LMFDB - Group of Dirichlet characters of modulus 76230

Show commands: PariGP / SageMath

sage: H = DirichletGroup(76230)

pari: g = idealstar(,76230,2)

Character group

sage: G.order() pari: g.no
Order	=	15840
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{6}\times C_{660}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{76230}(8471,\cdot)$, $\chi_{76230}(15247,\cdot)$, $\chi_{76230}(65341,\cdot)$, $\chi_{76230}(57961,\cdot)$

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	$-1$	$1$	$13$	$17$	$19$	$23$	$29$	$31$	$37$	$41$	$43$	$47$
$\chi_{76230}(1,\cdot)$	76230.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{76230}(13,\cdot)$	76230.rh	660	no	$-1$	$1$	$e\left(\frac{101}{660}\right)$	$e\left(\frac{53}{220}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{25}{132}\right)$	$e\left(\frac{73}{165}\right)$	$e\left(\frac{43}{330}\right)$	$e\left(\frac{69}{220}\right)$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{71}{132}\right)$	$e\left(\frac{373}{660}\right)$
$\chi_{76230}(17,\cdot)$	76230.rx	660	no	$1$	$1$	$e\left(\frac{53}{220}\right)$	$e\left(\frac{491}{660}\right)$	$e\left(\frac{101}{330}\right)$	$e\left(\frac{101}{132}\right)$	$e\left(\frac{63}{110}\right)$	$e\left(\frac{157}{330}\right)$	$e\left(\frac{193}{660}\right)$	$e\left(\frac{27}{110}\right)$	$e\left(\frac{39}{44}\right)$	$e\left(\frac{157}{660}\right)$
$\chi_{76230}(19,\cdot)$	76230.pc	330	no	$1$	$1$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{101}{330}\right)$	$e\left(\frac{131}{165}\right)$	$e\left(\frac{65}{66}\right)$	$e\left(\frac{91}{110}\right)$	$e\left(\frac{239}{330}\right)$	$e\left(\frac{283}{330}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{101}{165}\right)$
$\chi_{76230}(23,\cdot)$	76230.nq	132	no	$1$	$1$	$e\left(\frac{25}{132}\right)$	$e\left(\frac{101}{132}\right)$	$e\left(\frac{65}{66}\right)$	$e\left(\frac{83}{132}\right)$	$e\left(\frac{5}{33}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{19}{132}\right)$	$e\left(\frac{53}{66}\right)$	$e\left(\frac{65}{132}\right)$	$e\left(\frac{27}{44}\right)$
$\chi_{76230}(29,\cdot)$	76230.pg	330	no	$1$	$1$	$e\left(\frac{73}{165}\right)$	$e\left(\frac{63}{110}\right)$	$e\left(\frac{91}{110}\right)$	$e\left(\frac{5}{33}\right)$	$e\left(\frac{131}{165}\right)$	$e\left(\frac{103}{165}\right)$	$e\left(\frac{109}{110}\right)$	$e\left(\frac{64}{165}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{134}{165}\right)$
$\chi_{76230}(31,\cdot)$	76230.qr	330	no	$-1$	$1$	$e\left(\frac{43}{330}\right)$	$e\left(\frac{157}{330}\right)$	$e\left(\frac{239}{330}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{103}{165}\right)$	$e\left(\frac{23}{330}\right)$	$e\left(\frac{28}{165}\right)$	$e\left(\frac{49}{330}\right)$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{259}{330}\right)$
$\chi_{76230}(37,\cdot)$	76230.rw	660	no	$-1$	$1$	$e\left(\frac{69}{220}\right)$	$e\left(\frac{193}{660}\right)$	$e\left(\frac{283}{330}\right)$	$e\left(\frac{19}{132}\right)$	$e\left(\frac{109}{110}\right)$	$e\left(\frac{28}{165}\right)$	$e\left(\frac{629}{660}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{13}{44}\right)$	$e\left(\frac{221}{660}\right)$
$\chi_{76230}(41,\cdot)$	76230.pi	330	no	$-1$	$1$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{27}{110}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{53}{66}\right)$	$e\left(\frac{64}{165}\right)$	$e\left(\frac{49}{330}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{157}{330}\right)$	$e\left(\frac{37}{66}\right)$	$e\left(\frac{136}{165}\right)$
