| 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 |
| 2.1.20.59a1.8194 |
$20$ |
$x^{20} + 4 x^{10} + 18$ |
$2$ |
$1$ |
$20$ |
$59$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 1$ |
$x^{20} + 4 x^{10} + 18$ |
$[40, 20, 0]$ |
$[4, 1, 1]$ |
$z^{16} + z^{12} + 1,z^2 + 1,z + 1$ |
$[5, 15, 35]$ |
| 2.1.20.59a1.8201 |
$20$ |
$x^{20} + 8 x^{15} + 4 x^{10} + 2$ |
$2$ |
$1$ |
$20$ |
$59$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 1$ |
$x^{20} + 8 x^{15} + 4 x^{10} + 2$ |
$[40, 20, 0]$ |
$[4, 1, 1]$ |
$z^{16} + z^{12} + 1,z^2 + 1,z + 1$ |
$[5, 15, 35]$ |
| 2.1.20.59a1.9257 |
$20$ |
$x^{20} + 8 x^{15} + 4 x^{10} + 10$ |
$2$ |
$1$ |
$20$ |
$59$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 1$ |
$x^{20} + 8 x^{15} + 4 x^{10} + 10$ |
$[40, 20, 0]$ |
$[4, 1, 1]$ |
$z^{16} + z^{12} + 1,z^2 + 1,z + 1$ |
$[5, 15, 35]$ |
| 5.4.5.20a1.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 20 ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + 20 x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^3 + 3 t + 4)$ |
undefined |
| 5.4.5.20a2.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 15 ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + 15 x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^3 + t + 3)$ |
undefined |
| 5.4.5.28a1.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 15 ( x^{4} + 4 x^{2} + 4 x + 2 )^{3} + 5$ |
$5$ |
$4$ |
$5$ |
$28$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{7}{4}]$ |
$[\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + 15 x^{3} + 5$ |
$[3, 0]$ |
$[1]$ |
$z + (2 t^3 + t^2)$ |
undefined |
| 5.4.5.28a2.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 5 ( x^{4} + 4 x^{2} + 4 x + 2 )^{3} + 5$ |
$5$ |
$4$ |
$5$ |
$28$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{7}{4}]$ |
$[\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + 5 x^{3} + 5$ |
$[3, 0]$ |
$[1]$ |
$z + (4 t^3 + 2 t^2)$ |
undefined |
| 5.2.10.22a11.1 |
$20$ |
$( x^{2} + 4 x + 2 )^{10} + 5 ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$5$ |
$2$ |
$10$ |
$22$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{2} + 4 t + 2$ |
$x^{10} + \left(5 t + 15\right) x^{2} + 5 t$ |
$[2, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^2 + (t + 4)$ |
undefined |
| 5.2.10.30a11.3 |
$20$ |
$( x^{2} + 4 x + 2 )^{10} + 5 ( x^{2} + 4 x + 2 )^{7} + \left(20 x + 20\right) ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$5$ |
$2$ |
$10$ |
$30$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{7}{4}]$ |
$[\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{2} + 4 t + 2$ |
$x^{10} + \left(20 t + 20\right) x^{6} + 5 t$ |
$[6, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^2 + (t + 2)$ |
undefined |
| 5.2.10.30a13.6 |
$20$ |
$( x^{2} + 4 x + 2 )^{10} + 20 ( x^{2} + 4 x + 2 )^{7} + \left(5 x + 5\right) ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$5$ |
$2$ |
$10$ |
$30$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{7}{4}]$ |
$[\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{2} + 4 t + 2$ |
$x^{10} + \left(5 t + 5\right) x^{6} + 5 t$ |
$[6, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^2 + (4 t + 3)$ |
undefined |
| 5.2.10.38a2.165 |
$20$ |
$( x^{2} + 4 x + 2 )^{10} + \left(95 x + 115\right) ( x^{2} + 4 x + 2 )^{2} + \left(105 x + 110\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$5$ |
$2$ |
$10$ |
$38$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{9}{4}]$ |
$[\frac{5}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{2} + 4 t + 2$ |
$x^{10} + \left(50 t + 75\right) x^{2} + 5 t$ |
$[10, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^2 + 2 t$ |
