LMFDB - Group of Dirichlet characters of modulus 6035

Show commands: PariGP / SageMath

sage: H = DirichletGroup(6035)

pari: g = idealstar(,6035,2)

Character group

sage: G.order() pari: g.no
Order	=	4480
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{4}\times C_{560}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{6035}(3622,\cdot)$, $\chi_{6035}(5681,\cdot)$, $\chi_{6035}(3486,\cdot)$

First 32 of 4480 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	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{6035}(1,\cdot)$	6035.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{6035}(2,\cdot)$	6035.ey	280	yes	$-1$	$1$	$e\left(\frac{1}{70}\right)$	$e\left(\frac{239}{280}\right)$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{243}{280}\right)$	$e\left(\frac{269}{280}\right)$	$e\left(\frac{3}{70}\right)$	$e\left(\frac{99}{140}\right)$	$e\left(\frac{219}{280}\right)$	$e\left(\frac{247}{280}\right)$	$e\left(\frac{83}{140}\right)$
$\chi_{6035}(3,\cdot)$	6035.fh	560	yes	$1$	$1$	$e\left(\frac{239}{280}\right)$	$e\left(\frac{543}{560}\right)$	$e\left(\frac{99}{140}\right)$	$e\left(\frac{461}{560}\right)$	$e\left(\frac{453}{560}\right)$	$e\left(\frac{157}{280}\right)$	$e\left(\frac{263}{280}\right)$	$e\left(\frac{533}{560}\right)$	$e\left(\frac{379}{560}\right)$	$e\left(\frac{69}{70}\right)$
$\chi_{6035}(4,\cdot)$	6035.ew	140	yes	$1$	$1$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{99}{140}\right)$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{103}{140}\right)$	$e\left(\frac{129}{140}\right)$	$e\left(\frac{3}{35}\right)$	$e\left(\frac{29}{70}\right)$	$e\left(\frac{79}{140}\right)$	$e\left(\frac{107}{140}\right)$	$e\left(\frac{13}{70}\right)$
$\chi_{6035}(6,\cdot)$	6035.fk	560	no	$-1$	$1$	$e\left(\frac{243}{280}\right)$	$e\left(\frac{461}{560}\right)$	$e\left(\frac{103}{140}\right)$	$e\left(\frac{387}{560}\right)$	$e\left(\frac{431}{560}\right)$	$e\left(\frac{169}{280}\right)$	$e\left(\frac{181}{280}\right)$	$e\left(\frac{411}{560}\right)$	$e\left(\frac{313}{560}\right)$	$e\left(\frac{81}{140}\right)$
$\chi_{6035}(7,\cdot)$	6035.fn	560	yes	$-1$	$1$	$e\left(\frac{269}{280}\right)$	$e\left(\frac{453}{560}\right)$	$e\left(\frac{129}{140}\right)$	$e\left(\frac{431}{560}\right)$	$e\left(\frac{463}{560}\right)$	$e\left(\frac{247}{280}\right)$	$e\left(\frac{173}{280}\right)$	$e\left(\frac{143}{560}\right)$	$e\left(\frac{409}{560}\right)$	$e\left(\frac{2}{35}\right)$
$\chi_{6035}(8,\cdot)$	6035.ey	280	yes	$-1$	$1$	$e\left(\frac{3}{70}\right)$	$e\left(\frac{157}{280}\right)$	$e\left(\frac{3}{35}\right)$	$e\left(\frac{169}{280}\right)$	$e\left(\frac{247}{280}\right)$	$e\left(\frac{9}{70}\right)$	$e\left(\frac{17}{140}\right)$	$e\left(\frac{97}{280}\right)$	$e\left(\frac{181}{280}\right)$	$e\left(\frac{109}{140}\right)$
$\chi_{6035}(9,\cdot)$	6035.fc	280	yes	$1$	$1$	$e\left(\frac{99}{140}\right)$	$e\left(\frac{263}{280}\right)$	$e\left(\frac{29}{70}\right)$	$e\left(\frac{181}{280}\right)$	$e\left(\frac{173}{280}\right)$	$e\left(\frac{17}{140}\right)$	$e\left(\frac{123}{140}\right)$	$e\left(\frac{253}{280}\right)$	$e\left(\frac{99}{280}\right)$	$e\left(\frac{34}{35}\right)$
