| 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 |
| 2.3.6.24a1.1 |
$18$ |
$( x^{3} + x + 1 )^{6} + 2 ( x^{3} + x + 1 )^{3} + 2$ |
$2$ |
$3$ |
$6$ |
$24$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$3$ |
$[2]$ |
$[1]$ |
$[2]_{3}^{6}$ |
$[1]_{3}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + t + 1$ |
$x^{6} + 2 x^{3} + 2$ |
$[3, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + (t^2 + t)$ |
$[3, 6]$ |
| 2.3.6.24a1.2 |
$18$ |
$( x^{3} + x + 1 )^{6} + 2 ( x^{3} + x + 1 )^{3} + 6$ |
$2$ |
$3$ |
$6$ |
$24$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$3$ |
$[2]$ |
$[1]$ |
$[2]_{3}^{6}$ |
$[1]_{3}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + t + 1$ |
$x^{6} + 2 x^{3} + 6$ |
$[3, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + (t^2 + t)$ |
$[3, 12]$ |
| 2.3.6.33a1.1 |
$18$ |
$( x^{3} + x + 1 )^{6} + 2$ |
$2$ |
$3$ |
$6$ |
$33$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$3$ |
$[3]$ |
$[2]$ |
$[3]_{3}^{6}$ |
$[2]_{3}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + t + 1$ |
$x^{6} + 2$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + t$ |
$[3, 9]$ |
| 2.3.6.33a1.2 |
$18$ |
$( x^{3} + x + 1 )^{6} + 10$ |
$2$ |
$3$ |
$6$ |
$33$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$3$ |
$[3]$ |
$[2]$ |
$[3]_{3}^{6}$ |
$[2]_{3}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + t + 1$ |
$x^{6} + 10$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + t$ |
$[3, 9]$ |
| 2.3.6.33a1.25 |
$18$ |
$( x^{3} + x + 1 )^{6} + 4 ( x^{3} + x + 1 )^{3} + 2$ |
$2$ |
$3$ |
$6$ |
$33$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$3$ |
$[3]$ |
$[2]$ |
$[3]_{3}^{6}$ |
$[2]_{3}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + t + 1$ |
$x^{6} + 4 x^{3} + 2$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + t$ |
$[3, 9]$ |
| 2.3.6.33a1.26 |
$18$ |
$( x^{3} + x + 1 )^{6} + 4 ( x^{3} + x + 1 )^{3} + 10$ |
$2$ |
$3$ |
$6$ |
$33$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$3$ |
$[3]$ |
$[2]$ |
$[3]_{3}^{6}$ |
$[2]_{3}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + t + 1$ |
$x^{6} + 4 x^{3} + 10$ |
$[6, 0]$ |
$[2, 1]$ |
$z^4 + z^2 + 1,z + t$ |
$[3, 9]$ |
| 3.6.3.30a1.89 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 18 ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$30$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[\frac{5}{2}]$ |
$[\frac{3}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + 18 x + 3$ |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.3.6.21a12.1 |
$18$ |
$( x^{3} + 2 x + 1 )^{6} + \left(3 x^{2} + 6 x + 3\right) ( x^{3} + 2 x + 1 )^{2} + 3 ( x^{3} + 2 x + 1 ) + 3 x$ |
$3$ |
$3$ |
$6$ |
$21$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t^{3} + 2 t + 1$ |
$x^{6} + \left(3 t^{2} + 6 t + 3\right) x^{2} + 3 t$ |
$[2, 0]$ |
$[1, 2]$ |
$z^3 + 2,2 z^2 + (2 t^2 + t)$ |
undefined |
| 3.3.6.33a2.63 |
$18$ |
$( x^{3} + 2 x + 1 )^{6} + \left(9 x + 18\right) ( x^{3} + 2 x + 1 )^{2} + \left(9 x + 3\right) ( x^{3} + 2 x + 1 ) + 3 x$ |
$3$ |
$3$ |
$6$ |
$33$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[\frac{5}{2}]$ |
$[\frac{3}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t^{3} + 2 t + 1$ |
$x^{6} + 9 t x^{2} + 3 t$ |
$[6, 0]$ |
$[1, 2]$ |
$z^3 + 2,2 z^2 + (2 t^2 + 1)$ |
undefined |
| 3.2.9.30b2.15 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 21$ |
