LMFDB - Group of Dirichlet characters of modulus 45486

Show commands: PariGP / SageMath

sage: H = DirichletGroup(45486)

pari: g = idealstar(,45486,2)

Character group

sage: G.order() pari: g.no
Order	=	12312
sage: H.invariants() pari: g.cyc
Structure	=	$C_{6}\times C_{6}\times C_{342}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{45486}(10109,\cdot)$, $\chi_{45486}(6499,\cdot)$, $\chi_{45486}(32131,\cdot)$

First 32 of 12312 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	$-1$	$1$	$5$	$11$	$13$	$17$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{45486}(1,\cdot)$	45486.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{45486}(5,\cdot)$	45486.ml	342	no	$1$	$1$	$e\left(\frac{122}{171}\right)$	$e\left(\frac{41}{114}\right)$	$e\left(\frac{119}{342}\right)$	$e\left(\frac{110}{171}\right)$	$e\left(\frac{299}{342}\right)$	$e\left(\frac{73}{171}\right)$	$e\left(\frac{125}{342}\right)$	$e\left(\frac{5}{114}\right)$	$e\left(\frac{11}{57}\right)$	$e\left(\frac{20}{171}\right)$
$\chi_{45486}(11,\cdot)$	45486.iw	114	no	$-1$	$1$	$e\left(\frac{41}{114}\right)$	$e\left(\frac{29}{114}\right)$	$e\left(\frac{26}{57}\right)$	$e\left(\frac{65}{114}\right)$	$e\left(\frac{27}{38}\right)$	$e\left(\frac{41}{57}\right)$	$e\left(\frac{9}{38}\right)$	$e\left(\frac{7}{19}\right)$	$e\left(\frac{43}{57}\right)$	$e\left(\frac{31}{38}\right)$
$\chi_{45486}(13,\cdot)$	45486.nn	342	no	$1$	$1$	$e\left(\frac{119}{342}\right)$	$e\left(\frac{26}{57}\right)$	$e\left(\frac{113}{171}\right)$	$e\left(\frac{311}{342}\right)$	$e\left(\frac{20}{171}\right)$	$e\left(\frac{119}{171}\right)$	$e\left(\frac{235}{342}\right)$	$e\left(\frac{37}{57}\right)$	$e\left(\frac{11}{38}\right)$	$e\left(\frac{106}{171}\right)$
$\chi_{45486}(17,\cdot)$	45486.mz	342	no	$1$	$1$	$e\left(\frac{110}{171}\right)$	$e\left(\frac{65}{114}\right)$	$e\left(\frac{311}{342}\right)$	$e\left(\frac{2}{171}\right)$	$e\left(\frac{107}{342}\right)$	$e\left(\frac{49}{171}\right)$	$e\left(\frac{251}{342}\right)$	$e\left(\frac{15}{38}\right)$	$e\left(\frac{4}{57}\right)$	$e\left(\frac{47}{171}\right)$
$\chi_{45486}(23,\cdot)$	45486.ob	342	no	$-1$	$1$	$e\left(\frac{299}{342}\right)$	$e\left(\frac{27}{38}\right)$	$e\left(\frac{20}{171}\right)$	$e\left(\frac{107}{342}\right)$	$e\left(\frac{55}{342}\right)$	$e\left(\frac{128}{171}\right)$	$e\left(\frac{31}{342}\right)$	$e\left(\frac{20}{57}\right)$	$e\left(\frac{50}{57}\right)$	$e\left(\frac{263}{342}\right)$
$\chi_{45486}(25,\cdot)$	45486.lr	171	no	$1$	$1$	$e\left(\frac{73}{171}\right)$	$e\left(\frac{41}{57}\right)$	$e\left(\frac{119}{171}\right)$	$e\left(\frac{49}{171}\right)$	$e\left(\frac{128}{171}\right)$	$e\left(\frac{146}{171}\right)$	$e\left(\frac{125}{171}\right)$	$e\left(\frac{5}{57}\right)$	$e\left(\frac{22}{57}\right)$	$e\left(\frac{40}{171}\right)$
$\chi_{45486}(29,\cdot)$	45486.od	342	no	$1$	$1$	$e\left(\frac{125}{342}\right)$	$e\left(\frac{9}{38}\right)$	$e\left(\frac{235}{342}\right)$	$e\left(\frac{251}{342}\right)$	$e\left(\frac{31}{342}\right)$	$e\left(\frac{125}{171}\right)$	$e\left(\frac{2}{171}\right)$	$e\left(\frac{15}{38}\right)$	$e\left(\frac{9}{38}\right)$	$e\left(\frac{28}{171}\right)$
