LMFDB - Group of Dirichlet characters of modulus 100014

Show commands: PariGP / SageMath

sage: H = DirichletGroup(100014)

pari: g = idealstar(,100014,2)

Character group

sage: G.order() pari: g.no
Order	=	32760
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{6}\times C_{2730}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{100014}(66677,\cdot)$, $\chi_{100014}(1267,\cdot)$, $\chi_{100014}(32707,\cdot)$

First 32 of 32760 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	$-1$	$1$	$5$	$7$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$
$\chi_{100014}(1,\cdot)$	100014.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{100014}(5,\cdot)$	100014.lr	2730	no	$-1$	$1$	$e\left(\frac{2057}{2730}\right)$	$e\left(\frac{682}{1365}\right)$	$e\left(\frac{1037}{2730}\right)$	$e\left(\frac{737}{1365}\right)$	$e\left(\frac{253}{910}\right)$	$e\left(\frac{46}{195}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{692}{1365}\right)$	$e\left(\frac{2069}{2730}\right)$	$e\left(\frac{218}{273}\right)$
$\chi_{100014}(7,\cdot)$	100014.lv	2730	no	$1$	$1$	$e\left(\frac{682}{1365}\right)$	$e\left(\frac{8}{455}\right)$	$e\left(\frac{592}{1365}\right)$	$e\left(\frac{569}{1365}\right)$	$e\left(\frac{1349}{1365}\right)$	$e\left(\frac{44}{65}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1364}{1365}\right)$	$e\left(\frac{1304}{1365}\right)$	$e\left(\frac{31}{182}\right)$
$\chi_{100014}(11,\cdot)$	100014.lr	2730	no	$-1$	$1$	$e\left(\frac{1037}{2730}\right)$	$e\left(\frac{592}{1365}\right)$	$e\left(\frac{2057}{2730}\right)$	$e\left(\frac{992}{1365}\right)$	$e\left(\frac{293}{910}\right)$	$e\left(\frac{136}{195}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{1037}{1365}\right)$	$e\left(\frac{479}{2730}\right)$	$e\left(\frac{146}{273}\right)$
$\chi_{100014}(13,\cdot)$	100014.le	1365	no	$1$	$1$	$e\left(\frac{737}{1365}\right)$	$e\left(\frac{569}{1365}\right)$	$e\left(\frac{992}{1365}\right)$	$e\left(\frac{769}{1365}\right)$	$e\left(\frac{278}{455}\right)$	$e\left(\frac{107}{195}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{109}{1365}\right)$	$e\left(\frac{734}{1365}\right)$	$e\left(\frac{73}{273}\right)$
$\chi_{100014}(17,\cdot)$	100014.mg	2730	no	$-1$	$1$	$e\left(\frac{253}{910}\right)$	$e\left(\frac{1349}{1365}\right)$	$e\left(\frac{293}{910}\right)$	$e\left(\frac{278}{455}\right)$	$e\left(\frac{1993}{2730}\right)$	$e\left(\frac{107}{195}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{253}{455}\right)$	$e\left(\frac{233}{2730}\right)$	$e\left(\frac{29}{546}\right)$
$\chi_{100014}(19,\cdot)$	100014.hi	195	no	$1$	$1$	$e\left(\frac{46}{195}\right)$	$e\left(\frac{44}{65}\right)$	$e\left(\frac{136}{195}\right)$	$e\left(\frac{107}{195}\right)$	$e\left(\frac{107}{195}\right)$	$e\left(\frac{4}{65}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{92}{195}\right)$	$e\left(\frac{152}{195}\right)$	$e\left(\frac{4}{13}\right)$
