LMFDB - Group of Dirichlet characters of modulus 5025

Show commands: PariGP / SageMath

sage: H = DirichletGroup(5025)

pari: g = idealstar(,5025,2)

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	=	$\chi_{5025}(1676,\cdot)$, $\chi_{5025}(202,\cdot)$, $\chi_{5025}(3151,\cdot)$

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	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{5025}(1,\cdot)$	5025.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{5025}(2,\cdot)$	5025.dp	660	yes	$-1$	$1$	$e\left(\frac{373}{660}\right)$	$e\left(\frac{43}{330}\right)$	$e\left(\frac{79}{132}\right)$	$e\left(\frac{153}{220}\right)$	$e\left(\frac{32}{165}\right)$	$e\left(\frac{157}{660}\right)$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{43}{165}\right)$	$e\left(\frac{79}{660}\right)$	$e\left(\frac{17}{330}\right)$
$\chi_{5025}(4,\cdot)$	5025.dk	330	no	$1$	$1$	$e\left(\frac{43}{330}\right)$	$e\left(\frac{43}{165}\right)$	$e\left(\frac{13}{66}\right)$	$e\left(\frac{43}{110}\right)$	$e\left(\frac{64}{165}\right)$	$e\left(\frac{157}{330}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{86}{165}\right)$	$e\left(\frac{79}{330}\right)$	$e\left(\frac{17}{165}\right)$
$\chi_{5025}(7,\cdot)$	5025.cz	132	no	$1$	$1$	$e\left(\frac{79}{132}\right)$	$e\left(\frac{13}{66}\right)$	$e\left(\frac{35}{132}\right)$	$e\left(\frac{35}{44}\right)$	$e\left(\frac{37}{66}\right)$	$e\left(\frac{49}{132}\right)$	$e\left(\frac{19}{22}\right)$	$e\left(\frac{13}{33}\right)$	$e\left(\frac{73}{132}\right)$	$e\left(\frac{65}{66}\right)$
$\chi_{5025}(8,\cdot)$	5025.dg	220	yes	$-1$	$1$	$e\left(\frac{153}{220}\right)$	$e\left(\frac{43}{110}\right)$	$e\left(\frac{35}{44}\right)$	$e\left(\frac{19}{220}\right)$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{157}{220}\right)$	$e\left(\frac{27}{55}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{79}{220}\right)$	$e\left(\frac{17}{110}\right)$
$\chi_{5025}(11,\cdot)$	5025.dh	330	yes	$1$	$1$	$e\left(\frac{32}{165}\right)$	$e\left(\frac{64}{165}\right)$	$e\left(\frac{37}{66}\right)$	$e\left(\frac{32}{55}\right)$	$e\left(\frac{7}{165}\right)$	$e\left(\frac{61}{330}\right)$	$e\left(\frac{83}{110}\right)$	$e\left(\frac{128}{165}\right)$	$e\left(\frac{37}{330}\right)$	$e\left(\frac{56}{165}\right)$
$\chi_{5025}(13,\cdot)$	5025.dq	660	no	$1$	$1$	$e\left(\frac{157}{660}\right)$	$e\left(\frac{157}{330}\right)$	$e\left(\frac{49}{132}\right)$	$e\left(\frac{157}{220}\right)$	$e\left(\frac{61}{330}\right)$	$e\left(\frac{343}{660}\right)$	$e\left(\frac{67}{110}\right)$	$e\left(\frac{157}{165}\right)$	$e\left(\frac{511}{660}\right)$	$e\left(\frac{323}{330}\right)$
$\chi_{5025}(14,\cdot)$	5025.cw	110	yes	$-1$	$1$	$e\left(\frac{9}{55}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{19}{22}\right)$	$e\left(\frac{27}{55}\right)$	$e\left(\frac{83}{110}\right)$	$e\left(\frac{67}{110}\right)$	$e\left(\frac{3}{110}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{37}{55}\right)$	$e\left(\frac{2}{55}\right)$
