| 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 |
| 43.1.1.0a1.1 |
$1$ |
$x + 40$ |
$43$ |
$1$ |
$1$ |
$0$ |
Trivial (as 1T1) |
$1$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$1$ |
$t + 40$ |
$x - 43$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 43.2.1.0a1.1 |
$2$ |
$x^{2} + 42 x + 3$ |
$43$ |
$2$ |
$1$ |
$0$ |
$C_2$ (as 2T1) |
$2$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t^{2} + 42 t + 3$ |
$x - 43$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 43.1.2.1a1.1 |
$2$ |
$x^{2} + 43$ |
$43$ |
$1$ |
$2$ |
$1$ |
$C_2$ (as 2T1) |
$1$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t + 40$ |
$x^{2} + 43$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 43.1.2.1a1.2 |
$2$ |
$x^{2} + 129$ |
$43$ |
$1$ |
$2$ |
$1$ |
$C_2$ (as 2T1) |
$1$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t + 40$ |
$x^{2} + 129$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 43.3.1.0a1.1 |
$3$ |
$x^{3} + x + 40$ |
$43$ |
$3$ |
$1$ |
$0$ |
$C_3$ (as 3T1) |
$3$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t^{3} + t + 40$ |
$x - 43$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 43.1.3.2a1.1 |
$3$ |
$x^{3} + 43$ |
$43$ |
$1$ |
$3$ |
$2$ |
$C_3$ (as 3T1) |
$1$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t + 40$ |
$x^{3} + 43$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 43.1.3.2a1.2 |
$3$ |
$x^{3} + 129$ |
$43$ |
$1$ |
$3$ |
$2$ |
$C_3$ (as 3T1) |
$1$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t + 40$ |
$x^{3} + 129$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 43.1.3.2a1.3 |
$3$ |
$x^{3} + 387$ |
$43$ |
$1$ |
$3$ |
$2$ |
$C_3$ (as 3T1) |
$1$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t + 40$ |
$x^{3} + 387$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 43.4.1.0a1.1 |
$4$ |
$x^{4} + 5 x^{2} + 42 x + 3$ |
$43$ |
$4$ |
$1$ |
$0$ |
$C_4$ (as 4T1) |
$4$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{4} + 5 t^{2} + 42 t + 3$ |
$x - 43$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 43.2.2.2a1.1 |
$4$ |
$( x^{2} + 42 x + 3 )^{2} + 43 x$ |
$43$ |
$2$ |
$2$ |
$2$ |
$C_4$ (as 4T1) |
$2$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{2}$ |
$[\ ]_{2}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{2} + 42 t + 3$ |
$x^{2} + 43 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 43.2.2.2a1.2 |
$4$ |
$( x^{2} + 42 x + 3 )^{2} + 43$ |
$43$ |
$2$ |
$2$ |
$2$ |
$C_2^2$ (as 4T2) |
$2$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{2}$ |
$[\ ]_{2}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{2} + 42 t + 3$ |
$x^{2} + 43$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 43.1.4.3a1.1 |
$4$ |
$x^{4} + 43$ |
$43$ |
$1$ |
$4$ |
$3$ |
$D_{4}$ (as 4T3) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 40$ |
$x^{4} + 43$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 43.1.4.3a1.2 |
$4$ |
$x^{4} + 129$ |
$43$ |
$1$ |
$4$ |
$3$ |
$D_{4}$ (as 4T3) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 40$ |
$x^{4} + 129$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 43.5.1.0a1.1 |
$5$ |
$x^{5} + 8 x + 40$ |
$43$ |
$5$ |
$1$ |
$0$ |
$C_5$ (as 5T1) |
$5$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{5}$ |
$[\ ]^{5}$ |
$[\ ]$ |
$[\ ]$ |
$5$ |
$t^{5} + 8 t + 40$ |
$x - 43$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 43.1.5.4a1.1 |
$5$ |
$x^{5} + 43$ |
$43$ |
$1$ |
$5$ |
$4$ |
$F_5$ (as 5T3) |
$4$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{4}$ |
$[\ ]_{5}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$1$ |
$t + 40$ |
$x^{5} + 43$ |
$[0]$ |
$[4]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 43.6.1.0a1.1 |
$6$ |
$x^{6} + 19 x^{3} + 28 x^{2} + 21 x + 3$ |
$43$ |
$6$ |
$1$ |
$0$ |
$C_6$ (as 6T1) |
$6$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{6} + 19 t^{3} + 28 t^{2} + 21 t + 3$ |
$x - 43$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 43.3.2.3a1.1 |
$6$ |
$( x^{3} + x + 40 )^{2} + 43 x$ |
$43$ |
$3$ |
$2$ |
$3$ |
$C_6$ (as 6T1) |
$3$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{3}$ |
$[\ ]_{2}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + t + 40$ |
