LMFDB - Group of Dirichlet characters of modulus 14490

Show commands: PariGP / SageMath

sage: H = DirichletGroup(14490)

pari: g = idealstar(,14490,2)

Character group

sage: G.order() pari: g.no
Order	=	3168
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{6}\times C_{132}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{14490}(12881,\cdot)$, $\chi_{14490}(5797,\cdot)$, $\chi_{14490}(12421,\cdot)$, $\chi_{14490}(1891,\cdot)$

First 32 of 3168 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	$-1$	$1$	$11$	$13$	$17$	$19$	$29$	$31$	$37$	$41$	$43$	$47$
$\chi_{14490}(1,\cdot)$	14490.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{14490}(11,\cdot)$	14490.hl	66	no	$1$	$1$	$e\left(\frac{17}{33}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{31}{66}\right)$	$e\left(\frac{35}{66}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{61}{66}\right)$	$e\left(\frac{49}{66}\right)$	$e\left(\frac{47}{66}\right)$	$-1$
$\chi_{14490}(13,\cdot)$	14490.iq	132	no	$1$	$1$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{43}{132}\right)$	$e\left(\frac{31}{44}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{19}{66}\right)$	$e\left(\frac{65}{66}\right)$	$e\left(\frac{5}{44}\right)$	$e\left(\frac{53}{66}\right)$	$e\left(\frac{101}{132}\right)$	$e\left(\frac{7}{12}\right)$
$\chi_{14490}(17,\cdot)$	14490.is	132	no	$1$	$1$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{31}{44}\right)$	$e\left(\frac{19}{132}\right)$	$e\left(\frac{7}{66}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{5}{66}\right)$	$e\left(\frac{35}{132}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{15}{44}\right)$	$e\left(\frac{7}{12}\right)$
$\chi_{14490}(19,\cdot)$	14490.gb	66	no	$1$	$1$	$e\left(\frac{31}{66}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{7}{66}\right)$	$e\left(\frac{13}{33}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{61}{66}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{15}{22}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{2}{3}\right)$
$\chi_{14490}(29,\cdot)$	14490.gd	66	no	$-1$	$1$	$e\left(\frac{35}{66}\right)$	$e\left(\frac{19}{66}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{59}{66}\right)$	$e\left(\frac{8}{33}\right)$	$e\left(\frac{15}{22}\right)$	$e\left(\frac{43}{66}\right)$	$e\left(\frac{17}{66}\right)$	$e\left(\frac{2}{3}\right)$
$\chi_{14490}(31,\cdot)$	14490.ft	66	no	$-1$	$1$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{65}{66}\right)$	$e\left(\frac{5}{66}\right)$	$e\left(\frac{61}{66}\right)$	$e\left(\frac{8}{33}\right)$	$e\left(\frac{31}{66}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{29}{66}\right)$	$e\left(\frac{23}{33}\right)$	$e\left(\frac{1}{6}\right)$
$\chi_{14490}(37,\cdot)$	14490.in	132	no	$1$	$1$	$e\left(\frac{61}{66}\right)$	$e\left(\frac{5}{44}\right)$	$e\left(\frac{35}{132}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{15}{22}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{127}{132}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{23}{44}\right)$	$e\left(\frac{11}{12}\right)$
$\chi_{14490}(41,\cdot)$	14490.gf	66	no	$1$	$1$	$e\left(\frac{49}{66}\right)$	$e\left(\frac{53}{66}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{15}{22}\right)$	$e\left(\frac{43}{66}\right)$	$e\left(\frac{29}{66}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{7}{33}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{1}{3}\right)$
