LMFDB - Group of Dirichlet characters of modulus 35937

Show commands: PariGP / SageMath

sage: H = DirichletGroup(35937)

pari: g = idealstar(,35937,2)

Character group

sage: G.order() pari: g.no
Order	=	21780
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{10890}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{35937}(22628,\cdot)$, $\chi_{35937}(13312,\cdot)$

First 32 of 21780 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	$-1$	$1$	$2$	$4$	$5$	$7$	$8$	$10$	$13$	$14$	$16$	$17$
$\chi_{35937}(1,\cdot)$	35937.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{35937}(2,\cdot)$	35937.cs	10890	yes	$1$	$1$	$e\left(\frac{307}{5445}\right)$	$e\left(\frac{614}{5445}\right)$	$e\left(\frac{4681}{10890}\right)$	$e\left(\frac{3803}{10890}\right)$	$e\left(\frac{307}{1815}\right)$	$e\left(\frac{353}{726}\right)$	$e\left(\frac{4759}{10890}\right)$	$e\left(\frac{4417}{10890}\right)$	$e\left(\frac{1228}{5445}\right)$	$e\left(\frac{1751}{1815}\right)$
$\chi_{35937}(4,\cdot)$	35937.cq	5445	yes	$1$	$1$	$e\left(\frac{614}{5445}\right)$	$e\left(\frac{1228}{5445}\right)$	$e\left(\frac{4681}{5445}\right)$	$e\left(\frac{3803}{5445}\right)$	$e\left(\frac{614}{1815}\right)$	$e\left(\frac{353}{363}\right)$	$e\left(\frac{4759}{5445}\right)$	$e\left(\frac{4417}{5445}\right)$	$e\left(\frac{2456}{5445}\right)$	$e\left(\frac{1687}{1815}\right)$
$\chi_{35937}(5,\cdot)$	35937.cr	10890	yes	$-1$	$1$	$e\left(\frac{4681}{10890}\right)$	$e\left(\frac{4681}{5445}\right)$	$e\left(\frac{4019}{10890}\right)$	$e\left(\frac{791}{5445}\right)$	$e\left(\frac{1051}{3630}\right)$	$e\left(\frac{290}{363}\right)$	$e\left(\frac{4648}{5445}\right)$	$e\left(\frac{6263}{10890}\right)$	$e\left(\frac{3917}{5445}\right)$	$e\left(\frac{1253}{3630}\right)$
$\chi_{35937}(7,\cdot)$	35937.ct	10890	yes	$-1$	$1$	$e\left(\frac{3803}{10890}\right)$	$e\left(\frac{3803}{5445}\right)$	$e\left(\frac{791}{5445}\right)$	$e\left(\frac{6821}{10890}\right)$	$e\left(\frac{173}{3630}\right)$	$e\left(\frac{359}{726}\right)$	$e\left(\frac{10543}{10890}\right)$	$e\left(\frac{5312}{5445}\right)$	$e\left(\frac{2161}{5445}\right)$	$e\left(\frac{1909}{3630}\right)$
$\chi_{35937}(8,\cdot)$	35937.co	3630	no	$1$	$1$	$e\left(\frac{307}{1815}\right)$	$e\left(\frac{614}{1815}\right)$	$e\left(\frac{1051}{3630}\right)$	$e\left(\frac{173}{3630}\right)$	$e\left(\frac{307}{605}\right)$	$e\left(\frac{111}{242}\right)$	$e\left(\frac{1129}{3630}\right)$	$e\left(\frac{787}{3630}\right)$	$e\left(\frac{1228}{1815}\right)$	$e\left(\frac{541}{605}\right)$
$\chi_{35937}(10,\cdot)$	35937.ca	726	no	$-1$	$1$	$e\left(\frac{353}{726}\right)$	$e\left(\frac{353}{363}\right)$	$e\left(\frac{290}{363}\right)$	$e\left(\frac{359}{726}\right)$	$e\left(\frac{111}{242}\right)$	$e\left(\frac{69}{242}\right)$	$e\left(\frac{211}{726}\right)$	$e\left(\frac{356}{363}\right)$	$e\left(\frac{343}{363}\right)$	$e\left(\frac{75}{242}\right)$
$\chi_{35937}(13,\cdot)$	35937.ct	10890	yes	$-1$	$1$	$e\left(\frac{4759}{10890}\right)$	$e\left(\frac{4759}{5445}\right)$	$e\left(\frac{4648}{5445}\right)$	$e\left(\frac{10543}{10890}\right)$	$e\left(\frac{1129}{3630}\right)$	$e\left(\frac{211}{726}\right)$	$e\left(\frac{6779}{10890}\right)$	$e\left(\frac{2206}{5445}\right)$	$e\left(\frac{4073}{5445}\right)$	$e\left(\frac{1757}{3630}\right)$
