| 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 |
| 79.1.1.0a1.1 |
$1$ |
$x + 76$ |
$79$ |
$1$ |
$1$ |
$0$ |
Trivial (as 1T1) |
$1$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$1$ |
$t + 76$ |
$x - 79$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 79.2.1.0a1.1 |
$2$ |
$x^{2} + 78 x + 3$ |
$79$ |
$2$ |
$1$ |
$0$ |
$C_2$ (as 2T1) |
$2$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t^{2} + 78 t + 3$ |
$x - 79$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 79.1.2.1a1.1 |
$2$ |
$x^{2} + 79$ |
$79$ |
$1$ |
$2$ |
$1$ |
$C_2$ (as 2T1) |
$1$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t + 76$ |
$x^{2} + 79$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 79.1.2.1a1.2 |
$2$ |
$x^{2} + 237$ |
$79$ |
$1$ |
$2$ |
$1$ |
$C_2$ (as 2T1) |
$1$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t + 76$ |
$x^{2} + 237$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 79.3.1.0a1.1 |
$3$ |
$x^{3} + 9 x + 76$ |
$79$ |
$3$ |
$1$ |
$0$ |
$C_3$ (as 3T1) |
$3$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t^{3} + 9 t + 76$ |
$x - 79$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 79.1.3.2a1.1 |
$3$ |
$x^{3} + 79$ |
$79$ |
$1$ |
$3$ |
$2$ |
$C_3$ (as 3T1) |
$1$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t + 76$ |
$x^{3} + 79$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 79.1.3.2a1.2 |
$3$ |
$x^{3} + 237$ |
$79$ |
$1$ |
$3$ |
$2$ |
$C_3$ (as 3T1) |
$1$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t + 76$ |
$x^{3} + 237$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 79.1.3.2a1.3 |
$3$ |
$x^{3} + 711$ |
$79$ |
$1$ |
$3$ |
$2$ |
$C_3$ (as 3T1) |
$1$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t + 76$ |
$x^{3} + 711$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 79.4.1.0a1.1 |
$4$ |
$x^{4} + 2 x^{2} + 66 x + 3$ |
$79$ |
$4$ |
$1$ |
$0$ |
$C_4$ (as 4T1) |
$4$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{4} + 2 t^{2} + 66 t + 3$ |
$x - 79$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 79.2.2.2a1.1 |
$4$ |
$( x^{2} + 78 x + 3 )^{2} + 79 x$ |
$79$ |
$2$ |
$2$ |
$2$ |
$C_4$ (as 4T1) |
$2$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{2}$ |
$[\ ]_{2}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{2} + 78 t + 3$ |
$x^{2} + 79 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 79.2.2.2a1.2 |
$4$ |
$( x^{2} + 78 x + 3 )^{2} + 79$ |
$79$ |
$2$ |
$2$ |
$2$ |
$C_2^2$ (as 4T2) |
$2$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{2}$ |
$[\ ]_{2}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{2} + 78 t + 3$ |
$x^{2} + 79$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 79.1.4.3a1.1 |
$4$ |
$x^{4} + 79$ |
$79$ |
$1$ |
$4$ |
$3$ |
$D_{4}$ (as 4T3) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 76$ |
$x^{4} + 79$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 79.1.4.3a1.2 |
$4$ |
$x^{4} + 237$ |
$79$ |
$1$ |
$4$ |
$3$ |
$D_{4}$ (as 4T3) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 76$ |
$x^{4} + 237$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 79.5.1.0a1.1 |
$5$ |
$x^{5} + 5 x + 76$ |
$79$ |
$5$ |
$1$ |
$0$ |
$C_5$ (as 5T1) |
$5$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{5}$ |
$[\ ]^{5}$ |
$[\ ]$ |
$[\ ]$ |
$5$ |
$t^{5} + 5 t + 76$ |
$x - 79$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 79.1.5.4a1.1 |
