LMFDB - Group of Dirichlet characters of modulus 900081

Show commands: PariGP / SageMath

sage: H = DirichletGroup(900081)

pari: g = idealstar(,900081,2)

Character group

sage: G.order() pari: g.no
Order	=	471744
sage: H.invariants() pari: g.cyc
Structure	=	$C_{6}\times C_{6}\times C_{12}\times C_{1092}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{900081}(100010,\cdot)$, $\chi_{900081}(293905,\cdot)$, $\chi_{900081}(830845,\cdot)$, $\chi_{900081}(189190,\cdot)$

First 32 of 471744 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	$-1$	$1$	$2$	$4$	$5$	$8$	$10$	$11$	$16$	$17$	$19$	$20$
$\chi_{900081}(1,\cdot)$	900081.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{900081}(2,\cdot)$	900081.inl	1092	yes	$-1$	$1$	$e\left(\frac{215}{273}\right)$	$e\left(\frac{157}{273}\right)$	$e\left(\frac{40}{91}\right)$	$e\left(\frac{33}{91}\right)$	$e\left(\frac{62}{273}\right)$	$e\left(\frac{895}{1092}\right)$	$e\left(\frac{41}{273}\right)$	$e\left(\frac{27}{91}\right)$	$e\left(\frac{25}{156}\right)$	$e\left(\frac{4}{273}\right)$
$\chi_{900081}(4,\cdot)$	900081.hvl	546	yes	$1$	$1$	$e\left(\frac{157}{273}\right)$	$e\left(\frac{41}{273}\right)$	$e\left(\frac{80}{91}\right)$	$e\left(\frac{66}{91}\right)$	$e\left(\frac{124}{273}\right)$	$e\left(\frac{349}{546}\right)$	$e\left(\frac{82}{273}\right)$	$e\left(\frac{54}{91}\right)$	$e\left(\frac{25}{78}\right)$	$e\left(\frac{8}{273}\right)$
$\chi_{900081}(5,\cdot)$	900081.jrw	1092	yes	$1$	$1$	$e\left(\frac{40}{91}\right)$	$e\left(\frac{80}{91}\right)$	$e\left(\frac{517}{546}\right)$	$e\left(\frac{29}{91}\right)$	$e\left(\frac{211}{546}\right)$	$e\left(\frac{321}{364}\right)$	$e\left(\frac{69}{91}\right)$	$e\left(\frac{283}{546}\right)$	$e\left(\frac{37}{52}\right)$	$e\left(\frac{451}{546}\right)$
$\chi_{900081}(8,\cdot)$	900081.hkh	364	no	$-1$	$1$	$e\left(\frac{33}{91}\right)$	$e\left(\frac{66}{91}\right)$	$e\left(\frac{29}{91}\right)$	$e\left(\frac{8}{91}\right)$	$e\left(\frac{62}{91}\right)$	$e\left(\frac{167}{364}\right)$	$e\left(\frac{41}{91}\right)$	$e\left(\frac{81}{91}\right)$	$e\left(\frac{25}{52}\right)$	$e\left(\frac{4}{91}\right)$
$\chi_{900081}(10,\cdot)$	900081.huf	546	no	$-1$	$1$	$e\left(\frac{62}{273}\right)$	$e\left(\frac{124}{273}\right)$	$e\left(\frac{211}{546}\right)$	$e\left(\frac{62}{91}\right)$	$e\left(\frac{335}{546}\right)$	$e\left(\frac{383}{546}\right)$	$e\left(\frac{248}{273}\right)$	$e\left(\frac{445}{546}\right)$	$e\left(\frac{34}{39}\right)$	$e\left(\frac{153}{182}\right)$
$\chi_{900081}(11,\cdot)$	900081.jgi	1092	yes	$1$	$1$	$e\left(\frac{895}{1092}\right)$	$e\left(\frac{349}{546}\right)$	$e\left(\frac{321}{364}\right)$	$e\left(\frac{167}{364}\right)$	$e\left(\frac{383}{546}\right)$	$e\left(\frac{135}{364}\right)$	$e\left(\frac{76}{273}\right)$	$e\left(\frac{179}{273}\right)$	$e\left(\frac{79}{156}\right)$	$e\left(\frac{569}{1092}\right)$
