LMFDB - Group of Dirichlet characters of modulus 6029

Show commands: PariGP / SageMath

sage: H = DirichletGroup(6029)

pari: g = idealstar(,6029,2)

Character group

sage: G.order() pari: g.no
Order	=	6028
sage: H.invariants() pari: g.cyc
Structure	=	$C_{6028}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{6029}(2,\cdot)$

First 32 of 6028 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	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{6029}(1,\cdot)$	6029.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{6029}(2,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{1}{6028}\right)$	$e\left(\frac{5667}{6028}\right)$	$e\left(\frac{1}{3014}\right)$	$e\left(\frac{1126}{1507}\right)$	$e\left(\frac{1417}{1507}\right)$	$e\left(\frac{2561}{3014}\right)$	$e\left(\frac{3}{6028}\right)$	$e\left(\frac{2653}{3014}\right)$	$e\left(\frac{4505}{6028}\right)$	$e\left(\frac{976}{1507}\right)$
$\chi_{6029}(3,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{5667}{6028}\right)$	$e\left(\frac{3733}{6028}\right)$	$e\left(\frac{2653}{3014}\right)$	$e\left(\frac{404}{1507}\right)$	$e\left(\frac{843}{1507}\right)$	$e\left(\frac{777}{3014}\right)$	$e\left(\frac{4945}{6028}\right)$	$e\left(\frac{719}{3014}\right)$	$e\left(\frac{1255}{6028}\right)$	$e\left(\frac{302}{1507}\right)$
$\chi_{6029}(4,\cdot)$	6029.k	3014	yes	$1$	$1$	$e\left(\frac{1}{3014}\right)$	$e\left(\frac{2653}{3014}\right)$	$e\left(\frac{1}{1507}\right)$	$e\left(\frac{745}{1507}\right)$	$e\left(\frac{1327}{1507}\right)$	$e\left(\frac{1054}{1507}\right)$	$e\left(\frac{3}{3014}\right)$	$e\left(\frac{1146}{1507}\right)$	$e\left(\frac{1491}{3014}\right)$	$e\left(\frac{445}{1507}\right)$
$\chi_{6029}(5,\cdot)$	6029.j	1507	yes	$1$	$1$	$e\left(\frac{1126}{1507}\right)$	$e\left(\frac{404}{1507}\right)$	$e\left(\frac{745}{1507}\right)$	$e\left(\frac{449}{1507}\right)$	$e\left(\frac{23}{1507}\right)$	$e\left(\frac{83}{1507}\right)$	$e\left(\frac{364}{1507}\right)$	$e\left(\frac{808}{1507}\right)$	$e\left(\frac{68}{1507}\right)$	$e\left(\frac{1492}{1507}\right)$
$\chi_{6029}(6,\cdot)$	6029.j	1507	yes	$1$	$1$	$e\left(\frac{1417}{1507}\right)$	$e\left(\frac{843}{1507}\right)$	$e\left(\frac{1327}{1507}\right)$	$e\left(\frac{23}{1507}\right)$	$e\left(\frac{753}{1507}\right)$	$e\left(\frac{162}{1507}\right)$	$e\left(\frac{1237}{1507}\right)$	$e\left(\frac{179}{1507}\right)$	$e\left(\frac{1440}{1507}\right)$	$e\left(\frac{1278}{1507}\right)$
$\chi_{6029}(7,\cdot)$	6029.k	3014	yes	$1$	$1$	$e\left(\frac{2561}{3014}\right)$	$e\left(\frac{777}{3014}\right)$	$e\left(\frac{1054}{1507}\right)$	$e\left(\frac{83}{1507}\right)$	$e\left(\frac{162}{1507}\right)$	$e\left(\frac{257}{1507}\right)$	$e\left(\frac{1655}{3014}\right)$	$e\left(\frac{777}{1507}\right)$	$e\left(\frac{2727}{3014}\right)$	$e\left(\frac{353}{1507}\right)$
$\chi_{6029}(8,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{3}{6028}\right)$	$e\left(\frac{4945}{6028}\right)$	$e\left(\frac{3}{3014}\right)$	$e\left(\frac{364}{1507}\right)$	$e\left(\frac{1237}{1507}\right)$	$e\left(\frac{1655}{3014}\right)$	$e\left(\frac{9}{6028}\right)$	$e\left(\frac{1931}{3014}\right)$	$e\left(\frac{1459}{6028}\right)$	$e\left(\frac{1421}{1507}\right)$
