LMFDB - Group of Dirichlet characters of modulus 2646

Show commands: Magma / Pari/GP / SageMath

comment:Define the Dirichlet group

sage:G = DirichletGroup(2646)

gp:g = idealstar(,2646,2)

magma:G = FullDirichletGroup(2646);

Character group

Order	=	756	comment:Order sage:G.order() gp:g.no magma:Order(G);
Structure	=	$C_{6}\times C_{126}$	comment:Group structure sage:sorted(g.order() for g in G.gens()) gp:g.cyc magma:PrimaryInvariants(G);
Generators	=	$\chi_{2646}(785,\cdot)$, $\chi_{2646}(1081,\cdot)$	comment:Generators sage:G.gens() gp:g.gen magma:Generators(G);

First 32 of 756 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	$-1$	$1$	$5$	$11$	$13$	$17$	$19$	$23$	$25$	$29$	$31$	$37$
$\chi_{2646}(1,\cdot)$	2646.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{2646}(5,\cdot)$	2646.cd	126	no	$1$	$1$	$e\left(\frac{26}{63}\right)$	$e\left(\frac{29}{126}\right)$	$e\left(\frac{1}{126}\right)$	$e\left(\frac{3}{7}\right)$	$-1$	$e\left(\frac{37}{126}\right)$	$e\left(\frac{52}{63}\right)$	$e\left(\frac{89}{126}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{16}{21}\right)$
$\chi_{2646}(11,\cdot)$	2646.cl	126	no	$-1$	$1$	$e\left(\frac{29}{126}\right)$	$e\left(\frac{61}{126}\right)$	$e\left(\frac{13}{63}\right)$	$e\left(\frac{9}{14}\right)$	$1$	$e\left(\frac{17}{126}\right)$	$e\left(\frac{29}{63}\right)$	$e\left(\frac{109}{126}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{17}{21}\right)$
$\chi_{2646}(13,\cdot)$	2646.ch	126	no	$-1$	$1$	$e\left(\frac{1}{126}\right)$	$e\left(\frac{13}{63}\right)$	$e\left(\frac{61}{126}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{47}{63}\right)$	$e\left(\frac{1}{63}\right)$	$e\left(\frac{37}{63}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{17}{21}\right)$
$\chi_{2646}(17,\cdot)$	2646.bo	42	no	$1$	$1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{21}\right)$
$\chi_{2646}(19,\cdot)$	2646.j	6	no	$-1$	$1$	$-1$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$1$	$1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$
$\chi_{2646}(23,\cdot)$	2646.cl	126	no	$-1$	$1$	$e\left(\frac{37}{126}\right)$	$e\left(\frac{17}{126}\right)$	$e\left(\frac{47}{63}\right)$	$e\left(\frac{11}{14}\right)$	$1$	$e\left(\frac{13}{126}\right)$	$e\left(\frac{37}{63}\right)$	$e\left(\frac{113}{126}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{13}{21}\right)$
$\chi_{2646}(25,\cdot)$	2646.ca	63	no	$1$	$1$	$e\left(\frac{52}{63}\right)$	$e\left(\frac{29}{63}\right)$	$e\left(\frac{1}{63}\right)$	$e\left(\frac{6}{7}\right)$	$1$	$e\left(\frac{37}{63}\right)$	$e\left(\frac{41}{63}\right)$	$e\left(\frac{26}{63}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{11}{21}\right)$
$\chi_{2646}(29,\cdot)$	2646.cf	126	no	$-1$	$1$	$e\left(\frac{89}{126}\right)$	$e\left(\frac{109}{126}\right)$	$e\left(\frac{37}{63}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{113}{126}\right)$	$e\left(\frac{26}{63}\right)$	$e\left(\frac{97}{126}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{1}{21}\right)$
$\chi_{2646}(31,\cdot)$	2646.bi	18	no	$-1$	$1$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{7}{18}\right)$	$1$
$\chi_{2646}(37,\cdot)$	2646.bn	21	no	$1$	$1$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{1}{21}\right)$	$1$	$e\left(\frac{8}{21}\right)$
$\chi_{2646}(41,\cdot)$	2646.cj	126	no	$1$	$1$	$e\left(\frac{5}{63}\right)$	$e\left(\frac{71}{126}\right)$	$e\left(\frac{43}{126}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{121}{126}\right)$	$e\left(\frac{10}{63}\right)$	$e\left(\frac{47}{126}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{2}{21}\right)$
$\chi_{2646}(43,\cdot)$	2646.cc	63	no	$1$	$1$	$e\left(\frac{16}{63}\right)$	$e\left(\frac{38}{63}\right)$	$e\left(\frac{31}{63}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{55}{63}\right)$	$e\left(\frac{32}{63}\right)$	$e\left(\frac{50}{63}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{19}{21}\right)$
$\chi_{2646}(47,\cdot)$	2646.ci	126	no	$1$	$1$	$e\left(\frac{25}{63}\right)$	$e\left(\frac{103}{126}\right)$	$e\left(\frac{5}{126}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{101}{126}\right)$	$e\left(\frac{50}{63}\right)$	$e\left(\frac{67}{126}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{1}{7}\right)$