$\chi_{35937}(14,\cdot)$	35937.cr	10890	yes	$-1$	$1$	$e\left(\frac{4417}{10890}\right)$	$e\left(\frac{4417}{5445}\right)$	$e\left(\frac{6263}{10890}\right)$	$e\left(\frac{5312}{5445}\right)$	$e\left(\frac{787}{3630}\right)$	$e\left(\frac{356}{363}\right)$	$e\left(\frac{2206}{5445}\right)$	$e\left(\frac{4151}{10890}\right)$	$e\left(\frac{3389}{5445}\right)$	$e\left(\frac{1781}{3630}\right)$
$\chi_{35937}(16,\cdot)$	35937.cq	5445	yes	$1$	$1$	$e\left(\frac{1228}{5445}\right)$	$e\left(\frac{2456}{5445}\right)$	$e\left(\frac{3917}{5445}\right)$	$e\left(\frac{2161}{5445}\right)$	$e\left(\frac{1228}{1815}\right)$	$e\left(\frac{343}{363}\right)$	$e\left(\frac{4073}{5445}\right)$	$e\left(\frac{3389}{5445}\right)$	$e\left(\frac{4912}{5445}\right)$	$e\left(\frac{1559}{1815}\right)$
$\chi_{35937}(17,\cdot)$	35937.co	3630	no	$1$	$1$	$e\left(\frac{1751}{1815}\right)$	$e\left(\frac{1687}{1815}\right)$	$e\left(\frac{1253}{3630}\right)$	$e\left(\frac{1909}{3630}\right)$	$e\left(\frac{541}{605}\right)$	$e\left(\frac{75}{242}\right)$	$e\left(\frac{1757}{3630}\right)$	$e\left(\frac{1781}{3630}\right)$	$e\left(\frac{1559}{1815}\right)$	$e\left(\frac{238}{605}\right)$
$\chi_{35937}(19,\cdot)$	35937.cp	3630	no	$-1$	$1$	$e\left(\frac{2009}{3630}\right)$	$e\left(\frac{194}{1815}\right)$	$e\left(\frac{908}{1815}\right)$	$e\left(\frac{2183}{3630}\right)$	$e\left(\frac{799}{1210}\right)$	$e\left(\frac{13}{242}\right)$	$e\left(\frac{1279}{3630}\right)$	$e\left(\frac{281}{1815}\right)$	$e\left(\frac{388}{1815}\right)$	$e\left(\frac{1207}{1210}\right)$
$\chi_{35937}(20,\cdot)$	35937.cr	10890	yes	$-1$	$1$	$e\left(\frac{5909}{10890}\right)$	$e\left(\frac{464}{5445}\right)$	$e\left(\frac{2491}{10890}\right)$	$e\left(\frac{4594}{5445}\right)$	$e\left(\frac{2279}{3630}\right)$	$e\left(\frac{280}{363}\right)$	$e\left(\frac{3962}{5445}\right)$	$e\left(\frac{4207}{10890}\right)$	$e\left(\frac{928}{5445}\right)$	$e\left(\frac{997}{3630}\right)$
$\chi_{35937}(23,\cdot)$	35937.cm	2178	yes	$-1$	$1$	$e\left(\frac{1853}{2178}\right)$	$e\left(\frac{764}{1089}\right)$	$e\left(\frac{337}{2178}\right)$	$e\left(\frac{298}{1089}\right)$	$e\left(\frac{401}{726}\right)$	$e\left(\frac{2}{363}\right)$	$e\left(\frac{797}{1089}\right)$	$e\left(\frac{271}{2178}\right)$	$e\left(\frac{439}{1089}\right)$	$e\left(\frac{199}{726}\right)$
$\chi_{35937}(25,\cdot)$	35937.cq	5445	yes	$1$	$1$	$e\left(\frac{4681}{5445}\right)$	$e\left(\frac{3917}{5445}\right)$	$e\left(\frac{4019}{5445}\right)$	$e\left(\frac{1582}{5445}\right)$	$e\left(\frac{1051}{1815}\right)$	$e\left(\frac{217}{363}\right)$	$e\left(\frac{3851}{5445}\right)$	$e\left(\frac{818}{5445}\right)$	$e\left(\frac{2389}{5445}\right)$	$e\left(\frac{1253}{1815}\right)$
$\chi_{35937}(26,\cdot)$	35937.ci	1210	no	$-1$	$1$	$e\left(\frac{597}{1210}\right)$	$e\left(\frac{597}{605}\right)$	$e\left(\frac{343}{1210}\right)$	$e\left(\frac{192}{605}\right)$	$e\left(\frac{581}{1210}\right)$	$e\left(\frac{94}{121}\right)$	$e\left(\frac{36}{605}\right)$	$e\left(\frac{981}{1210}\right)$	$e\left(\frac{589}{605}\right)$	$e\left(\frac{543}{1210}\right)$