$\chi_{100014}(23,\cdot)$	100014.da	30	no	$1$	$1$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{1}{6}\right)$
$\chi_{100014}(25,\cdot)$	100014.le	1365	no	$1$	$1$	$e\left(\frac{692}{1365}\right)$	$e\left(\frac{1364}{1365}\right)$	$e\left(\frac{1037}{1365}\right)$	$e\left(\frac{109}{1365}\right)$	$e\left(\frac{253}{455}\right)$	$e\left(\frac{92}{195}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{19}{1365}\right)$	$e\left(\frac{704}{1365}\right)$	$e\left(\frac{163}{273}\right)$
$\chi_{100014}(29,\cdot)$	100014.lq	2730	no	$-1$	$1$	$e\left(\frac{2069}{2730}\right)$	$e\left(\frac{1304}{1365}\right)$	$e\left(\frac{479}{2730}\right)$	$e\left(\frac{734}{1365}\right)$	$e\left(\frac{233}{2730}\right)$	$e\left(\frac{152}{195}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{704}{1365}\right)$	$e\left(\frac{571}{910}\right)$	$e\left(\frac{503}{546}\right)$
$\chi_{100014}(31,\cdot)$	100014.jy	546	no	$-1$	$1$	$e\left(\frac{218}{273}\right)$	$e\left(\frac{31}{182}\right)$	$e\left(\frac{146}{273}\right)$	$e\left(\frac{73}{273}\right)$	$e\left(\frac{29}{546}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{163}{273}\right)$	$e\left(\frac{503}{546}\right)$	$e\left(\frac{33}{182}\right)$
$\chi_{100014}(35,\cdot)$	100014.lq	2730	no	$-1$	$1$	$e\left(\frac{691}{2730}\right)$	$e\left(\frac{706}{1365}\right)$	$e\left(\frac{2221}{2730}\right)$	$e\left(\frac{1306}{1365}\right)$	$e\left(\frac{727}{2730}\right)$	$e\left(\frac{178}{195}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{691}{1365}\right)$	$e\left(\frac{649}{910}\right)$	$e\left(\frac{529}{546}\right)$
$\chi_{100014}(37,\cdot)$	100014.lx	2730	no	$-1$	$1$	$e\left(\frac{374}{1365}\right)$	$e\left(\frac{41}{2730}\right)$	$e\left(\frac{809}{1365}\right)$	$e\left(\frac{268}{1365}\right)$	$e\left(\frac{2551}{2730}\right)$	$e\left(\frac{64}{195}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{748}{1365}\right)$	$e\left(\frac{237}{910}\right)$	$e\left(\frac{71}{273}\right)$
$\chi_{100014}(41,\cdot)$	100014.mg	2730	no	$-1$	$1$	$e\left(\frac{729}{910}\right)$	$e\left(\frac{292}{1365}\right)$	$e\left(\frac{909}{910}\right)$	$e\left(\frac{159}{455}\right)$	$e\left(\frac{2189}{2730}\right)$	$e\left(\frac{46}{195}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{274}{455}\right)$	$e\left(\frac{1549}{2730}\right)$	$e\left(\frac{85}{546}\right)$
$\chi_{100014}(43,\cdot)$	100014.jx	546	no	$-1$	$1$	$e\left(\frac{64}{273}\right)$	$e\left(\frac{45}{182}\right)$	$e\left(\frac{118}{273}\right)$	$e\left(\frac{59}{273}\right)$	$e\left(\frac{1}{546}\right)$	$e\left(\frac{10}{13}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{128}{273}\right)$	$e\left(\frac{55}{546}\right)$	$e\left(\frac{90}{91}\right)$
$\chi_{100014}(47,\cdot)$	100014.lt	2730	no	$1$	$1$	$e\left(\frac{929}{2730}\right)$	$e\left(\frac{151}{910}\right)$	$e\left(\frac{1619}{2730}\right)$	$e\left(\frac{1019}{1365}\right)$	$e\left(\frac{1214}{1365}\right)$	$e\left(\frac{9}{65}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{929}{1365}\right)$	$e\left(\frac{704}{1365}\right)$	$e\left(\frac{24}{91}\right)$
