LMFDB - Group of Dirichlet characters of modulus 30926

Show commands: PariGP / SageMath

sage: H = DirichletGroup(30926)

pari: g = idealstar(,30926,2)

Character group

sage: G.order() pari: g.no
Order	=	12972
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{6486}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{30926}(8837,\cdot)$, $\chi_{30926}(13259,\cdot)$

First 32 of 12972 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	$-1$	$1$	$3$	$5$	$9$	$11$	$13$	$15$	$17$	$19$	$23$	$25$
$\chi_{30926}(1,\cdot)$	30926.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{30926}(3,\cdot)$	30926.bf	6486	no	$-1$	$1$	$e\left(\frac{1867}{6486}\right)$	$e\left(\frac{3257}{6486}\right)$	$e\left(\frac{1867}{3243}\right)$	$e\left(\frac{3200}{3243}\right)$	$e\left(\frac{1209}{2162}\right)$	$e\left(\frac{854}{1081}\right)$	$e\left(\frac{5905}{6486}\right)$	$e\left(\frac{4103}{6486}\right)$	$e\left(\frac{1852}{3243}\right)$	$e\left(\frac{14}{3243}\right)$
$\chi_{30926}(5,\cdot)$	30926.be	6486	no	$1$	$1$	$e\left(\frac{3257}{6486}\right)$	$e\left(\frac{542}{3243}\right)$	$e\left(\frac{14}{3243}\right)$	$e\left(\frac{1217}{6486}\right)$	$e\left(\frac{477}{1081}\right)$	$e\left(\frac{1447}{2162}\right)$	$e\left(\frac{3659}{6486}\right)$	$e\left(\frac{401}{3243}\right)$	$e\left(\frac{5581}{6486}\right)$	$e\left(\frac{1084}{3243}\right)$
$\chi_{30926}(9,\cdot)$	30926.bc	3243	no	$1$	$1$	$e\left(\frac{1867}{3243}\right)$	$e\left(\frac{14}{3243}\right)$	$e\left(\frac{491}{3243}\right)$	$e\left(\frac{3157}{3243}\right)$	$e\left(\frac{128}{1081}\right)$	$e\left(\frac{627}{1081}\right)$	$e\left(\frac{2662}{3243}\right)$	$e\left(\frac{860}{3243}\right)$	$e\left(\frac{461}{3243}\right)$	$e\left(\frac{28}{3243}\right)$
$\chi_{30926}(11,\cdot)$	30926.bd	6486	no	$-1$	$1$	$e\left(\frac{3200}{3243}\right)$	$e\left(\frac{1217}{6486}\right)$	$e\left(\frac{3157}{3243}\right)$	$e\left(\frac{3643}{6486}\right)$	$e\left(\frac{1089}{2162}\right)$	$e\left(\frac{377}{2162}\right)$	$e\left(\frac{1502}{3243}\right)$	$e\left(\frac{5729}{6486}\right)$	$e\left(\frac{1853}{6486}\right)$	$e\left(\frac{1217}{3243}\right)$
$\chi_{30926}(13,\cdot)$	30926.ba	2162	no	$1$	$1$	$e\left(\frac{1209}{2162}\right)$	$e\left(\frac{477}{1081}\right)$	$e\left(\frac{128}{1081}\right)$	$e\left(\frac{1089}{2162}\right)$	$e\left(\frac{1038}{1081}\right)$	$e\left(\frac{1}{2162}\right)$	$e\left(\frac{1487}{2162}\right)$	$e\left(\frac{1041}{1081}\right)$	$e\left(\frac{837}{2162}\right)$	$e\left(\frac{954}{1081}\right)$
$\chi_{30926}(15,\cdot)$	30926.bb	2162	no	$-1$	$1$	$e\left(\frac{854}{1081}\right)$	$e\left(\frac{1447}{2162}\right)$	$e\left(\frac{627}{1081}\right)$	$e\left(\frac{377}{2162}\right)$	$e\left(\frac{1}{2162}\right)$	$e\left(\frac{993}{2162}\right)$	$e\left(\frac{513}{1081}\right)$	$e\left(\frac{1635}{2162}\right)$	$e\left(\frac{933}{2162}\right)$	$e\left(\frac{366}{1081}\right)$
$\chi_{30926}(17,\cdot)$	30926.bf	6486	no	$-1$	$1$	$e\left(\frac{5905}{6486}\right)$	$e\left(\frac{3659}{6486}\right)$	$e\left(\frac{2662}{3243}\right)$	$e\left(\frac{1502}{3243}\right)$	$e\left(\frac{1487}{2162}\right)$	$e\left(\frac{513}{1081}\right)$	$e\left(\frac{5437}{6486}\right)$	$e\left(\frac{5633}{6486}\right)$	$e\left(\frac{1753}{3243}\right)$	$e\left(\frac{416}{3243}\right)$
