LMFDB - Group of Dirichlet characters of modulus 790142

Show commands: PariGP / SageMath

sage: H = DirichletGroup(790142)

pari: g = idealstar(,790142,2)

Character group

sage: G.order() pari: g.no
Order	=	371712
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{88}\times C_{2112}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{790142}(377895,\cdot)$, $\chi_{790142}(71025,\cdot)$, $\chi_{790142}(270205,\cdot)$

First 32 of 371712 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	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$19$	$21$
$\chi_{790142}(1,\cdot)$	790142.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{790142}(3,\cdot)$	790142.bnm	176	no	$-1$	$1$	$e\left(\frac{35}{88}\right)$	$e\left(\frac{169}{176}\right)$	$e\left(\frac{21}{88}\right)$	$e\left(\frac{35}{44}\right)$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{23}{176}\right)$	$e\left(\frac{63}{176}\right)$	$e\left(\frac{127}{176}\right)$	$e\left(\frac{131}{176}\right)$	$e\left(\frac{7}{11}\right)$
$\chi_{790142}(5,\cdot)$	790142.dln	2112	no	$1$	$1$	$e\left(\frac{169}{176}\right)$	$e\left(\frac{1547}{2112}\right)$	$e\left(\frac{221}{264}\right)$	$e\left(\frac{81}{88}\right)$	$e\left(\frac{127}{704}\right)$	$e\left(\frac{469}{704}\right)$	$e\left(\frac{133}{192}\right)$	$e\left(\frac{533}{2112}\right)$	$e\left(\frac{587}{2112}\right)$	$e\left(\frac{421}{528}\right)$
$\chi_{790142}(7,\cdot)$	790142.bve	264	no	$1$	$1$	$e\left(\frac{21}{88}\right)$	$e\left(\frac{221}{264}\right)$	$e\left(\frac{79}{264}\right)$	$e\left(\frac{21}{44}\right)$	$e\left(\frac{19}{88}\right)$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{5}{66}\right)$	$e\left(\frac{95}{264}\right)$	$e\left(\frac{47}{66}\right)$	$e\left(\frac{71}{132}\right)$
$\chi_{790142}(9,\cdot)$	790142.bap	88	no	$1$	$1$	$e\left(\frac{35}{44}\right)$	$e\left(\frac{81}{88}\right)$	$e\left(\frac{21}{44}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{23}{88}\right)$	$e\left(\frac{63}{88}\right)$	$e\left(\frac{39}{88}\right)$	$e\left(\frac{43}{88}\right)$	$e\left(\frac{3}{11}\right)$
$\chi_{790142}(11,\cdot)$	790142.cvj	704	no	$1$	$1$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{127}{704}\right)$	$e\left(\frac{19}{88}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{201}{704}\right)$	$e\left(\frac{51}{704}\right)$	$e\left(\frac{523}{704}\right)$	$e\left(\frac{97}{704}\right)$	$e\left(\frac{527}{704}\right)$	$e\left(\frac{137}{176}\right)$
$\chi_{790142}(13,\cdot)$	790142.csb	704	no	$1$	$1$	$e\left(\frac{23}{176}\right)$	$e\left(\frac{469}{704}\right)$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{23}{88}\right)$	$e\left(\frac{51}{704}\right)$	$e\left(\frac{329}{704}\right)$	$e\left(\frac{51}{64}\right)$	$e\left(\frac{555}{704}\right)$	$e\left(\frac{125}{704}\right)$	$e\left(\frac{135}{176}\right)$
$\chi_{790142}(15,\cdot)$	790142.dgs	2112	no	$-1$	$1$	$e\left(\frac{63}{176}\right)$	$e\left(\frac{133}{192}\right)$	$e\left(\frac{5}{66}\right)$	$e\left(\frac{63}{88}\right)$	$e\left(\frac{523}{704}\right)$	$e\left(\frac{51}{64}\right)$	$e\left(\frac{107}{2112}\right)$	$e\left(\frac{187}{192}\right)$	$e\left(\frac{47}{2112}\right)$	$e\left(\frac{229}{528}\right)$
