LMFDB - Group of Dirichlet characters of modulus 6046

Show commands: PariGP / SageMath

sage: H = DirichletGroup(6046)

pari: g = idealstar(,6046,2)

Character group

sage: G.order() pari: g.no
Order	=	3022
sage: H.invariants() pari: g.cyc
Structure	=	$C_{3022}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{6046}(5,\cdot)$

First 32 of 3022 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	$-1$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$	$17$	$19$	$21$
$\chi_{6046}(1,\cdot)$	6046.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{6046}(3,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{1354}{1511}\right)$	$e\left(\frac{506}{1511}\right)$	$e\left(\frac{1402}{1511}\right)$	$e\left(\frac{1197}{1511}\right)$	$e\left(\frac{322}{1511}\right)$	$e\left(\frac{740}{1511}\right)$	$e\left(\frac{349}{1511}\right)$	$e\left(\frac{1031}{1511}\right)$	$e\left(\frac{1311}{1511}\right)$	$e\left(\frac{1245}{1511}\right)$
$\chi_{6046}(5,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{506}{1511}\right)$	$e\left(\frac{1}{3022}\right)$	$e\left(\frac{948}{1511}\right)$	$e\left(\frac{1012}{1511}\right)$	$e\left(\frac{1649}{3022}\right)$	$e\left(\frac{533}{3022}\right)$	$e\left(\frac{1013}{3022}\right)$	$e\left(\frac{1737}{3022}\right)$	$e\left(\frac{173}{1511}\right)$	$e\left(\frac{1454}{1511}\right)$
$\chi_{6046}(7,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{1402}{1511}\right)$	$e\left(\frac{948}{1511}\right)$	$e\left(\frac{829}{1511}\right)$	$e\left(\frac{1293}{1511}\right)$	$e\left(\frac{878}{1511}\right)$	$e\left(\frac{610}{1511}\right)$	$e\left(\frac{839}{1511}\right)$	$e\left(\frac{1197}{1511}\right)$	$e\left(\frac{121}{1511}\right)$	$e\left(\frac{720}{1511}\right)$
$\chi_{6046}(9,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{1197}{1511}\right)$	$e\left(\frac{1012}{1511}\right)$	$e\left(\frac{1293}{1511}\right)$	$e\left(\frac{883}{1511}\right)$	$e\left(\frac{644}{1511}\right)$	$e\left(\frac{1480}{1511}\right)$	$e\left(\frac{698}{1511}\right)$	$e\left(\frac{551}{1511}\right)$	$e\left(\frac{1111}{1511}\right)$	$e\left(\frac{979}{1511}\right)$
$\chi_{6046}(11,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{322}{1511}\right)$	$e\left(\frac{1649}{3022}\right)$	$e\left(\frac{878}{1511}\right)$	$e\left(\frac{644}{1511}\right)$	$e\left(\frac{2423}{3022}\right)$	$e\left(\frac{2537}{3022}\right)$	$e\left(\frac{2293}{3022}\right)$	$e\left(\frac{2479}{3022}\right)$	$e\left(\frac{1209}{1511}\right)$	$e\left(\frac{1200}{1511}\right)$
$\chi_{6046}(13,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{740}{1511}\right)$	$e\left(\frac{533}{3022}\right)$	$e\left(\frac{610}{1511}\right)$	$e\left(\frac{1480}{1511}\right)$	$e\left(\frac{2537}{3022}\right)$	$e\left(\frac{21}{3022}\right)$	$e\left(\frac{2013}{3022}\right)$	$e\left(\frac{1089}{3022}\right)$	$e\left(\frac{38}{1511}\right)$	$e\left(\frac{1350}{1511}\right)$
$\chi_{6046}(15,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{349}{1511}\right)$	$e\left(\frac{1013}{3022}\right)$	$e\left(\frac{839}{1511}\right)$	$e\left(\frac{698}{1511}\right)$	$e\left(\frac{2293}{3022}\right)$	$e\left(\frac{2013}{3022}\right)$	$e\left(\frac{1711}{3022}\right)$	$e\left(\frac{777}{3022}\right)$	$e\left(\frac{1484}{1511}\right)$	$e\left(\frac{1188}{1511}\right)$
