LMFDB - Group of Dirichlet characters of modulus 142252

Show commands: PariGP / SageMath

sage: H = DirichletGroup(142252)

pari: g = idealstar(,142252,2)

Character group

sage: G.order() pari: g.no
Order	=	62400
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{20}\times C_{780}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{142252}(71127,\cdot)$, $\chi_{142252}(103457,\cdot)$, $\chi_{142252}(104677,\cdot)$, $\chi_{142252}(111937,\cdot)$

First 32 of 62400 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	$-1$	$1$	$3$	$5$	$7$	$9$	$13$	$15$	$17$	$19$	$21$	$23$
$\chi_{142252}(1,\cdot)$	142252.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{142252}(3,\cdot)$	142252.bhc	260	yes	$1$	$1$	$e\left(\frac{3}{52}\right)$	$e\left(\frac{199}{260}\right)$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{3}{26}\right)$	$e\left(\frac{42}{65}\right)$	$e\left(\frac{107}{130}\right)$	$e\left(\frac{11}{65}\right)$	$e\left(\frac{31}{52}\right)$	$e\left(\frac{33}{52}\right)$	$e\left(\frac{19}{20}\right)$
$\chi_{142252}(5,\cdot)$	142252.bmv	780	no	$-1$	$1$	$e\left(\frac{199}{260}\right)$	$e\left(\frac{23}{156}\right)$	$e\left(\frac{82}{195}\right)$	$e\left(\frac{69}{130}\right)$	$e\left(\frac{148}{195}\right)$	$e\left(\frac{178}{195}\right)$	$e\left(\frac{34}{39}\right)$	$e\left(\frac{137}{780}\right)$	$e\left(\frac{29}{156}\right)$	$e\left(\frac{3}{20}\right)$
$\chi_{142252}(7,\cdot)$	142252.bqz	780	yes	$-1$	$1$	$e\left(\frac{15}{26}\right)$	$e\left(\frac{82}{195}\right)$	$e\left(\frac{29}{156}\right)$	$e\left(\frac{2}{13}\right)$	$e\left(\frac{323}{390}\right)$	$e\left(\frac{389}{390}\right)$	$e\left(\frac{293}{780}\right)$	$e\left(\frac{31}{39}\right)$	$e\left(\frac{119}{156}\right)$	$e\left(\frac{11}{20}\right)$
$\chi_{142252}(9,\cdot)$	142252.bbd	130	no	$1$	$1$	$e\left(\frac{3}{26}\right)$	$e\left(\frac{69}{130}\right)$	$e\left(\frac{2}{13}\right)$	$e\left(\frac{3}{13}\right)$	$e\left(\frac{19}{65}\right)$	$e\left(\frac{42}{65}\right)$	$e\left(\frac{22}{65}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{7}{26}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{142252}(13,\cdot)$	142252.bkk	390	no	$-1$	$1$	$e\left(\frac{42}{65}\right)$	$e\left(\frac{148}{195}\right)$	$e\left(\frac{323}{390}\right)$	$e\left(\frac{19}{65}\right)$	$e\left(\frac{329}{390}\right)$	$e\left(\frac{79}{195}\right)$	$e\left(\frac{331}{390}\right)$	$e\left(\frac{277}{390}\right)$	$e\left(\frac{37}{78}\right)$	$1$
$\chi_{142252}(15,\cdot)$	142252.biy	390	yes	$-1$	$1$	$e\left(\frac{107}{130}\right)$	$e\left(\frac{178}{195}\right)$	$e\left(\frac{389}{390}\right)$	$e\left(\frac{42}{65}\right)$	$e\left(\frac{79}{195}\right)$	$e\left(\frac{287}{390}\right)$	$e\left(\frac{8}{195}\right)$	$e\left(\frac{301}{390}\right)$	$e\left(\frac{32}{39}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{142252}(17,\cdot)$	142252.bqx	780	no	$1$	$1$	$e\left(\frac{11}{65}\right)$	$e\left(\frac{34}{39}\right)$	$e\left(\frac{293}{780}\right)$	$e\left(\frac{22}{65}\right)$	$e\left(\frac{331}{390}\right)$	$e\left(\frac{8}{195}\right)$	$e\left(\frac{131}{156}\right)$	$e\left(\frac{71}{390}\right)$	$e\left(\frac{85}{156}\right)$	$e\left(\frac{3}{20}\right)$
