LMFDB - Group of Dirichlet characters of modulus 2432

Show commands: PariGP / SageMath

sage: H = DirichletGroup(2432)

pari: g = idealstar(,2432,2)

Character group

sage: G.order() pari: g.no
Order	=	1152
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{288}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{2432}(1407,\cdot)$, $\chi_{2432}(2053,\cdot)$, $\chi_{2432}(1921,\cdot)$

First 32 of 1152 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	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{2432}(1,\cdot)$	2432.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{2432}(3,\cdot)$	2432.cr	288	yes	$1$	$1$	$e\left(\frac{49}{288}\right)$	$e\left(\frac{187}{288}\right)$	$e\left(\frac{37}{48}\right)$	$e\left(\frac{49}{144}\right)$	$e\left(\frac{13}{96}\right)$	$e\left(\frac{5}{288}\right)$	$e\left(\frac{59}{72}\right)$	$e\left(\frac{61}{72}\right)$	$e\left(\frac{271}{288}\right)$	$e\left(\frac{37}{144}\right)$
$\chi_{2432}(5,\cdot)$	2432.cs	288	yes	$1$	$1$	$e\left(\frac{187}{288}\right)$	$e\left(\frac{73}{288}\right)$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{43}{144}\right)$	$e\left(\frac{31}{96}\right)$	$e\left(\frac{263}{288}\right)$	$e\left(\frac{65}{72}\right)$	$e\left(\frac{55}{72}\right)$	$e\left(\frac{85}{288}\right)$	$e\left(\frac{31}{144}\right)$
$\chi_{2432}(7,\cdot)$	2432.cd	48	no	$-1$	$1$	$e\left(\frac{37}{48}\right)$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{17}{48}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{19}{48}\right)$	$e\left(\frac{13}{24}\right)$
$\chi_{2432}(9,\cdot)$	2432.co	144	no	$1$	$1$	$e\left(\frac{49}{144}\right)$	$e\left(\frac{43}{144}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{49}{72}\right)$	$e\left(\frac{13}{48}\right)$	$e\left(\frac{5}{144}\right)$	$e\left(\frac{23}{36}\right)$	$e\left(\frac{25}{36}\right)$	$e\left(\frac{127}{144}\right)$	$e\left(\frac{37}{72}\right)$
$\chi_{2432}(11,\cdot)$	2432.ci	96	yes	$-1$	$1$	$e\left(\frac{13}{96}\right)$	$e\left(\frac{31}{96}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{13}{48}\right)$	$e\left(\frac{9}{32}\right)$	$e\left(\frac{17}{96}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{19}{96}\right)$	$e\left(\frac{1}{48}\right)$
$\chi_{2432}(13,\cdot)$	2432.cq	288	yes	$-1$	$1$	$e\left(\frac{5}{288}\right)$	$e\left(\frac{263}{288}\right)$	$e\left(\frac{17}{48}\right)$	$e\left(\frac{5}{144}\right)$	$e\left(\frac{17}{96}\right)$	$e\left(\frac{121}{288}\right)$	$e\left(\frac{67}{72}\right)$	$e\left(\frac{65}{72}\right)$	$e\left(\frac{107}{288}\right)$	$e\left(\frac{17}{144}\right)$
$\chi_{2432}(15,\cdot)$	2432.cf	72	no	$1$	$1$	$e\left(\frac{59}{72}\right)$	$e\left(\frac{65}{72}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{23}{36}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{67}{72}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{17}{72}\right)$	$e\left(\frac{17}{36}\right)$
