LMFDB - Group of Dirichlet characters of modulus 33957

sage:H = DirichletGroup(33957)

pari:g = idealstar(,33957,2)

Character group

sage:G.order() pari:g.no
Order	=	17640
sage:H.invariants() pari:g.cyc
Structure	=	$C_{2}\times C_{6}\times C_{1470}$
sage:H.gens() pari:g.gen
Generators	=	$\chi_{33957}(18866,\cdot)$, $\chi_{33957}(14752,\cdot)$, $\chi_{33957}(24697,\cdot)$

First 32 of 17640 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	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$13$	$16$	$17$	$19$	$20$
$\chi_{33957}(1,\cdot)$	33957.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{33957}(2,\cdot)$	33957.ik	1470	yes	$1$	$1$	$e\left(\frac{206}{735}\right)$	$e\left(\frac{412}{735}\right)$	$e\left(\frac{181}{490}\right)$	$e\left(\frac{206}{245}\right)$	$e\left(\frac{191}{294}\right)$	$e\left(\frac{727}{1470}\right)$	$e\left(\frac{89}{735}\right)$	$e\left(\frac{659}{735}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{1367}{1470}\right)$
$\chi_{33957}(4,\cdot)$	33957.ib	735	yes	$1$	$1$	$e\left(\frac{412}{735}\right)$	$e\left(\frac{89}{735}\right)$	$e\left(\frac{181}{245}\right)$	$e\left(\frac{167}{245}\right)$	$e\left(\frac{44}{147}\right)$	$e\left(\frac{727}{735}\right)$	$e\left(\frac{178}{735}\right)$	$e\left(\frac{583}{735}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{632}{735}\right)$
$\chi_{33957}(5,\cdot)$	33957.ii	1470	yes	$1$	$1$	$e\left(\frac{181}{490}\right)$	$e\left(\frac{181}{245}\right)$	$e\left(\frac{461}{735}\right)$	$e\left(\frac{53}{490}\right)$	$e\left(\frac{293}{294}\right)$	$e\left(\frac{263}{1470}\right)$	$e\left(\frac{117}{245}\right)$	$e\left(\frac{416}{735}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{269}{735}\right)$
$\chi_{33957}(8,\cdot)$	33957.hz	490	no	$1$	$1$	$e\left(\frac{206}{245}\right)$	$e\left(\frac{167}{245}\right)$	$e\left(\frac{53}{490}\right)$	$e\left(\frac{128}{245}\right)$	$e\left(\frac{93}{98}\right)$	$e\left(\frac{237}{490}\right)$	$e\left(\frac{89}{245}\right)$	$e\left(\frac{169}{245}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{387}{490}\right)$
$\chi_{33957}(10,\cdot)$	33957.gz	294	no	$1$	$1$	$e\left(\frac{191}{294}\right)$	$e\left(\frac{44}{147}\right)$	$e\left(\frac{293}{294}\right)$	$e\left(\frac{93}{98}\right)$	$e\left(\frac{95}{147}\right)$	$e\left(\frac{33}{49}\right)$	$e\left(\frac{88}{147}\right)$	$e\left(\frac{68}{147}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{29}{98}\right)$
$\chi_{33957}(13,\cdot)$	33957.ig	1470	yes	$1$	$1$	$e\left(\frac{727}{1470}\right)$	$e\left(\frac{727}{735}\right)$	$e\left(\frac{263}{1470}\right)$	$e\left(\frac{237}{490}\right)$	$e\left(\frac{33}{49}\right)$	$e\left(\frac{31}{735}\right)$	$e\left(\frac{719}{735}\right)$	$e\left(\frac{33}{245}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{247}{1470}\right)$