$\chi_{35937}(28,\cdot)$	35937.cg	1210	no	$-1$	$1$	$e\left(\frac{559}{1210}\right)$	$e\left(\frac{559}{605}\right)$	$e\left(\frac{3}{605}\right)$	$e\left(\frac{393}{1210}\right)$	$e\left(\frac{467}{1210}\right)$	$e\left(\frac{113}{242}\right)$	$e\left(\frac{1019}{1210}\right)$	$e\left(\frac{476}{605}\right)$	$e\left(\frac{513}{605}\right)$	$e\left(\frac{551}{1210}\right)$
$\chi_{35937}(29,\cdot)$	35937.cs	10890	yes	$1$	$1$	$e\left(\frac{1864}{5445}\right)$	$e\left(\frac{3728}{5445}\right)$	$e\left(\frac{487}{10890}\right)$	$e\left(\frac{6791}{10890}\right)$	$e\left(\frac{49}{1815}\right)$	$e\left(\frac{281}{726}\right)$	$e\left(\frac{9403}{10890}\right)$	$e\left(\frac{10519}{10890}\right)$	$e\left(\frac{2011}{5445}\right)$	$e\left(\frac{782}{1815}\right)$
$\chi_{35937}(31,\cdot)$	35937.cq	5445	yes	$1$	$1$	$e\left(\frac{4952}{5445}\right)$	$e\left(\frac{4459}{5445}\right)$	$e\left(\frac{2458}{5445}\right)$	$e\left(\frac{2489}{5445}\right)$	$e\left(\frac{1322}{1815}\right)$	$e\left(\frac{131}{363}\right)$	$e\left(\frac{3832}{5445}\right)$	$e\left(\frac{1996}{5445}\right)$	$e\left(\frac{3473}{5445}\right)$	$e\left(\frac{1096}{1815}\right)$
$\chi_{35937}(32,\cdot)$	35937.cl	2178	yes	$1$	$1$	$e\left(\frac{307}{1089}\right)$	$e\left(\frac{614}{1089}\right)$	$e\left(\frac{325}{2178}\right)$	$e\left(\frac{1625}{2178}\right)$	$e\left(\frac{307}{363}\right)$	$e\left(\frac{313}{726}\right)$	$e\left(\frac{403}{2178}\right)$	$e\left(\frac{61}{2178}\right)$	$e\left(\frac{139}{1089}\right)$	$e\left(\frac{299}{363}\right)$
$\chi_{35937}(34,\cdot)$	35937.cf	1089	yes	$1$	$1$	$e\left(\frac{23}{1089}\right)$	$e\left(\frac{46}{1089}\right)$	$e\left(\frac{844}{1089}\right)$	$e\left(\frac{953}{1089}\right)$	$e\left(\frac{23}{363}\right)$	$e\left(\frac{289}{363}\right)$	$e\left(\frac{1003}{1089}\right)$	$e\left(\frac{976}{1089}\right)$	$e\left(\frac{92}{1089}\right)$	$e\left(\frac{130}{363}\right)$
$\chi_{35937}(35,\cdot)$	35937.co	3630	no	$1$	$1$	$e\left(\frac{1414}{1815}\right)$	$e\left(\frac{1013}{1815}\right)$	$e\left(\frac{1867}{3630}\right)$	$e\left(\frac{2801}{3630}\right)$	$e\left(\frac{204}{605}\right)$	$e\left(\frac{71}{242}\right)$	$e\left(\frac{2983}{3630}\right)$	$e\left(\frac{1999}{3630}\right)$	$e\left(\frac{211}{1815}\right)$	$e\left(\frac{527}{605}\right)$
$\chi_{35937}(37,\cdot)$	35937.cj	1815	no	$1$	$1$	$e\left(\frac{503}{1815}\right)$	$e\left(\frac{1006}{1815}\right)$	$e\left(\frac{592}{1815}\right)$	$e\left(\frac{56}{1815}\right)$	$e\left(\frac{503}{605}\right)$	$e\left(\frac{73}{121}\right)$	$e\left(\frac{313}{1815}\right)$	$e\left(\frac{559}{1815}\right)$	$e\left(\frac{197}{1815}\right)$	$e\left(\frac{39}{605}\right)$
$\chi_{35937}(38,\cdot)$	35937.cr	10890	yes	$-1$	$1$	$e\left(\frac{6641}{10890}\right)$	$e\left(\frac{1196}{5445}\right)$	$e\left(\frac{10129}{10890}\right)$	$e\left(\frac{5176}{5445}\right)$	$e\left(\frac{3011}{3630}\right)$	$e\left(\frac{196}{363}\right)$	$e\left(\frac{4298}{5445}\right)$	$e\left(\frac{6103}{10890}\right)$	$e\left(\frac{2392}{5445}\right)$	$e\left(\frac{3493}{3630}\right)$
$\chi_{35937}(40,\cdot)$	35937.cd	990	no	$-1$	$1$	$e\left(\frac{593}{990}\right)$	$e\left(\frac{98}{495}\right)$	$e\left(\frac{326}{495}\right)$	$e\left(\frac{191}{990}\right)$	$e\left(\frac{263}{330}\right)$	$e\left(\frac{17}{66}\right)$	$e\left(\frac{163}{990}\right)$	$e\left(\frac{392}{495}\right)$	$e\left(\frac{196}{495}\right)$	$e\left(\frac{79}{330}\right)$
