LMFDB - Group of Dirichlet characters of modulus 1274

sage:H = DirichletGroup(1274)

pari:g = idealstar(,1274,2)

Character group

sage:G.order() pari:g.no
Order	=	504
sage:H.invariants() pari:g.cyc
Structure	=	$C_{6}\times C_{84}$
sage:H.gens() pari:g.gen
Generators	=	$\chi_{1274}(885,\cdot)$, $\chi_{1274}(197,\cdot)$

First 32 of 504 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	$-1$	$1$	$3$	$5$	$9$	$11$	$15$	$17$	$19$	$23$	$25$	$27$
$\chi_{1274}(1,\cdot)$	1274.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{1274}(3,\cdot)$	1274.by	42	no	$-1$	$1$	$e\left(\frac{5}{14}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{11}{42}\right)$	$-1$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{1}{14}\right)$
$\chi_{1274}(5,\cdot)$	1274.cc	84	no	$1$	$1$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{65}{84}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{73}{84}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{1}{14}\right)$
$\chi_{1274}(9,\cdot)$	1274.bi	21	no	$1$	$1$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{11}{21}\right)$	$1$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{1}{7}\right)$
$\chi_{1274}(11,\cdot)$	1274.ca	84	no	$-1$	$1$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{73}{84}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{5}{28}\right)$	$e\left(\frac{13}{84}\right)$	$e\left(\frac{41}{42}\right)$	$i$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{6}{7}\right)$
$\chi_{1274}(15,\cdot)$	1274.cf	84	no	$-1$	$1$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{13}{84}\right)$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{1}{7}\right)$
$\chi_{1274}(17,\cdot)$	1274.bs	42	no	$-1$	$1$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{11}{14}\right)$
$\chi_{1274}(19,\cdot)$	1274.x	12	no	$1$	$1$	$-1$	$e\left(\frac{11}{12}\right)$	$1$	$i$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{2}{3}\right)$	$i$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$-1$
$\chi_{1274}(23,\cdot)$	1274.bv	42	no	$1$	$1$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{5}{7}\right)$
$\chi_{1274}(25,\cdot)$	1274.bw	42	no	$1$	$1$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{1}{7}\right)$
$\chi_{1274}(27,\cdot)$	1274.bh	14	no	$-1$	$1$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{11}{14}\right)$	$-1$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{3}{14}\right)$
$\chi_{1274}(29,\cdot)$	1274.bj	21	no	$1$	$1$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{2}{7}\right)$
$\chi_{1274}(31,\cdot)$	1274.bc	12	no	$1$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{11}{12}\right)$	$-i$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$	$-1$
$\chi_{1274}(33,\cdot)$	1274.ch	84	no	$1$	$1$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{17}{84}\right)$	$e\left(\frac{5}{21}\right)$	$-i$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{13}{14}\right)$
$\chi_{1274}(37,\cdot)$	1274.cg	84	no	$-1$	$1$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{29}{84}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{37}{84}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{2}{7}\right)$
$\chi_{1274}(41,\cdot)$	1274.cd	84	no	$1$	$1$	$e\left(\frac{29}{42}\right)$	$e\left(\frac{3}{28}\right)$	$e\left(\frac{8}{21}\right)$	$e\left(\frac{73}{84}\right)$	$e\left(\frac{67}{84}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{1}{14}\right)$
$\chi_{1274}(43,\cdot)$	1274.bx	42	no	$1$	$1$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{21}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{3}{7}\right)$
$\chi_{1274}(45,\cdot)$	1274.cb	84	no	$1$	$1$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{13}{84}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{37}{84}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{3}{14}\right)$
