| Label |
$n$ |
Polynomial |
$p$ |
$f$ |
$e$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible Artin slopes |
Visible Swan slopes |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
$\#\Aut(K/\Q_p)$ |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 3.2.9.42a19.1 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(18 t + 18\right) x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{5} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.5 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 18 t x^{7} + \left(3 t + 3\right) x^{6} + 9 x^{5} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.7 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(18 t + 9\right) x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{5} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.8 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(9 t + 18\right) x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{5} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.9 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(6 t + 6\right) x^{6} + 9 x^{5} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.10 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(18 t + 9\right) x^{7} + \left(6 t + 6\right) x^{6} + 18 x^{5} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.11 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(18 t + 9\right) x^{7} + \left(3 t + 3\right) x^{6} + 18 x^{5} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.12 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 9 x^{7} + \left(3 t + 3\right) x^{6} + 18 x^{5} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.13 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(9 t + 18\right) x^{7} + \left(3 t + 3\right) x^{6} + 18 x^{5} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.14 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 9 t x^{7} + \left(6 t + 6\right) x^{6} + 18 x^{5} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.17 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 18 t x^{7} + \left(3 t + 3\right) x^{6} + 18 x^{5} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.20 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(9 t + 9\right) x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.24 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(6 t + 6\right) x^{6} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.26 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 9 t x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.33 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 12$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 18 x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{5} + 9 x^{4} + 21$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.34 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 12$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(9 t + 9\right) x^{7} + \left(3 t + 3\right) x^{6} + 9 x^{5} + 9 x^{4} + 21$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.35 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 12$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(18 t + 9\right) x^{7} + \left(3 t + 3\right) x^{6} + 9 x^{5} + 9 x^{4} + 21$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.37 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 12$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(9 t + 9\right) x^{7} + \left(3 t + 3\right) x^{6} + 18 x^{5} + 9 x^{4} + 21$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.39 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 12$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(6 t + 6\right) x^{6} + 18 x^{5} + 9 x^{4} + 21$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.42 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 12$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 18 x^{7} + \left(3 t + 3\right) x^{6} + 18 x^{5} + 9 x^{4} + 21$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.45 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 12$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(3 t + 3\right) x^{6} + 18 x^{5} + 9 x^{4} + 21$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.46 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 12$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 9 t x^{7} + \left(3 t + 3\right) x^{6} + 9 x^{4} + 21$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.47 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 12$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 18 t x^{7} + \left(3 t + 3\right) x^{6} + 9 x^{4} + 21$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.48 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 12$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 18 x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{4} + 21$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.49 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 12$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(18 t + 9\right) x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{4} + 21$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.50 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 12$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(9 t + 18\right) x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{4} + 21$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.53 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 12$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 9 t x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{4} + 21$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.55 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 21$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(18 t + 18\right) x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{5} + 9 x^{4} + 3$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.58 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 21$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 18 t x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{5} + 9 x^{4} + 3$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.60 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 21$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(3 t + 3\right) x^{6} + 9 x^{5} + 9 x^{4} + 3$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.62 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 21$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(18 t + 9\right) x^{7} + \left(3 t + 3\right) x^{6} + 9 x^{5} + 9 x^{4} + 3$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.66 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 21$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 9 x^{7} + \left(3 t + 3\right) x^{6} + 18 x^{5} + 9 x^{4} + 3$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.67 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 21$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(9 t + 18\right) x^{7} + \left(3 t + 3\right) x^{6} + 18 x^{5} + 9 x^{4} + 3$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.71 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 21$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 18 t x^{7} + \left(3 t + 3\right) x^{6} + 18 x^{5} + 9 x^{4} + 3$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.72 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 21$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 18 x^{7} + \left(6 t + 6\right) x^{6} + 18 x^{5} + 9 x^{4} + 3$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.74 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 21$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 18 t x^{7} + \left(3 t + 3\right) x^{6} + 9 x^{4} + 3$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.75 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 21$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(3 t + 3\right) x^{6} + 9 x^{4} + 3$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.77 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 21$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(9 t + 18\right) x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{4} + 3$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a19.78 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 21$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(6 t + 6\right) x^{6} + 9 x^{4} + 3$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + (2 t + 2)$ |
undefined |
| 3.2.9.42a22.1 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 9 x^{7} + \left(3 t + 3\right) x^{6} + 9 x^{5} + \left(9 t + 9\right) x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.42a22.3 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(18 t + 9\right) x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{5} + \left(18 t + 18\right) x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.42a22.6 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(18 t + 18\right) x^{7} + \left(6 t + 6\right) x^{6} + 9 x^{5} + \left(18 t + 18\right) x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.42a22.9 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 18 t x^{7} + \left(3 t + 3\right) x^{6} + 9 x^{5} + \left(9 t + 9\right) x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.42a22.10 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(3 t + 3\right) x^{6} + 18 x^{5} + \left(9 t + 9\right) x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.42a22.14 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 15\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(6 t + 6\right) x^{6} + 18 x^{5} + \left(18 t + 18\right) x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.42a22.17 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(9 t + 18\right) x^{7} + \left(3 t + 3\right) x^{6} + 18 x^{5} + \left(9 t + 9\right) x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.42a22.18 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 24\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(18 t + 18\right) x^{7} + \left(6 t + 6\right) x^{6} + 18 x^{5} + \left(18 t + 18\right) x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.42a22.19 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 9 t x^{7} + \left(6 t + 6\right) x^{6} + \left(18 t + 18\right) x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.42a22.20 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(15 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(9 t + 18\right) x^{7} + \left(3 t + 3\right) x^{6} + \left(9 t + 9\right) x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.42a22.21 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + \left(24 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{4} + 3$ |
$3$ |
$2$ |
$9$ |
$42$ |
$\He_3^2:S_3^2$ (as 18T650) |
not computed |
not computed |
$[2, \frac{17}{6}]$ |
$[1,\frac{11}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{2} + 2 t + 2$ |
$x^{9} + \left(18 t + 18\right) x^{7} + \left(3 t + 3\right) x^{6} + \left(9 t + 9\right) x^{4} + 12$ |
$[13, 6, 0]$ |
$[1, 1]$ |
$z^6 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
