LMFDB - Group of Dirichlet characters of modulus 501120

Show commands: PariGP / SageMath

sage: H = DirichletGroup(501120)

pari: g = idealstar(,501120,2)

Character group

sage: G.order() pari: g.no
Order	=	129024
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{4}\times C_{4}\times C_{2016}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{501120}(227071,\cdot)$, $\chi_{501120}(46981,\cdot)$, $\chi_{501120}(92801,\cdot)$, $\chi_{501120}(400897,\cdot)$, $\chi_{501120}(120961,\cdot)$

First 32 of 129024 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	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$23$	$31$	$37$	$41$	$43$
$\chi_{501120}(1,\cdot)$	501120.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{501120}(7,\cdot)$	501120.cuv	1008	no	$1$	$1$	$e\left(\frac{121}{504}\right)$	$e\left(\frac{335}{1008}\right)$	$e\left(\frac{265}{1008}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{239}{336}\right)$	$e\left(\frac{491}{504}\right)$	$e\left(\frac{13}{63}\right)$	$e\left(\frac{229}{336}\right)$	$e\left(\frac{35}{72}\right)$	$e\left(\frac{443}{1008}\right)$
$\chi_{501120}(11,\cdot)$	501120.cxx	2016	no	$-1$	$1$	$e\left(\frac{335}{1008}\right)$	$e\left(\frac{1999}{2016}\right)$	$e\left(\frac{1397}{2016}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{199}{672}\right)$	$e\left(\frac{493}{1008}\right)$	$e\left(\frac{11}{126}\right)$	$e\left(\frac{281}{672}\right)$	$e\left(\frac{31}{144}\right)$	$e\left(\frac{55}{2016}\right)$
$\chi_{501120}(13,\cdot)$	501120.cyj	2016	yes	$-1$	$1$	$e\left(\frac{265}{1008}\right)$	$e\left(\frac{1397}{2016}\right)$	$e\left(\frac{823}{2016}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{269}{672}\right)$	$e\left(\frac{563}{1008}\right)$	$e\left(\frac{71}{252}\right)$	$e\left(\frac{43}{672}\right)$	$e\left(\frac{17}{144}\right)$	$e\left(\frac{1973}{2016}\right)$
$\chi_{501120}(17,\cdot)$	501120.tb	24	no	$-1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{1}{24}\right)$	$1$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{24}\right)$
$\chi_{501120}(19,\cdot)$	501120.cua	672	no	$1$	$1$	$e\left(\frac{239}{336}\right)$	$e\left(\frac{199}{672}\right)$	$e\left(\frac{269}{672}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{207}{224}\right)$	$e\left(\frac{277}{336}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{97}{224}\right)$	$e\left(\frac{7}{48}\right)$	$e\left(\frac{463}{672}\right)$
$\chi_{501120}(23,\cdot)$	501120.cww	1008	no	$-1$	$1$	$e\left(\frac{491}{504}\right)$	$e\left(\frac{493}{1008}\right)$	$e\left(\frac{563}{1008}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{277}{336}\right)$	$e\left(\frac{445}{504}\right)$	$e\left(\frac{59}{63}\right)$	$e\left(\frac{167}{336}\right)$	$e\left(\frac{37}{72}\right)$	$e\left(\frac{169}{1008}\right)$
$\chi_{501120}(31,\cdot)$	501120.cjg	252	no	$1$	$1$	$e\left(\frac{13}{63}\right)$	$e\left(\frac{11}{126}\right)$	$e\left(\frac{71}{252}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{59}{63}\right)$	$e\left(\frac{191}{252}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{23}{36}\right)$	$e\left(\frac{83}{126}\right)$
$\chi_{501120}(37,\cdot)$	501120.csm	672	no	$1$	$1$	$e\left(\frac{229}{336}\right)$	$e\left(\frac{281}{672}\right)$	$e\left(\frac{43}{672}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{97}{224}\right)$	$e\left(\frac{167}{336}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{23}{224}\right)$	$e\left(\frac{41}{48}\right)$	$e\left(\frac{89}{672}\right)$