$\chi_{2432}(17,\cdot)$	2432.ce	72	no	$1$	$1$	$e\left(\frac{61}{72}\right)$	$e\left(\frac{55}{72}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{25}{36}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{65}{72}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{67}{72}\right)$	$e\left(\frac{13}{36}\right)$
$\chi_{2432}(21,\cdot)$	2432.cq	288	yes	$-1$	$1$	$e\left(\frac{271}{288}\right)$	$e\left(\frac{85}{288}\right)$	$e\left(\frac{19}{48}\right)$	$e\left(\frac{127}{144}\right)$	$e\left(\frac{19}{96}\right)$	$e\left(\frac{107}{288}\right)$	$e\left(\frac{17}{72}\right)$	$e\left(\frac{67}{72}\right)$	$e\left(\frac{97}{288}\right)$	$e\left(\frac{115}{144}\right)$
$\chi_{2432}(23,\cdot)$	2432.cm	144	no	$-1$	$1$	$e\left(\frac{37}{144}\right)$	$e\left(\frac{31}{144}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{37}{72}\right)$	$e\left(\frac{1}{48}\right)$	$e\left(\frac{17}{144}\right)$	$e\left(\frac{17}{36}\right)$	$e\left(\frac{13}{36}\right)$	$e\left(\frac{115}{144}\right)$	$e\left(\frac{61}{72}\right)$
$\chi_{2432}(25,\cdot)$	2432.co	144	no	$1$	$1$	$e\left(\frac{43}{144}\right)$	$e\left(\frac{73}{144}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{43}{72}\right)$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{119}{144}\right)$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{19}{36}\right)$	$e\left(\frac{85}{144}\right)$	$e\left(\frac{31}{72}\right)$
$\chi_{2432}(27,\cdot)$	2432.cj	96	yes	$1$	$1$	$e\left(\frac{49}{96}\right)$	$e\left(\frac{91}{96}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{1}{48}\right)$	$e\left(\frac{13}{32}\right)$	$e\left(\frac{5}{96}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{79}{96}\right)$	$e\left(\frac{37}{48}\right)$
$\chi_{2432}(29,\cdot)$	2432.cq	288	yes	$-1$	$1$	$e\left(\frac{233}{288}\right)$	$e\left(\frac{275}{288}\right)$	$e\left(\frac{5}{48}\right)$	$e\left(\frac{89}{144}\right)$	$e\left(\frac{5}{96}\right)$	$e\left(\frac{109}{288}\right)$	$e\left(\frac{55}{72}\right)$	$e\left(\frac{5}{72}\right)$	$e\left(\frac{263}{288}\right)$	$e\left(\frac{101}{144}\right)$
$\chi_{2432}(31,\cdot)$	2432.bb	12	no	$1$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{7}{12}\right)$	$1$	$e\left(\frac{1}{6}\right)$	$-i$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{2}{3}\right)$
$\chi_{2432}(33,\cdot)$	2432.bz	36	no	$-1$	$1$	$e\left(\frac{11}{36}\right)$	$e\left(\frac{35}{36}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{7}{36}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{5}{36}\right)$	$e\left(\frac{5}{18}\right)$
$\chi_{2432}(35,\cdot)$	2432.ct	288	yes	$-1$	$1$	$e\left(\frac{121}{288}\right)$	$e\left(\frac{259}{288}\right)$	$e\left(\frac{13}{48}\right)$	$e\left(\frac{121}{144}\right)$	$e\left(\frac{37}{96}\right)$	$e\left(\frac{77}{288}\right)$	$e\left(\frac{23}{72}\right)$	$e\left(\frac{61}{72}\right)$	$e\left(\frac{199}{288}\right)$	$e\left(\frac{109}{144}\right)$
$\chi_{2432}(37,\cdot)$	2432.bt	32	yes	$-1$	$1$	$e\left(\frac{27}{32}\right)$	$e\left(\frac{25}{32}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{13}{32}\right)$	$e\left(\frac{7}{32}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{21}{32}\right)$	$e\left(\frac{15}{16}\right)$