$\chi_{45486}(31,\cdot)$	45486.in	114	no	$1$	$1$	$e\left(\frac{5}{114}\right)$	$e\left(\frac{7}{19}\right)$	$e\left(\frac{37}{57}\right)$	$e\left(\frac{15}{38}\right)$	$e\left(\frac{20}{57}\right)$	$e\left(\frac{5}{57}\right)$	$e\left(\frac{15}{38}\right)$	$e\left(\frac{16}{57}\right)$	$e\left(\frac{23}{114}\right)$	$e\left(\frac{10}{19}\right)$
$\chi_{45486}(37,\cdot)$	45486.kn	114	no	$-1$	$1$	$e\left(\frac{11}{57}\right)$	$e\left(\frac{43}{57}\right)$	$e\left(\frac{11}{38}\right)$	$e\left(\frac{4}{57}\right)$	$e\left(\frac{50}{57}\right)$	$e\left(\frac{22}{57}\right)$	$e\left(\frac{9}{38}\right)$	$e\left(\frac{23}{114}\right)$	$e\left(\frac{67}{114}\right)$	$e\left(\frac{31}{38}\right)$
$\chi_{45486}(41,\cdot)$	45486.nt	342	no	$-1$	$1$	$e\left(\frac{20}{171}\right)$	$e\left(\frac{31}{38}\right)$	$e\left(\frac{106}{171}\right)$	$e\left(\frac{47}{171}\right)$	$e\left(\frac{263}{342}\right)$	$e\left(\frac{40}{171}\right)$	$e\left(\frac{28}{171}\right)$	$e\left(\frac{10}{19}\right)$	$e\left(\frac{31}{38}\right)$	$e\left(\frac{271}{342}\right)$
$\chi_{45486}(43,\cdot)$	45486.lp	171	no	$1$	$1$	$e\left(\frac{104}{171}\right)$	$e\left(\frac{10}{57}\right)$	$e\left(\frac{61}{171}\right)$	$e\left(\frac{62}{171}\right)$	$e\left(\frac{91}{171}\right)$	$e\left(\frac{37}{171}\right)$	$e\left(\frac{43}{171}\right)$	$e\left(\frac{23}{57}\right)$	$e\left(\frac{16}{19}\right)$	$e\left(\frac{89}{171}\right)$
$\chi_{45486}(47,\cdot)$	45486.mk	342	no	$1$	$1$	$e\left(\frac{109}{171}\right)$	$e\left(\frac{29}{114}\right)$	$e\left(\frac{289}{342}\right)$	$e\left(\frac{88}{171}\right)$	$e\left(\frac{205}{342}\right)$	$e\left(\frac{47}{171}\right)$	$e\left(\frac{157}{342}\right)$	$e\left(\frac{23}{114}\right)$	$e\left(\frac{5}{57}\right)$	$e\left(\frac{73}{171}\right)$
$\chi_{45486}(53,\cdot)$	45486.nu	342	no	$1$	$1$	$e\left(\frac{47}{342}\right)$	$e\left(\frac{35}{38}\right)$	$e\left(\frac{289}{342}\right)$	$e\left(\frac{5}{342}\right)$	$e\left(\frac{91}{342}\right)$	$e\left(\frac{47}{171}\right)$	$e\left(\frac{107}{171}\right)$	$e\left(\frac{23}{114}\right)$	$e\left(\frac{29}{114}\right)$	$e\left(\frac{130}{171}\right)$
$\chi_{45486}(55,\cdot)$	45486.nc	342	no	$-1$	$1$	$e\left(\frac{25}{342}\right)$	$e\left(\frac{35}{57}\right)$	$e\left(\frac{275}{342}\right)$	$e\left(\frac{73}{342}\right)$	$e\left(\frac{100}{171}\right)$	$e\left(\frac{25}{171}\right)$	$e\left(\frac{103}{171}\right)$	$e\left(\frac{47}{114}\right)$	$e\left(\frac{18}{19}\right)$	$e\left(\frac{319}{342}\right)$
$\chi_{45486}(59,\cdot)$	45486.mr	342	no	$-1$	$1$	$e\left(\frac{134}{171}\right)$	$e\left(\frac{55}{114}\right)$	$e\left(\frac{49}{171}\right)$	$e\left(\frac{47}{171}\right)$	$e\left(\frac{263}{342}\right)$	$e\left(\frac{97}{171}\right)$	$e\left(\frac{142}{171}\right)$	$e\left(\frac{11}{57}\right)$	$e\left(\frac{17}{114}\right)$	$e\left(\frac{43}{342}\right)$
