LMFDB - Group of Dirichlet characters of modulus 79350

Show commands: PariGP / SageMath

sage: H = DirichletGroup(79350)

pari: g = idealstar(,79350,2)

Character group

sage: G.order() pari: g.no
Order	=	20240
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{5060}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{79350}(52901,\cdot)$, $\chi_{79350}(76177,\cdot)$, $\chi_{79350}(39151,\cdot)$

First 32 of 20240 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	$-1$	$1$	$7$	$11$	$13$	$17$	$19$	$29$	$31$	$37$	$41$	$43$
$\chi_{79350}(1,\cdot)$	79350.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{79350}(7,\cdot)$	79350.dd	1012	no	$1$	$1$	$e\left(\frac{139}{1012}\right)$	$e\left(\frac{237}{506}\right)$	$e\left(\frac{191}{1012}\right)$	$e\left(\frac{651}{1012}\right)$	$e\left(\frac{181}{253}\right)$	$e\left(\frac{375}{506}\right)$	$e\left(\frac{24}{253}\right)$	$e\left(\frac{347}{1012}\right)$	$e\left(\frac{136}{253}\right)$	$e\left(\frac{641}{1012}\right)$
$\chi_{79350}(11,\cdot)$	79350.dh	2530	no	$1$	$1$	$e\left(\frac{237}{506}\right)$	$e\left(\frac{912}{1265}\right)$	$e\left(\frac{1008}{1265}\right)$	$e\left(\frac{801}{1265}\right)$	$e\left(\frac{477}{2530}\right)$	$e\left(\frac{513}{2530}\right)$	$e\left(\frac{806}{1265}\right)$	$e\left(\frac{461}{2530}\right)$	$e\left(\frac{111}{2530}\right)$	$e\left(\frac{485}{506}\right)$
$\chi_{79350}(13,\cdot)$	79350.dp	5060	no	$-1$	$1$	$e\left(\frac{191}{1012}\right)$	$e\left(\frac{1008}{1265}\right)$	$e\left(\frac{1993}{5060}\right)$	$e\left(\frac{1211}{5060}\right)$	$e\left(\frac{1193}{2530}\right)$	$e\left(\frac{567}{2530}\right)$	$e\left(\frac{1024}{1265}\right)$	$e\left(\frac{3083}{5060}\right)$	$e\left(\frac{827}{1265}\right)$	$e\left(\frac{393}{1012}\right)$
$\chi_{79350}(17,\cdot)$	79350.do	5060	no	$-1$	$1$	$e\left(\frac{651}{1012}\right)$	$e\left(\frac{801}{1265}\right)$	$e\left(\frac{1211}{5060}\right)$	$e\left(\frac{3097}{5060}\right)$	$e\left(\frac{378}{1265}\right)$	$e\left(\frac{502}{1265}\right)$	$e\left(\frac{633}{1265}\right)$	$e\left(\frac{1151}{5060}\right)$	$e\left(\frac{343}{2530}\right)$	$e\left(\frac{301}{1012}\right)$
$\chi_{79350}(19,\cdot)$	79350.dn	2530	no	$-1$	$1$	$e\left(\frac{181}{253}\right)$	$e\left(\frac{477}{2530}\right)$	$e\left(\frac{1193}{2530}\right)$	$e\left(\frac{378}{1265}\right)$	$e\left(\frac{751}{2530}\right)$	$e\left(\frac{917}{1265}\right)$	$e\left(\frac{423}{1265}\right)$	$e\left(\frac{1189}{1265}\right)$	$e\left(\frac{879}{1265}\right)$	$e\left(\frac{32}{253}\right)$
$\chi_{79350}(29,\cdot)$	79350.dk	2530	no	$-1$	$1$	$e\left(\frac{375}{506}\right)$	$e\left(\frac{513}{2530}\right)$	$e\left(\frac{567}{2530}\right)$	$e\left(\frac{502}{1265}\right)$	$e\left(\frac{917}{1265}\right)$	$e\left(\frac{421}{2530}\right)$	$e\left(\frac{622}{1265}\right)$	$e\left(\frac{1197}{2530}\right)$	$e\left(\frac{387}{2530}\right)$	$e\left(\frac{255}{506}\right)$
$\chi_{79350}(31,\cdot)$	79350.dg	1265	no	$1$	$1$	$e\left(\frac{24}{253}\right)$	$e\left(\frac{806}{1265}\right)$	$e\left(\frac{1024}{1265}\right)$	$e\left(\frac{633}{1265}\right)$	$e\left(\frac{423}{1265}\right)$	$e\left(\frac{622}{1265}\right)$	$e\left(\frac{618}{1265}\right)$	$e\left(\frac{194}{1265}\right)$	$e\left(\frac{719}{1265}\right)$	$e\left(\frac{158}{253}\right)$