$\chi_{142252}(19,\cdot)$	142252.bqd	780	yes	$-1$	$1$	$e\left(\frac{31}{52}\right)$	$e\left(\frac{137}{780}\right)$	$e\left(\frac{31}{39}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{277}{390}\right)$	$e\left(\frac{301}{390}\right)$	$e\left(\frac{71}{390}\right)$	$e\left(\frac{155}{156}\right)$	$e\left(\frac{61}{156}\right)$	$e\left(\frac{19}{20}\right)$
$\chi_{142252}(21,\cdot)$	142252.bbu	156	no	$-1$	$1$	$e\left(\frac{33}{52}\right)$	$e\left(\frac{29}{156}\right)$	$e\left(\frac{119}{156}\right)$	$e\left(\frac{7}{26}\right)$	$e\left(\frac{37}{78}\right)$	$e\left(\frac{32}{39}\right)$	$e\left(\frac{85}{156}\right)$	$e\left(\frac{61}{156}\right)$	$e\left(\frac{31}{78}\right)$	$-1$
$\chi_{142252}(23,\cdot)$	142252.kr	20	no	$-1$	$1$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{11}{20}\right)$	$e\left(\frac{9}{10}\right)$	$1$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{19}{20}\right)$	$-1$	$e\left(\frac{9}{10}\right)$
$\chi_{142252}(25,\cdot)$	142252.bij	390	no	$1$	$1$	$e\left(\frac{69}{130}\right)$	$e\left(\frac{23}{78}\right)$	$e\left(\frac{164}{195}\right)$	$e\left(\frac{4}{65}\right)$	$e\left(\frac{101}{195}\right)$	$e\left(\frac{161}{195}\right)$	$e\left(\frac{29}{39}\right)$	$e\left(\frac{137}{390}\right)$	$e\left(\frac{29}{78}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{142252}(27,\cdot)$	142252.bhc	260	yes	$1$	$1$	$e\left(\frac{9}{52}\right)$	$e\left(\frac{77}{260}\right)$	$e\left(\frac{19}{26}\right)$	$e\left(\frac{9}{26}\right)$	$e\left(\frac{61}{65}\right)$	$e\left(\frac{61}{130}\right)$	$e\left(\frac{33}{65}\right)$	$e\left(\frac{41}{52}\right)$	$e\left(\frac{47}{52}\right)$	$e\left(\frac{17}{20}\right)$
$\chi_{142252}(29,\cdot)$	142252.bql	780	no	$1$	$1$	$e\left(\frac{9}{65}\right)$	$e\left(\frac{41}{195}\right)$	$e\left(\frac{677}{780}\right)$	$e\left(\frac{18}{65}\right)$	$e\left(\frac{103}{390}\right)$	$e\left(\frac{68}{195}\right)$	$e\left(\frac{439}{780}\right)$	$e\left(\frac{389}{390}\right)$	$e\left(\frac{1}{156}\right)$	$-i$
$\chi_{142252}(31,\cdot)$	142252.bny	780	yes	$-1$	$1$	$e\left(\frac{257}{260}\right)$	$e\left(\frac{671}{780}\right)$	$e\left(\frac{599}{780}\right)$	$e\left(\frac{127}{130}\right)$	$e\left(\frac{32}{195}\right)$	$e\left(\frac{331}{390}\right)$	$e\left(\frac{751}{780}\right)$	$e\left(\frac{271}{780}\right)$	$e\left(\frac{59}{78}\right)$	$e\left(\frac{3}{10}\right)$
$\chi_{142252}(35,\cdot)$	142252.bof	780	yes	$1$	$1$	$e\left(\frac{89}{260}\right)$	$e\left(\frac{443}{780}\right)$	$e\left(\frac{473}{780}\right)$	$e\left(\frac{89}{130}\right)$	$e\left(\frac{229}{390}\right)$	$e\left(\frac{71}{78}\right)$	$e\left(\frac{193}{780}\right)$	$e\left(\frac{757}{780}\right)$	$e\left(\frac{37}{39}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{142252}(37,\cdot)$	142252.bcr	260	no	$-1$	$1$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{14}{65}\right)$	$e\left(\frac{17}{52}\right)$	$e\left(\frac{8}{13}\right)$	$e\left(\frac{3}{65}\right)$	$e\left(\frac{34}{65}\right)$	$e\left(\frac{31}{260}\right)$	$e\left(\frac{11}{13}\right)$	$e\left(\frac{33}{52}\right)$	$e\left(\frac{11}{20}\right)$
