LMFDB - Group of Dirichlet characters of modulus 2580

sage:H = DirichletGroup(2580)

pari:g = idealstar(,2580,2)

Character group

sage:G.order() pari:g.no
Order	=	672
sage:H.invariants() pari:g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{2}\times C_{84}$
sage:H.gens() pari:g.gen
Generators	=	$\chi_{2580}(1291,\cdot)$, $\chi_{2580}(1721,\cdot)$, $\chi_{2580}(517,\cdot)$, $\chi_{2580}(1981,\cdot)$

First 32 of 672 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	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$
$\chi_{2580}(1,\cdot)$	2580.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{2580}(7,\cdot)$	2580.bs	12	no	$-1$	$1$	$e\left(\frac{11}{12}\right)$	$-1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{12}\right)$	$1$
$\chi_{2580}(11,\cdot)$	2580.by	14	no	$1$	$1$	$-1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{11}{14}\right)$	$1$	$e\left(\frac{11}{14}\right)$
$\chi_{2580}(13,\cdot)$	2580.dl	84	no	$-1$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{53}{84}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{37}{84}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{4}{7}\right)$
$\chi_{2580}(17,\cdot)$	2580.dp	84	no	$1$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{11}{84}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{61}{84}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{13}{14}\right)$
$\chi_{2580}(19,\cdot)$	2580.dg	42	no	$1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{7}\right)$
$\chi_{2580}(23,\cdot)$	2580.dm	84	yes	$-1$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{37}{84}\right)$	$e\left(\frac{61}{84}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{29}{84}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{14}\right)$
$\chi_{2580}(29,\cdot)$	2580.cz	42	no	$1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{14}\right)$
$\chi_{2580}(31,\cdot)$	2580.dj	42	no	$-1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{6}{7}\right)$
$\chi_{2580}(37,\cdot)$	2580.bt	12	no	$1$	$1$	$e\left(\frac{1}{12}\right)$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{12}\right)$	$1$
$\chi_{2580}(41,\cdot)$	2580.cj	14	no	$-1$	$1$	$1$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{6}{7}\right)$	$1$	$e\left(\frac{5}{14}\right)$
$\chi_{2580}(47,\cdot)$	2580.co	28	yes	$-1$	$1$	$-i$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{25}{28}\right)$	$e\left(\frac{17}{28}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{3}{14}\right)$	$i$	$e\left(\frac{3}{14}\right)$
$\chi_{2580}(49,\cdot)$	2580.bn	6	no	$1$	$1$	$e\left(\frac{5}{6}\right)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$1$
$\chi_{2580}(53,\cdot)$	2580.dp	84	no	$1$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{73}{84}\right)$	$e\left(\frac{25}{84}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{13}{14}\right)$
$\chi_{2580}(59,\cdot)$	2580.cg	14	yes	$1$	$1$	$1$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{13}{14}\right)$	$-1$	$e\left(\frac{13}{14}\right)$
$\chi_{2580}(61,\cdot)$	2580.df	42	no	$-1$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{7}\right)$
$\chi_{2580}(67,\cdot)$	2580.dq	84	no	$1$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{19}{84}\right)$	$e\left(\frac{37}{84}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{41}{84}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{7}\right)$
$\chi_{2580}(71,\cdot)$	2580.cx	42	no	$-1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{14}\right)$
$\chi_{2580}(73,\cdot)$	2580.dn	84	no	$1$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{53}{84}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{37}{84}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{4}{7}\right)$
$\chi_{2580}(77,\cdot)$	2580.dr	84	no	$-1$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{23}{84}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{1}{84}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{11}{14}\right)$
$\chi_{2580}(79,\cdot)$	2580.bc	6	no	$-1$	$1$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$1$
$\chi_{2580}(83,\cdot)$	2580.dm	84	yes	$-1$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{1}{84}\right)$	$e\left(\frac{13}{84}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{53}{84}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{9}{14}\right)$
$\chi_{2580}(89,\cdot)$	2580.cz	42	no	$1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{9}{14}\right)$
$\chi_{2580}(91,\cdot)$	2580.db	42	no	$1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{4}{7}\right)$
$\chi_{2580}(97,\cdot)$	2580.cp	28	no	$-1$	$1$	$i$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{17}{28}\right)$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{2}{7}\right)$	$i$	$e\left(\frac{2}{7}\right)$
$\chi_{2580}(101,\cdot)$	2580.da	42	no	$-1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{3}{14}\right)$
$\chi_{2580}(103,\cdot)$	2580.dq	84	no	$1$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{17}{84}\right)$	$e\left(\frac{11}{84}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{19}{84}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{3}{7}\right)$
$\chi_{2580}(107,\cdot)$	2580.co	28	yes	$-1$	$1$	$-i$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{9}{14}\right)$	$i$	$e\left(\frac{9}{14}\right)$
$\chi_{2580}(109,\cdot)$	2580.dc	42	no	$1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{7}\right)$
$\chi_{2580}(113,\cdot)$	2580.cr	28	no	$-1$	$1$	$i$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{25}{28}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{3}{7}\right)$	$i$	$e\left(\frac{13}{14}\right)$
$\chi_{2580}(119,\cdot)$	2580.dd	42	yes	$-1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{13}{14}\right)$