$\chi_{2646}(53,\cdot)$	2646.bp	42	no	$-1$	$1$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{13}{21}\right)$
$\chi_{2646}(55,\cdot)$	2646.z	14	no	$-1$	$1$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{1}{14}\right)$	$-1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{4}{7}\right)$	$-1$	$e\left(\frac{4}{7}\right)$
$\chi_{2646}(59,\cdot)$	2646.ci	126	no	$1$	$1$	$e\left(\frac{23}{63}\right)$	$e\left(\frac{125}{126}\right)$	$e\left(\frac{55}{126}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{103}{126}\right)$	$e\left(\frac{46}{63}\right)$	$e\left(\frac{107}{126}\right)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{4}{7}\right)$
$\chi_{2646}(61,\cdot)$	2646.cg	126	no	$-1$	$1$	$e\left(\frac{5}{126}\right)$	$e\left(\frac{2}{63}\right)$	$e\left(\frac{95}{126}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{46}{63}\right)$	$e\left(\frac{5}{63}\right)$	$e\left(\frac{38}{63}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{5}{7}\right)$
$\chi_{2646}(65,\cdot)$	2646.ce	126	no	$-1$	$1$	$e\left(\frac{53}{126}\right)$	$e\left(\frac{55}{126}\right)$	$e\left(\frac{31}{63}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{126}\right)$	$e\left(\frac{53}{63}\right)$	$e\left(\frac{37}{126}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{4}{7}\right)$
$\chi_{2646}(67,\cdot)$	2646.w	9	no	$1$	$1$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{5}{9}\right)$	$1$
$\chi_{2646}(71,\cdot)$	2646.br	42	no	$-1$	$1$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{11}{14}\right)$	$1$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{7}\right)$
$\chi_{2646}(73,\cdot)$	2646.bs	42	no	$-1$	$1$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{11}{21}\right)$	$-1$	$e\left(\frac{4}{21}\right)$
$\chi_{2646}(79,\cdot)$	2646.w	9	no	$1$	$1$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{7}{9}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{4}{9}\right)$	$1$
$\chi_{2646}(83,\cdot)$	2646.cj	126	no	$1$	$1$	$e\left(\frac{31}{63}\right)$	$e\left(\frac{37}{126}\right)$	$e\left(\frac{65}{126}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{95}{126}\right)$	$e\left(\frac{62}{63}\right)$	$e\left(\frac{115}{126}\right)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{4}{21}\right)$
$\chi_{2646}(85,\cdot)$	2646.cc	63	no	$1$	$1$	$e\left(\frac{53}{63}\right)$	$e\left(\frac{55}{63}\right)$	$e\left(\frac{20}{63}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{63}\right)$	$e\left(\frac{43}{63}\right)$	$e\left(\frac{16}{63}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{17}{21}\right)$
$\chi_{2646}(89,\cdot)$	2646.bo	42	no	$1$	$1$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{11}{21}\right)$
$\chi_{2646}(95,\cdot)$	2646.ce	126	no	$-1$	$1$	$e\left(\frac{115}{126}\right)$	$e\left(\frac{29}{126}\right)$	$e\left(\frac{53}{63}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{37}{126}\right)$	$e\left(\frac{52}{63}\right)$	$e\left(\frac{47}{126}\right)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{3}{7}\right)$
$\chi_{2646}(97,\cdot)$	2646.bh	18	no	$-1$	$1$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{4}{9}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{2}{9}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{1}{3}\right)$
$\chi_{2646}(101,\cdot)$	2646.cd	126	no	$1$	$1$	$e\left(\frac{40}{63}\right)$	$e\left(\frac{1}{126}\right)$	$e\left(\frac{113}{126}\right)$	$e\left(\frac{3}{7}\right)$	$-1$	$e\left(\frac{23}{126}\right)$	$e\left(\frac{17}{63}\right)$	$e\left(\frac{103}{126}\right)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{2}{21}\right)$
$\chi_{2646}(103,\cdot)$	2646.ck	126	no	$-1$	$1$	$e\left(\frac{115}{126}\right)$	$e\left(\frac{46}{63}\right)$	$e\left(\frac{1}{126}\right)$	$e\left(\frac{13}{14}\right)$	$-1$	$e\left(\frac{50}{63}\right)$	$e\left(\frac{52}{63}\right)$	$e\left(\frac{13}{63}\right)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{16}{21}\right)$
$\chi_{2646}(107,\cdot)$	2646.bp	42	no	$-1$	$1$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{11}{21}\right)$
$\chi_{2646}(109,\cdot)$	2646.bl	21	no	$1$	$1$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{10}{21}\right)$

