| 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 |
| 173.1.1.0a1.1 |
$1$ |
$x + 171$ |
$173$ |
$1$ |
$1$ |
$0$ |
Trivial (as 1T1) |
$1$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]$ |
$1$ |
$t + 171$ |
$x - 173$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 173.2.1.0a1.1 |
$2$ |
$x^{2} + 169 x + 2$ |
$173$ |
$2$ |
$1$ |
$0$ |
$C_2$ (as 2T1) |
$2$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t^{2} + 169 t + 2$ |
$x - 173$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 173.1.2.1a1.1 |
$2$ |
$x^{2} + 173$ |
$173$ |
$1$ |
$2$ |
$1$ |
$C_2$ (as 2T1) |
$1$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t + 171$ |
$x^{2} + 173$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 173.1.2.1a1.2 |
$2$ |
$x^{2} + 346$ |
$173$ |
$1$ |
$2$ |
$1$ |
$C_2$ (as 2T1) |
$1$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}$ |
$[\ ]_{2}$ |
$[\ ]$ |
$[\ ]$ |
$2$ |
$t + 171$ |
$x^{2} + 346$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 173.3.1.0a1.1 |
$3$ |
$x^{3} + 2 x + 171$ |
$173$ |
$3$ |
$1$ |
$0$ |
$C_3$ (as 3T1) |
$3$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$[\ ]$ |
$[\ ]$ |
$3$ |
$t^{3} + 2 t + 171$ |
$x - 173$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 173.1.3.2a1.1 |
$3$ |
$x^{3} + 173$ |
$173$ |
$1$ |
$3$ |
$2$ |
$S_3$ (as 3T2) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$1$ |
$t + 171$ |
$x^{3} + 173$ |
$[0]$ |
$[2]$ |
$z^2 + 3 z + 3$ |
undefined |
| 173.4.1.0a1.1 |
$4$ |
$x^{4} + x^{2} + 102 x + 2$ |
$173$ |
$4$ |
$1$ |
$0$ |
$C_4$ (as 4T1) |
$4$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{4} + t^{2} + 102 t + 2$ |
$x - 173$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 173.2.2.2a1.1 |
$4$ |
$( x^{2} + 169 x + 2 )^{2} + 173 x$ |
$173$ |
$2$ |
$2$ |
$2$ |
$C_4$ (as 4T1) |
$2$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{2}$ |
$[\ ]_{2}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{2} + 169 t + 2$ |
$x^{2} + 173 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 173.2.2.2a1.2 |
$4$ |
$( x^{2} + 169 x + 2 )^{2} + 173$ |
$173$ |
$2$ |
$2$ |
$2$ |
$C_2^2$ (as 4T2) |
$2$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{2}$ |
$[\ ]_{2}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t^{2} + 169 t + 2$ |
$x^{2} + 173$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 173.1.4.3a1.1 |
$4$ |
$x^{4} + 173$ |
$173$ |
$1$ |
$4$ |
$3$ |
$C_4$ (as 4T1) |
$1$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t + 171$ |
$x^{4} + 173$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 173.1.4.3a1.2 |
$4$ |
$x^{4} + 346$ |
$173$ |
$1$ |
$4$ |
$3$ |
$C_4$ (as 4T1) |
$1$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t + 171$ |
$x^{4} + 346$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 173.1.4.3a1.3 |
$4$ |
$x^{4} + 692$ |
$173$ |
$1$ |
$4$ |
$3$ |
$C_4$ (as 4T1) |
$1$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t + 171$ |
$x^{4} + 692$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 173.1.4.3a1.4 |
$4$ |
$x^{4} + 1384$ |
$173$ |
$1$ |
$4$ |
$3$ |
$C_4$ (as 4T1) |
$1$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}$ |
$[\ ]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$4$ |
$t + 171$ |
$x^{4} + 1384$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 173.5.1.0a1.1 |
$5$ |
$x^{5} + 6 x + 171$ |
$173$ |
$5$ |
$1$ |
$0$ |
$C_5$ (as 5T1) |
$5$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{5}$ |
$[\ ]^{5}$ |
$[\ ]$ |
$[\ ]$ |
$5$ |
$t^{5} + 6 t + 171$ |
$x - 173$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 173.1.5.4a1.1 |
$5$ |
$x^{5} + 173$ |
$173$ |
$1$ |
$5$ |
$4$ |
$F_5$ (as 5T3) |
$4$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{4}$ |