$\chi_{501120}(41,\cdot)$	501120.bzg	144	no	$1$	$1$	$e\left(\frac{35}{72}\right)$	$e\left(\frac{31}{144}\right)$	$e\left(\frac{17}{144}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{7}{48}\right)$	$e\left(\frac{37}{72}\right)$	$e\left(\frac{23}{36}\right)$	$e\left(\frac{41}{48}\right)$	$e\left(\frac{67}{72}\right)$	$e\left(\frac{31}{144}\right)$
$\chi_{501120}(43,\cdot)$	501120.czc	2016	yes	$-1$	$1$	$e\left(\frac{443}{1008}\right)$	$e\left(\frac{55}{2016}\right)$	$e\left(\frac{1973}{2016}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{463}{672}\right)$	$e\left(\frac{169}{1008}\right)$	$e\left(\frac{83}{126}\right)$	$e\left(\frac{89}{672}\right)$	$e\left(\frac{31}{144}\right)$	$e\left(\frac{1927}{2016}\right)$
$\chi_{501120}(47,\cdot)$	501120.csd	504	no	$1$	$1$	$e\left(\frac{55}{126}\right)$	$e\left(\frac{127}{504}\right)$	$e\left(\frac{281}{504}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{139}{168}\right)$	$e\left(\frac{40}{63}\right)$	$e\left(\frac{169}{252}\right)$	$e\left(\frac{23}{168}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{397}{504}\right)$
$\chi_{501120}(49,\cdot)$	501120.cpz	504	no	$1$	$1$	$e\left(\frac{121}{252}\right)$	$e\left(\frac{335}{504}\right)$	$e\left(\frac{265}{504}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{71}{168}\right)$	$e\left(\frac{239}{252}\right)$	$e\left(\frac{26}{63}\right)$	$e\left(\frac{61}{168}\right)$	$e\left(\frac{35}{36}\right)$	$e\left(\frac{443}{504}\right)$
$\chi_{501120}(53,\cdot)$	501120.cev	224	no	$1$	$1$	$e\left(\frac{83}{112}\right)$	$e\left(\frac{207}{224}\right)$	$e\left(\frac{165}{224}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{149}{224}\right)$	$e\left(\frac{73}{112}\right)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{115}{224}\right)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{111}{224}\right)$
$\chi_{501120}(59,\cdot)$	501120.cku	288	no	$1$	$1$	$e\left(\frac{109}{144}\right)$	$e\left(\frac{77}{288}\right)$	$e\left(\frac{199}{288}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{5}{96}\right)$	$e\left(\frac{71}{144}\right)$	$e\left(\frac{11}{36}\right)$	$e\left(\frac{43}{96}\right)$	$e\left(\frac{95}{144}\right)$	$e\left(\frac{149}{288}\right)$
$\chi_{501120}(61,\cdot)$	501120.cyr	2016	no	$-1$	$1$	$e\left(\frac{305}{1008}\right)$	$e\left(\frac{985}{2016}\right)$	$e\left(\frac{467}{2016}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{625}{672}\right)$	$e\left(\frac{667}{1008}\right)$	$e\left(\frac{89}{126}\right)$	$e\left(\frac{479}{672}\right)$	$e\left(\frac{25}{144}\right)$	$e\left(\frac{193}{2016}\right)$
$\chi_{501120}(67,\cdot)$	501120.cyl	2016	yes	$1$	$1$	$e\left(\frac{85}{1008}\right)$	$e\left(\frac{1361}{2016}\right)$	$e\left(\frac{1291}{2016}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{137}{672}\right)$	$e\left(\frac{599}{1008}\right)$	$e\left(\frac{125}{252}\right)$	$e\left(\frac{559}{672}\right)$	$e\left(\frac{125}{144}\right)$	$e\left(\frac{1793}{2016}\right)$
$\chi_{501120}(71,\cdot)$	501120.coa	336	no	$1$	$1$	$e\left(\frac{113}{168}\right)$	$e\left(\frac{157}{336}\right)$	$e\left(\frac{143}{336}\right)$	$-i$	$e\left(\frac{109}{112}\right)$	$e\left(\frac{151}{168}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{27}{112}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{253}{336}\right)$
