| Label |
Base field |
Conductor norm |
Conductor label |
Isogeny class |
Weierstrass coefficients |
| 19.1-a1 |
6.6.820125.1
|
19 |
19.1 |
19.1-a |
\( \bigl[\frac{16}{19} a^{5} + \frac{2}{19} a^{4} - \frac{139}{19} a^{3} - \frac{79}{19} a^{2} + \frac{127}{19} a + \frac{33}{19}\) , \( \frac{17}{19} a^{5} - \frac{5}{19} a^{4} - \frac{156}{19} a^{3} - \frac{21}{19} a^{2} + \frac{167}{19} a + \frac{3}{19}\) , \( \frac{27}{19} a^{5} + \frac{1}{19} a^{4} - \frac{231}{19} a^{3} - \frac{125}{19} a^{2} + \frac{187}{19} a + \frac{64}{19}\) , \( \frac{168}{19} a^{5} - \frac{188}{19} a^{4} - \frac{1317}{19} a^{3} + \frac{795}{19} a^{2} + \frac{735}{19} a - \frac{290}{19}\) , \( -\frac{303}{19} a^{5} + \frac{88}{19} a^{4} + \frac{2757}{19} a^{3} + \frac{305}{19} a^{2} - \frac{3171}{19} a + \frac{521}{19}\bigr] \) |
| 19.1-a2 |
6.6.820125.1
|
19 |
19.1 |
19.1-a |
\( \bigl[\frac{11}{19} a^{5} - \frac{1}{19} a^{4} - \frac{92}{19} a^{3} - \frac{46}{19} a^{2} + \frac{60}{19} a + \frac{31}{19}\) , \( -\frac{7}{19} a^{5} - \frac{8}{19} a^{4} + \frac{62}{19} a^{3} + \frac{88}{19} a^{2} - \frac{33}{19} a - \frac{37}{19}\) , \( \frac{18}{19} a^{5} + \frac{7}{19} a^{4} - \frac{154}{19} a^{3} - \frac{134}{19} a^{2} + \frac{93}{19} a + \frac{87}{19}\) , \( -\frac{22}{19} a^{5} + \frac{2}{19} a^{4} + \frac{184}{19} a^{3} + \frac{111}{19} a^{2} - \frac{139}{19} a - \frac{81}{19}\) , \( -\frac{26}{19} a^{5} + \frac{11}{19} a^{4} + \frac{195}{19} a^{3} + \frac{88}{19} a^{2} - \frac{166}{19} a - \frac{94}{19}\bigr] \) |
| 19.2-a1 |
6.6.820125.1
|
19 |
19.2 |
19.2-a |
\( \bigl[\frac{18}{19} a^{5} + \frac{7}{19} a^{4} - \frac{154}{19} a^{3} - \frac{134}{19} a^{2} + \frac{93}{19} a + \frac{68}{19}\) , \( -\frac{4}{19} a^{5} + \frac{9}{19} a^{4} + \frac{30}{19} a^{3} - \frac{61}{19} a^{2} - \frac{8}{19} a + \frac{44}{19}\) , \( \frac{10}{19} a^{5} + \frac{6}{19} a^{4} - \frac{94}{19} a^{3} - \frac{85}{19} a^{2} + \frac{115}{19} a + \frac{61}{19}\) , \( \frac{11}{19} a^{5} - \frac{20}{19} a^{4} - \frac{73}{19} a^{3} + \frac{68}{19} a^{2} + \frac{136}{19} a + \frac{50}{19}\) , \( \frac{4}{19} a^{5} + \frac{29}{19} a^{4} - \frac{87}{19} a^{3} - \frac{129}{19} a^{2} + \frac{122}{19} a + \frac{89}{19}\bigr] \) |
| 19.2-a2 |
6.6.820125.1
|
19 |
19.2 |
19.2-a |
\( \bigl[\frac{11}{19} a^{5} - \frac{1}{19} a^{4} - \frac{92}{19} a^{3} - \frac{46}{19} a^{2} + \frac{60}{19} a + \frac{50}{19}\) , \( -\frac{17}{19} a^{5} + \frac{5}{19} a^{4} + \frac{137}{19} a^{3} + \frac{40}{19} a^{2} - \frac{53}{19} a - \frac{41}{19}\) , \( \frac{10}{19} a^{5} + \frac{6}{19} a^{4} - \frac{94}{19} a^{3} - \frac{85}{19} a^{2} + \frac{96}{19} a + \frac{61}{19}\) , \( -\frac{30}{19} a^{5} - \frac{37}{19} a^{4} + \frac{263}{19} a^{3} + \frac{426}{19} a^{2} - \frac{79}{19} a - \frac{126}{19}\) , \( -\frac{65}{19} a^{5} - \frac{39}{19} a^{4} + \frac{535}{19} a^{3} + \frac{581}{19} a^{2} - \frac{35}{19} a - \frac{102}{19}\bigr] \) |
| 19.3-a1 |
6.6.820125.1
|
19 |
19.3 |
19.3-a |
\( \bigl[\frac{11}{19} a^{5} - \frac{1}{19} a^{4} - \frac{92}{19} a^{3} - \frac{46}{19} a^{2} + \frac{60}{19} a + \frac{50}{19}\) , \( \frac{5}{19} a^{5} + \frac{3}{19} a^{4} - \frac{47}{19} a^{3} - \frac{33}{19} a^{2} + \frac{29}{19} a - \frac{17}{19}\) , \( \frac{8}{19} a^{5} + \frac{1}{19} a^{4} - \frac{60}{19} a^{3} - \frac{49}{19} a^{2} + \frac{16}{19} a + \frac{26}{19}\) , \( \frac{5}{19} a^{5} + \frac{3}{19} a^{4} - \frac{47}{19} a^{3} - \frac{52}{19} a^{2} + \frac{67}{19} a + \frac{59}{19}\) , \( \frac{43}{19} a^{5} + \frac{3}{19} a^{4} - \frac{370}{19} a^{3} - \frac{242}{19} a^{2} + \frac{295}{19} a + \frac{173}{19}\bigr] \) |
| 19.3-a2 |
6.6.820125.1
|
19 |
19.3 |
19.3-a |
\( \bigl[\frac{6}{19} a^{5} - \frac{4}{19} a^{4} - \frac{45}{19} a^{3} + \frac{6}{19} a^{2} + \frac{12}{19} a - \frac{9}{19}\) , \( \frac{4}{19} a^{5} + \frac{10}{19} a^{4} - \frac{49}{19} a^{3} - \frac{91}{19} a^{2} + \frac{103}{19} a + \frac{32}{19}\) , \( \frac{9}{19} a^{5} - \frac{6}{19} a^{4} - \frac{77}{19} a^{3} + \frac{9}{19} a^{2} + \frac{75}{19} a + \frac{15}{19}\) , \( \frac{21}{19} a^{5} - \frac{33}{19} a^{4} - \frac{167}{19} a^{3} + \frac{173}{19} a^{2} + \frac{137}{19} a - \frac{60}{19}\) , \( -\frac{43}{19} a^{5} + \frac{35}{19} a^{4} + \frac{370}{19} a^{3} - \frac{81}{19} a^{2} - \frac{295}{19} a + \frac{55}{19}\bigr] \) |