$\chi_{79350}(37,\cdot)$	79350.dq	5060	no	$1$	$1$	$e\left(\frac{347}{1012}\right)$	$e\left(\frac{461}{2530}\right)$	$e\left(\frac{3083}{5060}\right)$	$e\left(\frac{1151}{5060}\right)$	$e\left(\frac{1189}{1265}\right)$	$e\left(\frac{1197}{2530}\right)$	$e\left(\frac{194}{1265}\right)$	$e\left(\frac{43}{5060}\right)$	$e\left(\frac{762}{1265}\right)$	$e\left(\frac{661}{1012}\right)$
$\chi_{79350}(41,\cdot)$	79350.dm	2530	no	$-1$	$1$	$e\left(\frac{136}{253}\right)$	$e\left(\frac{111}{2530}\right)$	$e\left(\frac{827}{1265}\right)$	$e\left(\frac{343}{2530}\right)$	$e\left(\frac{879}{1265}\right)$	$e\left(\frac{387}{2530}\right)$	$e\left(\frac{719}{1265}\right)$	$e\left(\frac{762}{1265}\right)$	$e\left(\frac{1149}{2530}\right)$	$e\left(\frac{52}{253}\right)$
$\chi_{79350}(43,\cdot)$	79350.dd	1012	no	$1$	$1$	$e\left(\frac{641}{1012}\right)$	$e\left(\frac{485}{506}\right)$	$e\left(\frac{393}{1012}\right)$	$e\left(\frac{301}{1012}\right)$	$e\left(\frac{32}{253}\right)$	$e\left(\frac{255}{506}\right)$	$e\left(\frac{158}{253}\right)$	$e\left(\frac{661}{1012}\right)$	$e\left(\frac{52}{253}\right)$	$e\left(\frac{699}{1012}\right)$
$\chi_{79350}(47,\cdot)$	79350.cr	460	no	$1$	$1$	$e\left(\frac{31}{92}\right)$	$e\left(\frac{73}{230}\right)$	$e\left(\frac{349}{460}\right)$	$e\left(\frac{73}{460}\right)$	$e\left(\frac{59}{230}\right)$	$e\left(\frac{48}{115}\right)$	$e\left(\frac{17}{115}\right)$	$e\left(\frac{379}{460}\right)$	$e\left(\frac{47}{230}\right)$	$e\left(\frac{45}{92}\right)$
$\chi_{79350}(49,\cdot)$	79350.cx	506	no	$1$	$1$	$e\left(\frac{139}{506}\right)$	$e\left(\frac{237}{253}\right)$	$e\left(\frac{191}{506}\right)$	$e\left(\frac{145}{506}\right)$	$e\left(\frac{109}{253}\right)$	$e\left(\frac{122}{253}\right)$	$e\left(\frac{48}{253}\right)$	$e\left(\frac{347}{506}\right)$	$e\left(\frac{19}{253}\right)$	$e\left(\frac{135}{506}\right)$
$\chi_{79350}(53,\cdot)$	79350.do	5060	no	$-1$	$1$	$e\left(\frac{513}{1012}\right)$	$e\left(\frac{939}{1265}\right)$	$e\left(\frac{889}{5060}\right)$	$e\left(\frac{2683}{5060}\right)$	$e\left(\frac{102}{1265}\right)$	$e\left(\frac{778}{1265}\right)$	$e\left(\frac{472}{1265}\right)$	$e\left(\frac{4969}{5060}\right)$	$e\left(\frac{1217}{2530}\right)$	$e\left(\frac{531}{1012}\right)$
$\chi_{79350}(59,\cdot)$	79350.dk	2530	no	$-1$	$1$	$e\left(\frac{167}{506}\right)$	$e\left(\frac{1961}{2530}\right)$	$e\left(\frac{969}{2530}\right)$	$e\left(\frac{289}{1265}\right)$	$e\left(\frac{349}{1265}\right)$	$e\left(\frac{1777}{2530}\right)$	$e\left(\frac{474}{1265}\right)$	$e\left(\frac{359}{2530}\right)$	$e\left(\frac{59}{2530}\right)$	$e\left(\frac{235}{506}\right)$
$\chi_{79350}(61,\cdot)$	79350.dj	2530	no	$-1$	$1$	$e\left(\frac{37}{506}\right)$	$e\left(\frac{589}{2530}\right)$	$e\left(\frac{958}{1265}\right)$	$e\left(\frac{1387}{2530}\right)$	$e\left(\frac{747}{2530}\right)$	$e\left(\frac{1249}{1265}\right)$	$e\left(\frac{761}{1265}\right)$	$e\left(\frac{531}{2530}\right)$	$e\left(\frac{433}{1265}\right)$	$e\left(\frac{349}{506}\right)$
