| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 7.14.14.19 |
$14$ |
$x^{14} - 42 x^{9} + 42 x^{8} + 14 x^{7} - 735 x^{4} - 882 x^{3} + 147 x^{2} + 294 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 21\right) x^{2} + 21 x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.21 |
$14$ |
$x^{14} - 14 x^{9} + 14 x^{8} + 14 x^{7} - 1127 x^{4} - 98 x^{3} - 49 x^{2} + 98 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 35\right) x^{2} + 7 x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.24 |
$14$ |
$x^{14} - 14 x^{9} + 84 x^{8} + 14 x^{7} - 245 x^{4} - 588 x^{3} + 1666 x^{2} + 588 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 14\right) x^{2} + 42 x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.25 |
$14$ |
$x^{14} - 56 x^{9} + 70 x^{8} + 14 x^{7} - 1862 x^{4} - 1960 x^{3} + 833 x^{2} + 490 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(21 t + 35\right) x^{2} + 35 x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.4 |
$14$ |
$x^{14} - 14 x^{9} + 28 x^{8} + 14 x^{7} - 1127 x^{4} - 196 x^{3} + 98 x^{2} + 196 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 35\right) x^{2} + 14 x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.5 |
$14$ |
$x^{14} - 56 x^{9} + 56 x^{8} + 14 x^{7} - 392 x^{4} - 1568 x^{3} + 392 x^{2} + 392 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 14\right) x^{2} + 28 x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.15.1 |
$14$ |
$x^{14} + 14 x^{3} + 7 x^{2} + 21$ |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 14 x^{3} + 7 x^{2} + 21$ |
$[2, 0]$ |
$[2, 1]$ |
| 7.14.15.11 |
$14$ |
$x^{14} + 7 x^{3} + 42 x^{2} + 7$ |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 7 x^{3} + 42 x^{2} + 7$ |
$[2, 0]$ |
$[2, 1]$ |
| 7.14.15.12 |
$14$ |
$x^{14} + 28 x^{2} + 21$ |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 28 x^{2} + 21$ |
$[2, 0]$ |
$[2, 1]$ |
| 7.14.15.2 |
$14$ |
$x^{14} + 7 x^{3} + 35 x^{2} + 7$ |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 7 x^{3} + 35 x^{2} + 7$ |
$[2, 0]$ |
$[2, 1]$ |
| 7.14.15.3 |
$14$ |
$x^{14} + 14 x^{3} + 21 x^{2} + 7$ |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 14 x^{3} + 21 x^{2} + 7$ |
$[2, 0]$ |
$[2, 1]$ |
| 7.14.15.4 |
$14$ |
$x^{14} + 14 x^{3} + 14 x^{2} + 21$ |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 14 x^{3} + 14 x^{2} + 21$ |
$[2, 0]$ |
$[2, 1]$ |
| 7.14.17.1 |
$14$ |
$x^{14} + 21 x^{5} + 35 x^{4} + 7$ |
$7$ |
$14$ |
$1$ |
$17$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[4/3]$ |
$[4/3]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 21 x^{5} + 35 x^{4} + 7$ |
$[4, 0]$ |
$[2, 1]$ |
| 7.14.17.11 |
$14$ |
$x^{14} + 14 x^{5} + 7 x^{4} + 21$ |
$7$ |
$14$ |
$1$ |
$17$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[4/3]$ |
$[4/3]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 14 x^{5} + 7 x^{4} + 21$ |
$[4, 0]$ |
$[2, 1]$ |
| 7.14.17.12 |
$14$ |
$x^{14} + 42 x^{4} + 7$ |
$7$ |
$14$ |
$1$ |
$17$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[4/3]$ |
$[4/3]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 42 x^{4} + 7$ |
$[4, 0]$ |
$[2, 1]$ |
| 7.14.17.3 |
$14$ |
$x^{14} + 7 x^{5} + 28 x^{4} + 21$ |
$7$ |
$14$ |
$1$ |