$\chi_{2432}(39,\cdot)$	2432.bf	16	no	$-1$	$1$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{7}{16}\right)$	$-i$	$-i$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{3}{8}\right)$
$\chi_{2432}(41,\cdot)$	2432.cn	144	no	$-1$	$1$	$e\left(\frac{29}{144}\right)$	$e\left(\frac{71}{144}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{29}{72}\right)$	$e\left(\frac{17}{48}\right)$	$e\left(\frac{97}{144}\right)$	$e\left(\frac{25}{36}\right)$	$e\left(\frac{17}{36}\right)$	$e\left(\frac{131}{144}\right)$	$e\left(\frac{41}{72}\right)$
$\chi_{2432}(43,\cdot)$	2432.ct	288	yes	$-1$	$1$	$e\left(\frac{223}{288}\right)$	$e\left(\frac{37}{288}\right)$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{79}{144}\right)$	$e\left(\frac{19}{96}\right)$	$e\left(\frac{11}{288}\right)$	$e\left(\frac{65}{72}\right)$	$e\left(\frac{19}{72}\right)$	$e\left(\frac{193}{288}\right)$	$e\left(\frac{139}{144}\right)$
$\chi_{2432}(45,\cdot)$	2432.ck	96	yes	$1$	$1$	$e\left(\frac{95}{96}\right)$	$e\left(\frac{53}{96}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{47}{48}\right)$	$e\left(\frac{19}{32}\right)$	$e\left(\frac{91}{96}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{17}{96}\right)$	$e\left(\frac{35}{48}\right)$
$\chi_{2432}(47,\cdot)$	2432.cg	72	no	$-1$	$1$	$e\left(\frac{29}{72}\right)$	$e\left(\frac{35}{72}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{61}{72}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{23}{72}\right)$	$e\left(\frac{23}{36}\right)$
$\chi_{2432}(49,\cdot)$	2432.bq	24	no	$1$	$1$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{7}{24}\right)$	$i$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{1}{12}\right)$
$\chi_{2432}(51,\cdot)$	2432.cr	288	yes	$1$	$1$	$e\left(\frac{5}{288}\right)$	$e\left(\frac{119}{288}\right)$	$e\left(\frac{41}{48}\right)$	$e\left(\frac{5}{144}\right)$	$e\left(\frac{17}{96}\right)$	$e\left(\frac{265}{288}\right)$	$e\left(\frac{31}{72}\right)$	$e\left(\frac{65}{72}\right)$	$e\left(\frac{251}{288}\right)$	$e\left(\frac{89}{144}\right)$
$\chi_{2432}(53,\cdot)$	2432.cq	288	yes	$-1$	$1$	$e\left(\frac{119}{288}\right)$	$e\left(\frac{269}{288}\right)$	$e\left(\frac{11}{48}\right)$	$e\left(\frac{119}{144}\right)$	$e\left(\frac{59}{96}\right)$	$e\left(\frac{115}{288}\right)$	$e\left(\frac{25}{72}\right)$	$e\left(\frac{35}{72}\right)$	$e\left(\frac{185}{288}\right)$	$e\left(\frac{59}{144}\right)$
$\chi_{2432}(55,\cdot)$	2432.cm	144	no	$-1$	$1$	$e\left(\frac{113}{144}\right)$	$e\left(\frac{83}{144}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{41}{72}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{13}{144}\right)$	$e\left(\frac{13}{36}\right)$	$e\left(\frac{29}{36}\right)$	$e\left(\frac{71}{144}\right)$	$e\left(\frac{17}{72}\right)$
$\chi_{2432}(59,\cdot)$	2432.cr	288	yes	$1$	$1$	$e\left(\frac{235}{288}\right)$	$e\left(\frac{121}{288}\right)$	$e\left(\frac{7}{48}\right)$	$e\left(\frac{91}{144}\right)$	$e\left(\frac{31}{96}\right)$	$e\left(\frac{71}{288}\right)$	$e\left(\frac{17}{72}\right)$	$e\left(\frac{31}{72}\right)$	$e\left(\frac{277}{288}\right)$	$e\left(\frac{7}{144}\right)$
