LMFDB - Group of Dirichlet characters of modulus 5445

Show commands: PariGP / SageMath

sage: H = DirichletGroup(5445)

pari: g = idealstar(,5445,2)

Character group

sage: G.order() pari: g.no
Order	=	2640
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{660}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{5445}(3026,\cdot)$, $\chi_{5445}(4357,\cdot)$, $\chi_{5445}(3511,\cdot)$

First 32 of 2640 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	$-1$	$1$	$2$	$4$	$7$	$8$	$13$	$14$	$16$	$17$	$19$	$23$
$\chi_{5445}(1,\cdot)$	5445.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{5445}(2,\cdot)$	5445.dp	660	yes	$-1$	$1$	$e\left(\frac{281}{660}\right)$	$e\left(\frac{281}{330}\right)$	$e\left(\frac{647}{660}\right)$	$e\left(\frac{61}{220}\right)$	$e\left(\frac{1}{660}\right)$	$e\left(\frac{67}{165}\right)$	$e\left(\frac{116}{165}\right)$	$e\left(\frac{43}{220}\right)$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{29}{132}\right)$
$\chi_{5445}(4,\cdot)$	5445.dn	330	yes	$1$	$1$	$e\left(\frac{281}{330}\right)$	$e\left(\frac{116}{165}\right)$	$e\left(\frac{317}{330}\right)$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{1}{330}\right)$	$e\left(\frac{134}{165}\right)$	$e\left(\frac{67}{165}\right)$	$e\left(\frac{43}{110}\right)$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{29}{66}\right)$
$\chi_{5445}(7,\cdot)$	5445.dr	660	yes	$1$	$1$	$e\left(\frac{647}{660}\right)$	$e\left(\frac{317}{330}\right)$	$e\left(\frac{239}{660}\right)$	$e\left(\frac{207}{220}\right)$	$e\left(\frac{337}{660}\right)$	$e\left(\frac{113}{330}\right)$	$e\left(\frac{152}{165}\right)$	$e\left(\frac{81}{220}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{71}{132}\right)$
$\chi_{5445}(8,\cdot)$	5445.dg	220	no	$-1$	$1$	$e\left(\frac{61}{220}\right)$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{207}{220}\right)$	$e\left(\frac{183}{220}\right)$	$e\left(\frac{1}{220}\right)$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{6}{55}\right)$	$e\left(\frac{129}{220}\right)$	$e\left(\frac{42}{55}\right)$	$e\left(\frac{29}{44}\right)$
$\chi_{5445}(13,\cdot)$	5445.dr	660	yes	$1$	$1$	$e\left(\frac{1}{660}\right)$	$e\left(\frac{1}{330}\right)$	$e\left(\frac{337}{660}\right)$	$e\left(\frac{1}{220}\right)$	$e\left(\frac{431}{660}\right)$	$e\left(\frac{169}{330}\right)$	$e\left(\frac{1}{165}\right)$	$e\left(\frac{163}{220}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{25}{132}\right)$
$\chi_{5445}(14,\cdot)$	5445.dj	330	yes	$-1$	$1$	$e\left(\frac{67}{165}\right)$	$e\left(\frac{134}{165}\right)$	$e\left(\frac{113}{330}\right)$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{169}{330}\right)$	$e\left(\frac{247}{330}\right)$	$e\left(\frac{103}{165}\right)$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{25}{33}\right)$
$\chi_{5445}(16,\cdot)$	5445.dc	165	no	$1$	$1$	$e\left(\frac{116}{165}\right)$	$e\left(\frac{67}{165}\right)$	$e\left(\frac{152}{165}\right)$	$e\left(\frac{6}{55}\right)$	$e\left(\frac{1}{165}\right)$	$e\left(\frac{103}{165}\right)$	$e\left(\frac{134}{165}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{1}{55}\right)$	$e\left(\frac{29}{33}\right)$