$\chi_{501120}(73,\cdot)$	501120.coj	336	no	$1$	$1$	$e\left(\frac{145}{168}\right)$	$e\left(\frac{71}{336}\right)$	$e\left(\frac{85}{336}\right)$	$i$	$e\left(\frac{111}{112}\right)$	$e\left(\frac{83}{168}\right)$	$e\left(\frac{67}{84}\right)$	$e\left(\frac{93}{112}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{131}{336}\right)$
$\chi_{501120}(77,\cdot)$	501120.czg	2016	yes	$-1$	$1$	$e\left(\frac{577}{1008}\right)$	$e\left(\frac{653}{2016}\right)$	$e\left(\frac{1927}{2016}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{5}{672}\right)$	$e\left(\frac{467}{1008}\right)$	$e\left(\frac{37}{126}\right)$	$e\left(\frac{67}{672}\right)$	$e\left(\frac{101}{144}\right)$	$e\left(\frac{941}{2016}\right)$
$\chi_{501120}(79,\cdot)$	501120.cqu	504	no	$1$	$1$	$e\left(\frac{107}{252}\right)$	$e\left(\frac{13}{504}\right)$	$e\left(\frac{125}{504}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{168}\right)$	$e\left(\frac{1}{252}\right)$	$e\left(\frac{55}{252}\right)$	$e\left(\frac{47}{168}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{121}{504}\right)$
$\chi_{501120}(83,\cdot)$	501120.cxt	2016	yes	$-1$	$1$	$e\left(\frac{185}{1008}\right)$	$e\left(\frac{205}{2016}\right)$	$e\left(\frac{527}{2016}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{565}{672}\right)$	$e\left(\frac{859}{1008}\right)$	$e\left(\frac{235}{252}\right)$	$e\left(\frac{179}{672}\right)$	$e\left(\frac{73}{144}\right)$	$e\left(\frac{1501}{2016}\right)$
$\chi_{501120}(89,\cdot)$	501120.cnq	336	no	$1$	$1$	$e\left(\frac{37}{168}\right)$	$e\left(\frac{293}{336}\right)$	$e\left(\frac{307}{336}\right)$	$-1$	$e\left(\frac{29}{112}\right)$	$e\left(\frac{155}{168}\right)$	$e\left(\frac{73}{84}\right)$	$e\left(\frac{75}{112}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{317}{336}\right)$
$\chi_{501120}(91,\cdot)$	501120.ctj	672	no	$-1$	$1$	$e\left(\frac{169}{336}\right)$	$e\left(\frac{17}{672}\right)$	$e\left(\frac{451}{672}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{25}{224}\right)$	$e\left(\frac{179}{336}\right)$	$e\left(\frac{41}{84}\right)$	$e\left(\frac{167}{224}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{281}{672}\right)$
$\chi_{501120}(97,\cdot)$	501120.cjx	252	no	$1$	$1$	$e\left(\frac{41}{252}\right)$	$e\left(\frac{85}{126}\right)$	$e\left(\frac{4}{63}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{31}{252}\right)$	$e\left(\frac{67}{252}\right)$	$e\left(\frac{25}{84}\right)$	$e\left(\frac{1}{36}\right)$	$e\left(\frac{143}{252}\right)$
$\chi_{501120}(101,\cdot)$	501120.cyq	2016	no	$1$	$1$	$e\left(\frac{611}{1008}\right)$	$e\left(\frac{1147}{2016}\right)$	$e\left(\frac{1385}{2016}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{211}{672}\right)$	$e\left(\frac{505}{1008}\right)$	$e\left(\frac{31}{63}\right)$	$e\left(\frac{509}{672}\right)$	$e\left(\frac{43}{144}\right)$	$e\left(\frac{1507}{2016}\right)$
$\chi_{501120}(103,\cdot)$	501120.cwz	1008	no	$1$	$1$	$e\left(\frac{17}{504}\right)$	$e\left(\frac{499}{1008}\right)$	$e\left(\frac{989}{1008}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{19}{336}\right)$	$e\left(\frac{19}{504}\right)$	$e\left(\frac{44}{63}\right)$	$e\left(\frac{137}{336}\right)$	$e\left(\frac{7}{72}\right)$	$e\left(\frac{535}{1008}\right)$
$\chi_{501120}(107,\cdot)$	501120.cfp	224	no	$-1$	$1$	$e\left(\frac{11}{112}\right)$	$e\left(\frac{215}{224}\right)$	$e\left(\frac{61}{224}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{13}{224}\right)$	$e\left(\frac{65}{112}\right)$	$e\left(\frac{17}{28}\right)$	$e\left(\frac{219}{224}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{39}{224}\right)$
