LMFDB - Group of Dirichlet characters of modulus 14891

Show commands: PariGP / SageMath

sage: H = DirichletGroup(14891)

pari: g = idealstar(,14891,2)

Character group

sage: G.order() pari: g.no
Order	=	14890
sage: H.invariants() pari: g.cyc
Structure	=	$C_{14890}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{14891}(2,\cdot)$

First 32 of 14890 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	$-1$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$
$\chi_{14891}(1,\cdot)$	14891.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{14891}(2,\cdot)$	14891.h	14890	yes	$-1$	$1$	$e\left(\frac{1}{14890}\right)$	$e\left(\frac{2344}{7445}\right)$	$e\left(\frac{1}{7445}\right)$	$e\left(\frac{5458}{7445}\right)$	$e\left(\frac{4689}{14890}\right)$	$e\left(\frac{14661}{14890}\right)$	$e\left(\frac{3}{14890}\right)$	$e\left(\frac{4688}{7445}\right)$	$e\left(\frac{10917}{14890}\right)$	$e\left(\frac{3163}{7445}\right)$
$\chi_{14891}(3,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{2344}{7445}\right)$	$e\left(\frac{7297}{7445}\right)$	$e\left(\frac{4688}{7445}\right)$	$e\left(\frac{6084}{7445}\right)$	$e\left(\frac{2196}{7445}\right)$	$e\left(\frac{6709}{7445}\right)$	$e\left(\frac{7032}{7445}\right)$	$e\left(\frac{7149}{7445}\right)$	$e\left(\frac{983}{7445}\right)$	$e\left(\frac{5149}{7445}\right)$
$\chi_{14891}(4,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{1}{7445}\right)$	$e\left(\frac{4688}{7445}\right)$	$e\left(\frac{2}{7445}\right)$	$e\left(\frac{3471}{7445}\right)$	$e\left(\frac{4689}{7445}\right)$	$e\left(\frac{7216}{7445}\right)$	$e\left(\frac{3}{7445}\right)$	$e\left(\frac{1931}{7445}\right)$	$e\left(\frac{3472}{7445}\right)$	$e\left(\frac{6326}{7445}\right)$
$\chi_{14891}(5,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{5458}{7445}\right)$	$e\left(\frac{6084}{7445}\right)$	$e\left(\frac{3471}{7445}\right)$	$e\left(\frac{4638}{7445}\right)$	$e\left(\frac{4097}{7445}\right)$	$e\left(\frac{878}{7445}\right)$	$e\left(\frac{1484}{7445}\right)$	$e\left(\frac{4723}{7445}\right)$	$e\left(\frac{2651}{7445}\right)$	$e\left(\frac{4843}{7445}\right)$
$\chi_{14891}(6,\cdot)$	14891.h	14890	yes	$-1$	$1$	$e\left(\frac{4689}{14890}\right)$	$e\left(\frac{2196}{7445}\right)$	$e\left(\frac{4689}{7445}\right)$	$e\left(\frac{4097}{7445}\right)$	$e\left(\frac{9081}{14890}\right)$	$e\left(\frac{13189}{14890}\right)$	$e\left(\frac{14067}{14890}\right)$	$e\left(\frac{4392}{7445}\right)$	$e\left(\frac{12883}{14890}\right)$	$e\left(\frac{867}{7445}\right)$
$\chi_{14891}(7,\cdot)$	14891.h	14890	yes	$-1$	$1$	$e\left(\frac{14661}{14890}\right)$	$e\left(\frac{6709}{7445}\right)$	$e\left(\frac{7216}{7445}\right)$	$e\left(\frac{878}{7445}\right)$	$e\left(\frac{13189}{14890}\right)$	$e\left(\frac{7771}{14890}\right)$	$e\left(\frac{14203}{14890}\right)$	$e\left(\frac{5973}{7445}\right)$	$e\left(\frac{1527}{14890}\right)$	$e\left(\frac{5283}{7445}\right)$
$\chi_{14891}(8,\cdot)$	14891.h	14890	yes	$-1$	$1$	$e\left(\frac{3}{14890}\right)$	$e\left(\frac{7032}{7445}\right)$	$e\left(\frac{3}{7445}\right)$	$e\left(\frac{1484}{7445}\right)$	$e\left(\frac{14067}{14890}\right)$	$e\left(\frac{14203}{14890}\right)$	$e\left(\frac{9}{14890}\right)$	$e\left(\frac{6619}{7445}\right)$	$e\left(\frac{2971}{14890}\right)$	$e\left(\frac{2044}{7445}\right)$