$\chi_{6029}(9,\cdot)$	6029.k	3014	yes	$1$	$1$	$e\left(\frac{2653}{3014}\right)$	$e\left(\frac{719}{3014}\right)$	$e\left(\frac{1146}{1507}\right)$	$e\left(\frac{808}{1507}\right)$	$e\left(\frac{179}{1507}\right)$	$e\left(\frac{777}{1507}\right)$	$e\left(\frac{1931}{3014}\right)$	$e\left(\frac{719}{1507}\right)$	$e\left(\frac{1255}{3014}\right)$	$e\left(\frac{604}{1507}\right)$
$\chi_{6029}(10,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{4505}{6028}\right)$	$e\left(\frac{1255}{6028}\right)$	$e\left(\frac{1491}{3014}\right)$	$e\left(\frac{68}{1507}\right)$	$e\left(\frac{1440}{1507}\right)$	$e\left(\frac{2727}{3014}\right)$	$e\left(\frac{1459}{6028}\right)$	$e\left(\frac{1255}{3014}\right)$	$e\left(\frac{4777}{6028}\right)$	$e\left(\frac{961}{1507}\right)$
$\chi_{6029}(11,\cdot)$	6029.j	1507	yes	$1$	$1$	$e\left(\frac{976}{1507}\right)$	$e\left(\frac{302}{1507}\right)$	$e\left(\frac{445}{1507}\right)$	$e\left(\frac{1492}{1507}\right)$	$e\left(\frac{1278}{1507}\right)$	$e\left(\frac{353}{1507}\right)$	$e\left(\frac{1421}{1507}\right)$	$e\left(\frac{604}{1507}\right)$	$e\left(\frac{961}{1507}\right)$	$e\left(\frac{608}{1507}\right)$
$\chi_{6029}(12,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{5669}{6028}\right)$	$e\left(\frac{3011}{6028}\right)$	$e\left(\frac{2655}{3014}\right)$	$e\left(\frac{1149}{1507}\right)$	$e\left(\frac{663}{1507}\right)$	$e\left(\frac{2885}{3014}\right)$	$e\left(\frac{4951}{6028}\right)$	$e\left(\frac{3011}{3014}\right)$	$e\left(\frac{4237}{6028}\right)$	$e\left(\frac{747}{1507}\right)$
$\chi_{6029}(13,\cdot)$	6029.k	3014	yes	$1$	$1$	$e\left(\frac{775}{3014}\right)$	$e\left(\frac{527}{3014}\right)$	$e\left(\frac{775}{1507}\right)$	$e\left(\frac{194}{1507}\right)$	$e\left(\frac{651}{1507}\right)$	$e\left(\frac{56}{1507}\right)$	$e\left(\frac{2325}{3014}\right)$	$e\left(\frac{527}{1507}\right)$	$e\left(\frac{1163}{3014}\right)$	$e\left(\frac{1279}{1507}\right)$
$\chi_{6029}(14,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{5123}{6028}\right)$	$e\left(\frac{1193}{6028}\right)$	$e\left(\frac{2109}{3014}\right)$	$e\left(\frac{1209}{1507}\right)$	$e\left(\frac{72}{1507}\right)$	$e\left(\frac{61}{3014}\right)$	$e\left(\frac{3313}{6028}\right)$	$e\left(\frac{1193}{3014}\right)$	$e\left(\frac{3931}{6028}\right)$	$e\left(\frac{1329}{1507}\right)$
$\chi_{6029}(15,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{4143}{6028}\right)$	$e\left(\frac{5349}{6028}\right)$	$e\left(\frac{1129}{3014}\right)$	$e\left(\frac{853}{1507}\right)$	$e\left(\frac{866}{1507}\right)$	$e\left(\frac{943}{3014}\right)$	$e\left(\frac{373}{6028}\right)$	$e\left(\frac{2335}{3014}\right)$	$e\left(\frac{1527}{6028}\right)$	$e\left(\frac{287}{1507}\right)$
$\chi_{6029}(16,\cdot)$	6029.j	1507	yes	$1$	$1$	$e\left(\frac{1}{1507}\right)$	$e\left(\frac{1146}{1507}\right)$	$e\left(\frac{2}{1507}\right)$	$e\left(\frac{1490}{1507}\right)$	$e\left(\frac{1147}{1507}\right)$	$e\left(\frac{601}{1507}\right)$	$e\left(\frac{3}{1507}\right)$	$e\left(\frac{785}{1507}\right)$	$e\left(\frac{1491}{1507}\right)$	$e\left(\frac{890}{1507}\right)$