$\chi_{2432}(61,\cdot)$	2432.cs	288	yes	$1$	$1$	$e\left(\frac{65}{288}\right)$	$e\left(\frac{107}{288}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{65}{144}\right)$	$e\left(\frac{77}{96}\right)$	$e\left(\frac{133}{288}\right)$	$e\left(\frac{43}{72}\right)$	$e\left(\frac{53}{72}\right)$	$e\left(\frac{239}{288}\right)$	$e\left(\frac{77}{144}\right)$
$\chi_{2432}(63,\cdot)$	2432.bk	18	no	$-1$	$1$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{1}{18}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{1}{18}\right)$
$\chi_{2432}(65,\cdot)$	2432.p	6	no	$-1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$1$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$
$\chi_{2432}(67,\cdot)$	2432.cr	288	yes	$1$	$1$	$e\left(\frac{161}{288}\right)$	$e\left(\frac{203}{288}\right)$	$e\left(\frac{5}{48}\right)$	$e\left(\frac{17}{144}\right)$	$e\left(\frac{29}{96}\right)$	$e\left(\frac{181}{288}\right)$	$e\left(\frac{19}{72}\right)$	$e\left(\frac{5}{72}\right)$	$e\left(\frac{191}{288}\right)$	$e\left(\frac{101}{144}\right)$

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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	$2432$
Structure	\(C_{2}\times C_{2}\times C_{288}\)
Order	$1152$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(21\)	\(23\)
\(\chi_{2432}(1,\cdot)\)	2432.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{2432}(3,\cdot)\)	2432.cr	288	yes	\(1\)	\(1\)	\(e\left(\frac{49}{288}\right)\)	\(e\left(\frac{187}{288}\right)\)	\(e\left(\frac{37}{48}\right)\)	\(e\left(\frac{49}{144}\right)\)	\(e\left(\frac{13}{96}\right)\)	\(e\left(\frac{5}{288}\right)\)	\(e\left(\frac{59}{72}\right)\)	\(e\left(\frac{61}{72}\right)\)	\(e\left(\frac{271}{288}\right)\)	\(e\left(\frac{37}{144}\right)\)
\(\chi_{2432}(5,\cdot)\)	2432.cs	288	yes	\(1\)	\(1\)	\(e\left(\frac{187}{288}\right)\)	\(e\left(\frac{73}{288}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{43}{144}\right)\)	\(e\left(\frac{31}{96}\right)\)	\(e\left(\frac{263}{288}\right)\)	\(e\left(\frac{65}{72}\right)\)	\(e\left(\frac{55}{72}\right)\)	\(e\left(\frac{85}{288}\right)\)	\(e\left(\frac{31}{144}\right)\)
\(\chi_{2432}(7,\cdot)\)	2432.cd	48	no	\(-1\)	\(1\)	\(e\left(\frac{37}{48}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{17}{48}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{19}{48}\right)\)	\(e\left(\frac{13}{24}\right)\)
\(\chi_{2432}(9,\cdot)\)	2432.co	144	no	\(1\)	\(1\)	\(e\left(\frac{49}{144}\right)\)	\(e\left(\frac{43}{144}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{49}{72}\right)\)	\(e\left(\frac{13}{48}\right)\)	\(e\left(\frac{5}{144}\right)\)	\(e\left(\frac{23}{36}\right)\)	\(e\left(\frac{25}{36}\right)\)	\(e\left(\frac{127}{144}\right)\)	\(e\left(\frac{37}{72}\right)\)