$\chi_{14891}(9,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{4688}{7445}\right)$	$e\left(\frac{7149}{7445}\right)$	$e\left(\frac{1931}{7445}\right)$	$e\left(\frac{4723}{7445}\right)$	$e\left(\frac{4392}{7445}\right)$	$e\left(\frac{5973}{7445}\right)$	$e\left(\frac{6619}{7445}\right)$	$e\left(\frac{6853}{7445}\right)$	$e\left(\frac{1966}{7445}\right)$	$e\left(\frac{2853}{7445}\right)$
$\chi_{14891}(10,\cdot)$	14891.h	14890	yes	$-1$	$1$	$e\left(\frac{10917}{14890}\right)$	$e\left(\frac{983}{7445}\right)$	$e\left(\frac{3472}{7445}\right)$	$e\left(\frac{2651}{7445}\right)$	$e\left(\frac{12883}{14890}\right)$	$e\left(\frac{1527}{14890}\right)$	$e\left(\frac{2971}{14890}\right)$	$e\left(\frac{1966}{7445}\right)$	$e\left(\frac{1329}{14890}\right)$	$e\left(\frac{561}{7445}\right)$
$\chi_{14891}(11,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{3163}{7445}\right)$	$e\left(\frac{5149}{7445}\right)$	$e\left(\frac{6326}{7445}\right)$	$e\left(\frac{4843}{7445}\right)$	$e\left(\frac{867}{7445}\right)$	$e\left(\frac{5283}{7445}\right)$	$e\left(\frac{2044}{7445}\right)$	$e\left(\frac{2853}{7445}\right)$	$e\left(\frac{561}{7445}\right)$	$e\left(\frac{4423}{7445}\right)$
$\chi_{14891}(12,\cdot)$	14891.e	1489	yes	$1$	$1$	$e\left(\frac{469}{1489}\right)$	$e\left(\frac{908}{1489}\right)$	$e\left(\frac{938}{1489}\right)$	$e\left(\frac{422}{1489}\right)$	$e\left(\frac{1377}{1489}\right)$	$e\left(\frac{1296}{1489}\right)$	$e\left(\frac{1407}{1489}\right)$	$e\left(\frac{327}{1489}\right)$	$e\left(\frac{891}{1489}\right)$	$e\left(\frac{806}{1489}\right)$
$\chi_{14891}(13,\cdot)$	14891.h	14890	yes	$-1$	$1$	$e\left(\frac{6243}{14890}\right)$	$e\left(\frac{4167}{7445}\right)$	$e\left(\frac{6243}{7445}\right)$	$e\left(\frac{5974}{7445}\right)$	$e\left(\frac{14577}{14890}\right)$	$e\left(\frac{14683}{14890}\right)$	$e\left(\frac{3839}{14890}\right)$	$e\left(\frac{889}{7445}\right)$	$e\left(\frac{3301}{14890}\right)$	$e\left(\frac{2469}{7445}\right)$
$\chi_{14891}(14,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{7331}{7445}\right)$	$e\left(\frac{1608}{7445}\right)$	$e\left(\frac{7217}{7445}\right)$	$e\left(\frac{6336}{7445}\right)$	$e\left(\frac{1494}{7445}\right)$	$e\left(\frac{3771}{7445}\right)$	$e\left(\frac{7103}{7445}\right)$	$e\left(\frac{3216}{7445}\right)$	$e\left(\frac{6222}{7445}\right)$	$e\left(\frac{1001}{7445}\right)$
$\chi_{14891}(15,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{357}{7445}\right)$	$e\left(\frac{5936}{7445}\right)$	$e\left(\frac{714}{7445}\right)$	$e\left(\frac{3277}{7445}\right)$	$e\left(\frac{6293}{7445}\right)$	$e\left(\frac{142}{7445}\right)$	$e\left(\frac{1071}{7445}\right)$	$e\left(\frac{4427}{7445}\right)$	$e\left(\frac{3634}{7445}\right)$	$e\left(\frac{2547}{7445}\right)$
$\chi_{14891}(16,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{2}{7445}\right)$	$e\left(\frac{1931}{7445}\right)$	$e\left(\frac{4}{7445}\right)$	$e\left(\frac{6942}{7445}\right)$	$e\left(\frac{1933}{7445}\right)$	$e\left(\frac{6987}{7445}\right)$	$e\left(\frac{6}{7445}\right)$	$e\left(\frac{3862}{7445}\right)$	$e\left(\frac{6944}{7445}\right)$	$e\left(\frac{5207}{7445}\right)$