$17$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[4/3]$ |
$[4/3]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 7 x^{5} + 28 x^{4} + 21$ |
$[4, 0]$ |
$[2, 1]$ |
| 7.14.17.4 |
$14$ |
$x^{14} + 21 x^{5} + 21 x^{4} + 7$ |
$7$ |
$14$ |
$1$ |
$17$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[4/3]$ |
$[4/3]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 21 x^{5} + 21 x^{4} + 7$ |
$[4, 0]$ |
$[2, 1]$ |
| 7.14.17.8 |
$14$ |
$x^{14} + 14 x^{4} + 21$ |
$7$ |
$14$ |
$1$ |
$17$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[4/3]$ |
$[4/3]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 14 x^{4} + 21$ |
$[4, 0]$ |
$[2, 1]$ |
| 7.14.18.11 |
$14$ |
$x^{14} + 56 x^{10} - 1176 x^{8} + 14 x^{7} + 784 x^{6} + 392 x^{3} + 49$ |
$7$ |
$7$ |
$2$ |
$18$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2]_{2}^{6}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 42\right) x^{4} + 28 x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
| 7.14.18.22 |
$14$ |
$x^{14} - 112 x^{11} + 42 x^{10} - 1568 x^{8} - 2338 x^{7} + 441 x^{6} - 784 x^{4} + 294 x^{3} + 49$ |
$7$ |
$7$ |
$2$ |
$18$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2]_{2}^{6}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(28 t + 28\right) x^{4} + 21 x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
| 7.14.18.25 |
$14$ |
$x^{14} - 126 x^{11} + 14 x^{10} + 1323 x^{8} - 868 x^{7} + 49 x^{6} - 882 x^{4} + 98 x^{3} + 49$ |
$7$ |
$7$ |
$2$ |
$18$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2]_{2}^{6}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 21 t x^{4} + 7 x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
| 7.14.18.27 |
$14$ |
$x^{14} - 238 x^{11} + 84 x^{10} + 3577 x^{8} - 9982 x^{7} + 1764 x^{6} - 1666 x^{4} + 588 x^{3} + 49$ |
$7$ |
$7$ |
$2$ |
$18$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2]_{2}^{6}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 7\right) x^{4} + 42 x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
| 7.14.19.2 |
$14$ |
$x^{14} + 14 x^{7} + 21 x^{6} + 21$ |
$7$ |
$14$ |
$1$ |
$19$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2]_{2}^{6}$ |
$t + 4$ |
$x^{14} + 14 x^{7} + 21 x^{6} + 21$ |
$[6, 0]$ |
$[6, 1]$ |
| 7.14.19.3 |
$14$ |
$x^{14} + 14 x^{7} + 7 x^{6} + 7$ |
$7$ |
$14$ |
$1$ |
$19$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2]_{2}^{6}$ |
$t + 4$ |
$x^{14} + 14 x^{7} + 7 x^{6} + 7$ |
$[6, 0]$ |
$[6, 1]$ |
| 7.14.19.5 |
$14$ |
$x^{14} + 7 x^{7} + 28 x^{6} + 7$ |
$7$ |
$14$ |
$1$ |
$19$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2]_{2}^{6}$ |
$t + 4$ |
$x^{14} + 7 x^{7} + 28 x^{6} + 7$ |
$[6, 0]$ |
$[6, 1]$ |
| 7.14.19.9 |
$14$ |
$x^{14} + 7 x^{7} + 35 x^{6} + 21$ |
$7$ |
$14$ |
$1$ |
$19$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2]_{2}^{6}$ |
$t + 4$ |
$x^{14} + 7 x^{7} + 35 x^{6} + 21$ |
$[6, 0]$ |
$[6, 1]$ |
| 7.14.21.14 |
$14$ |
$x^{14} + 28 x^{10} + 21 x^{9} + 7 x^{8} + 21 x^{7} + 21$ |
$7$ |
$14$ |
$1$ |
$21$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[5/3]$ |
$[5/3]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 28 x^{10} + 21 x^{9} + 7 x^{8} + 21 x^{7} + 21$ |
$[8, 0]$ |
$[2, 1]$ |
| 7.14.21.20 |
$14$ |