$\chi_{142252}(39,\cdot)$	142252.bnf	780	yes	$-1$	$1$	$e\left(\frac{183}{260}\right)$	$e\left(\frac{409}{780}\right)$	$e\left(\frac{79}{195}\right)$	$e\left(\frac{53}{130}\right)$	$e\left(\frac{191}{390}\right)$	$e\left(\frac{89}{390}\right)$	$e\left(\frac{7}{390}\right)$	$e\left(\frac{239}{780}\right)$	$e\left(\frac{17}{156}\right)$	$e\left(\frac{19}{20}\right)$
$\chi_{142252}(41,\cdot)$	142252.bdy	260	no	$1$	$1$	$e\left(\frac{133}{260}\right)$	$e\left(\frac{35}{52}\right)$	$e\left(\frac{41}{130}\right)$	$e\left(\frac{3}{130}\right)$	$e\left(\frac{9}{130}\right)$	$e\left(\frac{12}{65}\right)$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{83}{260}\right)$	$e\left(\frac{43}{52}\right)$	$e\left(\frac{1}{20}\right)$
$\chi_{142252}(43,\cdot)$	142252.blu	780	yes	$-1$	$1$	$e\left(\frac{129}{130}\right)$	$e\left(\frac{127}{195}\right)$	$e\left(\frac{31}{780}\right)$	$e\left(\frac{64}{65}\right)$	$e\left(\frac{25}{78}\right)$	$e\left(\frac{251}{390}\right)$	$e\left(\frac{323}{780}\right)$	$e\left(\frac{56}{195}\right)$	$e\left(\frac{5}{156}\right)$	$e\left(\frac{17}{20}\right)$
$\chi_{142252}(45,\cdot)$	142252.bni	780	no	$-1$	$1$	$e\left(\frac{229}{260}\right)$	$e\left(\frac{529}{780}\right)$	$e\left(\frac{112}{195}\right)$	$e\left(\frac{99}{130}\right)$	$e\left(\frac{2}{39}\right)$	$e\left(\frac{109}{195}\right)$	$e\left(\frac{41}{195}\right)$	$e\left(\frac{287}{780}\right)$	$e\left(\frac{71}{156}\right)$	$e\left(\frac{1}{20}\right)$
$\chi_{142252}(47,\cdot)$	142252.bix	390	yes	$-1$	$1$	$e\left(\frac{37}{130}\right)$	$e\left(\frac{59}{195}\right)$	$e\left(\frac{109}{390}\right)$	$e\left(\frac{37}{65}\right)$	$e\left(\frac{86}{195}\right)$	$e\left(\frac{229}{390}\right)$	$e\left(\frac{64}{195}\right)$	$e\left(\frac{341}{390}\right)$	$e\left(\frac{22}{39}\right)$	$-1$
$\chi_{142252}(49,\cdot)$	142252.bic	390	no	$1$	$1$	$e\left(\frac{2}{13}\right)$	$e\left(\frac{164}{195}\right)$	$e\left(\frac{29}{78}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{128}{195}\right)$	$e\left(\frac{194}{195}\right)$	$e\left(\frac{293}{390}\right)$	$e\left(\frac{23}{39}\right)$	$e\left(\frac{41}{78}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{142252}(51,\cdot)$	142252.bor	780	yes	$1$	$1$	$e\left(\frac{59}{260}\right)$	$e\left(\frac{497}{780}\right)$	$e\left(\frac{743}{780}\right)$	$e\left(\frac{59}{130}\right)$	$e\left(\frac{193}{390}\right)$	$e\left(\frac{337}{390}\right)$	$e\left(\frac{7}{780}\right)$	$e\left(\frac{607}{780}\right)$	$e\left(\frac{7}{39}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{142252}(57,\cdot)$	142252.bll	390	no	$-1$	$1$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{367}{390}\right)$	$e\left(\frac{29}{78}\right)$	$e\left(\frac{4}{13}\right)$	$e\left(\frac{139}{390}\right)$	$e\left(\frac{116}{195}\right)$	$e\left(\frac{137}{390}\right)$	$e\left(\frac{23}{39}\right)$	$e\left(\frac{1}{39}\right)$	$e\left(\frac{9}{10}\right)$