$\chi_{6046}(17,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{1031}{1511}\right)$	$e\left(\frac{1737}{3022}\right)$	$e\left(\frac{1197}{1511}\right)$	$e\left(\frac{551}{1511}\right)$	$e\left(\frac{2479}{3022}\right)$	$e\left(\frac{1089}{3022}\right)$	$e\left(\frac{777}{3022}\right)$	$e\left(\frac{1213}{3022}\right)$	$e\left(\frac{1323}{1511}\right)$	$e\left(\frac{717}{1511}\right)$
$\chi_{6046}(19,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{1311}{1511}\right)$	$e\left(\frac{173}{1511}\right)$	$e\left(\frac{121}{1511}\right)$	$e\left(\frac{1111}{1511}\right)$	$e\left(\frac{1209}{1511}\right)$	$e\left(\frac{38}{1511}\right)$	$e\left(\frac{1484}{1511}\right)$	$e\left(\frac{1323}{1511}\right)$	$e\left(\frac{929}{1511}\right)$	$e\left(\frac{1432}{1511}\right)$
$\chi_{6046}(21,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{1245}{1511}\right)$	$e\left(\frac{1454}{1511}\right)$	$e\left(\frac{720}{1511}\right)$	$e\left(\frac{979}{1511}\right)$	$e\left(\frac{1200}{1511}\right)$	$e\left(\frac{1350}{1511}\right)$	$e\left(\frac{1188}{1511}\right)$	$e\left(\frac{717}{1511}\right)$	$e\left(\frac{1432}{1511}\right)$	$e\left(\frac{454}{1511}\right)$
$\chi_{6046}(23,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{285}{1511}\right)$	$e\left(\frac{169}{1511}\right)$	$e\left(\frac{92}{1511}\right)$	$e\left(\frac{570}{1511}\right)$	$e\left(\frac{657}{1511}\right)$	$e\left(\frac{928}{1511}\right)$	$e\left(\frac{454}{1511}\right)$	$e\left(\frac{419}{1511}\right)$	$e\left(\frac{1056}{1511}\right)$	$e\left(\frac{377}{1511}\right)$
$\chi_{6046}(25,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{1012}{1511}\right)$	$e\left(\frac{1}{1511}\right)$	$e\left(\frac{385}{1511}\right)$	$e\left(\frac{513}{1511}\right)$	$e\left(\frac{138}{1511}\right)$	$e\left(\frac{533}{1511}\right)$	$e\left(\frac{1013}{1511}\right)$	$e\left(\frac{226}{1511}\right)$	$e\left(\frac{346}{1511}\right)$	$e\left(\frac{1397}{1511}\right)$
$\chi_{6046}(27,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{1040}{1511}\right)$	$e\left(\frac{7}{1511}\right)$	$e\left(\frac{1184}{1511}\right)$	$e\left(\frac{569}{1511}\right)$	$e\left(\frac{966}{1511}\right)$	$e\left(\frac{709}{1511}\right)$	$e\left(\frac{1047}{1511}\right)$	$e\left(\frac{71}{1511}\right)$	$e\left(\frac{911}{1511}\right)$	$e\left(\frac{713}{1511}\right)$
$\chi_{6046}(29,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{227}{1511}\right)$	$e\left(\frac{1020}{1511}\right)$	$e\left(\frac{1351}{1511}\right)$	$e\left(\frac{454}{1511}\right)$	$e\left(\frac{237}{1511}\right)$	$e\left(\frac{1211}{1511}\right)$	$e\left(\frac{1247}{1511}\right)$	$e\left(\frac{848}{1511}\right)$	$e\left(\frac{857}{1511}\right)$	$e\left(\frac{67}{1511}\right)$
$\chi_{6046}(31,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{422}{1511}\right)$	$e\left(\frac{2987}{3022}\right)$	$e\left(\frac{62}{1511}\right)$	$e\left(\frac{844}{1511}\right)$	$e\left(\frac{2725}{3022}\right)$	$e\left(\frac{2499}{3022}\right)$	$e\left(\frac{809}{3022}\right)$	$e\left(\frac{2667}{3022}\right)$	$e\left(\frac{1500}{1511}\right)$	$e\left(\frac{484}{1511}\right)$