| 19.4-a1 |
6.6.820125.1
|
19 |
19.4 |
19.4-a |
\( \bigl[\frac{9}{19} a^{5} - \frac{6}{19} a^{4} - \frac{77}{19} a^{3} + \frac{9}{19} a^{2} + \frac{75}{19} a + \frac{15}{19}\) , \( -\frac{1}{19} a^{5} + \frac{7}{19} a^{4} + \frac{17}{19} a^{3} - \frac{58}{19} a^{2} - \frac{78}{19} a + \frac{49}{19}\) , \( \frac{15}{19} a^{5} - \frac{10}{19} a^{4} - \frac{122}{19} a^{3} + \frac{15}{19} a^{2} + \frac{106}{19} a + \frac{6}{19}\) , \( -\frac{33}{19} a^{5} + \frac{3}{19} a^{4} + \frac{295}{19} a^{3} + \frac{119}{19} a^{2} - \frac{275}{19} a - \frac{55}{19}\) , \( -\frac{36}{19} a^{5} - \frac{14}{19} a^{4} + \frac{346}{19} a^{3} + \frac{211}{19} a^{2} - \frac{319}{19} a - \frac{155}{19}\bigr] \) |
| 19.4-a2 |
6.6.820125.1
|
19 |
19.4 |
19.4-a |
\( \bigl[\frac{2}{19} a^{5} + \frac{5}{19} a^{4} - \frac{15}{19} a^{3} - \frac{55}{19} a^{2} - \frac{15}{19} a + \frac{35}{19}\) , \( \frac{4}{19} a^{5} + \frac{10}{19} a^{4} - \frac{49}{19} a^{3} - \frac{91}{19} a^{2} + \frac{103}{19} a + \frac{32}{19}\) , \( \frac{16}{19} a^{5} + \frac{2}{19} a^{4} - \frac{139}{19} a^{3} - \frac{79}{19} a^{2} + \frac{127}{19} a + \frac{33}{19}\) , \( \frac{22}{19} a^{5} - \frac{21}{19} a^{4} - \frac{165}{19} a^{3} + \frac{41}{19} a^{2} + \frac{63}{19} a + \frac{43}{19}\) , \( \frac{4}{19} a^{5} + \frac{10}{19} a^{4} - \frac{68}{19} a^{3} - \frac{34}{19} a^{2} + \frac{65}{19} a + \frac{13}{19}\bigr] \) |
| 19.5-a1 |
6.6.820125.1
|
19 |
19.5 |
19.5-a |
\( \bigl[\frac{8}{19} a^{5} + \frac{1}{19} a^{4} - \frac{60}{19} a^{3} - \frac{49}{19} a^{2} - \frac{3}{19} a + \frac{26}{19}\) , \( -\frac{18}{19} a^{5} - \frac{7}{19} a^{4} + \frac{154}{19} a^{3} + \frac{134}{19} a^{2} - \frac{112}{19} a - \frac{49}{19}\) , \( \frac{18}{19} a^{5} + \frac{7}{19} a^{4} - \frac{154}{19} a^{3} - \frac{134}{19} a^{2} + \frac{93}{19} a + \frac{87}{19}\) , \( -\frac{189}{19} a^{5} + \frac{202}{19} a^{4} + \frac{1427}{19} a^{3} - \frac{721}{19} a^{2} - \frac{568}{19} a + \frac{141}{19}\) , \( \frac{3001}{19} a^{5} - \frac{3527}{19} a^{4} - \frac{22973}{19} a^{3} + \frac{15104}{19} a^{2} + \frac{9935}{19} a - \frac{2744}{19}\bigr] \) |
| 19.5-a2 |
6.6.820125.1
|
19 |
19.5 |
19.5-a |
\( \bigl[\frac{11}{19} a^{5} - \frac{1}{19} a^{4} - \frac{92}{19} a^{3} - \frac{46}{19} a^{2} + \frac{60}{19} a + \frac{31}{19}\) , \( \frac{27}{19} a^{5} + \frac{1}{19} a^{4} - \frac{231}{19} a^{3} - \frac{125}{19} a^{2} + \frac{149}{19} a + \frac{64}{19}\) , \( \frac{6}{19} a^{5} - \frac{4}{19} a^{4} - \frac{45}{19} a^{3} + \frac{6}{19} a^{2} + \frac{12}{19} a - \frac{9}{19}\) , \( a^{5} + a^{4} - 9 a^{3} - 13 a^{2} + 6 a + 11\) , \( -\frac{6}{19} a^{5} + \frac{23}{19} a^{4} + \frac{45}{19} a^{3} - \frac{177}{19} a^{2} - \frac{69}{19} a + \frac{161}{19}\bigr] \) |
| 19.6-a1 |
6.6.820125.1
|
19 |
19.6 |
19.6-a |
\( \bigl[\frac{2}{19} a^{5} + \frac{5}{19} a^{4} - \frac{15}{19} a^{3} - \frac{55}{19} a^{2} - \frac{15}{19} a + \frac{35}{19}\) , \( -\frac{14}{19} a^{5} + \frac{3}{19} a^{4} + \frac{124}{19} a^{3} + \frac{24}{19} a^{2} - \frac{142}{19} a - \frac{17}{19}\) , \( \frac{18}{19} a^{5} + \frac{7}{19} a^{4} - \frac{154}{19} a^{3} - \frac{134}{19} a^{2} + \frac{112}{19} a + \frac{68}{19}\) , \( -\frac{26}{19} a^{5} + \frac{30}{19} a^{4} + \frac{233}{19} a^{3} - \frac{140}{19} a^{2} - \frac{299}{19} a + \frac{20}{19}\) , \( -\frac{67}{19} a^{5} - \frac{44}{19} a^{4} + \frac{569}{19} a^{3} + \frac{598}{19} a^{2} - \frac{134}{19} a - \frac{99}{19}\bigr] \) |
| 19.6-a2 |
6.6.820125.1
|
19 |
19.6 |
19.6-a |
\( \bigl[\frac{18}{19} a^{5} + \frac{7}{19} a^{4} - \frac{154}{19} a^{3} - \frac{134}{19} a^{2} + \frac{93}{19} a + \frac{68}{19}\) , \( \frac{3}{19} a^{5} - \frac{2}{19} a^{4} - \frac{32}{19} a^{3} + \frac{3}{19} a^{2} + \frac{44}{19} a - \frac{14}{19}\) , \( a\) , \( \frac{298}{19} a^{5} - \frac{167}{19} a^{4} - \frac{2596}{19} a^{3} + \frac{260}{19} a^{2} + \frac{2610}{19} a - \frac{447}{19}\) , \( \frac{956}{19} a^{5} - \frac{536}{19} a^{4} - \frac{8310}{19} a^{3} + \frac{823}{19} a^{2} + \frac{8163}{19} a - \frac{1662}{19}\bigr] \) |
| 64.1-a1 |
