| 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 |
| 73.1.1.0a1.1 |
$1$ |
$x + 68$ |
$73$ |
$1$ |
$1$ |
$0$ |
Trivial (as 1T1) |
$1$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$1$ |
$t + 68$ |
$x - 73$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 73.2.1.0a1.1 |
$2$ |
$x^{2} + 70 x + 5$ |
$73$ |
$2$ |
$1$ |
$0$ |
$C_2$ (as 2T1) |
$2$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t^{2} + 70 t + 5$ |
$x - 73$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 73.1.2.1a1.1 |
$2$ |
$x^{2} + 73$ |
$73$ |
$1$ |
$2$ |
$1$ |
$C_2$ (as 2T1) |
$1$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t + 68$ |
$x^{2} + 73$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 73.1.2.1a1.2 |
$2$ |
$x^{2} + 365$ |
$73$ |
$1$ |
$2$ |
$1$ |
$C_2$ (as 2T1) |
$1$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t + 68$ |
$x^{2} + 365$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 73.3.1.0a1.1 |
$3$ |
$x^{3} + 2 x + 68$ |
$73$ |
$3$ |
$1$ |
$0$ |
$C_3$ (as 3T1) |
$3$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t^{3} + 2 t + 68$ |
$x - 73$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 73.1.3.2a1.1 |
$3$ |
$x^{3} + 73$ |
$73$ |
$1$ |
$3$ |
$2$ |
$C_3$ (as 3T1) |
$1$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t + 68$ |
$x^{3} + 73$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 73.1.3.2a1.2 |
$3$ |
$x^{3} + 365$ |
$73$ |
$1$ |
$3$ |
$2$ |
$C_3$ (as 3T1) |
$1$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t + 68$ |
$x^{3} + 365$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 73.1.3.2a1.3 |
$3$ |
$x^{3} + 1825$ |
$73$ |
$1$ |
$3$ |
$2$ |
$C_3$ (as 3T1) |
$1$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}$ |
$[\ ]_{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t + 68$ |
$x^{3} + 1825$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 73.4.1.0a1.1 |
$4$ |
$x^{4} + 16 x^{2} + 56 x + 5$ |
$73$ |
$4$ |
$1$ |
$0$ |
$C_4$ (as 4T1) |
$4$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{4} + 16 t^{2} + 56 t + 5$ |
$x - 73$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 73.2.2.2a1.1 |
$4$ |
$( x^{2} + 70 x + 5 )^{2} + 73 x$ |
$73$ |
$2$ |
$2$ |
$2$ |
$C_4$ (as 4T1) |
$2$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{2}$ |
$[\ ]_{2}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{2} + 70 t + 5$ |
$x^{2} + 73 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 73.2.2.2a1.2 |
$4$ |
$( x^{2} + 70 x + 5 )^{2} + 73$ |
$73$ |
$2$ |
$2$ |
$2$ |
$C_2^2$ (as 4T2) |
$2$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{2}$ |
$[\ ]_{2}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{2} + 70 t + 5$ |
$x^{2} + 73$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 73.1.4.3a1.1 |
$4$ |
$x^{4} + 73$ |
$73$ |
$1$ |
$4$ |
$3$ |
$C_4$ (as 4T1) |
$1$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t + 68$ |
$x^{4} + 73$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 73.1.4.3a1.2 |
$4$ |
$x^{4} + 365$ |
$73$ |
$1$ |
$4$ |
$3$ |
$C_4$ (as 4T1) |
$1$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t + 68$ |
$x^{4} + 365$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 73.1.4.3a1.3 |
$4$ |
$x^{4} + 1825$ |
$73$ |
$1$ |
$4$ |
$3$ |
$C_4$ (as 4T1) |
$1$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t + 68$ |
$x^{4} + 1825$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 73.1.4.3a1.4 |
$4$ |
$x^{4} + 3796$ |
$73$ |
$1$ |
$4$ |
$3$ |
$C_4$ (as 4T1) |
$1$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t + 68$ |
$x^{4} + 3796$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 73.5.1.0a1.1 |
$5$ |
$x^{5} + 9 x + 68$ |
$73$ |
$5$ |
$1$ |
$0$ |
$C_5$ (as 5T1) |
$5$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{5}$ |
$[\ ]^{5}$ |
$[\ ]$ |
$[\ ]$ |
$5$ |
$t^{5} + 9 t + 68$ |
$x - 73$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 73.1.5.4a1.1 |
$5$ |
$x^{5} + 73$ |
$73$ |
$1$ |
$5$ |
$4$ |
$F_5$ (as 5T3) |
$4$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{4}$ |
$[\ ]_{5}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$1$ |
$t + 68$ |
$x^{5} + 73$ |
$[0]$ |
$[4]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 73.6.1.0a1.1 |
$6$ |
$x^{6} + 45 x^{3} + 23 x^{2} + 48 x + 5$ |
$73$ |
$6$ |
$1$ |
$0$ |
$C_6$ (as 6T1) |
$6$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{6} + 45 t^{3} + 23 t^{2} + 48 t + 5$ |
