LMFDB - Group of Dirichlet characters of modulus 2695

Show commands: PariGP / SageMath

sage: H = DirichletGroup(2695)

pari: g = idealstar(,2695,2)

Character group

sage: G.order() pari: g.no
Order	=	1680
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{420}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{2695}(2157,\cdot)$, $\chi_{2695}(1816,\cdot)$, $\chi_{2695}(981,\cdot)$

First 32 of 1680 characters

Each row describes a character. When available, the columns show the orbit label, order of the character, whether the character is primitive, and several values of the character.

Character	Orbit	Order	Primitive	$-1$	$1$	$2$	$3$	$4$	$6$	$8$	$9$	$12$	$13$	$16$	$17$
$\chi_{2695}(1,\cdot)$	2695.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{2695}(2,\cdot)$	2695.do	420	yes	$1$	$1$	$e\left(\frac{187}{420}\right)$	$e\left(\frac{71}{420}\right)$	$e\left(\frac{187}{210}\right)$	$e\left(\frac{43}{70}\right)$	$e\left(\frac{47}{140}\right)$	$e\left(\frac{71}{210}\right)$	$e\left(\frac{5}{84}\right)$	$e\left(\frac{39}{140}\right)$	$e\left(\frac{82}{105}\right)$	$e\left(\frac{263}{420}\right)$
$\chi_{2695}(3,\cdot)$	2695.dp	420	yes	$1$	$1$	$e\left(\frac{71}{420}\right)$	$e\left(\frac{283}{420}\right)$	$e\left(\frac{71}{210}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{71}{140}\right)$	$e\left(\frac{73}{210}\right)$	$e\left(\frac{1}{84}\right)$	$e\left(\frac{117}{140}\right)$	$e\left(\frac{71}{105}\right)$	$e\left(\frac{229}{420}\right)$
$\chi_{2695}(4,\cdot)$	2695.dm	210	yes	$1$	$1$	$e\left(\frac{187}{210}\right)$	$e\left(\frac{71}{210}\right)$	$e\left(\frac{82}{105}\right)$	$e\left(\frac{8}{35}\right)$	$e\left(\frac{47}{70}\right)$	$e\left(\frac{71}{105}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{39}{70}\right)$	$e\left(\frac{59}{105}\right)$	$e\left(\frac{53}{210}\right)$
$\chi_{2695}(6,\cdot)$	2695.cs	70	no	$1$	$1$	$e\left(\frac{43}{70}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{8}{35}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{24}{35}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{6}{35}\right)$
$\chi_{2695}(8,\cdot)$	2695.de	140	yes	$1$	$1$	$e\left(\frac{47}{140}\right)$	$e\left(\frac{71}{140}\right)$	$e\left(\frac{47}{70}\right)$	$e\left(\frac{59}{70}\right)$	$e\left(\frac{1}{140}\right)$	$e\left(\frac{1}{70}\right)$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{117}{140}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{123}{140}\right)$
$\chi_{2695}(9,\cdot)$	2695.dm	210	yes	$1$	$1$	$e\left(\frac{71}{210}\right)$	$e\left(\frac{73}{210}\right)$	$e\left(\frac{71}{105}\right)$	$e\left(\frac{24}{35}\right)$	$e\left(\frac{1}{70}\right)$	$e\left(\frac{73}{105}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{47}{70}\right)$	$e\left(\frac{37}{105}\right)$	$e\left(\frac{19}{210}\right)$
$\chi_{2695}(12,\cdot)$	2695.da	84	no	$1$	$1$	$e\left(\frac{5}{84}\right)$	$e\left(\frac{1}{84}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{11}{84}\right)$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{67}{84}\right)$
$\chi_{2695}(13,\cdot)$	2695.df	140	yes	$-1$	$1$	$e\left(\frac{39}{140}\right)$	$e\left(\frac{117}{140}\right)$	$e\left(\frac{39}{70}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{117}{140}\right)$	$e\left(\frac{47}{70}\right)$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{39}{140}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{41}{140}\right)$