$\chi_{76230}(43,\cdot)$	76230.nj	132	no	$1$	$1$	$e\left(\frac{71}{132}\right)$	$e\left(\frac{39}{44}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{65}{132}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{13}{44}\right)$	$e\left(\frac{37}{66}\right)$	$e\left(\frac{79}{132}\right)$	$e\left(\frac{91}{132}\right)$
$\chi_{76230}(47,\cdot)$	76230.ro	660	no	$-1$	$1$	$e\left(\frac{373}{660}\right)$	$e\left(\frac{157}{660}\right)$	$e\left(\frac{101}{165}\right)$	$e\left(\frac{27}{44}\right)$	$e\left(\frac{134}{165}\right)$	$e\left(\frac{259}{330}\right)$	$e\left(\frac{221}{660}\right)$	$e\left(\frac{136}{165}\right)$	$e\left(\frac{91}{132}\right)$	$e\left(\frac{589}{660}\right)$
$\chi_{76230}(53,\cdot)$	76230.sg	660	no	$1$	$1$	$e\left(\frac{127}{220}\right)$	$e\left(\frac{89}{660}\right)$	$e\left(\frac{269}{330}\right)$	$e\left(\frac{71}{132}\right)$	$e\left(\frac{21}{55}\right)$	$e\left(\frac{89}{165}\right)$	$e\left(\frac{367}{660}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{15}{44}\right)$	$e\left(\frac{13}{660}\right)$
$\chi_{76230}(59,\cdot)$	76230.pv	330	no	$1$	$1$	$e\left(\frac{8}{165}\right)$	$e\left(\frac{139}{330}\right)$	$e\left(\frac{323}{330}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{257}{330}\right)$	$e\left(\frac{281}{330}\right)$	$e\left(\frac{17}{330}\right)$	$e\left(\frac{59}{165}\right)$	$e\left(\frac{7}{66}\right)$	$e\left(\frac{223}{330}\right)$
$\chi_{76230}(61,\cdot)$	76230.pk	330	no	$1$	$1$	$e\left(\frac{151}{165}\right)$	$e\left(\frac{64}{165}\right)$	$e\left(\frac{68}{165}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{169}{330}\right)$	$e\left(\frac{127}{330}\right)$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{103}{165}\right)$	$e\left(\frac{29}{66}\right)$	$e\left(\frac{311}{330}\right)$
$\chi_{76230}(67,\cdot)$	76230.no	132	no	$-1$	$1$	$e\left(\frac{31}{132}\right)$	$e\left(\frac{61}{132}\right)$	$e\left(\frac{19}{66}\right)$	$e\left(\frac{17}{44}\right)$	$e\left(\frac{19}{66}\right)$	$e\left(\frac{17}{33}\right)$	$e\left(\frac{101}{132}\right)$	$e\left(\frac{19}{33}\right)$	$e\left(\frac{107}{132}\right)$	$e\left(\frac{1}{132}\right)$
$\chi_{76230}(71,\cdot)$	76230.nb	110	no	$-1$	$1$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{41}{110}\right)$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{3}{110}\right)$	$e\left(\frac{27}{55}\right)$	$e\left(\frac{49}{55}\right)$	$e\left(\frac{17}{110}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{27}{110}\right)$
$\chi_{76230}(73,\cdot)$	76230.sh	660	no	$-1$	$1$	$e\left(\frac{159}{220}\right)$	$e\left(\frac{263}{660}\right)$	$e\left(\frac{83}{330}\right)$	$e\left(\frac{17}{132}\right)$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{31}{330}\right)$	$e\left(\frac{139}{660}\right)$	$e\left(\frac{13}{55}\right)$	$e\left(\frac{29}{44}\right)$	$e\left(\frac{361}{660}\right)$
$\chi_{76230}(79,\cdot)$	76230.pp	330	no	$-1$	$1$	$e\left(\frac{79}{165}\right)$	$e\left(\frac{16}{165}\right)$	$e\left(\frac{199}{330}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{1}{330}\right)$	$e\left(\frac{119}{165}\right)$	$e\left(\frac{271}{330}\right)$	$e\left(\frac{299}{330}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{119}{330}\right)$
