LMFDB - Group of Dirichlet characters of modulus 2496

Show commands: PariGP / SageMath

sage: H = DirichletGroup(2496)

pari: g = idealstar(,2496,2)

Character group

sage: G.order() pari: g.no
Order	=	768
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{2}\times C_{4}\times C_{48}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{2496}(703,\cdot)$, $\chi_{2496}(1093,\cdot)$, $\chi_{2496}(833,\cdot)$, $\chi_{2496}(769,\cdot)$

First 32 of 768 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	$-1$	$1$	$5$	$7$	$11$	$17$	$19$	$23$	$25$	$29$	$31$	$35$
$\chi_{2496}(1,\cdot)$	2496.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{2496}(5,\cdot)$	2496.dw	16	yes	$1$	$1$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{1}{16}\right)$	$-i$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{3}{16}\right)$	$i$	$e\left(\frac{3}{16}\right)$
$\chi_{2496}(7,\cdot)$	2496.eu	24	no	$1$	$1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{5}{12}\right)$	$-i$	$e\left(\frac{13}{24}\right)$	$-i$	$e\left(\frac{17}{24}\right)$
$\chi_{2496}(11,\cdot)$	2496.fc	48	yes	$-1$	$1$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{13}{48}\right)$	$i$	$e\left(\frac{5}{48}\right)$
$\chi_{2496}(17,\cdot)$	2496.da	12	no	$-1$	$1$	$-i$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{5}{12}\right)$	$-1$	$e\left(\frac{1}{12}\right)$
$\chi_{2496}(19,\cdot)$	2496.fi	48	no	$1$	$1$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{23}{48}\right)$	$-i$	$e\left(\frac{31}{48}\right)$
$\chi_{2496}(23,\cdot)$	2496.ep	24	no	$1$	$1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{7}{12}\right)$	$-i$	$e\left(\frac{11}{24}\right)$	$1$	$e\left(\frac{7}{24}\right)$
$\chi_{2496}(25,\cdot)$	2496.ci	8	no	$1$	$1$	$e\left(\frac{5}{8}\right)$	$-i$	$e\left(\frac{1}{8}\right)$	$-1$	$e\left(\frac{3}{8}\right)$	$-i$	$i$	$e\left(\frac{3}{8}\right)$	$-1$	$e\left(\frac{3}{8}\right)$
$\chi_{2496}(29,\cdot)$	2496.ez	48	yes	$-1$	$1$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{13}{48}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{23}{48}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{19}{48}\right)$	$-1$	$e\left(\frac{35}{48}\right)$
$\chi_{2496}(31,\cdot)$	2496.bb	4	no	$1$	$1$	$i$	$-i$	$i$	$-1$	$-i$	$1$	$-1$	$-1$	$i$	$1$
$\chi_{2496}(35,\cdot)$	2496.fn	48	yes	$1$	$1$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{5}{48}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{35}{48}\right)$	$1$	$e\left(\frac{43}{48}\right)$
$\chi_{2496}(37,\cdot)$	2496.fd	48	no	$-1$	$1$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{43}{48}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{41}{48}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{25}{48}\right)$	$-i$	$e\left(\frac{41}{48}\right)$
$\chi_{2496}(41,\cdot)$	2496.el	24	no	$1$	$1$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{7}{12}\right)$	$i$	$e\left(\frac{11}{24}\right)$	$-i$	$e\left(\frac{19}{24}\right)$
$\chi_{2496}(43,\cdot)$	2496.ey	48	no	$-1$	$1$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{11}{24}\right)$	$e\left(\frac{35}{48}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{48}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{29}{48}\right)$	$-1$	$e\left(\frac{37}{48}\right)$
$\chi_{2496}(47,\cdot)$	2496.s	4	no	$-1$	$1$	$-1$	$-i$	$-1$	$1$	$1$	$1$	$1$	$-i$	$-i$	$i$
$\chi_{2496}(49,\cdot)$	2496.cz	12	no	$1$	$1$	$-i$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{1}{12}\right)$	$-1$	$e\left(\frac{5}{12}\right)$
$\chi_{2496}(53,\cdot)$	2496.du	16	no	$-1$	$1$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{1}{16}\right)$	$i$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{15}{16}\right)$	$-1$	$e\left(\frac{15}{16}\right)$
