LMFDB - Group of Dirichlet characters of modulus 184041

Show commands: Magma / Pari/GP / SageMath

comment:Define the Dirichlet group

sage:G = DirichletGroup(184041)

gp:g = idealstar(,184041,2)

magma:G := FullDirichletGroup(184041);

Character group

Order	=	102960	comment:Order sage:G.order() gp:g.no magma:Order(G);
Structure	=	$C_{2}\times C_{6}\times C_{8580}$	comment:Group structure sage:sorted(g.order() for g in G.gens()) gp:g.cyc magma:PrimaryInvariants(AbelianGroup(G));
Generators	=	$\chi_{184041}(20450,\cdot)$, $\chi_{184041}(173395,\cdot)$, $\chi_{184041}(174241,\cdot)$	comment:Generators sage:G.gens() gp:g.gen magma:Generators(G);

First 32 of 102960 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	$-1$	$1$	$2$	$4$	$5$	$7$	$8$	$10$	$14$	$16$	$17$	$19$
$\chi_{184041}(1,\cdot)$	184041.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{184041}(2,\cdot)$	184041.si	8580	yes	$-1$	$1$	$e\left(\frac{521}{2860}\right)$	$e\left(\frac{521}{1430}\right)$	$e\left(\frac{4837}{8580}\right)$	$e\left(\frac{3571}{8580}\right)$	$e\left(\frac{1563}{2860}\right)$	$e\left(\frac{320}{429}\right)$	$e\left(\frac{2567}{4290}\right)$	$e\left(\frac{521}{715}\right)$	$e\left(\frac{3781}{4290}\right)$	$e\left(\frac{113}{660}\right)$
$\chi_{184041}(4,\cdot)$	184041.rs	4290	yes	$1$	$1$	$e\left(\frac{521}{1430}\right)$	$e\left(\frac{521}{715}\right)$	$e\left(\frac{547}{4290}\right)$	$e\left(\frac{3571}{4290}\right)$	$e\left(\frac{133}{1430}\right)$	$e\left(\frac{211}{429}\right)$	$e\left(\frac{422}{2145}\right)$	$e\left(\frac{327}{715}\right)$	$e\left(\frac{1636}{2145}\right)$	$e\left(\frac{113}{330}\right)$
$\chi_{184041}(5,\cdot)$	184041.rw	8580	yes	$1$	$1$	$e\left(\frac{4837}{8580}\right)$	$e\left(\frac{547}{4290}\right)$	$e\left(\frac{4013}{8580}\right)$	$e\left(\frac{1849}{8580}\right)$	$e\left(\frac{1977}{2860}\right)$	$e\left(\frac{9}{286}\right)$	$e\left(\frac{3343}{4290}\right)$	$e\left(\frac{547}{2145}\right)$	$e\left(\frac{634}{715}\right)$	$e\left(\frac{129}{220}\right)$
$\chi_{184041}(7,\cdot)$	184041.sa	8580	yes	$1$	$1$	$e\left(\frac{3571}{8580}\right)$	$e\left(\frac{3571}{4290}\right)$	$e\left(\frac{1849}{8580}\right)$	$e\left(\frac{1439}{2860}\right)$	$e\left(\frac{711}{2860}\right)$	$e\left(\frac{271}{429}\right)$	$e\left(\frac{1972}{2145}\right)$	$e\left(\frac{1426}{2145}\right)$	$e\left(\frac{556}{2145}\right)$	$e\left(\frac{571}{660}\right)$
$\chi_{184041}(8,\cdot)$	184041.qt	2860	no	$-1$	$1$	$e\left(\frac{1563}{2860}\right)$	$e\left(\frac{133}{1430}\right)$	$e\left(\frac{1977}{2860}\right)$	$e\left(\frac{711}{2860}\right)$	$e\left(\frac{1829}{2860}\right)$	$e\left(\frac{34}{143}\right)$	$e\left(\frac{1137}{1430}\right)$	$e\left(\frac{133}{715}\right)$	$e\left(\frac{921}{1430}\right)$	$e\left(\frac{113}{220}\right)$
$\chi_{184041}(10,\cdot)$	184041.or	858	no	$-1$	$1$	$e\left(\frac{320}{429}\right)$	$e\left(\frac{211}{429}\right)$	$e\left(\frac{9}{286}\right)$	$e\left(\frac{271}{429}\right)$	$e\left(\frac{34}{143}\right)$	$e\left(\frac{667}{858}\right)$	$e\left(\frac{54}{143}\right)$	$e\left(\frac{422}{429}\right)$	$e\left(\frac{659}{858}\right)$	$e\left(\frac{25}{33}\right)$
