LMFDB - Group of Dirichlet characters of modulus 6016

Show commands: PariGP / SageMath

sage: H = DirichletGroup(6016)

pari: g = idealstar(,6016,2)

Character group

sage: G.order() pari: g.no
Order	=	2944
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{736}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{6016}(4607,\cdot)$, $\chi_{6016}(2821,\cdot)$, $\chi_{6016}(3201,\cdot)$

First 32 of 2944 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	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$19$	$21$
$\chi_{6016}(1,\cdot)$	6016.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{6016}(3,\cdot)$	6016.bt	736	yes	$-1$	$1$	$e\left(\frac{351}{736}\right)$	$e\left(\frac{389}{736}\right)$	$e\left(\frac{129}{368}\right)$	$e\left(\frac{351}{368}\right)$	$e\left(\frac{377}{736}\right)$	$e\left(\frac{139}{736}\right)$	$e\left(\frac{1}{184}\right)$	$e\left(\frac{107}{184}\right)$	$e\left(\frac{163}{736}\right)$	$e\left(\frac{609}{736}\right)$
$\chi_{6016}(5,\cdot)$	6016.bv	736	yes	$-1$	$1$	$e\left(\frac{389}{736}\right)$	$e\left(\frac{39}{736}\right)$	$e\left(\frac{3}{368}\right)$	$e\left(\frac{21}{368}\right)$	$e\left(\frac{595}{736}\right)$	$e\left(\frac{521}{736}\right)$	$e\left(\frac{107}{184}\right)$	$e\left(\frac{41}{184}\right)$	$e\left(\frac{513}{736}\right)$	$e\left(\frac{395}{736}\right)$
$\chi_{6016}(7,\cdot)$	6016.bp	368	no	$-1$	$1$	$e\left(\frac{129}{368}\right)$	$e\left(\frac{3}{368}\right)$	$e\left(\frac{163}{184}\right)$	$e\left(\frac{129}{184}\right)$	$e\left(\frac{343}{368}\right)$	$e\left(\frac{125}{368}\right)$	$e\left(\frac{33}{92}\right)$	$e\left(\frac{81}{92}\right)$	$e\left(\frac{365}{368}\right)$	$e\left(\frac{87}{368}\right)$
$\chi_{6016}(9,\cdot)$	6016.br	368	no	$1$	$1$	$e\left(\frac{351}{368}\right)$	$e\left(\frac{21}{368}\right)$	$e\left(\frac{129}{184}\right)$	$e\left(\frac{167}{184}\right)$	$e\left(\frac{9}{368}\right)$	$e\left(\frac{139}{368}\right)$	$e\left(\frac{1}{92}\right)$	$e\left(\frac{15}{92}\right)$	$e\left(\frac{163}{368}\right)$	$e\left(\frac{241}{368}\right)$
$\chi_{6016}(11,\cdot)$	6016.bs	736	yes	$1$	$1$	$e\left(\frac{377}{736}\right)$	$e\left(\frac{595}{736}\right)$	$e\left(\frac{343}{368}\right)$	$e\left(\frac{9}{368}\right)$	$e\left(\frac{255}{736}\right)$	$e\left(\frac{381}{736}\right)$	$e\left(\frac{59}{184}\right)$	$e\left(\frac{149}{184}\right)$	$e\left(\frac{325}{736}\right)$	$e\left(\frac{327}{736}\right)$
$\chi_{6016}(13,\cdot)$	6016.bv	736	yes	$-1$	$1$	$e\left(\frac{139}{736}\right)$	$e\left(\frac{521}{736}\right)$	$e\left(\frac{125}{368}\right)$	$e\left(\frac{139}{368}\right)$	$e\left(\frac{381}{736}\right)$	$e\left(\frac{487}{736}\right)$	$e\left(\frac{165}{184}\right)$	$e\left(\frac{175}{184}\right)$	$e\left(\frac{399}{736}\right)$	$e\left(\frac{389}{736}\right)$
$\chi_{6016}(15,\cdot)$	6016.bn	184	no	$1$	$1$	$e\left(\frac{1}{184}\right)$	$e\left(\frac{107}{184}\right)$	$e\left(\frac{33}{92}\right)$	$e\left(\frac{1}{92}\right)$	$e\left(\frac{59}{184}\right)$	$e\left(\frac{165}{184}\right)$	$e\left(\frac{27}{46}\right)$	$e\left(\frac{37}{46}\right)$	$e\left(\frac{169}{184}\right)$	$e\left(\frac{67}{184}\right)$