$\chi_{6029}(17,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{2887}{6028}\right)$	$e\left(\frac{637}{6028}\right)$	$e\left(\frac{2887}{3014}\right)$	$e\left(\frac{163}{1507}\right)$	$e\left(\frac{881}{1507}\right)$	$e\left(\frac{265}{3014}\right)$	$e\left(\frac{2633}{6028}\right)$	$e\left(\frac{637}{3014}\right)$	$e\left(\frac{3539}{6028}\right)$	$e\left(\frac{1129}{1507}\right)$
$\chi_{6029}(18,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{5307}{6028}\right)$	$e\left(\frac{1077}{6028}\right)$	$e\left(\frac{2293}{3014}\right)$	$e\left(\frac{427}{1507}\right)$	$e\left(\frac{89}{1507}\right)$	$e\left(\frac{1101}{3014}\right)$	$e\left(\frac{3865}{6028}\right)$	$e\left(\frac{1077}{3014}\right)$	$e\left(\frac{987}{6028}\right)$	$e\left(\frac{73}{1507}\right)$
$\chi_{6029}(19,\cdot)$	6029.j	1507	yes	$1$	$1$	$e\left(\frac{1011}{1507}\right)$	$e\left(\frac{1230}{1507}\right)$	$e\left(\frac{515}{1507}\right)$	$e\left(\frac{897}{1507}\right)$	$e\left(\frac{734}{1507}\right)$	$e\left(\frac{290}{1507}\right)$	$e\left(\frac{19}{1507}\right)$	$e\left(\frac{953}{1507}\right)$	$e\left(\frac{401}{1507}\right)$	$e\left(\frac{111}{1507}\right)$
$\chi_{6029}(20,\cdot)$	6029.k	3014	yes	$1$	$1$	$e\left(\frac{2253}{3014}\right)$	$e\left(\frac{447}{3014}\right)$	$e\left(\frac{746}{1507}\right)$	$e\left(\frac{1194}{1507}\right)$	$e\left(\frac{1350}{1507}\right)$	$e\left(\frac{1137}{1507}\right)$	$e\left(\frac{731}{3014}\right)$	$e\left(\frac{447}{1507}\right)$	$e\left(\frac{1627}{3014}\right)$	$e\left(\frac{430}{1507}\right)$
$\chi_{6029}(21,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{4761}{6028}\right)$	$e\left(\frac{5287}{6028}\right)$	$e\left(\frac{1747}{3014}\right)$	$e\left(\frac{487}{1507}\right)$	$e\left(\frac{1005}{1507}\right)$	$e\left(\frac{1291}{3014}\right)$	$e\left(\frac{2227}{6028}\right)$	$e\left(\frac{2273}{3014}\right)$	$e\left(\frac{681}{6028}\right)$	$e\left(\frac{655}{1507}\right)$
$\chi_{6029}(22,\cdot)$	6029.i	548	yes	$-1$	$1$	$e\left(\frac{355}{548}\right)$	$e\left(\frac{77}{548}\right)$	$e\left(\frac{81}{274}\right)$	$e\left(\frac{101}{137}\right)$	$e\left(\frac{108}{137}\right)$	$e\left(\frac{23}{274}\right)$	$e\left(\frac{517}{548}\right)$	$e\left(\frac{77}{274}\right)$	$e\left(\frac{211}{548}\right)$	$e\left(\frac{7}{137}\right)$
$\chi_{6029}(23,\cdot)$	6029.k	3014	yes	$1$	$1$	$e\left(\frac{587}{3014}\right)$	$e\left(\frac{2087}{3014}\right)$	$e\left(\frac{587}{1507}\right)$	$e\left(\frac{285}{1507}\right)$	$e\left(\frac{1337}{1507}\right)$	$e\left(\frac{828}{1507}\right)$	$e\left(\frac{1761}{3014}\right)$	$e\left(\frac{580}{1507}\right)$	$e\left(\frac{1157}{3014}\right)$	$e\left(\frac{504}{1507}\right)$
$\chi_{6029}(24,\cdot)$	6029.k	3014	yes	$1$	$1$	$e\left(\frac{2835}{3014}\right)$	$e\left(\frac{1325}{3014}\right)$	$e\left(\frac{1328}{1507}\right)$	$e\left(\frac{768}{1507}\right)$	$e\left(\frac{573}{1507}\right)$	$e\left(\frac{1216}{1507}\right)$	$e\left(\frac{2477}{3014}\right)$	$e\left(\frac{1325}{1507}\right)$	$e\left(\frac{1357}{3014}\right)$	$e\left(\frac{216}{1507}\right)$
$\chi_{6029}(25,\cdot)$	6029.j	1507	yes	$1$	$1$	$e\left(\frac{745}{1507}\right)$	$e\left(\frac{808}{1507}\right)$	$e\left(\frac{1490}{1507}\right)$	$e\left(\frac{898}{1507}\right)$	$e\left(\frac{46}{1507}\right)$	$e\left(\frac{166}{1507}\right)$	$e\left(\frac{728}{1507}\right)$	$e\left(\frac{109}{1507}\right)$	$e\left(\frac{136}{1507}\right)$	$e\left(\frac{1477}{1507}\right)$