$\chi_{76230}(83,\cdot)$	76230.rj	660	no	$1$	$1$	$e\left(\frac{469}{660}\right)$	$e\left(\frac{147}{220}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{71}{132}\right)$	$e\left(\frac{49}{330}\right)$	$e\left(\frac{167}{330}\right)$	$e\left(\frac{181}{220}\right)$	$e\left(\frac{131}{330}\right)$	$e\left(\frac{67}{132}\right)$	$e\left(\frac{167}{660}\right)$
$\chi_{76230}(89,\cdot)$	76230.kk	66	no	$1$	$1$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{37}{66}\right)$	$e\left(\frac{29}{66}\right)$	$e\left(\frac{28}{33}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{49}{66}\right)$	$e\left(\frac{5}{66}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{41}{66}\right)$
$\chi_{76230}(97,\cdot)$	76230.sl	660	no	$1$	$1$	$e\left(\frac{421}{660}\right)$	$e\left(\frac{173}{220}\right)$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{131}{132}\right)$	$e\left(\frac{241}{330}\right)$	$e\left(\frac{323}{330}\right)$	$e\left(\frac{219}{220}\right)$	$e\left(\frac{119}{330}\right)$	$e\left(\frac{79}{132}\right)$	$e\left(\frac{323}{660}\right)$
$\chi_{76230}(101,\cdot)$	76230.pq	330	no	$-1$	$1$	$e\left(\frac{19}{165}\right)$	$e\left(\frac{7}{330}\right)$	$e\left(\frac{112}{165}\right)$	$e\left(\frac{35}{66}\right)$	$e\left(\frac{68}{165}\right)$	$e\left(\frac{101}{110}\right)$	$e\left(\frac{58}{165}\right)$	$e\left(\frac{239}{330}\right)$	$e\left(\frac{29}{66}\right)$	$e\left(\frac{39}{55}\right)$
$\chi_{76230}(103,\cdot)$	76230.rq	660	no	$1$	$1$	$e\left(\frac{287}{660}\right)$	$e\left(\frac{613}{660}\right)$	$e\left(\frac{119}{165}\right)$	$e\left(\frac{29}{132}\right)$	$e\left(\frac{227}{330}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{659}{660}\right)$	$e\left(\frac{223}{330}\right)$	$e\left(\frac{41}{132}\right)$	$e\left(\frac{207}{220}\right)$
$\chi_{76230}(107,\cdot)$	76230.rk	660	no	$-1$	$1$	$e\left(\frac{131}{220}\right)$	$e\left(\frac{97}{660}\right)$	$e\left(\frac{116}{165}\right)$	$e\left(\frac{1}{132}\right)$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{97}{165}\right)$	$e\left(\frac{641}{660}\right)$	$e\left(\frac{37}{55}\right)$	$e\left(\frac{3}{44}\right)$	$e\left(\frac{359}{660}\right)$
$\chi_{76230}(109,\cdot)$	76230.ko	66	no	$-1$	$1$	$e\left(\frac{7}{11}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{49}{66}\right)$	$e\left(\frac{7}{66}\right)$	$e\left(\frac{9}{22}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{13}{66}\right)$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{1}{66}\right)$
$\chi_{76230}(113,\cdot)$	76230.rg	660	no	$1$	$1$	$e\left(\frac{113}{660}\right)$	$e\left(\frac{19}{220}\right)$	$e\left(\frac{29}{110}\right)$	$e\left(\frac{43}{132}\right)$	$e\left(\frac{49}{165}\right)$	$e\left(\frac{2}{165}\right)$	$e\left(\frac{197}{220}\right)$	$e\left(\frac{97}{330}\right)$	$e\left(\frac{101}{132}\right)$	$e\left(\frac{169}{660}\right)$
$\chi_{76230}(127,\cdot)$	76230.ox	220	no	$1$	$1$	$e\left(\frac{103}{220}\right)$	$e\left(\frac{197}{220}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{17}{44}\right)$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{51}{220}\right)$	$e\left(\frac{67}{110}\right)$	$e\left(\frac{43}{44}\right)$	$e\left(\frac{119}{220}\right)$
$\chi_{76230}(131,\cdot)$	76230.lw	66	no	$-1$	$1$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{49}{66}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{37}{66}\right)$	$e\left(\frac{14}{33}\right)$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{10}{33}\right)$	$e\left(\frac{23}{66}\right)$	$e\left(\frac{25}{66}\right)$	$e\left(\frac{9}{11}\right)$