$\chi_{30926}(19,\cdot)$	30926.be	6486	no	$1$	$1$	$e\left(\frac{4103}{6486}\right)$	$e\left(\frac{401}{3243}\right)$	$e\left(\frac{860}{3243}\right)$	$e\left(\frac{5729}{6486}\right)$	$e\left(\frac{1041}{1081}\right)$	$e\left(\frac{1635}{2162}\right)$	$e\left(\frac{5633}{6486}\right)$	$e\left(\frac{542}{3243}\right)$	$e\left(\frac{4171}{6486}\right)$	$e\left(\frac{802}{3243}\right)$
$\chi_{30926}(23,\cdot)$	30926.bd	6486	no	$-1$	$1$	$e\left(\frac{1852}{3243}\right)$	$e\left(\frac{5581}{6486}\right)$	$e\left(\frac{461}{3243}\right)$	$e\left(\frac{1853}{6486}\right)$	$e\left(\frac{837}{2162}\right)$	$e\left(\frac{933}{2162}\right)$	$e\left(\frac{1753}{3243}\right)$	$e\left(\frac{4171}{6486}\right)$	$e\left(\frac{5641}{6486}\right)$	$e\left(\frac{2338}{3243}\right)$
$\chi_{30926}(25,\cdot)$	30926.bc	3243	no	$1$	$1$	$e\left(\frac{14}{3243}\right)$	$e\left(\frac{1084}{3243}\right)$	$e\left(\frac{28}{3243}\right)$	$e\left(\frac{1217}{3243}\right)$	$e\left(\frac{954}{1081}\right)$	$e\left(\frac{366}{1081}\right)$	$e\left(\frac{416}{3243}\right)$	$e\left(\frac{802}{3243}\right)$	$e\left(\frac{2338}{3243}\right)$	$e\left(\frac{2168}{3243}\right)$
$\chi_{30926}(27,\cdot)$	30926.z	2162	no	$-1$	$1$	$e\left(\frac{1867}{2162}\right)$	$e\left(\frac{1095}{2162}\right)$	$e\left(\frac{786}{1081}\right)$	$e\left(\frac{1038}{1081}\right)$	$e\left(\frac{1465}{2162}\right)$	$e\left(\frac{400}{1081}\right)$	$e\left(\frac{1581}{2162}\right)$	$e\left(\frac{1941}{2162}\right)$	$e\left(\frac{771}{1081}\right)$	$e\left(\frac{14}{1081}\right)$
$\chi_{30926}(29,\cdot)$	30926.bb	2162	no	$-1$	$1$	$e\left(\frac{879}{1081}\right)$	$e\left(\frac{1921}{2162}\right)$	$e\left(\frac{677}{1081}\right)$	$e\left(\frac{245}{2162}\right)$	$e\left(\frac{339}{2162}\right)$	$e\left(\frac{1517}{2162}\right)$	$e\left(\frac{947}{1081}\right)$	$e\left(\frac{793}{2162}\right)$	$e\left(\frac{635}{2162}\right)$	$e\left(\frac{840}{1081}\right)$
$\chi_{30926}(31,\cdot)$	30926.be	6486	no	$1$	$1$	$e\left(\frac{3745}{6486}\right)$	$e\left(\frac{2293}{3243}\right)$	$e\left(\frac{502}{3243}\right)$	$e\left(\frac{2869}{6486}\right)$	$e\left(\frac{580}{1081}\right)$	$e\left(\frac{615}{2162}\right)$	$e\left(\frac{4261}{6486}\right)$	$e\left(\frac{1870}{3243}\right)$	$e\left(\frac{2759}{6486}\right)$	$e\left(\frac{1343}{3243}\right)$
$\chi_{30926}(33,\cdot)$	30926.be	6486	no	$1$	$1$	$e\left(\frac{1781}{6486}\right)$	$e\left(\frac{2237}{3243}\right)$	$e\left(\frac{1781}{3243}\right)$	$e\left(\frac{3557}{6486}\right)$	$e\left(\frac{68}{1081}\right)$	$e\left(\frac{2085}{2162}\right)$	$e\left(\frac{2423}{6486}\right)$	$e\left(\frac{1673}{3243}\right)$	$e\left(\frac{5557}{6486}\right)$	$e\left(\frac{1231}{3243}\right)$
$\chi_{30926}(37,\cdot)$	30926.bc	3243	no	$1$	$1$	$e\left(\frac{2617}{3243}\right)$	$e\left(\frac{638}{3243}\right)$	$e\left(\frac{1991}{3243}\right)$	$e\left(\frac{1177}{3243}\right)$	$e\left(\frac{737}{1081}\right)$	$e\left(\frac{4}{1081}\right)$	$e\left(\frac{2710}{3243}\right)$	$e\left(\frac{1202}{3243}\right)$	$e\left(\frac{2477}{3243}\right)$	$e\left(\frac{1276}{3243}\right)$