$x^{14} + 21 x^{10} + 21 x^{8} + 7$ |
$7$ |
$14$ |
$1$ |
$21$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[5/3]$ |
$[5/3]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 21 x^{10} + 21 x^{8} + 7$ |
$[8, 0]$ |
$[2, 1]$ |
| 7.14.21.30 |
$14$ |
$x^{14} + 7 x^{9} + 14 x^{8} + 28 x^{7} + 21$ |
$7$ |
$14$ |
$1$ |
$21$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[5/3]$ |
$[5/3]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 7 x^{9} + 14 x^{8} + 28 x^{7} + 21$ |
$[8, 0]$ |
$[2, 1]$ |
| 7.14.21.36 |
$14$ |
$x^{14} + 28 x^{10} + 14 x^{9} + 28 x^{8} + 28 x^{7} + 21$ |
$7$ |
$14$ |
$1$ |
$21$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[5/3]$ |
$[5/3]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 28 x^{10} + 14 x^{9} + 28 x^{8} + 28 x^{7} + 21$ |
$[8, 0]$ |
$[2, 1]$ |
| 7.14.21.40 |
$14$ |
$x^{14} + 21 x^{10} + 35 x^{8} + 7$ |
$7$ |
$14$ |
$1$ |
$21$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[5/3]$ |
$[5/3]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 21 x^{10} + 35 x^{8} + 7$ |
$[8, 0]$ |
$[2, 1]$ |
| 7.14.21.43 |
$14$ |
$x^{14} + 7 x^{10} + 42 x^{8} + 7$ |
$7$ |
$14$ |
$1$ |
$21$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[5/3]$ |
$[5/3]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 7 x^{10} + 42 x^{8} + 7$ |
$[8, 0]$ |
$[2, 1]$ |
| 7.14.22.14 |
$14$ |
$x^{14} - 14 x^{13} - 217 x^{12} - 196 x^{11} + 196 x^{10} + 14 x^{7} - 98 x^{6} + 196 x^{5} + 49$ |
$7$ |
$7$ |
$2$ |
$22$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 14\right) x^{6} + 14 x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
| 7.14.22.15 |
$14$ |
$x^{14} - 112 x^{13} - 1526 x^{12} - 2352 x^{11} + 441 x^{10} + 14 x^{7} - 784 x^{6} + 294 x^{5} + 49$ |
$7$ |
$7$ |
$2$ |
$22$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(28 t + 28\right) x^{6} + 21 x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
| 7.14.22.18 |
$14$ |
$x^{14} + 98 x^{13} + 3829 x^{12} + 79212 x^{11} + 987525 x^{10} + 7930566 x^{9} + 42380793 x^{8} + 152310038 x^{7} + 366264353 x^{6} + 580330884 x^{5} + 594539253 x^{4} + 386800974 x^{3} + 156503529 x^{2} + 41819652 x + 10690942$ |
$7$ |
$7$ |
$2$ |
$22$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 28 x^{6} + 42 x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
| 7.14.22.20 |
$14$ |
$x^{14} + 98 x^{13} + 3759 x^{12} + 74732 x^{11} + 881230 x^{10} + 6602316 x^{9} + 32454618 x^{8} + 105611918 x^{7} + 226189523 x^{6} + 315431774 x^{5} + 285422403 x^{4} + 166391274 x^{3} + 62775594 x^{2} + 19153512 x + 7412737$ |
$7$ |
$7$ |
$2$ |
$22$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 28 x^{6} + 7 x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
| 7.14.22.27 |
$14$ |
$x^{14} - 98 x^{13} - 175 x^{12} - 3430 x^{11} + 1225 x^{10} + 14 x^{7} - 686 x^{6} + 490 x^{5} + 49$ |
$7$ |
$7$ |
$2$ |
$22$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(21 t + 14\right) x^{6} + 35 x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
| 7.14.22.8 |
$14$ |
$x^{14} + 112 x^{13} + 4788 x^{12} + 103012 x^{11} + 1295203 x^{10} + 10284876 x^{9} + 53556342 x^{8} + 185279702 x^{7} + 424596151 x^{6} + 637546910 x^{5} + 620860548 x^{4} + 386780646 x^{3} + 151496541 x^{2} + 40640166 x + 11229403$ |
