LMFDB - Group of Dirichlet characters of modulus 4425

Show commands: PariGP / SageMath

sage: H = DirichletGroup(4425)

pari: g = idealstar(,4425,2)

Character group

sage: G.order() pari: g.no
Order	=	2320
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{580}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{4425}(2951,\cdot)$, $\chi_{4425}(2302,\cdot)$, $\chi_{4425}(3601,\cdot)$

First 32 of 2320 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	$-1$	$1$	$2$	$4$	$7$	$8$	$11$	$13$	$14$	$16$	$17$	$19$
$\chi_{4425}(1,\cdot)$	4425.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{4425}(2,\cdot)$	4425.bv	580	yes	$-1$	$1$	$e\left(\frac{329}{580}\right)$	$e\left(\frac{39}{290}\right)$	$e\left(\frac{65}{116}\right)$	$e\left(\frac{407}{580}\right)$	$e\left(\frac{106}{145}\right)$	$e\left(\frac{421}{580}\right)$	$e\left(\frac{37}{290}\right)$	$e\left(\frac{39}{145}\right)$	$e\left(\frac{487}{580}\right)$	$e\left(\frac{161}{290}\right)$
$\chi_{4425}(4,\cdot)$	4425.bn	290	no	$1$	$1$	$e\left(\frac{39}{290}\right)$	$e\left(\frac{39}{145}\right)$	$e\left(\frac{7}{58}\right)$	$e\left(\frac{117}{290}\right)$	$e\left(\frac{67}{145}\right)$	$e\left(\frac{131}{290}\right)$	$e\left(\frac{37}{145}\right)$	$e\left(\frac{78}{145}\right)$	$e\left(\frac{197}{290}\right)$	$e\left(\frac{16}{145}\right)$
$\chi_{4425}(7,\cdot)$	4425.bg	116	no	$-1$	$1$	$e\left(\frac{65}{116}\right)$	$e\left(\frac{7}{58}\right)$	$e\left(\frac{97}{116}\right)$	$e\left(\frac{79}{116}\right)$	$e\left(\frac{22}{29}\right)$	$e\left(\frac{83}{116}\right)$	$e\left(\frac{23}{58}\right)$	$e\left(\frac{7}{29}\right)$	$e\left(\frac{77}{116}\right)$	$e\left(\frac{17}{58}\right)$
$\chi_{4425}(8,\cdot)$	4425.bv	580	yes	$-1$	$1$	$e\left(\frac{407}{580}\right)$	$e\left(\frac{117}{290}\right)$	$e\left(\frac{79}{116}\right)$	$e\left(\frac{61}{580}\right)$	$e\left(\frac{28}{145}\right)$	$e\left(\frac{103}{580}\right)$	$e\left(\frac{111}{290}\right)$	$e\left(\frac{117}{145}\right)$	$e\left(\frac{301}{580}\right)$	$e\left(\frac{193}{290}\right)$
$\chi_{4425}(11,\cdot)$	4425.bp	290	yes	$1$	$1$	$e\left(\frac{106}{145}\right)$	$e\left(\frac{67}{145}\right)$	$e\left(\frac{22}{29}\right)$	$e\left(\frac{28}{145}\right)$	$e\left(\frac{11}{145}\right)$	$e\left(\frac{173}{290}\right)$	$e\left(\frac{71}{145}\right)$	$e\left(\frac{134}{145}\right)$	$e\left(\frac{41}{290}\right)$	$e\left(\frac{113}{145}\right)$
$\chi_{4425}(13,\cdot)$	4425.bs	580	no	$1$	$1$	$e\left(\frac{421}{580}\right)$	$e\left(\frac{131}{290}\right)$	$e\left(\frac{83}{116}\right)$	$e\left(\frac{103}{580}\right)$	$e\left(\frac{173}{290}\right)$	$e\left(\frac{559}{580}\right)$	$e\left(\frac{64}{145}\right)$	$e\left(\frac{131}{145}\right)$	$e\left(\frac{223}{580}\right)$	$e\left(\frac{169}{290}\right)$
$\chi_{4425}(14,\cdot)$	4425.bo	290	yes	$1$	$1$	$e\left(\frac{37}{290}\right)$	$e\left(\frac{37}{145}\right)$	$e\left(\frac{23}{58}\right)$	$e\left(\frac{111}{290}\right)$	$e\left(\frac{71}{145}\right)$	$e\left(\frac{64}{145}\right)$	$e\left(\frac{76}{145}\right)$	$e\left(\frac{74}{145}\right)$	$e\left(\frac{73}{145}\right)$	$e\left(\frac{123}{145}\right)$