$\chi_{79350}(67,\cdot)$	79350.dq	5060	no	$1$	$1$	$e\left(\frac{175}{1012}\right)$	$e\left(\frac{1157}{2530}\right)$	$e\left(\frac{2491}{5060}\right)$	$e\left(\frac{2307}{5060}\right)$	$e\left(\frac{273}{1265}\right)$	$e\left(\frac{1709}{2530}\right)$	$e\left(\frac{668}{1265}\right)$	$e\left(\frac{3291}{5060}\right)$	$e\left(\frac{159}{1265}\right)$	$e\left(\frac{625}{1012}\right)$
$\chi_{79350}(71,\cdot)$	79350.dm	2530	no	$-1$	$1$	$e\left(\frac{140}{253}\right)$	$e\left(\frac{1223}{2530}\right)$	$e\left(\frac{576}{1265}\right)$	$e\left(\frac{1819}{2530}\right)$	$e\left(\frac{317}{1265}\right)$	$e\left(\frac{2281}{2530}\right)$	$e\left(\frac{822}{1265}\right)$	$e\left(\frac{1216}{1265}\right)$	$e\left(\frac{967}{2530}\right)$	$e\left(\frac{247}{253}\right)$
$\chi_{79350}(73,\cdot)$	79350.dp	5060	no	$-1$	$1$	$e\left(\frac{515}{1012}\right)$	$e\left(\frac{882}{1265}\right)$	$e\left(\frac{637}{5060}\right)$	$e\left(\frac{2799}{5060}\right)$	$e\left(\frac{2467}{2530}\right)$	$e\left(\frac{1603}{2530}\right)$	$e\left(\frac{896}{1265}\right)$	$e\left(\frac{1907}{5060}\right)$	$e\left(\frac{1198}{1265}\right)$	$e\left(\frac{249}{1012}\right)$
$\chi_{79350}(77,\cdot)$	79350.dr	5060	no	$1$	$1$	$e\left(\frac{613}{1012}\right)$	$e\left(\frac{479}{2530}\right)$	$e\left(\frac{4987}{5060}\right)$	$e\left(\frac{1399}{5060}\right)$	$e\left(\frac{2287}{2530}\right)$	$e\left(\frac{1194}{1265}\right)$	$e\left(\frac{926}{1265}\right)$	$e\left(\frac{2657}{5060}\right)$	$e\left(\frac{1471}{2530}\right)$	$e\left(\frac{599}{1012}\right)$
$\chi_{79350}(79,\cdot)$	79350.dn	2530	no	$-1$	$1$	$e\left(\frac{166}{253}\right)$	$e\left(\frac{1873}{2530}\right)$	$e\left(\frac{1937}{2530}\right)$	$e\left(\frac{267}{1265}\right)$	$e\left(\frac{159}{2530}\right)$	$e\left(\frac{718}{1265}\right)$	$e\left(\frac{1112}{1265}\right)$	$e\left(\frac{1131}{1265}\right)$	$e\left(\frac{651}{1265}\right)$	$e\left(\frac{123}{253}\right)$
$\chi_{79350}(83,\cdot)$	79350.do	5060	no	$-1$	$1$	$e\left(\frac{281}{1012}\right)$	$e\left(\frac{1226}{1265}\right)$	$e\left(\frac{4821}{5060}\right)$	$e\left(\frac{4407}{5060}\right)$	$e\left(\frac{408}{1265}\right)$	$e\left(\frac{582}{1265}\right)$	$e\left(\frac{623}{1265}\right)$	$e\left(\frac{901}{5060}\right)$	$e\left(\frac{1073}{2530}\right)$	$e\left(\frac{859}{1012}\right)$
$\chi_{79350}(89,\cdot)$	79350.dl	2530	no	$1$	$1$	$e\left(\frac{174}{253}\right)$	$e\left(\frac{657}{1265}\right)$	$e\left(\frac{2451}{2530}\right)$	$e\left(\frac{197}{2530}\right)$	$e\left(\frac{947}{2530}\right)$	$e\left(\frac{923}{2530}\right)$	$e\left(\frac{306}{1265}\right)$	$e\left(\frac{268}{1265}\right)$	$e\left(\frac{1191}{2530}\right)$	$e\left(\frac{7}{253}\right)$
$\chi_{79350}(91,\cdot)$	79350.cn	230	no	$-1$	$1$	$e\left(\frac{15}{46}\right)$	$e\left(\frac{61}{230}\right)$	$e\left(\frac{67}{115}\right)$	$e\left(\frac{203}{230}\right)$	$e\left(\frac{43}{230}\right)$	$e\left(\frac{111}{115}\right)$	$e\left(\frac{104}{115}\right)$	$e\left(\frac{219}{230}\right)$	$e\left(\frac{22}{115}\right)$	$e\left(\frac{1}{46}\right)$
