Properties

Modulus 87362
Structure \(C_{18810}\times C_{2}\)
Order 37620

Learn more about

Show commands for: Pari/GP / SageMath

sage: from dirichlet_conrey import DirichletGroup_conrey # requires nonstandard Sage package to be installed
 
sage: H = DirichletGroup_conrey(87362)
 
pari: g = idealstar(,87362,2)
 

Character group

sage: G.order()
 
pari: g.no
 
Order = 37620
sage: H.invariants()
 
pari: g.cyc
 
Structure = \(C_{18810}\times C_{2}\)
sage: H.gens()
 
pari: g.gen
 
Generators = $\chi_{87362}(11193,\cdot)$, $\chi_{87362}(43319,\cdot)$

First 37 of 37620 characters

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

order primitive 1 3 5 7 9 13 15 17 21 23 25 27 29 31 35 37 39 41 43 45 47 49 51 53 59 61 63 65 67 69
\(\chi_{87362}(1,\cdot)\) 1 no 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
\(\chi_{87362}(3,\cdot)\) 1710 no 1 \(e\left(\frac{1529}{1710}\right)\) \(e\left(\frac{421}{855}\right)\) \(e\left(\frac{161}{285}\right)\) \(e\left(\frac{674}{855}\right)\) \(e\left(\frac{883}{1710}\right)\) \(e\left(\frac{661}{1710}\right)\) \(e\left(\frac{46}{855}\right)\) \(e\left(\frac{157}{342}\right)\) \(e\left(\frac{58}{171}\right)\) \(e\left(\frac{842}{855}\right)\) \(e\left(\frac{389}{570}\right)\) \(e\left(\frac{871}{1710}\right)\) \(e\left(\frac{541}{570}\right)\) \(e\left(\frac{49}{855}\right)\) \(e\left(\frac{169}{190}\right)\) \(e\left(\frac{39}{95}\right)\) \(e\left(\frac{1079}{1710}\right)\) \(e\left(\frac{23}{171}\right)\) \(e\left(\frac{16}{57}\right)\) \(e\left(\frac{827}{855}\right)\) \(e\left(\frac{37}{285}\right)\) \(e\left(\frac{1621}{1710}\right)\) \(e\left(\frac{913}{1710}\right)\) \(e\left(\frac{281}{1710}\right)\) \(e\left(\frac{506}{855}\right)\) \(e\left(\frac{302}{855}\right)\) \(e\left(\frac{1}{114}\right)\) \(e\left(\frac{113}{342}\right)\) \(e\left(\frac{7}{30}\right)\)
\(\chi_{87362}(5,\cdot)\) 9405 no 1 \(e\left(\frac{421}{855}\right)\) \(e\left(\frac{1523}{9405}\right)\) \(e\left(\frac{1453}{3135}\right)\) \(e\left(\frac{842}{855}\right)\) \(e\left(\frac{1192}{9405}\right)\) \(e\left(\frac{6154}{9405}\right)\) \(e\left(\frac{2573}{9405}\right)\) \(e\left(\frac{1798}{1881}\right)\) \(e\left(\frac{248}{1881}\right)\) \(e\left(\frac{3046}{9405}\right)\) \(e\left(\frac{136}{285}\right)\) \(e\left(\frac{9109}{9405}\right)\) \(e\left(\frac{1249}{3135}\right)\) \(e\left(\frac{5882}{9405}\right)\) \(e\left(\frac{816}{1045}\right)\) \(e\left(\frac{647}{1045}\right)\) \(e\left(\frac{8681}{9405}\right)\) \(e\left(\frac{175}{1881}\right)\) \(e\left(\frac{92}{627}\right)\) \(e\left(\frac{5311}{9405}\right)\) \(e\left(\frac{2906}{3135}\right)\) \(e\left(\frac{7204}{9405}\right)\) \(e\left(\frac{5767}{9405}\right)\) \(e\left(\frac{2924}{9405}\right)\) \(e\left(\frac{6928}{9405}\right)\) \(e\left(\frac{4216}{9405}\right)\) \(e\left(\frac{181}{627}\right)\) \(e\left(\frac{1415}{1881}\right)\) \(e\left(\frac{103}{165}\right)\)
\(\chi_{87362}(7,\cdot)\) 6270 no 1 \(e\left(\frac{161}{285}\right)\) \(e\left(\frac{1453}{3135}\right)\) \(e\left(\frac{491}{2090}\right)\) \(e\left(\frac{37}{285}\right)\) \(e\left(\frac{4549}{6270}\right)\) \(e\left(\frac{89}{3135}\right)\) \(e\left(\frac{1511}{6270}\right)\) \(e\left(\frac{1003}{1254}\right)\) \(e\left(\frac{307}{627}\right)\) \(e\left(\frac{2906}{3135}\right)\) \(e\left(\frac{66}{95}\right)\) \(e\left(\frac{3373}{6270}\right)\) \(e\left(\frac{384}{1045}\right)\) \(e\left(\frac{4379}{6270}\right)\) \(e\left(\frac{428}{1045}\right)\) \(e\left(\frac{607}{2090}\right)\) \(e\left(\frac{5327}{6270}\right)\) \(e\left(\frac{499}{1254}\right)\) \(e\left(\frac{124}{209}\right)\) \(e\left(\frac{2006}{3135}\right)\) \(e\left(\frac{491}{1045}\right)\) \(e\left(\frac{5053}{6270}\right)\) \(e\left(\frac{467}{3135}\right)\) \(e\left(\frac{1324}{3135}\right)\) \(e\left(\frac{1801}{6270}\right)\) \(e\left(\frac{2287}{6270}\right)\) \(e\left(\frac{79}{418}\right)\) \(e\left(\frac{217}{627}\right)\) \(e\left(\frac{3}{55}\right)\)
\(\chi_{87362}(9,\cdot)\) 855 no 1 \(e\left(\frac{674}{855}\right)\) \(e\left(\frac{842}{855}\right)\) \(e\left(\frac{37}{285}\right)\) \(e\left(\frac{493}{855}\right)\) \(e\left(\frac{28}{855}\right)\) \(e\left(\frac{661}{855}\right)\) \(e\left(\frac{92}{855}\right)\) \(e\left(\frac{157}{171}\right)\) \(e\left(\frac{116}{171}\right)\) \(e\left(\frac{829}{855}\right)\) \(e\left(\frac{104}{285}\right)\) \(e\left(\frac{16}{855}\right)\) \(e\left(\frac{256}{285}\right)\) \(e\left(\frac{98}{855}\right)\) \(e\left(\frac{74}{95}\right)\) \(e\left(\frac{78}{95}\right)\) \(e\left(\frac{224}{855}\right)\) \(e\left(\frac{46}{171}\right)\) \(e\left(\frac{32}{57}\right)\) \(e\left(\frac{799}{855}\right)\) \(e\left(\frac{74}{285}\right)\) \(e\left(\frac{766}{855}\right)\) \(e\left(\frac{58}{855}\right)\) \(e\left(\frac{281}{855}\right)\) \(e\left(\frac{157}{855}\right)\) \(e\left(\frac{604}{855}\right)\) \(e\left(\frac{1}{57}\right)\) \(e\left(\frac{113}{171}\right)\) \(e\left(\frac{7}{15}\right)\)