6.6.820125.1
|
64 |
64.1 |
64.1-a |
\( \bigl[1\) , \( -\frac{8}{19} a^{5} - \frac{1}{19} a^{4} + \frac{60}{19} a^{3} + \frac{49}{19} a^{2} + \frac{3}{19} a - \frac{45}{19}\) , \( \frac{8}{19} a^{5} + \frac{1}{19} a^{4} - \frac{60}{19} a^{3} - \frac{49}{19} a^{2} - \frac{3}{19} a + \frac{45}{19}\) , \( -\frac{2}{19} a^{5} - \frac{5}{19} a^{4} + \frac{15}{19} a^{3} + \frac{55}{19} a^{2} + \frac{15}{19} a - \frac{2277}{19}\) , \( \frac{314}{19} a^{5} + \frac{44}{19} a^{4} - \frac{2355}{19} a^{3} - \frac{1966}{19} a^{2} - \frac{132}{19} a - \frac{7995}{19}\bigr] \) |
| 64.1-a2 |
6.6.820125.1
|
64 |
64.1 |
64.1-a |
\( \bigl[\frac{8}{19} a^{5} + \frac{1}{19} a^{4} - \frac{60}{19} a^{3} - \frac{49}{19} a^{2} - \frac{3}{19} a + \frac{26}{19}\) , \( \frac{4}{19} a^{5} - \frac{9}{19} a^{4} - \frac{30}{19} a^{3} + \frac{61}{19} a^{2} + \frac{27}{19} a - \frac{25}{19}\) , \( \frac{6}{19} a^{5} - \frac{4}{19} a^{4} - \frac{45}{19} a^{3} + \frac{6}{19} a^{2} + \frac{12}{19} a - \frac{9}{19}\) , \( \frac{8}{19} a^{5} + \frac{1}{19} a^{4} - \frac{60}{19} a^{3} - \frac{49}{19} a^{2} - \frac{3}{19} a + \frac{7}{19}\) , \( 0\bigr] \) |
| 64.1-a3 |
6.6.820125.1
|
64 |
64.1 |
64.1-a |
\( \bigl[\frac{8}{19} a^{5} + \frac{1}{19} a^{4} - \frac{60}{19} a^{3} - \frac{49}{19} a^{2} - \frac{3}{19} a + \frac{26}{19}\) , \( \frac{4}{19} a^{5} - \frac{9}{19} a^{4} - \frac{30}{19} a^{3} + \frac{61}{19} a^{2} + \frac{27}{19} a - \frac{25}{19}\) , \( \frac{6}{19} a^{5} - \frac{4}{19} a^{4} - \frac{45}{19} a^{3} + \frac{6}{19} a^{2} + \frac{12}{19} a - \frac{9}{19}\) , \( \frac{148}{19} a^{5} + \frac{161}{19} a^{4} - \frac{1110}{19} a^{3} - \frac{2189}{19} a^{2} - \frac{483}{19} a + \frac{177}{19}\) , \( 104 a^{5} + 84 a^{4} - 780 a^{3} - 1276 a^{2} - 252 a + 118\bigr] \) |
| 64.1-a4 |
6.6.820125.1
|
64 |
64.1 |
64.1-a |
\( \bigl[1\) , \( -\frac{8}{19} a^{5} - \frac{1}{19} a^{4} + \frac{60}{19} a^{3} + \frac{49}{19} a^{2} + \frac{3}{19} a - \frac{45}{19}\) , \( \frac{8}{19} a^{5} + \frac{1}{19} a^{4} - \frac{60}{19} a^{3} - \frac{49}{19} a^{2} - \frac{3}{19} a + \frac{45}{19}\) , \( -\frac{2}{19} a^{5} - \frac{5}{19} a^{4} + \frac{15}{19} a^{3} + \frac{55}{19} a^{2} + \frac{15}{19} a + \frac{3}{19}\) , \( -\frac{6}{19} a^{5} + \frac{4}{19} a^{4} + \frac{45}{19} a^{3} - \frac{6}{19} a^{2} - \frac{12}{19} a - \frac{29}{19}\bigr] \) |
| 64.1-b1 |
6.6.820125.1
|
64 |
64.1 |
64.1-b |
\( \bigl[\frac{18}{19} a^{5} + \frac{7}{19} a^{4} - \frac{154}{19} a^{3} - \frac{134}{19} a^{2} + \frac{93}{19} a + \frac{68}{19}\) , \( \frac{6}{19} a^{5} + \frac{15}{19} a^{4} - \frac{64}{19} a^{3} - \frac{146}{19} a^{2} + \frac{50}{19} a + \frac{67}{19}\) , \( \frac{21}{19} a^{5} + \frac{5}{19} a^{4} - \frac{186}{19} a^{3} - \frac{131}{19} a^{2} + \frac{156}{19} a + \frac{92}{19}\) , \( \frac{73}{19} a^{5} + \frac{59}{19} a^{4} - \frac{614}{19} a^{3} - \frac{782}{19} a^{2} + \frac{89}{19} a + \frac{185}{19}\) , \( -\frac{46}{19} a^{5} - \frac{134}{19} a^{4} + \frac{364}{19} a^{3} + \frac{1246}{19} a^{2} + \frac{554}{19} a - \frac{7}{19}\bigr] \) |
| 64.1-b2 |
6.6.820125.1
|
64 |
64.1 |
64.1-b |
\( \bigl[\frac{18}{19} a^{5} + \frac{7}{19} a^{4} - \frac{154}{19} a^{3} - \frac{134}{19} a^{2} + \frac{93}{19} a + \frac{68}{19}\) , \( \frac{6}{19} a^{5} + \frac{15}{19} a^{4} - \frac{64}{19} a^{3} - \frac{146}{19} a^{2} + \frac{50}{19} a + \frac{67}{19}\) , \( \frac{21}{19} a^{5} + \frac{5}{19} a^{4} - \frac{186}{19} a^{3} - \frac{131}{19} a^{2} + \frac{156}{19} a + \frac{92}{19}\) , \( \frac{3523}{19} a^{5} + \frac{6499}{19} a^{4} - \frac{28674}{19} a^{3} - \frac{67252}{19} a^{2} - \frac{17046}{19} a + \frac{5935}{19}\) , \( \frac{125447}{19} a^{5} + \frac{150949}{19} a^{4} - \frac{1017242}{19} a^{3} - \frac{1731271}{19} a^{2} - \frac{355187}{19} a + \frac{158323}{19}\bigr] \) |
| 71.1-a1 |
6.6.820125.1
|
71 |
71.1 |
71.1-a |
\( \bigl[\frac{10}{19} a^{5} + \frac{6}{19} a^{4} - \frac{94}{19} a^{3} - \frac{85}{19} a^{2} + \frac{115}{19} a + \frac{61}{19}\) , \( -\frac{8}{19} a^{5} - \frac{1}{19} a^{4} + \frac{60}{19} a^{3} + \frac{49}{19} a^{2} + \frac{3}{19} a - \frac{45}{19}\) , \( \frac{9}{19} a^{5} - \frac{6}{19} a^{4} - \frac{77}{19} a^{3} + \frac{9}{19} a^{2} + \frac{94}{19} a + \frac{15}{19}\) , \( \frac{33}{19} a^{5} + \frac{54}{19} a^{4} - \frac{276}{19} a^{3} - \frac{537}{19} a^{2} - \frac{238}{19} a - \frac{2}{19}\) , \( -\frac{92}{19} a^{5} - \frac{78}{19} a^{4} + \frac{728}{19} a^{3} + \frac{1048}{19} a^{2} + \frac{177}{19} a - \frac{109}{19}\bigr] \) |