$\chi_{5025}(16,\cdot)$	5025.dc	165	no	$1$	$1$	$e\left(\frac{43}{165}\right)$	$e\left(\frac{86}{165}\right)$	$e\left(\frac{13}{33}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{128}{165}\right)$	$e\left(\frac{157}{165}\right)$	$e\left(\frac{36}{55}\right)$	$e\left(\frac{7}{165}\right)$	$e\left(\frac{79}{165}\right)$	$e\left(\frac{34}{165}\right)$
$\chi_{5025}(17,\cdot)$	5025.dr	660	yes	$1$	$1$	$e\left(\frac{79}{660}\right)$	$e\left(\frac{79}{330}\right)$	$e\left(\frac{73}{132}\right)$	$e\left(\frac{79}{220}\right)$	$e\left(\frac{37}{330}\right)$	$e\left(\frac{511}{660}\right)$	$e\left(\frac{37}{55}\right)$	$e\left(\frac{79}{165}\right)$	$e\left(\frac{7}{660}\right)$	$e\left(\frac{131}{330}\right)$
$\chi_{5025}(19,\cdot)$	5025.dk	330	no	$1$	$1$	$e\left(\frac{17}{330}\right)$	$e\left(\frac{17}{165}\right)$	$e\left(\frac{65}{66}\right)$	$e\left(\frac{17}{110}\right)$	$e\left(\frac{56}{165}\right)$	$e\left(\frac{323}{330}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{34}{165}\right)$	$e\left(\frac{131}{330}\right)$	$e\left(\frac{118}{165}\right)$
$\chi_{5025}(22,\cdot)$	5025.df	220	no	$-1$	$1$	$e\left(\frac{167}{220}\right)$	$e\left(\frac{57}{110}\right)$	$e\left(\frac{7}{44}\right)$	$e\left(\frac{61}{220}\right)$	$e\left(\frac{13}{55}\right)$	$e\left(\frac{93}{220}\right)$	$e\left(\frac{101}{110}\right)$	$e\left(\frac{2}{55}\right)$	$e\left(\frac{51}{220}\right)$	$e\left(\frac{43}{110}\right)$
$\chi_{5025}(23,\cdot)$	5025.dr	660	yes	$1$	$1$	$e\left(\frac{313}{660}\right)$	$e\left(\frac{313}{330}\right)$	$e\left(\frac{67}{132}\right)$	$e\left(\frac{93}{220}\right)$	$e\left(\frac{109}{330}\right)$	$e\left(\frac{337}{660}\right)$	$e\left(\frac{54}{55}\right)$	$e\left(\frac{148}{165}\right)$	$e\left(\frac{529}{660}\right)$	$e\left(\frac{47}{330}\right)$
$\chi_{5025}(26,\cdot)$	5025.cm	66	no	$-1$	$1$	$e\left(\frac{53}{66}\right)$	$e\left(\frac{20}{33}\right)$	$e\left(\frac{32}{33}\right)$	$e\left(\frac{9}{22}\right)$	$e\left(\frac{25}{66}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{7}{33}\right)$	$e\left(\frac{59}{66}\right)$	$e\left(\frac{1}{33}\right)$
$\chi_{5025}(28,\cdot)$	5025.dq	660	no	$1$	$1$	$e\left(\frac{481}{660}\right)$	$e\left(\frac{151}{330}\right)$	$e\left(\frac{61}{132}\right)$	$e\left(\frac{41}{220}\right)$	$e\left(\frac{313}{330}\right)$	$e\left(\frac{559}{660}\right)$	$e\left(\frac{21}{110}\right)$	$e\left(\frac{151}{165}\right)$	$e\left(\frac{523}{660}\right)$	$e\left(\frac{29}{330}\right)$
$\chi_{5025}(29,\cdot)$	5025.by	30	yes	$-1$	$1$	$e\left(\frac{4}{15}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{13}{30}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{1}{15}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{7}{15}\right)$
