LMFDB - Group of Dirichlet characters of modulus 46208

Show commands: PariGP / SageMath

sage: H = DirichletGroup(46208)

pari: g = idealstar(,46208,2)

Character group

sage: G.order() pari: g.no
Order	=	21888
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{5472}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{46208}(28159,\cdot)$, $\chi_{46208}(36101,\cdot)$, $\chi_{46208}(14081,\cdot)$

First 32 of 21888 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	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$21$	$23$
$\chi_{46208}(1,\cdot)$	46208.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{46208}(3,\cdot)$	46208.fm	5472	yes	$1$	$1$	$e\left(\frac{1507}{5472}\right)$	$e\left(\frac{2113}{5472}\right)$	$e\left(\frac{367}{912}\right)$	$e\left(\frac{1507}{2736}\right)$	$e\left(\frac{1687}{1824}\right)$	$e\left(\frac{671}{5472}\right)$	$e\left(\frac{905}{1368}\right)$	$e\left(\frac{655}{1368}\right)$	$e\left(\frac{3709}{5472}\right)$	$e\left(\frac{415}{2736}\right)$
$\chi_{46208}(5,\cdot)$	46208.fl	5472	yes	$1$	$1$	$e\left(\frac{2113}{5472}\right)$	$e\left(\frac{2251}{5472}\right)$	$e\left(\frac{61}{912}\right)$	$e\left(\frac{2113}{2736}\right)$	$e\left(\frac{1549}{1824}\right)$	$e\left(\frac{3557}{5472}\right)$	$e\left(\frac{1091}{1368}\right)$	$e\left(\frac{253}{1368}\right)$	$e\left(\frac{2479}{5472}\right)$	$e\left(\frac{1309}{2736}\right)$
$\chi_{46208}(7,\cdot)$	46208.eu	912	no	$-1$	$1$	$e\left(\frac{367}{912}\right)$	$e\left(\frac{61}{912}\right)$	$e\left(\frac{63}{152}\right)$	$e\left(\frac{367}{456}\right)$	$e\left(\frac{243}{304}\right)$	$e\left(\frac{899}{912}\right)$	$e\left(\frac{107}{228}\right)$	$e\left(\frac{199}{228}\right)$	$e\left(\frac{745}{912}\right)$	$e\left(\frac{415}{456}\right)$
$\chi_{46208}(9,\cdot)$	46208.fh	2736	no	$1$	$1$	$e\left(\frac{1507}{2736}\right)$	$e\left(\frac{2113}{2736}\right)$	$e\left(\frac{367}{456}\right)$	$e\left(\frac{139}{1368}\right)$	$e\left(\frac{775}{912}\right)$	$e\left(\frac{671}{2736}\right)$	$e\left(\frac{221}{684}\right)$	$e\left(\frac{655}{684}\right)$	$e\left(\frac{973}{2736}\right)$	$e\left(\frac{415}{1368}\right)$
$\chi_{46208}(11,\cdot)$	46208.ff	1824	yes	$-1$	$1$	$e\left(\frac{1687}{1824}\right)$	$e\left(\frac{1549}{1824}\right)$	$e\left(\frac{243}{304}\right)$	$e\left(\frac{775}{912}\right)$	$e\left(\frac{427}{608}\right)$	$e\left(\frac{1763}{1824}\right)$	$e\left(\frac{353}{456}\right)$	$e\left(\frac{355}{456}\right)$	$e\left(\frac{1321}{1824}\right)$	$e\left(\frac{211}{912}\right)$
$\chi_{46208}(13,\cdot)$	46208.fn	5472	yes	$-1$	$1$	$e\left(\frac{671}{5472}\right)$	$e\left(\frac{3557}{5472}\right)$	$e\left(\frac{899}{912}\right)$	$e\left(\frac{671}{2736}\right)$	$e\left(\frac{1763}{1824}\right)$	$e\left(\frac{2875}{5472}\right)$	$e\left(\frac{1057}{1368}\right)$	$e\left(\frac{731}{1368}\right)$	$e\left(\frac{593}{5472}\right)$	$e\left(\frac{35}{2736}\right)$
$\chi_{46208}(15,\cdot)$	46208.fa	1368	no	$1$	$1$	$e\left(\frac{905}{1368}\right)$	$e\left(\frac{1091}{1368}\right)$	$e\left(\frac{107}{228}\right)$	$e\left(\frac{221}{684}\right)$	$e\left(\frac{353}{456}\right)$	$e\left(\frac{1057}{1368}\right)$	$e\left(\frac{157}{342}\right)$	$e\left(\frac{227}{342}\right)$	$e\left(\frac{179}{1368}\right)$	$e\left(\frac{431}{684}\right)$