$\chi_{35937}(41,\cdot)$	35937.cs	10890	yes	$1$	$1$	$e\left(\frac{1781}{5445}\right)$	$e\left(\frac{3562}{5445}\right)$	$e\left(\frac{1403}{10890}\right)$	$e\left(\frac{2659}{10890}\right)$	$e\left(\frac{1781}{1815}\right)$	$e\left(\frac{331}{726}\right)$	$e\left(\frac{1217}{10890}\right)$	$e\left(\frac{6221}{10890}\right)$	$e\left(\frac{1679}{5445}\right)$	$e\left(\frac{13}{1815}\right)$
$\chi_{35937}(43,\cdot)$	35937.ck	2178	yes	$-1$	$1$	$e\left(\frac{925}{2178}\right)$	$e\left(\frac{925}{1089}\right)$	$e\left(\frac{400}{1089}\right)$	$e\left(\frac{733}{2178}\right)$	$e\left(\frac{199}{726}\right)$	$e\left(\frac{575}{726}\right)$	$e\left(\frac{2081}{2178}\right)$	$e\left(\frac{829}{1089}\right)$	$e\left(\frac{761}{1089}\right)$	$e\left(\frac{383}{726}\right)$
$\chi_{35937}(46,\cdot)$	35937.cp	3630	no	$-1$	$1$	$e\left(\frac{3293}{3630}\right)$	$e\left(\frac{1478}{1815}\right)$	$e\left(\frac{1061}{1815}\right)$	$e\left(\frac{2261}{3630}\right)$	$e\left(\frac{873}{1210}\right)$	$e\left(\frac{119}{242}\right)$	$e\left(\frac{613}{3630}\right)$	$e\left(\frac{962}{1815}\right)$	$e\left(\frac{1141}{1815}\right)$	$e\left(\frac{289}{1210}\right)$
$\chi_{35937}(47,\cdot)$	35937.cr	10890	yes	$-1$	$1$	$e\left(\frac{1157}{10890}\right)$	$e\left(\frac{1157}{5445}\right)$	$e\left(\frac{10213}{10890}\right)$	$e\left(\frac{4297}{5445}\right)$	$e\left(\frac{1157}{3630}\right)$	$e\left(\frac{16}{363}\right)$	$e\left(\frac{3566}{5445}\right)$	$e\left(\frac{9751}{10890}\right)$	$e\left(\frac{2314}{5445}\right)$	$e\left(\frac{3241}{3630}\right)$
$\chi_{35937}(49,\cdot)$	35937.cq	5445	yes	$1$	$1$	$e\left(\frac{3803}{5445}\right)$	$e\left(\frac{2161}{5445}\right)$	$e\left(\frac{1582}{5445}\right)$	$e\left(\frac{1376}{5445}\right)$	$e\left(\frac{173}{1815}\right)$	$e\left(\frac{359}{363}\right)$	$e\left(\frac{5098}{5445}\right)$	$e\left(\frac{5179}{5445}\right)$	$e\left(\frac{4322}{5445}\right)$	$e\left(\frac{94}{1815}\right)$
$\chi_{35937}(50,\cdot)$	35937.cs	10890	yes	$1$	$1$	$e\left(\frac{4988}{5445}\right)$	$e\left(\frac{4531}{5445}\right)$	$e\left(\frac{1829}{10890}\right)$	$e\left(\frac{6967}{10890}\right)$	$e\left(\frac{1358}{1815}\right)$	$e\left(\frac{61}{726}\right)$	$e\left(\frac{1571}{10890}\right)$	$e\left(\frac{6053}{10890}\right)$	$e\left(\frac{3617}{5445}\right)$	$e\left(\frac{1189}{1815}\right)$
$\chi_{35937}(52,\cdot)$	35937.ct	10890	yes	$-1$	$1$	$e\left(\frac{5987}{10890}\right)$	$e\left(\frac{542}{5445}\right)$	$e\left(\frac{3884}{5445}\right)$	$e\left(\frac{7259}{10890}\right)$	$e\left(\frac{2357}{3630}\right)$	$e\left(\frac{191}{726}\right)$	$e\left(\frac{5407}{10890}\right)$	$e\left(\frac{1178}{5445}\right)$	$e\left(\frac{1084}{5445}\right)$	$e\left(\frac{1501}{3630}\right)$

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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	$35937$
Structure	\(C_{2}\times C_{10890}\)
Order	$21780$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(13\)	\(14\)	\(16\)	\(17\)