$\chi_{33957}(16,\cdot)$	33957.ib	735	yes	$1$	$1$	$e\left(\frac{89}{735}\right)$	$e\left(\frac{178}{735}\right)$	$e\left(\frac{117}{245}\right)$	$e\left(\frac{89}{245}\right)$	$e\left(\frac{88}{147}\right)$	$e\left(\frac{719}{735}\right)$	$e\left(\frac{356}{735}\right)$	$e\left(\frac{431}{735}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{529}{735}\right)$
$\chi_{33957}(17,\cdot)$	33957.ja	1470	no	$-1$	$1$	$e\left(\frac{659}{735}\right)$	$e\left(\frac{583}{735}\right)$	$e\left(\frac{416}{735}\right)$	$e\left(\frac{169}{245}\right)$	$e\left(\frac{68}{147}\right)$	$e\left(\frac{33}{245}\right)$	$e\left(\frac{431}{735}\right)$	$e\left(\frac{1067}{1470}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{88}{245}\right)$
$\chi_{33957}(19,\cdot)$	33957.cs	30	no	$1$	$1$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{11}{30}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{33957}(20,\cdot)$	33957.jf	1470	yes	$1$	$1$	$e\left(\frac{1367}{1470}\right)$	$e\left(\frac{632}{735}\right)$	$e\left(\frac{269}{735}\right)$	$e\left(\frac{387}{490}\right)$	$e\left(\frac{29}{98}\right)$	$e\left(\frac{247}{1470}\right)$	$e\left(\frac{529}{735}\right)$	$e\left(\frac{88}{245}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{166}{735}\right)$
$\chi_{33957}(23,\cdot)$	33957.gv	294	no	$-1$	$1$	$e\left(\frac{5}{98}\right)$	$e\left(\frac{5}{49}\right)$	$e\left(\frac{101}{294}\right)$	$e\left(\frac{15}{98}\right)$	$e\left(\frac{58}{147}\right)$	$e\left(\frac{95}{147}\right)$	$e\left(\frac{10}{49}\right)$	$e\left(\frac{131}{294}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{131}{294}\right)$
$\chi_{33957}(25,\cdot)$	33957.id	735	yes	$1$	$1$	$e\left(\frac{181}{245}\right)$	$e\left(\frac{117}{245}\right)$	$e\left(\frac{187}{735}\right)$	$e\left(\frac{53}{245}\right)$	$e\left(\frac{146}{147}\right)$	$e\left(\frac{263}{735}\right)$	$e\left(\frac{234}{245}\right)$	$e\left(\frac{97}{735}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{538}{735}\right)$
$\chi_{33957}(26,\cdot)$	33957.in	1470	no	$1$	$1$	$e\left(\frac{1139}{1470}\right)$	$e\left(\frac{404}{735}\right)$	$e\left(\frac{403}{735}\right)$	$e\left(\frac{159}{490}\right)$	$e\left(\frac{95}{294}\right)$	$e\left(\frac{263}{490}\right)$	$e\left(\frac{73}{735}\right)$	$e\left(\frac{23}{735}\right)$	$e\left(\frac{23}{30}\right)$	$e\left(\frac{24}{245}\right)$
$\chi_{33957}(29,\cdot)$	33957.jc	1470	yes	$1$	$1$	$e\left(\frac{232}{735}\right)$	$e\left(\frac{464}{735}\right)$	$e\left(\frac{181}{1470}\right)$	$e\left(\frac{232}{245}\right)$	$e\left(\frac{43}{98}\right)$	$e\left(\frac{79}{1470}\right)$	$e\left(\frac{193}{735}\right)$	$e\left(\frac{46}{245}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1109}{1470}\right)$
$\chi_{33957}(31,\cdot)$	33957.ft	210	no	$-1$	$1$	$e\left(\frac{73}{105}\right)$	$e\left(\frac{41}{105}\right)$	$e\left(\frac{13}{70}\right)$	$e\left(\frac{3}{35}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{41}{210}\right)$	$e\left(\frac{82}{105}\right)$	$e\left(\frac{149}{210}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{121}{210}\right)$