$3$ |
$2$ |
$9$ |
$30$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[\frac{3}{2}, 2]$ |
$[\frac{1}{2},1]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 6 x^{8} + 3 x^{7} + 6 x^{3} + 21$ |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b6.15 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{3} + 21$ |
$3$ |
$2$ |
$9$ |
$30$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[\frac{3}{2}, 2]$ |
$[\frac{1}{2},1]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 6 x^{8} + 6 x^{7} + 3 x^{3} + 21$ |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (2 t + 2),(2 t + 2) z^2 + (t + 1)$ |
undefined |
| 3.2.9.38c6.9 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 18 ( x^{2} + 2 x + 2 )^{2} + 12$ |
$3$ |
$2$ |
$9$ |
$38$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[2, \frac{5}{2}]$ |
$[1,\frac{3}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 6 x^{6} + 9 x^{4} + 18 x^{2} + 12$ |
$[11, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + (t + 1)$ |
undefined |
| 3.2.9.38c6.13 |
$18$ |
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{2} + 21$ |
$3$ |
$2$ |
$9$ |
$38$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[2, \frac{5}{2}]$ |
$[1,\frac{3}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t^{2} + 2 t + 2$ |
$x^{9} + 6 x^{6} + 18 x^{2} + 21$ |
$[11, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + (t + 1)$ |
undefined |
| 3.1.18.31c3.14 |
$18$ |
$x^{18} + 6 x^{16} + 3 x^{14} + 6 x^{6} + 12$ |
$3$ |
$1$ |
$18$ |
$31$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[\frac{3}{2}, 2]$ |
$[\frac{1}{2},1]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t + 1$ |
$x^{18} + 6 x^{16} + 3 x^{14} + 6 x^{6} + 12$ |
$[14, 6, 0]$ |
$[1, 2, 1]$ |
$z^9 + 2,2 z^6 + 2,2 z^2 + 1$ |
$[1, 5, 27]$ |
| 3.1.18.31c3.15 |
$18$ |
$x^{18} + 6 x^{16} + 3 x^{14} + 6 x^{6} + 21$ |
$3$ |
$1$ |
$18$ |
$31$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[\frac{3}{2}, 2]$ |
$[\frac{1}{2},1]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t + 1$ |
$x^{18} + 6 x^{16} + 3 x^{14} + 6 x^{6} + 21$ |
$[14, 6, 0]$ |
$[1, 2, 1]$ |
$z^9 + 2,2 z^6 + 2,2 z^2 + 1$ |
$[1, 5, 27]$ |
| 3.1.18.31c3.25 |
$18$ |
$x^{18} + 3 x^{16} + 6 x^{14} + 3 x^{6} + 6$ |
$3$ |
$1$ |
$18$ |
$31$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[\frac{3}{2}, 2]$ |
$[\frac{1}{2},1]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t + 1$ |
$x^{18} + 3 x^{16} + 6 x^{14} + 3 x^{6} + 6$ |
$[14, 6, 0]$ |
$[1, 2, 1]$ |
$z^9 + 2,2 z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.18.33a1.17 |
$18$ |
$x^{18} + 3 x^{16} + 15$ |
$3$ |
$1$ |
$18$ |
$33$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t + 1$ |
$x^{18} + 3 x^{16} + 15$ |
$[16, 16, 0]$ |
$[1, 2]$ |
$z^9 + 2,2 z^8 + 1$ |
undefined |
| 3.1.18.39c1.43 |
$18$ |
$x^{18} + 3 x^{12} + 9 x^{4} + 6$ |
$3$ |
$1$ |
$18$ |
$39$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[2, \frac{5}{2}]$ |
$[1,\frac{3}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t + 1$ |
$x^{18} + 3 x^{12} + 9 x^{4} + 6$ |
$[22, 12, 0]$ |
$[1, 1, 2]$ |
$z^9 + 2,2 z^6 + 1,z^2 + 1$ |
undefined |
| 3.1.18.39c1.44 |
$18$ |
$x^{18} + 3 x^{12} + 9 x^{8} + 9 x^{4} + 6$ |
$3$ |
$1$ |
$18$ |
$39$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[2, \frac{5}{2}]$ |
$[1,\frac{3}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t + 1$ |