$\chi_{900081}(16,\cdot)$	900081.his	273	yes	$1$	$1$	$e\left(\frac{41}{273}\right)$	$e\left(\frac{82}{273}\right)$	$e\left(\frac{69}{91}\right)$	$e\left(\frac{41}{91}\right)$	$e\left(\frac{248}{273}\right)$	$e\left(\frac{76}{273}\right)$	$e\left(\frac{164}{273}\right)$	$e\left(\frac{17}{91}\right)$	$e\left(\frac{25}{39}\right)$	$e\left(\frac{16}{273}\right)$
$\chi_{900081}(17,\cdot)$	900081.ifw	546	no	$1$	$1$	$e\left(\frac{27}{91}\right)$	$e\left(\frac{54}{91}\right)$	$e\left(\frac{283}{546}\right)$	$e\left(\frac{81}{91}\right)$	$e\left(\frac{445}{546}\right)$	$e\left(\frac{179}{273}\right)$	$e\left(\frac{17}{91}\right)$	$e\left(\frac{265}{273}\right)$	$e\left(\frac{6}{13}\right)$	$e\left(\frac{61}{546}\right)$
$\chi_{900081}(19,\cdot)$	900081.gmi	156	no	$1$	$1$	$e\left(\frac{25}{156}\right)$	$e\left(\frac{25}{78}\right)$	$e\left(\frac{37}{52}\right)$	$e\left(\frac{25}{52}\right)$	$e\left(\frac{34}{39}\right)$	$e\left(\frac{79}{156}\right)$	$e\left(\frac{25}{39}\right)$	$e\left(\frac{6}{13}\right)$	$e\left(\frac{127}{156}\right)$	$e\left(\frac{5}{156}\right)$
$\chi_{900081}(20,\cdot)$	900081.ilv	1092	yes	$1$	$1$	$e\left(\frac{4}{273}\right)$	$e\left(\frac{8}{273}\right)$	$e\left(\frac{451}{546}\right)$	$e\left(\frac{4}{91}\right)$	$e\left(\frac{153}{182}\right)$	$e\left(\frac{569}{1092}\right)$	$e\left(\frac{16}{273}\right)$	$e\left(\frac{61}{546}\right)$	$e\left(\frac{5}{156}\right)$	$e\left(\frac{467}{546}\right)$
$\chi_{900081}(22,\cdot)$	900081.fpz	84	yes	$-1$	$1$	$e\left(\frac{17}{28}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{23}{28}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{15}{28}\right)$
$\chi_{900081}(23,\cdot)$	900081.jiy	1092	yes	$1$	$1$	$e\left(\frac{229}{1092}\right)$	$e\left(\frac{229}{546}\right)$	$e\left(\frac{841}{1092}\right)$	$e\left(\frac{229}{364}\right)$	$e\left(\frac{535}{546}\right)$	$e\left(\frac{8}{91}\right)$	$e\left(\frac{229}{273}\right)$	$e\left(\frac{73}{182}\right)$	$e\left(\frac{11}{78}\right)$	$e\left(\frac{69}{364}\right)$
$\chi_{900081}(25,\cdot)$	900081.iep	546	yes	$1$	$1$	$e\left(\frac{80}{91}\right)$	$e\left(\frac{69}{91}\right)$	$e\left(\frac{244}{273}\right)$	$e\left(\frac{58}{91}\right)$	$e\left(\frac{211}{273}\right)$	$e\left(\frac{139}{182}\right)$	$e\left(\frac{47}{91}\right)$	$e\left(\frac{10}{273}\right)$	$e\left(\frac{11}{26}\right)$	$e\left(\frac{178}{273}\right)$
$\chi_{900081}(29,\cdot)$	900081.irs	1092	yes	$1$	$1$	$e\left(\frac{87}{364}\right)$	$e\left(\frac{87}{182}\right)$	$e\left(\frac{97}{1092}\right)$	$e\left(\frac{261}{364}\right)$	$e\left(\frac{179}{546}\right)$	$e\left(\frac{145}{182}\right)$	$e\left(\frac{87}{91}\right)$	$e\left(\frac{523}{546}\right)$	$e\left(\frac{8}{39}\right)$	$e\left(\frac{619}{1092}\right)$
$\chi_{900081}(31,\cdot)$	900081.goc	156	no	$1$	$1$	$e\left(\frac{71}{156}\right)$	$e\left(\frac{71}{78}\right)$	$e\left(\frac{101}{156}\right)$	$e\left(\frac{19}{52}\right)$	$e\left(\frac{4}{39}\right)$	$e\left(\frac{59}{156}\right)$	$e\left(\frac{32}{39}\right)$	$e\left(\frac{22}{39}\right)$	$e\left(\frac{45}{52}\right)$	$e\left(\frac{29}{52}\right)$