$\chi_{33957}(32,\cdot)$	33957.hm	294	yes	$1$	$1$	$e\left(\frac{59}{147}\right)$	$e\left(\frac{118}{147}\right)$	$e\left(\frac{83}{98}\right)$	$e\left(\frac{10}{49}\right)$	$e\left(\frac{73}{294}\right)$	$e\left(\frac{139}{294}\right)$	$e\left(\frac{89}{147}\right)$	$e\left(\frac{71}{147}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{191}{294}\right)$
$\chi_{33957}(34,\cdot)$	33957.gs	294	no	$-1$	$1$	$e\left(\frac{26}{147}\right)$	$e\left(\frac{52}{147}\right)$	$e\left(\frac{275}{294}\right)$	$e\left(\frac{26}{49}\right)$	$e\left(\frac{11}{98}\right)$	$e\left(\frac{185}{294}\right)$	$e\left(\frac{104}{147}\right)$	$e\left(\frac{61}{98}\right)$	$-1$	$e\left(\frac{85}{294}\right)$
$\chi_{33957}(37,\cdot)$	33957.ic	735	no	$1$	$1$	$e\left(\frac{22}{735}\right)$	$e\left(\frac{44}{735}\right)$	$e\left(\frac{73}{735}\right)$	$e\left(\frac{22}{245}\right)$	$e\left(\frac{19}{147}\right)$	$e\left(\frac{229}{245}\right)$	$e\left(\frac{88}{735}\right)$	$e\left(\frac{68}{735}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{39}{245}\right)$
$\chi_{33957}(38,\cdot)$	33957.ii	1470	yes	$1$	$1$	$e\left(\frac{121}{490}\right)$	$e\left(\frac{121}{245}\right)$	$e\left(\frac{541}{735}\right)$	$e\left(\frac{363}{490}\right)$	$e\left(\frac{289}{294}\right)$	$e\left(\frac{433}{1470}\right)$	$e\left(\frac{242}{245}\right)$	$e\left(\frac{316}{735}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{169}{735}\right)$
$\chi_{33957}(40,\cdot)$	33957.iu	1470	yes	$1$	$1$	$e\left(\frac{103}{490}\right)$	$e\left(\frac{103}{245}\right)$	$e\left(\frac{1081}{1470}\right)$	$e\left(\frac{309}{490}\right)$	$e\left(\frac{139}{147}\right)$	$e\left(\frac{487}{735}\right)$	$e\left(\frac{206}{245}\right)$	$e\left(\frac{188}{735}\right)$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{229}{1470}\right)$
$\chi_{33957}(41,\cdot)$	33957.if	1470	yes	$-1$	$1$	$e\left(\frac{653}{735}\right)$	$e\left(\frac{571}{735}\right)$	$e\left(\frac{307}{735}\right)$	$e\left(\frac{163}{245}\right)$	$e\left(\frac{15}{49}\right)$	$e\left(\frac{268}{735}\right)$	$e\left(\frac{407}{735}\right)$	$e\left(\frac{373}{490}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{143}{735}\right)$
$\chi_{33957}(43,\cdot)$	33957.gt	294	yes	$-1$	$1$	$e\left(\frac{37}{294}\right)$	$e\left(\frac{37}{147}\right)$	$e\left(\frac{136}{147}\right)$	$e\left(\frac{37}{98}\right)$	$e\left(\frac{5}{98}\right)$	$e\left(\frac{191}{294}\right)$	$e\left(\frac{74}{147}\right)$	$e\left(\frac{1}{98}\right)$	$-1$	$e\left(\frac{26}{147}\right)$
$\chi_{33957}(46,\cdot)$	33957.ij	1470	no	$-1$	$1$	$e\left(\frac{487}{1470}\right)$	$e\left(\frac{487}{735}\right)$	$e\left(\frac{524}{735}\right)$	$e\left(\frac{487}{490}\right)$	$e\left(\frac{13}{294}\right)$	$e\left(\frac{69}{490}\right)$	$e\left(\frac{239}{735}\right)$	$e\left(\frac{503}{1470}\right)$	$e\left(\frac{19}{30}\right)$	$e\left(\frac{92}{245}\right)$