$\chi_{6016}(17,\cdot)$	6016.bm	184	no	$1$	$1$	$e\left(\frac{107}{184}\right)$	$e\left(\frac{41}{184}\right)$	$e\left(\frac{81}{92}\right)$	$e\left(\frac{15}{92}\right)$	$e\left(\frac{149}{184}\right)$	$e\left(\frac{175}{184}\right)$	$e\left(\frac{37}{46}\right)$	$e\left(\frac{3}{46}\right)$	$e\left(\frac{143}{184}\right)$	$e\left(\frac{85}{184}\right)$
$\chi_{6016}(19,\cdot)$	6016.bs	736	yes	$1$	$1$	$e\left(\frac{163}{736}\right)$	$e\left(\frac{513}{736}\right)$	$e\left(\frac{365}{368}\right)$	$e\left(\frac{163}{368}\right)$	$e\left(\frac{325}{736}\right)$	$e\left(\frac{399}{736}\right)$	$e\left(\frac{169}{184}\right)$	$e\left(\frac{143}{184}\right)$	$e\left(\frac{39}{736}\right)$	$e\left(\frac{157}{736}\right)$
$\chi_{6016}(21,\cdot)$	6016.bu	736	yes	$1$	$1$	$e\left(\frac{609}{736}\right)$	$e\left(\frac{395}{736}\right)$	$e\left(\frac{87}{368}\right)$	$e\left(\frac{241}{368}\right)$	$e\left(\frac{327}{736}\right)$	$e\left(\frac{389}{736}\right)$	$e\left(\frac{67}{184}\right)$	$e\left(\frac{85}{184}\right)$	$e\left(\frac{157}{736}\right)$	$e\left(\frac{47}{736}\right)$
$\chi_{6016}(23,\cdot)$	6016.bq	368	no	$1$	$1$	$e\left(\frac{363}{368}\right)$	$e\left(\frac{201}{368}\right)$	$e\left(\frac{65}{184}\right)$	$e\left(\frac{179}{184}\right)$	$e\left(\frac{165}{368}\right)$	$e\left(\frac{279}{368}\right)$	$e\left(\frac{49}{92}\right)$	$e\left(\frac{91}{92}\right)$	$e\left(\frac{167}{368}\right)$	$e\left(\frac{125}{368}\right)$
$\chi_{6016}(25,\cdot)$	6016.br	368	no	$1$	$1$	$e\left(\frac{21}{368}\right)$	$e\left(\frac{39}{368}\right)$	$e\left(\frac{3}{184}\right)$	$e\left(\frac{21}{184}\right)$	$e\left(\frac{227}{368}\right)$	$e\left(\frac{153}{368}\right)$	$e\left(\frac{15}{92}\right)$	$e\left(\frac{41}{92}\right)$	$e\left(\frac{145}{368}\right)$	$e\left(\frac{27}{368}\right)$
$\chi_{6016}(27,\cdot)$	6016.bt	736	yes	$-1$	$1$	$e\left(\frac{317}{736}\right)$	$e\left(\frac{431}{736}\right)$	$e\left(\frac{19}{368}\right)$	$e\left(\frac{317}{368}\right)$	$e\left(\frac{395}{736}\right)$	$e\left(\frac{417}{736}\right)$	$e\left(\frac{3}{184}\right)$	$e\left(\frac{137}{184}\right)$	$e\left(\frac{489}{736}\right)$	$e\left(\frac{355}{736}\right)$
$\chi_{6016}(29,\cdot)$	6016.bv	736	yes	$-1$	$1$	$e\left(\frac{551}{736}\right)$	$e\left(\frac{445}{736}\right)$	$e\left(\frac{289}{368}\right)$	$e\left(\frac{183}{368}\right)$	$e\left(\frac{33}{736}\right)$	$e\left(\frac{19}{736}\right)$	$e\left(\frac{65}{184}\right)$	$e\left(\frac{147}{184}\right)$	$e\left(\frac{475}{736}\right)$	$e\left(\frac{393}{736}\right)$
$\chi_{6016}(31,\cdot)$	6016.bg	92	no	$1$	$1$	$e\left(\frac{51}{92}\right)$	$e\left(\frac{29}{92}\right)$	$e\left(\frac{2}{23}\right)$	$e\left(\frac{5}{46}\right)$	$e\left(\frac{19}{92}\right)$	$e\left(\frac{43}{92}\right)$	$e\left(\frac{20}{23}\right)$	$e\left(\frac{1}{23}\right)$	$e\left(\frac{17}{92}\right)$	$e\left(\frac{59}{92}\right)$