$\chi_{184041}(14,\cdot)$	184041.rb	4290	yes	$-1$	$1$	$e\left(\frac{2567}{4290}\right)$	$e\left(\frac{422}{2145}\right)$	$e\left(\frac{3343}{4290}\right)$	$e\left(\frac{1972}{2145}\right)$	$e\left(\frac{1137}{1430}\right)$	$e\left(\frac{54}{143}\right)$	$e\left(\frac{2221}{4290}\right)$	$e\left(\frac{844}{2145}\right)$	$e\left(\frac{201}{1430}\right)$	$e\left(\frac{2}{55}\right)$
$\chi_{184041}(16,\cdot)$	184041.qm	2145	yes	$1$	$1$	$e\left(\frac{521}{715}\right)$	$e\left(\frac{327}{715}\right)$	$e\left(\frac{547}{2145}\right)$	$e\left(\frac{1426}{2145}\right)$	$e\left(\frac{133}{715}\right)$	$e\left(\frac{422}{429}\right)$	$e\left(\frac{844}{2145}\right)$	$e\left(\frac{654}{715}\right)$	$e\left(\frac{1127}{2145}\right)$	$e\left(\frac{113}{165}\right)$
$\chi_{184041}(17,\cdot)$	184041.qy	4290	no	$1$	$1$	$e\left(\frac{3781}{4290}\right)$	$e\left(\frac{1636}{2145}\right)$	$e\left(\frac{634}{715}\right)$	$e\left(\frac{556}{2145}\right)$	$e\left(\frac{921}{1430}\right)$	$e\left(\frac{659}{858}\right)$	$e\left(\frac{201}{1430}\right)$	$e\left(\frac{1127}{2145}\right)$	$e\left(\frac{2077}{2145}\right)$	$e\left(\frac{133}{165}\right)$
$\chi_{184041}(19,\cdot)$	184041.nt	660	no	$1$	$1$	$e\left(\frac{113}{660}\right)$	$e\left(\frac{113}{330}\right)$	$e\left(\frac{129}{220}\right)$	$e\left(\frac{571}{660}\right)$	$e\left(\frac{113}{220}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{113}{165}\right)$	$e\left(\frac{133}{165}\right)$	$e\left(\frac{469}{660}\right)$
$\chi_{184041}(20,\cdot)$	184041.sd	8580	yes	$1$	$1$	$e\left(\frac{7963}{8580}\right)$	$e\left(\frac{3673}{4290}\right)$	$e\left(\frac{5107}{8580}\right)$	$e\left(\frac{137}{2860}\right)$	$e\left(\frac{2243}{2860}\right)$	$e\left(\frac{449}{858}\right)$	$e\left(\frac{4187}{4290}\right)$	$e\left(\frac{1528}{2145}\right)$	$e\left(\frac{1393}{2145}\right)$	$e\left(\frac{613}{660}\right)$
$\chi_{184041}(23,\cdot)$	184041.gt	66	no	$-1$	$1$	$e\left(\frac{10}{33}\right)$	$e\left(\frac{20}{33}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{17}{66}\right)$	$e\left(\frac{7}{33}\right)$	$e\left(\frac{23}{66}\right)$	$e\left(\frac{65}{66}\right)$
$\chi_{184041}(25,\cdot)$	184041.ra	4290	yes	$1$	$1$	$e\left(\frac{547}{4290}\right)$	$e\left(\frac{547}{2145}\right)$	$e\left(\frac{4013}{4290}\right)$	$e\left(\frac{1849}{4290}\right)$	$e\left(\frac{547}{1430}\right)$	$e\left(\frac{9}{143}\right)$	$e\left(\frac{1198}{2145}\right)$	$e\left(\frac{1094}{2145}\right)$	$e\left(\frac{553}{715}\right)$	$e\left(\frac{19}{110}\right)$
$\chi_{184041}(28,\cdot)$	184041.ry	8580	no	$1$	$1$	$e\left(\frac{6697}{8580}\right)$	$e\left(\frac{2407}{4290}\right)$	$e\left(\frac{981}{2860}\right)$	$e\left(\frac{2879}{8580}\right)$	$e\left(\frac{977}{2860}\right)$	$e\left(\frac{53}{429}\right)$	$e\left(\frac{83}{715}\right)$	$e\left(\frac{262}{2145}\right)$	$e\left(\frac{47}{2145}\right)$	$e\left(\frac{137}{660}\right)$
$\chi_{184041}(29,\cdot)$	184041.qu	4290	yes	$1$	$1$	$e\left(\frac{413}{715}\right)$	$e\left(\frac{111}{715}\right)$	$e\left(\frac{2477}{4290}\right)$	$e\left(\frac{791}{4290}\right)$	$e\left(\frac{524}{715}\right)$	$e\left(\frac{133}{858}\right)$	$e\left(\frac{3269}{4290}\right)$	$e\left(\frac{222}{715}\right)$	$e\left(\frac{1091}{2145}\right)$	$e\left(\frac{163}{330}\right)$