$\chi_{14490}(43,\cdot)$	14490.ie	132	no	$1$	$1$	$e\left(\frac{47}{66}\right)$	$e\left(\frac{101}{132}\right)$	$e\left(\frac{15}{44}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{17}{66}\right)$	$e\left(\frac{23}{33}\right)$	$e\left(\frac{23}{44}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{7}{132}\right)$	$e\left(\frac{5}{12}\right)$
$\chi_{14490}(47,\cdot)$	14490.dl	12	no	$-1$	$1$	$-1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{7}{12}\right)$
$\chi_{14490}(53,\cdot)$	14490.iw	132	no	$-1$	$1$	$e\left(\frac{31}{33}\right)$	$e\left(\frac{15}{44}\right)$	$e\left(\frac{127}{132}\right)$	$e\left(\frac{26}{33}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{28}{33}\right)$	$e\left(\frac{29}{132}\right)$	$e\left(\frac{19}{22}\right)$	$e\left(\frac{25}{44}\right)$	$e\left(\frac{7}{12}\right)$
$\chi_{14490}(59,\cdot)$	14490.hw	66	no	$1$	$1$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{19}{33}\right)$	$e\left(\frac{41}{66}\right)$	$e\left(\frac{25}{66}\right)$	$e\left(\frac{19}{66}\right)$	$e\left(\frac{43}{66}\right)$	$e\left(\frac{13}{66}\right)$	$e\left(\frac{10}{33}\right)$	$e\left(\frac{1}{66}\right)$	$e\left(\frac{1}{6}\right)$
$\chi_{14490}(61,\cdot)$	14490.hv	66	no	$1$	$1$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{43}{66}\right)$	$e\left(\frac{8}{33}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{19}{33}\right)$	$e\left(\frac{53}{66}\right)$	$e\left(\frac{59}{66}\right)$	$e\left(\frac{7}{66}\right)$	$e\left(\frac{35}{66}\right)$	$e\left(\frac{5}{6}\right)$
$\chi_{14490}(67,\cdot)$	14490.je	132	no	$1$	$1$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{91}{132}\right)$	$e\left(\frac{7}{132}\right)$	$e\left(\frac{23}{33}\right)$	$e\left(\frac{31}{66}\right)$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{131}{132}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{5}{132}\right)$	$e\left(\frac{11}{12}\right)$
$\chi_{14490}(71,\cdot)$	14490.ez	22	no	$-1$	$1$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{5}{11}\right)$	$-1$
$\chi_{14490}(73,\cdot)$	14490.iz	132	no	$1$	$1$	$e\left(\frac{10}{33}\right)$	$e\left(\frac{13}{44}\right)$	$e\left(\frac{25}{132}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{17}{66}\right)$	$e\left(\frac{119}{132}\right)$	$e\left(\frac{15}{22}\right)$	$e\left(\frac{7}{44}\right)$	$e\left(\frac{7}{12}\right)$
$\chi_{14490}(79,\cdot)$	14490.ht	66	no	$-1$	$1$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{49}{66}\right)$	$e\left(\frac{26}{33}\right)$	$e\left(\frac{47}{66}\right)$	$e\left(\frac{4}{33}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{32}{33}\right)$	$e\left(\frac{28}{33}\right)$	$e\left(\frac{5}{6}\right)$
$\chi_{14490}(83,\cdot)$	14490.jb	132	no	$1$	$1$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{59}{132}\right)$	$e\left(\frac{19}{44}\right)$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{28}{33}\right)$	$e\left(\frac{37}{66}\right)$	$e\left(\frac{35}{44}\right)$	$e\left(\frac{26}{33}\right)$	$e\left(\frac{91}{132}\right)$	$e\left(\frac{5}{12}\right)$
$\chi_{14490}(89,\cdot)$	14490.gz	66	no	$-1$	$1$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{14}{33}\right)$	$e\left(\frac{19}{33}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{13}{66}\right)$	$e\left(\frac{31}{33}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{1}{6}\right)$
$\chi_{14490}(97,\cdot)$	14490.io	132	no	$-1$	$1$	$e\left(\frac{5}{66}\right)$	$e\left(\frac{29}{132}\right)$	$e\left(\frac{3}{44}\right)$	$e\left(\frac{15}{22}\right)$	$e\left(\frac{65}{66}\right)$	$e\left(\frac{7}{66}\right)$	$e\left(\frac{9}{44}\right)$	$e\left(\frac{25}{66}\right)$	$e\left(\frac{85}{132}\right)$	$e\left(\frac{5}{12}\right)$