$\chi_{33957}(47,\cdot)$	33957.ip	1470	yes	$1$	$1$	$e\left(\frac{1231}{1470}\right)$	$e\left(\frac{496}{735}\right)$	$e\left(\frac{59}{245}\right)$	$e\left(\frac{251}{490}\right)$	$e\left(\frac{23}{294}\right)$	$e\left(\frac{811}{1470}\right)$	$e\left(\frac{257}{735}\right)$	$e\left(\frac{722}{735}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{673}{735}\right)$
$\chi_{33957}(50,\cdot)$	33957.fz	210	no	$1$	$1$	$e\left(\frac{2}{105}\right)$	$e\left(\frac{4}{105}\right)$	$e\left(\frac{131}{210}\right)$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{179}{210}\right)$	$e\left(\frac{8}{105}\right)$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{139}{210}\right)$
$\chi_{33957}(52,\cdot)$	33957.iu	1470	yes	$1$	$1$	$e\left(\frac{27}{490}\right)$	$e\left(\frac{27}{245}\right)$	$e\left(\frac{1349}{1470}\right)$	$e\left(\frac{81}{490}\right)$	$e\left(\frac{143}{147}\right)$	$e\left(\frac{23}{735}\right)$	$e\left(\frac{54}{245}\right)$	$e\left(\frac{682}{735}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{41}{1470}\right)$
$\chi_{33957}(53,\cdot)$	33957.iv	1470	no	$-1$	$1$	$e\left(\frac{1027}{1470}\right)$	$e\left(\frac{292}{735}\right)$	$e\left(\frac{1303}{1470}\right)$	$e\left(\frac{47}{490}\right)$	$e\left(\frac{86}{147}\right)$	$e\left(\frac{72}{245}\right)$	$e\left(\frac{584}{735}\right)$	$e\left(\frac{1103}{1470}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{139}{490}\right)$
$\chi_{33957}(58,\cdot)$	33957.id	735	yes	$1$	$1$	$e\left(\frac{146}{245}\right)$	$e\left(\frac{47}{245}\right)$	$e\left(\frac{362}{735}\right)$	$e\left(\frac{193}{245}\right)$	$e\left(\frac{13}{147}\right)$	$e\left(\frac{403}{735}\right)$	$e\left(\frac{94}{245}\right)$	$e\left(\frac{62}{735}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{503}{735}\right)$
$\chi_{33957}(59,\cdot)$	33957.ip	1470	yes	$1$	$1$	$e\left(\frac{899}{1470}\right)$	$e\left(\frac{164}{735}\right)$	$e\left(\frac{61}{245}\right)$	$e\left(\frac{409}{490}\right)$	$e\left(\frac{253}{294}\right)$	$e\left(\frac{689}{1470}\right)$	$e\left(\frac{328}{735}\right)$	$e\left(\frac{298}{735}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{347}{735}\right)$
$\chi_{33957}(61,\cdot)$	33957.iz	1470	yes	$1$	$1$	$e\left(\frac{163}{1470}\right)$	$e\left(\frac{163}{735}\right)$	$e\left(\frac{429}{490}\right)$	$e\left(\frac{163}{490}\right)$	$e\left(\frac{145}{147}\right)$	$e\left(\frac{134}{735}\right)$	$e\left(\frac{326}{735}\right)$	$e\left(\frac{341}{735}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{143}{1470}\right)$
$\chi_{33957}(62,\cdot)$	33957.hu	490	no	$-1$	$1$	$e\left(\frac{239}{245}\right)$	$e\left(\frac{233}{245}\right)$	$e\left(\frac{136}{245}\right)$	$e\left(\frac{227}{245}\right)$	$e\left(\frac{26}{49}\right)$	$e\left(\frac{169}{245}\right)$	$e\left(\frac{221}{245}\right)$	$e\left(\frac{297}{490}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{124}{245}\right)$

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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 $\F_{q}$
Belyi maps

Modulus	$33957$
Structure	\(C_{2}\times C_{6}\times C_{1470}\)