$\chi_{184041}(31,\cdot)$	184041.rx	8580	yes	$-1$	$1$	$e\left(\frac{2143}{8580}\right)$	$e\left(\frac{2143}{4290}\right)$	$e\left(\frac{6287}{8580}\right)$	$e\left(\frac{1801}{8580}\right)$	$e\left(\frac{2143}{2860}\right)$	$e\left(\frac{281}{286}\right)$	$e\left(\frac{986}{2145}\right)$	$e\left(\frac{2143}{2145}\right)$	$e\left(\frac{1377}{1430}\right)$	$e\left(\frac{141}{220}\right)$
$\chi_{184041}(32,\cdot)$	184041.px	1716	yes	$-1$	$1$	$e\left(\frac{521}{572}\right)$	$e\left(\frac{235}{286}\right)$	$e\left(\frac{1405}{1716}\right)$	$e\left(\frac{139}{1716}\right)$	$e\left(\frac{419}{572}\right)$	$e\left(\frac{313}{429}\right)$	$e\left(\frac{851}{858}\right)$	$e\left(\frac{92}{143}\right)$	$e\left(\frac{349}{858}\right)$	$e\left(\frac{113}{132}\right)$
$\chi_{184041}(34,\cdot)$	184041.qa	1716	yes	$-1$	$1$	$e\left(\frac{109}{1716}\right)$	$e\left(\frac{109}{858}\right)$	$e\left(\frac{773}{1716}\right)$	$e\left(\frac{1159}{1716}\right)$	$e\left(\frac{109}{572}\right)$	$e\left(\frac{147}{286}\right)$	$e\left(\frac{317}{429}\right)$	$e\left(\frac{109}{429}\right)$	$e\left(\frac{243}{286}\right)$	$e\left(\frac{43}{44}\right)$
$\chi_{184041}(35,\cdot)$	184041.rq	4290	no	$1$	$1$	$e\left(\frac{2102}{2145}\right)$	$e\left(\frac{2059}{2145}\right)$	$e\left(\frac{977}{1430}\right)$	$e\left(\frac{3083}{4290}\right)$	$e\left(\frac{672}{715}\right)$	$e\left(\frac{569}{858}\right)$	$e\left(\frac{999}{1430}\right)$	$e\left(\frac{1973}{2145}\right)$	$e\left(\frac{313}{2145}\right)$	$e\left(\frac{149}{330}\right)$
$\chi_{184041}(37,\cdot)$	184041.sc	8580	no	$-1$	$1$	$e\left(\frac{3001}{8580}\right)$	$e\left(\frac{3001}{4290}\right)$	$e\left(\frac{2763}{2860}\right)$	$e\left(\frac{2087}{8580}\right)$	$e\left(\frac{141}{2860}\right)$	$e\left(\frac{271}{858}\right)$	$e\left(\frac{424}{715}\right)$	$e\left(\frac{856}{2145}\right)$	$e\left(\frac{127}{4290}\right)$	$e\left(\frac{401}{660}\right)$
$\chi_{184041}(38,\cdot)$	184041.ro	4290	yes	$-1$	$1$	$e\left(\frac{758}{2145}\right)$	$e\left(\frac{1516}{2145}\right)$	$e\left(\frac{322}{2145}\right)$	$e\left(\frac{1207}{4290}\right)$	$e\left(\frac{43}{715}\right)$	$e\left(\frac{72}{143}\right)$	$e\left(\frac{2723}{4290}\right)$	$e\left(\frac{887}{2145}\right)$	$e\left(\frac{983}{1430}\right)$	$e\left(\frac{97}{110}\right)$
$\chi_{184041}(40,\cdot)$	184041.mn	390	no	$-1$	$1$	$e\left(\frac{43}{390}\right)$	$e\left(\frac{43}{195}\right)$	$e\left(\frac{31}{195}\right)$	$e\left(\frac{181}{390}\right)$	$e\left(\frac{43}{130}\right)$	$e\left(\frac{7}{26}\right)$	$e\left(\frac{112}{195}\right)$	$e\left(\frac{86}{195}\right)$	$e\left(\frac{69}{130}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{184041}(41,\cdot)$	184041.rz	8580	yes	$-1$	$1$	$e\left(\frac{5039}{8580}\right)$	$e\left(\frac{749}{4290}\right)$	$e\left(\frac{4661}{8580}\right)$	$e\left(\frac{281}{2860}\right)$	$e\left(\frac{2179}{2860}\right)$	$e\left(\frac{56}{429}\right)$	$e\left(\frac{2941}{4290}\right)$	$e\left(\frac{749}{2145}\right)$	$e\left(\frac{1273}{4290}\right)$	$e\left(\frac{509}{660}\right)$
