LMFDB - Group of Dirichlet characters of modulus 60984

Show commands: PariGP / SageMath

sage: H = DirichletGroup(60984)

pari: g = idealstar(,60984,2)

Character group

sage: G.order() pari: g.no
Order	=	15840
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{2}\times C_{6}\times C_{330}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{60984}(15247,\cdot)$, $\chi_{60984}(30493,\cdot)$, $\chi_{60984}(54209,\cdot)$, $\chi_{60984}(34849,\cdot)$, $\chi_{60984}(57961,\cdot)$

First 32 of 15840 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	$-1$	$1$	$5$	$13$	$17$	$19$	$23$	$25$	$29$	$31$	$37$	$41$
$\chi_{60984}(1,\cdot)$	60984.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{60984}(5,\cdot)$	60984.wr	330	yes	$1$	$1$	$e\left(\frac{203}{330}\right)$	$e\left(\frac{101}{165}\right)$	$e\left(\frac{49}{165}\right)$	$e\left(\frac{83}{165}\right)$	$e\left(\frac{61}{66}\right)$	$e\left(\frac{38}{165}\right)$	$e\left(\frac{127}{165}\right)$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{139}{330}\right)$	$e\left(\frac{23}{165}\right)$
$\chi_{60984}(13,\cdot)$	60984.vv	330	yes	$1$	$1$	$e\left(\frac{101}{165}\right)$	$e\left(\frac{133}{330}\right)$	$e\left(\frac{27}{55}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{31}{33}\right)$	$e\left(\frac{37}{165}\right)$	$e\left(\frac{73}{165}\right)$	$e\left(\frac{43}{330}\right)$	$e\left(\frac{7}{110}\right)$	$e\left(\frac{47}{165}\right)$
$\chi_{60984}(17,\cdot)$	60984.wb	330	no	$-1$	$1$	$e\left(\frac{49}{165}\right)$	$e\left(\frac{27}{55}\right)$	$e\left(\frac{163}{330}\right)$	$e\left(\frac{133}{165}\right)$	$e\left(\frac{1}{66}\right)$	$e\left(\frac{98}{165}\right)$	$e\left(\frac{4}{55}\right)$	$e\left(\frac{157}{330}\right)$	$e\left(\frac{7}{165}\right)$	$e\left(\frac{27}{110}\right)$
$\chi_{60984}(19,\cdot)$	60984.um	330	no	$-1$	$1$	$e\left(\frac{83}{165}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{133}{165}\right)$	$e\left(\frac{131}{165}\right)$	$e\left(\frac{65}{66}\right)$	$e\left(\frac{1}{165}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{37}{165}\right)$	$e\left(\frac{283}{330}\right)$	$e\left(\frac{47}{55}\right)$
$\chi_{60984}(23,\cdot)$	60984.pl	66	no	$1$	$1$	$e\left(\frac{61}{66}\right)$	$e\left(\frac{31}{33}\right)$	$e\left(\frac{1}{66}\right)$	$e\left(\frac{65}{66}\right)$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{28}{33}\right)$	$e\left(\frac{43}{66}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{13}{33}\right)$	$e\left(\frac{53}{66}\right)$
$\chi_{60984}(25,\cdot)$	60984.ts	165	no	$1$	$1$	$e\left(\frac{38}{165}\right)$	$e\left(\frac{37}{165}\right)$	$e\left(\frac{98}{165}\right)$	$e\left(\frac{1}{165}\right)$	$e\left(\frac{28}{33}\right)$	$e\left(\frac{76}{165}\right)$	$e\left(\frac{89}{165}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{46}{165}\right)$
$\chi_{60984}(29,\cdot)$	60984.vh	330	no	$1$	$1$	$e\left(\frac{127}{165}\right)$	$e\left(\frac{73}{165}\right)$	$e\left(\frac{4}{55}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{43}{66}\right)$	$e\left(\frac{89}{165}\right)$	$e\left(\frac{97}{330}\right)$	$e\left(\frac{103}{165}\right)$	$e\left(\frac{109}{110}\right)$	$e\left(\frac{64}{165}\right)$