$\chi_{6016}(33,\cdot)$	6016.bj	92	no	$-1$	$1$	$e\left(\frac{91}{92}\right)$	$e\left(\frac{31}{92}\right)$	$e\left(\frac{13}{46}\right)$	$e\left(\frac{45}{46}\right)$	$e\left(\frac{79}{92}\right)$	$e\left(\frac{65}{92}\right)$	$e\left(\frac{15}{46}\right)$	$e\left(\frac{9}{23}\right)$	$e\left(\frac{61}{92}\right)$	$e\left(\frac{25}{92}\right)$
$\chi_{6016}(35,\cdot)$	6016.bs	736	yes	$1$	$1$	$e\left(\frac{647}{736}\right)$	$e\left(\frac{45}{736}\right)$	$e\left(\frac{329}{368}\right)$	$e\left(\frac{279}{368}\right)$	$e\left(\frac{545}{736}\right)$	$e\left(\frac{35}{736}\right)$	$e\left(\frac{173}{184}\right)$	$e\left(\frac{19}{184}\right)$	$e\left(\frac{507}{736}\right)$	$e\left(\frac{569}{736}\right)$
$\chi_{6016}(37,\cdot)$	6016.bu	736	yes	$1$	$1$	$e\left(\frac{445}{736}\right)$	$e\left(\frac{511}{736}\right)$	$e\left(\frac{11}{368}\right)$	$e\left(\frac{77}{368}\right)$	$e\left(\frac{587}{736}\right)$	$e\left(\frac{561}{736}\right)$	$e\left(\frac{55}{184}\right)$	$e\left(\frac{89}{184}\right)$	$e\left(\frac{41}{736}\right)$	$e\left(\frac{467}{736}\right)$
$\chi_{6016}(39,\cdot)$	6016.bq	368	no	$1$	$1$	$e\left(\frac{245}{368}\right)$	$e\left(\frac{87}{368}\right)$	$e\left(\frac{127}{184}\right)$	$e\left(\frac{61}{184}\right)$	$e\left(\frac{11}{368}\right)$	$e\left(\frac{313}{368}\right)$	$e\left(\frac{83}{92}\right)$	$e\left(\frac{49}{92}\right)$	$e\left(\frac{281}{368}\right)$	$e\left(\frac{131}{368}\right)$
$\chi_{6016}(41,\cdot)$	6016.bo	368	no	$-1$	$1$	$e\left(\frac{123}{368}\right)$	$e\left(\frac{97}{368}\right)$	$e\left(\frac{149}{184}\right)$	$e\left(\frac{123}{184}\right)$	$e\left(\frac{357}{368}\right)$	$e\left(\frac{239}{368}\right)$	$e\left(\frac{55}{92}\right)$	$e\left(\frac{43}{92}\right)$	$e\left(\frac{87}{368}\right)$	$e\left(\frac{53}{368}\right)$
$\chi_{6016}(43,\cdot)$	6016.bs	736	yes	$1$	$1$	$e\left(\frac{641}{736}\right)$	$e\left(\frac{139}{736}\right)$	$e\left(\frac{223}{368}\right)$	$e\left(\frac{273}{368}\right)$	$e\left(\frac{375}{736}\right)$	$e\left(\frac{517}{736}\right)$	$e\left(\frac{11}{184}\right)$	$e\left(\frac{165}{184}\right)$	$e\left(\frac{45}{736}\right)$	$e\left(\frac{351}{736}\right)$
$\chi_{6016}(45,\cdot)$	6016.bv	736	yes	$-1$	$1$	$e\left(\frac{355}{736}\right)$	$e\left(\frac{81}{736}\right)$	$e\left(\frac{261}{368}\right)$	$e\left(\frac{355}{368}\right)$	$e\left(\frac{613}{736}\right)$	$e\left(\frac{63}{736}\right)$	$e\left(\frac{109}{184}\right)$	$e\left(\frac{71}{184}\right)$	$e\left(\frac{103}{736}\right)$	$e\left(\frac{141}{736}\right)$
$\chi_{6016}(49,\cdot)$	6016.bm	184	no	$1$	$1$	$e\left(\frac{129}{184}\right)$	$e\left(\frac{3}{184}\right)$	$e\left(\frac{71}{92}\right)$	$e\left(\frac{37}{92}\right)$	$e\left(\frac{159}{184}\right)$	$e\left(\frac{125}{184}\right)$	$e\left(\frac{33}{46}\right)$	$e\left(\frac{35}{46}\right)$	$e\left(\frac{181}{184}\right)$	$e\left(\frac{87}{184}\right)$
