LMFDB - Group of Dirichlet characters of modulus 190575

Show commands: PariGP / SageMath

sage: H = DirichletGroup(190575)

pari: g = idealstar(,190575,2)

Character group

sage: G.order() pari: g.no
Order	=	79200
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{30}\times C_{660}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{190575}(84701,\cdot)$, $\chi_{190575}(91477,\cdot)$, $\chi_{190575}(27226,\cdot)$, $\chi_{190575}(96076,\cdot)$

First 32 of 79200 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	$-1$	$1$	$2$	$4$	$8$	$13$	$16$	$17$	$19$	$23$	$26$	$29$
$\chi_{190575}(1,\cdot)$	190575.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{190575}(2,\cdot)$	190575.cjv	660	yes	$-1$	$1$	$e\left(\frac{589}{660}\right)$	$e\left(\frac{259}{330}\right)$	$e\left(\frac{149}{220}\right)$	$e\left(\frac{133}{660}\right)$	$e\left(\frac{94}{165}\right)$	$e\left(\frac{613}{660}\right)$	$e\left(\frac{53}{165}\right)$	$e\left(\frac{151}{220}\right)$	$e\left(\frac{31}{330}\right)$	$e\left(\frac{139}{330}\right)$
$\chi_{190575}(4,\cdot)$	190575.cbc	330	yes	$1$	$1$	$e\left(\frac{259}{330}\right)$	$e\left(\frac{94}{165}\right)$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{133}{330}\right)$	$e\left(\frac{23}{165}\right)$	$e\left(\frac{283}{330}\right)$	$e\left(\frac{106}{165}\right)$	$e\left(\frac{41}{110}\right)$	$e\left(\frac{31}{165}\right)$	$e\left(\frac{139}{165}\right)$
$\chi_{190575}(8,\cdot)$	190575.bqk	220	no	$-1$	$1$	$e\left(\frac{149}{220}\right)$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{7}{220}\right)$	$e\left(\frac{133}{220}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{173}{220}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{13}{220}\right)$	$e\left(\frac{31}{110}\right)$	$e\left(\frac{29}{110}\right)$
$\chi_{190575}(13,\cdot)$	190575.chz	660	yes	$-1$	$1$	$e\left(\frac{133}{660}\right)$	$e\left(\frac{133}{330}\right)$	$e\left(\frac{133}{220}\right)$	$e\left(\frac{629}{660}\right)$	$e\left(\frac{133}{165}\right)$	$e\left(\frac{37}{44}\right)$	$e\left(\frac{89}{110}\right)$	$e\left(\frac{257}{660}\right)$	$e\left(\frac{17}{110}\right)$	$e\left(\frac{139}{165}\right)$
$\chi_{190575}(16,\cdot)$	190575.bou	165	yes	$1$	$1$	$e\left(\frac{94}{165}\right)$	$e\left(\frac{23}{165}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{133}{165}\right)$	$e\left(\frac{46}{165}\right)$	$e\left(\frac{118}{165}\right)$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{62}{165}\right)$	$e\left(\frac{113}{165}\right)$
$\chi_{190575}(17,\cdot)$	190575.ckk	660	no	$1$	$1$	$e\left(\frac{613}{660}\right)$	$e\left(\frac{283}{330}\right)$	$e\left(\frac{173}{220}\right)$	$e\left(\frac{37}{44}\right)$	$e\left(\frac{118}{165}\right)$	$e\left(\frac{623}{660}\right)$	$e\left(\frac{167}{330}\right)$	$e\left(\frac{109}{660}\right)$	$e\left(\frac{127}{165}\right)$	$e\left(\frac{41}{110}\right)$