$\chi_{60984}(31,\cdot)$	60984.uj	330	no	$1$	$1$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{43}{330}\right)$	$e\left(\frac{157}{330}\right)$	$e\left(\frac{37}{165}\right)$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{103}{165}\right)$	$e\left(\frac{94}{165}\right)$	$e\left(\frac{28}{165}\right)$	$e\left(\frac{49}{330}\right)$
$\chi_{60984}(37,\cdot)$	60984.wi	330	no	$1$	$1$	$e\left(\frac{139}{330}\right)$	$e\left(\frac{7}{110}\right)$	$e\left(\frac{7}{165}\right)$	$e\left(\frac{283}{330}\right)$	$e\left(\frac{13}{33}\right)$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{109}{110}\right)$	$e\left(\frac{28}{165}\right)$	$e\left(\frac{67}{330}\right)$	$e\left(\frac{43}{55}\right)$
$\chi_{60984}(41,\cdot)$	60984.uw	330	no	$-1$	$1$	$e\left(\frac{23}{165}\right)$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{27}{110}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{53}{66}\right)$	$e\left(\frac{46}{165}\right)$	$e\left(\frac{64}{165}\right)$	$e\left(\frac{49}{330}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{157}{330}\right)$
$\chi_{60984}(43,\cdot)$	60984.pu	66	no	$1$	$1$	$e\left(\frac{43}{66}\right)$	$e\left(\frac{26}{33}\right)$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{19}{22}\right)$	$e\left(\frac{49}{66}\right)$	$e\left(\frac{10}{33}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{25}{66}\right)$	$e\left(\frac{1}{22}\right)$	$e\left(\frac{37}{66}\right)$
$\chi_{60984}(47,\cdot)$	60984.yi	330	no	$-1$	$1$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{269}{330}\right)$	$e\left(\frac{163}{165}\right)$	$e\left(\frac{101}{165}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{103}{330}\right)$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{14}{165}\right)$	$e\left(\frac{136}{165}\right)$
$\chi_{60984}(53,\cdot)$	60984.us	330	no	$-1$	$1$	$e\left(\frac{106}{165}\right)$	$e\left(\frac{91}{110}\right)$	$e\left(\frac{127}{330}\right)$	$e\left(\frac{269}{330}\right)$	$e\left(\frac{19}{66}\right)$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{21}{55}\right)$	$e\left(\frac{89}{165}\right)$	$e\left(\frac{101}{330}\right)$	$e\left(\frac{73}{110}\right)$
$\chi_{60984}(59,\cdot)$	60984.ty	330	yes	$-1$	$1$	$e\left(\frac{3}{110}\right)$	$e\left(\frac{8}{165}\right)$	$e\left(\frac{152}{165}\right)$	$e\left(\frac{323}{330}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{46}{165}\right)$	$e\left(\frac{58}{165}\right)$	$e\left(\frac{17}{330}\right)$	$e\left(\frac{59}{165}\right)$
$\chi_{60984}(61,\cdot)$	60984.yk	330	yes	$1$	$1$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{137}{330}\right)$	$e\left(\frac{64}{165}\right)$	$e\left(\frac{301}{330}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{2}{165}\right)$	$e\left(\frac{127}{330}\right)$	$e\left(\frac{259}{330}\right)$	$e\left(\frac{103}{165}\right)$
$\chi_{60984}(65,\cdot)$	60984.sc	66	no	$1$	$1$	$e\left(\frac{5}{22}\right)$	$e\left(\frac{1}{66}\right)$	$e\left(\frac{26}{33}\right)$	$e\left(\frac{47}{66}\right)$	$e\left(\frac{19}{22}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{7}{33}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{14}{33}\right)$
$\chi_{60984}(67,\cdot)$	60984.se	66	yes	$-1$	$1$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{65}{66}\right)$	$e\left(\frac{7}{33}\right)$	$e\left(\frac{26}{33}\right)$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{19}{66}\right)$	$e\left(\frac{1}{66}\right)$	$e\left(\frac{1}{66}\right)$	$e\left(\frac{19}{33}\right)$