$\chi_{184041}(43,\cdot)$	184041.oy	858	yes	$-1$	$1$	$e\left(\frac{290}{429}\right)$	$e\left(\frac{151}{429}\right)$	$e\left(\frac{163}{858}\right)$	$e\left(\frac{134}{143}\right)$	$e\left(\frac{4}{143}\right)$	$e\left(\frac{743}{858}\right)$	$e\left(\frac{263}{429}\right)$	$e\left(\frac{302}{429}\right)$	$e\left(\frac{271}{858}\right)$	$e\left(\frac{23}{33}\right)$
$\chi_{184041}(46,\cdot)$	184041.ry	8580	no	$1$	$1$	$e\left(\frac{4163}{8580}\right)$	$e\left(\frac{4163}{4290}\right)$	$e\left(\frac{919}{2860}\right)$	$e\left(\frac{3181}{8580}\right)$	$e\left(\frac{1303}{2860}\right)$	$e\left(\frac{346}{429}\right)$	$e\left(\frac{612}{715}\right)$	$e\left(\frac{2018}{2145}\right)$	$e\left(\frac{493}{2145}\right)$	$e\left(\frac{103}{660}\right)$
$\chi_{184041}(47,\cdot)$	184041.rw	8580	yes	$1$	$1$	$e\left(\frac{3959}{8580}\right)$	$e\left(\frac{3959}{4290}\right)$	$e\left(\frac{3391}{8580}\right)$	$e\left(\frac{983}{8580}\right)$	$e\left(\frac{1099}{2860}\right)$	$e\left(\frac{245}{286}\right)$	$e\left(\frac{2471}{4290}\right)$	$e\left(\frac{1814}{2145}\right)$	$e\left(\frac{83}{715}\right)$	$e\left(\frac{43}{220}\right)$
$\chi_{184041}(49,\cdot)$	184041.rc	4290	yes	$1$	$1$	$e\left(\frac{3571}{4290}\right)$	$e\left(\frac{1426}{2145}\right)$	$e\left(\frac{1849}{4290}\right)$	$e\left(\frac{9}{1430}\right)$	$e\left(\frac{711}{1430}\right)$	$e\left(\frac{113}{429}\right)$	$e\left(\frac{1799}{2145}\right)$	$e\left(\frac{707}{2145}\right)$	$e\left(\frac{1112}{2145}\right)$	$e\left(\frac{241}{330}\right)$
$\chi_{184041}(50,\cdot)$	184041.rz	8580	yes	$-1$	$1$	$e\left(\frac{2657}{8580}\right)$	$e\left(\frac{2657}{4290}\right)$	$e\left(\frac{4283}{8580}\right)$	$e\left(\frac{2423}{2860}\right)$	$e\left(\frac{2657}{2860}\right)$	$e\left(\frac{347}{429}\right)$	$e\left(\frac{673}{4290}\right)$	$e\left(\frac{512}{2145}\right)$	$e\left(\frac{2809}{4290}\right)$	$e\left(\frac{227}{660}\right)$
$\chi_{184041}(53,\cdot)$	184041.pu	1430	no	$-1$	$1$	$e\left(\frac{333}{1430}\right)$	$e\left(\frac{333}{715}\right)$	$e\left(\frac{1047}{1430}\right)$	$e\left(\frac{38}{715}\right)$	$e\left(\frac{999}{1430}\right)$	$e\left(\frac{138}{143}\right)$	$e\left(\frac{409}{1430}\right)$	$e\left(\frac{666}{715}\right)$	$e\left(\frac{37}{1430}\right)$	$e\left(\frac{54}{55}\right)$
$\chi_{184041}(56,\cdot)$	184041.ot	858	yes	$-1$	$1$	$e\left(\frac{413}{429}\right)$	$e\left(\frac{397}{429}\right)$	$e\left(\frac{389}{429}\right)$	$e\left(\frac{215}{286}\right)$	$e\left(\frac{127}{143}\right)$	$e\left(\frac{373}{429}\right)$	$e\left(\frac{613}{858}\right)$	$e\left(\frac{365}{429}\right)$	$e\left(\frac{775}{858}\right)$	$e\left(\frac{25}{66}\right)$
$\chi_{184041}(58,\cdot)$	184041.sl	8580	yes	$-1$	$1$	$e\left(\frac{2173}{2860}\right)$	$e\left(\frac{743}{1430}\right)$	$e\left(\frac{1211}{8580}\right)$	$e\left(\frac{5153}{8580}\right)$	$e\left(\frac{799}{2860}\right)$	$e\left(\frac{773}{858}\right)$	$e\left(\frac{773}{2145}\right)$	$e\left(\frac{28}{715}\right)$	$e\left(\frac{1673}{4290}\right)$	$e\left(\frac{439}{660}\right)$

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Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$ over number fields
Genus 2 curves
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Modulus	$184041$
Structure	\(C_{2}\times C_{6}\times C_{8580}\)
