| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 7.14.14.10 |
$14$ |
$x^{14} - 14 x^{9} - 70 x^{8} + 14 x^{7} - 245 x^{4} - 1274 x^{3} - 1519 x^{2} - 490 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 14\right) x^{2} + \left(21 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.12 |
$14$ |
$x^{14} - 84 x^{8} + 14 x^{7} + 588 x^{2} - 588 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (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) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 14 x^{2} + \left(35 t + 28\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.16 |
$14$ |
$x^{14} - 42 x^{9} - 126 x^{8} + 14 x^{7} - 735 x^{4} - 882 x^{3} + 1029 x^{2} - 882 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (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) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.2 |
$14$ |
$x^{14} - 84 x^{9} - 140 x^{8} + 14 x^{7} + 588 x^{4} - 3038 x^{2} - 980 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 14 t x^{2} + \left(35 t + 35\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.23 |
$14$ |
$x^{14} - 28 x^{9} - 42 x^{8} + 14 x^{7} - 98 x^{4} - 49 x^{2} - 294 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 7\right) x^{2} + 7 t x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.26 |
$14$ |
$x^{14} - 154 x^{9} - 112 x^{8} + 14 x^{7} - 1421 x^{4} - 196 x^{3} - 588 x^{2} - 784 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 28\right) x^{2} + \left(21 t + 7\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.3 |
$14$ |
$x^{14} + 42 x^{9} + 42 x^{8} + 14 x^{7} + 441 x^{4} + 882 x^{3} + 441 x^{2} + 294 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 21 x^{2} + \left(7 t + 42\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.6 |
$14$ |
$x^{14} - 196 x^{9} - 210 x^{8} + 14 x^{7} + 2254 x^{4} + 5880 x^{3} + 2303 x^{2} - 1470 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 7\right) x^{2} + 35 t x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.14.8 |
$14$ |
$x^{14} - 14 x^{9} - 84 x^{8} + 14 x^{7} - 1127 x^{4} - 4116 x^{3} - 3038 x^{2} - 588 x + 49$ |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6]$ |
$[7/6, 7/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 35\right) x^{2} + \left(28 t + 42\right) x + 7$ |
$[1, 0]$ |
$[1]$ |
| 7.14.16.10 |
$14$ |
$x^{14} - 238 x^{10} - 28 x^{9} + 14 x^{7} + 3577 x^{6} - 196 x^{5} - 98 x^{4} - 1666 x^{3} - 196 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 7\right) x^{3} + \left(7 t + 7\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
| 7.14.16.13 |
$14$ |
$x^{14} - 154 x^{10} - 56 x^{9} + 14 x^{7} - 1421 x^{6} - 1568 x^{5} - 392 x^{4} - 1078 x^{3} - 392 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 28\right) x^{3} + \left(14 t + 14\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
| 7.14.16.16 |
$14$ |
$x^{14} - 252 x^{10} - 112 x^{9} + 14 x^{7} + 5292 x^{6} + 3528 x^{5} + 490 x^{4} - 1764 x^{3} - 784 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 42 t x^{3} + \left(21 t + 7\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
| 7.14.16.19 |
$14$ |
$x^{14} - 84 x^{10} - 42 x^{9} + 14 x^{7} - 882 x^{6} + 147 x^{4} - 588 x^{3} - 294 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(21 t + 21\right) x^{3} + 7 t x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
| 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) |
$4$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 28 x^{3} + \left(7 t + 42\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
| 7.14.16.21 |
$14$ |
$x^{14} + 14 x^{10} - 70 x^{9} + 14 x^{7} + 49 x^{6} - 490 x^{5} - 1421 x^{4} + 98 x^{3} - 490 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 7 x^{3} + \left(21 t + 28\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
| 7.14.16.22 |
$14$ |
$x^{14} + 42 x^{10} - 14 x^{9} + 14 x^{7} + 441 x^{6} - 294 x^{5} - 1127 x^{4} + 294 x^{3} - 98 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 21 x^{3} + \left(14 t + 35\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