$\chi_{142252}(59,\cdot)$	142252.bmk	780	yes	$1$	$1$	$e\left(\frac{11}{130}\right)$	$e\left(\frac{17}{39}\right)$	$e\left(\frac{49}{780}\right)$	$e\left(\frac{11}{65}\right)$	$e\left(\frac{34}{195}\right)$	$e\left(\frac{203}{390}\right)$	$e\left(\frac{85}{156}\right)$	$e\left(\frac{133}{390}\right)$	$e\left(\frac{23}{156}\right)$	$e\left(\frac{9}{20}\right)$
$\chi_{142252}(63,\cdot)$	142252.blr	780	yes	$-1$	$1$	$e\left(\frac{9}{13}\right)$	$e\left(\frac{371}{390}\right)$	$e\left(\frac{53}{156}\right)$	$e\left(\frac{5}{13}\right)$	$e\left(\frac{47}{390}\right)$	$e\left(\frac{251}{390}\right)$	$e\left(\frac{557}{780}\right)$	$e\left(\frac{77}{78}\right)$	$e\left(\frac{5}{156}\right)$	$e\left(\frac{9}{20}\right)$
$\chi_{142252}(65,\cdot)$	142252.bpg	780	no	$1$	$1$	$e\left(\frac{107}{260}\right)$	$e\left(\frac{707}{780}\right)$	$e\left(\frac{97}{390}\right)$	$e\left(\frac{107}{130}\right)$	$e\left(\frac{47}{78}\right)$	$e\left(\frac{62}{195}\right)$	$e\left(\frac{281}{390}\right)$	$e\left(\frac{691}{780}\right)$	$e\left(\frac{103}{156}\right)$	$e\left(\frac{3}{20}\right)$
$\chi_{142252}(67,\cdot)$	142252.box	780	no	$-1$	$1$	$e\left(\frac{27}{260}\right)$	$e\left(\frac{97}{780}\right)$	$e\left(\frac{199}{780}\right)$	$e\left(\frac{27}{130}\right)$	$e\left(\frac{23}{39}\right)$	$e\left(\frac{89}{390}\right)$	$e\left(\frac{287}{780}\right)$	$e\left(\frac{161}{780}\right)$	$e\left(\frac{14}{39}\right)$	$e\left(\frac{2}{5}\right)$
$\chi_{142252}(69,\cdot)$	142252.bcy	260	no	$-1$	$1$	$e\left(\frac{1}{130}\right)$	$e\left(\frac{119}{130}\right)$	$e\left(\frac{33}{260}\right)$	$e\left(\frac{1}{65}\right)$	$e\left(\frac{42}{65}\right)$	$e\left(\frac{12}{13}\right)$	$e\left(\frac{83}{260}\right)$	$e\left(\frac{71}{130}\right)$	$e\left(\frac{7}{52}\right)$	$e\left(\frac{17}{20}\right)$
$\chi_{142252}(71,\cdot)$	142252.bpb	780	yes	$-1$	$1$	$e\left(\frac{23}{52}\right)$	$e\left(\frac{521}{780}\right)$	$e\left(\frac{79}{156}\right)$	$e\left(\frac{23}{26}\right)$	$e\left(\frac{173}{195}\right)$	$e\left(\frac{43}{390}\right)$	$e\left(\frac{271}{780}\right)$	$e\left(\frac{89}{156}\right)$	$e\left(\frac{37}{39}\right)$	$e\left(\frac{3}{5}\right)$
$\chi_{142252}(73,\cdot)$	142252.bnb	780	no	$1$	$1$	$e\left(\frac{109}{260}\right)$	$e\left(\frac{17}{780}\right)$	$e\left(\frac{122}{195}\right)$	$e\left(\frac{109}{130}\right)$	$e\left(\frac{253}{390}\right)$	$e\left(\frac{86}{195}\right)$	$e\left(\frac{193}{195}\right)$	$e\left(\frac{337}{780}\right)$	$e\left(\frac{7}{156}\right)$	$e\left(\frac{7}{20}\right)$

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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	$142252$
Structure	\(C_{2}\times C_{2}\times C_{20}\times C_{780}\)
Order	$62400$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)	\(23\)