Order	$102960$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(14\)	\(16\)	\(17\)	\(19\)
\(\chi_{184041}(1,\cdot)\)	184041.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{184041}(2,\cdot)\)	184041.si	8580	yes	\(-1\)	\(1\)	\(e\left(\frac{521}{2860}\right)\)	\(e\left(\frac{521}{1430}\right)\)	\(e\left(\frac{4837}{8580}\right)\)	\(e\left(\frac{3571}{8580}\right)\)	\(e\left(\frac{1563}{2860}\right)\)	\(e\left(\frac{320}{429}\right)\)	\(e\left(\frac{2567}{4290}\right)\)	\(e\left(\frac{521}{715}\right)\)	\(e\left(\frac{3781}{4290}\right)\)	\(e\left(\frac{113}{660}\right)\)
\(\chi_{184041}(4,\cdot)\)	184041.rs	4290	yes	\(1\)	\(1\)	\(e\left(\frac{521}{1430}\right)\)	\(e\left(\frac{521}{715}\right)\)	\(e\left(\frac{547}{4290}\right)\)	\(e\left(\frac{3571}{4290}\right)\)	\(e\left(\frac{133}{1430}\right)\)	\(e\left(\frac{211}{429}\right)\)	\(e\left(\frac{422}{2145}\right)\)	\(e\left(\frac{327}{715}\right)\)	\(e\left(\frac{1636}{2145}\right)\)	\(e\left(\frac{113}{330}\right)\)
\(\chi_{184041}(5,\cdot)\)	184041.rw	8580	yes	\(1\)	\(1\)	\(e\left(\frac{4837}{8580}\right)\)	\(e\left(\frac{547}{4290}\right)\)	\(e\left(\frac{4013}{8580}\right)\)	\(e\left(\frac{1849}{8580}\right)\)	\(e\left(\frac{1977}{2860}\right)\)	\(e\left(\frac{9}{286}\right)\)	\(e\left(\frac{3343}{4290}\right)\)	\(e\left(\frac{547}{2145}\right)\)	\(e\left(\frac{634}{715}\right)\)	\(e\left(\frac{129}{220}\right)\)
\(\chi_{184041}(7,\cdot)\)	184041.sa	8580	yes	\(1\)	\(1\)	\(e\left(\frac{3571}{8580}\right)\)	\(e\left(\frac{3571}{4290}\right)\)	\(e\left(\frac{1849}{8580}\right)\)	\(e\left(\frac{1439}{2860}\right)\)	\(e\left(\frac{711}{2860}\right)\)	\(e\left(\frac{271}{429}\right)\)	\(e\left(\frac{1972}{2145}\right)\)	\(e\left(\frac{1426}{2145}\right)\)	\(e\left(\frac{556}{2145}\right)\)	\(e\left(\frac{571}{660}\right)\)
\(\chi_{184041}(8,\cdot)\)	184041.qt	2860	no	\(-1\)	\(1\)	\(e\left(\frac{1563}{2860}\right)\)	\(e\left(\frac{133}{1430}\right)\)	\(e\left(\frac{1977}{2860}\right)\)	\(e\left(\frac{711}{2860}\right)\)	\(e\left(\frac{1829}{2860}\right)\)	\(e\left(\frac{34}{143}\right)\)	\(e\left(\frac{1137}{1430}\right)\)	\(e\left(\frac{133}{715}\right)\)	\(e\left(\frac{921}{1430}\right)\)	\(e\left(\frac{113}{220}\right)\)
\(\chi_{184041}(10,\cdot)\)	184041.or	858	no	\(-1\)	\(1\)	\(e\left(\frac{320}{429}\right)\)	\(e\left(\frac{211}{429}\right)\)	\(e\left(\frac{9}{286}\right)\)	\(e\left(\frac{271}{429}\right)\)	\(e\left(\frac{34}{143}\right)\)	\(e\left(\frac{667}{858}\right)\)	\(e\left(\frac{54}{143}\right)\)	\(e\left(\frac{422}{429}\right)\)	\(e\left(\frac{659}{858}\right)\)	\(e\left(\frac{25}{33}\right)\)
\(\chi_{184041}(14,\cdot)\)	184041.rb	4290	yes	\(-1\)	\(1\)	\(e\left(\frac{2567}{4290}\right)\)	\(e\left(\frac{422}{2145}\right)\)	\(e\left(\frac{3343}{4290}\right)\)	\(e\left(\frac{1972}{2145}\right)\)	\(e\left(\frac{1137}{1430}\right)\)	\(e\left(\frac{54}{143}\right)\)	\(e\left(\frac{2221}{4290}\right)\)	\(e\left(\frac{844}{2145}\right)\)	\(e\left(\frac{201}{1430}\right)\)	\(e\left(\frac{2}{55}\right)\)