\(\chi_{87362}(13,\cdot)\) 18810 no 1 \(e\left(\frac{883}{1710}\right)\) \(e\left(\frac{1192}{9405}\right)\) \(e\left(\frac{4549}{6270}\right)\) \(e\left(\frac{28}{855}\right)\) \(e\left(\frac{2168}{9405}\right)\) \(e\left(\frac{12097}{18810}\right)\) \(e\left(\frac{7529}{18810}\right)\) \(e\left(\frac{455}{1881}\right)\) \(e\left(\frac{1360}{1881}\right)\) \(e\left(\frac{2384}{9405}\right)\) \(e\left(\frac{313}{570}\right)\) \(e\left(\frac{9056}{9405}\right)\) \(e\left(\frac{2797}{6270}\right)\) \(e\left(\frac{16031}{18810}\right)\) \(e\left(\frac{1783}{2090}\right)\) \(e\left(\frac{1561}{2090}\right)\) \(e\left(\frac{5374}{9405}\right)\) \(e\left(\frac{3679}{3762}\right)\) \(e\left(\frac{100}{627}\right)\) \(e\left(\frac{9344}{9405}\right)\) \(e\left(\frac{1414}{3135}\right)\) \(e\left(\frac{8621}{9405}\right)\) \(e\left(\frac{3241}{18810}\right)\) \(e\left(\frac{9437}{18810}\right)\) \(e\left(\frac{10999}{18810}\right)\) \(e\left(\frac{14263}{18810}\right)\) \(e\left(\frac{224}{627}\right)\) \(e\left(\frac{2231}{3762}\right)\) \(e\left(\frac{79}{330}\right)\)
\(\chi_{87362}(15,\cdot)\) 18810 no 1 \(e\left(\frac{661}{1710}\right)\) \(e\left(\frac{6154}{9405}\right)\) \(e\left(\frac{89}{3135}\right)\) \(e\left(\frac{661}{855}\right)\) \(e\left(\frac{12097}{18810}\right)\) \(e\left(\frac{769}{18810}\right)\) \(e\left(\frac{3079}{9405}\right)\) \(e\left(\frac{1561}{3762}\right)\) \(e\left(\frac{886}{1881}\right)\) \(e\left(\frac{2903}{9405}\right)\) \(e\left(\frac{91}{570}\right)\) \(e\left(\frac{8989}{18810}\right)\) \(e\left(\frac{2179}{6270}\right)\) \(e\left(\frac{6421}{9405}\right)\) \(e\left(\frac{1401}{2090}\right)\) \(e\left(\frac{31}{1045}\right)\) \(e\left(\frac{10421}{18810}\right)\) \(e\left(\frac{428}{1881}\right)\) \(e\left(\frac{268}{627}\right)\) \(e\left(\frac{5003}{9405}\right)\) \(e\left(\frac{178}{3135}\right)\) \(e\left(\frac{13429}{18810}\right)\) \(e\left(\frac{2767}{18810}\right)\) \(e\left(\frac{8939}{18810}\right)\) \(e\left(\frac{3089}{9405}\right)\) \(e\left(\frac{7538}{9405}\right)\) \(e\left(\frac{373}{1254}\right)\) \(e\left(\frac{311}{3762}\right)\) \(e\left(\frac{283}{330}\right)\)
\(\chi_{87362}(17,\cdot)\) 18810 no 1 \(e\left(\frac{46}{855}\right)\) \(e\left(\frac{2573}{9405}\right)\) \(e\left(\frac{1511}{6270}\right)\) \(e\left(\frac{92}{855}\right)\) \(e\left(\frac{7529}{18810}\right)\) \(e\left(\frac{3079}{9405}\right)\) \(e\left(\frac{3241}{18810}\right)\) \(e\left(\frac{1109}{3762}\right)\) \(e\left(\frac{1244}{1881}\right)\) \(e\left(\frac{5146}{9405}\right)\) \(e\left(\frac{46}{285}\right)\) \(e\left(\frac{15173}{18810}\right)\) \(e\left(\frac{1684}{3135}\right)\) \(e\left(\frac{9679}{18810}\right)\) \(e\left(\frac{466}{1045}\right)\) \(e\left(\frac{949}{2090}\right)\) \(e\left(\frac{9787}{18810}\right)\) \(e\left(\frac{1877}{3762}\right)\) \(e\left(\frac{239}{627}\right)\) \(e\left(\frac{7861}{9405}\right)\) \(e\left(\frac{1511}{3135}\right)\) \(e\left(\frac{4253}{18810}\right)\) \(e\left(\frac{622}{9405}\right)\) \(e\left(\frac{8114}{9405}\right)\) \(e\left(\frac{6581}{18810}\right)\) \(e\left(\frac{6557}{18810}\right)\) \(e\left(\frac{845}{1254}\right)\) \(e\left(\frac{575}{1881}\right)\) \(e\left(\frac{118}{165}\right)\)
\(\chi_{87362}(21,\cdot)\) 3762 no 1 \(e\left(\frac{157}{342}\right)\) \(e\left(\frac{1798}{1881}\right)\) \(e\left(\frac{1003}{1254}\right)\) \(e\left(\frac{157}{171}\right)\) \(e\left(\frac{455}{1881}\right)\) \(e\left(\frac{1561}{3762}\right)\) \(e\left(\frac{1109}{3762}\right)\) \(e\left(\frac{487}{1881}\right)\) \(e\left(\frac{1559}{1881}\right)\) \(e\left(\frac{1715}{1881}\right)\) \(e\left(\frac{43}{114}\right)\) \(e\left(\frac{89}{1881}\right)\) \(e\left(\frac{397}{1254}\right)\) \(e\left(\frac{2843}{3762}\right)\) \(e\left(\frac{125}{418}\right)\) \(e\left(\frac{293}{418}\right)\) \(e\left(\frac{904}{1881}\right)\) \(e\left(\frac{2003}{3762}\right)\) \(e\left(\frac{548}{627}\right)\) \(e\left(\frac{1142}{1881}\right)\) \(e\left(\frac{376}{627}\right)\) \(e\left(\frac{1418}{1881}\right)\) \(e\left(\frac{2569}{3762}\right)\) \(e\left(\frac{2207}{3762}\right)\) \(e\left(\frac{3307}{3762}\right)\) \(e\left(\frac{2701}{3762}\right)\) \(e\left(\frac{124}{627}\right)\) \(e\left(\frac{2545}{3762}\right)\) \(e\left(\frac{19}{66}\right)\)