$\chi_{190575}(19,\cdot)$	190575.buy	330	no	$1$	$1$	$e\left(\frac{53}{165}\right)$	$e\left(\frac{106}{165}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{89}{110}\right)$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{167}{330}\right)$	$e\left(\frac{164}{165}\right)$	$e\left(\frac{127}{330}\right)$	$e\left(\frac{43}{330}\right)$	$e\left(\frac{69}{110}\right)$
$\chi_{190575}(23,\cdot)$	190575.cgz	660	yes	$1$	$1$	$e\left(\frac{151}{220}\right)$	$e\left(\frac{41}{110}\right)$	$e\left(\frac{13}{220}\right)$	$e\left(\frac{257}{660}\right)$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{109}{660}\right)$	$e\left(\frac{127}{330}\right)$	$e\left(\frac{283}{660}\right)$	$e\left(\frac{5}{66}\right)$	$e\left(\frac{124}{165}\right)$
$\chi_{190575}(26,\cdot)$	190575.byv	330	no	$1$	$1$	$e\left(\frac{31}{330}\right)$	$e\left(\frac{31}{165}\right)$	$e\left(\frac{31}{110}\right)$	$e\left(\frac{17}{110}\right)$	$e\left(\frac{62}{165}\right)$	$e\left(\frac{127}{165}\right)$	$e\left(\frac{43}{330}\right)$	$e\left(\frac{5}{66}\right)$	$e\left(\frac{41}{165}\right)$	$e\left(\frac{29}{110}\right)$
$\chi_{190575}(29,\cdot)$	190575.bzk	330	no	$1$	$1$	$e\left(\frac{139}{330}\right)$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{29}{110}\right)$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{113}{165}\right)$	$e\left(\frac{41}{110}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{124}{165}\right)$	$e\left(\frac{29}{110}\right)$	$e\left(\frac{164}{165}\right)$
$\chi_{190575}(31,\cdot)$	190575.cer	330	yes	$-1$	$1$	$e\left(\frac{28}{33}\right)$	$e\left(\frac{23}{33}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{241}{330}\right)$	$e\left(\frac{13}{33}\right)$	$e\left(\frac{223}{330}\right)$	$e\left(\frac{61}{66}\right)$	$e\left(\frac{7}{55}\right)$	$e\left(\frac{191}{330}\right)$	$e\left(\frac{14}{33}\right)$
$\chi_{190575}(32,\cdot)$	190575.bnx	132	no	$-1$	$1$	$e\left(\frac{61}{132}\right)$	$e\left(\frac{61}{66}\right)$	$e\left(\frac{17}{44}\right)$	$e\left(\frac{1}{132}\right)$	$e\left(\frac{28}{33}\right)$	$e\left(\frac{85}{132}\right)$	$e\left(\frac{20}{33}\right)$	$e\left(\frac{19}{44}\right)$	$e\left(\frac{31}{66}\right)$	$e\left(\frac{7}{66}\right)$
$\chi_{190575}(34,\cdot)$	190575.cae	330	yes	$-1$	$1$	$e\left(\frac{271}{330}\right)$	$e\left(\frac{106}{165}\right)$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{7}{165}\right)$	$e\left(\frac{47}{165}\right)$	$e\left(\frac{48}{55}\right)$	$e\left(\frac{91}{110}\right)$	$e\left(\frac{281}{330}\right)$	$e\left(\frac{19}{22}\right)$	$e\left(\frac{131}{165}\right)$
$\chi_{190575}(37,\cdot)$	190575.ckf	660	no	$-1$	$1$	$e\left(\frac{329}{660}\right)$	$e\left(\frac{329}{330}\right)$	$e\left(\frac{109}{220}\right)$	$e\left(\frac{5}{44}\right)$	$e\left(\frac{164}{165}\right)$	$e\left(\frac{589}{660}\right)$	$e\left(\frac{151}{330}\right)$	$e\left(\frac{227}{660}\right)$	$e\left(\frac{101}{165}\right)$	$e\left(\frac{43}{110}\right)$
$\chi_{190575}(38,\cdot)$	190575.cgn	660	yes	$-1$	$1$	$e\left(\frac{47}{220}\right)$	$e\left(\frac{47}{110}\right)$	$e\left(\frac{141}{220}\right)$	$e\left(\frac{7}{660}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{287}{660}\right)$	$e\left(\frac{52}{165}\right)$	$e\left(\frac{47}{660}\right)$	$e\left(\frac{37}{165}\right)$	$e\left(\frac{8}{165}\right)$