$\chi_{6035}(11,\cdot)$	6035.fl	560	no	$1$	$1$	$e\left(\frac{219}{280}\right)$	$e\left(\frac{533}{560}\right)$	$e\left(\frac{79}{140}\right)$	$e\left(\frac{411}{560}\right)$	$e\left(\frac{143}{560}\right)$	$e\left(\frac{97}{280}\right)$	$e\left(\frac{253}{280}\right)$	$e\left(\frac{443}{560}\right)$	$e\left(\frac{289}{560}\right)$	$e\left(\frac{3}{140}\right)$
$\chi_{6035}(12,\cdot)$	6035.fm	560	yes	$1$	$1$	$e\left(\frac{247}{280}\right)$	$e\left(\frac{379}{560}\right)$	$e\left(\frac{107}{140}\right)$	$e\left(\frac{313}{560}\right)$	$e\left(\frac{409}{560}\right)$	$e\left(\frac{181}{280}\right)$	$e\left(\frac{99}{280}\right)$	$e\left(\frac{289}{560}\right)$	$e\left(\frac{247}{560}\right)$	$e\left(\frac{6}{35}\right)$
$\chi_{6035}(13,\cdot)$	6035.ep	140	yes	$1$	$1$	$e\left(\frac{83}{140}\right)$	$e\left(\frac{69}{70}\right)$	$e\left(\frac{13}{70}\right)$	$e\left(\frac{81}{140}\right)$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{109}{140}\right)$	$e\left(\frac{34}{35}\right)$	$e\left(\frac{3}{140}\right)$	$e\left(\frac{6}{35}\right)$	$e\left(\frac{137}{140}\right)$
$\chi_{6035}(14,\cdot)$	6035.eb	80	yes	$1$	$1$	$e\left(\frac{39}{40}\right)$	$e\left(\frac{53}{80}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{51}{80}\right)$	$e\left(\frac{63}{80}\right)$	$e\left(\frac{37}{40}\right)$	$e\left(\frac{13}{40}\right)$	$e\left(\frac{3}{80}\right)$	$e\left(\frac{49}{80}\right)$	$e\left(\frac{13}{20}\right)$
$\chi_{6035}(16,\cdot)$	6035.dt	70	no	$1$	$1$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{29}{70}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{33}{70}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{6}{35}\right)$	$e\left(\frac{29}{35}\right)$	$e\left(\frac{9}{70}\right)$	$e\left(\frac{37}{70}\right)$	$e\left(\frac{13}{35}\right)$
$\chi_{6035}(18,\cdot)$	6035.et	140	no	$-1$	$1$	$e\left(\frac{101}{140}\right)$	$e\left(\frac{111}{140}\right)$	$e\left(\frac{31}{70}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{81}{140}\right)$	$e\left(\frac{23}{140}\right)$	$e\left(\frac{41}{70}\right)$	$e\left(\frac{24}{35}\right)$	$e\left(\frac{33}{140}\right)$	$e\left(\frac{79}{140}\right)$
$\chi_{6035}(19,\cdot)$	6035.fc	280	yes	$1$	$1$	$e\left(\frac{17}{140}\right)$	$e\left(\frac{89}{280}\right)$	$e\left(\frac{17}{70}\right)$	$e\left(\frac{123}{280}\right)$	$e\left(\frac{99}{280}\right)$	$e\left(\frac{51}{140}\right)$	$e\left(\frac{89}{140}\right)$	$e\left(\frac{59}{280}\right)$	$e\left(\frac{157}{280}\right)$	$e\left(\frac{32}{35}\right)$
$\chi_{6035}(21,\cdot)$	6035.em	140	no	$-1$	$1$	$e\left(\frac{57}{70}\right)$	$e\left(\frac{109}{140}\right)$	$e\left(\frac{22}{35}\right)$	$e\left(\frac{83}{140}\right)$	$e\left(\frac{89}{140}\right)$	$e\left(\frac{31}{70}\right)$	$e\left(\frac{39}{70}\right)$	$e\left(\frac{29}{140}\right)$	$e\left(\frac{57}{140}\right)$	$e\left(\frac{3}{70}\right)$