$\chi_{5445}(17,\cdot)$	5445.dg	220	no	$-1$	$1$	$e\left(\frac{43}{220}\right)$	$e\left(\frac{43}{110}\right)$	$e\left(\frac{81}{220}\right)$	$e\left(\frac{129}{220}\right)$	$e\left(\frac{163}{220}\right)$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{127}{220}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{19}{44}\right)$
$\chi_{5445}(19,\cdot)$	5445.cx	110	no	$-1$	$1$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{42}{55}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{1}{55}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{7}{22}\right)$
$\chi_{5445}(23,\cdot)$	5445.db	132	yes	$1$	$1$	$e\left(\frac{29}{132}\right)$	$e\left(\frac{29}{66}\right)$	$e\left(\frac{71}{132}\right)$	$e\left(\frac{29}{44}\right)$	$e\left(\frac{25}{132}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{19}{44}\right)$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{127}{132}\right)$
$\chi_{5445}(26,\cdot)$	5445.cu	110	no	$-1$	$1$	$e\left(\frac{47}{110}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{27}{55}\right)$	$e\left(\frac{31}{110}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{101}{110}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{103}{110}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{9}{22}\right)$
$\chi_{5445}(28,\cdot)$	5445.de	220	no	$1$	$1$	$e\left(\frac{183}{220}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{71}{220}\right)$	$e\left(\frac{109}{220}\right)$	$e\left(\frac{113}{220}\right)$	$e\left(\frac{17}{110}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{167}{220}\right)$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{43}{44}\right)$
$\chi_{5445}(29,\cdot)$	5445.dk	330	yes	$1$	$1$	$e\left(\frac{271}{330}\right)$	$e\left(\frac{106}{165}\right)$	$e\left(\frac{41}{165}\right)$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{73}{165}\right)$	$e\left(\frac{23}{330}\right)$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{63}{110}\right)$	$e\left(\frac{91}{110}\right)$	$e\left(\frac{5}{33}\right)$
$\chi_{5445}(31,\cdot)$	5445.dc	165	no	$1$	$1$	$e\left(\frac{19}{165}\right)$	$e\left(\frac{38}{165}\right)$	$e\left(\frac{133}{165}\right)$	$e\left(\frac{19}{55}\right)$	$e\left(\frac{104}{165}\right)$	$e\left(\frac{152}{165}\right)$	$e\left(\frac{76}{165}\right)$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{49}{55}\right)$	$e\left(\frac{13}{33}\right)$
$\chi_{5445}(32,\cdot)$	5445.da	132	yes	$-1$	$1$	$e\left(\frac{17}{132}\right)$	$e\left(\frac{17}{66}\right)$	$e\left(\frac{119}{132}\right)$	$e\left(\frac{17}{44}\right)$	$e\left(\frac{1}{132}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{17}{33}\right)$	$e\left(\frac{43}{44}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{13}{132}\right)$
$\chi_{5445}(34,\cdot)$	5445.ck	66	yes	$1$	$1$	$e\left(\frac{41}{66}\right)$	$e\left(\frac{8}{33}\right)$	$e\left(\frac{23}{66}\right)$	$e\left(\frac{19}{22}\right)$	$e\left(\frac{49}{66}\right)$	$e\left(\frac{32}{33}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{43}{66}\right)$
$\chi_{5445}(37,\cdot)$	5445.dd	220	no	$-1$	$1$	$e\left(\frac{139}{220}\right)$	$e\left(\frac{29}{110}\right)$	$e\left(\frac{203}{220}\right)$	$e\left(\frac{197}{220}\right)$	$e\left(\frac{69}{220}\right)$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{29}{55}\right)$	$e\left(\frac{211}{220}\right)$	$e\left(\frac{21}{110}\right)$	$e\left(\frac{21}{44}\right)$