$\chi_{900081}(32,\cdot)$	900081.inl	1092	yes	$-1$	$1$	$e\left(\frac{256}{273}\right)$	$e\left(\frac{239}{273}\right)$	$e\left(\frac{18}{91}\right)$	$e\left(\frac{74}{91}\right)$	$e\left(\frac{37}{273}\right)$	$e\left(\frac{107}{1092}\right)$	$e\left(\frac{205}{273}\right)$	$e\left(\frac{44}{91}\right)$	$e\left(\frac{125}{156}\right)$	$e\left(\frac{20}{273}\right)$
$\chi_{900081}(34,\cdot)$	900081.iml	1092	yes	$-1$	$1$	$e\left(\frac{23}{273}\right)$	$e\left(\frac{46}{273}\right)$	$e\left(\frac{523}{546}\right)$	$e\left(\frac{23}{91}\right)$	$e\left(\frac{23}{546}\right)$	$e\left(\frac{173}{364}\right)$	$e\left(\frac{92}{273}\right)$	$e\left(\frac{73}{273}\right)$	$e\left(\frac{97}{156}\right)$	$e\left(\frac{23}{182}\right)$
$\chi_{900081}(37,\cdot)$	900081.ite	1092	no	$-1$	$1$	$e\left(\frac{87}{364}\right)$	$e\left(\frac{87}{182}\right)$	$e\left(\frac{97}{1092}\right)$	$e\left(\frac{261}{364}\right)$	$e\left(\frac{179}{546}\right)$	$e\left(\frac{415}{1092}\right)$	$e\left(\frac{87}{91}\right)$	$e\left(\frac{523}{546}\right)$	$e\left(\frac{41}{52}\right)$	$e\left(\frac{619}{1092}\right)$
$\chi_{900081}(38,\cdot)$	900081.iup	1092	yes	$-1$	$1$	$e\left(\frac{345}{364}\right)$	$e\left(\frac{163}{182}\right)$	$e\left(\frac{55}{364}\right)$	$e\left(\frac{307}{364}\right)$	$e\left(\frac{9}{91}\right)$	$e\left(\frac{89}{273}\right)$	$e\left(\frac{72}{91}\right)$	$e\left(\frac{69}{91}\right)$	$e\left(\frac{38}{39}\right)$	$e\left(\frac{17}{364}\right)$
$\chi_{900081}(40,\cdot)$	900081.igw	546	no	$-1$	$1$	$e\left(\frac{73}{91}\right)$	$e\left(\frac{55}{91}\right)$	$e\left(\frac{145}{546}\right)$	$e\left(\frac{37}{91}\right)$	$e\left(\frac{37}{546}\right)$	$e\left(\frac{31}{91}\right)$	$e\left(\frac{19}{91}\right)$	$e\left(\frac{223}{546}\right)$	$e\left(\frac{5}{26}\right)$	$e\left(\frac{475}{546}\right)$
$\chi_{900081}(41,\cdot)$	900081.imq	1092	yes	$1$	$1$	$e\left(\frac{50}{273}\right)$	$e\left(\frac{100}{273}\right)$	$e\left(\frac{223}{546}\right)$	$e\left(\frac{50}{91}\right)$	$e\left(\frac{323}{546}\right)$	$e\left(\frac{515}{1092}\right)$	$e\left(\frac{200}{273}\right)$	$e\left(\frac{535}{546}\right)$	$e\left(\frac{95}{156}\right)$	$e\left(\frac{141}{182}\right)$
$\chi_{900081}(43,\cdot)$	900081.jeh	1092	yes	$-1$	$1$	$e\left(\frac{745}{1092}\right)$	$e\left(\frac{199}{546}\right)$	$e\left(\frac{255}{364}\right)$	$e\left(\frac{17}{364}\right)$	$e\left(\frac{209}{546}\right)$	$e\left(\frac{151}{182}\right)$	$e\left(\frac{199}{273}\right)$	$e\left(\frac{80}{91}\right)$	$e\left(\frac{17}{26}\right)$	$e\left(\frac{71}{1092}\right)$
$\chi_{900081}(44,\cdot)$	900081.jgb	1092	no	$1$	$1$	$e\left(\frac{431}{1092}\right)$	$e\left(\frac{431}{546}\right)$	$e\left(\frac{277}{364}\right)$	$e\left(\frac{67}{364}\right)$	$e\left(\frac{85}{546}\right)$	$e\left(\frac{11}{1092}\right)$	$e\left(\frac{158}{273}\right)$	$e\left(\frac{68}{273}\right)$	$e\left(\frac{43}{52}\right)$	$e\left(\frac{601}{1092}\right)$