$\chi_{14490}(101,\cdot)$	14490.gh	66	no	$1$	$1$	$e\left(\frac{61}{66}\right)$	$e\left(\frac{13}{66}\right)$	$e\left(\frac{28}{33}\right)$	$e\left(\frac{43}{66}\right)$	$e\left(\frac{23}{66}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{26}{33}\right)$	$e\left(\frac{31}{33}\right)$	$1$
$\chi_{14490}(103,\cdot)$	14490.ih	132	no	$-1$	$1$	$e\left(\frac{23}{66}\right)$	$e\left(\frac{19}{132}\right)$	$e\left(\frac{59}{132}\right)$	$e\left(\frac{53}{66}\right)$	$e\left(\frac{13}{66}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{1}{132}\right)$	$e\left(\frac{5}{66}\right)$	$e\left(\frac{83}{132}\right)$	$i$
$\chi_{14490}(107,\cdot)$	14490.iw	132	no	$-1$	$1$	$e\left(\frac{26}{33}\right)$	$e\left(\frac{25}{44}\right)$	$e\left(\frac{65}{132}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{32}{33}\right)$	$e\left(\frac{19}{132}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{27}{44}\right)$	$e\left(\frac{5}{12}\right)$
$\chi_{14490}(109,\cdot)$	14490.gt	66	no	$-1$	$1$	$e\left(\frac{35}{66}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{13}{33}\right)$	$e\left(\frac{7}{66}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{19}{33}\right)$	$e\left(\frac{17}{33}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{5}{6}\right)$
$\chi_{14490}(113,\cdot)$	14490.ir	132	no	$-1$	$1$	$e\left(\frac{5}{33}\right)$	$e\left(\frac{25}{132}\right)$	$e\left(\frac{17}{44}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{32}{33}\right)$	$e\left(\frac{7}{33}\right)$	$e\left(\frac{7}{44}\right)$	$e\left(\frac{17}{66}\right)$	$e\left(\frac{71}{132}\right)$	$e\left(\frac{7}{12}\right)$
$\chi_{14490}(121,\cdot)$	14490.fj	33	no	$1$	$1$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{4}{33}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{31}{33}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{28}{33}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{14}{33}\right)$	$1$
$\chi_{14490}(127,\cdot)$	14490.fn	44	no	$-1$	$1$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{21}{44}\right)$	$e\left(\frac{27}{44}\right)$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{19}{22}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{15}{44}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{13}{44}\right)$	$i$
$\chi_{14490}(131,\cdot)$	14490.gh	66	no	$1$	$1$	$e\left(\frac{29}{66}\right)$	$e\left(\frac{17}{66}\right)$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{41}{66}\right)$	$e\left(\frac{25}{66}\right)$	$e\left(\frac{15}{22}\right)$	$e\left(\frac{10}{33}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{5}{33}\right)$	$1$
$\chi_{14490}(137,\cdot)$	14490.ds	12	no	$-1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{12}\right)$	$-i$
$\chi_{14490}(139,\cdot)$	14490.br	6	no	$-1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$1$	$-1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{6}\right)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$
$\chi_{14490}(143,\cdot)$	14490.is	132	no	$1$	$1$	$e\left(\frac{19}{33}\right)$	$e\left(\frac{17}{44}\right)$	$e\left(\frac{97}{132}\right)$	$e\left(\frac{1}{66}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{29}{66}\right)$	$e\left(\frac{5}{132}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{21}{44}\right)$	$e\left(\frac{1}{12}\right)$

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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	$14490$
Structure	\(C_{2}\times C_{2}\times C_{6}\times C_{132}\)
