	$-i$	$e\left(\frac{17}{52}\right)$
$\chi_{1060}(67,\cdot)$	1060.bc	52	yes	$-1$	$1$	$e\left(\frac{2}{13}\right)$	$e\left(\frac{41}{52}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{3}{13}\right)$	$e\left(\frac{35}{52}\right)$	$e\left(\frac{7}{52}\right)$	$e\left(\frac{35}{52}\right)$	$e\left(\frac{49}{52}\right)$	$-1$	$e\left(\frac{6}{13}\right)$
$\chi_{1060}(69,\cdot)$	1060.ba	26	no	$1$	$1$	$e\left(\frac{21}{26}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{8}{13}\right)$	$e\left(\frac{6}{13}\right)$	$e\left(\frac{9}{26}\right)$	$e\left(\frac{7}{26}\right)$	$e\left(\frac{11}{13}\right)$	$e\left(\frac{5}{13}\right)$	$-1$	$e\left(\frac{11}{26}\right)$
$\chi_{1060}(71,\cdot)$	1060.be	52	no	$1$	$1$	$e\left(\frac{49}{52}\right)$	$e\left(\frac{12}{13}\right)$	$e\left(\frac{23}{26}\right)$	$e\left(\frac{7}{13}\right)$	$e\left(\frac{2}{13}\right)$	$e\left(\frac{19}{26}\right)$	$e\left(\frac{21}{52}\right)$	$e\left(\frac{45}{52}\right)$	$-i$	$e\left(\frac{43}{52}\right)$
$\chi_{1060}(73,\cdot)$	1060.bn	52	no	$1$	$1$	$e\left(\frac{7}{26}\right)$	$e\left(\frac{49}{52}\right)$	$e\left(\frac{7}{13}\right)$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{45}{52}\right)$	$e\left(\frac{9}{52}\right)$	$e\left(\frac{19}{52}\right)$	$e\left(\frac{11}{52}\right)$	$1$	$e\left(\frac{21}{26}\right)$
$\chi_{1060}(77,\cdot)$	1060.bh	52	no	$-1$	$1$	$e\left(\frac{15}{52}\right)$	$e\left(\frac{33}{52}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{51}{52}\right)$	$e\left(\frac{5}{52}\right)$	$e\left(\frac{19}{26}\right)$	$e\left(\frac{12}{13}\right)$	$-i$	$e\left(\frac{45}{52}\right)$
$\chi_{1060}(79,\cdot)$	1060.bk	52	yes	$1$	$1$	$e\left(\frac{9}{52}\right)$	$e\left(\frac{19}{26}\right)$	$e\left(\frac{9}{26}\right)$	$e\left(\frac{5}{13}\right)$	$e\left(\frac{1}{26}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{15}{52}\right)$	$e\left(\frac{47}{52}\right)$	$-i$	$e\left(\frac{27}{52}\right)$
$\chi_{1060}(81,\cdot)$	1060.u	13	no	$1$	$1$	$e\left(\frac{3}{13}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{6}{13}\right)$	$e\left(\frac{11}{13}\right)$	$e\left(\frac{5}{13}\right)$	$e\left(\frac{1}{13}\right)$	$e\left(\frac{5}{13}\right)$	$e\left(\frac{7}{13}\right)$	$1$	$e\left(\frac{9}{13}\right)$

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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

Modulus	$1060$
Structure	\(C_{2}\times C_{4}\times C_{52}\)
Order	$416$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(3\)	\(7\)	\(9\)	\(11\)	\(13\)	\(17\)	\(19\)	\(21\)	\(23\)	\(27\)
\(\chi_{1060}(1,\cdot)\)	1060.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{1060}(3,\cdot)\)	1060.bc	52	yes	\(-1\)	\(1\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{43}{52}\right)\)	\(e\left(\frac{8}{13}\right)\)	\(e\left(\frac{6}{13}\right)\)	\(e\left(\frac{5}{52}\right)\)	\(e\left(\frac{1}{52}\right)\)	\(e\left(\frac{5}{52}\right)\)	\(e\left(\frac{7}{52}\right)\)	\(-1\)	\(e\left(\frac{12}{13}\right)\)
\(\chi_{1060}(7,\cdot)\)	1060.bj	52	yes	\(1\)	\(1\)	\(e\left(\frac{43}{52}\right)\)	\(e\left(\frac{27}{52}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{3}{26}\right)\)	\(e\left(\frac{11}{52}\right)\)	\(e\left(\frac{49}{52}\right)\)	\(e\left(\frac{25}{26}\right)\)	\(e\left(\frac{9}{26}\right)\)	\(-i\)	\(e\left(\frac{25}{52}\right)\)