$\chi_{5445}(38,\cdot)$	5445.do	660	yes	$1$	$1$	$e\left(\frac{449}{660}\right)$	$e\left(\frac{119}{330}\right)$	$e\left(\frac{503}{660}\right)$	$e\left(\frac{9}{220}\right)$	$e\left(\frac{469}{660}\right)$	$e\left(\frac{73}{165}\right)$	$e\left(\frac{119}{165}\right)$	$e\left(\frac{147}{220}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{71}{132}\right)$
$\chi_{5445}(41,\cdot)$	5445.di	330	no	$1$	$1$	$e\left(\frac{7}{165}\right)$	$e\left(\frac{14}{165}\right)$	$e\left(\frac{263}{330}\right)$	$e\left(\frac{7}{55}\right)$	$e\left(\frac{259}{330}\right)$	$e\left(\frac{277}{330}\right)$	$e\left(\frac{28}{165}\right)$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{53}{66}\right)$
$\chi_{5445}(43,\cdot)$	5445.cy	132	yes	$1$	$1$	$e\left(\frac{85}{132}\right)$	$e\left(\frac{19}{66}\right)$	$e\left(\frac{1}{132}\right)$	$e\left(\frac{41}{44}\right)$	$e\left(\frac{71}{132}\right)$	$e\left(\frac{43}{66}\right)$	$e\left(\frac{19}{33}\right)$	$e\left(\frac{39}{44}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{65}{132}\right)$
$\chi_{5445}(46,\cdot)$	5445.cr	110	no	$-1$	$1$	$e\left(\frac{71}{110}\right)$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{57}{110}\right)$	$e\left(\frac{103}{110}\right)$	$e\left(\frac{21}{110}\right)$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{63}{110}\right)$	$e\left(\frac{2}{11}\right)$
$\chi_{5445}(47,\cdot)$	5445.do	660	yes	$1$	$1$	$e\left(\frac{203}{660}\right)$	$e\left(\frac{203}{330}\right)$	$e\left(\frac{101}{660}\right)$	$e\left(\frac{203}{220}\right)$	$e\left(\frac{43}{660}\right)$	$e\left(\frac{76}{165}\right)$	$e\left(\frac{38}{165}\right)$	$e\left(\frac{89}{220}\right)$	$e\left(\frac{49}{110}\right)$	$e\left(\frac{125}{132}\right)$
$\chi_{5445}(49,\cdot)$	5445.dn	330	yes	$1$	$1$	$e\left(\frac{317}{330}\right)$	$e\left(\frac{152}{165}\right)$	$e\left(\frac{239}{330}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{7}{330}\right)$	$e\left(\frac{113}{165}\right)$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{5}{66}\right)$
$\chi_{5445}(52,\cdot)$	5445.dr	660	yes	$1$	$1$	$e\left(\frac{563}{660}\right)$	$e\left(\frac{233}{330}\right)$	$e\left(\frac{311}{660}\right)$	$e\left(\frac{123}{220}\right)$	$e\left(\frac{433}{660}\right)$	$e\left(\frac{107}{330}\right)$	$e\left(\frac{68}{165}\right)$	$e\left(\frac{29}{220}\right)$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{83}{132}\right)$
$\chi_{5445}(53,\cdot)$	5445.df	220	no	$1$	$1$	$e\left(\frac{47}{220}\right)$	$e\left(\frac{47}{110}\right)$	$e\left(\frac{109}{220}\right)$	$e\left(\frac{141}{220}\right)$	$e\left(\frac{127}{220}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{103}{220}\right)$	$e\left(\frac{53}{110}\right)$	$e\left(\frac{9}{44}\right)$
$\chi_{5445}(56,\cdot)$	5445.cm	66	no	$-1$	$1$	$e\left(\frac{17}{66}\right)$	$e\left(\frac{17}{33}\right)$	$e\left(\frac{10}{33}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{17}{33}\right)$	$e\left(\frac{37}{66}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{13}{66}\right)$
$\chi_{5445}(58,\cdot)$	5445.dq	660	yes	$-1$	$1$	$e\left(\frac{163}{660}\right)$	$e\left(\frac{163}{330}\right)$	$e\left(\frac{151}{660}\right)$	$e\left(\frac{163}{220}\right)$	$e\left(\frac{293}{660}\right)$	$e\left(\frac{157}{330}\right)$	$e\left(\frac{163}{165}\right)$	$e\left(\frac{169}{220}\right)$	$e\left(\frac{9}{110}\right)$	$e\left(\frac{49}{132}\right)$
