LMFDB - Group of Dirichlet characters of modulus 9025

sage:H = DirichletGroup(9025)

pari:g = idealstar(,9025,2)

Character group

sage:G.order() pari:g.no
Order	=	6840
sage:H.invariants() pari:g.cyc
Structure	=	$C_{2}\times C_{3420}$
sage:H.gens() pari:g.gen
Generators	=	$\chi_{9025}(5777,\cdot)$, $\chi_{9025}(3251,\cdot)$

First 32 of 6840 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	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{9025}(1,\cdot)$	9025.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{9025}(2,\cdot)$	9025.ct	3420	yes	$1$	$1$	$e\left(\frac{181}{3420}\right)$	$e\left(\frac{2587}{3420}\right)$	$e\left(\frac{181}{1710}\right)$	$e\left(\frac{692}{855}\right)$	$e\left(\frac{157}{228}\right)$	$e\left(\frac{181}{1140}\right)$	$e\left(\frac{877}{1710}\right)$	$e\left(\frac{28}{285}\right)$	$e\left(\frac{983}{1140}\right)$	$e\left(\frac{3119}{3420}\right)$
$\chi_{9025}(3,\cdot)$	9025.ct	3420	yes	$1$	$1$	$e\left(\frac{2587}{3420}\right)$	$e\left(\frac{3229}{3420}\right)$	$e\left(\frac{877}{1710}\right)$	$e\left(\frac{599}{855}\right)$	$e\left(\frac{163}{228}\right)$	$e\left(\frac{307}{1140}\right)$	$e\left(\frac{1519}{1710}\right)$	$e\left(\frac{16}{285}\right)$	$e\left(\frac{521}{1140}\right)$	$e\left(\frac{1253}{3420}\right)$
$\chi_{9025}(4,\cdot)$	9025.cq	1710	yes	$1$	$1$	$e\left(\frac{181}{1710}\right)$	$e\left(\frac{877}{1710}\right)$	$e\left(\frac{181}{855}\right)$	$e\left(\frac{529}{855}\right)$	$e\left(\frac{43}{114}\right)$	$e\left(\frac{181}{570}\right)$	$e\left(\frac{22}{855}\right)$	$e\left(\frac{56}{285}\right)$	$e\left(\frac{413}{570}\right)$	$e\left(\frac{1409}{1710}\right)$
$\chi_{9025}(6,\cdot)$	9025.cm	855	yes	$1$	$1$	$e\left(\frac{692}{855}\right)$	$e\left(\frac{599}{855}\right)$	$e\left(\frac{529}{855}\right)$	$e\left(\frac{436}{855}\right)$	$e\left(\frac{23}{57}\right)$	$e\left(\frac{122}{285}\right)$	$e\left(\frac{343}{855}\right)$	$e\left(\frac{44}{285}\right)$	$e\left(\frac{91}{285}\right)$	$e\left(\frac{238}{855}\right)$
$\chi_{9025}(7,\cdot)$	9025.bz	228	no	$-1$	$1$	$e\left(\frac{157}{228}\right)$	$e\left(\frac{163}{228}\right)$	$e\left(\frac{43}{114}\right)$	$e\left(\frac{23}{57}\right)$	$e\left(\frac{3}{76}\right)$	$e\left(\frac{5}{76}\right)$	$e\left(\frac{49}{114}\right)$	$e\left(\frac{14}{19}\right)$	$e\left(\frac{7}{76}\right)$	$e\left(\frac{11}{228}\right)$
$\chi_{9025}(8,\cdot)$	9025.cn	1140	yes	$1$	$1$	$e\left(\frac{181}{1140}\right)$	$e\left(\frac{307}{1140}\right)$	$e\left(\frac{181}{570}\right)$	$e\left(\frac{122}{285}\right)$	$e\left(\frac{5}{76}\right)$	$e\left(\frac{181}{380}\right)$	$e\left(\frac{307}{570}\right)$	$e\left(\frac{28}{95}\right)$	$e\left(\frac{223}{380}\right)$	$e\left(\frac{839}{1140}\right)$
$\chi_{9025}(9,\cdot)$	9025.cq	1710	yes	$1$	$1$	$e\left(\frac{877}{1710}\right)$	$e\left(\frac{1519}{1710}\right)$	$e\left(\frac{22}{855}\right)$	$e\left(\frac{343}{855}\right)$	$e\left(\frac{49}{114}\right)$	$e\left(\frac{307}{570}\right)$	$e\left(\frac{664}{855}\right)$	$e\left(\frac{32}{285}\right)$	$e\left(\frac{521}{570}\right)$	$e\left(\frac{1253}{1710}\right)$