$\chi_{6046}(33,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{165}{1511}\right)$	$e\left(\frac{2661}{3022}\right)$	$e\left(\frac{769}{1511}\right)$	$e\left(\frac{330}{1511}\right)$	$e\left(\frac{45}{3022}\right)$	$e\left(\frac{995}{3022}\right)$	$e\left(\frac{2991}{3022}\right)$	$e\left(\frac{1519}{3022}\right)$	$e\left(\frac{1009}{1511}\right)$	$e\left(\frac{934}{1511}\right)$
$\chi_{6046}(35,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{397}{1511}\right)$	$e\left(\frac{1897}{3022}\right)$	$e\left(\frac{266}{1511}\right)$	$e\left(\frac{794}{1511}\right)$	$e\left(\frac{383}{3022}\right)$	$e\left(\frac{1753}{3022}\right)$	$e\left(\frac{2691}{3022}\right)$	$e\left(\frac{1109}{3022}\right)$	$e\left(\frac{294}{1511}\right)$	$e\left(\frac{663}{1511}\right)$
$\chi_{6046}(37,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{2}{1511}\right)$	$e\left(\frac{648}{1511}\right)$	$e\left(\frac{165}{1511}\right)$	$e\left(\frac{4}{1511}\right)$	$e\left(\frac{275}{1511}\right)$	$e\left(\frac{876}{1511}\right)$	$e\left(\frac{650}{1511}\right)$	$e\left(\frac{1392}{1511}\right)$	$e\left(\frac{580}{1511}\right)$	$e\left(\frac{167}{1511}\right)$
$\chi_{6046}(39,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{583}{1511}\right)$	$e\left(\frac{1545}{3022}\right)$	$e\left(\frac{501}{1511}\right)$	$e\left(\frac{1166}{1511}\right)$	$e\left(\frac{159}{3022}\right)$	$e\left(\frac{1501}{3022}\right)$	$e\left(\frac{2711}{3022}\right)$	$e\left(\frac{129}{3022}\right)$	$e\left(\frac{1349}{1511}\right)$	$e\left(\frac{1084}{1511}\right)$
$\chi_{6046}(41,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{175}{1511}\right)$	$e\left(\frac{75}{3022}\right)$	$e\left(\frac{83}{1511}\right)$	$e\left(\frac{350}{1511}\right)$	$e\left(\frac{2795}{3022}\right)$	$e\left(\frac{689}{3022}\right)$	$e\left(\frac{425}{3022}\right)$	$e\left(\frac{329}{3022}\right)$	$e\left(\frac{887}{1511}\right)$	$e\left(\frac{258}{1511}\right)$
$\chi_{6046}(43,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{198}{1511}\right)$	$e\left(\frac{2891}{3022}\right)$	$e\left(\frac{1225}{1511}\right)$	$e\left(\frac{396}{1511}\right)$	$e\left(\frac{1565}{3022}\right)$	$e\left(\frac{2705}{3022}\right)$	$e\left(\frac{265}{3022}\right)$	$e\left(\frac{2125}{3022}\right)$	$e\left(\frac{2}{1511}\right)$	$e\left(\frac{1423}{1511}\right)$
$\chi_{6046}(45,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{192}{1511}\right)$	$e\left(\frac{2025}{3022}\right)$	$e\left(\frac{730}{1511}\right)$	$e\left(\frac{384}{1511}\right)$	$e\left(\frac{2937}{3022}\right)$	$e\left(\frac{471}{3022}\right)$	$e\left(\frac{2409}{3022}\right)$	$e\left(\frac{2839}{3022}\right)$	$e\left(\frac{1284}{1511}\right)$	$e\left(\frac{922}{1511}\right)$
$\chi_{6046}(47,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{990}{1511}\right)$	$e\left(\frac{428}{1511}\right)$	$e\left(\frac{81}{1511}\right)$	$e\left(\frac{469}{1511}\right)$	$e\left(\frac{135}{1511}\right)$	$e\left(\frac{1474}{1511}\right)$	$e\left(\frac{1418}{1511}\right)$	$e\left(\frac{24}{1511}\right)$	$e\left(\frac{10}{1511}\right)$	$e\left(\frac{1071}{1511}\right)$