$\chi_{5445}(59,\cdot)$	5445.dj	330	yes	$-1$	$1$	$e\left(\frac{103}{165}\right)$	$e\left(\frac{41}{165}\right)$	$e\left(\frac{287}{330}\right)$	$e\left(\frac{48}{55}\right)$	$e\left(\frac{181}{330}\right)$	$e\left(\frac{163}{330}\right)$	$e\left(\frac{82}{165}\right)$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{1}{33}\right)$
$\chi_{5445}(61,\cdot)$	5445.dm	330	no	$-1$	$1$	$e\left(\frac{217}{330}\right)$	$e\left(\frac{52}{165}\right)$	$e\left(\frac{199}{330}\right)$	$e\left(\frac{107}{110}\right)$	$e\left(\frac{137}{330}\right)$	$e\left(\frac{43}{165}\right)$	$e\left(\frac{104}{165}\right)$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{27}{110}\right)$	$e\left(\frac{23}{33}\right)$
$\chi_{5445}(62,\cdot)$	5445.dg	220	no	$-1$	$1$	$e\left(\frac{119}{220}\right)$	$e\left(\frac{9}{110}\right)$	$e\left(\frac{173}{220}\right)$	$e\left(\frac{137}{220}\right)$	$e\left(\frac{139}{220}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{111}{220}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{27}{44}\right)$
$\chi_{5445}(64,\cdot)$	5445.cs	110	no	$1$	$1$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{6}{55}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{1}{110}\right)$	$e\left(\frac{24}{55}\right)$	$e\left(\frac{12}{55}\right)$	$e\left(\frac{19}{110}\right)$	$e\left(\frac{29}{55}\right)$	$e\left(\frac{7}{22}\right)$

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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	$5445$
Structure	\(C_{2}\times C_{2}\times C_{660}\)
Order	$2640$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)	\(23\)
\(\chi_{5445}(1,\cdot)\)	5445.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{5445}(2,\cdot)\)	5445.dp	660	yes	\(-1\)	\(1\)	\(e\left(\frac{281}{660}\right)\)	\(e\left(\frac{281}{330}\right)\)	\(e\left(\frac{647}{660}\right)\)	\(e\left(\frac{61}{220}\right)\)	\(e\left(\frac{1}{660}\right)\)	\(e\left(\frac{67}{165}\right)\)	\(e\left(\frac{116}{165}\right)\)	\(e\left(\frac{43}{220}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{29}{132}\right)\)
\(\chi_{5445}(4,\cdot)\)	5445.dn	330	yes	\(1\)	\(1\)	\(e\left(\frac{281}{330}\right)\)	\(e\left(\frac{116}{165}\right)\)	\(e\left(\frac{317}{330}\right)\)	\(e\left(\frac{61}{110}\right)\)	\(e\left(\frac{1}{330}\right)\)	\(e\left(\frac{134}{165}\right)\)	\(e\left(\frac{67}{165}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{28}{55}\right)\)	\(e\left(\frac{29}{66}\right)\)
\(\chi_{5445}(7,\cdot)\)	5445.dr	660	yes	\(1\)	\(1\)	\(e\left(\frac{647}{660}\right)\)	\(e\left(\frac{317}{330}\right)\)	\(e\left(\frac{239}{660}\right)\)	\(e\left(\frac{207}{220}\right)\)	\(e\left(\frac{337}{660}\right)\)	\(e\left(\frac{113}{330}\right)\)	\(e\left(\frac{152}{165}\right)\)	\(e\left(\frac{81}{220}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{71}{132}\right)\)
\(\chi_{5445}(8,\cdot)\)	5445.dg	220	no	\(-1\)	\(1\)	\(e\left(\frac{61}{220}\right)\)	\(e\left(\frac{61}{110}\right)\)	\(e\left(\frac{207}{220}\right)\)	\(e\left(\frac{183}{220}\right)\)	\(e\left(\frac{1}{220}\right)\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{129}{220}\right)\)	\(e\left(\frac{42}{55}\right)\)	\(e\left(\frac{29}{44}\right)\)
