| 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 |
| 197.1.1.0a1.1 |
$1$ |
$x + 195$ |
$197$ |
$1$ |
$1$ |
$0$ |
Trivial (as 1T1) |
$1$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$1$ |
$t + 195$ |
$x - 197$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 197.2.1.0a1.1 |
$2$ |
$x^{2} + 192 x + 2$ |
$197$ |
$2$ |
$1$ |
$0$ |
$C_2$ (as 2T1) |
$2$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t^{2} + 192 t + 2$ |
$x - 197$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 197.1.2.1a1.1 |
$2$ |
$x^{2} + 197$ |
$197$ |
$1$ |
$2$ |
$1$ |
$C_2$ (as 2T1) |
$1$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t + 195$ |
$x^{2} + 197$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 197.1.2.1a1.2 |
$2$ |
$x^{2} + 394$ |
$197$ |
$1$ |
$2$ |
$1$ |
$C_2$ (as 2T1) |
$1$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t + 195$ |
$x^{2} + 394$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 197.3.1.0a1.1 |
$3$ |
$x^{3} + 3 x + 195$ |
$197$ |
$3$ |
$1$ |
$0$ |
$C_3$ (as 3T1) |
$3$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t^{3} + 3 t + 195$ |
$x - 197$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 197.1.3.2a1.1 |
$3$ |
$x^{3} + 197$ |
$197$ |
$1$ |
$3$ |
$2$ |
$S_3$ (as 3T2) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$1$ |
$t + 195$ |
$x^{3} + 197$ |
$[0]$ |
$[2]$ |
$z^2 + 3 z + 3$ |
undefined |
| 197.4.1.0a1.1 |
$4$ |
$x^{4} + 16 x^{2} + 124 x + 2$ |
$197$ |
$4$ |
$1$ |
$0$ |
$C_4$ (as 4T1) |
$4$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{4} + 16 t^{2} + 124 t + 2$ |
$x - 197$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 197.2.2.2a1.1 |
$4$ |
$( x^{2} + 192 x + 2 )^{2} + 197 x$ |
$197$ |
$2$ |
$2$ |
$2$ |
$C_4$ (as 4T1) |
$2$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{2}$ |
$[\ ]_{2}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{2} + 192 t + 2$ |
$x^{2} + 197 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 197.2.2.2a1.2 |
$4$ |
$( x^{2} + 192 x + 2 )^{2} + 197$ |
$197$ |
$2$ |
$2$ |
$2$ |
$C_2^2$ (as 4T2) |
$2$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{2}$ |
$[\ ]_{2}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{2} + 192 t + 2$ |
$x^{2} + 197$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 197.1.4.3a1.1 |
$4$ |
$x^{4} + 197$ |
$197$ |
$1$ |
$4$ |
$3$ |
$C_4$ (as 4T1) |
$1$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t + 195$ |
$x^{4} + 197$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 197.1.4.3a1.2 |
$4$ |
$x^{4} + 394$ |
$197$ |
$1$ |
$4$ |
$3$ |
$C_4$ (as 4T1) |
$1$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t + 195$ |
$x^{4} + 394$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 197.1.4.3a1.3 |
$4$ |
$x^{4} + 788$ |
$197$ |
$1$ |
$4$ |
$3$ |
$C_4$ (as 4T1) |
$1$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t + 195$ |
$x^{4} + 788$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 197.1.4.3a1.4 |
$4$ |
$x^{4} + 1576$ |
$197$ |
$1$ |
$4$ |
$3$ |
$C_4$ (as 4T1) |
$1$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t + 195$ |
$x^{4} + 1576$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 197.5.1.0a1.1 |
$5$ |
$x^{5} + 4 x + 195$ |
$197$ |
$5$ |
$1$ |
$0$ |
$C_5$ (as 5T1) |
$5$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{5}$ |
$[\ ]^{5}$ |
$[\ ]$ |
$[\ ]$ |
$5$ |
