LMFDB - Group of Dirichlet characters of modulus 1476

Show commands: Pari/GP / SageMath

sage: H = DirichletGroup(1476)

pari: g = idealstar(,1476,2)

Character group

sage: G.order() pari: g.no
Order	=	480
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{120}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{1476}(739,\cdot)$, $\chi_{1476}(821,\cdot)$, $\chi_{1476}(1441,\cdot)$

First 32 of 480 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	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{1476}(1,\cdot)$	1476.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{1476}(5,\cdot)$	1476.cg	60	no	$-1$	$1$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{1}{15}\right)$
$\chi_{1476}(7,\cdot)$	1476.cl	120	yes	$1$	$1$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{23}{120}\right)$	$e\left(\frac{11}{120}\right)$	$e\left(\frac{67}{120}\right)$	$e\left(\frac{7}{40}\right)$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{59}{120}\right)$	$e\left(\frac{2}{15}\right)$
$\chi_{1476}(11,\cdot)$	1476.cj	120	yes	$-1$	$1$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{11}{120}\right)$	$e\left(\frac{107}{120}\right)$	$e\left(\frac{79}{120}\right)$	$e\left(\frac{39}{40}\right)$	$e\left(\frac{7}{40}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{83}{120}\right)$	$e\left(\frac{14}{15}\right)$
$\chi_{1476}(13,\cdot)$	1476.ci	120	no	$-1$	$1$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{67}{120}\right)$	$e\left(\frac{79}{120}\right)$	$e\left(\frac{83}{120}\right)$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{39}{40}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{91}{120}\right)$	$e\left(\frac{11}{30}\right)$
$\chi_{1476}(17,\cdot)$	1476.cb	40	no	$1$	$1$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{7}{40}\right)$	$e\left(\frac{39}{40}\right)$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{29}{40}\right)$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{1476}(19,\cdot)$	1476.ca	40	no	$1$	$1$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{7}{40}\right)$	$e\left(\frac{39}{40}\right)$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{4}{5}\right)$
$\chi_{1476}(23,\cdot)$	1476.bv	30	yes	$1$	$1$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{11}{30}\right)$
$\chi_{1476}(25,\cdot)$	1476.bx	30	no	$1$	$1$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{2}{15}\right)$
$\chi_{1476}(29,\cdot)$	1476.ck	120	no	$1$	$1$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{59}{120}\right)$	$e\left(\frac{83}{120}\right)$	$e\left(\frac{91}{120}\right)$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{47}{120}\right)$	$e\left(\frac{7}{30}\right)$
$\chi_{1476}(31,\cdot)$	1476.bz	30	yes	$-1$	$1$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{23}{30}\right)$
$\chi_{1476}(35,\cdot)$	1476.cc	40	no	$-1$	$1$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{39}{40}\right)$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{33}{40}\right)$	$e\left(\frac{9}{40}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{7}{40}\right)$	$e\left(\frac{1}{5}\right)$
$\chi_{1476}(37,\cdot)$	1476.n	5	no	$1$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{2}{5}\right)$
$\chi_{1476}(43,\cdot)$	1476.ce	60	yes	$-1$	$1$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{1}{30}\right)$
$\chi_{1476}(47,\cdot)$	1476.cj	120	yes	$-1$	$1$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{17}{120}\right)$	$e\left(\frac{89}{120}\right)$	$e\left(\frac{13}{120}\right)$	$e\left(\frac{13}{40}\right)$	$e\left(\frac{29}{40}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{41}{120}\right)$	$e\left(\frac{8}{15}\right)$
$\chi_{1476}(49,\cdot)$	1476.cf	60	no	$1$	$1$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{4}{15}\right)$
$\chi_{1476}(53,\cdot)$	1476.cb	40	no	$1$	$1$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{13}{40}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{37}{40}\right)$	$e\left(\frac{31}{40}\right)$	$e\left(\frac{3}{40}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{9}{40}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{1476}(55,\cdot)$	1476.y	8	no	$1$	$1$	$-i$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{1}{8}\right)$	$1$	$-1$	$e\left(\frac{3}{8}\right)$	$1$
$\chi_{1476}(59,\cdot)$	1476.bu	30	yes	$1$	$1$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{11}{30}\right)$
$\chi_{1476}(61,\cdot)$	1476.cf	60	no	$1$	$1$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{2}{15}\right)$
$\chi_{1476}(65,\cdot)$	1476.ck	120	no	$1$	$1$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{41}{120}\right)$	$e\left(\frac{17}{120}\right)$	$e\left(\frac{49}{120}\right)$	$e\left(\frac{9}{40}\right)$	$e\left(\frac{37}{40}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{53}{120}\right)$	$e\left(\frac{13}{30}\right)$
$\chi_{1476}(67,\cdot)$	1476.cl	120	yes	$1$	$1$	$e\left(\frac{1}{60}\right)$	$e\left(\frac{49}{120}\right)$	$e\left(\frac{13}{120}\right)$	$e\left(\frac{101}{120}\right)$	$e\left(\frac{1}{40}\right)$	$e\left(\frac{13}{40}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{37}{120}\right)$	$e\left(\frac{1}{15}\right)$
$\chi_{1476}(71,\cdot)$	1476.cc	40	no	$-1$	$1$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{37}{40}\right)$	$e\left(\frac{29}{40}\right)$	$e\left(\frac{33}{40}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{3}{5}\right)$
$\chi_{1476}(73,\cdot)$	1476.k	4	no	$1$	$1$	$-1$	$-i$	$-i$	$-i$	$i$	$i$	$1$	$1$	$-i$	$1$
$\chi_{1476}(77,\cdot)$	1476.cg	60	no	$-1$	$1$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{1}{15}\right)$
$\chi_{1476}(79,\cdot)$	1476.bp	24	yes	$1$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{1}{3}\right)$
$\chi_{1476}(83,\cdot)$	1476.t	6	no	$1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$-1$	$-1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{6}\right)$
$\chi_{1476}(85,\cdot)$	1476.bs	24	no	$-1$	$1$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{1}{6}\right)$
$\chi_{1476}(89,\cdot)$	1476.cb	40	no	$1$	$1$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{1}{40}\right)$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{9}{40}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{31}{40}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{13}{40}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{1476}(91,\cdot)$	1476.j	4	no	$-1$	$1$	$-1$	$-i$	$-i$	$i$	$-i$	$i$	$-1$	$1$	$i$	$-1$
$\chi_{1476}(95,\cdot)$	1476.cj	120	yes	$-1$	$1$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{7}{120}\right)$	$e\left(\frac{79}{120}\right)$	$e\left(\frac{83}{120}\right)$	$e\left(\frac{3}{40}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{31}{120}\right)$	$e\left(\frac{13}{15}\right)$
$\chi_{1476}(97,\cdot)$	1476.ci	120	no	$-1$	$1$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{89}{120}\right)$	$e\left(\frac{53}{120}\right)$	$e\left(\frac{1}{120}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{13}{40}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{17}{120}\right)$	$e\left(\frac{7}{30}\right)$