$\chi_{790142}(17,\cdot)$	790142.diw	2112	no	$1$	$1$	$e\left(\frac{127}{176}\right)$	$e\left(\frac{533}{2112}\right)$	$e\left(\frac{95}{264}\right)$	$e\left(\frac{39}{88}\right)$	$e\left(\frac{97}{704}\right)$	$e\left(\frac{555}{704}\right)$	$e\left(\frac{187}{192}\right)$	$e\left(\frac{1355}{2112}\right)$	$e\left(\frac{1205}{2112}\right)$	$e\left(\frac{43}{528}\right)$
$\chi_{790142}(19,\cdot)$	790142.dgz	2112	no	$-1$	$1$	$e\left(\frac{131}{176}\right)$	$e\left(\frac{587}{2112}\right)$	$e\left(\frac{47}{66}\right)$	$e\left(\frac{43}{88}\right)$	$e\left(\frac{527}{704}\right)$	$e\left(\frac{125}{704}\right)$	$e\left(\frac{47}{2112}\right)$	$e\left(\frac{1205}{2112}\right)$	$e\left(\frac{1379}{2112}\right)$	$e\left(\frac{241}{528}\right)$
$\chi_{790142}(21,\cdot)$	790142.clb	528	no	$-1$	$1$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{421}{528}\right)$	$e\left(\frac{71}{132}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{137}{176}\right)$	$e\left(\frac{135}{176}\right)$	$e\left(\frac{229}{528}\right)$	$e\left(\frac{43}{528}\right)$	$e\left(\frac{241}{528}\right)$	$e\left(\frac{23}{132}\right)$
$\chi_{790142}(25,\cdot)$	790142.dcp	1056	no	$1$	$1$	$e\left(\frac{81}{88}\right)$	$e\left(\frac{491}{1056}\right)$	$e\left(\frac{89}{132}\right)$	$e\left(\frac{37}{44}\right)$	$e\left(\frac{127}{352}\right)$	$e\left(\frac{117}{352}\right)$	$e\left(\frac{37}{96}\right)$	$e\left(\frac{533}{1056}\right)$	$e\left(\frac{587}{1056}\right)$	$e\left(\frac{157}{264}\right)$
$\chi_{790142}(27,\cdot)$	790142.bnm	176	no	$-1$	$1$	$e\left(\frac{17}{88}\right)$	$e\left(\frac{155}{176}\right)$	$e\left(\frac{63}{88}\right)$	$e\left(\frac{17}{44}\right)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{69}{176}\right)$	$e\left(\frac{13}{176}\right)$	$e\left(\frac{29}{176}\right)$	$e\left(\frac{41}{176}\right)$	$e\left(\frac{10}{11}\right)$
$\chi_{790142}(29,\cdot)$	790142.ctq	704	no	$1$	$1$	$e\left(\frac{101}{176}\right)$	$e\left(\frac{25}{64}\right)$	$e\left(\frac{21}{44}\right)$	$e\left(\frac{13}{88}\right)$	$e\left(\frac{645}{704}\right)$	$e\left(\frac{13}{64}\right)$	$e\left(\frac{679}{704}\right)$	$e\left(\frac{39}{64}\right)$	$e\left(\frac{443}{704}\right)$	$e\left(\frac{9}{176}\right)$
$\chi_{790142}(31,\cdot)$	790142.dfx	1056	no	$-1$	$1$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{379}{1056}\right)$	$e\left(\frac{35}{264}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{71}{352}\right)$	$e\left(\frac{49}{352}\right)$	$e\left(\frac{1003}{1056}\right)$	$e\left(\frac{277}{1056}\right)$	$e\left(\frac{367}{1056}\right)$	$e\left(\frac{191}{264}\right)$
$\chi_{790142}(33,\cdot)$	790142.cst	704	no	$-1$	$1$	$e\left(\frac{169}{176}\right)$	$e\left(\frac{9}{64}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{81}{88}\right)$	$e\left(\frac{597}{704}\right)$	$e\left(\frac{13}{64}\right)$	$e\left(\frac{71}{704}\right)$	$e\left(\frac{55}{64}\right)$	$e\left(\frac{347}{704}\right)$	$e\left(\frac{73}{176}\right)$