$\chi_{46208}(17,\cdot)$	46208.fb	1368	no	$1$	$1$	$e\left(\frac{655}{1368}\right)$	$e\left(\frac{253}{1368}\right)$	$e\left(\frac{199}{228}\right)$	$e\left(\frac{655}{684}\right)$	$e\left(\frac{355}{456}\right)$	$e\left(\frac{731}{1368}\right)$	$e\left(\frac{227}{342}\right)$	$e\left(\frac{289}{342}\right)$	$e\left(\frac{481}{1368}\right)$	$e\left(\frac{499}{684}\right)$
$\chi_{46208}(21,\cdot)$	46208.fn	5472	yes	$-1$	$1$	$e\left(\frac{3709}{5472}\right)$	$e\left(\frac{2479}{5472}\right)$	$e\left(\frac{745}{912}\right)$	$e\left(\frac{973}{2736}\right)$	$e\left(\frac{1321}{1824}\right)$	$e\left(\frac{593}{5472}\right)$	$e\left(\frac{179}{1368}\right)$	$e\left(\frac{481}{1368}\right)$	$e\left(\frac{2707}{5472}\right)$	$e\left(\frac{169}{2736}\right)$
$\chi_{46208}(23,\cdot)$	46208.fj	2736	no	$-1$	$1$	$e\left(\frac{415}{2736}\right)$	$e\left(\frac{1309}{2736}\right)$	$e\left(\frac{415}{456}\right)$	$e\left(\frac{415}{1368}\right)$	$e\left(\frac{211}{912}\right)$	$e\left(\frac{35}{2736}\right)$	$e\left(\frac{431}{684}\right)$	$e\left(\frac{499}{684}\right)$	$e\left(\frac{169}{2736}\right)$	$e\left(\frac{1303}{1368}\right)$
$\chi_{46208}(25,\cdot)$	46208.fh	2736	no	$1$	$1$	$e\left(\frac{2113}{2736}\right)$	$e\left(\frac{2251}{2736}\right)$	$e\left(\frac{61}{456}\right)$	$e\left(\frac{745}{1368}\right)$	$e\left(\frac{637}{912}\right)$	$e\left(\frac{821}{2736}\right)$	$e\left(\frac{407}{684}\right)$	$e\left(\frac{253}{684}\right)$	$e\left(\frac{2479}{2736}\right)$	$e\left(\frac{1309}{1368}\right)$
$\chi_{46208}(27,\cdot)$	46208.fe	1824	yes	$1$	$1$	$e\left(\frac{1507}{1824}\right)$	$e\left(\frac{289}{1824}\right)$	$e\left(\frac{63}{304}\right)$	$e\left(\frac{595}{912}\right)$	$e\left(\frac{471}{608}\right)$	$e\left(\frac{671}{1824}\right)$	$e\left(\frac{449}{456}\right)$	$e\left(\frac{199}{456}\right)$	$e\left(\frac{61}{1824}\right)$	$e\left(\frac{415}{912}\right)$
$\chi_{46208}(29,\cdot)$	46208.fn	5472	yes	$-1$	$1$	$e\left(\frac{2411}{5472}\right)$	$e\left(\frac{2057}{5472}\right)$	$e\left(\frac{815}{912}\right)$	$e\left(\frac{2411}{2736}\right)$	$e\left(\frac{1439}{1824}\right)$	$e\left(\frac{55}{5472}\right)$	$e\left(\frac{1117}{1368}\right)$	$e\left(\frac{1175}{1368}\right)$	$e\left(\frac{1829}{5472}\right)$	$e\left(\frac{191}{2736}\right)$
$\chi_{46208}(31,\cdot)$	46208.dq	228	no	$1$	$1$	$e\left(\frac{91}{228}\right)$	$e\left(\frac{181}{228}\right)$	$e\left(\frac{17}{19}\right)$	$e\left(\frac{91}{114}\right)$	$e\left(\frac{9}{76}\right)$	$e\left(\frac{53}{228}\right)$	$e\left(\frac{11}{57}\right)$	$e\left(\frac{13}{57}\right)$	$e\left(\frac{67}{228}\right)$	$e\left(\frac{20}{57}\right)$
$\chi_{46208}(33,\cdot)$	46208.eq	684	no	$-1$	$1$	$e\left(\frac{137}{684}\right)$	$e\left(\frac{161}{684}\right)$	$e\left(\frac{23}{114}\right)$	$e\left(\frac{137}{342}\right)$	$e\left(\frac{143}{228}\right)$	$e\left(\frac{61}{684}\right)$	$e\left(\frac{149}{342}\right)$	$e\left(\frac{44}{171}\right)$	$e\left(\frac{275}{684}\right)$	$e\left(\frac{131}{342}\right)$