\(\chi_{184041}(16,\cdot)\)	184041.qm	2145	yes	\(1\)	\(1\)	\(e\left(\frac{521}{715}\right)\)	\(e\left(\frac{327}{715}\right)\)	\(e\left(\frac{547}{2145}\right)\)	\(e\left(\frac{1426}{2145}\right)\)	\(e\left(\frac{133}{715}\right)\)	\(e\left(\frac{422}{429}\right)\)	\(e\left(\frac{844}{2145}\right)\)	\(e\left(\frac{654}{715}\right)\)	\(e\left(\frac{1127}{2145}\right)\)	\(e\left(\frac{113}{165}\right)\)
\(\chi_{184041}(17,\cdot)\)	184041.qy	4290	no	\(1\)	\(1\)	\(e\left(\frac{3781}{4290}\right)\)	\(e\left(\frac{1636}{2145}\right)\)	\(e\left(\frac{634}{715}\right)\)	\(e\left(\frac{556}{2145}\right)\)	\(e\left(\frac{921}{1430}\right)\)	\(e\left(\frac{659}{858}\right)\)	\(e\left(\frac{201}{1430}\right)\)	\(e\left(\frac{1127}{2145}\right)\)	\(e\left(\frac{2077}{2145}\right)\)	\(e\left(\frac{133}{165}\right)\)
\(\chi_{184041}(19,\cdot)\)	184041.nt	660	no	\(1\)	\(1\)	\(e\left(\frac{113}{660}\right)\)	\(e\left(\frac{113}{330}\right)\)	\(e\left(\frac{129}{220}\right)\)	\(e\left(\frac{571}{660}\right)\)	\(e\left(\frac{113}{220}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{113}{165}\right)\)	\(e\left(\frac{133}{165}\right)\)	\(e\left(\frac{469}{660}\right)\)
\(\chi_{184041}(20,\cdot)\)	184041.sd	8580	yes	\(1\)	\(1\)	\(e\left(\frac{7963}{8580}\right)\)	\(e\left(\frac{3673}{4290}\right)\)	\(e\left(\frac{5107}{8580}\right)\)	\(e\left(\frac{137}{2860}\right)\)	\(e\left(\frac{2243}{2860}\right)\)	\(e\left(\frac{449}{858}\right)\)	\(e\left(\frac{4187}{4290}\right)\)	\(e\left(\frac{1528}{2145}\right)\)	\(e\left(\frac{1393}{2145}\right)\)	\(e\left(\frac{613}{660}\right)\)
\(\chi_{184041}(23,\cdot)\)	184041.gt	66	no	\(-1\)	\(1\)	\(e\left(\frac{10}{33}\right)\)	\(e\left(\frac{20}{33}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{17}{66}\right)\)	\(e\left(\frac{7}{33}\right)\)	\(e\left(\frac{23}{66}\right)\)	\(e\left(\frac{65}{66}\right)\)
\(\chi_{184041}(25,\cdot)\)	184041.ra	4290	yes	\(1\)	\(1\)	\(e\left(\frac{547}{4290}\right)\)	\(e\left(\frac{547}{2145}\right)\)	\(e\left(\frac{4013}{4290}\right)\)	\(e\left(\frac{1849}{4290}\right)\)	\(e\left(\frac{547}{1430}\right)\)	\(e\left(\frac{9}{143}\right)\)	\(e\left(\frac{1198}{2145}\right)\)	\(e\left(\frac{1094}{2145}\right)\)	\(e\left(\frac{553}{715}\right)\)	\(e\left(\frac{19}{110}\right)\)
\(\chi_{184041}(28,\cdot)\)	184041.ry	8580	no	\(1\)	\(1\)	\(e\left(\frac{6697}{8580}\right)\)	\(e\left(\frac{2407}{4290}\right)\)	\(e\left(\frac{981}{2860}\right)\)	\(e\left(\frac{2879}{8580}\right)\)	\(e\left(\frac{977}{2860}\right)\)	\(e\left(\frac{53}{429}\right)\)	\(e\left(\frac{83}{715}\right)\)	\(e\left(\frac{262}{2145}\right)\)	\(e\left(\frac{47}{2145}\right)\)	\(e\left(\frac{137}{660}\right)\)
\(\chi_{184041}(29,\cdot)\)	184041.qu	4290	yes	\(1\)	\(1\)	\(e\left(\frac{413}{715}\right)\)	\(e\left(\frac{111}{715}\right)\)	\(e\left(\frac{2477}{4290}\right)\)	\(e\left(\frac{791}{4290}\right)\)	\(e\left(\frac{524}{715}\right)\)	\(e\left(\frac{133}{858}\right)\)	\(e\left(\frac{3269}{4290}\right)\)	\(e\left(\frac{222}{715}\right)\)	\(e\left(\frac{1091}{2145}\right)\)	\(e\left(\frac{163}{330}\right)\)
\(\chi_{184041}(31,\cdot)\)	184041.rx	8580	yes	\(-1\)	\(1\)	\(e\left(\frac{2143}{8580}\right)\)	\(e\left(\frac{2143}{4290}\right)\)	\(e\left(\frac{6287}{8580}\right)\)	\(e\left(\frac{1801}{8580}\right)\)	\(e\left(\frac{2143}{2860}\right)\)	\(e\left(\frac{281}{286}\right)\)	\(e\left(\frac{986}{2145}\right)\)	\(e\left(\frac{2143}{2145}\right)\)	\(e\left(\frac{1377}{1430}\right)\)	\(e\left(\frac{141}{220}\right)\)
