LMFDB - Group of Dirichlet characters of modulus 6017

Show commands: PariGP / SageMath

sage: H = DirichletGroup(6017)

pari: g = idealstar(,6017,2)

Character group

sage: G.order() pari: g.no
Order	=	5460
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2730}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{6017}(3830,\cdot)$, $\chi_{6017}(2190,\cdot)$

First 32 of 5460 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	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$12$
$\chi_{6017}(1,\cdot)$	6017.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{6017}(2,\cdot)$	6017.cl	2730	yes	$1$	$1$	$e\left(\frac{139}{1365}\right)$	$e\left(\frac{41}{70}\right)$	$e\left(\frac{278}{1365}\right)$	$e\left(\frac{1987}{2730}\right)$	$e\left(\frac{1877}{2730}\right)$	$e\left(\frac{1213}{1365}\right)$	$e\left(\frac{139}{455}\right)$	$e\left(\frac{6}{35}\right)$	$e\left(\frac{151}{182}\right)$	$e\left(\frac{431}{546}\right)$
$\chi_{6017}(3,\cdot)$	6017.bf	70	yes	$-1$	$1$	$e\left(\frac{41}{70}\right)$	$e\left(\frac{33}{70}\right)$	$e\left(\frac{6}{35}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{37}{70}\right)$	$e\left(\frac{53}{70}\right)$	$e\left(\frac{33}{35}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{9}{14}\right)$
$\chi_{6017}(4,\cdot)$	6017.ci	1365	yes	$1$	$1$	$e\left(\frac{278}{1365}\right)$	$e\left(\frac{6}{35}\right)$	$e\left(\frac{556}{1365}\right)$	$e\left(\frac{622}{1365}\right)$	$e\left(\frac{512}{1365}\right)$	$e\left(\frac{1061}{1365}\right)$	$e\left(\frac{278}{455}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{60}{91}\right)$	$e\left(\frac{158}{273}\right)$
$\chi_{6017}(5,\cdot)$	6017.cj	2730	yes	$-1$	$1$	$e\left(\frac{1987}{2730}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{622}{1365}\right)$	$e\left(\frac{773}{2730}\right)$	$e\left(\frac{779}{1365}\right)$	$e\left(\frac{1549}{2730}\right)$	$e\left(\frac{167}{910}\right)$	$e\left(\frac{24}{35}\right)$	$e\left(\frac{1}{91}\right)$	$e\left(\frac{163}{546}\right)$
$\chi_{6017}(6,\cdot)$	6017.ck	2730	yes	$-1$	$1$	$e\left(\frac{1877}{2730}\right)$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{512}{1365}\right)$	$e\left(\frac{779}{1365}\right)$	$e\left(\frac{2033}{2730}\right)$	$e\left(\frac{1139}{2730}\right)$	$e\left(\frac{57}{910}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{47}{182}\right)$	$e\left(\frac{118}{273}\right)$
$\chi_{6017}(7,\cdot)$	6017.cl	2730	yes	$1$	$1$	$e\left(\frac{1213}{1365}\right)$	$e\left(\frac{37}{70}\right)$	$e\left(\frac{1061}{1365}\right)$	$e\left(\frac{1549}{2730}\right)$	$e\left(\frac{1139}{2730}\right)$	$e\left(\frac{451}{1365}\right)$	$e\left(\frac{303}{455}\right)$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{83}{182}\right)$	$e\left(\frac{167}{546}\right)$
$\chi_{6017}(8,\cdot)$	6017.cf	910	yes	$1$	$1$	$e\left(\frac{139}{455}\right)$	$e\left(\frac{53}{70}\right)$	$e\left(\frac{278}{455}\right)$	$e\left(\frac{167}{910}\right)$	$e\left(\frac{57}{910}\right)$	$e\left(\frac{303}{455}\right)$	$e\left(\frac{417}{455}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{89}{182}\right)$	$e\left(\frac{67}{182}\right)$
$\chi_{6017}(9,\cdot)$	6017.z	35	yes	$1$	$1$	$e\left(\frac{6}{35}\right)$	$e\left(\frac{33}{35}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{24}{35}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{31}{35}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{2}{7}\right)$