$\chi_{6016}(51,\cdot)$	6016.bt	736	yes	$-1$	$1$	$e\left(\frac{43}{736}\right)$	$e\left(\frac{553}{736}\right)$	$e\left(\frac{85}{368}\right)$	$e\left(\frac{43}{368}\right)$	$e\left(\frac{237}{736}\right)$	$e\left(\frac{103}{736}\right)$	$e\left(\frac{149}{184}\right)$	$e\left(\frac{119}{184}\right)$	$e\left(\frac{735}{736}\right)$	$e\left(\frac{213}{736}\right)$
$\chi_{6016}(53,\cdot)$	6016.bu	736	yes	$1$	$1$	$e\left(\frac{729}{736}\right)$	$e\left(\frac{723}{736}\right)$	$e\left(\frac{367}{368}\right)$	$e\left(\frac{361}{368}\right)$	$e\left(\frac{47}{736}\right)$	$e\left(\frac{317}{736}\right)$	$e\left(\frac{179}{184}\right)$	$e\left(\frac{109}{184}\right)$	$e\left(\frac{565}{736}\right)$	$e\left(\frac{727}{736}\right)$
$\chi_{6016}(55,\cdot)$	6016.bp	368	no	$-1$	$1$	$e\left(\frac{15}{368}\right)$	$e\left(\frac{317}{368}\right)$	$e\left(\frac{173}{184}\right)$	$e\left(\frac{15}{184}\right)$	$e\left(\frac{57}{368}\right)$	$e\left(\frac{83}{368}\right)$	$e\left(\frac{83}{92}\right)$	$e\left(\frac{3}{92}\right)$	$e\left(\frac{51}{368}\right)$	$e\left(\frac{361}{368}\right)$
$\chi_{6016}(57,\cdot)$	6016.bo	368	no	$-1$	$1$	$e\left(\frac{257}{368}\right)$	$e\left(\frac{83}{368}\right)$	$e\left(\frac{63}{184}\right)$	$e\left(\frac{73}{184}\right)$	$e\left(\frac{351}{368}\right)$	$e\left(\frac{269}{368}\right)$	$e\left(\frac{85}{92}\right)$	$e\left(\frac{33}{92}\right)$	$e\left(\frac{101}{368}\right)$	$e\left(\frac{15}{368}\right)$
$\chi_{6016}(59,\cdot)$	6016.bt	736	yes	$-1$	$1$	$e\left(\frac{325}{736}\right)$	$e\left(\frac{551}{736}\right)$	$e\left(\frac{283}{368}\right)$	$e\left(\frac{325}{368}\right)$	$e\left(\frac{131}{736}\right)$	$e\left(\frac{265}{736}\right)$	$e\left(\frac{35}{184}\right)$	$e\left(\frac{65}{184}\right)$	$e\left(\frac{369}{736}\right)$	$e\left(\frac{155}{736}\right)$
$\chi_{6016}(61,\cdot)$	6016.bu	736	yes	$1$	$1$	$e\left(\frac{383}{736}\right)$	$e\left(\frac{501}{736}\right)$	$e\left(\frac{265}{368}\right)$	$e\left(\frac{15}{368}\right)$	$e\left(\frac{57}{736}\right)$	$e\left(\frac{635}{736}\right)$	$e\left(\frac{37}{184}\right)$	$e\left(\frac{3}{184}\right)$	$e\left(\frac{419}{736}\right)$	$e\left(\frac{177}{736}\right)$
$\chi_{6016}(63,\cdot)$	6016.bb	46	no	$-1$	$1$	$e\left(\frac{7}{23}\right)$	$e\left(\frac{3}{46}\right)$	$e\left(\frac{27}{46}\right)$	$e\left(\frac{14}{23}\right)$	$e\left(\frac{22}{23}\right)$	$e\left(\frac{33}{46}\right)$	$e\left(\frac{17}{46}\right)$	$e\left(\frac{1}{23}\right)$	$e\left(\frac{10}{23}\right)$	$e\left(\frac{41}{46}\right)$
$\chi_{6016}(65,\cdot)$	6016.be	46	no	$1$	$1$	$e\left(\frac{33}{46}\right)$	$e\left(\frac{35}{46}\right)$	$e\left(\frac{8}{23}\right)$	$e\left(\frac{10}{23}\right)$	$e\left(\frac{15}{46}\right)$	$e\left(\frac{17}{46}\right)$	$e\left(\frac{11}{23}\right)$	$e\left(\frac{4}{23}\right)$	$e\left(\frac{11}{46}\right)$	$e\left(\frac{3}{46}\right)$

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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	$6016$
Structure	\(C_{2}\times C_{2}\times C_{736}\)
Order	$2944$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)