$\chi_{2496}(55,\cdot)$	2496.er	24	no	$-1$	$1$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{1}{12}\right)$	$-i$	$e\left(\frac{11}{24}\right)$	$-1$	$e\left(\frac{7}{24}\right)$
$\chi_{2496}(59,\cdot)$	2496.fc	48	yes	$-1$	$1$	$e\left(\frac{13}{16}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{35}{48}\right)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{25}{48}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{41}{48}\right)$	$i$	$e\left(\frac{1}{48}\right)$
$\chi_{2496}(61,\cdot)$	2496.fb	48	no	$1$	$1$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{29}{48}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{31}{48}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{35}{48}\right)$	$-1$	$e\left(\frac{19}{48}\right)$
$\chi_{2496}(67,\cdot)$	2496.fi	48	no	$1$	$1$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{7}{24}\right)$	$e\left(\frac{1}{48}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{11}{48}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{19}{48}\right)$	$-i$	$e\left(\frac{11}{48}\right)$
$\chi_{2496}(71,\cdot)$	2496.ek	24	no	$-1$	$1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{24}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{23}{24}\right)$	$e\left(\frac{11}{12}\right)$	$-i$	$e\left(\frac{1}{24}\right)$	$i$	$e\left(\frac{5}{24}\right)$
$\chi_{2496}(73,\cdot)$	2496.cg	8	no	$-1$	$1$	$e\left(\frac{5}{8}\right)$	$-1$	$e\left(\frac{5}{8}\right)$	$1$	$e\left(\frac{7}{8}\right)$	$-i$	$i$	$e\left(\frac{1}{8}\right)$	$i$	$e\left(\frac{1}{8}\right)$
$\chi_{2496}(77,\cdot)$	2496.eh	16	yes	$-1$	$1$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{11}{16}\right)$	$-i$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{13}{16}\right)$	$1$	$e\left(\frac{13}{16}\right)$
$\chi_{2496}(79,\cdot)$	2496.bk	4	no	$-1$	$1$	$i$	$1$	$-i$	$1$	$i$	$1$	$-1$	$-i$	$-1$	$i$
$\chi_{2496}(83,\cdot)$	2496.dz	16	yes	$-1$	$1$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{7}{16}\right)$	$i$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{5}{8}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{5}{16}\right)$	$-i$	$e\left(\frac{13}{16}\right)$
$\chi_{2496}(85,\cdot)$	2496.fd	48	no	$-1$	$1$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{23}{48}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{13}{48}\right)$	$e\left(\frac{13}{24}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{29}{48}\right)$	$-i$	$e\left(\frac{13}{48}\right)$
$\chi_{2496}(89,\cdot)$	2496.el	24	no	$1$	$1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{24}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{1}{12}\right)$	$-i$	$e\left(\frac{5}{24}\right)$	$i$	$e\left(\frac{13}{24}\right)$
$\chi_{2496}(95,\cdot)$	2496.bq	6	no	$1$	$1$	$-1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$1$	$e\left(\frac{2}{3}\right)$	$1$	$e\left(\frac{5}{6}\right)$
$\chi_{2496}(97,\cdot)$	2496.dj	12	no	$-1$	$1$	$i$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{6}\right)$	$-1$	$e\left(\frac{1}{6}\right)$	$-i$	$e\left(\frac{5}{6}\right)$
$\chi_{2496}(101,\cdot)$	2496.fk	48	yes	$-1$	$1$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{19}{24}\right)$	$e\left(\frac{7}{48}\right)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{48}\right)$	$e\left(\frac{17}{24}\right)$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{1}{48}\right)$	$1$	$e\left(\frac{17}{48}\right)$
$\chi_{2496}(103,\cdot)$	2496.cl	8	no	$-1$	$1$	$e\left(\frac{5}{8}\right)$	$i$	$e\left(\frac{5}{8}\right)$	$-1$	$e\left(\frac{7}{8}\right)$	$i$	$i$	$e\left(\frac{3}{8}\right)$	$1$	$e\left(\frac{7}{8}\right)$