$\chi_{4425}(16,\cdot)$	4425.bk	145	no	$1$	$1$	$e\left(\frac{39}{145}\right)$	$e\left(\frac{78}{145}\right)$	$e\left(\frac{7}{29}\right)$	$e\left(\frac{117}{145}\right)$	$e\left(\frac{134}{145}\right)$	$e\left(\frac{131}{145}\right)$	$e\left(\frac{74}{145}\right)$	$e\left(\frac{11}{145}\right)$	$e\left(\frac{52}{145}\right)$	$e\left(\frac{32}{145}\right)$
$\chi_{4425}(17,\cdot)$	4425.bt	580	yes	$1$	$1$	$e\left(\frac{487}{580}\right)$	$e\left(\frac{197}{290}\right)$	$e\left(\frac{77}{116}\right)$	$e\left(\frac{301}{580}\right)$	$e\left(\frac{41}{290}\right)$	$e\left(\frac{223}{580}\right)$	$e\left(\frac{73}{145}\right)$	$e\left(\frac{52}{145}\right)$	$e\left(\frac{311}{580}\right)$	$e\left(\frac{263}{290}\right)$
$\chi_{4425}(19,\cdot)$	4425.bn	290	no	$1$	$1$	$e\left(\frac{161}{290}\right)$	$e\left(\frac{16}{145}\right)$	$e\left(\frac{17}{58}\right)$	$e\left(\frac{193}{290}\right)$	$e\left(\frac{113}{145}\right)$	$e\left(\frac{169}{290}\right)$	$e\left(\frac{123}{145}\right)$	$e\left(\frac{32}{145}\right)$	$e\left(\frac{263}{290}\right)$	$e\left(\frac{14}{145}\right)$
$\chi_{4425}(22,\cdot)$	4425.bu	580	no	$-1$	$1$	$e\left(\frac{173}{580}\right)$	$e\left(\frac{173}{290}\right)$	$e\left(\frac{37}{116}\right)$	$e\left(\frac{519}{580}\right)$	$e\left(\frac{117}{145}\right)$	$e\left(\frac{187}{580}\right)$	$e\left(\frac{179}{290}\right)$	$e\left(\frac{28}{145}\right)$	$e\left(\frac{569}{580}\right)$	$e\left(\frac{97}{290}\right)$
$\chi_{4425}(23,\cdot)$	4425.bv	580	yes	$-1$	$1$	$e\left(\frac{179}{580}\right)$	$e\left(\frac{179}{290}\right)$	$e\left(\frac{47}{116}\right)$	$e\left(\frac{537}{580}\right)$	$e\left(\frac{111}{145}\right)$	$e\left(\frac{51}{580}\right)$	$e\left(\frac{207}{290}\right)$	$e\left(\frac{34}{145}\right)$	$e\left(\frac{577}{580}\right)$	$e\left(\frac{211}{290}\right)$
$\chi_{4425}(26,\cdot)$	4425.bc	58	no	$-1$	$1$	$e\left(\frac{17}{58}\right)$	$e\left(\frac{17}{29}\right)$	$e\left(\frac{8}{29}\right)$	$e\left(\frac{51}{58}\right)$	$e\left(\frac{19}{58}\right)$	$e\left(\frac{20}{29}\right)$	$e\left(\frac{33}{58}\right)$	$e\left(\frac{5}{29}\right)$	$e\left(\frac{13}{58}\right)$	$e\left(\frac{4}{29}\right)$
$\chi_{4425}(28,\cdot)$	4425.bu	580	no	$-1$	$1$	$e\left(\frac{403}{580}\right)$	$e\left(\frac{113}{290}\right)$	$e\left(\frac{111}{116}\right)$	$e\left(\frac{49}{580}\right)$	$e\left(\frac{32}{145}\right)$	$e\left(\frac{97}{580}\right)$	$e\left(\frac{189}{290}\right)$	$e\left(\frac{113}{145}\right)$	$e\left(\frac{199}{580}\right)$	$e\left(\frac{117}{290}\right)$
$\chi_{4425}(29,\cdot)$	4425.bq	290	yes	$-1$	$1$	$e\left(\frac{12}{145}\right)$	$e\left(\frac{24}{145}\right)$	$e\left(\frac{11}{58}\right)$	$e\left(\frac{36}{145}\right)$	$e\left(\frac{49}{290}\right)$	$e\left(\frac{181}{290}\right)$	$e\left(\frac{79}{290}\right)$	$e\left(\frac{48}{145}\right)$	$e\left(\frac{16}{145}\right)$	$e\left(\frac{21}{145}\right)$
