LMFDB - Group of Dirichlet characters of modulus 14157

sage:H = DirichletGroup(14157)

pari:g = idealstar(,14157,2)

Character group

sage:G.order() pari:g.no
Order	=	7920
sage:H.invariants() pari:g.cyc
Structure	=	$C_{2}\times C_{6}\times C_{660}$
sage:H.gens() pari:g.gen
Generators	=	$\chi_{14157}(6293,\cdot)$, $\chi_{14157}(3511,\cdot)$, $\chi_{14157}(4357,\cdot)$

First 32 of 7920 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	$-1$	$1$	$2$	$4$	$5$	$7$	$8$	$10$	$14$	$16$	$17$	$19$
$\chi_{14157}(1,\cdot)$	14157.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{14157}(2,\cdot)$	14157.it	660	yes	$-1$	$1$	$e\left(\frac{57}{220}\right)$	$e\left(\frac{57}{110}\right)$	$e\left(\frac{169}{660}\right)$	$e\left(\frac{427}{660}\right)$	$e\left(\frac{171}{220}\right)$	$e\left(\frac{17}{33}\right)$	$e\left(\frac{299}{330}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{37}{330}\right)$	$e\left(\frac{113}{660}\right)$
$\chi_{14157}(4,\cdot)$	14157.hr	330	yes	$1$	$1$	$e\left(\frac{57}{110}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{169}{330}\right)$	$e\left(\frac{97}{330}\right)$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{134}{165}\right)$	$e\left(\frac{4}{55}\right)$	$e\left(\frac{37}{165}\right)$	$e\left(\frac{113}{330}\right)$
$\chi_{14157}(5,\cdot)$	14157.jf	660	yes	$1$	$1$	$e\left(\frac{169}{660}\right)$	$e\left(\frac{169}{330}\right)$	$e\left(\frac{461}{660}\right)$	$e\left(\frac{193}{660}\right)$	$e\left(\frac{169}{220}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{181}{330}\right)$	$e\left(\frac{4}{165}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{129}{220}\right)$
$\chi_{14157}(7,\cdot)$	14157.jb	660	yes	$1$	$1$	$e\left(\frac{427}{660}\right)$	$e\left(\frac{97}{330}\right)$	$e\left(\frac{193}{660}\right)$	$e\left(\frac{43}{220}\right)$	$e\left(\frac{207}{220}\right)$	$e\left(\frac{31}{33}\right)$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{97}{165}\right)$	$e\left(\frac{157}{165}\right)$	$e\left(\frac{571}{660}\right)$
$\chi_{14157}(8,\cdot)$	14157.hk	220	no	$-1$	$1$	$e\left(\frac{171}{220}\right)$	$e\left(\frac{61}{110}\right)$	$e\left(\frac{169}{220}\right)$	$e\left(\frac{207}{220}\right)$	$e\left(\frac{73}{220}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{79}{110}\right)$	$e\left(\frac{6}{55}\right)$	$e\left(\frac{37}{110}\right)$	$e\left(\frac{113}{220}\right)$
$\chi_{14157}(10,\cdot)$	14157.ge	66	no	$-1$	$1$	$e\left(\frac{17}{33}\right)$	$e\left(\frac{1}{33}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{31}{33}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{31}{66}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{5}{66}\right)$	$e\left(\frac{25}{33}\right)$
$\chi_{14157}(14,\cdot)$	14157.ii	330	no	$-1$	$1$	$e\left(\frac{299}{330}\right)$	$e\left(\frac{134}{165}\right)$	$e\left(\frac{181}{330}\right)$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{79}{110}\right)$	$e\left(\frac{5}{11}\right)$	$e\left(\frac{247}{330}\right)$	$e\left(\frac{103}{165}\right)$	$e\left(\frac{7}{110}\right)$	$e\left(\frac{2}{55}\right)$