$\chi_{2580}(121,\cdot)$	2580.bo	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	$2580$
Structure	\(C_{2}\times C_{2}\times C_{2}\times C_{84}\)
Order	$672$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)
\(\chi_{2580}(1,\cdot)\)	2580.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{2580}(7,\cdot)\)	2580.bs	12	no	\(-1\)	\(1\)	\(e\left(\frac{11}{12}\right)\)	\(-1\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(1\)
\(\chi_{2580}(11,\cdot)\)	2580.by	14	no	\(1\)	\(1\)	\(-1\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(1\)	\(e\left(\frac{11}{14}\right)\)
\(\chi_{2580}(13,\cdot)\)	2580.dl	84	no	\(-1\)	\(1\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{53}{84}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{37}{84}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{4}{7}\right)\)
\(\chi_{2580}(17,\cdot)\)	2580.dp	84	no	\(1\)	\(1\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{11}{84}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{61}{84}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{2580}(19,\cdot)\)	2580.dg	42	no	\(1\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{7}\right)\)
\(\chi_{2580}(23,\cdot)\)	2580.dm	84	yes	\(-1\)	\(1\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{37}{84}\right)\)	\(e\left(\frac{61}{84}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{29}{84}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{11}{14}\right)\)
\(\chi_{2580}(29,\cdot)\)	2580.cz	42	no	\(1\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{5}{14}\right)\)
\(\chi_{2580}(31,\cdot)\)	2580.dj	42	no	\(-1\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{6}{7}\right)\)
\(\chi_{2580}(37,\cdot)\)	2580.bt	12	no	\(1\)	\(1\)	\(e\left(\frac{1}{12}\right)\)	\(1\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(1\)
\(\chi_{2580}(41,\cdot)\)	2580.cj	14	no	\(-1\)	\(1\)	\(1\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(1\)	\(e\left(\frac{5}{14}\right)\)
\(\chi_{2580}(47,\cdot)\)	2580.co	28	yes	\(-1\)	\(1\)	\(-i\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{25}{28}\right)\)	\(e\left(\frac{17}{28}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(i\)	\(e\left(\frac{3}{14}\right)\)
\(\chi_{2580}(49,\cdot)\)	2580.bn	6	no	\(1\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(1\)
\(\chi_{2580}(53,\cdot)\)	2580.dp	84	no	\(1\)	\(1\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{73}{84}\right)\)	\(e\left(\frac{25}{84}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{2580}(59,\cdot)\)	2580.cg	14	yes	\(1\)	\(1\)	\(1\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(-1\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{2580}(61,\cdot)\)	2580.df	42	no	\(-1\)	\(1\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{7}\right)\)
\(\chi_{2580}(67,\cdot)\)	2580.dq	84	no	\(1\)	\(1\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{19}{84}\right)\)	\(e\left(\frac{37}{84}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{41}{84}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{5}{7}\right)\)
\(\chi_{2580}(71,\cdot)\)	2580.cx	42	no	\(-1\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{3}{14}\right)\)
\(\chi_{2580}(73,\cdot)\)	2580.dn	84	no	\(1\)	\(1\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{53}{84}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{37}{84}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{4}{7}\right)\)
\(\chi_{2580}(77,\cdot)\)	2580.dr	84	no	\(-1\)	\(1\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{23}{84}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{1}{84}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{11}{14}\right)\)
\(\chi_{2580}(79,\cdot)\)	2580.bc	6	no	\(-1\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(-1\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(1\)
\(\chi_{2580}(83,\cdot)\)	2580.dm	84	yes	\(-1\)	\(1\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{1}{84}\right)\)	\(e\left(\frac{13}{84}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{53}{84}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{9}{14}\right)\)
\(\chi_{2580}(89,\cdot)\)	2580.cz	42	no	\(1\)	\(1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{9}{14}\right)\)
\(\chi_{2580}(91,\cdot)\)	2580.db	42	no	\(1\)	\(1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{4}{7}\right)\)
\(\chi_{2580}(97,\cdot)\)	2580.cp	28	no	\(-1\)	\(1\)	\(i\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{17}{28}\right)\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(i\)	\(e\left(\frac{2}{7}\right)\)
\(\chi_{2580}(101,\cdot)\)	2580.da	42	no	\(-1\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{3}{14}\right)\)
\(\chi_{2580}(103,\cdot)\)	2580.dq	84	no	\(1\)	\(1\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{17}{84}\right)\)	\(e\left(\frac{11}{84}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{19}{84}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{3}{7}\right)\)
\(\chi_{2580}(107,\cdot)\)	2580.co	28	yes	\(-1\)	\(1\)	\(-i\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(i\)	\(e\left(\frac{9}{14}\right)\)
\(\chi_{2580}(109,\cdot)\)	2580.dc	42	no	\(1\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{2}{7}\right)\)
\(\chi_{2580}(113,\cdot)\)	2580.cr	28	no	\(-1\)	\(1\)	\(i\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{27}{28}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{25}{28}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(i\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{2580}(119,\cdot)\)	2580.dd	42	yes	\(-1\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{2580}(121,\cdot)\)	2580.bo	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.