$\chi_{5025}(31,\cdot)$	5025.dl	330	no	$-1$	$1$	$e\left(\frac{37}{330}\right)$	$e\left(\frac{37}{165}\right)$	$e\left(\frac{25}{66}\right)$	$e\left(\frac{37}{110}\right)$	$e\left(\frac{137}{330}\right)$	$e\left(\frac{43}{330}\right)$	$e\left(\frac{27}{55}\right)$	$e\left(\frac{74}{165}\right)$	$e\left(\frac{128}{165}\right)$	$e\left(\frac{53}{165}\right)$
$\chi_{5025}(32,\cdot)$	5025.da	132	no	$-1$	$1$	$e\left(\frac{109}{132}\right)$	$e\left(\frac{43}{66}\right)$	$e\left(\frac{131}{132}\right)$	$e\left(\frac{21}{44}\right)$	$e\left(\frac{32}{33}\right)$	$e\left(\frac{25}{132}\right)$	$e\left(\frac{9}{11}\right)$	$e\left(\frac{10}{33}\right)$	$e\left(\frac{79}{132}\right)$	$e\left(\frac{17}{66}\right)$
$\chi_{5025}(34,\cdot)$	5025.dj	330	no	$-1$	$1$	$e\left(\frac{113}{165}\right)$	$e\left(\frac{61}{165}\right)$	$e\left(\frac{5}{33}\right)$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{101}{330}\right)$	$e\left(\frac{2}{165}\right)$	$e\left(\frac{46}{55}\right)$	$e\left(\frac{122}{165}\right)$	$e\left(\frac{43}{330}\right)$	$e\left(\frac{74}{165}\right)$
$\chi_{5025}(37,\cdot)$	5025.cj	60	no	$-1$	$1$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{53}{60}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{11}{60}\right)$	$e\left(\frac{13}{30}\right)$
$\chi_{5025}(38,\cdot)$	5025.ci	60	yes	$-1$	$1$	$e\left(\frac{37}{60}\right)$	$e\left(\frac{7}{30}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{8}{15}\right)$	$e\left(\frac{13}{60}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{23}{30}\right)$
$\chi_{5025}(41,\cdot)$	5025.dh	330	yes	$1$	$1$	$e\left(\frac{83}{165}\right)$	$e\left(\frac{1}{165}\right)$	$e\left(\frac{31}{66}\right)$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{13}{165}\right)$	$e\left(\frac{19}{330}\right)$	$e\left(\frac{107}{110}\right)$	$e\left(\frac{2}{165}\right)$	$e\left(\frac{163}{330}\right)$	$e\left(\frac{104}{165}\right)$
$\chi_{5025}(43,\cdot)$	5025.ce	44	no	$1$	$1$	$e\left(\frac{39}{44}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{39}{44}\right)$	$e\left(\frac{29}{44}\right)$	$e\left(\frac{1}{22}\right)$	$e\left(\frac{37}{44}\right)$	$e\left(\frac{17}{22}\right)$	$e\left(\frac{6}{11}\right)$	$e\left(\frac{21}{44}\right)$	$e\left(\frac{19}{22}\right)$
$\chi_{5025}(44,\cdot)$	5025.dm	330	yes	$1$	$1$	$e\left(\frac{107}{330}\right)$	$e\left(\frac{107}{165}\right)$	$e\left(\frac{25}{33}\right)$	$e\left(\frac{107}{110}\right)$	$e\left(\frac{71}{165}\right)$	$e\left(\frac{109}{165}\right)$	$e\left(\frac{9}{110}\right)$	$e\left(\frac{49}{165}\right)$	$e\left(\frac{58}{165}\right)$	$e\left(\frac{73}{165}\right)$
$\chi_{5025}(46,\cdot)$	5025.dl	330	no	$-1$	$1$	$e\left(\frac{13}{330}\right)$	$e\left(\frac{13}{165}\right)$	$e\left(\frac{7}{66}\right)$	$e\left(\frac{13}{110}\right)$	$e\left(\frac{173}{330}\right)$	$e\left(\frac{247}{330}\right)$	$e\left(\frac{8}{55}\right)$	$e\left(\frac{26}{165}\right)$	$e\left(\frac{152}{165}\right)$	$e\left(\frac{32}{165}\right)$