$\chi_{30926}(39,\cdot)$	30926.bd	6486	no	$-1$	$1$	$e\left(\frac{2747}{3243}\right)$	$e\left(\frac{6119}{6486}\right)$	$e\left(\frac{2251}{3243}\right)$	$e\left(\frac{3181}{6486}\right)$	$e\left(\frac{1123}{2162}\right)$	$e\left(\frac{1709}{2162}\right)$	$e\left(\frac{1940}{3243}\right)$	$e\left(\frac{3863}{6486}\right)$	$e\left(\frac{6215}{6486}\right)$	$e\left(\frac{2876}{3243}\right)$
$\chi_{30926}(41,\cdot)$	30926.ba	2162	no	$1$	$1$	$e\left(\frac{599}{2162}\right)$	$e\left(\frac{180}{1081}\right)$	$e\left(\frac{599}{1081}\right)$	$e\left(\frac{105}{2162}\right)$	$e\left(\frac{922}{1081}\right)$	$e\left(\frac{959}{2162}\right)$	$e\left(\frac{1275}{2162}\right)$	$e\left(\frac{556}{1081}\right)$	$e\left(\frac{581}{2162}\right)$	$e\left(\frac{360}{1081}\right)$
$\chi_{30926}(43,\cdot)$	30926.bb	2162	no	$-1$	$1$	$e\left(\frac{268}{1081}\right)$	$e\left(\frac{887}{2162}\right)$	$e\left(\frac{536}{1081}\right)$	$e\left(\frac{1655}{2162}\right)$	$e\left(\frac{1937}{2162}\right)$	$e\left(\frac{1423}{2162}\right)$	$e\left(\frac{242}{1081}\right)$	$e\left(\frac{1827}{2162}\right)$	$e\left(\frac{1951}{2162}\right)$	$e\left(\frac{887}{1081}\right)$
$\chi_{30926}(45,\cdot)$	30926.be	6486	no	$1$	$1$	$e\left(\frac{505}{6486}\right)$	$e\left(\frac{556}{3243}\right)$	$e\left(\frac{505}{3243}\right)$	$e\left(\frac{1045}{6486}\right)$	$e\left(\frac{605}{1081}\right)$	$e\left(\frac{539}{2162}\right)$	$e\left(\frac{2497}{6486}\right)$	$e\left(\frac{1261}{3243}\right)$	$e\left(\frac{17}{6486}\right)$	$e\left(\frac{1112}{3243}\right)$
$\chi_{30926}(51,\cdot)$	30926.bc	3243	no	$1$	$1$	$e\left(\frac{643}{3243}\right)$	$e\left(\frac{215}{3243}\right)$	$e\left(\frac{1286}{3243}\right)$	$e\left(\frac{1459}{3243}\right)$	$e\left(\frac{267}{1081}\right)$	$e\left(\frac{286}{1081}\right)$	$e\left(\frac{2428}{3243}\right)$	$e\left(\frac{1625}{3243}\right)$	$e\left(\frac{362}{3243}\right)$	$e\left(\frac{430}{3243}\right)$
$\chi_{30926}(53,\cdot)$	30926.n	69	no	$1$	$1$	$e\left(\frac{13}{69}\right)$	$e\left(\frac{11}{69}\right)$	$e\left(\frac{26}{69}\right)$	$e\left(\frac{31}{69}\right)$	$e\left(\frac{2}{23}\right)$	$e\left(\frac{8}{23}\right)$	$e\left(\frac{61}{69}\right)$	$e\left(\frac{35}{69}\right)$	$e\left(\frac{32}{69}\right)$	$e\left(\frac{22}{69}\right)$
$\chi_{30926}(55,\cdot)$	30926.z	2162	no	$-1$	$1$	$e\left(\frac{1057}{2162}\right)$	$e\left(\frac{767}{2162}\right)$	$e\left(\frac{1057}{1081}\right)$	$e\left(\frac{810}{1081}\right)$	$e\left(\frac{2043}{2162}\right)$	$e\left(\frac{912}{1081}\right)$	$e\left(\frac{59}{2162}\right)$	$e\left(\frac{15}{2162}\right)$	$e\left(\frac{158}{1081}\right)$	$e\left(\frac{767}{1081}\right)$
$\chi_{30926}(57,\cdot)$	30926.bb	2162	no	$-1$	$1$	$e\left(\frac{995}{1081}\right)$	$e\left(\frac{1353}{2162}\right)$	$e\left(\frac{909}{1081}\right)$	$e\left(\frac{1881}{2162}\right)$	$e\left(\frac{1129}{2162}\right)$	$e\left(\frac{1181}{2162}\right)$	$e\left(\frac{842}{1081}\right)$	$e\left(\frac{1729}{2162}\right)$	$e\left(\frac{463}{2162}\right)$	$e\left(\frac{272}{1081}\right)$