$\chi_{6035}(22,\cdot)$	6035.fg	560	yes	$-1$	$1$	$e\left(\frac{223}{280}\right)$	$e\left(\frac{451}{560}\right)$	$e\left(\frac{83}{140}\right)$	$e\left(\frac{337}{560}\right)$	$e\left(\frac{121}{560}\right)$	$e\left(\frac{109}{280}\right)$	$e\left(\frac{171}{280}\right)$	$e\left(\frac{321}{560}\right)$	$e\left(\frac{223}{560}\right)$	$e\left(\frac{43}{70}\right)$
$\chi_{6035}(23,\cdot)$	6035.el	112	yes	$-1$	$1$	$e\left(\frac{9}{56}\right)$	$e\left(\frac{85}{112}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{103}{112}\right)$	$e\left(\frac{31}{112}\right)$	$e\left(\frac{27}{56}\right)$	$e\left(\frac{29}{56}\right)$	$e\left(\frac{23}{112}\right)$	$e\left(\frac{9}{112}\right)$	$e\left(\frac{5}{14}\right)$
$\chi_{6035}(24,\cdot)$	6035.fj	560	yes	$-1$	$1$	$e\left(\frac{251}{280}\right)$	$e\left(\frac{297}{560}\right)$	$e\left(\frac{111}{140}\right)$	$e\left(\frac{239}{560}\right)$	$e\left(\frac{387}{560}\right)$	$e\left(\frac{193}{280}\right)$	$e\left(\frac{17}{280}\right)$	$e\left(\frac{167}{560}\right)$	$e\left(\frac{181}{560}\right)$	$e\left(\frac{107}{140}\right)$
$\chi_{6035}(26,\cdot)$	6035.dj	56	no	$-1$	$1$	$e\left(\frac{17}{28}\right)$	$e\left(\frac{47}{56}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{25}{56}\right)$	$e\left(\frac{1}{56}\right)$	$e\left(\frac{23}{28}\right)$	$e\left(\frac{19}{28}\right)$	$e\left(\frac{45}{56}\right)$	$e\left(\frac{3}{56}\right)$	$e\left(\frac{4}{7}\right)$
$\chi_{6035}(27,\cdot)$	6035.fh	560	yes	$1$	$1$	$e\left(\frac{157}{280}\right)$	$e\left(\frac{509}{560}\right)$	$e\left(\frac{17}{140}\right)$	$e\left(\frac{263}{560}\right)$	$e\left(\frac{239}{560}\right)$	$e\left(\frac{191}{280}\right)$	$e\left(\frac{229}{280}\right)$	$e\left(\frac{479}{560}\right)$	$e\left(\frac{17}{560}\right)$	$e\left(\frac{67}{70}\right)$
$\chi_{6035}(28,\cdot)$	6035.fg	560	yes	$-1$	$1$	$e\left(\frac{277}{280}\right)$	$e\left(\frac{289}{560}\right)$	$e\left(\frac{137}{140}\right)$	$e\left(\frac{283}{560}\right)$	$e\left(\frac{419}{560}\right)$	$e\left(\frac{271}{280}\right)$	$e\left(\frac{9}{280}\right)$	$e\left(\frac{459}{560}\right)$	$e\left(\frac{277}{560}\right)$	$e\left(\frac{17}{70}\right)$
$\chi_{6035}(29,\cdot)$	6035.fj	560	yes	$-1$	$1$	$e\left(\frac{197}{280}\right)$	$e\left(\frac{319}{560}\right)$	$e\left(\frac{57}{140}\right)$	$e\left(\frac{153}{560}\right)$	$e\left(\frac{229}{560}\right)$	$e\left(\frac{31}{280}\right)$	$e\left(\frac{39}{280}\right)$	$e\left(\frac{449}{560}\right)$	$e\left(\frac{547}{560}\right)$	$e\left(\frac{89}{140}\right)$
$\chi_{6035}(31,\cdot)$	6035.fl	560	no	$1$	$1$	$e\left(\frac{229}{280}\right)$	$e\left(\frac{363}{560}\right)$	$e\left(\frac{89}{140}\right)$	$e\left(\frac{261}{560}\right)$	$e\left(\frac{193}{560}\right)$	$e\left(\frac{127}{280}\right)$	$e\left(\frac{83}{280}\right)$	$e\left(\frac{453}{560}\right)$	$e\left(\frac{159}{560}\right)$	$e\left(\frac{53}{140}\right)$