$\chi_{5025}(47,\cdot)$	5025.dr	660	yes	$1$	$1$	$e\left(\frac{71}{660}\right)$	$e\left(\frac{71}{330}\right)$	$e\left(\frac{89}{132}\right)$	$e\left(\frac{71}{220}\right)$	$e\left(\frac{263}{330}\right)$	$e\left(\frac{359}{660}\right)$	$e\left(\frac{43}{55}\right)$	$e\left(\frac{71}{165}\right)$	$e\left(\frac{23}{660}\right)$	$e\left(\frac{289}{330}\right)$
$\chi_{5025}(49,\cdot)$	5025.cl	66	no	$1$	$1$	$e\left(\frac{13}{66}\right)$	$e\left(\frac{13}{33}\right)$	$e\left(\frac{35}{66}\right)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{4}{33}\right)$	$e\left(\frac{49}{66}\right)$	$e\left(\frac{8}{11}\right)$	$e\left(\frac{26}{33}\right)$	$e\left(\frac{7}{66}\right)$	$e\left(\frac{32}{33}\right)$
$\chi_{5025}(52,\cdot)$	5025.dd	220	no	$1$	$1$	$e\left(\frac{81}{220}\right)$	$e\left(\frac{81}{110}\right)$	$e\left(\frac{25}{44}\right)$	$e\left(\frac{23}{220}\right)$	$e\left(\frac{63}{110}\right)$	$e\left(\frac{219}{220}\right)$	$e\left(\frac{103}{110}\right)$	$e\left(\frac{26}{55}\right)$	$e\left(\frac{3}{220}\right)$	$e\left(\frac{9}{110}\right)$
$\chi_{5025}(53,\cdot)$	5025.dg	220	yes	$-1$	$1$	$e\left(\frac{157}{220}\right)$	$e\left(\frac{47}{110}\right)$	$e\left(\frac{27}{44}\right)$	$e\left(\frac{31}{220}\right)$	$e\left(\frac{3}{55}\right)$	$e\left(\frac{13}{220}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{47}{55}\right)$	$e\left(\frac{71}{220}\right)$	$e\left(\frac{103}{110}\right)$
$\chi_{5025}(56,\cdot)$	5025.dn	330	yes	$-1$	$1$	$e\left(\frac{97}{330}\right)$	$e\left(\frac{97}{165}\right)$	$e\left(\frac{2}{33}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{47}{330}\right)$	$e\left(\frac{14}{165}\right)$	$e\left(\frac{39}{110}\right)$	$e\left(\frac{29}{165}\right)$	$e\left(\frac{301}{330}\right)$	$e\left(\frac{23}{165}\right)$
$\chi_{5025}(58,\cdot)$	5025.dd	220	no	$1$	$1$	$e\left(\frac{183}{220}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{19}{44}\right)$	$e\left(\frac{109}{220}\right)$	$e\left(\frac{69}{110}\right)$	$e\left(\frac{177}{220}\right)$	$e\left(\frac{29}{110}\right)$	$e\left(\frac{18}{55}\right)$	$e\left(\frac{129}{220}\right)$	$e\left(\frac{57}{110}\right)$
$\chi_{5025}(59,\cdot)$	5025.cw	110	yes	$-1$	$1$	$e\left(\frac{41}{55}\right)$	$e\left(\frac{27}{55}\right)$	$e\left(\frac{1}{22}\right)$	$e\left(\frac{13}{55}\right)$	$e\left(\frac{97}{110}\right)$	$e\left(\frac{73}{110}\right)$	$e\left(\frac{87}{110}\right)$	$e\left(\frac{54}{55}\right)$	$e\left(\frac{28}{55}\right)$	$e\left(\frac{3}{55}\right)$

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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	$5025$
Structure	\(C_{2}\times C_{2}\times C_{660}\)