$\chi_{501120}(109,\cdot)$	501120.cff	224	no	$1$	$1$	$e\left(\frac{93}{112}\right)$	$e\left(\frac{69}{224}\right)$	$e\left(\frac{223}{224}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{199}{224}\right)$	$e\left(\frac{15}{112}\right)$	$e\left(\frac{19}{28}\right)$	$e\left(\frac{57}{224}\right)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{93}{224}\right)$
$\chi_{501120}(113,\cdot)$	501120.cpv	504	no	$-1$	$1$	$e\left(\frac{37}{63}\right)$	$e\left(\frac{101}{504}\right)$	$e\left(\frac{283}{504}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{137}{168}\right)$	$e\left(\frac{79}{126}\right)$	$e\left(\frac{59}{252}\right)$	$e\left(\frac{97}{168}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{407}{504}\right)$
$\chi_{501120}(119,\cdot)$	501120.cut	1008	no	$-1$	$1$	$e\left(\frac{289}{504}\right)$	$e\left(\frac{293}{1008}\right)$	$e\left(\frac{307}{1008}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{29}{336}\right)$	$e\left(\frac{71}{504}\right)$	$e\left(\frac{157}{252}\right)$	$e\left(\frac{19}{336}\right)$	$e\left(\frac{11}{72}\right)$	$e\left(\frac{653}{1008}\right)$
$\chi_{501120}(121,\cdot)$	501120.cvq	1008	no	$1$	$1$	$e\left(\frac{335}{504}\right)$	$e\left(\frac{991}{1008}\right)$	$e\left(\frac{389}{1008}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{199}{336}\right)$	$e\left(\frac{493}{504}\right)$	$e\left(\frac{11}{63}\right)$	$e\left(\frac{281}{336}\right)$	$e\left(\frac{31}{72}\right)$	$e\left(\frac{55}{1008}\right)$

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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	$501120$
Structure	\(C_{2}\times C_{2}\times C_{4}\times C_{4}\times C_{2016}\)
Order	$129024$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(31\)	\(37\)	\(41\)	\(43\)
\(\chi_{501120}(1,\cdot)\)	501120.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{501120}(7,\cdot)\)	501120.cuv	1008	no	\(1\)	\(1\)	\(e\left(\frac{121}{504}\right)\)	\(e\left(\frac{335}{1008}\right)\)	\(e\left(\frac{265}{1008}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{239}{336}\right)\)	\(e\left(\frac{491}{504}\right)\)	\(e\left(\frac{13}{63}\right)\)	\(e\left(\frac{229}{336}\right)\)	\(e\left(\frac{35}{72}\right)\)	\(e\left(\frac{443}{1008}\right)\)
\(\chi_{501120}(11,\cdot)\)	501120.cxx	2016	no	\(-1\)	\(1\)	\(e\left(\frac{335}{1008}\right)\)	\(e\left(\frac{1999}{2016}\right)\)	\(e\left(\frac{1397}{2016}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{199}{672}\right)\)	\(e\left(\frac{493}{1008}\right)\)	\(e\left(\frac{11}{126}\right)\)	\(e\left(\frac{281}{672}\right)\)	\(e\left(\frac{31}{144}\right)\)	\(e\left(\frac{55}{2016}\right)\)
\(\chi_{501120}(13,\cdot)\)	501120.cyj	2016	yes	\(-1\)	\(1\)	\(e\left(\frac{265}{1008}\right)\)	\(e\left(\frac{1397}{2016}\right)\)	\(e\left(\frac{823}{2016}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{269}{672}\right)\)	\(e\left(\frac{563}{1008}\right)\)	\(e\left(\frac{71}{252}\right)\)	\(e\left(\frac{43}{672}\right)\)	\(e\left(\frac{17}{144}\right)\)	\(e\left(\frac{1973}{2016}\right)\)
\(\chi_{501120}(17,\cdot)\)	501120.tb	24	no	\(-1\)	\(1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(1\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{24}\right)\)