$\chi_{14157}(16,\cdot)$	14157.hj	165	yes	$1$	$1$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{4}{55}\right)$	$e\left(\frac{4}{165}\right)$	$e\left(\frac{97}{165}\right)$	$e\left(\frac{6}{55}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{103}{165}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{74}{165}\right)$	$e\left(\frac{113}{165}\right)$
$\chi_{14157}(17,\cdot)$	14157.il	330	no	$1$	$1$	$e\left(\frac{37}{330}\right)$	$e\left(\frac{37}{165}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{157}{165}\right)$	$e\left(\frac{37}{110}\right)$	$e\left(\frac{5}{66}\right)$	$e\left(\frac{7}{110}\right)$	$e\left(\frac{74}{165}\right)$	$e\left(\frac{109}{165}\right)$	$e\left(\frac{133}{165}\right)$
$\chi_{14157}(19,\cdot)$	14157.jd	660	no	$1$	$1$	$e\left(\frac{113}{660}\right)$	$e\left(\frac{113}{330}\right)$	$e\left(\frac{129}{220}\right)$	$e\left(\frac{571}{660}\right)$	$e\left(\frac{113}{220}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{113}{165}\right)$	$e\left(\frac{133}{165}\right)$	$e\left(\frac{469}{660}\right)$
$\chi_{14157}(20,\cdot)$	14157.iy	660	yes	$1$	$1$	$e\left(\frac{511}{660}\right)$	$e\left(\frac{181}{330}\right)$	$e\left(\frac{139}{660}\right)$	$e\left(\frac{129}{220}\right)$	$e\left(\frac{71}{220}\right)$	$e\left(\frac{65}{66}\right)$	$e\left(\frac{119}{330}\right)$	$e\left(\frac{16}{165}\right)$	$e\left(\frac{31}{165}\right)$	$e\left(\frac{613}{660}\right)$
$\chi_{14157}(23,\cdot)$	14157.gc	66	yes	$-1$	$1$	$e\left(\frac{10}{33}\right)$	$e\left(\frac{20}{33}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{17}{66}\right)$	$e\left(\frac{7}{33}\right)$	$e\left(\frac{23}{66}\right)$	$e\left(\frac{65}{66}\right)$
$\chi_{14157}(25,\cdot)$	14157.ij	330	yes	$1$	$1$	$e\left(\frac{169}{330}\right)$	$e\left(\frac{4}{165}\right)$	$e\left(\frac{131}{330}\right)$	$e\left(\frac{193}{330}\right)$	$e\left(\frac{59}{110}\right)$	$e\left(\frac{10}{11}\right)$	$e\left(\frac{16}{165}\right)$	$e\left(\frac{8}{165}\right)$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{19}{110}\right)$
$\chi_{14157}(28,\cdot)$	14157.jd	660	no	$1$	$1$	$e\left(\frac{109}{660}\right)$	$e\left(\frac{109}{330}\right)$	$e\left(\frac{177}{220}\right)$	$e\left(\frac{323}{660}\right)$	$e\left(\frac{109}{220}\right)$	$e\left(\frac{32}{33}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{109}{165}\right)$	$e\left(\frac{29}{165}\right)$	$e\left(\frac{137}{660}\right)$
$\chi_{14157}(29,\cdot)$	14157.ip	330	yes	$1$	$1$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{17}{55}\right)$	$e\left(\frac{89}{330}\right)$	$e\left(\frac{137}{330}\right)$	$e\left(\frac{53}{55}\right)$	$e\left(\frac{61}{66}\right)$	$e\left(\frac{23}{330}\right)$	$e\left(\frac{34}{55}\right)$	$e\left(\frac{122}{165}\right)$	$e\left(\frac{163}{330}\right)$