$\chi_{60984}(71,\cdot)$	60984.sv	110	no	$1$	$1$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{41}{110}\right)$	$e\left(\frac{47}{110}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{3}{110}\right)$	$e\left(\frac{109}{110}\right)$	$e\left(\frac{49}{55}\right)$	$e\left(\frac{17}{110}\right)$
$\chi_{60984}(73,\cdot)$	60984.xu	330	no	$1$	$1$	$e\left(\frac{239}{330}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{107}{165}\right)$	$e\left(\frac{124}{165}\right)$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{74}{165}\right)$	$e\left(\frac{79}{110}\right)$	$e\left(\frac{31}{330}\right)$	$e\left(\frac{76}{165}\right)$	$e\left(\frac{13}{55}\right)$
$\chi_{60984}(79,\cdot)$	60984.yn	330	no	$1$	$1$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{323}{330}\right)$	$e\left(\frac{197}{330}\right)$	$e\left(\frac{17}{165}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{1}{330}\right)$	$e\left(\frac{73}{330}\right)$	$e\left(\frac{53}{165}\right)$	$e\left(\frac{299}{330}\right)$
$\chi_{60984}(83,\cdot)$	60984.xg	330	yes	$1$	$1$	$e\left(\frac{113}{330}\right)$	$e\left(\frac{317}{330}\right)$	$e\left(\frac{101}{110}\right)$	$e\left(\frac{21}{55}\right)$	$e\left(\frac{26}{33}\right)$	$e\left(\frac{113}{165}\right)$	$e\left(\frac{49}{330}\right)$	$e\left(\frac{1}{165}\right)$	$e\left(\frac{63}{110}\right)$	$e\left(\frac{131}{330}\right)$
$\chi_{60984}(85,\cdot)$	60984.wq	330	no	$-1$	$1$	$e\left(\frac{301}{330}\right)$	$e\left(\frac{17}{165}\right)$	$e\left(\frac{87}{110}\right)$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{31}{33}\right)$	$e\left(\frac{136}{165}\right)$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{137}{165}\right)$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{127}{330}\right)$
$\chi_{60984}(89,\cdot)$	60984.rt	66	no	$1$	$1$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{29}{66}\right)$	$e\left(\frac{23}{66}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{49}{66}\right)$	$e\left(\frac{19}{33}\right)$	$e\left(\frac{6}{11}\right)$
$\chi_{60984}(95,\cdot)$	60984.ue	330	no	$-1$	$1$	$e\left(\frac{13}{110}\right)$	$e\left(\frac{271}{330}\right)$	$e\left(\frac{17}{165}\right)$	$e\left(\frac{49}{165}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{13}{55}\right)$	$e\left(\frac{16}{165}\right)$	$e\left(\frac{191}{330}\right)$	$e\left(\frac{46}{165}\right)$	$e\left(\frac{164}{165}\right)$
$\chi_{60984}(97,\cdot)$	60984.xe	330	no	$-1$	$1$	$e\left(\frac{17}{330}\right)$	$e\left(\frac{293}{330}\right)$	$e\left(\frac{59}{110}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{8}{33}\right)$	$e\left(\frac{17}{165}\right)$	$e\left(\frac{38}{165}\right)$	$e\left(\frac{323}{330}\right)$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{119}{330}\right)$
$\chi_{60984}(101,\cdot)$	60984.xn	330	yes	$-1$	$1$	$e\left(\frac{97}{330}\right)$	$e\left(\frac{203}{330}\right)$	$e\left(\frac{7}{330}\right)$	$e\left(\frac{59}{330}\right)$	$e\left(\frac{35}{66}\right)$	$e\left(\frac{97}{165}\right)$	$e\left(\frac{301}{330}\right)$	$e\left(\frac{101}{110}\right)$	$e\left(\frac{281}{330}\right)$	$e\left(\frac{239}{330}\right)$
$\chi_{60984}(103,\cdot)$	60984.xl	330	no	$1$	$1$	$e\left(\frac{299}{330}\right)$	$e\left(\frac{61}{330}\right)$	$e\left(\frac{59}{330}\right)$	$e\left(\frac{119}{165}\right)$	$e\left(\frac{31}{66}\right)$	$e\left(\frac{134}{165}\right)$	$e\left(\frac{31}{165}\right)$	$e\left(\frac{21}{55}\right)$	$e\left(\frac{41}{165}\right)$	$e\left(\frac{223}{330}\right)$