$\chi_{76230}(137,\cdot)$	76230.sb	660	no	$1$	$1$	$e\left(\frac{499}{660}\right)$	$e\left(\frac{131}{660}\right)$	$e\left(\frac{281}{330}\right)$	$e\left(\frac{61}{132}\right)$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{7}{55}\right)$	$e\left(\frac{73}{660}\right)$	$e\left(\frac{221}{330}\right)$	$e\left(\frac{43}{132}\right)$	$e\left(\frac{69}{220}\right)$
$\chi_{76230}(139,\cdot)$	76230.qe	330	no	$1$	$1$	$e\left(\frac{61}{330}\right)$	$e\left(\frac{93}{110}\right)$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{53}{66}\right)$	$e\left(\frac{227}{330}\right)$	$e\left(\frac{181}{330}\right)$	$e\left(\frac{9}{110}\right)$	$e\left(\frac{29}{165}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{4}{165}\right)$
$\chi_{76230}(149,\cdot)$	76230.pw	330	no	$1$	$1$	$e\left(\frac{71}{165}\right)$	$e\left(\frac{113}{330}\right)$	$e\left(\frac{151}{330}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{37}{165}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{199}{330}\right)$	$e\left(\frac{8}{165}\right)$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{1}{55}\right)$
$\chi_{76230}(151,\cdot)$	76230.qu	330	no	$-1$	$1$	$e\left(\frac{329}{330}\right)$	$e\left(\frac{91}{330}\right)$	$e\left(\frac{107}{330}\right)$	$e\left(\frac{13}{33}\right)$	$e\left(\frac{283}{330}\right)$	$e\left(\frac{24}{55}\right)$	$e\left(\frac{94}{165}\right)$	$e\left(\frac{137}{330}\right)$	$e\left(\frac{47}{66}\right)$	$e\left(\frac{12}{55}\right)$

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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	$76230$
Structure	\(C_{2}\times C_{2}\times C_{6}\times C_{660}\)
Order	$15840$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)	\(47\)
\(\chi_{76230}(1,\cdot)\)	76230.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{76230}(13,\cdot)\)	76230.rh	660	no	\(-1\)	\(1\)	\(e\left(\frac{101}{660}\right)\)	\(e\left(\frac{53}{220}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{25}{132}\right)\)	\(e\left(\frac{73}{165}\right)\)	\(e\left(\frac{43}{330}\right)\)	\(e\left(\frac{69}{220}\right)\)	\(e\left(\frac{47}{165}\right)\)	\(e\left(\frac{71}{132}\right)\)	\(e\left(\frac{373}{660}\right)\)
\(\chi_{76230}(17,\cdot)\)	76230.rx	660	no	\(1\)	\(1\)	\(e\left(\frac{53}{220}\right)\)	\(e\left(\frac{491}{660}\right)\)	\(e\left(\frac{101}{330}\right)\)	\(e\left(\frac{101}{132}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{157}{330}\right)\)	\(e\left(\frac{193}{660}\right)\)	\(e\left(\frac{27}{110}\right)\)	\(e\left(\frac{39}{44}\right)\)	\(e\left(\frac{157}{660}\right)\)
\(\chi_{76230}(19,\cdot)\)	76230.pc	330	no	\(1\)	\(1\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{101}{330}\right)\)	\(e\left(\frac{131}{165}\right)\)	\(e\left(\frac{65}{66}\right)\)	\(e\left(\frac{91}{110}\right)\)	\(e\left(\frac{239}{330}\right)\)	\(e\left(\frac{283}{330}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{101}{165}\right)\)
\(\chi_{76230}(23,\cdot)\)	76230.nq	132	no	\(1\)	\(1\)	\(e\left(\frac{25}{132}\right)\)	\(e\left(\frac{101}{132}\right)\)	\(e\left(\frac{65}{66}\right)\)	\(e\left(\frac{83}{132}\right)\)	\(e\left(\frac{5}{33}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{19}{132}\right)\)	\(e\left(\frac{53}{66}\right)\)	\(e\left(\frac{65}{132}\right)\)	\(e\left(\frac{27}{44}\right)\)
