Select desired size of Galois group.
| Label |
Packet size |
Polynomial |
Galois group |
Galois degree |
$\#\Aut(K/\Q_p)$ |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 5.3.5.21a1.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + 15 ( x^{3} + 3 x + 3 )^{3} + 5$ |
$F_5\times C_3$ (as 15T8) |
$60$ |
$3$ |
$[\frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4}]_{4}^{3}$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (t^2 + 3 t)$ |
undefined |
| 5.3.5.21a2.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + 5 ( x^{3} + 3 x + 3 )^{3} + 5$ |
$F_5\times C_3$ (as 15T8) |
$60$ |
$3$ |
$[\frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4}]_{4}^{3}$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (2 t^2 + t)$ |
undefined |
| 5.3.5.21a3.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + 20 ( x^{3} + 3 x + 3 )^{3} + 5$ |
$F_5\times C_3$ (as 15T8) |
$60$ |
$3$ |
$[\frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4}]_{4}^{3}$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (3 t^2 + 4 t)$ |
undefined |
| 5.3.5.21a4.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + 10 ( x^{3} + 3 x + 3 )^{3} + 5$ |
$F_5\times C_3$ (as 15T8) |
$60$ |
$3$ |
$[\frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4}]_{4}^{3}$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (4 t^2 + 2 t)$ |
undefined |
| 5.3.5.21a5.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + 15 x ( x^{3} + 3 x + 3 )^{3} + 5$ |
$(C_5^2 : C_4):C_3$ (as 15T19) |
$300$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4}]_{4}$ |
$[\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (3 t^2 + 2 t + 2)$ |
undefined |
| 5.3.5.21a6.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + 5 x ( x^{3} + 3 x + 3 )^{3} + 5$ |
$(C_5^2 : C_4):C_3$ (as 15T19) |
$300$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4}]_{4}$ |
$[\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (t^2 + 4 t + 4)$ |
undefined |
| 5.3.5.21a7.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x + 5\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (3 t^2 + 4)$ |
undefined |
| 5.3.5.21a8.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + 20 x ( x^{3} + 3 x + 3 )^{3} + 5$ |
$(C_5^2 : C_4):C_3$ (as 15T19) |
$300$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4}]_{4}$ |
$[\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (4 t^2 + t + 1)$ |
undefined |
| 5.3.5.21a9.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + 10 x ( x^{3} + 3 x + 3 )^{3} + 5$ |
$(C_5^2 : C_4):C_3$ (as 15T19) |
$300$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4}]_{4}$ |
$[\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (2 t^2 + 3 t + 3)$ |
undefined |
| 5.3.5.21a10.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x + 20\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (2 t + 3)$ |
undefined |
| 5.3.5.21a11.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x + 10\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (t^2 + 3)$ |
undefined |
| 5.3.5.21a12.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + 15 x^{2} ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (2 t^2 + 3 t + 1)$ |
undefined |
| 5.3.5.21a13.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(15 x^{2} + 15 x + 15\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (t^2 + 3 t + 3)$ |
undefined |
| 5.3.5.21a14.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(15 x^{2} + 5 x + 15\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + 4 t^2$ |
undefined |
| 5.3.5.21a15.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(15 x^{2} + 20 x + 5\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (3 t^2 + 2)$ |
undefined |
| 5.3.5.21a16.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(15 x^{2} + 20 x + 20\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (4 t^2 + 3 t + 2)$ |
undefined |
| 5.3.5.21a17.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(15 x^{2} + 10 x + 15\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (4 t + 4)$ |
undefined |
| 5.3.5.21a18.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + 5 x^{2} ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (4 t^2 + t + 2)$ |
undefined |
| 5.3.5.21a19.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 15 x + 15\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (3 t^2 + t + 4)$ |
undefined |
| 5.3.5.21a20.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 5 x\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + 1$ |
undefined |
| 5.3.5.21a21.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 5 x + 20\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (3 t^2 + 4 t + 1)$ |
undefined |
| 5.3.5.21a22.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 5 x + 10\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (4 t^2 + 2 t + 1)$ |
undefined |
| 5.3.5.21a23.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 20 x\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$(C_5^2 : C_4):C_3$ (as 15T19) |
$300$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4}]_{4}$ |
$[\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (3 t^2 + 2 t + 3)$ |
undefined |
| 5.3.5.21a24.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 20 x + 5\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (3 t + 3)$ |
undefined |
| 5.3.5.21a25.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 20 x + 10\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (2 t^2 + 4 t + 3)$ |
undefined |
| 5.3.5.21a26.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 10 x + 15\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (2 t^2 + 2 t)$ |
undefined |
| 5.3.5.21a27.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 10 x + 5\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + 3 t^2$ |
undefined |
| 5.3.5.21a28.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 10 x + 20\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (4 t^2 + 3 t)$ |
undefined |
| 5.3.5.21a29.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 5\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (3 t^2 + 3)$ |
undefined |
| 5.3.5.21a30.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 15 x + 20\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + 2 t^2$ |
undefined |
| 5.3.5.21a31.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 5 x\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$(C_5^2 : C_4):C_3$ (as 15T19) |
$300$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4}]_{4}$ |
$[\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (2 t^2 + 3 t + 2)$ |
undefined |
| 5.3.5.21a32.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 5 x + 20\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (2 t + 2)$ |
undefined |
| 5.3.5.21a33.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 20 x + 20\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (3 t^2 + 4 t + 4)$ |
undefined |
| 5.3.5.21a34.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 20 x + 10\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$(C_5^2 : C_4):C_3$ (as 15T19) |
$300$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4}]_{4}$ |
$[\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (4 t^2 + 2 t + 4)$ |
undefined |
| 5.3.5.21a35.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 10 x + 15\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (4 t^2 + 1)$ |
undefined |
| 5.3.5.21a36.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 10 x + 5\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (3 t + 1)$ |
undefined |
| 5.3.5.21a37.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 10 x + 10\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (2 t^2 + 4 t + 1)$ |
undefined |
| 5.3.5.21a38.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + 10 x^{2} ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (3 t^2 + 2 t + 4)$ |
undefined |
| 5.3.5.21a39.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 15\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (4 t^2 + 4)$ |
undefined |
| 5.3.5.21a40.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 10\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (2 t^2 + 4 t + 4)$ |
undefined |
| 5.3.5.21a41.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 15 x\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$(C_5^2 : C_4):C_3$ (as 15T19) |
$300$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4}]_{4}$ |
$[\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (t^2 + 4 t + 1)$ |
undefined |
| 5.3.5.21a42.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 5 x + 15\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (4 t + 3)$ |
undefined |
| 5.3.5.21a43.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 20 x + 5\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + (4 t^2 + 4 t)$ |
undefined |
| 5.3.5.21a44.1 |
1 |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 20 x + 10\right) ( x^{3} + 3 x + 3 )^{3} + 5$ |
$C_5^3:C_{12}$ (as 15T38) |
$1500$ |
$1$ |
$[\frac{7}{4}, \frac{7}{4}, \frac{7}{4}]_{4}^{3}$ |
$[\frac{3}{4},\frac{3}{4},\frac{3}{4}]_{4}^{3}$ |
$[\frac{7}{4},\frac{7}{4}]_{4}$ |
$[\frac{3}{4},\frac{3}{4}]_{4}$ |
$[3, 0]$ |
$[1]$ |
$z + t^2$ |
undefined |