$\chi_{60984}(107,\cdot)$	60984.wa	330	no	$-1$	$1$	$e\left(\frac{8}{165}\right)$	$e\left(\frac{19}{55}\right)$	$e\left(\frac{148}{165}\right)$	$e\left(\frac{67}{330}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{16}{165}\right)$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{29}{330}\right)$	$e\left(\frac{73}{330}\right)$	$e\left(\frac{37}{55}\right)$
$\chi_{60984}(109,\cdot)$	60984.ol	66	no	$-1$	$1$	$e\left(\frac{25}{66}\right)$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{17}{66}\right)$	$e\left(\frac{8}{33}\right)$	$e\left(\frac{20}{33}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{13}{66}\right)$	$e\left(\frac{7}{22}\right)$
$\chi_{60984}(113,\cdot)$	60984.wp	330	no	$-1$	$1$	$e\left(\frac{61}{330}\right)$	$e\left(\frac{152}{165}\right)$	$e\left(\frac{37}{110}\right)$	$e\left(\frac{42}{55}\right)$	$e\left(\frac{5}{66}\right)$	$e\left(\frac{61}{165}\right)$	$e\left(\frac{263}{330}\right)$	$e\left(\frac{2}{165}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{97}{330}\right)$
$\chi_{60984}(115,\cdot)$	60984.vd	330	yes	$1$	$1$	$e\left(\frac{89}{165}\right)$	$e\left(\frac{91}{165}\right)$	$e\left(\frac{103}{330}\right)$	$e\left(\frac{161}{330}\right)$	$e\left(\frac{53}{66}\right)$	$e\left(\frac{13}{165}\right)$	$e\left(\frac{139}{330}\right)$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{269}{330}\right)$	$e\left(\frac{311}{330}\right)$

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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	$60984$
Structure	\(C_{2}\times C_{2}\times C_{2}\times C_{6}\times C_{330}\)
Order	$15840$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(37\)	\(41\)
\(\chi_{60984}(1,\cdot)\)	60984.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{60984}(5,\cdot)\)	60984.wr	330	yes	\(1\)	\(1\)	\(e\left(\frac{203}{330}\right)\)	\(e\left(\frac{101}{165}\right)\)	\(e\left(\frac{49}{165}\right)\)	\(e\left(\frac{83}{165}\right)\)	\(e\left(\frac{61}{66}\right)\)	\(e\left(\frac{38}{165}\right)\)	\(e\left(\frac{127}{165}\right)\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{139}{330}\right)\)	\(e\left(\frac{23}{165}\right)\)
\(\chi_{60984}(13,\cdot)\)	60984.vv	330	yes	\(1\)	\(1\)	\(e\left(\frac{101}{165}\right)\)	\(e\left(\frac{133}{330}\right)\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{31}{33}\right)\)	\(e\left(\frac{37}{165}\right)\)	\(e\left(\frac{73}{165}\right)\)	\(e\left(\frac{43}{330}\right)\)	\(e\left(\frac{7}{110}\right)\)	\(e\left(\frac{47}{165}\right)\)
\(\chi_{60984}(17,\cdot)\)	60984.wb	330	no	\(-1\)	\(1\)	\(e\left(\frac{49}{165}\right)\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{163}{330}\right)\)	\(e\left(\frac{133}{165}\right)\)	\(e\left(\frac{1}{66}\right)\)	\(e\left(\frac{98}{165}\right)\)	\(e\left(\frac{4}{55}\right)\)	\(e\left(\frac{157}{330}\right)\)	\(e\left(\frac{7}{165}\right)\)	\(e\left(\frac{27}{110}\right)\)
\(\chi_{60984}(19,\cdot)\)	60984.um	330	no	\(-1\)	\(1\)	\(e\left(\frac{83}{165}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{133}{165}\right)\)	\(e\left(\frac{131}{165}\right)\)	\(e\left(\frac{65}{66}\right)\)	\(e\left(\frac{1}{165}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{37}{165}\right)\)	\(e\left(\frac{283}{330}\right)\)	\(e\left(\frac{47}{55}\right)\)