| 71.1-a2 |
6.6.820125.1
|
71 |
71.1 |
71.1-a |
\( \bigl[\frac{6}{19} a^{5} - \frac{4}{19} a^{4} - \frac{45}{19} a^{3} + \frac{6}{19} a^{2} + \frac{31}{19} a + \frac{10}{19}\) , \( \frac{8}{19} a^{5} + \frac{1}{19} a^{4} - \frac{60}{19} a^{3} - \frac{49}{19} a^{2} + \frac{16}{19} a + \frac{45}{19}\) , \( \frac{2}{19} a^{5} + \frac{5}{19} a^{4} - \frac{15}{19} a^{3} - \frac{55}{19} a^{2} - \frac{15}{19} a + \frac{35}{19}\) , \( -\frac{194}{19} a^{5} - \frac{67}{19} a^{4} + \frac{1778}{19} a^{3} + \frac{1440}{19} a^{2} - \frac{1509}{19} a - \frac{1153}{19}\) , \( \frac{629}{19} a^{5} + \frac{138}{19} a^{4} - \frac{5582}{19} a^{3} - \frac{3627}{19} a^{2} + \frac{4811}{19} a + \frac{2828}{19}\bigr] \) |
| 71.1-a3 |
6.6.820125.1
|
71 |
71.1 |
71.1-a |
\( \bigl[\frac{16}{19} a^{5} + \frac{2}{19} a^{4} - \frac{139}{19} a^{3} - \frac{79}{19} a^{2} + \frac{108}{19} a + \frac{33}{19}\) , \( -\frac{18}{19} a^{5} - \frac{7}{19} a^{4} + \frac{154}{19} a^{3} + \frac{134}{19} a^{2} - \frac{112}{19} a - \frac{87}{19}\) , \( 0\) , \( -\frac{32}{19} a^{5} - \frac{4}{19} a^{4} + \frac{316}{19} a^{3} + \frac{120}{19} a^{2} - \frac{368}{19} a - \frac{180}{19}\) , \( \frac{204}{19} a^{5} + \frac{16}{19} a^{4} - \frac{1682}{19} a^{3} - \frac{1240}{19} a^{2} + \frac{1130}{19} a + \frac{739}{19}\bigr] \) |
| 71.1-a4 |
6.6.820125.1
|
71 |
71.1 |
71.1-a |
\( \bigl[\frac{12}{19} a^{5} + \frac{11}{19} a^{4} - \frac{109}{19} a^{3} - \frac{140}{19} a^{2} + \frac{81}{19} a + \frac{96}{19}\) , \( -\frac{18}{19} a^{5} - \frac{7}{19} a^{4} + \frac{154}{19} a^{3} + \frac{134}{19} a^{2} - \frac{93}{19} a - \frac{87}{19}\) , \( \frac{25}{19} a^{5} - \frac{4}{19} a^{4} - \frac{216}{19} a^{3} - \frac{70}{19} a^{2} + \frac{202}{19} a + \frac{48}{19}\) , \( -\frac{757}{19} a^{5} - \frac{496}{19} a^{4} + \frac{6979}{19} a^{3} + \frac{7166}{19} a^{2} - \frac{5637}{19} a - \frac{5980}{19}\) , \( \frac{5448}{19} a^{5} + \frac{2353}{19} a^{4} - \frac{49163}{19} a^{3} - \frac{42698}{19} a^{2} + \frac{40878}{19} a + \frac{35281}{19}\bigr] \) |
| 71.2-a1 |
6.6.820125.1
|
71 |
71.2 |
71.2-a |
\( \bigl[\frac{25}{19} a^{5} - \frac{4}{19} a^{4} - \frac{216}{19} a^{3} - \frac{70}{19} a^{2} + \frac{183}{19} a + \frac{48}{19}\) , \( -\frac{23}{19} a^{5} + \frac{9}{19} a^{4} + \frac{201}{19} a^{3} + \frac{15}{19} a^{2} - \frac{198}{19} a - \frac{13}{19}\) , \( \frac{21}{19} a^{5} + \frac{5}{19} a^{4} - \frac{186}{19} a^{3} - \frac{131}{19} a^{2} + \frac{156}{19} a + \frac{73}{19}\) , \( -\frac{70}{19} a^{5} + \frac{72}{19} a^{4} + \frac{506}{19} a^{3} - \frac{222}{19} a^{2} + \frac{12}{19} a - \frac{237}{19}\) , \( \frac{212}{19} a^{5} - \frac{306}{19} a^{4} - \frac{1533}{19} a^{3} + \frac{1466}{19} a^{2} + \frac{310}{19} a - \frac{242}{19}\bigr] \) |
| 71.2-a2 |
6.6.820125.1
|
71 |
71.2 |
71.2-a |
\( \bigl[\frac{12}{19} a^{5} + \frac{11}{19} a^{4} - \frac{109}{19} a^{3} - \frac{140}{19} a^{2} + \frac{81}{19} a + \frac{77}{19}\) , \( -\frac{13}{19} a^{5} + \frac{15}{19} a^{4} + \frac{107}{19} a^{3} - \frac{70}{19} a^{2} - \frac{83}{19} a + \frac{67}{19}\) , \( \frac{17}{19} a^{5} - \frac{5}{19} a^{4} - \frac{137}{19} a^{3} - \frac{40}{19} a^{2} + \frac{72}{19} a + \frac{41}{19}\) , \( \frac{20}{19} a^{5} + \frac{31}{19} a^{4} - \frac{188}{19} a^{3} - \frac{341}{19} a^{2} + \frac{154}{19} a + \frac{236}{19}\) , \( \frac{24}{19} a^{5} + \frac{41}{19} a^{4} - \frac{237}{19} a^{3} - \frac{432}{19} a^{2} + \frac{238}{19} a + \frac{249}{19}\bigr] \) |
| 71.2-a3 |
6.6.820125.1
|
71 |
71.2 |
71.2-a |
\( \bigl[\frac{12}{19} a^{5} + \frac{11}{19} a^{4} - \frac{109}{19} a^{3} - \frac{140}{19} a^{2} + \frac{100}{19} a + \frac{96}{19}\) , \( \frac{4}{19} a^{5} + \frac{10}{19} a^{4} - \frac{49}{19} a^{3} - \frac{91}{19} a^{2} + \frac{103}{19} a + \frac{32}{19}\) , \( a + 1\) , \( \frac{928}{19} a^{5} - \frac{378}{19} a^{4} - \frac{8157}{19} a^{3} - \frac{364}{19} a^{2} + \frac{8107}{19} a - \frac{822}{19}\) , \( -\frac{5578}{19} a^{5} + \frac{3497}{19} a^{4} + \frac{48067}{19} a^{3} - \frac{7725}{19} a^{2} - \frac{46097}{19} a + \frac{11179}{19}\bigr] \) |