$\chi_{79350}(97,\cdot)$	79350.dq	5060	no	$1$	$1$	$e\left(\frac{951}{1012}\right)$	$e\left(\frac{1453}{2530}\right)$	$e\left(\frac{2879}{5060}\right)$	$e\left(\frac{763}{5060}\right)$	$e\left(\frac{87}{1265}\right)$	$e\left(\frac{211}{2530}\right)$	$e\left(\frac{477}{1265}\right)$	$e\left(\frac{1299}{5060}\right)$	$e\left(\frac{426}{1265}\right)$	$e\left(\frac{505}{1012}\right)$
$\chi_{79350}(101,\cdot)$	79350.da	506	no	$-1$	$1$	$e\left(\frac{73}{253}\right)$	$e\left(\frac{365}{506}\right)$	$e\left(\frac{235}{253}\right)$	$e\left(\frac{125}{506}\right)$	$e\left(\frac{251}{253}\right)$	$e\left(\frac{411}{506}\right)$	$e\left(\frac{85}{253}\right)$	$e\left(\frac{215}{253}\right)$	$e\left(\frac{373}{506}\right)$	$e\left(\frac{80}{253}\right)$
$\chi_{79350}(103,\cdot)$	79350.dq	5060	no	$1$	$1$	$e\left(\frac{881}{1012}\right)$	$e\left(\frac{383}{2530}\right)$	$e\left(\frac{4109}{5060}\right)$	$e\left(\frac{4293}{5060}\right)$	$e\left(\frac{332}{1265}\right)$	$e\left(\frac{2361}{2530}\right)$	$e\left(\frac{817}{1265}\right)$	$e\left(\frac{2209}{5060}\right)$	$e\left(\frac{666}{1265}\right)$	$e\left(\frac{255}{1012}\right)$
$\chi_{79350}(107,\cdot)$	79350.df	1012	no	$-1$	$1$	$e\left(\frac{63}{1012}\right)$	$e\left(\frac{71}{253}\right)$	$e\left(\frac{487}{1012}\right)$	$e\left(\frac{73}{1012}\right)$	$e\left(\frac{133}{253}\right)$	$e\left(\frac{186}{253}\right)$	$e\left(\frac{40}{253}\right)$	$e\left(\frac{747}{1012}\right)$	$e\left(\frac{369}{506}\right)$	$e\left(\frac{225}{1012}\right)$
$\chi_{79350}(109,\cdot)$	79350.dn	2530	no	$-1$	$1$	$e\left(\frac{50}{253}\right)$	$e\left(\frac{491}{2530}\right)$	$e\left(\frac{809}{2530}\right)$	$e\left(\frac{1129}{1265}\right)$	$e\left(\frac{1383}{2530}\right)$	$e\left(\frac{326}{1265}\right)$	$e\left(\frac{149}{1265}\right)$	$e\left(\frac{362}{1265}\right)$	$e\left(\frac{507}{1265}\right)$	$e\left(\frac{34}{253}\right)$
$\chi_{79350}(113,\cdot)$	79350.do	5060	no	$-1$	$1$	$e\left(\frac{637}{1012}\right)$	$e\left(\frac{188}{1265}\right)$	$e\left(\frac{4493}{5060}\right)$	$e\left(\frac{2791}{5060}\right)$	$e\left(\frac{174}{1265}\right)$	$e\left(\frac{211}{1265}\right)$	$e\left(\frac{954}{1265}\right)$	$e\left(\frac{1333}{5060}\right)$	$e\left(\frac{439}{2530}\right)$	$e\left(\frac{251}{1012}\right)$
$\chi_{79350}(119,\cdot)$	79350.dk	2530	no	$-1$	$1$	$e\left(\frac{395}{506}\right)$	$e\left(\frac{257}{2530}\right)$	$e\left(\frac{1083}{2530}\right)$	$e\left(\frac{323}{1265}\right)$	$e\left(\frac{18}{1265}\right)$	$e\left(\frac{349}{2530}\right)$	$e\left(\frac{753}{1265}\right)$	$e\left(\frac{1443}{2530}\right)$	$e\left(\frac{1703}{2530}\right)$	$e\left(\frac{471}{506}\right)$
$\chi_{79350}(121,\cdot)$	79350.dg	1265	no	$1$	$1$	$e\left(\frac{237}{253}\right)$	$e\left(\frac{559}{1265}\right)$	$e\left(\frac{751}{1265}\right)$	$e\left(\frac{337}{1265}\right)$	$e\left(\frac{477}{1265}\right)$	$e\left(\frac{513}{1265}\right)$	$e\left(\frac{347}{1265}\right)$	$e\left(\frac{461}{1265}\right)$	$e\left(\frac{111}{1265}\right)$	$e\left(\frac{232}{253}\right)$

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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	$79350$
Structure	\(C_{2}\times C_{2}\times C_{5060}\)
Order	$20240$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)
