LMFDB - Group of Dirichlet characters of modulus 10055

Show commands: PariGP / SageMath

sage: H = DirichletGroup(10055)

pari: g = idealstar(,10055,2)

Character group

sage: G.order() pari: g.no
Order	=	8040
sage: H.invariants() pari: g.cyc
Structure	=	$C_{2}\times C_{4020}$
sage: H.gens() pari: g.gen
Generators	=	$\chi_{10055}(2012,\cdot)$, $\chi_{10055}(6036,\cdot)$

First 32 of 8040 characters

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

Character	Orbit	Order	Primitive	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$11$	$12$	$13$
$\chi_{10055}(1,\cdot)$	10055.a	1	no	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
$\chi_{10055}(2,\cdot)$	10055.bm	804	yes	$1$	$1$	$e\left(\frac{91}{804}\right)$	$e\left(\frac{701}{804}\right)$	$e\left(\frac{91}{402}\right)$	$e\left(\frac{66}{67}\right)$	$e\left(\frac{407}{804}\right)$	$e\left(\frac{91}{268}\right)$	$e\left(\frac{299}{402}\right)$	$e\left(\frac{161}{402}\right)$	$e\left(\frac{79}{804}\right)$	$e\left(\frac{261}{268}\right)$
$\chi_{10055}(3,\cdot)$	10055.bv	4020	yes	$1$	$1$	$e\left(\frac{701}{804}\right)$	$e\left(\frac{1007}{4020}\right)$	$e\left(\frac{299}{402}\right)$	$e\left(\frac{41}{335}\right)$	$e\left(\frac{2609}{4020}\right)$	$e\left(\frac{165}{268}\right)$	$e\left(\frac{1007}{2010}\right)$	$e\left(\frac{1037}{2010}\right)$	$e\left(\frac{3997}{4020}\right)$	$e\left(\frac{287}{1340}\right)$
$\chi_{10055}(4,\cdot)$	10055.bh	402	yes	$1$	$1$	$e\left(\frac{91}{402}\right)$	$e\left(\frac{299}{402}\right)$	$e\left(\frac{91}{201}\right)$	$e\left(\frac{65}{67}\right)$	$e\left(\frac{5}{402}\right)$	$e\left(\frac{91}{134}\right)$	$e\left(\frac{98}{201}\right)$	$e\left(\frac{161}{201}\right)$	$e\left(\frac{79}{402}\right)$	$e\left(\frac{127}{134}\right)$
$\chi_{10055}(6,\cdot)$	10055.bf	335	no	$1$	$1$	$e\left(\frac{66}{67}\right)$	$e\left(\frac{41}{335}\right)$	$e\left(\frac{65}{67}\right)$	$e\left(\frac{36}{335}\right)$	$e\left(\frac{52}{335}\right)$	$e\left(\frac{64}{67}\right)$	$e\left(\frac{82}{335}\right)$	$e\left(\frac{307}{335}\right)$	$e\left(\frac{31}{335}\right)$	$e\left(\frac{63}{335}\right)$
$\chi_{10055}(7,\cdot)$	10055.bv	4020	yes	$1$	$1$	$e\left(\frac{407}{804}\right)$	$e\left(\frac{2609}{4020}\right)$	$e\left(\frac{5}{402}\right)$	$e\left(\frac{52}{335}\right)$	$e\left(\frac{3023}{4020}\right)$	$e\left(\frac{139}{268}\right)$	$e\left(\frac{599}{2010}\right)$	$e\left(\frac{539}{2010}\right)$	$e\left(\frac{2659}{4020}\right)$	$e\left(\frac{29}{1340}\right)$
$\chi_{10055}(8,\cdot)$	10055.be	268	yes	$1$	$1$	$e\left(\frac{91}{268}\right)$	$e\left(\frac{165}{268}\right)$	$e\left(\frac{91}{134}\right)$	$e\left(\frac{64}{67}\right)$	$e\left(\frac{139}{268}\right)$	$e\left(\frac{5}{268}\right)$	$e\left(\frac{31}{134}\right)$	$e\left(\frac{27}{134}\right)$	$e\left(\frac{79}{268}\right)$	$e\left(\frac{247}{268}\right)$
$\chi_{10055}(9,\cdot)$	10055.br	2010	yes	$1$	$1$	$e\left(\frac{299}{402}\right)$	$e\left(\frac{1007}{2010}\right)$	$e\left(\frac{98}{201}\right)$	$e\left(\frac{82}{335}\right)$	$e\left(\frac{599}{2010}\right)$	$e\left(\frac{31}{134}\right)$	$e\left(\frac{2}{1005}\right)$	$e\left(\frac{32}{1005}\right)$	$e\left(\frac{1987}{2010}\right)$	$e\left(\frac{287}{670}\right)$