$\chi_{790142}(35,\cdot)$	790142.cyn	704	no	$1$	$1$	$e\left(\frac{35}{176}\right)$	$e\left(\frac{401}{704}\right)$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{35}{88}\right)$	$e\left(\frac{279}{704}\right)$	$e\left(\frac{213}{704}\right)$	$e\left(\frac{541}{704}\right)$	$e\left(\frac{431}{704}\right)$	$e\left(\frac{697}{704}\right)$	$e\left(\frac{59}{176}\right)$
$\chi_{790142}(37,\cdot)$	790142.dnl	2112	no	$-1$	$1$	$e\left(\frac{103}{176}\right)$	$e\left(\frac{1543}{2112}\right)$	$e\left(\frac{32}{33}\right)$	$e\left(\frac{15}{88}\right)$	$e\left(\frac{603}{704}\right)$	$e\left(\frac{641}{704}\right)$	$e\left(\frac{667}{2112}\right)$	$e\left(\frac{505}{2112}\right)$	$e\left(\frac{991}{2112}\right)$	$e\left(\frac{293}{528}\right)$
$\chi_{790142}(39,\cdot)$	790142.cwd	704	no	$-1$	$1$	$e\left(\frac{93}{176}\right)$	$e\left(\frac{441}{704}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{5}{88}\right)$	$e\left(\frac{447}{704}\right)$	$e\left(\frac{421}{704}\right)$	$e\left(\frac{109}{704}\right)$	$e\left(\frac{359}{704}\right)$	$e\left(\frac{59}{64}\right)$	$e\left(\frac{71}{176}\right)$
$\chi_{790142}(41,\cdot)$	790142.dnd	2112	no	$1$	$1$	$e\left(\frac{5}{176}\right)$	$e\left(\frac{7}{192}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{5}{88}\right)$	$e\left(\frac{617}{704}\right)$	$e\left(\frac{1}{64}\right)$	$e\left(\frac{137}{2112}\right)$	$e\left(\frac{121}{192}\right)$	$e\left(\frac{1205}{2112}\right)$	$e\left(\frac{271}{528}\right)$
$\chi_{790142}(43,\cdot)$	790142.xc	88	no	$1$	$1$	$e\left(\frac{41}{88}\right)$	$e\left(\frac{37}{88}\right)$	$e\left(\frac{1}{88}\right)$	$e\left(\frac{41}{44}\right)$	$e\left(\frac{53}{88}\right)$	$e\left(\frac{17}{44}\right)$	$e\left(\frac{39}{44}\right)$	$e\left(\frac{39}{88}\right)$	$e\left(\frac{3}{44}\right)$	$e\left(\frac{21}{44}\right)$
$\chi_{790142}(45,\cdot)$	790142.dki	2112	no	$1$	$1$	$e\left(\frac{133}{176}\right)$	$e\left(\frac{1379}{2112}\right)$	$e\left(\frac{83}{264}\right)$	$e\left(\frac{45}{88}\right)$	$e\left(\frac{215}{704}\right)$	$e\left(\frac{653}{704}\right)$	$e\left(\frac{863}{2112}\right)$	$e\left(\frac{1469}{2112}\right)$	$e\left(\frac{1619}{2112}\right)$	$e\left(\frac{37}{528}\right)$
$\chi_{790142}(47,\cdot)$	790142.djh	2112	no	$-1$	$1$	$e\left(\frac{53}{176}\right)$	$e\left(\frac{223}{2112}\right)$	$e\left(\frac{109}{264}\right)$	$e\left(\frac{53}{88}\right)$	$e\left(\frac{131}{704}\right)$	$e\left(\frac{289}{704}\right)$	$e\left(\frac{859}{2112}\right)$	$e\left(\frac{769}{2112}\right)$	$e\left(\frac{799}{2112}\right)$	$e\left(\frac{377}{528}\right)$
$\chi_{790142}(49,\cdot)$	790142.bhb	132	no	$1$	$1$	$e\left(\frac{21}{44}\right)$	$e\left(\frac{89}{132}\right)$	$e\left(\frac{79}{132}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{19}{44}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{5}{33}\right)$	$e\left(\frac{95}{132}\right)$	$e\left(\frac{14}{33}\right)$	$e\left(\frac{5}{66}\right)$