$\chi_{9025}(11,\cdot)$	9025.cb	285	yes	$1$	$1$	$e\left(\frac{28}{285}\right)$	$e\left(\frac{16}{285}\right)$	$e\left(\frac{56}{285}\right)$	$e\left(\frac{44}{285}\right)$	$e\left(\frac{14}{19}\right)$	$e\left(\frac{28}{95}\right)$	$e\left(\frac{32}{285}\right)$	$e\left(\frac{21}{95}\right)$	$e\left(\frac{24}{95}\right)$	$e\left(\frac{92}{285}\right)$
$\chi_{9025}(12,\cdot)$	9025.cn	1140	yes	$1$	$1$	$e\left(\frac{983}{1140}\right)$	$e\left(\frac{521}{1140}\right)$	$e\left(\frac{413}{570}\right)$	$e\left(\frac{91}{285}\right)$	$e\left(\frac{7}{76}\right)$	$e\left(\frac{223}{380}\right)$	$e\left(\frac{521}{570}\right)$	$e\left(\frac{24}{95}\right)$	$e\left(\frac{69}{380}\right)$	$e\left(\frac{217}{1140}\right)$
$\chi_{9025}(13,\cdot)$	9025.ct	3420	yes	$1$	$1$	$e\left(\frac{3119}{3420}\right)$	$e\left(\frac{1253}{3420}\right)$	$e\left(\frac{1409}{1710}\right)$	$e\left(\frac{238}{855}\right)$	$e\left(\frac{11}{228}\right)$	$e\left(\frac{839}{1140}\right)$	$e\left(\frac{1253}{1710}\right)$	$e\left(\frac{92}{285}\right)$	$e\left(\frac{217}{1140}\right)$	$e\left(\frac{1861}{3420}\right)$
$\chi_{9025}(14,\cdot)$	9025.cp	1710	yes	$-1$	$1$	$e\left(\frac{634}{855}\right)$	$e\left(\frac{403}{855}\right)$	$e\left(\frac{413}{855}\right)$	$e\left(\frac{182}{855}\right)$	$e\left(\frac{83}{114}\right)$	$e\left(\frac{64}{285}\right)$	$e\left(\frac{806}{855}\right)$	$e\left(\frac{238}{285}\right)$	$e\left(\frac{272}{285}\right)$	$e\left(\frac{821}{855}\right)$
$\chi_{9025}(16,\cdot)$	9025.cm	855	yes	$1$	$1$	$e\left(\frac{181}{855}\right)$	$e\left(\frac{22}{855}\right)$	$e\left(\frac{362}{855}\right)$	$e\left(\frac{203}{855}\right)$	$e\left(\frac{43}{57}\right)$	$e\left(\frac{181}{285}\right)$	$e\left(\frac{44}{855}\right)$	$e\left(\frac{112}{285}\right)$	$e\left(\frac{128}{285}\right)$	$e\left(\frac{554}{855}\right)$
$\chi_{9025}(17,\cdot)$	9025.cs	3420	yes	$-1$	$1$	$e\left(\frac{1063}{3420}\right)$	$e\left(\frac{1381}{3420}\right)$	$e\left(\frac{1063}{1710}\right)$	$e\left(\frac{611}{855}\right)$	$e\left(\frac{85}{228}\right)$	$e\left(\frac{1063}{1140}\right)$	$e\left(\frac{1381}{1710}\right)$	$e\left(\frac{229}{285}\right)$	$e\left(\frac{29}{1140}\right)$	$e\left(\frac{2597}{3420}\right)$
$\chi_{9025}(18,\cdot)$	9025.bk	76	no	$1$	$1$	$e\left(\frac{43}{76}\right)$	$e\left(\frac{49}{76}\right)$	$e\left(\frac{5}{38}\right)$	$e\left(\frac{4}{19}\right)$	$e\left(\frac{9}{76}\right)$	$e\left(\frac{53}{76}\right)$	$e\left(\frac{11}{38}\right)$	$e\left(\frac{4}{19}\right)$	$e\left(\frac{59}{76}\right)$	$e\left(\frac{49}{76}\right)$
$\chi_{9025}(21,\cdot)$	9025.cr	1710	yes	$-1$	$1$	$e\left(\frac{761}{1710}\right)$	$e\left(\frac{1127}{1710}\right)$	$e\left(\frac{761}{855}\right)$	$e\left(\frac{89}{855}\right)$	$e\left(\frac{43}{57}\right)$	$e\left(\frac{191}{570}\right)$	$e\left(\frac{272}{855}\right)$	$e\left(\frac{226}{285}\right)$	$e\left(\frac{313}{570}\right)$	$e\left(\frac{709}{1710}\right)$