\(\chi_{5445}(13,\cdot)\)	5445.dr	660	yes	\(1\)	\(1\)	\(e\left(\frac{1}{660}\right)\)	\(e\left(\frac{1}{330}\right)\)	\(e\left(\frac{337}{660}\right)\)	\(e\left(\frac{1}{220}\right)\)	\(e\left(\frac{431}{660}\right)\)	\(e\left(\frac{169}{330}\right)\)	\(e\left(\frac{1}{165}\right)\)	\(e\left(\frac{163}{220}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{25}{132}\right)\)
\(\chi_{5445}(14,\cdot)\)	5445.dj	330	yes	\(-1\)	\(1\)	\(e\left(\frac{67}{165}\right)\)	\(e\left(\frac{134}{165}\right)\)	\(e\left(\frac{113}{330}\right)\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{169}{330}\right)\)	\(e\left(\frac{247}{330}\right)\)	\(e\left(\frac{103}{165}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{25}{33}\right)\)
\(\chi_{5445}(16,\cdot)\)	5445.dc	165	no	\(1\)	\(1\)	\(e\left(\frac{116}{165}\right)\)	\(e\left(\frac{67}{165}\right)\)	\(e\left(\frac{152}{165}\right)\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{1}{165}\right)\)	\(e\left(\frac{103}{165}\right)\)	\(e\left(\frac{134}{165}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{1}{55}\right)\)	\(e\left(\frac{29}{33}\right)\)
\(\chi_{5445}(17,\cdot)\)	5445.dg	220	no	\(-1\)	\(1\)	\(e\left(\frac{43}{220}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{81}{220}\right)\)	\(e\left(\frac{129}{220}\right)\)	\(e\left(\frac{163}{220}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{127}{220}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{19}{44}\right)\)
\(\chi_{5445}(19,\cdot)\)	5445.cx	110	no	\(-1\)	\(1\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{28}{55}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{42}{55}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{1}{55}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{7}{22}\right)\)
\(\chi_{5445}(23,\cdot)\)	5445.db	132	yes	\(1\)	\(1\)	\(e\left(\frac{29}{132}\right)\)	\(e\left(\frac{29}{66}\right)\)	\(e\left(\frac{71}{132}\right)\)	\(e\left(\frac{29}{44}\right)\)	\(e\left(\frac{25}{132}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{19}{44}\right)\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{127}{132}\right)\)
\(\chi_{5445}(26,\cdot)\)	5445.cu	110	no	\(-1\)	\(1\)	\(e\left(\frac{47}{110}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{31}{110}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{103}{110}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{9}{22}\right)\)
\(\chi_{5445}(28,\cdot)\)	5445.de	220	no	\(1\)	\(1\)	\(e\left(\frac{183}{220}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{71}{220}\right)\)	\(e\left(\frac{109}{220}\right)\)	\(e\left(\frac{113}{220}\right)\)	\(e\left(\frac{17}{110}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{167}{220}\right)\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{43}{44}\right)\)
\(\chi_{5445}(29,\cdot)\)	5445.dk	330	yes	\(1\)	\(1\)	\(e\left(\frac{271}{330}\right)\)	\(e\left(\frac{106}{165}\right)\)	\(e\left(\frac{41}{165}\right)\)	\(e\left(\frac{51}{110}\right)\)	\(e\left(\frac{73}{165}\right)\)	\(e\left(\frac{23}{330}\right)\)	\(e\left(\frac{47}{165}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{91}{110}\right)\)	\(e\left(\frac{5}{33}\right)\)