\(\chi_{35937}(1,\cdot)\)	35937.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{35937}(2,\cdot)\)	35937.cs	10890	yes	\(1\)	\(1\)	\(e\left(\frac{307}{5445}\right)\)	\(e\left(\frac{614}{5445}\right)\)	\(e\left(\frac{4681}{10890}\right)\)	\(e\left(\frac{3803}{10890}\right)\)	\(e\left(\frac{307}{1815}\right)\)	\(e\left(\frac{353}{726}\right)\)	\(e\left(\frac{4759}{10890}\right)\)	\(e\left(\frac{4417}{10890}\right)\)	\(e\left(\frac{1228}{5445}\right)\)	\(e\left(\frac{1751}{1815}\right)\)
\(\chi_{35937}(4,\cdot)\)	35937.cq	5445	yes	\(1\)	\(1\)	\(e\left(\frac{614}{5445}\right)\)	\(e\left(\frac{1228}{5445}\right)\)	\(e\left(\frac{4681}{5445}\right)\)	\(e\left(\frac{3803}{5445}\right)\)	\(e\left(\frac{614}{1815}\right)\)	\(e\left(\frac{353}{363}\right)\)	\(e\left(\frac{4759}{5445}\right)\)	\(e\left(\frac{4417}{5445}\right)\)	\(e\left(\frac{2456}{5445}\right)\)	\(e\left(\frac{1687}{1815}\right)\)
\(\chi_{35937}(5,\cdot)\)	35937.cr	10890	yes	\(-1\)	\(1\)	\(e\left(\frac{4681}{10890}\right)\)	\(e\left(\frac{4681}{5445}\right)\)	\(e\left(\frac{4019}{10890}\right)\)	\(e\left(\frac{791}{5445}\right)\)	\(e\left(\frac{1051}{3630}\right)\)	\(e\left(\frac{290}{363}\right)\)	\(e\left(\frac{4648}{5445}\right)\)	\(e\left(\frac{6263}{10890}\right)\)	\(e\left(\frac{3917}{5445}\right)\)	\(e\left(\frac{1253}{3630}\right)\)
\(\chi_{35937}(7,\cdot)\)	35937.ct	10890	yes	\(-1\)	\(1\)	\(e\left(\frac{3803}{10890}\right)\)	\(e\left(\frac{3803}{5445}\right)\)	\(e\left(\frac{791}{5445}\right)\)	\(e\left(\frac{6821}{10890}\right)\)	\(e\left(\frac{173}{3630}\right)\)	\(e\left(\frac{359}{726}\right)\)	\(e\left(\frac{10543}{10890}\right)\)	\(e\left(\frac{5312}{5445}\right)\)	\(e\left(\frac{2161}{5445}\right)\)	\(e\left(\frac{1909}{3630}\right)\)
\(\chi_{35937}(8,\cdot)\)	35937.co	3630	no	\(1\)	\(1\)	\(e\left(\frac{307}{1815}\right)\)	\(e\left(\frac{614}{1815}\right)\)	\(e\left(\frac{1051}{3630}\right)\)	\(e\left(\frac{173}{3630}\right)\)	\(e\left(\frac{307}{605}\right)\)	\(e\left(\frac{111}{242}\right)\)	\(e\left(\frac{1129}{3630}\right)\)	\(e\left(\frac{787}{3630}\right)\)	\(e\left(\frac{1228}{1815}\right)\)	\(e\left(\frac{541}{605}\right)\)
\(\chi_{35937}(10,\cdot)\)	35937.ca	726	no	\(-1\)	\(1\)	\(e\left(\frac{353}{726}\right)\)	\(e\left(\frac{353}{363}\right)\)	\(e\left(\frac{290}{363}\right)\)	\(e\left(\frac{359}{726}\right)\)	\(e\left(\frac{111}{242}\right)\)	\(e\left(\frac{69}{242}\right)\)	\(e\left(\frac{211}{726}\right)\)	\(e\left(\frac{356}{363}\right)\)	\(e\left(\frac{343}{363}\right)\)	\(e\left(\frac{75}{242}\right)\)
\(\chi_{35937}(13,\cdot)\)	35937.ct	10890	yes	\(-1\)	\(1\)	\(e\left(\frac{4759}{10890}\right)\)	\(e\left(\frac{4759}{5445}\right)\)	\(e\left(\frac{4648}{5445}\right)\)	\(e\left(\frac{10543}{10890}\right)\)	\(e\left(\frac{1129}{3630}\right)\)	\(e\left(\frac{211}{726}\right)\)	\(e\left(\frac{6779}{10890}\right)\)	\(e\left(\frac{2206}{5445}\right)\)	\(e\left(\frac{4073}{5445}\right)\)	\(e\left(\frac{1757}{3630}\right)\)
\(\chi_{35937}(14,\cdot)\)	35937.cr	10890	yes	\(-1\)	\(1\)	\(e\left(\frac{4417}{10890}\right)\)	\(e\left(\frac{4417}{5445}\right)\)	\(e\left(\frac{6263}{10890}\right)\)	\(e\left(\frac{5312}{5445}\right)\)	\(e\left(\frac{787}{3630}\right)\)	\(e\left(\frac{356}{363}\right)\)	\(e\left(\frac{2206}{5445}\right)\)	\(e\left(\frac{4151}{10890}\right)\)	\(e\left(\frac{3389}{5445}\right)\)	\(e\left(\frac{1781}{3630}\right)\)