$\chi_{6029}(26,\cdot)$	6029.i	548	yes	$-1$	$1$	$e\left(\frac{141}{548}\right)$	$e\left(\frac{63}{548}\right)$	$e\left(\frac{141}{274}\right)$	$e\left(\frac{120}{137}\right)$	$e\left(\frac{51}{137}\right)$	$e\left(\frac{243}{274}\right)$	$e\left(\frac{423}{548}\right)$	$e\left(\frac{63}{274}\right)$	$e\left(\frac{73}{548}\right)$	$e\left(\frac{68}{137}\right)$
$\chi_{6029}(27,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{4945}{6028}\right)$	$e\left(\frac{5171}{6028}\right)$	$e\left(\frac{1931}{3014}\right)$	$e\left(\frac{1212}{1507}\right)$	$e\left(\frac{1022}{1507}\right)$	$e\left(\frac{2331}{3014}\right)$	$e\left(\frac{2779}{6028}\right)$	$e\left(\frac{2157}{3014}\right)$	$e\left(\frac{3765}{6028}\right)$	$e\left(\frac{906}{1507}\right)$
$\chi_{6029}(28,\cdot)$	6029.j	1507	yes	$1$	$1$	$e\left(\frac{1281}{1507}\right)$	$e\left(\frac{208}{1507}\right)$	$e\left(\frac{1055}{1507}\right)$	$e\left(\frac{828}{1507}\right)$	$e\left(\frac{1489}{1507}\right)$	$e\left(\frac{1311}{1507}\right)$	$e\left(\frac{829}{1507}\right)$	$e\left(\frac{416}{1507}\right)$	$e\left(\frac{602}{1507}\right)$	$e\left(\frac{798}{1507}\right)$
$\chi_{6029}(29,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{4113}{6028}\right)$	$e\left(\frac{4123}{6028}\right)$	$e\left(\frac{1099}{3014}\right)$	$e\left(\frac{227}{1507}\right)$	$e\left(\frac{552}{1507}\right)$	$e\left(\frac{2477}{3014}\right)$	$e\left(\frac{283}{6028}\right)$	$e\left(\frac{1109}{3014}\right)$	$e\left(\frac{5021}{6028}\right)$	$e\left(\frac{1147}{1507}\right)$
$\chi_{6029}(30,\cdot)$	6029.j	1507	yes	$1$	$1$	$e\left(\frac{1036}{1507}\right)$	$e\left(\frac{1247}{1507}\right)$	$e\left(\frac{565}{1507}\right)$	$e\left(\frac{472}{1507}\right)$	$e\left(\frac{776}{1507}\right)$	$e\left(\frac{245}{1507}\right)$	$e\left(\frac{94}{1507}\right)$	$e\left(\frac{987}{1507}\right)$	$e\left(\frac{1}{1507}\right)$	$e\left(\frac{1263}{1507}\right)$
$\chi_{6029}(31,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{339}{6028}\right)$	$e\left(\frac{4209}{6028}\right)$	$e\left(\frac{339}{3014}\right)$	$e\left(\frac{443}{1507}\right)$	$e\left(\frac{1137}{1507}\right)$	$e\left(\frac{147}{3014}\right)$	$e\left(\frac{1017}{6028}\right)$	$e\left(\frac{1195}{3014}\right)$	$e\left(\frac{2111}{6028}\right)$	$e\left(\frac{831}{1507}\right)$
$\chi_{6029}(32,\cdot)$	6029.l	6028	yes	$-1$	$1$	$e\left(\frac{5}{6028}\right)$	$e\left(\frac{4223}{6028}\right)$	$e\left(\frac{5}{3014}\right)$	$e\left(\frac{1109}{1507}\right)$	$e\left(\frac{1057}{1507}\right)$	$e\left(\frac{749}{3014}\right)$	$e\left(\frac{15}{6028}\right)$	$e\left(\frac{1209}{3014}\right)$	$e\left(\frac{4441}{6028}\right)$	$e\left(\frac{359}{1507}\right)$

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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	$6029$
Structure	\(C_{6028}\)