| 71.2-a4 |
6.6.820125.1
|
71 |
71.2 |
71.2-a |
\( \bigl[\frac{17}{19} a^{5} - \frac{5}{19} a^{4} - \frac{137}{19} a^{3} - \frac{40}{19} a^{2} + \frac{91}{19} a + \frac{41}{19}\) , \( -\frac{2}{19} a^{5} - \frac{5}{19} a^{4} + \frac{34}{19} a^{3} + \frac{36}{19} a^{2} - \frac{118}{19} a - \frac{16}{19}\) , \( \frac{12}{19} a^{5} + \frac{11}{19} a^{4} - \frac{109}{19} a^{3} - \frac{140}{19} a^{2} + \frac{100}{19} a + \frac{96}{19}\) , \( \frac{985}{19} a^{5} + \frac{306}{19} a^{4} - \frac{7834}{19} a^{3} - \frac{6558}{19} a^{2} - \frac{614}{19} a + \frac{318}{19}\) , \( \frac{1133}{19} a^{5} - \frac{4910}{19} a^{4} - \frac{7880}{19} a^{3} + \frac{33775}{19} a^{2} + \frac{12735}{19} a - \frac{4350}{19}\bigr] \) |
| 71.3-a1 |
6.6.820125.1
|
71 |
71.3 |
71.3-a |
\( \bigl[\frac{21}{19} a^{5} + \frac{5}{19} a^{4} - \frac{186}{19} a^{3} - \frac{131}{19} a^{2} + \frac{175}{19} a + \frac{92}{19}\) , \( -\frac{7}{19} a^{5} + \frac{11}{19} a^{4} + \frac{43}{19} a^{3} - \frac{45}{19} a^{2} + \frac{43}{19} a + \frac{20}{19}\) , \( \frac{27}{19} a^{5} + \frac{1}{19} a^{4} - \frac{231}{19} a^{3} - \frac{125}{19} a^{2} + \frac{187}{19} a + \frac{83}{19}\) , \( -\frac{56}{19} a^{5} - \frac{64}{19} a^{4} + \frac{553}{19} a^{3} + \frac{723}{19} a^{2} - \frac{530}{19} a - \frac{505}{19}\) , \( -\frac{142}{19} a^{5} + \frac{6}{19} a^{4} + \frac{1255}{19} a^{3} + \frac{523}{19} a^{2} - \frac{1063}{19} a - \frac{433}{19}\bigr] \) |
| 71.3-a2 |
6.6.820125.1
|
71 |
71.3 |
71.3-a |
\( \bigl[\frac{10}{19} a^{5} + \frac{6}{19} a^{4} - \frac{94}{19} a^{3} - \frac{85}{19} a^{2} + \frac{115}{19} a + \frac{42}{19}\) , \( \frac{10}{19} a^{5} + \frac{6}{19} a^{4} - \frac{94}{19} a^{3} - \frac{85}{19} a^{2} + \frac{115}{19} a + \frac{61}{19}\) , \( \frac{2}{19} a^{5} + \frac{5}{19} a^{4} - \frac{15}{19} a^{3} - \frac{55}{19} a^{2} - \frac{15}{19} a + \frac{54}{19}\) , \( -\frac{51}{19} a^{5} + \frac{72}{19} a^{4} + \frac{392}{19} a^{3} - \frac{374}{19} a^{2} - \frac{121}{19} a + \frac{124}{19}\) , \( -\frac{244}{19} a^{5} + \frac{188}{19} a^{4} + \frac{1925}{19} a^{3} - \frac{415}{19} a^{2} - \frac{1077}{19} a - \frac{204}{19}\bigr] \) |
| 71.3-a3 |
6.6.820125.1
|
71 |
71.3 |
71.3-a |
\( \bigl[\frac{10}{19} a^{5} + \frac{6}{19} a^{4} - \frac{94}{19} a^{3} - \frac{85}{19} a^{2} + \frac{115}{19} a + \frac{42}{19}\) , \( \frac{10}{19} a^{5} + \frac{6}{19} a^{4} - \frac{94}{19} a^{3} - \frac{85}{19} a^{2} + \frac{115}{19} a + \frac{61}{19}\) , \( \frac{2}{19} a^{5} + \frac{5}{19} a^{4} - \frac{15}{19} a^{3} - \frac{55}{19} a^{2} - \frac{15}{19} a + \frac{54}{19}\) , \( -\frac{1}{19} a^{5} + \frac{7}{19} a^{4} + \frac{17}{19} a^{3} - \frac{39}{19} a^{2} - \frac{21}{19} a + \frac{49}{19}\) , \( -\frac{69}{19} a^{5} - \frac{11}{19} a^{4} + \frac{622}{19} a^{3} + \frac{406}{19} a^{2} - \frac{518}{19} a - \frac{343}{19}\bigr] \) |
| 71.3-a4 |
6.6.820125.1
|
71 |
71.3 |
71.3-a |
\( \bigl[\frac{25}{19} a^{5} - \frac{4}{19} a^{4} - \frac{216}{19} a^{3} - \frac{70}{19} a^{2} + \frac{183}{19} a + \frac{29}{19}\) , \( a^{5} - 9 a^{3} - 4 a^{2} + 9 a + 2\) , \( a\) , \( \frac{391}{19} a^{5} - \frac{818}{19} a^{4} - \frac{1384}{19} a^{3} + \frac{486}{19} a^{2} + \frac{782}{19} a + \frac{107}{19}\) , \( -\frac{6457}{19} a^{5} + \frac{16091}{19} a^{4} + \frac{18151}{19} a^{3} - \frac{19928}{19} a^{2} - \frac{8468}{19} a + \frac{2798}{19}\bigr] \) |
| 71.4-a1 |
6.6.820125.1
|
71 |
71.4 |
71.4-a |
\( \bigl[\frac{16}{19} a^{5} + \frac{2}{19} a^{4} - \frac{139}{19} a^{3} - \frac{79}{19} a^{2} + \frac{108}{19} a + \frac{52}{19}\) , \( -\frac{2}{19} a^{5} - \frac{5}{19} a^{4} + \frac{34}{19} a^{3} + \frac{36}{19} a^{2} - \frac{80}{19} a - \frac{16}{19}\) , \( \frac{12}{19} a^{5} + \frac{11}{19} a^{4} - \frac{109}{19} a^{3} - \frac{140}{19} a^{2} + \frac{81}{19} a + \frac{96}{19}\) , \( \frac{240}{19} a^{5} - \frac{84}{19} a^{4} - \frac{2085}{19} a^{3} - \frac{197}{19} a^{2} + \frac{1848}{19} a - \frac{113}{19}\) , \( -\frac{351}{19} a^{5} + \frac{196}{19} a^{4} + \frac{3041}{19} a^{3} - \frac{313}{19} a^{2} - \frac{2849}{19} a + \frac{802}{19}\bigr] \) |