$\chi_{4425}(31,\cdot)$	4425.bl	290	no	$-1$	$1$	$e\left(\frac{71}{290}\right)$	$e\left(\frac{71}{145}\right)$	$e\left(\frac{6}{29}\right)$	$e\left(\frac{213}{290}\right)$	$e\left(\frac{151}{290}\right)$	$e\left(\frac{179}{290}\right)$	$e\left(\frac{131}{290}\right)$	$e\left(\frac{142}{145}\right)$	$e\left(\frac{144}{145}\right)$	$e\left(\frac{44}{145}\right)$
$\chi_{4425}(32,\cdot)$	4425.bh	116	no	$-1$	$1$	$e\left(\frac{97}{116}\right)$	$e\left(\frac{39}{58}\right)$	$e\left(\frac{93}{116}\right)$	$e\left(\frac{59}{116}\right)$	$e\left(\frac{19}{29}\right)$	$e\left(\frac{73}{116}\right)$	$e\left(\frac{37}{58}\right)$	$e\left(\frac{10}{29}\right)$	$e\left(\frac{23}{116}\right)$	$e\left(\frac{45}{58}\right)$
$\chi_{4425}(34,\cdot)$	4425.br	290	no	$-1$	$1$	$e\left(\frac{59}{145}\right)$	$e\left(\frac{118}{145}\right)$	$e\left(\frac{13}{58}\right)$	$e\left(\frac{32}{145}\right)$	$e\left(\frac{253}{290}\right)$	$e\left(\frac{16}{145}\right)$	$e\left(\frac{183}{290}\right)$	$e\left(\frac{91}{145}\right)$	$e\left(\frac{109}{290}\right)$	$e\left(\frac{67}{145}\right)$
$\chi_{4425}(37,\cdot)$	4425.bs	580	no	$1$	$1$	$e\left(\frac{231}{580}\right)$	$e\left(\frac{231}{290}\right)$	$e\left(\frac{37}{116}\right)$	$e\left(\frac{113}{580}\right)$	$e\left(\frac{263}{290}\right)$	$e\left(\frac{129}{580}\right)$	$e\left(\frac{104}{145}\right)$	$e\left(\frac{86}{145}\right)$	$e\left(\frac{453}{580}\right)$	$e\left(\frac{39}{290}\right)$
$\chi_{4425}(38,\cdot)$	4425.bv	580	yes	$-1$	$1$	$e\left(\frac{71}{580}\right)$	$e\left(\frac{71}{290}\right)$	$e\left(\frac{99}{116}\right)$	$e\left(\frac{213}{580}\right)$	$e\left(\frac{74}{145}\right)$	$e\left(\frac{179}{580}\right)$	$e\left(\frac{283}{290}\right)$	$e\left(\frac{71}{145}\right)$	$e\left(\frac{433}{580}\right)$	$e\left(\frac{189}{290}\right)$
$\chi_{4425}(41,\cdot)$	4425.bm	290	yes	$-1$	$1$	$e\left(\frac{273}{290}\right)$	$e\left(\frac{128}{145}\right)$	$e\left(\frac{10}{29}\right)$	$e\left(\frac{239}{290}\right)$	$e\left(\frac{213}{290}\right)$	$e\left(\frac{96}{145}\right)$	$e\left(\frac{83}{290}\right)$	$e\left(\frac{111}{145}\right)$	$e\left(\frac{219}{290}\right)$	$e\left(\frac{112}{145}\right)$
$\chi_{4425}(43,\cdot)$	4425.bi	116	no	$1$	$1$	$e\left(\frac{37}{116}\right)$	$e\left(\frac{37}{58}\right)$	$e\left(\frac{115}{116}\right)$	$e\left(\frac{111}{116}\right)$	$e\left(\frac{13}{58}\right)$	$e\left(\frac{99}{116}\right)$	$e\left(\frac{9}{29}\right)$	$e\left(\frac{8}{29}\right)$	$e\left(\frac{59}{116}\right)$	$e\left(\frac{7}{58}\right)$
$\chi_{4425}(44,\cdot)$	4425.bo	290	yes	$1$	$1$	$e\left(\frac{251}{290}\right)$	$e\left(\frac{106}{145}\right)$	$e\left(\frac{51}{58}\right)$	$e\left(\frac{173}{290}\right)$	$e\left(\frac{78}{145}\right)$	$e\left(\frac{7}{145}\right)$	$e\left(\frac{108}{145}\right)$	$e\left(\frac{67}{145}\right)$	$e\left(\frac{119}{145}\right)$	$e\left(\frac{129}{145}\right)$
