LMFDB - Group of Dirichlet characters of modulus 91035

Show commands: PariGP / SageMath

sage: H = DirichletGroup(91035)

pari: g = idealstar(,91035,2)

Character group

sage: G.order() pari: g.no
Order	=	39168
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{12}\times C_{816}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{91035}(80921,\cdot)$, $\chi_{91035}(54622,\cdot)$, $\chi_{91035}(65026,\cdot)$, $\chi_{91035}(28036,\cdot)$

First 32 of 39168 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	$-1$	$1$	$2$	$4$	$8$	$11$	$13$	$16$	$19$	$22$	$23$	$26$
$\chi_{91035}(1,\cdot)$	91035.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{91035}(2,\cdot)$	91035.ys	408	yes	$1$	$1$	$e\left(\frac{41}{51}\right)$	$e\left(\frac{31}{51}\right)$	$e\left(\frac{7}{17}\right)$	$e\left(\frac{77}{136}\right)$	$e\left(\frac{203}{204}\right)$	$e\left(\frac{11}{51}\right)$	$e\left(\frac{193}{204}\right)$	$e\left(\frac{151}{408}\right)$	$e\left(\frac{3}{136}\right)$	$e\left(\frac{163}{204}\right)$
$\chi_{91035}(4,\cdot)$	91035.vr	204	yes	$1$	$1$	$e\left(\frac{31}{51}\right)$	$e\left(\frac{11}{51}\right)$	$e\left(\frac{14}{17}\right)$	$e\left(\frac{9}{68}\right)$	$e\left(\frac{101}{102}\right)$	$e\left(\frac{22}{51}\right)$	$e\left(\frac{91}{102}\right)$	$e\left(\frac{151}{204}\right)$	$e\left(\frac{3}{68}\right)$	$e\left(\frac{61}{102}\right)$
$\chi_{91035}(8,\cdot)$	91035.rz	136	no	$1$	$1$	$e\left(\frac{7}{17}\right)$	$e\left(\frac{14}{17}\right)$	$e\left(\frac{4}{17}\right)$	$e\left(\frac{95}{136}\right)$	$e\left(\frac{67}{68}\right)$	$e\left(\frac{11}{17}\right)$	$e\left(\frac{57}{68}\right)$	$e\left(\frac{15}{136}\right)$	$e\left(\frac{9}{136}\right)$	$e\left(\frac{27}{68}\right)$
$\chi_{91035}(11,\cdot)$	91035.bba	816	no	$1$	$1$	$e\left(\frac{77}{136}\right)$	$e\left(\frac{9}{68}\right)$	$e\left(\frac{95}{136}\right)$	$e\left(\frac{635}{816}\right)$	$e\left(\frac{185}{204}\right)$	$e\left(\frac{9}{34}\right)$	$e\left(\frac{211}{408}\right)$	$e\left(\frac{281}{816}\right)$	$e\left(\frac{19}{816}\right)$	$e\left(\frac{193}{408}\right)$
$\chi_{91035}(13,\cdot)$	91035.ul	204	yes	$1$	$1$	$e\left(\frac{203}{204}\right)$	$e\left(\frac{101}{102}\right)$	$e\left(\frac{67}{68}\right)$	$e\left(\frac{185}{204}\right)$	$e\left(\frac{133}{204}\right)$	$e\left(\frac{50}{51}\right)$	$e\left(\frac{3}{34}\right)$	$e\left(\frac{46}{51}\right)$	$e\left(\frac{31}{51}\right)$	$e\left(\frac{11}{17}\right)$
$\chi_{91035}(16,\cdot)$	91035.rn	102	no	$1$	$1$	$e\left(\frac{11}{51}\right)$	$e\left(\frac{22}{51}\right)$	$e\left(\frac{11}{17}\right)$	$e\left(\frac{9}{34}\right)$	$e\left(\frac{50}{51}\right)$	$e\left(\frac{44}{51}\right)$	$e\left(\frac{40}{51}\right)$	$e\left(\frac{49}{102}\right)$	$e\left(\frac{3}{34}\right)$	$e\left(\frac{10}{51}\right)$
$\chi_{91035}(19,\cdot)$	91035.yg	408	no	$-1$	$1$	$e\left(\frac{193}{204}\right)$	$e\left(\frac{91}{102}\right)$	$e\left(\frac{57}{68}\right)$	$e\left(\frac{211}{408}\right)$	$e\left(\frac{3}{34}\right)$	$e\left(\frac{40}{51}\right)$	$e\left(\frac{181}{204}\right)$	$e\left(\frac{63}{136}\right)$	$e\left(\frac{263}{408}\right)$	$e\left(\frac{7}{204}\right)$