$\chi_{6046}(49,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{1293}{1511}\right)$	$e\left(\frac{385}{1511}\right)$	$e\left(\frac{147}{1511}\right)$	$e\left(\frac{1075}{1511}\right)$	$e\left(\frac{245}{1511}\right)$	$e\left(\frac{1220}{1511}\right)$	$e\left(\frac{167}{1511}\right)$	$e\left(\frac{883}{1511}\right)$	$e\left(\frac{242}{1511}\right)$	$e\left(\frac{1440}{1511}\right)$
$\chi_{6046}(51,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{874}{1511}\right)$	$e\left(\frac{2749}{3022}\right)$	$e\left(\frac{1088}{1511}\right)$	$e\left(\frac{237}{1511}\right)$	$e\left(\frac{101}{3022}\right)$	$e\left(\frac{2569}{3022}\right)$	$e\left(\frac{1475}{3022}\right)$	$e\left(\frac{253}{3022}\right)$	$e\left(\frac{1123}{1511}\right)$	$e\left(\frac{451}{1511}\right)$
$\chi_{6046}(53,\cdot)$	6046.d	3022	no	$-1$	$1$	$e\left(\frac{502}{1511}\right)$	$e\left(\frac{431}{3022}\right)$	$e\left(\frac{618}{1511}\right)$	$e\left(\frac{1004}{1511}\right)$	$e\left(\frac{549}{3022}\right)$	$e\left(\frac{51}{3022}\right)$	$e\left(\frac{1435}{3022}\right)$	$e\left(\frac{2213}{3022}\right)$	$e\left(\frac{524}{1511}\right)$	$e\left(\frac{1120}{1511}\right)$
$\chi_{6046}(55,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{828}{1511}\right)$	$e\left(\frac{825}{1511}\right)$	$e\left(\frac{315}{1511}\right)$	$e\left(\frac{145}{1511}\right)$	$e\left(\frac{525}{1511}\right)$	$e\left(\frac{24}{1511}\right)$	$e\left(\frac{142}{1511}\right)$	$e\left(\frac{597}{1511}\right)$	$e\left(\frac{1382}{1511}\right)$	$e\left(\frac{1143}{1511}\right)$
$\chi_{6046}(57,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{1154}{1511}\right)$	$e\left(\frac{679}{1511}\right)$	$e\left(\frac{12}{1511}\right)$	$e\left(\frac{797}{1511}\right)$	$e\left(\frac{20}{1511}\right)$	$e\left(\frac{778}{1511}\right)$	$e\left(\frac{322}{1511}\right)$	$e\left(\frac{843}{1511}\right)$	$e\left(\frac{729}{1511}\right)$	$e\left(\frac{1166}{1511}\right)$
$\chi_{6046}(59,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{673}{1511}\right)$	$e\left(\frac{468}{1511}\right)$	$e\left(\frac{371}{1511}\right)$	$e\left(\frac{1346}{1511}\right)$	$e\left(\frac{1122}{1511}\right)$	$e\left(\frac{129}{1511}\right)$	$e\left(\frac{1141}{1511}\right)$	$e\left(\frac{1509}{1511}\right)$	$e\left(\frac{251}{1511}\right)$	$e\left(\frac{1044}{1511}\right)$
$\chi_{6046}(61,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{1394}{1511}\right)$	$e\left(\frac{1378}{1511}\right)$	$e\left(\frac{169}{1511}\right)$	$e\left(\frac{1277}{1511}\right)$	$e\left(\frac{1289}{1511}\right)$	$e\left(\frac{128}{1511}\right)$	$e\left(\frac{1261}{1511}\right)$	$e\left(\frac{162}{1511}\right)$	$e\left(\frac{823}{1511}\right)$	$e\left(\frac{52}{1511}\right)$
$\chi_{6046}(63,\cdot)$	6046.c	1511	no	$1$	$1$	$e\left(\frac{1088}{1511}\right)$	$e\left(\frac{449}{1511}\right)$	$e\left(\frac{611}{1511}\right)$	$e\left(\frac{665}{1511}\right)$	$e\left(\frac{11}{1511}\right)$	$e\left(\frac{579}{1511}\right)$	$e\left(\frac{26}{1511}\right)$	$e\left(\frac{237}{1511}\right)$	$e\left(\frac{1232}{1511}\right)$	$e\left(\frac{188}{1511}\right)$