$\chi_{9025}(22,\cdot)$	9025.ct	3420	yes	$1$	$1$	$e\left(\frac{517}{3420}\right)$	$e\left(\frac{2779}{3420}\right)$	$e\left(\frac{517}{1710}\right)$	$e\left(\frac{824}{855}\right)$	$e\left(\frac{97}{228}\right)$	$e\left(\frac{517}{1140}\right)$	$e\left(\frac{1069}{1710}\right)$	$e\left(\frac{91}{285}\right)$	$e\left(\frac{131}{1140}\right)$	$e\left(\frac{803}{3420}\right)$
$\chi_{9025}(23,\cdot)$	9025.cs	3420	yes	$-1$	$1$	$e\left(\frac{3341}{3420}\right)$	$e\left(\frac{647}{3420}\right)$	$e\left(\frac{1631}{1710}\right)$	$e\left(\frac{142}{855}\right)$	$e\left(\frac{179}{228}\right)$	$e\left(\frac{1061}{1140}\right)$	$e\left(\frac{647}{1710}\right)$	$e\left(\frac{98}{285}\right)$	$e\left(\frac{163}{1140}\right)$	$e\left(\frac{3079}{3420}\right)$
$\chi_{9025}(24,\cdot)$	9025.cc	342	no	$1$	$1$	$e\left(\frac{313}{342}\right)$	$e\left(\frac{73}{342}\right)$	$e\left(\frac{142}{171}\right)$	$e\left(\frac{22}{171}\right)$	$e\left(\frac{89}{114}\right)$	$e\left(\frac{85}{114}\right)$	$e\left(\frac{73}{171}\right)$	$e\left(\frac{20}{57}\right)$	$e\left(\frac{5}{114}\right)$	$e\left(\frac{35}{342}\right)$
$\chi_{9025}(26,\cdot)$	9025.bh	57	no	$1$	$1$	$e\left(\frac{55}{57}\right)$	$e\left(\frac{7}{57}\right)$	$e\left(\frac{53}{57}\right)$	$e\left(\frac{5}{57}\right)$	$e\left(\frac{14}{19}\right)$	$e\left(\frac{17}{19}\right)$	$e\left(\frac{14}{57}\right)$	$e\left(\frac{8}{19}\right)$	$e\left(\frac{1}{19}\right)$	$e\left(\frac{26}{57}\right)$
$\chi_{9025}(27,\cdot)$	9025.cn	1140	yes	$1$	$1$	$e\left(\frac{307}{1140}\right)$	$e\left(\frac{949}{1140}\right)$	$e\left(\frac{307}{570}\right)$	$e\left(\frac{29}{285}\right)$	$e\left(\frac{11}{76}\right)$	$e\left(\frac{307}{380}\right)$	$e\left(\frac{379}{570}\right)$	$e\left(\frac{16}{95}\right)$	$e\left(\frac{141}{380}\right)$	$e\left(\frac{113}{1140}\right)$
$\chi_{9025}(28,\cdot)$	9025.bv	180	no	$-1$	$1$	$e\left(\frac{143}{180}\right)$	$e\left(\frac{41}{180}\right)$	$e\left(\frac{53}{90}\right)$	$e\left(\frac{1}{45}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{23}{60}\right)$	$e\left(\frac{41}{90}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{49}{60}\right)$	$e\left(\frac{157}{180}\right)$
$\chi_{9025}(29,\cdot)$	9025.cp	1710	yes	$-1$	$1$	$e\left(\frac{128}{855}\right)$	$e\left(\frac{521}{855}\right)$	$e\left(\frac{256}{855}\right)$	$e\left(\frac{649}{855}\right)$	$e\left(\frac{109}{114}\right)$	$e\left(\frac{128}{285}\right)$	$e\left(\frac{187}{855}\right)$	$e\left(\frac{191}{285}\right)$	$e\left(\frac{259}{285}\right)$	$e\left(\frac{217}{855}\right)$
$\chi_{9025}(31,\cdot)$	9025.ci	570	yes	$-1$	$1$	$e\left(\frac{163}{570}\right)$	$e\left(\frac{541}{570}\right)$	$e\left(\frac{163}{285}\right)$	$e\left(\frac{67}{285}\right)$	$e\left(\frac{17}{19}\right)$	$e\left(\frac{163}{190}\right)$	$e\left(\frac{256}{285}\right)$	$e\left(\frac{73}{95}\right)$	$e\left(\frac{99}{190}\right)$	$e\left(\frac{47}{570}\right)$
$\chi_{9025}(32,\cdot)$	9025.ck	684	no	$1$	$1$	$e\left(\frac{181}{684}\right)$	$e\left(\frac{535}{684}\right)$	$e\left(\frac{181}{342}\right)$	$e\left(\frac{8}{171}\right)$	$e\left(\frac{101}{228}\right)$	$e\left(\frac{181}{228}\right)$	$e\left(\frac{193}{342}\right)$	$e\left(\frac{28}{57}\right)$	$e\left(\frac{71}{228}\right)$	$e\left(\frac{383}{684}\right)$