$\chi_{91035}(22,\cdot)$	91035.bbg	816	no	$1$	$1$	$e\left(\frac{151}{408}\right)$	$e\left(\frac{151}{204}\right)$	$e\left(\frac{15}{136}\right)$	$e\left(\frac{281}{816}\right)$	$e\left(\frac{46}{51}\right)$	$e\left(\frac{49}{102}\right)$	$e\left(\frac{63}{136}\right)$	$e\left(\frac{583}{816}\right)$	$e\left(\frac{37}{816}\right)$	$e\left(\frac{37}{136}\right)$
$\chi_{91035}(23,\cdot)$	91035.bbl	816	yes	$-1$	$1$	$e\left(\frac{3}{136}\right)$	$e\left(\frac{3}{68}\right)$	$e\left(\frac{9}{136}\right)$	$e\left(\frac{19}{816}\right)$	$e\left(\frac{31}{51}\right)$	$e\left(\frac{3}{34}\right)$	$e\left(\frac{263}{408}\right)$	$e\left(\frac{37}{816}\right)$	$e\left(\frac{743}{816}\right)$	$e\left(\frac{257}{408}\right)$
$\chi_{91035}(26,\cdot)$	91035.xn	408	no	$1$	$1$	$e\left(\frac{163}{204}\right)$	$e\left(\frac{61}{102}\right)$	$e\left(\frac{27}{68}\right)$	$e\left(\frac{193}{408}\right)$	$e\left(\frac{11}{17}\right)$	$e\left(\frac{10}{51}\right)$	$e\left(\frac{7}{204}\right)$	$e\left(\frac{37}{136}\right)$	$e\left(\frac{257}{408}\right)$	$e\left(\frac{91}{204}\right)$
$\chi_{91035}(29,\cdot)$	91035.baf	816	no	$1$	$1$	$e\left(\frac{401}{408}\right)$	$e\left(\frac{197}{204}\right)$	$e\left(\frac{129}{136}\right)$	$e\left(\frac{601}{816}\right)$	$e\left(\frac{185}{204}\right)$	$e\left(\frac{95}{102}\right)$	$e\left(\frac{59}{136}\right)$	$e\left(\frac{587}{816}\right)$	$e\left(\frac{665}{816}\right)$	$e\left(\frac{121}{136}\right)$
$\chi_{91035}(31,\cdot)$	91035.baq	816	no	$1$	$1$	$e\left(\frac{389}{408}\right)$	$e\left(\frac{185}{204}\right)$	$e\left(\frac{117}{136}\right)$	$e\left(\frac{207}{272}\right)$	$e\left(\frac{133}{204}\right)$	$e\left(\frac{83}{102}\right)$	$e\left(\frac{121}{408}\right)$	$e\left(\frac{583}{816}\right)$	$e\left(\frac{103}{272}\right)$	$e\left(\frac{247}{408}\right)$
$\chi_{91035}(32,\cdot)$	91035.ys	408	yes	$1$	$1$	$e\left(\frac{1}{51}\right)$	$e\left(\frac{2}{51}\right)$	$e\left(\frac{1}{17}\right)$	$e\left(\frac{113}{136}\right)$	$e\left(\frac{199}{204}\right)$	$e\left(\frac{4}{51}\right)$	$e\left(\frac{149}{204}\right)$	$e\left(\frac{347}{408}\right)$	$e\left(\frac{15}{136}\right)$	$e\left(\frac{203}{204}\right)$
$\chi_{91035}(37,\cdot)$	91035.zi	816	no	$1$	$1$	$e\left(\frac{11}{408}\right)$	$e\left(\frac{11}{204}\right)$	$e\left(\frac{11}{136}\right)$	$e\left(\frac{197}{816}\right)$	$e\left(\frac{12}{17}\right)$	$e\left(\frac{11}{102}\right)$	$e\left(\frac{329}{408}\right)$	$e\left(\frac{73}{272}\right)$	$e\left(\frac{145}{816}\right)$	$e\left(\frac{299}{408}\right)$
$\chi_{91035}(38,\cdot)$	91035.fq	12	no	$-1$	$1$	$-i$	$-1$	$i$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{12}\right)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$