Order	$2640$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\(\chi_{5025}(1,\cdot)\)	5025.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{5025}(2,\cdot)\)	5025.dp	660	yes	\(-1\)	\(1\)	\(e\left(\frac{373}{660}\right)\)	\(e\left(\frac{43}{330}\right)\)	\(e\left(\frac{79}{132}\right)\)	\(e\left(\frac{153}{220}\right)\)	\(e\left(\frac{32}{165}\right)\)	\(e\left(\frac{157}{660}\right)\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{43}{165}\right)\)	\(e\left(\frac{79}{660}\right)\)	\(e\left(\frac{17}{330}\right)\)
\(\chi_{5025}(4,\cdot)\)	5025.dk	330	no	\(1\)	\(1\)	\(e\left(\frac{43}{330}\right)\)	\(e\left(\frac{43}{165}\right)\)	\(e\left(\frac{13}{66}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{64}{165}\right)\)	\(e\left(\frac{157}{330}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{86}{165}\right)\)	\(e\left(\frac{79}{330}\right)\)	\(e\left(\frac{17}{165}\right)\)
\(\chi_{5025}(7,\cdot)\)	5025.cz	132	no	\(1\)	\(1\)	\(e\left(\frac{79}{132}\right)\)	\(e\left(\frac{13}{66}\right)\)	\(e\left(\frac{35}{132}\right)\)	\(e\left(\frac{35}{44}\right)\)	\(e\left(\frac{37}{66}\right)\)	\(e\left(\frac{49}{132}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{13}{33}\right)\)	\(e\left(\frac{73}{132}\right)\)	\(e\left(\frac{65}{66}\right)\)
\(\chi_{5025}(8,\cdot)\)	5025.dg	220	yes	\(-1\)	\(1\)	\(e\left(\frac{153}{220}\right)\)	\(e\left(\frac{43}{110}\right)\)	\(e\left(\frac{35}{44}\right)\)	\(e\left(\frac{19}{220}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{157}{220}\right)\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{79}{220}\right)\)	\(e\left(\frac{17}{110}\right)\)
\(\chi_{5025}(11,\cdot)\)	5025.dh	330	yes	\(1\)	\(1\)	\(e\left(\frac{32}{165}\right)\)	\(e\left(\frac{64}{165}\right)\)	\(e\left(\frac{37}{66}\right)\)	\(e\left(\frac{32}{55}\right)\)	\(e\left(\frac{7}{165}\right)\)	\(e\left(\frac{61}{330}\right)\)	\(e\left(\frac{83}{110}\right)\)	\(e\left(\frac{128}{165}\right)\)	\(e\left(\frac{37}{330}\right)\)	\(e\left(\frac{56}{165}\right)\)
\(\chi_{5025}(13,\cdot)\)	5025.dq	660	no	\(1\)	\(1\)	\(e\left(\frac{157}{660}\right)\)	\(e\left(\frac{157}{330}\right)\)	\(e\left(\frac{49}{132}\right)\)	\(e\left(\frac{157}{220}\right)\)	\(e\left(\frac{61}{330}\right)\)	\(e\left(\frac{343}{660}\right)\)	\(e\left(\frac{67}{110}\right)\)	\(e\left(\frac{157}{165}\right)\)	\(e\left(\frac{511}{660}\right)\)	\(e\left(\frac{323}{330}\right)\)
\(\chi_{5025}(14,\cdot)\)	5025.cw	110	yes	\(-1\)	\(1\)	\(e\left(\frac{9}{55}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{19}{22}\right)\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{83}{110}\right)\)	\(e\left(\frac{67}{110}\right)\)	\(e\left(\frac{3}{110}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{2}{55}\right)\)