undefined |
| 5.1.20.23a2.2 |
$20$ |
$x^{20} + 20 x^{4} + 10$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 20 x^{4} + 10$ |
$[4, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 2$ |
undefined |
| 5.1.20.23a2.3 |
$20$ |
$x^{20} + 5 x^{4} + 15$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 5 x^{4} + 15$ |
$[4, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 2$ |
undefined |
| 5.1.20.23a3.1 |
$20$ |
$x^{20} + 15 x^{4} + 5$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 15 x^{4} + 5$ |
$[4, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
$[1, 9]$ |
| 5.1.20.23a3.3 |
$20$ |
$x^{20} + 20 x^{4} + 15$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 20 x^{4} + 15$ |
$[4, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
undefined |
| 5.1.20.27a2.1 |
$20$ |
$x^{20} + 5 x^{8} + 5$ |
$5$ |
$1$ |
$20$ |
$27$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 5 x^{8} + 5$ |
$[8, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 2$ |
$[1, 13]$ |
| 5.1.20.27a2.3 |
$20$ |
$x^{20} + 10 x^{8} + 10$ |
$5$ |
$1$ |
$20$ |
$27$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 10 x^{8} + 10$ |
$[8, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 2$ |
undefined |
| 5.1.20.27a2.5 |
$20$ |
$x^{20} + 15 x^{8} + 15$ |
$5$ |
$1$ |
$20$ |
$27$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 15 x^{8} + 15$ |
$[8, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 2$ |
undefined |
| 5.1.20.27a2.7 |
$20$ |
$x^{20} + 20 x^{8} + 20$ |
$5$ |
$1$ |
$20$ |
$27$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 20 x^{8} + 20$ |
$[8, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 2$ |
undefined |
| 5.1.20.27a3.1 |
$20$ |
$x^{20} + 20 x^{8} + 5$ |
$5$ |
$1$ |
$20$ |
$27$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 20 x^{8} + 5$ |
$[8, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
$[1, 13]$ |
| 5.1.20.27a3.3 |
$20$ |
$x^{20} + 15 x^{8} + 10$ |
$5$ |
$1$ |
$20$ |
$27$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 15 x^{8} + 10$ |
$[8, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
undefined |
| 5.1.20.27a3.5 |
$20$ |
$x^{20} + 10 x^{8} + 15$ |
$5$ |
$1$ |
$20$ |
$27$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 10 x^{8} + 15$ |
$[8, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
undefined |
| 5.1.20.27a3.7 |
$20$ |
$x^{20} + 5 x^{8} + 20$ |
$5$ |
$1$ |
$20$ |
$27$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 5 x^{8} + 20$ |
$[8, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
undefined |
| 5.1.20.31a2.9 |
$20$ |
$x^{20} + 15 x^{12} + 10$ |
$5$ |
$1$ |
$20$ |
$31$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{7}{4}]$ |
$[\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 15 x^{12} + 10$ |
$[12, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 2$ |
undefined |
| 5.1.20.31a2.17 |
$20$ |
$x^{20} + 10 x^{12} + 15$ |
$5$ |
$1$ |
$20$ |
$31$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{7}{4}]$ |
$[\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 10 x^{12} + 15$ |
$[12, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 2$ |
undefined |
| 5.1.20.31a3.1 |
$20$ |
$x^{20} + 5 x^{12} + 5$ |
$5$ |
$1$ |
$20$ |
$31$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{7}{4}]$ |
$[\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 5 x^{12} + 5$ |
$[12, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
$[1, 17]$ |
| 5.1.20.31a3.9 |
$20$ |
$x^{20} + 10 x^{12} + 10$ |
$5$ |
$1$ |
$20$ |
$31$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{7}{4}]$ |
$[\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 10 x^{12} + 10$ |