$\chi_{9025}(33,\cdot)$	9025.ct	3420	yes	$1$	$1$	$e\left(\frac{2923}{3420}\right)$	$e\left(\frac{1}{3420}\right)$	$e\left(\frac{1213}{1710}\right)$	$e\left(\frac{731}{855}\right)$	$e\left(\frac{103}{228}\right)$	$e\left(\frac{643}{1140}\right)$	$e\left(\frac{1}{1710}\right)$	$e\left(\frac{79}{285}\right)$	$e\left(\frac{809}{1140}\right)$	$e\left(\frac{2357}{3420}\right)$
$\chi_{9025}(34,\cdot)$	9025.cp	1710	yes	$-1$	$1$	$e\left(\frac{311}{855}\right)$	$e\left(\frac{137}{855}\right)$	$e\left(\frac{622}{855}\right)$	$e\left(\frac{448}{855}\right)$	$e\left(\frac{7}{114}\right)$	$e\left(\frac{26}{285}\right)$	$e\left(\frac{274}{855}\right)$	$e\left(\frac{257}{285}\right)$	$e\left(\frac{253}{285}\right)$	$e\left(\frac{574}{855}\right)$
$\chi_{9025}(36,\cdot)$	9025.cm	855	yes	$1$	$1$	$e\left(\frac{529}{855}\right)$	$e\left(\frac{343}{855}\right)$	$e\left(\frac{203}{855}\right)$	$e\left(\frac{17}{855}\right)$	$e\left(\frac{46}{57}\right)$	$e\left(\frac{244}{285}\right)$	$e\left(\frac{686}{855}\right)$	$e\left(\frac{88}{285}\right)$	$e\left(\frac{182}{285}\right)$	$e\left(\frac{476}{855}\right)$
$\chi_{9025}(37,\cdot)$	9025.cg	380	yes	$1$	$1$	$e\left(\frac{221}{380}\right)$	$e\left(\frac{167}{380}\right)$	$e\left(\frac{31}{190}\right)$	$e\left(\frac{2}{95}\right)$	$e\left(\frac{75}{76}\right)$	$e\left(\frac{283}{380}\right)$	$e\left(\frac{167}{190}\right)$	$e\left(\frac{59}{95}\right)$	$e\left(\frac{229}{380}\right)$	$e\left(\frac{319}{380}\right)$
$\chi_{9025}(39,\cdot)$	9025.bx	190	yes	$1$	$1$	$e\left(\frac{127}{190}\right)$	$e\left(\frac{59}{190}\right)$	$e\left(\frac{32}{95}\right)$	$e\left(\frac{93}{95}\right)$	$e\left(\frac{29}{38}\right)$	$e\left(\frac{1}{190}\right)$	$e\left(\frac{59}{95}\right)$	$e\left(\frac{36}{95}\right)$	$e\left(\frac{123}{190}\right)$	$e\left(\frac{173}{190}\right)$
$\chi_{9025}(41,\cdot)$	9025.cr	1710	yes	$-1$	$1$	$e\left(\frac{677}{1710}\right)$	$e\left(\frac{1079}{1710}\right)$	$e\left(\frac{677}{855}\right)$	$e\left(\frac{23}{855}\right)$	$e\left(\frac{22}{57}\right)$	$e\left(\frac{107}{570}\right)$	$e\left(\frac{224}{855}\right)$	$e\left(\frac{52}{285}\right)$	$e\left(\frac{241}{570}\right)$	$e\left(\frac{433}{1710}\right)$
$\chi_{9025}(42,\cdot)$	9025.cs	3420	yes	$-1$	$1$	$e\left(\frac{1703}{3420}\right)$	$e\left(\frac{1421}{3420}\right)$	$e\left(\frac{1703}{1710}\right)$	$e\left(\frac{781}{855}\right)$	$e\left(\frac{101}{228}\right)$	$e\left(\frac{563}{1140}\right)$	$e\left(\frac{1421}{1710}\right)$	$e\left(\frac{254}{285}\right)$	$e\left(\frac{469}{1140}\right)$	$e\left(\frac{1117}{3420}\right)$

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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	$9025$
Structure	\(C_{2}\times C_{3420}\)
Order	$6840$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)