$[\ ]_{5}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$1$ |
$t + 171$ |
$x^{5} + 173$ |
$[0]$ |
$[4]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 173.6.1.0a1.1 |
$6$ |
$x^{6} + x^{4} + 27 x^{3} + 134 x^{2} + 107 x + 2$ |
$173$ |
$6$ |
$1$ |
$0$ |
$C_6$ (as 6T1) |
$6$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{6} + t^{4} + 27 t^{3} + 134 t^{2} + 107 t + 2$ |
$x - 173$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 173.3.2.3a1.1 |
$6$ |
$( x^{3} + 2 x + 171 )^{2} + 173 x$ |
$173$ |
$3$ |
$2$ |
$3$ |
$C_6$ (as 6T1) |
$3$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{3}$ |
$[\ ]_{2}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + 2 t + 171$ |
$x^{2} + 173 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 173.3.2.3a1.2 |
$6$ |
$( x^{3} + 2 x + 171 )^{2} + 173$ |
$173$ |
$3$ |
$2$ |
$3$ |
$C_6$ (as 6T1) |
$3$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{3}$ |
$[\ ]_{2}^{3}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{3} + 2 t + 171$ |
$x^{2} + 173$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 173.2.3.4a1.1 |
$6$ |
$( x^{2} + 169 x + 2 )^{3} + 173 x$ |
$173$ |
$2$ |
$3$ |
$4$ |
$S_3\times C_3$ (as 6T5) |
$6$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{6}$ |
$[\ ]_{3}^{6}$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$3$ |
$t^{2} + 169 t + 2$ |
$x^{3} + 692 t + 29583$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 173.2.3.4a1.2 |
$6$ |
$( x^{2} + 169 x + 2 )^{3} + 173$ |
$173$ |
$2$ |
$3$ |
$4$ |
$S_3$ (as 6T2) |
$2$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{2}$ |
$[\ ]_{3}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$6$ |
$t^{2} + 169 t + 2$ |
$x^{3} + 173$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
| 173.1.6.5a1.1 |
$6$ |
$x^{6} + 173$ |
$173$ |
$1$ |
$6$ |
$5$ |
$D_{6}$ (as 6T3) |
$2$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{2}$ |
$[\ ]_{6}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 171$ |
$x^{6} + 173$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 173.1.6.5a1.2 |
$6$ |
$x^{6} + 346$ |
$173$ |
$1$ |
$6$ |
$5$ |
$D_{6}$ (as 6T3) |
$2$ |
$6$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{6}^{2}$ |
$[\ ]_{6}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 171$ |
$x^{6} + 346$ |
$[0]$ |
$[2]$ |
$z^5 + 6 z^4 + 15 z^3 + 20 z^2 + 15 z + 6$ |
undefined |
| 173.7.1.0a1.1 |
$7$ |
$x^{7} + 5 x + 171$ |
$173$ |
$7$ |
$1$ |
$0$ |
$C_7$ (as 7T1) |
$7$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{7}$ |
$[\ ]^{7}$ |
$[\ ]$ |
$[\ ]$ |
$7$ |
$t^{7} + 5 t + 171$ |
$x - 173$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 173.1.7.6a1.1 |
$7$ |
$x^{7} + 173$ |
$173$ |
$1$ |
$7$ |
$6$ |
$F_7$ (as 7T4) |
$6$ |
$7$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{7}^{6}$ |
$[\ ]_{7}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$1$ |
$t + 171$ |
$x^{7} + 173$ |
$[0]$ |
$[6]$ |
$z^6 + 7 z^5 + 21 z^4 + 35 z^3 + 35 z^2 + 21 z + 7$ |
undefined |
| 173.8.1.0a1.1 |
$8$ |
$x^{8} + 2 x^{4} + 125 x^{3} + 158 x^{2} + 27 x + 2$ |
$173$ |
$8$ |
$1$ |
$0$ |
$C_8$ (as 8T1) |
$8$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{8}$ |
$[\ ]^{8}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{8} + 2 t^{4} + 125 t^{3} + 158 t^{2} + 27 t + 2$ |
$x - 173$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 173.4.2.4a1.1 |
$8$ |
$( x^{4} + x^{2} + 102 x + 2 )^{2} + 173 x$ |
$173$ |
$4$ |
$2$ |
$4$ |
$C_8$ (as 8T1) |
$4$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{4}$ |
$[\ ]_{2}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{4} + t^{2} + 102 t + 2$ |
$x^{2} + 173 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 173.4.2.4a1.2 |
$8$ |
$( x^{4} + x^{2} + 102 x + 2 )^{2} + 173$ |