$\chi_{91035}(41,\cdot)$	91035.bab	816	no	$-1$	$1$	$e\left(\frac{115}{408}\right)$	$e\left(\frac{115}{204}\right)$	$e\left(\frac{115}{136}\right)$	$e\left(\frac{239}{816}\right)$	$e\left(\frac{79}{204}\right)$	$e\left(\frac{13}{102}\right)$	$e\left(\frac{41}{136}\right)$	$e\left(\frac{469}{816}\right)$	$e\left(\frac{295}{816}\right)$	$e\left(\frac{91}{136}\right)$
$\chi_{91035}(43,\cdot)$	91035.xb	408	no	$-1$	$1$	$e\left(\frac{29}{102}\right)$	$e\left(\frac{29}{51}\right)$	$e\left(\frac{29}{34}\right)$	$e\left(\frac{317}{408}\right)$	$e\left(\frac{89}{204}\right)$	$e\left(\frac{7}{51}\right)$	$e\left(\frac{9}{68}\right)$	$e\left(\frac{25}{408}\right)$	$e\left(\frac{355}{408}\right)$	$e\left(\frac{49}{68}\right)$
$\chi_{91035}(44,\cdot)$	91035.bae	816	no	$1$	$1$	$e\left(\frac{71}{408}\right)$	$e\left(\frac{71}{204}\right)$	$e\left(\frac{71}{136}\right)$	$e\left(\frac{743}{816}\right)$	$e\left(\frac{61}{68}\right)$	$e\left(\frac{71}{102}\right)$	$e\left(\frac{167}{408}\right)$	$e\left(\frac{23}{272}\right)$	$e\left(\frac{55}{816}\right)$	$e\left(\frac{29}{408}\right)$
$\chi_{91035}(46,\cdot)$	91035.bak	816	no	$-1$	$1$	$e\left(\frac{337}{408}\right)$	$e\left(\frac{133}{204}\right)$	$e\left(\frac{65}{136}\right)$	$e\left(\frac{481}{816}\right)$	$e\left(\frac{41}{68}\right)$	$e\left(\frac{31}{102}\right)$	$e\left(\frac{241}{408}\right)$	$e\left(\frac{113}{272}\right)$	$e\left(\frac{761}{816}\right)$	$e\left(\frac{175}{408}\right)$
$\chi_{91035}(47,\cdot)$	91035.tu	204	yes	$-1$	$1$	$e\left(\frac{191}{204}\right)$	$e\left(\frac{89}{102}\right)$	$e\left(\frac{55}{68}\right)$	$e\left(\frac{65}{68}\right)$	$e\left(\frac{131}{204}\right)$	$e\left(\frac{38}{51}\right)$	$e\left(\frac{83}{102}\right)$	$e\left(\frac{91}{102}\right)$	$e\left(\frac{4}{17}\right)$	$e\left(\frac{59}{102}\right)$
$\chi_{91035}(52,\cdot)$	91035.vm	204	yes	$1$	$1$	$e\left(\frac{41}{68}\right)$	$e\left(\frac{7}{34}\right)$	$e\left(\frac{55}{68}\right)$	$e\left(\frac{2}{51}\right)$	$e\left(\frac{131}{204}\right)$	$e\left(\frac{7}{17}\right)$	$e\left(\frac{50}{51}\right)$	$e\left(\frac{131}{204}\right)$	$e\left(\frac{133}{204}\right)$	$e\left(\frac{25}{102}\right)$
$\chi_{91035}(53,\cdot)$	91035.wy	408	no	$1$	$1$	$e\left(\frac{49}{102}\right)$	$e\left(\frac{49}{51}\right)$	$e\left(\frac{15}{34}\right)$	$e\left(\frac{239}{408}\right)$	$e\left(\frac{47}{68}\right)$	$e\left(\frac{47}{51}\right)$	$e\left(\frac{89}{204}\right)$	$e\left(\frac{9}{136}\right)$	$e\left(\frac{397}{408}\right)$	$e\left(\frac{35}{204}\right)$
$\chi_{91035}(58,\cdot)$	91035.bbm	816	yes	$1$	$1$	$e\left(\frac{107}{136}\right)$	$e\left(\frac{39}{68}\right)$	$e\left(\frac{49}{136}\right)$	$e\left(\frac{247}{816}\right)$	$e\left(\frac{46}{51}\right)$	$e\left(\frac{5}{34}\right)$	$e\left(\frac{155}{408}\right)$	$e\left(\frac{73}{816}\right)$	$e\left(\frac{683}{816}\right)$	$e\left(\frac{281}{408}\right)$
