LMFDB - Group of Dirichlet characters of modulus 4290

Show commands: PariGP / SageMath

sage: H = DirichletGroup(4290)

pari: g = idealstar(,4290,2)

Character group

sage: G.order() pari: g.no
Order	=	960
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{4}\times C_{60}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{4290}(2861,\cdot)$, $\chi_{4290}(1717,\cdot)$, $\chi_{4290}(3511,\cdot)$, $\chi_{4290}(2641,\cdot)$

First 32 of 960 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	$-1$	$1$	$7$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$	$47$
$\chi_{4290}(1,\cdot)$	4290.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{4290}(7,\cdot)$	4290.fj	60	no	$-1$	$1$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{3}{5}\right)$
$\chi_{4290}(17,\cdot)$	4290.fp	60	no	$-1$	$1$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{9}{20}\right)$
$\chi_{4290}(19,\cdot)$	4290.fk	60	no	$1$	$1$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{20}\right)$
$\chi_{4290}(23,\cdot)$	4290.dc	12	no	$1$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{11}{12}\right)$	$-i$
$\chi_{4290}(29,\cdot)$	4290.ez	30	no	$1$	$1$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{3}{5}\right)$
$\chi_{4290}(31,\cdot)$	4290.ej	20	no	$-1$	$1$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{11}{20}\right)$	$-1$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{11}{20}\right)$	$-1$	$e\left(\frac{1}{20}\right)$
$\chi_{4290}(37,\cdot)$	4290.gb	60	no	$1$	$1$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{3}{5}\right)$
$\chi_{4290}(41,\cdot)$	4290.fl	60	no	$-1$	$1$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{3}{20}\right)$
$\chi_{4290}(43,\cdot)$	4290.dg	12	no	$1$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{12}\right)$	$i$
$\chi_{4290}(47,\cdot)$	4290.dt	20	no	$-1$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{3}{20}\right)$	$-i$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{3}{20}\right)$	$i$	$e\left(\frac{9}{10}\right)$
$\chi_{4290}(49,\cdot)$	4290.fa	30	no	$1$	$1$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{5}\right)$
$\chi_{4290}(53,\cdot)$	4290.ef	20	no	$1$	$1$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{3}{10}\right)$	$-i$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{3}{10}\right)$	$i$	$e\left(\frac{1}{20}\right)$
$\chi_{4290}(59,\cdot)$	4290.fm	60	no	$1$	$1$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{19}{60}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{7}{20}\right)$
$\chi_{4290}(61,\cdot)$	4290.er	30	no	$-1$	$1$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{5}\right)$
$\chi_{4290}(67,\cdot)$	4290.dr	12	no	$1$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{6}\right)$	$-i$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{11}{12}\right)$	$-1$
$\chi_{4290}(71,\cdot)$	4290.fw	60	no	$1$	$1$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{19}{20}\right)$
$\chi_{4290}(73,\cdot)$	4290.du	20	no	$-1$	$1$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{17}{20}\right)$	$-i$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{7}{20}\right)$	$i$	$e\left(\frac{1}{10}\right)$
$\chi_{4290}(79,\cdot)$	4290.cg	10	no	$-1$	$1$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{3}{10}\right)$	$-1$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{3}{10}\right)$	$1$	$e\left(\frac{3}{10}\right)$
$\chi_{4290}(83,\cdot)$	4290.ep	20	no	$1$	$1$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{19}{20}\right)$	$i$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{19}{20}\right)$	$i$	$e\left(\frac{7}{10}\right)$
$\chi_{4290}(89,\cdot)$	4290.dn	12	no	$1$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$i$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{2}{3}\right)$	$-i$
$\chi_{4290}(97,\cdot)$	4290.fg	60	no	$1$	$1$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{4290}(101,\cdot)$	4290.ff	30	no	$1$	$1$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{4}{5}\right)$
$\chi_{4290}(103,\cdot)$	4290.ee	20	no	$-1$	$1$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{3}{5}\right)$	$i$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{1}{10}\right)$	$i$	$e\left(\frac{17}{20}\right)$
$\chi_{4290}(107,\cdot)$	4290.fs	60	no	$-1$	$1$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{3}{20}\right)$
$\chi_{4290}(109,\cdot)$	4290.x	4	no	$1$	$1$	$i$	$-1$	$i$	$1$	$-1$	$-i$	$-i$	$i$	$-1$	$-i$
$\chi_{4290}(113,\cdot)$	4290.fq	60	no	$1$	$1$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{13}{20}\right)$
$\chi_{4290}(119,\cdot)$	4290.fm	60	no	$1$	$1$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{20}\right)$
$\chi_{4290}(127,\cdot)$	4290.fr	60	no	$1$	$1$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{19}{20}\right)$
$\chi_{4290}(131,\cdot)$	4290.f	2	no	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$
$\chi_{4290}(133,\cdot)$	4290.dj	12	no	$-1$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{6}\right)$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{11}{12}\right)$	$-i$
$\chi_{4290}(137,\cdot)$	4290.gd	60	no	$-1$	$1$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{7}{10}\right)$