$\chi_{4425}(46,\cdot)$	4425.bk	145	no	$1$	$1$	$e\left(\frac{127}{145}\right)$	$e\left(\frac{109}{145}\right)$	$e\left(\frac{28}{29}\right)$	$e\left(\frac{91}{145}\right)$	$e\left(\frac{72}{145}\right)$	$e\left(\frac{118}{145}\right)$	$e\left(\frac{122}{145}\right)$	$e\left(\frac{73}{145}\right)$	$e\left(\frac{121}{145}\right)$	$e\left(\frac{41}{145}\right)$
$\chi_{4425}(47,\cdot)$	4425.bv	580	yes	$-1$	$1$	$e\left(\frac{433}{580}\right)$	$e\left(\frac{143}{290}\right)$	$e\left(\frac{45}{116}\right)$	$e\left(\frac{139}{580}\right)$	$e\left(\frac{2}{145}\right)$	$e\left(\frac{577}{580}\right)$	$e\left(\frac{39}{290}\right)$	$e\left(\frac{143}{145}\right)$	$e\left(\frac{239}{580}\right)$	$e\left(\frac{107}{290}\right)$
$\chi_{4425}(49,\cdot)$	4425.bf	58	no	$1$	$1$	$e\left(\frac{7}{58}\right)$	$e\left(\frac{7}{29}\right)$	$e\left(\frac{39}{58}\right)$	$e\left(\frac{21}{58}\right)$	$e\left(\frac{15}{29}\right)$	$e\left(\frac{25}{58}\right)$	$e\left(\frac{23}{29}\right)$	$e\left(\frac{14}{29}\right)$	$e\left(\frac{19}{58}\right)$	$e\left(\frac{17}{29}\right)$
$\chi_{4425}(52,\cdot)$	4425.bs	580	no	$1$	$1$	$e\left(\frac{499}{580}\right)$	$e\left(\frac{209}{290}\right)$	$e\left(\frac{97}{116}\right)$	$e\left(\frac{337}{580}\right)$	$e\left(\frac{17}{290}\right)$	$e\left(\frac{241}{580}\right)$	$e\left(\frac{101}{145}\right)$	$e\left(\frac{64}{145}\right)$	$e\left(\frac{37}{580}\right)$	$e\left(\frac{201}{290}\right)$
$\chi_{4425}(53,\cdot)$	4425.bt	580	yes	$1$	$1$	$e\left(\frac{133}{580}\right)$	$e\left(\frac{133}{290}\right)$	$e\left(\frac{67}{116}\right)$	$e\left(\frac{399}{580}\right)$	$e\left(\frac{169}{290}\right)$	$e\left(\frac{417}{580}\right)$	$e\left(\frac{117}{145}\right)$	$e\left(\frac{133}{145}\right)$	$e\left(\frac{129}{580}\right)$	$e\left(\frac{207}{290}\right)$
$\chi_{4425}(56,\cdot)$	4425.bp	290	yes	$1$	$1$	$e\left(\frac{38}{145}\right)$	$e\left(\frac{76}{145}\right)$	$e\left(\frac{15}{29}\right)$	$e\left(\frac{114}{145}\right)$	$e\left(\frac{138}{145}\right)$	$e\left(\frac{259}{290}\right)$	$e\left(\frac{113}{145}\right)$	$e\left(\frac{7}{145}\right)$	$e\left(\frac{53}{290}\right)$	$e\left(\frac{139}{145}\right)$
$\chi_{4425}(58,\cdot)$	4425.x	20	no	$1$	$1$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{3}{10}\right)$	$-i$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{7}{10}\right)$
$\chi_{4425}(61,\cdot)$	4425.bl	290	no	$-1$	$1$	$e\left(\frac{237}{290}\right)$	$e\left(\frac{92}{145}\right)$	$e\left(\frac{9}{29}\right)$	$e\left(\frac{131}{290}\right)$	$e\left(\frac{67}{290}\right)$	$e\left(\frac{283}{290}\right)$	$e\left(\frac{37}{290}\right)$	$e\left(\frac{39}{145}\right)$	$e\left(\frac{13}{145}\right)$	$e\left(\frac{8}{145}\right)$

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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	$4425$
Structure	\(C_{2}\times C_{2}\times C_{580}\)