$[12, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
undefined |
| 5.1.20.31a3.17 |
$20$ |
$x^{20} + 15 x^{12} + 15$ |
$5$ |
$1$ |
$20$ |
$31$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{7}{4}]$ |
$[\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 15 x^{12} + 15$ |
$[12, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
undefined |
| 5.1.20.39a2.1 |
$20$ |
$x^{20} + 15$ |
$5$ |
$1$ |
$20$ |
$39$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{9}{4}]$ |
$[\frac{5}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 15$ |
$[20, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 2$ |
undefined |
| 5.1.20.39a3.2 |
$20$ |
$x^{20} + 25 x^{4} + 10$ |
$5$ |
$1$ |
$20$ |
$39$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{9}{4}]$ |
$[\frac{5}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 25 x^{4} + 10$ |
$[20, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
undefined |
| 5.1.20.39a3.4 |
$20$ |
$x^{20} + 75 x^{4} + 10$ |
$5$ |
$1$ |
$20$ |
$39$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{9}{4}]$ |
$[\frac{5}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 75 x^{4} + 10$ |
$[20, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
undefined |
| 13.1.20.19a1.1 |
$20$ |
$x^{20} + 13$ |
$13$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 11$ |
$x^{20} + 13$ |
$[0]$ |
$[4]$ |
$z^{19} + 7 z^{18} + 8 z^{17} + 9 z^{16} + 9 z^{15} + 8 z^{14} + 7 z^{13} + z^{12} + z^6 + 7 z^5 + 8 z^4 + 9 z^3 + 9 z^2 + 8 z + 7$ |
undefined |
| 13.1.20.19a1.2 |
$20$ |
$x^{20} + 26$ |
$13$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 11$ |
$x^{20} + 26$ |
$[0]$ |
$[4]$ |
$z^{19} + 7 z^{18} + 8 z^{17} + 9 z^{16} + 9 z^{15} + 8 z^{14} + 7 z^{13} + z^{12} + z^6 + 7 z^5 + 8 z^4 + 9 z^3 + 9 z^2 + 8 z + 7$ |
undefined |
| 13.1.20.19a1.3 |
$20$ |
$x^{20} + 52$ |
$13$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 11$ |
$x^{20} + 52$ |
$[0]$ |
$[4]$ |
$z^{19} + 7 z^{18} + 8 z^{17} + 9 z^{16} + 9 z^{15} + 8 z^{14} + 7 z^{13} + z^{12} + z^6 + 7 z^5 + 8 z^4 + 9 z^3 + 9 z^2 + 8 z + 7$ |
undefined |
| 13.1.20.19a1.4 |
$20$ |
$x^{20} + 104$ |
$13$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 11$ |
$x^{20} + 104$ |
$[0]$ |
$[4]$ |
$z^{19} + 7 z^{18} + 8 z^{17} + 9 z^{16} + 9 z^{15} + 8 z^{14} + 7 z^{13} + z^{12} + z^6 + 7 z^5 + 8 z^4 + 9 z^3 + 9 z^2 + 8 z + 7$ |
undefined |
| 17.1.20.19a1.1 |
$20$ |
$x^{20} + 17$ |
$17$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 14$ |
$x^{20} + 17$ |
$[0]$ |
$[4]$ |
$z^{19} + 3 z^{18} + 3 z^{17} + z^{16} + z^2 + 3 z + 3$ |
undefined |
| 17.1.20.19a1.2 |
$20$ |
$x^{20} + 51$ |
$17$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 14$ |
$x^{20} + 51$ |
$[0]$ |
$[4]$ |
$z^{19} + 3 z^{18} + 3 z^{17} + z^{16} + z^2 + 3 z + 3$ |
undefined |
| 17.1.20.19a1.3 |
$20$ |
$x^{20} + 153$ |
$17$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 14$ |
$x^{20} + 153$ |
$[0]$ |
$[4]$ |
$z^{19} + 3 z^{18} + 3 z^{17} + z^{16} + z^2 + 3 z + 3$ |
undefined |
| 17.1.20.19a1.4 |
$20$ |
$x^{20} + 170$ |
$17$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 14$ |
$x^{20} + 170$ |
$[0]$ |
$[4]$ |
$z^{19} + 3 z^{18} + 3 z^{17} + z^{16} + z^2 + 3 z + 3$ |
undefined |
| 37.1.20.19a1.1 |
$20$ |
$x^{20} + 37$ |
$37$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 35$ |
$x^{20} + 37$ |
$[0]$ |
$[4]$ |
$z^{19} + 20 z^{18} + 5 z^{17} + 30 z^{16} + 35 z^{15} + z^{14} + 21 z^{13} + 5 z^{12} + 22 z^{11} + 17 z^{10} + 15 z^9 + 17 z^8 + 22 z^7 + 5 z^6 + 21 z^5 + z^4 + 35 z^3 + 30 z^2 + 5 z + 20$ |
undefined |
| 37.1.20.19a1.2 |
$20$ |
$x^{20} + 74$ |