$\chi_{10055}(11,\cdot)$	10055.bs	2010	no	$-1$	$1$	$e\left(\frac{161}{402}\right)$	$e\left(\frac{1037}{2010}\right)$	$e\left(\frac{161}{201}\right)$	$e\left(\frac{307}{335}\right)$	$e\left(\frac{539}{2010}\right)$	$e\left(\frac{27}{134}\right)$	$e\left(\frac{32}{1005}\right)$	$e\left(\frac{19}{2010}\right)$	$e\left(\frac{637}{2010}\right)$	$e\left(\frac{286}{335}\right)$
$\chi_{10055}(12,\cdot)$	10055.bv	4020	yes	$1$	$1$	$e\left(\frac{79}{804}\right)$	$e\left(\frac{3997}{4020}\right)$	$e\left(\frac{79}{402}\right)$	$e\left(\frac{31}{335}\right)$	$e\left(\frac{2659}{4020}\right)$	$e\left(\frac{79}{268}\right)$	$e\left(\frac{1987}{2010}\right)$	$e\left(\frac{637}{2010}\right)$	$e\left(\frac{767}{4020}\right)$	$e\left(\frac{217}{1340}\right)$
$\chi_{10055}(13,\cdot)$	10055.bq	1340	yes	$-1$	$1$	$e\left(\frac{261}{268}\right)$	$e\left(\frac{287}{1340}\right)$	$e\left(\frac{127}{134}\right)$	$e\left(\frac{63}{335}\right)$	$e\left(\frac{29}{1340}\right)$	$e\left(\frac{247}{268}\right)$	$e\left(\frac{287}{670}\right)$	$e\left(\frac{286}{335}\right)$	$e\left(\frac{217}{1340}\right)$	$e\left(\frac{1111}{1340}\right)$
$\chi_{10055}(14,\cdot)$	10055.bl	670	yes	$1$	$1$	$e\left(\frac{83}{134}\right)$	$e\left(\frac{349}{670}\right)$	$e\left(\frac{16}{67}\right)$	$e\left(\frac{47}{335}\right)$	$e\left(\frac{173}{670}\right)$	$e\left(\frac{115}{134}\right)$	$e\left(\frac{14}{335}\right)$	$e\left(\frac{224}{335}\right)$	$e\left(\frac{509}{670}\right)$	$e\left(\frac{667}{670}\right)$
$\chi_{10055}(16,\cdot)$	10055.bc	201	no	$1$	$1$	$e\left(\frac{91}{201}\right)$	$e\left(\frac{98}{201}\right)$	$e\left(\frac{182}{201}\right)$	$e\left(\frac{63}{67}\right)$	$e\left(\frac{5}{201}\right)$	$e\left(\frac{24}{67}\right)$	$e\left(\frac{196}{201}\right)$	$e\left(\frac{121}{201}\right)$	$e\left(\frac{79}{201}\right)$	$e\left(\frac{60}{67}\right)$
$\chi_{10055}(17,\cdot)$	10055.bv	4020	yes	$1$	$1$	$e\left(\frac{439}{804}\right)$	$e\left(\frac{3709}{4020}\right)$	$e\left(\frac{37}{402}\right)$	$e\left(\frac{157}{335}\right)$	$e\left(\frac{823}{4020}\right)$	$e\left(\frac{171}{268}\right)$	$e\left(\frac{1699}{2010}\right)$	$e\left(\frac{49}{2010}\right)$	$e\left(\frac{59}{4020}\right)$	$e\left(\frac{429}{1340}\right)$
$\chi_{10055}(18,\cdot)$	10055.bv	4020	yes	$1$	$1$	$e\left(\frac{689}{804}\right)$	$e\left(\frac{1499}{4020}\right)$	$e\left(\frac{287}{402}\right)$	$e\left(\frac{77}{335}\right)$	$e\left(\frac{3233}{4020}\right)$	$e\left(\frac{153}{268}\right)$	$e\left(\frac{1499}{2010}\right)$	$e\left(\frac{869}{2010}\right)$	$e\left(\frac{349}{4020}\right)$	$e\left(\frac{539}{1340}\right)$
$\chi_{10055}(19,\cdot)$	10055.bt	2010	yes	$-1$	$1$	$e\left(\frac{52}{201}\right)$	$e\left(\frac{79}{1005}\right)$	$e\left(\frac{104}{201}\right)$	$e\left(\frac{113}{335}\right)$	$e\left(\frac{43}{1005}\right)$	$e\left(\frac{52}{67}\right)$	$e\left(\frac{158}{1005}\right)$	$e\left(\frac{31}{2010}\right)$	$e\left(\frac{599}{1005}\right)$	$e\left(\frac{563}{670}\right)$