$\chi_{190575}(41,\cdot)$	190575.ceh	330	yes	$-1$	$1$	$e\left(\frac{8}{33}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{14}{165}\right)$	$e\left(\frac{32}{33}\right)$	$e\left(\frac{93}{110}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{1}{330}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{26}{33}\right)$
$\chi_{190575}(43,\cdot)$	190575.bnl	132	no	$1$	$1$	$e\left(\frac{85}{132}\right)$	$e\left(\frac{19}{66}\right)$	$e\left(\frac{41}{44}\right)$	$e\left(\frac{71}{132}\right)$	$e\left(\frac{19}{33}\right)$	$e\left(\frac{39}{44}\right)$	$e\left(\frac{4}{11}\right)$	$e\left(\frac{65}{132}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{1}{33}\right)$
$\chi_{190575}(46,\cdot)$	190575.cct	330	no	$-1$	$1$	$e\left(\frac{191}{330}\right)$	$e\left(\frac{26}{165}\right)$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{52}{165}\right)$	$e\left(\frac{31}{330}\right)$	$e\left(\frac{233}{330}\right)$	$e\left(\frac{19}{165}\right)$	$e\left(\frac{28}{165}\right)$	$e\left(\frac{19}{110}\right)$
$\chi_{190575}(47,\cdot)$	190575.civ	660	yes	$-1$	$1$	$e\left(\frac{379}{660}\right)$	$e\left(\frac{49}{330}\right)$	$e\left(\frac{159}{220}\right)$	$e\left(\frac{637}{660}\right)$	$e\left(\frac{49}{165}\right)$	$e\left(\frac{5}{132}\right)$	$e\left(\frac{68}{165}\right)$	$e\left(\frac{47}{220}\right)$	$e\left(\frac{89}{165}\right)$	$e\left(\frac{2}{165}\right)$
$\chi_{190575}(52,\cdot)$	190575.chk	660	yes	$-1$	$1$	$e\left(\frac{217}{220}\right)$	$e\left(\frac{107}{110}\right)$	$e\left(\frac{211}{220}\right)$	$e\left(\frac{47}{132}\right)$	$e\left(\frac{52}{55}\right)$	$e\left(\frac{461}{660}\right)$	$e\left(\frac{149}{330}\right)$	$e\left(\frac{503}{660}\right)$	$e\left(\frac{113}{330}\right)$	$e\left(\frac{113}{165}\right)$
$\chi_{190575}(53,\cdot)$	190575.cld	660	no	$1$	$1$	$e\left(\frac{97}{660}\right)$	$e\left(\frac{97}{330}\right)$	$e\left(\frac{97}{220}\right)$	$e\left(\frac{43}{44}\right)$	$e\left(\frac{97}{165}\right)$	$e\left(\frac{617}{660}\right)$	$e\left(\frac{203}{330}\right)$	$e\left(\frac{91}{660}\right)$	$e\left(\frac{41}{330}\right)$	$e\left(\frac{32}{55}\right)$
$\chi_{190575}(58,\cdot)$	190575.cha	660	yes	$-1$	$1$	$e\left(\frac{69}{220}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{207}{220}\right)$	$e\left(\frac{29}{660}\right)$	$e\left(\frac{14}{55}\right)$	$e\left(\frac{199}{660}\right)$	$e\left(\frac{313}{330}\right)$	$e\left(\frac{289}{660}\right)$	$e\left(\frac{59}{165}\right)$	$e\left(\frac{137}{330}\right)$
$\chi_{190575}(59,\cdot)$	190575.bxy	330	yes	$1$	$1$	$e\left(\frac{26}{165}\right)$	$e\left(\frac{52}{165}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{28}{33}\right)$	$e\left(\frac{104}{165}\right)$	$e\left(\frac{7}{330}\right)$	$e\left(\frac{191}{330}\right)$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{1}{165}\right)$	$e\left(\frac{59}{330}\right)$