\(\chi_{35937}(16,\cdot)\)	35937.cq	5445	yes	\(1\)	\(1\)	\(e\left(\frac{1228}{5445}\right)\)	\(e\left(\frac{2456}{5445}\right)\)	\(e\left(\frac{3917}{5445}\right)\)	\(e\left(\frac{2161}{5445}\right)\)	\(e\left(\frac{1228}{1815}\right)\)	\(e\left(\frac{343}{363}\right)\)	\(e\left(\frac{4073}{5445}\right)\)	\(e\left(\frac{3389}{5445}\right)\)	\(e\left(\frac{4912}{5445}\right)\)	\(e\left(\frac{1559}{1815}\right)\)
\(\chi_{35937}(17,\cdot)\)	35937.co	3630	no	\(1\)	\(1\)	\(e\left(\frac{1751}{1815}\right)\)	\(e\left(\frac{1687}{1815}\right)\)	\(e\left(\frac{1253}{3630}\right)\)	\(e\left(\frac{1909}{3630}\right)\)	\(e\left(\frac{541}{605}\right)\)	\(e\left(\frac{75}{242}\right)\)	\(e\left(\frac{1757}{3630}\right)\)	\(e\left(\frac{1781}{3630}\right)\)	\(e\left(\frac{1559}{1815}\right)\)	\(e\left(\frac{238}{605}\right)\)
\(\chi_{35937}(19,\cdot)\)	35937.cp	3630	no	\(-1\)	\(1\)	\(e\left(\frac{2009}{3630}\right)\)	\(e\left(\frac{194}{1815}\right)\)	\(e\left(\frac{908}{1815}\right)\)	\(e\left(\frac{2183}{3630}\right)\)	\(e\left(\frac{799}{1210}\right)\)	\(e\left(\frac{13}{242}\right)\)	\(e\left(\frac{1279}{3630}\right)\)	\(e\left(\frac{281}{1815}\right)\)	\(e\left(\frac{388}{1815}\right)\)	\(e\left(\frac{1207}{1210}\right)\)
\(\chi_{35937}(20,\cdot)\)	35937.cr	10890	yes	\(-1\)	\(1\)	\(e\left(\frac{5909}{10890}\right)\)	\(e\left(\frac{464}{5445}\right)\)	\(e\left(\frac{2491}{10890}\right)\)	\(e\left(\frac{4594}{5445}\right)\)	\(e\left(\frac{2279}{3630}\right)\)	\(e\left(\frac{280}{363}\right)\)	\(e\left(\frac{3962}{5445}\right)\)	\(e\left(\frac{4207}{10890}\right)\)	\(e\left(\frac{928}{5445}\right)\)	\(e\left(\frac{997}{3630}\right)\)
\(\chi_{35937}(23,\cdot)\)	35937.cm	2178	yes	\(-1\)	\(1\)	\(e\left(\frac{1853}{2178}\right)\)	\(e\left(\frac{764}{1089}\right)\)	\(e\left(\frac{337}{2178}\right)\)	\(e\left(\frac{298}{1089}\right)\)	\(e\left(\frac{401}{726}\right)\)	\(e\left(\frac{2}{363}\right)\)	\(e\left(\frac{797}{1089}\right)\)	\(e\left(\frac{271}{2178}\right)\)	\(e\left(\frac{439}{1089}\right)\)	\(e\left(\frac{199}{726}\right)\)
\(\chi_{35937}(25,\cdot)\)	35937.cq	5445	yes	\(1\)	\(1\)	\(e\left(\frac{4681}{5445}\right)\)	\(e\left(\frac{3917}{5445}\right)\)	\(e\left(\frac{4019}{5445}\right)\)	\(e\left(\frac{1582}{5445}\right)\)	\(e\left(\frac{1051}{1815}\right)\)	\(e\left(\frac{217}{363}\right)\)	\(e\left(\frac{3851}{5445}\right)\)	\(e\left(\frac{818}{5445}\right)\)	\(e\left(\frac{2389}{5445}\right)\)	\(e\left(\frac{1253}{1815}\right)\)
\(\chi_{35937}(26,\cdot)\)	35937.ci	1210	no	\(-1\)	\(1\)	\(e\left(\frac{597}{1210}\right)\)	\(e\left(\frac{597}{605}\right)\)	\(e\left(\frac{343}{1210}\right)\)	\(e\left(\frac{192}{605}\right)\)	\(e\left(\frac{581}{1210}\right)\)	\(e\left(\frac{94}{121}\right)\)	\(e\left(\frac{36}{605}\right)\)	\(e\left(\frac{981}{1210}\right)\)	\(e\left(\frac{589}{605}\right)\)	\(e\left(\frac{543}{1210}\right)\)
\(\chi_{35937}(28,\cdot)\)	35937.cg	1210	no	\(-1\)	\(1\)	\(e\left(\frac{559}{1210}\right)\)	\(e\left(\frac{559}{605}\right)\)	\(e\left(\frac{3}{605}\right)\)	\(e\left(\frac{393}{1210}\right)\)	\(e\left(\frac{467}{1210}\right)\)	\(e\left(\frac{113}{242}\right)\)	\(e\left(\frac{1019}{1210}\right)\)	\(e\left(\frac{476}{605}\right)\)	\(e\left(\frac{513}{605}\right)\)	\(e\left(\frac{551}{1210}\right)\)
