LMFDB - Group of Dirichlet characters of modulus 14994

Show commands: PariGP / SageMath

sage: H = DirichletGroup(14994)

pari: g = idealstar(,14994,2)

Character group

sage: G.order() pari: g.no
Order	=	4032
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{6}\times C_{336}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{14994}(1667,\cdot)$, $\chi_{14994}(12547,\cdot)$, $\chi_{14994}(14113,\cdot)$

First 32 of 4032 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	$-1$	$1$	$5$	$11$	$13$	$19$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{14994}(1,\cdot)$	14994.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{14994}(5,\cdot)$	14994.hc	336	no	$-1$	$1$	$e\left(\frac{253}{336}\right)$	$e\left(\frac{215}{336}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{31}{336}\right)$	$e\left(\frac{85}{168}\right)$	$e\left(\frac{109}{336}\right)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{137}{336}\right)$	$e\left(\frac{323}{336}\right)$
$\chi_{14994}(11,\cdot)$	14994.hf	336	no	$1$	$1$	$e\left(\frac{215}{336}\right)$	$e\left(\frac{109}{336}\right)$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{197}{336}\right)$	$e\left(\frac{47}{168}\right)$	$e\left(\frac{335}{336}\right)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{307}{336}\right)$	$e\left(\frac{313}{336}\right)$
$\chi_{14994}(13,\cdot)$	14994.fy	84	no	$-1$	$1$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{25}{42}\right)$	$1$	$e\left(\frac{23}{84}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{61}{84}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{17}{84}\right)$
$\chi_{14994}(19,\cdot)$	14994.dq	24	no	$-1$	$1$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{11}{24}\right)$	$1$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{1}{8}\right)$
$\chi_{14994}(23,\cdot)$	14994.hf	336	no	$1$	$1$	$e\left(\frac{31}{336}\right)$	$e\left(\frac{197}{336}\right)$	$e\left(\frac{23}{84}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{205}{336}\right)$	$e\left(\frac{31}{168}\right)$	$e\left(\frac{103}{336}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{299}{336}\right)$	$e\left(\frac{17}{336}\right)$
$\chi_{14994}(25,\cdot)$	14994.gt	168	no	$1$	$1$	$e\left(\frac{85}{168}\right)$	$e\left(\frac{47}{168}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{31}{168}\right)$	$e\left(\frac{1}{84}\right)$	$e\left(\frac{109}{168}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{137}{168}\right)$	$e\left(\frac{155}{168}\right)$
$\chi_{14994}(29,\cdot)$	14994.ho	336	no	$1$	$1$	$e\left(\frac{109}{336}\right)$	$e\left(\frac{335}{336}\right)$	$e\left(\frac{61}{84}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{103}{336}\right)$	$e\left(\frac{109}{168}\right)$	$e\left(\frac{149}{336}\right)$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{59}{112}\right)$	$e\left(\frac{67}{336}\right)$
$\chi_{14994}(31,\cdot)$	14994.fm	48	no	$1$	$1$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{7}{16}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{17}{48}\right)$
$\chi_{14994}(37,\cdot)$	14994.hl	336	no	$-1$	$1$	$e\left(\frac{137}{336}\right)$	$e\left(\frac{307}{336}\right)$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{299}{336}\right)$	$e\left(\frac{137}{168}\right)$	$e\left(\frac{59}{112}\right)$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{149}{336}\right)$	$e\left(\frac{13}{112}\right)$
$\chi_{14994}(41,\cdot)$	14994.hi	336	no	$-1$	$1$	$e\left(\frac{323}{336}\right)$	$e\left(\frac{313}{336}\right)$	$e\left(\frac{17}{84}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{17}{336}\right)$	$e\left(\frac{155}{168}\right)$	$e\left(\frac{67}{336}\right)$	$e\left(\frac{17}{48}\right)$	$e\left(\frac{13}{112}\right)$	$e\left(\frac{29}{336}\right)$
$\chi_{14994}(43,\cdot)$	14994.gq	168	no	$1$	$1$	$e\left(\frac{17}{168}\right)$	$e\left(\frac{43}{168}\right)$	$e\left(\frac{23}{42}\right)$	$-i$	$e\left(\frac{107}{168}\right)$	$e\left(\frac{17}{84}\right)$	$e\left(\frac{145}{168}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{39}{56}\right)$	$e\left(\frac{143}{168}\right)$