$\chi_{46208}(35,\cdot)$	46208.fk	5472	yes	$-1$	$1$	$e\left(\frac{4315}{5472}\right)$	$e\left(\frac{2617}{5472}\right)$	$e\left(\frac{439}{912}\right)$	$e\left(\frac{1579}{2736}\right)$	$e\left(\frac{1183}{1824}\right)$	$e\left(\frac{3479}{5472}\right)$	$e\left(\frac{365}{1368}\right)$	$e\left(\frac{79}{1368}\right)$	$e\left(\frac{1477}{5472}\right)$	$e\left(\frac{1063}{2736}\right)$
$\chi_{46208}(37,\cdot)$	46208.eo	608	yes	$-1$	$1$	$e\left(\frac{385}{608}\right)$	$e\left(\frac{187}{608}\right)$	$e\left(\frac{167}{304}\right)$	$e\left(\frac{81}{304}\right)$	$e\left(\frac{503}{608}\right)$	$e\left(\frac{5}{608}\right)$	$e\left(\frac{143}{152}\right)$	$e\left(\frac{93}{152}\right)$	$e\left(\frac{111}{608}\right)$	$e\left(\frac{45}{304}\right)$
$\chi_{46208}(39,\cdot)$	46208.dy	304	no	$-1$	$1$	$e\left(\frac{121}{304}\right)$	$e\left(\frac{11}{304}\right)$	$e\left(\frac{59}{152}\right)$	$e\left(\frac{121}{152}\right)$	$e\left(\frac{271}{304}\right)$	$e\left(\frac{197}{304}\right)$	$e\left(\frac{33}{76}\right)$	$e\left(\frac{1}{76}\right)$	$e\left(\frac{239}{304}\right)$	$e\left(\frac{25}{152}\right)$
$\chi_{46208}(41,\cdot)$	46208.fi	2736	no	$-1$	$1$	$e\left(\frac{119}{2736}\right)$	$e\left(\frac{1061}{2736}\right)$	$e\left(\frac{347}{456}\right)$	$e\left(\frac{119}{1368}\right)$	$e\left(\frac{611}{912}\right)$	$e\left(\frac{1411}{2736}\right)$	$e\left(\frac{295}{684}\right)$	$e\left(\frac{359}{684}\right)$	$e\left(\frac{2201}{2736}\right)$	$e\left(\frac{995}{1368}\right)$
$\chi_{46208}(43,\cdot)$	46208.fk	5472	yes	$-1$	$1$	$e\left(\frac{1933}{5472}\right)$	$e\left(\frac{991}{5472}\right)$	$e\left(\frac{337}{912}\right)$	$e\left(\frac{1933}{2736}\right)$	$e\left(\frac{73}{1824}\right)$	$e\left(\frac{3377}{5472}\right)$	$e\left(\frac{731}{1368}\right)$	$e\left(\frac{1009}{1368}\right)$	$e\left(\frac{3955}{5472}\right)$	$e\left(\frac{1057}{2736}\right)$
$\chi_{46208}(45,\cdot)$	46208.fd	1824	yes	$1$	$1$	$e\left(\frac{1709}{1824}\right)$	$e\left(\frac{335}{1824}\right)$	$e\left(\frac{265}{304}\right)$	$e\left(\frac{797}{912}\right)$	$e\left(\frac{425}{608}\right)$	$e\left(\frac{1633}{1824}\right)$	$e\left(\frac{55}{456}\right)$	$e\left(\frac{65}{456}\right)$	$e\left(\frac{1475}{1824}\right)$	$e\left(\frac{713}{912}\right)$
$\chi_{46208}(47,\cdot)$	46208.ez	1368	no	$-1$	$1$	$e\left(\frac{263}{1368}\right)$	$e\left(\frac{17}{1368}\right)$	$e\left(\frac{149}{228}\right)$	$e\left(\frac{263}{684}\right)$	$e\left(\frac{59}{456}\right)$	$e\left(\frac{871}{1368}\right)$	$e\left(\frac{35}{171}\right)$	$e\left(\frac{233}{342}\right)$	$e\left(\frac{1157}{1368}\right)$	$e\left(\frac{581}{684}\right)$
$\chi_{46208}(49,\cdot)$	46208.ej	456	no	$1$	$1$	$e\left(\frac{367}{456}\right)$	$e\left(\frac{61}{456}\right)$	$e\left(\frac{63}{76}\right)$	$e\left(\frac{139}{228}\right)$	$e\left(\frac{91}{152}\right)$	$e\left(\frac{443}{456}\right)$	$e\left(\frac{107}{114}\right)$	$e\left(\frac{85}{114}\right)$	$e\left(\frac{289}{456}\right)$	$e\left(\frac{187}{228}\right)$