$\chi_{790142}(51,\cdot)$	790142.dhz	2112	no	$-1$	$1$	$e\left(\frac{21}{176}\right)$	$e\left(\frac{449}{2112}\right)$	$e\left(\frac{79}{132}\right)$	$e\left(\frac{21}{88}\right)$	$e\left(\frac{493}{704}\right)$	$e\left(\frac{647}{704}\right)$	$e\left(\frac{701}{2112}\right)$	$e\left(\frac{767}{2112}\right)$	$e\left(\frac{665}{2112}\right)$	$e\left(\frac{379}{528}\right)$
$\chi_{790142}(53,\cdot)$	790142.dlo	2112	no	$1$	$1$	$e\left(\frac{69}{176}\right)$	$e\left(\frac{655}{2112}\right)$	$e\left(\frac{241}{264}\right)$	$e\left(\frac{69}{88}\right)$	$e\left(\frac{435}{704}\right)$	$e\left(\frac{17}{704}\right)$	$e\left(\frac{1483}{2112}\right)$	$e\left(\frac{1681}{2112}\right)$	$e\left(\frac{271}{2112}\right)$	$e\left(\frac{161}{528}\right)$
$\chi_{790142}(55,\cdot)$	790142.cao	264	no	$1$	$1$	$e\left(\frac{23}{44}\right)$	$e\left(\frac{241}{264}\right)$	$e\left(\frac{7}{132}\right)$	$e\left(\frac{1}{22}\right)$	$e\left(\frac{41}{88}\right)$	$e\left(\frac{65}{88}\right)$	$e\left(\frac{115}{264}\right)$	$e\left(\frac{103}{264}\right)$	$e\left(\frac{7}{264}\right)$	$e\left(\frac{19}{33}\right)$
$\chi_{790142}(57,\cdot)$	790142.dkk	2112	no	$1$	$1$	$e\left(\frac{25}{176}\right)$	$e\left(\frac{503}{2112}\right)$	$e\left(\frac{251}{264}\right)$	$e\left(\frac{25}{88}\right)$	$e\left(\frac{219}{704}\right)$	$e\left(\frac{217}{704}\right)$	$e\left(\frac{73}{192}\right)$	$e\left(\frac{617}{2112}\right)$	$e\left(\frac{839}{2112}\right)$	$e\left(\frac{49}{528}\right)$
$\chi_{790142}(59,\cdot)$	790142.cnp	528	no	$-1$	$1$	$e\left(\frac{37}{88}\right)$	$e\left(\frac{323}{528}\right)$	$e\left(\frac{221}{264}\right)$	$e\left(\frac{37}{44}\right)$	$e\left(\frac{147}{176}\right)$	$e\left(\frac{147}{176}\right)$	$e\left(\frac{17}{528}\right)$	$e\left(\frac{149}{528}\right)$	$e\left(\frac{221}{528}\right)$	$e\left(\frac{17}{66}\right)$
$\chi_{790142}(61,\cdot)$	790142.dgz	2112	no	$-1$	$1$	$e\left(\frac{125}{176}\right)$	$e\left(\frac{1909}{2112}\right)$	$e\left(\frac{43}{66}\right)$	$e\left(\frac{37}{88}\right)$	$e\left(\frac{433}{704}\right)$	$e\left(\frac{259}{704}\right)$	$e\left(\frac{1297}{2112}\right)$	$e\left(\frac{1483}{2112}\right)$	$e\left(\frac{1117}{2112}\right)$	$e\left(\frac{191}{528}\right)$
$\chi_{790142}(63,\cdot)$	790142.cbp	264	no	$1$	$1$	$e\left(\frac{3}{88}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{205}{264}\right)$	$e\left(\frac{3}{44}\right)$	$e\left(\frac{15}{44}\right)$	$e\left(\frac{79}{88}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{53}{66}\right)$	$e\left(\frac{53}{264}\right)$	$e\left(\frac{107}{132}\right)$
$\chi_{790142}(65,\cdot)$	790142.czn	1056	no	$1$	$1$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{421}{1056}\right)$	$e\left(\frac{125}{264}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{89}{352}\right)$	$e\left(\frac{47}{352}\right)$	$e\left(\frac{47}{96}\right)$	$e\left(\frac{43}{1056}\right)$	$e\left(\frac{481}{1056}\right)$	$e\left(\frac{149}{264}\right)$

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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	$790142$
Structure	\(C_{2}\times C_{88}\times C_{2112}\)
Order	$371712$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)