\(\chi_{87362}(23,\cdot)\) 1881 no 1 \(e\left(\frac{58}{171}\right)\) \(e\left(\frac{248}{1881}\right)\) \(e\left(\frac{307}{627}\right)\) \(e\left(\frac{116}{171}\right)\) \(e\left(\frac{1360}{1881}\right)\) \(e\left(\frac{886}{1881}\right)\) \(e\left(\frac{1244}{1881}\right)\) \(e\left(\frac{1559}{1881}\right)\) \(e\left(\frac{1642}{1881}\right)\) \(e\left(\frac{496}{1881}\right)\) \(e\left(\frac{1}{57}\right)\) \(e\left(\frac{142}{1881}\right)\) \(e\left(\frac{49}{627}\right)\) \(e\left(\frac{1169}{1881}\right)\) \(e\left(\frac{196}{209}\right)\) \(e\left(\frac{13}{209}\right)\) \(e\left(\frac{449}{1881}\right)\) \(e\left(\frac{203}{1881}\right)\) \(e\left(\frac{508}{627}\right)\) \(e\left(\frac{871}{1881}\right)\) \(e\left(\frac{614}{627}\right)\) \(e\left(\frac{1}{1881}\right)\) \(e\left(\frac{1669}{1881}\right)\) \(e\left(\frac{1190}{1881}\right)\) \(e\left(\frac{1201}{1881}\right)\) \(e\left(\frac{316}{1881}\right)\) \(e\left(\frac{536}{627}\right)\) \(e\left(\frac{889}{1881}\right)\) \(e\left(\frac{7}{33}\right)\)
\(\chi_{87362}(25,\cdot)\) 9405 no 1 \(e\left(\frac{842}{855}\right)\) \(e\left(\frac{3046}{9405}\right)\) \(e\left(\frac{2906}{3135}\right)\) \(e\left(\frac{829}{855}\right)\) \(e\left(\frac{2384}{9405}\right)\) \(e\left(\frac{2903}{9405}\right)\) \(e\left(\frac{5146}{9405}\right)\) \(e\left(\frac{1715}{1881}\right)\) \(e\left(\frac{496}{1881}\right)\) \(e\left(\frac{6092}{9405}\right)\) \(e\left(\frac{272}{285}\right)\) \(e\left(\frac{8813}{9405}\right)\) \(e\left(\frac{2498}{3135}\right)\) \(e\left(\frac{2359}{9405}\right)\) \(e\left(\frac{587}{1045}\right)\) \(e\left(\frac{249}{1045}\right)\) \(e\left(\frac{7957}{9405}\right)\) \(e\left(\frac{350}{1881}\right)\) \(e\left(\frac{184}{627}\right)\) \(e\left(\frac{1217}{9405}\right)\) \(e\left(\frac{2677}{3135}\right)\) \(e\left(\frac{5003}{9405}\right)\) \(e\left(\frac{2129}{9405}\right)\) \(e\left(\frac{5848}{9405}\right)\) \(e\left(\frac{4451}{9405}\right)\) \(e\left(\frac{8432}{9405}\right)\) \(e\left(\frac{362}{627}\right)\) \(e\left(\frac{949}{1881}\right)\) \(e\left(\frac{41}{165}\right)\)
\(\chi_{87362}(27,\cdot)\) 570 no 1 \(e\left(\frac{389}{570}\right)\) \(e\left(\frac{136}{285}\right)\) \(e\left(\frac{66}{95}\right)\) \(e\left(\frac{104}{285}\right)\) \(e\left(\frac{313}{570}\right)\) \(e\left(\frac{91}{570}\right)\) \(e\left(\frac{46}{285}\right)\) \(e\left(\frac{43}{114}\right)\) \(e\left(\frac{1}{57}\right)\) \(e\left(\frac{272}{285}\right)\) \(e\left(\frac{9}{190}\right)\) \(e\left(\frac{301}{570}\right)\) \(e\left(\frac{161}{190}\right)\) \(e\left(\frac{49}{285}\right)\) \(e\left(\frac{127}{190}\right)\) \(e\left(\frac{22}{95}\right)\) \(e\left(\frac{509}{570}\right)\) \(e\left(\frac{23}{57}\right)\) \(e\left(\frac{16}{19}\right)\) \(e\left(\frac{257}{285}\right)\) \(e\left(\frac{37}{95}\right)\) \(e\left(\frac{481}{570}\right)\) \(e\left(\frac{343}{570}\right)\) \(e\left(\frac{281}{570}\right)\) \(e\left(\frac{221}{285}\right)\) \(e\left(\frac{17}{285}\right)\) \(e\left(\frac{1}{38}\right)\) \(e\left(\frac{113}{114}\right)\) \(e\left(\frac{7}{10}\right)\)
\(\chi_{87362}(29,\cdot)\) 18810 no 1 \(e\left(\frac{871}{1710}\right)\) \(e\left(\frac{9109}{9405}\right)\) \(e\left(\frac{3373}{6270}\right)\) \(e\left(\frac{16}{855}\right)\) \(e\left(\frac{9056}{9405}\right)\) \(e\left(\frac{8989}{18810}\right)\) \(e\left(\frac{15173}{18810}\right)\) \(e\left(\frac{89}{1881}\right)\) \(e\left(\frac{142}{1881}\right)\) \(e\left(\frac{8813}{9405}\right)\) \(e\left(\frac{301}{570}\right)\) \(e\left(\frac{4442}{9405}\right)\) \(e\left(\frac{2209}{6270}\right)\) \(e\left(\frac{9527}{18810}\right)\) \(e\left(\frac{1521}{2090}\right)\) \(e\left(\frac{987}{2090}\right)\) \(e\left(\frac{8323}{9405}\right)\) \(e\left(\frac{1687}{3762}\right)\) \(e\left(\frac{619}{627}\right)\) \(e\left(\frac{4118}{9405}\right)\) \(e\left(\frac{238}{3135}\right)\) \(e\left(\frac{2972}{9405}\right)\) \(e\left(\frac{9547}{18810}\right)\) \(e\left(\frac{17729}{18810}\right)\) \(e\left(\frac{7873}{18810}\right)\) \(e\left(\frac{10471}{18810}\right)\) \(e\left(\frac{584}{627}\right)\) \(e\left(\frac{3107}{3762}\right)\) \(e\left(\frac{193}{330}\right)\)
\(\chi_{87362}(31,\cdot)\) 6270 no 1 \(e\left(\frac{541}{570}\right)\) \(e\left(\frac{1249}{3135}\right)\) \(e\left(\frac{384}{1045}\right)\) \(e\left(\frac{256}{285}\right)\) \(e\left(\frac{2797}{6270}\right)\) \(e\left(\frac{2179}{6270}\right)\) \(e\left(\frac{1684}{3135}\right)\) \(e\left(\frac{397}{1254}\right)\) \(e\left(\frac{49}{627}\right)\) \(e\left(\frac{2498}{3135}\right)\) \(e\left(\frac{161}{190}\right)\) \(e\left(\frac{2209}{6270}\right)\) \(e\left(\frac{1429}{2090}\right)\) \(e\left(\frac{2401}{3135}\right)\) \(e\left(\frac{1473}{2090}\right)\) \(e\left(\frac{413}{1045}\right)\) \(e\left(\frac{2141}{6270}\right)\) \(e\left(\frac{386}{627}\right)\) \(e\left(\frac{62}{209}\right)\) \(e\left(\frac{2048}{3135}\right)\) \(e\left(\frac{768}{1045}\right)\) \(e\left(\frac{3049}{6270}\right)\) \(e\left(\frac{2557}{6270}\right)\) \(e\left(\frac{2369}{6270}\right)\) \(e\left(\frac{2279}{3135}\right)\) \(e\left(\frac{833}{3135}\right)\) \(e\left(\frac{353}{418}\right)\) \(e\left(\frac{635}{1254}\right)\) \(e\left(\frac{3}{110}\right)\)
