| 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 |
| 5.1.20.20a1.1 |
$20$ |
$x^{20} + 20 x + 5$ |
$5$ |
$1$ |
$20$ |
$20$ |
$C_5^4:C_{16}:C_4$ (as 20T605) |
not computed |
not computed |
$[\frac{17}{16}]$ |
$[\frac{1}{16}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 20 x + 5$ |
$[1, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z + 1$ |
$[1, 6]$ |
| 5.1.20.20a1.2 |
$20$ |
$x^{20} + 15 x + 10$ |
$5$ |
$1$ |
$20$ |
$20$ |
$C_5^4:C_{16}:C_4$ (as 20T605) |
not computed |
not computed |
$[\frac{17}{16}]$ |
$[\frac{1}{16}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 15 x + 10$ |
$[1, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z + 1$ |
undefined |
| 5.1.20.20a1.3 |
$20$ |
$x^{20} + 10 x + 15$ |
$5$ |
$1$ |
$20$ |
$20$ |
$C_5^4:C_{16}:C_4$ (as 20T605) |
not computed |
not computed |
$[\frac{17}{16}]$ |
$[\frac{1}{16}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 10 x + 15$ |
$[1, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z + 1$ |
undefined |
| 5.1.20.20a1.4 |
$20$ |
$x^{20} + 5 x + 20$ |
$5$ |
$1$ |
$20$ |
$20$ |
$C_5^4:C_{16}:C_4$ (as 20T605) |
not computed |
not computed |
$[\frac{17}{16}]$ |
$[\frac{1}{16}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 5 x + 20$ |
$[1, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z + 1$ |
undefined |
| 5.1.20.21a1.1 |
$20$ |
$x^{20} + 10 x^{2} + 5$ |
$5$ |
$1$ |
$20$ |
$21$ |
$C_5^2:\OD_{16}$ (as 20T109) |
$2$ |
$8$ |
$[\frac{9}{8}]$ |
$[\frac{1}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 3$ |
$x^{20} + 10 x^{2} + 5$ |
$[2, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
$[1, 7]$ |
| 5.1.20.21a1.2 |
$20$ |
$x^{20} + 20 x^{2} + 10$ |
$5$ |
$1$ |
$20$ |
$21$ |
$C_5^2:\OD_{16}$ (as 20T109) |
$2$ |
$8$ |
$[\frac{9}{8}]$ |
$[\frac{1}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 3$ |
$x^{20} + 20 x^{2} + 10$ |
$[2, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
undefined |
| 5.1.20.21a1.3 |
$20$ |
$x^{20} + 5 x^{2} + 15$ |
$5$ |
$1$ |
$20$ |
$21$ |
$C_5^2:\OD_{16}$ (as 20T109) |
$2$ |
$8$ |
$[\frac{9}{8}]$ |
$[\frac{1}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 3$ |
$x^{20} + 5 x^{2} + 15$ |
$[2, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
undefined |
| 5.1.20.21a1.4 |
$20$ |
$x^{20} + 15 x^{2} + 20$ |
$5$ |
$1$ |
$20$ |
$21$ |
$C_5^2:\OD_{16}$ (as 20T109) |
$2$ |
$8$ |
$[\frac{9}{8}]$ |
$[\frac{1}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 3$ |
$x^{20} + 15 x^{2} + 20$ |
$[2, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
undefined |
| 5.1.20.21a2.1 |
$20$ |
$x^{20} + 20 x^{2} + 5$ |
$5$ |
$1$ |
$20$ |
$21$ |
$C_5^2:\OD_{16}$ (as 20T104) |
$2$ |
$8$ |
$[\frac{9}{8}]$ |
$[\frac{1}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 3$ |
$x^{20} + 20 x^{2} + 5$ |
$[2, 0]$ |
$[1, 2]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 2$ |
$[1, 7]$ |
| 5.1.20.21a2.2 |
$20$ |
$x^{20} + 15 x^{2} + 10$ |
$5$ |
$1$ |
$20$ |
$21$ |
$C_5^2:\OD_{16}$ (as 20T104) |
$2$ |
$8$ |
$[\frac{9}{8}]$ |
$[\frac{1}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 3$ |
$x^{20} + 15 x^{2} + 10$ |
$[2, 0]$ |
$[1, 2]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 2$ |
undefined |
| 5.1.20.21a2.3 |
$20$ |
$x^{20} + 10 x^{2} + 15$ |
$5$ |
$1$ |
$20$ |
$21$ |
$C_5^2:\OD_{16}$ (as 20T104) |
$2$ |
$8$ |
$[\frac{9}{8}]$ |
$[\frac{1}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 3$ |
$x^{20} + 10 x^{2} + 15$ |
$[2, 0]$ |
$[1, 2]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 2$ |
undefined |
| 5.1.20.21a2.4 |
$20$ |
$x^{20} + 5 x^{2} + 20$ |
$5$ |
$1$ |
$20$ |
$21$ |
$C_5^2:\OD_{16}$ (as 20T104) |
$2$ |
$8$ |
$[\frac{9}{8}]$ |
$[\frac{1}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 3$ |