$\chi_{91035}(59,\cdot)$	91035.xu	408	yes	$1$	$1$	$e\left(\frac{25}{204}\right)$	$e\left(\frac{25}{102}\right)$	$e\left(\frac{25}{68}\right)$	$e\left(\frac{39}{136}\right)$	$e\left(\frac{29}{102}\right)$	$e\left(\frac{25}{51}\right)$	$e\left(\frac{179}{204}\right)$	$e\left(\frac{167}{408}\right)$	$e\left(\frac{115}{136}\right)$	$e\left(\frac{83}{204}\right)$
$\chi_{91035}(61,\cdot)$	91035.baq	816	no	$1$	$1$	$e\left(\frac{103}{408}\right)$	$e\left(\frac{103}{204}\right)$	$e\left(\frac{103}{136}\right)$	$e\left(\frac{245}{272}\right)$	$e\left(\frac{95}{204}\right)$	$e\left(\frac{1}{102}\right)$	$e\left(\frac{203}{408}\right)$	$e\left(\frac{125}{816}\right)$	$e\left(\frac{93}{272}\right)$	$e\left(\frac{293}{408}\right)$
$\chi_{91035}(62,\cdot)$	91035.wh	272	no	$1$	$1$	$e\left(\frac{103}{136}\right)$	$e\left(\frac{35}{68}\right)$	$e\left(\frac{37}{136}\right)$	$e\left(\frac{89}{272}\right)$	$e\left(\frac{11}{17}\right)$	$e\left(\frac{1}{34}\right)$	$e\left(\frac{33}{136}\right)$	$e\left(\frac{23}{272}\right)$	$e\left(\frac{109}{272}\right)$	$e\left(\frac{55}{136}\right)$
$\chi_{91035}(64,\cdot)$	91035.ot	68	no	$1$	$1$	$e\left(\frac{14}{17}\right)$	$e\left(\frac{11}{17}\right)$	$e\left(\frac{8}{17}\right)$	$e\left(\frac{27}{68}\right)$	$e\left(\frac{33}{34}\right)$	$e\left(\frac{5}{17}\right)$	$e\left(\frac{23}{34}\right)$	$e\left(\frac{15}{68}\right)$	$e\left(\frac{9}{68}\right)$	$e\left(\frac{27}{34}\right)$
$\chi_{91035}(67,\cdot)$	91035.uv	204	yes	$-1$	$1$	$e\left(\frac{91}{204}\right)$	$e\left(\frac{91}{102}\right)$	$e\left(\frac{23}{68}\right)$	$e\left(\frac{19}{34}\right)$	$e\left(\frac{1}{204}\right)$	$e\left(\frac{40}{51}\right)$	$e\left(\frac{31}{102}\right)$	$e\left(\frac{1}{204}\right)$	$e\left(\frac{41}{68}\right)$	$e\left(\frac{23}{51}\right)$
$\chi_{91035}(71,\cdot)$	91035.wl	272	no	$1$	$1$	$e\left(\frac{3}{136}\right)$	$e\left(\frac{3}{68}\right)$	$e\left(\frac{9}{136}\right)$	$e\left(\frac{63}{272}\right)$	$e\left(\frac{13}{68}\right)$	$e\left(\frac{3}{34}\right)$	$e\left(\frac{31}{136}\right)$	$e\left(\frac{69}{272}\right)$	$e\left(\frac{55}{272}\right)$	$e\left(\frac{29}{136}\right)$
$\chi_{91035}(73,\cdot)$	91035.zj	816	no	$-1$	$1$	$e\left(\frac{139}{408}\right)$	$e\left(\frac{139}{204}\right)$	$e\left(\frac{3}{136}\right)$	$e\left(\frac{505}{816}\right)$	$e\left(\frac{11}{17}\right)$	$e\left(\frac{37}{102}\right)$	$e\left(\frac{337}{408}\right)$	$e\left(\frac{261}{272}\right)$	$e\left(\frac{701}{816}\right)$	$e\left(\frac{403}{408}\right)$
$\chi_{91035}(74,\cdot)$	91035.bau	816	yes	$1$	$1$	$e\left(\frac{113}{136}\right)$	$e\left(\frac{45}{68}\right)$	$e\left(\frac{67}{136}\right)$	$e\left(\frac{659}{816}\right)$	$e\left(\frac{143}{204}\right)$	$e\left(\frac{11}{34}\right)$	$e\left(\frac{307}{408}\right)$	$e\left(\frac{521}{816}\right)$	$e\left(\frac{163}{816}\right)$	$e\left(\frac{217}{408}\right)$

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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	$91035$
Structure	\(C_{2}\times C_{2}\times C_{12}\times C_{816}\)
Order	$39168$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(13\)	\(16\)	\(19\)	\(22\)	\(23\)	\(26\)