\(\chi_{87362}(35,\cdot)\) 18810 no 1 \(e\left(\frac{49}{855}\right)\) \(e\left(\frac{5882}{9405}\right)\) \(e\left(\frac{4379}{6270}\right)\) \(e\left(\frac{98}{855}\right)\) \(e\left(\frac{16031}{18810}\right)\) \(e\left(\frac{6421}{9405}\right)\) \(e\left(\frac{9679}{18810}\right)\) \(e\left(\frac{2843}{3762}\right)\) \(e\left(\frac{1169}{1881}\right)\) \(e\left(\frac{2359}{9405}\right)\) \(e\left(\frac{49}{285}\right)\) \(e\left(\frac{9527}{18810}\right)\) \(e\left(\frac{2401}{3135}\right)\) \(e\left(\frac{6091}{18810}\right)\) \(e\left(\frac{199}{1045}\right)\) \(e\left(\frac{1901}{2090}\right)\) \(e\left(\frac{14533}{18810}\right)\) \(e\left(\frac{1847}{3762}\right)\) \(e\left(\frac{464}{627}\right)\) \(e\left(\frac{1924}{9405}\right)\) \(e\left(\frac{1244}{3135}\right)\) \(e\left(\frac{10757}{18810}\right)\) \(e\left(\frac{7168}{9405}\right)\) \(e\left(\frac{6896}{9405}\right)\) \(e\left(\frac{449}{18810}\right)\) \(e\left(\frac{15293}{18810}\right)\) \(e\left(\frac{599}{1254}\right)\) \(e\left(\frac{185}{1881}\right)\) \(e\left(\frac{112}{165}\right)\)
\(\chi_{87362}(37,\cdot)\) 2090 no 1 \(e\left(\frac{169}{190}\right)\) \(e\left(\frac{816}{1045}\right)\) \(e\left(\frac{428}{1045}\right)\) \(e\left(\frac{74}{95}\right)\) \(e\left(\frac{1783}{2090}\right)\) \(e\left(\frac{1401}{2090}\right)\) \(e\left(\frac{466}{1045}\right)\) \(e\left(\frac{125}{418}\right)\) \(e\left(\frac{196}{209}\right)\) \(e\left(\frac{587}{1045}\right)\) \(e\left(\frac{127}{190}\right)\) \(e\left(\frac{1521}{2090}\right)\) \(e\left(\frac{1473}{2090}\right)\) \(e\left(\frac{199}{1045}\right)\) \(e\left(\frac{2001}{2090}\right)\) \(e\left(\frac{776}{1045}\right)\) \(e\left(\frac{1249}{2090}\right)\) \(e\left(\frac{81}{209}\right)\) \(e\left(\frac{117}{209}\right)\) \(e\left(\frac{877}{1045}\right)\) \(e\left(\frac{856}{1045}\right)\) \(e\left(\frac{701}{2090}\right)\) \(e\left(\frac{823}{2090}\right)\) \(e\left(\frac{71}{2090}\right)\) \(e\left(\frac{756}{1045}\right)\) \(e\left(\frac{197}{1045}\right)\) \(e\left(\frac{265}{418}\right)\) \(e\left(\frac{241}{418}\right)\) \(e\left(\frac{91}{110}\right)\)
\(\chi_{87362}(39,\cdot)\) 2090 no 1 \(e\left(\frac{39}{95}\right)\) \(e\left(\frac{647}{1045}\right)\) \(e\left(\frac{607}{2090}\right)\) \(e\left(\frac{78}{95}\right)\) \(e\left(\frac{1561}{2090}\right)\) \(e\left(\frac{31}{1045}\right)\) \(e\left(\frac{949}{2090}\right)\) \(e\left(\frac{293}{418}\right)\) \(e\left(\frac{13}{209}\right)\) \(e\left(\frac{249}{1045}\right)\) \(e\left(\frac{22}{95}\right)\) \(e\left(\frac{987}{2090}\right)\) \(e\left(\frac{413}{1045}\right)\) \(e\left(\frac{1901}{2090}\right)\) \(e\left(\frac{776}{1045}\right)\) \(e\left(\frac{329}{2090}\right)\) \(e\left(\frac{423}{2090}\right)\) \(e\left(\frac{47}{418}\right)\) \(e\left(\frac{92}{209}\right)\) \(e\left(\frac{1004}{1045}\right)\) \(e\left(\frac{607}{1045}\right)\) \(e\left(\frac{1807}{2090}\right)\) \(e\left(\frac{738}{1045}\right)\) \(e\left(\frac{696}{1045}\right)\) \(e\left(\frac{369}{2090}\right)\) \(e\left(\frac{233}{2090}\right)\) \(e\left(\frac{153}{418}\right)\) \(e\left(\frac{193}{209}\right)\) \(e\left(\frac{26}{55}\right)\)
\(\chi_{87362}(41,\cdot)\) 18810 no 1 \(e\left(\frac{1079}{1710}\right)\) \(e\left(\frac{8681}{9405}\right)\) \(e\left(\frac{5327}{6270}\right)\) \(e\left(\frac{224}{855}\right)\) \(e\left(\frac{5374}{9405}\right)\) \(e\left(\frac{10421}{18810}\right)\) \(e\left(\frac{9787}{18810}\right)\) \(e\left(\frac{904}{1881}\right)\) \(e\left(\frac{449}{1881}\right)\) \(e\left(\frac{7957}{9405}\right)\) \(e\left(\frac{509}{570}\right)\) \(e\left(\frac{8323}{9405}\right)\) \(e\left(\frac{2141}{6270}\right)\) \(e\left(\frac{14533}{18810}\right)\) \(e\left(\frac{1249}{2090}\right)\) \(e\left(\frac{423}{2090}\right)\) \(e\left(\frac{8792}{9405}\right)\) \(e\left(\frac{1559}{3762}\right)\) \(e\left(\frac{116}{627}\right)\) \(e\left(\frac{5497}{9405}\right)\) \(e\left(\frac{2192}{3135}\right)\) \(e\left(\frac{1423}{9405}\right)\) \(e\left(\frac{7973}{18810}\right)\) \(e\left(\frac{2821}{18810}\right)\) \(e\left(\frac{15317}{18810}\right)\) \(e\left(\frac{2099}{18810}\right)\) \(e\left(\frac{310}{627}\right)\) \(e\left(\frac{2287}{3762}\right)\) \(e\left(\frac{287}{330}\right)\)
\(\chi_{87362}(43,\cdot)\) 3762 no 1 \(e\left(\frac{23}{171}\right)\) \(e\left(\frac{175}{1881}\right)\) \(e\left(\frac{499}{1254}\right)\) \(e\left(\frac{46}{171}\right)\) \(e\left(\frac{3679}{3762}\right)\) \(e\left(\frac{428}{1881}\right)\) \(e\left(\frac{1877}{3762}\right)\) \(e\left(\frac{2003}{3762}\right)\) \(e\left(\frac{203}{1881}\right)\) \(e\left(\frac{350}{1881}\right)\) \(e\left(\frac{23}{57}\right)\) \(e\left(\frac{1687}{3762}\right)\) \(e\left(\frac{386}{627}\right)\) \(e\left(\frac{1847}{3762}\right)\) \(e\left(\frac{81}{209}\right)\) \(e\left(\frac{47}{418}\right)\) \(e\left(\frac{1559}{3762}\right)\) \(e\left(\frac{2213}{3762}\right)\) \(e\left(\frac{227}{627}\right)\) \(e\left(\frac{425}{1881}\right)\) \(e\left(\frac{499}{627}\right)\) \(e\left(\frac{2383}{3762}\right)\) \(e\left(\frac{1337}{1881}\right)\) \(e\left(\frac{1492}{1881}\right)\) \(e\left(\frac{2863}{3762}\right)\) \(e\left(\frac{2509}{3762}\right)\) \(e\left(\frac{89}{1254}\right)\) \(e\left(\frac{1181}{1881}\right)\) \(e\left(\frac{8}{33}\right)\)