$\chi_{14157}(31,\cdot)$	14157.je	660	yes	$-1$	$1$	$e\left(\frac{571}{660}\right)$	$e\left(\frac{241}{330}\right)$	$e\left(\frac{179}{660}\right)$	$e\left(\frac{37}{660}\right)$	$e\left(\frac{131}{220}\right)$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{152}{165}\right)$	$e\left(\frac{76}{165}\right)$	$e\left(\frac{89}{110}\right)$	$e\left(\frac{141}{220}\right)$
$\chi_{14157}(32,\cdot)$	14157.he	132	yes	$-1$	$1$	$e\left(\frac{13}{44}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{37}{132}\right)$	$e\left(\frac{31}{132}\right)$	$e\left(\frac{39}{44}\right)$	$e\left(\frac{19}{33}\right)$	$e\left(\frac{35}{66}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{37}{66}\right)$	$e\left(\frac{113}{132}\right)$
$\chi_{14157}(34,\cdot)$	14157.hb	132	yes	$-1$	$1$	$e\left(\frac{49}{132}\right)$	$e\left(\frac{49}{66}\right)$	$e\left(\frac{29}{132}\right)$	$e\left(\frac{79}{132}\right)$	$e\left(\frac{5}{44}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{32}{33}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{43}{44}\right)$
$\chi_{14157}(35,\cdot)$	14157.ht	330	no	$1$	$1$	$e\left(\frac{149}{165}\right)$	$e\left(\frac{133}{165}\right)$	$e\left(\frac{109}{110}\right)$	$e\left(\frac{161}{330}\right)$	$e\left(\frac{39}{55}\right)$	$e\left(\frac{59}{66}\right)$	$e\left(\frac{43}{110}\right)$	$e\left(\frac{101}{165}\right)$	$e\left(\frac{151}{165}\right)$	$e\left(\frac{149}{330}\right)$
$\chi_{14157}(37,\cdot)$	14157.iz	660	no	$-1$	$1$	$e\left(\frac{637}{660}\right)$	$e\left(\frac{307}{330}\right)$	$e\left(\frac{111}{220}\right)$	$e\left(\frac{59}{660}\right)$	$e\left(\frac{197}{220}\right)$	$e\left(\frac{31}{66}\right)$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{142}{165}\right)$	$e\left(\frac{289}{330}\right)$	$e\left(\frac{401}{660}\right)$
$\chi_{14157}(38,\cdot)$	14157.hv	330	yes	$-1$	$1$	$e\left(\frac{71}{165}\right)$	$e\left(\frac{142}{165}\right)$	$e\left(\frac{139}{165}\right)$	$e\left(\frac{169}{330}\right)$	$e\left(\frac{16}{55}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{311}{330}\right)$	$e\left(\frac{119}{165}\right)$	$e\left(\frac{101}{110}\right)$	$e\left(\frac{97}{110}\right)$
$\chi_{14157}(40,\cdot)$	14157.dq	30	no	$-1$	$1$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{1}{10}\right)$	$-1$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{1}{10}\right)$
$\chi_{14157}(41,\cdot)$	14157.jc	660	yes	$-1$	$1$	$e\left(\frac{83}{660}\right)$	$e\left(\frac{83}{330}\right)$	$e\left(\frac{257}{660}\right)$	$e\left(\frac{157}{220}\right)$	$e\left(\frac{83}{220}\right)$	$e\left(\frac{17}{33}\right)$	$e\left(\frac{277}{330}\right)$	$e\left(\frac{83}{165}\right)$	$e\left(\frac{301}{330}\right)$	$e\left(\frac{509}{660}\right)$
$\chi_{14157}(43,\cdot)$	14157.fx	66	yes	$-1$	$1$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{4}{33}\right)$	$e\left(\frac{43}{66}\right)$	$e\left(\frac{1}{11}\right)$	$e\left(\frac{2}{11}\right)$	$e\left(\frac{47}{66}\right)$	$e\left(\frac{5}{33}\right)$	$e\left(\frac{8}{33}\right)$	$e\left(\frac{31}{66}\right)$	$e\left(\frac{23}{33}\right)$