\(\chi_{76230}(29,\cdot)\)	76230.pg	330	no	\(1\)	\(1\)	\(e\left(\frac{73}{165}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{91}{110}\right)\)	\(e\left(\frac{5}{33}\right)\)	\(e\left(\frac{131}{165}\right)\)	\(e\left(\frac{103}{165}\right)\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{64}{165}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{134}{165}\right)\)
\(\chi_{76230}(31,\cdot)\)	76230.qr	330	no	\(-1\)	\(1\)	\(e\left(\frac{43}{330}\right)\)	\(e\left(\frac{157}{330}\right)\)	\(e\left(\frac{239}{330}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{103}{165}\right)\)	\(e\left(\frac{23}{330}\right)\)	\(e\left(\frac{28}{165}\right)\)	\(e\left(\frac{49}{330}\right)\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{259}{330}\right)\)
\(\chi_{76230}(37,\cdot)\)	76230.rw	660	no	\(-1\)	\(1\)	\(e\left(\frac{69}{220}\right)\)	\(e\left(\frac{193}{660}\right)\)	\(e\left(\frac{283}{330}\right)\)	\(e\left(\frac{19}{132}\right)\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{28}{165}\right)\)	\(e\left(\frac{629}{660}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{13}{44}\right)\)	\(e\left(\frac{221}{660}\right)\)
\(\chi_{76230}(41,\cdot)\)	76230.pi	330	no	\(-1\)	\(1\)	\(e\left(\frac{47}{165}\right)\)	\(e\left(\frac{27}{110}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{53}{66}\right)\)	\(e\left(\frac{64}{165}\right)\)	\(e\left(\frac{49}{330}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{157}{330}\right)\)	\(e\left(\frac{37}{66}\right)\)	\(e\left(\frac{136}{165}\right)\)
\(\chi_{76230}(43,\cdot)\)	76230.nj	132	no	\(1\)	\(1\)	\(e\left(\frac{71}{132}\right)\)	\(e\left(\frac{39}{44}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{65}{132}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{13}{44}\right)\)	\(e\left(\frac{37}{66}\right)\)	\(e\left(\frac{79}{132}\right)\)	\(e\left(\frac{91}{132}\right)\)
\(\chi_{76230}(47,\cdot)\)	76230.ro	660	no	\(-1\)	\(1\)	\(e\left(\frac{373}{660}\right)\)	\(e\left(\frac{157}{660}\right)\)	\(e\left(\frac{101}{165}\right)\)	\(e\left(\frac{27}{44}\right)\)	\(e\left(\frac{134}{165}\right)\)	\(e\left(\frac{259}{330}\right)\)	\(e\left(\frac{221}{660}\right)\)	\(e\left(\frac{136}{165}\right)\)	\(e\left(\frac{91}{132}\right)\)	\(e\left(\frac{589}{660}\right)\)
\(\chi_{76230}(53,\cdot)\)	76230.sg	660	no	\(1\)	\(1\)	\(e\left(\frac{127}{220}\right)\)	\(e\left(\frac{89}{660}\right)\)	\(e\left(\frac{269}{330}\right)\)	\(e\left(\frac{71}{132}\right)\)	\(e\left(\frac{21}{55}\right)\)	\(e\left(\frac{89}{165}\right)\)	\(e\left(\frac{367}{660}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{15}{44}\right)\)	\(e\left(\frac{13}{660}\right)\)
\(\chi_{76230}(59,\cdot)\)	76230.pv	330	no	\(1\)	\(1\)	\(e\left(\frac{8}{165}\right)\)	\(e\left(\frac{139}{330}\right)\)	\(e\left(\frac{323}{330}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{257}{330}\right)\)	\(e\left(\frac{281}{330}\right)\)	\(e\left(\frac{17}{330}\right)\)	\(e\left(\frac{59}{165}\right)\)	\(e\left(\frac{7}{66}\right)\)	\(e\left(\frac{223}{330}\right)\)
\(\chi_{76230}(61,\cdot)\)	76230.pk	330	no	\(1\)	\(1\)	\(e\left(\frac{151}{165}\right)\)	\(e\left(\frac{64}{165}\right)\)	\(e\left(\frac{68}{165}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{169}{330}\right)\)	\(e\left(\frac{127}{330}\right)\)	\(e\left(\frac{47}{165}\right)\)	\(e\left(\frac{103}{165}\right)\)	\(e\left(\frac{29}{66}\right)\)	\(e\left(\frac{311}{330}\right)\)