$\chi_{46208}(51,\cdot)$	46208.fm	5472	yes	$1$	$1$	$e\left(\frac{4127}{5472}\right)$	$e\left(\frac{3125}{5472}\right)$	$e\left(\frac{251}{912}\right)$	$e\left(\frac{1391}{2736}\right)$	$e\left(\frac{1283}{1824}\right)$	$e\left(\frac{3595}{5472}\right)$	$e\left(\frac{445}{1368}\right)$	$e\left(\frac{443}{1368}\right)$	$e\left(\frac{161}{5472}\right)$	$e\left(\frac{2411}{2736}\right)$
$\chi_{46208}(53,\cdot)$	46208.fn	5472	yes	$-1$	$1$	$e\left(\frac{1109}{5472}\right)$	$e\left(\frac{2519}{5472}\right)$	$e\left(\frac{881}{912}\right)$	$e\left(\frac{1109}{2736}\right)$	$e\left(\frac{65}{1824}\right)$	$e\left(\frac{1033}{5472}\right)$	$e\left(\frac{907}{1368}\right)$	$e\left(\frac{305}{1368}\right)$	$e\left(\frac{923}{5472}\right)$	$e\left(\frac{1697}{2736}\right)$
$\chi_{46208}(55,\cdot)$	46208.fj	2736	no	$-1$	$1$	$e\left(\frac{851}{2736}\right)$	$e\left(\frac{713}{2736}\right)$	$e\left(\frac{395}{456}\right)$	$e\left(\frac{851}{1368}\right)$	$e\left(\frac{503}{912}\right)$	$e\left(\frac{1687}{2736}\right)$	$e\left(\frac{391}{684}\right)$	$e\left(\frac{659}{684}\right)$	$e\left(\frac{485}{2736}\right)$	$e\left(\frac{971}{1368}\right)$
$\chi_{46208}(59,\cdot)$	46208.fm	5472	yes	$1$	$1$	$e\left(\frac{3601}{5472}\right)$	$e\left(\frac{1723}{5472}\right)$	$e\left(\frac{181}{912}\right)$	$e\left(\frac{865}{2736}\right)$	$e\left(\frac{1165}{1824}\right)$	$e\left(\frac{485}{5472}\right)$	$e\left(\frac{1331}{1368}\right)$	$e\left(\frac{661}{1368}\right)$	$e\left(\frac{4687}{5472}\right)$	$e\left(\frac{565}{2736}\right)$
$\chi_{46208}(61,\cdot)$	46208.fl	5472	yes	$1$	$1$	$e\left(\frac{947}{5472}\right)$	$e\left(\frac{17}{5472}\right)$	$e\left(\frac{263}{912}\right)$	$e\left(\frac{947}{2736}\right)$	$e\left(\frac{1655}{1824}\right)$	$e\left(\frac{2239}{5472}\right)$	$e\left(\frac{241}{1368}\right)$	$e\left(\frac{575}{1368}\right)$	$e\left(\frac{2525}{5472}\right)$	$e\left(\frac{1607}{2736}\right)$
$\chi_{46208}(63,\cdot)$	46208.ee	342	no	$-1$	$1$	$e\left(\frac{163}{171}\right)$	$e\left(\frac{287}{342}\right)$	$e\left(\frac{25}{114}\right)$	$e\left(\frac{155}{171}\right)$	$e\left(\frac{37}{57}\right)$	$e\left(\frac{79}{342}\right)$	$e\left(\frac{271}{342}\right)$	$e\left(\frac{142}{171}\right)$	$e\left(\frac{59}{342}\right)$	$e\left(\frac{73}{342}\right)$
$\chi_{46208}(65,\cdot)$	46208.dd	114	no	$-1$	$1$	$e\left(\frac{29}{57}\right)$	$e\left(\frac{7}{114}\right)$	$e\left(\frac{1}{19}\right)$	$e\left(\frac{1}{57}\right)$	$e\left(\frac{31}{38}\right)$	$e\left(\frac{10}{57}\right)$	$e\left(\frac{65}{114}\right)$	$e\left(\frac{41}{57}\right)$	$e\left(\frac{32}{57}\right)$	$e\left(\frac{28}{57}\right)$
$\chi_{46208}(67,\cdot)$	46208.fm	5472	yes	$1$	$1$	$e\left(\frac{3347}{5472}\right)$	$e\left(\frac{401}{5472}\right)$	$e\left(\frac{383}{912}\right)$	$e\left(\frac{611}{2736}\right)$	$e\left(\frac{359}{1824}\right)$	$e\left(\frac{3727}{5472}\right)$	$e\left(\frac{937}{1368}\right)$	$e\left(\frac{527}{1368}\right)$	$e\left(\frac{173}{5472}\right)$	$e\left(\frac{1775}{2736}\right)$

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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	$46208$
Structure	\(C_{2}\times C_{2}\times C_{5472}\)
Order	$21888$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(21\)	\(23\)