Order	$6028$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\(\chi_{6029}(1,\cdot)\)	6029.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{6029}(2,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{1}{6028}\right)\)	\(e\left(\frac{5667}{6028}\right)\)	\(e\left(\frac{1}{3014}\right)\)	\(e\left(\frac{1126}{1507}\right)\)	\(e\left(\frac{1417}{1507}\right)\)	\(e\left(\frac{2561}{3014}\right)\)	\(e\left(\frac{3}{6028}\right)\)	\(e\left(\frac{2653}{3014}\right)\)	\(e\left(\frac{4505}{6028}\right)\)	\(e\left(\frac{976}{1507}\right)\)
\(\chi_{6029}(3,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{5667}{6028}\right)\)	\(e\left(\frac{3733}{6028}\right)\)	\(e\left(\frac{2653}{3014}\right)\)	\(e\left(\frac{404}{1507}\right)\)	\(e\left(\frac{843}{1507}\right)\)	\(e\left(\frac{777}{3014}\right)\)	\(e\left(\frac{4945}{6028}\right)\)	\(e\left(\frac{719}{3014}\right)\)	\(e\left(\frac{1255}{6028}\right)\)	\(e\left(\frac{302}{1507}\right)\)
\(\chi_{6029}(4,\cdot)\)	6029.k	3014	yes	\(1\)	\(1\)	\(e\left(\frac{1}{3014}\right)\)	\(e\left(\frac{2653}{3014}\right)\)	\(e\left(\frac{1}{1507}\right)\)	\(e\left(\frac{745}{1507}\right)\)	\(e\left(\frac{1327}{1507}\right)\)	\(e\left(\frac{1054}{1507}\right)\)	\(e\left(\frac{3}{3014}\right)\)	\(e\left(\frac{1146}{1507}\right)\)	\(e\left(\frac{1491}{3014}\right)\)	\(e\left(\frac{445}{1507}\right)\)
\(\chi_{6029}(5,\cdot)\)	6029.j	1507	yes	\(1\)	\(1\)	\(e\left(\frac{1126}{1507}\right)\)	\(e\left(\frac{404}{1507}\right)\)	\(e\left(\frac{745}{1507}\right)\)	\(e\left(\frac{449}{1507}\right)\)	\(e\left(\frac{23}{1507}\right)\)	\(e\left(\frac{83}{1507}\right)\)	\(e\left(\frac{364}{1507}\right)\)	\(e\left(\frac{808}{1507}\right)\)	\(e\left(\frac{68}{1507}\right)\)	\(e\left(\frac{1492}{1507}\right)\)
\(\chi_{6029}(6,\cdot)\)	6029.j	1507	yes	\(1\)	\(1\)	\(e\left(\frac{1417}{1507}\right)\)	\(e\left(\frac{843}{1507}\right)\)	\(e\left(\frac{1327}{1507}\right)\)	\(e\left(\frac{23}{1507}\right)\)	\(e\left(\frac{753}{1507}\right)\)	\(e\left(\frac{162}{1507}\right)\)	\(e\left(\frac{1237}{1507}\right)\)	\(e\left(\frac{179}{1507}\right)\)	\(e\left(\frac{1440}{1507}\right)\)	\(e\left(\frac{1278}{1507}\right)\)
\(\chi_{6029}(7,\cdot)\)	6029.k	3014	yes	\(1\)	\(1\)	\(e\left(\frac{2561}{3014}\right)\)	\(e\left(\frac{777}{3014}\right)\)	\(e\left(\frac{1054}{1507}\right)\)	\(e\left(\frac{83}{1507}\right)\)	\(e\left(\frac{162}{1507}\right)\)	\(e\left(\frac{257}{1507}\right)\)	\(e\left(\frac{1655}{3014}\right)\)	\(e\left(\frac{777}{1507}\right)\)	\(e\left(\frac{2727}{3014}\right)\)	\(e\left(\frac{353}{1507}\right)\)
\(\chi_{6029}(8,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{3}{6028}\right)\)	\(e\left(\frac{4945}{6028}\right)\)	\(e\left(\frac{3}{3014}\right)\)	\(e\left(\frac{364}{1507}\right)\)	\(e\left(\frac{1237}{1507}\right)\)	\(e\left(\frac{1655}{3014}\right)\)	\(e\left(\frac{9}{6028}\right)\)	\(e\left(\frac{1931}{3014}\right)\)	\(e\left(\frac{1459}{6028}\right)\)	\(e\left(\frac{1421}{1507}\right)\)
\(\chi_{6029}(9,\cdot)\)	6029.k	3014	yes	\(1\)	\(1\)	\(e\left(\frac{2653}{3014}\right)\)	\(e\left(\frac{719}{3014}\right)\)	\(e\left(\frac{1146}{1507}\right)\)	\(e\left(\frac{808}{1507}\right)\)	\(e\left(\frac{179}{1507}\right)\)	\(e\left(\frac{777}{1507}\right)\)	\(e\left(\frac{1931}{3014}\right)\)	\(e\left(\frac{719}{1507}\right)\)	\(e\left(\frac{1255}{3014}\right)\)	\(e\left(\frac{604}{1507}\right)\)