$\chi_{30926}(59,\cdot)$	30926.bf	6486	no	$-1$	$1$	$e\left(\frac{1819}{6486}\right)$	$e\left(\frac{467}{6486}\right)$	$e\left(\frac{1819}{3243}\right)$	$e\left(\frac{1577}{3243}\right)$	$e\left(\frac{409}{2162}\right)$	$e\left(\frac{381}{1081}\right)$	$e\left(\frac{1699}{6486}\right)$	$e\left(\frac{4133}{6486}\right)$	$e\left(\frac{1087}{3243}\right)$	$e\left(\frac{467}{3243}\right)$
$\chi_{30926}(61,\cdot)$	30926.bf	6486	no	$-1$	$1$	$e\left(\frac{3851}{6486}\right)$	$e\left(\frac{3991}{6486}\right)$	$e\left(\frac{608}{3243}\right)$	$e\left(\frac{19}{3243}\right)$	$e\left(\frac{1125}{2162}\right)$	$e\left(\frac{226}{1081}\right)$	$e\left(\frac{4631}{6486}\right)$	$e\left(\frac{2863}{6486}\right)$	$e\left(\frac{2123}{3243}\right)$	$e\left(\frac{748}{3243}\right)$
$\chi_{30926}(65,\cdot)$	30926.bc	3243	no	$1$	$1$	$e\left(\frac{199}{3243}\right)$	$e\left(\frac{1973}{3243}\right)$	$e\left(\frac{398}{3243}\right)$	$e\left(\frac{2242}{3243}\right)$	$e\left(\frac{434}{1081}\right)$	$e\left(\frac{724}{1081}\right)$	$e\left(\frac{817}{3243}\right)$	$e\left(\frac{281}{3243}\right)$	$e\left(\frac{803}{3243}\right)$	$e\left(\frac{703}{3243}\right)$
$\chi_{30926}(67,\cdot)$	30926.t	138	no	$-1$	$1$	$e\left(\frac{52}{69}\right)$	$e\left(\frac{19}{138}\right)$	$e\left(\frac{35}{69}\right)$	$e\left(\frac{41}{138}\right)$	$e\left(\frac{39}{46}\right)$	$e\left(\frac{41}{46}\right)$	$e\left(\frac{37}{69}\right)$	$e\left(\frac{73}{138}\right)$	$e\left(\frac{49}{138}\right)$	$e\left(\frac{19}{69}\right)$
$\chi_{30926}(69,\cdot)$	30926.ba	2162	no	$1$	$1$	$e\left(\frac{1857}{2162}\right)$	$e\left(\frac{392}{1081}\right)$	$e\left(\frac{776}{1081}\right)$	$e\left(\frac{589}{2162}\right)$	$e\left(\frac{1023}{1081}\right)$	$e\left(\frac{479}{2162}\right)$	$e\left(\frac{975}{2162}\right)$	$e\left(\frac{298}{1081}\right)$	$e\left(\frac{953}{2162}\right)$	$e\left(\frac{784}{1081}\right)$
$\chi_{30926}(71,\cdot)$	30926.i	23	no	$1$	$1$	$e\left(\frac{4}{23}\right)$	$e\left(\frac{14}{23}\right)$	$e\left(\frac{8}{23}\right)$	$e\left(\frac{6}{23}\right)$	$e\left(\frac{16}{23}\right)$	$e\left(\frac{18}{23}\right)$	$e\left(\frac{17}{23}\right)$	$e\left(\frac{9}{23}\right)$	$e\left(\frac{1}{23}\right)$	$e\left(\frac{5}{23}\right)$
$\chi_{30926}(73,\cdot)$	30926.be	6486	no	$1$	$1$	$e\left(\frac{4201}{6486}\right)$	$e\left(\frac{952}{3243}\right)$	$e\left(\frac{958}{3243}\right)$	$e\left(\frac{4519}{6486}\right)$	$e\left(\frac{56}{1081}\right)$	$e\left(\frac{2035}{2162}\right)$	$e\left(\frac{2059}{6486}\right)$	$e\left(\frac{106}{3243}\right)$	$e\left(\frac{1079}{6486}\right)$	$e\left(\frac{1904}{3243}\right)$
$\chi_{30926}(75,\cdot)$	30926.bf	6486	no	$-1$	$1$	$e\left(\frac{1895}{6486}\right)$	$e\left(\frac{5425}{6486}\right)$	$e\left(\frac{1895}{3243}\right)$	$e\left(\frac{1174}{3243}\right)$	$e\left(\frac{955}{2162}\right)$	$e\left(\frac{139}{1081}\right)$	$e\left(\frac{251}{6486}\right)$	$e\left(\frac{5707}{6486}\right)$	$e\left(\frac{947}{3243}\right)$	$e\left(\frac{2182}{3243}\right)$

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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	$30926$
Structure	\(C_{2}\times C_{6486}\)
Order	$12972$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(3\)	\(5\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(23\)	\(25\)