\(\chi_{79350}(1,\cdot)\)	79350.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{79350}(7,\cdot)\)	79350.dd	1012	no	\(1\)	\(1\)	\(e\left(\frac{139}{1012}\right)\)	\(e\left(\frac{237}{506}\right)\)	\(e\left(\frac{191}{1012}\right)\)	\(e\left(\frac{651}{1012}\right)\)	\(e\left(\frac{181}{253}\right)\)	\(e\left(\frac{375}{506}\right)\)	\(e\left(\frac{24}{253}\right)\)	\(e\left(\frac{347}{1012}\right)\)	\(e\left(\frac{136}{253}\right)\)	\(e\left(\frac{641}{1012}\right)\)
\(\chi_{79350}(11,\cdot)\)	79350.dh	2530	no	\(1\)	\(1\)	\(e\left(\frac{237}{506}\right)\)	\(e\left(\frac{912}{1265}\right)\)	\(e\left(\frac{1008}{1265}\right)\)	\(e\left(\frac{801}{1265}\right)\)	\(e\left(\frac{477}{2530}\right)\)	\(e\left(\frac{513}{2530}\right)\)	\(e\left(\frac{806}{1265}\right)\)	\(e\left(\frac{461}{2530}\right)\)	\(e\left(\frac{111}{2530}\right)\)	\(e\left(\frac{485}{506}\right)\)
\(\chi_{79350}(13,\cdot)\)	79350.dp	5060	no	\(-1\)	\(1\)	\(e\left(\frac{191}{1012}\right)\)	\(e\left(\frac{1008}{1265}\right)\)	\(e\left(\frac{1993}{5060}\right)\)	\(e\left(\frac{1211}{5060}\right)\)	\(e\left(\frac{1193}{2530}\right)\)	\(e\left(\frac{567}{2530}\right)\)	\(e\left(\frac{1024}{1265}\right)\)	\(e\left(\frac{3083}{5060}\right)\)	\(e\left(\frac{827}{1265}\right)\)	\(e\left(\frac{393}{1012}\right)\)
\(\chi_{79350}(17,\cdot)\)	79350.do	5060	no	\(-1\)	\(1\)	\(e\left(\frac{651}{1012}\right)\)	\(e\left(\frac{801}{1265}\right)\)	\(e\left(\frac{1211}{5060}\right)\)	\(e\left(\frac{3097}{5060}\right)\)	\(e\left(\frac{378}{1265}\right)\)	\(e\left(\frac{502}{1265}\right)\)	\(e\left(\frac{633}{1265}\right)\)	\(e\left(\frac{1151}{5060}\right)\)	\(e\left(\frac{343}{2530}\right)\)	\(e\left(\frac{301}{1012}\right)\)
\(\chi_{79350}(19,\cdot)\)	79350.dn	2530	no	\(-1\)	\(1\)	\(e\left(\frac{181}{253}\right)\)	\(e\left(\frac{477}{2530}\right)\)	\(e\left(\frac{1193}{2530}\right)\)	\(e\left(\frac{378}{1265}\right)\)	\(e\left(\frac{751}{2530}\right)\)	\(e\left(\frac{917}{1265}\right)\)	\(e\left(\frac{423}{1265}\right)\)	\(e\left(\frac{1189}{1265}\right)\)	\(e\left(\frac{879}{1265}\right)\)	\(e\left(\frac{32}{253}\right)\)
\(\chi_{79350}(29,\cdot)\)	79350.dk	2530	no	\(-1\)	\(1\)	\(e\left(\frac{375}{506}\right)\)	\(e\left(\frac{513}{2530}\right)\)	\(e\left(\frac{567}{2530}\right)\)	\(e\left(\frac{502}{1265}\right)\)	\(e\left(\frac{917}{1265}\right)\)	\(e\left(\frac{421}{2530}\right)\)	\(e\left(\frac{622}{1265}\right)\)	\(e\left(\frac{1197}{2530}\right)\)	\(e\left(\frac{387}{2530}\right)\)	\(e\left(\frac{255}{506}\right)\)
\(\chi_{79350}(31,\cdot)\)	79350.dg	1265	no	\(1\)	\(1\)	\(e\left(\frac{24}{253}\right)\)	\(e\left(\frac{806}{1265}\right)\)	\(e\left(\frac{1024}{1265}\right)\)	\(e\left(\frac{633}{1265}\right)\)	\(e\left(\frac{423}{1265}\right)\)	\(e\left(\frac{622}{1265}\right)\)	\(e\left(\frac{618}{1265}\right)\)	\(e\left(\frac{194}{1265}\right)\)	\(e\left(\frac{719}{1265}\right)\)	\(e\left(\frac{158}{253}\right)\)
\(\chi_{79350}(37,\cdot)\)	79350.dq	5060	no	\(1\)	\(1\)	\(e\left(\frac{347}{1012}\right)\)	\(e\left(\frac{461}{2530}\right)\)	\(e\left(\frac{3083}{5060}\right)\)	\(e\left(\frac{1151}{5060}\right)\)	\(e\left(\frac{1189}{1265}\right)\)	\(e\left(\frac{1197}{2530}\right)\)	\(e\left(\frac{194}{1265}\right)\)	\(e\left(\frac{43}{5060}\right)\)	\(e\left(\frac{762}{1265}\right)\)	\(e\left(\frac{661}{1012}\right)\)