\(\chi_{76230}(67,\cdot)\)	76230.no	132	no	\(-1\)	\(1\)	\(e\left(\frac{31}{132}\right)\)	\(e\left(\frac{61}{132}\right)\)	\(e\left(\frac{19}{66}\right)\)	\(e\left(\frac{17}{44}\right)\)	\(e\left(\frac{19}{66}\right)\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{101}{132}\right)\)	\(e\left(\frac{19}{33}\right)\)	\(e\left(\frac{107}{132}\right)\)	\(e\left(\frac{1}{132}\right)\)
\(\chi_{76230}(71,\cdot)\)	76230.nb	110	no	\(-1\)	\(1\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{41}{110}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{3}{110}\right)\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{49}{55}\right)\)	\(e\left(\frac{17}{110}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{27}{110}\right)\)
\(\chi_{76230}(73,\cdot)\)	76230.sh	660	no	\(-1\)	\(1\)	\(e\left(\frac{159}{220}\right)\)	\(e\left(\frac{263}{660}\right)\)	\(e\left(\frac{83}{330}\right)\)	\(e\left(\frac{17}{132}\right)\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{31}{330}\right)\)	\(e\left(\frac{139}{660}\right)\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{29}{44}\right)\)	\(e\left(\frac{361}{660}\right)\)
\(\chi_{76230}(79,\cdot)\)	76230.pp	330	no	\(-1\)	\(1\)	\(e\left(\frac{79}{165}\right)\)	\(e\left(\frac{16}{165}\right)\)	\(e\left(\frac{199}{330}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{1}{330}\right)\)	\(e\left(\frac{119}{165}\right)\)	\(e\left(\frac{271}{330}\right)\)	\(e\left(\frac{299}{330}\right)\)	\(e\left(\frac{16}{33}\right)\)	\(e\left(\frac{119}{330}\right)\)
\(\chi_{76230}(83,\cdot)\)	76230.rj	660	no	\(1\)	\(1\)	\(e\left(\frac{469}{660}\right)\)	\(e\left(\frac{147}{220}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{71}{132}\right)\)	\(e\left(\frac{49}{330}\right)\)	\(e\left(\frac{167}{330}\right)\)	\(e\left(\frac{181}{220}\right)\)	\(e\left(\frac{131}{330}\right)\)	\(e\left(\frac{67}{132}\right)\)	\(e\left(\frac{167}{660}\right)\)
\(\chi_{76230}(89,\cdot)\)	76230.kk	66	no	\(1\)	\(1\)	\(e\left(\frac{1}{11}\right)\)	\(e\left(\frac{37}{66}\right)\)	\(e\left(\frac{29}{66}\right)\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{49}{66}\right)\)	\(e\left(\frac{5}{66}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{3}{22}\right)\)	\(e\left(\frac{41}{66}\right)\)
\(\chi_{76230}(97,\cdot)\)	76230.sl	660	no	\(1\)	\(1\)	\(e\left(\frac{421}{660}\right)\)	\(e\left(\frac{173}{220}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{131}{132}\right)\)	\(e\left(\frac{241}{330}\right)\)	\(e\left(\frac{323}{330}\right)\)	\(e\left(\frac{219}{220}\right)\)	\(e\left(\frac{119}{330}\right)\)	\(e\left(\frac{79}{132}\right)\)	\(e\left(\frac{323}{660}\right)\)
\(\chi_{76230}(101,\cdot)\)	76230.pq	330	no	\(-1\)	\(1\)	\(e\left(\frac{19}{165}\right)\)	\(e\left(\frac{7}{330}\right)\)	\(e\left(\frac{112}{165}\right)\)	\(e\left(\frac{35}{66}\right)\)	\(e\left(\frac{68}{165}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{58}{165}\right)\)	\(e\left(\frac{239}{330}\right)\)	\(e\left(\frac{29}{66}\right)\)	\(e\left(\frac{39}{55}\right)\)
\(\chi_{76230}(103,\cdot)\)	76230.rq	660	no	\(1\)	\(1\)	\(e\left(\frac{287}{660}\right)\)	\(e\left(\frac{613}{660}\right)\)	\(e\left(\frac{119}{165}\right)\)	\(e\left(\frac{29}{132}\right)\)	\(e\left(\frac{227}{330}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{659}{660}\right)\)	\(e\left(\frac{223}{330}\right)\)	\(e\left(\frac{41}{132}\right)\)	\(e\left(\frac{207}{220}\right)\)