$\chi_{900081}(46,\cdot)$	900081.isj	1092	no	$-1$	$1$	$e\left(\frac{363}{364}\right)$	$e\left(\frac{181}{182}\right)$	$e\left(\frac{229}{1092}\right)$	$e\left(\frac{361}{364}\right)$	$e\left(\frac{113}{546}\right)$	$e\left(\frac{991}{1092}\right)$	$e\left(\frac{90}{91}\right)$	$e\left(\frac{127}{182}\right)$	$e\left(\frac{47}{156}\right)$	$e\left(\frac{223}{1092}\right)$
$\chi_{900081}(47,\cdot)$	900081.jkc	1092	yes	$-1$	$1$	$e\left(\frac{727}{1092}\right)$	$e\left(\frac{181}{546}\right)$	$e\left(\frac{137}{1092}\right)$	$e\left(\frac{363}{364}\right)$	$e\left(\frac{72}{91}\right)$	$e\left(\frac{209}{1092}\right)$	$e\left(\frac{181}{273}\right)$	$e\left(\frac{103}{182}\right)$	$e\left(\frac{85}{156}\right)$	$e\left(\frac{499}{1092}\right)$
$\chi_{900081}(50,\cdot)$	900081.bdx	12	no	$-1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{2}{3}\right)$
$\chi_{900081}(53,\cdot)$	900081.jin	1092	no	$1$	$1$	$e\left(\frac{19}{1092}\right)$	$e\left(\frac{19}{546}\right)$	$e\left(\frac{285}{364}\right)$	$e\left(\frac{19}{364}\right)$	$e\left(\frac{437}{546}\right)$	$e\left(\frac{335}{546}\right)$	$e\left(\frac{19}{273}\right)$	$e\left(\frac{317}{546}\right)$	$e\left(\frac{3}{13}\right)$	$e\left(\frac{893}{1092}\right)$
$\chi_{900081}(55,\cdot)$	900081.jmb	1092	no	$1$	$1$	$e\left(\frac{283}{1092}\right)$	$e\left(\frac{283}{546}\right)$	$e\left(\frac{905}{1092}\right)$	$e\left(\frac{283}{364}\right)$	$e\left(\frac{8}{91}\right)$	$e\left(\frac{23}{91}\right)$	$e\left(\frac{10}{273}\right)$	$e\left(\frac{95}{546}\right)$	$e\left(\frac{17}{78}\right)$	$e\left(\frac{379}{1092}\right)$
$\chi_{900081}(58,\cdot)$	900081.ixi	1092	yes	$-1$	$1$	$e\left(\frac{29}{1092}\right)$	$e\left(\frac{29}{546}\right)$	$e\left(\frac{577}{1092}\right)$	$e\left(\frac{29}{364}\right)$	$e\left(\frac{101}{182}\right)$	$e\left(\frac{673}{1092}\right)$	$e\left(\frac{29}{273}\right)$	$e\left(\frac{139}{546}\right)$	$e\left(\frac{19}{52}\right)$	$e\left(\frac{635}{1092}\right)$
$\chi_{900081}(59,\cdot)$	900081.jpr	1092	yes	$1$	$1$	$e\left(\frac{257}{546}\right)$	$e\left(\frac{257}{273}\right)$	$e\left(\frac{62}{91}\right)$	$e\left(\frac{75}{182}\right)$	$e\left(\frac{83}{546}\right)$	$e\left(\frac{773}{1092}\right)$	$e\left(\frac{241}{273}\right)$	$e\left(\frac{111}{182}\right)$	$e\left(\frac{29}{156}\right)$	$e\left(\frac{170}{273}\right)$
$\chi_{900081}(61,\cdot)$	900081.iri	1092	yes	$1$	$1$	$e\left(\frac{353}{364}\right)$	$e\left(\frac{171}{182}\right)$	$e\left(\frac{517}{1092}\right)$	$e\left(\frac{331}{364}\right)$	$e\left(\frac{121}{273}\right)$	$e\left(\frac{6}{91}\right)$	$e\left(\frac{80}{91}\right)$	$e\left(\frac{123}{182}\right)$	$e\left(\frac{5}{78}\right)$	$e\left(\frac{451}{1092}\right)$

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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	$900081$
Structure	\(C_{6}\times C_{6}\times C_{12}\times C_{1092}\)
Order	$471744$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(16\)	\(17\)	\(19\)	\(20\)