\(\chi_{142252}(1,\cdot)\)	142252.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{142252}(3,\cdot)\)	142252.bhc	260	yes	\(1\)	\(1\)	\(e\left(\frac{3}{52}\right)\)	\(e\left(\frac{199}{260}\right)\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{3}{26}\right)\)	\(e\left(\frac{42}{65}\right)\)	\(e\left(\frac{107}{130}\right)\)	\(e\left(\frac{11}{65}\right)\)	\(e\left(\frac{31}{52}\right)\)	\(e\left(\frac{33}{52}\right)\)	\(e\left(\frac{19}{20}\right)\)
\(\chi_{142252}(5,\cdot)\)	142252.bmv	780	no	\(-1\)	\(1\)	\(e\left(\frac{199}{260}\right)\)	\(e\left(\frac{23}{156}\right)\)	\(e\left(\frac{82}{195}\right)\)	\(e\left(\frac{69}{130}\right)\)	\(e\left(\frac{148}{195}\right)\)	\(e\left(\frac{178}{195}\right)\)	\(e\left(\frac{34}{39}\right)\)	\(e\left(\frac{137}{780}\right)\)	\(e\left(\frac{29}{156}\right)\)	\(e\left(\frac{3}{20}\right)\)
\(\chi_{142252}(7,\cdot)\)	142252.bqz	780	yes	\(-1\)	\(1\)	\(e\left(\frac{15}{26}\right)\)	\(e\left(\frac{82}{195}\right)\)	\(e\left(\frac{29}{156}\right)\)	\(e\left(\frac{2}{13}\right)\)	\(e\left(\frac{323}{390}\right)\)	\(e\left(\frac{389}{390}\right)\)	\(e\left(\frac{293}{780}\right)\)	\(e\left(\frac{31}{39}\right)\)	\(e\left(\frac{119}{156}\right)\)	\(e\left(\frac{11}{20}\right)\)
\(\chi_{142252}(9,\cdot)\)	142252.bbd	130	no	\(1\)	\(1\)	\(e\left(\frac{3}{26}\right)\)	\(e\left(\frac{69}{130}\right)\)	\(e\left(\frac{2}{13}\right)\)	\(e\left(\frac{3}{13}\right)\)	\(e\left(\frac{19}{65}\right)\)	\(e\left(\frac{42}{65}\right)\)	\(e\left(\frac{22}{65}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{7}{26}\right)\)	\(e\left(\frac{9}{10}\right)\)
\(\chi_{142252}(13,\cdot)\)	142252.bkk	390	no	\(-1\)	\(1\)	\(e\left(\frac{42}{65}\right)\)	\(e\left(\frac{148}{195}\right)\)	\(e\left(\frac{323}{390}\right)\)	\(e\left(\frac{19}{65}\right)\)	\(e\left(\frac{329}{390}\right)\)	\(e\left(\frac{79}{195}\right)\)	\(e\left(\frac{331}{390}\right)\)	\(e\left(\frac{277}{390}\right)\)	\(e\left(\frac{37}{78}\right)\)	\(1\)
\(\chi_{142252}(15,\cdot)\)	142252.biy	390	yes	\(-1\)	\(1\)	\(e\left(\frac{107}{130}\right)\)	\(e\left(\frac{178}{195}\right)\)	\(e\left(\frac{389}{390}\right)\)	\(e\left(\frac{42}{65}\right)\)	\(e\left(\frac{79}{195}\right)\)	\(e\left(\frac{287}{390}\right)\)	\(e\left(\frac{8}{195}\right)\)	\(e\left(\frac{301}{390}\right)\)	\(e\left(\frac{32}{39}\right)\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{142252}(17,\cdot)\)	142252.bqx	780	no	\(1\)	\(1\)	\(e\left(\frac{11}{65}\right)\)	\(e\left(\frac{34}{39}\right)\)	\(e\left(\frac{293}{780}\right)\)	\(e\left(\frac{22}{65}\right)\)	\(e\left(\frac{331}{390}\right)\)	\(e\left(\frac{8}{195}\right)\)	\(e\left(\frac{131}{156}\right)\)	\(e\left(\frac{71}{390}\right)\)	\(e\left(\frac{85}{156}\right)\)	\(e\left(\frac{3}{20}\right)\)
\(\chi_{142252}(19,\cdot)\)	142252.bqd	780	yes	\(-1\)	\(1\)	\(e\left(\frac{31}{52}\right)\)	\(e\left(\frac{137}{780}\right)\)	\(e\left(\frac{31}{39}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{277}{390}\right)\)	\(e\left(\frac{301}{390}\right)\)	\(e\left(\frac{71}{390}\right)\)	\(e\left(\frac{155}{156}\right)\)	\(e\left(\frac{61}{156}\right)\)	\(e\left(\frac{19}{20}\right)\)