\(\chi_{87362}(45,\cdot)\) 627 no 1 \(e\left(\frac{16}{57}\right)\) \(e\left(\frac{92}{627}\right)\) \(e\left(\frac{124}{209}\right)\) \(e\left(\frac{32}{57}\right)\) \(e\left(\frac{100}{627}\right)\) \(e\left(\frac{268}{627}\right)\) \(e\left(\frac{239}{627}\right)\) \(e\left(\frac{548}{627}\right)\) \(e\left(\frac{508}{627}\right)\) \(e\left(\frac{184}{627}\right)\) \(e\left(\frac{16}{19}\right)\) \(e\left(\frac{619}{627}\right)\) \(e\left(\frac{62}{209}\right)\) \(e\left(\frac{464}{627}\right)\) \(e\left(\frac{117}{209}\right)\) \(e\left(\frac{92}{209}\right)\) \(e\left(\frac{116}{627}\right)\) \(e\left(\frac{227}{627}\right)\) \(e\left(\frac{148}{209}\right)\) \(e\left(\frac{313}{627}\right)\) \(e\left(\frac{39}{209}\right)\) \(e\left(\frac{415}{627}\right)\) \(e\left(\frac{427}{627}\right)\) \(e\left(\frac{401}{627}\right)\) \(e\left(\frac{577}{627}\right)\) \(e\left(\frac{97}{627}\right)\) \(e\left(\frac{64}{209}\right)\) \(e\left(\frac{259}{627}\right)\) \(e\left(\frac{1}{11}\right)\)
\(\chi_{87362}(47,\cdot)\) 9405 no 1 \(e\left(\frac{827}{855}\right)\) \(e\left(\frac{5311}{9405}\right)\) \(e\left(\frac{2006}{3135}\right)\) \(e\left(\frac{799}{855}\right)\) \(e\left(\frac{9344}{9405}\right)\) \(e\left(\frac{5003}{9405}\right)\) \(e\left(\frac{7861}{9405}\right)\) \(e\left(\frac{1142}{1881}\right)\) \(e\left(\frac{871}{1881}\right)\) \(e\left(\frac{1217}{9405}\right)\) \(e\left(\frac{257}{285}\right)\) \(e\left(\frac{4118}{9405}\right)\) \(e\left(\frac{2048}{3135}\right)\) \(e\left(\frac{1924}{9405}\right)\) \(e\left(\frac{877}{1045}\right)\) \(e\left(\frac{1004}{1045}\right)\) \(e\left(\frac{5497}{9405}\right)\) \(e\left(\frac{425}{1881}\right)\) \(e\left(\frac{313}{627}\right)\) \(e\left(\frac{2687}{9405}\right)\) \(e\left(\frac{877}{3135}\right)\) \(e\left(\frac{7553}{9405}\right)\) \(e\left(\frac{7019}{9405}\right)\) \(e\left(\frac{2533}{9405}\right)\) \(e\left(\frac{971}{9405}\right)\) \(e\left(\frac{5402}{9405}\right)\) \(e\left(\frac{350}{627}\right)\) \(e\left(\frac{1018}{1881}\right)\) \(e\left(\frac{71}{165}\right)\)
\(\chi_{87362}(49,\cdot)\) 3135 no 1 \(e\left(\frac{37}{285}\right)\) \(e\left(\frac{2906}{3135}\right)\) \(e\left(\frac{491}{1045}\right)\) \(e\left(\frac{74}{285}\right)\) \(e\left(\frac{1414}{3135}\right)\) \(e\left(\frac{178}{3135}\right)\) \(e\left(\frac{1511}{3135}\right)\) \(e\left(\frac{376}{627}\right)\) \(e\left(\frac{614}{627}\right)\) \(e\left(\frac{2677}{3135}\right)\) \(e\left(\frac{37}{95}\right)\) \(e\left(\frac{238}{3135}\right)\) \(e\left(\frac{768}{1045}\right)\) \(e\left(\frac{1244}{3135}\right)\) \(e\left(\frac{856}{1045}\right)\) \(e\left(\frac{607}{1045}\right)\) \(e\left(\frac{2192}{3135}\right)\) \(e\left(\frac{499}{627}\right)\) \(e\left(\frac{39}{209}\right)\) \(e\left(\frac{877}{3135}\right)\) \(e\left(\frac{982}{1045}\right)\) \(e\left(\frac{1918}{3135}\right)\) \(e\left(\frac{934}{3135}\right)\) \(e\left(\frac{2648}{3135}\right)\) \(e\left(\frac{1801}{3135}\right)\) \(e\left(\frac{2287}{3135}\right)\) \(e\left(\frac{79}{209}\right)\) \(e\left(\frac{434}{627}\right)\) \(e\left(\frac{6}{55}\right)\)
\(\chi_{87362}(51,\cdot)\) 18810 no 1 \(e\left(\frac{1621}{1710}\right)\) \(e\left(\frac{7204}{9405}\right)\) \(e\left(\frac{5053}{6270}\right)\) \(e\left(\frac{766}{855}\right)\) \(e\left(\frac{8621}{9405}\right)\) \(e\left(\frac{13429}{18810}\right)\) \(e\left(\frac{4253}{18810}\right)\) \(e\left(\frac{1418}{1881}\right)\) \(e\left(\frac{1}{1881}\right)\) \(e\left(\frac{5003}{9405}\right)\) \(e\left(\frac{481}{570}\right)\) \(e\left(\frac{2972}{9405}\right)\) \(e\left(\frac{3049}{6270}\right)\) \(e\left(\frac{10757}{18810}\right)\) \(e\left(\frac{701}{2090}\right)\) \(e\left(\frac{1807}{2090}\right)\) \(e\left(\frac{1423}{9405}\right)\) \(e\left(\frac{2383}{3762}\right)\) \(e\left(\frac{415}{627}\right)\) \(e\left(\frac{7553}{9405}\right)\) \(e\left(\frac{1918}{3135}\right)\) \(e\left(\frac{1637}{9405}\right)\) \(e\left(\frac{11287}{18810}\right)\) \(e\left(\frac{509}{18810}\right)\) \(e\left(\frac{17713}{18810}\right)\) \(e\left(\frac{13201}{18810}\right)\) \(e\left(\frac{428}{627}\right)\) \(e\left(\frac{2393}{3762}\right)\) \(e\left(\frac{313}{330}\right)\)