$\chi_{14157}(46,\cdot)$	14157.jd	660	no	$1$	$1$	$e\left(\frac{371}{660}\right)$	$e\left(\frac{41}{330}\right)$	$e\left(\frac{3}{220}\right)$	$e\left(\frac{397}{660}\right)$	$e\left(\frac{151}{220}\right)$	$e\left(\frac{19}{33}\right)$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{41}{165}\right)$	$e\left(\frac{76}{165}\right)$	$e\left(\frac{103}{660}\right)$
$\chi_{14157}(47,\cdot)$	14157.jf	660	yes	$1$	$1$	$e\left(\frac{203}{660}\right)$	$e\left(\frac{203}{330}\right)$	$e\left(\frac{7}{660}\right)$	$e\left(\frac{431}{660}\right)$	$e\left(\frac{203}{220}\right)$	$e\left(\frac{7}{22}\right)$	$e\left(\frac{317}{330}\right)$	$e\left(\frac{38}{165}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{43}{220}\right)$
$\chi_{14157}(49,\cdot)$	14157.ih	330	yes	$1$	$1$	$e\left(\frac{97}{330}\right)$	$e\left(\frac{97}{165}\right)$	$e\left(\frac{193}{330}\right)$	$e\left(\frac{43}{110}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{29}{33}\right)$	$e\left(\frac{113}{165}\right)$	$e\left(\frac{29}{165}\right)$	$e\left(\frac{149}{165}\right)$	$e\left(\frac{241}{330}\right)$
$\chi_{14157}(50,\cdot)$	14157.jc	660	yes	$-1$	$1$	$e\left(\frac{509}{660}\right)$	$e\left(\frac{179}{330}\right)$	$e\left(\frac{431}{660}\right)$	$e\left(\frac{51}{220}\right)$	$e\left(\frac{69}{220}\right)$	$e\left(\frac{14}{33}\right)$	$e\left(\frac{1}{330}\right)$	$e\left(\frac{14}{165}\right)$	$e\left(\frac{13}{330}\right)$	$e\left(\frac{227}{660}\right)$
$\chi_{14157}(53,\cdot)$	14157.gk	110	no	$-1$	$1$	$e\left(\frac{51}{110}\right)$	$e\left(\frac{51}{55}\right)$	$e\left(\frac{89}{110}\right)$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{43}{110}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{23}{110}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{79}{110}\right)$	$e\left(\frac{54}{55}\right)$
$\chi_{14157}(56,\cdot)$	14157.gc	66	yes	$-1$	$1$	$e\left(\frac{14}{33}\right)$	$e\left(\frac{28}{33}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{3}{22}\right)$	$e\left(\frac{3}{11}\right)$	$e\left(\frac{16}{33}\right)$	$e\left(\frac{37}{66}\right)$	$e\left(\frac{23}{33}\right)$	$e\left(\frac{19}{66}\right)$	$e\left(\frac{25}{66}\right)$
$\chi_{14157}(58,\cdot)$	14157.iq	660	yes	$-1$	$1$	$e\left(\frac{201}{220}\right)$	$e\left(\frac{91}{110}\right)$	$e\left(\frac{347}{660}\right)$	$e\left(\frac{41}{660}\right)$	$e\left(\frac{163}{220}\right)$	$e\left(\frac{29}{66}\right)$	$e\left(\frac{161}{165}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{281}{330}\right)$	$e\left(\frac{439}{660}\right)$

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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 $\F_{q}$
Belyi maps

Modulus	$14157$
Structure	\(C_{2}\times C_{6}\times C_{660}\)
