LMFDB - Group of Dirichlet characters of modulus 2952

Show commands: Magma / Pari/GP / SageMath

comment:Define the Dirichlet group

sage:G = DirichletGroup(2952)

gp:g = idealstar(,2952,2)

magma:G = FullDirichletGroup(2952);

Character group

Order	=	960	comment:Order sage:G.order() gp:g.no magma:Order(G);
Structure	=	$C_{2}\times C_{2}\times C_{2}\times C_{120}$	comment:Group structure sage:sorted(g.order() for g in G.gens()) gp:g.cyc magma:PrimaryInvariants(G);
Generators	=	$\chi_{2952}(2215,\cdot)$, $\chi_{2952}(1477,\cdot)$, $\chi_{2952}(2297,\cdot)$, $\chi_{2952}(1441,\cdot)$	comment:Generators sage:G.gens() gp:g.gen magma:Generators(G);

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	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{2952}(1,\cdot)$	2952.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{2952}(5,\cdot)$	2952.ej	60	yes	$-1$	$1$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{1}{15}\right)$
$\chi_{2952}(7,\cdot)$	2952.ew	120	no	$1$	$1$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{23}{120}\right)$	$e\left(\frac{11}{120}\right)$	$e\left(\frac{67}{120}\right)$	$e\left(\frac{7}{40}\right)$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{59}{120}\right)$	$e\left(\frac{2}{15}\right)$
$\chi_{2952}(11,\cdot)$	2952.et	120	yes	$-1$	$1$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{11}{120}\right)$	$e\left(\frac{47}{120}\right)$	$e\left(\frac{19}{120}\right)$	$e\left(\frac{39}{40}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{23}{120}\right)$	$e\left(\frac{14}{15}\right)$
$\chi_{2952}(13,\cdot)$	2952.er	120	yes	$-1$	$1$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{67}{120}\right)$	$e\left(\frac{19}{120}\right)$	$e\left(\frac{23}{120}\right)$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{31}{120}\right)$	$e\left(\frac{11}{30}\right)$
$\chi_{2952}(17,\cdot)$	2952.ec	40	no	$1$	$1$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{7}{40}\right)$	$e\left(\frac{39}{40}\right)$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{29}{40}\right)$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{2952}(19,\cdot)$	2952.eb	40	no	$1$	$1$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{1}{40}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{3}{40}\right)$	$e\left(\frac{4}{5}\right)$
$\chi_{2952}(23,\cdot)$	2952.dp	30	no	$1$	$1$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{11}{30}\right)$
$\chi_{2952}(25,\cdot)$	2952.du	30	no	$1$	$1$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{2}{15}\right)$
$\chi_{2952}(29,\cdot)$	2952.ev	120	yes	$1$	$1$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{59}{120}\right)$	$e\left(\frac{23}{120}\right)$	$e\left(\frac{31}{120}\right)$	$e\left(\frac{11}{40}\right)$	$e\left(\frac{3}{40}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{107}{120}\right)$	$e\left(\frac{7}{30}\right)$
$\chi_{2952}(31,\cdot)$	2952.dx	30	no	$-1$	$1$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{23}{30}\right)$
$\chi_{2952}(35,\cdot)$	2952.ef	40	no	$-1$	$1$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{39}{40}\right)$	$e\left(\frac{3}{40}\right)$	$e\left(\frac{31}{40}\right)$	$e\left(\frac{33}{40}\right)$	$e\left(\frac{29}{40}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{1}{5}\right)$
$\chi_{2952}(37,\cdot)$	2952.ch	10	no	$1$	$1$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{2}{5}\right)$
$\chi_{2952}(43,\cdot)$	2952.em	60	yes	$-1$	$1$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{1}{30}\right)$
$\chi_{2952}(47,\cdot)$	2952.es	120	no	$-1$	$1$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{17}{120}\right)$	$e\left(\frac{89}{120}\right)$	$e\left(\frac{13}{120}\right)$	$e\left(\frac{13}{40}\right)$	$e\left(\frac{29}{40}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{41}{120}\right)$	$e\left(\frac{8}{15}\right)$
$\chi_{2952}(49,\cdot)$	2952.el	60	no	$1$	$1$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{4}{15}\right)$
$\chi_{2952}(53,\cdot)$	2952.ed	40	no	$1$	$1$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{13}{40}\right)$	$e\left(\frac{1}{40}\right)$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{31}{40}\right)$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{29}{40}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{2952}(55,\cdot)$	2952.bw	8	no	$1$	$1$	$-i$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{1}{8}\right)$	$1$	$-1$	$e\left(\frac{3}{8}\right)$	$1$
$\chi_{2952}(59,\cdot)$	2952.dt	30	yes	$1$	$1$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{11}{30}\right)$
$\chi_{2952}(61,\cdot)$	2952.ep	60	yes	$1$	$1$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{2}{15}\right)$
$\chi_{2952}(65,\cdot)$	2952.eu	120	no	$1$	$1$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{41}{120}\right)$	$e\left(\frac{17}{120}\right)$	$e\left(\frac{49}{120}\right)$	$e\left(\frac{9}{40}\right)$	$e\left(\frac{37}{40}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{53}{120}\right)$	$e\left(\frac{13}{30}\right)$
$\chi_{2952}(67,\cdot)$	2952.ex	120	yes	$1$	$1$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{49}{120}\right)$	$e\left(\frac{73}{120}\right)$	$e\left(\frac{41}{120}\right)$	$e\left(\frac{1}{40}\right)$	$e\left(\frac{33}{40}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{97}{120}\right)$	$e\left(\frac{1}{15}\right)$
$\chi_{2952}(71,\cdot)$	2952.ee	40	no	$-1$	$1$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{37}{40}\right)$	$e\left(\frac{29}{40}\right)$	$e\left(\frac{33}{40}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{21}{40}\right)$	$e\left(\frac{3}{5}\right)$
$\chi_{2952}(73,\cdot)$	2952.u	4	no	$1$	$1$	$-1$	$-i$	$-i$	$-i$	$i$	$i$	$1$	$1$	$-i$	$1$
$\chi_{2952}(77,\cdot)$	2952.ej	60	yes	$-1$	$1$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{17}{60}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{43}{60}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{1}{15}\right)$
$\chi_{2952}(79,\cdot)$	2952.de	24	no	$1$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{1}{3}\right)$
$\chi_{2952}(83,\cdot)$	2952.bg	6	no	$1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{6}\right)$	$-1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$
$\chi_{2952}(85,\cdot)$	2952.dj	24	yes	$-1$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{1}{6}\right)$
$\chi_{2952}(89,\cdot)$	2952.ec	40	no	$1$	$1$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{1}{40}\right)$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{9}{40}\right)$	$e\left(\frac{27}{40}\right)$	$e\left(\frac{31}{40}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{13}{40}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{2952}(91,\cdot)$	2952.v	4	no	$-1$	$1$	$1$	$-i$	$i$	$-i$	$-i$	$-i$	$-1$	$1$	$-i$	$-1$
$\chi_{2952}(95,\cdot)$	2952.es	120	no	$-1$	$1$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{7}{120}\right)$	$e\left(\frac{79}{120}\right)$	$e\left(\frac{83}{120}\right)$	$e\left(\frac{3}{40}\right)$	$e\left(\frac{19}{40}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{31}{120}\right)$	$e\left(\frac{13}{15}\right)$
$\chi_{2952}(97,\cdot)$	2952.eq	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 $\F_{q}$
Belyi maps