$5$ |
$x^{5} + 79$ |
$79$ |
$1$ |
$5$ |
$4$ |
$D_{5}$ (as 5T2) |
$2$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{2}$ |
$[\ ]_{5}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$1$ |
$t + 76$ |
$x^{5} + 79$ |
$[0]$ |
$[2]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 79.6.1.0a1.1 |
$6$ |
$x^{6} + 19 x^{3} + 28 x^{2} + 68 x + 3$ |
$79$ |
$6$ |
$1$ |
$0$ |
$C_6$ (as 6T1) |
$6$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{6} + 19 t^{3} + 28 t^{2} + 68 t + 3$ |
$x - 79$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 79.3.2.3a1.1 |
$6$ |
$( x^{3} + 9 x + 76 )^{2} + 79 x$ |
$79$ |
$3$ |
$2$ |
$3$ |
$C_6$ (as 6T1) |
$3$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{3}$ |
$[\ ]_{2}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + 9 t + 76$ |
$x^{2} + 79 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 79.3.2.3a1.2 |
$6$ |
$( x^{3} + 9 x + 76 )^{2} + 79$ |
$79$ |
$3$ |
$2$ |
$3$ |
$C_6$ (as 6T1) |
$3$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{3}$ |
$[\ ]_{2}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + 9 t + 76$ |
$x^{2} + 79$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 79.2.3.4a1.1 |
$6$ |
$( x^{2} + 78 x + 3 )^{3} + 79 x$ |
$79$ |
$2$ |
$3$ |
$4$ |
$C_6$ (as 6T1) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 78 t + 3$ |
$x^{3} + 79 t$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 79.2.3.4a1.2 |
$6$ |
$( x^{2} + 78 x + 3 )^{3} + 79$ |
$79$ |
$2$ |
$3$ |
$4$ |
$C_6$ (as 6T1) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 78 t + 3$ |
$x^{3} + 79$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 79.2.3.4a1.3 |
$6$ |
$( x^{2} + 78 x + 3 )^{3} + 79 x + 6004$ |
$79$ |
$2$ |
$3$ |
$4$ |
$C_6$ (as 6T1) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 78 t + 3$ |
$x^{3} + 79 t + 6004$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 79.1.6.5a1.1 |
$6$ |
$x^{6} + 79$ |
$79$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 76$ |
$x^{6} + 79$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 79.1.6.5a1.2 |
$6$ |
$x^{6} + 158$ |
$79$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 76$ |
$x^{6} + 158$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 79.1.6.5a1.3 |
$6$ |
$x^{6} + 237$ |
$79$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 76$ |
$x^{6} + 237$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 79.1.6.5a1.4 |
$6$ |
$x^{6} + 474$ |
$79$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 76$ |
$x^{6} + 474$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 79.1.6.5a1.5 |
$6$ |
$x^{6} + 711$ |
$79$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 76$ |
$x^{6} + 711$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 79.1.6.5a1.6 |
$6$ |
$x^{6} + 2133$ |
$79$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 76$ |
$x^{6} + 2133$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 79.7.1.0a1.1 |
$7$ |
$x^{7} + 4 x + 76$ |
$79$ |
$7$ |
$1$ |
$0$ |
$C_7$ (as 7T1) |
$7$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{7}$ |
$[\ ]^{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t^{7} + 4 t + 76$ |
$x - 79$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 79.1.7.6a1.1 |
$7$ |
$x^{7} + 79$ |
$79$ |
$1$ |
$7$ |
$6$ |
$C_7:C_3$ (as 7T3) |
$3$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}^{3}$ |