$x^{20} + 5 x^{2} + 20$ |
$[2, 0]$ |
$[1, 2]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 2$ |
undefined |
| 5.1.20.22a1.1 |
$20$ |
$x^{20} + 15 x^{3} + 5$ |
$5$ |
$1$ |
$20$ |
$22$ |
$C_5^4:C_{16}:C_4$ (as 20T605) |
not computed |
not computed |
$[\frac{19}{16}]$ |
$[\frac{3}{16}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 15 x^{3} + 5$ |
$[3, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z + 1$ |
$[1, 8]$ |
| 5.1.20.22a1.2 |
$20$ |
$x^{20} + 5 x^{3} + 10$ |
$5$ |
$1$ |
$20$ |
$22$ |
$C_5^4:C_{16}:C_4$ (as 20T605) |
not computed |
not computed |
$[\frac{19}{16}]$ |
$[\frac{3}{16}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 5 x^{3} + 10$ |
$[3, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z + 1$ |
undefined |
| 5.1.20.22a1.3 |
$20$ |
$x^{20} + 20 x^{3} + 15$ |
$5$ |
$1$ |
$20$ |
$22$ |
$C_5^4:C_{16}:C_4$ (as 20T605) |
not computed |
not computed |
$[\frac{19}{16}]$ |
$[\frac{3}{16}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 20 x^{3} + 15$ |
$[3, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z + 1$ |
undefined |
| 5.1.20.22a1.4 |
$20$ |
$x^{20} + 10 x^{3} + 20$ |
$5$ |
$1$ |
$20$ |
$22$ |
$C_5^4:C_{16}:C_4$ (as 20T605) |
not computed |
not computed |
$[\frac{19}{16}]$ |
$[\frac{3}{16}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 10 x^{3} + 20$ |
$[3, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z + 1$ |
undefined |
| 5.1.20.23a1.1 |
$20$ |
$x^{20} + 5 x^{4} + 5$ |
$5$ |
$1$ |
$20$ |
$23$ |
$F_5$ (as 20T5) |
$1$ |
$4$ |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
$[\frac{5}{4}]_{4}$ |
$[\frac{1}{4}]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t + 3$ |
$x^{20} + 5 x^{4} + 5$ |
$[4, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 9]$ |
| 5.1.20.23a1.2 |
$20$ |
$x^{20} + 5 x^{5} + 5 x^{4} + 5$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_5\times F_5$ (as 20T29) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{5} + 5 x^{4} + 5$ |
$[4, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 9]$ |
| 5.1.20.23a1.3 |
$20$ |
$x^{20} + 10 x^{4} + 10$ |
$5$ |
$1$ |
$20$ |
$23$ |
$F_5$ (as 20T5) |
$1$ |
$4$ |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
$[\frac{5}{4}]_{4}$ |
$[\frac{1}{4}]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t + 3$ |
$x^{20} + 10 x^{4} + 10$ |
$[4, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
undefined |
| 5.1.20.23a1.4 |
$20$ |
$x^{20} + 5 x^{5} + 10 x^{4} + 10$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_5\times F_5$ (as 20T29) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{5} + 10 x^{4} + 10$ |
$[4, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
undefined |
| 5.1.20.23a1.5 |
$20$ |
$x^{20} + 15 x^{4} + 15$ |
$5$ |
$1$ |
$20$ |
$23$ |
$F_5$ (as 20T5) |
$1$ |
$4$ |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
$[\frac{5}{4}]_{4}$ |
$[\frac{1}{4}]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t + 3$ |
$x^{20} + 15 x^{4} + 15$ |
$[4, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
undefined |
| 5.1.20.23a1.6 |
$20$ |
$x^{20} + 5 x^{5} + 15 x^{4} + 15$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_5\times F_5$ (as 20T29) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{5} + 15 x^{4} + 15$ |
$[4, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
undefined |
| 5.1.20.23a1.7 |
$20$ |
$x^{20} + 20 x^{4} + 20$ |
$5$ |
$1$ |
$20$ |
$23$ |
$F_5$ (as 20T5) |
$1$ |
$4$ |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
$[\frac{5}{4}]_{4}$ |
$[\frac{1}{4}]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t + 3$ |
$x^{20} + 20 x^{4} + 20$ |
$[4, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
