| 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 |
| 7.21.1.0a1.1 |
$21$ |
$x^{21} + 3 x^{7} + 6 x^{3} + 4 x + 4$ |
$7$ |
$21$ |
$1$ |
$0$ |
$C_{21}$ (as 21T1) |
$21$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{21}$ |
$[\ ]^{21}$ |
$[\ ]$ |
$[\ ]$ |
$21$ |
$t^{21} + 3 t^{7} + 6 t^{3} + 4 t + 4$ |
$x - 7$ |
$[0]$ |
$[\ ]$ |
|
$[1]$ |
| 7.7.3.14a1.1 |
$21$ |
$( x^{7} + 6 x + 4 )^{3} + 7 x^{2}$ |
$7$ |
$7$ |
$3$ |
$14$ |
$C_{21}$ (as 21T1) |
not computed |
not computed |
$[\ ]$ |
$[\ ]$ |
not computed |
not computed |
not computed |
not computed |
$21$ |
$t^{7} + 6 t + 4$ |
$x^{3} + 7 t^{2}$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 7.7.3.14a1.2 |
$21$ |
$( x^{7} + 6 x + 4 )^{3} + 7 x$ |
$7$ |
$7$ |
$3$ |
$14$ |
$C_{21}$ (as 21T1) |
not computed |
not computed |
$[\ ]$ |
$[\ ]$ |
not computed |
not computed |
not computed |
not computed |
$21$ |
$t^{7} + 6 t + 4$ |
$x^{3} + 7 t$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 7.7.3.14a1.3 |
$21$ |
$( x^{7} + 6 x + 4 )^{3} + 7$ |
$7$ |
$7$ |
$3$ |
$14$ |
$C_{21}$ (as 21T1) |
not computed |
not computed |
$[\ ]$ |
$[\ ]$ |
not computed |
not computed |
not computed |
not computed |
$21$ |
$t^{7} + 6 t + 4$ |
$x^{3} + 7$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 7.3.7.21a1.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 42 ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$3$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + 42 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^2 + 5 t)$ |
undefined |
| 7.3.7.21a2.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 35 ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
$C_3\times F_7$ (as 21T9) |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$3$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + 35 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (6 t^2 + 3 t)$ |
undefined |
| 7.3.7.21a3.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 28 ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$3$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + 28 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^2 + t)$ |
undefined |
| 7.3.7.21a4.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 21 ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$3$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + 21 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (5 t^2 + 6 t)$ |
undefined |
| 7.3.7.21a5.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 14 ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
$C_3\times F_7$ (as 21T9) |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$3$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + 14 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 4 t)$ |
undefined |
| 7.3.7.21a6.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 7 ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
$C_3\times F_7$ (as 21T9) |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$3$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + 7 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^2 + 2 t)$ |
undefined |
| 7.3.7.21a7.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 42 x ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + 42 t x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 2)$ |
undefined |
| 7.3.7.21a8.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x + 42\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(28 t^{2} + 14 t + 42\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^2 + 5 t + 2)$ |
undefined |
| 7.3.7.21a9.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x + 35\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(28 t^{2} + 14 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t + 2)$ |
undefined |
| 7.3.7.21a10.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x + 28\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(42 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^2 + t + 2)$ |
undefined |
| 7.3.7.21a11.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 35 x ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + 35 t x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^2 + 4)$ |
undefined |
| 7.3.7.21a12.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(35 x + 28\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(35 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^2 + t + 4)$ |
undefined |
| 7.3.7.21a13.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(35 x + 21\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(7 t^{2} + 28 t + 21\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (6 t + 4)$ |
undefined |
| 7.3.7.21a14.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(35 x + 7\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(35 t + 7\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (6 t^2 + 2 t + 4)$ |
undefined |
| 7.3.7.21a15.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 28 x ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(14 t^{2} + 28 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^2 + 6)$ |
undefined |
| 7.3.7.21a16.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x + 35\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(35 t^{2} + 42 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^2 + 3 t + 6)$ |
undefined |
| 7.3.7.21a17.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x + 14\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(28 t + 14\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^2 + 4 t + 6)$ |
undefined |
| 7.3.7.21a18.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x + 7\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(14 t^{2} + 28 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t + 6)$ |
undefined |
| 7.3.7.21a19.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 21 x ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(14 t^{2} + 7 t\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^2 + 1)$ |
undefined |
| 7.3.7.21a20.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 14 x ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(7 t^{2} + 14 t + 14\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (5 t^2 + 3)$ |