Order	$17640$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\(\chi_{33957}(1,\cdot)\)	33957.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{33957}(2,\cdot)\)	33957.ik	1470	yes	\(1\)	\(1\)	\(e\left(\frac{206}{735}\right)\)	\(e\left(\frac{412}{735}\right)\)	\(e\left(\frac{181}{490}\right)\)	\(e\left(\frac{206}{245}\right)\)	\(e\left(\frac{191}{294}\right)\)	\(e\left(\frac{727}{1470}\right)\)	\(e\left(\frac{89}{735}\right)\)	\(e\left(\frac{659}{735}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{1367}{1470}\right)\)
\(\chi_{33957}(4,\cdot)\)	33957.ib	735	yes	\(1\)	\(1\)	\(e\left(\frac{412}{735}\right)\)	\(e\left(\frac{89}{735}\right)\)	\(e\left(\frac{181}{245}\right)\)	\(e\left(\frac{167}{245}\right)\)	\(e\left(\frac{44}{147}\right)\)	\(e\left(\frac{727}{735}\right)\)	\(e\left(\frac{178}{735}\right)\)	\(e\left(\frac{583}{735}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{632}{735}\right)\)
\(\chi_{33957}(5,\cdot)\)	33957.ii	1470	yes	\(1\)	\(1\)	\(e\left(\frac{181}{490}\right)\)	\(e\left(\frac{181}{245}\right)\)	\(e\left(\frac{461}{735}\right)\)	\(e\left(\frac{53}{490}\right)\)	\(e\left(\frac{293}{294}\right)\)	\(e\left(\frac{263}{1470}\right)\)	\(e\left(\frac{117}{245}\right)\)	\(e\left(\frac{416}{735}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{269}{735}\right)\)
\(\chi_{33957}(8,\cdot)\)	33957.hz	490	no	\(1\)	\(1\)	\(e\left(\frac{206}{245}\right)\)	\(e\left(\frac{167}{245}\right)\)	\(e\left(\frac{53}{490}\right)\)	\(e\left(\frac{128}{245}\right)\)	\(e\left(\frac{93}{98}\right)\)	\(e\left(\frac{237}{490}\right)\)	\(e\left(\frac{89}{245}\right)\)	\(e\left(\frac{169}{245}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{387}{490}\right)\)
\(\chi_{33957}(10,\cdot)\)	33957.gz	294	no	\(1\)	\(1\)	\(e\left(\frac{191}{294}\right)\)	\(e\left(\frac{44}{147}\right)\)	\(e\left(\frac{293}{294}\right)\)	\(e\left(\frac{93}{98}\right)\)	\(e\left(\frac{95}{147}\right)\)	\(e\left(\frac{33}{49}\right)\)	\(e\left(\frac{88}{147}\right)\)	\(e\left(\frac{68}{147}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{29}{98}\right)\)
\(\chi_{33957}(13,\cdot)\)	33957.ig	1470	yes	\(1\)	\(1\)	\(e\left(\frac{727}{1470}\right)\)	\(e\left(\frac{727}{735}\right)\)	\(e\left(\frac{263}{1470}\right)\)	\(e\left(\frac{237}{490}\right)\)	\(e\left(\frac{33}{49}\right)\)	\(e\left(\frac{31}{735}\right)\)	\(e\left(\frac{719}{735}\right)\)	\(e\left(\frac{33}{245}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{247}{1470}\right)\)
\(\chi_{33957}(16,\cdot)\)	33957.ib	735	yes	\(1\)	\(1\)	\(e\left(\frac{89}{735}\right)\)	\(e\left(\frac{178}{735}\right)\)	\(e\left(\frac{117}{245}\right)\)	\(e\left(\frac{89}{245}\right)\)	\(e\left(\frac{88}{147}\right)\)	\(e\left(\frac{719}{735}\right)\)	\(e\left(\frac{356}{735}\right)\)	\(e\left(\frac{431}{735}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{529}{735}\right)\)