undefined |
| 5.1.20.23a1.8 |
$20$ |
$x^{20} + 5 x^{5} + 20 x^{4} + 20$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_5\times F_5$ (as 20T29) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{5} + 20 x^{4} + 20$ |
$[4, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
undefined |
| 5.1.20.23a2.1 |
$20$ |
$x^{20} + 10 x^{4} + 5$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 10 x^{4} + 5$ |
$[4, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 2$ |
$[1, 9]$ |
| 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 |
| 5.1.20.23a2.4 |
$20$ |
$x^{20} + 15 x^{4} + 20$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 15 x^{4} + 20$ |
$[4, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 2$ |
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 |
$4$ |
$t + 3$ |
$x^{20} + 15 x^{4} + 5$ |
$[4, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
$[1, 9]$ |
| 5.1.20.23a3.2 |
$20$ |
$x^{20} + 5 x^{4} + 10$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 5 x^{4} + 10$ |
$[4, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
undefined |
| 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 |
| 5.1.20.23a3.4 |
$20$ |
$x^{20} + 10 x^{4} + 20$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 10 x^{4} + 20$ |
$[4, 0]$ |
$[1, 4]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 3$ |
undefined |
| 5.1.20.23a4.1 |
$20$ |
$x^{20} + 20 x^{4} + 5$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_2\times F_5$ (as 20T9) |
$2$ |
$4$ |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
$[\frac{5}{4}]_{4}^{2}$ |
$[\frac{1}{4}]_{4}^{2}$ |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 20 x^{4} + 5$ |
$[4, 0]$ |
$[1, 2]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 4$ |
$[1, 9]$ |
| 5.1.20.23a4.2 |
$20$ |
$x^{20} + 15 x^{4} + 10$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_2\times F_5$ (as 20T9) |
$2$ |
$4$ |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
$[\frac{5}{4}]_{4}^{2}$ |
$[\frac{1}{4}]_{4}^{2}$ |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 15 x^{4} + 10$ |
$[4, 0]$ |
$[1, 2]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 4$ |
undefined |
| 5.1.20.23a4.3 |
$20$ |
$x^{20} + 10 x^{4} + 15$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_2\times F_5$ (as 20T9) |
$2$ |
$4$ |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
$[\frac{5}{4}]_{4}^{2}$ |
$[\frac{1}{4}]_{4}^{2}$ |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 10 x^{4} + 15$ |
$[4, 0]$ |
$[1, 2]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 4$ |
undefined |
| 5.1.20.23a4.4 |
$20$ |
$x^{20} + 5 x^{4} + 20$ |
$5$ |
$1$ |
$20$ |
$23$ |
$C_2\times F_5$ (as 20T9) |
$2$ |
$4$ |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
$[\frac{5}{4}]_{4}^{2}$ |
$[\frac{1}{4}]_{4}^{2}$ |
not computed |
not computed |
$4$ |
$t + 3$ |
$x^{20} + 5 x^{4} + 20$ |
$[4, 0]$ |
$[1, 2]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 4$ |
undefined |
| 5.1.20.25a1.1 |
$20$ |
$x^{20} + 20 x^{6} + 5$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^2:\OD_{16}$ (as 20T109) |
$2$ |
$8$ |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 3$ |
$x^{20} + 20 x^{6} + 5$ |
$[6, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
$[1, 11]$ |
| 5.1.20.25a1.2 |
$20$ |
$x^{20} + 10 x^{7} + 20 x^{6} + 5$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^4.\OD_{16}$ (as 20T386) |
not computed |
not computed |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 10 x^{7} + 20 x^{6} + 5$ |
$[6, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
$[1, 11]$ |
| 5.1.20.25a1.3 |
$20$ |
$x^{20} + 5 x^{7} + 20 x^{6} + 5$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^4.\OD_{16}$ (as 20T386) |
