| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 7.14.0.1 |
$14$ |
$x^{14} + 5 x^{7} + 6 x^{5} + 2 x^{4} + 3 x^{2} + 6 x + 3$ |
$7$ |
$1$ |
$14$ |
$0$ |
$C_{14}$ (as 14T1) |
$14$ |
$1$ |
$[\ ]$ |
$[\ ]^{14}$ |
$t^{14} + 5 t^{7} + 6 t^{5} + 2 t^{4} + 3 t^{2} + 6 t + 3$ |
$x - 7$ |
$[0]$ |
$[\ ]$ |
| 7.14.7.1 |
$14$ |
$x^{14} + 49 x^{12} + 1029 x^{10} + 12017 x^{8} + 8 x^{7} + 82859 x^{6} - 1176 x^{5} + 352947 x^{4} + 13720 x^{3} + 881203 x^{2} - 19160 x + 794999$ |
$7$ |
$2$ |
$7$ |
$7$ |
$C_{14}$ (as 14T1) |
$7$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{7}$ |
$t^{7} + 6 t + 4$ |
$x^{2} + 7$ |
$[0]$ |
$[1]$ |
| 7.14.7.2 |
$14$ |
$x^{14} - 756 x^{13} + 407484 x^{12} - 120759324 x^{11} + 18245133144 x^{10} - 1371646043208 x^{9} + 45234910589400 x^{8} - 365498518846944 x^{7} - 160150981540032 x^{6} - 9636001680480 x^{5} - 1806831694584 x^{4} - 187090145760 x^{3} - 8419197738 x^{2} - 138355224 x - 3294172$ |
$7$ |
$2$ |
$7$ |
$7$ |
$C_{14}$ (as 14T1) |
$7$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{7}$ |
$t^{7} + 6 t + 4$ |
$x^{2} + \left(21 t^{6} + 42 t^{4} + 42 t^{3} + 42 t^{2} + 42 t\right) x + 7 t$ |
$[0]$ |
$[1]$ |
| 7.14.14.1 |
$14$ |
$x^{14} + 14 x^{9} - 28 x^{8} + 14 x^{7} - 245 x^{4} - 1372 x^{3} - 882 x^{2} - 196 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 28\right) x^{2} + \left(14 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.2 |
$14$ |
$x^{14} - 84 x^{9} - 140 x^{8} + 14 x^{7} + 588 x^{4} - 3038 x^{2} - 980 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 14 t x^{2} + \left(35 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.3 |
$14$ |
$x^{14} + 42 x^{9} + 42 x^{8} + 14 x^{7} + 441 x^{4} + 882 x^{3} + 441 x^{2} + 294 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 21 x^{2} + \left(7 t + 42\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 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) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 14\right) x^{2} + 28 x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.6 |
$14$ |
$x^{14} - 196 x^{9} - 210 x^{8} + 14 x^{7} + 2254 x^{4} + 5880 x^{3} + 2303 x^{2} - 1470 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 7\right) x^{2} + 35 t x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.7 |
$14$ |
$x^{14} - 238 x^{9} - 196 x^{8} + 14 x^{7} + 3577 x^{4} + 2156 x^{3} - 2646 x^{2} - 1372 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 7\right) x^{2} + \left(42 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.8 |
$14$ |
$x^{14} - 14 x^{9} - 84 x^{8} + 14 x^{7} - 1127 x^{4} - 4116 x^{3} - 3038 x^{2} - 588 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 35\right) x^{2} + \left(28 t + 42\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.9 |
$14$ |
$x^{14} + 14 x^{9} - 56 x^{8} + 14 x^{7} + 49 x^{4} - 392 x^{3} - 1764 x^{2} - 392 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 7 x^{2} + \left(21 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.10 |
$14$ |
$x^{14} - 14 x^{9} - 70 x^{8} + 14 x^{7} - 245 x^{4} - 1274 x^{3} - 1519 x^{2} - 490 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 14\right) x^{2} + \left(21 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.11 |
$14$ |
$x^{14} - 238 x^{9} - 14 x^{8} + 14 x^{7} + 3577 x^{4} - 1862 x^{3} - 1911 x^{2} - 98 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 7\right) x^{2} + \left(7 t + 14\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.12 |
$14$ |
$x^{14} - 84 x^{8} + 14 x^{7} + 588 x^{2} - 588 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 14 t x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.13 |
