LMFDB - Group of Dirichlet characters of modulus 11550

Show commands: PariGP / SageMath

sage: H = DirichletGroup(11550)

pari: g = idealstar(,11550,2)

Character group

sage: G.order() pari: g.no
Order	=	2400
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{10}\times C_{60}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{11550}(3851,\cdot)$, $\chi_{11550}(10627,\cdot)$, $\chi_{11550}(9901,\cdot)$, $\chi_{11550}(9451,\cdot)$

First 32 of 2400 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	$-1$	$1$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$	$47$
$\chi_{11550}(1,\cdot)$	11550.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{11550}(13,\cdot)$	11550.ha	20	no	$-1$	$1$	$e\left(\frac{13}{20}\right)$	$-i$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{7}{10}\right)$	$-i$	$e\left(\frac{3}{5}\right)$	$-i$	$e\left(\frac{9}{20}\right)$
$\chi_{11550}(17,\cdot)$	11550.lr	60	no	$1$	$1$	$-i$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{3}{10}\right)$	$i$	$e\left(\frac{7}{12}\right)$
$\chi_{11550}(19,\cdot)$	11550.jw	30	no	$1$	$1$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{30}\right)$	$1$	$1$	$e\left(\frac{13}{15}\right)$
$\chi_{11550}(23,\cdot)$	11550.lo	60	no	$1$	$1$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{7}{10}\right)$	$i$	$e\left(\frac{31}{60}\right)$
$\chi_{11550}(29,\cdot)$	11550.db	10	no	$1$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{3}{5}\right)$	$1$	$e\left(\frac{3}{10}\right)$	$1$	$1$	$e\left(\frac{4}{5}\right)$
$\chi_{11550}(31,\cdot)$	11550.ka	30	no	$-1$	$1$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{15}\right)$	$1$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{9}{10}\right)$	$1$	$e\left(\frac{13}{30}\right)$
$\chi_{11550}(37,\cdot)$	11550.lv	60	no	$-1$	$1$	$-i$	$e\left(\frac{59}{60}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{2}{5}\right)$	$-i$	$e\left(\frac{11}{12}\right)$
$\chi_{11550}(41,\cdot)$	11550.dh	10	no	$-1$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{3}{10}\right)$	$1$	$e\left(\frac{7}{10}\right)$	$1$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{7}{10}\right)$	$-1$	$e\left(\frac{4}{5}\right)$
$\chi_{11550}(43,\cdot)$	11550.y	4	no	$1$	$1$	$-i$	$i$	$1$	$i$	$1$	$1$	$-i$	$-1$	$-i$	$-i$
$\chi_{11550}(47,\cdot)$	11550.me	60	no	$-1$	$1$	$e\left(\frac{9}{20}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{4}{5}\right)$	$-i$	$e\left(\frac{31}{60}\right)$
$\chi_{11550}(53,\cdot)$	11550.lm	60	no	$1$	$1$	$i$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{7}{10}\right)$	$i$	$e\left(\frac{7}{12}\right)$
$\chi_{11550}(59,\cdot)$	11550.kw	30	no	$1$	$1$	$1$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{2}{5}\right)$	$-1$	$e\left(\frac{5}{6}\right)$
$\chi_{11550}(61,\cdot)$	11550.ia	30	no	$1$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{5}\right)$	$-1$	$e\left(\frac{29}{30}\right)$
$\chi_{11550}(67,\cdot)$	11550.lw	60	no	$-1$	$1$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{7}{60}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{29}{60}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{3}{5}\right)$	$-i$	$e\left(\frac{23}{60}\right)$