\(\chi_{91035}(1,\cdot)\)	91035.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{91035}(2,\cdot)\)	91035.ys	408	yes	\(1\)	\(1\)	\(e\left(\frac{41}{51}\right)\)	\(e\left(\frac{31}{51}\right)\)	\(e\left(\frac{7}{17}\right)\)	\(e\left(\frac{77}{136}\right)\)	\(e\left(\frac{203}{204}\right)\)	\(e\left(\frac{11}{51}\right)\)	\(e\left(\frac{193}{204}\right)\)	\(e\left(\frac{151}{408}\right)\)	\(e\left(\frac{3}{136}\right)\)	\(e\left(\frac{163}{204}\right)\)
\(\chi_{91035}(4,\cdot)\)	91035.vr	204	yes	\(1\)	\(1\)	\(e\left(\frac{31}{51}\right)\)	\(e\left(\frac{11}{51}\right)\)	\(e\left(\frac{14}{17}\right)\)	\(e\left(\frac{9}{68}\right)\)	\(e\left(\frac{101}{102}\right)\)	\(e\left(\frac{22}{51}\right)\)	\(e\left(\frac{91}{102}\right)\)	\(e\left(\frac{151}{204}\right)\)	\(e\left(\frac{3}{68}\right)\)	\(e\left(\frac{61}{102}\right)\)
\(\chi_{91035}(8,\cdot)\)	91035.rz	136	no	\(1\)	\(1\)	\(e\left(\frac{7}{17}\right)\)	\(e\left(\frac{14}{17}\right)\)	\(e\left(\frac{4}{17}\right)\)	\(e\left(\frac{95}{136}\right)\)	\(e\left(\frac{67}{68}\right)\)	\(e\left(\frac{11}{17}\right)\)	\(e\left(\frac{57}{68}\right)\)	\(e\left(\frac{15}{136}\right)\)	\(e\left(\frac{9}{136}\right)\)	\(e\left(\frac{27}{68}\right)\)
\(\chi_{91035}(11,\cdot)\)	91035.bba	816	no	\(1\)	\(1\)	\(e\left(\frac{77}{136}\right)\)	\(e\left(\frac{9}{68}\right)\)	\(e\left(\frac{95}{136}\right)\)	\(e\left(\frac{635}{816}\right)\)	\(e\left(\frac{185}{204}\right)\)	\(e\left(\frac{9}{34}\right)\)	\(e\left(\frac{211}{408}\right)\)	\(e\left(\frac{281}{816}\right)\)	\(e\left(\frac{19}{816}\right)\)	\(e\left(\frac{193}{408}\right)\)
\(\chi_{91035}(13,\cdot)\)	91035.ul	204	yes	\(1\)	\(1\)	\(e\left(\frac{203}{204}\right)\)	\(e\left(\frac{101}{102}\right)\)	\(e\left(\frac{67}{68}\right)\)	\(e\left(\frac{185}{204}\right)\)	\(e\left(\frac{133}{204}\right)\)	\(e\left(\frac{50}{51}\right)\)	\(e\left(\frac{3}{34}\right)\)	\(e\left(\frac{46}{51}\right)\)	\(e\left(\frac{31}{51}\right)\)	\(e\left(\frac{11}{17}\right)\)
\(\chi_{91035}(16,\cdot)\)	91035.rn	102	no	\(1\)	\(1\)	\(e\left(\frac{11}{51}\right)\)	\(e\left(\frac{22}{51}\right)\)	\(e\left(\frac{11}{17}\right)\)	\(e\left(\frac{9}{34}\right)\)	\(e\left(\frac{50}{51}\right)\)	\(e\left(\frac{44}{51}\right)\)	\(e\left(\frac{40}{51}\right)\)	\(e\left(\frac{49}{102}\right)\)	\(e\left(\frac{3}{34}\right)\)	\(e\left(\frac{10}{51}\right)\)
\(\chi_{91035}(19,\cdot)\)	91035.yg	408	no	\(-1\)	\(1\)	\(e\left(\frac{193}{204}\right)\)	\(e\left(\frac{91}{102}\right)\)	\(e\left(\frac{57}{68}\right)\)	\(e\left(\frac{211}{408}\right)\)	\(e\left(\frac{3}{34}\right)\)	\(e\left(\frac{40}{51}\right)\)	\(e\left(\frac{181}{204}\right)\)	\(e\left(\frac{63}{136}\right)\)	\(e\left(\frac{263}{408}\right)\)	\(e\left(\frac{7}{204}\right)\)
\(\chi_{91035}(22,\cdot)\)	91035.bbg	816	no	\(1\)	\(1\)	\(e\left(\frac{151}{408}\right)\)	\(e\left(\frac{151}{204}\right)\)	\(e\left(\frac{15}{136}\right)\)	\(e\left(\frac{281}{816}\right)\)	\(e\left(\frac{46}{51}\right)\)	\(e\left(\frac{49}{102}\right)\)	\(e\left(\frac{63}{136}\right)\)	\(e\left(\frac{583}{816}\right)\)	\(e\left(\frac{37}{816}\right)\)	\(e\left(\frac{37}{136}\right)\)