$173$ |
$4$ |
$2$ |
$4$ |
$C_4\times C_2$ (as 8T2) |
$4$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{4}$ |
$[\ ]_{2}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{4} + t^{2} + 102 t + 2$ |
$x^{2} + 173$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 173.2.4.6a1.1 |
$8$ |
$( x^{2} + 169 x + 2 )^{4} + 173 x$ |
$173$ |
$2$ |
$4$ |
$6$ |
$C_8$ (as 8T1) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 169 t + 2$ |
$x^{4} + 173 t$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 173.2.4.6a1.2 |
$8$ |
$( x^{2} + 169 x + 2 )^{4} + 173$ |
$173$ |
$2$ |
$4$ |
$6$ |
$C_4\times C_2$ (as 8T2) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 169 t + 2$ |
$x^{4} + 173$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 173.2.4.6a1.3 |
$8$ |
$( x^{2} + 169 x + 2 )^{4} + 2422 x + 28545$ |
$173$ |
$2$ |
$4$ |
$6$ |
$C_8$ (as 8T1) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 169 t + 2$ |
$x^{4} + 2422 t + 28545$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 173.2.4.6a1.4 |
$8$ |
$( x^{2} + 169 x + 2 )^{4} + 692 x + 29583$ |
$173$ |
$2$ |
$4$ |
$6$ |
$C_4\times C_2$ (as 8T2) |
$2$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{2}$ |
$[\ ]_{4}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$8$ |
$t^{2} + 169 t + 2$ |
$x^{4} + 692 t + 29583$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 173.1.8.7a1.1 |
$8$ |
$x^{8} + 173$ |
$173$ |
$1$ |
$8$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 171$ |
$x^{8} + 173$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 173.1.8.7a1.2 |
$8$ |
$x^{8} + 346$ |
$173$ |
$1$ |
$8$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 171$ |
$x^{8} + 346$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 173.1.8.7a1.3 |
$8$ |
$x^{8} + 692$ |
$173$ |
$1$ |
$8$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 171$ |
$x^{8} + 692$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 173.1.8.7a1.4 |
$8$ |
$x^{8} + 1384$ |
$173$ |
$1$ |
$8$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 171$ |
$x^{8} + 1384$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 173.9.1.0a1.1 |
$9$ |
$x^{9} + 56 x^{2} + 104 x + 171$ |
$173$ |
$9$ |
$1$ |
$0$ |
$C_9$ (as 9T1) |
$9$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{9}$ |
$[\ ]^{9}$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t^{9} + 56 t^{2} + 104 t + 171$ |
$x - 173$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 173.3.3.6a1.1 |
$9$ |
$( x^{3} + 2 x + 171 )^{3} + 173$ |
$173$ |
$3$ |
$3$ |
$6$ |
$S_3\times C_3$ (as 9T4) |
$6$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{6}$ |
$[\ ]_{3}^{6}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$3$ |
$t^{3} + 2 t + 171$ |
$x^{3} + 173$ |
$[0]$ |
$[2]$ |
$z^2 + 3 z + 3$ |
undefined |
| 173.1.9.8a1.1 |
$9$ |
$x^{9} + 173$ |
$173$ |
$1$ |
$9$ |
$8$ |
$(C_9:C_3):C_2$ (as 9T10) |
$6$ |
$9$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{9}^{6}$ |
$[\ ]_{9}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$1$ |
$t + 171$ |
$x^{9} + 173$ |
$[0]$ |
$[6]$ |
$z^8 + 9 z^7 + 36 z^6 + 84 z^5 + 126 z^4 + 126 z^3 + 84 z^2 + 36 z + 9$ |
undefined |
| 173.10.1.0a1.1 |
$10$ |
$x^{10} + x^{6} + 156 x^{5} + 164 x^{4} + 48 x^{3} + 106 x^{2} + 58 x + 2$ |
$173$ |
$10$ |
$1$ |
$0$ |
$C_{10}$ (as 10T1) |
$10$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{10}$ |
$[\ ]^{10}$ |
$[\ ]$ |
$[\ ]$ |
$10$ |
$t^{10} + t^{6} + 156 t^{5} + 164 t^{4} + 48 t^{3} + 106 t^{2} + 58 t + 2$ |
$x - 173$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 173.5.2.5a1.1 |
$10$ |
$( x^{5} + 6 x + 171 )^{2} + 173 x$ |
$173$ |
$5$ |
$2$ |
$5$ |
$C_{10}$ (as 10T1) |
$5$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{5}$ |
$[\ ]_{2}^{5}$ |