\(\chi_{33957}(17,\cdot)\)	33957.ja	1470	no	\(-1\)	\(1\)	\(e\left(\frac{659}{735}\right)\)	\(e\left(\frac{583}{735}\right)\)	\(e\left(\frac{416}{735}\right)\)	\(e\left(\frac{169}{245}\right)\)	\(e\left(\frac{68}{147}\right)\)	\(e\left(\frac{33}{245}\right)\)	\(e\left(\frac{431}{735}\right)\)	\(e\left(\frac{1067}{1470}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{88}{245}\right)\)
\(\chi_{33957}(19,\cdot)\)	33957.cs	30	no	\(1\)	\(1\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{33957}(20,\cdot)\)	33957.jf	1470	yes	\(1\)	\(1\)	\(e\left(\frac{1367}{1470}\right)\)	\(e\left(\frac{632}{735}\right)\)	\(e\left(\frac{269}{735}\right)\)	\(e\left(\frac{387}{490}\right)\)	\(e\left(\frac{29}{98}\right)\)	\(e\left(\frac{247}{1470}\right)\)	\(e\left(\frac{529}{735}\right)\)	\(e\left(\frac{88}{245}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{166}{735}\right)\)
\(\chi_{33957}(23,\cdot)\)	33957.gv	294	no	\(-1\)	\(1\)	\(e\left(\frac{5}{98}\right)\)	\(e\left(\frac{5}{49}\right)\)	\(e\left(\frac{101}{294}\right)\)	\(e\left(\frac{15}{98}\right)\)	\(e\left(\frac{58}{147}\right)\)	\(e\left(\frac{95}{147}\right)\)	\(e\left(\frac{10}{49}\right)\)	\(e\left(\frac{131}{294}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{131}{294}\right)\)
\(\chi_{33957}(25,\cdot)\)	33957.id	735	yes	\(1\)	\(1\)	\(e\left(\frac{181}{245}\right)\)	\(e\left(\frac{117}{245}\right)\)	\(e\left(\frac{187}{735}\right)\)	\(e\left(\frac{53}{245}\right)\)	\(e\left(\frac{146}{147}\right)\)	\(e\left(\frac{263}{735}\right)\)	\(e\left(\frac{234}{245}\right)\)	\(e\left(\frac{97}{735}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{538}{735}\right)\)
\(\chi_{33957}(26,\cdot)\)	33957.in	1470	no	\(1\)	\(1\)	\(e\left(\frac{1139}{1470}\right)\)	\(e\left(\frac{404}{735}\right)\)	\(e\left(\frac{403}{735}\right)\)	\(e\left(\frac{159}{490}\right)\)	\(e\left(\frac{95}{294}\right)\)	\(e\left(\frac{263}{490}\right)\)	\(e\left(\frac{73}{735}\right)\)	\(e\left(\frac{23}{735}\right)\)	\(e\left(\frac{23}{30}\right)\)	\(e\left(\frac{24}{245}\right)\)
\(\chi_{33957}(29,\cdot)\)	33957.jc	1470	yes	\(1\)	\(1\)	\(e\left(\frac{232}{735}\right)\)	\(e\left(\frac{464}{735}\right)\)	\(e\left(\frac{181}{1470}\right)\)	\(e\left(\frac{232}{245}\right)\)	\(e\left(\frac{43}{98}\right)\)	\(e\left(\frac{79}{1470}\right)\)	\(e\left(\frac{193}{735}\right)\)	\(e\left(\frac{46}{245}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{1109}{1470}\right)\)
\(\chi_{33957}(31,\cdot)\)	33957.ft	210	no	\(-1\)	\(1\)	\(e\left(\frac{73}{105}\right)\)	\(e\left(\frac{41}{105}\right)\)	\(e\left(\frac{13}{70}\right)\)	\(e\left(\frac{3}{35}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{41}{210}\right)\)	\(e\left(\frac{82}{105}\right)\)	\(e\left(\frac{149}{210}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{121}{210}\right)\)
\(\chi_{33957}(32,\cdot)\)	33957.hm	294	yes	\(1\)	\(1\)	\(e\left(\frac{59}{147}\right)\)	\(e\left(\frac{118}{147}\right)\)	\(e\left(\frac{83}{98}\right)\)	\(e\left(\frac{10}{49}\right)\)	\(e\left(\frac{73}{294}\right)\)	\(e\left(\frac{139}{294}\right)\)	\(e\left(\frac{89}{147}\right)\)	\(e\left(\frac{71}{147}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{191}{294}\right)\)