\(\chi_{91035}(23,\cdot)\)	91035.bbl	816	yes	\(-1\)	\(1\)	\(e\left(\frac{3}{136}\right)\)	\(e\left(\frac{3}{68}\right)\)	\(e\left(\frac{9}{136}\right)\)	\(e\left(\frac{19}{816}\right)\)	\(e\left(\frac{31}{51}\right)\)	\(e\left(\frac{3}{34}\right)\)	\(e\left(\frac{263}{408}\right)\)	\(e\left(\frac{37}{816}\right)\)	\(e\left(\frac{743}{816}\right)\)	\(e\left(\frac{257}{408}\right)\)
\(\chi_{91035}(26,\cdot)\)	91035.xn	408	no	\(1\)	\(1\)	\(e\left(\frac{163}{204}\right)\)	\(e\left(\frac{61}{102}\right)\)	\(e\left(\frac{27}{68}\right)\)	\(e\left(\frac{193}{408}\right)\)	\(e\left(\frac{11}{17}\right)\)	\(e\left(\frac{10}{51}\right)\)	\(e\left(\frac{7}{204}\right)\)	\(e\left(\frac{37}{136}\right)\)	\(e\left(\frac{257}{408}\right)\)	\(e\left(\frac{91}{204}\right)\)
\(\chi_{91035}(29,\cdot)\)	91035.baf	816	no	\(1\)	\(1\)	\(e\left(\frac{401}{408}\right)\)	\(e\left(\frac{197}{204}\right)\)	\(e\left(\frac{129}{136}\right)\)	\(e\left(\frac{601}{816}\right)\)	\(e\left(\frac{185}{204}\right)\)	\(e\left(\frac{95}{102}\right)\)	\(e\left(\frac{59}{136}\right)\)	\(e\left(\frac{587}{816}\right)\)	\(e\left(\frac{665}{816}\right)\)	\(e\left(\frac{121}{136}\right)\)
\(\chi_{91035}(31,\cdot)\)	91035.baq	816	no	\(1\)	\(1\)	\(e\left(\frac{389}{408}\right)\)	\(e\left(\frac{185}{204}\right)\)	\(e\left(\frac{117}{136}\right)\)	\(e\left(\frac{207}{272}\right)\)	\(e\left(\frac{133}{204}\right)\)	\(e\left(\frac{83}{102}\right)\)	\(e\left(\frac{121}{408}\right)\)	\(e\left(\frac{583}{816}\right)\)	\(e\left(\frac{103}{272}\right)\)	\(e\left(\frac{247}{408}\right)\)
\(\chi_{91035}(32,\cdot)\)	91035.ys	408	yes	\(1\)	\(1\)	\(e\left(\frac{1}{51}\right)\)	\(e\left(\frac{2}{51}\right)\)	\(e\left(\frac{1}{17}\right)\)	\(e\left(\frac{113}{136}\right)\)	\(e\left(\frac{199}{204}\right)\)	\(e\left(\frac{4}{51}\right)\)	\(e\left(\frac{149}{204}\right)\)	\(e\left(\frac{347}{408}\right)\)	\(e\left(\frac{15}{136}\right)\)	\(e\left(\frac{203}{204}\right)\)
\(\chi_{91035}(37,\cdot)\)	91035.zi	816	no	\(1\)	\(1\)	\(e\left(\frac{11}{408}\right)\)	\(e\left(\frac{11}{204}\right)\)	\(e\left(\frac{11}{136}\right)\)	\(e\left(\frac{197}{816}\right)\)	\(e\left(\frac{12}{17}\right)\)	\(e\left(\frac{11}{102}\right)\)	\(e\left(\frac{329}{408}\right)\)	\(e\left(\frac{73}{272}\right)\)	\(e\left(\frac{145}{816}\right)\)	\(e\left(\frac{299}{408}\right)\)
\(\chi_{91035}(38,\cdot)\)	91035.fq	12	no	\(-1\)	\(1\)	\(-i\)	\(-1\)	\(i\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{6}\right)\)
\(\chi_{91035}(41,\cdot)\)	91035.bab	816	no	\(-1\)	\(1\)	\(e\left(\frac{115}{408}\right)\)	\(e\left(\frac{115}{204}\right)\)	\(e\left(\frac{115}{136}\right)\)	\(e\left(\frac{239}{816}\right)\)	\(e\left(\frac{79}{204}\right)\)	\(e\left(\frac{13}{102}\right)\)	\(e\left(\frac{41}{136}\right)\)	\(e\left(\frac{469}{816}\right)\)	\(e\left(\frac{295}{816}\right)\)	\(e\left(\frac{91}{136}\right)\)