$\chi_{10055}(21,\cdot)$	10055.bo	1005	no	$1$	$1$	$e\left(\frac{76}{201}\right)$	$e\left(\frac{904}{1005}\right)$	$e\left(\frac{152}{201}\right)$	$e\left(\frac{93}{335}\right)$	$e\left(\frac{403}{1005}\right)$	$e\left(\frac{9}{67}\right)$	$e\left(\frac{803}{1005}\right)$	$e\left(\frac{788}{1005}\right)$	$e\left(\frac{659}{1005}\right)$	$e\left(\frac{79}{335}\right)$
$\chi_{10055}(22,\cdot)$	10055.bu	4020	yes	$-1$	$1$	$e\left(\frac{413}{804}\right)$	$e\left(\frac{1559}{4020}\right)$	$e\left(\frac{11}{402}\right)$	$e\left(\frac{302}{335}\right)$	$e\left(\frac{3113}{4020}\right)$	$e\left(\frac{145}{268}\right)$	$e\left(\frac{1559}{2010}\right)$	$e\left(\frac{412}{1005}\right)$	$e\left(\frac{1669}{4020}\right)$	$e\left(\frac{1109}{1340}\right)$
$\chi_{10055}(23,\cdot)$	10055.bu	4020	yes	$-1$	$1$	$e\left(\frac{791}{804}\right)$	$e\left(\frac{1337}{4020}\right)$	$e\left(\frac{389}{402}\right)$	$e\left(\frac{106}{335}\right)$	$e\left(\frac{3959}{4020}\right)$	$e\left(\frac{255}{268}\right)$	$e\left(\frac{1337}{2010}\right)$	$e\left(\frac{646}{1005}\right)$	$e\left(\frac{1207}{4020}\right)$	$e\left(\frac{407}{1340}\right)$
$\chi_{10055}(24,\cdot)$	10055.br	2010	yes	$1$	$1$	$e\left(\frac{85}{402}\right)$	$e\left(\frac{1741}{2010}\right)$	$e\left(\frac{85}{201}\right)$	$e\left(\frac{26}{335}\right)$	$e\left(\frac{337}{2010}\right)$	$e\left(\frac{85}{134}\right)$	$e\left(\frac{736}{1005}\right)$	$e\left(\frac{721}{1005}\right)$	$e\left(\frac{581}{2010}\right)$	$e\left(\frac{91}{670}\right)$
$\chi_{10055}(26,\cdot)$	10055.bs	2010	no	$-1$	$1$	$e\left(\frac{35}{402}\right)$	$e\left(\frac{173}{2010}\right)$	$e\left(\frac{35}{201}\right)$	$e\left(\frac{58}{335}\right)$	$e\left(\frac{1061}{2010}\right)$	$e\left(\frac{35}{134}\right)$	$e\left(\frac{173}{1005}\right)$	$e\left(\frac{511}{2010}\right)$	$e\left(\frac{523}{2010}\right)$	$e\left(\frac{269}{335}\right)$
$\chi_{10055}(27,\cdot)$	10055.bp	1340	yes	$1$	$1$	$e\left(\frac{165}{268}\right)$	$e\left(\frac{1007}{1340}\right)$	$e\left(\frac{31}{134}\right)$	$e\left(\frac{123}{335}\right)$	$e\left(\frac{1269}{1340}\right)$	$e\left(\frac{227}{268}\right)$	$e\left(\frac{337}{670}\right)$	$e\left(\frac{367}{670}\right)$	$e\left(\frac{1317}{1340}\right)$	$e\left(\frac{861}{1340}\right)$
$\chi_{10055}(28,\cdot)$	10055.bv	4020	yes	$1$	$1$	$e\left(\frac{589}{804}\right)$	$e\left(\frac{1579}{4020}\right)$	$e\left(\frac{187}{402}\right)$	$e\left(\frac{42}{335}\right)$	$e\left(\frac{3073}{4020}\right)$	$e\left(\frac{53}{268}\right)$	$e\left(\frac{1579}{2010}\right)$	$e\left(\frac{139}{2010}\right)$	$e\left(\frac{3449}{4020}\right)$	$e\left(\frac{1299}{1340}\right)$
$\chi_{10055}(29,\cdot)$	10055.bt	2010	yes	$-1$	$1$	$e\left(\frac{65}{201}\right)$	$e\left(\frac{551}{1005}\right)$	$e\left(\frac{130}{201}\right)$	$e\left(\frac{292}{335}\right)$	$e\left(\frac{707}{1005}\right)$	$e\left(\frac{65}{67}\right)$	$e\left(\frac{97}{1005}\right)$	$e\left(\frac{89}{2010}\right)$	$e\left(\frac{196}{1005}\right)$	$e\left(\frac{17}{670}\right)$