\(\chi_{6029}(10,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{4505}{6028}\right)\)	\(e\left(\frac{1255}{6028}\right)\)	\(e\left(\frac{1491}{3014}\right)\)	\(e\left(\frac{68}{1507}\right)\)	\(e\left(\frac{1440}{1507}\right)\)	\(e\left(\frac{2727}{3014}\right)\)	\(e\left(\frac{1459}{6028}\right)\)	\(e\left(\frac{1255}{3014}\right)\)	\(e\left(\frac{4777}{6028}\right)\)	\(e\left(\frac{961}{1507}\right)\)
\(\chi_{6029}(11,\cdot)\)	6029.j	1507	yes	\(1\)	\(1\)	\(e\left(\frac{976}{1507}\right)\)	\(e\left(\frac{302}{1507}\right)\)	\(e\left(\frac{445}{1507}\right)\)	\(e\left(\frac{1492}{1507}\right)\)	\(e\left(\frac{1278}{1507}\right)\)	\(e\left(\frac{353}{1507}\right)\)	\(e\left(\frac{1421}{1507}\right)\)	\(e\left(\frac{604}{1507}\right)\)	\(e\left(\frac{961}{1507}\right)\)	\(e\left(\frac{608}{1507}\right)\)
\(\chi_{6029}(12,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{5669}{6028}\right)\)	\(e\left(\frac{3011}{6028}\right)\)	\(e\left(\frac{2655}{3014}\right)\)	\(e\left(\frac{1149}{1507}\right)\)	\(e\left(\frac{663}{1507}\right)\)	\(e\left(\frac{2885}{3014}\right)\)	\(e\left(\frac{4951}{6028}\right)\)	\(e\left(\frac{3011}{3014}\right)\)	\(e\left(\frac{4237}{6028}\right)\)	\(e\left(\frac{747}{1507}\right)\)
\(\chi_{6029}(13,\cdot)\)	6029.k	3014	yes	\(1\)	\(1\)	\(e\left(\frac{775}{3014}\right)\)	\(e\left(\frac{527}{3014}\right)\)	\(e\left(\frac{775}{1507}\right)\)	\(e\left(\frac{194}{1507}\right)\)	\(e\left(\frac{651}{1507}\right)\)	\(e\left(\frac{56}{1507}\right)\)	\(e\left(\frac{2325}{3014}\right)\)	\(e\left(\frac{527}{1507}\right)\)	\(e\left(\frac{1163}{3014}\right)\)	\(e\left(\frac{1279}{1507}\right)\)
\(\chi_{6029}(14,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{5123}{6028}\right)\)	\(e\left(\frac{1193}{6028}\right)\)	\(e\left(\frac{2109}{3014}\right)\)	\(e\left(\frac{1209}{1507}\right)\)	\(e\left(\frac{72}{1507}\right)\)	\(e\left(\frac{61}{3014}\right)\)	\(e\left(\frac{3313}{6028}\right)\)	\(e\left(\frac{1193}{3014}\right)\)	\(e\left(\frac{3931}{6028}\right)\)	\(e\left(\frac{1329}{1507}\right)\)
\(\chi_{6029}(15,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{4143}{6028}\right)\)	\(e\left(\frac{5349}{6028}\right)\)	\(e\left(\frac{1129}{3014}\right)\)	\(e\left(\frac{853}{1507}\right)\)	\(e\left(\frac{866}{1507}\right)\)	\(e\left(\frac{943}{3014}\right)\)	\(e\left(\frac{373}{6028}\right)\)	\(e\left(\frac{2335}{3014}\right)\)	\(e\left(\frac{1527}{6028}\right)\)	\(e\left(\frac{287}{1507}\right)\)
\(\chi_{6029}(16,\cdot)\)	6029.j	1507	yes	\(1\)	\(1\)	\(e\left(\frac{1}{1507}\right)\)	\(e\left(\frac{1146}{1507}\right)\)	\(e\left(\frac{2}{1507}\right)\)	\(e\left(\frac{1490}{1507}\right)\)	\(e\left(\frac{1147}{1507}\right)\)	\(e\left(\frac{601}{1507}\right)\)	\(e\left(\frac{3}{1507}\right)\)	\(e\left(\frac{785}{1507}\right)\)	\(e\left(\frac{1491}{1507}\right)\)	\(e\left(\frac{890}{1507}\right)\)
\(\chi_{6029}(17,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{2887}{6028}\right)\)	\(e\left(\frac{637}{6028}\right)\)	\(e\left(\frac{2887}{3014}\right)\)	\(e\left(\frac{163}{1507}\right)\)	\(e\left(\frac{881}{1507}\right)\)	\(e\left(\frac{265}{3014}\right)\)	\(e\left(\frac{2633}{6028}\right)\)	\(e\left(\frac{637}{3014}\right)\)	\(e\left(\frac{3539}{6028}\right)\)	\(e\left(\frac{1129}{1507}\right)\)