\(\chi_{184041}(32,\cdot)\)	184041.px	1716	yes	\(-1\)	\(1\)	\(e\left(\frac{521}{572}\right)\)	\(e\left(\frac{235}{286}\right)\)	\(e\left(\frac{1405}{1716}\right)\)	\(e\left(\frac{139}{1716}\right)\)	\(e\left(\frac{419}{572}\right)\)	\(e\left(\frac{313}{429}\right)\)	\(e\left(\frac{851}{858}\right)\)	\(e\left(\frac{92}{143}\right)\)	\(e\left(\frac{349}{858}\right)\)	\(e\left(\frac{113}{132}\right)\)
\(\chi_{184041}(34,\cdot)\)	184041.qa	1716	yes	\(-1\)	\(1\)	\(e\left(\frac{109}{1716}\right)\)	\(e\left(\frac{109}{858}\right)\)	\(e\left(\frac{773}{1716}\right)\)	\(e\left(\frac{1159}{1716}\right)\)	\(e\left(\frac{109}{572}\right)\)	\(e\left(\frac{147}{286}\right)\)	\(e\left(\frac{317}{429}\right)\)	\(e\left(\frac{109}{429}\right)\)	\(e\left(\frac{243}{286}\right)\)	\(e\left(\frac{43}{44}\right)\)
\(\chi_{184041}(35,\cdot)\)	184041.rq	4290	no	\(1\)	\(1\)	\(e\left(\frac{2102}{2145}\right)\)	\(e\left(\frac{2059}{2145}\right)\)	\(e\left(\frac{977}{1430}\right)\)	\(e\left(\frac{3083}{4290}\right)\)	\(e\left(\frac{672}{715}\right)\)	\(e\left(\frac{569}{858}\right)\)	\(e\left(\frac{999}{1430}\right)\)	\(e\left(\frac{1973}{2145}\right)\)	\(e\left(\frac{313}{2145}\right)\)	\(e\left(\frac{149}{330}\right)\)
\(\chi_{184041}(37,\cdot)\)	184041.sc	8580	no	\(-1\)	\(1\)	\(e\left(\frac{3001}{8580}\right)\)	\(e\left(\frac{3001}{4290}\right)\)	\(e\left(\frac{2763}{2860}\right)\)	\(e\left(\frac{2087}{8580}\right)\)	\(e\left(\frac{141}{2860}\right)\)	\(e\left(\frac{271}{858}\right)\)	\(e\left(\frac{424}{715}\right)\)	\(e\left(\frac{856}{2145}\right)\)	\(e\left(\frac{127}{4290}\right)\)	\(e\left(\frac{401}{660}\right)\)
\(\chi_{184041}(38,\cdot)\)	184041.ro	4290	yes	\(-1\)	\(1\)	\(e\left(\frac{758}{2145}\right)\)	\(e\left(\frac{1516}{2145}\right)\)	\(e\left(\frac{322}{2145}\right)\)	\(e\left(\frac{1207}{4290}\right)\)	\(e\left(\frac{43}{715}\right)\)	\(e\left(\frac{72}{143}\right)\)	\(e\left(\frac{2723}{4290}\right)\)	\(e\left(\frac{887}{2145}\right)\)	\(e\left(\frac{983}{1430}\right)\)	\(e\left(\frac{97}{110}\right)\)
\(\chi_{184041}(40,\cdot)\)	184041.mn	390	no	\(-1\)	\(1\)	\(e\left(\frac{43}{390}\right)\)	\(e\left(\frac{43}{195}\right)\)	\(e\left(\frac{31}{195}\right)\)	\(e\left(\frac{181}{390}\right)\)	\(e\left(\frac{43}{130}\right)\)	\(e\left(\frac{7}{26}\right)\)	\(e\left(\frac{112}{195}\right)\)	\(e\left(\frac{86}{195}\right)\)	\(e\left(\frac{69}{130}\right)\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{184041}(41,\cdot)\)	184041.rz	8580	yes	\(-1\)	\(1\)	\(e\left(\frac{5039}{8580}\right)\)	\(e\left(\frac{749}{4290}\right)\)	\(e\left(\frac{4661}{8580}\right)\)	\(e\left(\frac{281}{2860}\right)\)	\(e\left(\frac{2179}{2860}\right)\)	\(e\left(\frac{56}{429}\right)\)	\(e\left(\frac{2941}{4290}\right)\)	\(e\left(\frac{749}{2145}\right)\)	\(e\left(\frac{1273}{4290}\right)\)	\(e\left(\frac{509}{660}\right)\)