Modulus	$2952$
Structure	\(C_{2}\times C_{2}\times C_{2}\times C_{120}\)
Order	$960$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)
\(\chi_{2952}(1,\cdot)\)	2952.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{2952}(5,\cdot)\)	2952.ej	60	yes	\(-1\)	\(1\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{1}{15}\right)\)
\(\chi_{2952}(7,\cdot)\)	2952.ew	120	no	\(1\)	\(1\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{23}{120}\right)\)	\(e\left(\frac{11}{120}\right)\)	\(e\left(\frac{67}{120}\right)\)	\(e\left(\frac{7}{40}\right)\)	\(e\left(\frac{11}{40}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{59}{120}\right)\)	\(e\left(\frac{2}{15}\right)\)
\(\chi_{2952}(11,\cdot)\)	2952.et	120	yes	\(-1\)	\(1\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{11}{120}\right)\)	\(e\left(\frac{47}{120}\right)\)	\(e\left(\frac{19}{120}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{23}{120}\right)\)	\(e\left(\frac{14}{15}\right)\)
\(\chi_{2952}(13,\cdot)\)	2952.er	120	yes	\(-1\)	\(1\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{67}{120}\right)\)	\(e\left(\frac{19}{120}\right)\)	\(e\left(\frac{23}{120}\right)\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{31}{120}\right)\)	\(e\left(\frac{11}{30}\right)\)
\(\chi_{2952}(17,\cdot)\)	2952.ec	40	no	\(1\)	\(1\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{7}{40}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{11}{40}\right)\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{2952}(19,\cdot)\)	2952.eb	40	no	\(1\)	\(1\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{11}{40}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{1}{40}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{3}{40}\right)\)	\(e\left(\frac{4}{5}\right)\)
\(\chi_{2952}(23,\cdot)\)	2952.dp	30	no	\(1\)	\(1\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)
\(\chi_{2952}(25,\cdot)\)	2952.du	30	no	\(1\)	\(1\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{2}{15}\right)\)
\(\chi_{2952}(29,\cdot)\)	2952.ev	120	yes	\(1\)	\(1\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{59}{120}\right)\)	\(e\left(\frac{23}{120}\right)\)	\(e\left(\frac{31}{120}\right)\)	\(e\left(\frac{11}{40}\right)\)	\(e\left(\frac{3}{40}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{107}{120}\right)\)	\(e\left(\frac{7}{30}\right)\)
\(\chi_{2952}(31,\cdot)\)	2952.dx	30	no	\(-1\)	\(1\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{23}{30}\right)\)
\(\chi_{2952}(35,\cdot)\)	2952.ef	40	no	\(-1\)	\(1\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{3}{40}\right)\)	\(e\left(\frac{31}{40}\right)\)	\(e\left(\frac{33}{40}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{1}{5}\right)\)
\(\chi_{2952}(37,\cdot)\)	2952.ch	10	no	\(1\)	\(1\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{2}{5}\right)\)
\(\chi_{2952}(43,\cdot)\)	2952.em	60	yes	\(-1\)	\(1\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{31}{60}\right)\)	\(e\left(\frac{37}{60}\right)\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{43}{60}\right)\)	\(e\left(\frac{1}{30}\right)\)
\(\chi_{2952}(47,\cdot)\)	2952.es	120	no	\(-1\)	\(1\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{17}{120}\right)\)	\(e\left(\frac{89}{120}\right)\)	\(e\left(\frac{13}{120}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{41}{120}\right)\)	\(e\left(\frac{8}{15}\right)\)