$\chi_{6035}(32,\cdot)$	6035.do	56	yes	$-1$	$1$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{15}{56}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{19}{56}\right)$	$e\left(\frac{45}{56}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{51}{56}\right)$	$e\left(\frac{23}{56}\right)$	$e\left(\frac{27}{28}\right)$
$\chi_{6035}(33,\cdot)$	6035.er	140	yes	$1$	$1$	$e\left(\frac{89}{140}\right)$	$e\left(\frac{129}{140}\right)$	$e\left(\frac{19}{70}\right)$	$e\left(\frac{39}{70}\right)$	$e\left(\frac{9}{140}\right)$	$e\left(\frac{127}{140}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{26}{35}\right)$	$e\left(\frac{27}{140}\right)$	$e\left(\frac{1}{140}\right)$
$\chi_{6035}(36,\cdot)$	6035.fb	280	no	$1$	$1$	$e\left(\frac{103}{140}\right)$	$e\left(\frac{181}{280}\right)$	$e\left(\frac{33}{70}\right)$	$e\left(\frac{107}{280}\right)$	$e\left(\frac{151}{280}\right)$	$e\left(\frac{29}{140}\right)$	$e\left(\frac{41}{140}\right)$	$e\left(\frac{131}{280}\right)$	$e\left(\frac{33}{280}\right)$	$e\left(\frac{11}{70}\right)$
$\chi_{6035}(37,\cdot)$	6035.ef	112	yes	$1$	$1$	$e\left(\frac{47}{56}\right)$	$e\left(\frac{27}{112}\right)$	$e\left(\frac{19}{28}\right)$	$e\left(\frac{9}{112}\right)$	$e\left(\frac{25}{112}\right)$	$e\left(\frac{29}{56}\right)$	$e\left(\frac{27}{56}\right)$	$e\left(\frac{33}{112}\right)$	$e\left(\frac{103}{112}\right)$	$e\left(\frac{1}{7}\right)$
$\chi_{6035}(38,\cdot)$	6035.ev	140	yes	$-1$	$1$	$e\left(\frac{19}{140}\right)$	$e\left(\frac{6}{35}\right)$	$e\left(\frac{19}{70}\right)$	$e\left(\frac{43}{140}\right)$	$e\left(\frac{11}{35}\right)$	$e\left(\frac{57}{140}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{139}{140}\right)$	$e\left(\frac{31}{70}\right)$	$e\left(\frac{71}{140}\right)$
$\chi_{6035}(39,\cdot)$	6035.ej	112	yes	$1$	$1$	$e\left(\frac{25}{56}\right)$	$e\left(\frac{107}{112}\right)$	$e\left(\frac{25}{28}\right)$	$e\left(\frac{45}{112}\right)$	$e\left(\frac{97}{112}\right)$	$e\left(\frac{19}{56}\right)$	$e\left(\frac{51}{56}\right)$	$e\left(\frac{109}{112}\right)$	$e\left(\frac{95}{112}\right)$	$e\left(\frac{27}{28}\right)$
$\chi_{6035}(41,\cdot)$	6035.eg	112	no	$1$	$1$	$e\left(\frac{43}{56}\right)$	$e\left(\frac{109}{112}\right)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{83}{112}\right)$	$e\left(\frac{103}{112}\right)$	$e\left(\frac{17}{56}\right)$	$e\left(\frac{53}{56}\right)$	$e\left(\frac{99}{112}\right)$	$e\left(\frac{57}{112}\right)$	$e\left(\frac{19}{28}\right)$
$\chi_{6035}(42,\cdot)$	6035.ff	280	yes	$1$	$1$	$e\left(\frac{29}{35}\right)$	$e\left(\frac{177}{280}\right)$	$e\left(\frac{23}{35}\right)$	$e\left(\frac{129}{280}\right)$	$e\left(\frac{167}{280}\right)$	$e\left(\frac{17}{35}\right)$	$e\left(\frac{37}{140}\right)$	$e\left(\frac{277}{280}\right)$	$e\left(\frac{81}{280}\right)$	$e\left(\frac{89}{140}\right)$

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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	$6035$
Structure	\(C_{2}\times C_{4}\times C_{560}\)
Order	$4480$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)