$\chi_{2695}(16,\cdot)$	2695.dc	105	no	$1$	$1$	$e\left(\frac{82}{105}\right)$	$e\left(\frac{71}{105}\right)$	$e\left(\frac{59}{105}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{37}{105}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{13}{105}\right)$	$e\left(\frac{53}{105}\right)$
$\chi_{2695}(17,\cdot)$	2695.dr	420	yes	$-1$	$1$	$e\left(\frac{263}{420}\right)$	$e\left(\frac{229}{420}\right)$	$e\left(\frac{53}{210}\right)$	$e\left(\frac{6}{35}\right)$	$e\left(\frac{123}{140}\right)$	$e\left(\frac{19}{210}\right)$	$e\left(\frac{67}{84}\right)$	$e\left(\frac{41}{140}\right)$	$e\left(\frac{53}{105}\right)$	$e\left(\frac{97}{420}\right)$
$\chi_{2695}(18,\cdot)$	2695.cq	60	no	$1$	$1$	$e\left(\frac{47}{60}\right)$	$e\left(\frac{31}{60}\right)$	$e\left(\frac{17}{30}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{1}{30}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{2}{15}\right)$	$e\left(\frac{43}{60}\right)$
$\chi_{2695}(19,\cdot)$	2695.ce	30	no	$1$	$1$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{7}{15}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{1}{30}\right)$
$\chi_{2695}(23,\cdot)$	2695.cz	84	no	$-1$	$1$	$e\left(\frac{23}{84}\right)$	$e\left(\frac{13}{84}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{23}{28}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{31}{84}\right)$
$\chi_{2695}(24,\cdot)$	2695.dh	210	yes	$1$	$1$	$e\left(\frac{53}{105}\right)$	$e\left(\frac{19}{105}\right)$	$e\left(\frac{1}{105}\right)$	$e\left(\frac{24}{35}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{38}{105}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{47}{70}\right)$	$e\left(\frac{2}{105}\right)$	$e\left(\frac{89}{210}\right)$
$\chi_{2695}(26,\cdot)$	2695.di	210	no	$-1$	$1$	$e\left(\frac{76}{105}\right)$	$e\left(\frac{1}{210}\right)$	$e\left(\frac{47}{105}\right)$	$e\left(\frac{51}{70}\right)$	$e\left(\frac{6}{35}\right)$	$e\left(\frac{1}{105}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{39}{70}\right)$	$e\left(\frac{94}{105}\right)$	$e\left(\frac{193}{210}\right)$
$\chi_{2695}(27,\cdot)$	2695.dd	140	yes	$1$	$1$	$e\left(\frac{71}{140}\right)$	$e\left(\frac{3}{140}\right)$	$e\left(\frac{1}{70}\right)$	$e\left(\frac{37}{70}\right)$	$e\left(\frac{73}{140}\right)$	$e\left(\frac{3}{70}\right)$	$e\left(\frac{1}{28}\right)$	$e\left(\frac{71}{140}\right)$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{89}{140}\right)$
$\chi_{2695}(29,\cdot)$	2695.cw	70	yes	$-1$	$1$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{37}{70}\right)$	$e\left(\frac{24}{35}\right)$	$e\left(\frac{61}{70}\right)$	$e\left(\frac{1}{35}\right)$	$e\left(\frac{2}{35}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{13}{35}\right)$	$e\left(\frac{18}{35}\right)$
$\chi_{2695}(31,\cdot)$	2695.cd	30	no	$-1$	$1$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{29}{30}\right)$	$e\left(\frac{13}{15}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{14}{15}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{11}{15}\right)$	$e\left(\frac{17}{30}\right)$
$\chi_{2695}(32,\cdot)$	2695.db	84	yes	$1$	$1$	$e\left(\frac{19}{84}\right)$	$e\left(\frac{71}{84}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{19}{28}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{25}{84}\right)$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{11}{84}\right)$
$\chi_{2695}(34,\cdot)$	2695.bk	14	no	$-1$	$1$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{6}{7}\right)$