$\chi_{1274}(47,\cdot)$	1274.cc	84	no	$1$	$1$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{59}{84}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{43}{84}\right)$	$e\left(\frac{23}{28}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{17}{42}\right)$	$e\left(\frac{5}{14}\right)$
$\chi_{1274}(51,\cdot)$	1274.bw	42	no	$1$	$1$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{11}{42}\right)$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{6}{7}\right)$
$\chi_{1274}(53,\cdot)$	1274.bk	21	no	$1$	$1$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{19}{21}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{17}{21}\right)$	$e\left(\frac{5}{7}\right)$
$\chi_{1274}(55,\cdot)$	1274.bu	42	no	$-1$	$1$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{1}{21}\right)$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{2}{7}\right)$	$e\left(\frac{13}{14}\right)$
$\chi_{1274}(57,\cdot)$	1274.bm	28	no	$-1$	$1$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{17}{28}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{15}{28}\right)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{13}{14}\right)$	$-i$	$e\left(\frac{1}{14}\right)$	$e\left(\frac{3}{14}\right)$	$e\left(\frac{4}{7}\right)$
$\chi_{1274}(59,\cdot)$	1274.cb	84	no	$1$	$1$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{19}{84}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{67}{84}\right)$	$e\left(\frac{17}{84}\right)$	$e\left(\frac{4}{7}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{19}{42}\right)$	$e\left(\frac{13}{14}\right)$
$\chi_{1274}(61,\cdot)$	1274.by	42	no	$-1$	$1$	$e\left(\frac{13}{14}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{37}{42}\right)$	$-1$	$e\left(\frac{13}{21}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{11}{14}\right)$
$\chi_{1274}(67,\cdot)$	1274.be	12	no	$-1$	$1$	$1$	$e\left(\frac{1}{12}\right)$	$1$	$i$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{5}{6}\right)$	$-i$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{6}\right)$	$1$
$\chi_{1274}(69,\cdot)$	1274.bp	42	no	$-1$	$1$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{13}{42}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{23}{42}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{11}{14}\right)$
$\chi_{1274}(71,\cdot)$	1274.cf	84	no	$-1$	$1$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{9}{28}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{65}{84}\right)$	$e\left(\frac{47}{84}\right)$	$e\left(\frac{5}{42}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{9}{14}\right)$	$e\left(\frac{5}{7}\right)$
$\chi_{1274}(73,\cdot)$	1274.cc	84	no	$1$	$1$	$e\left(\frac{37}{42}\right)$	$e\left(\frac{67}{84}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{83}{84}\right)$	$e\left(\frac{19}{28}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{25}{42}\right)$	$e\left(\frac{9}{14}\right)$
$\chi_{1274}(75,\cdot)$	1274.bs	42	no	$-1$	$1$	$e\left(\frac{31}{42}\right)$	$e\left(\frac{5}{21}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{1}{42}\right)$	$e\left(\frac{41}{42}\right)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{7}\right)$	$e\left(\frac{10}{21}\right)$	$e\left(\frac{3}{14}\right)$
$\chi_{1274}(79,\cdot)$	1274.f	3	no	$1$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$	$1$
$\chi_{1274}(81,\cdot)$	1274.bi	21	no	$1$	$1$	$e\left(\frac{3}{7}\right)$	$e\left(\frac{16}{21}\right)$	$e\left(\frac{6}{7}\right)$	$e\left(\frac{1}{7}\right)$	$e\left(\frac{4}{21}\right)$	$e\left(\frac{1}{21}\right)$	$1$	$e\left(\frac{20}{21}\right)$	$e\left(\frac{11}{21}\right)$	$e\left(\frac{2}{7}\right)$

