| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.10.14.2 |
$10$ |
$x^{10} + 2 x^{9} + 2 x^{5} + 2$ |
$2$ |
$10$ |
$1$ |
$14$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[2]$ |
$[6/5, 6/5, 6/5, 6/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[1, 4]$ |
| 2.10.14.3 |
$10$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 2 x^{5} + 2$ |
$2$ |
$10$ |
$1$ |
$14$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[2]$ |
$[8/5, 8/5, 8/5, 8/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[1, 4]$ |
| 2.10.14.4 |
$10$ |
$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{5} + 2$ |
$2$ |
$10$ |
$1$ |
$14$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[2]$ |
$[8/5, 8/5, 8/5, 8/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[1, 4]$ |
| 2.10.14.6 |
$10$ |
$x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{5} + 2 x^{4} + 6$ |
$2$ |
$10$ |
$1$ |
$14$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[2]$ |
$[6/5, 6/5, 6/5, 6/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{5} + 2 x^{4} + 6$ |
$[5, 0]$ |
$[1, 4]$ |
| 2.10.14.7 |
$10$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 2 x^{5} + 2 x^{4} + 2$ |
$2$ |
$10$ |
$1$ |
$14$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[2]$ |
$[8/5, 8/5, 8/5, 8/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 2 x^{5} + 2 x^{4} + 2$ |
$[5, 0]$ |
$[1, 4]$ |
| 2.10.14.8 |
$10$ |
$x^{10} + 2 x^{5} + 2 x^{4} + 6$ |
$2$ |
$10$ |
$1$ |
$14$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[2]$ |
$[8/5, 8/5, 8/5, 8/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{5} + 2 x^{4} + 6$ |
$[5, 0]$ |
$[1, 4]$ |
| 2.10.16.10 |
$10$ |
$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$2$ |
$10$ |
$1$ |
$16$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$[7, 0]$ |
$[1, 4]$ |
| 2.10.16.11 |
$10$ |
$x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{3} + 6$ |
$2$ |
$10$ |
$1$ |
$16$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{3} + 6$ |
$[7, 0]$ |
$[1, 4]$ |
| 2.10.16.12 |
$10$ |
$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{4} + 4 x^{3} + 4 x^{2} + 2$ |
$2$ |
$10$ |
$1$ |
$16$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{4} + 4 x^{3} + 4 x^{2} + 2$ |
$[7, 0]$ |
$[1, 4]$ |
| 2.10.16.13 |
$10$ |
$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 6 x^{4} + 4 x^{3} + 4 x + 6$ |
$2$ |
$10$ |
$1$ |
$16$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 6 x^{4} + 4 x^{3} + 4 x + 6$ |
$[7, 0]$ |
$[1, 4]$ |
| 2.10.16.14 |
$10$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 4 x + 2$ |
$2$ |
$10$ |
$1$ |
$16$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 4 x + 2$ |
$[7, 0]$ |
$[1, 4]$ |
| 2.10.16.15 |
$10$ |
$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 4 x^{2} + 2$ |
$2$ |
$10$ |
$1$ |
$16$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 4 x^{2} + 2$ |
$[7, 0]$ |
$[1, 4]$ |
| 2.10.16.16 |
$10$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 4 x^{4} + 4 x^{2} + 2$ |
$2$ |
$10$ |
$1$ |
$16$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 4 x^{4} + 4 x^{2} + 2$ |
$[7, 0]$ |
$[1, 4]$ |
| 2.10.16.9 |
$10$ |
$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 6 x^{4} + 6$ |
$2$ |
$10$ |
$1$ |
$16$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 6 x^{4} + 6$ |
$[7, 0]$ |
$[1, 4]$ |
| 2.10.18.17 |
$10$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.18 |
$10$ |
$x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{4} + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{4} + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.19 |
$10$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.20 |
$10$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.21 |
$10$ |
$x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{5} + 4 x^{4} + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{5} + 4 x^{4} + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.22 |
$10$ |
$x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.23 |
$10$ |
$x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.24 |
$10$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.25 |
$10$ |
$x^{10} + 2 x^{9} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.26 |
$10$ |
$x^{10} + 2 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.27 |
$10$ |
$x^{10} + 2 x^{9} + 6 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 6 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.28 |
$10$ |
$x^{10} + 2 x^{9} + 4 x^{5} + 4 x^{4} + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 4 x^{5} + 4 x^{4} + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.29 |
$10$ |
$x^{10} + 2 x^{9} + 4 x^{7} + 4 x^{4} + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 4 x^{7} + 4 x^{4} + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.30 |
$10$ |
$x^{10} + 2 x^{9} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.31 |
$10$ |
$x^{10} + 2 x^{9} + 6 x^{8} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 6 x^{8} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.18.32 |
$10$ |