$\chi_{100014}(49,\cdot)$	100014.ld	1365	no	$1$	$1$	$e\left(\frac{1364}{1365}\right)$	$e\left(\frac{16}{455}\right)$	$e\left(\frac{1184}{1365}\right)$	$e\left(\frac{1138}{1365}\right)$	$e\left(\frac{1333}{1365}\right)$	$e\left(\frac{23}{65}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{1363}{1365}\right)$	$e\left(\frac{1243}{1365}\right)$	$e\left(\frac{31}{91}\right)$
$\chi_{100014}(53,\cdot)$	100014.lt	2730	no	$1$	$1$	$e\left(\frac{1223}{2730}\right)$	$e\left(\frac{907}{910}\right)$	$e\left(\frac{233}{2730}\right)$	$e\left(\frac{263}{1365}\right)$	$e\left(\frac{458}{1365}\right)$	$e\left(\frac{8}{65}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{1223}{1365}\right)$	$e\left(\frac{893}{1365}\right)$	$e\left(\frac{17}{91}\right)$
$\chi_{100014}(55,\cdot)$	100014.ch	15	no	$1$	$1$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{1}{3}\right)$
$\chi_{100014}(59,\cdot)$	100014.ln	2730	no	$1$	$1$	$e\left(\frac{2257}{2730}\right)$	$e\left(\frac{1319}{2730}\right)$	$e\left(\frac{1747}{2730}\right)$	$e\left(\frac{232}{1365}\right)$	$e\left(\frac{167}{1365}\right)$	$e\left(\frac{166}{195}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{892}{1365}\right)$	$e\left(\frac{89}{455}\right)$	$e\left(\frac{200}{273}\right)$
$\chi_{100014}(61,\cdot)$	100014.jp	390	no	$1$	$1$	$e\left(\frac{24}{65}\right)$	$e\left(\frac{184}{195}\right)$	$e\left(\frac{54}{65}\right)$	$e\left(\frac{53}{65}\right)$	$e\left(\frac{94}{195}\right)$	$e\left(\frac{64}{195}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{48}{65}\right)$	$e\left(\frac{74}{195}\right)$	$e\left(\frac{37}{78}\right)$
$\chi_{100014}(65,\cdot)$	100014.kz	910	no	$-1$	$1$	$e\left(\frac{267}{910}\right)$	$e\left(\frac{417}{455}\right)$	$e\left(\frac{97}{910}\right)$	$e\left(\frac{47}{455}\right)$	$e\left(\frac{809}{910}\right)$	$e\left(\frac{51}{65}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{267}{455}\right)$	$e\left(\frac{269}{910}\right)$	$e\left(\frac{6}{91}\right)$
$\chi_{100014}(67,\cdot)$	100014.hd	182	no	$-1$	$1$	$e\left(\frac{66}{91}\right)$	$e\left(\frac{125}{182}\right)$	$e\left(\frac{25}{91}\right)$	$e\left(\frac{58}{91}\right)$	$e\left(\frac{129}{182}\right)$	$e\left(\frac{9}{13}\right)$	$-1$	$e\left(\frac{41}{91}\right)$	$e\left(\frac{179}{182}\right)$	$e\left(\frac{45}{182}\right)$
$\chi_{100014}(71,\cdot)$	100014.gt	130	no	$1$	$1$	$e\left(\frac{83}{130}\right)$	$e\left(\frac{111}{130}\right)$	$e\left(\frac{73}{130}\right)$	$e\left(\frac{28}{65}\right)$	$e\left(\frac{28}{65}\right)$	$e\left(\frac{8}{65}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{18}{65}\right)$	$e\left(\frac{58}{65}\right)$	$e\left(\frac{8}{13}\right)$
$\chi_{100014}(73,\cdot)$	100014.im	273	no	$1$	$1$	$e\left(\frac{227}{273}\right)$	$e\left(\frac{115}{273}\right)$	$e\left(\frac{137}{273}\right)$	$e\left(\frac{205}{273}\right)$	$e\left(\frac{257}{273}\right)$	$e\left(\frac{28}{39}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{181}{273}\right)$	$e\left(\frac{10}{91}\right)$	$e\left(\frac{187}{273}\right)$