$\chi_{2695}(36,\cdot)$	2695.cf	35	no	$1$	$1$	$e\left(\frac{8}{35}\right)$	$e\left(\frac{24}{35}\right)$	$e\left(\frac{16}{35}\right)$	$e\left(\frac{32}{35}\right)$	$e\left(\frac{24}{35}\right)$	$e\left(\frac{13}{35}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{8}{35}\right)$	$e\left(\frac{32}{35}\right)$	$e\left(\frac{12}{35}\right)$
$\chi_{2695}(37,\cdot)$	2695.dq	420	yes	$-1$	$1$	$e\left(\frac{109}{420}\right)$	$e\left(\frac{47}{420}\right)$	$e\left(\frac{109}{210}\right)$	$e\left(\frac{13}{35}\right)$	$e\left(\frac{109}{140}\right)$	$e\left(\frac{47}{210}\right)$	$e\left(\frac{53}{84}\right)$	$e\left(\frac{13}{140}\right)$	$e\left(\frac{4}{105}\right)$	$e\left(\frac{41}{420}\right)$
$\chi_{2695}(38,\cdot)$	2695.dp	420	yes	$1$	$1$	$e\left(\frac{383}{420}\right)$	$e\left(\frac{379}{420}\right)$	$e\left(\frac{173}{210}\right)$	$e\left(\frac{57}{70}\right)$	$e\left(\frac{103}{140}\right)$	$e\left(\frac{169}{210}\right)$	$e\left(\frac{61}{84}\right)$	$e\left(\frac{81}{140}\right)$	$e\left(\frac{68}{105}\right)$	$e\left(\frac{277}{420}\right)$
$\chi_{2695}(39,\cdot)$	2695.dj	210	yes	$-1$	$1$	$e\left(\frac{47}{105}\right)$	$e\left(\frac{107}{210}\right)$	$e\left(\frac{94}{105}\right)$	$e\left(\frac{67}{70}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{2}{105}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{4}{35}\right)$	$e\left(\frac{83}{105}\right)$	$e\left(\frac{88}{105}\right)$
$\chi_{2695}(41,\cdot)$	2695.cs	70	no	$1$	$1$	$e\left(\frac{41}{70}\right)$	$e\left(\frac{53}{70}\right)$	$e\left(\frac{6}{35}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{53}{70}\right)$	$e\left(\frac{18}{35}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{3}{35}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{22}{35}\right)$
$\chi_{2695}(43,\cdot)$	2695.bw	28	yes	$1$	$1$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{11}{28}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{25}{28}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{23}{28}\right)$
$\chi_{2695}(46,\cdot)$	2695.dk	210	no	$-1$	$1$	$e\left(\frac{151}{210}\right)$	$e\left(\frac{34}{105}\right)$	$e\left(\frac{46}{105}\right)$	$e\left(\frac{3}{70}\right)$	$e\left(\frac{11}{70}\right)$	$e\left(\frac{68}{105}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{27}{70}\right)$	$e\left(\frac{92}{105}\right)$	$e\left(\frac{209}{210}\right)$
$\chi_{2695}(47,\cdot)$	2695.dp	420	yes	$1$	$1$	$e\left(\frac{61}{420}\right)$	$e\left(\frac{113}{420}\right)$	$e\left(\frac{61}{210}\right)$	$e\left(\frac{29}{70}\right)$	$e\left(\frac{61}{140}\right)$	$e\left(\frac{113}{210}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{67}{140}\right)$	$e\left(\frac{61}{105}\right)$	$e\left(\frac{179}{420}\right)$
$\chi_{2695}(48,\cdot)$	2695.bs	20	no	$1$	$1$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{7}{20}\right)$	$e\left(\frac{9}{10}\right)$	$e\left(\frac{3}{10}\right)$	$e\left(\frac{17}{20}\right)$	$e\left(\frac{7}{10}\right)$	$i$	$e\left(\frac{19}{20}\right)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{20}\right)$
$\chi_{2695}(51,\cdot)$	2695.dk	210	no	$-1$	$1$	$e\left(\frac{167}{210}\right)$	$e\left(\frac{23}{105}\right)$	$e\left(\frac{62}{105}\right)$	$e\left(\frac{1}{70}\right)$	$e\left(\frac{27}{70}\right)$	$e\left(\frac{46}{105}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{9}{70}\right)$	$e\left(\frac{19}{105}\right)$	$e\left(\frac{163}{210}\right)$
$\chi_{2695}(52,\cdot)$	2695.dr	420	yes	$-1$	$1$	$e\left(\frac{71}{420}\right)$	$e\left(\frac{73}{420}\right)$	$e\left(\frac{71}{210}\right)$	$e\left(\frac{12}{35}\right)$	$e\left(\frac{71}{140}\right)$	$e\left(\frac{73}{210}\right)$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{117}{140}\right)$	$e\left(\frac{71}{105}\right)$	$e\left(\frac{229}{420}\right)$