$\chi_{45486}(61,\cdot)$	45486.ng	342	no	$-1$	$1$	$e\left(\frac{311}{342}\right)$	$e\left(\frac{25}{57}\right)$	$e\left(\frac{115}{342}\right)$	$e\left(\frac{215}{342}\right)$	$e\left(\frac{47}{171}\right)$	$e\left(\frac{140}{171}\right)$	$e\left(\frac{41}{171}\right)$	$e\left(\frac{77}{114}\right)$	$e\left(\frac{44}{57}\right)$	$e\left(\frac{293}{342}\right)$
$\chi_{45486}(65,\cdot)$	45486.jp	114	no	$1$	$1$	$e\left(\frac{7}{114}\right)$	$e\left(\frac{31}{38}\right)$	$e\left(\frac{1}{114}\right)$	$e\left(\frac{21}{38}\right)$	$e\left(\frac{113}{114}\right)$	$e\left(\frac{7}{57}\right)$	$e\left(\frac{1}{19}\right)$	$e\left(\frac{79}{114}\right)$	$e\left(\frac{55}{114}\right)$	$e\left(\frac{14}{19}\right)$
$\chi_{45486}(67,\cdot)$	45486.no	342	no	$-1$	$1$	$e\left(\frac{82}{171}\right)$	$e\left(\frac{13}{57}\right)$	$e\left(\frac{151}{342}\right)$	$e\left(\frac{73}{171}\right)$	$e\left(\frac{143}{171}\right)$	$e\left(\frac{164}{171}\right)$	$e\left(\frac{241}{342}\right)$	$e\left(\frac{25}{38}\right)$	$e\left(\frac{83}{114}\right)$	$e\left(\frac{125}{342}\right)$
$\chi_{45486}(71,\cdot)$	45486.mm	342	no	$1$	$1$	$e\left(\frac{31}{342}\right)$	$e\left(\frac{7}{114}\right)$	$e\left(\frac{341}{342}\right)$	$e\left(\frac{241}{342}\right)$	$e\left(\frac{77}{342}\right)$	$e\left(\frac{31}{171}\right)$	$e\left(\frac{73}{171}\right)$	$e\left(\frac{113}{114}\right)$	$e\left(\frac{15}{38}\right)$	$e\left(\frac{167}{171}\right)$
$\chi_{45486}(73,\cdot)$	45486.nq	342	no	$-1$	$1$	$e\left(\frac{277}{342}\right)$	$e\left(\frac{4}{57}\right)$	$e\left(\frac{83}{342}\right)$	$e\left(\frac{61}{342}\right)$	$e\left(\frac{25}{171}\right)$	$e\left(\frac{106}{171}\right)$	$e\left(\frac{97}{171}\right)$	$e\left(\frac{15}{38}\right)$	$e\left(\frac{4}{57}\right)$	$e\left(\frac{151}{342}\right)$
$\chi_{45486}(79,\cdot)$	45486.no	342	no	$-1$	$1$	$e\left(\frac{104}{171}\right)$	$e\left(\frac{29}{57}\right)$	$e\left(\frac{179}{342}\right)$	$e\left(\frac{5}{171}\right)$	$e\left(\frac{148}{171}\right)$	$e\left(\frac{37}{171}\right)$	$e\left(\frac{143}{342}\right)$	$e\left(\frac{9}{38}\right)$	$e\left(\frac{1}{114}\right)$	$e\left(\frac{121}{342}\right)$
$\chi_{45486}(83,\cdot)$	45486.kh	114	no	$1$	$1$	$e\left(\frac{29}{57}\right)$	$e\left(\frac{73}{114}\right)$	$e\left(\frac{29}{38}\right)$	$e\left(\frac{52}{57}\right)$	$e\left(\frac{9}{38}\right)$	$e\left(\frac{1}{57}\right)$	$e\left(\frac{47}{114}\right)$	$e\left(\frac{71}{114}\right)$	$e\left(\frac{9}{19}\right)$	$e\left(\frac{44}{57}\right)$
$\chi_{45486}(85,\cdot)$	45486.lp	171	no	$1$	$1$	$e\left(\frac{61}{171}\right)$	$e\left(\frac{53}{57}\right)$	$e\left(\frac{44}{171}\right)$	$e\left(\frac{112}{171}\right)$	$e\left(\frac{32}{171}\right)$	$e\left(\frac{122}{171}\right)$	$e\left(\frac{17}{171}\right)$	$e\left(\frac{25}{57}\right)$	$e\left(\frac{5}{19}\right)$	$e\left(\frac{67}{171}\right)$