\(\chi_{142252}(21,\cdot)\)	142252.bbu	156	no	\(-1\)	\(1\)	\(e\left(\frac{33}{52}\right)\)	\(e\left(\frac{29}{156}\right)\)	\(e\left(\frac{119}{156}\right)\)	\(e\left(\frac{7}{26}\right)\)	\(e\left(\frac{37}{78}\right)\)	\(e\left(\frac{32}{39}\right)\)	\(e\left(\frac{85}{156}\right)\)	\(e\left(\frac{61}{156}\right)\)	\(e\left(\frac{31}{78}\right)\)	\(-1\)
\(\chi_{142252}(23,\cdot)\)	142252.kr	20	no	\(-1\)	\(1\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{11}{20}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(1\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{3}{20}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(-1\)	\(e\left(\frac{9}{10}\right)\)
\(\chi_{142252}(25,\cdot)\)	142252.bij	390	no	\(1\)	\(1\)	\(e\left(\frac{69}{130}\right)\)	\(e\left(\frac{23}{78}\right)\)	\(e\left(\frac{164}{195}\right)\)	\(e\left(\frac{4}{65}\right)\)	\(e\left(\frac{101}{195}\right)\)	\(e\left(\frac{161}{195}\right)\)	\(e\left(\frac{29}{39}\right)\)	\(e\left(\frac{137}{390}\right)\)	\(e\left(\frac{29}{78}\right)\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{142252}(27,\cdot)\)	142252.bhc	260	yes	\(1\)	\(1\)	\(e\left(\frac{9}{52}\right)\)	\(e\left(\frac{77}{260}\right)\)	\(e\left(\frac{19}{26}\right)\)	\(e\left(\frac{9}{26}\right)\)	\(e\left(\frac{61}{65}\right)\)	\(e\left(\frac{61}{130}\right)\)	\(e\left(\frac{33}{65}\right)\)	\(e\left(\frac{41}{52}\right)\)	\(e\left(\frac{47}{52}\right)\)	\(e\left(\frac{17}{20}\right)\)
\(\chi_{142252}(29,\cdot)\)	142252.bql	780	no	\(1\)	\(1\)	\(e\left(\frac{9}{65}\right)\)	\(e\left(\frac{41}{195}\right)\)	\(e\left(\frac{677}{780}\right)\)	\(e\left(\frac{18}{65}\right)\)	\(e\left(\frac{103}{390}\right)\)	\(e\left(\frac{68}{195}\right)\)	\(e\left(\frac{439}{780}\right)\)	\(e\left(\frac{389}{390}\right)\)	\(e\left(\frac{1}{156}\right)\)	\(-i\)
\(\chi_{142252}(31,\cdot)\)	142252.bny	780	yes	\(-1\)	\(1\)	\(e\left(\frac{257}{260}\right)\)	\(e\left(\frac{671}{780}\right)\)	\(e\left(\frac{599}{780}\right)\)	\(e\left(\frac{127}{130}\right)\)	\(e\left(\frac{32}{195}\right)\)	\(e\left(\frac{331}{390}\right)\)	\(e\left(\frac{751}{780}\right)\)	\(e\left(\frac{271}{780}\right)\)	\(e\left(\frac{59}{78}\right)\)	\(e\left(\frac{3}{10}\right)\)
\(\chi_{142252}(35,\cdot)\)	142252.bof	780	yes	\(1\)	\(1\)	\(e\left(\frac{89}{260}\right)\)	\(e\left(\frac{443}{780}\right)\)	\(e\left(\frac{473}{780}\right)\)	\(e\left(\frac{89}{130}\right)\)	\(e\left(\frac{229}{390}\right)\)	\(e\left(\frac{71}{78}\right)\)	\(e\left(\frac{193}{780}\right)\)	\(e\left(\frac{757}{780}\right)\)	\(e\left(\frac{37}{39}\right)\)	\(e\left(\frac{7}{10}\right)\)
\(\chi_{142252}(37,\cdot)\)	142252.bcr	260	no	\(-1\)	\(1\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{14}{65}\right)\)	\(e\left(\frac{17}{52}\right)\)	\(e\left(\frac{8}{13}\right)\)	\(e\left(\frac{3}{65}\right)\)	\(e\left(\frac{34}{65}\right)\)	\(e\left(\frac{31}{260}\right)\)	\(e\left(\frac{11}{13}\right)\)	\(e\left(\frac{33}{52}\right)\)	\(e\left(\frac{11}{20}\right)\)