$\chi_{6017}(10,\cdot)$	6017.bq	182	yes	$-1$	$1$	$e\left(\frac{151}{182}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{60}{91}\right)$	$e\left(\frac{1}{91}\right)$	$e\left(\frac{47}{182}\right)$	$e\left(\frac{83}{182}\right)$	$e\left(\frac{89}{182}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{153}{182}\right)$	$e\left(\frac{8}{91}\right)$
$\chi_{6017}(12,\cdot)$	6017.ce	546	no	$-1$	$1$	$e\left(\frac{431}{546}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{158}{273}\right)$	$e\left(\frac{163}{546}\right)$	$e\left(\frac{118}{273}\right)$	$e\left(\frac{167}{546}\right)$	$e\left(\frac{67}{182}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{8}{91}\right)$	$e\left(\frac{121}{546}\right)$
$\chi_{6017}(13,\cdot)$	6017.bw	210	yes	$-1$	$1$	$e\left(\frac{131}{210}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{26}{105}\right)$	$e\left(\frac{17}{105}\right)$	$e\left(\frac{29}{210}\right)$	$e\left(\frac{137}{210}\right)$	$e\left(\frac{61}{70}\right)$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{16}{21}\right)$
$\chi_{6017}(14,\cdot)$	6017.bm	105	yes	$1$	$1$	$e\left(\frac{104}{105}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{103}{105}\right)$	$e\left(\frac{31}{105}\right)$	$e\left(\frac{11}{105}\right)$	$e\left(\frac{23}{105}\right)$	$e\left(\frac{34}{35}\right)$	$e\left(\frac{8}{35}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{2}{21}\right)$
$\chi_{6017}(15,\cdot)$	6017.ci	1365	yes	$1$	$1$	$e\left(\frac{428}{1365}\right)$	$e\left(\frac{11}{35}\right)$	$e\left(\frac{856}{1365}\right)$	$e\left(\frac{172}{1365}\right)$	$e\left(\frac{857}{1365}\right)$	$e\left(\frac{131}{1365}\right)$	$e\left(\frac{428}{455}\right)$	$e\left(\frac{22}{35}\right)$	$e\left(\frac{40}{91}\right)$	$e\left(\frac{257}{273}\right)$
$\chi_{6017}(16,\cdot)$	6017.ci	1365	yes	$1$	$1$	$e\left(\frac{556}{1365}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{1112}{1365}\right)$	$e\left(\frac{1244}{1365}\right)$	$e\left(\frac{1024}{1365}\right)$	$e\left(\frac{757}{1365}\right)$	$e\left(\frac{101}{455}\right)$	$e\left(\frac{24}{35}\right)$	$e\left(\frac{29}{91}\right)$	$e\left(\frac{43}{273}\right)$
$\chi_{6017}(17,\cdot)$	6017.cl	2730	yes	$1$	$1$	$e\left(\frac{241}{1365}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{482}{1365}\right)$	$e\left(\frac{283}{2730}\right)$	$e\left(\frac{53}{2730}\right)$	$e\left(\frac{1072}{1365}\right)$	$e\left(\frac{241}{455}\right)$	$e\left(\frac{24}{35}\right)$	$e\left(\frac{51}{182}\right)$	$e\left(\frac{107}{546}\right)$
$\chi_{6017}(18,\cdot)$	6017.cl	2730	yes	$1$	$1$	$e\left(\frac{373}{1365}\right)$	$e\left(\frac{37}{70}\right)$	$e\left(\frac{746}{1365}\right)$	$e\left(\frac{1129}{2730}\right)$	$e\left(\frac{2189}{2730}\right)$	$e\left(\frac{1291}{1365}\right)$	$e\left(\frac{373}{455}\right)$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{125}{182}\right)$	$e\left(\frac{41}{546}\right)$
$\chi_{6017}(19,\cdot)$	6017.ck	2730	yes	$-1$	$1$	$e\left(\frac{1969}{2730}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{604}{1365}\right)$	$e\left(\frac{823}{1365}\right)$	$e\left(\frac{2281}{2730}\right)$	$e\left(\frac{1333}{2730}\right)$	$e\left(\frac{149}{910}\right)$	$e\left(\frac{8}{35}\right)$	$e\left(\frac{59}{182}\right)$	$e\left(\frac{152}{273}\right)$