\(\chi_{30926}(1,\cdot)\)	30926.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{30926}(3,\cdot)\)	30926.bf	6486	no	\(-1\)	\(1\)	\(e\left(\frac{1867}{6486}\right)\)	\(e\left(\frac{3257}{6486}\right)\)	\(e\left(\frac{1867}{3243}\right)\)	\(e\left(\frac{3200}{3243}\right)\)	\(e\left(\frac{1209}{2162}\right)\)	\(e\left(\frac{854}{1081}\right)\)	\(e\left(\frac{5905}{6486}\right)\)	\(e\left(\frac{4103}{6486}\right)\)	\(e\left(\frac{1852}{3243}\right)\)	\(e\left(\frac{14}{3243}\right)\)
\(\chi_{30926}(5,\cdot)\)	30926.be	6486	no	\(1\)	\(1\)	\(e\left(\frac{3257}{6486}\right)\)	\(e\left(\frac{542}{3243}\right)\)	\(e\left(\frac{14}{3243}\right)\)	\(e\left(\frac{1217}{6486}\right)\)	\(e\left(\frac{477}{1081}\right)\)	\(e\left(\frac{1447}{2162}\right)\)	\(e\left(\frac{3659}{6486}\right)\)	\(e\left(\frac{401}{3243}\right)\)	\(e\left(\frac{5581}{6486}\right)\)	\(e\left(\frac{1084}{3243}\right)\)
\(\chi_{30926}(9,\cdot)\)	30926.bc	3243	no	\(1\)	\(1\)	\(e\left(\frac{1867}{3243}\right)\)	\(e\left(\frac{14}{3243}\right)\)	\(e\left(\frac{491}{3243}\right)\)	\(e\left(\frac{3157}{3243}\right)\)	\(e\left(\frac{128}{1081}\right)\)	\(e\left(\frac{627}{1081}\right)\)	\(e\left(\frac{2662}{3243}\right)\)	\(e\left(\frac{860}{3243}\right)\)	\(e\left(\frac{461}{3243}\right)\)	\(e\left(\frac{28}{3243}\right)\)
\(\chi_{30926}(11,\cdot)\)	30926.bd	6486	no	\(-1\)	\(1\)	\(e\left(\frac{3200}{3243}\right)\)	\(e\left(\frac{1217}{6486}\right)\)	\(e\left(\frac{3157}{3243}\right)\)	\(e\left(\frac{3643}{6486}\right)\)	\(e\left(\frac{1089}{2162}\right)\)	\(e\left(\frac{377}{2162}\right)\)	\(e\left(\frac{1502}{3243}\right)\)	\(e\left(\frac{5729}{6486}\right)\)	\(e\left(\frac{1853}{6486}\right)\)	\(e\left(\frac{1217}{3243}\right)\)
\(\chi_{30926}(13,\cdot)\)	30926.ba	2162	no	\(1\)	\(1\)	\(e\left(\frac{1209}{2162}\right)\)	\(e\left(\frac{477}{1081}\right)\)	\(e\left(\frac{128}{1081}\right)\)	\(e\left(\frac{1089}{2162}\right)\)	\(e\left(\frac{1038}{1081}\right)\)	\(e\left(\frac{1}{2162}\right)\)	\(e\left(\frac{1487}{2162}\right)\)	\(e\left(\frac{1041}{1081}\right)\)	\(e\left(\frac{837}{2162}\right)\)	\(e\left(\frac{954}{1081}\right)\)
\(\chi_{30926}(15,\cdot)\)	30926.bb	2162	no	\(-1\)	\(1\)	\(e\left(\frac{854}{1081}\right)\)	\(e\left(\frac{1447}{2162}\right)\)	\(e\left(\frac{627}{1081}\right)\)	\(e\left(\frac{377}{2162}\right)\)	\(e\left(\frac{1}{2162}\right)\)	\(e\left(\frac{993}{2162}\right)\)	\(e\left(\frac{513}{1081}\right)\)	\(e\left(\frac{1635}{2162}\right)\)	\(e\left(\frac{933}{2162}\right)\)	\(e\left(\frac{366}{1081}\right)\)
\(\chi_{30926}(17,\cdot)\)	30926.bf	6486	no	\(-1\)	\(1\)	\(e\left(\frac{5905}{6486}\right)\)	\(e\left(\frac{3659}{6486}\right)\)	\(e\left(\frac{2662}{3243}\right)\)	\(e\left(\frac{1502}{3243}\right)\)	\(e\left(\frac{1487}{2162}\right)\)	\(e\left(\frac{513}{1081}\right)\)	\(e\left(\frac{5437}{6486}\right)\)	\(e\left(\frac{5633}{6486}\right)\)	\(e\left(\frac{1753}{3243}\right)\)	\(e\left(\frac{416}{3243}\right)\)
\(\chi_{30926}(19,\cdot)\)	30926.be	6486	no	\(1\)	\(1\)	\(e\left(\frac{4103}{6486}\right)\)	\(e\left(\frac{401}{3243}\right)\)	\(e\left(\frac{860}{3243}\right)\)	\(e\left(\frac{5729}{6486}\right)\)	\(e\left(\frac{1041}{1081}\right)\)	\(e\left(\frac{1635}{2162}\right)\)	\(e\left(\frac{5633}{6486}\right)\)	\(e\left(\frac{542}{3243}\right)\)	\(e\left(\frac{4171}{6486}\right)\)	\(e\left(\frac{802}{3243}\right)\)