\(\chi_{6035}(1,\cdot)\)	6035.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{6035}(2,\cdot)\)	6035.ey	280	yes	\(-1\)	\(1\)	\(e\left(\frac{1}{70}\right)\)	\(e\left(\frac{239}{280}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{243}{280}\right)\)	\(e\left(\frac{269}{280}\right)\)	\(e\left(\frac{3}{70}\right)\)	\(e\left(\frac{99}{140}\right)\)	\(e\left(\frac{219}{280}\right)\)	\(e\left(\frac{247}{280}\right)\)	\(e\left(\frac{83}{140}\right)\)
\(\chi_{6035}(3,\cdot)\)	6035.fh	560	yes	\(1\)	\(1\)	\(e\left(\frac{239}{280}\right)\)	\(e\left(\frac{543}{560}\right)\)	\(e\left(\frac{99}{140}\right)\)	\(e\left(\frac{461}{560}\right)\)	\(e\left(\frac{453}{560}\right)\)	\(e\left(\frac{157}{280}\right)\)	\(e\left(\frac{263}{280}\right)\)	\(e\left(\frac{533}{560}\right)\)	\(e\left(\frac{379}{560}\right)\)	\(e\left(\frac{69}{70}\right)\)
\(\chi_{6035}(4,\cdot)\)	6035.ew	140	yes	\(1\)	\(1\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{99}{140}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{103}{140}\right)\)	\(e\left(\frac{129}{140}\right)\)	\(e\left(\frac{3}{35}\right)\)	\(e\left(\frac{29}{70}\right)\)	\(e\left(\frac{79}{140}\right)\)	\(e\left(\frac{107}{140}\right)\)	\(e\left(\frac{13}{70}\right)\)
\(\chi_{6035}(6,\cdot)\)	6035.fk	560	no	\(-1\)	\(1\)	\(e\left(\frac{243}{280}\right)\)	\(e\left(\frac{461}{560}\right)\)	\(e\left(\frac{103}{140}\right)\)	\(e\left(\frac{387}{560}\right)\)	\(e\left(\frac{431}{560}\right)\)	\(e\left(\frac{169}{280}\right)\)	\(e\left(\frac{181}{280}\right)\)	\(e\left(\frac{411}{560}\right)\)	\(e\left(\frac{313}{560}\right)\)	\(e\left(\frac{81}{140}\right)\)
\(\chi_{6035}(7,\cdot)\)	6035.fn	560	yes	\(-1\)	\(1\)	\(e\left(\frac{269}{280}\right)\)	\(e\left(\frac{453}{560}\right)\)	\(e\left(\frac{129}{140}\right)\)	\(e\left(\frac{431}{560}\right)\)	\(e\left(\frac{463}{560}\right)\)	\(e\left(\frac{247}{280}\right)\)	\(e\left(\frac{173}{280}\right)\)	\(e\left(\frac{143}{560}\right)\)	\(e\left(\frac{409}{560}\right)\)	\(e\left(\frac{2}{35}\right)\)
\(\chi_{6035}(8,\cdot)\)	6035.ey	280	yes	\(-1\)	\(1\)	\(e\left(\frac{3}{70}\right)\)	\(e\left(\frac{157}{280}\right)\)	\(e\left(\frac{3}{35}\right)\)	\(e\left(\frac{169}{280}\right)\)	\(e\left(\frac{247}{280}\right)\)	\(e\left(\frac{9}{70}\right)\)	\(e\left(\frac{17}{140}\right)\)	\(e\left(\frac{97}{280}\right)\)	\(e\left(\frac{181}{280}\right)\)	\(e\left(\frac{109}{140}\right)\)
\(\chi_{6035}(9,\cdot)\)	6035.fc	280	yes	\(1\)	\(1\)	\(e\left(\frac{99}{140}\right)\)	\(e\left(\frac{263}{280}\right)\)	\(e\left(\frac{29}{70}\right)\)	\(e\left(\frac{181}{280}\right)\)	\(e\left(\frac{173}{280}\right)\)	\(e\left(\frac{17}{140}\right)\)	\(e\left(\frac{123}{140}\right)\)	\(e\left(\frac{253}{280}\right)\)	\(e\left(\frac{99}{280}\right)\)	\(e\left(\frac{34}{35}\right)\)
\(\chi_{6035}(11,\cdot)\)	6035.fl	560	no	\(1\)	\(1\)	\(e\left(\frac{219}{280}\right)\)	\(e\left(\frac{533}{560}\right)\)	\(e\left(\frac{79}{140}\right)\)	\(e\left(\frac{411}{560}\right)\)	\(e\left(\frac{143}{560}\right)\)	\(e\left(\frac{97}{280}\right)\)	\(e\left(\frac{253}{280}\right)\)	\(e\left(\frac{443}{560}\right)\)	\(e\left(\frac{289}{560}\right)\)	\(e\left(\frac{3}{140}\right)\)