| 7.14.16.26 |
$14$ |
$x^{14} - 168 x^{10} - 42 x^{9} + 14 x^{7} - 294 x^{6} - 2352 x^{5} - 735 x^{4} - 1176 x^{3} - 294 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 21\right) x^{3} + \left(14 t + 21\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
| 7.14.16.4 |
$14$ |
$x^{14} - 224 x^{10} + 28 x^{9} + 14 x^{7} + 1960 x^{6} - 6664 x^{5} - 98 x^{4} - 1568 x^{3} + 196 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 14\right) x^{3} + \left(7 t + 35\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
| 7.14.16.7 |
$14$ |
$x^{14} - 42 x^{10} - 84 x^{9} + 14 x^{7} - 735 x^{6} - 588 x^{5} + 588 x^{4} - 294 x^{3} - 588 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 21\right) x^{3} + 14 t x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
| 7.14.16.8 |
$14$ |
$x^{14} - 154 x^{10} - 126 x^{9} + 14 x^{7} - 1421 x^{6} + 882 x^{5} + 1323 x^{4} - 1078 x^{3} - 882 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 28\right) x^{3} + 21 t x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
| 7.14.16.9 |
$14$ |
$x^{14} - 210 x^{10} - 84 x^{9} + 14 x^{7} + 441 x^{6} - 5292 x^{5} - 2940 x^{4} - 1470 x^{3} - 588 x^{2} + 49$ |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 21\right) x^{3} + \left(28 t + 42\right) x^{2} + 7$ |
$[2, 0]$ |
$[2]$ |
| 7.14.18.1 |
$14$ |
$x^{14} - 182 x^{11} - 168 x^{10} + 931 x^{8} - 2338 x^{7} - 3528 x^{6} - 1274 x^{4} - 1176 x^{3} + 49$ |
$7$ |
$7$ |
$2$ |
$18$ |
$C_7^2:C_{12}$ (as 14T23) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2]_{2}^{6}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 14\right) x^{4} + \left(42 t + 42\right) x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
| 7.14.18.14 |
$14$ |
$x^{14} - 98 x^{11} - 168 x^{10} - 245 x^{8} + 1190 x^{7} + 2352 x^{6} - 686 x^{4} - 1176 x^{3} + 49$ |
$7$ |
$7$ |
$2$ |
$18$ |
$C_7^2:C_{12}$ (as 14T23) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2]_{2}^{6}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(21 t + 14\right) x^{4} + 28 t x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
| 7.14.18.18 |
$14$ |
$x^{14} + 14 x^{11} - 14 x^{10} + 49 x^{8} - 84 x^{7} - 1127 x^{6} + 98 x^{4} - 98 x^{3} + 49$ |
$7$ |
$7$ |
$2$ |
$18$ |
$C_7^2:C_{12}$ (as 14T23) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2]_{2}^{6}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 7 x^{4} + \left(14 t + 35\right) x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
| 7.14.18.21 |
$14$ |
$x^{14} - 196 x^{11} - 42 x^{10} - 980 x^{8} - 2926 x^{7} - 735 x^{6} - 1372 x^{4} - 294 x^{3} + 49$ |
$7$ |
$7$ |
$2$ |
$18$ |
$C_7^2:C_{12}$ (as 14T23) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2]_{2}^{6}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 28\right) x^{4} + \left(14 t + 21\right) x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
| 7.14.18.26 |
$14$ |
$x^{14} - 70 x^{11} - 126 x^{10} + 49 x^{8} + 896 x^{7} + 1323 x^{6} - 490 x^{4} - 882 x^{3} + 49$ |
$7$ |
$7$ |
$2$ |
$18$ |
$C_7^2:C_{12}$ (as 14T23) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2]_{2}^{6}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 7\right) x^{4} + 21 t x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
| 7.14.18.4 |
$14$ |
$x^{14} - 140 x^{11} - 84 x^{10} - 2450 x^{8} + 14 x^{7} + 588 x^{6} - 980 x^{4} - 588 x^{3} + 49$ |
$7$ |
$7$ |
$2$ |
$18$ |
$C_7^2:C_{12}$ (as 14T23) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2]_{2}^{6}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 35\right) x^{4} + 14 t x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
| 7.14.18.7 |
$14$ |
$x^{14} - 14 x^{11} - 28 x^{10} - 245 x^{8} - 378 x^{7} - 98 x^{6} - 98 x^{4} - 196 x^{3} + 49$ |
$7$ |
$7$ |
$2$ |
$18$ |
$C_7^2:C_{12}$ (as 14T23) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2]_{2}^{6}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 14\right) x^{4} + \left(7 t + 7\right) x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