$\chi_{10055}(31,\cdot)$	10055.bf	335	no	$1$	$1$	$e\left(\frac{46}{67}\right)$	$e\left(\frac{258}{335}\right)$	$e\left(\frac{25}{67}\right)$	$e\left(\frac{153}{335}\right)$	$e\left(\frac{221}{335}\right)$	$e\left(\frac{4}{67}\right)$	$e\left(\frac{181}{335}\right)$	$e\left(\frac{216}{335}\right)$	$e\left(\frac{48}{335}\right)$	$e\left(\frac{184}{335}\right)$
$\chi_{10055}(32,\cdot)$	10055.bm	804	yes	$1$	$1$	$e\left(\frac{455}{804}\right)$	$e\left(\frac{289}{804}\right)$	$e\left(\frac{53}{402}\right)$	$e\left(\frac{62}{67}\right)$	$e\left(\frac{427}{804}\right)$	$e\left(\frac{187}{268}\right)$	$e\left(\frac{289}{402}\right)$	$e\left(\frac{1}{402}\right)$	$e\left(\frac{395}{804}\right)$	$e\left(\frac{233}{268}\right)$
$\chi_{10055}(33,\cdot)$	10055.bq	1340	yes	$-1$	$1$	$e\left(\frac{73}{268}\right)$	$e\left(\frac{1027}{1340}\right)$	$e\left(\frac{73}{134}\right)$	$e\left(\frac{13}{335}\right)$	$e\left(\frac{1229}{1340}\right)$	$e\left(\frac{219}{268}\right)$	$e\left(\frac{357}{670}\right)$	$e\left(\frac{176}{335}\right)$	$e\left(\frac{417}{1340}\right)$	$e\left(\frac{91}{1340}\right)$
$\chi_{10055}(34,\cdot)$	10055.br	2010	yes	$1$	$1$	$e\left(\frac{265}{402}\right)$	$e\left(\frac{1597}{2010}\right)$	$e\left(\frac{64}{201}\right)$	$e\left(\frac{152}{335}\right)$	$e\left(\frac{1429}{2010}\right)$	$e\left(\frac{131}{134}\right)$	$e\left(\frac{592}{1005}\right)$	$e\left(\frac{427}{1005}\right)$	$e\left(\frac{227}{2010}\right)$	$e\left(\frac{197}{670}\right)$
$\chi_{10055}(36,\cdot)$	10055.bf	335	no	$1$	$1$	$e\left(\frac{65}{67}\right)$	$e\left(\frac{82}{335}\right)$	$e\left(\frac{63}{67}\right)$	$e\left(\frac{72}{335}\right)$	$e\left(\frac{104}{335}\right)$	$e\left(\frac{61}{67}\right)$	$e\left(\frac{164}{335}\right)$	$e\left(\frac{279}{335}\right)$	$e\left(\frac{62}{335}\right)$	$e\left(\frac{126}{335}\right)$
$\chi_{10055}(37,\cdot)$	10055.bm	804	yes	$1$	$1$	$e\left(\frac{599}{804}\right)$	$e\left(\frac{73}{804}\right)$	$e\left(\frac{197}{402}\right)$	$e\left(\frac{56}{67}\right)$	$e\left(\frac{55}{804}\right)$	$e\left(\frac{63}{268}\right)$	$e\left(\frac{73}{402}\right)$	$e\left(\frac{163}{402}\right)$	$e\left(\frac{467}{804}\right)$	$e\left(\frac{57}{268}\right)$
$\chi_{10055}(38,\cdot)$	10055.bu	4020	yes	$-1$	$1$	$e\left(\frac{299}{804}\right)$	$e\left(\frac{3821}{4020}\right)$	$e\left(\frac{299}{402}\right)$	$e\left(\frac{108}{335}\right)$	$e\left(\frac{2207}{4020}\right)$	$e\left(\frac{31}{268}\right)$	$e\left(\frac{1811}{2010}\right)$	$e\left(\frac{418}{1005}\right)$	$e\left(\frac{2791}{4020}\right)$	$e\left(\frac{1091}{1340}\right)$
$\chi_{10055}(39,\cdot)$	10055.bt	2010	yes	$-1$	$1$	$e\left(\frac{170}{201}\right)$	$e\left(\frac{467}{1005}\right)$	$e\left(\frac{139}{201}\right)$	$e\left(\frac{104}{335}\right)$	$e\left(\frac{674}{1005}\right)$	$e\left(\frac{36}{67}\right)$	$e\left(\frac{934}{1005}\right)$	$e\left(\frac{743}{2010}\right)$	$e\left(\frac{157}{1005}\right)$	$e\left(\frac{29}{670}\right)$

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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	$10055$
Structure	\(C_{2}\times C_{4020}\)
Order	$8040$

Character	Orbit	Order	Primitive	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)
\(\chi_{10055}(1,\cdot)\)	10055.a	1	no	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)	\(1\)