$\chi_{14994}(47,\cdot)$	14994.fx	84	no	$1$	$1$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{19}{28}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{84}\right)$	$e\left(\frac{31}{84}\right)$
$\chi_{14994}(53,\cdot)$	14994.hb	168	no	$-1$	$1$	$e\left(\frac{131}{168}\right)$	$e\left(\frac{25}{168}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{113}{168}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{9}{56}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{83}{168}\right)$	$e\left(\frac{39}{56}\right)$
$\chi_{14994}(55,\cdot)$	14994.dv	28	no	$-1$	$1$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{3}{14}\right)$	$1$	$e\left(\frac{19}{28}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{9}{28}\right)$	$i$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{25}{28}\right)$
$\chi_{14994}(59,\cdot)$	14994.gv	168	no	$1$	$1$	$e\left(\frac{15}{56}\right)$	$e\left(\frac{33}{56}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{17}{56}\right)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{89}{168}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{89}{168}\right)$	$e\left(\frac{115}{168}\right)$
$\chi_{14994}(61,\cdot)$	14994.hh	336	no	$1$	$1$	$e\left(\frac{97}{112}\right)$	$e\left(\frac{51}{112}\right)$	$e\left(\frac{61}{84}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{11}{112}\right)$	$e\left(\frac{41}{56}\right)$	$e\left(\frac{275}{336}\right)$	$e\left(\frac{41}{48}\right)$	$e\left(\frac{191}{336}\right)$	$e\left(\frac{109}{336}\right)$
$\chi_{14994}(65,\cdot)$	14994.hg	336	no	$1$	$1$	$e\left(\frac{51}{112}\right)$	$e\left(\frac{17}{112}\right)$	$e\left(\frac{25}{84}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{41}{112}\right)$	$e\left(\frac{51}{56}\right)$	$e\left(\frac{17}{336}\right)$	$e\left(\frac{35}{48}\right)$	$e\left(\frac{269}{336}\right)$	$e\left(\frac{55}{336}\right)$
$\chi_{14994}(67,\cdot)$	14994.r	6	no	$1$	$1$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$-1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$
$\chi_{14994}(71,\cdot)$	14994.gi	112	no	$1$	$1$	$e\left(\frac{43}{112}\right)$	$e\left(\frac{89}{112}\right)$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{17}{112}\right)$	$e\left(\frac{43}{56}\right)$	$e\left(\frac{67}{112}\right)$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{39}{112}\right)$	$e\left(\frac{85}{112}\right)$
$\chi_{14994}(73,\cdot)$	14994.hn	336	no	$1$	$1$	$e\left(\frac{37}{336}\right)$	$e\left(\frac{143}{336}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{55}{336}\right)$	$e\left(\frac{37}{168}\right)$	$e\left(\frac{103}{112}\right)$	$e\left(\frac{47}{48}\right)$	$e\left(\frac{169}{336}\right)$	$e\left(\frac{73}{112}\right)$
$\chi_{14994}(79,\cdot)$	14994.fd	48	no	$-1$	$1$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{17}{48}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{5}{48}\right)$	$e\left(\frac{7}{48}\right)$
$\chi_{14994}(83,\cdot)$	14994.gw	168	no	$1$	$1$	$e\left(\frac{155}{168}\right)$	$e\left(\frac{61}{168}\right)$	$e\left(\frac{19}{21}\right)$	$-i$	$e\left(\frac{101}{168}\right)$	$e\left(\frac{71}{84}\right)$	$e\left(\frac{151}{168}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{13}{56}\right)$	$e\left(\frac{29}{168}\right)$
$\chi_{14994}(89,\cdot)$	14994.gh	84	no	$1$	$1$	$e\left(\frac{11}{84}\right)$	$e\left(\frac{55}{84}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{23}{84}\right)$	$e\left(\frac{27}{28}\right)$
$\chi_{14994}(95,\cdot)$	14994.hg	336	no	$1$	$1$	$e\left(\frac{33}{112}\right)$	$e\left(\frac{11}{112}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{99}{112}\right)$	$e\left(\frac{33}{56}\right)$	$e\left(\frac{235}{336}\right)$	$e\left(\frac{1}{48}\right)$	$e\left(\frac{319}{336}\right)$	$e\left(\frac{29}{336}\right)$
$\chi_{14994}(97,\cdot)$	14994.fh	48	no	$1$	$1$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{17}{48}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{25}{48}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{11}{48}\right)$	$e\left(\frac{7}{48}\right)$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{37}{48}\right)$