\(\chi_{9025}(1,\cdot)\)	9025.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{9025}(2,\cdot)\)	9025.ct	3420	yes	\(1\)	\(1\)	\(e\left(\frac{181}{3420}\right)\)	\(e\left(\frac{2587}{3420}\right)\)	\(e\left(\frac{181}{1710}\right)\)	\(e\left(\frac{692}{855}\right)\)	\(e\left(\frac{157}{228}\right)\)	\(e\left(\frac{181}{1140}\right)\)	\(e\left(\frac{877}{1710}\right)\)	\(e\left(\frac{28}{285}\right)\)	\(e\left(\frac{983}{1140}\right)\)	\(e\left(\frac{3119}{3420}\right)\)
\(\chi_{9025}(3,\cdot)\)	9025.ct	3420	yes	\(1\)	\(1\)	\(e\left(\frac{2587}{3420}\right)\)	\(e\left(\frac{3229}{3420}\right)\)	\(e\left(\frac{877}{1710}\right)\)	\(e\left(\frac{599}{855}\right)\)	\(e\left(\frac{163}{228}\right)\)	\(e\left(\frac{307}{1140}\right)\)	\(e\left(\frac{1519}{1710}\right)\)	\(e\left(\frac{16}{285}\right)\)	\(e\left(\frac{521}{1140}\right)\)	\(e\left(\frac{1253}{3420}\right)\)
\(\chi_{9025}(4,\cdot)\)	9025.cq	1710	yes	\(1\)	\(1\)	\(e\left(\frac{181}{1710}\right)\)	\(e\left(\frac{877}{1710}\right)\)	\(e\left(\frac{181}{855}\right)\)	\(e\left(\frac{529}{855}\right)\)	\(e\left(\frac{43}{114}\right)\)	\(e\left(\frac{181}{570}\right)\)	\(e\left(\frac{22}{855}\right)\)	\(e\left(\frac{56}{285}\right)\)	\(e\left(\frac{413}{570}\right)\)	\(e\left(\frac{1409}{1710}\right)\)
\(\chi_{9025}(6,\cdot)\)	9025.cm	855	yes	\(1\)	\(1\)	\(e\left(\frac{692}{855}\right)\)	\(e\left(\frac{599}{855}\right)\)	\(e\left(\frac{529}{855}\right)\)	\(e\left(\frac{436}{855}\right)\)	\(e\left(\frac{23}{57}\right)\)	\(e\left(\frac{122}{285}\right)\)	\(e\left(\frac{343}{855}\right)\)	\(e\left(\frac{44}{285}\right)\)	\(e\left(\frac{91}{285}\right)\)	\(e\left(\frac{238}{855}\right)\)
\(\chi_{9025}(7,\cdot)\)	9025.bz	228	no	\(-1\)	\(1\)	\(e\left(\frac{157}{228}\right)\)	\(e\left(\frac{163}{228}\right)\)	\(e\left(\frac{43}{114}\right)\)	\(e\left(\frac{23}{57}\right)\)	\(e\left(\frac{3}{76}\right)\)	\(e\left(\frac{5}{76}\right)\)	\(e\left(\frac{49}{114}\right)\)	\(e\left(\frac{14}{19}\right)\)	\(e\left(\frac{7}{76}\right)\)	\(e\left(\frac{11}{228}\right)\)
\(\chi_{9025}(8,\cdot)\)	9025.cn	1140	yes	\(1\)	\(1\)	\(e\left(\frac{181}{1140}\right)\)	\(e\left(\frac{307}{1140}\right)\)	\(e\left(\frac{181}{570}\right)\)	\(e\left(\frac{122}{285}\right)\)	\(e\left(\frac{5}{76}\right)\)	\(e\left(\frac{181}{380}\right)\)	\(e\left(\frac{307}{570}\right)\)	\(e\left(\frac{28}{95}\right)\)	\(e\left(\frac{223}{380}\right)\)	\(e\left(\frac{839}{1140}\right)\)
\(\chi_{9025}(9,\cdot)\)	9025.cq	1710	yes	\(1\)	\(1\)	\(e\left(\frac{877}{1710}\right)\)	\(e\left(\frac{1519}{1710}\right)\)	\(e\left(\frac{22}{855}\right)\)	\(e\left(\frac{343}{855}\right)\)	\(e\left(\frac{49}{114}\right)\)	\(e\left(\frac{307}{570}\right)\)	\(e\left(\frac{664}{855}\right)\)	\(e\left(\frac{32}{285}\right)\)	\(e\left(\frac{521}{570}\right)\)	\(e\left(\frac{1253}{1710}\right)\)
\(\chi_{9025}(11,\cdot)\)	9025.cb	285	yes	\(1\)	\(1\)	\(e\left(\frac{28}{285}\right)\)	\(e\left(\frac{16}{285}\right)\)	\(e\left(\frac{56}{285}\right)\)	\(e\left(\frac{44}{285}\right)\)	\(e\left(\frac{14}{19}\right)\)	\(e\left(\frac{28}{95}\right)\)	\(e\left(\frac{32}{285}\right)\)	\(e\left(\frac{21}{95}\right)\)	\(e\left(\frac{24}{95}\right)\)	\(e\left(\frac{92}{285}\right)\)