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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	$1476$
Structure	\(C_{2}\times C_{2}\times C_{120}\)
Order	$480$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)
\(\chi_{1476}(1,\cdot)\)	1476.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{1476}(5,\cdot)\)	1476.cg	60	no	\(-1\)	\(1\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{29}{60}\right)\)	\(e\left(\frac{43}{60}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{1}{15}\right)\)
\(\chi_{1476}(7,\cdot)\)	1476.cl	120	yes	\(1\)	\(1\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{23}{120}\right)\)	\(e\left(\frac{11}{120}\right)\)	\(e\left(\frac{67}{120}\right)\)	\(e\left(\frac{7}{40}\right)\)	\(e\left(\frac{11}{40}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{59}{120}\right)\)	\(e\left(\frac{2}{15}\right)\)
\(\chi_{1476}(11,\cdot)\)	1476.cj	120	yes	\(-1\)	\(1\)	\(e\left(\frac{29}{60}\right)\)	\(e\left(\frac{11}{120}\right)\)	\(e\left(\frac{107}{120}\right)\)	\(e\left(\frac{79}{120}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{7}{40}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{83}{120}\right)\)	\(e\left(\frac{14}{15}\right)\)
\(\chi_{1476}(13,\cdot)\)	1476.ci	120	no	\(-1\)	\(1\)	\(e\left(\frac{43}{60}\right)\)	\(e\left(\frac{67}{120}\right)\)	\(e\left(\frac{79}{120}\right)\)	\(e\left(\frac{83}{120}\right)\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{91}{120}\right)\)	\(e\left(\frac{11}{30}\right)\)
\(\chi_{1476}(17,\cdot)\)	1476.cb	40	no	\(1\)	\(1\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{7}{40}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{11}{40}\right)\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{1476}(19,\cdot)\)	1476.ca	40	no	\(1\)	\(1\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{11}{40}\right)\)	\(e\left(\frac{7}{40}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{4}{5}\right)\)
\(\chi_{1476}(23,\cdot)\)	1476.bv	30	yes	\(1\)	\(1\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)
\(\chi_{1476}(25,\cdot)\)	1476.bx	30	no	\(1\)	\(1\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{2}{15}\right)\)
\(\chi_{1476}(29,\cdot)\)	1476.ck	120	no	\(1\)	\(1\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{59}{120}\right)\)	\(e\left(\frac{83}{120}\right)\)	\(e\left(\frac{91}{120}\right)\)	\(e\left(\frac{11}{40}\right)\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{47}{120}\right)\)	\(e\left(\frac{7}{30}\right)\)
\(\chi_{1476}(31,\cdot)\)	1476.bz	30	yes	\(-1\)	\(1\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{23}{30}\right)\)
\(\chi_{1476}(35,\cdot)\)	1476.cc	40	no	\(-1\)	\(1\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{11}{40}\right)\)	\(e\left(\frac{33}{40}\right)\)	\(e\left(\frac{9}{40}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{7}{40}\right)\)	\(e\left(\frac{1}{5}\right)\)
\(\chi_{1476}(37,\cdot)\)	1476.n	5	no	\(1\)	\(1\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{2}{5}\right)\)
\(\chi_{1476}(43,\cdot)\)	1476.ce	60	yes	\(-1\)	\(1\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{31}{60}\right)\)	\(e\left(\frac{7}{60}\right)\)	\(e\left(\frac{29}{60}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{1}{30}\right)\)
\(\chi_{1476}(47,\cdot)\)	1476.cj	120	yes	\(-1\)	\(1\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{17}{120}\right)\)	\(e\left(\frac{89}{120}\right)\)	\(e\left(\frac{13}{120}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{41}{120}\right)\)	\(e\left(\frac{8}{15}\right)\)