$\chi_{14994}(101,\cdot)$	14994.ei	42	no	$1$	$1$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{2}{21}\right)$	$1$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{29}{42}\right)$
$\chi_{14994}(103,\cdot)$	14994.eh	42	no	$-1$	$1$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{16}{21}\right)$	$-1$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{1}{42}\right)$
$\chi_{14994}(107,\cdot)$	14994.hp	336	no	$1$	$1$	$e\left(\frac{149}{336}\right)$	$e\left(\frac{199}{336}\right)$	$e\left(\frac{23}{28}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{335}{336}\right)$	$e\left(\frac{149}{168}\right)$	$e\left(\frac{47}{112}\right)$	$e\left(\frac{7}{48}\right)$	$e\left(\frac{281}{336}\right)$	$e\left(\frac{73}{112}\right)$
$\chi_{14994}(109,\cdot)$	14994.hl	336	no	$-1$	$1$	$e\left(\frac{19}{336}\right)$	$e\left(\frac{305}{336}\right)$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{169}{336}\right)$	$e\left(\frac{19}{168}\right)$	$e\left(\frac{9}{112}\right)$	$e\left(\frac{41}{48}\right)$	$e\left(\frac{55}{336}\right)$	$e\left(\frac{95}{112}\right)$
$\chi_{14994}(113,\cdot)$	14994.ho	336	no	$1$	$1$	$e\left(\frac{23}{336}\right)$	$e\left(\frac{157}{336}\right)$	$e\left(\frac{83}{84}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{293}{336}\right)$	$e\left(\frac{23}{168}\right)$	$e\left(\frac{127}{336}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{33}{112}\right)$	$e\left(\frac{233}{336}\right)$
$\chi_{14994}(115,\cdot)$	14994.fv	84	no	$-1$	$1$	$e\left(\frac{71}{84}\right)$	$e\left(\frac{19}{84}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{53}{84}\right)$	$-i$	$e\left(\frac{25}{84}\right)$	$e\left(\frac{1}{84}\right)$

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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	$14994$
Structure	\(C_{2}\times C_{6}\times C_{336}\)
Order	$4032$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(11\)	\(13\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(37\)	\(41\)
\(\chi_{14994}(1,\cdot)\)	14994.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{14994}(5,\cdot)\)	14994.hc	336	no	\(-1\)	\(1\)	\(e\left(\frac{253}{336}\right)\)	\(e\left(\frac{215}{336}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{31}{336}\right)\)	\(e\left(\frac{85}{168}\right)\)	\(e\left(\frac{109}{336}\right)\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{137}{336}\right)\)	\(e\left(\frac{323}{336}\right)\)
\(\chi_{14994}(11,\cdot)\)	14994.hf	336	no	\(1\)	\(1\)	\(e\left(\frac{215}{336}\right)\)	\(e\left(\frac{109}{336}\right)\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{197}{336}\right)\)	\(e\left(\frac{47}{168}\right)\)	\(e\left(\frac{335}{336}\right)\)	\(e\left(\frac{15}{16}\right)\)	\(e\left(\frac{307}{336}\right)\)	\(e\left(\frac{313}{336}\right)\)
\(\chi_{14994}(13,\cdot)\)	14994.fy	84	no	\(-1\)	\(1\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(1\)	\(e\left(\frac{23}{84}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{61}{84}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{17}{84}\right)\)
\(\chi_{14994}(19,\cdot)\)	14994.dq	24	no	\(-1\)	\(1\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(1\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{1}{8}\right)\)
\(\chi_{14994}(23,\cdot)\)	14994.hf	336	no	\(1\)	\(1\)	\(e\left(\frac{31}{336}\right)\)	\(e\left(\frac{197}{336}\right)\)	\(e\left(\frac{23}{84}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{205}{336}\right)\)	\(e\left(\frac{31}{168}\right)\)	\(e\left(\frac{103}{336}\right)\)	\(e\left(\frac{7}{16}\right)\)	\(e\left(\frac{299}{336}\right)\)	\(e\left(\frac{17}{336}\right)\)
\(\chi_{14994}(25,\cdot)\)	14994.gt	168	no	\(1\)	\(1\)	\(e\left(\frac{85}{168}\right)\)	\(e\left(\frac{47}{168}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{31}{168}\right)\)	\(e\left(\frac{1}{84}\right)\)	\(e\left(\frac{109}{168}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{137}{168}\right)\)	\(e\left(\frac{155}{168}\right)\)