$\chi_{190575}(61,\cdot)$	190575.cai	330	yes	$1$	$1$	$e\left(\frac{41}{330}\right)$	$e\left(\frac{41}{165}\right)$	$e\left(\frac{41}{110}\right)$	$e\left(\frac{19}{165}\right)$	$e\left(\frac{82}{165}\right)$	$e\left(\frac{26}{33}\right)$	$e\left(\frac{134}{165}\right)$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{79}{330}\right)$	$e\left(\frac{37}{330}\right)$
$\chi_{190575}(62,\cdot)$	190575.bqa	220	no	$1$	$1$	$e\left(\frac{163}{220}\right)$	$e\left(\frac{53}{110}\right)$	$e\left(\frac{49}{220}\right)$	$e\left(\frac{41}{44}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{133}{220}\right)$	$e\left(\frac{27}{110}\right)$	$e\left(\frac{179}{220}\right)$	$e\left(\frac{37}{55}\right)$	$e\left(\frac{93}{110}\right)$
$\chi_{190575}(64,\cdot)$	190575.bkp	110	no	$1$	$1$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{7}{110}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{23}{55}\right)$	$e\left(\frac{63}{110}\right)$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{13}{110}\right)$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{29}{55}\right)$
$\chi_{190575}(67,\cdot)$	190575.clm	660	yes	$-1$	$1$	$e\left(\frac{149}{660}\right)$	$e\left(\frac{149}{330}\right)$	$e\left(\frac{149}{220}\right)$	$e\left(\frac{551}{660}\right)$	$e\left(\frac{149}{165}\right)$	$e\left(\frac{437}{660}\right)$	$e\left(\frac{161}{330}\right)$	$e\left(\frac{173}{220}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{29}{330}\right)$
$\chi_{190575}(68,\cdot)$	190575.chd	660	no	$1$	$1$	$e\left(\frac{157}{220}\right)$	$e\left(\frac{47}{110}\right)$	$e\left(\frac{31}{220}\right)$	$e\left(\frac{161}{660}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{529}{660}\right)$	$e\left(\frac{49}{330}\right)$	$e\left(\frac{71}{132}\right)$	$e\left(\frac{158}{165}\right)$	$e\left(\frac{71}{330}\right)$
$\chi_{190575}(71,\cdot)$	190575.bng	110	no	$-1$	$1$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{19}{22}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{19}{110}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{101}{110}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{5}{22}\right)$
$\chi_{190575}(73,\cdot)$	190575.cfp	660	no	$-1$	$1$	$e\left(\frac{29}{132}\right)$	$e\left(\frac{29}{66}\right)$	$e\left(\frac{29}{44}\right)$	$e\left(\frac{203}{220}\right)$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{527}{660}\right)$	$e\left(\frac{43}{66}\right)$	$e\left(\frac{613}{660}\right)$	$e\left(\frac{47}{330}\right)$	$e\left(\frac{9}{11}\right)$
$\chi_{190575}(74,\cdot)$	190575.btg	330	no	$1$	$1$	$e\left(\frac{43}{110}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{19}{110}\right)$	$e\left(\frac{52}{165}\right)$	$e\left(\frac{31}{55}\right)$	$e\left(\frac{271}{330}\right)$	$e\left(\frac{257}{330}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{233}{330}\right)$	$e\left(\frac{134}{165}\right)$

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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	$190575$