\(\chi_{10055}(2,\cdot)\)	10055.bm	804	yes	\(1\)	\(1\)	\(e\left(\frac{91}{804}\right)\)	\(e\left(\frac{701}{804}\right)\)	\(e\left(\frac{91}{402}\right)\)	\(e\left(\frac{66}{67}\right)\)	\(e\left(\frac{407}{804}\right)\)	\(e\left(\frac{91}{268}\right)\)	\(e\left(\frac{299}{402}\right)\)	\(e\left(\frac{161}{402}\right)\)	\(e\left(\frac{79}{804}\right)\)	\(e\left(\frac{261}{268}\right)\)
\(\chi_{10055}(3,\cdot)\)	10055.bv	4020	yes	\(1\)	\(1\)	\(e\left(\frac{701}{804}\right)\)	\(e\left(\frac{1007}{4020}\right)\)	\(e\left(\frac{299}{402}\right)\)	\(e\left(\frac{41}{335}\right)\)	\(e\left(\frac{2609}{4020}\right)\)	\(e\left(\frac{165}{268}\right)\)	\(e\left(\frac{1007}{2010}\right)\)	\(e\left(\frac{1037}{2010}\right)\)	\(e\left(\frac{3997}{4020}\right)\)	\(e\left(\frac{287}{1340}\right)\)
\(\chi_{10055}(4,\cdot)\)	10055.bh	402	yes	\(1\)	\(1\)	\(e\left(\frac{91}{402}\right)\)	\(e\left(\frac{299}{402}\right)\)	\(e\left(\frac{91}{201}\right)\)	\(e\left(\frac{65}{67}\right)\)	\(e\left(\frac{5}{402}\right)\)	\(e\left(\frac{91}{134}\right)\)	\(e\left(\frac{98}{201}\right)\)	\(e\left(\frac{161}{201}\right)\)	\(e\left(\frac{79}{402}\right)\)	\(e\left(\frac{127}{134}\right)\)
\(\chi_{10055}(6,\cdot)\)	10055.bf	335	no	\(1\)	\(1\)	\(e\left(\frac{66}{67}\right)\)	\(e\left(\frac{41}{335}\right)\)	\(e\left(\frac{65}{67}\right)\)	\(e\left(\frac{36}{335}\right)\)	\(e\left(\frac{52}{335}\right)\)	\(e\left(\frac{64}{67}\right)\)	\(e\left(\frac{82}{335}\right)\)	\(e\left(\frac{307}{335}\right)\)	\(e\left(\frac{31}{335}\right)\)	\(e\left(\frac{63}{335}\right)\)
\(\chi_{10055}(7,\cdot)\)	10055.bv	4020	yes	\(1\)	\(1\)	\(e\left(\frac{407}{804}\right)\)	\(e\left(\frac{2609}{4020}\right)\)	\(e\left(\frac{5}{402}\right)\)	\(e\left(\frac{52}{335}\right)\)	\(e\left(\frac{3023}{4020}\right)\)	\(e\left(\frac{139}{268}\right)\)	\(e\left(\frac{599}{2010}\right)\)	\(e\left(\frac{539}{2010}\right)\)	\(e\left(\frac{2659}{4020}\right)\)	\(e\left(\frac{29}{1340}\right)\)
\(\chi_{10055}(8,\cdot)\)	10055.be	268	yes	\(1\)	\(1\)	\(e\left(\frac{91}{268}\right)\)	\(e\left(\frac{165}{268}\right)\)	\(e\left(\frac{91}{134}\right)\)	\(e\left(\frac{64}{67}\right)\)	\(e\left(\frac{139}{268}\right)\)	\(e\left(\frac{5}{268}\right)\)	\(e\left(\frac{31}{134}\right)\)	\(e\left(\frac{27}{134}\right)\)	\(e\left(\frac{79}{268}\right)\)	\(e\left(\frac{247}{268}\right)\)
\(\chi_{10055}(9,\cdot)\)	10055.br	2010	yes	\(1\)	\(1\)	\(e\left(\frac{299}{402}\right)\)	\(e\left(\frac{1007}{2010}\right)\)	\(e\left(\frac{98}{201}\right)\)	\(e\left(\frac{82}{335}\right)\)	\(e\left(\frac{599}{2010}\right)\)	\(e\left(\frac{31}{134}\right)\)	\(e\left(\frac{2}{1005}\right)\)	\(e\left(\frac{32}{1005}\right)\)	\(e\left(\frac{1987}{2010}\right)\)	\(e\left(\frac{287}{670}\right)\)
\(\chi_{10055}(11,\cdot)\)	10055.bs	2010	no	\(-1\)	\(1\)	\(e\left(\frac{161}{402}\right)\)	\(e\left(\frac{1037}{2010}\right)\)	\(e\left(\frac{161}{201}\right)\)	\(e\left(\frac{307}{335}\right)\)	\(e\left(\frac{539}{2010}\right)\)	\(e\left(\frac{27}{134}\right)\)	\(e\left(\frac{32}{1005}\right)\)	\(e\left(\frac{19}{2010}\right)\)	\(e\left(\frac{637}{2010}\right)\)	\(e\left(\frac{286}{335}\right)\)