$[\ ]_{7}^{3}$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$1$ |
$t + 76$ |
$x^{7} + 79$ |
$[0]$ |
$[3]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 79.8.1.0a1.1 |
$8$ |
$x^{8} + 60 x^{3} + 59 x^{2} + 48 x + 3$ |
$79$ |
$8$ |
$1$ |
$0$ |
$C_8$ (as 8T1) |
$8$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{8}$ |
$[\ ]^{8}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{8} + 60 t^{3} + 59 t^{2} + 48 t + 3$ |
$x - 79$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 79.4.2.4a1.1 |
$8$ |
$( x^{4} + 2 x^{2} + 66 x + 3 )^{2} + 79 x$ |
$79$ |
$4$ |
$2$ |
$4$ |
$C_8$ (as 8T1) |
$4$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{4}$ |
$[\ ]_{2}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{4} + 2 t^{2} + 66 t + 3$ |
$x^{2} + 79 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 79.4.2.4a1.2 |
$8$ |
$( x^{4} + 2 x^{2} + 66 x + 3 )^{2} + 79$ |
$79$ |
$4$ |
$2$ |
$4$ |
$C_4\times C_2$ (as 8T2) |
$4$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{4}$ |
$[\ ]_{2}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{4} + 2 t^{2} + 66 t + 3$ |
$x^{2} + 79$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 79.2.4.6a1.1 |
$8$ |
$( x^{2} + 78 x + 3 )^{4} + 79 x$ |
$79$ |
$2$ |
$4$ |
$6$ |
$C_8:C_2$ (as 8T7) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$[\ ]_{4}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t^{2} + 78 t + 3$ |
$x^{4} + 6083 t + 6004$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 79.2.4.6a1.2 |
$8$ |
$( x^{2} + 78 x + 3 )^{4} + 79$ |
$79$ |
$2$ |
$4$ |
$6$ |
$D_4$ (as 8T4) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 78 t + 3$ |
$x^{4} + 79$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 79.2.4.6a1.3 |
$8$ |
$( x^{2} + 78 x + 3 )^{4} + 79 x + 6004$ |
$79$ |
$2$ |
$4$ |
$6$ |
$Q_8$ (as 8T5) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 78 t + 3$ |
$x^{4} + 79 t + 6004$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 79.1.8.7a1.1 |
$8$ |
$x^{8} + 79$ |
$79$ |
$1$ |
$8$ |
$7$ |
$D_{8}$ (as 8T6) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 76$ |
$x^{8} + 79$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 79.1.8.7a1.2 |
$8$ |
$x^{8} + 237$ |
$79$ |
$1$ |
$8$ |
$7$ |
$D_{8}$ (as 8T6) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 76$ |
$x^{8} + 237$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 79.9.1.0a1.1 |
$9$ |
$x^{9} + 57 x^{2} + 19 x + 76$ |
$79$ |
$9$ |
$1$ |
$0$ |
$C_9$ (as 9T1) |
$9$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{9}$ |
$[\ ]^{9}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{9} + 57 t^{2} + 19 t + 76$ |
$x - 79$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 79.3.3.6a1.1 |
$9$ |
$( x^{3} + 9 x + 76 )^{3} + 79 x^{2}$ |
$79$ |
$3$ |
$3$ |
$6$ |
$C_9$ (as 9T1) |
$3$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{3}$ |
$[\ ]_{3}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{3} + 9 t + 76$ |
$x^{3} + 79 t^{2}$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 79.3.3.6a1.2 |
$9$ |
$( x^{3} + 9 x + 76 )^{3} + 79 x$ |
$79$ |
$3$ |
$3$ |
$6$ |
$C_9$ (as 9T1) |
$3$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{3}$ |
$[\ ]_{3}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{3} + 9 t + 76$ |
$x^{3} + 79 t$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 79.3.3.6a1.3 |
$9$ |
$( x^{3} + 9 x + 76 )^{3} + 79$ |