Structure	\(C_{2}\times C_{2}\times C_{30}\times C_{660}\)
Order	$79200$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(13\)	\(16\)	\(17\)	\(19\)	\(23\)	\(26\)	\(29\)
\(\chi_{190575}(1,\cdot)\)	190575.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{190575}(2,\cdot)\)	190575.cjv	660	yes	\(-1\)	\(1\)	\(e\left(\frac{589}{660}\right)\)	\(e\left(\frac{259}{330}\right)\)	\(e\left(\frac{149}{220}\right)\)	\(e\left(\frac{133}{660}\right)\)	\(e\left(\frac{94}{165}\right)\)	\(e\left(\frac{613}{660}\right)\)	\(e\left(\frac{53}{165}\right)\)	\(e\left(\frac{151}{220}\right)\)	\(e\left(\frac{31}{330}\right)\)	\(e\left(\frac{139}{330}\right)\)
\(\chi_{190575}(4,\cdot)\)	190575.cbc	330	yes	\(1\)	\(1\)	\(e\left(\frac{259}{330}\right)\)	\(e\left(\frac{94}{165}\right)\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{133}{330}\right)\)	\(e\left(\frac{23}{165}\right)\)	\(e\left(\frac{283}{330}\right)\)	\(e\left(\frac{106}{165}\right)\)	\(e\left(\frac{41}{110}\right)\)	\(e\left(\frac{31}{165}\right)\)	\(e\left(\frac{139}{165}\right)\)
\(\chi_{190575}(8,\cdot)\)	190575.bqk	220	no	\(-1\)	\(1\)	\(e\left(\frac{149}{220}\right)\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{7}{220}\right)\)	\(e\left(\frac{133}{220}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{173}{220}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{13}{220}\right)\)	\(e\left(\frac{31}{110}\right)\)	\(e\left(\frac{29}{110}\right)\)
\(\chi_{190575}(13,\cdot)\)	190575.chz	660	yes	\(-1\)	\(1\)	\(e\left(\frac{133}{660}\right)\)	\(e\left(\frac{133}{330}\right)\)	\(e\left(\frac{133}{220}\right)\)	\(e\left(\frac{629}{660}\right)\)	\(e\left(\frac{133}{165}\right)\)	\(e\left(\frac{37}{44}\right)\)	\(e\left(\frac{89}{110}\right)\)	\(e\left(\frac{257}{660}\right)\)	\(e\left(\frac{17}{110}\right)\)	\(e\left(\frac{139}{165}\right)\)
\(\chi_{190575}(16,\cdot)\)	190575.bou	165	yes	\(1\)	\(1\)	\(e\left(\frac{94}{165}\right)\)	\(e\left(\frac{23}{165}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{133}{165}\right)\)	\(e\left(\frac{46}{165}\right)\)	\(e\left(\frac{118}{165}\right)\)	\(e\left(\frac{47}{165}\right)\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{62}{165}\right)\)	\(e\left(\frac{113}{165}\right)\)
\(\chi_{190575}(17,\cdot)\)	190575.ckk	660	no	\(1\)	\(1\)	\(e\left(\frac{613}{660}\right)\)	\(e\left(\frac{283}{330}\right)\)	\(e\left(\frac{173}{220}\right)\)	\(e\left(\frac{37}{44}\right)\)	\(e\left(\frac{118}{165}\right)\)	\(e\left(\frac{623}{660}\right)\)	\(e\left(\frac{167}{330}\right)\)	\(e\left(\frac{109}{660}\right)\)	\(e\left(\frac{127}{165}\right)\)	\(e\left(\frac{41}{110}\right)\)
\(\chi_{190575}(19,\cdot)\)	190575.buy	330	no	\(1\)	\(1\)	\(e\left(\frac{53}{165}\right)\)	\(e\left(\frac{106}{165}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{89}{110}\right)\)	\(e\left(\frac{47}{165}\right)\)	\(e\left(\frac{167}{330}\right)\)	\(e\left(\frac{164}{165}\right)\)	\(e\left(\frac{127}{330}\right)\)	\(e\left(\frac{43}{330}\right)\)	\(e\left(\frac{69}{110}\right)\)