\(\chi_{5025}(16,\cdot)\)	5025.dc	165	no	\(1\)	\(1\)	\(e\left(\frac{43}{165}\right)\)	\(e\left(\frac{86}{165}\right)\)	\(e\left(\frac{13}{33}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{128}{165}\right)\)	\(e\left(\frac{157}{165}\right)\)	\(e\left(\frac{36}{55}\right)\)	\(e\left(\frac{7}{165}\right)\)	\(e\left(\frac{79}{165}\right)\)	\(e\left(\frac{34}{165}\right)\)
\(\chi_{5025}(17,\cdot)\)	5025.dr	660	yes	\(1\)	\(1\)	\(e\left(\frac{79}{660}\right)\)	\(e\left(\frac{79}{330}\right)\)	\(e\left(\frac{73}{132}\right)\)	\(e\left(\frac{79}{220}\right)\)	\(e\left(\frac{37}{330}\right)\)	\(e\left(\frac{511}{660}\right)\)	\(e\left(\frac{37}{55}\right)\)	\(e\left(\frac{79}{165}\right)\)	\(e\left(\frac{7}{660}\right)\)	\(e\left(\frac{131}{330}\right)\)
\(\chi_{5025}(19,\cdot)\)	5025.dk	330	no	\(1\)	\(1\)	\(e\left(\frac{17}{330}\right)\)	\(e\left(\frac{17}{165}\right)\)	\(e\left(\frac{65}{66}\right)\)	\(e\left(\frac{17}{110}\right)\)	\(e\left(\frac{56}{165}\right)\)	\(e\left(\frac{323}{330}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{34}{165}\right)\)	\(e\left(\frac{131}{330}\right)\)	\(e\left(\frac{118}{165}\right)\)
\(\chi_{5025}(22,\cdot)\)	5025.df	220	no	\(-1\)	\(1\)	\(e\left(\frac{167}{220}\right)\)	\(e\left(\frac{57}{110}\right)\)	\(e\left(\frac{7}{44}\right)\)	\(e\left(\frac{61}{220}\right)\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{93}{220}\right)\)	\(e\left(\frac{101}{110}\right)\)	\(e\left(\frac{2}{55}\right)\)	\(e\left(\frac{51}{220}\right)\)	\(e\left(\frac{43}{110}\right)\)
\(\chi_{5025}(23,\cdot)\)	5025.dr	660	yes	\(1\)	\(1\)	\(e\left(\frac{313}{660}\right)\)	\(e\left(\frac{313}{330}\right)\)	\(e\left(\frac{67}{132}\right)\)	\(e\left(\frac{93}{220}\right)\)	\(e\left(\frac{109}{330}\right)\)	\(e\left(\frac{337}{660}\right)\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{148}{165}\right)\)	\(e\left(\frac{529}{660}\right)\)	\(e\left(\frac{47}{330}\right)\)
\(\chi_{5025}(26,\cdot)\)	5025.cm	66	no	\(-1\)	\(1\)	\(e\left(\frac{53}{66}\right)\)	\(e\left(\frac{20}{33}\right)\)	\(e\left(\frac{32}{33}\right)\)	\(e\left(\frac{9}{22}\right)\)	\(e\left(\frac{25}{66}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{7}{33}\right)\)	\(e\left(\frac{59}{66}\right)\)	\(e\left(\frac{1}{33}\right)\)
\(\chi_{5025}(28,\cdot)\)	5025.dq	660	no	\(1\)	\(1\)	\(e\left(\frac{481}{660}\right)\)	\(e\left(\frac{151}{330}\right)\)	\(e\left(\frac{61}{132}\right)\)	\(e\left(\frac{41}{220}\right)\)	\(e\left(\frac{313}{330}\right)\)	\(e\left(\frac{559}{660}\right)\)	\(e\left(\frac{21}{110}\right)\)	\(e\left(\frac{151}{165}\right)\)	\(e\left(\frac{523}{660}\right)\)	\(e\left(\frac{29}{330}\right)\)
\(\chi_{5025}(29,\cdot)\)	5025.by	30	yes	\(-1\)	\(1\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{13}{30}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{7}{15}\right)\)