\(\chi_{184041}(43,\cdot)\)	184041.oy	858	yes	\(-1\)	\(1\)	\(e\left(\frac{290}{429}\right)\)	\(e\left(\frac{151}{429}\right)\)	\(e\left(\frac{163}{858}\right)\)	\(e\left(\frac{134}{143}\right)\)	\(e\left(\frac{4}{143}\right)\)	\(e\left(\frac{743}{858}\right)\)	\(e\left(\frac{263}{429}\right)\)	\(e\left(\frac{302}{429}\right)\)	\(e\left(\frac{271}{858}\right)\)	\(e\left(\frac{23}{33}\right)\)
\(\chi_{184041}(46,\cdot)\)	184041.ry	8580	no	\(1\)	\(1\)	\(e\left(\frac{4163}{8580}\right)\)	\(e\left(\frac{4163}{4290}\right)\)	\(e\left(\frac{919}{2860}\right)\)	\(e\left(\frac{3181}{8580}\right)\)	\(e\left(\frac{1303}{2860}\right)\)	\(e\left(\frac{346}{429}\right)\)	\(e\left(\frac{612}{715}\right)\)	\(e\left(\frac{2018}{2145}\right)\)	\(e\left(\frac{493}{2145}\right)\)	\(e\left(\frac{103}{660}\right)\)
\(\chi_{184041}(47,\cdot)\)	184041.rw	8580	yes	\(1\)	\(1\)	\(e\left(\frac{3959}{8580}\right)\)	\(e\left(\frac{3959}{4290}\right)\)	\(e\left(\frac{3391}{8580}\right)\)	\(e\left(\frac{983}{8580}\right)\)	\(e\left(\frac{1099}{2860}\right)\)	\(e\left(\frac{245}{286}\right)\)	\(e\left(\frac{2471}{4290}\right)\)	\(e\left(\frac{1814}{2145}\right)\)	\(e\left(\frac{83}{715}\right)\)	\(e\left(\frac{43}{220}\right)\)
\(\chi_{184041}(49,\cdot)\)	184041.rc	4290	yes	\(1\)	\(1\)	\(e\left(\frac{3571}{4290}\right)\)	\(e\left(\frac{1426}{2145}\right)\)	\(e\left(\frac{1849}{4290}\right)\)	\(e\left(\frac{9}{1430}\right)\)	\(e\left(\frac{711}{1430}\right)\)	\(e\left(\frac{113}{429}\right)\)	\(e\left(\frac{1799}{2145}\right)\)	\(e\left(\frac{707}{2145}\right)\)	\(e\left(\frac{1112}{2145}\right)\)	\(e\left(\frac{241}{330}\right)\)
\(\chi_{184041}(50,\cdot)\)	184041.rz	8580	yes	\(-1\)	\(1\)	\(e\left(\frac{2657}{8580}\right)\)	\(e\left(\frac{2657}{4290}\right)\)	\(e\left(\frac{4283}{8580}\right)\)	\(e\left(\frac{2423}{2860}\right)\)	\(e\left(\frac{2657}{2860}\right)\)	\(e\left(\frac{347}{429}\right)\)	\(e\left(\frac{673}{4290}\right)\)	\(e\left(\frac{512}{2145}\right)\)	\(e\left(\frac{2809}{4290}\right)\)	\(e\left(\frac{227}{660}\right)\)
\(\chi_{184041}(53,\cdot)\)	184041.pu	1430	no	\(-1\)	\(1\)	\(e\left(\frac{333}{1430}\right)\)	\(e\left(\frac{333}{715}\right)\)	\(e\left(\frac{1047}{1430}\right)\)	\(e\left(\frac{38}{715}\right)\)	\(e\left(\frac{999}{1430}\right)\)	\(e\left(\frac{138}{143}\right)\)	\(e\left(\frac{409}{1430}\right)\)	\(e\left(\frac{666}{715}\right)\)	\(e\left(\frac{37}{1430}\right)\)	\(e\left(\frac{54}{55}\right)\)
\(\chi_{184041}(56,\cdot)\)	184041.ot	858	yes	\(-1\)	\(1\)	\(e\left(\frac{413}{429}\right)\)	\(e\left(\frac{397}{429}\right)\)	\(e\left(\frac{389}{429}\right)\)	\(e\left(\frac{215}{286}\right)\)	\(e\left(\frac{127}{143}\right)\)	\(e\left(\frac{373}{429}\right)\)	\(e\left(\frac{613}{858}\right)\)	\(e\left(\frac{365}{429}\right)\)	\(e\left(\frac{775}{858}\right)\)	\(e\left(\frac{25}{66}\right)\)
\(\chi_{184041}(58,\cdot)\)	184041.sl	8580	yes	\(-1\)	\(1\)	\(e\left(\frac{2173}{2860}\right)\)	\(e\left(\frac{743}{1430}\right)\)	\(e\left(\frac{1211}{8580}\right)\)	\(e\left(\frac{5153}{8580}\right)\)	\(e\left(\frac{799}{2860}\right)\)	\(e\left(\frac{773}{858}\right)\)	\(e\left(\frac{773}{2145}\right)\)	\(e\left(\frac{28}{715}\right)\)	\(e\left(\frac{1673}{4290}\right)\)	\(e\left(\frac{439}{660}\right)\)

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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.