Order	$7920$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(14\)	\(16\)	\(17\)	\(19\)
\(\chi_{14157}(1,\cdot)\)	14157.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{14157}(2,\cdot)\)	14157.it	660	yes	\(-1\)	\(1\)	\(e\left(\frac{57}{220}\right)\)	\(e\left(\frac{57}{110}\right)\)	\(e\left(\frac{169}{660}\right)\)	\(e\left(\frac{427}{660}\right)\)	\(e\left(\frac{171}{220}\right)\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{299}{330}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{37}{330}\right)\)	\(e\left(\frac{113}{660}\right)\)
\(\chi_{14157}(4,\cdot)\)	14157.hr	330	yes	\(1\)	\(1\)	\(e\left(\frac{57}{110}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{169}{330}\right)\)	\(e\left(\frac{97}{330}\right)\)	\(e\left(\frac{61}{110}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{134}{165}\right)\)	\(e\left(\frac{4}{55}\right)\)	\(e\left(\frac{37}{165}\right)\)	\(e\left(\frac{113}{330}\right)\)
\(\chi_{14157}(5,\cdot)\)	14157.jf	660	yes	\(1\)	\(1\)	\(e\left(\frac{169}{660}\right)\)	\(e\left(\frac{169}{330}\right)\)	\(e\left(\frac{461}{660}\right)\)	\(e\left(\frac{193}{660}\right)\)	\(e\left(\frac{169}{220}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{181}{330}\right)\)	\(e\left(\frac{4}{165}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{129}{220}\right)\)
\(\chi_{14157}(7,\cdot)\)	14157.jb	660	yes	\(1\)	\(1\)	\(e\left(\frac{427}{660}\right)\)	\(e\left(\frac{97}{330}\right)\)	\(e\left(\frac{193}{660}\right)\)	\(e\left(\frac{43}{220}\right)\)	\(e\left(\frac{207}{220}\right)\)	\(e\left(\frac{31}{33}\right)\)	\(e\left(\frac{139}{165}\right)\)	\(e\left(\frac{97}{165}\right)\)	\(e\left(\frac{157}{165}\right)\)	\(e\left(\frac{571}{660}\right)\)
\(\chi_{14157}(8,\cdot)\)	14157.hk	220	no	\(-1\)	\(1\)	\(e\left(\frac{171}{220}\right)\)	\(e\left(\frac{61}{110}\right)\)	\(e\left(\frac{169}{220}\right)\)	\(e\left(\frac{207}{220}\right)\)	\(e\left(\frac{73}{220}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{79}{110}\right)\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{37}{110}\right)\)	\(e\left(\frac{113}{220}\right)\)
\(\chi_{14157}(10,\cdot)\)	14157.ge	66	no	\(-1\)	\(1\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{31}{33}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{31}{66}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{5}{66}\right)\)	\(e\left(\frac{25}{33}\right)\)
\(\chi_{14157}(14,\cdot)\)	14157.ii	330	no	\(-1\)	\(1\)	\(e\left(\frac{299}{330}\right)\)	\(e\left(\frac{134}{165}\right)\)	\(e\left(\frac{181}{330}\right)\)	\(e\left(\frac{139}{165}\right)\)	\(e\left(\frac{79}{110}\right)\)	\(e\left(\frac{5}{11}\right)\)	\(e\left(\frac{247}{330}\right)\)	\(e\left(\frac{103}{165}\right)\)	\(e\left(\frac{7}{110}\right)\)	\(e\left(\frac{2}{55}\right)\)
\(\chi_{14157}(16,\cdot)\)	14157.hj	165	yes	\(1\)	\(1\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{4}{55}\right)\)	\(e\left(\frac{4}{165}\right)\)	\(e\left(\frac{97}{165}\right)\)	\(e\left(\frac{6}{55}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{103}{165}\right)\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{74}{165}\right)\)	\(e\left(\frac{113}{165}\right)\)