$\chi_{100014}(77,\cdot)$	100014.ji	390	no	$-1$	$1$	$e\left(\frac{343}{390}\right)$	$e\left(\frac{88}{195}\right)$	$e\left(\frac{73}{390}\right)$	$e\left(\frac{28}{195}\right)$	$e\left(\frac{121}{390}\right)$	$e\left(\frac{73}{195}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{148}{195}\right)$	$e\left(\frac{17}{130}\right)$	$e\left(\frac{55}{78}\right)$
$\chi_{100014}(83,\cdot)$	100014.jn	390	no	$-1$	$1$	$e\left(\frac{101}{390}\right)$	$e\left(\frac{37}{65}\right)$	$e\left(\frac{341}{390}\right)$	$e\left(\frac{56}{195}\right)$	$e\left(\frac{307}{390}\right)$	$e\left(\frac{27}{65}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{101}{195}\right)$	$e\left(\frac{37}{390}\right)$	$e\left(\frac{1}{13}\right)$
$\chi_{100014}(85,\cdot)$	100014.lv	2730	no	$1$	$1$	$e\left(\frac{43}{1365}\right)$	$e\left(\frac{222}{455}\right)$	$e\left(\frac{958}{1365}\right)$	$e\left(\frac{206}{1365}\right)$	$e\left(\frac{11}{1365}\right)$	$e\left(\frac{51}{65}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{86}{1365}\right)$	$e\left(\frac{1151}{1365}\right)$	$e\left(\frac{155}{182}\right)$
$\chi_{100014}(89,\cdot)$	100014.la	910	no	$1$	$1$	$e\left(\frac{173}{910}\right)$	$e\left(\frac{341}{910}\right)$	$e\left(\frac{373}{910}\right)$	$e\left(\frac{298}{455}\right)$	$e\left(\frac{38}{455}\right)$	$e\left(\frac{44}{65}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{173}{455}\right)$	$e\left(\frac{88}{455}\right)$	$e\left(\frac{109}{182}\right)$
$\chi_{100014}(91,\cdot)$	100014.li	2730	no	$1$	$1$	$e\left(\frac{18}{455}\right)$	$e\left(\frac{593}{1365}\right)$	$e\left(\frac{73}{455}\right)$	$e\left(\frac{446}{455}\right)$	$e\left(\frac{818}{1365}\right)$	$e\left(\frac{44}{195}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{36}{455}\right)$	$e\left(\frac{673}{1365}\right)$	$e\left(\frac{239}{546}\right)$
$\chi_{100014}(95,\cdot)$	100014.lp	2730	no	$-1$	$1$	$e\left(\frac{2701}{2730}\right)$	$e\left(\frac{241}{1365}\right)$	$e\left(\frac{211}{2730}\right)$	$e\left(\frac{121}{1365}\right)$	$e\left(\frac{2257}{2730}\right)$	$e\left(\frac{58}{195}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{1336}{1365}\right)$	$e\left(\frac{489}{910}\right)$	$e\left(\frac{29}{273}\right)$
$\chi_{100014}(97,\cdot)$	100014.kx	910	no	$-1$	$1$	$e\left(\frac{103}{455}\right)$	$e\left(\frac{577}{910}\right)$	$e\left(\frac{443}{455}\right)$	$e\left(\frac{176}{455}\right)$	$e\left(\frac{677}{910}\right)$	$e\left(\frac{43}{65}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{206}{455}\right)$	$e\left(\frac{107}{910}\right)$	$e\left(\frac{43}{182}\right)$

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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	$100014$
Structure	\(C_{2}\times C_{6}\times C_{2730}\)
Order	$32760$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)