\(\chi_{10055}(12,\cdot)\)	10055.bv	4020	yes	\(1\)	\(1\)	\(e\left(\frac{79}{804}\right)\)	\(e\left(\frac{3997}{4020}\right)\)	\(e\left(\frac{79}{402}\right)\)	\(e\left(\frac{31}{335}\right)\)	\(e\left(\frac{2659}{4020}\right)\)	\(e\left(\frac{79}{268}\right)\)	\(e\left(\frac{1987}{2010}\right)\)	\(e\left(\frac{637}{2010}\right)\)	\(e\left(\frac{767}{4020}\right)\)	\(e\left(\frac{217}{1340}\right)\)
\(\chi_{10055}(13,\cdot)\)	10055.bq	1340	yes	\(-1\)	\(1\)	\(e\left(\frac{261}{268}\right)\)	\(e\left(\frac{287}{1340}\right)\)	\(e\left(\frac{127}{134}\right)\)	\(e\left(\frac{63}{335}\right)\)	\(e\left(\frac{29}{1340}\right)\)	\(e\left(\frac{247}{268}\right)\)	\(e\left(\frac{287}{670}\right)\)	\(e\left(\frac{286}{335}\right)\)	\(e\left(\frac{217}{1340}\right)\)	\(e\left(\frac{1111}{1340}\right)\)
\(\chi_{10055}(14,\cdot)\)	10055.bl	670	yes	\(1\)	\(1\)	\(e\left(\frac{83}{134}\right)\)	\(e\left(\frac{349}{670}\right)\)	\(e\left(\frac{16}{67}\right)\)	\(e\left(\frac{47}{335}\right)\)	\(e\left(\frac{173}{670}\right)\)	\(e\left(\frac{115}{134}\right)\)	\(e\left(\frac{14}{335}\right)\)	\(e\left(\frac{224}{335}\right)\)	\(e\left(\frac{509}{670}\right)\)	\(e\left(\frac{667}{670}\right)\)
\(\chi_{10055}(16,\cdot)\)	10055.bc	201	no	\(1\)	\(1\)	\(e\left(\frac{91}{201}\right)\)	\(e\left(\frac{98}{201}\right)\)	\(e\left(\frac{182}{201}\right)\)	\(e\left(\frac{63}{67}\right)\)	\(e\left(\frac{5}{201}\right)\)	\(e\left(\frac{24}{67}\right)\)	\(e\left(\frac{196}{201}\right)\)	\(e\left(\frac{121}{201}\right)\)	\(e\left(\frac{79}{201}\right)\)	\(e\left(\frac{60}{67}\right)\)
\(\chi_{10055}(17,\cdot)\)	10055.bv	4020	yes	\(1\)	\(1\)	\(e\left(\frac{439}{804}\right)\)	\(e\left(\frac{3709}{4020}\right)\)	\(e\left(\frac{37}{402}\right)\)	\(e\left(\frac{157}{335}\right)\)	\(e\left(\frac{823}{4020}\right)\)	\(e\left(\frac{171}{268}\right)\)	\(e\left(\frac{1699}{2010}\right)\)	\(e\left(\frac{49}{2010}\right)\)	\(e\left(\frac{59}{4020}\right)\)	\(e\left(\frac{429}{1340}\right)\)
\(\chi_{10055}(18,\cdot)\)	10055.bv	4020	yes	\(1\)	\(1\)	\(e\left(\frac{689}{804}\right)\)	\(e\left(\frac{1499}{4020}\right)\)	\(e\left(\frac{287}{402}\right)\)	\(e\left(\frac{77}{335}\right)\)	\(e\left(\frac{3233}{4020}\right)\)	\(e\left(\frac{153}{268}\right)\)	\(e\left(\frac{1499}{2010}\right)\)	\(e\left(\frac{869}{2010}\right)\)	\(e\left(\frac{349}{4020}\right)\)	\(e\left(\frac{539}{1340}\right)\)
\(\chi_{10055}(19,\cdot)\)	10055.bt	2010	yes	\(-1\)	\(1\)	\(e\left(\frac{52}{201}\right)\)	\(e\left(\frac{79}{1005}\right)\)	\(e\left(\frac{104}{201}\right)\)	\(e\left(\frac{113}{335}\right)\)	\(e\left(\frac{43}{1005}\right)\)	\(e\left(\frac{52}{67}\right)\)	\(e\left(\frac{158}{1005}\right)\)	\(e\left(\frac{31}{2010}\right)\)	\(e\left(\frac{599}{1005}\right)\)	\(e\left(\frac{563}{670}\right)\)
\(\chi_{10055}(21,\cdot)\)	10055.bo	1005	no	\(1\)	\(1\)	\(e\left(\frac{76}{201}\right)\)	\(e\left(\frac{904}{1005}\right)\)	\(e\left(\frac{152}{201}\right)\)	\(e\left(\frac{93}{335}\right)\)	\(e\left(\frac{403}{1005}\right)\)	\(e\left(\frac{9}{67}\right)\)	\(e\left(\frac{803}{1005}\right)\)	\(e\left(\frac{788}{1005}\right)\)	\(e\left(\frac{659}{1005}\right)\)	\(e\left(\frac{79}{335}\right)\)