\(\chi_{46208}(1,\cdot)\)	46208.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{46208}(3,\cdot)\)	46208.fm	5472	yes	\(1\)	\(1\)	\(e\left(\frac{1507}{5472}\right)\)	\(e\left(\frac{2113}{5472}\right)\)	\(e\left(\frac{367}{912}\right)\)	\(e\left(\frac{1507}{2736}\right)\)	\(e\left(\frac{1687}{1824}\right)\)	\(e\left(\frac{671}{5472}\right)\)	\(e\left(\frac{905}{1368}\right)\)	\(e\left(\frac{655}{1368}\right)\)	\(e\left(\frac{3709}{5472}\right)\)	\(e\left(\frac{415}{2736}\right)\)
\(\chi_{46208}(5,\cdot)\)	46208.fl	5472	yes	\(1\)	\(1\)	\(e\left(\frac{2113}{5472}\right)\)	\(e\left(\frac{2251}{5472}\right)\)	\(e\left(\frac{61}{912}\right)\)	\(e\left(\frac{2113}{2736}\right)\)	\(e\left(\frac{1549}{1824}\right)\)	\(e\left(\frac{3557}{5472}\right)\)	\(e\left(\frac{1091}{1368}\right)\)	\(e\left(\frac{253}{1368}\right)\)	\(e\left(\frac{2479}{5472}\right)\)	\(e\left(\frac{1309}{2736}\right)\)
\(\chi_{46208}(7,\cdot)\)	46208.eu	912	no	\(-1\)	\(1\)	\(e\left(\frac{367}{912}\right)\)	\(e\left(\frac{61}{912}\right)\)	\(e\left(\frac{63}{152}\right)\)	\(e\left(\frac{367}{456}\right)\)	\(e\left(\frac{243}{304}\right)\)	\(e\left(\frac{899}{912}\right)\)	\(e\left(\frac{107}{228}\right)\)	\(e\left(\frac{199}{228}\right)\)	\(e\left(\frac{745}{912}\right)\)	\(e\left(\frac{415}{456}\right)\)
\(\chi_{46208}(9,\cdot)\)	46208.fh	2736	no	\(1\)	\(1\)	\(e\left(\frac{1507}{2736}\right)\)	\(e\left(\frac{2113}{2736}\right)\)	\(e\left(\frac{367}{456}\right)\)	\(e\left(\frac{139}{1368}\right)\)	\(e\left(\frac{775}{912}\right)\)	\(e\left(\frac{671}{2736}\right)\)	\(e\left(\frac{221}{684}\right)\)	\(e\left(\frac{655}{684}\right)\)	\(e\left(\frac{973}{2736}\right)\)	\(e\left(\frac{415}{1368}\right)\)
\(\chi_{46208}(11,\cdot)\)	46208.ff	1824	yes	\(-1\)	\(1\)	\(e\left(\frac{1687}{1824}\right)\)	\(e\left(\frac{1549}{1824}\right)\)	\(e\left(\frac{243}{304}\right)\)	\(e\left(\frac{775}{912}\right)\)	\(e\left(\frac{427}{608}\right)\)	\(e\left(\frac{1763}{1824}\right)\)	\(e\left(\frac{353}{456}\right)\)	\(e\left(\frac{355}{456}\right)\)	\(e\left(\frac{1321}{1824}\right)\)	\(e\left(\frac{211}{912}\right)\)
\(\chi_{46208}(13,\cdot)\)	46208.fn	5472	yes	\(-1\)	\(1\)	\(e\left(\frac{671}{5472}\right)\)	\(e\left(\frac{3557}{5472}\right)\)	\(e\left(\frac{899}{912}\right)\)	\(e\left(\frac{671}{2736}\right)\)	\(e\left(\frac{1763}{1824}\right)\)	\(e\left(\frac{2875}{5472}\right)\)	\(e\left(\frac{1057}{1368}\right)\)	\(e\left(\frac{731}{1368}\right)\)	\(e\left(\frac{593}{5472}\right)\)	\(e\left(\frac{35}{2736}\right)\)
\(\chi_{46208}(15,\cdot)\)	46208.fa	1368	no	\(1\)	\(1\)	\(e\left(\frac{905}{1368}\right)\)	\(e\left(\frac{1091}{1368}\right)\)	\(e\left(\frac{107}{228}\right)\)	\(e\left(\frac{221}{684}\right)\)	\(e\left(\frac{353}{456}\right)\)	\(e\left(\frac{1057}{1368}\right)\)	\(e\left(\frac{157}{342}\right)\)	\(e\left(\frac{227}{342}\right)\)	\(e\left(\frac{179}{1368}\right)\)	\(e\left(\frac{431}{684}\right)\)
\(\chi_{46208}(17,\cdot)\)	46208.fb	1368	no	\(1\)	\(1\)	\(e\left(\frac{655}{1368}\right)\)	\(e\left(\frac{253}{1368}\right)\)	\(e\left(\frac{199}{228}\right)\)	\(e\left(\frac{655}{684}\right)\)	\(e\left(\frac{355}{456}\right)\)	\(e\left(\frac{731}{1368}\right)\)	\(e\left(\frac{227}{342}\right)\)	\(e\left(\frac{289}{342}\right)\)	\(e\left(\frac{481}{1368}\right)\)	\(e\left(\frac{499}{684}\right)\)