Order	$2320$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\(\chi_{4425}(1,\cdot)\)	4425.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{4425}(2,\cdot)\)	4425.bv	580	yes	\(-1\)	\(1\)	\(e\left(\frac{329}{580}\right)\)	\(e\left(\frac{39}{290}\right)\)	\(e\left(\frac{65}{116}\right)\)	\(e\left(\frac{407}{580}\right)\)	\(e\left(\frac{106}{145}\right)\)	\(e\left(\frac{421}{580}\right)\)	\(e\left(\frac{37}{290}\right)\)	\(e\left(\frac{39}{145}\right)\)	\(e\left(\frac{487}{580}\right)\)	\(e\left(\frac{161}{290}\right)\)
\(\chi_{4425}(4,\cdot)\)	4425.bn	290	no	\(1\)	\(1\)	\(e\left(\frac{39}{290}\right)\)	\(e\left(\frac{39}{145}\right)\)	\(e\left(\frac{7}{58}\right)\)	\(e\left(\frac{117}{290}\right)\)	\(e\left(\frac{67}{145}\right)\)	\(e\left(\frac{131}{290}\right)\)	\(e\left(\frac{37}{145}\right)\)	\(e\left(\frac{78}{145}\right)\)	\(e\left(\frac{197}{290}\right)\)	\(e\left(\frac{16}{145}\right)\)
\(\chi_{4425}(7,\cdot)\)	4425.bg	116	no	\(-1\)	\(1\)	\(e\left(\frac{65}{116}\right)\)	\(e\left(\frac{7}{58}\right)\)	\(e\left(\frac{97}{116}\right)\)	\(e\left(\frac{79}{116}\right)\)	\(e\left(\frac{22}{29}\right)\)	\(e\left(\frac{83}{116}\right)\)	\(e\left(\frac{23}{58}\right)\)	\(e\left(\frac{7}{29}\right)\)	\(e\left(\frac{77}{116}\right)\)	\(e\left(\frac{17}{58}\right)\)
\(\chi_{4425}(8,\cdot)\)	4425.bv	580	yes	\(-1\)	\(1\)	\(e\left(\frac{407}{580}\right)\)	\(e\left(\frac{117}{290}\right)\)	\(e\left(\frac{79}{116}\right)\)	\(e\left(\frac{61}{580}\right)\)	\(e\left(\frac{28}{145}\right)\)	\(e\left(\frac{103}{580}\right)\)	\(e\left(\frac{111}{290}\right)\)	\(e\left(\frac{117}{145}\right)\)	\(e\left(\frac{301}{580}\right)\)	\(e\left(\frac{193}{290}\right)\)
\(\chi_{4425}(11,\cdot)\)	4425.bp	290	yes	\(1\)	\(1\)	\(e\left(\frac{106}{145}\right)\)	\(e\left(\frac{67}{145}\right)\)	\(e\left(\frac{22}{29}\right)\)	\(e\left(\frac{28}{145}\right)\)	\(e\left(\frac{11}{145}\right)\)	\(e\left(\frac{173}{290}\right)\)	\(e\left(\frac{71}{145}\right)\)	\(e\left(\frac{134}{145}\right)\)	\(e\left(\frac{41}{290}\right)\)	\(e\left(\frac{113}{145}\right)\)
\(\chi_{4425}(13,\cdot)\)	4425.bs	580	no	\(1\)	\(1\)	\(e\left(\frac{421}{580}\right)\)	\(e\left(\frac{131}{290}\right)\)	\(e\left(\frac{83}{116}\right)\)	\(e\left(\frac{103}{580}\right)\)	\(e\left(\frac{173}{290}\right)\)	\(e\left(\frac{559}{580}\right)\)	\(e\left(\frac{64}{145}\right)\)	\(e\left(\frac{131}{145}\right)\)	\(e\left(\frac{223}{580}\right)\)	\(e\left(\frac{169}{290}\right)\)
\(\chi_{4425}(14,\cdot)\)	4425.bo	290	yes	\(1\)	\(1\)	\(e\left(\frac{37}{290}\right)\)	\(e\left(\frac{37}{145}\right)\)	\(e\left(\frac{23}{58}\right)\)	\(e\left(\frac{111}{290}\right)\)	\(e\left(\frac{71}{145}\right)\)	\(e\left(\frac{64}{145}\right)\)	\(e\left(\frac{76}{145}\right)\)	\(e\left(\frac{74}{145}\right)\)	\(e\left(\frac{73}{145}\right)\)	\(e\left(\frac{123}{145}\right)\)
\(\chi_{4425}(16,\cdot)\)	4425.bk	145	no	\(1\)	\(1\)	\(e\left(\frac{39}{145}\right)\)	\(e\left(\frac{78}{145}\right)\)	\(e\left(\frac{7}{29}\right)\)	\(e\left(\frac{117}{145}\right)\)	\(e\left(\frac{134}{145}\right)\)	\(e\left(\frac{131}{145}\right)\)	\(e\left(\frac{74}{145}\right)\)	\(e\left(\frac{11}{145}\right)\)	\(e\left(\frac{52}{145}\right)\)	\(e\left(\frac{32}{145}\right)\)