\(\chi_{6035}(12,\cdot)\)	6035.fm	560	yes	\(1\)	\(1\)	\(e\left(\frac{247}{280}\right)\)	\(e\left(\frac{379}{560}\right)\)	\(e\left(\frac{107}{140}\right)\)	\(e\left(\frac{313}{560}\right)\)	\(e\left(\frac{409}{560}\right)\)	\(e\left(\frac{181}{280}\right)\)	\(e\left(\frac{99}{280}\right)\)	\(e\left(\frac{289}{560}\right)\)	\(e\left(\frac{247}{560}\right)\)	\(e\left(\frac{6}{35}\right)\)
\(\chi_{6035}(13,\cdot)\)	6035.ep	140	yes	\(1\)	\(1\)	\(e\left(\frac{83}{140}\right)\)	\(e\left(\frac{69}{70}\right)\)	\(e\left(\frac{13}{70}\right)\)	\(e\left(\frac{81}{140}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{109}{140}\right)\)	\(e\left(\frac{34}{35}\right)\)	\(e\left(\frac{3}{140}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{137}{140}\right)\)
\(\chi_{6035}(14,\cdot)\)	6035.eb	80	yes	\(1\)	\(1\)	\(e\left(\frac{39}{40}\right)\)	\(e\left(\frac{53}{80}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{51}{80}\right)\)	\(e\left(\frac{63}{80}\right)\)	\(e\left(\frac{37}{40}\right)\)	\(e\left(\frac{13}{40}\right)\)	\(e\left(\frac{3}{80}\right)\)	\(e\left(\frac{49}{80}\right)\)	\(e\left(\frac{13}{20}\right)\)
\(\chi_{6035}(16,\cdot)\)	6035.dt	70	no	\(1\)	\(1\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{29}{70}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{33}{70}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{29}{35}\right)\)	\(e\left(\frac{9}{70}\right)\)	\(e\left(\frac{37}{70}\right)\)	\(e\left(\frac{13}{35}\right)\)
\(\chi_{6035}(18,\cdot)\)	6035.et	140	no	\(-1\)	\(1\)	\(e\left(\frac{101}{140}\right)\)	\(e\left(\frac{111}{140}\right)\)	\(e\left(\frac{31}{70}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{81}{140}\right)\)	\(e\left(\frac{23}{140}\right)\)	\(e\left(\frac{41}{70}\right)\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{33}{140}\right)\)	\(e\left(\frac{79}{140}\right)\)
\(\chi_{6035}(19,\cdot)\)	6035.fc	280	yes	\(1\)	\(1\)	\(e\left(\frac{17}{140}\right)\)	\(e\left(\frac{89}{280}\right)\)	\(e\left(\frac{17}{70}\right)\)	\(e\left(\frac{123}{280}\right)\)	\(e\left(\frac{99}{280}\right)\)	\(e\left(\frac{51}{140}\right)\)	\(e\left(\frac{89}{140}\right)\)	\(e\left(\frac{59}{280}\right)\)	\(e\left(\frac{157}{280}\right)\)	\(e\left(\frac{32}{35}\right)\)
\(\chi_{6035}(21,\cdot)\)	6035.em	140	no	\(-1\)	\(1\)	\(e\left(\frac{57}{70}\right)\)	\(e\left(\frac{109}{140}\right)\)	\(e\left(\frac{22}{35}\right)\)	\(e\left(\frac{83}{140}\right)\)	\(e\left(\frac{89}{140}\right)\)	\(e\left(\frac{31}{70}\right)\)	\(e\left(\frac{39}{70}\right)\)	\(e\left(\frac{29}{140}\right)\)	\(e\left(\frac{57}{140}\right)\)	\(e\left(\frac{3}{70}\right)\)
\(\chi_{6035}(22,\cdot)\)	6035.fg	560	yes	\(-1\)	\(1\)	\(e\left(\frac{223}{280}\right)\)	\(e\left(\frac{451}{560}\right)\)	\(e\left(\frac{83}{140}\right)\)	\(e\left(\frac{337}{560}\right)\)	\(e\left(\frac{121}{560}\right)\)	\(e\left(\frac{109}{280}\right)\)	\(e\left(\frac{171}{280}\right)\)	\(e\left(\frac{321}{560}\right)\)	\(e\left(\frac{223}{560}\right)\)	\(e\left(\frac{43}{70}\right)\)