\(\chi_{33957}(34,\cdot)\)	33957.gs	294	no	\(-1\)	\(1\)	\(e\left(\frac{26}{147}\right)\)	\(e\left(\frac{52}{147}\right)\)	\(e\left(\frac{275}{294}\right)\)	\(e\left(\frac{26}{49}\right)\)	\(e\left(\frac{11}{98}\right)\)	\(e\left(\frac{185}{294}\right)\)	\(e\left(\frac{104}{147}\right)\)	\(e\left(\frac{61}{98}\right)\)	\(-1\)	\(e\left(\frac{85}{294}\right)\)
\(\chi_{33957}(37,\cdot)\)	33957.ic	735	no	\(1\)	\(1\)	\(e\left(\frac{22}{735}\right)\)	\(e\left(\frac{44}{735}\right)\)	\(e\left(\frac{73}{735}\right)\)	\(e\left(\frac{22}{245}\right)\)	\(e\left(\frac{19}{147}\right)\)	\(e\left(\frac{229}{245}\right)\)	\(e\left(\frac{88}{735}\right)\)	\(e\left(\frac{68}{735}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{39}{245}\right)\)
\(\chi_{33957}(38,\cdot)\)	33957.ii	1470	yes	\(1\)	\(1\)	\(e\left(\frac{121}{490}\right)\)	\(e\left(\frac{121}{245}\right)\)	\(e\left(\frac{541}{735}\right)\)	\(e\left(\frac{363}{490}\right)\)	\(e\left(\frac{289}{294}\right)\)	\(e\left(\frac{433}{1470}\right)\)	\(e\left(\frac{242}{245}\right)\)	\(e\left(\frac{316}{735}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{169}{735}\right)\)
\(\chi_{33957}(40,\cdot)\)	33957.iu	1470	yes	\(1\)	\(1\)	\(e\left(\frac{103}{490}\right)\)	\(e\left(\frac{103}{245}\right)\)	\(e\left(\frac{1081}{1470}\right)\)	\(e\left(\frac{309}{490}\right)\)	\(e\left(\frac{139}{147}\right)\)	\(e\left(\frac{487}{735}\right)\)	\(e\left(\frac{206}{245}\right)\)	\(e\left(\frac{188}{735}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{229}{1470}\right)\)
\(\chi_{33957}(41,\cdot)\)	33957.if	1470	yes	\(-1\)	\(1\)	\(e\left(\frac{653}{735}\right)\)	\(e\left(\frac{571}{735}\right)\)	\(e\left(\frac{307}{735}\right)\)	\(e\left(\frac{163}{245}\right)\)	\(e\left(\frac{15}{49}\right)\)	\(e\left(\frac{268}{735}\right)\)	\(e\left(\frac{407}{735}\right)\)	\(e\left(\frac{373}{490}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{143}{735}\right)\)
\(\chi_{33957}(43,\cdot)\)	33957.gt	294	yes	\(-1\)	\(1\)	\(e\left(\frac{37}{294}\right)\)	\(e\left(\frac{37}{147}\right)\)	\(e\left(\frac{136}{147}\right)\)	\(e\left(\frac{37}{98}\right)\)	\(e\left(\frac{5}{98}\right)\)	\(e\left(\frac{191}{294}\right)\)	\(e\left(\frac{74}{147}\right)\)	\(e\left(\frac{1}{98}\right)\)	\(-1\)	\(e\left(\frac{26}{147}\right)\)
\(\chi_{33957}(46,\cdot)\)	33957.ij	1470	no	\(-1\)	\(1\)	\(e\left(\frac{487}{1470}\right)\)	\(e\left(\frac{487}{735}\right)\)	\(e\left(\frac{524}{735}\right)\)	\(e\left(\frac{487}{490}\right)\)	\(e\left(\frac{13}{294}\right)\)	\(e\left(\frac{69}{490}\right)\)	\(e\left(\frac{239}{735}\right)\)	\(e\left(\frac{503}{1470}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{92}{245}\right)\)