$37$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 35$ |
$x^{20} + 74$ |
$[0]$ |
$[4]$ |
$z^{19} + 20 z^{18} + 5 z^{17} + 30 z^{16} + 35 z^{15} + z^{14} + 21 z^{13} + 5 z^{12} + 22 z^{11} + 17 z^{10} + 15 z^9 + 17 z^8 + 22 z^7 + 5 z^6 + 21 z^5 + z^4 + 35 z^3 + 30 z^2 + 5 z + 20$ |
undefined |
| 37.1.20.19a1.3 |
$20$ |
$x^{20} + 148$ |
$37$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 35$ |
$x^{20} + 148$ |
$[0]$ |
$[4]$ |
$z^{19} + 20 z^{18} + 5 z^{17} + 30 z^{16} + 35 z^{15} + z^{14} + 21 z^{13} + 5 z^{12} + 22 z^{11} + 17 z^{10} + 15 z^9 + 17 z^8 + 22 z^7 + 5 z^6 + 21 z^5 + z^4 + 35 z^3 + 30 z^2 + 5 z + 20$ |
undefined |
| 37.1.20.19a1.4 |
$20$ |
$x^{20} + 296$ |
$37$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 35$ |
$x^{20} + 296$ |
$[0]$ |
$[4]$ |
$z^{19} + 20 z^{18} + 5 z^{17} + 30 z^{16} + 35 z^{15} + z^{14} + 21 z^{13} + 5 z^{12} + 22 z^{11} + 17 z^{10} + 15 z^9 + 17 z^8 + 22 z^7 + 5 z^6 + 21 z^5 + z^4 + 35 z^3 + 30 z^2 + 5 z + 20$ |
undefined |
| 53.1.20.19a1.1 |
$20$ |
$x^{20} + 53$ |
$53$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 51$ |
$x^{20} + 53$ |
$[0]$ |
$[4]$ |
$z^{19} + 20 z^{18} + 31 z^{17} + 27 z^{16} + 22 z^{15} + 28 z^{14} + 17 z^{13} + 34 z^{12} + 42 z^{11} + 3 z^{10} + 51 z^9 + 3 z^8 + 42 z^7 + 34 z^6 + 17 z^5 + 28 z^4 + 22 z^3 + 27 z^2 + 31 z + 20$ |
undefined |
| 53.1.20.19a1.2 |
$20$ |
$x^{20} + 106$ |
$53$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 51$ |
$x^{20} + 106$ |
$[0]$ |
$[4]$ |
$z^{19} + 20 z^{18} + 31 z^{17} + 27 z^{16} + 22 z^{15} + 28 z^{14} + 17 z^{13} + 34 z^{12} + 42 z^{11} + 3 z^{10} + 51 z^9 + 3 z^8 + 42 z^7 + 34 z^6 + 17 z^5 + 28 z^4 + 22 z^3 + 27 z^2 + 31 z + 20$ |
undefined |
| 53.1.20.19a1.3 |
$20$ |
$x^{20} + 212$ |
$53$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 51$ |
$x^{20} + 212$ |
$[0]$ |
$[4]$ |
$z^{19} + 20 z^{18} + 31 z^{17} + 27 z^{16} + 22 z^{15} + 28 z^{14} + 17 z^{13} + 34 z^{12} + 42 z^{11} + 3 z^{10} + 51 z^9 + 3 z^8 + 42 z^7 + 34 z^6 + 17 z^5 + 28 z^4 + 22 z^3 + 27 z^2 + 31 z + 20$ |
undefined |
| 53.1.20.19a1.4 |
$20$ |
$x^{20} + 424$ |
$53$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 51$ |
$x^{20} + 424$ |
$[0]$ |
$[4]$ |
$z^{19} + 20 z^{18} + 31 z^{17} + 27 z^{16} + 22 z^{15} + 28 z^{14} + 17 z^{13} + 34 z^{12} + 42 z^{11} + 3 z^{10} + 51 z^9 + 3 z^8 + 42 z^7 + 34 z^6 + 17 z^5 + 28 z^4 + 22 z^3 + 27 z^2 + 31 z + 20$ |
undefined |
| 73.1.20.19a1.1 |
$20$ |
$x^{20} + 73$ |
$73$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 68$ |
$x^{20} + 73$ |
$[0]$ |
$[4]$ |
$z^{19} + 20 z^{18} + 44 z^{17} + 45 z^{16} + 27 z^{15} + 28 z^{14} + 70 z^{13} + 67 z^{12} + 45 z^{11} + 60 z^{10} + 66 z^9 + 60 z^8 + 45 z^7 + 67 z^6 + 70 z^5 + 28 z^4 + 27 z^3 + 45 z^2 + 44 z + 20$ |
undefined |
| 73.1.20.19a1.2 |
$20$ |
$x^{20} + 365$ |
$73$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 68$ |
$x^{20} + 365$ |
$[0]$ |
$[4]$ |
$z^{19} + 20 z^{18} + 44 z^{17} + 45 z^{16} + 27 z^{15} + 28 z^{14} + 70 z^{13} + 67 z^{12} + 45 z^{11} + 60 z^{10} + 66 z^9 + 60 z^8 + 45 z^7 + 67 z^6 + 70 z^5 + 28 z^4 + 27 z^3 + 45 z^2 + 44 z + 20$ |
undefined |
| 73.1.20.19a1.3 |
$20$ |
$x^{20} + 1825$ |
$73$ |
$1$ |
$20$ |
$19$ |
$C_4\times F_5$ (as 20T20) |
$4$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{4}$ |
$[\ ]_{20}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 68$ |
$x^{20} + 1825$ |
$[0]$ |
$[4]$ |
$z^{19} + 20 z^{18} + 44 z^{17} + 45 z^{16} + 27 z^{15} + 28 z^{14} + 70 z^{13} + 67 z^{12} + 45 z^{11} + 60 z^{10} + 66 z^9 + 60 z^8 + 45 z^7 + 67 z^6 + 70 z^5 + 28 z^4 + 27 z^3 + 45 z^2 + 44 z + 20$ |
undefined |