$\chi_{14891}(17,\cdot)$	14891.e	1489	yes	$1$	$1$	$e\left(\frac{471}{1489}\right)$	$e\left(\frac{1350}{1489}\right)$	$e\left(\frac{942}{1489}\right)$	$e\left(\frac{1408}{1489}\right)$	$e\left(\frac{332}{1489}\right)$	$e\left(\frac{838}{1489}\right)$	$e\left(\frac{1413}{1489}\right)$	$e\left(\frac{1211}{1489}\right)$	$e\left(\frac{390}{1489}\right)$	$e\left(\frac{57}{1489}\right)$
$\chi_{14891}(18,\cdot)$	14891.h	14890	yes	$-1$	$1$	$e\left(\frac{9377}{14890}\right)$	$e\left(\frac{2048}{7445}\right)$	$e\left(\frac{1932}{7445}\right)$	$e\left(\frac{2736}{7445}\right)$	$e\left(\frac{13473}{14890}\right)$	$e\left(\frac{11717}{14890}\right)$	$e\left(\frac{13241}{14890}\right)$	$e\left(\frac{4096}{7445}\right)$	$e\left(\frac{14849}{14890}\right)$	$e\left(\frac{6016}{7445}\right)$
$\chi_{14891}(19,\cdot)$	14891.e	1489	yes	$1$	$1$	$e\left(\frac{1137}{1489}\right)$	$e\left(\frac{1125}{1489}\right)$	$e\left(\frac{785}{1489}\right)$	$e\left(\frac{677}{1489}\right)$	$e\left(\frac{773}{1489}\right)$	$e\left(\frac{202}{1489}\right)$	$e\left(\frac{433}{1489}\right)$	$e\left(\frac{761}{1489}\right)$	$e\left(\frac{325}{1489}\right)$	$e\left(\frac{792}{1489}\right)$
$\chi_{14891}(20,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{5459}{7445}\right)$	$e\left(\frac{3327}{7445}\right)$	$e\left(\frac{3473}{7445}\right)$	$e\left(\frac{664}{7445}\right)$	$e\left(\frac{1341}{7445}\right)$	$e\left(\frac{649}{7445}\right)$	$e\left(\frac{1487}{7445}\right)$	$e\left(\frac{6654}{7445}\right)$	$e\left(\frac{6123}{7445}\right)$	$e\left(\frac{3724}{7445}\right)$
$\chi_{14891}(21,\cdot)$	14891.h	14890	yes	$-1$	$1$	$e\left(\frac{4459}{14890}\right)$	$e\left(\frac{6561}{7445}\right)$	$e\left(\frac{4459}{7445}\right)$	$e\left(\frac{6962}{7445}\right)$	$e\left(\frac{2691}{14890}\right)$	$e\left(\frac{6299}{14890}\right)$	$e\left(\frac{13377}{14890}\right)$	$e\left(\frac{5677}{7445}\right)$	$e\left(\frac{3493}{14890}\right)$	$e\left(\frac{2987}{7445}\right)$
$\chi_{14891}(22,\cdot)$	14891.h	14890	yes	$-1$	$1$	$e\left(\frac{6327}{14890}\right)$	$e\left(\frac{48}{7445}\right)$	$e\left(\frac{6327}{7445}\right)$	$e\left(\frac{2856}{7445}\right)$	$e\left(\frac{6423}{14890}\right)$	$e\left(\frac{10337}{14890}\right)$	$e\left(\frac{4091}{14890}\right)$	$e\left(\frac{96}{7445}\right)$	$e\left(\frac{12039}{14890}\right)$	$e\left(\frac{141}{7445}\right)$
$\chi_{14891}(23,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{1189}{7445}\right)$	$e\left(\frac{5172}{7445}\right)$	$e\left(\frac{2378}{7445}\right)$	$e\left(\frac{2489}{7445}\right)$	$e\left(\frac{6361}{7445}\right)$	$e\left(\frac{3184}{7445}\right)$	$e\left(\frac{3567}{7445}\right)$	$e\left(\frac{2899}{7445}\right)$	$e\left(\frac{3678}{7445}\right)$	$e\left(\frac{2164}{7445}\right)$
$\chi_{14891}(24,\cdot)$	14891.h	14890	yes	$-1$	$1$	$e\left(\frac{4691}{14890}\right)$	$e\left(\frac{6884}{7445}\right)$	$e\left(\frac{4691}{7445}\right)$	$e\left(\frac{123}{7445}\right)$	$e\left(\frac{3569}{14890}\right)$	$e\left(\frac{12731}{14890}\right)$	$e\left(\frac{14073}{14890}\right)$	$e\left(\frac{6323}{7445}\right)$	$e\left(\frac{4937}{14890}\right)$	$e\left(\frac{7193}{7445}\right)$