\(\chi_{30926}(23,\cdot)\)	30926.bd	6486	no	\(-1\)	\(1\)	\(e\left(\frac{1852}{3243}\right)\)	\(e\left(\frac{5581}{6486}\right)\)	\(e\left(\frac{461}{3243}\right)\)	\(e\left(\frac{1853}{6486}\right)\)	\(e\left(\frac{837}{2162}\right)\)	\(e\left(\frac{933}{2162}\right)\)	\(e\left(\frac{1753}{3243}\right)\)	\(e\left(\frac{4171}{6486}\right)\)	\(e\left(\frac{5641}{6486}\right)\)	\(e\left(\frac{2338}{3243}\right)\)
\(\chi_{30926}(25,\cdot)\)	30926.bc	3243	no	\(1\)	\(1\)	\(e\left(\frac{14}{3243}\right)\)	\(e\left(\frac{1084}{3243}\right)\)	\(e\left(\frac{28}{3243}\right)\)	\(e\left(\frac{1217}{3243}\right)\)	\(e\left(\frac{954}{1081}\right)\)	\(e\left(\frac{366}{1081}\right)\)	\(e\left(\frac{416}{3243}\right)\)	\(e\left(\frac{802}{3243}\right)\)	\(e\left(\frac{2338}{3243}\right)\)	\(e\left(\frac{2168}{3243}\right)\)
\(\chi_{30926}(27,\cdot)\)	30926.z	2162	no	\(-1\)	\(1\)	\(e\left(\frac{1867}{2162}\right)\)	\(e\left(\frac{1095}{2162}\right)\)	\(e\left(\frac{786}{1081}\right)\)	\(e\left(\frac{1038}{1081}\right)\)	\(e\left(\frac{1465}{2162}\right)\)	\(e\left(\frac{400}{1081}\right)\)	\(e\left(\frac{1581}{2162}\right)\)	\(e\left(\frac{1941}{2162}\right)\)	\(e\left(\frac{771}{1081}\right)\)	\(e\left(\frac{14}{1081}\right)\)
\(\chi_{30926}(29,\cdot)\)	30926.bb	2162	no	\(-1\)	\(1\)	\(e\left(\frac{879}{1081}\right)\)	\(e\left(\frac{1921}{2162}\right)\)	\(e\left(\frac{677}{1081}\right)\)	\(e\left(\frac{245}{2162}\right)\)	\(e\left(\frac{339}{2162}\right)\)	\(e\left(\frac{1517}{2162}\right)\)	\(e\left(\frac{947}{1081}\right)\)	\(e\left(\frac{793}{2162}\right)\)	\(e\left(\frac{635}{2162}\right)\)	\(e\left(\frac{840}{1081}\right)\)
\(\chi_{30926}(31,\cdot)\)	30926.be	6486	no	\(1\)	\(1\)	\(e\left(\frac{3745}{6486}\right)\)	\(e\left(\frac{2293}{3243}\right)\)	\(e\left(\frac{502}{3243}\right)\)	\(e\left(\frac{2869}{6486}\right)\)	\(e\left(\frac{580}{1081}\right)\)	\(e\left(\frac{615}{2162}\right)\)	\(e\left(\frac{4261}{6486}\right)\)	\(e\left(\frac{1870}{3243}\right)\)	\(e\left(\frac{2759}{6486}\right)\)	\(e\left(\frac{1343}{3243}\right)\)
\(\chi_{30926}(33,\cdot)\)	30926.be	6486	no	\(1\)	\(1\)	\(e\left(\frac{1781}{6486}\right)\)	\(e\left(\frac{2237}{3243}\right)\)	\(e\left(\frac{1781}{3243}\right)\)	\(e\left(\frac{3557}{6486}\right)\)	\(e\left(\frac{68}{1081}\right)\)	\(e\left(\frac{2085}{2162}\right)\)	\(e\left(\frac{2423}{6486}\right)\)	\(e\left(\frac{1673}{3243}\right)\)	\(e\left(\frac{5557}{6486}\right)\)	\(e\left(\frac{1231}{3243}\right)\)
\(\chi_{30926}(37,\cdot)\)	30926.bc	3243	no	\(1\)	\(1\)	\(e\left(\frac{2617}{3243}\right)\)	\(e\left(\frac{638}{3243}\right)\)	\(e\left(\frac{1991}{3243}\right)\)	\(e\left(\frac{1177}{3243}\right)\)	\(e\left(\frac{737}{1081}\right)\)	\(e\left(\frac{4}{1081}\right)\)	\(e\left(\frac{2710}{3243}\right)\)	\(e\left(\frac{1202}{3243}\right)\)	\(e\left(\frac{2477}{3243}\right)\)	\(e\left(\frac{1276}{3243}\right)\)