\(\chi_{14157}(17,\cdot)\)	14157.il	330	no	\(1\)	\(1\)	\(e\left(\frac{37}{330}\right)\)	\(e\left(\frac{37}{165}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{157}{165}\right)\)	\(e\left(\frac{37}{110}\right)\)	\(e\left(\frac{5}{66}\right)\)	\(e\left(\frac{7}{110}\right)\)	\(e\left(\frac{74}{165}\right)\)	\(e\left(\frac{109}{165}\right)\)	\(e\left(\frac{133}{165}\right)\)
\(\chi_{14157}(19,\cdot)\)	14157.jd	660	no	\(1\)	\(1\)	\(e\left(\frac{113}{660}\right)\)	\(e\left(\frac{113}{330}\right)\)	\(e\left(\frac{129}{220}\right)\)	\(e\left(\frac{571}{660}\right)\)	\(e\left(\frac{113}{220}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{113}{165}\right)\)	\(e\left(\frac{133}{165}\right)\)	\(e\left(\frac{469}{660}\right)\)
\(\chi_{14157}(20,\cdot)\)	14157.iy	660	yes	\(1\)	\(1\)	\(e\left(\frac{511}{660}\right)\)	\(e\left(\frac{181}{330}\right)\)	\(e\left(\frac{139}{660}\right)\)	\(e\left(\frac{129}{220}\right)\)	\(e\left(\frac{71}{220}\right)\)	\(e\left(\frac{65}{66}\right)\)	\(e\left(\frac{119}{330}\right)\)	\(e\left(\frac{16}{165}\right)\)	\(e\left(\frac{31}{165}\right)\)	\(e\left(\frac{613}{660}\right)\)
\(\chi_{14157}(23,\cdot)\)	14157.gc	66	yes	\(-1\)	\(1\)	\(e\left(\frac{10}{33}\right)\)	\(e\left(\frac{20}{33}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{21}{22}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{17}{66}\right)\)	\(e\left(\frac{7}{33}\right)\)	\(e\left(\frac{23}{66}\right)\)	\(e\left(\frac{65}{66}\right)\)
\(\chi_{14157}(25,\cdot)\)	14157.ij	330	yes	\(1\)	\(1\)	\(e\left(\frac{169}{330}\right)\)	\(e\left(\frac{4}{165}\right)\)	\(e\left(\frac{131}{330}\right)\)	\(e\left(\frac{193}{330}\right)\)	\(e\left(\frac{59}{110}\right)\)	\(e\left(\frac{10}{11}\right)\)	\(e\left(\frac{16}{165}\right)\)	\(e\left(\frac{8}{165}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{19}{110}\right)\)
\(\chi_{14157}(28,\cdot)\)	14157.jd	660	no	\(1\)	\(1\)	\(e\left(\frac{109}{660}\right)\)	\(e\left(\frac{109}{330}\right)\)	\(e\left(\frac{177}{220}\right)\)	\(e\left(\frac{323}{660}\right)\)	\(e\left(\frac{109}{220}\right)\)	\(e\left(\frac{32}{33}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{109}{165}\right)\)	\(e\left(\frac{29}{165}\right)\)	\(e\left(\frac{137}{660}\right)\)
\(\chi_{14157}(29,\cdot)\)	14157.ip	330	yes	\(1\)	\(1\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{17}{55}\right)\)	\(e\left(\frac{89}{330}\right)\)	\(e\left(\frac{137}{330}\right)\)	\(e\left(\frac{53}{55}\right)\)	\(e\left(\frac{61}{66}\right)\)	\(e\left(\frac{23}{330}\right)\)	\(e\left(\frac{34}{55}\right)\)	\(e\left(\frac{122}{165}\right)\)	\(e\left(\frac{163}{330}\right)\)