\(\chi_{5445}(31,\cdot)\)	5445.dc	165	no	\(1\)	\(1\)	\(e\left(\frac{19}{165}\right)\)	\(e\left(\frac{38}{165}\right)\)	\(e\left(\frac{133}{165}\right)\)	\(e\left(\frac{19}{55}\right)\)	\(e\left(\frac{104}{165}\right)\)	\(e\left(\frac{152}{165}\right)\)	\(e\left(\frac{76}{165}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{49}{55}\right)\)	\(e\left(\frac{13}{33}\right)\)
\(\chi_{5445}(32,\cdot)\)	5445.da	132	yes	\(-1\)	\(1\)	\(e\left(\frac{17}{132}\right)\)	\(e\left(\frac{17}{66}\right)\)	\(e\left(\frac{119}{132}\right)\)	\(e\left(\frac{17}{44}\right)\)	\(e\left(\frac{1}{132}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{43}{44}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{13}{132}\right)\)
\(\chi_{5445}(34,\cdot)\)	5445.ck	66	yes	\(1\)	\(1\)	\(e\left(\frac{41}{66}\right)\)	\(e\left(\frac{8}{33}\right)\)	\(e\left(\frac{23}{66}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{49}{66}\right)\)	\(e\left(\frac{32}{33}\right)\)	\(e\left(\frac{16}{33}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{43}{66}\right)\)
\(\chi_{5445}(37,\cdot)\)	5445.dd	220	no	\(-1\)	\(1\)	\(e\left(\frac{139}{220}\right)\)	\(e\left(\frac{29}{110}\right)\)	\(e\left(\frac{203}{220}\right)\)	\(e\left(\frac{197}{220}\right)\)	\(e\left(\frac{69}{220}\right)\)	\(e\left(\frac{61}{110}\right)\)	\(e\left(\frac{29}{55}\right)\)	\(e\left(\frac{211}{220}\right)\)	\(e\left(\frac{21}{110}\right)\)	\(e\left(\frac{21}{44}\right)\)
\(\chi_{5445}(38,\cdot)\)	5445.do	660	yes	\(1\)	\(1\)	\(e\left(\frac{449}{660}\right)\)	\(e\left(\frac{119}{330}\right)\)	\(e\left(\frac{503}{660}\right)\)	\(e\left(\frac{9}{220}\right)\)	\(e\left(\frac{469}{660}\right)\)	\(e\left(\frac{73}{165}\right)\)	\(e\left(\frac{119}{165}\right)\)	\(e\left(\frac{147}{220}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{71}{132}\right)\)
\(\chi_{5445}(41,\cdot)\)	5445.di	330	no	\(1\)	\(1\)	\(e\left(\frac{7}{165}\right)\)	\(e\left(\frac{14}{165}\right)\)	\(e\left(\frac{263}{330}\right)\)	\(e\left(\frac{7}{55}\right)\)	\(e\left(\frac{259}{330}\right)\)	\(e\left(\frac{277}{330}\right)\)	\(e\left(\frac{28}{165}\right)\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{53}{66}\right)\)
\(\chi_{5445}(43,\cdot)\)	5445.cy	132	yes	\(1\)	\(1\)	\(e\left(\frac{85}{132}\right)\)	\(e\left(\frac{19}{66}\right)\)	\(e\left(\frac{1}{132}\right)\)	\(e\left(\frac{41}{44}\right)\)	\(e\left(\frac{71}{132}\right)\)	\(e\left(\frac{43}{66}\right)\)	\(e\left(\frac{19}{33}\right)\)	\(e\left(\frac{39}{44}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{65}{132}\right)\)
\(\chi_{5445}(46,\cdot)\)	5445.cr	110	no	\(-1\)	\(1\)	\(e\left(\frac{71}{110}\right)\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{57}{110}\right)\)	\(e\left(\frac{103}{110}\right)\)	\(e\left(\frac{21}{110}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{2}{11}\right)\)
\(\chi_{5445}(47,\cdot)\)	5445.do	660	yes	\(1\)	\(1\)	\(e\left(\frac{203}{660}\right)\)	\(e\left(\frac{203}{330}\right)\)	\(e\left(\frac{101}{660}\right)\)	\(e\left(\frac{203}{220}\right)\)	\(e\left(\frac{43}{660}\right)\)	\(e\left(\frac{76}{165}\right)\)	\(e\left(\frac{38}{165}\right)\)	\(e\left(\frac{89}{220}\right)\)	\(e\left(\frac{49}{110}\right)\)	\(e\left(\frac{125}{132}\right)\)