$\chi_{6017}(20,\cdot)$	6017.cj	2730	yes	$-1$	$1$	$e\left(\frac{2543}{2730}\right)$	$e\left(\frac{1}{70}\right)$	$e\left(\frac{1178}{1365}\right)$	$e\left(\frac{2017}{2730}\right)$	$e\left(\frac{1291}{1365}\right)$	$e\left(\frac{941}{2730}\right)$	$e\left(\frac{723}{910}\right)$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{61}{91}\right)$	$e\left(\frac{479}{546}\right)$
$\chi_{6017}(21,\cdot)$	6017.bj	78	yes	$-1$	$1$	$e\left(\frac{37}{78}\right)$	$1$	$e\left(\frac{37}{39}\right)$	$e\left(\frac{16}{39}\right)$	$e\left(\frac{37}{78}\right)$	$e\left(\frac{67}{78}\right)$	$e\left(\frac{11}{26}\right)$	$1$	$e\left(\frac{23}{26}\right)$	$e\left(\frac{37}{39}\right)$
$\chi_{6017}(23,\cdot)$	6017.ce	546	no	$-1$	$1$	$e\left(\frac{293}{546}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{20}{273}\right)$	$e\left(\frac{31}{546}\right)$	$e\left(\frac{205}{273}\right)$	$e\left(\frac{149}{546}\right)$	$e\left(\frac{111}{182}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{54}{91}\right)$	$e\left(\frac{157}{546}\right)$
$\chi_{6017}(24,\cdot)$	6017.ch	910	yes	$-1$	$1$	$e\left(\frac{811}{910}\right)$	$e\left(\frac{8}{35}\right)$	$e\left(\frac{356}{455}\right)$	$e\left(\frac{12}{455}\right)$	$e\left(\frac{109}{910}\right)$	$e\left(\frac{177}{910}\right)$	$e\left(\frac{613}{910}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{167}{182}\right)$	$e\left(\frac{1}{91}\right)$
$\chi_{6017}(25,\cdot)$	6017.ci	1365	yes	$1$	$1$	$e\left(\frac{622}{1365}\right)$	$e\left(\frac{24}{35}\right)$	$e\left(\frac{1244}{1365}\right)$	$e\left(\frac{773}{1365}\right)$	$e\left(\frac{193}{1365}\right)$	$e\left(\frac{184}{1365}\right)$	$e\left(\frac{167}{455}\right)$	$e\left(\frac{13}{35}\right)$	$e\left(\frac{2}{91}\right)$	$e\left(\frac{163}{273}\right)$
$\chi_{6017}(26,\cdot)$	6017.ca	390	yes	$-1$	$1$	$e\left(\frac{283}{390}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{88}{195}\right)$	$e\left(\frac{347}{390}\right)$	$e\left(\frac{161}{195}\right)$	$e\left(\frac{211}{390}\right)$	$e\left(\frac{23}{130}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{8}{13}\right)$	$e\left(\frac{43}{78}\right)$
$\chi_{6017}(27,\cdot)$	6017.bf	70	yes	$-1$	$1$	$e\left(\frac{53}{70}\right)$	$e\left(\frac{29}{70}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{37}{70}\right)$	$e\left(\frac{6}{35}\right)$	$e\left(\frac{41}{70}\right)$	$e\left(\frac{19}{70}\right)$	$e\left(\frac{29}{35}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{13}{14}\right)$
$\chi_{6017}(28,\cdot)$	6017.bp	130	yes	$1$	$1$	$e\left(\frac{6}{65}\right)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{12}{65}\right)$	$e\left(\frac{3}{130}\right)$	$e\left(\frac{103}{130}\right)$	$e\left(\frac{7}{65}\right)$	$e\left(\frac{18}{65}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{3}{26}\right)$	$e\left(\frac{23}{26}\right)$
$\chi_{6017}(29,\cdot)$	6017.ch	910	yes	$-1$	$1$	$e\left(\frac{257}{910}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{257}{455}\right)$	$e\left(\frac{24}{455}\right)$	$e\left(\frac{673}{910}\right)$	$e\left(\frac{809}{910}\right)$	$e\left(\frac{771}{910}\right)$	$e\left(\frac{32}{35}\right)$	$e\left(\frac{61}{182}\right)$	$e\left(\frac{2}{91}\right)$
$\chi_{6017}(30,\cdot)$	6017.bp	130	yes	$1$	$1$	$e\left(\frac{27}{65}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{54}{65}\right)$	$e\left(\frac{111}{130}\right)$	$e\left(\frac{41}{130}\right)$	$e\left(\frac{64}{65}\right)$	$e\left(\frac{16}{65}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{7}{26}\right)$	$e\left(\frac{19}{26}\right)$