\(\chi_{4425}(17,\cdot)\)	4425.bt	580	yes	\(1\)	\(1\)	\(e\left(\frac{487}{580}\right)\)	\(e\left(\frac{197}{290}\right)\)	\(e\left(\frac{77}{116}\right)\)	\(e\left(\frac{301}{580}\right)\)	\(e\left(\frac{41}{290}\right)\)	\(e\left(\frac{223}{580}\right)\)	\(e\left(\frac{73}{145}\right)\)	\(e\left(\frac{52}{145}\right)\)	\(e\left(\frac{311}{580}\right)\)	\(e\left(\frac{263}{290}\right)\)
\(\chi_{4425}(19,\cdot)\)	4425.bn	290	no	\(1\)	\(1\)	\(e\left(\frac{161}{290}\right)\)	\(e\left(\frac{16}{145}\right)\)	\(e\left(\frac{17}{58}\right)\)	\(e\left(\frac{193}{290}\right)\)	\(e\left(\frac{113}{145}\right)\)	\(e\left(\frac{169}{290}\right)\)	\(e\left(\frac{123}{145}\right)\)	\(e\left(\frac{32}{145}\right)\)	\(e\left(\frac{263}{290}\right)\)	\(e\left(\frac{14}{145}\right)\)
\(\chi_{4425}(22,\cdot)\)	4425.bu	580	no	\(-1\)	\(1\)	\(e\left(\frac{173}{580}\right)\)	\(e\left(\frac{173}{290}\right)\)	\(e\left(\frac{37}{116}\right)\)	\(e\left(\frac{519}{580}\right)\)	\(e\left(\frac{117}{145}\right)\)	\(e\left(\frac{187}{580}\right)\)	\(e\left(\frac{179}{290}\right)\)	\(e\left(\frac{28}{145}\right)\)	\(e\left(\frac{569}{580}\right)\)	\(e\left(\frac{97}{290}\right)\)
\(\chi_{4425}(23,\cdot)\)	4425.bv	580	yes	\(-1\)	\(1\)	\(e\left(\frac{179}{580}\right)\)	\(e\left(\frac{179}{290}\right)\)	\(e\left(\frac{47}{116}\right)\)	\(e\left(\frac{537}{580}\right)\)	\(e\left(\frac{111}{145}\right)\)	\(e\left(\frac{51}{580}\right)\)	\(e\left(\frac{207}{290}\right)\)	\(e\left(\frac{34}{145}\right)\)	\(e\left(\frac{577}{580}\right)\)	\(e\left(\frac{211}{290}\right)\)
\(\chi_{4425}(26,\cdot)\)	4425.bc	58	no	\(-1\)	\(1\)	\(e\left(\frac{17}{58}\right)\)	\(e\left(\frac{17}{29}\right)\)	\(e\left(\frac{8}{29}\right)\)	\(e\left(\frac{51}{58}\right)\)	\(e\left(\frac{19}{58}\right)\)	\(e\left(\frac{20}{29}\right)\)	\(e\left(\frac{33}{58}\right)\)	\(e\left(\frac{5}{29}\right)\)	\(e\left(\frac{13}{58}\right)\)	\(e\left(\frac{4}{29}\right)\)
\(\chi_{4425}(28,\cdot)\)	4425.bu	580	no	\(-1\)	\(1\)	\(e\left(\frac{403}{580}\right)\)	\(e\left(\frac{113}{290}\right)\)	\(e\left(\frac{111}{116}\right)\)	\(e\left(\frac{49}{580}\right)\)	\(e\left(\frac{32}{145}\right)\)	\(e\left(\frac{97}{580}\right)\)	\(e\left(\frac{189}{290}\right)\)	\(e\left(\frac{113}{145}\right)\)	\(e\left(\frac{199}{580}\right)\)	\(e\left(\frac{117}{290}\right)\)
\(\chi_{4425}(29,\cdot)\)	4425.bq	290	yes	\(-1\)	\(1\)	\(e\left(\frac{12}{145}\right)\)	\(e\left(\frac{24}{145}\right)\)	\(e\left(\frac{11}{58}\right)\)	\(e\left(\frac{36}{145}\right)\)	\(e\left(\frac{49}{290}\right)\)	\(e\left(\frac{181}{290}\right)\)	\(e\left(\frac{79}{290}\right)\)	\(e\left(\frac{48}{145}\right)\)	\(e\left(\frac{16}{145}\right)\)	\(e\left(\frac{21}{145}\right)\)