\(\chi_{9025}(12,\cdot)\)	9025.cn	1140	yes	\(1\)	\(1\)	\(e\left(\frac{983}{1140}\right)\)	\(e\left(\frac{521}{1140}\right)\)	\(e\left(\frac{413}{570}\right)\)	\(e\left(\frac{91}{285}\right)\)	\(e\left(\frac{7}{76}\right)\)	\(e\left(\frac{223}{380}\right)\)	\(e\left(\frac{521}{570}\right)\)	\(e\left(\frac{24}{95}\right)\)	\(e\left(\frac{69}{380}\right)\)	\(e\left(\frac{217}{1140}\right)\)
\(\chi_{9025}(13,\cdot)\)	9025.ct	3420	yes	\(1\)	\(1\)	\(e\left(\frac{3119}{3420}\right)\)	\(e\left(\frac{1253}{3420}\right)\)	\(e\left(\frac{1409}{1710}\right)\)	\(e\left(\frac{238}{855}\right)\)	\(e\left(\frac{11}{228}\right)\)	\(e\left(\frac{839}{1140}\right)\)	\(e\left(\frac{1253}{1710}\right)\)	\(e\left(\frac{92}{285}\right)\)	\(e\left(\frac{217}{1140}\right)\)	\(e\left(\frac{1861}{3420}\right)\)
\(\chi_{9025}(14,\cdot)\)	9025.cp	1710	yes	\(-1\)	\(1\)	\(e\left(\frac{634}{855}\right)\)	\(e\left(\frac{403}{855}\right)\)	\(e\left(\frac{413}{855}\right)\)	\(e\left(\frac{182}{855}\right)\)	\(e\left(\frac{83}{114}\right)\)	\(e\left(\frac{64}{285}\right)\)	\(e\left(\frac{806}{855}\right)\)	\(e\left(\frac{238}{285}\right)\)	\(e\left(\frac{272}{285}\right)\)	\(e\left(\frac{821}{855}\right)\)
\(\chi_{9025}(16,\cdot)\)	9025.cm	855	yes	\(1\)	\(1\)	\(e\left(\frac{181}{855}\right)\)	\(e\left(\frac{22}{855}\right)\)	\(e\left(\frac{362}{855}\right)\)	\(e\left(\frac{203}{855}\right)\)	\(e\left(\frac{43}{57}\right)\)	\(e\left(\frac{181}{285}\right)\)	\(e\left(\frac{44}{855}\right)\)	\(e\left(\frac{112}{285}\right)\)	\(e\left(\frac{128}{285}\right)\)	\(e\left(\frac{554}{855}\right)\)
\(\chi_{9025}(17,\cdot)\)	9025.cs	3420	yes	\(-1\)	\(1\)	\(e\left(\frac{1063}{3420}\right)\)	\(e\left(\frac{1381}{3420}\right)\)	\(e\left(\frac{1063}{1710}\right)\)	\(e\left(\frac{611}{855}\right)\)	\(e\left(\frac{85}{228}\right)\)	\(e\left(\frac{1063}{1140}\right)\)	\(e\left(\frac{1381}{1710}\right)\)	\(e\left(\frac{229}{285}\right)\)	\(e\left(\frac{29}{1140}\right)\)	\(e\left(\frac{2597}{3420}\right)\)
\(\chi_{9025}(18,\cdot)\)	9025.bk	76	no	\(1\)	\(1\)	\(e\left(\frac{43}{76}\right)\)	\(e\left(\frac{49}{76}\right)\)	\(e\left(\frac{5}{38}\right)\)	\(e\left(\frac{4}{19}\right)\)	\(e\left(\frac{9}{76}\right)\)	\(e\left(\frac{53}{76}\right)\)	\(e\left(\frac{11}{38}\right)\)	\(e\left(\frac{4}{19}\right)\)	\(e\left(\frac{59}{76}\right)\)	\(e\left(\frac{49}{76}\right)\)
\(\chi_{9025}(21,\cdot)\)	9025.cr	1710	yes	\(-1\)	\(1\)	\(e\left(\frac{761}{1710}\right)\)	\(e\left(\frac{1127}{1710}\right)\)	\(e\left(\frac{761}{855}\right)\)	\(e\left(\frac{89}{855}\right)\)	\(e\left(\frac{43}{57}\right)\)	\(e\left(\frac{191}{570}\right)\)	\(e\left(\frac{272}{855}\right)\)	\(e\left(\frac{226}{285}\right)\)	\(e\left(\frac{313}{570}\right)\)	\(e\left(\frac{709}{1710}\right)\)
\(\chi_{9025}(22,\cdot)\)	9025.ct	3420	yes	\(1\)	\(1\)	\(e\left(\frac{517}{3420}\right)\)	\(e\left(\frac{2779}{3420}\right)\)	\(e\left(\frac{517}{1710}\right)\)	\(e\left(\frac{824}{855}\right)\)	\(e\left(\frac{97}{228}\right)\)	\(e\left(\frac{517}{1140}\right)\)	\(e\left(\frac{1069}{1710}\right)\)	\(e\left(\frac{91}{285}\right)\)	\(e\left(\frac{131}{1140}\right)\)	\(e\left(\frac{803}{3420}\right)\)