$\chi_{14891}(25,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{3471}{7445}\right)$	$e\left(\frac{4723}{7445}\right)$	$e\left(\frac{6942}{7445}\right)$	$e\left(\frac{1831}{7445}\right)$	$e\left(\frac{749}{7445}\right)$	$e\left(\frac{1756}{7445}\right)$	$e\left(\frac{2968}{7445}\right)$	$e\left(\frac{2001}{7445}\right)$	$e\left(\frac{5302}{7445}\right)$	$e\left(\frac{2241}{7445}\right)$
$\chi_{14891}(26,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{3122}{7445}\right)$	$e\left(\frac{6511}{7445}\right)$	$e\left(\frac{6244}{7445}\right)$	$e\left(\frac{3987}{7445}\right)$	$e\left(\frac{2188}{7445}\right)$	$e\left(\frac{7227}{7445}\right)$	$e\left(\frac{1921}{7445}\right)$	$e\left(\frac{5577}{7445}\right)$	$e\left(\frac{7109}{7445}\right)$	$e\left(\frac{5632}{7445}\right)$
$\chi_{14891}(27,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{7032}{7445}\right)$	$e\left(\frac{7001}{7445}\right)$	$e\left(\frac{6619}{7445}\right)$	$e\left(\frac{3362}{7445}\right)$	$e\left(\frac{6588}{7445}\right)$	$e\left(\frac{5237}{7445}\right)$	$e\left(\frac{6206}{7445}\right)$	$e\left(\frac{6557}{7445}\right)$	$e\left(\frac{2949}{7445}\right)$	$e\left(\frac{557}{7445}\right)$
$\chi_{14891}(28,\cdot)$	14891.h	14890	yes	$-1$	$1$	$e\left(\frac{14663}{14890}\right)$	$e\left(\frac{3952}{7445}\right)$	$e\left(\frac{7218}{7445}\right)$	$e\left(\frac{4349}{7445}\right)$	$e\left(\frac{7677}{14890}\right)$	$e\left(\frac{7313}{14890}\right)$	$e\left(\frac{14209}{14890}\right)$	$e\left(\frac{459}{7445}\right)$	$e\left(\frac{8471}{14890}\right)$	$e\left(\frac{4164}{7445}\right)$
$\chi_{14891}(29,\cdot)$	14891.h	14890	yes	$-1$	$1$	$e\left(\frac{11563}{14890}\right)$	$e\left(\frac{3872}{7445}\right)$	$e\left(\frac{4118}{7445}\right)$	$e\left(\frac{7034}{7445}\right)$	$e\left(\frac{4417}{14890}\right)$	$e\left(\frac{2493}{14890}\right)$	$e\left(\frac{4909}{14890}\right)$	$e\left(\frac{299}{7445}\right)$	$e\left(\frac{10741}{14890}\right)$	$e\left(\frac{3929}{7445}\right)$
$\chi_{14891}(30,\cdot)$	14891.f	2978	yes	$-1$	$1$	$e\left(\frac{143}{2978}\right)$	$e\left(\frac{167}{1489}\right)$	$e\left(\frac{143}{1489}\right)$	$e\left(\frac{258}{1489}\right)$	$e\left(\frac{477}{2978}\right)$	$e\left(\frac{11}{2978}\right)$	$e\left(\frac{429}{2978}\right)$	$e\left(\frac{334}{1489}\right)$	$e\left(\frac{659}{2978}\right)$	$e\left(\frac{1142}{1489}\right)$
$\chi_{14891}(31,\cdot)$	14891.g	7445	yes	$1$	$1$	$e\left(\frac{6526}{7445}\right)$	$e\left(\frac{2383}{7445}\right)$	$e\left(\frac{5607}{7445}\right)$	$e\left(\frac{4056}{7445}\right)$	$e\left(\frac{1464}{7445}\right)$	$e\left(\frac{1991}{7445}\right)$	$e\left(\frac{4688}{7445}\right)$	$e\left(\frac{4766}{7445}\right)$	$e\left(\frac{3137}{7445}\right)$	$e\left(\frac{951}{7445}\right)$
$\chi_{14891}(32,\cdot)$	14891.f	2978	yes	$-1$	$1$	$e\left(\frac{1}{2978}\right)$	$e\left(\frac{855}{1489}\right)$	$e\left(\frac{1}{1489}\right)$	$e\left(\frac{991}{1489}\right)$	$e\left(\frac{1711}{2978}\right)$	$e\left(\frac{2749}{2978}\right)$	$e\left(\frac{3}{2978}\right)$	$e\left(\frac{221}{1489}\right)$	$e\left(\frac{1983}{2978}\right)$	$e\left(\frac{185}{1489}\right)$

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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	$14891$
Structure	\(C_{14890}\)