| 71.4-a2 |
6.6.820125.1
|
71 |
71.4 |
71.4-a |
\( \bigl[\frac{2}{19} a^{5} + \frac{5}{19} a^{4} - \frac{15}{19} a^{3} - \frac{55}{19} a^{2} + \frac{4}{19} a + \frac{35}{19}\) , \( \frac{3}{19} a^{5} - \frac{2}{19} a^{4} - \frac{32}{19} a^{3} + \frac{3}{19} a^{2} + \frac{44}{19} a - \frac{14}{19}\) , \( \frac{21}{19} a^{5} + \frac{5}{19} a^{4} - \frac{186}{19} a^{3} - \frac{131}{19} a^{2} + \frac{175}{19} a + \frac{73}{19}\) , \( -\frac{15}{19} a^{5} + \frac{10}{19} a^{4} + \frac{141}{19} a^{3} - \frac{15}{19} a^{2} - \frac{220}{19} a - \frac{82}{19}\) , \( -\frac{15}{19} a^{5} + \frac{10}{19} a^{4} + \frac{141}{19} a^{3} - \frac{15}{19} a^{2} - \frac{239}{19} a - \frac{120}{19}\bigr] \) |
| 71.4-a3 |
6.6.820125.1
|
71 |
71.4 |
71.4-a |
\( \bigl[\frac{2}{19} a^{5} + \frac{5}{19} a^{4} - \frac{15}{19} a^{3} - \frac{55}{19} a^{2} + \frac{4}{19} a + \frac{35}{19}\) , \( \frac{3}{19} a^{5} - \frac{2}{19} a^{4} - \frac{32}{19} a^{3} + \frac{3}{19} a^{2} + \frac{44}{19} a - \frac{14}{19}\) , \( \frac{21}{19} a^{5} + \frac{5}{19} a^{4} - \frac{186}{19} a^{3} - \frac{131}{19} a^{2} + \frac{175}{19} a + \frac{73}{19}\) , \( -\frac{75}{19} a^{5} - \frac{45}{19} a^{4} + \frac{686}{19} a^{3} + \frac{685}{19} a^{2} - \frac{625}{19} a - \frac{657}{19}\) , \( -\frac{230}{19} a^{5} - \frac{62}{19} a^{4} + \frac{2105}{19} a^{3} + \frac{1537}{19} a^{2} - \frac{1942}{19} a - \frac{1441}{19}\bigr] \) |
| 71.4-a4 |
6.6.820125.1
|
71 |
71.4 |
71.4-a |
\( \bigl[\frac{16}{19} a^{5} + \frac{2}{19} a^{4} - \frac{139}{19} a^{3} - \frac{79}{19} a^{2} + \frac{108}{19} a + \frac{52}{19}\) , \( -\frac{2}{19} a^{5} - \frac{5}{19} a^{4} + \frac{34}{19} a^{3} + \frac{36}{19} a^{2} - \frac{80}{19} a - \frac{16}{19}\) , \( \frac{12}{19} a^{5} + \frac{11}{19} a^{4} - \frac{109}{19} a^{3} - \frac{140}{19} a^{2} + \frac{81}{19} a + \frac{96}{19}\) , \( -\frac{135}{19} a^{5} - \frac{214}{19} a^{4} + \frac{1250}{19} a^{3} + \frac{2373}{19} a^{2} - \frac{707}{19} a - \frac{1878}{19}\) , \( -\frac{367}{19} a^{5} + \frac{80}{19} a^{4} + \frac{3142}{19} a^{3} + \frac{830}{19} a^{2} - \frac{2444}{19} a + \frac{66}{19}\bigr] \) |
| 71.5-a1 |
6.6.820125.1
|
71 |
71.5 |
71.5-a |
\( \bigl[\frac{11}{19} a^{5} - \frac{1}{19} a^{4} - \frac{92}{19} a^{3} - \frac{46}{19} a^{2} + \frac{79}{19} a + \frac{31}{19}\) , \( -\frac{11}{19} a^{5} + \frac{1}{19} a^{4} + \frac{111}{19} a^{3} + \frac{27}{19} a^{2} - \frac{155}{19} a - \frac{12}{19}\) , \( \frac{16}{19} a^{5} + \frac{2}{19} a^{4} - \frac{139}{19} a^{3} - \frac{79}{19} a^{2} + \frac{127}{19} a + \frac{33}{19}\) , \( -42 a^{5} + 58 a^{4} + 317 a^{3} - 268 a^{2} - 167 a + 41\) , \( \frac{5478}{19} a^{5} - \frac{6939}{19} a^{4} - \frac{42415}{19} a^{3} + \frac{32990}{19} a^{2} + \frac{20399}{19} a - \frac{5500}{19}\bigr] \) |
| 71.5-a2 |
6.6.820125.1
|
71 |
71.5 |
71.5-a |
\( \bigl[\frac{12}{19} a^{5} + \frac{11}{19} a^{4} - \frac{109}{19} a^{3} - \frac{140}{19} a^{2} + \frac{81}{19} a + \frac{96}{19}\) , \( -\frac{7}{19} a^{5} + \frac{11}{19} a^{4} + \frac{43}{19} a^{3} - \frac{45}{19} a^{2} + \frac{43}{19} a + \frac{20}{19}\) , \( \frac{10}{19} a^{5} + \frac{6}{19} a^{4} - \frac{94}{19} a^{3} - \frac{85}{19} a^{2} + \frac{96}{19} a + \frac{61}{19}\) , \( -\frac{345}{19} a^{5} + \frac{477}{19} a^{4} + \frac{2597}{19} a^{3} - \frac{2340}{19} a^{2} - \frac{937}{19} a + \frac{603}{19}\) , \( \frac{3463}{19} a^{5} - \frac{3930}{19} a^{4} - \frac{26419}{19} a^{3} + \frac{15756}{19} a^{2} + \frac{11695}{19} a - \frac{2506}{19}\bigr] \) |
| 71.5-a3 |
6.6.820125.1
|
71 |
71.5 |
71.5-a |
\( \bigl[\frac{12}{19} a^{5} + \frac{11}{19} a^{4} - \frac{109}{19} a^{3} - \frac{140}{19} a^{2} + \frac{81}{19} a + \frac{96}{19}\) , \( -\frac{7}{19} a^{5} + \frac{11}{19} a^{4} + \frac{43}{19} a^{3} - \frac{45}{19} a^{2} + \frac{43}{19} a + \frac{20}{19}\) , \( \frac{10}{19} a^{5} + \frac{6}{19} a^{4} - \frac{94}{19} a^{3} - \frac{85}{19} a^{2} + \frac{96}{19} a + \frac{61}{19}\) , \( \frac{50}{19} a^{5} - \frac{8}{19} a^{4} - \frac{413}{19} a^{3} - \frac{235}{19} a^{2} + \frac{423}{19} a + \frac{248}{19}\) , \( \frac{181}{19} a^{5} - \frac{146}{19} a^{4} - \frac{1348}{19} a^{3} + \frac{29}{19} a^{2} + \frac{913}{19} a + \frac{289}{19}\bigr] \) |