$t^{5} + 4 t + 195$ |
$x - 197$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 197.1.5.4a1.1 |
$5$ |
$x^{5} + 197$ |
$197$ |
$1$ |
$5$ |
$4$ |
$F_5$ (as 5T3) |
$4$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{4}$ |
$[\ ]_{5}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$1$ |
$t + 195$ |
$x^{5} + 197$ |
$[0]$ |
$[4]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 197.6.1.0a1.1 |
$6$ |
$x^{6} + x^{4} + 124 x^{3} + 79 x^{2} + 173 x + 2$ |
$197$ |
$6$ |
$1$ |
$0$ |
$C_6$ (as 6T1) |
$6$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{6} + t^{4} + 124 t^{3} + 79 t^{2} + 173 t + 2$ |
$x - 197$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 197.3.2.3a1.1 |
$6$ |
$( x^{3} + 3 x + 195 )^{2} + 197 x$ |
$197$ |
$3$ |
$2$ |
$3$ |
$C_6$ (as 6T1) |
$3$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{3}$ |
$[\ ]_{2}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + 3 t + 195$ |
$x^{2} + 197 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 197.3.2.3a1.2 |
$6$ |
$( x^{3} + 3 x + 195 )^{2} + 197$ |
$197$ |
$3$ |
$2$ |
$3$ |
$C_6$ (as 6T1) |
$3$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{3}$ |
$[\ ]_{2}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + 3 t + 195$ |
$x^{2} + 197$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 197.2.3.4a1.1 |
$6$ |
$( x^{2} + 192 x + 2 )^{3} + 197 x$ |
$197$ |
$2$ |
$3$ |
$4$ |
$S_3\times C_3$ (as 6T5) |
$6$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{6}$ |
$[\ ]_{3}^{6}$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$3$ |
$t^{2} + 192 t + 2$ |
$x^{3} + 985 t + 38415$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 197.2.3.4a1.2 |
$6$ |
$( x^{2} + 192 x + 2 )^{3} + 197$ |
$197$ |
$2$ |
$3$ |
$4$ |
$S_3$ (as 6T2) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 192 t + 2$ |
$x^{3} + 197$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 197.1.6.5a1.1 |
$6$ |
$x^{6} + 197$ |
$197$ |
$1$ |
$6$ |
$5$ |
$D_{6}$ (as 6T3) |
$2$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{2}$ |
$[\ ]_{6}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 195$ |
$x^{6} + 197$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 197.1.6.5a1.2 |
$6$ |
$x^{6} + 394$ |
$197$ |
$1$ |
$6$ |
$5$ |
$D_{6}$ (as 6T3) |
$2$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{2}$ |
$[\ ]_{6}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 195$ |
$x^{6} + 394$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 197.7.1.0a1.1 |
$7$ |
$x^{7} + 6 x + 195$ |
$197$ |
$7$ |
$1$ |
$0$ |
$C_7$ (as 7T1) |
$7$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{7}$ |
$[\ ]^{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t^{7} + 6 t + 195$ |
$x - 197$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 197.1.7.6a1.1 |
$7$ |
$x^{7} + 197$ |
$197$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 195$ |
$x^{7} + 197$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 197.1.7.6a1.2 |
$7$ |
$x^{7} + 394$ |
$197$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 195$ |
$x^{7} + 394$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 197.1.7.6a1.3 |
$7$ |
$x^{7} + 788$ |
$197$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 195$ |
$x^{7} + 788$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 197.1.7.6a1.4 |
$7$ |
$x^{7} + 1576$ |