\(\chi_{790142}(1,\cdot)\)	790142.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{790142}(3,\cdot)\)	790142.bnm	176	no	\(-1\)	\(1\)	\(e\left(\frac{35}{88}\right)\)	\(e\left(\frac{169}{176}\right)\)	\(e\left(\frac{21}{88}\right)\)	\(e\left(\frac{35}{44}\right)\)	\(e\left(\frac{9}{16}\right)\)	\(e\left(\frac{23}{176}\right)\)	\(e\left(\frac{63}{176}\right)\)	\(e\left(\frac{127}{176}\right)\)	\(e\left(\frac{131}{176}\right)\)	\(e\left(\frac{7}{11}\right)\)
\(\chi_{790142}(5,\cdot)\)	790142.dln	2112	no	\(1\)	\(1\)	\(e\left(\frac{169}{176}\right)\)	\(e\left(\frac{1547}{2112}\right)\)	\(e\left(\frac{221}{264}\right)\)	\(e\left(\frac{81}{88}\right)\)	\(e\left(\frac{127}{704}\right)\)	\(e\left(\frac{469}{704}\right)\)	\(e\left(\frac{133}{192}\right)\)	\(e\left(\frac{533}{2112}\right)\)	\(e\left(\frac{587}{2112}\right)\)	\(e\left(\frac{421}{528}\right)\)
\(\chi_{790142}(7,\cdot)\)	790142.bve	264	no	\(1\)	\(1\)	\(e\left(\frac{21}{88}\right)\)	\(e\left(\frac{221}{264}\right)\)	\(e\left(\frac{79}{264}\right)\)	\(e\left(\frac{21}{44}\right)\)	\(e\left(\frac{19}{88}\right)\)	\(e\left(\frac{7}{11}\right)\)	\(e\left(\frac{5}{66}\right)\)	\(e\left(\frac{95}{264}\right)\)	\(e\left(\frac{47}{66}\right)\)	\(e\left(\frac{71}{132}\right)\)
\(\chi_{790142}(9,\cdot)\)	790142.bap	88	no	\(1\)	\(1\)	\(e\left(\frac{35}{44}\right)\)	\(e\left(\frac{81}{88}\right)\)	\(e\left(\frac{21}{44}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{23}{88}\right)\)	\(e\left(\frac{63}{88}\right)\)	\(e\left(\frac{39}{88}\right)\)	\(e\left(\frac{43}{88}\right)\)	\(e\left(\frac{3}{11}\right)\)
\(\chi_{790142}(11,\cdot)\)	790142.cvj	704	no	\(1\)	\(1\)	\(e\left(\frac{9}{16}\right)\)	\(e\left(\frac{127}{704}\right)\)	\(e\left(\frac{19}{88}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{201}{704}\right)\)	\(e\left(\frac{51}{704}\right)\)	\(e\left(\frac{523}{704}\right)\)	\(e\left(\frac{97}{704}\right)\)	\(e\left(\frac{527}{704}\right)\)	\(e\left(\frac{137}{176}\right)\)
\(\chi_{790142}(13,\cdot)\)	790142.csb	704	no	\(1\)	\(1\)	\(e\left(\frac{23}{176}\right)\)	\(e\left(\frac{469}{704}\right)\)	\(e\left(\frac{7}{11}\right)\)	\(e\left(\frac{23}{88}\right)\)	\(e\left(\frac{51}{704}\right)\)	\(e\left(\frac{329}{704}\right)\)	\(e\left(\frac{51}{64}\right)\)	\(e\left(\frac{555}{704}\right)\)	\(e\left(\frac{125}{704}\right)\)	\(e\left(\frac{135}{176}\right)\)
\(\chi_{790142}(15,\cdot)\)	790142.dgs	2112	no	\(-1\)	\(1\)	\(e\left(\frac{63}{176}\right)\)	\(e\left(\frac{133}{192}\right)\)	\(e\left(\frac{5}{66}\right)\)	\(e\left(\frac{63}{88}\right)\)	\(e\left(\frac{523}{704}\right)\)	\(e\left(\frac{51}{64}\right)\)	\(e\left(\frac{107}{2112}\right)\)	\(e\left(\frac{187}{192}\right)\)	\(e\left(\frac{47}{2112}\right)\)	\(e\left(\frac{229}{528}\right)\)
\(\chi_{790142}(17,\cdot)\)	790142.diw	2112	no	\(1\)	\(1\)	\(e\left(\frac{127}{176}\right)\)	\(e\left(\frac{533}{2112}\right)\)	\(e\left(\frac{95}{264}\right)\)	\(e\left(\frac{39}{88}\right)\)	\(e\left(\frac{97}{704}\right)\)	\(e\left(\frac{555}{704}\right)\)	\(e\left(\frac{187}{192}\right)\)	\(e\left(\frac{1355}{2112}\right)\)	\(e\left(\frac{1205}{2112}\right)\)	\(e\left(\frac{43}{528}\right)\)