$\chi_{45486}(89,\cdot)$	45486.md	342	no	$-1$	$1$	$e\left(\frac{118}{171}\right)$	$e\left(\frac{49}{114}\right)$	$e\left(\frac{44}{171}\right)$	$e\left(\frac{55}{171}\right)$	$e\left(\frac{121}{342}\right)$	$e\left(\frac{65}{171}\right)$	$e\left(\frac{74}{171}\right)$	$e\left(\frac{2}{19}\right)$	$e\left(\frac{49}{114}\right)$	$e\left(\frac{191}{342}\right)$
$\chi_{45486}(97,\cdot)$	45486.nn	342	no	$1$	$1$	$e\left(\frac{121}{342}\right)$	$e\left(\frac{25}{57}\right)$	$e\left(\frac{10}{171}\right)$	$e\left(\frac{253}{342}\right)$	$e\left(\frac{85}{171}\right)$	$e\left(\frac{121}{171}\right)$	$e\left(\frac{101}{342}\right)$	$e\left(\frac{29}{57}\right)$	$e\left(\frac{23}{38}\right)$	$e\left(\frac{23}{171}\right)$
$\chi_{45486}(101,\cdot)$	45486.ml	342	no	$1$	$1$	$e\left(\frac{100}{171}\right)$	$e\left(\frac{85}{114}\right)$	$e\left(\frac{319}{342}\right)$	$e\left(\frac{121}{171}\right)$	$e\left(\frac{175}{342}\right)$	$e\left(\frac{29}{171}\right)$	$e\left(\frac{223}{342}\right)$	$e\left(\frac{91}{114}\right)$	$e\left(\frac{52}{57}\right)$	$e\left(\frac{22}{171}\right)$
$\chi_{45486}(103,\cdot)$	45486.lc	114	no	$1$	$1$	$e\left(\frac{3}{38}\right)$	$e\left(\frac{53}{57}\right)$	$e\left(\frac{7}{19}\right)$	$e\left(\frac{27}{38}\right)$	$e\left(\frac{17}{57}\right)$	$e\left(\frac{3}{19}\right)$	$e\left(\frac{43}{114}\right)$	$e\left(\frac{2}{19}\right)$	$e\left(\frac{49}{114}\right)$	$e\left(\frac{16}{57}\right)$
$\chi_{45486}(107,\cdot)$	45486.ky	114	no	$1$	$1$	$e\left(\frac{11}{38}\right)$	$e\left(\frac{53}{114}\right)$	$e\left(\frac{97}{114}\right)$	$e\left(\frac{31}{114}\right)$	$e\left(\frac{17}{114}\right)$	$e\left(\frac{11}{19}\right)$	$e\left(\frac{44}{57}\right)$	$e\left(\frac{101}{114}\right)$	$e\left(\frac{91}{114}\right)$	$e\left(\frac{46}{57}\right)$
$\chi_{45486}(109,\cdot)$	45486.np	342	no	$-1$	$1$	$e\left(\frac{5}{171}\right)$	$e\left(\frac{52}{57}\right)$	$e\left(\frac{53}{342}\right)$	$e\left(\frac{140}{171}\right)$	$e\left(\frac{154}{171}\right)$	$e\left(\frac{10}{171}\right)$	$e\left(\frac{299}{342}\right)$	$e\left(\frac{5}{38}\right)$	$e\left(\frac{47}{114}\right)$	$e\left(\frac{253}{342}\right)$
$\chi_{45486}(113,\cdot)$	45486.it	114	no	$1$	$1$	$e\left(\frac{85}{114}\right)$	$e\left(\frac{11}{114}\right)$	$e\left(\frac{61}{114}\right)$	$e\left(\frac{27}{38}\right)$	$e\left(\frac{91}{114}\right)$	$e\left(\frac{28}{57}\right)$	$e\left(\frac{31}{57}\right)$	$e\left(\frac{31}{114}\right)$	$e\left(\frac{29}{38}\right)$	$e\left(\frac{35}{57}\right)$
$\chi_{45486}(115,\cdot)$	45486.je	114	no	$-1$	$1$	$e\left(\frac{67}{114}\right)$	$e\left(\frac{4}{57}\right)$	$e\left(\frac{53}{114}\right)$	$e\left(\frac{109}{114}\right)$	$e\left(\frac{2}{57}\right)$	$e\left(\frac{10}{57}\right)$	$e\left(\frac{26}{57}\right)$	$e\left(\frac{15}{38}\right)$	$e\left(\frac{4}{57}\right)$	$e\left(\frac{101}{114}\right)$

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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	$45486$
Structure	\(C_{6}\times C_{6}\times C_{342}\)
Order	$12312$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(11\)	\(13\)	\(17\)	\(23\)	\(25\)	\(29\)	\(31\)	\(37\)	\(41\)