\(\chi_{79350}(41,\cdot)\)	79350.dm	2530	no	\(-1\)	\(1\)	\(e\left(\frac{136}{253}\right)\)	\(e\left(\frac{111}{2530}\right)\)	\(e\left(\frac{827}{1265}\right)\)	\(e\left(\frac{343}{2530}\right)\)	\(e\left(\frac{879}{1265}\right)\)	\(e\left(\frac{387}{2530}\right)\)	\(e\left(\frac{719}{1265}\right)\)	\(e\left(\frac{762}{1265}\right)\)	\(e\left(\frac{1149}{2530}\right)\)	\(e\left(\frac{52}{253}\right)\)
\(\chi_{79350}(43,\cdot)\)	79350.dd	1012	no	\(1\)	\(1\)	\(e\left(\frac{641}{1012}\right)\)	\(e\left(\frac{485}{506}\right)\)	\(e\left(\frac{393}{1012}\right)\)	\(e\left(\frac{301}{1012}\right)\)	\(e\left(\frac{32}{253}\right)\)	\(e\left(\frac{255}{506}\right)\)	\(e\left(\frac{158}{253}\right)\)	\(e\left(\frac{661}{1012}\right)\)	\(e\left(\frac{52}{253}\right)\)	\(e\left(\frac{699}{1012}\right)\)
\(\chi_{79350}(47,\cdot)\)	79350.cr	460	no	\(1\)	\(1\)	\(e\left(\frac{31}{92}\right)\)	\(e\left(\frac{73}{230}\right)\)	\(e\left(\frac{349}{460}\right)\)	\(e\left(\frac{73}{460}\right)\)	\(e\left(\frac{59}{230}\right)\)	\(e\left(\frac{48}{115}\right)\)	\(e\left(\frac{17}{115}\right)\)	\(e\left(\frac{379}{460}\right)\)	\(e\left(\frac{47}{230}\right)\)	\(e\left(\frac{45}{92}\right)\)
\(\chi_{79350}(49,\cdot)\)	79350.cx	506	no	\(1\)	\(1\)	\(e\left(\frac{139}{506}\right)\)	\(e\left(\frac{237}{253}\right)\)	\(e\left(\frac{191}{506}\right)\)	\(e\left(\frac{145}{506}\right)\)	\(e\left(\frac{109}{253}\right)\)	\(e\left(\frac{122}{253}\right)\)	\(e\left(\frac{48}{253}\right)\)	\(e\left(\frac{347}{506}\right)\)	\(e\left(\frac{19}{253}\right)\)	\(e\left(\frac{135}{506}\right)\)
\(\chi_{79350}(53,\cdot)\)	79350.do	5060	no	\(-1\)	\(1\)	\(e\left(\frac{513}{1012}\right)\)	\(e\left(\frac{939}{1265}\right)\)	\(e\left(\frac{889}{5060}\right)\)	\(e\left(\frac{2683}{5060}\right)\)	\(e\left(\frac{102}{1265}\right)\)	\(e\left(\frac{778}{1265}\right)\)	\(e\left(\frac{472}{1265}\right)\)	\(e\left(\frac{4969}{5060}\right)\)	\(e\left(\frac{1217}{2530}\right)\)	\(e\left(\frac{531}{1012}\right)\)
\(\chi_{79350}(59,\cdot)\)	79350.dk	2530	no	\(-1\)	\(1\)	\(e\left(\frac{167}{506}\right)\)	\(e\left(\frac{1961}{2530}\right)\)	\(e\left(\frac{969}{2530}\right)\)	\(e\left(\frac{289}{1265}\right)\)	\(e\left(\frac{349}{1265}\right)\)	\(e\left(\frac{1777}{2530}\right)\)	\(e\left(\frac{474}{1265}\right)\)	\(e\left(\frac{359}{2530}\right)\)	\(e\left(\frac{59}{2530}\right)\)	\(e\left(\frac{235}{506}\right)\)
\(\chi_{79350}(61,\cdot)\)	79350.dj	2530	no	\(-1\)	\(1\)	\(e\left(\frac{37}{506}\right)\)	\(e\left(\frac{589}{2530}\right)\)	\(e\left(\frac{958}{1265}\right)\)	\(e\left(\frac{1387}{2530}\right)\)	\(e\left(\frac{747}{2530}\right)\)	\(e\left(\frac{1249}{1265}\right)\)	\(e\left(\frac{761}{1265}\right)\)	\(e\left(\frac{531}{2530}\right)\)	\(e\left(\frac{433}{1265}\right)\)	\(e\left(\frac{349}{506}\right)\)
\(\chi_{79350}(67,\cdot)\)	79350.dq	5060	no	\(1\)	\(1\)	\(e\left(\frac{175}{1012}\right)\)	\(e\left(\frac{1157}{2530}\right)\)	\(e\left(\frac{2491}{5060}\right)\)	\(e\left(\frac{2307}{5060}\right)\)	\(e\left(\frac{273}{1265}\right)\)	\(e\left(\frac{1709}{2530}\right)\)	\(e\left(\frac{668}{1265}\right)\)	\(e\left(\frac{3291}{5060}\right)\)	\(e\left(\frac{159}{1265}\right)\)	\(e\left(\frac{625}{1012}\right)\)