$\chi_{11550}(71,\cdot)$	11550.dg	10	no	$-1$	$1$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{9}{10}\right)$	$1$	$e\left(\frac{1}{10}\right)$	$-1$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{10}\right)$	$1$	$e\left(\frac{9}{10}\right)$
$\chi_{11550}(73,\cdot)$	11550.mw	60	no	$-1$	$1$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{23}{60}\right)$	$1$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{41}{60}\right)$	$e\left(\frac{4}{5}\right)$	$-i$	$e\left(\frac{47}{60}\right)$
$\chi_{11550}(79,\cdot)$	11550.la	30	no	$-1$	$1$	$1$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{7}{10}\right)$	$1$	$e\left(\frac{1}{6}\right)$
$\chi_{11550}(83,\cdot)$	11550.hk	20	no	$1$	$1$	$i$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{3}{10}\right)$	$-i$	$-i$
$\chi_{11550}(89,\cdot)$	11550.ih	30	no	$1$	$1$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{1}{5}\right)$	$-1$	$e\left(\frac{23}{30}\right)$
$\chi_{11550}(97,\cdot)$	11550.gn	20	no	$1$	$1$	$i$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{7}{10}\right)$	$-i$	$-i$
$\chi_{11550}(101,\cdot)$	11550.in	30	no	$-1$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{3}{10}\right)$	$-1$	$e\left(\frac{2}{15}\right)$
$\chi_{11550}(103,\cdot)$	11550.mt	60	no	$1$	$1$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{13}{60}\right)$	$-1$	$i$	$e\left(\frac{43}{60}\right)$
$\chi_{11550}(107,\cdot)$	11550.mq	60	no	$-1$	$1$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{2}{5}\right)$	$i$	$e\left(\frac{49}{60}\right)$
$\chi_{11550}(109,\cdot)$	11550.iv	30	no	$-1$	$1$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{3}{10}\right)$	$1$	$e\left(\frac{7}{30}\right)$
$\chi_{11550}(113,\cdot)$	11550.fw	20	no	$1$	$1$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{1}{20}\right)$	$-1$	$e\left(\frac{19}{20}\right)$	$1$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{7}{10}\right)$	$i$	$e\left(\frac{1}{20}\right)$
$\chi_{11550}(127,\cdot)$	11550.fz	20	no	$1$	$1$	$e\left(\frac{17}{20}\right)$	$-i$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{4}{5}\right)$	$i$	$e\left(\frac{9}{10}\right)$	$i$	$e\left(\frac{1}{20}\right)$
$\chi_{11550}(131,\cdot)$	11550.ij	30	no	$-1$	$1$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{1}{10}\right)$	$-1$	$e\left(\frac{7}{15}\right)$
$\chi_{11550}(137,\cdot)$	11550.lg	60	no	$1$	$1$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{11}{60}\right)$	$-1$	$-i$	$e\left(\frac{41}{60}\right)$
$\chi_{11550}(139,\cdot)$	11550.et	10	no	$1$	$1$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{7}{10}\right)$	$1$	$e\left(\frac{3}{10}\right)$	$-1$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{4}{5}\right)$	$1$	$e\left(\frac{1}{5}\right)$
$\chi_{11550}(149,\cdot)$	11550.id	30	no	$1$	$1$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{1}{5}\right)$	$1$	$e\left(\frac{13}{15}\right)$
$\chi_{11550}(151,\cdot)$	11550.jo	30	no	$-1$	$1$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{9}{10}\right)$	$-1$	$e\left(\frac{11}{15}\right)$