\(\chi_{790142}(19,\cdot)\)	790142.dgz	2112	no	\(-1\)	\(1\)	\(e\left(\frac{131}{176}\right)\)	\(e\left(\frac{587}{2112}\right)\)	\(e\left(\frac{47}{66}\right)\)	\(e\left(\frac{43}{88}\right)\)	\(e\left(\frac{527}{704}\right)\)	\(e\left(\frac{125}{704}\right)\)	\(e\left(\frac{47}{2112}\right)\)	\(e\left(\frac{1205}{2112}\right)\)	\(e\left(\frac{1379}{2112}\right)\)	\(e\left(\frac{241}{528}\right)\)
\(\chi_{790142}(21,\cdot)\)	790142.clb	528	no	\(-1\)	\(1\)	\(e\left(\frac{7}{11}\right)\)	\(e\left(\frac{421}{528}\right)\)	\(e\left(\frac{71}{132}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{137}{176}\right)\)	\(e\left(\frac{135}{176}\right)\)	\(e\left(\frac{229}{528}\right)\)	\(e\left(\frac{43}{528}\right)\)	\(e\left(\frac{241}{528}\right)\)	\(e\left(\frac{23}{132}\right)\)
\(\chi_{790142}(25,\cdot)\)	790142.dcp	1056	no	\(1\)	\(1\)	\(e\left(\frac{81}{88}\right)\)	\(e\left(\frac{491}{1056}\right)\)	\(e\left(\frac{89}{132}\right)\)	\(e\left(\frac{37}{44}\right)\)	\(e\left(\frac{127}{352}\right)\)	\(e\left(\frac{117}{352}\right)\)	\(e\left(\frac{37}{96}\right)\)	\(e\left(\frac{533}{1056}\right)\)	\(e\left(\frac{587}{1056}\right)\)	\(e\left(\frac{157}{264}\right)\)
\(\chi_{790142}(27,\cdot)\)	790142.bnm	176	no	\(-1\)	\(1\)	\(e\left(\frac{17}{88}\right)\)	\(e\left(\frac{155}{176}\right)\)	\(e\left(\frac{63}{88}\right)\)	\(e\left(\frac{17}{44}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{69}{176}\right)\)	\(e\left(\frac{13}{176}\right)\)	\(e\left(\frac{29}{176}\right)\)	\(e\left(\frac{41}{176}\right)\)	\(e\left(\frac{10}{11}\right)\)
\(\chi_{790142}(29,\cdot)\)	790142.ctq	704	no	\(1\)	\(1\)	\(e\left(\frac{101}{176}\right)\)	\(e\left(\frac{25}{64}\right)\)	\(e\left(\frac{21}{44}\right)\)	\(e\left(\frac{13}{88}\right)\)	\(e\left(\frac{645}{704}\right)\)	\(e\left(\frac{13}{64}\right)\)	\(e\left(\frac{679}{704}\right)\)	\(e\left(\frac{39}{64}\right)\)	\(e\left(\frac{443}{704}\right)\)	\(e\left(\frac{9}{176}\right)\)
\(\chi_{790142}(31,\cdot)\)	790142.dfx	1056	no	\(-1\)	\(1\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{379}{1056}\right)\)	\(e\left(\frac{35}{264}\right)\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{71}{352}\right)\)	\(e\left(\frac{49}{352}\right)\)	\(e\left(\frac{1003}{1056}\right)\)	\(e\left(\frac{277}{1056}\right)\)	\(e\left(\frac{367}{1056}\right)\)	\(e\left(\frac{191}{264}\right)\)
\(\chi_{790142}(33,\cdot)\)	790142.cst	704	no	\(-1\)	\(1\)	\(e\left(\frac{169}{176}\right)\)	\(e\left(\frac{9}{64}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{81}{88}\right)\)	\(e\left(\frac{597}{704}\right)\)	\(e\left(\frac{13}{64}\right)\)	\(e\left(\frac{71}{704}\right)\)	\(e\left(\frac{55}{64}\right)\)	\(e\left(\frac{347}{704}\right)\)	\(e\left(\frac{73}{176}\right)\)
\(\chi_{790142}(35,\cdot)\)	790142.cyn	704	no	\(1\)	\(1\)	\(e\left(\frac{35}{176}\right)\)	\(e\left(\frac{401}{704}\right)\)	\(e\left(\frac{3}{22}\right)\)	\(e\left(\frac{35}{88}\right)\)	\(e\left(\frac{279}{704}\right)\)	\(e\left(\frac{213}{704}\right)\)	\(e\left(\frac{541}{704}\right)\)	\(e\left(\frac{431}{704}\right)\)	\(e\left(\frac{697}{704}\right)\)	\(e\left(\frac{59}{176}\right)\)