$x - 73$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 73.3.2.3a1.1 |
$6$ |
$( x^{3} + 2 x + 68 )^{2} + 73 x$ |
$73$ |
$3$ |
$2$ |
$3$ |
$C_6$ (as 6T1) |
$3$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{3}$ |
$[\ ]_{2}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + 2 t + 68$ |
$x^{2} + 73 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 73.3.2.3a1.2 |
$6$ |
$( x^{3} + 2 x + 68 )^{2} + 73$ |
$73$ |
$3$ |
$2$ |
$3$ |
$C_6$ (as 6T1) |
$3$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{3}$ |
$[\ ]_{2}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + 2 t + 68$ |
$x^{2} + 73$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 73.2.3.4a1.1 |
$6$ |
$( x^{2} + 70 x + 5 )^{3} + 73 x$ |
$73$ |
$2$ |
$3$ |
$4$ |
$C_6$ (as 6T1) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 70 t + 5$ |
$x^{3} + 73 t$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 73.2.3.4a1.2 |
$6$ |
$( x^{2} + 70 x + 5 )^{3} + 73$ |
$73$ |
$2$ |
$3$ |
$4$ |
$C_6$ (as 6T1) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 70 t + 5$ |
$x^{3} + 73$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 73.2.3.4a1.3 |
$6$ |
$( x^{2} + 70 x + 5 )^{3} + 219 x + 4964$ |
$73$ |
$2$ |
$3$ |
$4$ |
$C_6$ (as 6T1) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 70 t + 5$ |
$x^{3} + 219 t + 4964$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 73.1.6.5a1.1 |
$6$ |
$x^{6} + 73$ |
$73$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 68$ |
$x^{6} + 73$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 73.1.6.5a1.2 |
$6$ |
$x^{6} + 365$ |
$73$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 68$ |
$x^{6} + 365$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 73.1.6.5a1.3 |
$6$ |
$x^{6} + 1825$ |
$73$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 68$ |
$x^{6} + 1825$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 73.1.6.5a1.4 |
$6$ |
$x^{6} + 2993$ |
$73$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 68$ |
$x^{6} + 2993$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 73.1.6.5a1.5 |
$6$ |
$x^{6} + 3796$ |
$73$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 68$ |
$x^{6} + 3796$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 73.1.6.5a1.6 |
$6$ |
$x^{6} + 4307$ |
$73$ |
$1$ |
$6$ |
$5$ |
$C_6$ (as 6T1) |
$1$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t + 68$ |
$x^{6} + 4307$ |
$[0]$ |
$[1]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 73.7.1.0a1.1 |
$7$ |
$x^{7} + 10 x + 68$ |
$73$ |
$7$ |
$1$ |
$0$ |
$C_7$ (as 7T1) |
$7$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{7}$ |
$[\ ]^{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t^{7} + 10 t + 68$ |
$x - 73$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 73.1.7.6a1.1 |
$7$ |
$x^{7} + 73$ |
$73$ |
$1$ |
$7$ |
$6$ |
$F_7$ (as 7T4) |
$6$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}^{6}$ |
$[\ ]_{7}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$1$ |
$t + 68$ |
$x^{7} + 73$ |
$[0]$ |
$[6]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 73.8.1.0a1.1 |
$8$ |
$x^{8} + 3 x^{4} + 53 x^{3} + 39 x^{2} + 18 x + 5$ |
$73$ |
$8$ |
$1$ |
$0$ |
$C_8$ (as 8T1) |
$8$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{8}$ |
$[\ ]^{8}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{8} + 3 t^{4} + 53 t^{3} + 39 t^{2} + 18 t + 5$ |
$x - 73$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 73.4.2.4a1.1 |
$8$ |
$( x^{4} + 16 x^{2} + 56 x + 5 )^{2} + 73 x$ |
$73$ |
$4$ |
$2$ |
$4$ |
$C_8$ (as 8T1) |
$4$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{4}$ |
$[\ ]_{2}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{4} + 16 t^{2} + 56 t + 5$ |
$x^{2} + 73 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 73.4.2.4a1.2 |
$8$ |
$( x^{4} + 16 x^{2} + 56 x + 5 )^{2} + 73$ |
$73$ |
$4$ |
$2$ |
$4$ |
$C_4\times C_2$ (as 8T2) |
$4$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{4}$ |
$[\ ]_{2}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{4} + 16 t^{2} + 56 t + 5$ |
$x^{2} + 73$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 73.2.4.6a1.1 |
$8$ |
$( x^{2} + 70 x + 5 )^{4} + 73 x$ |
$73$ |
$2$ |
$4$ |
$6$ |
$C_8$ (as 8T1) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 70 t + 5$ |