$79$ |
$3$ |
$3$ |
$6$ |
$C_3^2$ (as 9T2) |
$3$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{3}$ |
$[\ ]_{3}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{3} + 9 t + 76$ |
$x^{3} + 79$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 79.1.9.8a1.1 |
$9$ |
$x^{9} + 79$ |
$79$ |
$1$ |
$9$ |
$8$ |
$C_9:C_3$ (as 9T6) |
$3$ |
$9$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{9}^{3}$ |
$[\ ]_{9}^{3}$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$3$ |
$t + 76$ |
$x^{9} + 79$ |
$[0]$ |
$[3]$ |
$z^8 + 9 z^7 + 36 z^6 + 5 z^5 + 47 z^4 + 47 z^3 + 5 z^2 + 36 z + 9$ |
undefined |
| 79.1.9.8a1.2 |
$9$ |
$x^{9} + 237$ |
$79$ |
$1$ |
$9$ |
$8$ |
$C_9:C_3$ (as 9T6) |
$3$ |
$9$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{9}^{3}$ |
$[\ ]_{9}^{3}$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$3$ |
$t + 76$ |
$x^{9} + 237$ |
$[0]$ |
$[3]$ |
$z^8 + 9 z^7 + 36 z^6 + 5 z^5 + 47 z^4 + 47 z^3 + 5 z^2 + 36 z + 9$ |
undefined |
| 79.1.9.8a1.3 |
$9$ |
$x^{9} + 711$ |
$79$ |
$1$ |
$9$ |
$8$ |
$C_9:C_3$ (as 9T6) |
$3$ |
$9$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{9}^{3}$ |
$[\ ]_{9}^{3}$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$3$ |
$t + 76$ |
$x^{9} + 711$ |
$[0]$ |
$[3]$ |
$z^8 + 9 z^7 + 36 z^6 + 5 z^5 + 47 z^4 + 47 z^3 + 5 z^2 + 36 z + 9$ |
undefined |
| 79.10.1.0a1.1 |
$10$ |
$x^{10} + 4 x^{6} + 44 x^{5} + 51 x^{4} + x^{3} + 30 x^{2} + 42 x + 3$ |
$79$ |
$10$ |
$1$ |
$0$ |
$C_{10}$ (as 10T1) |
$10$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{10}$ |
$[\ ]^{10}$ |
$[\ ]$ |
$[\ ]$ |
$10$ |
$t^{10} + 4 t^{6} + 44 t^{5} + 51 t^{4} + t^{3} + 30 t^{2} + 42 t + 3$ |
$x - 79$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 79.5.2.5a1.1 |
$10$ |
$( x^{5} + 5 x + 76 )^{2} + 79 x$ |
$79$ |
$5$ |
$2$ |
$5$ |
$C_{10}$ (as 10T1) |
$5$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{5}$ |
$[\ ]_{2}^{5}$ |
$[\ ]$ |
$[\ ]$ |
$10$ |
$t^{5} + 5 t + 76$ |
$x^{2} + 79 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 79.5.2.5a1.2 |
$10$ |
$( x^{5} + 5 x + 76 )^{2} + 79$ |
$79$ |
$5$ |
$2$ |
$5$ |
$C_{10}$ (as 10T1) |
$5$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{5}$ |
$[\ ]_{2}^{5}$ |
$[\ ]$ |
$[\ ]$ |
$10$ |
$t^{5} + 5 t + 76$ |
$x^{2} + 79$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 79.2.5.8a1.1 |
$10$ |
$( x^{2} + 78 x + 3 )^{5} + 79 x$ |
$79$ |
$2$ |
$5$ |
$8$ |
$D_5\times C_5$ (as 10T6) |
$10$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{10}$ |
$[\ ]_{5}^{10}$ |
$[\ ]^{5}$ |
$[\ ]^{5}$ |
$5$ |
$t^{2} + 78 t + 3$ |
$x^{5} + 5846 t + 474$ |
$[0]$ |
$[1]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 79.2.5.8a1.2 |
$10$ |
$( x^{2} + 78 x + 3 )^{5} + 79$ |
$79$ |
$2$ |
$5$ |
$8$ |
$D_5$ (as 10T2) |
$2$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{2}$ |
$[\ ]_{5}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$10$ |
$t^{2} + 78 t + 3$ |
$x^{5} + 79$ |
$[0]$ |
$[1]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 79.2.5.8a1.3 |
$10$ |
$( x^{2} + 78 x + 3 )^{5} + 79 x + 6004$ |
$79$ |
$2$ |
$5$ |
$8$ |
$D_5\times C_5$ (as 10T6) |
$10$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{10}$ |
$[\ ]_{5}^{10}$ |
$[\ ]^{5}$ |
$[\ ]^{5}$ |
$5$ |
$t^{2} + 78 t + 3$ |
$x^{5} + 6083 t + 6004$ |
$[0]$ |
$[1]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