\(\chi_{2952}(49,\cdot)\)	2952.el	60	no	\(1\)	\(1\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{7}{60}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{4}{15}\right)\)
\(\chi_{2952}(53,\cdot)\)	2952.ed	40	no	\(1\)	\(1\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(e\left(\frac{1}{40}\right)\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{31}{40}\right)\)	\(e\left(\frac{23}{40}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{9}{10}\right)\)
\(\chi_{2952}(55,\cdot)\)	2952.bw	8	no	\(1\)	\(1\)	\(-i\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(1\)	\(-1\)	\(e\left(\frac{3}{8}\right)\)	\(1\)
\(\chi_{2952}(59,\cdot)\)	2952.dt	30	yes	\(1\)	\(1\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)
\(\chi_{2952}(61,\cdot)\)	2952.ep	60	yes	\(1\)	\(1\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{49}{60}\right)\)	\(e\left(\frac{43}{60}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{7}{60}\right)\)	\(e\left(\frac{2}{15}\right)\)
\(\chi_{2952}(65,\cdot)\)	2952.eu	120	no	\(1\)	\(1\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{41}{120}\right)\)	\(e\left(\frac{17}{120}\right)\)	\(e\left(\frac{49}{120}\right)\)	\(e\left(\frac{9}{40}\right)\)	\(e\left(\frac{37}{40}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{53}{120}\right)\)	\(e\left(\frac{13}{30}\right)\)
\(\chi_{2952}(67,\cdot)\)	2952.ex	120	yes	\(1\)	\(1\)	\(e\left(\frac{31}{60}\right)\)	\(e\left(\frac{49}{120}\right)\)	\(e\left(\frac{73}{120}\right)\)	\(e\left(\frac{41}{120}\right)\)	\(e\left(\frac{1}{40}\right)\)	\(e\left(\frac{33}{40}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{97}{120}\right)\)	\(e\left(\frac{1}{15}\right)\)
\(\chi_{2952}(71,\cdot)\)	2952.ee	40	no	\(-1\)	\(1\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{37}{40}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{33}{40}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{21}{40}\right)\)	\(e\left(\frac{3}{5}\right)\)
\(\chi_{2952}(73,\cdot)\)	2952.u	4	no	\(1\)	\(1\)	\(-1\)	\(-i\)	\(-i\)	\(-i\)	\(i\)	\(i\)	\(1\)	\(1\)	\(-i\)	\(1\)
\(\chi_{2952}(77,\cdot)\)	2952.ej	60	yes	\(-1\)	\(1\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{29}{60}\right)\)	\(e\left(\frac{43}{60}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{1}{15}\right)\)
\(\chi_{2952}(79,\cdot)\)	2952.de	24	no	\(1\)	\(1\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{1}{3}\right)\)
\(\chi_{2952}(83,\cdot)\)	2952.bg	6	no	\(1\)	\(1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(-1\)	\(1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{6}\right)\)
\(\chi_{2952}(85,\cdot)\)	2952.dj	24	yes	\(-1\)	\(1\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{1}{6}\right)\)
\(\chi_{2952}(89,\cdot)\)	2952.ec	40	no	\(1\)	\(1\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{1}{40}\right)\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{9}{40}\right)\)	\(e\left(\frac{27}{40}\right)\)	\(e\left(\frac{31}{40}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{2952}(91,\cdot)\)	2952.v	4	no	\(-1\)	\(1\)	\(1\)	\(-i\)	\(i\)	\(-i\)	\(-i\)	\(-i\)	\(-1\)	\(1\)	\(-i\)	\(-1\)
\(\chi_{2952}(95,\cdot)\)	2952.es	120	no	\(-1\)	\(1\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{7}{120}\right)\)	\(e\left(\frac{79}{120}\right)\)	\(e\left(\frac{83}{120}\right)\)	\(e\left(\frac{3}{40}\right)\)	\(e\left(\frac{19}{40}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{31}{120}\right)\)	\(e\left(\frac{13}{15}\right)\)
\(\chi_{2952}(97,\cdot)\)	2952.eq	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.