\(\chi_{46208}(21,\cdot)\)	46208.fn	5472	yes	\(-1\)	\(1\)	\(e\left(\frac{3709}{5472}\right)\)	\(e\left(\frac{2479}{5472}\right)\)	\(e\left(\frac{745}{912}\right)\)	\(e\left(\frac{973}{2736}\right)\)	\(e\left(\frac{1321}{1824}\right)\)	\(e\left(\frac{593}{5472}\right)\)	\(e\left(\frac{179}{1368}\right)\)	\(e\left(\frac{481}{1368}\right)\)	\(e\left(\frac{2707}{5472}\right)\)	\(e\left(\frac{169}{2736}\right)\)
\(\chi_{46208}(23,\cdot)\)	46208.fj	2736	no	\(-1\)	\(1\)	\(e\left(\frac{415}{2736}\right)\)	\(e\left(\frac{1309}{2736}\right)\)	\(e\left(\frac{415}{456}\right)\)	\(e\left(\frac{415}{1368}\right)\)	\(e\left(\frac{211}{912}\right)\)	\(e\left(\frac{35}{2736}\right)\)	\(e\left(\frac{431}{684}\right)\)	\(e\left(\frac{499}{684}\right)\)	\(e\left(\frac{169}{2736}\right)\)	\(e\left(\frac{1303}{1368}\right)\)
\(\chi_{46208}(25,\cdot)\)	46208.fh	2736	no	\(1\)	\(1\)	\(e\left(\frac{2113}{2736}\right)\)	\(e\left(\frac{2251}{2736}\right)\)	\(e\left(\frac{61}{456}\right)\)	\(e\left(\frac{745}{1368}\right)\)	\(e\left(\frac{637}{912}\right)\)	\(e\left(\frac{821}{2736}\right)\)	\(e\left(\frac{407}{684}\right)\)	\(e\left(\frac{253}{684}\right)\)	\(e\left(\frac{2479}{2736}\right)\)	\(e\left(\frac{1309}{1368}\right)\)
\(\chi_{46208}(27,\cdot)\)	46208.fe	1824	yes	\(1\)	\(1\)	\(e\left(\frac{1507}{1824}\right)\)	\(e\left(\frac{289}{1824}\right)\)	\(e\left(\frac{63}{304}\right)\)	\(e\left(\frac{595}{912}\right)\)	\(e\left(\frac{471}{608}\right)\)	\(e\left(\frac{671}{1824}\right)\)	\(e\left(\frac{449}{456}\right)\)	\(e\left(\frac{199}{456}\right)\)	\(e\left(\frac{61}{1824}\right)\)	\(e\left(\frac{415}{912}\right)\)
\(\chi_{46208}(29,\cdot)\)	46208.fn	5472	yes	\(-1\)	\(1\)	\(e\left(\frac{2411}{5472}\right)\)	\(e\left(\frac{2057}{5472}\right)\)	\(e\left(\frac{815}{912}\right)\)	\(e\left(\frac{2411}{2736}\right)\)	\(e\left(\frac{1439}{1824}\right)\)	\(e\left(\frac{55}{5472}\right)\)	\(e\left(\frac{1117}{1368}\right)\)	\(e\left(\frac{1175}{1368}\right)\)	\(e\left(\frac{1829}{5472}\right)\)	\(e\left(\frac{191}{2736}\right)\)
\(\chi_{46208}(31,\cdot)\)	46208.dq	228	no	\(1\)	\(1\)	\(e\left(\frac{91}{228}\right)\)	\(e\left(\frac{181}{228}\right)\)	\(e\left(\frac{17}{19}\right)\)	\(e\left(\frac{91}{114}\right)\)	\(e\left(\frac{9}{76}\right)\)	\(e\left(\frac{53}{228}\right)\)	\(e\left(\frac{11}{57}\right)\)	\(e\left(\frac{13}{57}\right)\)	\(e\left(\frac{67}{228}\right)\)	\(e\left(\frac{20}{57}\right)\)
\(\chi_{46208}(33,\cdot)\)	46208.eq	684	no	\(-1\)	\(1\)	\(e\left(\frac{137}{684}\right)\)	\(e\left(\frac{161}{684}\right)\)	\(e\left(\frac{23}{114}\right)\)	\(e\left(\frac{137}{342}\right)\)	\(e\left(\frac{143}{228}\right)\)	\(e\left(\frac{61}{684}\right)\)	\(e\left(\frac{149}{342}\right)\)	\(e\left(\frac{44}{171}\right)\)	\(e\left(\frac{275}{684}\right)\)	\(e\left(\frac{131}{342}\right)\)
\(\chi_{46208}(35,\cdot)\)	46208.fk	5472	yes	\(-1\)	\(1\)	\(e\left(\frac{4315}{5472}\right)\)	\(e\left(\frac{2617}{5472}\right)\)	\(e\left(\frac{439}{912}\right)\)	\(e\left(\frac{1579}{2736}\right)\)	\(e\left(\frac{1183}{1824}\right)\)	\(e\left(\frac{3479}{5472}\right)\)	\(e\left(\frac{365}{1368}\right)\)	\(e\left(\frac{79}{1368}\right)\)	\(e\left(\frac{1477}{5472}\right)\)	\(e\left(\frac{1063}{2736}\right)\)