| 71.5-a4 |
6.6.820125.1
|
71 |
71.5 |
71.5-a |
\( \bigl[\frac{11}{19} a^{5} - \frac{1}{19} a^{4} - \frac{92}{19} a^{3} - \frac{46}{19} a^{2} + \frac{79}{19} a + \frac{31}{19}\) , \( -\frac{11}{19} a^{5} + \frac{1}{19} a^{4} + \frac{111}{19} a^{3} + \frac{27}{19} a^{2} - \frac{155}{19} a - \frac{12}{19}\) , \( \frac{16}{19} a^{5} + \frac{2}{19} a^{4} - \frac{139}{19} a^{3} - \frac{79}{19} a^{2} + \frac{127}{19} a + \frac{33}{19}\) , \( -\frac{63}{19} a^{5} + \frac{42}{19} a^{4} + \frac{558}{19} a^{3} - \frac{177}{19} a^{2} - \frac{373}{19} a + \frac{9}{19}\) , \( \frac{29}{19} a^{5} - \frac{51}{19} a^{4} - \frac{246}{19} a^{3} + \frac{371}{19} a^{2} + \frac{115}{19} a - \frac{72}{19}\bigr] \) |
| 71.6-a1 |
6.6.820125.1
|
71 |
71.6 |
71.6-a |
\( \bigl[\frac{2}{19} a^{5} + \frac{5}{19} a^{4} - \frac{15}{19} a^{3} - \frac{55}{19} a^{2} + \frac{4}{19} a + \frac{54}{19}\) , \( \frac{15}{19} a^{5} + \frac{9}{19} a^{4} - \frac{141}{19} a^{3} - \frac{137}{19} a^{2} + \frac{163}{19} a + \frac{82}{19}\) , \( \frac{12}{19} a^{5} + \frac{11}{19} a^{4} - \frac{109}{19} a^{3} - \frac{140}{19} a^{2} + \frac{81}{19} a + \frac{96}{19}\) , \( -\frac{130}{19} a^{5} + \frac{169}{19} a^{4} + \frac{1032}{19} a^{3} - \frac{909}{19} a^{2} - \frac{1020}{19} a + \frac{214}{19}\) , \( \frac{5}{19} a^{5} - \frac{358}{19} a^{4} + \frac{219}{19} a^{3} + \frac{2513}{19} a^{2} - \frac{788}{19} a - \frac{74}{19}\bigr] \) |
| 71.6-a2 |
6.6.820125.1
|
71 |
71.6 |
71.6-a |
\( \bigl[\frac{12}{19} a^{5} + \frac{11}{19} a^{4} - \frac{109}{19} a^{3} - \frac{140}{19} a^{2} + \frac{100}{19} a + \frac{77}{19}\) , \( -\frac{8}{19} a^{5} - \frac{1}{19} a^{4} + \frac{60}{19} a^{3} + \frac{49}{19} a^{2} + \frac{3}{19} a - \frac{26}{19}\) , \( \frac{11}{19} a^{5} - \frac{1}{19} a^{4} - \frac{92}{19} a^{3} - \frac{46}{19} a^{2} + \frac{60}{19} a + \frac{31}{19}\) , \( \frac{18}{19} a^{5} + \frac{26}{19} a^{4} - \frac{192}{19} a^{3} - \frac{267}{19} a^{2} + \frac{131}{19} a - \frac{8}{19}\) , \( -5 a^{3} - 2 a^{2} + 18 a - 4\bigr] \) |
| 71.6-a3 |
6.6.820125.1
|
71 |
71.6 |
71.6-a |
\( \bigl[\frac{12}{19} a^{5} + \frac{11}{19} a^{4} - \frac{109}{19} a^{3} - \frac{140}{19} a^{2} + \frac{100}{19} a + \frac{77}{19}\) , \( -\frac{8}{19} a^{5} - \frac{1}{19} a^{4} + \frac{60}{19} a^{3} + \frac{49}{19} a^{2} + \frac{3}{19} a - \frac{26}{19}\) , \( \frac{11}{19} a^{5} - \frac{1}{19} a^{4} - \frac{92}{19} a^{3} - \frac{46}{19} a^{2} + \frac{60}{19} a + \frac{31}{19}\) , \( 2 a^{5} - a^{4} - 18 a^{3} + 2 a^{2} + 19 a - 2\) , \( \frac{34}{19} a^{5} - \frac{10}{19} a^{4} - \frac{312}{19} a^{3} - \frac{23}{19} a^{2} + \frac{315}{19} a - \frac{13}{19}\bigr] \) |
| 71.6-a4 |
6.6.820125.1
|
71 |
71.6 |
71.6-a |
\( \bigl[\frac{2}{19} a^{5} + \frac{5}{19} a^{4} - \frac{15}{19} a^{3} - \frac{55}{19} a^{2} + \frac{4}{19} a + \frac{54}{19}\) , \( \frac{15}{19} a^{5} + \frac{9}{19} a^{4} - \frac{141}{19} a^{3} - \frac{137}{19} a^{2} + \frac{163}{19} a + \frac{82}{19}\) , \( \frac{12}{19} a^{5} + \frac{11}{19} a^{4} - \frac{109}{19} a^{3} - \frac{140}{19} a^{2} + \frac{81}{19} a + \frac{96}{19}\) , \( \frac{5}{19} a^{5} + \frac{79}{19} a^{4} - \frac{123}{19} a^{3} - \frac{584}{19} a^{2} + \frac{390}{19} a + \frac{154}{19}\) , \( \frac{356}{19} a^{5} - \frac{402}{19} a^{4} - \frac{2689}{19} a^{3} + \frac{1667}{19} a^{2} + \frac{1035}{19} a - \frac{135}{19}\bigr] \) |
| 81.1-a1 |
6.6.820125.1
|
81 |
81.1 |
81.1-a |
\( \bigl[\frac{2}{19} a^{5} + \frac{5}{19} a^{4} - \frac{15}{19} a^{3} - \frac{55}{19} a^{2} - \frac{15}{19} a + \frac{54}{19}\) , \( -\frac{4}{19} a^{5} - \frac{10}{19} a^{4} + \frac{49}{19} a^{3} + \frac{91}{19} a^{2} - \frac{103}{19} a - \frac{51}{19}\) , \( \frac{16}{19} a^{5} + \frac{2}{19} a^{4} - \frac{139}{19} a^{3} - \frac{79}{19} a^{2} + \frac{127}{19} a + \frac{33}{19}\) , \( -3 a^{5} - a^{4} + 28 a^{3} + 19 a^{2} - 30 a - 9\) , \( -\frac{48}{19} a^{5} - \frac{6}{19} a^{4} + \frac{436}{19} a^{3} + \frac{218}{19} a^{2} - \frac{438}{19} a - \frac{118}{19}\bigr] \) |
| 81.1-a2 |
6.6.820125.1
|
81 |
81.1 |
81.1-a |