\(\chi_{2432}(11,\cdot)\)	2432.ci	96	yes	\(-1\)	\(1\)	\(e\left(\frac{13}{96}\right)\)	\(e\left(\frac{31}{96}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{13}{48}\right)\)	\(e\left(\frac{9}{32}\right)\)	\(e\left(\frac{17}{96}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{19}{96}\right)\)	\(e\left(\frac{1}{48}\right)\)
\(\chi_{2432}(13,\cdot)\)	2432.cq	288	yes	\(-1\)	\(1\)	\(e\left(\frac{5}{288}\right)\)	\(e\left(\frac{263}{288}\right)\)	\(e\left(\frac{17}{48}\right)\)	\(e\left(\frac{5}{144}\right)\)	\(e\left(\frac{17}{96}\right)\)	\(e\left(\frac{121}{288}\right)\)	\(e\left(\frac{67}{72}\right)\)	\(e\left(\frac{65}{72}\right)\)	\(e\left(\frac{107}{288}\right)\)	\(e\left(\frac{17}{144}\right)\)
\(\chi_{2432}(15,\cdot)\)	2432.cf	72	no	\(1\)	\(1\)	\(e\left(\frac{59}{72}\right)\)	\(e\left(\frac{65}{72}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{23}{36}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{67}{72}\right)\)	\(e\left(\frac{13}{18}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{17}{72}\right)\)	\(e\left(\frac{17}{36}\right)\)
\(\chi_{2432}(17,\cdot)\)	2432.ce	72	no	\(1\)	\(1\)	\(e\left(\frac{61}{72}\right)\)	\(e\left(\frac{55}{72}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{25}{36}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{65}{72}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(e\left(\frac{67}{72}\right)\)	\(e\left(\frac{13}{36}\right)\)
\(\chi_{2432}(21,\cdot)\)	2432.cq	288	yes	\(-1\)	\(1\)	\(e\left(\frac{271}{288}\right)\)	\(e\left(\frac{85}{288}\right)\)	\(e\left(\frac{19}{48}\right)\)	\(e\left(\frac{127}{144}\right)\)	\(e\left(\frac{19}{96}\right)\)	\(e\left(\frac{107}{288}\right)\)	\(e\left(\frac{17}{72}\right)\)	\(e\left(\frac{67}{72}\right)\)	\(e\left(\frac{97}{288}\right)\)	\(e\left(\frac{115}{144}\right)\)
\(\chi_{2432}(23,\cdot)\)	2432.cm	144	no	\(-1\)	\(1\)	\(e\left(\frac{37}{144}\right)\)	\(e\left(\frac{31}{144}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{37}{72}\right)\)	\(e\left(\frac{1}{48}\right)\)	\(e\left(\frac{17}{144}\right)\)	\(e\left(\frac{17}{36}\right)\)	\(e\left(\frac{13}{36}\right)\)	\(e\left(\frac{115}{144}\right)\)	\(e\left(\frac{61}{72}\right)\)
\(\chi_{2432}(25,\cdot)\)	2432.co	144	no	\(1\)	\(1\)	\(e\left(\frac{43}{144}\right)\)	\(e\left(\frac{73}{144}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{43}{72}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{119}{144}\right)\)	\(e\left(\frac{29}{36}\right)\)	\(e\left(\frac{19}{36}\right)\)	\(e\left(\frac{85}{144}\right)\)	\(e\left(\frac{31}{72}\right)\)
\(\chi_{2432}(27,\cdot)\)	2432.cj	96	yes	\(1\)	\(1\)	\(e\left(\frac{49}{96}\right)\)	\(e\left(\frac{91}{96}\right)\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{1}{48}\right)\)	\(e\left(\frac{13}{32}\right)\)	\(e\left(\frac{5}{96}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{79}{96}\right)\)	\(e\left(\frac{37}{48}\right)\)
\(\chi_{2432}(29,\cdot)\)	2432.cq	288	yes	\(-1\)	\(1\)	\(e\left(\frac{233}{288}\right)\)	\(e\left(\frac{275}{288}\right)\)	\(e\left(\frac{5}{48}\right)\)	\(e\left(\frac{89}{144}\right)\)	\(e\left(\frac{5}{96}\right)\)	\(e\left(\frac{109}{288}\right)\)	\(e\left(\frac{55}{72}\right)\)	\(e\left(\frac{5}{72}\right)\)	\(e\left(\frac{263}{288}\right)\)	\(e\left(\frac{101}{144}\right)\)
