LMFDB - Group of Dirichlet characters of modulus 5160

sage:H = DirichletGroup(5160)

pari:g = idealstar(,5160,2)

Character group

sage:G.order() pari:g.no
Order	=	1344
sage:H.invariants() pari:g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{2}\times C_{2}\times C_{84}$
sage:H.gens() pari:g.gen
Generators	=	$\chi_{5160}(3871,\cdot)$, $\chi_{5160}(2581,\cdot)$, $\chi_{5160}(1721,\cdot)$, $\chi_{5160}(3097,\cdot)$, $\chi_{5160}(4561,\cdot)$

First 32 of 1344 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	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$
$\chi_{5160}(1,\cdot)$	5160.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{5160}(7,\cdot)$	5160.di	12	no	$-1$	$1$	$e\left(\frac{11}{12}\right)$	$-1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{12}\right)$	$1$
$\chi_{5160}(11,\cdot)$	5160.eh	14	no	$1$	$1$	$-1$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{11}{14}\right)$	$-1$	$e\left(\frac{11}{14}\right)$
$\chi_{5160}(13,\cdot)$	5160.hj	84	no	$-1$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{11}{84}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{37}{84}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{4}{7}\right)$
$\chi_{5160}(17,\cdot)$	5160.hf	84	no	$1$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{11}{84}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{61}{84}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{13}{14}\right)$
$\chi_{5160}(19,\cdot)$	5160.gj	42	no	$1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{7}\right)$
$\chi_{5160}(23,\cdot)$	5160.ha	84	no	$-1$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{37}{84}\right)$	$e\left(\frac{61}{84}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{29}{84}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{14}\right)$
$\chi_{5160}(29,\cdot)$	5160.fv	42	yes	$1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{14}\right)$
$\chi_{5160}(31,\cdot)$	5160.gt	42	no	$-1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{6}{7}\right)$
$\chi_{5160}(37,\cdot)$	5160.dj	12	no	$1$	$1$	$e\left(\frac{1}{12}\right)$	$-1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{11}{12}\right)$	$1$
$\chi_{5160}(41,\cdot)$	5160.et	14	no	$-1$	$1$	$1$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{6}{7}\right)$	$1$	$e\left(\frac{5}{14}\right)$
$\chi_{5160}(47,\cdot)$	5160.fa	28	no	$-1$	$1$	$-i$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{25}{28}\right)$	$e\left(\frac{17}{28}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{3}{14}\right)$	$i$	$e\left(\frac{3}{14}\right)$
$\chi_{5160}(49,\cdot)$	5160.da	6	no	$1$	$1$	$e\left(\frac{5}{6}\right)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$1$
$\chi_{5160}(53,\cdot)$	5160.gz	84	yes	$1$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{31}{84}\right)$	$e\left(\frac{25}{84}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{13}{14}\right)$
$\chi_{5160}(59,\cdot)$	5160.eq	14	yes	$1$	$1$	$1$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{13}{14}\right)$	$1$	$e\left(\frac{13}{14}\right)$
$\chi_{5160}(61,\cdot)$	5160.gp	42	no	$-1$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{7}\right)$
$\chi_{5160}(67,\cdot)$	5160.gw	84	no	$1$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{61}{84}\right)$	$e\left(\frac{37}{84}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{41}{84}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{7}\right)$
$\chi_{5160}(71,\cdot)$	5160.fu	42	no	$-1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{14}\right)$
$\chi_{5160}(73,\cdot)$	5160.hb	84	no	$1$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{53}{84}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{37}{84}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{4}{7}\right)$
$\chi_{5160}(77,\cdot)$	5160.gx	84	yes	$-1$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{65}{84}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{1}{84}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{11}{14}\right)$
$\chi_{5160}(79,\cdot)$	5160.cd	6	no	$-1$	$1$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$1$
$\chi_{5160}(83,\cdot)$	5160.hc	84	yes	$-1$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{13}{84}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{53}{84}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{9}{14}\right)$
$\chi_{5160}(89,\cdot)$	5160.fz	42	no	$1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{9}{14}\right)$
$\chi_{5160}(91,\cdot)$	5160.fs	42	no	$1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{4}{7}\right)$
$\chi_{5160}(97,\cdot)$	5160.ff	28	no	$-1$	$1$	$i$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{17}{28}\right)$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{2}{7}\right)$	$i$	$e\left(\frac{2}{7}\right)$
$\chi_{5160}(101,\cdot)$	5160.fq	42	no	$-1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{14}\right)$
$\chi_{5160}(103,\cdot)$	5160.hg	84	no	$1$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{17}{84}\right)$	$e\left(\frac{11}{84}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{19}{84}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{3}{7}\right)$
$\chi_{5160}(107,\cdot)$	5160.fo	28	yes	$-1$	$1$	$-i$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{19}{28}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{9}{14}\right)$	$-i$	$e\left(\frac{9}{14}\right)$
$\chi_{5160}(109,\cdot)$	5160.gq	42	no	$1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{7}\right)$
$\chi_{5160}(113,\cdot)$	5160.fj	28	no	$-1$	$1$	$i$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{25}{28}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{3}{7}\right)$	$i$	$e\left(\frac{13}{14}\right)$
$\chi_{5160}(119,\cdot)$	5160.gh	42	no	$-1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{13}{14}\right)$
$\chi_{5160}(121,\cdot)$	5160.dc	7	no	$1$	$1$	$1$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{4}{7}\right)$	$1$	$e\left(\frac{4}{7}\right)$