\(\chi_{6029}(18,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{5307}{6028}\right)\)	\(e\left(\frac{1077}{6028}\right)\)	\(e\left(\frac{2293}{3014}\right)\)	\(e\left(\frac{427}{1507}\right)\)	\(e\left(\frac{89}{1507}\right)\)	\(e\left(\frac{1101}{3014}\right)\)	\(e\left(\frac{3865}{6028}\right)\)	\(e\left(\frac{1077}{3014}\right)\)	\(e\left(\frac{987}{6028}\right)\)	\(e\left(\frac{73}{1507}\right)\)
\(\chi_{6029}(19,\cdot)\)	6029.j	1507	yes	\(1\)	\(1\)	\(e\left(\frac{1011}{1507}\right)\)	\(e\left(\frac{1230}{1507}\right)\)	\(e\left(\frac{515}{1507}\right)\)	\(e\left(\frac{897}{1507}\right)\)	\(e\left(\frac{734}{1507}\right)\)	\(e\left(\frac{290}{1507}\right)\)	\(e\left(\frac{19}{1507}\right)\)	\(e\left(\frac{953}{1507}\right)\)	\(e\left(\frac{401}{1507}\right)\)	\(e\left(\frac{111}{1507}\right)\)
\(\chi_{6029}(20,\cdot)\)	6029.k	3014	yes	\(1\)	\(1\)	\(e\left(\frac{2253}{3014}\right)\)	\(e\left(\frac{447}{3014}\right)\)	\(e\left(\frac{746}{1507}\right)\)	\(e\left(\frac{1194}{1507}\right)\)	\(e\left(\frac{1350}{1507}\right)\)	\(e\left(\frac{1137}{1507}\right)\)	\(e\left(\frac{731}{3014}\right)\)	\(e\left(\frac{447}{1507}\right)\)	\(e\left(\frac{1627}{3014}\right)\)	\(e\left(\frac{430}{1507}\right)\)
\(\chi_{6029}(21,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{4761}{6028}\right)\)	\(e\left(\frac{5287}{6028}\right)\)	\(e\left(\frac{1747}{3014}\right)\)	\(e\left(\frac{487}{1507}\right)\)	\(e\left(\frac{1005}{1507}\right)\)	\(e\left(\frac{1291}{3014}\right)\)	\(e\left(\frac{2227}{6028}\right)\)	\(e\left(\frac{2273}{3014}\right)\)	\(e\left(\frac{681}{6028}\right)\)	\(e\left(\frac{655}{1507}\right)\)
\(\chi_{6029}(22,\cdot)\)	6029.i	548	yes	\(-1\)	\(1\)	\(e\left(\frac{355}{548}\right)\)	\(e\left(\frac{77}{548}\right)\)	\(e\left(\frac{81}{274}\right)\)	\(e\left(\frac{101}{137}\right)\)	\(e\left(\frac{108}{137}\right)\)	\(e\left(\frac{23}{274}\right)\)	\(e\left(\frac{517}{548}\right)\)	\(e\left(\frac{77}{274}\right)\)	\(e\left(\frac{211}{548}\right)\)	\(e\left(\frac{7}{137}\right)\)
\(\chi_{6029}(23,\cdot)\)	6029.k	3014	yes	\(1\)	\(1\)	\(e\left(\frac{587}{3014}\right)\)	\(e\left(\frac{2087}{3014}\right)\)	\(e\left(\frac{587}{1507}\right)\)	\(e\left(\frac{285}{1507}\right)\)	\(e\left(\frac{1337}{1507}\right)\)	\(e\left(\frac{828}{1507}\right)\)	\(e\left(\frac{1761}{3014}\right)\)	\(e\left(\frac{580}{1507}\right)\)	\(e\left(\frac{1157}{3014}\right)\)	\(e\left(\frac{504}{1507}\right)\)
\(\chi_{6029}(24,\cdot)\)	6029.k	3014	yes	\(1\)	\(1\)	\(e\left(\frac{2835}{3014}\right)\)	\(e\left(\frac{1325}{3014}\right)\)	\(e\left(\frac{1328}{1507}\right)\)	\(e\left(\frac{768}{1507}\right)\)	\(e\left(\frac{573}{1507}\right)\)	\(e\left(\frac{1216}{1507}\right)\)	\(e\left(\frac{2477}{3014}\right)\)	\(e\left(\frac{1325}{1507}\right)\)	\(e\left(\frac{1357}{3014}\right)\)	\(e\left(\frac{216}{1507}\right)\)
\(\chi_{6029}(25,\cdot)\)	6029.j	1507	yes	\(1\)	\(1\)	\(e\left(\frac{745}{1507}\right)\)	\(e\left(\frac{808}{1507}\right)\)	\(e\left(\frac{1490}{1507}\right)\)	\(e\left(\frac{898}{1507}\right)\)	\(e\left(\frac{46}{1507}\right)\)	\(e\left(\frac{166}{1507}\right)\)	\(e\left(\frac{728}{1507}\right)\)	\(e\left(\frac{109}{1507}\right)\)	\(e\left(\frac{136}{1507}\right)\)	\(e\left(\frac{1477}{1507}\right)\)