$\chi_{6017}(31,\cdot)$	6017.cg	910	yes	$-1$	$1$	$e\left(\frac{141}{910}\right)$	$e\left(\frac{61}{70}\right)$	$e\left(\frac{141}{455}\right)$	$e\left(\frac{669}{910}\right)$	$e\left(\frac{12}{455}\right)$	$e\left(\frac{327}{910}\right)$	$e\left(\frac{423}{910}\right)$	$e\left(\frac{26}{35}\right)$	$e\left(\frac{81}{91}\right)$	$e\left(\frac{33}{182}\right)$
$\chi_{6017}(32,\cdot)$	6017.cc	546	yes	$1$	$1$	$e\left(\frac{139}{273}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{5}{273}\right)$	$e\left(\frac{349}{546}\right)$	$e\left(\frac{239}{546}\right)$	$e\left(\frac{121}{273}\right)$	$e\left(\frac{48}{91}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{27}{182}\right)$	$e\left(\frac{517}{546}\right)$
$\chi_{6017}(34,\cdot)$	6017.bx	273	no	$1$	$1$	$e\left(\frac{76}{273}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{152}{273}\right)$	$e\left(\frac{227}{273}\right)$	$e\left(\frac{193}{273}\right)$	$e\left(\frac{184}{273}\right)$	$e\left(\frac{76}{91}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{10}{91}\right)$	$e\left(\frac{269}{273}\right)$
$\chi_{6017}(35,\cdot)$	6017.ch	910	yes	$-1$	$1$	$e\left(\frac{561}{910}\right)$	$e\left(\frac{13}{35}\right)$	$e\left(\frac{106}{455}\right)$	$e\left(\frac{387}{455}\right)$	$e\left(\frac{899}{910}\right)$	$e\left(\frac{817}{910}\right)$	$e\left(\frac{773}{910}\right)$	$e\left(\frac{26}{35}\right)$	$e\left(\frac{85}{182}\right)$	$e\left(\frac{55}{91}\right)$

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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	$6017$
Structure	\(C_{2}\times C_{2730}\)
Order	$5460$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\(\chi_{6017}(1,\cdot)\)	6017.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{6017}(2,\cdot)\)	6017.cl	2730	yes	\(1\)	\(1\)	\(e\left(\frac{139}{1365}\right)\)	\(e\left(\frac{41}{70}\right)\)	\(e\left(\frac{278}{1365}\right)\)	\(e\left(\frac{1987}{2730}\right)\)	\(e\left(\frac{1877}{2730}\right)\)	\(e\left(\frac{1213}{1365}\right)\)	\(e\left(\frac{139}{455}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{151}{182}\right)\)	\(e\left(\frac{431}{546}\right)\)
\(\chi_{6017}(3,\cdot)\)	6017.bf	70	yes	\(-1\)	\(1\)	\(e\left(\frac{41}{70}\right)\)	\(e\left(\frac{33}{70}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{37}{70}\right)\)	\(e\left(\frac{53}{70}\right)\)	\(e\left(\frac{33}{35}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{9}{14}\right)\)
\(\chi_{6017}(4,\cdot)\)	6017.ci	1365	yes	\(1\)	\(1\)	\(e\left(\frac{278}{1365}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{556}{1365}\right)\)	\(e\left(\frac{622}{1365}\right)\)	\(e\left(\frac{512}{1365}\right)\)	\(e\left(\frac{1061}{1365}\right)\)	\(e\left(\frac{278}{455}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{60}{91}\right)\)	\(e\left(\frac{158}{273}\right)\)
\(\chi_{6017}(5,\cdot)\)	6017.cj	2730	yes	\(-1\)	\(1\)	\(e\left(\frac{1987}{2730}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{622}{1365}\right)\)	\(e\left(\frac{773}{2730}\right)\)	\(e\left(\frac{779}{1365}\right)\)	\(e\left(\frac{1549}{2730}\right)\)	\(e\left(\frac{167}{910}\right)\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{1}{91}\right)\)	\(e\left(\frac{163}{546}\right)\)