Order	$3168$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(11\)	\(13\)	\(17\)	\(19\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)	\(47\)
\(\chi_{14490}(1,\cdot)\)	14490.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{14490}(11,\cdot)\)	14490.hl	66	no	\(1\)	\(1\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{31}{66}\right)\)	\(e\left(\frac{35}{66}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{61}{66}\right)\)	\(e\left(\frac{49}{66}\right)\)	\(e\left(\frac{47}{66}\right)\)	\(-1\)
\(\chi_{14490}(13,\cdot)\)	14490.iq	132	no	\(1\)	\(1\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{43}{132}\right)\)	\(e\left(\frac{31}{44}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{19}{66}\right)\)	\(e\left(\frac{65}{66}\right)\)	\(e\left(\frac{5}{44}\right)\)	\(e\left(\frac{53}{66}\right)\)	\(e\left(\frac{101}{132}\right)\)	\(e\left(\frac{7}{12}\right)\)
\(\chi_{14490}(17,\cdot)\)	14490.is	132	no	\(1\)	\(1\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{31}{44}\right)\)	\(e\left(\frac{19}{132}\right)\)	\(e\left(\frac{7}{66}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{5}{66}\right)\)	\(e\left(\frac{35}{132}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{15}{44}\right)\)	\(e\left(\frac{7}{12}\right)\)
\(\chi_{14490}(19,\cdot)\)	14490.gb	66	no	\(1\)	\(1\)	\(e\left(\frac{31}{66}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{7}{66}\right)\)	\(e\left(\frac{13}{33}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{61}{66}\right)\)	\(e\left(\frac{16}{33}\right)\)	\(e\left(\frac{15}{22}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{2}{3}\right)\)
\(\chi_{14490}(29,\cdot)\)	14490.gd	66	no	\(-1\)	\(1\)	\(e\left(\frac{35}{66}\right)\)	\(e\left(\frac{19}{66}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{59}{66}\right)\)	\(e\left(\frac{8}{33}\right)\)	\(e\left(\frac{15}{22}\right)\)	\(e\left(\frac{43}{66}\right)\)	\(e\left(\frac{17}{66}\right)\)	\(e\left(\frac{2}{3}\right)\)
\(\chi_{14490}(31,\cdot)\)	14490.ft	66	no	\(-1\)	\(1\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{65}{66}\right)\)	\(e\left(\frac{5}{66}\right)\)	\(e\left(\frac{61}{66}\right)\)	\(e\left(\frac{8}{33}\right)\)	\(e\left(\frac{31}{66}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{29}{66}\right)\)	\(e\left(\frac{23}{33}\right)\)	\(e\left(\frac{1}{6}\right)\)
\(\chi_{14490}(37,\cdot)\)	14490.in	132	no	\(1\)	\(1\)	\(e\left(\frac{61}{66}\right)\)	\(e\left(\frac{5}{44}\right)\)	\(e\left(\frac{35}{132}\right)\)	\(e\left(\frac{16}{33}\right)\)	\(e\left(\frac{15}{22}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{127}{132}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{23}{44}\right)\)	\(e\left(\frac{11}{12}\right)\)
\(\chi_{14490}(41,\cdot)\)	14490.gf	66	no	\(1\)	\(1\)	\(e\left(\frac{49}{66}\right)\)	\(e\left(\frac{53}{66}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{15}{22}\right)\)	\(e\left(\frac{43}{66}\right)\)	\(e\left(\frac{29}{66}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{7}{33}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{1}{3}\right)\)
\(\chi_{14490}(43,\cdot)\)	14490.ie	132	no	\(1\)	\(1\)	\(e\left(\frac{47}{66}\right)\)	\(e\left(\frac{101}{132}\right)\)	\(e\left(\frac{15}{44}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{17}{66}\right)\)	\(e\left(\frac{23}{33}\right)\)	\(e\left(\frac{23}{44}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{7}{132}\right)\)	\(e\left(\frac{5}{12}\right)\)
\(\chi_{14490}(47,\cdot)\)	14490.dl	12	no	\(-1\)	\(1\)	\(-1\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{7}{12}\right)\)