$14$ |
$x^{14} + 28 x^{9} - 154 x^{8} + 14 x^{7} + 196 x^{4} - 2156 x^{3} - 1225 x^{2} - 1078 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 14 x^{2} + \left(35 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.14 |
$14$ |
$x^{14} - 14 x^{9} - 140 x^{8} + 14 x^{7} - 245 x^{4} - 1372 x^{3} + 98 x^{2} - 980 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 14\right) x^{2} + \left(28 t + 14\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.15 |
$14$ |
$x^{14} - 168 x^{9} + 14 x^{7} - 3528 x^{4} - 7056 x^{3} - 2352 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 42\right) x^{2} + \left(14 t + 42\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.16 |
$14$ |
$x^{14} - 42 x^{9} - 126 x^{8} + 14 x^{7} - 735 x^{4} - 882 x^{3} + 1029 x^{2} - 882 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 21\right) x^{2} + 21 t x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.17 |
$14$ |
$x^{14} - 84 x^{9} - 28 x^{8} + 14 x^{7} + 588 x^{4} - 686 x^{2} - 196 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 14 t x^{2} + \left(7 t + 7\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.18 |
$14$ |
$x^{14} + 28 x^{8} + 14 x^{7} - 98 x^{2} + 196 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 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) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 21\right) x^{2} + 21 x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.20 |
$14$ |
$x^{14} - 210 x^{9} - 168 x^{8} + 14 x^{7} + 3675 x^{4} + 2940 x^{3} - 1764 x^{2} - 1176 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 35 t x^{2} + \left(35 t + 21\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 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) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 35\right) x^{2} + 7 x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.22 |
$14$ |
$x^{14} + 14 x^{9} - 182 x^{8} + 14 x^{7} + 49 x^{4} - 1274 x^{3} - 2205 x^{2} - 1274 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 7 x^{2} + \left(42 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.23 |
$14$ |
$x^{14} - 28 x^{9} - 42 x^{8} + 14 x^{7} - 98 x^{4} - 49 x^{2} - 294 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 7\right) x^{2} + 7 t x + 7$ |
$[1, 0]$ |
$[1]$ |
| 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) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(21 t + 35\right) x^{2} + 35 x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.26 |
$14$ |
$x^{14} - 154 x^{9} - 112 x^{8} + 14 x^{7} - 1421 x^{4} - 196 x^{3} - 588 x^{2} - 784 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 28\right) x^{2} + \left(21 t + 7\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.27 |
$14$ |
$x^{14} - 70 x^{9} - 98 x^{8} + 14 x^{7} + 49 x^{4} - 1274 x^{3} - 2793 x^{2} - 686 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$D_7:F_7$ (as 14T24) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 7\right) x^{2} + \left(28 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.28 |
$14$ |
$x^{14} + 28 x^{2} + 14 x + 21$ |
$7$ |
$14$ |
$1$ |
$14$ |
$D_7^2:C_6$ (as 14T32) |
$2$ |
$12$ |
$[13/12]$ |
$[13/12, 13/12]_{12}^{2}$ |
$t + 4$ |
$x^{14} + 28 x^{2} + 14 x + 21$ |
$[1, 0]$ |
$[1, 1]$ |
| 7.14.14.29 |
$14$ |
$x^{14} + 35 x^{2} + 7 x + 21$ |
$7$ |
$14$ |
$1$ |
$14$ |
$D_7^2:C_6$ (as 14T32) |
$2$ |
$12$ |
$[13/12]$ |
$[13/12, 13/12]_{12}^{2}$ |
$t + 4$ |
$x^{14} + 35 x^{2} + 7 x + 21$ |
$[1, 0]$ |
$[1, 1]$ |
| 7.14.14.30 |
$14$ |
$x^{14} + 42 x^{2} + 21 x + 7$ |
$7$ |
$14$ |
$1$ |
$14$ |