$7$ |
$7$ |
$2$ |
$22$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 35 x^{6} + 28 x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
| 7.14.23.16 |
$14$ |
$x^{14} + 28 x^{12} + 28 x^{10} + 7$ |
$7$ |
$14$ |
$1$ |
$23$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 28 x^{12} + 28 x^{10} + 7$ |
$[10, 0]$ |
$[2, 1]$ |
| 7.14.23.29 |
$14$ |
$x^{14} + 7 x^{12} + 7 x^{11} + 14 x^{10} + 14 x^{7} + 7$ |
$7$ |
$14$ |
$1$ |
$23$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 7 x^{12} + 7 x^{11} + 14 x^{10} + 14 x^{7} + 7$ |
$[10, 0]$ |
$[2, 1]$ |
| 7.14.23.31 |
$14$ |
$x^{14} + 21 x^{12} + 14 x^{11} + 35 x^{10} + 14 x^{7} + 21$ |
$7$ |
$14$ |
$1$ |
$23$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 21 x^{12} + 14 x^{11} + 35 x^{10} + 14 x^{7} + 21$ |
$[10, 0]$ |
$[2, 1]$ |
| 7.14.23.42 |
$14$ |
$x^{14} + 14 x^{12} + 7 x^{10} + 7$ |
$7$ |
$14$ |
$1$ |
$23$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 14 x^{12} + 7 x^{10} + 7$ |
$[10, 0]$ |
$[2, 1]$ |
| 7.14.23.47 |
$14$ |
$x^{14} + 14 x^{12} + 42 x^{10} + 21$ |
$7$ |
$14$ |
$1$ |
$23$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 14 x^{12} + 42 x^{10} + 21$ |
$[10, 0]$ |
$[2, 1]$ |
| 7.14.23.48 |
$14$ |
$x^{14} + 14 x^{12} + 35 x^{11} + 21 x^{10} + 42 x^{7} + 21$ |
$7$ |
$14$ |
$1$ |
$23$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 14 x^{12} + 35 x^{11} + 21 x^{10} + 42 x^{7} + 21$ |
$[10, 0]$ |
$[2, 1]$ |
| 7.14.25.33 |
$14$ |
$x^{14} + 7 x^{13} + 28 x^{12} + 14 x^{7} + 7$ |
$7$ |
$14$ |
$1$ |
$25$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[2]$ |
$[2]_{2}^{6}$ |
$t + 4$ |
$x^{14} + 7 x^{13} + 28 x^{12} + 14 x^{7} + 7$ |
$[12, 0]$ |
$[6, 1]$ |
| 7.14.25.36 |
$14$ |
$x^{14} + 14 x^{13} + 42 x^{12} + 7 x^{7} + 21$ |
$7$ |
$14$ |
$1$ |
$25$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[2]$ |
$[2]_{2}^{6}$ |
$t + 4$ |
$x^{14} + 14 x^{13} + 42 x^{12} + 7 x^{7} + 21$ |
$[12, 0]$ |
$[6, 1]$ |
| 7.14.25.50 |
$14$ |
$x^{14} + 35 x^{13} + 35 x^{12} + 21 x^{7} + 315$ |
$7$ |
$14$ |
$1$ |
$25$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[2]$ |
$[2]_{2}^{6}$ |
$t + 4$ |
$x^{14} + 35 x^{13} + 35 x^{12} + 21 x^{7} + 315$ |
$[12, 0]$ |
$[6, 1]$ |
| 7.14.25.71 |
$14$ |
$x^{14} + 35 x^{13} + 14 x^{12} + 42 x^{7} + 7$ |
$7$ |
$14$ |
$1$ |
$25$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[2]$ |
$[2]_{2}^{6}$ |
$t + 4$ |
$x^{14} + 35 x^{13} + 14 x^{12} + 42 x^{7} + 7$ |
$[12, 0]$ |
$[6, 1]$ |
| 7.14.26.15 |
$14$ |
$x^{14} - 1078 x^{9} - 98 x^{8} + 14 x^{7} + 60025 x^{4} - 62426 x^{3} - 134799 x^{2} - 29498 x - 14357$ |
$7$ |
$7$ |
$2$ |
$26$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[13/6]$ |
$[13/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(196 t + 49\right) x^{2} + \left(49 t + 98\right) x + 49 t + 154$ |
$[7, 0]$ |
$[1]$ |
| 7.14.26.16 |
$14$ |
$x^{14} + 294 x^{9} - 392 x^{8} + 14 x^{7} + 7203 x^{4} - 115248 x^{3} - 74774 x^{2} - 117992 x - 57575$ |
$7$ |
$7$ |
$2$ |
$26$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[13/6]$ |
$[13/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(49 t + 294\right) x^{2} + \left(98 t + 98\right) x + 98 t + 301$ |
$[7, 0]$ |
$[1]$ |