\(\chi_{46208}(37,\cdot)\)	46208.eo	608	yes	\(-1\)	\(1\)	\(e\left(\frac{385}{608}\right)\)	\(e\left(\frac{187}{608}\right)\)	\(e\left(\frac{167}{304}\right)\)	\(e\left(\frac{81}{304}\right)\)	\(e\left(\frac{503}{608}\right)\)	\(e\left(\frac{5}{608}\right)\)	\(e\left(\frac{143}{152}\right)\)	\(e\left(\frac{93}{152}\right)\)	\(e\left(\frac{111}{608}\right)\)	\(e\left(\frac{45}{304}\right)\)
\(\chi_{46208}(39,\cdot)\)	46208.dy	304	no	\(-1\)	\(1\)	\(e\left(\frac{121}{304}\right)\)	\(e\left(\frac{11}{304}\right)\)	\(e\left(\frac{59}{152}\right)\)	\(e\left(\frac{121}{152}\right)\)	\(e\left(\frac{271}{304}\right)\)	\(e\left(\frac{197}{304}\right)\)	\(e\left(\frac{33}{76}\right)\)	\(e\left(\frac{1}{76}\right)\)	\(e\left(\frac{239}{304}\right)\)	\(e\left(\frac{25}{152}\right)\)
\(\chi_{46208}(41,\cdot)\)	46208.fi	2736	no	\(-1\)	\(1\)	\(e\left(\frac{119}{2736}\right)\)	\(e\left(\frac{1061}{2736}\right)\)	\(e\left(\frac{347}{456}\right)\)	\(e\left(\frac{119}{1368}\right)\)	\(e\left(\frac{611}{912}\right)\)	\(e\left(\frac{1411}{2736}\right)\)	\(e\left(\frac{295}{684}\right)\)	\(e\left(\frac{359}{684}\right)\)	\(e\left(\frac{2201}{2736}\right)\)	\(e\left(\frac{995}{1368}\right)\)
\(\chi_{46208}(43,\cdot)\)	46208.fk	5472	yes	\(-1\)	\(1\)	\(e\left(\frac{1933}{5472}\right)\)	\(e\left(\frac{991}{5472}\right)\)	\(e\left(\frac{337}{912}\right)\)	\(e\left(\frac{1933}{2736}\right)\)	\(e\left(\frac{73}{1824}\right)\)	\(e\left(\frac{3377}{5472}\right)\)	\(e\left(\frac{731}{1368}\right)\)	\(e\left(\frac{1009}{1368}\right)\)	\(e\left(\frac{3955}{5472}\right)\)	\(e\left(\frac{1057}{2736}\right)\)
\(\chi_{46208}(45,\cdot)\)	46208.fd	1824	yes	\(1\)	\(1\)	\(e\left(\frac{1709}{1824}\right)\)	\(e\left(\frac{335}{1824}\right)\)	\(e\left(\frac{265}{304}\right)\)	\(e\left(\frac{797}{912}\right)\)	\(e\left(\frac{425}{608}\right)\)	\(e\left(\frac{1633}{1824}\right)\)	\(e\left(\frac{55}{456}\right)\)	\(e\left(\frac{65}{456}\right)\)	\(e\left(\frac{1475}{1824}\right)\)	\(e\left(\frac{713}{912}\right)\)
\(\chi_{46208}(47,\cdot)\)	46208.ez	1368	no	\(-1\)	\(1\)	\(e\left(\frac{263}{1368}\right)\)	\(e\left(\frac{17}{1368}\right)\)	\(e\left(\frac{149}{228}\right)\)	\(e\left(\frac{263}{684}\right)\)	\(e\left(\frac{59}{456}\right)\)	\(e\left(\frac{871}{1368}\right)\)	\(e\left(\frac{35}{171}\right)\)	\(e\left(\frac{233}{342}\right)\)	\(e\left(\frac{1157}{1368}\right)\)	\(e\left(\frac{581}{684}\right)\)
\(\chi_{46208}(49,\cdot)\)	46208.ej	456	no	\(1\)	\(1\)	\(e\left(\frac{367}{456}\right)\)	\(e\left(\frac{61}{456}\right)\)	\(e\left(\frac{63}{76}\right)\)	\(e\left(\frac{139}{228}\right)\)	\(e\left(\frac{91}{152}\right)\)	\(e\left(\frac{443}{456}\right)\)	\(e\left(\frac{107}{114}\right)\)	\(e\left(\frac{85}{114}\right)\)	\(e\left(\frac{289}{456}\right)\)	\(e\left(\frac{187}{228}\right)\)