\(\chi_{87362}(53,\cdot)\) 18810 no 1 \(e\left(\frac{913}{1710}\right)\) \(e\left(\frac{5767}{9405}\right)\) \(e\left(\frac{467}{3135}\right)\) \(e\left(\frac{58}{855}\right)\) \(e\left(\frac{3241}{18810}\right)\) \(e\left(\frac{2767}{18810}\right)\) \(e\left(\frac{622}{9405}\right)\) \(e\left(\frac{2569}{3762}\right)\) \(e\left(\frac{1669}{1881}\right)\) \(e\left(\frac{2129}{9405}\right)\) \(e\left(\frac{343}{570}\right)\) \(e\left(\frac{9547}{18810}\right)\) \(e\left(\frac{2557}{6270}\right)\) \(e\left(\frac{7168}{9405}\right)\) \(e\left(\frac{823}{2090}\right)\) \(e\left(\frac{738}{1045}\right)\) \(e\left(\frac{7973}{18810}\right)\) \(e\left(\frac{1337}{1881}\right)\) \(e\left(\frac{427}{627}\right)\) \(e\left(\frac{7019}{9405}\right)\) \(e\left(\frac{934}{3135}\right)\) \(e\left(\frac{11287}{18810}\right)\) \(e\left(\frac{5431}{18810}\right)\) \(e\left(\frac{14357}{18810}\right)\) \(e\left(\frac{3422}{9405}\right)\) \(e\left(\frac{2039}{9405}\right)\) \(e\left(\frac{985}{1254}\right)\) \(e\left(\frac{2435}{3762}\right)\) \(e\left(\frac{139}{330}\right)\)
\(\chi_{87362}(59,\cdot)\) 18810 no 1 \(e\left(\frac{281}{1710}\right)\) \(e\left(\frac{2924}{9405}\right)\) \(e\left(\frac{1324}{3135}\right)\) \(e\left(\frac{281}{855}\right)\) \(e\left(\frac{9437}{18810}\right)\) \(e\left(\frac{8939}{18810}\right)\) \(e\left(\frac{8114}{9405}\right)\) \(e\left(\frac{2207}{3762}\right)\) \(e\left(\frac{1190}{1881}\right)\) \(e\left(\frac{5848}{9405}\right)\) \(e\left(\frac{281}{570}\right)\) \(e\left(\frac{17729}{18810}\right)\) \(e\left(\frac{2369}{6270}\right)\) \(e\left(\frac{6896}{9405}\right)\) \(e\left(\frac{71}{2090}\right)\) \(e\left(\frac{696}{1045}\right)\) \(e\left(\frac{2821}{18810}\right)\) \(e\left(\frac{1492}{1881}\right)\) \(e\left(\frac{401}{627}\right)\) \(e\left(\frac{2533}{9405}\right)\) \(e\left(\frac{2648}{3135}\right)\) \(e\left(\frac{509}{18810}\right)\) \(e\left(\frac{14357}{18810}\right)\) \(e\left(\frac{1909}{18810}\right)\) \(e\left(\frac{3754}{9405}\right)\) \(e\left(\frac{7063}{9405}\right)\) \(e\left(\frac{1019}{1254}\right)\) \(e\left(\frac{1717}{3762}\right)\) \(e\left(\frac{263}{330}\right)\)
\(\chi_{87362}(61,\cdot)\) 18810 no 1 \(e\left(\frac{506}{855}\right)\) \(e\left(\frac{6928}{9405}\right)\) \(e\left(\frac{1801}{6270}\right)\) \(e\left(\frac{157}{855}\right)\) \(e\left(\frac{10999}{18810}\right)\) \(e\left(\frac{3089}{9405}\right)\) \(e\left(\frac{6581}{18810}\right)\) \(e\left(\frac{3307}{3762}\right)\) \(e\left(\frac{1201}{1881}\right)\) \(e\left(\frac{4451}{9405}\right)\) \(e\left(\frac{221}{285}\right)\) \(e\left(\frac{7873}{18810}\right)\) \(e\left(\frac{2279}{3135}\right)\) \(e\left(\frac{449}{18810}\right)\) \(e\left(\frac{756}{1045}\right)\) \(e\left(\frac{369}{2090}\right)\) \(e\left(\frac{15317}{18810}\right)\) \(e\left(\frac{2863}{3762}\right)\) \(e\left(\frac{577}{627}\right)\) \(e\left(\frac{971}{9405}\right)\) \(e\left(\frac{1801}{3135}\right)\) \(e\left(\frac{17713}{18810}\right)\) \(e\left(\frac{3422}{9405}\right)\) \(e\left(\frac{3754}{9405}\right)\) \(e\left(\frac{14251}{18810}\right)\) \(e\left(\frac{8857}{18810}\right)\) \(e\left(\frac{403}{1254}\right)\) \(e\left(\frac{853}{1881}\right)\) \(e\left(\frac{38}{165}\right)\)
\(\chi_{87362}(63,\cdot)\) 18810 no 1 \(e\left(\frac{302}{855}\right)\) \(e\left(\frac{4216}{9405}\right)\) \(e\left(\frac{2287}{6270}\right)\) \(e\left(\frac{604}{855}\right)\) \(e\left(\frac{14263}{18810}\right)\) \(e\left(\frac{7538}{9405}\right)\) \(e\left(\frac{6557}{18810}\right)\) \(e\left(\frac{2701}{3762}\right)\) \(e\left(\frac{316}{1881}\right)\) \(e\left(\frac{8432}{9405}\right)\) \(e\left(\frac{17}{285}\right)\) \(e\left(\frac{10471}{18810}\right)\) \(e\left(\frac{833}{3135}\right)\) \(e\left(\frac{15293}{18810}\right)\) \(e\left(\frac{197}{1045}\right)\) \(e\left(\frac{233}{2090}\right)\) \(e\left(\frac{2099}{18810}\right)\) \(e\left(\frac{2509}{3762}\right)\) \(e\left(\frac{97}{627}\right)\) \(e\left(\frac{5402}{9405}\right)\) \(e\left(\frac{2287}{3135}\right)\) \(e\left(\frac{13201}{18810}\right)\) \(e\left(\frac{2039}{9405}\right)\) \(e\left(\frac{7063}{9405}\right)\) \(e\left(\frac{8857}{18810}\right)\) \(e\left(\frac{1339}{18810}\right)\) \(e\left(\frac{259}{1254}\right)\) \(e\left(\frac{13}{1881}\right)\) \(e\left(\frac{86}{165}\right)\)
\(\chi_{87362}(65,\cdot)\) 1254 no 1 \(e\left(\frac{1}{114}\right)\) \(e\left(\frac{181}{627}\right)\) \(e\left(\frac{79}{418}\right)\) \(e\left(\frac{1}{57}\right)\) \(e\left(\frac{224}{627}\right)\) \(e\left(\frac{373}{1254}\right)\) \(e\left(\frac{845}{1254}\right)\) \(e\left(\frac{124}{627}\right)\) \(e\left(\frac{536}{627}\right)\) \(e\left(\frac{362}{627}\right)\) \(e\left(\frac{1}{38}\right)\) \(e\left(\frac{584}{627}\right)\) \(e\left(\frac{353}{418}\right)\) \(e\left(\frac{599}{1254}\right)\) \(e\left(\frac{265}{418}\right)\) \(e\left(\frac{153}{418}\right)\) \(e\left(\frac{310}{627}\right)\) \(e\left(\frac{89}{1254}\right)\) \(e\left(\frac{64}{209}\right)\) \(e\left(\frac{350}{627}\right)\) \(e\left(\frac{79}{209}\right)\) \(e\left(\frac{428}{627}\right)\) \(e\left(\frac{985}{1254}\right)\) \(e\left(\frac{1019}{1254}\right)\) \(e\left(\frac{403}{1254}\right)\) \(e\left(\frac{259}{1254}\right)\) \(e\left(\frac{135}{209}\right)\) \(e\left(\frac{433}{1254}\right)\) \(e\left(\frac{19}{22}\right)\)