\(\chi_{6017}(6,\cdot)\)	6017.ck	2730	yes	\(-1\)	\(1\)	\(e\left(\frac{1877}{2730}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{512}{1365}\right)\)	\(e\left(\frac{779}{1365}\right)\)	\(e\left(\frac{2033}{2730}\right)\)	\(e\left(\frac{1139}{2730}\right)\)	\(e\left(\frac{57}{910}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{47}{182}\right)\)	\(e\left(\frac{118}{273}\right)\)
\(\chi_{6017}(7,\cdot)\)	6017.cl	2730	yes	\(1\)	\(1\)	\(e\left(\frac{1213}{1365}\right)\)	\(e\left(\frac{37}{70}\right)\)	\(e\left(\frac{1061}{1365}\right)\)	\(e\left(\frac{1549}{2730}\right)\)	\(e\left(\frac{1139}{2730}\right)\)	\(e\left(\frac{451}{1365}\right)\)	\(e\left(\frac{303}{455}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{83}{182}\right)\)	\(e\left(\frac{167}{546}\right)\)
\(\chi_{6017}(8,\cdot)\)	6017.cf	910	yes	\(1\)	\(1\)	\(e\left(\frac{139}{455}\right)\)	\(e\left(\frac{53}{70}\right)\)	\(e\left(\frac{278}{455}\right)\)	\(e\left(\frac{167}{910}\right)\)	\(e\left(\frac{57}{910}\right)\)	\(e\left(\frac{303}{455}\right)\)	\(e\left(\frac{417}{455}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{89}{182}\right)\)	\(e\left(\frac{67}{182}\right)\)
\(\chi_{6017}(9,\cdot)\)	6017.z	35	yes	\(1\)	\(1\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{33}{35}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{31}{35}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{2}{7}\right)\)
\(\chi_{6017}(10,\cdot)\)	6017.bq	182	yes	\(-1\)	\(1\)	\(e\left(\frac{151}{182}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{60}{91}\right)\)	\(e\left(\frac{1}{91}\right)\)	\(e\left(\frac{47}{182}\right)\)	\(e\left(\frac{83}{182}\right)\)	\(e\left(\frac{89}{182}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{153}{182}\right)\)	\(e\left(\frac{8}{91}\right)\)
\(\chi_{6017}(12,\cdot)\)	6017.ce	546	no	\(-1\)	\(1\)	\(e\left(\frac{431}{546}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{158}{273}\right)\)	\(e\left(\frac{163}{546}\right)\)	\(e\left(\frac{118}{273}\right)\)	\(e\left(\frac{167}{546}\right)\)	\(e\left(\frac{67}{182}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{8}{91}\right)\)	\(e\left(\frac{121}{546}\right)\)
\(\chi_{6017}(13,\cdot)\)	6017.bw	210	yes	\(-1\)	\(1\)	\(e\left(\frac{131}{210}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{26}{105}\right)\)	\(e\left(\frac{17}{105}\right)\)	\(e\left(\frac{29}{210}\right)\)	\(e\left(\frac{137}{210}\right)\)	\(e\left(\frac{61}{70}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{16}{21}\right)\)
\(\chi_{6017}(14,\cdot)\)	6017.bm	105	yes	\(1\)	\(1\)	\(e\left(\frac{104}{105}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{103}{105}\right)\)	\(e\left(\frac{31}{105}\right)\)	\(e\left(\frac{11}{105}\right)\)	\(e\left(\frac{23}{105}\right)\)	\(e\left(\frac{34}{35}\right)\)	\(e\left(\frac{8}{35}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{2}{21}\right)\)
\(\chi_{6017}(15,\cdot)\)	6017.ci	1365	yes	\(1\)	\(1\)	\(e\left(\frac{428}{1365}\right)\)	\(e\left(\frac{11}{35}\right)\)	\(e\left(\frac{856}{1365}\right)\)	\(e\left(\frac{172}{1365}\right)\)	\(e\left(\frac{857}{1365}\right)\)	\(e\left(\frac{131}{1365}\right)\)	\(e\left(\frac{428}{455}\right)\)	\(e\left(\frac{22}{35}\right)\)	\(e\left(\frac{40}{91}\right)\)	\(e\left(\frac{257}{273}\right)\)
\(\chi_{6017}(16,\cdot)\)	6017.ci	1365	yes	\(1\)	\(1\)	\(e\left(\frac{556}{1365}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{1112}{1365}\right)\)	\(e\left(\frac{1244}{1365}\right)\)	\(e\left(\frac{1024}{1365}\right)\)	\(e\left(\frac{757}{1365}\right)\)	\(e\left(\frac{101}{455}\right)\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{29}{91}\right)\)	\(e\left(\frac{43}{273}\right)\)