\(\chi_{14490}(53,\cdot)\)	14490.iw	132	no	\(-1\)	\(1\)	\(e\left(\frac{31}{33}\right)\)	\(e\left(\frac{15}{44}\right)\)	\(e\left(\frac{127}{132}\right)\)	\(e\left(\frac{26}{33}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{29}{132}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{25}{44}\right)\)	\(e\left(\frac{7}{12}\right)\)
\(\chi_{14490}(59,\cdot)\)	14490.hw	66	no	\(1\)	\(1\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{19}{33}\right)\)	\(e\left(\frac{41}{66}\right)\)	\(e\left(\frac{25}{66}\right)\)	\(e\left(\frac{19}{66}\right)\)	\(e\left(\frac{43}{66}\right)\)	\(e\left(\frac{13}{66}\right)\)	\(e\left(\frac{10}{33}\right)\)	\(e\left(\frac{1}{66}\right)\)	\(e\left(\frac{1}{6}\right)\)
\(\chi_{14490}(61,\cdot)\)	14490.hv	66	no	\(1\)	\(1\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{43}{66}\right)\)	\(e\left(\frac{8}{33}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{19}{33}\right)\)	\(e\left(\frac{53}{66}\right)\)	\(e\left(\frac{59}{66}\right)\)	\(e\left(\frac{7}{66}\right)\)	\(e\left(\frac{35}{66}\right)\)	\(e\left(\frac{5}{6}\right)\)
\(\chi_{14490}(67,\cdot)\)	14490.je	132	no	\(1\)	\(1\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{91}{132}\right)\)	\(e\left(\frac{7}{132}\right)\)	\(e\left(\frac{23}{33}\right)\)	\(e\left(\frac{31}{66}\right)\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{131}{132}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{5}{132}\right)\)	\(e\left(\frac{11}{12}\right)\)
\(\chi_{14490}(71,\cdot)\)	14490.ez	22	no	\(-1\)	\(1\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{3}{22}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{3}{22}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(-1\)
\(\chi_{14490}(73,\cdot)\)	14490.iz	132	no	\(1\)	\(1\)	\(e\left(\frac{10}{33}\right)\)	\(e\left(\frac{13}{44}\right)\)	\(e\left(\frac{25}{132}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{17}{66}\right)\)	\(e\left(\frac{119}{132}\right)\)	\(e\left(\frac{15}{22}\right)\)	\(e\left(\frac{7}{44}\right)\)	\(e\left(\frac{7}{12}\right)\)
\(\chi_{14490}(79,\cdot)\)	14490.ht	66	no	\(-1\)	\(1\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{49}{66}\right)\)	\(e\left(\frac{26}{33}\right)\)	\(e\left(\frac{47}{66}\right)\)	\(e\left(\frac{4}{33}\right)\)	\(e\left(\frac{16}{33}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{32}{33}\right)\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{5}{6}\right)\)
\(\chi_{14490}(83,\cdot)\)	14490.jb	132	no	\(1\)	\(1\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{59}{132}\right)\)	\(e\left(\frac{19}{44}\right)\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{37}{66}\right)\)	\(e\left(\frac{35}{44}\right)\)	\(e\left(\frac{26}{33}\right)\)	\(e\left(\frac{91}{132}\right)\)	\(e\left(\frac{5}{12}\right)\)
\(\chi_{14490}(89,\cdot)\)	14490.gz	66	no	\(-1\)	\(1\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{14}{33}\right)\)	\(e\left(\frac{19}{33}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{13}{66}\right)\)	\(e\left(\frac{31}{33}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{7}{11}\right)\)	\(e\left(\frac{1}{6}\right)\)
\(\chi_{14490}(97,\cdot)\)	14490.io	132	no	\(-1\)	\(1\)	\(e\left(\frac{5}{66}\right)\)	\(e\left(\frac{29}{132}\right)\)	\(e\left(\frac{3}{44}\right)\)	\(e\left(\frac{15}{22}\right)\)	\(e\left(\frac{65}{66}\right)\)	\(e\left(\frac{7}{66}\right)\)	\(e\left(\frac{9}{44}\right)\)	\(e\left(\frac{25}{66}\right)\)	\(e\left(\frac{85}{132}\right)\)	\(e\left(\frac{5}{12}\right)\)