\(\chi_{5025}(31,\cdot)\)	5025.dl	330	no	\(-1\)	\(1\)	\(e\left(\frac{37}{330}\right)\)	\(e\left(\frac{37}{165}\right)\)	\(e\left(\frac{25}{66}\right)\)	\(e\left(\frac{37}{110}\right)\)	\(e\left(\frac{137}{330}\right)\)	\(e\left(\frac{43}{330}\right)\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{74}{165}\right)\)	\(e\left(\frac{128}{165}\right)\)	\(e\left(\frac{53}{165}\right)\)
\(\chi_{5025}(32,\cdot)\)	5025.da	132	no	\(-1\)	\(1\)	\(e\left(\frac{109}{132}\right)\)	\(e\left(\frac{43}{66}\right)\)	\(e\left(\frac{131}{132}\right)\)	\(e\left(\frac{21}{44}\right)\)	\(e\left(\frac{32}{33}\right)\)	\(e\left(\frac{25}{132}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{10}{33}\right)\)	\(e\left(\frac{79}{132}\right)\)	\(e\left(\frac{17}{66}\right)\)
\(\chi_{5025}(34,\cdot)\)	5025.dj	330	no	\(-1\)	\(1\)	\(e\left(\frac{113}{165}\right)\)	\(e\left(\frac{61}{165}\right)\)	\(e\left(\frac{5}{33}\right)\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{101}{330}\right)\)	\(e\left(\frac{2}{165}\right)\)	\(e\left(\frac{46}{55}\right)\)	\(e\left(\frac{122}{165}\right)\)	\(e\left(\frac{43}{330}\right)\)	\(e\left(\frac{74}{165}\right)\)
\(\chi_{5025}(37,\cdot)\)	5025.cj	60	no	\(-1\)	\(1\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{53}{60}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{11}{60}\right)\)	\(e\left(\frac{13}{30}\right)\)
\(\chi_{5025}(38,\cdot)\)	5025.ci	60	yes	\(-1\)	\(1\)	\(e\left(\frac{37}{60}\right)\)	\(e\left(\frac{7}{30}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{13}{60}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{31}{60}\right)\)	\(e\left(\frac{23}{30}\right)\)
\(\chi_{5025}(41,\cdot)\)	5025.dh	330	yes	\(1\)	\(1\)	\(e\left(\frac{83}{165}\right)\)	\(e\left(\frac{1}{165}\right)\)	\(e\left(\frac{31}{66}\right)\)	\(e\left(\frac{28}{55}\right)\)	\(e\left(\frac{13}{165}\right)\)	\(e\left(\frac{19}{330}\right)\)	\(e\left(\frac{107}{110}\right)\)	\(e\left(\frac{2}{165}\right)\)	\(e\left(\frac{163}{330}\right)\)	\(e\left(\frac{104}{165}\right)\)
\(\chi_{5025}(43,\cdot)\)	5025.ce	44	no	\(1\)	\(1\)	\(e\left(\frac{39}{44}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{39}{44}\right)\)	\(e\left(\frac{29}{44}\right)\)	\(e\left(\frac{1}{22}\right)\)	\(e\left(\frac{37}{44}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{21}{44}\right)\)	\(e\left(\frac{19}{22}\right)\)
\(\chi_{5025}(44,\cdot)\)	5025.dm	330	yes	\(1\)	\(1\)	\(e\left(\frac{107}{330}\right)\)	\(e\left(\frac{107}{165}\right)\)	\(e\left(\frac{25}{33}\right)\)	\(e\left(\frac{107}{110}\right)\)	\(e\left(\frac{71}{165}\right)\)	\(e\left(\frac{109}{165}\right)\)	\(e\left(\frac{9}{110}\right)\)	\(e\left(\frac{49}{165}\right)\)	\(e\left(\frac{58}{165}\right)\)	\(e\left(\frac{73}{165}\right)\)
\(\chi_{5025}(46,\cdot)\)	5025.dl	330	no	\(-1\)	\(1\)	\(e\left(\frac{13}{330}\right)\)	\(e\left(\frac{13}{165}\right)\)	\(e\left(\frac{7}{66}\right)\)	\(e\left(\frac{13}{110}\right)\)	\(e\left(\frac{173}{330}\right)\)	\(e\left(\frac{247}{330}\right)\)	\(e\left(\frac{8}{55}\right)\)	\(e\left(\frac{26}{165}\right)\)	\(e\left(\frac{152}{165}\right)\)	\(e\left(\frac{32}{165}\right)\)