\(\chi_{76230}(107,\cdot)\)	76230.rk	660	no	\(-1\)	\(1\)	\(e\left(\frac{131}{220}\right)\)	\(e\left(\frac{97}{660}\right)\)	\(e\left(\frac{116}{165}\right)\)	\(e\left(\frac{1}{132}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{97}{165}\right)\)	\(e\left(\frac{641}{660}\right)\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{3}{44}\right)\)	\(e\left(\frac{359}{660}\right)\)
\(\chi_{76230}(109,\cdot)\)	76230.ko	66	no	\(-1\)	\(1\)	\(e\left(\frac{7}{11}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{49}{66}\right)\)	\(e\left(\frac{7}{66}\right)\)	\(e\left(\frac{9}{22}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{13}{66}\right)\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{1}{66}\right)\)
\(\chi_{76230}(113,\cdot)\)	76230.rg	660	no	\(1\)	\(1\)	\(e\left(\frac{113}{660}\right)\)	\(e\left(\frac{19}{220}\right)\)	\(e\left(\frac{29}{110}\right)\)	\(e\left(\frac{43}{132}\right)\)	\(e\left(\frac{49}{165}\right)\)	\(e\left(\frac{2}{165}\right)\)	\(e\left(\frac{197}{220}\right)\)	\(e\left(\frac{97}{330}\right)\)	\(e\left(\frac{101}{132}\right)\)	\(e\left(\frac{169}{660}\right)\)
\(\chi_{76230}(127,\cdot)\)	76230.ox	220	no	\(1\)	\(1\)	\(e\left(\frac{103}{220}\right)\)	\(e\left(\frac{197}{220}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{17}{44}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{51}{220}\right)\)	\(e\left(\frac{67}{110}\right)\)	\(e\left(\frac{43}{44}\right)\)	\(e\left(\frac{119}{220}\right)\)
\(\chi_{76230}(131,\cdot)\)	76230.lw	66	no	\(-1\)	\(1\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{49}{66}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{37}{66}\right)\)	\(e\left(\frac{14}{33}\right)\)	\(e\left(\frac{3}{22}\right)\)	\(e\left(\frac{10}{33}\right)\)	\(e\left(\frac{23}{66}\right)\)	\(e\left(\frac{25}{66}\right)\)	\(e\left(\frac{9}{11}\right)\)
\(\chi_{76230}(137,\cdot)\)	76230.sb	660	no	\(1\)	\(1\)	\(e\left(\frac{499}{660}\right)\)	\(e\left(\frac{131}{660}\right)\)	\(e\left(\frac{281}{330}\right)\)	\(e\left(\frac{61}{132}\right)\)	\(e\left(\frac{47}{165}\right)\)	\(e\left(\frac{7}{55}\right)\)	\(e\left(\frac{73}{660}\right)\)	\(e\left(\frac{221}{330}\right)\)	\(e\left(\frac{43}{132}\right)\)	\(e\left(\frac{69}{220}\right)\)
\(\chi_{76230}(139,\cdot)\)	76230.qe	330	no	\(1\)	\(1\)	\(e\left(\frac{61}{330}\right)\)	\(e\left(\frac{93}{110}\right)\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{53}{66}\right)\)	\(e\left(\frac{227}{330}\right)\)	\(e\left(\frac{181}{330}\right)\)	\(e\left(\frac{9}{110}\right)\)	\(e\left(\frac{29}{165}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{4}{165}\right)\)
\(\chi_{76230}(149,\cdot)\)	76230.pw	330	no	\(1\)	\(1\)	\(e\left(\frac{71}{165}\right)\)	\(e\left(\frac{113}{330}\right)\)	\(e\left(\frac{151}{330}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{37}{165}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{199}{330}\right)\)	\(e\left(\frac{8}{165}\right)\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{1}{55}\right)\)
\(\chi_{76230}(151,\cdot)\)	76230.qu	330	no	\(-1\)	\(1\)	\(e\left(\frac{329}{330}\right)\)	\(e\left(\frac{91}{330}\right)\)	\(e\left(\frac{107}{330}\right)\)	\(e\left(\frac{13}{33}\right)\)	\(e\left(\frac{283}{330}\right)\)	\(e\left(\frac{24}{55}\right)\)	\(e\left(\frac{94}{165}\right)\)	\(e\left(\frac{137}{330}\right)\)	\(e\left(\frac{47}{66}\right)\)	\(e\left(\frac{12}{55}\right)\)

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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.