\(\chi_{91035}(43,\cdot)\)	91035.xb	408	no	\(-1\)	\(1\)	\(e\left(\frac{29}{102}\right)\)	\(e\left(\frac{29}{51}\right)\)	\(e\left(\frac{29}{34}\right)\)	\(e\left(\frac{317}{408}\right)\)	\(e\left(\frac{89}{204}\right)\)	\(e\left(\frac{7}{51}\right)\)	\(e\left(\frac{9}{68}\right)\)	\(e\left(\frac{25}{408}\right)\)	\(e\left(\frac{355}{408}\right)\)	\(e\left(\frac{49}{68}\right)\)
\(\chi_{91035}(44,\cdot)\)	91035.bae	816	no	\(1\)	\(1\)	\(e\left(\frac{71}{408}\right)\)	\(e\left(\frac{71}{204}\right)\)	\(e\left(\frac{71}{136}\right)\)	\(e\left(\frac{743}{816}\right)\)	\(e\left(\frac{61}{68}\right)\)	\(e\left(\frac{71}{102}\right)\)	\(e\left(\frac{167}{408}\right)\)	\(e\left(\frac{23}{272}\right)\)	\(e\left(\frac{55}{816}\right)\)	\(e\left(\frac{29}{408}\right)\)
\(\chi_{91035}(46,\cdot)\)	91035.bak	816	no	\(-1\)	\(1\)	\(e\left(\frac{337}{408}\right)\)	\(e\left(\frac{133}{204}\right)\)	\(e\left(\frac{65}{136}\right)\)	\(e\left(\frac{481}{816}\right)\)	\(e\left(\frac{41}{68}\right)\)	\(e\left(\frac{31}{102}\right)\)	\(e\left(\frac{241}{408}\right)\)	\(e\left(\frac{113}{272}\right)\)	\(e\left(\frac{761}{816}\right)\)	\(e\left(\frac{175}{408}\right)\)
\(\chi_{91035}(47,\cdot)\)	91035.tu	204	yes	\(-1\)	\(1\)	\(e\left(\frac{191}{204}\right)\)	\(e\left(\frac{89}{102}\right)\)	\(e\left(\frac{55}{68}\right)\)	\(e\left(\frac{65}{68}\right)\)	\(e\left(\frac{131}{204}\right)\)	\(e\left(\frac{38}{51}\right)\)	\(e\left(\frac{83}{102}\right)\)	\(e\left(\frac{91}{102}\right)\)	\(e\left(\frac{4}{17}\right)\)	\(e\left(\frac{59}{102}\right)\)
\(\chi_{91035}(52,\cdot)\)	91035.vm	204	yes	\(1\)	\(1\)	\(e\left(\frac{41}{68}\right)\)	\(e\left(\frac{7}{34}\right)\)	\(e\left(\frac{55}{68}\right)\)	\(e\left(\frac{2}{51}\right)\)	\(e\left(\frac{131}{204}\right)\)	\(e\left(\frac{7}{17}\right)\)	\(e\left(\frac{50}{51}\right)\)	\(e\left(\frac{131}{204}\right)\)	\(e\left(\frac{133}{204}\right)\)	\(e\left(\frac{25}{102}\right)\)
\(\chi_{91035}(53,\cdot)\)	91035.wy	408	no	\(1\)	\(1\)	\(e\left(\frac{49}{102}\right)\)	\(e\left(\frac{49}{51}\right)\)	\(e\left(\frac{15}{34}\right)\)	\(e\left(\frac{239}{408}\right)\)	\(e\left(\frac{47}{68}\right)\)	\(e\left(\frac{47}{51}\right)\)	\(e\left(\frac{89}{204}\right)\)	\(e\left(\frac{9}{136}\right)\)	\(e\left(\frac{397}{408}\right)\)	\(e\left(\frac{35}{204}\right)\)
\(\chi_{91035}(58,\cdot)\)	91035.bbm	816	yes	\(1\)	\(1\)	\(e\left(\frac{107}{136}\right)\)	\(e\left(\frac{39}{68}\right)\)	\(e\left(\frac{49}{136}\right)\)	\(e\left(\frac{247}{816}\right)\)	\(e\left(\frac{46}{51}\right)\)	\(e\left(\frac{5}{34}\right)\)	\(e\left(\frac{155}{408}\right)\)	\(e\left(\frac{73}{816}\right)\)	\(e\left(\frac{683}{816}\right)\)	\(e\left(\frac{281}{408}\right)\)
\(\chi_{91035}(59,\cdot)\)	91035.xu	408	yes	\(1\)	\(1\)	\(e\left(\frac{25}{204}\right)\)	\(e\left(\frac{25}{102}\right)\)	\(e\left(\frac{25}{68}\right)\)	\(e\left(\frac{39}{136}\right)\)	\(e\left(\frac{29}{102}\right)\)	\(e\left(\frac{25}{51}\right)\)	\(e\left(\frac{179}{204}\right)\)	\(e\left(\frac{167}{408}\right)\)	\(e\left(\frac{115}{136}\right)\)	\(e\left(\frac{83}{204}\right)\)