\(\chi_{60984}(23,\cdot)\)	60984.pl	66	no	\(1\)	\(1\)	\(e\left(\frac{61}{66}\right)\)	\(e\left(\frac{31}{33}\right)\)	\(e\left(\frac{1}{66}\right)\)	\(e\left(\frac{65}{66}\right)\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{43}{66}\right)\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{13}{33}\right)\)	\(e\left(\frac{53}{66}\right)\)
\(\chi_{60984}(25,\cdot)\)	60984.ts	165	no	\(1\)	\(1\)	\(e\left(\frac{38}{165}\right)\)	\(e\left(\frac{37}{165}\right)\)	\(e\left(\frac{98}{165}\right)\)	\(e\left(\frac{1}{165}\right)\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{76}{165}\right)\)	\(e\left(\frac{89}{165}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{139}{165}\right)\)	\(e\left(\frac{46}{165}\right)\)
\(\chi_{60984}(29,\cdot)\)	60984.vh	330	no	\(1\)	\(1\)	\(e\left(\frac{127}{165}\right)\)	\(e\left(\frac{73}{165}\right)\)	\(e\left(\frac{4}{55}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{43}{66}\right)\)	\(e\left(\frac{89}{165}\right)\)	\(e\left(\frac{97}{330}\right)\)	\(e\left(\frac{103}{165}\right)\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{64}{165}\right)\)
\(\chi_{60984}(31,\cdot)\)	60984.uj	330	no	\(1\)	\(1\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{43}{330}\right)\)	\(e\left(\frac{157}{330}\right)\)	\(e\left(\frac{37}{165}\right)\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{103}{165}\right)\)	\(e\left(\frac{94}{165}\right)\)	\(e\left(\frac{28}{165}\right)\)	\(e\left(\frac{49}{330}\right)\)
\(\chi_{60984}(37,\cdot)\)	60984.wi	330	no	\(1\)	\(1\)	\(e\left(\frac{139}{330}\right)\)	\(e\left(\frac{7}{110}\right)\)	\(e\left(\frac{7}{165}\right)\)	\(e\left(\frac{283}{330}\right)\)	\(e\left(\frac{13}{33}\right)\)	\(e\left(\frac{139}{165}\right)\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{28}{165}\right)\)	\(e\left(\frac{67}{330}\right)\)	\(e\left(\frac{43}{55}\right)\)
\(\chi_{60984}(41,\cdot)\)	60984.uw	330	no	\(-1\)	\(1\)	\(e\left(\frac{23}{165}\right)\)	\(e\left(\frac{47}{165}\right)\)	\(e\left(\frac{27}{110}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{53}{66}\right)\)	\(e\left(\frac{46}{165}\right)\)	\(e\left(\frac{64}{165}\right)\)	\(e\left(\frac{49}{330}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{157}{330}\right)\)
\(\chi_{60984}(43,\cdot)\)	60984.pu	66	no	\(1\)	\(1\)	\(e\left(\frac{43}{66}\right)\)	\(e\left(\frac{26}{33}\right)\)	\(e\left(\frac{3}{22}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{49}{66}\right)\)	\(e\left(\frac{10}{33}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{25}{66}\right)\)	\(e\left(\frac{1}{22}\right)\)	\(e\left(\frac{37}{66}\right)\)
\(\chi_{60984}(47,\cdot)\)	60984.yi	330	no	\(-1\)	\(1\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{269}{330}\right)\)	\(e\left(\frac{163}{165}\right)\)	\(e\left(\frac{101}{165}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{103}{330}\right)\)	\(e\left(\frac{47}{165}\right)\)	\(e\left(\frac{14}{165}\right)\)	\(e\left(\frac{136}{165}\right)\)
\(\chi_{60984}(53,\cdot)\)	60984.us	330	no	\(-1\)	\(1\)	\(e\left(\frac{106}{165}\right)\)	\(e\left(\frac{91}{110}\right)\)	\(e\left(\frac{127}{330}\right)\)	\(e\left(\frac{269}{330}\right)\)	\(e\left(\frac{19}{66}\right)\)	\(e\left(\frac{47}{165}\right)\)	\(e\left(\frac{21}{55}\right)\)	\(e\left(\frac{89}{165}\right)\)	\(e\left(\frac{101}{330}\right)\)	\(e\left(\frac{73}{110}\right)\)