$197$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 195$ |
$x^{7} + 1576$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 197.1.7.6a1.5 |
$7$ |
$x^{7} + 3152$ |
$197$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 195$ |
$x^{7} + 3152$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 197.1.7.6a1.6 |
$7$ |
$x^{7} + 6304$ |
$197$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 195$ |
$x^{7} + 6304$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 197.1.7.6a1.7 |
$7$ |
$x^{7} + 12608$ |
$197$ |
$1$ |
$7$ |
$6$ |
$C_7$ (as 7T1) |
$1$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}$ |
$[\ ]_{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t + 195$ |
$x^{7} + 12608$ |
$[0]$ |
$[1]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 197.8.1.0a1.1 |
$8$ |
$x^{8} + 176 x^{3} + 96 x^{2} + 29 x + 2$ |
$197$ |
$8$ |
$1$ |
$0$ |
$C_8$ (as 8T1) |
$8$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{8}$ |
$[\ ]^{8}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{8} + 176 t^{3} + 96 t^{2} + 29 t + 2$ |
$x - 197$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 197.4.2.4a1.1 |
$8$ |
$( x^{4} + 16 x^{2} + 124 x + 2 )^{2} + 197 x$ |
$197$ |
$4$ |
$2$ |
$4$ |
$C_8$ (as 8T1) |
$4$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{4}$ |
$[\ ]_{2}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{4} + 16 t^{2} + 124 t + 2$ |
$x^{2} + 197 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 197.4.2.4a1.2 |
$8$ |
$( x^{4} + 16 x^{2} + 124 x + 2 )^{2} + 197$ |
$197$ |
$4$ |
$2$ |
$4$ |
$C_4\times C_2$ (as 8T2) |
$4$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{4}$ |
$[\ ]_{2}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{4} + 16 t^{2} + 124 t + 2$ |
$x^{2} + 197$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 197.2.4.6a1.1 |
$8$ |
$( x^{2} + 192 x + 2 )^{4} + 197 x$ |
$197$ |
$2$ |
$4$ |
$6$ |
$C_8$ (as 8T1) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 192 t + 2$ |
$x^{4} + 197 t$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 197.2.4.6a1.2 |
$8$ |
$( x^{2} + 192 x + 2 )^{4} + 197$ |
$197$ |
$2$ |
$4$ |
$6$ |
$C_4\times C_2$ (as 8T2) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 192 t + 2$ |
$x^{4} + 197$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 197.2.4.6a1.3 |
$8$ |
$( x^{2} + 192 x + 2 )^{4} + 4531 x + 36839$ |
$197$ |
$2$ |
$4$ |
$6$ |
$C_8$ (as 8T1) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 192 t + 2$ |
$x^{4} + 4531 t + 36839$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 197.2.4.6a1.4 |
$8$ |
$( x^{2} + 192 x + 2 )^{4} + 985 x + 38415$ |
$197$ |
$2$ |
$4$ |
$6$ |
$C_4\times C_2$ (as 8T2) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 192 t + 2$ |
$x^{4} + 985 t + 38415$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 197.1.8.7a1.1 |
$8$ |
$x^{8} + 197$ |
$197$ |
$1$ |
$8$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 195$ |
$x^{8} + 197$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 197.1.8.7a1.2 |
$8$ |
$x^{8} + 394$ |
$197$ |
$1$ |
$8$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 195$ |
$x^{8} + 394$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 197.1.8.7a1.3 |
$8$ |
$x^{8} + 788$ |
$197$ |
$1$ |
$8$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 195$ |