\(\chi_{6035}(23,\cdot)\)	6035.el	112	yes	\(-1\)	\(1\)	\(e\left(\frac{9}{56}\right)\)	\(e\left(\frac{85}{112}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{103}{112}\right)\)	\(e\left(\frac{31}{112}\right)\)	\(e\left(\frac{27}{56}\right)\)	\(e\left(\frac{29}{56}\right)\)	\(e\left(\frac{23}{112}\right)\)	\(e\left(\frac{9}{112}\right)\)	\(e\left(\frac{5}{14}\right)\)
\(\chi_{6035}(24,\cdot)\)	6035.fj	560	yes	\(-1\)	\(1\)	\(e\left(\frac{251}{280}\right)\)	\(e\left(\frac{297}{560}\right)\)	\(e\left(\frac{111}{140}\right)\)	\(e\left(\frac{239}{560}\right)\)	\(e\left(\frac{387}{560}\right)\)	\(e\left(\frac{193}{280}\right)\)	\(e\left(\frac{17}{280}\right)\)	\(e\left(\frac{167}{560}\right)\)	\(e\left(\frac{181}{560}\right)\)	\(e\left(\frac{107}{140}\right)\)
\(\chi_{6035}(26,\cdot)\)	6035.dj	56	no	\(-1\)	\(1\)	\(e\left(\frac{17}{28}\right)\)	\(e\left(\frac{47}{56}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{25}{56}\right)\)	\(e\left(\frac{1}{56}\right)\)	\(e\left(\frac{23}{28}\right)\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{45}{56}\right)\)	\(e\left(\frac{3}{56}\right)\)	\(e\left(\frac{4}{7}\right)\)
\(\chi_{6035}(27,\cdot)\)	6035.fh	560	yes	\(1\)	\(1\)	\(e\left(\frac{157}{280}\right)\)	\(e\left(\frac{509}{560}\right)\)	\(e\left(\frac{17}{140}\right)\)	\(e\left(\frac{263}{560}\right)\)	\(e\left(\frac{239}{560}\right)\)	\(e\left(\frac{191}{280}\right)\)	\(e\left(\frac{229}{280}\right)\)	\(e\left(\frac{479}{560}\right)\)	\(e\left(\frac{17}{560}\right)\)	\(e\left(\frac{67}{70}\right)\)
\(\chi_{6035}(28,\cdot)\)	6035.fg	560	yes	\(-1\)	\(1\)	\(e\left(\frac{277}{280}\right)\)	\(e\left(\frac{289}{560}\right)\)	\(e\left(\frac{137}{140}\right)\)	\(e\left(\frac{283}{560}\right)\)	\(e\left(\frac{419}{560}\right)\)	\(e\left(\frac{271}{280}\right)\)	\(e\left(\frac{9}{280}\right)\)	\(e\left(\frac{459}{560}\right)\)	\(e\left(\frac{277}{560}\right)\)	\(e\left(\frac{17}{70}\right)\)
\(\chi_{6035}(29,\cdot)\)	6035.fj	560	yes	\(-1\)	\(1\)	\(e\left(\frac{197}{280}\right)\)	\(e\left(\frac{319}{560}\right)\)	\(e\left(\frac{57}{140}\right)\)	\(e\left(\frac{153}{560}\right)\)	\(e\left(\frac{229}{560}\right)\)	\(e\left(\frac{31}{280}\right)\)	\(e\left(\frac{39}{280}\right)\)	\(e\left(\frac{449}{560}\right)\)	\(e\left(\frac{547}{560}\right)\)	\(e\left(\frac{89}{140}\right)\)
\(\chi_{6035}(31,\cdot)\)	6035.fl	560	no	\(1\)	\(1\)	\(e\left(\frac{229}{280}\right)\)	\(e\left(\frac{363}{560}\right)\)	\(e\left(\frac{89}{140}\right)\)	\(e\left(\frac{261}{560}\right)\)	\(e\left(\frac{193}{560}\right)\)	\(e\left(\frac{127}{280}\right)\)	\(e\left(\frac{83}{280}\right)\)	\(e\left(\frac{453}{560}\right)\)	\(e\left(\frac{159}{560}\right)\)	\(e\left(\frac{53}{140}\right)\)