\(\chi_{6029}(26,\cdot)\)	6029.i	548	yes	\(-1\)	\(1\)	\(e\left(\frac{141}{548}\right)\)	\(e\left(\frac{63}{548}\right)\)	\(e\left(\frac{141}{274}\right)\)	\(e\left(\frac{120}{137}\right)\)	\(e\left(\frac{51}{137}\right)\)	\(e\left(\frac{243}{274}\right)\)	\(e\left(\frac{423}{548}\right)\)	\(e\left(\frac{63}{274}\right)\)	\(e\left(\frac{73}{548}\right)\)	\(e\left(\frac{68}{137}\right)\)
\(\chi_{6029}(27,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{4945}{6028}\right)\)	\(e\left(\frac{5171}{6028}\right)\)	\(e\left(\frac{1931}{3014}\right)\)	\(e\left(\frac{1212}{1507}\right)\)	\(e\left(\frac{1022}{1507}\right)\)	\(e\left(\frac{2331}{3014}\right)\)	\(e\left(\frac{2779}{6028}\right)\)	\(e\left(\frac{2157}{3014}\right)\)	\(e\left(\frac{3765}{6028}\right)\)	\(e\left(\frac{906}{1507}\right)\)
\(\chi_{6029}(28,\cdot)\)	6029.j	1507	yes	\(1\)	\(1\)	\(e\left(\frac{1281}{1507}\right)\)	\(e\left(\frac{208}{1507}\right)\)	\(e\left(\frac{1055}{1507}\right)\)	\(e\left(\frac{828}{1507}\right)\)	\(e\left(\frac{1489}{1507}\right)\)	\(e\left(\frac{1311}{1507}\right)\)	\(e\left(\frac{829}{1507}\right)\)	\(e\left(\frac{416}{1507}\right)\)	\(e\left(\frac{602}{1507}\right)\)	\(e\left(\frac{798}{1507}\right)\)
\(\chi_{6029}(29,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{4113}{6028}\right)\)	\(e\left(\frac{4123}{6028}\right)\)	\(e\left(\frac{1099}{3014}\right)\)	\(e\left(\frac{227}{1507}\right)\)	\(e\left(\frac{552}{1507}\right)\)	\(e\left(\frac{2477}{3014}\right)\)	\(e\left(\frac{283}{6028}\right)\)	\(e\left(\frac{1109}{3014}\right)\)	\(e\left(\frac{5021}{6028}\right)\)	\(e\left(\frac{1147}{1507}\right)\)
\(\chi_{6029}(30,\cdot)\)	6029.j	1507	yes	\(1\)	\(1\)	\(e\left(\frac{1036}{1507}\right)\)	\(e\left(\frac{1247}{1507}\right)\)	\(e\left(\frac{565}{1507}\right)\)	\(e\left(\frac{472}{1507}\right)\)	\(e\left(\frac{776}{1507}\right)\)	\(e\left(\frac{245}{1507}\right)\)	\(e\left(\frac{94}{1507}\right)\)	\(e\left(\frac{987}{1507}\right)\)	\(e\left(\frac{1}{1507}\right)\)	\(e\left(\frac{1263}{1507}\right)\)
\(\chi_{6029}(31,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{339}{6028}\right)\)	\(e\left(\frac{4209}{6028}\right)\)	\(e\left(\frac{339}{3014}\right)\)	\(e\left(\frac{443}{1507}\right)\)	\(e\left(\frac{1137}{1507}\right)\)	\(e\left(\frac{147}{3014}\right)\)	\(e\left(\frac{1017}{6028}\right)\)	\(e\left(\frac{1195}{3014}\right)\)	\(e\left(\frac{2111}{6028}\right)\)	\(e\left(\frac{831}{1507}\right)\)
\(\chi_{6029}(32,\cdot)\)	6029.l	6028	yes	\(-1\)	\(1\)	\(e\left(\frac{5}{6028}\right)\)	\(e\left(\frac{4223}{6028}\right)\)	\(e\left(\frac{5}{3014}\right)\)	\(e\left(\frac{1109}{1507}\right)\)	\(e\left(\frac{1057}{1507}\right)\)	\(e\left(\frac{749}{3014}\right)\)	\(e\left(\frac{15}{6028}\right)\)	\(e\left(\frac{1209}{3014}\right)\)	\(e\left(\frac{4441}{6028}\right)\)	\(e\left(\frac{359}{1507}\right)\)

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Character group

First 32 of 6028 characters

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.