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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	$4290$
Structure	\(C_{2}\times C_{2}\times C_{4}\times C_{60}\)
Order	$960$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(7\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)	\(47\)
\(\chi_{4290}(1,\cdot)\)	4290.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{4290}(7,\cdot)\)	4290.fj	60	no	\(-1\)	\(1\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{3}{5}\right)\)
\(\chi_{4290}(17,\cdot)\)	4290.fp	60	no	\(-1\)	\(1\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{9}{20}\right)\)
\(\chi_{4290}(19,\cdot)\)	4290.fk	60	no	\(1\)	\(1\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{19}{60}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{3}{20}\right)\)
\(\chi_{4290}(23,\cdot)\)	4290.dc	12	no	\(1\)	\(1\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(-1\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(-i\)
\(\chi_{4290}(29,\cdot)\)	4290.ez	30	no	\(1\)	\(1\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{3}{5}\right)\)
\(\chi_{4290}(31,\cdot)\)	4290.ej	20	no	\(-1\)	\(1\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(-1\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(-1\)	\(e\left(\frac{1}{20}\right)\)
\(\chi_{4290}(37,\cdot)\)	4290.gb	60	no	\(1\)	\(1\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{3}{5}\right)\)
\(\chi_{4290}(41,\cdot)\)	4290.fl	60	no	\(-1\)	\(1\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{19}{60}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{29}{60}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{3}{20}\right)\)
\(\chi_{4290}(43,\cdot)\)	4290.dg	12	no	\(1\)	\(1\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(-1\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(i\)
\(\chi_{4290}(47,\cdot)\)	4290.dt	20	no	\(-1\)	\(1\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(-i\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(i\)	\(e\left(\frac{9}{10}\right)\)
\(\chi_{4290}(49,\cdot)\)	4290.fa	30	no	\(1\)	\(1\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{1}{5}\right)\)
\(\chi_{4290}(53,\cdot)\)	4290.ef	20	no	\(1\)	\(1\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(-i\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(i\)	\(e\left(\frac{1}{20}\right)\)
\(\chi_{4290}(59,\cdot)\)	4290.fm	60	no	\(1\)	\(1\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{19}{60}\right)\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{7}{20}\right)\)
\(\chi_{4290}(61,\cdot)\)	4290.er	30	no	\(-1\)	\(1\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{5}\right)\)
\(\chi_{4290}(67,\cdot)\)	4290.dr	12	no	\(1\)	\(1\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(-i\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(-1\)
\(\chi_{4290}(71,\cdot)\)	4290.fw	60	no	\(1\)	\(1\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{43}{60}\right)\)	\(e\left(\frac{7}{60}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{19}{20}\right)\)
\(\chi_{4290}(73,\cdot)\)	4290.du	20	no	\(-1\)	\(1\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(-i\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(i\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{4290}(79,\cdot)\)	4290.cg	10	no	\(-1\)	\(1\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(-1\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(1\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{4290}(83,\cdot)\)	4290.ep	20	no	\(1\)	\(1\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(i\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(i\)	\(e\left(\frac{7}{10}\right)\)
\(\chi_{4290}(89,\cdot)\)	4290.dn	12	no	\(1\)	\(1\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(i\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(-i\)
\(\chi_{4290}(97,\cdot)\)	4290.fg	60	no	\(1\)	\(1\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{29}{60}\right)\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{4290}(101,\cdot)\)	4290.ff	30	no	\(1\)	\(1\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{4}{5}\right)\)
\(\chi_{4290}(103,\cdot)\)	4290.ee	20	no	\(-1\)	\(1\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(i\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(i\)	\(e\left(\frac{17}{20}\right)\)
\(\chi_{4290}(107,\cdot)\)	4290.fs	60	no	\(-1\)	\(1\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{7}{60}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{3}{20}\right)\)
\(\chi_{4290}(109,\cdot)\)	4290.x	4	no	\(1\)	\(1\)	\(i\)	\(-1\)	\(i\)	\(1\)	\(-1\)	\(-i\)	\(-i\)	\(i\)	\(-1\)	\(-i\)
\(\chi_{4290}(113,\cdot)\)	4290.fq	60	no	\(1\)	\(1\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{13}{20}\right)\)
\(\chi_{4290}(119,\cdot)\)	4290.fm	60	no	\(1\)	\(1\)	\(e\left(\frac{37}{60}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{20}\right)\)
\(\chi_{4290}(127,\cdot)\)	4290.fr	60	no	\(1\)	\(1\)	\(e\left(\frac{43}{60}\right)\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{53}{60}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{19}{20}\right)\)
\(\chi_{4290}(131,\cdot)\)	4290.f	2	no	\(1\)	\(1\)	\(-1\)	\(1\)	\(-1\)	\(-1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(-1\)	\(-1\)
\(\chi_{4290}(133,\cdot)\)	4290.dj	12	no	\(-1\)	\(1\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(1\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(-i\)
\(\chi_{4290}(137,\cdot)\)	4290.gd	60	no	\(-1\)	\(1\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{37}{60}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{7}{10}\right)\)

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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.