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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	$6046$
Structure	\(C_{3022}\)
Order	$3022$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(21\)
\(\chi_{6046}(1,\cdot)\)	6046.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{6046}(3,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{1354}{1511}\right)\)	\(e\left(\frac{506}{1511}\right)\)	\(e\left(\frac{1402}{1511}\right)\)	\(e\left(\frac{1197}{1511}\right)\)	\(e\left(\frac{322}{1511}\right)\)	\(e\left(\frac{740}{1511}\right)\)	\(e\left(\frac{349}{1511}\right)\)	\(e\left(\frac{1031}{1511}\right)\)	\(e\left(\frac{1311}{1511}\right)\)	\(e\left(\frac{1245}{1511}\right)\)
\(\chi_{6046}(5,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{506}{1511}\right)\)	\(e\left(\frac{1}{3022}\right)\)	\(e\left(\frac{948}{1511}\right)\)	\(e\left(\frac{1012}{1511}\right)\)	\(e\left(\frac{1649}{3022}\right)\)	\(e\left(\frac{533}{3022}\right)\)	\(e\left(\frac{1013}{3022}\right)\)	\(e\left(\frac{1737}{3022}\right)\)	\(e\left(\frac{173}{1511}\right)\)	\(e\left(\frac{1454}{1511}\right)\)
\(\chi_{6046}(7,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{1402}{1511}\right)\)	\(e\left(\frac{948}{1511}\right)\)	\(e\left(\frac{829}{1511}\right)\)	\(e\left(\frac{1293}{1511}\right)\)	\(e\left(\frac{878}{1511}\right)\)	\(e\left(\frac{610}{1511}\right)\)	\(e\left(\frac{839}{1511}\right)\)	\(e\left(\frac{1197}{1511}\right)\)	\(e\left(\frac{121}{1511}\right)\)	\(e\left(\frac{720}{1511}\right)\)
\(\chi_{6046}(9,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{1197}{1511}\right)\)	\(e\left(\frac{1012}{1511}\right)\)	\(e\left(\frac{1293}{1511}\right)\)	\(e\left(\frac{883}{1511}\right)\)	\(e\left(\frac{644}{1511}\right)\)	\(e\left(\frac{1480}{1511}\right)\)	\(e\left(\frac{698}{1511}\right)\)	\(e\left(\frac{551}{1511}\right)\)	\(e\left(\frac{1111}{1511}\right)\)	\(e\left(\frac{979}{1511}\right)\)
\(\chi_{6046}(11,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{322}{1511}\right)\)	\(e\left(\frac{1649}{3022}\right)\)	\(e\left(\frac{878}{1511}\right)\)	\(e\left(\frac{644}{1511}\right)\)	\(e\left(\frac{2423}{3022}\right)\)	\(e\left(\frac{2537}{3022}\right)\)	\(e\left(\frac{2293}{3022}\right)\)	\(e\left(\frac{2479}{3022}\right)\)	\(e\left(\frac{1209}{1511}\right)\)	\(e\left(\frac{1200}{1511}\right)\)
\(\chi_{6046}(13,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{740}{1511}\right)\)	\(e\left(\frac{533}{3022}\right)\)	\(e\left(\frac{610}{1511}\right)\)	\(e\left(\frac{1480}{1511}\right)\)	\(e\left(\frac{2537}{3022}\right)\)	\(e\left(\frac{21}{3022}\right)\)	\(e\left(\frac{2013}{3022}\right)\)	\(e\left(\frac{1089}{3022}\right)\)	\(e\left(\frac{38}{1511}\right)\)	\(e\left(\frac{1350}{1511}\right)\)
\(\chi_{6046}(15,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{349}{1511}\right)\)	\(e\left(\frac{1013}{3022}\right)\)	\(e\left(\frac{839}{1511}\right)\)	\(e\left(\frac{698}{1511}\right)\)	\(e\left(\frac{2293}{3022}\right)\)	\(e\left(\frac{2013}{3022}\right)\)	\(e\left(\frac{1711}{3022}\right)\)	\(e\left(\frac{777}{3022}\right)\)	\(e\left(\frac{1484}{1511}\right)\)	\(e\left(\frac{1188}{1511}\right)\)