$x^{8} + 788$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 197.1.8.7a1.4 |
$8$ |
$x^{8} + 1576$ |
$197$ |
$1$ |
$8$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 195$ |
$x^{8} + 1576$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 197.9.1.0a1.1 |
$9$ |
$x^{9} + 13 x^{3} + 127 x^{2} + 8 x + 195$ |
$197$ |
$9$ |
$1$ |
$0$ |
$C_9$ (as 9T1) |
$9$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{9}$ |
$[\ ]^{9}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{9} + 13 t^{3} + 127 t^{2} + 8 t + 195$ |
$x - 197$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 197.3.3.6a1.1 |
$9$ |
$( x^{3} + 3 x + 195 )^{3} + 197$ |
$197$ |
$3$ |
$3$ |
$6$ |
$S_3\times C_3$ (as 9T4) |
$6$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{6}$ |
$[\ ]_{3}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$3$ |
$t^{3} + 3 t + 195$ |
$x^{3} + 197$ |
$[0]$ |
$[2]$ |
$z^2 + 3 z + 3$ |
undefined |
| 197.1.9.8a1.1 |
$9$ |
$x^{9} + 197$ |
$197$ |
$1$ |
$9$ |
$8$ |
$D_{9}$ (as 9T3) |
$2$ |
$9$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{9}^{2}$ |
$[\ ]_{9}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$1$ |
$t + 195$ |
$x^{9} + 197$ |
$[0]$ |
$[2]$ |
$z^8 + 9 z^7 + 36 z^6 + 84 z^5 + 126 z^4 + 126 z^3 + 84 z^2 + 36 z + 9$ |
undefined |
| 197.10.1.0a1.1 |
$10$ |
$x^{10} + 121 x^{5} + 137 x^{4} + 8 x^{3} + 73 x^{2} + 42 x + 2$ |
$197$ |
$10$ |
$1$ |
$0$ |
$C_{10}$ (as 10T1) |
$10$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{10}$ |
$[\ ]^{10}$ |
$[\ ]$ |
$[\ ]$ |
$10$ |
$t^{10} + 121 t^{5} + 137 t^{4} + 8 t^{3} + 73 t^{2} + 42 t + 2$ |
$x - 197$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 197.5.2.5a1.1 |
$10$ |
$( x^{5} + 4 x + 195 )^{2} + 197 x$ |
$197$ |
$5$ |
$2$ |
$5$ |
$C_{10}$ (as 10T1) |
$5$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{5}$ |
$[\ ]_{2}^{5}$ |
$[\ ]$ |
$[\ ]$ |
$10$ |
$t^{5} + 4 t + 195$ |
$x^{2} + 197 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 197.5.2.5a1.2 |
$10$ |
$( x^{5} + 4 x + 195 )^{2} + 197$ |
$197$ |
$5$ |
$2$ |
$5$ |
$C_{10}$ (as 10T1) |
$5$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{5}$ |
$[\ ]_{2}^{5}$ |
$[\ ]$ |
$[\ ]$ |
$10$ |
$t^{5} + 4 t + 195$ |
$x^{2} + 197$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 197.2.5.8a1.1 |
$10$ |
$( x^{2} + 192 x + 2 )^{5} + 197$ |
$197$ |
$2$ |
$5$ |
$8$ |
$F_5$ (as 10T4) |
$4$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{4}$ |
$[\ ]_{5}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t^{2} + 192 t + 2$ |
$x^{5} + 197$ |
$[0]$ |
$[2]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 197.1.10.9a1.1 |
$10$ |
$x^{10} + 197$ |
$197$ |
$1$ |
$10$ |
$9$ |
$F_{5}\times C_2$ (as 10T5) |
$4$ |
$10$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{10}^{4}$ |
$[\ ]_{10}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 195$ |
$x^{10} + 197$ |
$[0]$ |
$[4]$ |
$z^9 + 10 z^8 + 45 z^7 + 120 z^6 + 13 z^5 + 55 z^4 + 13 z^3 + 120 z^2 + 45 z + 10$ |
undefined |
| 197.1.10.9a1.2 |
$10$ |
$x^{10} + 394$ |
$197$ |
$1$ |
$10$ |
$9$ |
$F_{5}\times C_2$ (as 10T5) |
$4$ |
$10$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{10}^{4}$ |
$[\ ]_{10}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 195$ |
$x^{10} + 394$ |
$[0]$ |
$[4]$ |
$z^9 + 10 z^8 + 45 z^7 + 120 z^6 + 13 z^5 + 55 z^4 + 13 z^3 + 120 z^2 + 45 z + 10$ |
undefined |