\(\chi_{190575}(23,\cdot)\)	190575.cgz	660	yes	\(1\)	\(1\)	\(e\left(\frac{151}{220}\right)\)	\(e\left(\frac{41}{110}\right)\)	\(e\left(\frac{13}{220}\right)\)	\(e\left(\frac{257}{660}\right)\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{109}{660}\right)\)	\(e\left(\frac{127}{330}\right)\)	\(e\left(\frac{283}{660}\right)\)	\(e\left(\frac{5}{66}\right)\)	\(e\left(\frac{124}{165}\right)\)
\(\chi_{190575}(26,\cdot)\)	190575.byv	330	no	\(1\)	\(1\)	\(e\left(\frac{31}{330}\right)\)	\(e\left(\frac{31}{165}\right)\)	\(e\left(\frac{31}{110}\right)\)	\(e\left(\frac{17}{110}\right)\)	\(e\left(\frac{62}{165}\right)\)	\(e\left(\frac{127}{165}\right)\)	\(e\left(\frac{43}{330}\right)\)	\(e\left(\frac{5}{66}\right)\)	\(e\left(\frac{41}{165}\right)\)	\(e\left(\frac{29}{110}\right)\)
\(\chi_{190575}(29,\cdot)\)	190575.bzk	330	no	\(1\)	\(1\)	\(e\left(\frac{139}{330}\right)\)	\(e\left(\frac{139}{165}\right)\)	\(e\left(\frac{29}{110}\right)\)	\(e\left(\frac{139}{165}\right)\)	\(e\left(\frac{113}{165}\right)\)	\(e\left(\frac{41}{110}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{124}{165}\right)\)	\(e\left(\frac{29}{110}\right)\)	\(e\left(\frac{164}{165}\right)\)
\(\chi_{190575}(31,\cdot)\)	190575.cer	330	yes	\(-1\)	\(1\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{23}{33}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{241}{330}\right)\)	\(e\left(\frac{13}{33}\right)\)	\(e\left(\frac{223}{330}\right)\)	\(e\left(\frac{61}{66}\right)\)	\(e\left(\frac{7}{55}\right)\)	\(e\left(\frac{191}{330}\right)\)	\(e\left(\frac{14}{33}\right)\)
\(\chi_{190575}(32,\cdot)\)	190575.bnx	132	no	\(-1\)	\(1\)	\(e\left(\frac{61}{132}\right)\)	\(e\left(\frac{61}{66}\right)\)	\(e\left(\frac{17}{44}\right)\)	\(e\left(\frac{1}{132}\right)\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{85}{132}\right)\)	\(e\left(\frac{20}{33}\right)\)	\(e\left(\frac{19}{44}\right)\)	\(e\left(\frac{31}{66}\right)\)	\(e\left(\frac{7}{66}\right)\)
\(\chi_{190575}(34,\cdot)\)	190575.cae	330	yes	\(-1\)	\(1\)	\(e\left(\frac{271}{330}\right)\)	\(e\left(\frac{106}{165}\right)\)	\(e\left(\frac{51}{110}\right)\)	\(e\left(\frac{7}{165}\right)\)	\(e\left(\frac{47}{165}\right)\)	\(e\left(\frac{48}{55}\right)\)	\(e\left(\frac{91}{110}\right)\)	\(e\left(\frac{281}{330}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{131}{165}\right)\)
\(\chi_{190575}(37,\cdot)\)	190575.ckf	660	no	\(-1\)	\(1\)	\(e\left(\frac{329}{660}\right)\)	\(e\left(\frac{329}{330}\right)\)	\(e\left(\frac{109}{220}\right)\)	\(e\left(\frac{5}{44}\right)\)	\(e\left(\frac{164}{165}\right)\)	\(e\left(\frac{589}{660}\right)\)	\(e\left(\frac{151}{330}\right)\)	\(e\left(\frac{227}{660}\right)\)	\(e\left(\frac{101}{165}\right)\)	\(e\left(\frac{43}{110}\right)\)
\(\chi_{190575}(38,\cdot)\)	190575.cgn	660	yes	\(-1\)	\(1\)	\(e\left(\frac{47}{220}\right)\)	\(e\left(\frac{47}{110}\right)\)	\(e\left(\frac{141}{220}\right)\)	\(e\left(\frac{7}{660}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{287}{660}\right)\)	\(e\left(\frac{52}{165}\right)\)	\(e\left(\frac{47}{660}\right)\)	\(e\left(\frac{37}{165}\right)\)	\(e\left(\frac{8}{165}\right)\)