\(\chi_{100014}(1,\cdot)\)	100014.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{100014}(5,\cdot)\)	100014.lr	2730	no	\(-1\)	\(1\)	\(e\left(\frac{2057}{2730}\right)\)	\(e\left(\frac{682}{1365}\right)\)	\(e\left(\frac{1037}{2730}\right)\)	\(e\left(\frac{737}{1365}\right)\)	\(e\left(\frac{253}{910}\right)\)	\(e\left(\frac{46}{195}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{692}{1365}\right)\)	\(e\left(\frac{2069}{2730}\right)\)	\(e\left(\frac{218}{273}\right)\)
\(\chi_{100014}(7,\cdot)\)	100014.lv	2730	no	\(1\)	\(1\)	\(e\left(\frac{682}{1365}\right)\)	\(e\left(\frac{8}{455}\right)\)	\(e\left(\frac{592}{1365}\right)\)	\(e\left(\frac{569}{1365}\right)\)	\(e\left(\frac{1349}{1365}\right)\)	\(e\left(\frac{44}{65}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{1364}{1365}\right)\)	\(e\left(\frac{1304}{1365}\right)\)	\(e\left(\frac{31}{182}\right)\)
\(\chi_{100014}(11,\cdot)\)	100014.lr	2730	no	\(-1\)	\(1\)	\(e\left(\frac{1037}{2730}\right)\)	\(e\left(\frac{592}{1365}\right)\)	\(e\left(\frac{2057}{2730}\right)\)	\(e\left(\frac{992}{1365}\right)\)	\(e\left(\frac{293}{910}\right)\)	\(e\left(\frac{136}{195}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{1037}{1365}\right)\)	\(e\left(\frac{479}{2730}\right)\)	\(e\left(\frac{146}{273}\right)\)
\(\chi_{100014}(13,\cdot)\)	100014.le	1365	no	\(1\)	\(1\)	\(e\left(\frac{737}{1365}\right)\)	\(e\left(\frac{569}{1365}\right)\)	\(e\left(\frac{992}{1365}\right)\)	\(e\left(\frac{769}{1365}\right)\)	\(e\left(\frac{278}{455}\right)\)	\(e\left(\frac{107}{195}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{109}{1365}\right)\)	\(e\left(\frac{734}{1365}\right)\)	\(e\left(\frac{73}{273}\right)\)
\(\chi_{100014}(17,\cdot)\)	100014.mg	2730	no	\(-1\)	\(1\)	\(e\left(\frac{253}{910}\right)\)	\(e\left(\frac{1349}{1365}\right)\)	\(e\left(\frac{293}{910}\right)\)	\(e\left(\frac{278}{455}\right)\)	\(e\left(\frac{1993}{2730}\right)\)	\(e\left(\frac{107}{195}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{253}{455}\right)\)	\(e\left(\frac{233}{2730}\right)\)	\(e\left(\frac{29}{546}\right)\)
\(\chi_{100014}(19,\cdot)\)	100014.hi	195	no	\(1\)	\(1\)	\(e\left(\frac{46}{195}\right)\)	\(e\left(\frac{44}{65}\right)\)	\(e\left(\frac{136}{195}\right)\)	\(e\left(\frac{107}{195}\right)\)	\(e\left(\frac{107}{195}\right)\)	\(e\left(\frac{4}{65}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{92}{195}\right)\)	\(e\left(\frac{152}{195}\right)\)	\(e\left(\frac{4}{13}\right)\)
\(\chi_{100014}(23,\cdot)\)	100014.da	30	no	\(1\)	\(1\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{1}{6}\right)\)
\(\chi_{100014}(25,\cdot)\)	100014.le	1365	no	\(1\)	\(1\)	\(e\left(\frac{692}{1365}\right)\)	\(e\left(\frac{1364}{1365}\right)\)	\(e\left(\frac{1037}{1365}\right)\)	\(e\left(\frac{109}{1365}\right)\)	\(e\left(\frac{253}{455}\right)\)	\(e\left(\frac{92}{195}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{19}{1365}\right)\)	\(e\left(\frac{704}{1365}\right)\)	\(e\left(\frac{163}{273}\right)\)