\(\chi_{5445}(49,\cdot)\)	5445.dn	330	yes	\(1\)	\(1\)	\(e\left(\frac{317}{330}\right)\)	\(e\left(\frac{152}{165}\right)\)	\(e\left(\frac{239}{330}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{7}{330}\right)\)	\(e\left(\frac{113}{165}\right)\)	\(e\left(\frac{139}{165}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{5}{66}\right)\)
\(\chi_{5445}(52,\cdot)\)	5445.dr	660	yes	\(1\)	\(1\)	\(e\left(\frac{563}{660}\right)\)	\(e\left(\frac{233}{330}\right)\)	\(e\left(\frac{311}{660}\right)\)	\(e\left(\frac{123}{220}\right)\)	\(e\left(\frac{433}{660}\right)\)	\(e\left(\frac{107}{330}\right)\)	\(e\left(\frac{68}{165}\right)\)	\(e\left(\frac{29}{220}\right)\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{83}{132}\right)\)
\(\chi_{5445}(53,\cdot)\)	5445.df	220	no	\(1\)	\(1\)	\(e\left(\frac{47}{220}\right)\)	\(e\left(\frac{47}{110}\right)\)	\(e\left(\frac{109}{220}\right)\)	\(e\left(\frac{141}{220}\right)\)	\(e\left(\frac{127}{220}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{103}{220}\right)\)	\(e\left(\frac{53}{110}\right)\)	\(e\left(\frac{9}{44}\right)\)
\(\chi_{5445}(56,\cdot)\)	5445.cm	66	no	\(-1\)	\(1\)	\(e\left(\frac{17}{66}\right)\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{10}{33}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{37}{66}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{13}{66}\right)\)
\(\chi_{5445}(58,\cdot)\)	5445.dq	660	yes	\(-1\)	\(1\)	\(e\left(\frac{163}{660}\right)\)	\(e\left(\frac{163}{330}\right)\)	\(e\left(\frac{151}{660}\right)\)	\(e\left(\frac{163}{220}\right)\)	\(e\left(\frac{293}{660}\right)\)	\(e\left(\frac{157}{330}\right)\)	\(e\left(\frac{163}{165}\right)\)	\(e\left(\frac{169}{220}\right)\)	\(e\left(\frac{9}{110}\right)\)	\(e\left(\frac{49}{132}\right)\)
\(\chi_{5445}(59,\cdot)\)	5445.dj	330	yes	\(-1\)	\(1\)	\(e\left(\frac{103}{165}\right)\)	\(e\left(\frac{41}{165}\right)\)	\(e\left(\frac{287}{330}\right)\)	\(e\left(\frac{48}{55}\right)\)	\(e\left(\frac{181}{330}\right)\)	\(e\left(\frac{163}{330}\right)\)	\(e\left(\frac{82}{165}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{1}{33}\right)\)
\(\chi_{5445}(61,\cdot)\)	5445.dm	330	no	\(-1\)	\(1\)	\(e\left(\frac{217}{330}\right)\)	\(e\left(\frac{52}{165}\right)\)	\(e\left(\frac{199}{330}\right)\)	\(e\left(\frac{107}{110}\right)\)	\(e\left(\frac{137}{330}\right)\)	\(e\left(\frac{43}{165}\right)\)	\(e\left(\frac{104}{165}\right)\)	\(e\left(\frac{61}{110}\right)\)	\(e\left(\frac{27}{110}\right)\)	\(e\left(\frac{23}{33}\right)\)
\(\chi_{5445}(62,\cdot)\)	5445.dg	220	no	\(-1\)	\(1\)	\(e\left(\frac{119}{220}\right)\)	\(e\left(\frac{9}{110}\right)\)	\(e\left(\frac{173}{220}\right)\)	\(e\left(\frac{137}{220}\right)\)	\(e\left(\frac{139}{220}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{111}{220}\right)\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{27}{44}\right)\)
\(\chi_{5445}(64,\cdot)\)	5445.cs	110	no	\(1\)	\(1\)	\(e\left(\frac{61}{110}\right)\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{1}{110}\right)\)	\(e\left(\frac{24}{55}\right)\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{19}{110}\right)\)	\(e\left(\frac{29}{55}\right)\)	\(e\left(\frac{7}{22}\right)\)

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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.