Order	$14890$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\(\chi_{14891}(1,\cdot)\)	14891.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{14891}(2,\cdot)\)	14891.h	14890	yes	\(-1\)	\(1\)	\(e\left(\frac{1}{14890}\right)\)	\(e\left(\frac{2344}{7445}\right)\)	\(e\left(\frac{1}{7445}\right)\)	\(e\left(\frac{5458}{7445}\right)\)	\(e\left(\frac{4689}{14890}\right)\)	\(e\left(\frac{14661}{14890}\right)\)	\(e\left(\frac{3}{14890}\right)\)	\(e\left(\frac{4688}{7445}\right)\)	\(e\left(\frac{10917}{14890}\right)\)	\(e\left(\frac{3163}{7445}\right)\)
\(\chi_{14891}(3,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{2344}{7445}\right)\)	\(e\left(\frac{7297}{7445}\right)\)	\(e\left(\frac{4688}{7445}\right)\)	\(e\left(\frac{6084}{7445}\right)\)	\(e\left(\frac{2196}{7445}\right)\)	\(e\left(\frac{6709}{7445}\right)\)	\(e\left(\frac{7032}{7445}\right)\)	\(e\left(\frac{7149}{7445}\right)\)	\(e\left(\frac{983}{7445}\right)\)	\(e\left(\frac{5149}{7445}\right)\)
\(\chi_{14891}(4,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{1}{7445}\right)\)	\(e\left(\frac{4688}{7445}\right)\)	\(e\left(\frac{2}{7445}\right)\)	\(e\left(\frac{3471}{7445}\right)\)	\(e\left(\frac{4689}{7445}\right)\)	\(e\left(\frac{7216}{7445}\right)\)	\(e\left(\frac{3}{7445}\right)\)	\(e\left(\frac{1931}{7445}\right)\)	\(e\left(\frac{3472}{7445}\right)\)	\(e\left(\frac{6326}{7445}\right)\)
\(\chi_{14891}(5,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{5458}{7445}\right)\)	\(e\left(\frac{6084}{7445}\right)\)	\(e\left(\frac{3471}{7445}\right)\)	\(e\left(\frac{4638}{7445}\right)\)	\(e\left(\frac{4097}{7445}\right)\)	\(e\left(\frac{878}{7445}\right)\)	\(e\left(\frac{1484}{7445}\right)\)	\(e\left(\frac{4723}{7445}\right)\)	\(e\left(\frac{2651}{7445}\right)\)	\(e\left(\frac{4843}{7445}\right)\)
\(\chi_{14891}(6,\cdot)\)	14891.h	14890	yes	\(-1\)	\(1\)	\(e\left(\frac{4689}{14890}\right)\)	\(e\left(\frac{2196}{7445}\right)\)	\(e\left(\frac{4689}{7445}\right)\)	\(e\left(\frac{4097}{7445}\right)\)	\(e\left(\frac{9081}{14890}\right)\)	\(e\left(\frac{13189}{14890}\right)\)	\(e\left(\frac{14067}{14890}\right)\)	\(e\left(\frac{4392}{7445}\right)\)	\(e\left(\frac{12883}{14890}\right)\)	\(e\left(\frac{867}{7445}\right)\)
\(\chi_{14891}(7,\cdot)\)	14891.h	14890	yes	\(-1\)	\(1\)	\(e\left(\frac{14661}{14890}\right)\)	\(e\left(\frac{6709}{7445}\right)\)	\(e\left(\frac{7216}{7445}\right)\)	\(e\left(\frac{878}{7445}\right)\)	\(e\left(\frac{13189}{14890}\right)\)	\(e\left(\frac{7771}{14890}\right)\)	\(e\left(\frac{14203}{14890}\right)\)	\(e\left(\frac{5973}{7445}\right)\)	\(e\left(\frac{1527}{14890}\right)\)	\(e\left(\frac{5283}{7445}\right)\)
\(\chi_{14891}(8,\cdot)\)	14891.h	14890	yes	\(-1\)	\(1\)	\(e\left(\frac{3}{14890}\right)\)	\(e\left(\frac{7032}{7445}\right)\)	\(e\left(\frac{3}{7445}\right)\)	\(e\left(\frac{1484}{7445}\right)\)	\(e\left(\frac{14067}{14890}\right)\)	\(e\left(\frac{14203}{14890}\right)\)	\(e\left(\frac{9}{14890}\right)\)	\(e\left(\frac{6619}{7445}\right)\)	\(e\left(\frac{2971}{14890}\right)\)	\(e\left(\frac{2044}{7445}\right)\)
\(\chi_{14891}(9,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{4688}{7445}\right)\)	\(e\left(\frac{7149}{7445}\right)\)	\(e\left(\frac{1931}{7445}\right)\)	\(e\left(\frac{4723}{7445}\right)\)	\(e\left(\frac{4392}{7445}\right)\)	\(e\left(\frac{5973}{7445}\right)\)	\(e\left(\frac{6619}{7445}\right)\)	\(e\left(\frac{6853}{7445}\right)\)	\(e\left(\frac{1966}{7445}\right)\)	\(e\left(\frac{2853}{7445}\right)\)