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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	$2496$
Structure	\(C_{2}\times C_{2}\times C_{4}\times C_{48}\)
Order	$768$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(35\)
\(\chi_{2496}(1,\cdot)\)	2496.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{2496}(5,\cdot)\)	2496.dw	16	yes	\(1\)	\(1\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(-i\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{3}{16}\right)\)	\(i\)	\(e\left(\frac{3}{16}\right)\)
\(\chi_{2496}(7,\cdot)\)	2496.eu	24	no	\(1\)	\(1\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(-i\)	\(e\left(\frac{13}{24}\right)\)	\(-i\)	\(e\left(\frac{17}{24}\right)\)
\(\chi_{2496}(11,\cdot)\)	2496.fc	48	yes	\(-1\)	\(1\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{13}{48}\right)\)	\(i\)	\(e\left(\frac{5}{48}\right)\)
\(\chi_{2496}(17,\cdot)\)	2496.da	12	no	\(-1\)	\(1\)	\(-i\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(-1\)	\(e\left(\frac{5}{12}\right)\)	\(-1\)	\(e\left(\frac{1}{12}\right)\)
\(\chi_{2496}(19,\cdot)\)	2496.fi	48	no	\(1\)	\(1\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{23}{48}\right)\)	\(-i\)	\(e\left(\frac{31}{48}\right)\)
\(\chi_{2496}(23,\cdot)\)	2496.ep	24	no	\(1\)	\(1\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(-i\)	\(e\left(\frac{11}{24}\right)\)	\(1\)	\(e\left(\frac{7}{24}\right)\)
\(\chi_{2496}(25,\cdot)\)	2496.ci	8	no	\(1\)	\(1\)	\(e\left(\frac{5}{8}\right)\)	\(-i\)	\(e\left(\frac{1}{8}\right)\)	\(-1\)	\(e\left(\frac{3}{8}\right)\)	\(-i\)	\(i\)	\(e\left(\frac{3}{8}\right)\)	\(-1\)	\(e\left(\frac{3}{8}\right)\)
\(\chi_{2496}(29,\cdot)\)	2496.ez	48	yes	\(-1\)	\(1\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{13}{48}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{23}{48}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{19}{48}\right)\)	\(-1\)	\(e\left(\frac{35}{48}\right)\)
\(\chi_{2496}(31,\cdot)\)	2496.bb	4	no	\(1\)	\(1\)	\(i\)	\(-i\)	\(i\)	\(-1\)	\(-i\)	\(1\)	\(-1\)	\(-1\)	\(i\)	\(1\)
\(\chi_{2496}(35,\cdot)\)	2496.fn	48	yes	\(1\)	\(1\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{5}{48}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{35}{48}\right)\)	\(1\)	\(e\left(\frac{43}{48}\right)\)
\(\chi_{2496}(37,\cdot)\)	2496.fd	48	no	\(-1\)	\(1\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{43}{48}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{41}{48}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{25}{48}\right)\)	\(-i\)	\(e\left(\frac{41}{48}\right)\)
\(\chi_{2496}(41,\cdot)\)	2496.el	24	no	\(1\)	\(1\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(i\)	\(e\left(\frac{11}{24}\right)\)	\(-i\)	\(e\left(\frac{19}{24}\right)\)
\(\chi_{2496}(43,\cdot)\)	2496.ey	48	no	\(-1\)	\(1\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{11}{24}\right)\)	\(e\left(\frac{35}{48}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{1}{48}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(-1\)	\(e\left(\frac{37}{48}\right)\)
\(\chi_{2496}(47,\cdot)\)	2496.s	4	no	\(-1\)	\(1\)	\(-1\)	\(-i\)	\(-1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(-i\)	\(-i\)	\(i\)
\(\chi_{2496}(49,\cdot)\)	2496.cz	12	no	\(1\)	\(1\)	\(-i\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(-1\)	\(e\left(\frac{1}{12}\right)\)	\(-1\)	\(e\left(\frac{5}{12}\right)\)
\(\chi_{2496}(53,\cdot)\)	2496.du	16	no	\(-1\)	\(1\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{1}{16}\right)\)	\(i\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{15}{16}\right)\)	\(-1\)	\(e\left(\frac{15}{16}\right)\)
\(\chi_{2496}(55,\cdot)\)	2496.er	24	no	\(-1\)	\(1\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(-i\)	\(e\left(\frac{11}{24}\right)\)	\(-1\)	\(e\left(\frac{7}{24}\right)\)