\(\chi_{2432}(31,\cdot)\)	2432.bb	12	no	\(1\)	\(1\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(1\)	\(e\left(\frac{1}{6}\right)\)	\(-i\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)
\(\chi_{2432}(33,\cdot)\)	2432.bz	36	no	\(-1\)	\(1\)	\(e\left(\frac{11}{36}\right)\)	\(e\left(\frac{35}{36}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{7}{36}\right)\)	\(e\left(\frac{5}{18}\right)\)	\(e\left(\frac{8}{9}\right)\)	\(e\left(\frac{5}{36}\right)\)	\(e\left(\frac{5}{18}\right)\)
\(\chi_{2432}(35,\cdot)\)	2432.ct	288	yes	\(-1\)	\(1\)	\(e\left(\frac{121}{288}\right)\)	\(e\left(\frac{259}{288}\right)\)	\(e\left(\frac{13}{48}\right)\)	\(e\left(\frac{121}{144}\right)\)	\(e\left(\frac{37}{96}\right)\)	\(e\left(\frac{77}{288}\right)\)	\(e\left(\frac{23}{72}\right)\)	\(e\left(\frac{61}{72}\right)\)	\(e\left(\frac{199}{288}\right)\)	\(e\left(\frac{109}{144}\right)\)
\(\chi_{2432}(37,\cdot)\)	2432.bt	32	yes	\(-1\)	\(1\)	\(e\left(\frac{27}{32}\right)\)	\(e\left(\frac{25}{32}\right)\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{13}{32}\right)\)	\(e\left(\frac{7}{32}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{21}{32}\right)\)	\(e\left(\frac{15}{16}\right)\)
\(\chi_{2432}(39,\cdot)\)	2432.bf	16	no	\(-1\)	\(1\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{9}{16}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{7}{16}\right)\)	\(-i\)	\(-i\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{3}{8}\right)\)
\(\chi_{2432}(41,\cdot)\)	2432.cn	144	no	\(-1\)	\(1\)	\(e\left(\frac{29}{144}\right)\)	\(e\left(\frac{71}{144}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{29}{72}\right)\)	\(e\left(\frac{17}{48}\right)\)	\(e\left(\frac{97}{144}\right)\)	\(e\left(\frac{25}{36}\right)\)	\(e\left(\frac{17}{36}\right)\)	\(e\left(\frac{131}{144}\right)\)	\(e\left(\frac{41}{72}\right)\)
\(\chi_{2432}(43,\cdot)\)	2432.ct	288	yes	\(-1\)	\(1\)	\(e\left(\frac{223}{288}\right)\)	\(e\left(\frac{37}{288}\right)\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{79}{144}\right)\)	\(e\left(\frac{19}{96}\right)\)	\(e\left(\frac{11}{288}\right)\)	\(e\left(\frac{65}{72}\right)\)	\(e\left(\frac{19}{72}\right)\)	\(e\left(\frac{193}{288}\right)\)	\(e\left(\frac{139}{144}\right)\)
\(\chi_{2432}(45,\cdot)\)	2432.ck	96	yes	\(1\)	\(1\)	\(e\left(\frac{95}{96}\right)\)	\(e\left(\frac{53}{96}\right)\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{47}{48}\right)\)	\(e\left(\frac{19}{32}\right)\)	\(e\left(\frac{91}{96}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{17}{96}\right)\)	\(e\left(\frac{35}{48}\right)\)
\(\chi_{2432}(47,\cdot)\)	2432.cg	72	no	\(-1\)	\(1\)	\(e\left(\frac{29}{72}\right)\)	\(e\left(\frac{35}{72}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{29}{36}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{61}{72}\right)\)	\(e\left(\frac{8}{9}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{23}{72}\right)\)	\(e\left(\frac{23}{36}\right)\)