\(\chi_{501120}(19,\cdot)\)	501120.cua	672	no	\(1\)	\(1\)	\(e\left(\frac{239}{336}\right)\)	\(e\left(\frac{199}{672}\right)\)	\(e\left(\frac{269}{672}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{207}{224}\right)\)	\(e\left(\frac{277}{336}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{97}{224}\right)\)	\(e\left(\frac{7}{48}\right)\)	\(e\left(\frac{463}{672}\right)\)
\(\chi_{501120}(23,\cdot)\)	501120.cww	1008	no	\(-1\)	\(1\)	\(e\left(\frac{491}{504}\right)\)	\(e\left(\frac{493}{1008}\right)\)	\(e\left(\frac{563}{1008}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{277}{336}\right)\)	\(e\left(\frac{445}{504}\right)\)	\(e\left(\frac{59}{63}\right)\)	\(e\left(\frac{167}{336}\right)\)	\(e\left(\frac{37}{72}\right)\)	\(e\left(\frac{169}{1008}\right)\)
\(\chi_{501120}(31,\cdot)\)	501120.cjg	252	no	\(1\)	\(1\)	\(e\left(\frac{13}{63}\right)\)	\(e\left(\frac{11}{126}\right)\)	\(e\left(\frac{71}{252}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{59}{63}\right)\)	\(e\left(\frac{191}{252}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{23}{36}\right)\)	\(e\left(\frac{83}{126}\right)\)
\(\chi_{501120}(37,\cdot)\)	501120.csm	672	no	\(1\)	\(1\)	\(e\left(\frac{229}{336}\right)\)	\(e\left(\frac{281}{672}\right)\)	\(e\left(\frac{43}{672}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{97}{224}\right)\)	\(e\left(\frac{167}{336}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{23}{224}\right)\)	\(e\left(\frac{41}{48}\right)\)	\(e\left(\frac{89}{672}\right)\)
\(\chi_{501120}(41,\cdot)\)	501120.bzg	144	no	\(1\)	\(1\)	\(e\left(\frac{35}{72}\right)\)	\(e\left(\frac{31}{144}\right)\)	\(e\left(\frac{17}{144}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{7}{48}\right)\)	\(e\left(\frac{37}{72}\right)\)	\(e\left(\frac{23}{36}\right)\)	\(e\left(\frac{41}{48}\right)\)	\(e\left(\frac{67}{72}\right)\)	\(e\left(\frac{31}{144}\right)\)
\(\chi_{501120}(43,\cdot)\)	501120.czc	2016	yes	\(-1\)	\(1\)	\(e\left(\frac{443}{1008}\right)\)	\(e\left(\frac{55}{2016}\right)\)	\(e\left(\frac{1973}{2016}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{463}{672}\right)\)	\(e\left(\frac{169}{1008}\right)\)	\(e\left(\frac{83}{126}\right)\)	\(e\left(\frac{89}{672}\right)\)	\(e\left(\frac{31}{144}\right)\)	\(e\left(\frac{1927}{2016}\right)\)
\(\chi_{501120}(47,\cdot)\)	501120.csd	504	no	\(1\)	\(1\)	\(e\left(\frac{55}{126}\right)\)	\(e\left(\frac{127}{504}\right)\)	\(e\left(\frac{281}{504}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{139}{168}\right)\)	\(e\left(\frac{40}{63}\right)\)	\(e\left(\frac{169}{252}\right)\)	\(e\left(\frac{23}{168}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{397}{504}\right)\)
\(\chi_{501120}(49,\cdot)\)	501120.cpz	504	no	\(1\)	\(1\)	\(e\left(\frac{121}{252}\right)\)	\(e\left(\frac{335}{504}\right)\)	\(e\left(\frac{265}{504}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{71}{168}\right)\)	\(e\left(\frac{239}{252}\right)\)	\(e\left(\frac{26}{63}\right)\)	\(e\left(\frac{61}{168}\right)\)	\(e\left(\frac{35}{36}\right)\)	\(e\left(\frac{443}{504}\right)\)
\(\chi_{501120}(53,\cdot)\)	501120.cev	224	no	\(1\)	\(1\)	\(e\left(\frac{83}{112}\right)\)	\(e\left(\frac{207}{224}\right)\)	\(e\left(\frac{165}{224}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{149}{224}\right)\)	\(e\left(\frac{73}{112}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{115}{224}\right)\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{111}{224}\right)\)