\(\chi_{142252}(39,\cdot)\)	142252.bnf	780	yes	\(-1\)	\(1\)	\(e\left(\frac{183}{260}\right)\)	\(e\left(\frac{409}{780}\right)\)	\(e\left(\frac{79}{195}\right)\)	\(e\left(\frac{53}{130}\right)\)	\(e\left(\frac{191}{390}\right)\)	\(e\left(\frac{89}{390}\right)\)	\(e\left(\frac{7}{390}\right)\)	\(e\left(\frac{239}{780}\right)\)	\(e\left(\frac{17}{156}\right)\)	\(e\left(\frac{19}{20}\right)\)
\(\chi_{142252}(41,\cdot)\)	142252.bdy	260	no	\(1\)	\(1\)	\(e\left(\frac{133}{260}\right)\)	\(e\left(\frac{35}{52}\right)\)	\(e\left(\frac{41}{130}\right)\)	\(e\left(\frac{3}{130}\right)\)	\(e\left(\frac{9}{130}\right)\)	\(e\left(\frac{12}{65}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{83}{260}\right)\)	\(e\left(\frac{43}{52}\right)\)	\(e\left(\frac{1}{20}\right)\)
\(\chi_{142252}(43,\cdot)\)	142252.blu	780	yes	\(-1\)	\(1\)	\(e\left(\frac{129}{130}\right)\)	\(e\left(\frac{127}{195}\right)\)	\(e\left(\frac{31}{780}\right)\)	\(e\left(\frac{64}{65}\right)\)	\(e\left(\frac{25}{78}\right)\)	\(e\left(\frac{251}{390}\right)\)	\(e\left(\frac{323}{780}\right)\)	\(e\left(\frac{56}{195}\right)\)	\(e\left(\frac{5}{156}\right)\)	\(e\left(\frac{17}{20}\right)\)
\(\chi_{142252}(45,\cdot)\)	142252.bni	780	no	\(-1\)	\(1\)	\(e\left(\frac{229}{260}\right)\)	\(e\left(\frac{529}{780}\right)\)	\(e\left(\frac{112}{195}\right)\)	\(e\left(\frac{99}{130}\right)\)	\(e\left(\frac{2}{39}\right)\)	\(e\left(\frac{109}{195}\right)\)	\(e\left(\frac{41}{195}\right)\)	\(e\left(\frac{287}{780}\right)\)	\(e\left(\frac{71}{156}\right)\)	\(e\left(\frac{1}{20}\right)\)
\(\chi_{142252}(47,\cdot)\)	142252.bix	390	yes	\(-1\)	\(1\)	\(e\left(\frac{37}{130}\right)\)	\(e\left(\frac{59}{195}\right)\)	\(e\left(\frac{109}{390}\right)\)	\(e\left(\frac{37}{65}\right)\)	\(e\left(\frac{86}{195}\right)\)	\(e\left(\frac{229}{390}\right)\)	\(e\left(\frac{64}{195}\right)\)	\(e\left(\frac{341}{390}\right)\)	\(e\left(\frac{22}{39}\right)\)	\(-1\)
\(\chi_{142252}(49,\cdot)\)	142252.bic	390	no	\(1\)	\(1\)	\(e\left(\frac{2}{13}\right)\)	\(e\left(\frac{164}{195}\right)\)	\(e\left(\frac{29}{78}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{128}{195}\right)\)	\(e\left(\frac{194}{195}\right)\)	\(e\left(\frac{293}{390}\right)\)	\(e\left(\frac{23}{39}\right)\)	\(e\left(\frac{41}{78}\right)\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{142252}(51,\cdot)\)	142252.bor	780	yes	\(1\)	\(1\)	\(e\left(\frac{59}{260}\right)\)	\(e\left(\frac{497}{780}\right)\)	\(e\left(\frac{743}{780}\right)\)	\(e\left(\frac{59}{130}\right)\)	\(e\left(\frac{193}{390}\right)\)	\(e\left(\frac{337}{390}\right)\)	\(e\left(\frac{7}{780}\right)\)	\(e\left(\frac{607}{780}\right)\)	\(e\left(\frac{7}{39}\right)\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{142252}(57,\cdot)\)	142252.bll	390	no	\(-1\)	\(1\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{367}{390}\right)\)	\(e\left(\frac{29}{78}\right)\)	\(e\left(\frac{4}{13}\right)\)	\(e\left(\frac{139}{390}\right)\)	\(e\left(\frac{116}{195}\right)\)	\(e\left(\frac{137}{390}\right)\)	\(e\left(\frac{23}{39}\right)\)	\(e\left(\frac{1}{39}\right)\)	\(e\left(\frac{9}{10}\right)\)