\(\chi_{4425}(31,\cdot)\)	4425.bl	290	no	\(-1\)	\(1\)	\(e\left(\frac{71}{290}\right)\)	\(e\left(\frac{71}{145}\right)\)	\(e\left(\frac{6}{29}\right)\)	\(e\left(\frac{213}{290}\right)\)	\(e\left(\frac{151}{290}\right)\)	\(e\left(\frac{179}{290}\right)\)	\(e\left(\frac{131}{290}\right)\)	\(e\left(\frac{142}{145}\right)\)	\(e\left(\frac{144}{145}\right)\)	\(e\left(\frac{44}{145}\right)\)
\(\chi_{4425}(32,\cdot)\)	4425.bh	116	no	\(-1\)	\(1\)	\(e\left(\frac{97}{116}\right)\)	\(e\left(\frac{39}{58}\right)\)	\(e\left(\frac{93}{116}\right)\)	\(e\left(\frac{59}{116}\right)\)	\(e\left(\frac{19}{29}\right)\)	\(e\left(\frac{73}{116}\right)\)	\(e\left(\frac{37}{58}\right)\)	\(e\left(\frac{10}{29}\right)\)	\(e\left(\frac{23}{116}\right)\)	\(e\left(\frac{45}{58}\right)\)
\(\chi_{4425}(34,\cdot)\)	4425.br	290	no	\(-1\)	\(1\)	\(e\left(\frac{59}{145}\right)\)	\(e\left(\frac{118}{145}\right)\)	\(e\left(\frac{13}{58}\right)\)	\(e\left(\frac{32}{145}\right)\)	\(e\left(\frac{253}{290}\right)\)	\(e\left(\frac{16}{145}\right)\)	\(e\left(\frac{183}{290}\right)\)	\(e\left(\frac{91}{145}\right)\)	\(e\left(\frac{109}{290}\right)\)	\(e\left(\frac{67}{145}\right)\)
\(\chi_{4425}(37,\cdot)\)	4425.bs	580	no	\(1\)	\(1\)	\(e\left(\frac{231}{580}\right)\)	\(e\left(\frac{231}{290}\right)\)	\(e\left(\frac{37}{116}\right)\)	\(e\left(\frac{113}{580}\right)\)	\(e\left(\frac{263}{290}\right)\)	\(e\left(\frac{129}{580}\right)\)	\(e\left(\frac{104}{145}\right)\)	\(e\left(\frac{86}{145}\right)\)	\(e\left(\frac{453}{580}\right)\)	\(e\left(\frac{39}{290}\right)\)
\(\chi_{4425}(38,\cdot)\)	4425.bv	580	yes	\(-1\)	\(1\)	\(e\left(\frac{71}{580}\right)\)	\(e\left(\frac{71}{290}\right)\)	\(e\left(\frac{99}{116}\right)\)	\(e\left(\frac{213}{580}\right)\)	\(e\left(\frac{74}{145}\right)\)	\(e\left(\frac{179}{580}\right)\)	\(e\left(\frac{283}{290}\right)\)	\(e\left(\frac{71}{145}\right)\)	\(e\left(\frac{433}{580}\right)\)	\(e\left(\frac{189}{290}\right)\)
\(\chi_{4425}(41,\cdot)\)	4425.bm	290	yes	\(-1\)	\(1\)	\(e\left(\frac{273}{290}\right)\)	\(e\left(\frac{128}{145}\right)\)	\(e\left(\frac{10}{29}\right)\)	\(e\left(\frac{239}{290}\right)\)	\(e\left(\frac{213}{290}\right)\)	\(e\left(\frac{96}{145}\right)\)	\(e\left(\frac{83}{290}\right)\)	\(e\left(\frac{111}{145}\right)\)	\(e\left(\frac{219}{290}\right)\)	\(e\left(\frac{112}{145}\right)\)
\(\chi_{4425}(43,\cdot)\)	4425.bi	116	no	\(1\)	\(1\)	\(e\left(\frac{37}{116}\right)\)	\(e\left(\frac{37}{58}\right)\)	\(e\left(\frac{115}{116}\right)\)	\(e\left(\frac{111}{116}\right)\)	\(e\left(\frac{13}{58}\right)\)	\(e\left(\frac{99}{116}\right)\)	\(e\left(\frac{9}{29}\right)\)	\(e\left(\frac{8}{29}\right)\)	\(e\left(\frac{59}{116}\right)\)	\(e\left(\frac{7}{58}\right)\)
\(\chi_{4425}(44,\cdot)\)	4425.bo	290	yes	\(1\)	\(1\)	\(e\left(\frac{251}{290}\right)\)	\(e\left(\frac{106}{145}\right)\)	\(e\left(\frac{51}{58}\right)\)	\(e\left(\frac{173}{290}\right)\)	\(e\left(\frac{78}{145}\right)\)	\(e\left(\frac{7}{145}\right)\)	\(e\left(\frac{108}{145}\right)\)	\(e\left(\frac{67}{145}\right)\)	\(e\left(\frac{119}{145}\right)\)	\(e\left(\frac{129}{145}\right)\)