$[\ ]$ |
$[\ ]$ |
$10$ |
$t^{5} + 6 t + 171$ |
$x^{2} + 173 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 173.5.2.5a1.2 |
$10$ |
$( x^{5} + 6 x + 171 )^{2} + 173$ |
$173$ |
$5$ |
$2$ |
$5$ |
$C_{10}$ (as 10T1) |
$5$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{5}$ |
$[\ ]_{2}^{5}$ |
$[\ ]$ |
$[\ ]$ |
$10$ |
$t^{5} + 6 t + 171$ |
$x^{2} + 173$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 173.2.5.8a1.1 |
$10$ |
$( x^{2} + 169 x + 2 )^{5} + 173$ |
$173$ |
$2$ |
$5$ |
$8$ |
$F_5$ (as 10T4) |
$4$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{4}$ |
$[\ ]_{5}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t^{2} + 169 t + 2$ |
$x^{5} + 173$ |
$[0]$ |
$[2]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 173.1.10.9a1.1 |
$10$ |
$x^{10} + 173$ |
$173$ |
$1$ |
$10$ |
$9$ |
$F_{5}\times C_2$ (as 10T5) |
$4$ |
$10$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{10}^{4}$ |
$[\ ]_{10}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 171$ |
$x^{10} + 173$ |
$[0]$ |
$[4]$ |
$z^9 + 10 z^8 + 45 z^7 + 120 z^6 + 37 z^5 + 79 z^4 + 37 z^3 + 120 z^2 + 45 z + 10$ |
undefined |
| 173.1.10.9a1.2 |
$10$ |
$x^{10} + 346$ |
$173$ |
$1$ |
$10$ |
$9$ |
$F_{5}\times C_2$ (as 10T5) |
$4$ |
$10$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{10}^{4}$ |
$[\ ]_{10}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 171$ |
$x^{10} + 346$ |
$[0]$ |
$[4]$ |
$z^9 + 10 z^8 + 45 z^7 + 120 z^6 + 37 z^5 + 79 z^4 + 37 z^3 + 120 z^2 + 45 z + 10$ |
undefined |
| 173.11.1.0a1.1 |
$11$ |
$x^{11} + 12 x + 171$ |
$173$ |
$11$ |
$1$ |
$0$ |
$C_{11}$ (as 11T1) |
$11$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{11}$ |
$[\ ]^{11}$ |
$[\ ]$ |
$[\ ]$ |
$11$ |
$t^{11} + 12 t + 171$ |
$x - 173$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 173.1.11.10a1.1 |
$11$ |
$x^{11} + 173$ |
$173$ |
$1$ |
$11$ |
$10$ |
$F_{11}$ (as 11T4) |
$10$ |
$11$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{11}^{10}$ |
$[\ ]_{11}^{10}$ |
$[\ ]^{10}$ |
$[\ ]^{10}$ |
$1$ |
$t + 171$ |
$x^{11} + 173$ |
$[0]$ |
$[10]$ |
$z^{10} + 11 z^9 + 55 z^8 + 165 z^7 + 157 z^6 + 116 z^5 + 116 z^4 + 157 z^3 + 165 z^2 + 55 z + 11$ |
undefined |
| 173.12.1.0a1.1 |
$12$ |
$x^{12} + x^{8} + 29 x^{7} + 64 x^{6} + 46 x^{5} + 166 x^{4} + 159 x^{2} + 22 x + 2$ |
$173$ |
$12$ |
$1$ |
$0$ |
$C_{12}$ (as 12T1) |
$12$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{12}$ |
$[\ ]^{12}$ |
$[\ ]$ |
$[\ ]$ |
$12$ |
$t^{12} + t^{8} + 29 t^{7} + 64 t^{6} + 46 t^{5} + 166 t^{4} + 159 t^{2} + 22 t + 2$ |
$x - 173$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 173.6.2.6a1.1 |
$12$ |
$( x^{6} + x^{4} + 27 x^{3} + 134 x^{2} + 107 x + 2 )^{2} + 173 x$ |
$173$ |
$6$ |
$2$ |
$6$ |
$C_{12}$ (as 12T1) |
$6$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{6}$ |
$[\ ]_{2}^{6}$ |
$[\ ]$ |
$[\ ]$ |
$12$ |
$t^{6} + t^{4} + 27 t^{3} + 134 t^{2} + 107 t + 2$ |
$x^{2} + 173 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 173.6.2.6a1.2 |
$12$ |
$( x^{6} + x^{4} + 27 x^{3} + 134 x^{2} + 107 x + 2 )^{2} + 173$ |
$173$ |
$6$ |
$2$ |
$6$ |
$C_6\times C_2$ (as 12T2) |
$6$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{6}$ |
$[\ ]_{2}^{6}$ |
$[\ ]$ |
$[\ ]$ |
$12$ |
$t^{6} + t^{4} + 27 t^{3} + 134 t^{2} + 107 t + 2$ |
$x^{2} + 173$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 173.4.3.8a1.1 |
$12$ |
$( x^{4} + x^{2} + 102 x + 2 )^{3} + 173 x$ |
$173$ |
$4$ |
$3$ |
$8$ |
$C_3\times (C_3 : C_4)$ (as 12T19) |
$12$ |
$3$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{3}^{12}$ |
$[\ ]_{3}^{12}$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$6$ |
$t^{4} + t^{2} + 102 t + 2$ |
$x^{3} + 173 t$ |
$[0]$ |
$[1]$ |
$z^2 + 3 z + 3$ |
undefined |