\(\chi_{60984}(59,\cdot)\)	60984.ty	330	yes	\(-1\)	\(1\)	\(e\left(\frac{3}{110}\right)\)	\(e\left(\frac{8}{165}\right)\)	\(e\left(\frac{152}{165}\right)\)	\(e\left(\frac{323}{330}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{46}{165}\right)\)	\(e\left(\frac{58}{165}\right)\)	\(e\left(\frac{17}{330}\right)\)	\(e\left(\frac{59}{165}\right)\)
\(\chi_{60984}(61,\cdot)\)	60984.yk	330	yes	\(1\)	\(1\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{137}{330}\right)\)	\(e\left(\frac{64}{165}\right)\)	\(e\left(\frac{301}{330}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{2}{165}\right)\)	\(e\left(\frac{127}{330}\right)\)	\(e\left(\frac{259}{330}\right)\)	\(e\left(\frac{103}{165}\right)\)
\(\chi_{60984}(65,\cdot)\)	60984.sc	66	no	\(1\)	\(1\)	\(e\left(\frac{5}{22}\right)\)	\(e\left(\frac{1}{66}\right)\)	\(e\left(\frac{26}{33}\right)\)	\(e\left(\frac{47}{66}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{7}{33}\right)\)	\(e\left(\frac{16}{33}\right)\)	\(e\left(\frac{16}{33}\right)\)	\(e\left(\frac{14}{33}\right)\)
\(\chi_{60984}(67,\cdot)\)	60984.se	66	yes	\(-1\)	\(1\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{65}{66}\right)\)	\(e\left(\frac{7}{33}\right)\)	\(e\left(\frac{26}{33}\right)\)	\(e\left(\frac{3}{22}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{19}{66}\right)\)	\(e\left(\frac{1}{66}\right)\)	\(e\left(\frac{1}{66}\right)\)	\(e\left(\frac{19}{33}\right)\)
\(\chi_{60984}(71,\cdot)\)	60984.sv	110	no	\(1\)	\(1\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{41}{110}\right)\)	\(e\left(\frac{47}{110}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{3}{110}\right)\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{49}{55}\right)\)	\(e\left(\frac{17}{110}\right)\)
\(\chi_{60984}(73,\cdot)\)	60984.xu	330	no	\(1\)	\(1\)	\(e\left(\frac{239}{330}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{107}{165}\right)\)	\(e\left(\frac{124}{165}\right)\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{74}{165}\right)\)	\(e\left(\frac{79}{110}\right)\)	\(e\left(\frac{31}{330}\right)\)	\(e\left(\frac{76}{165}\right)\)	\(e\left(\frac{13}{55}\right)\)
\(\chi_{60984}(79,\cdot)\)	60984.yn	330	no	\(1\)	\(1\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{323}{330}\right)\)	\(e\left(\frac{197}{330}\right)\)	\(e\left(\frac{17}{165}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{1}{330}\right)\)	\(e\left(\frac{73}{330}\right)\)	\(e\left(\frac{53}{165}\right)\)	\(e\left(\frac{299}{330}\right)\)
\(\chi_{60984}(83,\cdot)\)	60984.xg	330	yes	\(1\)	\(1\)	\(e\left(\frac{113}{330}\right)\)	\(e\left(\frac{317}{330}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{21}{55}\right)\)	\(e\left(\frac{26}{33}\right)\)	\(e\left(\frac{113}{165}\right)\)	\(e\left(\frac{49}{330}\right)\)	\(e\left(\frac{1}{165}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{131}{330}\right)\)
\(\chi_{60984}(85,\cdot)\)	60984.wq	330	no	\(-1\)	\(1\)	\(e\left(\frac{301}{330}\right)\)	\(e\left(\frac{17}{165}\right)\)	\(e\left(\frac{87}{110}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{31}{33}\right)\)	\(e\left(\frac{136}{165}\right)\)	\(e\left(\frac{139}{165}\right)\)	\(e\left(\frac{137}{165}\right)\)	\(e\left(\frac{51}{110}\right)\)	\(e\left(\frac{127}{330}\right)\)