\(\chi_{4425}(46,\cdot)\)	4425.bk	145	no	\(1\)	\(1\)	\(e\left(\frac{127}{145}\right)\)	\(e\left(\frac{109}{145}\right)\)	\(e\left(\frac{28}{29}\right)\)	\(e\left(\frac{91}{145}\right)\)	\(e\left(\frac{72}{145}\right)\)	\(e\left(\frac{118}{145}\right)\)	\(e\left(\frac{122}{145}\right)\)	\(e\left(\frac{73}{145}\right)\)	\(e\left(\frac{121}{145}\right)\)	\(e\left(\frac{41}{145}\right)\)
\(\chi_{4425}(47,\cdot)\)	4425.bv	580	yes	\(-1\)	\(1\)	\(e\left(\frac{433}{580}\right)\)	\(e\left(\frac{143}{290}\right)\)	\(e\left(\frac{45}{116}\right)\)	\(e\left(\frac{139}{580}\right)\)	\(e\left(\frac{2}{145}\right)\)	\(e\left(\frac{577}{580}\right)\)	\(e\left(\frac{39}{290}\right)\)	\(e\left(\frac{143}{145}\right)\)	\(e\left(\frac{239}{580}\right)\)	\(e\left(\frac{107}{290}\right)\)
\(\chi_{4425}(49,\cdot)\)	4425.bf	58	no	\(1\)	\(1\)	\(e\left(\frac{7}{58}\right)\)	\(e\left(\frac{7}{29}\right)\)	\(e\left(\frac{39}{58}\right)\)	\(e\left(\frac{21}{58}\right)\)	\(e\left(\frac{15}{29}\right)\)	\(e\left(\frac{25}{58}\right)\)	\(e\left(\frac{23}{29}\right)\)	\(e\left(\frac{14}{29}\right)\)	\(e\left(\frac{19}{58}\right)\)	\(e\left(\frac{17}{29}\right)\)
\(\chi_{4425}(52,\cdot)\)	4425.bs	580	no	\(1\)	\(1\)	\(e\left(\frac{499}{580}\right)\)	\(e\left(\frac{209}{290}\right)\)	\(e\left(\frac{97}{116}\right)\)	\(e\left(\frac{337}{580}\right)\)	\(e\left(\frac{17}{290}\right)\)	\(e\left(\frac{241}{580}\right)\)	\(e\left(\frac{101}{145}\right)\)	\(e\left(\frac{64}{145}\right)\)	\(e\left(\frac{37}{580}\right)\)	\(e\left(\frac{201}{290}\right)\)
\(\chi_{4425}(53,\cdot)\)	4425.bt	580	yes	\(1\)	\(1\)	\(e\left(\frac{133}{580}\right)\)	\(e\left(\frac{133}{290}\right)\)	\(e\left(\frac{67}{116}\right)\)	\(e\left(\frac{399}{580}\right)\)	\(e\left(\frac{169}{290}\right)\)	\(e\left(\frac{417}{580}\right)\)	\(e\left(\frac{117}{145}\right)\)	\(e\left(\frac{133}{145}\right)\)	\(e\left(\frac{129}{580}\right)\)	\(e\left(\frac{207}{290}\right)\)
\(\chi_{4425}(56,\cdot)\)	4425.bp	290	yes	\(1\)	\(1\)	\(e\left(\frac{38}{145}\right)\)	\(e\left(\frac{76}{145}\right)\)	\(e\left(\frac{15}{29}\right)\)	\(e\left(\frac{114}{145}\right)\)	\(e\left(\frac{138}{145}\right)\)	\(e\left(\frac{259}{290}\right)\)	\(e\left(\frac{113}{145}\right)\)	\(e\left(\frac{7}{145}\right)\)	\(e\left(\frac{53}{290}\right)\)	\(e\left(\frac{139}{145}\right)\)
\(\chi_{4425}(58,\cdot)\)	4425.x	20	no	\(1\)	\(1\)	\(e\left(\frac{13}{20}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(-i\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{7}{10}\right)\)
\(\chi_{4425}(61,\cdot)\)	4425.bl	290	no	\(-1\)	\(1\)	\(e\left(\frac{237}{290}\right)\)	\(e\left(\frac{92}{145}\right)\)	\(e\left(\frac{9}{29}\right)\)	\(e\left(\frac{131}{290}\right)\)	\(e\left(\frac{67}{290}\right)\)	\(e\left(\frac{283}{290}\right)\)	\(e\left(\frac{37}{290}\right)\)	\(e\left(\frac{39}{145}\right)\)	\(e\left(\frac{13}{145}\right)\)	\(e\left(\frac{8}{145}\right)\)

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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.