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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	$5160$
Structure	\(C_{2}\times C_{2}\times C_{2}\times C_{2}\times C_{84}\)
Order	$1344$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)
\(\chi_{5160}(1,\cdot)\)	5160.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{5160}(7,\cdot)\)	5160.di	12	no	\(-1\)	\(1\)	\(e\left(\frac{11}{12}\right)\)	\(-1\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(1\)
\(\chi_{5160}(11,\cdot)\)	5160.eh	14	no	\(1\)	\(1\)	\(-1\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(-1\)	\(e\left(\frac{11}{14}\right)\)
\(\chi_{5160}(13,\cdot)\)	5160.hj	84	no	\(-1\)	\(1\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{11}{84}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{37}{84}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{4}{7}\right)\)
\(\chi_{5160}(17,\cdot)\)	5160.hf	84	no	\(1\)	\(1\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{11}{84}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{61}{84}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{5160}(19,\cdot)\)	5160.gj	42	no	\(1\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{7}\right)\)
\(\chi_{5160}(23,\cdot)\)	5160.ha	84	no	\(-1\)	\(1\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{37}{84}\right)\)	\(e\left(\frac{61}{84}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{29}{84}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{11}{14}\right)\)
\(\chi_{5160}(29,\cdot)\)	5160.fv	42	yes	\(1\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{14}\right)\)
\(\chi_{5160}(31,\cdot)\)	5160.gt	42	no	\(-1\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{6}{7}\right)\)
\(\chi_{5160}(37,\cdot)\)	5160.dj	12	no	\(1\)	\(1\)	\(e\left(\frac{1}{12}\right)\)	\(-1\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(1\)
\(\chi_{5160}(41,\cdot)\)	5160.et	14	no	\(-1\)	\(1\)	\(1\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(1\)	\(e\left(\frac{5}{14}\right)\)
\(\chi_{5160}(47,\cdot)\)	5160.fa	28	no	\(-1\)	\(1\)	\(-i\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{25}{28}\right)\)	\(e\left(\frac{17}{28}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(i\)	\(e\left(\frac{3}{14}\right)\)
\(\chi_{5160}(49,\cdot)\)	5160.da	6	no	\(1\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(1\)
\(\chi_{5160}(53,\cdot)\)	5160.gz	84	yes	\(1\)	\(1\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{31}{84}\right)\)	\(e\left(\frac{25}{84}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{5160}(59,\cdot)\)	5160.eq	14	yes	\(1\)	\(1\)	\(1\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(1\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{5160}(61,\cdot)\)	5160.gp	42	no	\(-1\)	\(1\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{7}\right)\)
\(\chi_{5160}(67,\cdot)\)	5160.gw	84	no	\(1\)	\(1\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{61}{84}\right)\)	\(e\left(\frac{37}{84}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{41}{84}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{5}{7}\right)\)
\(\chi_{5160}(71,\cdot)\)	5160.fu	42	no	\(-1\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{3}{14}\right)\)
\(\chi_{5160}(73,\cdot)\)	5160.hb	84	no	\(1\)	\(1\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{53}{84}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{37}{84}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{4}{7}\right)\)
\(\chi_{5160}(77,\cdot)\)	5160.gx	84	yes	\(-1\)	\(1\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{65}{84}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{1}{84}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{11}{14}\right)\)
\(\chi_{5160}(79,\cdot)\)	5160.cd	6	no	\(-1\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(-1\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(1\)
\(\chi_{5160}(83,\cdot)\)	5160.hc	84	yes	\(-1\)	\(1\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{13}{84}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{53}{84}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{9}{14}\right)\)
\(\chi_{5160}(89,\cdot)\)	5160.fz	42	no	\(1\)	\(1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{9}{14}\right)\)
\(\chi_{5160}(91,\cdot)\)	5160.fs	42	no	\(1\)	\(1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{4}{7}\right)\)
\(\chi_{5160}(97,\cdot)\)	5160.ff	28	no	\(-1\)	\(1\)	\(i\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{17}{28}\right)\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(i\)	\(e\left(\frac{2}{7}\right)\)
\(\chi_{5160}(101,\cdot)\)	5160.fq	42	no	\(-1\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{3}{14}\right)\)
\(\chi_{5160}(103,\cdot)\)	5160.hg	84	no	\(1\)	\(1\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{17}{84}\right)\)	\(e\left(\frac{11}{84}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{19}{84}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{3}{7}\right)\)
\(\chi_{5160}(107,\cdot)\)	5160.fo	28	yes	\(-1\)	\(1\)	\(-i\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(-i\)	\(e\left(\frac{9}{14}\right)\)
\(\chi_{5160}(109,\cdot)\)	5160.gq	42	no	\(1\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{2}{7}\right)\)
\(\chi_{5160}(113,\cdot)\)	5160.fj	28	no	\(-1\)	\(1\)	\(i\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{27}{28}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{25}{28}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(i\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{5160}(119,\cdot)\)	5160.gh	42	no	\(-1\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{5160}(121,\cdot)\)	5160.dc	7	no	\(1\)	\(1\)	\(1\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(1\)	\(e\left(\frac{4}{7}\right)\)

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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.