\(\chi_{6046}(17,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{1031}{1511}\right)\)	\(e\left(\frac{1737}{3022}\right)\)	\(e\left(\frac{1197}{1511}\right)\)	\(e\left(\frac{551}{1511}\right)\)	\(e\left(\frac{2479}{3022}\right)\)	\(e\left(\frac{1089}{3022}\right)\)	\(e\left(\frac{777}{3022}\right)\)	\(e\left(\frac{1213}{3022}\right)\)	\(e\left(\frac{1323}{1511}\right)\)	\(e\left(\frac{717}{1511}\right)\)
\(\chi_{6046}(19,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{1311}{1511}\right)\)	\(e\left(\frac{173}{1511}\right)\)	\(e\left(\frac{121}{1511}\right)\)	\(e\left(\frac{1111}{1511}\right)\)	\(e\left(\frac{1209}{1511}\right)\)	\(e\left(\frac{38}{1511}\right)\)	\(e\left(\frac{1484}{1511}\right)\)	\(e\left(\frac{1323}{1511}\right)\)	\(e\left(\frac{929}{1511}\right)\)	\(e\left(\frac{1432}{1511}\right)\)
\(\chi_{6046}(21,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{1245}{1511}\right)\)	\(e\left(\frac{1454}{1511}\right)\)	\(e\left(\frac{720}{1511}\right)\)	\(e\left(\frac{979}{1511}\right)\)	\(e\left(\frac{1200}{1511}\right)\)	\(e\left(\frac{1350}{1511}\right)\)	\(e\left(\frac{1188}{1511}\right)\)	\(e\left(\frac{717}{1511}\right)\)	\(e\left(\frac{1432}{1511}\right)\)	\(e\left(\frac{454}{1511}\right)\)
\(\chi_{6046}(23,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{285}{1511}\right)\)	\(e\left(\frac{169}{1511}\right)\)	\(e\left(\frac{92}{1511}\right)\)	\(e\left(\frac{570}{1511}\right)\)	\(e\left(\frac{657}{1511}\right)\)	\(e\left(\frac{928}{1511}\right)\)	\(e\left(\frac{454}{1511}\right)\)	\(e\left(\frac{419}{1511}\right)\)	\(e\left(\frac{1056}{1511}\right)\)	\(e\left(\frac{377}{1511}\right)\)
\(\chi_{6046}(25,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{1012}{1511}\right)\)	\(e\left(\frac{1}{1511}\right)\)	\(e\left(\frac{385}{1511}\right)\)	\(e\left(\frac{513}{1511}\right)\)	\(e\left(\frac{138}{1511}\right)\)	\(e\left(\frac{533}{1511}\right)\)	\(e\left(\frac{1013}{1511}\right)\)	\(e\left(\frac{226}{1511}\right)\)	\(e\left(\frac{346}{1511}\right)\)	\(e\left(\frac{1397}{1511}\right)\)
\(\chi_{6046}(27,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{1040}{1511}\right)\)	\(e\left(\frac{7}{1511}\right)\)	\(e\left(\frac{1184}{1511}\right)\)	\(e\left(\frac{569}{1511}\right)\)	\(e\left(\frac{966}{1511}\right)\)	\(e\left(\frac{709}{1511}\right)\)	\(e\left(\frac{1047}{1511}\right)\)	\(e\left(\frac{71}{1511}\right)\)	\(e\left(\frac{911}{1511}\right)\)	\(e\left(\frac{713}{1511}\right)\)
\(\chi_{6046}(29,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{227}{1511}\right)\)	\(e\left(\frac{1020}{1511}\right)\)	\(e\left(\frac{1351}{1511}\right)\)	\(e\left(\frac{454}{1511}\right)\)	\(e\left(\frac{237}{1511}\right)\)	\(e\left(\frac{1211}{1511}\right)\)	\(e\left(\frac{1247}{1511}\right)\)	\(e\left(\frac{848}{1511}\right)\)	\(e\left(\frac{857}{1511}\right)\)	\(e\left(\frac{67}{1511}\right)\)
\(\chi_{6046}(31,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{422}{1511}\right)\)	\(e\left(\frac{2987}{3022}\right)\)	\(e\left(\frac{62}{1511}\right)\)	\(e\left(\frac{844}{1511}\right)\)	\(e\left(\frac{2725}{3022}\right)\)	\(e\left(\frac{2499}{3022}\right)\)	\(e\left(\frac{809}{3022}\right)\)	\(e\left(\frac{2667}{3022}\right)\)	\(e\left(\frac{1500}{1511}\right)\)	\(e\left(\frac{484}{1511}\right)\)
\(\chi_{6046}(33,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{165}{1511}\right)\)	\(e\left(\frac{2661}{3022}\right)\)	\(e\left(\frac{769}{1511}\right)\)	\(e\left(\frac{330}{1511}\right)\)	\(e\left(\frac{45}{3022}\right)\)	\(e\left(\frac{995}{3022}\right)\)	\(e\left(\frac{2991}{3022}\right)\)	\(e\left(\frac{1519}{3022}\right)\)	\(e\left(\frac{1009}{1511}\right)\)	\(e\left(\frac{934}{1511}\right)\)