\(\chi_{100014}(29,\cdot)\)	100014.lq	2730	no	\(-1\)	\(1\)	\(e\left(\frac{2069}{2730}\right)\)	\(e\left(\frac{1304}{1365}\right)\)	\(e\left(\frac{479}{2730}\right)\)	\(e\left(\frac{734}{1365}\right)\)	\(e\left(\frac{233}{2730}\right)\)	\(e\left(\frac{152}{195}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{704}{1365}\right)\)	\(e\left(\frac{571}{910}\right)\)	\(e\left(\frac{503}{546}\right)\)
\(\chi_{100014}(31,\cdot)\)	100014.jy	546	no	\(-1\)	\(1\)	\(e\left(\frac{218}{273}\right)\)	\(e\left(\frac{31}{182}\right)\)	\(e\left(\frac{146}{273}\right)\)	\(e\left(\frac{73}{273}\right)\)	\(e\left(\frac{29}{546}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{163}{273}\right)\)	\(e\left(\frac{503}{546}\right)\)	\(e\left(\frac{33}{182}\right)\)
\(\chi_{100014}(35,\cdot)\)	100014.lq	2730	no	\(-1\)	\(1\)	\(e\left(\frac{691}{2730}\right)\)	\(e\left(\frac{706}{1365}\right)\)	\(e\left(\frac{2221}{2730}\right)\)	\(e\left(\frac{1306}{1365}\right)\)	\(e\left(\frac{727}{2730}\right)\)	\(e\left(\frac{178}{195}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{691}{1365}\right)\)	\(e\left(\frac{649}{910}\right)\)	\(e\left(\frac{529}{546}\right)\)
\(\chi_{100014}(37,\cdot)\)	100014.lx	2730	no	\(-1\)	\(1\)	\(e\left(\frac{374}{1365}\right)\)	\(e\left(\frac{41}{2730}\right)\)	\(e\left(\frac{809}{1365}\right)\)	\(e\left(\frac{268}{1365}\right)\)	\(e\left(\frac{2551}{2730}\right)\)	\(e\left(\frac{64}{195}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{748}{1365}\right)\)	\(e\left(\frac{237}{910}\right)\)	\(e\left(\frac{71}{273}\right)\)
\(\chi_{100014}(41,\cdot)\)	100014.mg	2730	no	\(-1\)	\(1\)	\(e\left(\frac{729}{910}\right)\)	\(e\left(\frac{292}{1365}\right)\)	\(e\left(\frac{909}{910}\right)\)	\(e\left(\frac{159}{455}\right)\)	\(e\left(\frac{2189}{2730}\right)\)	\(e\left(\frac{46}{195}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{274}{455}\right)\)	\(e\left(\frac{1549}{2730}\right)\)	\(e\left(\frac{85}{546}\right)\)
\(\chi_{100014}(43,\cdot)\)	100014.jx	546	no	\(-1\)	\(1\)	\(e\left(\frac{64}{273}\right)\)	\(e\left(\frac{45}{182}\right)\)	\(e\left(\frac{118}{273}\right)\)	\(e\left(\frac{59}{273}\right)\)	\(e\left(\frac{1}{546}\right)\)	\(e\left(\frac{10}{13}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{128}{273}\right)\)	\(e\left(\frac{55}{546}\right)\)	\(e\left(\frac{90}{91}\right)\)
\(\chi_{100014}(47,\cdot)\)	100014.lt	2730	no	\(1\)	\(1\)	\(e\left(\frac{929}{2730}\right)\)	\(e\left(\frac{151}{910}\right)\)	\(e\left(\frac{1619}{2730}\right)\)	\(e\left(\frac{1019}{1365}\right)\)	\(e\left(\frac{1214}{1365}\right)\)	\(e\left(\frac{9}{65}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{929}{1365}\right)\)	\(e\left(\frac{704}{1365}\right)\)	\(e\left(\frac{24}{91}\right)\)