\(\chi_{900081}(1,\cdot)\)	900081.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{900081}(2,\cdot)\)	900081.inl	1092	yes	\(-1\)	\(1\)	\(e\left(\frac{215}{273}\right)\)	\(e\left(\frac{157}{273}\right)\)	\(e\left(\frac{40}{91}\right)\)	\(e\left(\frac{33}{91}\right)\)	\(e\left(\frac{62}{273}\right)\)	\(e\left(\frac{895}{1092}\right)\)	\(e\left(\frac{41}{273}\right)\)	\(e\left(\frac{27}{91}\right)\)	\(e\left(\frac{25}{156}\right)\)	\(e\left(\frac{4}{273}\right)\)
\(\chi_{900081}(4,\cdot)\)	900081.hvl	546	yes	\(1\)	\(1\)	\(e\left(\frac{157}{273}\right)\)	\(e\left(\frac{41}{273}\right)\)	\(e\left(\frac{80}{91}\right)\)	\(e\left(\frac{66}{91}\right)\)	\(e\left(\frac{124}{273}\right)\)	\(e\left(\frac{349}{546}\right)\)	\(e\left(\frac{82}{273}\right)\)	\(e\left(\frac{54}{91}\right)\)	\(e\left(\frac{25}{78}\right)\)	\(e\left(\frac{8}{273}\right)\)
\(\chi_{900081}(5,\cdot)\)	900081.jrw	1092	yes	\(1\)	\(1\)	\(e\left(\frac{40}{91}\right)\)	\(e\left(\frac{80}{91}\right)\)	\(e\left(\frac{517}{546}\right)\)	\(e\left(\frac{29}{91}\right)\)	\(e\left(\frac{211}{546}\right)\)	\(e\left(\frac{321}{364}\right)\)	\(e\left(\frac{69}{91}\right)\)	\(e\left(\frac{283}{546}\right)\)	\(e\left(\frac{37}{52}\right)\)	\(e\left(\frac{451}{546}\right)\)
\(\chi_{900081}(8,\cdot)\)	900081.hkh	364	no	\(-1\)	\(1\)	\(e\left(\frac{33}{91}\right)\)	\(e\left(\frac{66}{91}\right)\)	\(e\left(\frac{29}{91}\right)\)	\(e\left(\frac{8}{91}\right)\)	\(e\left(\frac{62}{91}\right)\)	\(e\left(\frac{167}{364}\right)\)	\(e\left(\frac{41}{91}\right)\)	\(e\left(\frac{81}{91}\right)\)	\(e\left(\frac{25}{52}\right)\)	\(e\left(\frac{4}{91}\right)\)
\(\chi_{900081}(10,\cdot)\)	900081.huf	546	no	\(-1\)	\(1\)	\(e\left(\frac{62}{273}\right)\)	\(e\left(\frac{124}{273}\right)\)	\(e\left(\frac{211}{546}\right)\)	\(e\left(\frac{62}{91}\right)\)	\(e\left(\frac{335}{546}\right)\)	\(e\left(\frac{383}{546}\right)\)	\(e\left(\frac{248}{273}\right)\)	\(e\left(\frac{445}{546}\right)\)	\(e\left(\frac{34}{39}\right)\)	\(e\left(\frac{153}{182}\right)\)
\(\chi_{900081}(11,\cdot)\)	900081.jgi	1092	yes	\(1\)	\(1\)	\(e\left(\frac{895}{1092}\right)\)	\(e\left(\frac{349}{546}\right)\)	\(e\left(\frac{321}{364}\right)\)	\(e\left(\frac{167}{364}\right)\)	\(e\left(\frac{383}{546}\right)\)	\(e\left(\frac{135}{364}\right)\)	\(e\left(\frac{76}{273}\right)\)	\(e\left(\frac{179}{273}\right)\)	\(e\left(\frac{79}{156}\right)\)	\(e\left(\frac{569}{1092}\right)\)
\(\chi_{900081}(16,\cdot)\)	900081.his	273	yes	\(1\)	\(1\)	\(e\left(\frac{41}{273}\right)\)	\(e\left(\frac{82}{273}\right)\)	\(e\left(\frac{69}{91}\right)\)	\(e\left(\frac{41}{91}\right)\)	\(e\left(\frac{248}{273}\right)\)	\(e\left(\frac{76}{273}\right)\)	\(e\left(\frac{164}{273}\right)\)	\(e\left(\frac{17}{91}\right)\)	\(e\left(\frac{25}{39}\right)\)	\(e\left(\frac{16}{273}\right)\)
\(\chi_{900081}(17,\cdot)\)	900081.ifw	546	no	\(1\)	\(1\)	\(e\left(\frac{27}{91}\right)\)	\(e\left(\frac{54}{91}\right)\)	\(e\left(\frac{283}{546}\right)\)	\(e\left(\frac{81}{91}\right)\)	\(e\left(\frac{445}{546}\right)\)	\(e\left(\frac{179}{273}\right)\)	\(e\left(\frac{17}{91}\right)\)	\(e\left(\frac{265}{273}\right)\)	\(e\left(\frac{6}{13}\right)\)	\(e\left(\frac{61}{546}\right)\)