\(\chi_{790142}(37,\cdot)\)	790142.dnl	2112	no	\(-1\)	\(1\)	\(e\left(\frac{103}{176}\right)\)	\(e\left(\frac{1543}{2112}\right)\)	\(e\left(\frac{32}{33}\right)\)	\(e\left(\frac{15}{88}\right)\)	\(e\left(\frac{603}{704}\right)\)	\(e\left(\frac{641}{704}\right)\)	\(e\left(\frac{667}{2112}\right)\)	\(e\left(\frac{505}{2112}\right)\)	\(e\left(\frac{991}{2112}\right)\)	\(e\left(\frac{293}{528}\right)\)
\(\chi_{790142}(39,\cdot)\)	790142.cwd	704	no	\(-1\)	\(1\)	\(e\left(\frac{93}{176}\right)\)	\(e\left(\frac{441}{704}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{5}{88}\right)\)	\(e\left(\frac{447}{704}\right)\)	\(e\left(\frac{421}{704}\right)\)	\(e\left(\frac{109}{704}\right)\)	\(e\left(\frac{359}{704}\right)\)	\(e\left(\frac{59}{64}\right)\)	\(e\left(\frac{71}{176}\right)\)
\(\chi_{790142}(41,\cdot)\)	790142.dnd	2112	no	\(1\)	\(1\)	\(e\left(\frac{5}{176}\right)\)	\(e\left(\frac{7}{192}\right)\)	\(e\left(\frac{16}{33}\right)\)	\(e\left(\frac{5}{88}\right)\)	\(e\left(\frac{617}{704}\right)\)	\(e\left(\frac{1}{64}\right)\)	\(e\left(\frac{137}{2112}\right)\)	\(e\left(\frac{121}{192}\right)\)	\(e\left(\frac{1205}{2112}\right)\)	\(e\left(\frac{271}{528}\right)\)
\(\chi_{790142}(43,\cdot)\)	790142.xc	88	no	\(1\)	\(1\)	\(e\left(\frac{41}{88}\right)\)	\(e\left(\frac{37}{88}\right)\)	\(e\left(\frac{1}{88}\right)\)	\(e\left(\frac{41}{44}\right)\)	\(e\left(\frac{53}{88}\right)\)	\(e\left(\frac{17}{44}\right)\)	\(e\left(\frac{39}{44}\right)\)	\(e\left(\frac{39}{88}\right)\)	\(e\left(\frac{3}{44}\right)\)	\(e\left(\frac{21}{44}\right)\)
\(\chi_{790142}(45,\cdot)\)	790142.dki	2112	no	\(1\)	\(1\)	\(e\left(\frac{133}{176}\right)\)	\(e\left(\frac{1379}{2112}\right)\)	\(e\left(\frac{83}{264}\right)\)	\(e\left(\frac{45}{88}\right)\)	\(e\left(\frac{215}{704}\right)\)	\(e\left(\frac{653}{704}\right)\)	\(e\left(\frac{863}{2112}\right)\)	\(e\left(\frac{1469}{2112}\right)\)	\(e\left(\frac{1619}{2112}\right)\)	\(e\left(\frac{37}{528}\right)\)
\(\chi_{790142}(47,\cdot)\)	790142.djh	2112	no	\(-1\)	\(1\)	\(e\left(\frac{53}{176}\right)\)	\(e\left(\frac{223}{2112}\right)\)	\(e\left(\frac{109}{264}\right)\)	\(e\left(\frac{53}{88}\right)\)	\(e\left(\frac{131}{704}\right)\)	\(e\left(\frac{289}{704}\right)\)	\(e\left(\frac{859}{2112}\right)\)	\(e\left(\frac{769}{2112}\right)\)	\(e\left(\frac{799}{2112}\right)\)	\(e\left(\frac{377}{528}\right)\)
\(\chi_{790142}(49,\cdot)\)	790142.bhb	132	no	\(1\)	\(1\)	\(e\left(\frac{21}{44}\right)\)	\(e\left(\frac{89}{132}\right)\)	\(e\left(\frac{79}{132}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{19}{44}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{5}{33}\right)\)	\(e\left(\frac{95}{132}\right)\)	\(e\left(\frac{14}{33}\right)\)	\(e\left(\frac{5}{66}\right)\)