\(\chi_{142252}(59,\cdot)\)	142252.bmk	780	yes	\(1\)	\(1\)	\(e\left(\frac{11}{130}\right)\)	\(e\left(\frac{17}{39}\right)\)	\(e\left(\frac{49}{780}\right)\)	\(e\left(\frac{11}{65}\right)\)	\(e\left(\frac{34}{195}\right)\)	\(e\left(\frac{203}{390}\right)\)	\(e\left(\frac{85}{156}\right)\)	\(e\left(\frac{133}{390}\right)\)	\(e\left(\frac{23}{156}\right)\)	\(e\left(\frac{9}{20}\right)\)
\(\chi_{142252}(63,\cdot)\)	142252.blr	780	yes	\(-1\)	\(1\)	\(e\left(\frac{9}{13}\right)\)	\(e\left(\frac{371}{390}\right)\)	\(e\left(\frac{53}{156}\right)\)	\(e\left(\frac{5}{13}\right)\)	\(e\left(\frac{47}{390}\right)\)	\(e\left(\frac{251}{390}\right)\)	\(e\left(\frac{557}{780}\right)\)	\(e\left(\frac{77}{78}\right)\)	\(e\left(\frac{5}{156}\right)\)	\(e\left(\frac{9}{20}\right)\)
\(\chi_{142252}(65,\cdot)\)	142252.bpg	780	no	\(1\)	\(1\)	\(e\left(\frac{107}{260}\right)\)	\(e\left(\frac{707}{780}\right)\)	\(e\left(\frac{97}{390}\right)\)	\(e\left(\frac{107}{130}\right)\)	\(e\left(\frac{47}{78}\right)\)	\(e\left(\frac{62}{195}\right)\)	\(e\left(\frac{281}{390}\right)\)	\(e\left(\frac{691}{780}\right)\)	\(e\left(\frac{103}{156}\right)\)	\(e\left(\frac{3}{20}\right)\)
\(\chi_{142252}(67,\cdot)\)	142252.box	780	no	\(-1\)	\(1\)	\(e\left(\frac{27}{260}\right)\)	\(e\left(\frac{97}{780}\right)\)	\(e\left(\frac{199}{780}\right)\)	\(e\left(\frac{27}{130}\right)\)	\(e\left(\frac{23}{39}\right)\)	\(e\left(\frac{89}{390}\right)\)	\(e\left(\frac{287}{780}\right)\)	\(e\left(\frac{161}{780}\right)\)	\(e\left(\frac{14}{39}\right)\)	\(e\left(\frac{2}{5}\right)\)
\(\chi_{142252}(69,\cdot)\)	142252.bcy	260	no	\(-1\)	\(1\)	\(e\left(\frac{1}{130}\right)\)	\(e\left(\frac{119}{130}\right)\)	\(e\left(\frac{33}{260}\right)\)	\(e\left(\frac{1}{65}\right)\)	\(e\left(\frac{42}{65}\right)\)	\(e\left(\frac{12}{13}\right)\)	\(e\left(\frac{83}{260}\right)\)	\(e\left(\frac{71}{130}\right)\)	\(e\left(\frac{7}{52}\right)\)	\(e\left(\frac{17}{20}\right)\)
\(\chi_{142252}(71,\cdot)\)	142252.bpb	780	yes	\(-1\)	\(1\)	\(e\left(\frac{23}{52}\right)\)	\(e\left(\frac{521}{780}\right)\)	\(e\left(\frac{79}{156}\right)\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{173}{195}\right)\)	\(e\left(\frac{43}{390}\right)\)	\(e\left(\frac{271}{780}\right)\)	\(e\left(\frac{89}{156}\right)\)	\(e\left(\frac{37}{39}\right)\)	\(e\left(\frac{3}{5}\right)\)
\(\chi_{142252}(73,\cdot)\)	142252.bnb	780	no	\(1\)	\(1\)	\(e\left(\frac{109}{260}\right)\)	\(e\left(\frac{17}{780}\right)\)	\(e\left(\frac{122}{195}\right)\)	\(e\left(\frac{109}{130}\right)\)	\(e\left(\frac{253}{390}\right)\)	\(e\left(\frac{86}{195}\right)\)	\(e\left(\frac{193}{195}\right)\)	\(e\left(\frac{337}{780}\right)\)	\(e\left(\frac{7}{156}\right)\)	\(e\left(\frac{7}{20}\right)\)

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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.