\(\chi_{501120}(59,\cdot)\)	501120.cku	288	no	\(1\)	\(1\)	\(e\left(\frac{109}{144}\right)\)	\(e\left(\frac{77}{288}\right)\)	\(e\left(\frac{199}{288}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{5}{96}\right)\)	\(e\left(\frac{71}{144}\right)\)	\(e\left(\frac{11}{36}\right)\)	\(e\left(\frac{43}{96}\right)\)	\(e\left(\frac{95}{144}\right)\)	\(e\left(\frac{149}{288}\right)\)
\(\chi_{501120}(61,\cdot)\)	501120.cyr	2016	no	\(-1\)	\(1\)	\(e\left(\frac{305}{1008}\right)\)	\(e\left(\frac{985}{2016}\right)\)	\(e\left(\frac{467}{2016}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{625}{672}\right)\)	\(e\left(\frac{667}{1008}\right)\)	\(e\left(\frac{89}{126}\right)\)	\(e\left(\frac{479}{672}\right)\)	\(e\left(\frac{25}{144}\right)\)	\(e\left(\frac{193}{2016}\right)\)
\(\chi_{501120}(67,\cdot)\)	501120.cyl	2016	yes	\(1\)	\(1\)	\(e\left(\frac{85}{1008}\right)\)	\(e\left(\frac{1361}{2016}\right)\)	\(e\left(\frac{1291}{2016}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{137}{672}\right)\)	\(e\left(\frac{599}{1008}\right)\)	\(e\left(\frac{125}{252}\right)\)	\(e\left(\frac{559}{672}\right)\)	\(e\left(\frac{125}{144}\right)\)	\(e\left(\frac{1793}{2016}\right)\)
\(\chi_{501120}(71,\cdot)\)	501120.coa	336	no	\(1\)	\(1\)	\(e\left(\frac{113}{168}\right)\)	\(e\left(\frac{157}{336}\right)\)	\(e\left(\frac{143}{336}\right)\)	\(-i\)	\(e\left(\frac{109}{112}\right)\)	\(e\left(\frac{151}{168}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{27}{112}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{253}{336}\right)\)
\(\chi_{501120}(73,\cdot)\)	501120.coj	336	no	\(1\)	\(1\)	\(e\left(\frac{145}{168}\right)\)	\(e\left(\frac{71}{336}\right)\)	\(e\left(\frac{85}{336}\right)\)	\(i\)	\(e\left(\frac{111}{112}\right)\)	\(e\left(\frac{83}{168}\right)\)	\(e\left(\frac{67}{84}\right)\)	\(e\left(\frac{93}{112}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{131}{336}\right)\)
\(\chi_{501120}(77,\cdot)\)	501120.czg	2016	yes	\(-1\)	\(1\)	\(e\left(\frac{577}{1008}\right)\)	\(e\left(\frac{653}{2016}\right)\)	\(e\left(\frac{1927}{2016}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{5}{672}\right)\)	\(e\left(\frac{467}{1008}\right)\)	\(e\left(\frac{37}{126}\right)\)	\(e\left(\frac{67}{672}\right)\)	\(e\left(\frac{101}{144}\right)\)	\(e\left(\frac{941}{2016}\right)\)
\(\chi_{501120}(79,\cdot)\)	501120.cqu	504	no	\(1\)	\(1\)	\(e\left(\frac{107}{252}\right)\)	\(e\left(\frac{13}{504}\right)\)	\(e\left(\frac{125}{504}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{1}{168}\right)\)	\(e\left(\frac{1}{252}\right)\)	\(e\left(\frac{55}{252}\right)\)	\(e\left(\frac{47}{168}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{121}{504}\right)\)
\(\chi_{501120}(83,\cdot)\)	501120.cxt	2016	yes	\(-1\)	\(1\)	\(e\left(\frac{185}{1008}\right)\)	\(e\left(\frac{205}{2016}\right)\)	\(e\left(\frac{527}{2016}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{565}{672}\right)\)	\(e\left(\frac{859}{1008}\right)\)	\(e\left(\frac{235}{252}\right)\)	\(e\left(\frac{179}{672}\right)\)	\(e\left(\frac{73}{144}\right)\)	\(e\left(\frac{1501}{2016}\right)\)
\(\chi_{501120}(89,\cdot)\)	501120.cnq	336	no	\(1\)	\(1\)	\(e\left(\frac{37}{168}\right)\)	\(e\left(\frac{293}{336}\right)\)	\(e\left(\frac{307}{336}\right)\)	\(-1\)	\(e\left(\frac{29}{112}\right)\)	\(e\left(\frac{155}{168}\right)\)	\(e\left(\frac{73}{84}\right)\)	\(e\left(\frac{75}{112}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{317}{336}\right)\)
