LMFDB - Group of Dirichlet characters of modulus 5610

Show commands: PariGP / SageMath

sage: H = DirichletGroup(5610)

pari: g = idealstar(,5610,2)

Character group

sage: G.order() pari: g.no
Order	=	1280
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{4}\times C_{80}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{5610}(1871,\cdot)$, $\chi_{5610}(3367,\cdot)$, $\chi_{5610}(1531,\cdot)$, $\chi_{5610}(3301,\cdot)$

First 32 of 1280 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	$-1$	$1$	$7$	$13$	$19$	$23$	$29$	$31$	$37$	$41$	$43$	$47$
$\chi_{5610}(1,\cdot)$	5610.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{5610}(7,\cdot)$	5610.ez	80	no	$-1$	$1$	$e\left(\frac{57}{80}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{9}{40}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{27}{80}\right)$	$e\left(\frac{31}{80}\right)$	$e\left(\frac{27}{80}\right)$	$e\left(\frac{53}{80}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{3}{5}\right)$
$\chi_{5610}(13,\cdot)$	5610.dn	20	no	$1$	$1$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{3}{10}\right)$	$1$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{20}\right)$	$i$	$e\left(\frac{11}{20}\right)$
$\chi_{5610}(19,\cdot)$	5610.eu	40	no	$-1$	$1$	$e\left(\frac{9}{40}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{39}{40}\right)$	$e\left(\frac{21}{40}\right)$	$-i$	$e\left(\frac{2}{5}\right)$
$\chi_{5610}(23,\cdot)$	5610.dj	16	no	$-1$	$1$	$e\left(\frac{1}{16}\right)$	$1$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{1}{8}\right)$	$1$
$\chi_{5610}(29,\cdot)$	5610.fi	80	no	$-1$	$1$	$e\left(\frac{27}{80}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{77}{80}\right)$	$e\left(\frac{41}{80}\right)$	$e\left(\frac{57}{80}\right)$	$e\left(\frac{43}{80}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{17}{20}\right)$
$\chi_{5610}(31,\cdot)$	5610.fe	80	no	$-1$	$1$	$e\left(\frac{31}{80}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{41}{80}\right)$	$e\left(\frac{53}{80}\right)$	$e\left(\frac{61}{80}\right)$	$e\left(\frac{79}{80}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{1}{20}\right)$
$\chi_{5610}(37,\cdot)$	5610.fa	80	no	$1$	$1$	$e\left(\frac{27}{80}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{39}{40}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{57}{80}\right)$	$e\left(\frac{61}{80}\right)$	$e\left(\frac{57}{80}\right)$	$e\left(\frac{23}{80}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{5610}(41,\cdot)$	5610.ff	80	no	$-1$	$1$	$e\left(\frac{53}{80}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{43}{80}\right)$	$e\left(\frac{79}{80}\right)$	$e\left(\frac{23}{80}\right)$	$e\left(\frac{77}{80}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{13}{20}\right)$
$\chi_{5610}(43,\cdot)$	5610.bz	8	no	$1$	$1$	$e\left(\frac{5}{8}\right)$	$i$	$-i$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{7}{8}\right)$	$1$	$i$
$\chi_{5610}(47,\cdot)$	5610.dl	20	no	$1$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{2}{5}\right)$	$1$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{13}{20}\right)$	$i$	$e\left(\frac{3}{20}\right)$
$\chi_{5610}(49,\cdot)$	5610.ei	40	no	$1$	$1$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{31}{40}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{13}{40}\right)$	$i$	$e\left(\frac{1}{5}\right)$
$\chi_{5610}(53,\cdot)$	5610.eq	40	no	$1$	$1$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{33}{40}\right)$	$e\left(\frac{37}{40}\right)$	$1$	$e\left(\frac{11}{20}\right)$
$\chi_{5610}(59,\cdot)$	5610.ek	40	no	$-1$	$1$	$e\left(\frac{31}{40}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{1}{40}\right)$	$e\left(\frac{33}{40}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{39}{40}\right)$	$-i$	$e\left(\frac{1}{10}\right)$
$\chi_{5610}(61,\cdot)$	5610.fc	80	no	$1$	$1$	$e\left(\frac{29}{80}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{13}{40}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{59}{80}\right)$	$e\left(\frac{7}{80}\right)$	$e\left(\frac{79}{80}\right)$	$e\left(\frac{61}{80}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{19}{20}\right)$