\(\chi_{14891}(10,\cdot)\)	14891.h	14890	yes	\(-1\)	\(1\)	\(e\left(\frac{10917}{14890}\right)\)	\(e\left(\frac{983}{7445}\right)\)	\(e\left(\frac{3472}{7445}\right)\)	\(e\left(\frac{2651}{7445}\right)\)	\(e\left(\frac{12883}{14890}\right)\)	\(e\left(\frac{1527}{14890}\right)\)	\(e\left(\frac{2971}{14890}\right)\)	\(e\left(\frac{1966}{7445}\right)\)	\(e\left(\frac{1329}{14890}\right)\)	\(e\left(\frac{561}{7445}\right)\)
\(\chi_{14891}(11,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{3163}{7445}\right)\)	\(e\left(\frac{5149}{7445}\right)\)	\(e\left(\frac{6326}{7445}\right)\)	\(e\left(\frac{4843}{7445}\right)\)	\(e\left(\frac{867}{7445}\right)\)	\(e\left(\frac{5283}{7445}\right)\)	\(e\left(\frac{2044}{7445}\right)\)	\(e\left(\frac{2853}{7445}\right)\)	\(e\left(\frac{561}{7445}\right)\)	\(e\left(\frac{4423}{7445}\right)\)
\(\chi_{14891}(12,\cdot)\)	14891.e	1489	yes	\(1\)	\(1\)	\(e\left(\frac{469}{1489}\right)\)	\(e\left(\frac{908}{1489}\right)\)	\(e\left(\frac{938}{1489}\right)\)	\(e\left(\frac{422}{1489}\right)\)	\(e\left(\frac{1377}{1489}\right)\)	\(e\left(\frac{1296}{1489}\right)\)	\(e\left(\frac{1407}{1489}\right)\)	\(e\left(\frac{327}{1489}\right)\)	\(e\left(\frac{891}{1489}\right)\)	\(e\left(\frac{806}{1489}\right)\)
\(\chi_{14891}(13,\cdot)\)	14891.h	14890	yes	\(-1\)	\(1\)	\(e\left(\frac{6243}{14890}\right)\)	\(e\left(\frac{4167}{7445}\right)\)	\(e\left(\frac{6243}{7445}\right)\)	\(e\left(\frac{5974}{7445}\right)\)	\(e\left(\frac{14577}{14890}\right)\)	\(e\left(\frac{14683}{14890}\right)\)	\(e\left(\frac{3839}{14890}\right)\)	\(e\left(\frac{889}{7445}\right)\)	\(e\left(\frac{3301}{14890}\right)\)	\(e\left(\frac{2469}{7445}\right)\)
\(\chi_{14891}(14,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{7331}{7445}\right)\)	\(e\left(\frac{1608}{7445}\right)\)	\(e\left(\frac{7217}{7445}\right)\)	\(e\left(\frac{6336}{7445}\right)\)	\(e\left(\frac{1494}{7445}\right)\)	\(e\left(\frac{3771}{7445}\right)\)	\(e\left(\frac{7103}{7445}\right)\)	\(e\left(\frac{3216}{7445}\right)\)	\(e\left(\frac{6222}{7445}\right)\)	\(e\left(\frac{1001}{7445}\right)\)
\(\chi_{14891}(15,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{357}{7445}\right)\)	\(e\left(\frac{5936}{7445}\right)\)	\(e\left(\frac{714}{7445}\right)\)	\(e\left(\frac{3277}{7445}\right)\)	\(e\left(\frac{6293}{7445}\right)\)	\(e\left(\frac{142}{7445}\right)\)	\(e\left(\frac{1071}{7445}\right)\)	\(e\left(\frac{4427}{7445}\right)\)	\(e\left(\frac{3634}{7445}\right)\)	\(e\left(\frac{2547}{7445}\right)\)
\(\chi_{14891}(16,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{2}{7445}\right)\)	\(e\left(\frac{1931}{7445}\right)\)	\(e\left(\frac{4}{7445}\right)\)	\(e\left(\frac{6942}{7445}\right)\)	\(e\left(\frac{1933}{7445}\right)\)	\(e\left(\frac{6987}{7445}\right)\)	\(e\left(\frac{6}{7445}\right)\)	\(e\left(\frac{3862}{7445}\right)\)	\(e\left(\frac{6944}{7445}\right)\)	\(e\left(\frac{5207}{7445}\right)\)
\(\chi_{14891}(17,\cdot)\)	14891.e	1489	yes	\(1\)	\(1\)	\(e\left(\frac{471}{1489}\right)\)	\(e\left(\frac{1350}{1489}\right)\)	\(e\left(\frac{942}{1489}\right)\)	\(e\left(\frac{1408}{1489}\right)\)	\(e\left(\frac{332}{1489}\right)\)	\(e\left(\frac{838}{1489}\right)\)	\(e\left(\frac{1413}{1489}\right)\)	\(e\left(\frac{1211}{1489}\right)\)	\(e\left(\frac{390}{1489}\right)\)	\(e\left(\frac{57}{1489}\right)\)