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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	$1274$
Structure	\(C_{6}\times C_{84}\)
Order	$504$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(3\)	\(5\)	\(9\)	\(11\)	\(15\)	\(17\)	\(19\)	\(23\)	\(25\)	\(27\)
\(\chi_{1274}(1,\cdot)\)	1274.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{1274}(3,\cdot)\)	1274.by	42	no	\(-1\)	\(1\)	\(e\left(\frac{5}{14}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(-1\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{1}{14}\right)\)
\(\chi_{1274}(5,\cdot)\)	1274.cc	84	no	\(1\)	\(1\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{65}{84}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{73}{84}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{1}{14}\right)\)
\(\chi_{1274}(9,\cdot)\)	1274.bi	21	no	\(1\)	\(1\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(1\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{1}{7}\right)\)
\(\chi_{1274}(11,\cdot)\)	1274.ca	84	no	\(-1\)	\(1\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{73}{84}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{5}{28}\right)\)	\(e\left(\frac{13}{84}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(i\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{6}{7}\right)\)
\(\chi_{1274}(15,\cdot)\)	1274.cf	84	no	\(-1\)	\(1\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{13}{84}\right)\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{1}{7}\right)\)
\(\chi_{1274}(17,\cdot)\)	1274.bs	42	no	\(-1\)	\(1\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{11}{14}\right)\)
\(\chi_{1274}(19,\cdot)\)	1274.x	12	no	\(1\)	\(1\)	\(-1\)	\(e\left(\frac{11}{12}\right)\)	\(1\)	\(i\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(i\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(-1\)
\(\chi_{1274}(23,\cdot)\)	1274.bv	42	no	\(1\)	\(1\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{5}{7}\right)\)
\(\chi_{1274}(25,\cdot)\)	1274.bw	42	no	\(1\)	\(1\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{1}{7}\right)\)
\(\chi_{1274}(27,\cdot)\)	1274.bh	14	no	\(-1\)	\(1\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(-1\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{3}{14}\right)\)
\(\chi_{1274}(29,\cdot)\)	1274.bj	21	no	\(1\)	\(1\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{2}{7}\right)\)
\(\chi_{1274}(31,\cdot)\)	1274.bc	12	no	\(1\)	\(1\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(-i\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(-1\)
\(\chi_{1274}(33,\cdot)\)	1274.ch	84	no	\(1\)	\(1\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{17}{84}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(-i\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{1274}(37,\cdot)\)	1274.cg	84	no	\(-1\)	\(1\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{29}{84}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{37}{84}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{2}{7}\right)\)
\(\chi_{1274}(41,\cdot)\)	1274.cd	84	no	\(1\)	\(1\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{3}{28}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{73}{84}\right)\)	\(e\left(\frac{67}{84}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{1}{14}\right)\)
\(\chi_{1274}(43,\cdot)\)	1274.bx	42	no	\(1\)	\(1\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{2}{21}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{3}{7}\right)\)
\(\chi_{1274}(45,\cdot)\)	1274.cb	84	no	\(1\)	\(1\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{13}{84}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{37}{84}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{3}{14}\right)\)
\(\chi_{1274}(47,\cdot)\)	1274.cc	84	no	\(1\)	\(1\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{59}{84}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{43}{84}\right)\)	\(e\left(\frac{23}{28}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{17}{42}\right)\)	\(e\left(\frac{5}{14}\right)\)
\(\chi_{1274}(51,\cdot)\)	1274.bw	42	no	\(1\)	\(1\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{6}{7}\right)\)
\(\chi_{1274}(53,\cdot)\)	1274.bk	21	no	\(1\)	\(1\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{19}{21}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{17}{21}\right)\)	\(e\left(\frac{5}{7}\right)\)
\(\chi_{1274}(55,\cdot)\)	1274.bu	42	no	\(-1\)	\(1\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{1274}(57,\cdot)\)	1274.bm	28	no	\(-1\)	\(1\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{17}{28}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{15}{28}\right)\)	\(e\left(\frac{13}{28}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(-i\)	\(e\left(\frac{1}{14}\right)\)	\(e\left(\frac{3}{14}\right)\)	\(e\left(\frac{4}{7}\right)\)
\(\chi_{1274}(59,\cdot)\)	1274.cb	84	no	\(1\)	\(1\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{19}{84}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{67}{84}\right)\)	\(e\left(\frac{17}{84}\right)\)	\(e\left(\frac{4}{7}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{19}{42}\right)\)	\(e\left(\frac{13}{14}\right)\)
\(\chi_{1274}(61,\cdot)\)	1274.by	42	no	\(-1\)	\(1\)	\(e\left(\frac{13}{14}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(-1\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{11}{14}\right)\)
\(\chi_{1274}(67,\cdot)\)	1274.be	12	no	\(-1\)	\(1\)	\(1\)	\(e\left(\frac{1}{12}\right)\)	\(1\)	\(i\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(-i\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(1\)
\(\chi_{1274}(69,\cdot)\)	1274.bp	42	no	\(-1\)	\(1\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{13}{42}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{23}{42}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{11}{14}\right)\)
\(\chi_{1274}(71,\cdot)\)	1274.cf	84	no	\(-1\)	\(1\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{9}{28}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{65}{84}\right)\)	\(e\left(\frac{47}{84}\right)\)	\(e\left(\frac{5}{42}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{5}{7}\right)\)
\(\chi_{1274}(73,\cdot)\)	1274.cc	84	no	\(1\)	\(1\)	\(e\left(\frac{37}{42}\right)\)	\(e\left(\frac{67}{84}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{83}{84}\right)\)	\(e\left(\frac{19}{28}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{9}{14}\right)\)
\(\chi_{1274}(75,\cdot)\)	1274.bs	42	no	\(-1\)	\(1\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{1}{42}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{11}{14}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{10}{21}\right)\)	\(e\left(\frac{3}{14}\right)\)
\(\chi_{1274}(79,\cdot)\)	1274.f	3	no	\(1\)	\(1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(1\)
\(\chi_{1274}(81,\cdot)\)	1274.bi	21	no	\(1\)	\(1\)	\(e\left(\frac{3}{7}\right)\)	\(e\left(\frac{16}{21}\right)\)	\(e\left(\frac{6}{7}\right)\)	\(e\left(\frac{1}{7}\right)\)	\(e\left(\frac{4}{21}\right)\)	\(e\left(\frac{1}{21}\right)\)	\(1\)	\(e\left(\frac{20}{21}\right)\)	\(e\left(\frac{11}{21}\right)\)	\(e\left(\frac{2}{7}\right)\)

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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.