$\chi_{5610}(67,\cdot)$	5610.ba	4	no	$-1$	$1$	$-i$	$-i$	$-1$	$i$	$1$	$-1$	$-i$	$-1$	$-i$	$i$
$\chi_{5610}(71,\cdot)$	5610.fd	80	no	$1$	$1$	$e\left(\frac{39}{80}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{3}{40}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{9}{80}\right)$	$e\left(\frac{77}{80}\right)$	$e\left(\frac{69}{80}\right)$	$e\left(\frac{31}{80}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{19}{20}\right)$
$\chi_{5610}(73,\cdot)$	5610.ez	80	no	$-1$	$1$	$e\left(\frac{7}{80}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{39}{40}\right)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{37}{80}\right)$	$e\left(\frac{1}{80}\right)$	$e\left(\frac{37}{80}\right)$	$e\left(\frac{43}{80}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{3}{5}\right)$
$\chi_{5610}(79,\cdot)$	5610.fh	80	no	$1$	$1$	$e\left(\frac{1}{80}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{31}{80}\right)$	$e\left(\frac{43}{80}\right)$	$e\left(\frac{11}{80}\right)$	$e\left(\frac{9}{80}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{1}{20}\right)$
$\chi_{5610}(83,\cdot)$	5610.en	40	no	$-1$	$1$	$e\left(\frac{7}{40}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{7}{40}\right)$	$e\left(\frac{31}{40}\right)$	$e\left(\frac{37}{40}\right)$	$e\left(\frac{13}{40}\right)$	$-1$	$e\left(\frac{19}{20}\right)$
$\chi_{5610}(89,\cdot)$	5610.v	4	no	$-1$	$1$	$-i$	$-1$	$-1$	$i$	$i$	$-i$	$i$	$-i$	$1$	$1$
$\chi_{5610}(91,\cdot)$	5610.fe	80	no	$-1$	$1$	$e\left(\frac{73}{80}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{63}{80}\right)$	$e\left(\frac{19}{80}\right)$	$e\left(\frac{43}{80}\right)$	$e\left(\frac{57}{80}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{3}{20}\right)$
$\chi_{5610}(97,\cdot)$	5610.fa	80	no	$1$	$1$	$e\left(\frac{31}{80}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{21}{80}\right)$	$e\left(\frac{73}{80}\right)$	$e\left(\frac{21}{80}\right)$	$e\left(\frac{59}{80}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{5610}(101,\cdot)$	5610.cl	10	no	$1$	$1$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{3}{10}\right)$	$1$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{3}{10}\right)$	$-1$	$e\left(\frac{3}{10}\right)$
$\chi_{5610}(103,\cdot)$	5610.dy	20	no	$-1$	$1$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{1}{10}\right)$	$i$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{3}{5}\right)$	$i$	$e\left(\frac{7}{20}\right)$
$\chi_{5610}(107,\cdot)$	5610.fk	80	no	$1$	$1$	$e\left(\frac{63}{80}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{31}{40}\right)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{13}{80}\right)$	$e\left(\frac{49}{80}\right)$	$e\left(\frac{13}{80}\right)$	$e\left(\frac{67}{80}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{2}{5}\right)$
$\chi_{5610}(109,\cdot)$	5610.de	16	no	$1$	$1$	$e\left(\frac{9}{16}\right)$	$-i$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{3}{8}\right)$	$i$
$\chi_{5610}(113,\cdot)$	5610.ey	80	no	$-1$	$1$	$e\left(\frac{13}{80}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{40}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{23}{80}\right)$	$e\left(\frac{59}{80}\right)$	$e\left(\frac{63}{80}\right)$	$e\left(\frac{57}{80}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{2}{5}\right)$
$\chi_{5610}(127,\cdot)$	5610.eo	40	no	$1$	$1$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{37}{40}\right)$	$e\left(\frac{1}{40}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{23}{40}\right)$	$-1$	$e\left(\frac{19}{20}\right)$
$\chi_{5610}(131,\cdot)$	5610.cy	16	no	$-1$	$1$	$e\left(\frac{7}{16}\right)$	$-i$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{1}{8}\right)$	$-i$
$\chi_{5610}(133,\cdot)$	5610.cw	16	no	$1$	$1$	$e\left(\frac{15}{16}\right)$	$-1$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{3}{8}\right)$	$1$
$\chi_{5610}(137,\cdot)$	5610.dw	20	no	$1$	$1$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{7}{10}\right)$	$i$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{7}{10}\right)$	$-i$	$e\left(\frac{19}{20}\right)$

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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 $\F_{q}$