\(\chi_{33957}(47,\cdot)\)	33957.ip	1470	yes	\(1\)	\(1\)	\(e\left(\frac{1231}{1470}\right)\)	\(e\left(\frac{496}{735}\right)\)	\(e\left(\frac{59}{245}\right)\)	\(e\left(\frac{251}{490}\right)\)	\(e\left(\frac{23}{294}\right)\)	\(e\left(\frac{811}{1470}\right)\)	\(e\left(\frac{257}{735}\right)\)	\(e\left(\frac{722}{735}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{673}{735}\right)\)
\(\chi_{33957}(50,\cdot)\)	33957.fz	210	no	\(1\)	\(1\)	\(e\left(\frac{2}{105}\right)\)	\(e\left(\frac{4}{105}\right)\)	\(e\left(\frac{131}{210}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{179}{210}\right)\)	\(e\left(\frac{8}{105}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{139}{210}\right)\)
\(\chi_{33957}(52,\cdot)\)	33957.iu	1470	yes	\(1\)	\(1\)	\(e\left(\frac{27}{490}\right)\)	\(e\left(\frac{27}{245}\right)\)	\(e\left(\frac{1349}{1470}\right)\)	\(e\left(\frac{81}{490}\right)\)	\(e\left(\frac{143}{147}\right)\)	\(e\left(\frac{23}{735}\right)\)	\(e\left(\frac{54}{245}\right)\)	\(e\left(\frac{682}{735}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{41}{1470}\right)\)
\(\chi_{33957}(53,\cdot)\)	33957.iv	1470	no	\(-1\)	\(1\)	\(e\left(\frac{1027}{1470}\right)\)	\(e\left(\frac{292}{735}\right)\)	\(e\left(\frac{1303}{1470}\right)\)	\(e\left(\frac{47}{490}\right)\)	\(e\left(\frac{86}{147}\right)\)	\(e\left(\frac{72}{245}\right)\)	\(e\left(\frac{584}{735}\right)\)	\(e\left(\frac{1103}{1470}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{139}{490}\right)\)
\(\chi_{33957}(58,\cdot)\)	33957.id	735	yes	\(1\)	\(1\)	\(e\left(\frac{146}{245}\right)\)	\(e\left(\frac{47}{245}\right)\)	\(e\left(\frac{362}{735}\right)\)	\(e\left(\frac{193}{245}\right)\)	\(e\left(\frac{13}{147}\right)\)	\(e\left(\frac{403}{735}\right)\)	\(e\left(\frac{94}{245}\right)\)	\(e\left(\frac{62}{735}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{503}{735}\right)\)
\(\chi_{33957}(59,\cdot)\)	33957.ip	1470	yes	\(1\)	\(1\)	\(e\left(\frac{899}{1470}\right)\)	\(e\left(\frac{164}{735}\right)\)	\(e\left(\frac{61}{245}\right)\)	\(e\left(\frac{409}{490}\right)\)	\(e\left(\frac{253}{294}\right)\)	\(e\left(\frac{689}{1470}\right)\)	\(e\left(\frac{328}{735}\right)\)	\(e\left(\frac{298}{735}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{347}{735}\right)\)
\(\chi_{33957}(61,\cdot)\)	33957.iz	1470	yes	\(1\)	\(1\)	\(e\left(\frac{163}{1470}\right)\)	\(e\left(\frac{163}{735}\right)\)	\(e\left(\frac{429}{490}\right)\)	\(e\left(\frac{163}{490}\right)\)	\(e\left(\frac{145}{147}\right)\)	\(e\left(\frac{134}{735}\right)\)	\(e\left(\frac{326}{735}\right)\)	\(e\left(\frac{341}{735}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{143}{1470}\right)\)
\(\chi_{33957}(62,\cdot)\)	33957.hu	490	no	\(-1\)	\(1\)	\(e\left(\frac{239}{245}\right)\)	\(e\left(\frac{233}{245}\right)\)	\(e\left(\frac{136}{245}\right)\)	\(e\left(\frac{227}{245}\right)\)	\(e\left(\frac{26}{49}\right)\)	\(e\left(\frac{169}{245}\right)\)	\(e\left(\frac{221}{245}\right)\)	\(e\left(\frac{297}{490}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{124}{245}\right)\)

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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.