$D_7^2:C_6$ (as 14T32) |
$2$ |
$12$ |
$[13/12]$ |
$[13/12, 13/12]_{12}^{2}$ |
$t + 4$ |
$x^{14} + 42 x^{2} + 21 x + 7$ |
$[1, 0]$ |
$[1, 1]$ |
| 7.14.14.31 |
$14$ |
$x^{14} + 35 x^{2} + 14 x + 7$ |
$7$ |
$14$ |
$1$ |
$14$ |
$D_7^2:C_6$ (as 14T32) |
$2$ |
$12$ |
$[13/12]$ |
$[13/12, 13/12]_{12}^{2}$ |
$t + 4$ |
$x^{14} + 35 x^{2} + 14 x + 7$ |
$[1, 0]$ |
$[1, 1]$ |
| 7.14.14.32 |
$14$ |
$x^{14} + 7 x^{2} + 21 x + 21$ |
$7$ |
$14$ |
$1$ |
$14$ |
$D_7^2:C_6$ (as 14T32) |
$2$ |
$12$ |
$[13/12]$ |
$[13/12, 13/12]_{12}^{2}$ |
$t + 4$ |
$x^{14} + 7 x^{2} + 21 x + 21$ |
$[1, 0]$ |
$[1, 1]$ |
| 7.14.14.33 |
$14$ |
$x^{14} + 21 x^{2} + 7 x + 7$ |
$7$ |
$14$ |
$1$ |
$14$ |
$D_7^2:C_6$ (as 14T32) |
$2$ |
$12$ |
$[13/12]$ |
$[13/12, 13/12]_{12}^{2}$ |
$t + 4$ |
$x^{14} + 21 x^{2} + 7 x + 7$ |
$[1, 0]$ |
$[1, 1]$ |
| 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) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 14 x^{3} + 7 x^{2} + 21$ |
$[2, 0]$ |
$[2, 1]$ |
| 7.14.15.2 |
$14$ |
$x^{14} + 7 x^{3} + 35 x^{2} + 7$ |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7 \times C_2$ (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) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 14 x^{3} + 14 x^{2} + 21$ |
$[2, 0]$ |
$[2, 1]$ |
| 7.14.15.5 |
$14$ |
$x^{14} + 7 x^{3} + 7 x^{2} + 7$ |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7$ (as 14T4) |
$1$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}$ |
$t + 4$ |
$x^{14} + 7 x^{3} + 7 x^{2} + 7$ |
$[2, 0]$ |
$[1, 1]$ |
| 7.14.15.6 |
$14$ |
$x^{14} + 7 x^{3} + 21 x^{2} + 21$ |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7$ (as 14T4) |
$1$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}$ |
$t + 4$ |
$x^{14} + 7 x^{3} + 21 x^{2} + 21$ |
$[2, 0]$ |
$[1, 1]$ |
| 7.14.15.7 |
$14$ |
$x^{14} + 21 x^{3} + 28 x^{2} + 7$ |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7$ (as 14T4) |
$1$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}$ |
$t + 4$ |
$x^{14} + 21 x^{3} + 28 x^{2} + 7$ |
$[2, 0]$ |
$[1, 1]$ |
| 7.14.15.8 |
$14$ |
$x^{14} + 14 x^{3} + 42 x^{2} + 21$ |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7$ (as 14T4) |
$1$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}$ |
$t + 4$ |
$x^{14} + 14 x^{3} + 42 x^{2} + 21$ |
$[2, 0]$ |
$[1, 1]$ |
| 7.14.15.9 |
$14$ |
$x^{14} + 21 x^{3} + 14 x^{2} + 7$ |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7$ (as 14T4) |
$1$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}$ |
$t + 4$ |
$x^{14} + 21 x^{3} + 14 x^{2} + 7$ |
$[2, 0]$ |
$[1, 1]$ |
| 7.14.15.10 |
$14$ |
$x^{14} + 21 x^{3} + 35 x^{2} + 21$ |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7$ (as 14T4) |
$1$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}$ |
$t + 4$ |
$x^{14} + 21 x^{3} + 35 x^{2} + 21$ |
$[2, 0]$ |
$[1, 1]$ |
| 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) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6]_{6}^{2}$ |
$t + 4$ |
$x^{14} + 28 x^{2} + 21$ |
$[2, 0]$ |
$[2, 1]$ |
| 7.14.16.1 |
$14$ |
$x^{14} - 182 x^{10} - 210 x^{9} + 14 x^{7} - 2303 x^{6} - 2058 x^{5} + 441 x^{4} - 1274 x^{3} - 1470 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7:F_7$ (as 14T14) |
$2$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 35\right) x^{3} + \left(42 t + 21\right) x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
| 7.14.16.2 |
$14$ |
$x^{14} + 56 x^{10} + 42 x^{9} + 14 x^{7} + 784 x^{6} + 1176 x^{5} + 147 x^{4} + 392 x^{3} + 294 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 28 x^{3} + \left(7 t + 42\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