\(\chi_{35937}(29,\cdot)\)	35937.cs	10890	yes	\(1\)	\(1\)	\(e\left(\frac{1864}{5445}\right)\)	\(e\left(\frac{3728}{5445}\right)\)	\(e\left(\frac{487}{10890}\right)\)	\(e\left(\frac{6791}{10890}\right)\)	\(e\left(\frac{49}{1815}\right)\)	\(e\left(\frac{281}{726}\right)\)	\(e\left(\frac{9403}{10890}\right)\)	\(e\left(\frac{10519}{10890}\right)\)	\(e\left(\frac{2011}{5445}\right)\)	\(e\left(\frac{782}{1815}\right)\)
\(\chi_{35937}(31,\cdot)\)	35937.cq	5445	yes	\(1\)	\(1\)	\(e\left(\frac{4952}{5445}\right)\)	\(e\left(\frac{4459}{5445}\right)\)	\(e\left(\frac{2458}{5445}\right)\)	\(e\left(\frac{2489}{5445}\right)\)	\(e\left(\frac{1322}{1815}\right)\)	\(e\left(\frac{131}{363}\right)\)	\(e\left(\frac{3832}{5445}\right)\)	\(e\left(\frac{1996}{5445}\right)\)	\(e\left(\frac{3473}{5445}\right)\)	\(e\left(\frac{1096}{1815}\right)\)
\(\chi_{35937}(32,\cdot)\)	35937.cl	2178	yes	\(1\)	\(1\)	\(e\left(\frac{307}{1089}\right)\)	\(e\left(\frac{614}{1089}\right)\)	\(e\left(\frac{325}{2178}\right)\)	\(e\left(\frac{1625}{2178}\right)\)	\(e\left(\frac{307}{363}\right)\)	\(e\left(\frac{313}{726}\right)\)	\(e\left(\frac{403}{2178}\right)\)	\(e\left(\frac{61}{2178}\right)\)	\(e\left(\frac{139}{1089}\right)\)	\(e\left(\frac{299}{363}\right)\)
\(\chi_{35937}(34,\cdot)\)	35937.cf	1089	yes	\(1\)	\(1\)	\(e\left(\frac{23}{1089}\right)\)	\(e\left(\frac{46}{1089}\right)\)	\(e\left(\frac{844}{1089}\right)\)	\(e\left(\frac{953}{1089}\right)\)	\(e\left(\frac{23}{363}\right)\)	\(e\left(\frac{289}{363}\right)\)	\(e\left(\frac{1003}{1089}\right)\)	\(e\left(\frac{976}{1089}\right)\)	\(e\left(\frac{92}{1089}\right)\)	\(e\left(\frac{130}{363}\right)\)
\(\chi_{35937}(35,\cdot)\)	35937.co	3630	no	\(1\)	\(1\)	\(e\left(\frac{1414}{1815}\right)\)	\(e\left(\frac{1013}{1815}\right)\)	\(e\left(\frac{1867}{3630}\right)\)	\(e\left(\frac{2801}{3630}\right)\)	\(e\left(\frac{204}{605}\right)\)	\(e\left(\frac{71}{242}\right)\)	\(e\left(\frac{2983}{3630}\right)\)	\(e\left(\frac{1999}{3630}\right)\)	\(e\left(\frac{211}{1815}\right)\)	\(e\left(\frac{527}{605}\right)\)
\(\chi_{35937}(37,\cdot)\)	35937.cj	1815	no	\(1\)	\(1\)	\(e\left(\frac{503}{1815}\right)\)	\(e\left(\frac{1006}{1815}\right)\)	\(e\left(\frac{592}{1815}\right)\)	\(e\left(\frac{56}{1815}\right)\)	\(e\left(\frac{503}{605}\right)\)	\(e\left(\frac{73}{121}\right)\)	\(e\left(\frac{313}{1815}\right)\)	\(e\left(\frac{559}{1815}\right)\)	\(e\left(\frac{197}{1815}\right)\)	\(e\left(\frac{39}{605}\right)\)
\(\chi_{35937}(38,\cdot)\)	35937.cr	10890	yes	\(-1\)	\(1\)	\(e\left(\frac{6641}{10890}\right)\)	\(e\left(\frac{1196}{5445}\right)\)	\(e\left(\frac{10129}{10890}\right)\)	\(e\left(\frac{5176}{5445}\right)\)	\(e\left(\frac{3011}{3630}\right)\)	\(e\left(\frac{196}{363}\right)\)	\(e\left(\frac{4298}{5445}\right)\)	\(e\left(\frac{6103}{10890}\right)\)	\(e\left(\frac{2392}{5445}\right)\)	\(e\left(\frac{3493}{3630}\right)\)