\(\chi_{87362}(67,\cdot)\) 3762 no 1 \(e\left(\frac{113}{342}\right)\) \(e\left(\frac{1415}{1881}\right)\) \(e\left(\frac{217}{627}\right)\) \(e\left(\frac{113}{171}\right)\) \(e\left(\frac{2231}{3762}\right)\) \(e\left(\frac{311}{3762}\right)\) \(e\left(\frac{575}{1881}\right)\) \(e\left(\frac{2545}{3762}\right)\) \(e\left(\frac{889}{1881}\right)\) \(e\left(\frac{949}{1881}\right)\) \(e\left(\frac{113}{114}\right)\) \(e\left(\frac{3107}{3762}\right)\) \(e\left(\frac{635}{1254}\right)\) \(e\left(\frac{185}{1881}\right)\) \(e\left(\frac{241}{418}\right)\) \(e\left(\frac{193}{209}\right)\) \(e\left(\frac{2287}{3762}\right)\) \(e\left(\frac{1181}{1881}\right)\) \(e\left(\frac{259}{627}\right)\) \(e\left(\frac{1018}{1881}\right)\) \(e\left(\frac{434}{627}\right)\) \(e\left(\frac{2393}{3762}\right)\) \(e\left(\frac{2435}{3762}\right)\) \(e\left(\frac{1717}{3762}\right)\) \(e\left(\frac{853}{1881}\right)\) \(e\left(\frac{13}{1881}\right)\) \(e\left(\frac{433}{1254}\right)\) \(e\left(\frac{1847}{3762}\right)\) \(e\left(\frac{53}{66}\right)\)
\(\chi_{87362}(69,\cdot)\) 330 no 1 \(e\left(\frac{7}{30}\right)\) \(e\left(\frac{103}{165}\right)\) \(e\left(\frac{3}{55}\right)\) \(e\left(\frac{7}{15}\right)\) \(e\left(\frac{79}{330}\right)\) \(e\left(\frac{283}{330}\right)\) \(e\left(\frac{118}{165}\right)\) \(e\left(\frac{19}{66}\right)\) \(e\left(\frac{7}{33}\right)\) \(e\left(\frac{41}{165}\right)\) \(e\left(\frac{7}{10}\right)\) \(e\left(\frac{193}{330}\right)\) \(e\left(\frac{3}{110}\right)\) \(e\left(\frac{112}{165}\right)\) \(e\left(\frac{91}{110}\right)\) \(e\left(\frac{26}{55}\right)\) \(e\left(\frac{287}{330}\right)\) \(e\left(\frac{8}{33}\right)\) \(e\left(\frac{1}{11}\right)\) \(e\left(\frac{71}{165}\right)\) \(e\left(\frac{6}{55}\right)\) \(e\left(\frac{313}{330}\right)\) \(e\left(\frac{139}{330}\right)\) \(e\left(\frac{263}{330}\right)\) \(e\left(\frac{38}{165}\right)\) \(e\left(\frac{86}{165}\right)\) \(e\left(\frac{19}{22}\right)\) \(e\left(\frac{53}{66}\right)\) \(e\left(\frac{49}{110}\right)\)
\(\chi_{87362}(71,\cdot)\) 18810 no 1 \(e\left(\frac{527}{1710}\right)\) \(e\left(\frac{7778}{9405}\right)\) \(e\left(\frac{1978}{3135}\right)\) \(e\left(\frac{527}{855}\right)\) \(e\left(\frac{5759}{18810}\right)\) \(e\left(\frac{2543}{18810}\right)\) \(e\left(\frac{728}{9405}\right)\) \(e\left(\frac{3533}{3762}\right)\) \(e\left(\frac{1022}{1881}\right)\) \(e\left(\frac{6151}{9405}\right)\) \(e\left(\frac{527}{570}\right)\) \(e\left(\frac{8543}{18810}\right)\) \(e\left(\frac{3023}{6270}\right)\) \(e\left(\frac{4307}{9405}\right)\) \(e\left(\frac{597}{2090}\right)\) \(e\left(\frac{642}{1045}\right)\) \(e\left(\frac{2467}{18810}\right)\) \(e\left(\frac{706}{1881}\right)\) \(e\left(\frac{278}{627}\right)\) \(e\left(\frac{7066}{9405}\right)\) \(e\left(\frac{821}{3135}\right)\) \(e\left(\frac{7253}{18810}\right)\) \(e\left(\frac{14189}{18810}\right)\) \(e\left(\frac{2923}{18810}\right)\) \(e\left(\frac{3733}{9405}\right)\) \(e\left(\frac{2326}{9405}\right)\) \(e\left(\frac{167}{1254}\right)\) \(e\left(\frac{2227}{3762}\right)\) \(e\left(\frac{281}{330}\right)\)
\(\chi_{87362}(73,\cdot)\) 18810 no 1 \(e\left(\frac{103}{855}\right)\) \(e\left(\frac{8159}{9405}\right)\) \(e\left(\frac{2993}{6270}\right)\) \(e\left(\frac{206}{855}\right)\) \(e\left(\frac{13457}{18810}\right)\) \(e\left(\frac{9292}{9405}\right)\) \(e\left(\frac{9283}{18810}\right)\) \(e\left(\frac{2249}{3762}\right)\) \(e\left(\frac{674}{1881}\right)\) \(e\left(\frac{6913}{9405}\right)\) \(e\left(\frac{103}{285}\right)\) \(e\left(\frac{5369}{18810}\right)\) \(e\left(\frac{487}{3135}\right)\) \(e\left(\frac{6487}{18810}\right)\) \(e\left(\frac{903}{1045}\right)\) \(e\left(\frac{1747}{2090}\right)\) \(e\left(\frac{12751}{18810}\right)\) \(e\left(\frac{1649}{3762}\right)\) \(e\left(\frac{68}{627}\right)\) \(e\left(\frac{4498}{9405}\right)\) \(e\left(\frac{2993}{3135}\right)\) \(e\left(\frac{11549}{18810}\right)\) \(e\left(\frac{7861}{9405}\right)\) \(e\left(\frac{362}{9405}\right)\) \(e\left(\frac{14903}{18810}\right)\) \(e\left(\frac{13511}{18810}\right)\) \(e\left(\frac{731}{1254}\right)\) \(e\left(\frac{1373}{1881}\right)\) \(e\left(\frac{79}{165}\right)\)