$x^{2} + 43 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 43.3.2.3a1.2 |
$6$ |
$( x^{3} + x + 40 )^{2} + 43$ |
$43$ |
$3$ |
$2$ |
$3$ |
$C_6$ (as 6T1) |
$3$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{3}$ |
$[\ ]_{2}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + t + 40$ |
$x^{2} + 43$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 43.2.3.4a1.1 |
$6$ |
$( x^{2} + 42 x + 3 )^{3} + 43 x$ |
$43$ |
$2$ |
$3$ |
$4$ |
$C_6$ (as 6T1) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 42 t + 3$ |
$x^{3} + 43 t$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 43.2.3.4a1.2 |
$6$ |
$( x^{2} + 42 x + 3 )^{3} + 43$ |
$43$ |
$2$ |
$3$ |
$4$ |
$C_6$ (as 6T1) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 42 t + 3$ |
$x^{3} + 43$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 43.2.3.4a1.3 |
$6$ |
$( x^{2} + 42 x + 3 )^{3} + 43 x + 1720$ |
$43$ |
$2$ |
$3$ |
$4$ |
$C_6$ (as 6T1) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 42 t + 3$ |
$x^{3} + 43 t + 1720$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 43.1.6.5a1.1 |
$6$ |
$x^{6} + 43$ |
$43$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 40$ |
$x^{6} + 43$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 43.1.6.5a1.2 |
$6$ |
$x^{6} + 129$ |
$43$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 40$ |
$x^{6} + 129$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 43.1.6.5a1.3 |
$6$ |
$x^{6} + 387$ |
$43$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 40$ |
$x^{6} + 387$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 43.1.6.5a1.4 |
$6$ |
$x^{6} + 1161$ |
$43$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 40$ |
$x^{6} + 1161$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 43.1.6.5a1.5 |
$6$ |
$x^{6} + 1204$ |
$43$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 40$ |
$x^{6} + 1204$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 43.1.6.5a1.6 |
$6$ |
$x^{6} + 1634$ |
$43$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 40$ |
$x^{6} + 1634$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 43.7.1.0a1.1 |
$7$ |
$x^{7} + 42 x^{2} + 7 x + 40$ |
$43$ |
$7$ |
$1$ |
$0$ |
$C_7$ (as 7T1) |
$7$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{7}$ |
$[\ ]^{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t^{7} + 42 t^{2} + 7 t + 40$ |
$x - 43$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 43.1.7.6a1.1 |
$7$ |
$x^{7} + 43$ |
$43$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 40$ |
$x^{7} + 43$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 43.1.7.6a1.2 |
$7$ |
$x^{7} + 129$ |
$43$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 40$ |
$x^{7} + 129$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 43.1.7.6a1.3 |
$7$ |
$x^{7} + 387$ |
$43$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 40$ |
$x^{7} + 387$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 43.1.7.6a1.4 |
$7$ |
$x^{7} + 1161$ |
$43$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 40$ |
$x^{7} + 1161$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 43.1.7.6a1.5 |
$7$ |
$x^{7} + 1204$ |
$43$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 40$ |
$x^{7} + 1204$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 43.1.7.6a1.6 |
$7$ |
$x^{7} + 1634$ |
$43$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 40$ |
$x^{7} + 1634$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 43.1.7.6a1.7 |
$7$ |
$x^{7} + 1763$ |
$43$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 40$ |
$x^{7} + 1763$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 43.8.1.0a1.1 |
$8$ |
$x^{8} + x^{4} + 39 x^{3} + 20 x^{2} + 24 x + 3$ |
$43$ |
$8$ |
$1$ |
$0$ |
$C_8$ (as 8T1) |
$8$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{8}$ |
$[\ ]^{8}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{8} + t^{4} + 39 t^{3} + 20 t^{2} + 24 t + 3$ |
$x - 43$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 43.4.2.4a1.1 |
$8$ |
$( x^{4} + 5 x^{2} + 42 x + 3 )^{2} + 43 x$ |
$43$ |
$4$ |
$2$ |
$4$ |
$C_8$ (as 8T1) |