\(\chi_{2496}(59,\cdot)\)	2496.fc	48	yes	\(-1\)	\(1\)	\(e\left(\frac{13}{16}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{35}{48}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{25}{48}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{41}{48}\right)\)	\(i\)	\(e\left(\frac{1}{48}\right)\)
\(\chi_{2496}(61,\cdot)\)	2496.fb	48	no	\(1\)	\(1\)	\(e\left(\frac{3}{16}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{31}{48}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{35}{48}\right)\)	\(-1\)	\(e\left(\frac{19}{48}\right)\)
\(\chi_{2496}(67,\cdot)\)	2496.fi	48	no	\(1\)	\(1\)	\(e\left(\frac{15}{16}\right)\)	\(e\left(\frac{7}{24}\right)\)	\(e\left(\frac{1}{48}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{11}{48}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{19}{48}\right)\)	\(-i\)	\(e\left(\frac{11}{48}\right)\)
\(\chi_{2496}(71,\cdot)\)	2496.ek	24	no	\(-1\)	\(1\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{1}{24}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{23}{24}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(-i\)	\(e\left(\frac{1}{24}\right)\)	\(i\)	\(e\left(\frac{5}{24}\right)\)
\(\chi_{2496}(73,\cdot)\)	2496.cg	8	no	\(-1\)	\(1\)	\(e\left(\frac{5}{8}\right)\)	\(-1\)	\(e\left(\frac{5}{8}\right)\)	\(1\)	\(e\left(\frac{7}{8}\right)\)	\(-i\)	\(i\)	\(e\left(\frac{1}{8}\right)\)	\(i\)	\(e\left(\frac{1}{8}\right)\)
\(\chi_{2496}(77,\cdot)\)	2496.eh	16	yes	\(-1\)	\(1\)	\(e\left(\frac{15}{16}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{11}{16}\right)\)	\(-i\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{13}{16}\right)\)	\(1\)	\(e\left(\frac{13}{16}\right)\)
\(\chi_{2496}(79,\cdot)\)	2496.bk	4	no	\(-1\)	\(1\)	\(i\)	\(1\)	\(-i\)	\(1\)	\(i\)	\(1\)	\(-1\)	\(-i\)	\(-1\)	\(i\)
\(\chi_{2496}(83,\cdot)\)	2496.dz	16	yes	\(-1\)	\(1\)	\(e\left(\frac{11}{16}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{7}{16}\right)\)	\(i\)	\(e\left(\frac{5}{16}\right)\)	\(e\left(\frac{5}{8}\right)\)	\(e\left(\frac{3}{8}\right)\)	\(e\left(\frac{5}{16}\right)\)	\(-i\)	\(e\left(\frac{13}{16}\right)\)
\(\chi_{2496}(85,\cdot)\)	2496.fd	48	no	\(-1\)	\(1\)	\(e\left(\frac{1}{16}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{23}{48}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{13}{48}\right)\)	\(e\left(\frac{13}{24}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{29}{48}\right)\)	\(-i\)	\(e\left(\frac{13}{48}\right)\)
\(\chi_{2496}(89,\cdot)\)	2496.el	24	no	\(1\)	\(1\)	\(e\left(\frac{7}{8}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{24}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(-i\)	\(e\left(\frac{5}{24}\right)\)	\(i\)	\(e\left(\frac{13}{24}\right)\)
\(\chi_{2496}(95,\cdot)\)	2496.bq	6	no	\(1\)	\(1\)	\(-1\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(1\)	\(e\left(\frac{2}{3}\right)\)	\(1\)	\(e\left(\frac{5}{6}\right)\)
\(\chi_{2496}(97,\cdot)\)	2496.dj	12	no	\(-1\)	\(1\)	\(i\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{5}{12}\right)\)	\(e\left(\frac{5}{6}\right)\)	\(e\left(\frac{7}{12}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(-1\)	\(e\left(\frac{1}{6}\right)\)	\(-i\)	\(e\left(\frac{5}{6}\right)\)
\(\chi_{2496}(101,\cdot)\)	2496.fk	48	yes	\(-1\)	\(1\)	\(e\left(\frac{9}{16}\right)\)	\(e\left(\frac{19}{24}\right)\)	\(e\left(\frac{7}{48}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{5}{48}\right)\)	\(e\left(\frac{17}{24}\right)\)	\(e\left(\frac{1}{8}\right)\)	\(e\left(\frac{1}{48}\right)\)	\(1\)	\(e\left(\frac{17}{48}\right)\)
\(\chi_{2496}(103,\cdot)\)	2496.cl	8	no	\(-1\)	\(1\)	\(e\left(\frac{5}{8}\right)\)	\(i\)	\(e\left(\frac{5}{8}\right)\)	\(-1\)	\(e\left(\frac{7}{8}\right)\)	\(i\)	\(i\)	\(e\left(\frac{3}{8}\right)\)	\(1\)	\(e\left(\frac{7}{8}\right)\)

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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.