\(\chi_{91035}(61,\cdot)\)	91035.baq	816	no	\(1\)	\(1\)	\(e\left(\frac{103}{408}\right)\)	\(e\left(\frac{103}{204}\right)\)	\(e\left(\frac{103}{136}\right)\)	\(e\left(\frac{245}{272}\right)\)	\(e\left(\frac{95}{204}\right)\)	\(e\left(\frac{1}{102}\right)\)	\(e\left(\frac{203}{408}\right)\)	\(e\left(\frac{125}{816}\right)\)	\(e\left(\frac{93}{272}\right)\)	\(e\left(\frac{293}{408}\right)\)
\(\chi_{91035}(62,\cdot)\)	91035.wh	272	no	\(1\)	\(1\)	\(e\left(\frac{103}{136}\right)\)	\(e\left(\frac{35}{68}\right)\)	\(e\left(\frac{37}{136}\right)\)	\(e\left(\frac{89}{272}\right)\)	\(e\left(\frac{11}{17}\right)\)	\(e\left(\frac{1}{34}\right)\)	\(e\left(\frac{33}{136}\right)\)	\(e\left(\frac{23}{272}\right)\)	\(e\left(\frac{109}{272}\right)\)	\(e\left(\frac{55}{136}\right)\)
\(\chi_{91035}(64,\cdot)\)	91035.ot	68	no	\(1\)	\(1\)	\(e\left(\frac{14}{17}\right)\)	\(e\left(\frac{11}{17}\right)\)	\(e\left(\frac{8}{17}\right)\)	\(e\left(\frac{27}{68}\right)\)	\(e\left(\frac{33}{34}\right)\)	\(e\left(\frac{5}{17}\right)\)	\(e\left(\frac{23}{34}\right)\)	\(e\left(\frac{15}{68}\right)\)	\(e\left(\frac{9}{68}\right)\)	\(e\left(\frac{27}{34}\right)\)
\(\chi_{91035}(67,\cdot)\)	91035.uv	204	yes	\(-1\)	\(1\)	\(e\left(\frac{91}{204}\right)\)	\(e\left(\frac{91}{102}\right)\)	\(e\left(\frac{23}{68}\right)\)	\(e\left(\frac{19}{34}\right)\)	\(e\left(\frac{1}{204}\right)\)	\(e\left(\frac{40}{51}\right)\)	\(e\left(\frac{31}{102}\right)\)	\(e\left(\frac{1}{204}\right)\)	\(e\left(\frac{41}{68}\right)\)	\(e\left(\frac{23}{51}\right)\)
\(\chi_{91035}(71,\cdot)\)	91035.wl	272	no	\(1\)	\(1\)	\(e\left(\frac{3}{136}\right)\)	\(e\left(\frac{3}{68}\right)\)	\(e\left(\frac{9}{136}\right)\)	\(e\left(\frac{63}{272}\right)\)	\(e\left(\frac{13}{68}\right)\)	\(e\left(\frac{3}{34}\right)\)	\(e\left(\frac{31}{136}\right)\)	\(e\left(\frac{69}{272}\right)\)	\(e\left(\frac{55}{272}\right)\)	\(e\left(\frac{29}{136}\right)\)
\(\chi_{91035}(73,\cdot)\)	91035.zj	816	no	\(-1\)	\(1\)	\(e\left(\frac{139}{408}\right)\)	\(e\left(\frac{139}{204}\right)\)	\(e\left(\frac{3}{136}\right)\)	\(e\left(\frac{505}{816}\right)\)	\(e\left(\frac{11}{17}\right)\)	\(e\left(\frac{37}{102}\right)\)	\(e\left(\frac{337}{408}\right)\)	\(e\left(\frac{261}{272}\right)\)	\(e\left(\frac{701}{816}\right)\)	\(e\left(\frac{403}{408}\right)\)
\(\chi_{91035}(74,\cdot)\)	91035.bau	816	yes	\(1\)	\(1\)	\(e\left(\frac{113}{136}\right)\)	\(e\left(\frac{45}{68}\right)\)	\(e\left(\frac{67}{136}\right)\)	\(e\left(\frac{659}{816}\right)\)	\(e\left(\frac{143}{204}\right)\)	\(e\left(\frac{11}{34}\right)\)	\(e\left(\frac{307}{408}\right)\)	\(e\left(\frac{521}{816}\right)\)	\(e\left(\frac{163}{816}\right)\)	\(e\left(\frac{217}{408}\right)\)

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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.