\(\chi_{9025}(23,\cdot)\)	9025.cs	3420	yes	\(-1\)	\(1\)	\(e\left(\frac{3341}{3420}\right)\)	\(e\left(\frac{647}{3420}\right)\)	\(e\left(\frac{1631}{1710}\right)\)	\(e\left(\frac{142}{855}\right)\)	\(e\left(\frac{179}{228}\right)\)	\(e\left(\frac{1061}{1140}\right)\)	\(e\left(\frac{647}{1710}\right)\)	\(e\left(\frac{98}{285}\right)\)	\(e\left(\frac{163}{1140}\right)\)	\(e\left(\frac{3079}{3420}\right)\)
\(\chi_{9025}(24,\cdot)\)	9025.cc	342	no	\(1\)	\(1\)	\(e\left(\frac{313}{342}\right)\)	\(e\left(\frac{73}{342}\right)\)	\(e\left(\frac{142}{171}\right)\)	\(e\left(\frac{22}{171}\right)\)	\(e\left(\frac{89}{114}\right)\)	\(e\left(\frac{85}{114}\right)\)	\(e\left(\frac{73}{171}\right)\)	\(e\left(\frac{20}{57}\right)\)	\(e\left(\frac{5}{114}\right)\)	\(e\left(\frac{35}{342}\right)\)
\(\chi_{9025}(26,\cdot)\)	9025.bh	57	no	\(1\)	\(1\)	\(e\left(\frac{55}{57}\right)\)	\(e\left(\frac{7}{57}\right)\)	\(e\left(\frac{53}{57}\right)\)	\(e\left(\frac{5}{57}\right)\)	\(e\left(\frac{14}{19}\right)\)	\(e\left(\frac{17}{19}\right)\)	\(e\left(\frac{14}{57}\right)\)	\(e\left(\frac{8}{19}\right)\)	\(e\left(\frac{1}{19}\right)\)	\(e\left(\frac{26}{57}\right)\)
\(\chi_{9025}(27,\cdot)\)	9025.cn	1140	yes	\(1\)	\(1\)	\(e\left(\frac{307}{1140}\right)\)	\(e\left(\frac{949}{1140}\right)\)	\(e\left(\frac{307}{570}\right)\)	\(e\left(\frac{29}{285}\right)\)	\(e\left(\frac{11}{76}\right)\)	\(e\left(\frac{307}{380}\right)\)	\(e\left(\frac{379}{570}\right)\)	\(e\left(\frac{16}{95}\right)\)	\(e\left(\frac{141}{380}\right)\)	\(e\left(\frac{113}{1140}\right)\)
\(\chi_{9025}(28,\cdot)\)	9025.bv	180	no	\(-1\)	\(1\)	\(e\left(\frac{143}{180}\right)\)	\(e\left(\frac{41}{180}\right)\)	\(e\left(\frac{53}{90}\right)\)	\(e\left(\frac{1}{45}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{23}{60}\right)\)	\(e\left(\frac{41}{90}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{49}{60}\right)\)	\(e\left(\frac{157}{180}\right)\)
\(\chi_{9025}(29,\cdot)\)	9025.cp	1710	yes	\(-1\)	\(1\)	\(e\left(\frac{128}{855}\right)\)	\(e\left(\frac{521}{855}\right)\)	\(e\left(\frac{256}{855}\right)\)	\(e\left(\frac{649}{855}\right)\)	\(e\left(\frac{109}{114}\right)\)	\(e\left(\frac{128}{285}\right)\)	\(e\left(\frac{187}{855}\right)\)	\(e\left(\frac{191}{285}\right)\)	\(e\left(\frac{259}{285}\right)\)	\(e\left(\frac{217}{855}\right)\)
\(\chi_{9025}(31,\cdot)\)	9025.ci	570	yes	\(-1\)	\(1\)	\(e\left(\frac{163}{570}\right)\)	\(e\left(\frac{541}{570}\right)\)	\(e\left(\frac{163}{285}\right)\)	\(e\left(\frac{67}{285}\right)\)	\(e\left(\frac{17}{19}\right)\)	\(e\left(\frac{163}{190}\right)\)	\(e\left(\frac{256}{285}\right)\)	\(e\left(\frac{73}{95}\right)\)	\(e\left(\frac{99}{190}\right)\)	\(e\left(\frac{47}{570}\right)\)
\(\chi_{9025}(32,\cdot)\)	9025.ck	684	no	\(1\)	\(1\)	\(e\left(\frac{181}{684}\right)\)	\(e\left(\frac{535}{684}\right)\)	\(e\left(\frac{181}{342}\right)\)	\(e\left(\frac{8}{171}\right)\)	\(e\left(\frac{101}{228}\right)\)	\(e\left(\frac{181}{228}\right)\)	\(e\left(\frac{193}{342}\right)\)	\(e\left(\frac{28}{57}\right)\)	\(e\left(\frac{71}{228}\right)\)	\(e\left(\frac{383}{684}\right)\)