\(\chi_{60984}(89,\cdot)\)	60984.rt	66	no	\(1\)	\(1\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{29}{66}\right)\)	\(e\left(\frac{23}{66}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{49}{66}\right)\)	\(e\left(\frac{19}{33}\right)\)	\(e\left(\frac{6}{11}\right)\)
\(\chi_{60984}(95,\cdot)\)	60984.ue	330	no	\(-1\)	\(1\)	\(e\left(\frac{13}{110}\right)\)	\(e\left(\frac{271}{330}\right)\)	\(e\left(\frac{17}{165}\right)\)	\(e\left(\frac{49}{165}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{16}{165}\right)\)	\(e\left(\frac{191}{330}\right)\)	\(e\left(\frac{46}{165}\right)\)	\(e\left(\frac{164}{165}\right)\)
\(\chi_{60984}(97,\cdot)\)	60984.xe	330	no	\(-1\)	\(1\)	\(e\left(\frac{17}{330}\right)\)	\(e\left(\frac{293}{330}\right)\)	\(e\left(\frac{59}{110}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{8}{33}\right)\)	\(e\left(\frac{17}{165}\right)\)	\(e\left(\frac{38}{165}\right)\)	\(e\left(\frac{323}{330}\right)\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{119}{330}\right)\)
\(\chi_{60984}(101,\cdot)\)	60984.xn	330	yes	\(-1\)	\(1\)	\(e\left(\frac{97}{330}\right)\)	\(e\left(\frac{203}{330}\right)\)	\(e\left(\frac{7}{330}\right)\)	\(e\left(\frac{59}{330}\right)\)	\(e\left(\frac{35}{66}\right)\)	\(e\left(\frac{97}{165}\right)\)	\(e\left(\frac{301}{330}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{281}{330}\right)\)	\(e\left(\frac{239}{330}\right)\)
\(\chi_{60984}(103,\cdot)\)	60984.xl	330	no	\(1\)	\(1\)	\(e\left(\frac{299}{330}\right)\)	\(e\left(\frac{61}{330}\right)\)	\(e\left(\frac{59}{330}\right)\)	\(e\left(\frac{119}{165}\right)\)	\(e\left(\frac{31}{66}\right)\)	\(e\left(\frac{134}{165}\right)\)	\(e\left(\frac{31}{165}\right)\)	\(e\left(\frac{21}{55}\right)\)	\(e\left(\frac{41}{165}\right)\)	\(e\left(\frac{223}{330}\right)\)
\(\chi_{60984}(107,\cdot)\)	60984.wa	330	no	\(-1\)	\(1\)	\(e\left(\frac{8}{165}\right)\)	\(e\left(\frac{19}{55}\right)\)	\(e\left(\frac{148}{165}\right)\)	\(e\left(\frac{67}{330}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{16}{165}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{29}{330}\right)\)	\(e\left(\frac{73}{330}\right)\)	\(e\left(\frac{37}{55}\right)\)
\(\chi_{60984}(109,\cdot)\)	60984.ol	66	no	\(-1\)	\(1\)	\(e\left(\frac{25}{66}\right)\)	\(e\left(\frac{7}{11}\right)\)	\(e\left(\frac{17}{66}\right)\)	\(e\left(\frac{8}{33}\right)\)	\(e\left(\frac{20}{33}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{13}{66}\right)\)	\(e\left(\frac{7}{22}\right)\)
\(\chi_{60984}(113,\cdot)\)	60984.wp	330	no	\(-1\)	\(1\)	\(e\left(\frac{61}{330}\right)\)	\(e\left(\frac{152}{165}\right)\)	\(e\left(\frac{37}{110}\right)\)	\(e\left(\frac{42}{55}\right)\)	\(e\left(\frac{5}{66}\right)\)	\(e\left(\frac{61}{165}\right)\)	\(e\left(\frac{263}{330}\right)\)	\(e\left(\frac{2}{165}\right)\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{97}{330}\right)\)
\(\chi_{60984}(115,\cdot)\)	60984.vd	330	yes	\(1\)	\(1\)	\(e\left(\frac{89}{165}\right)\)	\(e\left(\frac{91}{165}\right)\)	\(e\left(\frac{103}{330}\right)\)	\(e\left(\frac{161}{330}\right)\)	\(e\left(\frac{53}{66}\right)\)	\(e\left(\frac{13}{165}\right)\)	\(e\left(\frac{139}{330}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{269}{330}\right)\)	\(e\left(\frac{311}{330}\right)\)

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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.