\(\chi_{14490}(101,\cdot)\)	14490.gh	66	no	\(1\)	\(1\)	\(e\left(\frac{61}{66}\right)\)	\(e\left(\frac{13}{66}\right)\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{43}{66}\right)\)	\(e\left(\frac{23}{66}\right)\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{26}{33}\right)\)	\(e\left(\frac{31}{33}\right)\)	\(1\)
\(\chi_{14490}(103,\cdot)\)	14490.ih	132	no	\(-1\)	\(1\)	\(e\left(\frac{23}{66}\right)\)	\(e\left(\frac{19}{132}\right)\)	\(e\left(\frac{59}{132}\right)\)	\(e\left(\frac{53}{66}\right)\)	\(e\left(\frac{13}{66}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{1}{132}\right)\)	\(e\left(\frac{5}{66}\right)\)	\(e\left(\frac{83}{132}\right)\)	\(i\)
\(\chi_{14490}(107,\cdot)\)	14490.iw	132	no	\(-1\)	\(1\)	\(e\left(\frac{26}{33}\right)\)	\(e\left(\frac{25}{44}\right)\)	\(e\left(\frac{65}{132}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{32}{33}\right)\)	\(e\left(\frac{19}{132}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{27}{44}\right)\)	\(e\left(\frac{5}{12}\right)\)
\(\chi_{14490}(109,\cdot)\)	14490.gt	66	no	\(-1\)	\(1\)	\(e\left(\frac{35}{66}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{13}{33}\right)\)	\(e\left(\frac{7}{66}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{19}{33}\right)\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{1}{11}\right)\)	\(e\left(\frac{5}{6}\right)\)
\(\chi_{14490}(113,\cdot)\)	14490.ir	132	no	\(-1\)	\(1\)	\(e\left(\frac{5}{33}\right)\)	\(e\left(\frac{25}{132}\right)\)	\(e\left(\frac{17}{44}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{32}{33}\right)\)	\(e\left(\frac{7}{33}\right)\)	\(e\left(\frac{7}{44}\right)\)	\(e\left(\frac{17}{66}\right)\)	\(e\left(\frac{71}{132}\right)\)	\(e\left(\frac{7}{12}\right)\)
\(\chi_{14490}(121,\cdot)\)	14490.fj	33	no	\(1\)	\(1\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{4}{33}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{31}{33}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{16}{33}\right)\)	\(e\left(\frac{14}{33}\right)\)	\(1\)
\(\chi_{14490}(127,\cdot)\)	14490.fn	44	no	\(-1\)	\(1\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{21}{44}\right)\)	\(e\left(\frac{27}{44}\right)\)	\(e\left(\frac{3}{22}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{15}{44}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{13}{44}\right)\)	\(i\)
\(\chi_{14490}(131,\cdot)\)	14490.gh	66	no	\(1\)	\(1\)	\(e\left(\frac{29}{66}\right)\)	\(e\left(\frac{17}{66}\right)\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{41}{66}\right)\)	\(e\left(\frac{25}{66}\right)\)	\(e\left(\frac{15}{22}\right)\)	\(e\left(\frac{10}{33}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{5}{33}\right)\)	\(1\)
\(\chi_{14490}(137,\cdot)\)	14490.ds	12	no	\(-1\)	\(1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(1\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(-i\)
\(\chi_{14490}(139,\cdot)\)	14490.br	6	no	\(-1\)	\(1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(1\)	\(-1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(-1\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{3}\right)\)
\(\chi_{14490}(143,\cdot)\)	14490.is	132	no	\(1\)	\(1\)	\(e\left(\frac{19}{33}\right)\)	\(e\left(\frac{17}{44}\right)\)	\(e\left(\frac{97}{132}\right)\)	\(e\left(\frac{1}{66}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{29}{66}\right)\)	\(e\left(\frac{5}{132}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{21}{44}\right)\)	\(e\left(\frac{1}{12}\right)\)

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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.