\(\chi_{1476}(49,\cdot)\)	1476.cf	60	no	\(1\)	\(1\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{7}{60}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{4}{15}\right)\)
\(\chi_{1476}(53,\cdot)\)	1476.cb	40	no	\(1\)	\(1\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{37}{40}\right)\)	\(e\left(\frac{31}{40}\right)\)	\(e\left(\frac{3}{40}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{9}{40}\right)\)	\(e\left(\frac{9}{10}\right)\)
\(\chi_{1476}(55,\cdot)\)	1476.y	8	no	\(1\)	\(1\)	\(-i\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(1\)	\(-1\)	\(e\left(\frac{3}{8}\right)\)	\(1\)
\(\chi_{1476}(59,\cdot)\)	1476.bu	30	yes	\(1\)	\(1\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{11}{30}\right)\)
\(\chi_{1476}(61,\cdot)\)	1476.cf	60	no	\(1\)	\(1\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{49}{60}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{37}{60}\right)\)	\(e\left(\frac{2}{15}\right)\)
\(\chi_{1476}(65,\cdot)\)	1476.ck	120	no	\(1\)	\(1\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{41}{120}\right)\)	\(e\left(\frac{17}{120}\right)\)	\(e\left(\frac{49}{120}\right)\)	\(e\left(\frac{9}{40}\right)\)	\(e\left(\frac{37}{40}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{53}{120}\right)\)	\(e\left(\frac{13}{30}\right)\)
\(\chi_{1476}(67,\cdot)\)	1476.cl	120	yes	\(1\)	\(1\)	\(e\left(\frac{1}{60}\right)\)	\(e\left(\frac{49}{120}\right)\)	\(e\left(\frac{13}{120}\right)\)	\(e\left(\frac{101}{120}\right)\)	\(e\left(\frac{1}{40}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{37}{120}\right)\)	\(e\left(\frac{1}{15}\right)\)
\(\chi_{1476}(71,\cdot)\)	1476.cc	40	no	\(-1\)	\(1\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{37}{40}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{33}{40}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{3}{5}\right)\)
\(\chi_{1476}(73,\cdot)\)	1476.k	4	no	\(1\)	\(1\)	\(-1\)	\(-i\)	\(-i\)	\(-i\)	\(i\)	\(i\)	\(1\)	\(1\)	\(-i\)	\(1\)
\(\chi_{1476}(77,\cdot)\)	1476.cg	60	no	\(-1\)	\(1\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{1}{15}\right)\)
\(\chi_{1476}(79,\cdot)\)	1476.bp	24	yes	\(1\)	\(1\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{1}{3}\right)\)
\(\chi_{1476}(83,\cdot)\)	1476.t	6	no	\(1\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(-1\)	\(-1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)
\(\chi_{1476}(85,\cdot)\)	1476.bs	24	no	\(-1\)	\(1\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{1}{6}\right)\)
\(\chi_{1476}(89,\cdot)\)	1476.cb	40	no	\(1\)	\(1\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{1}{40}\right)\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{9}{40}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{31}{40}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{1476}(91,\cdot)\)	1476.j	4	no	\(-1\)	\(1\)	\(-1\)	\(-i\)	\(-i\)	\(i\)	\(-i\)	\(i\)	\(-1\)	\(1\)	\(i\)	\(-1\)
\(\chi_{1476}(95,\cdot)\)	1476.cj	120	yes	\(-1\)	\(1\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{7}{120}\right)\)	\(e\left(\frac{79}{120}\right)\)	\(e\left(\frac{83}{120}\right)\)	\(e\left(\frac{3}{40}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{31}{120}\right)\)	\(e\left(\frac{13}{15}\right)\)
\(\chi_{1476}(97,\cdot)\)	1476.ci	120	no	\(-1\)	\(1\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{89}{120}\right)\)	\(e\left(\frac{53}{120}\right)\)	\(e\left(\frac{1}{120}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{17}{120}\right)\)	\(e\left(\frac{7}{30}\right)\)

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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.