\(\chi_{30926}(39,\cdot)\)	30926.bd	6486	no	\(-1\)	\(1\)	\(e\left(\frac{2747}{3243}\right)\)	\(e\left(\frac{6119}{6486}\right)\)	\(e\left(\frac{2251}{3243}\right)\)	\(e\left(\frac{3181}{6486}\right)\)	\(e\left(\frac{1123}{2162}\right)\)	\(e\left(\frac{1709}{2162}\right)\)	\(e\left(\frac{1940}{3243}\right)\)	\(e\left(\frac{3863}{6486}\right)\)	\(e\left(\frac{6215}{6486}\right)\)	\(e\left(\frac{2876}{3243}\right)\)
\(\chi_{30926}(41,\cdot)\)	30926.ba	2162	no	\(1\)	\(1\)	\(e\left(\frac{599}{2162}\right)\)	\(e\left(\frac{180}{1081}\right)\)	\(e\left(\frac{599}{1081}\right)\)	\(e\left(\frac{105}{2162}\right)\)	\(e\left(\frac{922}{1081}\right)\)	\(e\left(\frac{959}{2162}\right)\)	\(e\left(\frac{1275}{2162}\right)\)	\(e\left(\frac{556}{1081}\right)\)	\(e\left(\frac{581}{2162}\right)\)	\(e\left(\frac{360}{1081}\right)\)
\(\chi_{30926}(43,\cdot)\)	30926.bb	2162	no	\(-1\)	\(1\)	\(e\left(\frac{268}{1081}\right)\)	\(e\left(\frac{887}{2162}\right)\)	\(e\left(\frac{536}{1081}\right)\)	\(e\left(\frac{1655}{2162}\right)\)	\(e\left(\frac{1937}{2162}\right)\)	\(e\left(\frac{1423}{2162}\right)\)	\(e\left(\frac{242}{1081}\right)\)	\(e\left(\frac{1827}{2162}\right)\)	\(e\left(\frac{1951}{2162}\right)\)	\(e\left(\frac{887}{1081}\right)\)
\(\chi_{30926}(45,\cdot)\)	30926.be	6486	no	\(1\)	\(1\)	\(e\left(\frac{505}{6486}\right)\)	\(e\left(\frac{556}{3243}\right)\)	\(e\left(\frac{505}{3243}\right)\)	\(e\left(\frac{1045}{6486}\right)\)	\(e\left(\frac{605}{1081}\right)\)	\(e\left(\frac{539}{2162}\right)\)	\(e\left(\frac{2497}{6486}\right)\)	\(e\left(\frac{1261}{3243}\right)\)	\(e\left(\frac{17}{6486}\right)\)	\(e\left(\frac{1112}{3243}\right)\)
\(\chi_{30926}(51,\cdot)\)	30926.bc	3243	no	\(1\)	\(1\)	\(e\left(\frac{643}{3243}\right)\)	\(e\left(\frac{215}{3243}\right)\)	\(e\left(\frac{1286}{3243}\right)\)	\(e\left(\frac{1459}{3243}\right)\)	\(e\left(\frac{267}{1081}\right)\)	\(e\left(\frac{286}{1081}\right)\)	\(e\left(\frac{2428}{3243}\right)\)	\(e\left(\frac{1625}{3243}\right)\)	\(e\left(\frac{362}{3243}\right)\)	\(e\left(\frac{430}{3243}\right)\)
\(\chi_{30926}(53,\cdot)\)	30926.n	69	no	\(1\)	\(1\)	\(e\left(\frac{13}{69}\right)\)	\(e\left(\frac{11}{69}\right)\)	\(e\left(\frac{26}{69}\right)\)	\(e\left(\frac{31}{69}\right)\)	\(e\left(\frac{2}{23}\right)\)	\(e\left(\frac{8}{23}\right)\)	\(e\left(\frac{61}{69}\right)\)	\(e\left(\frac{35}{69}\right)\)	\(e\left(\frac{32}{69}\right)\)	\(e\left(\frac{22}{69}\right)\)
\(\chi_{30926}(55,\cdot)\)	30926.z	2162	no	\(-1\)	\(1\)	\(e\left(\frac{1057}{2162}\right)\)	\(e\left(\frac{767}{2162}\right)\)	\(e\left(\frac{1057}{1081}\right)\)	\(e\left(\frac{810}{1081}\right)\)	\(e\left(\frac{2043}{2162}\right)\)	\(e\left(\frac{912}{1081}\right)\)	\(e\left(\frac{59}{2162}\right)\)	\(e\left(\frac{15}{2162}\right)\)	\(e\left(\frac{158}{1081}\right)\)	\(e\left(\frac{767}{1081}\right)\)
\(\chi_{30926}(57,\cdot)\)	30926.bb	2162	no	\(-1\)	\(1\)	\(e\left(\frac{995}{1081}\right)\)	\(e\left(\frac{1353}{2162}\right)\)	\(e\left(\frac{909}{1081}\right)\)	\(e\left(\frac{1881}{2162}\right)\)	\(e\left(\frac{1129}{2162}\right)\)	\(e\left(\frac{1181}{2162}\right)\)	\(e\left(\frac{842}{1081}\right)\)	\(e\left(\frac{1729}{2162}\right)\)	\(e\left(\frac{463}{2162}\right)\)	\(e\left(\frac{272}{1081}\right)\)