\(\chi_{900081}(19,\cdot)\)	900081.gmi	156	no	\(1\)	\(1\)	\(e\left(\frac{25}{156}\right)\)	\(e\left(\frac{25}{78}\right)\)	\(e\left(\frac{37}{52}\right)\)	\(e\left(\frac{25}{52}\right)\)	\(e\left(\frac{34}{39}\right)\)	\(e\left(\frac{79}{156}\right)\)	\(e\left(\frac{25}{39}\right)\)	\(e\left(\frac{6}{13}\right)\)	\(e\left(\frac{127}{156}\right)\)	\(e\left(\frac{5}{156}\right)\)
\(\chi_{900081}(20,\cdot)\)	900081.ilv	1092	yes	\(1\)	\(1\)	\(e\left(\frac{4}{273}\right)\)	\(e\left(\frac{8}{273}\right)\)	\(e\left(\frac{451}{546}\right)\)	\(e\left(\frac{4}{91}\right)\)	\(e\left(\frac{153}{182}\right)\)	\(e\left(\frac{569}{1092}\right)\)	\(e\left(\frac{16}{273}\right)\)	\(e\left(\frac{61}{546}\right)\)	\(e\left(\frac{5}{156}\right)\)	\(e\left(\frac{467}{546}\right)\)
\(\chi_{900081}(22,\cdot)\)	900081.fpz	84	yes	\(-1\)	\(1\)	\(e\left(\frac{17}{28}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{23}{28}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{15}{28}\right)\)
\(\chi_{900081}(23,\cdot)\)	900081.jiy	1092	yes	\(1\)	\(1\)	\(e\left(\frac{229}{1092}\right)\)	\(e\left(\frac{229}{546}\right)\)	\(e\left(\frac{841}{1092}\right)\)	\(e\left(\frac{229}{364}\right)\)	\(e\left(\frac{535}{546}\right)\)	\(e\left(\frac{8}{91}\right)\)	\(e\left(\frac{229}{273}\right)\)	\(e\left(\frac{73}{182}\right)\)	\(e\left(\frac{11}{78}\right)\)	\(e\left(\frac{69}{364}\right)\)
\(\chi_{900081}(25,\cdot)\)	900081.iep	546	yes	\(1\)	\(1\)	\(e\left(\frac{80}{91}\right)\)	\(e\left(\frac{69}{91}\right)\)	\(e\left(\frac{244}{273}\right)\)	\(e\left(\frac{58}{91}\right)\)	\(e\left(\frac{211}{273}\right)\)	\(e\left(\frac{139}{182}\right)\)	\(e\left(\frac{47}{91}\right)\)	\(e\left(\frac{10}{273}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(e\left(\frac{178}{273}\right)\)
\(\chi_{900081}(29,\cdot)\)	900081.irs	1092	yes	\(1\)	\(1\)	\(e\left(\frac{87}{364}\right)\)	\(e\left(\frac{87}{182}\right)\)	\(e\left(\frac{97}{1092}\right)\)	\(e\left(\frac{261}{364}\right)\)	\(e\left(\frac{179}{546}\right)\)	\(e\left(\frac{145}{182}\right)\)	\(e\left(\frac{87}{91}\right)\)	\(e\left(\frac{523}{546}\right)\)	\(e\left(\frac{8}{39}\right)\)	\(e\left(\frac{619}{1092}\right)\)
\(\chi_{900081}(31,\cdot)\)	900081.goc	156	no	\(1\)	\(1\)	\(e\left(\frac{71}{156}\right)\)	\(e\left(\frac{71}{78}\right)\)	\(e\left(\frac{101}{156}\right)\)	\(e\left(\frac{19}{52}\right)\)	\(e\left(\frac{4}{39}\right)\)	\(e\left(\frac{59}{156}\right)\)	\(e\left(\frac{32}{39}\right)\)	\(e\left(\frac{22}{39}\right)\)	\(e\left(\frac{45}{52}\right)\)	\(e\left(\frac{29}{52}\right)\)
\(\chi_{900081}(32,\cdot)\)	900081.inl	1092	yes	\(-1\)	\(1\)	\(e\left(\frac{256}{273}\right)\)	\(e\left(\frac{239}{273}\right)\)	\(e\left(\frac{18}{91}\right)\)	\(e\left(\frac{74}{91}\right)\)	\(e\left(\frac{37}{273}\right)\)	\(e\left(\frac{107}{1092}\right)\)	\(e\left(\frac{205}{273}\right)\)	\(e\left(\frac{44}{91}\right)\)	\(e\left(\frac{125}{156}\right)\)	\(e\left(\frac{20}{273}\right)\)