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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	$2695$
Structure	\(C_{2}\times C_{2}\times C_{420}\)
Order	$1680$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(8\)	\(9\)	\(12\)	\(13\)	\(16\)	\(17\)
\(\chi_{2695}(1,\cdot)\)	2695.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{2695}(2,\cdot)\)	2695.do	420	yes	\(1\)	\(1\)	\(e\left(\frac{187}{420}\right)\)	\(e\left(\frac{71}{420}\right)\)	\(e\left(\frac{187}{210}\right)\)	\(e\left(\frac{43}{70}\right)\)	\(e\left(\frac{47}{140}\right)\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{5}{84}\right)\)	\(e\left(\frac{39}{140}\right)\)	\(e\left(\frac{82}{105}\right)\)	\(e\left(\frac{263}{420}\right)\)
\(\chi_{2695}(3,\cdot)\)	2695.dp	420	yes	\(1\)	\(1\)	\(e\left(\frac{71}{420}\right)\)	\(e\left(\frac{283}{420}\right)\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{71}{140}\right)\)	\(e\left(\frac{73}{210}\right)\)	\(e\left(\frac{1}{84}\right)\)	\(e\left(\frac{117}{140}\right)\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{229}{420}\right)\)
\(\chi_{2695}(4,\cdot)\)	2695.dm	210	yes	\(1\)	\(1\)	\(e\left(\frac{187}{210}\right)\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{82}{105}\right)\)	\(e\left(\frac{8}{35}\right)\)	\(e\left(\frac{47}{70}\right)\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{39}{70}\right)\)	\(e\left(\frac{59}{105}\right)\)	\(e\left(\frac{53}{210}\right)\)
\(\chi_{2695}(6,\cdot)\)	2695.cs	70	no	\(1\)	\(1\)	\(e\left(\frac{43}{70}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{8}{35}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{6}{35}\right)\)
\(\chi_{2695}(8,\cdot)\)	2695.de	140	yes	\(1\)	\(1\)	\(e\left(\frac{47}{140}\right)\)	\(e\left(\frac{71}{140}\right)\)	\(e\left(\frac{47}{70}\right)\)	\(e\left(\frac{59}{70}\right)\)	\(e\left(\frac{1}{140}\right)\)	\(e\left(\frac{1}{70}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{117}{140}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{123}{140}\right)\)
\(\chi_{2695}(9,\cdot)\)	2695.dm	210	yes	\(1\)	\(1\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{73}{210}\right)\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{1}{70}\right)\)	\(e\left(\frac{73}{105}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{47}{70}\right)\)	\(e\left(\frac{37}{105}\right)\)	\(e\left(\frac{19}{210}\right)\)
\(\chi_{2695}(12,\cdot)\)	2695.da	84	no	\(1\)	\(1\)	\(e\left(\frac{5}{84}\right)\)	\(e\left(\frac{1}{84}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{11}{84}\right)\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{67}{84}\right)\)
\(\chi_{2695}(13,\cdot)\)	2695.df	140	yes	\(-1\)	\(1\)	\(e\left(\frac{39}{140}\right)\)	\(e\left(\frac{117}{140}\right)\)	\(e\left(\frac{39}{70}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{117}{140}\right)\)	\(e\left(\frac{47}{70}\right)\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{39}{140}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{41}{140}\right)\)
\(\chi_{2695}(16,\cdot)\)	2695.dc	105	no	\(1\)	\(1\)	\(e\left(\frac{82}{105}\right)\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{59}{105}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{37}{105}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{13}{105}\right)\)	\(e\left(\frac{53}{105}\right)\)