\(\chi_{6016}(1,\cdot)\)	6016.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{6016}(3,\cdot)\)	6016.bt	736	yes	\(-1\)	\(1\)	\(e\left(\frac{351}{736}\right)\)	\(e\left(\frac{389}{736}\right)\)	\(e\left(\frac{129}{368}\right)\)	\(e\left(\frac{351}{368}\right)\)	\(e\left(\frac{377}{736}\right)\)	\(e\left(\frac{139}{736}\right)\)	\(e\left(\frac{1}{184}\right)\)	\(e\left(\frac{107}{184}\right)\)	\(e\left(\frac{163}{736}\right)\)	\(e\left(\frac{609}{736}\right)\)
\(\chi_{6016}(5,\cdot)\)	6016.bv	736	yes	\(-1\)	\(1\)	\(e\left(\frac{389}{736}\right)\)	\(e\left(\frac{39}{736}\right)\)	\(e\left(\frac{3}{368}\right)\)	\(e\left(\frac{21}{368}\right)\)	\(e\left(\frac{595}{736}\right)\)	\(e\left(\frac{521}{736}\right)\)	\(e\left(\frac{107}{184}\right)\)	\(e\left(\frac{41}{184}\right)\)	\(e\left(\frac{513}{736}\right)\)	\(e\left(\frac{395}{736}\right)\)
\(\chi_{6016}(7,\cdot)\)	6016.bp	368	no	\(-1\)	\(1\)	\(e\left(\frac{129}{368}\right)\)	\(e\left(\frac{3}{368}\right)\)	\(e\left(\frac{163}{184}\right)\)	\(e\left(\frac{129}{184}\right)\)	\(e\left(\frac{343}{368}\right)\)	\(e\left(\frac{125}{368}\right)\)	\(e\left(\frac{33}{92}\right)\)	\(e\left(\frac{81}{92}\right)\)	\(e\left(\frac{365}{368}\right)\)	\(e\left(\frac{87}{368}\right)\)
\(\chi_{6016}(9,\cdot)\)	6016.br	368	no	\(1\)	\(1\)	\(e\left(\frac{351}{368}\right)\)	\(e\left(\frac{21}{368}\right)\)	\(e\left(\frac{129}{184}\right)\)	\(e\left(\frac{167}{184}\right)\)	\(e\left(\frac{9}{368}\right)\)	\(e\left(\frac{139}{368}\right)\)	\(e\left(\frac{1}{92}\right)\)	\(e\left(\frac{15}{92}\right)\)	\(e\left(\frac{163}{368}\right)\)	\(e\left(\frac{241}{368}\right)\)
\(\chi_{6016}(11,\cdot)\)	6016.bs	736	yes	\(1\)	\(1\)	\(e\left(\frac{377}{736}\right)\)	\(e\left(\frac{595}{736}\right)\)	\(e\left(\frac{343}{368}\right)\)	\(e\left(\frac{9}{368}\right)\)	\(e\left(\frac{255}{736}\right)\)	\(e\left(\frac{381}{736}\right)\)	\(e\left(\frac{59}{184}\right)\)	\(e\left(\frac{149}{184}\right)\)	\(e\left(\frac{325}{736}\right)\)	\(e\left(\frac{327}{736}\right)\)
\(\chi_{6016}(13,\cdot)\)	6016.bv	736	yes	\(-1\)	\(1\)	\(e\left(\frac{139}{736}\right)\)	\(e\left(\frac{521}{736}\right)\)	\(e\left(\frac{125}{368}\right)\)	\(e\left(\frac{139}{368}\right)\)	\(e\left(\frac{381}{736}\right)\)	\(e\left(\frac{487}{736}\right)\)	\(e\left(\frac{165}{184}\right)\)	\(e\left(\frac{175}{184}\right)\)	\(e\left(\frac{399}{736}\right)\)	\(e\left(\frac{389}{736}\right)\)
\(\chi_{6016}(15,\cdot)\)	6016.bn	184	no	\(1\)	\(1\)	\(e\left(\frac{1}{184}\right)\)	\(e\left(\frac{107}{184}\right)\)	\(e\left(\frac{33}{92}\right)\)	\(e\left(\frac{1}{92}\right)\)	\(e\left(\frac{59}{184}\right)\)	\(e\left(\frac{165}{184}\right)\)	\(e\left(\frac{27}{46}\right)\)	\(e\left(\frac{37}{46}\right)\)	\(e\left(\frac{169}{184}\right)\)	\(e\left(\frac{67}{184}\right)\)
\(\chi_{6016}(17,\cdot)\)	6016.bm	184	no	\(1\)	\(1\)	\(e\left(\frac{107}{184}\right)\)	\(e\left(\frac{41}{184}\right)\)	\(e\left(\frac{81}{92}\right)\)	\(e\left(\frac{15}{92}\right)\)	\(e\left(\frac{149}{184}\right)\)	\(e\left(\frac{175}{184}\right)\)	\(e\left(\frac{37}{46}\right)\)	\(e\left(\frac{3}{46}\right)\)	\(e\left(\frac{143}{184}\right)\)	\(e\left(\frac{85}{184}\right)\)