\(\chi_{100014}(49,\cdot)\)	100014.ld	1365	no	\(1\)	\(1\)	\(e\left(\frac{1364}{1365}\right)\)	\(e\left(\frac{16}{455}\right)\)	\(e\left(\frac{1184}{1365}\right)\)	\(e\left(\frac{1138}{1365}\right)\)	\(e\left(\frac{1333}{1365}\right)\)	\(e\left(\frac{23}{65}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{1363}{1365}\right)\)	\(e\left(\frac{1243}{1365}\right)\)	\(e\left(\frac{31}{91}\right)\)
\(\chi_{100014}(53,\cdot)\)	100014.lt	2730	no	\(1\)	\(1\)	\(e\left(\frac{1223}{2730}\right)\)	\(e\left(\frac{907}{910}\right)\)	\(e\left(\frac{233}{2730}\right)\)	\(e\left(\frac{263}{1365}\right)\)	\(e\left(\frac{458}{1365}\right)\)	\(e\left(\frac{8}{65}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{1223}{1365}\right)\)	\(e\left(\frac{893}{1365}\right)\)	\(e\left(\frac{17}{91}\right)\)
\(\chi_{100014}(55,\cdot)\)	100014.ch	15	no	\(1\)	\(1\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{1}{3}\right)\)
\(\chi_{100014}(59,\cdot)\)	100014.ln	2730	no	\(1\)	\(1\)	\(e\left(\frac{2257}{2730}\right)\)	\(e\left(\frac{1319}{2730}\right)\)	\(e\left(\frac{1747}{2730}\right)\)	\(e\left(\frac{232}{1365}\right)\)	\(e\left(\frac{167}{1365}\right)\)	\(e\left(\frac{166}{195}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{892}{1365}\right)\)	\(e\left(\frac{89}{455}\right)\)	\(e\left(\frac{200}{273}\right)\)
\(\chi_{100014}(61,\cdot)\)	100014.jp	390	no	\(1\)	\(1\)	\(e\left(\frac{24}{65}\right)\)	\(e\left(\frac{184}{195}\right)\)	\(e\left(\frac{54}{65}\right)\)	\(e\left(\frac{53}{65}\right)\)	\(e\left(\frac{94}{195}\right)\)	\(e\left(\frac{64}{195}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{48}{65}\right)\)	\(e\left(\frac{74}{195}\right)\)	\(e\left(\frac{37}{78}\right)\)
\(\chi_{100014}(65,\cdot)\)	100014.kz	910	no	\(-1\)	\(1\)	\(e\left(\frac{267}{910}\right)\)	\(e\left(\frac{417}{455}\right)\)	\(e\left(\frac{97}{910}\right)\)	\(e\left(\frac{47}{455}\right)\)	\(e\left(\frac{809}{910}\right)\)	\(e\left(\frac{51}{65}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{267}{455}\right)\)	\(e\left(\frac{269}{910}\right)\)	\(e\left(\frac{6}{91}\right)\)
\(\chi_{100014}(67,\cdot)\)	100014.hd	182	no	\(-1\)	\(1\)	\(e\left(\frac{66}{91}\right)\)	\(e\left(\frac{125}{182}\right)\)	\(e\left(\frac{25}{91}\right)\)	\(e\left(\frac{58}{91}\right)\)	\(e\left(\frac{129}{182}\right)\)	\(e\left(\frac{9}{13}\right)\)	\(-1\)	\(e\left(\frac{41}{91}\right)\)	\(e\left(\frac{179}{182}\right)\)	\(e\left(\frac{45}{182}\right)\)
\(\chi_{100014}(71,\cdot)\)	100014.gt	130	no	\(1\)	\(1\)	\(e\left(\frac{83}{130}\right)\)	\(e\left(\frac{111}{130}\right)\)	\(e\left(\frac{73}{130}\right)\)	\(e\left(\frac{28}{65}\right)\)	\(e\left(\frac{28}{65}\right)\)	\(e\left(\frac{8}{65}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{18}{65}\right)\)	\(e\left(\frac{58}{65}\right)\)	\(e\left(\frac{8}{13}\right)\)
\(\chi_{100014}(73,\cdot)\)	100014.im	273	no	\(1\)	\(1\)	\(e\left(\frac{227}{273}\right)\)	\(e\left(\frac{115}{273}\right)\)	\(e\left(\frac{137}{273}\right)\)	\(e\left(\frac{205}{273}\right)\)	\(e\left(\frac{257}{273}\right)\)	\(e\left(\frac{28}{39}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{181}{273}\right)\)	\(e\left(\frac{10}{91}\right)\)	\(e\left(\frac{187}{273}\right)\)