\(\chi_{14157}(31,\cdot)\)	14157.je	660	yes	\(-1\)	\(1\)	\(e\left(\frac{571}{660}\right)\)	\(e\left(\frac{241}{330}\right)\)	\(e\left(\frac{179}{660}\right)\)	\(e\left(\frac{37}{660}\right)\)	\(e\left(\frac{131}{220}\right)\)	\(e\left(\frac{3}{22}\right)\)	\(e\left(\frac{152}{165}\right)\)	\(e\left(\frac{76}{165}\right)\)	\(e\left(\frac{89}{110}\right)\)	\(e\left(\frac{141}{220}\right)\)
\(\chi_{14157}(32,\cdot)\)	14157.he	132	yes	\(-1\)	\(1\)	\(e\left(\frac{13}{44}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{37}{132}\right)\)	\(e\left(\frac{31}{132}\right)\)	\(e\left(\frac{39}{44}\right)\)	\(e\left(\frac{19}{33}\right)\)	\(e\left(\frac{35}{66}\right)\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{37}{66}\right)\)	\(e\left(\frac{113}{132}\right)\)
\(\chi_{14157}(34,\cdot)\)	14157.hb	132	yes	\(-1\)	\(1\)	\(e\left(\frac{49}{132}\right)\)	\(e\left(\frac{49}{66}\right)\)	\(e\left(\frac{29}{132}\right)\)	\(e\left(\frac{79}{132}\right)\)	\(e\left(\frac{5}{44}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{32}{33}\right)\)	\(e\left(\frac{16}{33}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{43}{44}\right)\)
\(\chi_{14157}(35,\cdot)\)	14157.ht	330	no	\(1\)	\(1\)	\(e\left(\frac{149}{165}\right)\)	\(e\left(\frac{133}{165}\right)\)	\(e\left(\frac{109}{110}\right)\)	\(e\left(\frac{161}{330}\right)\)	\(e\left(\frac{39}{55}\right)\)	\(e\left(\frac{59}{66}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{101}{165}\right)\)	\(e\left(\frac{151}{165}\right)\)	\(e\left(\frac{149}{330}\right)\)
\(\chi_{14157}(37,\cdot)\)	14157.iz	660	no	\(-1\)	\(1\)	\(e\left(\frac{637}{660}\right)\)	\(e\left(\frac{307}{330}\right)\)	\(e\left(\frac{111}{220}\right)\)	\(e\left(\frac{59}{660}\right)\)	\(e\left(\frac{197}{220}\right)\)	\(e\left(\frac{31}{66}\right)\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{142}{165}\right)\)	\(e\left(\frac{289}{330}\right)\)	\(e\left(\frac{401}{660}\right)\)
\(\chi_{14157}(38,\cdot)\)	14157.hv	330	yes	\(-1\)	\(1\)	\(e\left(\frac{71}{165}\right)\)	\(e\left(\frac{142}{165}\right)\)	\(e\left(\frac{139}{165}\right)\)	\(e\left(\frac{169}{330}\right)\)	\(e\left(\frac{16}{55}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{311}{330}\right)\)	\(e\left(\frac{119}{165}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{97}{110}\right)\)
\(\chi_{14157}(40,\cdot)\)	14157.dq	30	no	\(-1\)	\(1\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(-1\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{1}{10}\right)\)
\(\chi_{14157}(41,\cdot)\)	14157.jc	660	yes	\(-1\)	\(1\)	\(e\left(\frac{83}{660}\right)\)	\(e\left(\frac{83}{330}\right)\)	\(e\left(\frac{257}{660}\right)\)	\(e\left(\frac{157}{220}\right)\)	\(e\left(\frac{83}{220}\right)\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{277}{330}\right)\)	\(e\left(\frac{83}{165}\right)\)	\(e\left(\frac{301}{330}\right)\)	\(e\left(\frac{509}{660}\right)\)