\(\chi_{2695}(17,\cdot)\)	2695.dr	420	yes	\(-1\)	\(1\)	\(e\left(\frac{263}{420}\right)\)	\(e\left(\frac{229}{420}\right)\)	\(e\left(\frac{53}{210}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{123}{140}\right)\)	\(e\left(\frac{19}{210}\right)\)	\(e\left(\frac{67}{84}\right)\)	\(e\left(\frac{41}{140}\right)\)	\(e\left(\frac{53}{105}\right)\)	\(e\left(\frac{97}{420}\right)\)
\(\chi_{2695}(18,\cdot)\)	2695.cq	60	no	\(1\)	\(1\)	\(e\left(\frac{47}{60}\right)\)	\(e\left(\frac{31}{60}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{43}{60}\right)\)
\(\chi_{2695}(19,\cdot)\)	2695.ce	30	no	\(1\)	\(1\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{1}{30}\right)\)
\(\chi_{2695}(23,\cdot)\)	2695.cz	84	no	\(-1\)	\(1\)	\(e\left(\frac{23}{84}\right)\)	\(e\left(\frac{13}{84}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{23}{28}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{3}{28}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{31}{84}\right)\)
\(\chi_{2695}(24,\cdot)\)	2695.dh	210	yes	\(1\)	\(1\)	\(e\left(\frac{53}{105}\right)\)	\(e\left(\frac{19}{105}\right)\)	\(e\left(\frac{1}{105}\right)\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{38}{105}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{47}{70}\right)\)	\(e\left(\frac{2}{105}\right)\)	\(e\left(\frac{89}{210}\right)\)
\(\chi_{2695}(26,\cdot)\)	2695.di	210	no	\(-1\)	\(1\)	\(e\left(\frac{76}{105}\right)\)	\(e\left(\frac{1}{210}\right)\)	\(e\left(\frac{47}{105}\right)\)	\(e\left(\frac{51}{70}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{1}{105}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{39}{70}\right)\)	\(e\left(\frac{94}{105}\right)\)	\(e\left(\frac{193}{210}\right)\)
\(\chi_{2695}(27,\cdot)\)	2695.dd	140	yes	\(1\)	\(1\)	\(e\left(\frac{71}{140}\right)\)	\(e\left(\frac{3}{140}\right)\)	\(e\left(\frac{1}{70}\right)\)	\(e\left(\frac{37}{70}\right)\)	\(e\left(\frac{73}{140}\right)\)	\(e\left(\frac{3}{70}\right)\)	\(e\left(\frac{1}{28}\right)\)	\(e\left(\frac{71}{140}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{89}{140}\right)\)
\(\chi_{2695}(29,\cdot)\)	2695.cw	70	yes	\(-1\)	\(1\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{37}{70}\right)\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{61}{70}\right)\)	\(e\left(\frac{1}{35}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{18}{35}\right)\)
\(\chi_{2695}(31,\cdot)\)	2695.cd	30	no	\(-1\)	\(1\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{13}{15}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{14}{15}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{10}\right)\)	\(e\left(\frac{11}{15}\right)\)	\(e\left(\frac{17}{30}\right)\)
\(\chi_{2695}(32,\cdot)\)	2695.db	84	yes	\(1\)	\(1\)	\(e\left(\frac{19}{84}\right)\)	\(e\left(\frac{71}{84}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{25}{84}\right)\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{11}{84}\right)\)
\(\chi_{2695}(34,\cdot)\)	2695.bk	14	no	\(-1\)	\(1\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{6}{7}\right)\)
\(\chi_{2695}(36,\cdot)\)	2695.cf	35	no	\(1\)	\(1\)	\(e\left(\frac{8}{35}\right)\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{16}{35}\right)\)	\(e\left(\frac{32}{35}\right)\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{8}{35}\right)\)	\(e\left(\frac{32}{35}\right)\)	\(e\left(\frac{12}{35}\right)\)