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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 $\F_{q}$
Belyi maps

Modulus	$2646$
Structure	\(C_{6}\times C_{126}\)
Order	$756$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(37\)
\(\chi_{2646}(1,\cdot)\)	2646.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{2646}(5,\cdot)\)	2646.cd	126	no	\(1\)	\(1\)	\(e\left(\frac{26}{63}\right)\)	\(e\left(\frac{29}{126}\right)\)	\(e\left(\frac{1}{126}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(-1\)	\(e\left(\frac{37}{126}\right)\)	\(e\left(\frac{52}{63}\right)\)	\(e\left(\frac{89}{126}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{16}{21}\right)\)
\(\chi_{2646}(11,\cdot)\)	2646.cl	126	no	\(-1\)	\(1\)	\(e\left(\frac{29}{126}\right)\)	\(e\left(\frac{61}{126}\right)\)	\(e\left(\frac{13}{63}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(1\)	\(e\left(\frac{17}{126}\right)\)	\(e\left(\frac{29}{63}\right)\)	\(e\left(\frac{109}{126}\right)\)	\(e\left(\frac{1}{9}\right)\)	\(e\left(\frac{17}{21}\right)\)
\(\chi_{2646}(13,\cdot)\)	2646.ch	126	no	\(-1\)	\(1\)	\(e\left(\frac{1}{126}\right)\)	\(e\left(\frac{13}{63}\right)\)	\(e\left(\frac{61}{126}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{47}{63}\right)\)	\(e\left(\frac{1}{63}\right)\)	\(e\left(\frac{37}{63}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{17}{21}\right)\)
\(\chi_{2646}(17,\cdot)\)	2646.bo	42	no	\(1\)	\(1\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{21}\right)\)
\(\chi_{2646}(19,\cdot)\)	2646.j	6	no	\(-1\)	\(1\)	\(-1\)	\(1\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(1\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{2}{3}\right)\)
\(\chi_{2646}(23,\cdot)\)	2646.cl	126	no	\(-1\)	\(1\)	\(e\left(\frac{37}{126}\right)\)	\(e\left(\frac{17}{126}\right)\)	\(e\left(\frac{47}{63}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(1\)	\(e\left(\frac{13}{126}\right)\)	\(e\left(\frac{37}{63}\right)\)	\(e\left(\frac{113}{126}\right)\)	\(e\left(\frac{5}{9}\right)\)	\(e\left(\frac{13}{21}\right)\)
\(\chi_{2646}(25,\cdot)\)	2646.ca	63	no	\(1\)	\(1\)	\(e\left(\frac{52}{63}\right)\)	\(e\left(\frac{29}{63}\right)\)	\(e\left(\frac{1}{63}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(1\)	\(e\left(\frac{37}{63}\right)\)	\(e\left(\frac{41}{63}\right)\)	\(e\left(\frac{26}{63}\right)\)	\(e\left(\frac{7}{9}\right)\)	\(e\left(\frac{11}{21}\right)\)
\(\chi_{2646}(29,\cdot)\)	2646.cf	126	no	\(-1\)	\(1\)	\(e\left(\frac{89}{126}\right)\)	\(e\left(\frac{109}{126}\right)\)	\(e\left(\frac{37}{63}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{113}{126}\right)\)	\(e\left(\frac{26}{63}\right)\)	\(e\left(\frac{97}{126}\right)\)	\(e\left(\frac{1}{9}\right)\)	\(e\left(\frac{1}{21}\right)\)
\(\chi_{2646}(31,\cdot)\)	2646.bi	18	no	\(-1\)	\(1\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{1}{9}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{5}{9}\right)\)	\(e\left(\frac{7}{9}\right)\)	\(e\left(\frac{1}{9}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(1\)