\(\chi_{6046}(35,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{397}{1511}\right)\)	\(e\left(\frac{1897}{3022}\right)\)	\(e\left(\frac{266}{1511}\right)\)	\(e\left(\frac{794}{1511}\right)\)	\(e\left(\frac{383}{3022}\right)\)	\(e\left(\frac{1753}{3022}\right)\)	\(e\left(\frac{2691}{3022}\right)\)	\(e\left(\frac{1109}{3022}\right)\)	\(e\left(\frac{294}{1511}\right)\)	\(e\left(\frac{663}{1511}\right)\)
\(\chi_{6046}(37,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{2}{1511}\right)\)	\(e\left(\frac{648}{1511}\right)\)	\(e\left(\frac{165}{1511}\right)\)	\(e\left(\frac{4}{1511}\right)\)	\(e\left(\frac{275}{1511}\right)\)	\(e\left(\frac{876}{1511}\right)\)	\(e\left(\frac{650}{1511}\right)\)	\(e\left(\frac{1392}{1511}\right)\)	\(e\left(\frac{580}{1511}\right)\)	\(e\left(\frac{167}{1511}\right)\)
\(\chi_{6046}(39,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{583}{1511}\right)\)	\(e\left(\frac{1545}{3022}\right)\)	\(e\left(\frac{501}{1511}\right)\)	\(e\left(\frac{1166}{1511}\right)\)	\(e\left(\frac{159}{3022}\right)\)	\(e\left(\frac{1501}{3022}\right)\)	\(e\left(\frac{2711}{3022}\right)\)	\(e\left(\frac{129}{3022}\right)\)	\(e\left(\frac{1349}{1511}\right)\)	\(e\left(\frac{1084}{1511}\right)\)
\(\chi_{6046}(41,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{175}{1511}\right)\)	\(e\left(\frac{75}{3022}\right)\)	\(e\left(\frac{83}{1511}\right)\)	\(e\left(\frac{350}{1511}\right)\)	\(e\left(\frac{2795}{3022}\right)\)	\(e\left(\frac{689}{3022}\right)\)	\(e\left(\frac{425}{3022}\right)\)	\(e\left(\frac{329}{3022}\right)\)	\(e\left(\frac{887}{1511}\right)\)	\(e\left(\frac{258}{1511}\right)\)
\(\chi_{6046}(43,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{198}{1511}\right)\)	\(e\left(\frac{2891}{3022}\right)\)	\(e\left(\frac{1225}{1511}\right)\)	\(e\left(\frac{396}{1511}\right)\)	\(e\left(\frac{1565}{3022}\right)\)	\(e\left(\frac{2705}{3022}\right)\)	\(e\left(\frac{265}{3022}\right)\)	\(e\left(\frac{2125}{3022}\right)\)	\(e\left(\frac{2}{1511}\right)\)	\(e\left(\frac{1423}{1511}\right)\)
\(\chi_{6046}(45,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{192}{1511}\right)\)	\(e\left(\frac{2025}{3022}\right)\)	\(e\left(\frac{730}{1511}\right)\)	\(e\left(\frac{384}{1511}\right)\)	\(e\left(\frac{2937}{3022}\right)\)	\(e\left(\frac{471}{3022}\right)\)	\(e\left(\frac{2409}{3022}\right)\)	\(e\left(\frac{2839}{3022}\right)\)	\(e\left(\frac{1284}{1511}\right)\)	\(e\left(\frac{922}{1511}\right)\)
\(\chi_{6046}(47,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{990}{1511}\right)\)	\(e\left(\frac{428}{1511}\right)\)	\(e\left(\frac{81}{1511}\right)\)	\(e\left(\frac{469}{1511}\right)\)	\(e\left(\frac{135}{1511}\right)\)	\(e\left(\frac{1474}{1511}\right)\)	\(e\left(\frac{1418}{1511}\right)\)	\(e\left(\frac{24}{1511}\right)\)	\(e\left(\frac{10}{1511}\right)\)	\(e\left(\frac{1071}{1511}\right)\)
\(\chi_{6046}(49,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{1293}{1511}\right)\)	\(e\left(\frac{385}{1511}\right)\)	\(e\left(\frac{147}{1511}\right)\)	\(e\left(\frac{1075}{1511}\right)\)	\(e\left(\frac{245}{1511}\right)\)	\(e\left(\frac{1220}{1511}\right)\)	\(e\left(\frac{167}{1511}\right)\)	\(e\left(\frac{883}{1511}\right)\)	\(e\left(\frac{242}{1511}\right)\)	\(e\left(\frac{1440}{1511}\right)\)