\(\chi_{30926}(59,\cdot)\)	30926.bf	6486	no	\(-1\)	\(1\)	\(e\left(\frac{1819}{6486}\right)\)	\(e\left(\frac{467}{6486}\right)\)	\(e\left(\frac{1819}{3243}\right)\)	\(e\left(\frac{1577}{3243}\right)\)	\(e\left(\frac{409}{2162}\right)\)	\(e\left(\frac{381}{1081}\right)\)	\(e\left(\frac{1699}{6486}\right)\)	\(e\left(\frac{4133}{6486}\right)\)	\(e\left(\frac{1087}{3243}\right)\)	\(e\left(\frac{467}{3243}\right)\)
\(\chi_{30926}(61,\cdot)\)	30926.bf	6486	no	\(-1\)	\(1\)	\(e\left(\frac{3851}{6486}\right)\)	\(e\left(\frac{3991}{6486}\right)\)	\(e\left(\frac{608}{3243}\right)\)	\(e\left(\frac{19}{3243}\right)\)	\(e\left(\frac{1125}{2162}\right)\)	\(e\left(\frac{226}{1081}\right)\)	\(e\left(\frac{4631}{6486}\right)\)	\(e\left(\frac{2863}{6486}\right)\)	\(e\left(\frac{2123}{3243}\right)\)	\(e\left(\frac{748}{3243}\right)\)
\(\chi_{30926}(65,\cdot)\)	30926.bc	3243	no	\(1\)	\(1\)	\(e\left(\frac{199}{3243}\right)\)	\(e\left(\frac{1973}{3243}\right)\)	\(e\left(\frac{398}{3243}\right)\)	\(e\left(\frac{2242}{3243}\right)\)	\(e\left(\frac{434}{1081}\right)\)	\(e\left(\frac{724}{1081}\right)\)	\(e\left(\frac{817}{3243}\right)\)	\(e\left(\frac{281}{3243}\right)\)	\(e\left(\frac{803}{3243}\right)\)	\(e\left(\frac{703}{3243}\right)\)
\(\chi_{30926}(67,\cdot)\)	30926.t	138	no	\(-1\)	\(1\)	\(e\left(\frac{52}{69}\right)\)	\(e\left(\frac{19}{138}\right)\)	\(e\left(\frac{35}{69}\right)\)	\(e\left(\frac{41}{138}\right)\)	\(e\left(\frac{39}{46}\right)\)	\(e\left(\frac{41}{46}\right)\)	\(e\left(\frac{37}{69}\right)\)	\(e\left(\frac{73}{138}\right)\)	\(e\left(\frac{49}{138}\right)\)	\(e\left(\frac{19}{69}\right)\)
\(\chi_{30926}(69,\cdot)\)	30926.ba	2162	no	\(1\)	\(1\)	\(e\left(\frac{1857}{2162}\right)\)	\(e\left(\frac{392}{1081}\right)\)	\(e\left(\frac{776}{1081}\right)\)	\(e\left(\frac{589}{2162}\right)\)	\(e\left(\frac{1023}{1081}\right)\)	\(e\left(\frac{479}{2162}\right)\)	\(e\left(\frac{975}{2162}\right)\)	\(e\left(\frac{298}{1081}\right)\)	\(e\left(\frac{953}{2162}\right)\)	\(e\left(\frac{784}{1081}\right)\)
\(\chi_{30926}(71,\cdot)\)	30926.i	23	no	\(1\)	\(1\)	\(e\left(\frac{4}{23}\right)\)	\(e\left(\frac{14}{23}\right)\)	\(e\left(\frac{8}{23}\right)\)	\(e\left(\frac{6}{23}\right)\)	\(e\left(\frac{16}{23}\right)\)	\(e\left(\frac{18}{23}\right)\)	\(e\left(\frac{17}{23}\right)\)	\(e\left(\frac{9}{23}\right)\)	\(e\left(\frac{1}{23}\right)\)	\(e\left(\frac{5}{23}\right)\)
\(\chi_{30926}(73,\cdot)\)	30926.be	6486	no	\(1\)	\(1\)	\(e\left(\frac{4201}{6486}\right)\)	\(e\left(\frac{952}{3243}\right)\)	\(e\left(\frac{958}{3243}\right)\)	\(e\left(\frac{4519}{6486}\right)\)	\(e\left(\frac{56}{1081}\right)\)	\(e\left(\frac{2035}{2162}\right)\)	\(e\left(\frac{2059}{6486}\right)\)	\(e\left(\frac{106}{3243}\right)\)	\(e\left(\frac{1079}{6486}\right)\)	\(e\left(\frac{1904}{3243}\right)\)
\(\chi_{30926}(75,\cdot)\)	30926.bf	6486	no	\(-1\)	\(1\)	\(e\left(\frac{1895}{6486}\right)\)	\(e\left(\frac{5425}{6486}\right)\)	\(e\left(\frac{1895}{3243}\right)\)	\(e\left(\frac{1174}{3243}\right)\)	\(e\left(\frac{955}{2162}\right)\)	\(e\left(\frac{139}{1081}\right)\)	\(e\left(\frac{251}{6486}\right)\)	\(e\left(\frac{5707}{6486}\right)\)	\(e\left(\frac{947}{3243}\right)\)	\(e\left(\frac{2182}{3243}\right)\)

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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.