\(\chi_{5025}(47,\cdot)\)	5025.dr	660	yes	\(1\)	\(1\)	\(e\left(\frac{71}{660}\right)\)	\(e\left(\frac{71}{330}\right)\)	\(e\left(\frac{89}{132}\right)\)	\(e\left(\frac{71}{220}\right)\)	\(e\left(\frac{263}{330}\right)\)	\(e\left(\frac{359}{660}\right)\)	\(e\left(\frac{43}{55}\right)\)	\(e\left(\frac{71}{165}\right)\)	\(e\left(\frac{23}{660}\right)\)	\(e\left(\frac{289}{330}\right)\)
\(\chi_{5025}(49,\cdot)\)	5025.cl	66	no	\(1\)	\(1\)	\(e\left(\frac{13}{66}\right)\)	\(e\left(\frac{13}{33}\right)\)	\(e\left(\frac{35}{66}\right)\)	\(e\left(\frac{13}{22}\right)\)	\(e\left(\frac{4}{33}\right)\)	\(e\left(\frac{49}{66}\right)\)	\(e\left(\frac{8}{11}\right)\)	\(e\left(\frac{26}{33}\right)\)	\(e\left(\frac{7}{66}\right)\)	\(e\left(\frac{32}{33}\right)\)
\(\chi_{5025}(52,\cdot)\)	5025.dd	220	no	\(1\)	\(1\)	\(e\left(\frac{81}{220}\right)\)	\(e\left(\frac{81}{110}\right)\)	\(e\left(\frac{25}{44}\right)\)	\(e\left(\frac{23}{220}\right)\)	\(e\left(\frac{63}{110}\right)\)	\(e\left(\frac{219}{220}\right)\)	\(e\left(\frac{103}{110}\right)\)	\(e\left(\frac{26}{55}\right)\)	\(e\left(\frac{3}{220}\right)\)	\(e\left(\frac{9}{110}\right)\)
\(\chi_{5025}(53,\cdot)\)	5025.dg	220	yes	\(-1\)	\(1\)	\(e\left(\frac{157}{220}\right)\)	\(e\left(\frac{47}{110}\right)\)	\(e\left(\frac{27}{44}\right)\)	\(e\left(\frac{31}{220}\right)\)	\(e\left(\frac{3}{55}\right)\)	\(e\left(\frac{13}{220}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{47}{55}\right)\)	\(e\left(\frac{71}{220}\right)\)	\(e\left(\frac{103}{110}\right)\)
\(\chi_{5025}(56,\cdot)\)	5025.dn	330	yes	\(-1\)	\(1\)	\(e\left(\frac{97}{330}\right)\)	\(e\left(\frac{97}{165}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{47}{330}\right)\)	\(e\left(\frac{14}{165}\right)\)	\(e\left(\frac{39}{110}\right)\)	\(e\left(\frac{29}{165}\right)\)	\(e\left(\frac{301}{330}\right)\)	\(e\left(\frac{23}{165}\right)\)
\(\chi_{5025}(58,\cdot)\)	5025.dd	220	no	\(1\)	\(1\)	\(e\left(\frac{183}{220}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{19}{44}\right)\)	\(e\left(\frac{109}{220}\right)\)	\(e\left(\frac{69}{110}\right)\)	\(e\left(\frac{177}{220}\right)\)	\(e\left(\frac{29}{110}\right)\)	\(e\left(\frac{18}{55}\right)\)	\(e\left(\frac{129}{220}\right)\)	\(e\left(\frac{57}{110}\right)\)
\(\chi_{5025}(59,\cdot)\)	5025.cw	110	yes	\(-1\)	\(1\)	\(e\left(\frac{41}{55}\right)\)	\(e\left(\frac{27}{55}\right)\)	\(e\left(\frac{1}{22}\right)\)	\(e\left(\frac{13}{55}\right)\)	\(e\left(\frac{97}{110}\right)\)	\(e\left(\frac{73}{110}\right)\)	\(e\left(\frac{87}{110}\right)\)	\(e\left(\frac{54}{55}\right)\)	\(e\left(\frac{28}{55}\right)\)	\(e\left(\frac{3}{55}\right)\)

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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.