$x^{10} + 2 x^{9} + 4 x^{4} + 2$ |
$2$ |
$10$ |
$1$ |
$18$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[14/5]$ |
$[2, 14/5, 14/5, 14/5, 14/5]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{9} + 4 x^{4} + 2$ |
$[9, 0]$ |
$[1, 4]$ |
| 2.10.19.10 |
$10$ |
$x^{10} + 2 x^{8} + 4 x^{5} + 4 x^{4} + 2$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[6/5, 6/5, 6/5, 6/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 2 x^{8} + 4 x^{5} + 4 x^{4} + 2$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.11 |
$10$ |
$x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[12/5, 12/5, 12/5, 12/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.12 |
$10$ |
$x^{10} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[12/5, 12/5, 12/5, 12/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.13 |
$10$ |
$x^{10} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 4 x^{3} + 4 x + 6$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[14/5, 14/5, 14/5, 14/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 4 x^{3} + 4 x + 6$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.14 |
$10$ |
$x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[8/5, 8/5, 8/5, 8/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.15 |
$10$ |
$x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[12/5, 12/5, 12/5, 12/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.16 |
$10$ |
$x^{10} + 4 x^{6} + 4 x^{5} + 6 x^{4} + 4 x^{3} + 4 x + 14$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[14/5, 14/5, 14/5, 14/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{6} + 4 x^{5} + 6 x^{4} + 4 x^{3} + 4 x + 14$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.18 |
$10$ |
$x^{10} + 6 x^{8} + 4 x^{5} + 4 x^{3} + 2$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[12/5, 12/5, 12/5, 12/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 6 x^{8} + 4 x^{5} + 4 x^{3} + 2$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.19 |
$10$ |
$x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[12/5, 12/5, 12/5, 12/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.2 |
$10$ |
$x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 6 x^{4} + 4 x^{2} + 4 x + 10$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[14/5, 14/5, 14/5, 14/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 6 x^{4} + 4 x^{2} + 4 x + 10$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.20 |
$10$ |
$x^{10} + 4 x^{9} + 6 x^{6} + 2 x^{4} + 4 x^{2} + 4 x + 6$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[14/5, 14/5, 14/5, 14/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{9} + 6 x^{6} + 2 x^{4} + 4 x^{2} + 4 x + 6$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.21 |
$10$ |
$x^{10} + 4 x^{8} + 6 x^{4} + 4 x^{3} + 4 x + 10$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[14/5, 14/5, 14/5, 14/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{8} + 6 x^{4} + 4 x^{3} + 4 x + 10$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.22 |
$10$ |
$x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{5} + 4 x^{2} + 10$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[8/5, 8/5, 8/5, 8/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{5} + 4 x^{2} + 10$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.23 |
$10$ |
$x^{10} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 2 x^{4} + 4 x^{2} + 4 x + 14$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[14/5, 14/5, 14/5, 14/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 2 x^{4} + 4 x^{2} + 4 x + 14$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.24 |
$10$ |
$x^{10} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[14/5, 14/5, 14/5, 14/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.25 |
$10$ |
$x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 10$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[6/5, 6/5, 6/5, 6/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 10$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.26 |
$10$ |
$x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 2 x^{4} + 4 x^{2} + 4 x + 14$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[14/5, 14/5, 14/5, 14/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 2 x^{4} + 4 x^{2} + 4 x + 14$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.27 |
$10$ |
$x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[14/5, 14/5, 14/5, 14/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.28 |
$10$ |
$x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{2} + 4 x + 14$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[14/5, 14/5, 14/5, 14/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{2} + 4 x + 14$ |
$[10, 0]$ |
$[1, 4]$ |
| 2.10.19.29 |
$10$ |
$x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 10$ |
$2$ |
$10$ |
$1$ |
$19$ |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
$4$ |
$5$ |
$[3]$ |
$[8/5, 8/5, 8/5, 8/5, 3]_{5}^{4}$ |
$t + 1$ |
$x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 10$ |
$[10, 0]$ |
$[1, 4]$ |