not computed |
not computed |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 5 x^{7} + 20 x^{6} + 5$ |
$[6, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
$[1, 11]$ |
| 5.1.20.25a1.4 |
$20$ |
$x^{20} + 15 x^{6} + 10$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^2:\OD_{16}$ (as 20T109) |
$2$ |
$8$ |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 3$ |
$x^{20} + 15 x^{6} + 10$ |
$[6, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
undefined |
| 5.1.20.25a1.5 |
$20$ |
$x^{20} + 10 x^{7} + 15 x^{6} + 10$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^4.\OD_{16}$ (as 20T386) |
not computed |
not computed |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 10 x^{7} + 15 x^{6} + 10$ |
$[6, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
undefined |
| 5.1.20.25a1.6 |
$20$ |
$x^{20} + 5 x^{7} + 15 x^{6} + 10$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^4.\OD_{16}$ (as 20T386) |
not computed |
not computed |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 5 x^{7} + 15 x^{6} + 10$ |
$[6, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
undefined |
| 5.1.20.25a1.7 |
$20$ |
$x^{20} + 10 x^{6} + 15$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^2:\OD_{16}$ (as 20T109) |
$2$ |
$8$ |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 3$ |
$x^{20} + 10 x^{6} + 15$ |
$[6, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
undefined |
| 5.1.20.25a1.8 |
$20$ |
$x^{20} + 5 x^{7} + 10 x^{6} + 15$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^4.\OD_{16}$ (as 20T386) |
not computed |
not computed |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 5 x^{7} + 10 x^{6} + 15$ |
$[6, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
undefined |
| 5.1.20.25a1.9 |
$20$ |
$x^{20} + 10 x^{7} + 10 x^{6} + 15$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^4.\OD_{16}$ (as 20T386) |
not computed |
not computed |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 10 x^{7} + 10 x^{6} + 15$ |
$[6, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
undefined |
| 5.1.20.25a1.10 |
$20$ |
$x^{20} + 5 x^{6} + 20$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^2:\OD_{16}$ (as 20T109) |
$2$ |
$8$ |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 3$ |
$x^{20} + 5 x^{6} + 20$ |
$[6, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
undefined |
| 5.1.20.25a1.11 |
$20$ |
$x^{20} + 5 x^{7} + 5 x^{6} + 20$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^4.\OD_{16}$ (as 20T386) |
not computed |
not computed |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 5 x^{7} + 5 x^{6} + 20$ |
$[6, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
undefined |
| 5.1.20.25a1.12 |
$20$ |
$x^{20} + 10 x^{7} + 5 x^{6} + 20$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^4.\OD_{16}$ (as 20T386) |
not computed |
not computed |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 10 x^{7} + 5 x^{6} + 20$ |
$[6, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 1$ |
undefined |
| 5.1.20.25a2.1 |
$20$ |
$x^{20} + 15 x^{6} + 5$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^2:\OD_{16}$ (as 20T104) |
$2$ |
$8$ |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 3$ |
$x^{20} + 15 x^{6} + 5$ |
$[6, 0]$ |
$[1, 2]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 2$ |
$[1, 11]$ |
| 5.1.20.25a2.2 |
$20$ |
$x^{20} + 10 x^{7} + 15 x^{6} + 5$ |
$5$ |
$1$ |
$20$ |
$25$ |
$C_5^4.\OD_{16}$ (as 20T381) |
not computed |
not computed |
$[\frac{11}{8}]$ |
$[\frac{3}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 3$ |
$x^{20} + 10 x^{7} + 15 x^{6} + 5$ |
$[6, 0]$ |
$[1, 2]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^2 + 2$ |
$[1, 11]$ |