\(\chi_{190575}(41,\cdot)\)	190575.ceh	330	yes	\(-1\)	\(1\)	\(e\left(\frac{8}{33}\right)\)	\(e\left(\frac{16}{33}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{14}{165}\right)\)	\(e\left(\frac{32}{33}\right)\)	\(e\left(\frac{93}{110}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{1}{330}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{26}{33}\right)\)
\(\chi_{190575}(43,\cdot)\)	190575.bnl	132	no	\(1\)	\(1\)	\(e\left(\frac{85}{132}\right)\)	\(e\left(\frac{19}{66}\right)\)	\(e\left(\frac{41}{44}\right)\)	\(e\left(\frac{71}{132}\right)\)	\(e\left(\frac{19}{33}\right)\)	\(e\left(\frac{39}{44}\right)\)	\(e\left(\frac{4}{11}\right)\)	\(e\left(\frac{65}{132}\right)\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{1}{33}\right)\)
\(\chi_{190575}(46,\cdot)\)	190575.cct	330	no	\(-1\)	\(1\)	\(e\left(\frac{191}{330}\right)\)	\(e\left(\frac{26}{165}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{52}{165}\right)\)	\(e\left(\frac{31}{330}\right)\)	\(e\left(\frac{233}{330}\right)\)	\(e\left(\frac{19}{165}\right)\)	\(e\left(\frac{28}{165}\right)\)	\(e\left(\frac{19}{110}\right)\)
\(\chi_{190575}(47,\cdot)\)	190575.civ	660	yes	\(-1\)	\(1\)	\(e\left(\frac{379}{660}\right)\)	\(e\left(\frac{49}{330}\right)\)	\(e\left(\frac{159}{220}\right)\)	\(e\left(\frac{637}{660}\right)\)	\(e\left(\frac{49}{165}\right)\)	\(e\left(\frac{5}{132}\right)\)	\(e\left(\frac{68}{165}\right)\)	\(e\left(\frac{47}{220}\right)\)	\(e\left(\frac{89}{165}\right)\)	\(e\left(\frac{2}{165}\right)\)
\(\chi_{190575}(52,\cdot)\)	190575.chk	660	yes	\(-1\)	\(1\)	\(e\left(\frac{217}{220}\right)\)	\(e\left(\frac{107}{110}\right)\)	\(e\left(\frac{211}{220}\right)\)	\(e\left(\frac{47}{132}\right)\)	\(e\left(\frac{52}{55}\right)\)	\(e\left(\frac{461}{660}\right)\)	\(e\left(\frac{149}{330}\right)\)	\(e\left(\frac{503}{660}\right)\)	\(e\left(\frac{113}{330}\right)\)	\(e\left(\frac{113}{165}\right)\)
\(\chi_{190575}(53,\cdot)\)	190575.cld	660	no	\(1\)	\(1\)	\(e\left(\frac{97}{660}\right)\)	\(e\left(\frac{97}{330}\right)\)	\(e\left(\frac{97}{220}\right)\)	\(e\left(\frac{43}{44}\right)\)	\(e\left(\frac{97}{165}\right)\)	\(e\left(\frac{617}{660}\right)\)	\(e\left(\frac{203}{330}\right)\)	\(e\left(\frac{91}{660}\right)\)	\(e\left(\frac{41}{330}\right)\)	\(e\left(\frac{32}{55}\right)\)
\(\chi_{190575}(58,\cdot)\)	190575.cha	660	yes	\(-1\)	\(1\)	\(e\left(\frac{69}{220}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{207}{220}\right)\)	\(e\left(\frac{29}{660}\right)\)	\(e\left(\frac{14}{55}\right)\)	\(e\left(\frac{199}{660}\right)\)	\(e\left(\frac{313}{330}\right)\)	\(e\left(\frac{289}{660}\right)\)	\(e\left(\frac{59}{165}\right)\)	\(e\left(\frac{137}{330}\right)\)
\(\chi_{190575}(59,\cdot)\)	190575.bxy	330	yes	\(1\)	\(1\)	\(e\left(\frac{26}{165}\right)\)	\(e\left(\frac{52}{165}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{104}{165}\right)\)	\(e\left(\frac{7}{330}\right)\)	\(e\left(\frac{191}{330}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{1}{165}\right)\)	\(e\left(\frac{59}{330}\right)\)