$x^{18} + 3 x^{12} + 9 x^{8} + 9 x^{4} + 6$ |
$[22, 12, 0]$ |
$[1, 1, 2]$ |
$z^9 + 2,2 z^6 + 1,z^2 + 1$ |
undefined |
| 3.1.18.39c1.63 |
$18$ |
$x^{18} + 3 x^{12} + 18 x^{8} + 9 x^{4} + 24$ |
$3$ |
$1$ |
$18$ |
$39$ |
$S_3 \times C_6$ (as 18T6) |
not computed |
not computed |
$[2, \frac{5}{2}]$ |
$[1,\frac{3}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t + 1$ |
$x^{18} + 3 x^{12} + 18 x^{8} + 9 x^{4} + 24$ |
$[22, 12, 0]$ |
$[1, 1, 2]$ |
$z^9 + 2,2 z^6 + 1,z^2 + 1$ |
undefined |
| 5.3.6.15a1.1 |
$18$ |
$( x^{3} + 3 x + 3 )^{6} + 5 x$ |
$5$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 3 t + 3$ |
$x^{6} + 5 t$ |
$[0]$ |
$[2]$ |
$z^5 + z^4 + 1$ |
undefined |
| 5.3.6.15a1.2 |
$18$ |
$( x^{3} + 3 x + 3 )^{6} + 5$ |
$5$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 3 t + 3$ |
$x^{6} + 5$ |
$[0]$ |
$[2]$ |
$z^5 + z^4 + 1$ |
undefined |
| 11.3.6.15a1.1 |
$18$ |
$( x^{3} + 2 x + 9 )^{6} + 11 x$ |
$11$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 2 t + 9$ |
$x^{6} + 11 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 4 z^3 + 9 z^2 + 4 z + 6$ |
undefined |
| 11.3.6.15a1.2 |
$18$ |
$( x^{3} + 2 x + 9 )^{6} + 11$ |
$11$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 2 t + 9$ |
$x^{6} + 11$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 4 z^3 + 9 z^2 + 4 z + 6$ |
undefined |
| 17.3.6.15a1.1 |
$18$ |
$( x^{3} + x + 14 )^{6} + 17 x$ |
$17$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + t + 14$ |
$x^{6} + 17 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 3 z^2 + 15 z + 6$ |
undefined |
| 17.3.6.15a1.2 |
$18$ |
$( x^{3} + x + 14 )^{6} + 17$ |
$17$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + t + 14$ |
$x^{6} + 17$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 3 z^2 + 15 z + 6$ |
undefined |
| 23.3.6.15a1.1 |
$18$ |
$( x^{3} + 2 x + 18 )^{6} + 23 x$ |
$23$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 2 t + 18$ |
$x^{6} + 23 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 23.3.6.15a1.2 |
$18$ |
$( x^{3} + 2 x + 18 )^{6} + 23$ |
$23$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 2 t + 18$ |
$x^{6} + 23$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 29.3.6.15a1.1 |
$18$ |
$( x^{3} + 2 x + 27 )^{6} + 29 x$ |
$29$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 2 t + 27$ |
$x^{6} + 29 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 29.3.6.15a1.2 |
$18$ |
$( x^{3} + 2 x + 27 )^{6} + 29$ |
$29$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 2 t + 27$ |
$x^{6} + 29$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 41.3.6.15a1.1 |
$18$ |
$( x^{3} + x + 35 )^{6} + 41 x$ |
$41$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + t + 35$ |
$x^{6} + 41 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 41.3.6.15a1.2 |
$18$ |
$( x^{3} + x + 35 )^{6} + 41$ |
$41$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + t + 35$ |
$x^{6} + 41$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 47.3.6.15a1.1 |
$18$ |
$( x^{3} + 3 x + 42 )^{6} + 47 x$ |
$47$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 3 t + 42$ |
$x^{6} + 47 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 47.3.6.15a1.2 |
$18$ |
$( x^{3} + 3 x + 42 )^{6} + 47$ |
$47$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 3 t + 42$ |