$x^{4} + 73 t$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 73.2.4.6a1.2 |
$8$ |
$( x^{2} + 70 x + 5 )^{4} + 73$ |
$73$ |
$2$ |
$4$ |
$6$ |
$C_4\times C_2$ (as 8T2) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 70 t + 5$ |
$x^{4} + 73$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 73.2.4.6a1.3 |
$8$ |
$( x^{2} + 70 x + 5 )^{4} + 292 x + 4234$ |
$73$ |
$2$ |
$4$ |
$6$ |
$C_8$ (as 8T1) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 70 t + 5$ |
$x^{4} + 292 t + 4234$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 73.2.4.6a1.4 |
$8$ |
$( x^{2} + 70 x + 5 )^{4} + 219 x + 4964$ |
$73$ |
$2$ |
$4$ |
$6$ |
$C_4\times C_2$ (as 8T2) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 70 t + 5$ |
$x^{4} + 219 t + 4964$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 73.1.8.7a1.1 |
$8$ |
$x^{8} + 73$ |
$73$ |
$1$ |
$8$ |
$7$ |
$C_8$ (as 8T1) |
$1$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}$ |
$[\ ]_{8}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t + 68$ |
$x^{8} + 73$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 73.1.8.7a1.2 |
$8$ |
$x^{8} + 219$ |
$73$ |
$1$ |
$8$ |
$7$ |
$C_8$ (as 8T1) |
$1$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}$ |
$[\ ]_{8}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t + 68$ |
$x^{8} + 219$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 73.1.8.7a1.3 |
$8$ |
$x^{8} + 365$ |
$73$ |
$1$ |
$8$ |
$7$ |
$C_8$ (as 8T1) |
$1$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}$ |
$[\ ]_{8}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t + 68$ |
$x^{8} + 365$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 73.1.8.7a1.4 |
$8$ |
$x^{8} + 1095$ |
$73$ |
$1$ |
$8$ |
$7$ |
$C_8$ (as 8T1) |
$1$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}$ |
$[\ ]_{8}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t + 68$ |
$x^{8} + 1095$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 73.1.8.7a1.5 |
$8$ |
$x^{8} + 1825$ |
$73$ |
$1$ |
$8$ |
$7$ |
$C_8$ (as 8T1) |
$1$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}$ |
$[\ ]_{8}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t + 68$ |
$x^{8} + 1825$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 73.1.8.7a1.6 |
$8$ |
$x^{8} + 2993$ |
$73$ |
$1$ |
$8$ |
$7$ |
$C_8$ (as 8T1) |
$1$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}$ |
$[\ ]_{8}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t + 68$ |
$x^{8} + 2993$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 73.1.8.7a1.7 |
$8$ |
$x^{8} + 3796$ |
$73$ |
$1$ |
$8$ |
$7$ |
$C_8$ (as 8T1) |
$1$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}$ |
$[\ ]_{8}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t + 68$ |
$x^{8} + 3796$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 73.1.8.7a1.8 |
$8$ |
$x^{8} + 4307$ |
$73$ |
$1$ |
$8$ |
$7$ |
$C_8$ (as 8T1) |
$1$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}$ |
$[\ ]_{8}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t + 68$ |
$x^{8} + 4307$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 73.9.1.0a1.1 |
$9$ |
$x^{9} + 72 x^{2} + 15 x + 68$ |
$73$ |
$9$ |
$1$ |
$0$ |
$C_9$ (as 9T1) |
$9$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{9}$ |
$[\ ]^{9}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{9} + 72 t^{2} + 15 t + 68$ |
$x - 73$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 73.3.3.6a1.1 |
$9$ |
$( x^{3} + 2 x + 68 )^{3} + 73 x^{2}$ |
$73$ |
$3$ |
$3$ |
$6$ |
$C_9$ (as 9T1) |
$3$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{3}$ |
$[\ ]_{3}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{3} + 2 t + 68$ |
$x^{3} + 73 t^{2}$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 73.3.3.6a1.2 |
$9$ |
$( x^{3} + 2 x + 68 )^{3} + 73 x$ |
$73$ |
$3$ |
$3$ |
$6$ |
$C_9$ (as 9T1) |
$3$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{3}$ |
$[\ ]_{3}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{3} + 2 t + 68$ |
$x^{3} + 73 t$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 73.3.3.6a1.3 |
$9$ |
$( x^{3} + 2 x + 68 )^{3} + 73$ |
$73$ |
$3$ |
$3$ |
$6$ |
$C_3^2$ (as 9T2) |
$3$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{3}$ |
$[\ ]_{3}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{3} + 2 t + 68$ |
$x^{3} + 73$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