undefined |
| 7.3.7.21a21.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(14 x + 28\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(42 t^{2} + 21 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (t + 3)$ |
undefined |
| 7.3.7.21a22.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(14 x + 14\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(14 t + 14\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (6 t^2 + 4 t + 3)$ |
undefined |
| 7.3.7.21a23.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 7 x ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(28 t^{2} + 7 t + 7\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (6 t^2 + 5)$ |
undefined |
| 7.3.7.21a24.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(7 x + 21\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(28 t^{2} + 7 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^2 + 6 t + 5)$ |
undefined |
| 7.3.7.21a25.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(7 x + 14\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(28 t^{2} + 7 t + 21\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t + 5)$ |
undefined |
| 7.3.7.21a26.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 42 x^{2} ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + 42 t^{2} x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 2 t + 3)$ |
undefined |
| 7.3.7.21a27.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 42\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(42 t^{2} + 7 t + 7\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^2 + 3)$ |
undefined |
| 7.3.7.21a28.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 35\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(14 t^{2} + 42 t + 14\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (5 t + 3)$ |
undefined |
| 7.3.7.21a29.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 28\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(14 t^{2} + 42 t + 7\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^2 + 3 t + 3)$ |
undefined |
| 7.3.7.21a30.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 7\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
$C_7:(C_3\times F_7)$ (as 21T24) |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(14 t^{2} + 42 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (5 t^2 + 4 t + 3)$ |
undefined |
| 7.3.7.21a31.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 42 x + 28\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(42 t^{2} + 42 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^2 + 3 t + 5)$ |
undefined |
| 7.3.7.21a32.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 35 x\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(42 t^{2} + 35 t\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^2 + 2 t)$ |
undefined |
| 7.3.7.21a33.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 35 x + 28\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(7 t^{2} + 28 t + 42\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (5 t^2 + 3 t)$ |
undefined |
| 7.3.7.21a34.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 28 x\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(28 t^{2} + 21 t + 7\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^2 + 2 t + 2)$ |
undefined |
| 7.3.7.21a35.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 28 x + 28\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(28 t^{2} + 21 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (6 t^2 + 3 t + 2)$ |
undefined |
| 7.3.7.21a36.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 21 x + 42\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(42 t^{2} + 21 t + 42\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 4)$ |
undefined |
| 7.3.7.21a37.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 21 x + 21\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(7 t^{2} + 14 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^2 + t + 4)$ |
undefined |
| 7.3.7.21a38.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 14 x + 21\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(42 t^{2} + 14 t + 21\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^2 + t + 6)$ |
undefined |
| 7.3.7.21a39.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 14 x + 7\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(35 t^{2} + 28 t + 21\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^2 + 4 t + 6)$ |
undefined |
| 7.3.7.21a40.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 7 x + 35\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(42 t^{2} + 7 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (6 t^2 + 5 t + 1)$ |
undefined |
| 7.3.7.21a41.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x^{2} + 7 x + 28\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(14 t^{2} + 42 t + 42\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^2 + 3 t + 1)$ |
undefined |
| 7.3.7.21a42.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + 35 x^{2} ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(35 t^{2} + 14 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^2 + 4 t + 6)$ |
undefined |
| 7.3.7.21a43.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(35 x^{2} + 35\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(35 t^{2} + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 6)$ |
undefined |
| 7.3.7.21a44.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(35 x^{2} + 21\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(35 t^{2} + 21\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t + 6)$ |
undefined |
| 7.3.7.21a45.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(35 x^{2} + 7\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(35 t^{2} + 14 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (6 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.21a46.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(35 x^{2} + 35 x + 42\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$7$ |
$3$ |
$7$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(42 t^{2} + 42 t + 21\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t + 3)$ |
undefined |