\(\chi_{6017}(17,\cdot)\)	6017.cl	2730	yes	\(1\)	\(1\)	\(e\left(\frac{241}{1365}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{482}{1365}\right)\)	\(e\left(\frac{283}{2730}\right)\)	\(e\left(\frac{53}{2730}\right)\)	\(e\left(\frac{1072}{1365}\right)\)	\(e\left(\frac{241}{455}\right)\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{51}{182}\right)\)	\(e\left(\frac{107}{546}\right)\)
\(\chi_{6017}(18,\cdot)\)	6017.cl	2730	yes	\(1\)	\(1\)	\(e\left(\frac{373}{1365}\right)\)	\(e\left(\frac{37}{70}\right)\)	\(e\left(\frac{746}{1365}\right)\)	\(e\left(\frac{1129}{2730}\right)\)	\(e\left(\frac{2189}{2730}\right)\)	\(e\left(\frac{1291}{1365}\right)\)	\(e\left(\frac{373}{455}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{125}{182}\right)\)	\(e\left(\frac{41}{546}\right)\)
\(\chi_{6017}(19,\cdot)\)	6017.ck	2730	yes	\(-1\)	\(1\)	\(e\left(\frac{1969}{2730}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{604}{1365}\right)\)	\(e\left(\frac{823}{1365}\right)\)	\(e\left(\frac{2281}{2730}\right)\)	\(e\left(\frac{1333}{2730}\right)\)	\(e\left(\frac{149}{910}\right)\)	\(e\left(\frac{8}{35}\right)\)	\(e\left(\frac{59}{182}\right)\)	\(e\left(\frac{152}{273}\right)\)
\(\chi_{6017}(20,\cdot)\)	6017.cj	2730	yes	\(-1\)	\(1\)	\(e\left(\frac{2543}{2730}\right)\)	\(e\left(\frac{1}{70}\right)\)	\(e\left(\frac{1178}{1365}\right)\)	\(e\left(\frac{2017}{2730}\right)\)	\(e\left(\frac{1291}{1365}\right)\)	\(e\left(\frac{941}{2730}\right)\)	\(e\left(\frac{723}{910}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{61}{91}\right)\)	\(e\left(\frac{479}{546}\right)\)
\(\chi_{6017}(21,\cdot)\)	6017.bj	78	yes	\(-1\)	\(1\)	\(e\left(\frac{37}{78}\right)\)	\(1\)	\(e\left(\frac{37}{39}\right)\)	\(e\left(\frac{16}{39}\right)\)	\(e\left(\frac{37}{78}\right)\)	\(e\left(\frac{67}{78}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(1\)	\(e\left(\frac{23}{26}\right)\)	\(e\left(\frac{37}{39}\right)\)
\(\chi_{6017}(23,\cdot)\)	6017.ce	546	no	\(-1\)	\(1\)	\(e\left(\frac{293}{546}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{20}{273}\right)\)	\(e\left(\frac{31}{546}\right)\)	\(e\left(\frac{205}{273}\right)\)	\(e\left(\frac{149}{546}\right)\)	\(e\left(\frac{111}{182}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{54}{91}\right)\)	\(e\left(\frac{157}{546}\right)\)
\(\chi_{6017}(24,\cdot)\)	6017.ch	910	yes	\(-1\)	\(1\)	\(e\left(\frac{811}{910}\right)\)	\(e\left(\frac{8}{35}\right)\)	\(e\left(\frac{356}{455}\right)\)	\(e\left(\frac{12}{455}\right)\)	\(e\left(\frac{109}{910}\right)\)	\(e\left(\frac{177}{910}\right)\)	\(e\left(\frac{613}{910}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{167}{182}\right)\)	\(e\left(\frac{1}{91}\right)\)
\(\chi_{6017}(25,\cdot)\)	6017.ci	1365	yes	\(1\)	\(1\)	\(e\left(\frac{622}{1365}\right)\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{1244}{1365}\right)\)	\(e\left(\frac{773}{1365}\right)\)	\(e\left(\frac{193}{1365}\right)\)	\(e\left(\frac{184}{1365}\right)\)	\(e\left(\frac{167}{455}\right)\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{2}{91}\right)\)	\(e\left(\frac{163}{273}\right)\)