Modulus	$5610$
Structure	\(C_{2}\times C_{2}\times C_{4}\times C_{80}\)
Order	$1280$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(7\)	\(13\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)	\(47\)
\(\chi_{5610}(1,\cdot)\)	5610.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{5610}(7,\cdot)\)	5610.ez	80	no	\(-1\)	\(1\)	\(e\left(\frac{57}{80}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{9}{40}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{27}{80}\right)\)	\(e\left(\frac{31}{80}\right)\)	\(e\left(\frac{27}{80}\right)\)	\(e\left(\frac{53}{80}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{3}{5}\right)\)
\(\chi_{5610}(13,\cdot)\)	5610.dn	20	no	\(1\)	\(1\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(1\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(i\)	\(e\left(\frac{11}{20}\right)\)
\(\chi_{5610}(19,\cdot)\)	5610.eu	40	no	\(-1\)	\(1\)	\(e\left(\frac{9}{40}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(-i\)	\(e\left(\frac{2}{5}\right)\)
\(\chi_{5610}(23,\cdot)\)	5610.dj	16	no	\(-1\)	\(1\)	\(e\left(\frac{1}{16}\right)\)	\(1\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{7}{16}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(1\)
\(\chi_{5610}(29,\cdot)\)	5610.fi	80	no	\(-1\)	\(1\)	\(e\left(\frac{27}{80}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{77}{80}\right)\)	\(e\left(\frac{41}{80}\right)\)	\(e\left(\frac{57}{80}\right)\)	\(e\left(\frac{43}{80}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{17}{20}\right)\)
\(\chi_{5610}(31,\cdot)\)	5610.fe	80	no	\(-1\)	\(1\)	\(e\left(\frac{31}{80}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{7}{16}\right)\)	\(e\left(\frac{41}{80}\right)\)	\(e\left(\frac{53}{80}\right)\)	\(e\left(\frac{61}{80}\right)\)	\(e\left(\frac{79}{80}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{1}{20}\right)\)
\(\chi_{5610}(37,\cdot)\)	5610.fa	80	no	\(1\)	\(1\)	\(e\left(\frac{27}{80}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{57}{80}\right)\)	\(e\left(\frac{61}{80}\right)\)	\(e\left(\frac{57}{80}\right)\)	\(e\left(\frac{23}{80}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{5610}(41,\cdot)\)	5610.ff	80	no	\(-1\)	\(1\)	\(e\left(\frac{53}{80}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{43}{80}\right)\)	\(e\left(\frac{79}{80}\right)\)	\(e\left(\frac{23}{80}\right)\)	\(e\left(\frac{77}{80}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{13}{20}\right)\)
\(\chi_{5610}(43,\cdot)\)	5610.bz	8	no	\(1\)	\(1\)	\(e\left(\frac{5}{8}\right)\)	\(i\)	\(-i\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(1\)	\(i\)
\(\chi_{5610}(47,\cdot)\)	5610.dl	20	no	\(1\)	\(1\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(1\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(i\)	\(e\left(\frac{3}{20}\right)\)
\(\chi_{5610}(49,\cdot)\)	5610.ei	40	no	\(1\)	\(1\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{31}{40}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(i\)	\(e\left(\frac{1}{5}\right)\)
\(\chi_{5610}(53,\cdot)\)	5610.eq	40	no	\(1\)	\(1\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{33}{40}\right)\)	\(e\left(\frac{37}{40}\right)\)	\(1\)	\(e\left(\frac{11}{20}\right)\)
\(\chi_{5610}(59,\cdot)\)	5610.ek	40	no	\(-1\)	\(1\)	\(e\left(\frac{31}{40}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{1}{40}\right)\)	\(e\left(\frac{33}{40}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(-i\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{5610}(61,\cdot)\)	5610.fc	80	no	\(1\)	\(1\)	\(e\left(\frac{29}{80}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{59}{80}\right)\)	\(e\left(\frac{7}{80}\right)\)	\(e\left(\frac{79}{80}\right)\)	\(e\left(\frac{61}{80}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{19}{20}\right)\)
\(\chi_{5610}(67,\cdot)\)	5610.ba	4	no	\(-1\)	\(1\)	\(-i\)	\(-i\)	\(-1\)	\(i\)	\(1\)	\(-1\)	\(-i\)	\(-1\)	\(-i\)	\(i\)
\(\chi_{5610}(71,\cdot)\)	5610.fd	80	no	\(1\)	\(1\)	\(e\left(\frac{39}{80}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{3}{40}\right)\)	\(e\left(\frac{7}{16}\right)\)	\(e\left(\frac{9}{80}\right)\)	\(e\left(\frac{77}{80}\right)\)	\(e\left(\frac{69}{80}\right)\)	\(e\left(\frac{31}{80}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{19}{20}\right)\)