\(\chi_{2646}(37,\cdot)\)	2646.bn	21	no	\(1\)	\(1\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(1\)	\(e\left(\frac{8}{21}\right)\)
\(\chi_{2646}(41,\cdot)\)	2646.cj	126	no	\(1\)	\(1\)	\(e\left(\frac{5}{63}\right)\)	\(e\left(\frac{71}{126}\right)\)	\(e\left(\frac{43}{126}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{121}{126}\right)\)	\(e\left(\frac{10}{63}\right)\)	\(e\left(\frac{47}{126}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{2}{21}\right)\)
\(\chi_{2646}(43,\cdot)\)	2646.cc	63	no	\(1\)	\(1\)	\(e\left(\frac{16}{63}\right)\)	\(e\left(\frac{38}{63}\right)\)	\(e\left(\frac{31}{63}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{55}{63}\right)\)	\(e\left(\frac{32}{63}\right)\)	\(e\left(\frac{50}{63}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{19}{21}\right)\)
\(\chi_{2646}(47,\cdot)\)	2646.ci	126	no	\(1\)	\(1\)	\(e\left(\frac{25}{63}\right)\)	\(e\left(\frac{103}{126}\right)\)	\(e\left(\frac{5}{126}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{101}{126}\right)\)	\(e\left(\frac{50}{63}\right)\)	\(e\left(\frac{67}{126}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{1}{7}\right)\)
\(\chi_{2646}(53,\cdot)\)	2646.bp	42	no	\(-1\)	\(1\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{13}{21}\right)\)
\(\chi_{2646}(55,\cdot)\)	2646.z	14	no	\(-1\)	\(1\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(-1\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(-1\)	\(e\left(\frac{4}{7}\right)\)
\(\chi_{2646}(59,\cdot)\)	2646.ci	126	no	\(1\)	\(1\)	\(e\left(\frac{23}{63}\right)\)	\(e\left(\frac{125}{126}\right)\)	\(e\left(\frac{55}{126}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{103}{126}\right)\)	\(e\left(\frac{46}{63}\right)\)	\(e\left(\frac{107}{126}\right)\)	\(e\left(\frac{13}{18}\right)\)	\(e\left(\frac{4}{7}\right)\)
\(\chi_{2646}(61,\cdot)\)	2646.cg	126	no	\(-1\)	\(1\)	\(e\left(\frac{5}{126}\right)\)	\(e\left(\frac{2}{63}\right)\)	\(e\left(\frac{95}{126}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{46}{63}\right)\)	\(e\left(\frac{5}{63}\right)\)	\(e\left(\frac{38}{63}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{5}{7}\right)\)
\(\chi_{2646}(65,\cdot)\)	2646.ce	126	no	\(-1\)	\(1\)	\(e\left(\frac{53}{126}\right)\)	\(e\left(\frac{55}{126}\right)\)	\(e\left(\frac{31}{63}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{5}{126}\right)\)	\(e\left(\frac{53}{63}\right)\)	\(e\left(\frac{37}{126}\right)\)	\(e\left(\frac{7}{9}\right)\)	\(e\left(\frac{4}{7}\right)\)
\(\chi_{2646}(67,\cdot)\)	2646.w	9	no	\(1\)	\(1\)	\(e\left(\frac{5}{9}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{5}{9}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{1}{9}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{5}{9}\right)\)	\(1\)
\(\chi_{2646}(71,\cdot)\)	2646.br	42	no	\(-1\)	\(1\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(1\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{2}{7}\right)\)