\(\chi_{45486}(1,\cdot)\)	45486.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{45486}(5,\cdot)\)	45486.ml	342	no	\(1\)	\(1\)	\(e\left(\frac{122}{171}\right)\)	\(e\left(\frac{41}{114}\right)\)	\(e\left(\frac{119}{342}\right)\)	\(e\left(\frac{110}{171}\right)\)	\(e\left(\frac{299}{342}\right)\)	\(e\left(\frac{73}{171}\right)\)	\(e\left(\frac{125}{342}\right)\)	\(e\left(\frac{5}{114}\right)\)	\(e\left(\frac{11}{57}\right)\)	\(e\left(\frac{20}{171}\right)\)
\(\chi_{45486}(11,\cdot)\)	45486.iw	114	no	\(-1\)	\(1\)	\(e\left(\frac{41}{114}\right)\)	\(e\left(\frac{29}{114}\right)\)	\(e\left(\frac{26}{57}\right)\)	\(e\left(\frac{65}{114}\right)\)	\(e\left(\frac{27}{38}\right)\)	\(e\left(\frac{41}{57}\right)\)	\(e\left(\frac{9}{38}\right)\)	\(e\left(\frac{7}{19}\right)\)	\(e\left(\frac{43}{57}\right)\)	\(e\left(\frac{31}{38}\right)\)
\(\chi_{45486}(13,\cdot)\)	45486.nn	342	no	\(1\)	\(1\)	\(e\left(\frac{119}{342}\right)\)	\(e\left(\frac{26}{57}\right)\)	\(e\left(\frac{113}{171}\right)\)	\(e\left(\frac{311}{342}\right)\)	\(e\left(\frac{20}{171}\right)\)	\(e\left(\frac{119}{171}\right)\)	\(e\left(\frac{235}{342}\right)\)	\(e\left(\frac{37}{57}\right)\)	\(e\left(\frac{11}{38}\right)\)	\(e\left(\frac{106}{171}\right)\)
\(\chi_{45486}(17,\cdot)\)	45486.mz	342	no	\(1\)	\(1\)	\(e\left(\frac{110}{171}\right)\)	\(e\left(\frac{65}{114}\right)\)	\(e\left(\frac{311}{342}\right)\)	\(e\left(\frac{2}{171}\right)\)	\(e\left(\frac{107}{342}\right)\)	\(e\left(\frac{49}{171}\right)\)	\(e\left(\frac{251}{342}\right)\)	\(e\left(\frac{15}{38}\right)\)	\(e\left(\frac{4}{57}\right)\)	\(e\left(\frac{47}{171}\right)\)
\(\chi_{45486}(23,\cdot)\)	45486.ob	342	no	\(-1\)	\(1\)	\(e\left(\frac{299}{342}\right)\)	\(e\left(\frac{27}{38}\right)\)	\(e\left(\frac{20}{171}\right)\)	\(e\left(\frac{107}{342}\right)\)	\(e\left(\frac{55}{342}\right)\)	\(e\left(\frac{128}{171}\right)\)	\(e\left(\frac{31}{342}\right)\)	\(e\left(\frac{20}{57}\right)\)	\(e\left(\frac{50}{57}\right)\)	\(e\left(\frac{263}{342}\right)\)
\(\chi_{45486}(25,\cdot)\)	45486.lr	171	no	\(1\)	\(1\)	\(e\left(\frac{73}{171}\right)\)	\(e\left(\frac{41}{57}\right)\)	\(e\left(\frac{119}{171}\right)\)	\(e\left(\frac{49}{171}\right)\)	\(e\left(\frac{128}{171}\right)\)	\(e\left(\frac{146}{171}\right)\)	\(e\left(\frac{125}{171}\right)\)	\(e\left(\frac{5}{57}\right)\)	\(e\left(\frac{22}{57}\right)\)	\(e\left(\frac{40}{171}\right)\)
\(\chi_{45486}(29,\cdot)\)	45486.od	342	no	\(1\)	\(1\)	\(e\left(\frac{125}{342}\right)\)	\(e\left(\frac{9}{38}\right)\)	\(e\left(\frac{235}{342}\right)\)	\(e\left(\frac{251}{342}\right)\)	\(e\left(\frac{31}{342}\right)\)	\(e\left(\frac{125}{171}\right)\)	\(e\left(\frac{2}{171}\right)\)	\(e\left(\frac{15}{38}\right)\)	\(e\left(\frac{9}{38}\right)\)	\(e\left(\frac{28}{171}\right)\)
\(\chi_{45486}(31,\cdot)\)	45486.in	114	no	\(1\)	\(1\)	\(e\left(\frac{5}{114}\right)\)	\(e\left(\frac{7}{19}\right)\)	\(e\left(\frac{37}{57}\right)\)	\(e\left(\frac{15}{38}\right)\)	\(e\left(\frac{20}{57}\right)\)	\(e\left(\frac{5}{57}\right)\)	\(e\left(\frac{15}{38}\right)\)	\(e\left(\frac{16}{57}\right)\)	\(e\left(\frac{23}{114}\right)\)	\(e\left(\frac{10}{19}\right)\)