\(\chi_{35937}(40,\cdot)\)	35937.cd	990	no	\(-1\)	\(1\)	\(e\left(\frac{593}{990}\right)\)	\(e\left(\frac{98}{495}\right)\)	\(e\left(\frac{326}{495}\right)\)	\(e\left(\frac{191}{990}\right)\)	\(e\left(\frac{263}{330}\right)\)	\(e\left(\frac{17}{66}\right)\)	\(e\left(\frac{163}{990}\right)\)	\(e\left(\frac{392}{495}\right)\)	\(e\left(\frac{196}{495}\right)\)	\(e\left(\frac{79}{330}\right)\)
\(\chi_{35937}(41,\cdot)\)	35937.cs	10890	yes	\(1\)	\(1\)	\(e\left(\frac{1781}{5445}\right)\)	\(e\left(\frac{3562}{5445}\right)\)	\(e\left(\frac{1403}{10890}\right)\)	\(e\left(\frac{2659}{10890}\right)\)	\(e\left(\frac{1781}{1815}\right)\)	\(e\left(\frac{331}{726}\right)\)	\(e\left(\frac{1217}{10890}\right)\)	\(e\left(\frac{6221}{10890}\right)\)	\(e\left(\frac{1679}{5445}\right)\)	\(e\left(\frac{13}{1815}\right)\)
\(\chi_{35937}(43,\cdot)\)	35937.ck	2178	yes	\(-1\)	\(1\)	\(e\left(\frac{925}{2178}\right)\)	\(e\left(\frac{925}{1089}\right)\)	\(e\left(\frac{400}{1089}\right)\)	\(e\left(\frac{733}{2178}\right)\)	\(e\left(\frac{199}{726}\right)\)	\(e\left(\frac{575}{726}\right)\)	\(e\left(\frac{2081}{2178}\right)\)	\(e\left(\frac{829}{1089}\right)\)	\(e\left(\frac{761}{1089}\right)\)	\(e\left(\frac{383}{726}\right)\)
\(\chi_{35937}(46,\cdot)\)	35937.cp	3630	no	\(-1\)	\(1\)	\(e\left(\frac{3293}{3630}\right)\)	\(e\left(\frac{1478}{1815}\right)\)	\(e\left(\frac{1061}{1815}\right)\)	\(e\left(\frac{2261}{3630}\right)\)	\(e\left(\frac{873}{1210}\right)\)	\(e\left(\frac{119}{242}\right)\)	\(e\left(\frac{613}{3630}\right)\)	\(e\left(\frac{962}{1815}\right)\)	\(e\left(\frac{1141}{1815}\right)\)	\(e\left(\frac{289}{1210}\right)\)
\(\chi_{35937}(47,\cdot)\)	35937.cr	10890	yes	\(-1\)	\(1\)	\(e\left(\frac{1157}{10890}\right)\)	\(e\left(\frac{1157}{5445}\right)\)	\(e\left(\frac{10213}{10890}\right)\)	\(e\left(\frac{4297}{5445}\right)\)	\(e\left(\frac{1157}{3630}\right)\)	\(e\left(\frac{16}{363}\right)\)	\(e\left(\frac{3566}{5445}\right)\)	\(e\left(\frac{9751}{10890}\right)\)	\(e\left(\frac{2314}{5445}\right)\)	\(e\left(\frac{3241}{3630}\right)\)
\(\chi_{35937}(49,\cdot)\)	35937.cq	5445	yes	\(1\)	\(1\)	\(e\left(\frac{3803}{5445}\right)\)	\(e\left(\frac{2161}{5445}\right)\)	\(e\left(\frac{1582}{5445}\right)\)	\(e\left(\frac{1376}{5445}\right)\)	\(e\left(\frac{173}{1815}\right)\)	\(e\left(\frac{359}{363}\right)\)	\(e\left(\frac{5098}{5445}\right)\)	\(e\left(\frac{5179}{5445}\right)\)	\(e\left(\frac{4322}{5445}\right)\)	\(e\left(\frac{94}{1815}\right)\)
\(\chi_{35937}(50,\cdot)\)	35937.cs	10890	yes	\(1\)	\(1\)	\(e\left(\frac{4988}{5445}\right)\)	\(e\left(\frac{4531}{5445}\right)\)	\(e\left(\frac{1829}{10890}\right)\)	\(e\left(\frac{6967}{10890}\right)\)	\(e\left(\frac{1358}{1815}\right)\)	\(e\left(\frac{61}{726}\right)\)	\(e\left(\frac{1571}{10890}\right)\)	\(e\left(\frac{6053}{10890}\right)\)	\(e\left(\frac{3617}{5445}\right)\)	\(e\left(\frac{1189}{1815}\right)\)
\(\chi_{35937}(52,\cdot)\)	35937.ct	10890	yes	\(-1\)	\(1\)	\(e\left(\frac{5987}{10890}\right)\)	\(e\left(\frac{542}{5445}\right)\)	\(e\left(\frac{3884}{5445}\right)\)	\(e\left(\frac{7259}{10890}\right)\)	\(e\left(\frac{2357}{3630}\right)\)	\(e\left(\frac{191}{726}\right)\)	\(e\left(\frac{5407}{10890}\right)\)	\(e\left(\frac{1178}{5445}\right)\)	\(e\left(\frac{1084}{5445}\right)\)	\(e\left(\frac{1501}{3630}\right)\)

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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.