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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	$11550$
Structure	\(C_{2}\times C_{2}\times C_{10}\times C_{60}\)
Order	$2400$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)	\(47\)
\(\chi_{11550}(1,\cdot)\)	11550.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{11550}(13,\cdot)\)	11550.ha	20	no	\(-1\)	\(1\)	\(e\left(\frac{13}{20}\right)\)	\(-i\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(-i\)	\(e\left(\frac{3}{5}\right)\)	\(-i\)	\(e\left(\frac{9}{20}\right)\)
\(\chi_{11550}(17,\cdot)\)	11550.lr	60	no	\(1\)	\(1\)	\(-i\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(i\)	\(e\left(\frac{7}{12}\right)\)
\(\chi_{11550}(19,\cdot)\)	11550.jw	30	no	\(1\)	\(1\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(1\)	\(1\)	\(e\left(\frac{13}{15}\right)\)
\(\chi_{11550}(23,\cdot)\)	11550.lo	60	no	\(1\)	\(1\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{37}{60}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(i\)	\(e\left(\frac{31}{60}\right)\)
\(\chi_{11550}(29,\cdot)\)	11550.db	10	no	\(1\)	\(1\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(1\)	\(e\left(\frac{3}{10}\right)\)	\(1\)	\(1\)	\(e\left(\frac{4}{5}\right)\)
\(\chi_{11550}(31,\cdot)\)	11550.ka	30	no	\(-1\)	\(1\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(1\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(1\)	\(e\left(\frac{13}{30}\right)\)
\(\chi_{11550}(37,\cdot)\)	11550.lv	60	no	\(-1\)	\(1\)	\(-i\)	\(e\left(\frac{59}{60}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{37}{60}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{7}{60}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(-i\)	\(e\left(\frac{11}{12}\right)\)
\(\chi_{11550}(41,\cdot)\)	11550.dh	10	no	\(-1\)	\(1\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(1\)	\(e\left(\frac{7}{10}\right)\)	\(1\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(-1\)	\(e\left(\frac{4}{5}\right)\)
\(\chi_{11550}(43,\cdot)\)	11550.y	4	no	\(1\)	\(1\)	\(-i\)	\(i\)	\(1\)	\(i\)	\(1\)	\(1\)	\(-i\)	\(-1\)	\(-i\)	\(-i\)
\(\chi_{11550}(47,\cdot)\)	11550.me	60	no	\(-1\)	\(1\)	\(e\left(\frac{9}{20}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{31}{60}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(-i\)	\(e\left(\frac{31}{60}\right)\)
\(\chi_{11550}(53,\cdot)\)	11550.lm	60	no	\(1\)	\(1\)	\(i\)	\(e\left(\frac{7}{60}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(i\)	\(e\left(\frac{7}{12}\right)\)
\(\chi_{11550}(59,\cdot)\)	11550.kw	30	no	\(1\)	\(1\)	\(1\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(-1\)	\(e\left(\frac{5}{6}\right)\)
\(\chi_{11550}(61,\cdot)\)	11550.ia	30	no	\(1\)	\(1\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(-1\)	\(e\left(\frac{29}{30}\right)\)
\(\chi_{11550}(67,\cdot)\)	11550.lw	60	no	\(-1\)	\(1\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{7}{60}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{29}{60}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(-i\)	\(e\left(\frac{23}{60}\right)\)
\(\chi_{11550}(71,\cdot)\)	11550.dg	10	no	\(-1\)	\(1\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(1\)	\(e\left(\frac{1}{10}\right)\)	\(-1\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(1\)	\(e\left(\frac{9}{10}\right)\)
\(\chi_{11550}(73,\cdot)\)	11550.mw	60	no	\(-1\)	\(1\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{37}{60}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{23}{60}\right)\)	\(1\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(-i\)	\(e\left(\frac{47}{60}\right)\)
\(\chi_{11550}(79,\cdot)\)	11550.la	30	no	\(-1\)	\(1\)	\(1\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(1\)	\(e\left(\frac{1}{6}\right)\)
\(\chi_{11550}(83,\cdot)\)	11550.hk	20	no	\(1\)	\(1\)	\(i\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(-i\)	\(-i\)
\(\chi_{11550}(89,\cdot)\)	11550.ih	30	no	\(1\)	\(1\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(-1\)	\(e\left(\frac{23}{30}\right)\)
\(\chi_{11550}(97,\cdot)\)	11550.gn	20	no	\(1\)	\(1\)	\(i\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(-i\)	\(-i\)
\(\chi_{11550}(101,\cdot)\)	11550.in	30	no	\(-1\)	\(1\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(-1\)	\(e\left(\frac{2}{15}\right)\)
\(\chi_{11550}(103,\cdot)\)	11550.mt	60	no	\(1\)	\(1\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{31}{60}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(-1\)	\(i\)	\(e\left(\frac{43}{60}\right)\)
\(\chi_{11550}(107,\cdot)\)	11550.mq	60	no	\(-1\)	\(1\)	\(e\left(\frac{1}{20}\right)\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{31}{60}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(i\)	\(e\left(\frac{49}{60}\right)\)
\(\chi_{11550}(109,\cdot)\)	11550.iv	30	no	\(-1\)	\(1\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(1\)	\(e\left(\frac{7}{30}\right)\)
\(\chi_{11550}(113,\cdot)\)	11550.fw	20	no	\(1\)	\(1\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{1}{20}\right)\)	\(-1\)	\(e\left(\frac{19}{20}\right)\)	\(1\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(i\)	\(e\left(\frac{1}{20}\right)\)
\(\chi_{11550}(127,\cdot)\)	11550.fz	20	no	\(1\)	\(1\)	\(e\left(\frac{17}{20}\right)\)	\(-i\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(i\)	\(e\left(\frac{9}{10}\right)\)	\(i\)	\(e\left(\frac{1}{20}\right)\)
\(\chi_{11550}(131,\cdot)\)	11550.ij	30	no	\(-1\)	\(1\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(-1\)	\(e\left(\frac{7}{15}\right)\)
\(\chi_{11550}(137,\cdot)\)	11550.lg	60	no	\(1\)	\(1\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{37}{60}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(-1\)	\(-i\)	\(e\left(\frac{41}{60}\right)\)
\(\chi_{11550}(139,\cdot)\)	11550.et	10	no	\(1\)	\(1\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(1\)	\(e\left(\frac{3}{10}\right)\)	\(-1\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(1\)	\(e\left(\frac{1}{5}\right)\)
\(\chi_{11550}(149,\cdot)\)	11550.id	30	no	\(1\)	\(1\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(1\)	\(e\left(\frac{13}{15}\right)\)
\(\chi_{11550}(151,\cdot)\)	11550.jo	30	no	\(-1\)	\(1\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(-1\)	\(e\left(\frac{11}{15}\right)\)

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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.