\(\chi_{6016}(19,\cdot)\)	6016.bs	736	yes	\(1\)	\(1\)	\(e\left(\frac{163}{736}\right)\)	\(e\left(\frac{513}{736}\right)\)	\(e\left(\frac{365}{368}\right)\)	\(e\left(\frac{163}{368}\right)\)	\(e\left(\frac{325}{736}\right)\)	\(e\left(\frac{399}{736}\right)\)	\(e\left(\frac{169}{184}\right)\)	\(e\left(\frac{143}{184}\right)\)	\(e\left(\frac{39}{736}\right)\)	\(e\left(\frac{157}{736}\right)\)
\(\chi_{6016}(21,\cdot)\)	6016.bu	736	yes	\(1\)	\(1\)	\(e\left(\frac{609}{736}\right)\)	\(e\left(\frac{395}{736}\right)\)	\(e\left(\frac{87}{368}\right)\)	\(e\left(\frac{241}{368}\right)\)	\(e\left(\frac{327}{736}\right)\)	\(e\left(\frac{389}{736}\right)\)	\(e\left(\frac{67}{184}\right)\)	\(e\left(\frac{85}{184}\right)\)	\(e\left(\frac{157}{736}\right)\)	\(e\left(\frac{47}{736}\right)\)
\(\chi_{6016}(23,\cdot)\)	6016.bq	368	no	\(1\)	\(1\)	\(e\left(\frac{363}{368}\right)\)	\(e\left(\frac{201}{368}\right)\)	\(e\left(\frac{65}{184}\right)\)	\(e\left(\frac{179}{184}\right)\)	\(e\left(\frac{165}{368}\right)\)	\(e\left(\frac{279}{368}\right)\)	\(e\left(\frac{49}{92}\right)\)	\(e\left(\frac{91}{92}\right)\)	\(e\left(\frac{167}{368}\right)\)	\(e\left(\frac{125}{368}\right)\)
\(\chi_{6016}(25,\cdot)\)	6016.br	368	no	\(1\)	\(1\)	\(e\left(\frac{21}{368}\right)\)	\(e\left(\frac{39}{368}\right)\)	\(e\left(\frac{3}{184}\right)\)	\(e\left(\frac{21}{184}\right)\)	\(e\left(\frac{227}{368}\right)\)	\(e\left(\frac{153}{368}\right)\)	\(e\left(\frac{15}{92}\right)\)	\(e\left(\frac{41}{92}\right)\)	\(e\left(\frac{145}{368}\right)\)	\(e\left(\frac{27}{368}\right)\)
\(\chi_{6016}(27,\cdot)\)	6016.bt	736	yes	\(-1\)	\(1\)	\(e\left(\frac{317}{736}\right)\)	\(e\left(\frac{431}{736}\right)\)	\(e\left(\frac{19}{368}\right)\)	\(e\left(\frac{317}{368}\right)\)	\(e\left(\frac{395}{736}\right)\)	\(e\left(\frac{417}{736}\right)\)	\(e\left(\frac{3}{184}\right)\)	\(e\left(\frac{137}{184}\right)\)	\(e\left(\frac{489}{736}\right)\)	\(e\left(\frac{355}{736}\right)\)
\(\chi_{6016}(29,\cdot)\)	6016.bv	736	yes	\(-1\)	\(1\)	\(e\left(\frac{551}{736}\right)\)	\(e\left(\frac{445}{736}\right)\)	\(e\left(\frac{289}{368}\right)\)	\(e\left(\frac{183}{368}\right)\)	\(e\left(\frac{33}{736}\right)\)	\(e\left(\frac{19}{736}\right)\)	\(e\left(\frac{65}{184}\right)\)	\(e\left(\frac{147}{184}\right)\)	\(e\left(\frac{475}{736}\right)\)	\(e\left(\frac{393}{736}\right)\)
\(\chi_{6016}(31,\cdot)\)	6016.bg	92	no	\(1\)	\(1\)	\(e\left(\frac{51}{92}\right)\)	\(e\left(\frac{29}{92}\right)\)	\(e\left(\frac{2}{23}\right)\)	\(e\left(\frac{5}{46}\right)\)	\(e\left(\frac{19}{92}\right)\)	\(e\left(\frac{43}{92}\right)\)	\(e\left(\frac{20}{23}\right)\)	\(e\left(\frac{1}{23}\right)\)	\(e\left(\frac{17}{92}\right)\)	\(e\left(\frac{59}{92}\right)\)
\(\chi_{6016}(33,\cdot)\)	6016.bj	92	no	\(-1\)	\(1\)	\(e\left(\frac{91}{92}\right)\)	\(e\left(\frac{31}{92}\right)\)	\(e\left(\frac{13}{46}\right)\)	\(e\left(\frac{45}{46}\right)\)	\(e\left(\frac{79}{92}\right)\)	\(e\left(\frac{65}{92}\right)\)	\(e\left(\frac{15}{46}\right)\)	\(e\left(\frac{9}{23}\right)\)	\(e\left(\frac{61}{92}\right)\)	\(e\left(\frac{25}{92}\right)\)