\(\chi_{790142}(51,\cdot)\)	790142.dhz	2112	no	\(-1\)	\(1\)	\(e\left(\frac{21}{176}\right)\)	\(e\left(\frac{449}{2112}\right)\)	\(e\left(\frac{79}{132}\right)\)	\(e\left(\frac{21}{88}\right)\)	\(e\left(\frac{493}{704}\right)\)	\(e\left(\frac{647}{704}\right)\)	\(e\left(\frac{701}{2112}\right)\)	\(e\left(\frac{767}{2112}\right)\)	\(e\left(\frac{665}{2112}\right)\)	\(e\left(\frac{379}{528}\right)\)
\(\chi_{790142}(53,\cdot)\)	790142.dlo	2112	no	\(1\)	\(1\)	\(e\left(\frac{69}{176}\right)\)	\(e\left(\frac{655}{2112}\right)\)	\(e\left(\frac{241}{264}\right)\)	\(e\left(\frac{69}{88}\right)\)	\(e\left(\frac{435}{704}\right)\)	\(e\left(\frac{17}{704}\right)\)	\(e\left(\frac{1483}{2112}\right)\)	\(e\left(\frac{1681}{2112}\right)\)	\(e\left(\frac{271}{2112}\right)\)	\(e\left(\frac{161}{528}\right)\)
\(\chi_{790142}(55,\cdot)\)	790142.cao	264	no	\(1\)	\(1\)	\(e\left(\frac{23}{44}\right)\)	\(e\left(\frac{241}{264}\right)\)	\(e\left(\frac{7}{132}\right)\)	\(e\left(\frac{1}{22}\right)\)	\(e\left(\frac{41}{88}\right)\)	\(e\left(\frac{65}{88}\right)\)	\(e\left(\frac{115}{264}\right)\)	\(e\left(\frac{103}{264}\right)\)	\(e\left(\frac{7}{264}\right)\)	\(e\left(\frac{19}{33}\right)\)
\(\chi_{790142}(57,\cdot)\)	790142.dkk	2112	no	\(1\)	\(1\)	\(e\left(\frac{25}{176}\right)\)	\(e\left(\frac{503}{2112}\right)\)	\(e\left(\frac{251}{264}\right)\)	\(e\left(\frac{25}{88}\right)\)	\(e\left(\frac{219}{704}\right)\)	\(e\left(\frac{217}{704}\right)\)	\(e\left(\frac{73}{192}\right)\)	\(e\left(\frac{617}{2112}\right)\)	\(e\left(\frac{839}{2112}\right)\)	\(e\left(\frac{49}{528}\right)\)
\(\chi_{790142}(59,\cdot)\)	790142.cnp	528	no	\(-1\)	\(1\)	\(e\left(\frac{37}{88}\right)\)	\(e\left(\frac{323}{528}\right)\)	\(e\left(\frac{221}{264}\right)\)	\(e\left(\frac{37}{44}\right)\)	\(e\left(\frac{147}{176}\right)\)	\(e\left(\frac{147}{176}\right)\)	\(e\left(\frac{17}{528}\right)\)	\(e\left(\frac{149}{528}\right)\)	\(e\left(\frac{221}{528}\right)\)	\(e\left(\frac{17}{66}\right)\)
\(\chi_{790142}(61,\cdot)\)	790142.dgz	2112	no	\(-1\)	\(1\)	\(e\left(\frac{125}{176}\right)\)	\(e\left(\frac{1909}{2112}\right)\)	\(e\left(\frac{43}{66}\right)\)	\(e\left(\frac{37}{88}\right)\)	\(e\left(\frac{433}{704}\right)\)	\(e\left(\frac{259}{704}\right)\)	\(e\left(\frac{1297}{2112}\right)\)	\(e\left(\frac{1483}{2112}\right)\)	\(e\left(\frac{1117}{2112}\right)\)	\(e\left(\frac{191}{528}\right)\)
\(\chi_{790142}(63,\cdot)\)	790142.cbp	264	no	\(1\)	\(1\)	\(e\left(\frac{3}{88}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{205}{264}\right)\)	\(e\left(\frac{3}{44}\right)\)	\(e\left(\frac{15}{44}\right)\)	\(e\left(\frac{79}{88}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{53}{66}\right)\)	\(e\left(\frac{53}{264}\right)\)	\(e\left(\frac{107}{132}\right)\)
\(\chi_{790142}(65,\cdot)\)	790142.czn	1056	no	\(1\)	\(1\)	\(e\left(\frac{1}{11}\right)\)	\(e\left(\frac{421}{1056}\right)\)	\(e\left(\frac{125}{264}\right)\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{89}{352}\right)\)	\(e\left(\frac{47}{352}\right)\)	\(e\left(\frac{47}{96}\right)\)	\(e\left(\frac{43}{1056}\right)\)	\(e\left(\frac{481}{1056}\right)\)	\(e\left(\frac{149}{264}\right)\)

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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.