\(\chi_{2432}(49,\cdot)\)	2432.bq	24	no	\(1\)	\(1\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(i\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{1}{12}\right)\)
\(\chi_{2432}(51,\cdot)\)	2432.cr	288	yes	\(1\)	\(1\)	\(e\left(\frac{5}{288}\right)\)	\(e\left(\frac{119}{288}\right)\)	\(e\left(\frac{41}{48}\right)\)	\(e\left(\frac{5}{144}\right)\)	\(e\left(\frac{17}{96}\right)\)	\(e\left(\frac{265}{288}\right)\)	\(e\left(\frac{31}{72}\right)\)	\(e\left(\frac{65}{72}\right)\)	\(e\left(\frac{251}{288}\right)\)	\(e\left(\frac{89}{144}\right)\)
\(\chi_{2432}(53,\cdot)\)	2432.cq	288	yes	\(-1\)	\(1\)	\(e\left(\frac{119}{288}\right)\)	\(e\left(\frac{269}{288}\right)\)	\(e\left(\frac{11}{48}\right)\)	\(e\left(\frac{119}{144}\right)\)	\(e\left(\frac{59}{96}\right)\)	\(e\left(\frac{115}{288}\right)\)	\(e\left(\frac{25}{72}\right)\)	\(e\left(\frac{35}{72}\right)\)	\(e\left(\frac{185}{288}\right)\)	\(e\left(\frac{59}{144}\right)\)
\(\chi_{2432}(55,\cdot)\)	2432.cm	144	no	\(-1\)	\(1\)	\(e\left(\frac{113}{144}\right)\)	\(e\left(\frac{83}{144}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{41}{72}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{13}{144}\right)\)	\(e\left(\frac{13}{36}\right)\)	\(e\left(\frac{29}{36}\right)\)	\(e\left(\frac{71}{144}\right)\)	\(e\left(\frac{17}{72}\right)\)
\(\chi_{2432}(59,\cdot)\)	2432.cr	288	yes	\(1\)	\(1\)	\(e\left(\frac{235}{288}\right)\)	\(e\left(\frac{121}{288}\right)\)	\(e\left(\frac{7}{48}\right)\)	\(e\left(\frac{91}{144}\right)\)	\(e\left(\frac{31}{96}\right)\)	\(e\left(\frac{71}{288}\right)\)	\(e\left(\frac{17}{72}\right)\)	\(e\left(\frac{31}{72}\right)\)	\(e\left(\frac{277}{288}\right)\)	\(e\left(\frac{7}{144}\right)\)
\(\chi_{2432}(61,\cdot)\)	2432.cs	288	yes	\(1\)	\(1\)	\(e\left(\frac{65}{288}\right)\)	\(e\left(\frac{107}{288}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{65}{144}\right)\)	\(e\left(\frac{77}{96}\right)\)	\(e\left(\frac{133}{288}\right)\)	\(e\left(\frac{43}{72}\right)\)	\(e\left(\frac{53}{72}\right)\)	\(e\left(\frac{239}{288}\right)\)	\(e\left(\frac{77}{144}\right)\)
\(\chi_{2432}(63,\cdot)\)	2432.bk	18	no	\(-1\)	\(1\)	\(e\left(\frac{1}{9}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{1}{18}\right)\)	\(e\left(\frac{7}{9}\right)\)	\(e\left(\frac{5}{18}\right)\)	\(e\left(\frac{1}{18}\right)\)
\(\chi_{2432}(65,\cdot)\)	2432.p	6	no	\(-1\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(1\)	\(e\left(\frac{1}{3}\right)\)	\(-1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)
\(\chi_{2432}(67,\cdot)\)	2432.cr	288	yes	\(1\)	\(1\)	\(e\left(\frac{161}{288}\right)\)	\(e\left(\frac{203}{288}\right)\)	\(e\left(\frac{5}{48}\right)\)	\(e\left(\frac{17}{144}\right)\)	\(e\left(\frac{29}{96}\right)\)	\(e\left(\frac{181}{288}\right)\)	\(e\left(\frac{19}{72}\right)\)	\(e\left(\frac{5}{72}\right)\)	\(e\left(\frac{191}{288}\right)\)	\(e\left(\frac{101}{144}\right)\)

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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.