\(\chi_{900081}(34,\cdot)\)	900081.iml	1092	yes	\(-1\)	\(1\)	\(e\left(\frac{23}{273}\right)\)	\(e\left(\frac{46}{273}\right)\)	\(e\left(\frac{523}{546}\right)\)	\(e\left(\frac{23}{91}\right)\)	\(e\left(\frac{23}{546}\right)\)	\(e\left(\frac{173}{364}\right)\)	\(e\left(\frac{92}{273}\right)\)	\(e\left(\frac{73}{273}\right)\)	\(e\left(\frac{97}{156}\right)\)	\(e\left(\frac{23}{182}\right)\)
\(\chi_{900081}(37,\cdot)\)	900081.ite	1092	no	\(-1\)	\(1\)	\(e\left(\frac{87}{364}\right)\)	\(e\left(\frac{87}{182}\right)\)	\(e\left(\frac{97}{1092}\right)\)	\(e\left(\frac{261}{364}\right)\)	\(e\left(\frac{179}{546}\right)\)	\(e\left(\frac{415}{1092}\right)\)	\(e\left(\frac{87}{91}\right)\)	\(e\left(\frac{523}{546}\right)\)	\(e\left(\frac{41}{52}\right)\)	\(e\left(\frac{619}{1092}\right)\)
\(\chi_{900081}(38,\cdot)\)	900081.iup	1092	yes	\(-1\)	\(1\)	\(e\left(\frac{345}{364}\right)\)	\(e\left(\frac{163}{182}\right)\)	\(e\left(\frac{55}{364}\right)\)	\(e\left(\frac{307}{364}\right)\)	\(e\left(\frac{9}{91}\right)\)	\(e\left(\frac{89}{273}\right)\)	\(e\left(\frac{72}{91}\right)\)	\(e\left(\frac{69}{91}\right)\)	\(e\left(\frac{38}{39}\right)\)	\(e\left(\frac{17}{364}\right)\)
\(\chi_{900081}(40,\cdot)\)	900081.igw	546	no	\(-1\)	\(1\)	\(e\left(\frac{73}{91}\right)\)	\(e\left(\frac{55}{91}\right)\)	\(e\left(\frac{145}{546}\right)\)	\(e\left(\frac{37}{91}\right)\)	\(e\left(\frac{37}{546}\right)\)	\(e\left(\frac{31}{91}\right)\)	\(e\left(\frac{19}{91}\right)\)	\(e\left(\frac{223}{546}\right)\)	\(e\left(\frac{5}{26}\right)\)	\(e\left(\frac{475}{546}\right)\)
\(\chi_{900081}(41,\cdot)\)	900081.imq	1092	yes	\(1\)	\(1\)	\(e\left(\frac{50}{273}\right)\)	\(e\left(\frac{100}{273}\right)\)	\(e\left(\frac{223}{546}\right)\)	\(e\left(\frac{50}{91}\right)\)	\(e\left(\frac{323}{546}\right)\)	\(e\left(\frac{515}{1092}\right)\)	\(e\left(\frac{200}{273}\right)\)	\(e\left(\frac{535}{546}\right)\)	\(e\left(\frac{95}{156}\right)\)	\(e\left(\frac{141}{182}\right)\)
\(\chi_{900081}(43,\cdot)\)	900081.jeh	1092	yes	\(-1\)	\(1\)	\(e\left(\frac{745}{1092}\right)\)	\(e\left(\frac{199}{546}\right)\)	\(e\left(\frac{255}{364}\right)\)	\(e\left(\frac{17}{364}\right)\)	\(e\left(\frac{209}{546}\right)\)	\(e\left(\frac{151}{182}\right)\)	\(e\left(\frac{199}{273}\right)\)	\(e\left(\frac{80}{91}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{71}{1092}\right)\)
\(\chi_{900081}(44,\cdot)\)	900081.jgb	1092	no	\(1\)	\(1\)	\(e\left(\frac{431}{1092}\right)\)	\(e\left(\frac{431}{546}\right)\)	\(e\left(\frac{277}{364}\right)\)	\(e\left(\frac{67}{364}\right)\)	\(e\left(\frac{85}{546}\right)\)	\(e\left(\frac{11}{1092}\right)\)	\(e\left(\frac{158}{273}\right)\)	\(e\left(\frac{68}{273}\right)\)	\(e\left(\frac{43}{52}\right)\)	\(e\left(\frac{601}{1092}\right)\)