\(\chi_{6046}(51,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{874}{1511}\right)\)	\(e\left(\frac{2749}{3022}\right)\)	\(e\left(\frac{1088}{1511}\right)\)	\(e\left(\frac{237}{1511}\right)\)	\(e\left(\frac{101}{3022}\right)\)	\(e\left(\frac{2569}{3022}\right)\)	\(e\left(\frac{1475}{3022}\right)\)	\(e\left(\frac{253}{3022}\right)\)	\(e\left(\frac{1123}{1511}\right)\)	\(e\left(\frac{451}{1511}\right)\)
\(\chi_{6046}(53,\cdot)\)	6046.d	3022	no	\(-1\)	\(1\)	\(e\left(\frac{502}{1511}\right)\)	\(e\left(\frac{431}{3022}\right)\)	\(e\left(\frac{618}{1511}\right)\)	\(e\left(\frac{1004}{1511}\right)\)	\(e\left(\frac{549}{3022}\right)\)	\(e\left(\frac{51}{3022}\right)\)	\(e\left(\frac{1435}{3022}\right)\)	\(e\left(\frac{2213}{3022}\right)\)	\(e\left(\frac{524}{1511}\right)\)	\(e\left(\frac{1120}{1511}\right)\)
\(\chi_{6046}(55,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{828}{1511}\right)\)	\(e\left(\frac{825}{1511}\right)\)	\(e\left(\frac{315}{1511}\right)\)	\(e\left(\frac{145}{1511}\right)\)	\(e\left(\frac{525}{1511}\right)\)	\(e\left(\frac{24}{1511}\right)\)	\(e\left(\frac{142}{1511}\right)\)	\(e\left(\frac{597}{1511}\right)\)	\(e\left(\frac{1382}{1511}\right)\)	\(e\left(\frac{1143}{1511}\right)\)
\(\chi_{6046}(57,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{1154}{1511}\right)\)	\(e\left(\frac{679}{1511}\right)\)	\(e\left(\frac{12}{1511}\right)\)	\(e\left(\frac{797}{1511}\right)\)	\(e\left(\frac{20}{1511}\right)\)	\(e\left(\frac{778}{1511}\right)\)	\(e\left(\frac{322}{1511}\right)\)	\(e\left(\frac{843}{1511}\right)\)	\(e\left(\frac{729}{1511}\right)\)	\(e\left(\frac{1166}{1511}\right)\)
\(\chi_{6046}(59,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{673}{1511}\right)\)	\(e\left(\frac{468}{1511}\right)\)	\(e\left(\frac{371}{1511}\right)\)	\(e\left(\frac{1346}{1511}\right)\)	\(e\left(\frac{1122}{1511}\right)\)	\(e\left(\frac{129}{1511}\right)\)	\(e\left(\frac{1141}{1511}\right)\)	\(e\left(\frac{1509}{1511}\right)\)	\(e\left(\frac{251}{1511}\right)\)	\(e\left(\frac{1044}{1511}\right)\)
\(\chi_{6046}(61,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{1394}{1511}\right)\)	\(e\left(\frac{1378}{1511}\right)\)	\(e\left(\frac{169}{1511}\right)\)	\(e\left(\frac{1277}{1511}\right)\)	\(e\left(\frac{1289}{1511}\right)\)	\(e\left(\frac{128}{1511}\right)\)	\(e\left(\frac{1261}{1511}\right)\)	\(e\left(\frac{162}{1511}\right)\)	\(e\left(\frac{823}{1511}\right)\)	\(e\left(\frac{52}{1511}\right)\)
\(\chi_{6046}(63,\cdot)\)	6046.c	1511	no	\(1\)	\(1\)	\(e\left(\frac{1088}{1511}\right)\)	\(e\left(\frac{449}{1511}\right)\)	\(e\left(\frac{611}{1511}\right)\)	\(e\left(\frac{665}{1511}\right)\)	\(e\left(\frac{11}{1511}\right)\)	\(e\left(\frac{579}{1511}\right)\)	\(e\left(\frac{26}{1511}\right)\)	\(e\left(\frac{237}{1511}\right)\)	\(e\left(\frac{1232}{1511}\right)\)	\(e\left(\frac{188}{1511}\right)\)

Introduction

L-functions

Modular forms

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Fields

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Groups

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Properties

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Character group

First 32 of 3022 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.