\(\chi_{9025}(33,\cdot)\)	9025.ct	3420	yes	\(1\)	\(1\)	\(e\left(\frac{2923}{3420}\right)\)	\(e\left(\frac{1}{3420}\right)\)	\(e\left(\frac{1213}{1710}\right)\)	\(e\left(\frac{731}{855}\right)\)	\(e\left(\frac{103}{228}\right)\)	\(e\left(\frac{643}{1140}\right)\)	\(e\left(\frac{1}{1710}\right)\)	\(e\left(\frac{79}{285}\right)\)	\(e\left(\frac{809}{1140}\right)\)	\(e\left(\frac{2357}{3420}\right)\)
\(\chi_{9025}(34,\cdot)\)	9025.cp	1710	yes	\(-1\)	\(1\)	\(e\left(\frac{311}{855}\right)\)	\(e\left(\frac{137}{855}\right)\)	\(e\left(\frac{622}{855}\right)\)	\(e\left(\frac{448}{855}\right)\)	\(e\left(\frac{7}{114}\right)\)	\(e\left(\frac{26}{285}\right)\)	\(e\left(\frac{274}{855}\right)\)	\(e\left(\frac{257}{285}\right)\)	\(e\left(\frac{253}{285}\right)\)	\(e\left(\frac{574}{855}\right)\)
\(\chi_{9025}(36,\cdot)\)	9025.cm	855	yes	\(1\)	\(1\)	\(e\left(\frac{529}{855}\right)\)	\(e\left(\frac{343}{855}\right)\)	\(e\left(\frac{203}{855}\right)\)	\(e\left(\frac{17}{855}\right)\)	\(e\left(\frac{46}{57}\right)\)	\(e\left(\frac{244}{285}\right)\)	\(e\left(\frac{686}{855}\right)\)	\(e\left(\frac{88}{285}\right)\)	\(e\left(\frac{182}{285}\right)\)	\(e\left(\frac{476}{855}\right)\)
\(\chi_{9025}(37,\cdot)\)	9025.cg	380	yes	\(1\)	\(1\)	\(e\left(\frac{221}{380}\right)\)	\(e\left(\frac{167}{380}\right)\)	\(e\left(\frac{31}{190}\right)\)	\(e\left(\frac{2}{95}\right)\)	\(e\left(\frac{75}{76}\right)\)	\(e\left(\frac{283}{380}\right)\)	\(e\left(\frac{167}{190}\right)\)	\(e\left(\frac{59}{95}\right)\)	\(e\left(\frac{229}{380}\right)\)	\(e\left(\frac{319}{380}\right)\)
\(\chi_{9025}(39,\cdot)\)	9025.bx	190	yes	\(1\)	\(1\)	\(e\left(\frac{127}{190}\right)\)	\(e\left(\frac{59}{190}\right)\)	\(e\left(\frac{32}{95}\right)\)	\(e\left(\frac{93}{95}\right)\)	\(e\left(\frac{29}{38}\right)\)	\(e\left(\frac{1}{190}\right)\)	\(e\left(\frac{59}{95}\right)\)	\(e\left(\frac{36}{95}\right)\)	\(e\left(\frac{123}{190}\right)\)	\(e\left(\frac{173}{190}\right)\)
\(\chi_{9025}(41,\cdot)\)	9025.cr	1710	yes	\(-1\)	\(1\)	\(e\left(\frac{677}{1710}\right)\)	\(e\left(\frac{1079}{1710}\right)\)	\(e\left(\frac{677}{855}\right)\)	\(e\left(\frac{23}{855}\right)\)	\(e\left(\frac{22}{57}\right)\)	\(e\left(\frac{107}{570}\right)\)	\(e\left(\frac{224}{855}\right)\)	\(e\left(\frac{52}{285}\right)\)	\(e\left(\frac{241}{570}\right)\)	\(e\left(\frac{433}{1710}\right)\)
\(\chi_{9025}(42,\cdot)\)	9025.cs	3420	yes	\(-1\)	\(1\)	\(e\left(\frac{1703}{3420}\right)\)	\(e\left(\frac{1421}{3420}\right)\)	\(e\left(\frac{1703}{1710}\right)\)	\(e\left(\frac{781}{855}\right)\)	\(e\left(\frac{101}{228}\right)\)	\(e\left(\frac{563}{1140}\right)\)	\(e\left(\frac{1421}{1710}\right)\)	\(e\left(\frac{254}{285}\right)\)	\(e\left(\frac{469}{1140}\right)\)	\(e\left(\frac{1117}{3420}\right)\)

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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.