\(\chi_{79350}(71,\cdot)\)	79350.dm	2530	no	\(-1\)	\(1\)	\(e\left(\frac{140}{253}\right)\)	\(e\left(\frac{1223}{2530}\right)\)	\(e\left(\frac{576}{1265}\right)\)	\(e\left(\frac{1819}{2530}\right)\)	\(e\left(\frac{317}{1265}\right)\)	\(e\left(\frac{2281}{2530}\right)\)	\(e\left(\frac{822}{1265}\right)\)	\(e\left(\frac{1216}{1265}\right)\)	\(e\left(\frac{967}{2530}\right)\)	\(e\left(\frac{247}{253}\right)\)
\(\chi_{79350}(73,\cdot)\)	79350.dp	5060	no	\(-1\)	\(1\)	\(e\left(\frac{515}{1012}\right)\)	\(e\left(\frac{882}{1265}\right)\)	\(e\left(\frac{637}{5060}\right)\)	\(e\left(\frac{2799}{5060}\right)\)	\(e\left(\frac{2467}{2530}\right)\)	\(e\left(\frac{1603}{2530}\right)\)	\(e\left(\frac{896}{1265}\right)\)	\(e\left(\frac{1907}{5060}\right)\)	\(e\left(\frac{1198}{1265}\right)\)	\(e\left(\frac{249}{1012}\right)\)
\(\chi_{79350}(77,\cdot)\)	79350.dr	5060	no	\(1\)	\(1\)	\(e\left(\frac{613}{1012}\right)\)	\(e\left(\frac{479}{2530}\right)\)	\(e\left(\frac{4987}{5060}\right)\)	\(e\left(\frac{1399}{5060}\right)\)	\(e\left(\frac{2287}{2530}\right)\)	\(e\left(\frac{1194}{1265}\right)\)	\(e\left(\frac{926}{1265}\right)\)	\(e\left(\frac{2657}{5060}\right)\)	\(e\left(\frac{1471}{2530}\right)\)	\(e\left(\frac{599}{1012}\right)\)
\(\chi_{79350}(79,\cdot)\)	79350.dn	2530	no	\(-1\)	\(1\)	\(e\left(\frac{166}{253}\right)\)	\(e\left(\frac{1873}{2530}\right)\)	\(e\left(\frac{1937}{2530}\right)\)	\(e\left(\frac{267}{1265}\right)\)	\(e\left(\frac{159}{2530}\right)\)	\(e\left(\frac{718}{1265}\right)\)	\(e\left(\frac{1112}{1265}\right)\)	\(e\left(\frac{1131}{1265}\right)\)	\(e\left(\frac{651}{1265}\right)\)	\(e\left(\frac{123}{253}\right)\)
\(\chi_{79350}(83,\cdot)\)	79350.do	5060	no	\(-1\)	\(1\)	\(e\left(\frac{281}{1012}\right)\)	\(e\left(\frac{1226}{1265}\right)\)	\(e\left(\frac{4821}{5060}\right)\)	\(e\left(\frac{4407}{5060}\right)\)	\(e\left(\frac{408}{1265}\right)\)	\(e\left(\frac{582}{1265}\right)\)	\(e\left(\frac{623}{1265}\right)\)	\(e\left(\frac{901}{5060}\right)\)	\(e\left(\frac{1073}{2530}\right)\)	\(e\left(\frac{859}{1012}\right)\)
\(\chi_{79350}(89,\cdot)\)	79350.dl	2530	no	\(1\)	\(1\)	\(e\left(\frac{174}{253}\right)\)	\(e\left(\frac{657}{1265}\right)\)	\(e\left(\frac{2451}{2530}\right)\)	\(e\left(\frac{197}{2530}\right)\)	\(e\left(\frac{947}{2530}\right)\)	\(e\left(\frac{923}{2530}\right)\)	\(e\left(\frac{306}{1265}\right)\)	\(e\left(\frac{268}{1265}\right)\)	\(e\left(\frac{1191}{2530}\right)\)	\(e\left(\frac{7}{253}\right)\)
\(\chi_{79350}(91,\cdot)\)	79350.cn	230	no	\(-1\)	\(1\)	\(e\left(\frac{15}{46}\right)\)	\(e\left(\frac{61}{230}\right)\)	\(e\left(\frac{67}{115}\right)\)	\(e\left(\frac{203}{230}\right)\)	\(e\left(\frac{43}{230}\right)\)	\(e\left(\frac{111}{115}\right)\)	\(e\left(\frac{104}{115}\right)\)	\(e\left(\frac{219}{230}\right)\)	\(e\left(\frac{22}{115}\right)\)	\(e\left(\frac{1}{46}\right)\)