\(\chi_{2695}(37,\cdot)\)	2695.dq	420	yes	\(-1\)	\(1\)	\(e\left(\frac{109}{420}\right)\)	\(e\left(\frac{47}{420}\right)\)	\(e\left(\frac{109}{210}\right)\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{109}{140}\right)\)	\(e\left(\frac{47}{210}\right)\)	\(e\left(\frac{53}{84}\right)\)	\(e\left(\frac{13}{140}\right)\)	\(e\left(\frac{4}{105}\right)\)	\(e\left(\frac{41}{420}\right)\)
\(\chi_{2695}(38,\cdot)\)	2695.dp	420	yes	\(1\)	\(1\)	\(e\left(\frac{383}{420}\right)\)	\(e\left(\frac{379}{420}\right)\)	\(e\left(\frac{173}{210}\right)\)	\(e\left(\frac{57}{70}\right)\)	\(e\left(\frac{103}{140}\right)\)	\(e\left(\frac{169}{210}\right)\)	\(e\left(\frac{61}{84}\right)\)	\(e\left(\frac{81}{140}\right)\)	\(e\left(\frac{68}{105}\right)\)	\(e\left(\frac{277}{420}\right)\)
\(\chi_{2695}(39,\cdot)\)	2695.dj	210	yes	\(-1\)	\(1\)	\(e\left(\frac{47}{105}\right)\)	\(e\left(\frac{107}{210}\right)\)	\(e\left(\frac{94}{105}\right)\)	\(e\left(\frac{67}{70}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{2}{105}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{83}{105}\right)\)	\(e\left(\frac{88}{105}\right)\)
\(\chi_{2695}(41,\cdot)\)	2695.cs	70	no	\(1\)	\(1\)	\(e\left(\frac{41}{70}\right)\)	\(e\left(\frac{53}{70}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{53}{70}\right)\)	\(e\left(\frac{18}{35}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{3}{35}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{22}{35}\right)\)
\(\chi_{2695}(43,\cdot)\)	2695.bw	28	yes	\(1\)	\(1\)	\(e\left(\frac{27}{28}\right)\)	\(e\left(\frac{11}{28}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{25}{28}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{23}{28}\right)\)
\(\chi_{2695}(46,\cdot)\)	2695.dk	210	no	\(-1\)	\(1\)	\(e\left(\frac{151}{210}\right)\)	\(e\left(\frac{34}{105}\right)\)	\(e\left(\frac{46}{105}\right)\)	\(e\left(\frac{3}{70}\right)\)	\(e\left(\frac{11}{70}\right)\)	\(e\left(\frac{68}{105}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{27}{70}\right)\)	\(e\left(\frac{92}{105}\right)\)	\(e\left(\frac{209}{210}\right)\)
\(\chi_{2695}(47,\cdot)\)	2695.dp	420	yes	\(1\)	\(1\)	\(e\left(\frac{61}{420}\right)\)	\(e\left(\frac{113}{420}\right)\)	\(e\left(\frac{61}{210}\right)\)	\(e\left(\frac{29}{70}\right)\)	\(e\left(\frac{61}{140}\right)\)	\(e\left(\frac{113}{210}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{67}{140}\right)\)	\(e\left(\frac{61}{105}\right)\)	\(e\left(\frac{179}{420}\right)\)
\(\chi_{2695}(48,\cdot)\)	2695.bs	20	no	\(1\)	\(1\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{7}{20}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{3}{10}\right)\)	\(e\left(\frac{17}{20}\right)\)	\(e\left(\frac{7}{10}\right)\)	\(i\)	\(e\left(\frac{19}{20}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{1}{20}\right)\)
\(\chi_{2695}(51,\cdot)\)	2695.dk	210	no	\(-1\)	\(1\)	\(e\left(\frac{167}{210}\right)\)	\(e\left(\frac{23}{105}\right)\)	\(e\left(\frac{62}{105}\right)\)	\(e\left(\frac{1}{70}\right)\)	\(e\left(\frac{27}{70}\right)\)	\(e\left(\frac{46}{105}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{9}{70}\right)\)	\(e\left(\frac{19}{105}\right)\)	\(e\left(\frac{163}{210}\right)\)
\(\chi_{2695}(52,\cdot)\)	2695.dr	420	yes	\(-1\)	\(1\)	\(e\left(\frac{71}{420}\right)\)	\(e\left(\frac{73}{420}\right)\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{71}{140}\right)\)	\(e\left(\frac{73}{210}\right)\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{117}{140}\right)\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{229}{420}\right)\)

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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.