\(\chi_{10055}(22,\cdot)\)	10055.bu	4020	yes	\(-1\)	\(1\)	\(e\left(\frac{413}{804}\right)\)	\(e\left(\frac{1559}{4020}\right)\)	\(e\left(\frac{11}{402}\right)\)	\(e\left(\frac{302}{335}\right)\)	\(e\left(\frac{3113}{4020}\right)\)	\(e\left(\frac{145}{268}\right)\)	\(e\left(\frac{1559}{2010}\right)\)	\(e\left(\frac{412}{1005}\right)\)	\(e\left(\frac{1669}{4020}\right)\)	\(e\left(\frac{1109}{1340}\right)\)
\(\chi_{10055}(23,\cdot)\)	10055.bu	4020	yes	\(-1\)	\(1\)	\(e\left(\frac{791}{804}\right)\)	\(e\left(\frac{1337}{4020}\right)\)	\(e\left(\frac{389}{402}\right)\)	\(e\left(\frac{106}{335}\right)\)	\(e\left(\frac{3959}{4020}\right)\)	\(e\left(\frac{255}{268}\right)\)	\(e\left(\frac{1337}{2010}\right)\)	\(e\left(\frac{646}{1005}\right)\)	\(e\left(\frac{1207}{4020}\right)\)	\(e\left(\frac{407}{1340}\right)\)
\(\chi_{10055}(24,\cdot)\)	10055.br	2010	yes	\(1\)	\(1\)	\(e\left(\frac{85}{402}\right)\)	\(e\left(\frac{1741}{2010}\right)\)	\(e\left(\frac{85}{201}\right)\)	\(e\left(\frac{26}{335}\right)\)	\(e\left(\frac{337}{2010}\right)\)	\(e\left(\frac{85}{134}\right)\)	\(e\left(\frac{736}{1005}\right)\)	\(e\left(\frac{721}{1005}\right)\)	\(e\left(\frac{581}{2010}\right)\)	\(e\left(\frac{91}{670}\right)\)
\(\chi_{10055}(26,\cdot)\)	10055.bs	2010	no	\(-1\)	\(1\)	\(e\left(\frac{35}{402}\right)\)	\(e\left(\frac{173}{2010}\right)\)	\(e\left(\frac{35}{201}\right)\)	\(e\left(\frac{58}{335}\right)\)	\(e\left(\frac{1061}{2010}\right)\)	\(e\left(\frac{35}{134}\right)\)	\(e\left(\frac{173}{1005}\right)\)	\(e\left(\frac{511}{2010}\right)\)	\(e\left(\frac{523}{2010}\right)\)	\(e\left(\frac{269}{335}\right)\)
\(\chi_{10055}(27,\cdot)\)	10055.bp	1340	yes	\(1\)	\(1\)	\(e\left(\frac{165}{268}\right)\)	\(e\left(\frac{1007}{1340}\right)\)	\(e\left(\frac{31}{134}\right)\)	\(e\left(\frac{123}{335}\right)\)	\(e\left(\frac{1269}{1340}\right)\)	\(e\left(\frac{227}{268}\right)\)	\(e\left(\frac{337}{670}\right)\)	\(e\left(\frac{367}{670}\right)\)	\(e\left(\frac{1317}{1340}\right)\)	\(e\left(\frac{861}{1340}\right)\)
\(\chi_{10055}(28,\cdot)\)	10055.bv	4020	yes	\(1\)	\(1\)	\(e\left(\frac{589}{804}\right)\)	\(e\left(\frac{1579}{4020}\right)\)	\(e\left(\frac{187}{402}\right)\)	\(e\left(\frac{42}{335}\right)\)	\(e\left(\frac{3073}{4020}\right)\)	\(e\left(\frac{53}{268}\right)\)	\(e\left(\frac{1579}{2010}\right)\)	\(e\left(\frac{139}{2010}\right)\)	\(e\left(\frac{3449}{4020}\right)\)	\(e\left(\frac{1299}{1340}\right)\)
\(\chi_{10055}(29,\cdot)\)	10055.bt	2010	yes	\(-1\)	\(1\)	\(e\left(\frac{65}{201}\right)\)	\(e\left(\frac{551}{1005}\right)\)	\(e\left(\frac{130}{201}\right)\)	\(e\left(\frac{292}{335}\right)\)	\(e\left(\frac{707}{1005}\right)\)	\(e\left(\frac{65}{67}\right)\)	\(e\left(\frac{97}{1005}\right)\)	\(e\left(\frac{89}{2010}\right)\)	\(e\left(\frac{196}{1005}\right)\)	\(e\left(\frac{17}{670}\right)\)