\(\chi_{14994}(29,\cdot)\)	14994.ho	336	no	\(1\)	\(1\)	\(e\left(\frac{109}{336}\right)\)	\(e\left(\frac{335}{336}\right)\)	\(e\left(\frac{61}{84}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{103}{336}\right)\)	\(e\left(\frac{109}{168}\right)\)	\(e\left(\frac{149}{336}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{59}{112}\right)\)	\(e\left(\frac{67}{336}\right)\)
\(\chi_{14994}(31,\cdot)\)	14994.fm	48	no	\(1\)	\(1\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{15}{16}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{7}{16}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{17}{48}\right)\)
\(\chi_{14994}(37,\cdot)\)	14994.hl	336	no	\(-1\)	\(1\)	\(e\left(\frac{137}{336}\right)\)	\(e\left(\frac{307}{336}\right)\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{299}{336}\right)\)	\(e\left(\frac{137}{168}\right)\)	\(e\left(\frac{59}{112}\right)\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{149}{336}\right)\)	\(e\left(\frac{13}{112}\right)\)
\(\chi_{14994}(41,\cdot)\)	14994.hi	336	no	\(-1\)	\(1\)	\(e\left(\frac{323}{336}\right)\)	\(e\left(\frac{313}{336}\right)\)	\(e\left(\frac{17}{84}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{17}{336}\right)\)	\(e\left(\frac{155}{168}\right)\)	\(e\left(\frac{67}{336}\right)\)	\(e\left(\frac{17}{48}\right)\)	\(e\left(\frac{13}{112}\right)\)	\(e\left(\frac{29}{336}\right)\)
\(\chi_{14994}(43,\cdot)\)	14994.gq	168	no	\(1\)	\(1\)	\(e\left(\frac{17}{168}\right)\)	\(e\left(\frac{43}{168}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(-i\)	\(e\left(\frac{107}{168}\right)\)	\(e\left(\frac{17}{84}\right)\)	\(e\left(\frac{145}{168}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{39}{56}\right)\)	\(e\left(\frac{143}{168}\right)\)
\(\chi_{14994}(47,\cdot)\)	14994.fx	84	no	\(1\)	\(1\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{3}{28}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{5}{84}\right)\)	\(e\left(\frac{31}{84}\right)\)
\(\chi_{14994}(53,\cdot)\)	14994.hb	168	no	\(-1\)	\(1\)	\(e\left(\frac{131}{168}\right)\)	\(e\left(\frac{25}{168}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{113}{168}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{9}{56}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{83}{168}\right)\)	\(e\left(\frac{39}{56}\right)\)
\(\chi_{14994}(55,\cdot)\)	14994.dv	28	no	\(-1\)	\(1\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{27}{28}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(1\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(i\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{25}{28}\right)\)
\(\chi_{14994}(59,\cdot)\)	14994.gv	168	no	\(1\)	\(1\)	\(e\left(\frac{15}{56}\right)\)	\(e\left(\frac{33}{56}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{17}{56}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{89}{168}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{89}{168}\right)\)	\(e\left(\frac{115}{168}\right)\)
\(\chi_{14994}(61,\cdot)\)	14994.hh	336	no	\(1\)	\(1\)	\(e\left(\frac{97}{112}\right)\)	\(e\left(\frac{51}{112}\right)\)	\(e\left(\frac{61}{84}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{11}{112}\right)\)	\(e\left(\frac{41}{56}\right)\)	\(e\left(\frac{275}{336}\right)\)	\(e\left(\frac{41}{48}\right)\)	\(e\left(\frac{191}{336}\right)\)	\(e\left(\frac{109}{336}\right)\)
\(\chi_{14994}(65,\cdot)\)	14994.hg	336	no	\(1\)	\(1\)	\(e\left(\frac{51}{112}\right)\)	\(e\left(\frac{17}{112}\right)\)	\(e\left(\frac{25}{84}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{41}{112}\right)\)	\(e\left(\frac{51}{56}\right)\)	\(e\left(\frac{17}{336}\right)\)	\(e\left(\frac{35}{48}\right)\)	\(e\left(\frac{269}{336}\right)\)	\(e\left(\frac{55}{336}\right)\)
\(\chi_{14994}(67,\cdot)\)	14994.r	6	no	\(1\)	\(1\)	\(-1\)	\(-1\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(-1\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{6}\right)\)