\(\chi_{100014}(77,\cdot)\)	100014.ji	390	no	\(-1\)	\(1\)	\(e\left(\frac{343}{390}\right)\)	\(e\left(\frac{88}{195}\right)\)	\(e\left(\frac{73}{390}\right)\)	\(e\left(\frac{28}{195}\right)\)	\(e\left(\frac{121}{390}\right)\)	\(e\left(\frac{73}{195}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{148}{195}\right)\)	\(e\left(\frac{17}{130}\right)\)	\(e\left(\frac{55}{78}\right)\)
\(\chi_{100014}(83,\cdot)\)	100014.jn	390	no	\(-1\)	\(1\)	\(e\left(\frac{101}{390}\right)\)	\(e\left(\frac{37}{65}\right)\)	\(e\left(\frac{341}{390}\right)\)	\(e\left(\frac{56}{195}\right)\)	\(e\left(\frac{307}{390}\right)\)	\(e\left(\frac{27}{65}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{101}{195}\right)\)	\(e\left(\frac{37}{390}\right)\)	\(e\left(\frac{1}{13}\right)\)
\(\chi_{100014}(85,\cdot)\)	100014.lv	2730	no	\(1\)	\(1\)	\(e\left(\frac{43}{1365}\right)\)	\(e\left(\frac{222}{455}\right)\)	\(e\left(\frac{958}{1365}\right)\)	\(e\left(\frac{206}{1365}\right)\)	\(e\left(\frac{11}{1365}\right)\)	\(e\left(\frac{51}{65}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{86}{1365}\right)\)	\(e\left(\frac{1151}{1365}\right)\)	\(e\left(\frac{155}{182}\right)\)
\(\chi_{100014}(89,\cdot)\)	100014.la	910	no	\(1\)	\(1\)	\(e\left(\frac{173}{910}\right)\)	\(e\left(\frac{341}{910}\right)\)	\(e\left(\frac{373}{910}\right)\)	\(e\left(\frac{298}{455}\right)\)	\(e\left(\frac{38}{455}\right)\)	\(e\left(\frac{44}{65}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{173}{455}\right)\)	\(e\left(\frac{88}{455}\right)\)	\(e\left(\frac{109}{182}\right)\)
\(\chi_{100014}(91,\cdot)\)	100014.li	2730	no	\(1\)	\(1\)	\(e\left(\frac{18}{455}\right)\)	\(e\left(\frac{593}{1365}\right)\)	\(e\left(\frac{73}{455}\right)\)	\(e\left(\frac{446}{455}\right)\)	\(e\left(\frac{818}{1365}\right)\)	\(e\left(\frac{44}{195}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{36}{455}\right)\)	\(e\left(\frac{673}{1365}\right)\)	\(e\left(\frac{239}{546}\right)\)
\(\chi_{100014}(95,\cdot)\)	100014.lp	2730	no	\(-1\)	\(1\)	\(e\left(\frac{2701}{2730}\right)\)	\(e\left(\frac{241}{1365}\right)\)	\(e\left(\frac{211}{2730}\right)\)	\(e\left(\frac{121}{1365}\right)\)	\(e\left(\frac{2257}{2730}\right)\)	\(e\left(\frac{58}{195}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{1336}{1365}\right)\)	\(e\left(\frac{489}{910}\right)\)	\(e\left(\frac{29}{273}\right)\)
\(\chi_{100014}(97,\cdot)\)	100014.kx	910	no	\(-1\)	\(1\)	\(e\left(\frac{103}{455}\right)\)	\(e\left(\frac{577}{910}\right)\)	\(e\left(\frac{443}{455}\right)\)	\(e\left(\frac{176}{455}\right)\)	\(e\left(\frac{677}{910}\right)\)	\(e\left(\frac{43}{65}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{206}{455}\right)\)	\(e\left(\frac{107}{910}\right)\)	\(e\left(\frac{43}{182}\right)\)

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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.