\(\chi_{190575}(61,\cdot)\)	190575.cai	330	yes	\(1\)	\(1\)	\(e\left(\frac{41}{330}\right)\)	\(e\left(\frac{41}{165}\right)\)	\(e\left(\frac{41}{110}\right)\)	\(e\left(\frac{19}{165}\right)\)	\(e\left(\frac{82}{165}\right)\)	\(e\left(\frac{26}{33}\right)\)	\(e\left(\frac{134}{165}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{79}{330}\right)\)	\(e\left(\frac{37}{330}\right)\)
\(\chi_{190575}(62,\cdot)\)	190575.bqa	220	no	\(1\)	\(1\)	\(e\left(\frac{163}{220}\right)\)	\(e\left(\frac{53}{110}\right)\)	\(e\left(\frac{49}{220}\right)\)	\(e\left(\frac{41}{44}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{133}{220}\right)\)	\(e\left(\frac{27}{110}\right)\)	\(e\left(\frac{179}{220}\right)\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{93}{110}\right)\)
\(\chi_{190575}(64,\cdot)\)	190575.bkp	110	no	\(1\)	\(1\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{7}{110}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{23}{55}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{13}{110}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{29}{55}\right)\)
\(\chi_{190575}(67,\cdot)\)	190575.clm	660	yes	\(-1\)	\(1\)	\(e\left(\frac{149}{660}\right)\)	\(e\left(\frac{149}{330}\right)\)	\(e\left(\frac{149}{220}\right)\)	\(e\left(\frac{551}{660}\right)\)	\(e\left(\frac{149}{165}\right)\)	\(e\left(\frac{437}{660}\right)\)	\(e\left(\frac{161}{330}\right)\)	\(e\left(\frac{173}{220}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{29}{330}\right)\)
\(\chi_{190575}(68,\cdot)\)	190575.chd	660	no	\(1\)	\(1\)	\(e\left(\frac{157}{220}\right)\)	\(e\left(\frac{47}{110}\right)\)	\(e\left(\frac{31}{220}\right)\)	\(e\left(\frac{161}{660}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{529}{660}\right)\)	\(e\left(\frac{49}{330}\right)\)	\(e\left(\frac{71}{132}\right)\)	\(e\left(\frac{158}{165}\right)\)	\(e\left(\frac{71}{330}\right)\)
\(\chi_{190575}(71,\cdot)\)	190575.bng	110	no	\(-1\)	\(1\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{19}{110}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{5}{22}\right)\)
\(\chi_{190575}(73,\cdot)\)	190575.cfp	660	no	\(-1\)	\(1\)	\(e\left(\frac{29}{132}\right)\)	\(e\left(\frac{29}{66}\right)\)	\(e\left(\frac{29}{44}\right)\)	\(e\left(\frac{203}{220}\right)\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{527}{660}\right)\)	\(e\left(\frac{43}{66}\right)\)	\(e\left(\frac{613}{660}\right)\)	\(e\left(\frac{47}{330}\right)\)	\(e\left(\frac{9}{11}\right)\)
\(\chi_{190575}(74,\cdot)\)	190575.btg	330	no	\(1\)	\(1\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{19}{110}\right)\)	\(e\left(\frac{52}{165}\right)\)	\(e\left(\frac{31}{55}\right)\)	\(e\left(\frac{271}{330}\right)\)	\(e\left(\frac{257}{330}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{233}{330}\right)\)	\(e\left(\frac{134}{165}\right)\)

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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.