\(\chi_{14891}(18,\cdot)\)	14891.h	14890	yes	\(-1\)	\(1\)	\(e\left(\frac{9377}{14890}\right)\)	\(e\left(\frac{2048}{7445}\right)\)	\(e\left(\frac{1932}{7445}\right)\)	\(e\left(\frac{2736}{7445}\right)\)	\(e\left(\frac{13473}{14890}\right)\)	\(e\left(\frac{11717}{14890}\right)\)	\(e\left(\frac{13241}{14890}\right)\)	\(e\left(\frac{4096}{7445}\right)\)	\(e\left(\frac{14849}{14890}\right)\)	\(e\left(\frac{6016}{7445}\right)\)
\(\chi_{14891}(19,\cdot)\)	14891.e	1489	yes	\(1\)	\(1\)	\(e\left(\frac{1137}{1489}\right)\)	\(e\left(\frac{1125}{1489}\right)\)	\(e\left(\frac{785}{1489}\right)\)	\(e\left(\frac{677}{1489}\right)\)	\(e\left(\frac{773}{1489}\right)\)	\(e\left(\frac{202}{1489}\right)\)	\(e\left(\frac{433}{1489}\right)\)	\(e\left(\frac{761}{1489}\right)\)	\(e\left(\frac{325}{1489}\right)\)	\(e\left(\frac{792}{1489}\right)\)
\(\chi_{14891}(20,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{5459}{7445}\right)\)	\(e\left(\frac{3327}{7445}\right)\)	\(e\left(\frac{3473}{7445}\right)\)	\(e\left(\frac{664}{7445}\right)\)	\(e\left(\frac{1341}{7445}\right)\)	\(e\left(\frac{649}{7445}\right)\)	\(e\left(\frac{1487}{7445}\right)\)	\(e\left(\frac{6654}{7445}\right)\)	\(e\left(\frac{6123}{7445}\right)\)	\(e\left(\frac{3724}{7445}\right)\)
\(\chi_{14891}(21,\cdot)\)	14891.h	14890	yes	\(-1\)	\(1\)	\(e\left(\frac{4459}{14890}\right)\)	\(e\left(\frac{6561}{7445}\right)\)	\(e\left(\frac{4459}{7445}\right)\)	\(e\left(\frac{6962}{7445}\right)\)	\(e\left(\frac{2691}{14890}\right)\)	\(e\left(\frac{6299}{14890}\right)\)	\(e\left(\frac{13377}{14890}\right)\)	\(e\left(\frac{5677}{7445}\right)\)	\(e\left(\frac{3493}{14890}\right)\)	\(e\left(\frac{2987}{7445}\right)\)
\(\chi_{14891}(22,\cdot)\)	14891.h	14890	yes	\(-1\)	\(1\)	\(e\left(\frac{6327}{14890}\right)\)	\(e\left(\frac{48}{7445}\right)\)	\(e\left(\frac{6327}{7445}\right)\)	\(e\left(\frac{2856}{7445}\right)\)	\(e\left(\frac{6423}{14890}\right)\)	\(e\left(\frac{10337}{14890}\right)\)	\(e\left(\frac{4091}{14890}\right)\)	\(e\left(\frac{96}{7445}\right)\)	\(e\left(\frac{12039}{14890}\right)\)	\(e\left(\frac{141}{7445}\right)\)
\(\chi_{14891}(23,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{1189}{7445}\right)\)	\(e\left(\frac{5172}{7445}\right)\)	\(e\left(\frac{2378}{7445}\right)\)	\(e\left(\frac{2489}{7445}\right)\)	\(e\left(\frac{6361}{7445}\right)\)	\(e\left(\frac{3184}{7445}\right)\)	\(e\left(\frac{3567}{7445}\right)\)	\(e\left(\frac{2899}{7445}\right)\)	\(e\left(\frac{3678}{7445}\right)\)	\(e\left(\frac{2164}{7445}\right)\)
\(\chi_{14891}(24,\cdot)\)	14891.h	14890	yes	\(-1\)	\(1\)	\(e\left(\frac{4691}{14890}\right)\)	\(e\left(\frac{6884}{7445}\right)\)	\(e\left(\frac{4691}{7445}\right)\)	\(e\left(\frac{123}{7445}\right)\)	\(e\left(\frac{3569}{14890}\right)\)	\(e\left(\frac{12731}{14890}\right)\)	\(e\left(\frac{14073}{14890}\right)\)	\(e\left(\frac{6323}{7445}\right)\)	\(e\left(\frac{4937}{14890}\right)\)	\(e\left(\frac{7193}{7445}\right)\)