$4$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{4}$ |
$[\ ]_{2}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{4} + 5 t^{2} + 42 t + 3$ |
$x^{2} + 43 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 43.4.2.4a1.2 |
$8$ |
$( x^{4} + 5 x^{2} + 42 x + 3 )^{2} + 43$ |
$43$ |
$4$ |
$2$ |
$4$ |
$C_4\times C_2$ (as 8T2) |
$4$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{4}$ |
$[\ ]_{2}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{4} + 5 t^{2} + 42 t + 3$ |
$x^{2} + 43$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 43.2.4.6a1.1 |
$8$ |
$( x^{2} + 42 x + 3 )^{4} + 43 x$ |
$43$ |
$2$ |
$4$ |
$6$ |
$C_8:C_2$ (as 8T7) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$[\ ]_{4}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t^{2} + 42 t + 3$ |
$x^{4} + 1763 t + 1720$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 43.2.4.6a1.2 |
$8$ |
$( x^{2} + 42 x + 3 )^{4} + 43$ |
$43$ |
$2$ |
$4$ |
$6$ |
$D_4$ (as 8T4) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 42 t + 3$ |
$x^{4} + 43$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 43.2.4.6a1.3 |
$8$ |
$( x^{2} + 42 x + 3 )^{4} + 43 x + 1720$ |
$43$ |
$2$ |
$4$ |
$6$ |
$Q_8$ (as 8T5) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 42 t + 3$ |
$x^{4} + 43 t + 1720$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 43.1.8.7a1.1 |
$8$ |
$x^{8} + 43$ |
$43$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 40$ |
$x^{8} + 43$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 13 z^4 + 27 z^3 + 13 z^2 + 28 z + 8$ |
undefined |
| 43.1.8.7a1.2 |
$8$ |
$x^{8} + 129$ |
$43$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 40$ |
$x^{8} + 129$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 13 z^4 + 27 z^3 + 13 z^2 + 28 z + 8$ |
undefined |
| 43.9.1.0a1.1 |
$9$ |
$x^{9} + 12 x^{3} + 39 x^{2} + x + 40$ |
$43$ |
$9$ |
$1$ |
$0$ |
$C_9$ (as 9T1) |
$9$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{9}$ |
$[\ ]^{9}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{9} + 12 t^{3} + 39 t^{2} + t + 40$ |
$x - 43$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 43.3.3.6a1.1 |
$9$ |
$( x^{3} + x + 40 )^{3} + 43 x^{2}$ |
$43$ |
$3$ |
$3$ |
$6$ |
$C_9$ (as 9T1) |
$3$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{3}$ |
$[\ ]_{3}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{3} + t + 40$ |
$x^{3} + 43 t^{2}$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 43.3.3.6a1.2 |
$9$ |
$( x^{3} + x + 40 )^{3} + 43 x$ |
$43$ |
$3$ |
$3$ |
$6$ |
$C_9$ (as 9T1) |
$3$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{3}$ |
$[\ ]_{3}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{3} + t + 40$ |
$x^{3} + 43 t$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 43.3.3.6a1.3 |
$9$ |
$( x^{3} + x + 40 )^{3} + 43$ |
$43$ |
$3$ |
$3$ |
$6$ |
$C_3^2$ (as 9T2) |
$3$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{3}$ |
$[\ ]_{3}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{3} + t + 40$ |
$x^{3} + 43$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 43.1.9.8a1.1 |
$9$ |
$x^{9} + 43$ |
$43$ |
$1$ |
$9$ |
$8$ |
$C_9:C_3$ (as 9T6) |
$3$ |
$9$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{9}^{3}$ |
$[\ ]_{9}^{3}$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$3$ |
$t + 40$ |
$x^{9} + 43$ |
$[0]$ |
$[3]$ |
$z^8 + 9 z^7 + 36 z^6 + 41 z^5 + 40 z^4 + 40 z^3 + 41 z^2 + 36 z + 9$ |
undefined |
| 43.1.9.8a1.2 |
$9$ |
$x^{9} + 129$ |
$43$ |
$1$ |
$9$ |
$8$ |
$C_9:C_3$ (as 9T6) |
$3$ |
$9$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{9}^{3}$ |
$[\ ]_{9}^{3}$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$3$ |
$t + 40$ |
$x^{9} + 129$ |
$[0]$ |
$[3]$ |
$z^8 + 9 z^7 + 36 z^6 + 41 z^5 + 40 z^4 + 40 z^3 + 41 z^2 + 36 z + 9$ |
undefined |
| 43.1.9.8a1.3 |
$9$ |
$x^{9} + 387$ |
$43$ |
$1$ |
$9$ |
$8$ |
$C_9:C_3$ (as 9T6) |
$3$ |
$9$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{9}^{3}$ |
$[\ ]_{9}^{3}$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$3$ |
$t + 40$ |
$x^{9} + 387$ |
$[0]$ |
$[3]$ |
$z^8 + 9 z^7 + 36 z^6 + 41 z^5 + 40 z^4 + 40 z^3 + 41 z^2 + 36 z + 9$ |
undefined |