\(\chi_{6016}(35,\cdot)\)	6016.bs	736	yes	\(1\)	\(1\)	\(e\left(\frac{647}{736}\right)\)	\(e\left(\frac{45}{736}\right)\)	\(e\left(\frac{329}{368}\right)\)	\(e\left(\frac{279}{368}\right)\)	\(e\left(\frac{545}{736}\right)\)	\(e\left(\frac{35}{736}\right)\)	\(e\left(\frac{173}{184}\right)\)	\(e\left(\frac{19}{184}\right)\)	\(e\left(\frac{507}{736}\right)\)	\(e\left(\frac{569}{736}\right)\)
\(\chi_{6016}(37,\cdot)\)	6016.bu	736	yes	\(1\)	\(1\)	\(e\left(\frac{445}{736}\right)\)	\(e\left(\frac{511}{736}\right)\)	\(e\left(\frac{11}{368}\right)\)	\(e\left(\frac{77}{368}\right)\)	\(e\left(\frac{587}{736}\right)\)	\(e\left(\frac{561}{736}\right)\)	\(e\left(\frac{55}{184}\right)\)	\(e\left(\frac{89}{184}\right)\)	\(e\left(\frac{41}{736}\right)\)	\(e\left(\frac{467}{736}\right)\)
\(\chi_{6016}(39,\cdot)\)	6016.bq	368	no	\(1\)	\(1\)	\(e\left(\frac{245}{368}\right)\)	\(e\left(\frac{87}{368}\right)\)	\(e\left(\frac{127}{184}\right)\)	\(e\left(\frac{61}{184}\right)\)	\(e\left(\frac{11}{368}\right)\)	\(e\left(\frac{313}{368}\right)\)	\(e\left(\frac{83}{92}\right)\)	\(e\left(\frac{49}{92}\right)\)	\(e\left(\frac{281}{368}\right)\)	\(e\left(\frac{131}{368}\right)\)
\(\chi_{6016}(41,\cdot)\)	6016.bo	368	no	\(-1\)	\(1\)	\(e\left(\frac{123}{368}\right)\)	\(e\left(\frac{97}{368}\right)\)	\(e\left(\frac{149}{184}\right)\)	\(e\left(\frac{123}{184}\right)\)	\(e\left(\frac{357}{368}\right)\)	\(e\left(\frac{239}{368}\right)\)	\(e\left(\frac{55}{92}\right)\)	\(e\left(\frac{43}{92}\right)\)	\(e\left(\frac{87}{368}\right)\)	\(e\left(\frac{53}{368}\right)\)
\(\chi_{6016}(43,\cdot)\)	6016.bs	736	yes	\(1\)	\(1\)	\(e\left(\frac{641}{736}\right)\)	\(e\left(\frac{139}{736}\right)\)	\(e\left(\frac{223}{368}\right)\)	\(e\left(\frac{273}{368}\right)\)	\(e\left(\frac{375}{736}\right)\)	\(e\left(\frac{517}{736}\right)\)	\(e\left(\frac{11}{184}\right)\)	\(e\left(\frac{165}{184}\right)\)	\(e\left(\frac{45}{736}\right)\)	\(e\left(\frac{351}{736}\right)\)
\(\chi_{6016}(45,\cdot)\)	6016.bv	736	yes	\(-1\)	\(1\)	\(e\left(\frac{355}{736}\right)\)	\(e\left(\frac{81}{736}\right)\)	\(e\left(\frac{261}{368}\right)\)	\(e\left(\frac{355}{368}\right)\)	\(e\left(\frac{613}{736}\right)\)	\(e\left(\frac{63}{736}\right)\)	\(e\left(\frac{109}{184}\right)\)	\(e\left(\frac{71}{184}\right)\)	\(e\left(\frac{103}{736}\right)\)	\(e\left(\frac{141}{736}\right)\)
\(\chi_{6016}(49,\cdot)\)	6016.bm	184	no	\(1\)	\(1\)	\(e\left(\frac{129}{184}\right)\)	\(e\left(\frac{3}{184}\right)\)	\(e\left(\frac{71}{92}\right)\)	\(e\left(\frac{37}{92}\right)\)	\(e\left(\frac{159}{184}\right)\)	\(e\left(\frac{125}{184}\right)\)	\(e\left(\frac{33}{46}\right)\)	\(e\left(\frac{35}{46}\right)\)	\(e\left(\frac{181}{184}\right)\)	\(e\left(\frac{87}{184}\right)\)