\(\chi_{1060}(9,\cdot)\)	1060.w	26	no	\(1\)	\(1\)	\(e\left(\frac{8}{13}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{3}{13}\right)\)	\(e\left(\frac{12}{13}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{1}{26}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{7}{26}\right)\)	\(1\)	\(e\left(\frac{11}{13}\right)\)
\(\chi_{1060}(11,\cdot)\)	1060.x	26	no	\(-1\)	\(1\)	\(e\left(\frac{6}{13}\right)\)	\(e\left(\frac{3}{26}\right)\)	\(e\left(\frac{12}{13}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(e\left(\frac{2}{13}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(1\)	\(e\left(\frac{5}{13}\right)\)
\(\chi_{1060}(13,\cdot)\)	1060.bh	52	no	\(-1\)	\(1\)	\(e\left(\frac{5}{52}\right)\)	\(e\left(\frac{11}{52}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(e\left(\frac{17}{52}\right)\)	\(e\left(\frac{19}{52}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(i\)	\(e\left(\frac{15}{52}\right)\)
\(\chi_{1060}(17,\cdot)\)	1060.bg	52	no	\(-1\)	\(1\)	\(e\left(\frac{1}{52}\right)\)	\(e\left(\frac{49}{52}\right)\)	\(e\left(\frac{1}{26}\right)\)	\(e\left(\frac{2}{13}\right)\)	\(e\left(\frac{19}{52}\right)\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{8}{13}\right)\)	\(e\left(\frac{25}{26}\right)\)	\(i\)	\(e\left(\frac{3}{52}\right)\)
\(\chi_{1060}(19,\cdot)\)	1060.bk	52	yes	\(1\)	\(1\)	\(e\left(\frac{5}{52}\right)\)	\(e\left(\frac{25}{26}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{8}{13}\right)\)	\(e\left(\frac{43}{52}\right)\)	\(e\left(\frac{3}{52}\right)\)	\(-i\)	\(e\left(\frac{15}{52}\right)\)
\(\chi_{1060}(21,\cdot)\)	1060.bl	52	no	\(-1\)	\(1\)	\(e\left(\frac{7}{52}\right)\)	\(e\left(\frac{9}{26}\right)\)	\(e\left(\frac{7}{26}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{25}{26}\right)\)	\(e\left(\frac{3}{52}\right)\)	\(e\left(\frac{25}{52}\right)\)	\(i\)	\(e\left(\frac{21}{52}\right)\)
\(\chi_{1060}(23,\cdot)\)	1060.j	4	yes	\(-1\)	\(1\)	\(-1\)	\(-i\)	\(1\)	\(1\)	\(i\)	\(i\)	\(-i\)	\(i\)	\(1\)	\(-1\)
\(\chi_{1060}(27,\cdot)\)	1060.bc	52	yes	\(-1\)	\(1\)	\(e\left(\frac{12}{13}\right)\)	\(e\left(\frac{25}{52}\right)\)	\(e\left(\frac{11}{13}\right)\)	\(e\left(\frac{5}{13}\right)\)	\(e\left(\frac{15}{52}\right)\)	\(e\left(\frac{3}{52}\right)\)	\(e\left(\frac{15}{52}\right)\)	\(e\left(\frac{21}{52}\right)\)	\(-1\)	\(e\left(\frac{10}{13}\right)\)
\(\chi_{1060}(29,\cdot)\)	1060.w	26	no	\(1\)	\(1\)	\(e\left(\frac{7}{13}\right)\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{1}{13}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{19}{26}\right)\)	\(e\left(\frac{9}{26}\right)\)	\(e\left(\frac{19}{26}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(1\)	\(e\left(\frac{8}{13}\right)\)
\(\chi_{1060}(31,\cdot)\)	1060.be	52	no	\(1\)	\(1\)	\(e\left(\frac{15}{52}\right)\)	\(e\left(\frac{5}{13}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{3}{13}\right)\)	\(e\left(\frac{9}{26}\right)\)	\(e\left(\frac{51}{52}\right)\)	\(e\left(\frac{35}{52}\right)\)	\(i\)	\(e\left(\frac{45}{52}\right)\)