\( \bigl[1\) , \( -1\) , \( \frac{9}{19} a^{5} - \frac{6}{19} a^{4} - \frac{77}{19} a^{3} + \frac{9}{19} a^{2} + \frac{75}{19} a + \frac{15}{19}\) , \( -\frac{18}{19} a^{5} + \frac{12}{19} a^{4} + \frac{154}{19} a^{3} - \frac{18}{19} a^{2} - \frac{150}{19} a - \frac{30}{19}\) , \( \frac{9}{19} a^{5} - \frac{6}{19} a^{4} - \frac{77}{19} a^{3} + \frac{9}{19} a^{2} + \frac{75}{19} a + \frac{15}{19}\bigr] \) |
| 81.1-a3 |
6.6.820125.1
|
81 |
81.1 |
81.1-a |
\( \bigl[\frac{2}{19} a^{5} + \frac{5}{19} a^{4} - \frac{15}{19} a^{3} - \frac{55}{19} a^{2} - \frac{15}{19} a + \frac{54}{19}\) , \( \frac{14}{19} a^{5} - \frac{3}{19} a^{4} - \frac{124}{19} a^{3} - \frac{24}{19} a^{2} + \frac{142}{19} a - \frac{2}{19}\) , \( \frac{18}{19} a^{5} + \frac{7}{19} a^{4} - \frac{154}{19} a^{3} - \frac{134}{19} a^{2} + \frac{112}{19} a + \frac{68}{19}\) , \( \frac{47}{19} a^{5} - \frac{25}{19} a^{4} - \frac{400}{19} a^{3} + \frac{28}{19} a^{2} + \frac{360}{19} a - \frac{61}{19}\) , \( \frac{43}{19} a^{5} - \frac{16}{19} a^{4} - \frac{370}{19} a^{3} - \frac{52}{19} a^{2} + \frac{333}{19} a - \frac{17}{19}\bigr] \) |
| 81.1-a4 |
6.6.820125.1
|
81 |
81.1 |
81.1-a |
\( \bigl[1\) , \( -1\) , \( \frac{9}{19} a^{5} - \frac{6}{19} a^{4} - \frac{77}{19} a^{3} + \frac{9}{19} a^{2} + \frac{75}{19} a - \frac{4}{19}\) , \( \frac{9}{19} a^{5} - \frac{6}{19} a^{4} - \frac{77}{19} a^{3} + \frac{9}{19} a^{2} + \frac{75}{19} a - \frac{4}{19}\) , \( -\frac{9}{19} a^{5} + \frac{6}{19} a^{4} + \frac{77}{19} a^{3} - \frac{9}{19} a^{2} - \frac{75}{19} a + \frac{4}{19}\bigr] \) |
| 81.1-a5 |
6.6.820125.1
|
81 |
81.1 |
81.1-a |
\( \bigl[\frac{9}{19} a^{5} - \frac{6}{19} a^{4} - \frac{77}{19} a^{3} + \frac{9}{19} a^{2} + \frac{75}{19} a + \frac{15}{19}\) , \( -\frac{9}{19} a^{5} + \frac{6}{19} a^{4} + \frac{77}{19} a^{3} - \frac{9}{19} a^{2} - \frac{75}{19} a + \frac{23}{19}\) , \( 1\) , \( -\frac{126}{19} a^{5} + \frac{84}{19} a^{4} + \frac{1078}{19} a^{3} - \frac{126}{19} a^{2} - \frac{1050}{19} a - \frac{438}{19}\) , \( -\frac{288}{19} a^{5} + \frac{192}{19} a^{4} + \frac{2464}{19} a^{3} - \frac{288}{19} a^{2} - \frac{2400}{19} a - \frac{841}{19}\bigr] \) |
| 81.1-a6 |
6.6.820125.1
|
81 |
81.1 |
81.1-a |
\( \bigl[\frac{25}{19} a^{5} - \frac{4}{19} a^{4} - \frac{216}{19} a^{3} - \frac{70}{19} a^{2} + \frac{202}{19} a + \frac{48}{19}\) , \( -\frac{1}{19} a^{5} + \frac{7}{19} a^{4} + \frac{17}{19} a^{3} - \frac{58}{19} a^{2} - \frac{59}{19} a + \frac{11}{19}\) , \( \frac{15}{19} a^{5} - \frac{10}{19} a^{4} - \frac{122}{19} a^{3} + \frac{15}{19} a^{2} + \frac{106}{19} a - \frac{13}{19}\) , \( -\frac{390}{19} a^{5} - \frac{139}{19} a^{4} + \frac{3514}{19} a^{3} + \frac{2840}{19} a^{2} - \frac{2813}{19} a - \frac{2398}{19}\) , \( \frac{1395}{19} a^{5} + \frac{1}{19} a^{4} - \frac{12334}{19} a^{3} - \frac{5635}{19} a^{2} + \frac{10903}{19} a + \frac{4168}{19}\bigr] \) |
| 81.1-a7 |
6.6.820125.1
|
81 |
81.1 |
81.1-a |
\( \bigl[\frac{9}{19} a^{5} - \frac{6}{19} a^{4} - \frac{77}{19} a^{3} + \frac{9}{19} a^{2} + \frac{75}{19} a - \frac{4}{19}\) , \( \frac{9}{19} a^{5} - \frac{6}{19} a^{4} - \frac{77}{19} a^{3} + \frac{9}{19} a^{2} + \frac{75}{19} a - \frac{23}{19}\) , \( \frac{9}{19} a^{5} - \frac{6}{19} a^{4} - \frac{77}{19} a^{3} + \frac{9}{19} a^{2} + \frac{75}{19} a + \frac{15}{19}\) , \( \frac{108}{19} a^{5} - \frac{72}{19} a^{4} - \frac{924}{19} a^{3} + \frac{108}{19} a^{2} + \frac{900}{19} a - \frac{314}{19}\) , \( 9 a^{5} - 6 a^{4} - 77 a^{3} + 9 a^{2} + 75 a - 10\bigr] \) |
| 81.1-a8 |
6.6.820125.1
|
81 |
81.1 |
81.1-a |
\( \bigl[\frac{27}{19} a^{5} + \frac{1}{19} a^{4} - \frac{231}{19} a^{3} - \frac{125}{19} a^{2} + \frac{187}{19} a + \frac{64}{19}\) , \( \frac{1}{19} a^{5} - \frac{7}{19} a^{4} + \frac{2}{19} a^{3} + \frac{39}{19} a^{2} - \frac{17}{19} a - \frac{11}{19}\) , \( \frac{2}{19} a^{5} + \frac{5}{19} a^{4} - \frac{15}{19} a^{3} - \frac{55}{19} a^{2} - \frac{15}{19} a + \frac{54}{19}\) , \( \frac{522}{19} a^{5} - \frac{348}{19} a^{4} - \frac{4523}{19} a^{3} + \frac{959}{19} a^{2} + \frac{4502}{19} a - \frac{1410}{19}\) , \( -\frac{2239}{19} a^{5} + \frac{1005}{19} a^{4} + \frac{19519}{19} a^{3} + \frac{269}{19} a^{2} - \frac{18747}{19} a + \frac{1829}{19}\bigr] \) |