\(\chi_{2646}(73,\cdot)\)	2646.bs	42	no	\(-1\)	\(1\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(-1\)	\(e\left(\frac{4}{21}\right)\)
\(\chi_{2646}(79,\cdot)\)	2646.w	9	no	\(1\)	\(1\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{5}{9}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{7}{9}\right)\)	\(e\left(\frac{8}{9}\right)\)	\(e\left(\frac{5}{9}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(1\)
\(\chi_{2646}(83,\cdot)\)	2646.cj	126	no	\(1\)	\(1\)	\(e\left(\frac{31}{63}\right)\)	\(e\left(\frac{37}{126}\right)\)	\(e\left(\frac{65}{126}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{95}{126}\right)\)	\(e\left(\frac{62}{63}\right)\)	\(e\left(\frac{115}{126}\right)\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{4}{21}\right)\)
\(\chi_{2646}(85,\cdot)\)	2646.cc	63	no	\(1\)	\(1\)	\(e\left(\frac{53}{63}\right)\)	\(e\left(\frac{55}{63}\right)\)	\(e\left(\frac{20}{63}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{5}{63}\right)\)	\(e\left(\frac{43}{63}\right)\)	\(e\left(\frac{16}{63}\right)\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{17}{21}\right)\)
\(\chi_{2646}(89,\cdot)\)	2646.bo	42	no	\(1\)	\(1\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{11}{21}\right)\)
\(\chi_{2646}(95,\cdot)\)	2646.ce	126	no	\(-1\)	\(1\)	\(e\left(\frac{115}{126}\right)\)	\(e\left(\frac{29}{126}\right)\)	\(e\left(\frac{53}{63}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{37}{126}\right)\)	\(e\left(\frac{52}{63}\right)\)	\(e\left(\frac{47}{126}\right)\)	\(e\left(\frac{5}{9}\right)\)	\(e\left(\frac{3}{7}\right)\)
\(\chi_{2646}(97,\cdot)\)	2646.bh	18	no	\(-1\)	\(1\)	\(e\left(\frac{11}{18}\right)\)	\(e\left(\frac{8}{9}\right)\)	\(e\left(\frac{5}{18}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{4}{9}\right)\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{2}{9}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{1}{3}\right)\)
\(\chi_{2646}(101,\cdot)\)	2646.cd	126	no	\(1\)	\(1\)	\(e\left(\frac{40}{63}\right)\)	\(e\left(\frac{1}{126}\right)\)	\(e\left(\frac{113}{126}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(-1\)	\(e\left(\frac{23}{126}\right)\)	\(e\left(\frac{17}{63}\right)\)	\(e\left(\frac{103}{126}\right)\)	\(e\left(\frac{17}{18}\right)\)	\(e\left(\frac{2}{21}\right)\)
\(\chi_{2646}(103,\cdot)\)	2646.ck	126	no	\(-1\)	\(1\)	\(e\left(\frac{115}{126}\right)\)	\(e\left(\frac{46}{63}\right)\)	\(e\left(\frac{1}{126}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(-1\)	\(e\left(\frac{50}{63}\right)\)	\(e\left(\frac{52}{63}\right)\)	\(e\left(\frac{13}{63}\right)\)	\(e\left(\frac{7}{18}\right)\)	\(e\left(\frac{16}{21}\right)\)
\(\chi_{2646}(107,\cdot)\)	2646.bp	42	no	\(-1\)	\(1\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{11}{21}\right)\)
\(\chi_{2646}(109,\cdot)\)	2646.bl	21	no	\(1\)	\(1\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{10}{21}\right)\)

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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.