\(\chi_{14891}(25,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{3471}{7445}\right)\)	\(e\left(\frac{4723}{7445}\right)\)	\(e\left(\frac{6942}{7445}\right)\)	\(e\left(\frac{1831}{7445}\right)\)	\(e\left(\frac{749}{7445}\right)\)	\(e\left(\frac{1756}{7445}\right)\)	\(e\left(\frac{2968}{7445}\right)\)	\(e\left(\frac{2001}{7445}\right)\)	\(e\left(\frac{5302}{7445}\right)\)	\(e\left(\frac{2241}{7445}\right)\)
\(\chi_{14891}(26,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{3122}{7445}\right)\)	\(e\left(\frac{6511}{7445}\right)\)	\(e\left(\frac{6244}{7445}\right)\)	\(e\left(\frac{3987}{7445}\right)\)	\(e\left(\frac{2188}{7445}\right)\)	\(e\left(\frac{7227}{7445}\right)\)	\(e\left(\frac{1921}{7445}\right)\)	\(e\left(\frac{5577}{7445}\right)\)	\(e\left(\frac{7109}{7445}\right)\)	\(e\left(\frac{5632}{7445}\right)\)
\(\chi_{14891}(27,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{7032}{7445}\right)\)	\(e\left(\frac{7001}{7445}\right)\)	\(e\left(\frac{6619}{7445}\right)\)	\(e\left(\frac{3362}{7445}\right)\)	\(e\left(\frac{6588}{7445}\right)\)	\(e\left(\frac{5237}{7445}\right)\)	\(e\left(\frac{6206}{7445}\right)\)	\(e\left(\frac{6557}{7445}\right)\)	\(e\left(\frac{2949}{7445}\right)\)	\(e\left(\frac{557}{7445}\right)\)
\(\chi_{14891}(28,\cdot)\)	14891.h	14890	yes	\(-1\)	\(1\)	\(e\left(\frac{14663}{14890}\right)\)	\(e\left(\frac{3952}{7445}\right)\)	\(e\left(\frac{7218}{7445}\right)\)	\(e\left(\frac{4349}{7445}\right)\)	\(e\left(\frac{7677}{14890}\right)\)	\(e\left(\frac{7313}{14890}\right)\)	\(e\left(\frac{14209}{14890}\right)\)	\(e\left(\frac{459}{7445}\right)\)	\(e\left(\frac{8471}{14890}\right)\)	\(e\left(\frac{4164}{7445}\right)\)
\(\chi_{14891}(29,\cdot)\)	14891.h	14890	yes	\(-1\)	\(1\)	\(e\left(\frac{11563}{14890}\right)\)	\(e\left(\frac{3872}{7445}\right)\)	\(e\left(\frac{4118}{7445}\right)\)	\(e\left(\frac{7034}{7445}\right)\)	\(e\left(\frac{4417}{14890}\right)\)	\(e\left(\frac{2493}{14890}\right)\)	\(e\left(\frac{4909}{14890}\right)\)	\(e\left(\frac{299}{7445}\right)\)	\(e\left(\frac{10741}{14890}\right)\)	\(e\left(\frac{3929}{7445}\right)\)
\(\chi_{14891}(30,\cdot)\)	14891.f	2978	yes	\(-1\)	\(1\)	\(e\left(\frac{143}{2978}\right)\)	\(e\left(\frac{167}{1489}\right)\)	\(e\left(\frac{143}{1489}\right)\)	\(e\left(\frac{258}{1489}\right)\)	\(e\left(\frac{477}{2978}\right)\)	\(e\left(\frac{11}{2978}\right)\)	\(e\left(\frac{429}{2978}\right)\)	\(e\left(\frac{334}{1489}\right)\)	\(e\left(\frac{659}{2978}\right)\)	\(e\left(\frac{1142}{1489}\right)\)
\(\chi_{14891}(31,\cdot)\)	14891.g	7445	yes	\(1\)	\(1\)	\(e\left(\frac{6526}{7445}\right)\)	\(e\left(\frac{2383}{7445}\right)\)	\(e\left(\frac{5607}{7445}\right)\)	\(e\left(\frac{4056}{7445}\right)\)	\(e\left(\frac{1464}{7445}\right)\)	\(e\left(\frac{1991}{7445}\right)\)	\(e\left(\frac{4688}{7445}\right)\)	\(e\left(\frac{4766}{7445}\right)\)	\(e\left(\frac{3137}{7445}\right)\)	\(e\left(\frac{951}{7445}\right)\)
\(\chi_{14891}(32,\cdot)\)	14891.f	2978	yes	\(-1\)	\(1\)	\(e\left(\frac{1}{2978}\right)\)	\(e\left(\frac{855}{1489}\right)\)	\(e\left(\frac{1}{1489}\right)\)	\(e\left(\frac{991}{1489}\right)\)	\(e\left(\frac{1711}{2978}\right)\)	\(e\left(\frac{2749}{2978}\right)\)	\(e\left(\frac{3}{2978}\right)\)	\(e\left(\frac{221}{1489}\right)\)	\(e\left(\frac{1983}{2978}\right)\)	\(e\left(\frac{185}{1489}\right)\)

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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.