\(\chi_{501120}(91,\cdot)\)	501120.ctj	672	no	\(-1\)	\(1\)	\(e\left(\frac{169}{336}\right)\)	\(e\left(\frac{17}{672}\right)\)	\(e\left(\frac{451}{672}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{25}{224}\right)\)	\(e\left(\frac{179}{336}\right)\)	\(e\left(\frac{41}{84}\right)\)	\(e\left(\frac{167}{224}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{281}{672}\right)\)
\(\chi_{501120}(97,\cdot)\)	501120.cjx	252	no	\(1\)	\(1\)	\(e\left(\frac{41}{252}\right)\)	\(e\left(\frac{85}{126}\right)\)	\(e\left(\frac{4}{63}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{31}{252}\right)\)	\(e\left(\frac{67}{252}\right)\)	\(e\left(\frac{25}{84}\right)\)	\(e\left(\frac{1}{36}\right)\)	\(e\left(\frac{143}{252}\right)\)
\(\chi_{501120}(101,\cdot)\)	501120.cyq	2016	no	\(1\)	\(1\)	\(e\left(\frac{611}{1008}\right)\)	\(e\left(\frac{1147}{2016}\right)\)	\(e\left(\frac{1385}{2016}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{211}{672}\right)\)	\(e\left(\frac{505}{1008}\right)\)	\(e\left(\frac{31}{63}\right)\)	\(e\left(\frac{509}{672}\right)\)	\(e\left(\frac{43}{144}\right)\)	\(e\left(\frac{1507}{2016}\right)\)
\(\chi_{501120}(103,\cdot)\)	501120.cwz	1008	no	\(1\)	\(1\)	\(e\left(\frac{17}{504}\right)\)	\(e\left(\frac{499}{1008}\right)\)	\(e\left(\frac{989}{1008}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{19}{336}\right)\)	\(e\left(\frac{19}{504}\right)\)	\(e\left(\frac{44}{63}\right)\)	\(e\left(\frac{137}{336}\right)\)	\(e\left(\frac{7}{72}\right)\)	\(e\left(\frac{535}{1008}\right)\)
\(\chi_{501120}(107,\cdot)\)	501120.cfp	224	no	\(-1\)	\(1\)	\(e\left(\frac{11}{112}\right)\)	\(e\left(\frac{215}{224}\right)\)	\(e\left(\frac{61}{224}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{13}{224}\right)\)	\(e\left(\frac{65}{112}\right)\)	\(e\left(\frac{17}{28}\right)\)	\(e\left(\frac{219}{224}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{39}{224}\right)\)
\(\chi_{501120}(109,\cdot)\)	501120.cff	224	no	\(1\)	\(1\)	\(e\left(\frac{93}{112}\right)\)	\(e\left(\frac{69}{224}\right)\)	\(e\left(\frac{223}{224}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{199}{224}\right)\)	\(e\left(\frac{15}{112}\right)\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{57}{224}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{93}{224}\right)\)
\(\chi_{501120}(113,\cdot)\)	501120.cpv	504	no	\(-1\)	\(1\)	\(e\left(\frac{37}{63}\right)\)	\(e\left(\frac{101}{504}\right)\)	\(e\left(\frac{283}{504}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{137}{168}\right)\)	\(e\left(\frac{79}{126}\right)\)	\(e\left(\frac{59}{252}\right)\)	\(e\left(\frac{97}{168}\right)\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{407}{504}\right)\)
\(\chi_{501120}(119,\cdot)\)	501120.cut	1008	no	\(-1\)	\(1\)	\(e\left(\frac{289}{504}\right)\)	\(e\left(\frac{293}{1008}\right)\)	\(e\left(\frac{307}{1008}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{29}{336}\right)\)	\(e\left(\frac{71}{504}\right)\)	\(e\left(\frac{157}{252}\right)\)	\(e\left(\frac{19}{336}\right)\)	\(e\left(\frac{11}{72}\right)\)	\(e\left(\frac{653}{1008}\right)\)
\(\chi_{501120}(121,\cdot)\)	501120.cvq	1008	no	\(1\)	\(1\)	\(e\left(\frac{335}{504}\right)\)	\(e\left(\frac{991}{1008}\right)\)	\(e\left(\frac{389}{1008}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{199}{336}\right)\)	\(e\left(\frac{493}{504}\right)\)	\(e\left(\frac{11}{63}\right)\)	\(e\left(\frac{281}{336}\right)\)	\(e\left(\frac{31}{72}\right)\)	\(e\left(\frac{55}{1008}\right)\)

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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.