\(\chi_{87362}(75,\cdot)\) 2090 no 1 \(e\left(\frac{167}{190}\right)\) \(e\left(\frac{853}{1045}\right)\) \(e\left(\frac{514}{1045}\right)\) \(e\left(\frac{72}{95}\right)\) \(e\left(\frac{1609}{2090}\right)\) \(e\left(\frac{1453}{2090}\right)\) \(e\left(\frac{628}{1045}\right)\) \(e\left(\frac{155}{418}\right)\) \(e\left(\frac{126}{209}\right)\) \(e\left(\frac{661}{1045}\right)\) \(e\left(\frac{121}{190}\right)\) \(e\left(\frac{933}{2090}\right)\) \(e\left(\frac{1559}{2090}\right)\) \(e\left(\frac{322}{1045}\right)\) \(e\left(\frac{943}{2090}\right)\) \(e\left(\frac{678}{1045}\right)\) \(e\left(\frac{997}{2090}\right)\) \(e\left(\frac{67}{209}\right)\) \(e\left(\frac{120}{209}\right)\) \(e\left(\frac{101}{1045}\right)\) \(e\left(\frac{1028}{1045}\right)\) \(e\left(\frac{1003}{2090}\right)\) \(e\left(\frac{1589}{2090}\right)\) \(e\left(\frac{1643}{2090}\right)\) \(e\left(\frac{68}{1045}\right)\) \(e\left(\frac{261}{1045}\right)\) \(e\left(\frac{245}{418}\right)\) \(e\left(\frac{349}{418}\right)\) \(e\left(\frac{53}{110}\right)\)
\(\chi_{87362}(79,\cdot)\) 18810 no 1 \(e\left(\frac{1313}{1710}\right)\) \(e\left(\frac{1787}{9405}\right)\) \(e\left(\frac{2609}{6270}\right)\) \(e\left(\frac{458}{855}\right)\) \(e\left(\frac{7858}{9405}\right)\) \(e\left(\frac{18017}{18810}\right)\) \(e\left(\frac{18049}{18810}\right)\) \(e\left(\frac{346}{1881}\right)\) \(e\left(\frac{1799}{1881}\right)\) \(e\left(\frac{3574}{9405}\right)\) \(e\left(\frac{173}{570}\right)\) \(e\left(\frac{826}{9405}\right)\) \(e\left(\frac{3917}{6270}\right)\) \(e\left(\frac{11401}{18810}\right)\) \(e\left(\frac{2083}{2090}\right)\) \(e\left(\frac{1261}{2090}\right)\) \(e\left(\frac{5579}{9405}\right)\) \(e\left(\frac{2099}{3762}\right)\) \(e\left(\frac{455}{627}\right)\) \(e\left(\frac{1384}{9405}\right)\) \(e\left(\frac{2609}{3135}\right)\) \(e\left(\frac{6841}{9405}\right)\) \(e\left(\frac{5561}{18810}\right)\) \(e\left(\frac{5287}{18810}\right)\) \(e\left(\frac{5309}{18810}\right)\) \(e\left(\frac{17903}{18810}\right)\) \(e\left(\frac{16}{627}\right)\) \(e\left(\frac{1279}{3762}\right)\) \(e\left(\frac{239}{330}\right)\)
\(\chi_{87362}(81,\cdot)\) 855 no 1 \(e\left(\frac{493}{855}\right)\) \(e\left(\frac{829}{855}\right)\) \(e\left(\frac{74}{285}\right)\) \(e\left(\frac{131}{855}\right)\) \(e\left(\frac{56}{855}\right)\) \(e\left(\frac{467}{855}\right)\) \(e\left(\frac{184}{855}\right)\) \(e\left(\frac{143}{171}\right)\) \(e\left(\frac{61}{171}\right)\) \(e\left(\frac{803}{855}\right)\) \(e\left(\frac{208}{285}\right)\) \(e\left(\frac{32}{855}\right)\) \(e\left(\frac{227}{285}\right)\) \(e\left(\frac{196}{855}\right)\) \(e\left(\frac{53}{95}\right)\) \(e\left(\frac{61}{95}\right)\) \(e\left(\frac{448}{855}\right)\) \(e\left(\frac{92}{171}\right)\) \(e\left(\frac{7}{57}\right)\) \(e\left(\frac{743}{855}\right)\) \(e\left(\frac{148}{285}\right)\) \(e\left(\frac{677}{855}\right)\) \(e\left(\frac{116}{855}\right)\) \(e\left(\frac{562}{855}\right)\) \(e\left(\frac{314}{855}\right)\) \(e\left(\frac{353}{855}\right)\) \(e\left(\frac{2}{57}\right)\) \(e\left(\frac{55}{171}\right)\) \(e\left(\frac{14}{15}\right)\)
\(\chi_{87362}(83,\cdot)\) 6270 no 1 \(e\left(\frac{227}{285}\right)\) \(e\left(\frac{2146}{3135}\right)\) \(e\left(\frac{887}{2090}\right)\) \(e\left(\frac{169}{285}\right)\) \(e\left(\frac{3493}{6270}\right)\) \(e\left(\frac{1508}{3135}\right)\) \(e\left(\frac{5207}{6270}\right)\) \(e\left(\frac{277}{1254}\right)\) \(e\left(\frac{538}{627}\right)\) \(e\left(\frac{1157}{3135}\right)\) \(e\left(\frac{37}{95}\right)\) \(e\left(\frac{4561}{6270}\right)\) \(e\left(\frac{483}{1045}\right)\) \(e\left(\frac{683}{6270}\right)\) \(e\left(\frac{571}{1045}\right)\) \(e\left(\frac{739}{2090}\right)\) \(e\left(\frac{3149}{6270}\right)\) \(e\left(\frac{1093}{1254}\right)\) \(e\left(\frac{58}{209}\right)\) \(e\left(\frac{3062}{3135}\right)\) \(e\left(\frac{887}{1045}\right)\) \(e\left(\frac{3931}{6270}\right)\) \(e\left(\frac{269}{3135}\right)\) \(e\left(\frac{2743}{3135}\right)\) \(e\left(\frac{4837}{6270}\right)\) \(e\left(\frac{109}{6270}\right)\) \(e\left(\frac{101}{418}\right)\) \(e\left(\frac{415}{627}\right)\) \(e\left(\frac{36}{55}\right)\)
\(\chi_{87362}(85,\cdot)\) 18810 no 1 \(e\left(\frac{467}{855}\right)\) \(e\left(\frac{4096}{9405}\right)\) \(e\left(\frac{4417}{6270}\right)\) \(e\left(\frac{79}{855}\right)\) \(e\left(\frac{9913}{18810}\right)\) \(e\left(\frac{9233}{9405}\right)\) \(e\left(\frac{8387}{18810}\right)\) \(e\left(\frac{943}{3762}\right)\) \(e\left(\frac{1492}{1881}\right)\) \(e\left(\frac{8192}{9405}\right)\) \(e\left(\frac{182}{285}\right)\) \(e\left(\frac{14581}{18810}\right)\) \(e\left(\frac{2933}{3135}\right)\) \(e\left(\frac{2633}{18810}\right)\) \(e\left(\frac{237}{1045}\right)\) \(e\left(\frac{153}{2090}\right)\) \(e\left(\frac{8339}{18810}\right)\) \(e\left(\frac{2227}{3762}\right)\) \(e\left(\frac{331}{627}\right)\) \(e\left(\frac{3767}{9405}\right)\) \(e\left(\frac{1282}{3135}\right)\) \(e\left(\frac{18661}{18810}\right)\) \(e\left(\frac{6389}{9405}\right)\) \(e\left(\frac{1633}{9405}\right)\) \(e\left(\frac{1627}{18810}\right)\) \(e\left(\frac{14989}{18810}\right)\) \(e\left(\frac{1207}{1254}\right)\) \(e\left(\frac{109}{1881}\right)\) \(e\left(\frac{56}{165}\right)\)