\(\chi_{10055}(31,\cdot)\)	10055.bf	335	no	\(1\)	\(1\)	\(e\left(\frac{46}{67}\right)\)	\(e\left(\frac{258}{335}\right)\)	\(e\left(\frac{25}{67}\right)\)	\(e\left(\frac{153}{335}\right)\)	\(e\left(\frac{221}{335}\right)\)	\(e\left(\frac{4}{67}\right)\)	\(e\left(\frac{181}{335}\right)\)	\(e\left(\frac{216}{335}\right)\)	\(e\left(\frac{48}{335}\right)\)	\(e\left(\frac{184}{335}\right)\)
\(\chi_{10055}(32,\cdot)\)	10055.bm	804	yes	\(1\)	\(1\)	\(e\left(\frac{455}{804}\right)\)	\(e\left(\frac{289}{804}\right)\)	\(e\left(\frac{53}{402}\right)\)	\(e\left(\frac{62}{67}\right)\)	\(e\left(\frac{427}{804}\right)\)	\(e\left(\frac{187}{268}\right)\)	\(e\left(\frac{289}{402}\right)\)	\(e\left(\frac{1}{402}\right)\)	\(e\left(\frac{395}{804}\right)\)	\(e\left(\frac{233}{268}\right)\)
\(\chi_{10055}(33,\cdot)\)	10055.bq	1340	yes	\(-1\)	\(1\)	\(e\left(\frac{73}{268}\right)\)	\(e\left(\frac{1027}{1340}\right)\)	\(e\left(\frac{73}{134}\right)\)	\(e\left(\frac{13}{335}\right)\)	\(e\left(\frac{1229}{1340}\right)\)	\(e\left(\frac{219}{268}\right)\)	\(e\left(\frac{357}{670}\right)\)	\(e\left(\frac{176}{335}\right)\)	\(e\left(\frac{417}{1340}\right)\)	\(e\left(\frac{91}{1340}\right)\)
\(\chi_{10055}(34,\cdot)\)	10055.br	2010	yes	\(1\)	\(1\)	\(e\left(\frac{265}{402}\right)\)	\(e\left(\frac{1597}{2010}\right)\)	\(e\left(\frac{64}{201}\right)\)	\(e\left(\frac{152}{335}\right)\)	\(e\left(\frac{1429}{2010}\right)\)	\(e\left(\frac{131}{134}\right)\)	\(e\left(\frac{592}{1005}\right)\)	\(e\left(\frac{427}{1005}\right)\)	\(e\left(\frac{227}{2010}\right)\)	\(e\left(\frac{197}{670}\right)\)
\(\chi_{10055}(36,\cdot)\)	10055.bf	335	no	\(1\)	\(1\)	\(e\left(\frac{65}{67}\right)\)	\(e\left(\frac{82}{335}\right)\)	\(e\left(\frac{63}{67}\right)\)	\(e\left(\frac{72}{335}\right)\)	\(e\left(\frac{104}{335}\right)\)	\(e\left(\frac{61}{67}\right)\)	\(e\left(\frac{164}{335}\right)\)	\(e\left(\frac{279}{335}\right)\)	\(e\left(\frac{62}{335}\right)\)	\(e\left(\frac{126}{335}\right)\)
\(\chi_{10055}(37,\cdot)\)	10055.bm	804	yes	\(1\)	\(1\)	\(e\left(\frac{599}{804}\right)\)	\(e\left(\frac{73}{804}\right)\)	\(e\left(\frac{197}{402}\right)\)	\(e\left(\frac{56}{67}\right)\)	\(e\left(\frac{55}{804}\right)\)	\(e\left(\frac{63}{268}\right)\)	\(e\left(\frac{73}{402}\right)\)	\(e\left(\frac{163}{402}\right)\)	\(e\left(\frac{467}{804}\right)\)	\(e\left(\frac{57}{268}\right)\)
\(\chi_{10055}(38,\cdot)\)	10055.bu	4020	yes	\(-1\)	\(1\)	\(e\left(\frac{299}{804}\right)\)	\(e\left(\frac{3821}{4020}\right)\)	\(e\left(\frac{299}{402}\right)\)	\(e\left(\frac{108}{335}\right)\)	\(e\left(\frac{2207}{4020}\right)\)	\(e\left(\frac{31}{268}\right)\)	\(e\left(\frac{1811}{2010}\right)\)	\(e\left(\frac{418}{1005}\right)\)	\(e\left(\frac{2791}{4020}\right)\)	\(e\left(\frac{1091}{1340}\right)\)
\(\chi_{10055}(39,\cdot)\)	10055.bt	2010	yes	\(-1\)	\(1\)	\(e\left(\frac{170}{201}\right)\)	\(e\left(\frac{467}{1005}\right)\)	\(e\left(\frac{139}{201}\right)\)	\(e\left(\frac{104}{335}\right)\)	\(e\left(\frac{674}{1005}\right)\)	\(e\left(\frac{36}{67}\right)\)	\(e\left(\frac{934}{1005}\right)\)	\(e\left(\frac{743}{2010}\right)\)	\(e\left(\frac{157}{1005}\right)\)	\(e\left(\frac{29}{670}\right)\)

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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.