\(\chi_{14994}(71,\cdot)\)	14994.gi	112	no	\(1\)	\(1\)	\(e\left(\frac{43}{112}\right)\)	\(e\left(\frac{89}{112}\right)\)	\(e\left(\frac{3}{28}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{17}{112}\right)\)	\(e\left(\frac{43}{56}\right)\)	\(e\left(\frac{67}{112}\right)\)	\(e\left(\frac{9}{16}\right)\)	\(e\left(\frac{39}{112}\right)\)	\(e\left(\frac{85}{112}\right)\)
\(\chi_{14994}(73,\cdot)\)	14994.hn	336	no	\(1\)	\(1\)	\(e\left(\frac{37}{336}\right)\)	\(e\left(\frac{143}{336}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{55}{336}\right)\)	\(e\left(\frac{37}{168}\right)\)	\(e\left(\frac{103}{112}\right)\)	\(e\left(\frac{47}{48}\right)\)	\(e\left(\frac{169}{336}\right)\)	\(e\left(\frac{73}{112}\right)\)
\(\chi_{14994}(79,\cdot)\)	14994.fd	48	no	\(-1\)	\(1\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{9}{16}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{17}{48}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{5}{48}\right)\)	\(e\left(\frac{7}{48}\right)\)
\(\chi_{14994}(83,\cdot)\)	14994.gw	168	no	\(1\)	\(1\)	\(e\left(\frac{155}{168}\right)\)	\(e\left(\frac{61}{168}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(-i\)	\(e\left(\frac{101}{168}\right)\)	\(e\left(\frac{71}{84}\right)\)	\(e\left(\frac{151}{168}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{13}{56}\right)\)	\(e\left(\frac{29}{168}\right)\)
\(\chi_{14994}(89,\cdot)\)	14994.gh	84	no	\(1\)	\(1\)	\(e\left(\frac{11}{84}\right)\)	\(e\left(\frac{55}{84}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{3}{28}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{23}{84}\right)\)	\(e\left(\frac{27}{28}\right)\)
\(\chi_{14994}(95,\cdot)\)	14994.hg	336	no	\(1\)	\(1\)	\(e\left(\frac{33}{112}\right)\)	\(e\left(\frac{11}{112}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{99}{112}\right)\)	\(e\left(\frac{33}{56}\right)\)	\(e\left(\frac{235}{336}\right)\)	\(e\left(\frac{1}{48}\right)\)	\(e\left(\frac{319}{336}\right)\)	\(e\left(\frac{29}{336}\right)\)
\(\chi_{14994}(97,\cdot)\)	14994.fh	48	no	\(1\)	\(1\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{17}{48}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{25}{48}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{11}{48}\right)\)	\(e\left(\frac{7}{48}\right)\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{37}{48}\right)\)
\(\chi_{14994}(101,\cdot)\)	14994.ei	42	no	\(1\)	\(1\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(1\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{29}{42}\right)\)
\(\chi_{14994}(103,\cdot)\)	14994.eh	42	no	\(-1\)	\(1\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(-1\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{1}{42}\right)\)
\(\chi_{14994}(107,\cdot)\)	14994.hp	336	no	\(1\)	\(1\)	\(e\left(\frac{149}{336}\right)\)	\(e\left(\frac{199}{336}\right)\)	\(e\left(\frac{23}{28}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{335}{336}\right)\)	\(e\left(\frac{149}{168}\right)\)	\(e\left(\frac{47}{112}\right)\)	\(e\left(\frac{7}{48}\right)\)	\(e\left(\frac{281}{336}\right)\)	\(e\left(\frac{73}{112}\right)\)
\(\chi_{14994}(109,\cdot)\)	14994.hl	336	no	\(-1\)	\(1\)	\(e\left(\frac{19}{336}\right)\)	\(e\left(\frac{305}{336}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{169}{336}\right)\)	\(e\left(\frac{19}{168}\right)\)	\(e\left(\frac{9}{112}\right)\)	\(e\left(\frac{41}{48}\right)\)	\(e\left(\frac{55}{336}\right)\)	\(e\left(\frac{95}{112}\right)\)
\(\chi_{14994}(113,\cdot)\)	14994.ho	336	no	\(1\)	\(1\)	\(e\left(\frac{23}{336}\right)\)	\(e\left(\frac{157}{336}\right)\)	\(e\left(\frac{83}{84}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{293}{336}\right)\)	\(e\left(\frac{23}{168}\right)\)	\(e\left(\frac{127}{336}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{33}{112}\right)\)	\(e\left(\frac{233}{336}\right)\)
\(\chi_{14994}(115,\cdot)\)	14994.fv	84	no	\(-1\)	\(1\)	\(e\left(\frac{71}{84}\right)\)	\(e\left(\frac{19}{84}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{53}{84}\right)\)	\(-i\)	\(e\left(\frac{25}{84}\right)\)	\(e\left(\frac{1}{84}\right)\)

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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.