\(\chi_{6035}(32,\cdot)\)	6035.do	56	yes	\(-1\)	\(1\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{15}{56}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{19}{56}\right)\)	\(e\left(\frac{45}{56}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{51}{56}\right)\)	\(e\left(\frac{23}{56}\right)\)	\(e\left(\frac{27}{28}\right)\)
\(\chi_{6035}(33,\cdot)\)	6035.er	140	yes	\(1\)	\(1\)	\(e\left(\frac{89}{140}\right)\)	\(e\left(\frac{129}{140}\right)\)	\(e\left(\frac{19}{70}\right)\)	\(e\left(\frac{39}{70}\right)\)	\(e\left(\frac{9}{140}\right)\)	\(e\left(\frac{127}{140}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{26}{35}\right)\)	\(e\left(\frac{27}{140}\right)\)	\(e\left(\frac{1}{140}\right)\)
\(\chi_{6035}(36,\cdot)\)	6035.fb	280	no	\(1\)	\(1\)	\(e\left(\frac{103}{140}\right)\)	\(e\left(\frac{181}{280}\right)\)	\(e\left(\frac{33}{70}\right)\)	\(e\left(\frac{107}{280}\right)\)	\(e\left(\frac{151}{280}\right)\)	\(e\left(\frac{29}{140}\right)\)	\(e\left(\frac{41}{140}\right)\)	\(e\left(\frac{131}{280}\right)\)	\(e\left(\frac{33}{280}\right)\)	\(e\left(\frac{11}{70}\right)\)
\(\chi_{6035}(37,\cdot)\)	6035.ef	112	yes	\(1\)	\(1\)	\(e\left(\frac{47}{56}\right)\)	\(e\left(\frac{27}{112}\right)\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{9}{112}\right)\)	\(e\left(\frac{25}{112}\right)\)	\(e\left(\frac{29}{56}\right)\)	\(e\left(\frac{27}{56}\right)\)	\(e\left(\frac{33}{112}\right)\)	\(e\left(\frac{103}{112}\right)\)	\(e\left(\frac{1}{7}\right)\)
\(\chi_{6035}(38,\cdot)\)	6035.ev	140	yes	\(-1\)	\(1\)	\(e\left(\frac{19}{140}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{19}{70}\right)\)	\(e\left(\frac{43}{140}\right)\)	\(e\left(\frac{11}{35}\right)\)	\(e\left(\frac{57}{140}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{139}{140}\right)\)	\(e\left(\frac{31}{70}\right)\)	\(e\left(\frac{71}{140}\right)\)
\(\chi_{6035}(39,\cdot)\)	6035.ej	112	yes	\(1\)	\(1\)	\(e\left(\frac{25}{56}\right)\)	\(e\left(\frac{107}{112}\right)\)	\(e\left(\frac{25}{28}\right)\)	\(e\left(\frac{45}{112}\right)\)	\(e\left(\frac{97}{112}\right)\)	\(e\left(\frac{19}{56}\right)\)	\(e\left(\frac{51}{56}\right)\)	\(e\left(\frac{109}{112}\right)\)	\(e\left(\frac{95}{112}\right)\)	\(e\left(\frac{27}{28}\right)\)
\(\chi_{6035}(41,\cdot)\)	6035.eg	112	no	\(1\)	\(1\)	\(e\left(\frac{43}{56}\right)\)	\(e\left(\frac{109}{112}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{83}{112}\right)\)	\(e\left(\frac{103}{112}\right)\)	\(e\left(\frac{17}{56}\right)\)	\(e\left(\frac{53}{56}\right)\)	\(e\left(\frac{99}{112}\right)\)	\(e\left(\frac{57}{112}\right)\)	\(e\left(\frac{19}{28}\right)\)
\(\chi_{6035}(42,\cdot)\)	6035.ff	280	yes	\(1\)	\(1\)	\(e\left(\frac{29}{35}\right)\)	\(e\left(\frac{177}{280}\right)\)	\(e\left(\frac{23}{35}\right)\)	\(e\left(\frac{129}{280}\right)\)	\(e\left(\frac{167}{280}\right)\)	\(e\left(\frac{17}{35}\right)\)	\(e\left(\frac{37}{140}\right)\)	\(e\left(\frac{277}{280}\right)\)	\(e\left(\frac{81}{280}\right)\)	\(e\left(\frac{89}{140}\right)\)

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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.