$x^{6} + 47$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 53.3.6.15a1.1 |
$18$ |
$( x^{3} + 3 x + 51 )^{6} + 53 x$ |
$53$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 3 t + 51$ |
$x^{6} + 53 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 53.3.6.15a1.2 |
$18$ |
$( x^{3} + 3 x + 51 )^{6} + 53$ |
$53$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 3 t + 51$ |
$x^{6} + 53$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 59.3.6.15a1.1 |
$18$ |
$( x^{3} + 5 x + 57 )^{6} + 59 x$ |
$59$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 5 t + 57$ |
$x^{6} + 59 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 59.3.6.15a1.2 |
$18$ |
$( x^{3} + 5 x + 57 )^{6} + 59$ |
$59$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 5 t + 57$ |
$x^{6} + 59$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 71.3.6.15a1.1 |
$18$ |
$( x^{3} + 4 x + 64 )^{6} + 71 x$ |
$71$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 4 t + 64$ |
$x^{6} + 71 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 71.3.6.15a1.2 |
$18$ |
$( x^{3} + 4 x + 64 )^{6} + 71$ |
$71$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 4 t + 64$ |
$x^{6} + 71$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 83.3.6.15a1.1 |
$18$ |
$( x^{3} + 3 x + 81 )^{6} + 83 x$ |
$83$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 3 t + 81$ |
$x^{6} + 83 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 83.3.6.15a1.2 |
$18$ |
$( x^{3} + 3 x + 81 )^{6} + 83$ |
$83$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 3 t + 81$ |
$x^{6} + 83$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 89.3.6.15a1.1 |
$18$ |
$( x^{3} + 3 x + 86 )^{6} + 89 x$ |
$89$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 3 t + 86$ |
$x^{6} + 89 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 89.3.6.15a1.2 |
$18$ |
$( x^{3} + 3 x + 86 )^{6} + 89$ |
$89$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 3 t + 86$ |
$x^{6} + 89$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 101.3.6.15a1.1 |
$18$ |
$( x^{3} + 3 x + 99 )^{6} + 101 x$ |
$101$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 3 t + 99$ |
$x^{6} + 101 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 101.3.6.15a1.2 |
$18$ |
$( x^{3} + 3 x + 99 )^{6} + 101$ |
$101$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 3 t + 99$ |
$x^{6} + 101$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 107.3.6.15a1.1 |
$18$ |
$( x^{3} + 5 x + 105 )^{6} + 107 x$ |
$107$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 5 t + 105$ |
$x^{6} + 107 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 107.3.6.15a1.2 |
$18$ |
$( x^{3} + 5 x + 105 )^{6} + 107$ |
$107$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 5 t + 105$ |
$x^{6} + 107$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 113.3.6.15a1.1 |
$18$ |
$( x^{3} + 8 x + 110 )^{6} + 113 x$ |
$113$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 8 t + 110$ |
$x^{6} + 113 t$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 113.3.6.15a1.2 |
$18$ |
$( x^{3} + 8 x + 110 )^{6} + 113$ |
$113$ |
$3$ |
$6$ |
$15$ |
$S_3 \times C_6$ (as 18T6) |
$6$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{6}$ |
$[\ ]_{6}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$6$ |
$t^{3} + 8 t + 110$ |
$x^{6} + 113$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