\(\chi_{6016}(51,\cdot)\)	6016.bt	736	yes	\(-1\)	\(1\)	\(e\left(\frac{43}{736}\right)\)	\(e\left(\frac{553}{736}\right)\)	\(e\left(\frac{85}{368}\right)\)	\(e\left(\frac{43}{368}\right)\)	\(e\left(\frac{237}{736}\right)\)	\(e\left(\frac{103}{736}\right)\)	\(e\left(\frac{149}{184}\right)\)	\(e\left(\frac{119}{184}\right)\)	\(e\left(\frac{735}{736}\right)\)	\(e\left(\frac{213}{736}\right)\)
\(\chi_{6016}(53,\cdot)\)	6016.bu	736	yes	\(1\)	\(1\)	\(e\left(\frac{729}{736}\right)\)	\(e\left(\frac{723}{736}\right)\)	\(e\left(\frac{367}{368}\right)\)	\(e\left(\frac{361}{368}\right)\)	\(e\left(\frac{47}{736}\right)\)	\(e\left(\frac{317}{736}\right)\)	\(e\left(\frac{179}{184}\right)\)	\(e\left(\frac{109}{184}\right)\)	\(e\left(\frac{565}{736}\right)\)	\(e\left(\frac{727}{736}\right)\)
\(\chi_{6016}(55,\cdot)\)	6016.bp	368	no	\(-1\)	\(1\)	\(e\left(\frac{15}{368}\right)\)	\(e\left(\frac{317}{368}\right)\)	\(e\left(\frac{173}{184}\right)\)	\(e\left(\frac{15}{184}\right)\)	\(e\left(\frac{57}{368}\right)\)	\(e\left(\frac{83}{368}\right)\)	\(e\left(\frac{83}{92}\right)\)	\(e\left(\frac{3}{92}\right)\)	\(e\left(\frac{51}{368}\right)\)	\(e\left(\frac{361}{368}\right)\)
\(\chi_{6016}(57,\cdot)\)	6016.bo	368	no	\(-1\)	\(1\)	\(e\left(\frac{257}{368}\right)\)	\(e\left(\frac{83}{368}\right)\)	\(e\left(\frac{63}{184}\right)\)	\(e\left(\frac{73}{184}\right)\)	\(e\left(\frac{351}{368}\right)\)	\(e\left(\frac{269}{368}\right)\)	\(e\left(\frac{85}{92}\right)\)	\(e\left(\frac{33}{92}\right)\)	\(e\left(\frac{101}{368}\right)\)	\(e\left(\frac{15}{368}\right)\)
\(\chi_{6016}(59,\cdot)\)	6016.bt	736	yes	\(-1\)	\(1\)	\(e\left(\frac{325}{736}\right)\)	\(e\left(\frac{551}{736}\right)\)	\(e\left(\frac{283}{368}\right)\)	\(e\left(\frac{325}{368}\right)\)	\(e\left(\frac{131}{736}\right)\)	\(e\left(\frac{265}{736}\right)\)	\(e\left(\frac{35}{184}\right)\)	\(e\left(\frac{65}{184}\right)\)	\(e\left(\frac{369}{736}\right)\)	\(e\left(\frac{155}{736}\right)\)
\(\chi_{6016}(61,\cdot)\)	6016.bu	736	yes	\(1\)	\(1\)	\(e\left(\frac{383}{736}\right)\)	\(e\left(\frac{501}{736}\right)\)	\(e\left(\frac{265}{368}\right)\)	\(e\left(\frac{15}{368}\right)\)	\(e\left(\frac{57}{736}\right)\)	\(e\left(\frac{635}{736}\right)\)	\(e\left(\frac{37}{184}\right)\)	\(e\left(\frac{3}{184}\right)\)	\(e\left(\frac{419}{736}\right)\)	\(e\left(\frac{177}{736}\right)\)
\(\chi_{6016}(63,\cdot)\)	6016.bb	46	no	\(-1\)	\(1\)	\(e\left(\frac{7}{23}\right)\)	\(e\left(\frac{3}{46}\right)\)	\(e\left(\frac{27}{46}\right)\)	\(e\left(\frac{14}{23}\right)\)	\(e\left(\frac{22}{23}\right)\)	\(e\left(\frac{33}{46}\right)\)	\(e\left(\frac{17}{46}\right)\)	\(e\left(\frac{1}{23}\right)\)	\(e\left(\frac{10}{23}\right)\)	\(e\left(\frac{41}{46}\right)\)
\(\chi_{6016}(65,\cdot)\)	6016.be	46	no	\(1\)	\(1\)	\(e\left(\frac{33}{46}\right)\)	\(e\left(\frac{35}{46}\right)\)	\(e\left(\frac{8}{23}\right)\)	\(e\left(\frac{10}{23}\right)\)	\(e\left(\frac{15}{46}\right)\)	\(e\left(\frac{17}{46}\right)\)	\(e\left(\frac{11}{23}\right)\)	\(e\left(\frac{4}{23}\right)\)	\(e\left(\frac{11}{46}\right)\)	\(e\left(\frac{3}{46}\right)\)

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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.