\(\chi_{45486}(37,\cdot)\)	45486.kn	114	no	\(-1\)	\(1\)	\(e\left(\frac{11}{57}\right)\)	\(e\left(\frac{43}{57}\right)\)	\(e\left(\frac{11}{38}\right)\)	\(e\left(\frac{4}{57}\right)\)	\(e\left(\frac{50}{57}\right)\)	\(e\left(\frac{22}{57}\right)\)	\(e\left(\frac{9}{38}\right)\)	\(e\left(\frac{23}{114}\right)\)	\(e\left(\frac{67}{114}\right)\)	\(e\left(\frac{31}{38}\right)\)
\(\chi_{45486}(41,\cdot)\)	45486.nt	342	no	\(-1\)	\(1\)	\(e\left(\frac{20}{171}\right)\)	\(e\left(\frac{31}{38}\right)\)	\(e\left(\frac{106}{171}\right)\)	\(e\left(\frac{47}{171}\right)\)	\(e\left(\frac{263}{342}\right)\)	\(e\left(\frac{40}{171}\right)\)	\(e\left(\frac{28}{171}\right)\)	\(e\left(\frac{10}{19}\right)\)	\(e\left(\frac{31}{38}\right)\)	\(e\left(\frac{271}{342}\right)\)
\(\chi_{45486}(43,\cdot)\)	45486.lp	171	no	\(1\)	\(1\)	\(e\left(\frac{104}{171}\right)\)	\(e\left(\frac{10}{57}\right)\)	\(e\left(\frac{61}{171}\right)\)	\(e\left(\frac{62}{171}\right)\)	\(e\left(\frac{91}{171}\right)\)	\(e\left(\frac{37}{171}\right)\)	\(e\left(\frac{43}{171}\right)\)	\(e\left(\frac{23}{57}\right)\)	\(e\left(\frac{16}{19}\right)\)	\(e\left(\frac{89}{171}\right)\)
\(\chi_{45486}(47,\cdot)\)	45486.mk	342	no	\(1\)	\(1\)	\(e\left(\frac{109}{171}\right)\)	\(e\left(\frac{29}{114}\right)\)	\(e\left(\frac{289}{342}\right)\)	\(e\left(\frac{88}{171}\right)\)	\(e\left(\frac{205}{342}\right)\)	\(e\left(\frac{47}{171}\right)\)	\(e\left(\frac{157}{342}\right)\)	\(e\left(\frac{23}{114}\right)\)	\(e\left(\frac{5}{57}\right)\)	\(e\left(\frac{73}{171}\right)\)
\(\chi_{45486}(53,\cdot)\)	45486.nu	342	no	\(1\)	\(1\)	\(e\left(\frac{47}{342}\right)\)	\(e\left(\frac{35}{38}\right)\)	\(e\left(\frac{289}{342}\right)\)	\(e\left(\frac{5}{342}\right)\)	\(e\left(\frac{91}{342}\right)\)	\(e\left(\frac{47}{171}\right)\)	\(e\left(\frac{107}{171}\right)\)	\(e\left(\frac{23}{114}\right)\)	\(e\left(\frac{29}{114}\right)\)	\(e\left(\frac{130}{171}\right)\)
\(\chi_{45486}(55,\cdot)\)	45486.nc	342	no	\(-1\)	\(1\)	\(e\left(\frac{25}{342}\right)\)	\(e\left(\frac{35}{57}\right)\)	\(e\left(\frac{275}{342}\right)\)	\(e\left(\frac{73}{342}\right)\)	\(e\left(\frac{100}{171}\right)\)	\(e\left(\frac{25}{171}\right)\)	\(e\left(\frac{103}{171}\right)\)	\(e\left(\frac{47}{114}\right)\)	\(e\left(\frac{18}{19}\right)\)	\(e\left(\frac{319}{342}\right)\)
\(\chi_{45486}(59,\cdot)\)	45486.mr	342	no	\(-1\)	\(1\)	\(e\left(\frac{134}{171}\right)\)	\(e\left(\frac{55}{114}\right)\)	\(e\left(\frac{49}{171}\right)\)	\(e\left(\frac{47}{171}\right)\)	\(e\left(\frac{263}{342}\right)\)	\(e\left(\frac{97}{171}\right)\)	\(e\left(\frac{142}{171}\right)\)	\(e\left(\frac{11}{57}\right)\)	\(e\left(\frac{17}{114}\right)\)	\(e\left(\frac{43}{342}\right)\)
\(\chi_{45486}(61,\cdot)\)	45486.ng	342	no	\(-1\)	\(1\)	\(e\left(\frac{311}{342}\right)\)	\(e\left(\frac{25}{57}\right)\)	\(e\left(\frac{115}{342}\right)\)	\(e\left(\frac{215}{342}\right)\)	\(e\left(\frac{47}{171}\right)\)	\(e\left(\frac{140}{171}\right)\)	\(e\left(\frac{41}{171}\right)\)	\(e\left(\frac{77}{114}\right)\)	\(e\left(\frac{44}{57}\right)\)	\(e\left(\frac{293}{342}\right)\)