\(\chi_{14157}(43,\cdot)\)	14157.fx	66	yes	\(-1\)	\(1\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{4}{33}\right)\)	\(e\left(\frac{43}{66}\right)\)	\(e\left(\frac{1}{11}\right)\)	\(e\left(\frac{2}{11}\right)\)	\(e\left(\frac{47}{66}\right)\)	\(e\left(\frac{5}{33}\right)\)	\(e\left(\frac{8}{33}\right)\)	\(e\left(\frac{31}{66}\right)\)	\(e\left(\frac{23}{33}\right)\)
\(\chi_{14157}(46,\cdot)\)	14157.jd	660	no	\(1\)	\(1\)	\(e\left(\frac{371}{660}\right)\)	\(e\left(\frac{41}{330}\right)\)	\(e\left(\frac{3}{220}\right)\)	\(e\left(\frac{397}{660}\right)\)	\(e\left(\frac{151}{220}\right)\)	\(e\left(\frac{19}{33}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{41}{165}\right)\)	\(e\left(\frac{76}{165}\right)\)	\(e\left(\frac{103}{660}\right)\)
\(\chi_{14157}(47,\cdot)\)	14157.jf	660	yes	\(1\)	\(1\)	\(e\left(\frac{203}{660}\right)\)	\(e\left(\frac{203}{330}\right)\)	\(e\left(\frac{7}{660}\right)\)	\(e\left(\frac{431}{660}\right)\)	\(e\left(\frac{203}{220}\right)\)	\(e\left(\frac{7}{22}\right)\)	\(e\left(\frac{317}{330}\right)\)	\(e\left(\frac{38}{165}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{43}{220}\right)\)
\(\chi_{14157}(49,\cdot)\)	14157.ih	330	yes	\(1\)	\(1\)	\(e\left(\frac{97}{330}\right)\)	\(e\left(\frac{97}{165}\right)\)	\(e\left(\frac{193}{330}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{29}{33}\right)\)	\(e\left(\frac{113}{165}\right)\)	\(e\left(\frac{29}{165}\right)\)	\(e\left(\frac{149}{165}\right)\)	\(e\left(\frac{241}{330}\right)\)
\(\chi_{14157}(50,\cdot)\)	14157.jc	660	yes	\(-1\)	\(1\)	\(e\left(\frac{509}{660}\right)\)	\(e\left(\frac{179}{330}\right)\)	\(e\left(\frac{431}{660}\right)\)	\(e\left(\frac{51}{220}\right)\)	\(e\left(\frac{69}{220}\right)\)	\(e\left(\frac{14}{33}\right)\)	\(e\left(\frac{1}{330}\right)\)	\(e\left(\frac{14}{165}\right)\)	\(e\left(\frac{13}{330}\right)\)	\(e\left(\frac{227}{660}\right)\)
\(\chi_{14157}(53,\cdot)\)	14157.gk	110	no	\(-1\)	\(1\)	\(e\left(\frac{51}{110}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{89}{110}\right)\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{23}{110}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{79}{110}\right)\)	\(e\left(\frac{54}{55}\right)\)
\(\chi_{14157}(56,\cdot)\)	14157.gc	66	yes	\(-1\)	\(1\)	\(e\left(\frac{14}{33}\right)\)	\(e\left(\frac{28}{33}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{3}{22}\right)\)	\(e\left(\frac{3}{11}\right)\)	\(e\left(\frac{16}{33}\right)\)	\(e\left(\frac{37}{66}\right)\)	\(e\left(\frac{23}{33}\right)\)	\(e\left(\frac{19}{66}\right)\)	\(e\left(\frac{25}{66}\right)\)
\(\chi_{14157}(58,\cdot)\)	14157.iq	660	yes	\(-1\)	\(1\)	\(e\left(\frac{201}{220}\right)\)	\(e\left(\frac{91}{110}\right)\)	\(e\left(\frac{347}{660}\right)\)	\(e\left(\frac{41}{660}\right)\)	\(e\left(\frac{163}{220}\right)\)	\(e\left(\frac{29}{66}\right)\)	\(e\left(\frac{161}{165}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{281}{330}\right)\)	\(e\left(\frac{439}{660}\right)\)

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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.