\(\chi_{900081}(46,\cdot)\)	900081.isj	1092	no	\(-1\)	\(1\)	\(e\left(\frac{363}{364}\right)\)	\(e\left(\frac{181}{182}\right)\)	\(e\left(\frac{229}{1092}\right)\)	\(e\left(\frac{361}{364}\right)\)	\(e\left(\frac{113}{546}\right)\)	\(e\left(\frac{991}{1092}\right)\)	\(e\left(\frac{90}{91}\right)\)	\(e\left(\frac{127}{182}\right)\)	\(e\left(\frac{47}{156}\right)\)	\(e\left(\frac{223}{1092}\right)\)
\(\chi_{900081}(47,\cdot)\)	900081.jkc	1092	yes	\(-1\)	\(1\)	\(e\left(\frac{727}{1092}\right)\)	\(e\left(\frac{181}{546}\right)\)	\(e\left(\frac{137}{1092}\right)\)	\(e\left(\frac{363}{364}\right)\)	\(e\left(\frac{72}{91}\right)\)	\(e\left(\frac{209}{1092}\right)\)	\(e\left(\frac{181}{273}\right)\)	\(e\left(\frac{103}{182}\right)\)	\(e\left(\frac{85}{156}\right)\)	\(e\left(\frac{499}{1092}\right)\)
\(\chi_{900081}(50,\cdot)\)	900081.bdx	12	no	\(-1\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(1\)	\(1\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)
\(\chi_{900081}(53,\cdot)\)	900081.jin	1092	no	\(1\)	\(1\)	\(e\left(\frac{19}{1092}\right)\)	\(e\left(\frac{19}{546}\right)\)	\(e\left(\frac{285}{364}\right)\)	\(e\left(\frac{19}{364}\right)\)	\(e\left(\frac{437}{546}\right)\)	\(e\left(\frac{335}{546}\right)\)	\(e\left(\frac{19}{273}\right)\)	\(e\left(\frac{317}{546}\right)\)	\(e\left(\frac{3}{13}\right)\)	\(e\left(\frac{893}{1092}\right)\)
\(\chi_{900081}(55,\cdot)\)	900081.jmb	1092	no	\(1\)	\(1\)	\(e\left(\frac{283}{1092}\right)\)	\(e\left(\frac{283}{546}\right)\)	\(e\left(\frac{905}{1092}\right)\)	\(e\left(\frac{283}{364}\right)\)	\(e\left(\frac{8}{91}\right)\)	\(e\left(\frac{23}{91}\right)\)	\(e\left(\frac{10}{273}\right)\)	\(e\left(\frac{95}{546}\right)\)	\(e\left(\frac{17}{78}\right)\)	\(e\left(\frac{379}{1092}\right)\)
\(\chi_{900081}(58,\cdot)\)	900081.ixi	1092	yes	\(-1\)	\(1\)	\(e\left(\frac{29}{1092}\right)\)	\(e\left(\frac{29}{546}\right)\)	\(e\left(\frac{577}{1092}\right)\)	\(e\left(\frac{29}{364}\right)\)	\(e\left(\frac{101}{182}\right)\)	\(e\left(\frac{673}{1092}\right)\)	\(e\left(\frac{29}{273}\right)\)	\(e\left(\frac{139}{546}\right)\)	\(e\left(\frac{19}{52}\right)\)	\(e\left(\frac{635}{1092}\right)\)
\(\chi_{900081}(59,\cdot)\)	900081.jpr	1092	yes	\(1\)	\(1\)	\(e\left(\frac{257}{546}\right)\)	\(e\left(\frac{257}{273}\right)\)	\(e\left(\frac{62}{91}\right)\)	\(e\left(\frac{75}{182}\right)\)	\(e\left(\frac{83}{546}\right)\)	\(e\left(\frac{773}{1092}\right)\)	\(e\left(\frac{241}{273}\right)\)	\(e\left(\frac{111}{182}\right)\)	\(e\left(\frac{29}{156}\right)\)	\(e\left(\frac{170}{273}\right)\)
\(\chi_{900081}(61,\cdot)\)	900081.iri	1092	yes	\(1\)	\(1\)	\(e\left(\frac{353}{364}\right)\)	\(e\left(\frac{171}{182}\right)\)	\(e\left(\frac{517}{1092}\right)\)	\(e\left(\frac{331}{364}\right)\)	\(e\left(\frac{121}{273}\right)\)	\(e\left(\frac{6}{91}\right)\)	\(e\left(\frac{80}{91}\right)\)	\(e\left(\frac{123}{182}\right)\)	\(e\left(\frac{5}{78}\right)\)	\(e\left(\frac{451}{1092}\right)\)

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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.