\(\chi_{45486}(65,\cdot)\)	45486.jp	114	no	\(1\)	\(1\)	\(e\left(\frac{7}{114}\right)\)	\(e\left(\frac{31}{38}\right)\)	\(e\left(\frac{1}{114}\right)\)	\(e\left(\frac{21}{38}\right)\)	\(e\left(\frac{113}{114}\right)\)	\(e\left(\frac{7}{57}\right)\)	\(e\left(\frac{1}{19}\right)\)	\(e\left(\frac{79}{114}\right)\)	\(e\left(\frac{55}{114}\right)\)	\(e\left(\frac{14}{19}\right)\)
\(\chi_{45486}(67,\cdot)\)	45486.no	342	no	\(-1\)	\(1\)	\(e\left(\frac{82}{171}\right)\)	\(e\left(\frac{13}{57}\right)\)	\(e\left(\frac{151}{342}\right)\)	\(e\left(\frac{73}{171}\right)\)	\(e\left(\frac{143}{171}\right)\)	\(e\left(\frac{164}{171}\right)\)	\(e\left(\frac{241}{342}\right)\)	\(e\left(\frac{25}{38}\right)\)	\(e\left(\frac{83}{114}\right)\)	\(e\left(\frac{125}{342}\right)\)
\(\chi_{45486}(71,\cdot)\)	45486.mm	342	no	\(1\)	\(1\)	\(e\left(\frac{31}{342}\right)\)	\(e\left(\frac{7}{114}\right)\)	\(e\left(\frac{341}{342}\right)\)	\(e\left(\frac{241}{342}\right)\)	\(e\left(\frac{77}{342}\right)\)	\(e\left(\frac{31}{171}\right)\)	\(e\left(\frac{73}{171}\right)\)	\(e\left(\frac{113}{114}\right)\)	\(e\left(\frac{15}{38}\right)\)	\(e\left(\frac{167}{171}\right)\)
\(\chi_{45486}(73,\cdot)\)	45486.nq	342	no	\(-1\)	\(1\)	\(e\left(\frac{277}{342}\right)\)	\(e\left(\frac{4}{57}\right)\)	\(e\left(\frac{83}{342}\right)\)	\(e\left(\frac{61}{342}\right)\)	\(e\left(\frac{25}{171}\right)\)	\(e\left(\frac{106}{171}\right)\)	\(e\left(\frac{97}{171}\right)\)	\(e\left(\frac{15}{38}\right)\)	\(e\left(\frac{4}{57}\right)\)	\(e\left(\frac{151}{342}\right)\)
\(\chi_{45486}(79,\cdot)\)	45486.no	342	no	\(-1\)	\(1\)	\(e\left(\frac{104}{171}\right)\)	\(e\left(\frac{29}{57}\right)\)	\(e\left(\frac{179}{342}\right)\)	\(e\left(\frac{5}{171}\right)\)	\(e\left(\frac{148}{171}\right)\)	\(e\left(\frac{37}{171}\right)\)	\(e\left(\frac{143}{342}\right)\)	\(e\left(\frac{9}{38}\right)\)	\(e\left(\frac{1}{114}\right)\)	\(e\left(\frac{121}{342}\right)\)
\(\chi_{45486}(83,\cdot)\)	45486.kh	114	no	\(1\)	\(1\)	\(e\left(\frac{29}{57}\right)\)	\(e\left(\frac{73}{114}\right)\)	\(e\left(\frac{29}{38}\right)\)	\(e\left(\frac{52}{57}\right)\)	\(e\left(\frac{9}{38}\right)\)	\(e\left(\frac{1}{57}\right)\)	\(e\left(\frac{47}{114}\right)\)	\(e\left(\frac{71}{114}\right)\)	\(e\left(\frac{9}{19}\right)\)	\(e\left(\frac{44}{57}\right)\)
\(\chi_{45486}(85,\cdot)\)	45486.lp	171	no	\(1\)	\(1\)	\(e\left(\frac{61}{171}\right)\)	\(e\left(\frac{53}{57}\right)\)	\(e\left(\frac{44}{171}\right)\)	\(e\left(\frac{112}{171}\right)\)	\(e\left(\frac{32}{171}\right)\)	\(e\left(\frac{122}{171}\right)\)	\(e\left(\frac{17}{171}\right)\)	\(e\left(\frac{25}{57}\right)\)	\(e\left(\frac{5}{19}\right)\)	\(e\left(\frac{67}{171}\right)\)