\(\chi_{79350}(97,\cdot)\)	79350.dq	5060	no	\(1\)	\(1\)	\(e\left(\frac{951}{1012}\right)\)	\(e\left(\frac{1453}{2530}\right)\)	\(e\left(\frac{2879}{5060}\right)\)	\(e\left(\frac{763}{5060}\right)\)	\(e\left(\frac{87}{1265}\right)\)	\(e\left(\frac{211}{2530}\right)\)	\(e\left(\frac{477}{1265}\right)\)	\(e\left(\frac{1299}{5060}\right)\)	\(e\left(\frac{426}{1265}\right)\)	\(e\left(\frac{505}{1012}\right)\)
\(\chi_{79350}(101,\cdot)\)	79350.da	506	no	\(-1\)	\(1\)	\(e\left(\frac{73}{253}\right)\)	\(e\left(\frac{365}{506}\right)\)	\(e\left(\frac{235}{253}\right)\)	\(e\left(\frac{125}{506}\right)\)	\(e\left(\frac{251}{253}\right)\)	\(e\left(\frac{411}{506}\right)\)	\(e\left(\frac{85}{253}\right)\)	\(e\left(\frac{215}{253}\right)\)	\(e\left(\frac{373}{506}\right)\)	\(e\left(\frac{80}{253}\right)\)
\(\chi_{79350}(103,\cdot)\)	79350.dq	5060	no	\(1\)	\(1\)	\(e\left(\frac{881}{1012}\right)\)	\(e\left(\frac{383}{2530}\right)\)	\(e\left(\frac{4109}{5060}\right)\)	\(e\left(\frac{4293}{5060}\right)\)	\(e\left(\frac{332}{1265}\right)\)	\(e\left(\frac{2361}{2530}\right)\)	\(e\left(\frac{817}{1265}\right)\)	\(e\left(\frac{2209}{5060}\right)\)	\(e\left(\frac{666}{1265}\right)\)	\(e\left(\frac{255}{1012}\right)\)
\(\chi_{79350}(107,\cdot)\)	79350.df	1012	no	\(-1\)	\(1\)	\(e\left(\frac{63}{1012}\right)\)	\(e\left(\frac{71}{253}\right)\)	\(e\left(\frac{487}{1012}\right)\)	\(e\left(\frac{73}{1012}\right)\)	\(e\left(\frac{133}{253}\right)\)	\(e\left(\frac{186}{253}\right)\)	\(e\left(\frac{40}{253}\right)\)	\(e\left(\frac{747}{1012}\right)\)	\(e\left(\frac{369}{506}\right)\)	\(e\left(\frac{225}{1012}\right)\)
\(\chi_{79350}(109,\cdot)\)	79350.dn	2530	no	\(-1\)	\(1\)	\(e\left(\frac{50}{253}\right)\)	\(e\left(\frac{491}{2530}\right)\)	\(e\left(\frac{809}{2530}\right)\)	\(e\left(\frac{1129}{1265}\right)\)	\(e\left(\frac{1383}{2530}\right)\)	\(e\left(\frac{326}{1265}\right)\)	\(e\left(\frac{149}{1265}\right)\)	\(e\left(\frac{362}{1265}\right)\)	\(e\left(\frac{507}{1265}\right)\)	\(e\left(\frac{34}{253}\right)\)
\(\chi_{79350}(113,\cdot)\)	79350.do	5060	no	\(-1\)	\(1\)	\(e\left(\frac{637}{1012}\right)\)	\(e\left(\frac{188}{1265}\right)\)	\(e\left(\frac{4493}{5060}\right)\)	\(e\left(\frac{2791}{5060}\right)\)	\(e\left(\frac{174}{1265}\right)\)	\(e\left(\frac{211}{1265}\right)\)	\(e\left(\frac{954}{1265}\right)\)	\(e\left(\frac{1333}{5060}\right)\)	\(e\left(\frac{439}{2530}\right)\)	\(e\left(\frac{251}{1012}\right)\)
\(\chi_{79350}(119,\cdot)\)	79350.dk	2530	no	\(-1\)	\(1\)	\(e\left(\frac{395}{506}\right)\)	\(e\left(\frac{257}{2530}\right)\)	\(e\left(\frac{1083}{2530}\right)\)	\(e\left(\frac{323}{1265}\right)\)	\(e\left(\frac{18}{1265}\right)\)	\(e\left(\frac{349}{2530}\right)\)	\(e\left(\frac{753}{1265}\right)\)	\(e\left(\frac{1443}{2530}\right)\)	\(e\left(\frac{1703}{2530}\right)\)	\(e\left(\frac{471}{506}\right)\)
\(\chi_{79350}(121,\cdot)\)	79350.dg	1265	no	\(1\)	\(1\)	\(e\left(\frac{237}{253}\right)\)	\(e\left(\frac{559}{1265}\right)\)	\(e\left(\frac{751}{1265}\right)\)	\(e\left(\frac{337}{1265}\right)\)	\(e\left(\frac{477}{1265}\right)\)	\(e\left(\frac{513}{1265}\right)\)	\(e\left(\frac{347}{1265}\right)\)	\(e\left(\frac{461}{1265}\right)\)	\(e\left(\frac{111}{1265}\right)\)	\(e\left(\frac{232}{253}\right)\)

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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.