\(\chi_{6017}(26,\cdot)\)	6017.ca	390	yes	\(-1\)	\(1\)	\(e\left(\frac{283}{390}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{88}{195}\right)\)	\(e\left(\frac{347}{390}\right)\)	\(e\left(\frac{161}{195}\right)\)	\(e\left(\frac{211}{390}\right)\)	\(e\left(\frac{23}{130}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{8}{13}\right)\)	\(e\left(\frac{43}{78}\right)\)
\(\chi_{6017}(27,\cdot)\)	6017.bf	70	yes	\(-1\)	\(1\)	\(e\left(\frac{53}{70}\right)\)	\(e\left(\frac{29}{70}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{37}{70}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{41}{70}\right)\)	\(e\left(\frac{19}{70}\right)\)	\(e\left(\frac{29}{35}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{6017}(28,\cdot)\)	6017.bp	130	yes	\(1\)	\(1\)	\(e\left(\frac{6}{65}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(e\left(\frac{12}{65}\right)\)	\(e\left(\frac{3}{130}\right)\)	\(e\left(\frac{103}{130}\right)\)	\(e\left(\frac{7}{65}\right)\)	\(e\left(\frac{18}{65}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{3}{26}\right)\)	\(e\left(\frac{23}{26}\right)\)
\(\chi_{6017}(29,\cdot)\)	6017.ch	910	yes	\(-1\)	\(1\)	\(e\left(\frac{257}{910}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{257}{455}\right)\)	\(e\left(\frac{24}{455}\right)\)	\(e\left(\frac{673}{910}\right)\)	\(e\left(\frac{809}{910}\right)\)	\(e\left(\frac{771}{910}\right)\)	\(e\left(\frac{32}{35}\right)\)	\(e\left(\frac{61}{182}\right)\)	\(e\left(\frac{2}{91}\right)\)
\(\chi_{6017}(30,\cdot)\)	6017.bp	130	yes	\(1\)	\(1\)	\(e\left(\frac{27}{65}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{54}{65}\right)\)	\(e\left(\frac{111}{130}\right)\)	\(e\left(\frac{41}{130}\right)\)	\(e\left(\frac{64}{65}\right)\)	\(e\left(\frac{16}{65}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{7}{26}\right)\)	\(e\left(\frac{19}{26}\right)\)
\(\chi_{6017}(31,\cdot)\)	6017.cg	910	yes	\(-1\)	\(1\)	\(e\left(\frac{141}{910}\right)\)	\(e\left(\frac{61}{70}\right)\)	\(e\left(\frac{141}{455}\right)\)	\(e\left(\frac{669}{910}\right)\)	\(e\left(\frac{12}{455}\right)\)	\(e\left(\frac{327}{910}\right)\)	\(e\left(\frac{423}{910}\right)\)	\(e\left(\frac{26}{35}\right)\)	\(e\left(\frac{81}{91}\right)\)	\(e\left(\frac{33}{182}\right)\)
\(\chi_{6017}(32,\cdot)\)	6017.cc	546	yes	\(1\)	\(1\)	\(e\left(\frac{139}{273}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{5}{273}\right)\)	\(e\left(\frac{349}{546}\right)\)	\(e\left(\frac{239}{546}\right)\)	\(e\left(\frac{121}{273}\right)\)	\(e\left(\frac{48}{91}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{27}{182}\right)\)	\(e\left(\frac{517}{546}\right)\)
\(\chi_{6017}(34,\cdot)\)	6017.bx	273	no	\(1\)	\(1\)	\(e\left(\frac{76}{273}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{152}{273}\right)\)	\(e\left(\frac{227}{273}\right)\)	\(e\left(\frac{193}{273}\right)\)	\(e\left(\frac{184}{273}\right)\)	\(e\left(\frac{76}{91}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{10}{91}\right)\)	\(e\left(\frac{269}{273}\right)\)
\(\chi_{6017}(35,\cdot)\)	6017.ch	910	yes	\(-1\)	\(1\)	\(e\left(\frac{561}{910}\right)\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{106}{455}\right)\)	\(e\left(\frac{387}{455}\right)\)	\(e\left(\frac{899}{910}\right)\)	\(e\left(\frac{817}{910}\right)\)	\(e\left(\frac{773}{910}\right)\)	\(e\left(\frac{26}{35}\right)\)	\(e\left(\frac{85}{182}\right)\)	\(e\left(\frac{55}{91}\right)\)

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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.