\(\chi_{45486}(89,\cdot)\)	45486.md	342	no	\(-1\)	\(1\)	\(e\left(\frac{118}{171}\right)\)	\(e\left(\frac{49}{114}\right)\)	\(e\left(\frac{44}{171}\right)\)	\(e\left(\frac{55}{171}\right)\)	\(e\left(\frac{121}{342}\right)\)	\(e\left(\frac{65}{171}\right)\)	\(e\left(\frac{74}{171}\right)\)	\(e\left(\frac{2}{19}\right)\)	\(e\left(\frac{49}{114}\right)\)	\(e\left(\frac{191}{342}\right)\)
\(\chi_{45486}(97,\cdot)\)	45486.nn	342	no	\(1\)	\(1\)	\(e\left(\frac{121}{342}\right)\)	\(e\left(\frac{25}{57}\right)\)	\(e\left(\frac{10}{171}\right)\)	\(e\left(\frac{253}{342}\right)\)	\(e\left(\frac{85}{171}\right)\)	\(e\left(\frac{121}{171}\right)\)	\(e\left(\frac{101}{342}\right)\)	\(e\left(\frac{29}{57}\right)\)	\(e\left(\frac{23}{38}\right)\)	\(e\left(\frac{23}{171}\right)\)
\(\chi_{45486}(101,\cdot)\)	45486.ml	342	no	\(1\)	\(1\)	\(e\left(\frac{100}{171}\right)\)	\(e\left(\frac{85}{114}\right)\)	\(e\left(\frac{319}{342}\right)\)	\(e\left(\frac{121}{171}\right)\)	\(e\left(\frac{175}{342}\right)\)	\(e\left(\frac{29}{171}\right)\)	\(e\left(\frac{223}{342}\right)\)	\(e\left(\frac{91}{114}\right)\)	\(e\left(\frac{52}{57}\right)\)	\(e\left(\frac{22}{171}\right)\)
\(\chi_{45486}(103,\cdot)\)	45486.lc	114	no	\(1\)	\(1\)	\(e\left(\frac{3}{38}\right)\)	\(e\left(\frac{53}{57}\right)\)	\(e\left(\frac{7}{19}\right)\)	\(e\left(\frac{27}{38}\right)\)	\(e\left(\frac{17}{57}\right)\)	\(e\left(\frac{3}{19}\right)\)	\(e\left(\frac{43}{114}\right)\)	\(e\left(\frac{2}{19}\right)\)	\(e\left(\frac{49}{114}\right)\)	\(e\left(\frac{16}{57}\right)\)
\(\chi_{45486}(107,\cdot)\)	45486.ky	114	no	\(1\)	\(1\)	\(e\left(\frac{11}{38}\right)\)	\(e\left(\frac{53}{114}\right)\)	\(e\left(\frac{97}{114}\right)\)	\(e\left(\frac{31}{114}\right)\)	\(e\left(\frac{17}{114}\right)\)	\(e\left(\frac{11}{19}\right)\)	\(e\left(\frac{44}{57}\right)\)	\(e\left(\frac{101}{114}\right)\)	\(e\left(\frac{91}{114}\right)\)	\(e\left(\frac{46}{57}\right)\)
\(\chi_{45486}(109,\cdot)\)	45486.np	342	no	\(-1\)	\(1\)	\(e\left(\frac{5}{171}\right)\)	\(e\left(\frac{52}{57}\right)\)	\(e\left(\frac{53}{342}\right)\)	\(e\left(\frac{140}{171}\right)\)	\(e\left(\frac{154}{171}\right)\)	\(e\left(\frac{10}{171}\right)\)	\(e\left(\frac{299}{342}\right)\)	\(e\left(\frac{5}{38}\right)\)	\(e\left(\frac{47}{114}\right)\)	\(e\left(\frac{253}{342}\right)\)
\(\chi_{45486}(113,\cdot)\)	45486.it	114	no	\(1\)	\(1\)	\(e\left(\frac{85}{114}\right)\)	\(e\left(\frac{11}{114}\right)\)	\(e\left(\frac{61}{114}\right)\)	\(e\left(\frac{27}{38}\right)\)	\(e\left(\frac{91}{114}\right)\)	\(e\left(\frac{28}{57}\right)\)	\(e\left(\frac{31}{57}\right)\)	\(e\left(\frac{31}{114}\right)\)	\(e\left(\frac{29}{38}\right)\)	\(e\left(\frac{35}{57}\right)\)
\(\chi_{45486}(115,\cdot)\)	45486.je	114	no	\(-1\)	\(1\)	\(e\left(\frac{67}{114}\right)\)	\(e\left(\frac{4}{57}\right)\)	\(e\left(\frac{53}{114}\right)\)	\(e\left(\frac{109}{114}\right)\)	\(e\left(\frac{2}{57}\right)\)	\(e\left(\frac{10}{57}\right)\)	\(e\left(\frac{26}{57}\right)\)	\(e\left(\frac{15}{38}\right)\)	\(e\left(\frac{4}{57}\right)\)	\(e\left(\frac{101}{114}\right)\)

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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.