\(\chi_{46208}(51,\cdot)\)	46208.fm	5472	yes	\(1\)	\(1\)	\(e\left(\frac{4127}{5472}\right)\)	\(e\left(\frac{3125}{5472}\right)\)	\(e\left(\frac{251}{912}\right)\)	\(e\left(\frac{1391}{2736}\right)\)	\(e\left(\frac{1283}{1824}\right)\)	\(e\left(\frac{3595}{5472}\right)\)	\(e\left(\frac{445}{1368}\right)\)	\(e\left(\frac{443}{1368}\right)\)	\(e\left(\frac{161}{5472}\right)\)	\(e\left(\frac{2411}{2736}\right)\)
\(\chi_{46208}(53,\cdot)\)	46208.fn	5472	yes	\(-1\)	\(1\)	\(e\left(\frac{1109}{5472}\right)\)	\(e\left(\frac{2519}{5472}\right)\)	\(e\left(\frac{881}{912}\right)\)	\(e\left(\frac{1109}{2736}\right)\)	\(e\left(\frac{65}{1824}\right)\)	\(e\left(\frac{1033}{5472}\right)\)	\(e\left(\frac{907}{1368}\right)\)	\(e\left(\frac{305}{1368}\right)\)	\(e\left(\frac{923}{5472}\right)\)	\(e\left(\frac{1697}{2736}\right)\)
\(\chi_{46208}(55,\cdot)\)	46208.fj	2736	no	\(-1\)	\(1\)	\(e\left(\frac{851}{2736}\right)\)	\(e\left(\frac{713}{2736}\right)\)	\(e\left(\frac{395}{456}\right)\)	\(e\left(\frac{851}{1368}\right)\)	\(e\left(\frac{503}{912}\right)\)	\(e\left(\frac{1687}{2736}\right)\)	\(e\left(\frac{391}{684}\right)\)	\(e\left(\frac{659}{684}\right)\)	\(e\left(\frac{485}{2736}\right)\)	\(e\left(\frac{971}{1368}\right)\)
\(\chi_{46208}(59,\cdot)\)	46208.fm	5472	yes	\(1\)	\(1\)	\(e\left(\frac{3601}{5472}\right)\)	\(e\left(\frac{1723}{5472}\right)\)	\(e\left(\frac{181}{912}\right)\)	\(e\left(\frac{865}{2736}\right)\)	\(e\left(\frac{1165}{1824}\right)\)	\(e\left(\frac{485}{5472}\right)\)	\(e\left(\frac{1331}{1368}\right)\)	\(e\left(\frac{661}{1368}\right)\)	\(e\left(\frac{4687}{5472}\right)\)	\(e\left(\frac{565}{2736}\right)\)
\(\chi_{46208}(61,\cdot)\)	46208.fl	5472	yes	\(1\)	\(1\)	\(e\left(\frac{947}{5472}\right)\)	\(e\left(\frac{17}{5472}\right)\)	\(e\left(\frac{263}{912}\right)\)	\(e\left(\frac{947}{2736}\right)\)	\(e\left(\frac{1655}{1824}\right)\)	\(e\left(\frac{2239}{5472}\right)\)	\(e\left(\frac{241}{1368}\right)\)	\(e\left(\frac{575}{1368}\right)\)	\(e\left(\frac{2525}{5472}\right)\)	\(e\left(\frac{1607}{2736}\right)\)
\(\chi_{46208}(63,\cdot)\)	46208.ee	342	no	\(-1\)	\(1\)	\(e\left(\frac{163}{171}\right)\)	\(e\left(\frac{287}{342}\right)\)	\(e\left(\frac{25}{114}\right)\)	\(e\left(\frac{155}{171}\right)\)	\(e\left(\frac{37}{57}\right)\)	\(e\left(\frac{79}{342}\right)\)	\(e\left(\frac{271}{342}\right)\)	\(e\left(\frac{142}{171}\right)\)	\(e\left(\frac{59}{342}\right)\)	\(e\left(\frac{73}{342}\right)\)
\(\chi_{46208}(65,\cdot)\)	46208.dd	114	no	\(-1\)	\(1\)	\(e\left(\frac{29}{57}\right)\)	\(e\left(\frac{7}{114}\right)\)	\(e\left(\frac{1}{19}\right)\)	\(e\left(\frac{1}{57}\right)\)	\(e\left(\frac{31}{38}\right)\)	\(e\left(\frac{10}{57}\right)\)	\(e\left(\frac{65}{114}\right)\)	\(e\left(\frac{41}{57}\right)\)	\(e\left(\frac{32}{57}\right)\)	\(e\left(\frac{28}{57}\right)\)
\(\chi_{46208}(67,\cdot)\)	46208.fm	5472	yes	\(1\)	\(1\)	\(e\left(\frac{3347}{5472}\right)\)	\(e\left(\frac{401}{5472}\right)\)	\(e\left(\frac{383}{912}\right)\)	\(e\left(\frac{611}{2736}\right)\)	\(e\left(\frac{359}{1824}\right)\)	\(e\left(\frac{3727}{5472}\right)\)	\(e\left(\frac{937}{1368}\right)\)	\(e\left(\frac{527}{1368}\right)\)	\(e\left(\frac{173}{5472}\right)\)	\(e\left(\frac{1775}{2736}\right)\)

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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.