\(\chi_{5610}(73,\cdot)\)	5610.ez	80	no	\(-1\)	\(1\)	\(e\left(\frac{7}{80}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{15}{16}\right)\)	\(e\left(\frac{37}{80}\right)\)	\(e\left(\frac{1}{80}\right)\)	\(e\left(\frac{37}{80}\right)\)	\(e\left(\frac{43}{80}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{3}{5}\right)\)
\(\chi_{5610}(79,\cdot)\)	5610.fh	80	no	\(1\)	\(1\)	\(e\left(\frac{1}{80}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{31}{80}\right)\)	\(e\left(\frac{43}{80}\right)\)	\(e\left(\frac{11}{80}\right)\)	\(e\left(\frac{9}{80}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{1}{20}\right)\)
\(\chi_{5610}(83,\cdot)\)	5610.en	40	no	\(-1\)	\(1\)	\(e\left(\frac{7}{40}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{7}{40}\right)\)	\(e\left(\frac{31}{40}\right)\)	\(e\left(\frac{37}{40}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(-1\)	\(e\left(\frac{19}{20}\right)\)
\(\chi_{5610}(89,\cdot)\)	5610.v	4	no	\(-1\)	\(1\)	\(-i\)	\(-1\)	\(-1\)	\(i\)	\(i\)	\(-i\)	\(i\)	\(-i\)	\(1\)	\(1\)
\(\chi_{5610}(91,\cdot)\)	5610.fe	80	no	\(-1\)	\(1\)	\(e\left(\frac{73}{80}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{63}{80}\right)\)	\(e\left(\frac{19}{80}\right)\)	\(e\left(\frac{43}{80}\right)\)	\(e\left(\frac{57}{80}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{3}{20}\right)\)
\(\chi_{5610}(97,\cdot)\)	5610.fa	80	no	\(1\)	\(1\)	\(e\left(\frac{31}{80}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{15}{16}\right)\)	\(e\left(\frac{21}{80}\right)\)	\(e\left(\frac{73}{80}\right)\)	\(e\left(\frac{21}{80}\right)\)	\(e\left(\frac{59}{80}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{5610}(101,\cdot)\)	5610.cl	10	no	\(1\)	\(1\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(1\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(-1\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{5610}(103,\cdot)\)	5610.dy	20	no	\(-1\)	\(1\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(i\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(i\)	\(e\left(\frac{7}{20}\right)\)
\(\chi_{5610}(107,\cdot)\)	5610.fk	80	no	\(1\)	\(1\)	\(e\left(\frac{63}{80}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{31}{40}\right)\)	\(e\left(\frac{15}{16}\right)\)	\(e\left(\frac{13}{80}\right)\)	\(e\left(\frac{49}{80}\right)\)	\(e\left(\frac{13}{80}\right)\)	\(e\left(\frac{67}{80}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{2}{5}\right)\)
\(\chi_{5610}(109,\cdot)\)	5610.de	16	no	\(1\)	\(1\)	\(e\left(\frac{9}{16}\right)\)	\(-i\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{7}{16}\right)\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(i\)
\(\chi_{5610}(113,\cdot)\)	5610.ey	80	no	\(-1\)	\(1\)	\(e\left(\frac{13}{80}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{1}{40}\right)\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{23}{80}\right)\)	\(e\left(\frac{59}{80}\right)\)	\(e\left(\frac{63}{80}\right)\)	\(e\left(\frac{57}{80}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{2}{5}\right)\)
\(\chi_{5610}(127,\cdot)\)	5610.eo	40	no	\(1\)	\(1\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{37}{40}\right)\)	\(e\left(\frac{1}{40}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{23}{40}\right)\)	\(-1\)	\(e\left(\frac{19}{20}\right)\)
\(\chi_{5610}(131,\cdot)\)	5610.cy	16	no	\(-1\)	\(1\)	\(e\left(\frac{7}{16}\right)\)	\(-i\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{9}{16}\right)\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{15}{16}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(-i\)
\(\chi_{5610}(133,\cdot)\)	5610.cw	16	no	\(1\)	\(1\)	\(e\left(\frac{15}{16}\right)\)	\(-1\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(1\)
\(\chi_{5610}(137,\cdot)\)	5610.dw	20	no	\(1\)	\(1\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(i\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(-i\)	\(e\left(\frac{19}{20}\right)\)

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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.