\(\chi_{1060}(33,\cdot)\)	1060.bd	52	no	\(1\)	\(1\)	\(e\left(\frac{10}{13}\right)\)	\(e\left(\frac{49}{52}\right)\)	\(e\left(\frac{7}{13}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{45}{52}\right)\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{45}{52}\right)\)	\(e\left(\frac{37}{52}\right)\)	\(-1\)	\(e\left(\frac{4}{13}\right)\)
\(\chi_{1060}(37,\cdot)\)	1060.bg	52	no	\(-1\)	\(1\)	\(e\left(\frac{29}{52}\right)\)	\(e\left(\frac{17}{52}\right)\)	\(e\left(\frac{3}{26}\right)\)	\(e\left(\frac{6}{13}\right)\)	\(e\left(\frac{31}{52}\right)\)	\(e\left(\frac{1}{52}\right)\)	\(e\left(\frac{11}{13}\right)\)	\(e\left(\frac{23}{26}\right)\)	\(i\)	\(e\left(\frac{35}{52}\right)\)
\(\chi_{1060}(39,\cdot)\)	1060.bk	52	yes	\(1\)	\(1\)	\(e\left(\frac{21}{52}\right)\)	\(e\left(\frac{1}{26}\right)\)	\(e\left(\frac{21}{26}\right)\)	\(e\left(\frac{3}{13}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(e\left(\frac{5}{13}\right)\)	\(e\left(\frac{35}{52}\right)\)	\(e\left(\frac{23}{52}\right)\)	\(-i\)	\(e\left(\frac{11}{52}\right)\)
\(\chi_{1060}(41,\cdot)\)	1060.bl	52	no	\(-1\)	\(1\)	\(e\left(\frac{37}{52}\right)\)	\(e\left(\frac{3}{26}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{1}{52}\right)\)	\(e\left(\frac{43}{52}\right)\)	\(-i\)	\(e\left(\frac{7}{52}\right)\)
\(\chi_{1060}(43,\cdot)\)	1060.bj	52	yes	\(1\)	\(1\)	\(e\left(\frac{49}{52}\right)\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{1}{26}\right)\)	\(e\left(\frac{21}{52}\right)\)	\(e\left(\frac{51}{52}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{3}{26}\right)\)	\(i\)	\(e\left(\frac{43}{52}\right)\)
\(\chi_{1060}(47,\cdot)\)	1060.bi	52	yes	\(1\)	\(1\)	\(e\left(\frac{33}{52}\right)\)	\(e\left(\frac{31}{52}\right)\)	\(e\left(\frac{7}{26}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{3}{52}\right)\)	\(e\left(\frac{37}{52}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{3}{13}\right)\)	\(i\)	\(e\left(\frac{47}{52}\right)\)
\(\chi_{1060}(49,\cdot)\)	1060.ba	26	no	\(1\)	\(1\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{1}{26}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{3}{13}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{12}{13}\right)\)	\(e\left(\frac{9}{13}\right)\)	\(-1\)	\(e\left(\frac{25}{26}\right)\)
\(\chi_{1060}(51,\cdot)\)	1060.be	52	no	\(1\)	\(1\)	\(e\left(\frac{17}{52}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{8}{13}\right)\)	\(e\left(\frac{6}{13}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{37}{52}\right)\)	\(e\left(\frac{5}{52}\right)\)	\(-i\)	\(e\left(\frac{51}{52}\right)\)
\(\chi_{1060}(57,\cdot)\)	1060.bg	52	no	\(-1\)	\(1\)	\(e\left(\frac{21}{52}\right)\)	\(e\left(\frac{41}{52}\right)\)	\(e\left(\frac{21}{26}\right)\)	\(e\left(\frac{3}{13}\right)\)	\(e\left(\frac{35}{52}\right)\)	\(e\left(\frac{33}{52}\right)\)	\(e\left(\frac{12}{13}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(i\)	\(e\left(\frac{11}{52}\right)\)
\(\chi_{1060}(59,\cdot)\)	1060.z	26	yes	\(-1\)	\(1\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{11}{13}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{21}{26}\right)\)	\(e\left(\frac{25}{26}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{19}{26}\right)\)	\(-1\)	\(e\left(\frac{17}{26}\right)\)
\(\chi_{1060}(61,\cdot)\)	1060.bl	52	no	\(-1\)	\(1\)	\(e\left(\frac{51}{52}\right)\)	\(e\left(\frac{21}{26}\right)\)	\(e\left(\frac{25}{26}\right)\)	\(e\left(\frac{9}{26}\right)\)	\(e\left(\frac{5}{13}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{7}{52}\right)\)	\(e\left(\frac{41}{52}\right)\)	\(i\)	\(e\left(\frac{49}{52}\right)\)
\(\chi_{1060}(63,\cdot)\)	1060.bi	52	yes	\(1\)	\(1\)	\(e\left(\frac{23}{52}\right)\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{1}{26}\right)\)	\(e\left(\frac{21}{52}\right)\)	\(e\left(\frac{51}{52}\right)\)	\(e\left(\frac{2}{13}\right)\)	\(e\left(\frac{8}{13}\right)\)	\(-i\)	\(e\left(\frac{17}{52}\right)\)
\(\chi_{1060}(67,\cdot)\)	1060.bc	52	yes	\(-1\)	\(1\)	\(e\left(\frac{2}{13}\right)\)	\(e\left(\frac{41}{52}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{3}{13}\right)\)	\(e\left(\frac{35}{52}\right)\)	\(e\left(\frac{7}{52}\right)\)	\(e\left(\frac{35}{52}\right)\)	\(e\left(\frac{49}{52}\right)\)	\(-1\)	\(e\left(\frac{6}{13}\right)\)
\(\chi_{1060}(69,\cdot)\)	1060.ba	26	no	\(1\)	\(1\)	\(e\left(\frac{21}{26}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{8}{13}\right)\)	\(e\left(\frac{6}{13}\right)\)	\(e\left(\frac{9}{26}\right)\)	\(e\left(\frac{7}{26}\right)\)	\(e\left(\frac{11}{13}\right)\)	\(e\left(\frac{5}{13}\right)\)	\(-1\)	\(e\left(\frac{11}{26}\right)\)
\(\chi_{1060}(71,\cdot)\)	1060.be	52	no	\(1\)	\(1\)	\(e\left(\frac{49}{52}\right)\)	\(e\left(\frac{12}{13}\right)\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{7}{13}\right)\)	\(e\left(\frac{2}{13}\right)\)	\(e\left(\frac{19}{26}\right)\)	\(e\left(\frac{21}{52}\right)\)	\(e\left(\frac{45}{52}\right)\)	\(-i\)	\(e\left(\frac{43}{52}\right)\)
\(\chi_{1060}(73,\cdot)\)	1060.bn	52	no	\(1\)	\(1\)	\(e\left(\frac{7}{26}\right)\)	\(e\left(\frac{49}{52}\right)\)	\(e\left(\frac{7}{13}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{45}{52}\right)\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{19}{52}\right)\)	\(e\left(\frac{11}{52}\right)\)	\(1\)	\(e\left(\frac{21}{26}\right)\)
\(\chi_{1060}(77,\cdot)\)	1060.bh	52	no	\(-1\)	\(1\)	\(e\left(\frac{15}{52}\right)\)	\(e\left(\frac{33}{52}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{51}{52}\right)\)	\(e\left(\frac{5}{52}\right)\)	\(e\left(\frac{19}{26}\right)\)	\(e\left(\frac{12}{13}\right)\)	\(-i\)	\(e\left(\frac{45}{52}\right)\)
\(\chi_{1060}(79,\cdot)\)	1060.bk	52	yes	\(1\)	\(1\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{19}{26}\right)\)	\(e\left(\frac{9}{26}\right)\)	\(e\left(\frac{5}{13}\right)\)	\(e\left(\frac{1}{26}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{15}{52}\right)\)	\(e\left(\frac{47}{52}\right)\)	\(-i\)	\(e\left(\frac{27}{52}\right)\)
\(\chi_{1060}(81,\cdot)\)	1060.u	13	no	\(1\)	\(1\)	\(e\left(\frac{3}{13}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{6}{13}\right)\)	\(e\left(\frac{11}{13}\right)\)	\(e\left(\frac{5}{13}\right)\)	\(e\left(\frac{1}{13}\right)\)	\(e\left(\frac{5}{13}\right)\)	\(e\left(\frac{7}{13}\right)\)	\(1\)	\(e\left(\frac{9}{13}\right)\)

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First 32 of 416 characters

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