| 7.14.18.8 |
$14$ |
$x^{14} + 28 x^{11} - 56 x^{10} - 98 x^{8} - 1946 x^{7} - 392 x^{6} + 196 x^{4} - 392 x^{3} + 49$ |
$7$ |
$7$ |
$2$ |
$18$ |
$C_7^2:C_{12}$ (as 14T23) |
$6$ |
$2$ |
$[3/2]$ |
$[3/2, 3/2]_{2}^{6}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 35\right) x^{4} + \left(14 t + 14\right) x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
| 7.14.20.1 |
$14$ |
$x^{14} - 140 x^{12} - 252 x^{11} - 2450 x^{10} + 5292 x^{8} + 14 x^{7} - 980 x^{5} - 1764 x^{4} + 49$ |
$7$ |
$7$ |
$2$ |
$20$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 35\right) x^{5} + 42 t x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
| 7.14.20.11 |
$14$ |
$x^{14} - 210 x^{12} - 140 x^{11} + 441 x^{10} - 2940 x^{9} - 2450 x^{8} + 14 x^{7} - 1470 x^{5} - 980 x^{4} + 49$ |
$7$ |
$7$ |
$2$ |
$20$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 21\right) x^{5} + \left(35 t + 35\right) x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
| 7.14.20.14 |
$14$ |
$x^{14} - 182 x^{12} - 224 x^{11} - 2303 x^{10} - 784 x^{9} + 1960 x^{8} + 14 x^{7} - 1274 x^{5} - 1568 x^{4} + 49$ |
$7$ |
$7$ |
$2$ |
$20$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 35\right) x^{5} + \left(42 t + 14\right) x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
| 7.14.20.15 |
$14$ |
$x^{14} - 196 x^{12} - 210 x^{11} + 2254 x^{10} + 5880 x^{9} + 3675 x^{8} + 14 x^{7} - 1372 x^{5} - 1470 x^{4} + 49$ |
$7$ |
$7$ |
$2$ |
$20$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 7\right) x^{5} + 35 t x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
| 7.14.20.16 |
$14$ |
$x^{14} - 182 x^{12} + 28 x^{11} - 2303 x^{10} - 6076 x^{9} - 98 x^{8} + 14 x^{7} - 1274 x^{5} + 196 x^{4} + 49$ |
$7$ |
$7$ |
$2$ |
$20$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 35\right) x^{5} + \left(7 t + 35\right) x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
| 7.14.20.17 |
$14$ |
$x^{14} - 112 x^{11} - 294 x^{10} - 2352 x^{9} - 1568 x^{8} + 14 x^{7} - 784 x^{4} + 49$ |
$7$ |
$7$ |
$2$ |
$20$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 21\right) x^{5} + \left(28 t + 28\right) x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
| 7.14.20.20 |
$14$ |
$x^{14} - 98 x^{12} - 84 x^{11} - 2303 x^{10} - 2940 x^{9} - 882 x^{8} + 14 x^{7} - 686 x^{5} - 588 x^{4} + 49$ |
$7$ |
$7$ |
$2$ |
$20$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(28 t + 35\right) x^{5} + \left(21 t + 21\right) x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
| 7.14.20.23 |
$14$ |
$x^{14} - 210 x^{12} - 70 x^{11} + 441 x^{10} - 3234 x^{9} - 1421 x^{8} + 14 x^{7} - 1470 x^{5} - 490 x^{4} + 49$ |
$7$ |
$7$ |
$2$ |
$20$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 21\right) x^{5} + \left(21 t + 28\right) x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
| 7.14.20.26 |
$14$ |
$x^{14} - 154 x^{12} - 238 x^{11} - 1421 x^{10} + 686 x^{9} + 3577 x^{8} + 14 x^{7} - 1078 x^{5} - 1666 x^{4} + 49$ |
$7$ |
$7$ |
$2$ |
$20$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 28\right) x^{5} + \left(42 t + 7\right) x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
| 7.14.20.27 |
$14$ |
$x^{14} - 210 x^{12} - 84 x^{11} + 3675 x^{10} + 2940 x^{9} + 588 x^{8} + 14 x^{7} - 1470 x^{5} - 588 x^{4} + 49$ |
$7$ |
$7$ |
$2$ |
$20$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 35 t x^{5} + 14 t x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
| 7.14.20.4 |
$14$ |
$x^{14} - 224 x^{12} - 126 x^{11} + 1960 x^{10} - 735 x^{8} + 14 x^{7} - 1568 x^{5} - 882 x^{4} + 49$ |
$7$ |
$7$ |
$2$ |
$20$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(42 t + 14\right) x^{5} + \left(28 t + 21\right) x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
| 7.14.20.9 |
$14$ |
$x^{14} - 140 x^{12} - 56 x^{11} + 196 x^{10} - 784 x^{9} - 392 x^{8} + 14 x^{7} - 980 x^{5} - 392 x^{4} + 49$ |
$7$ |
$7$ |
$2$ |
$20$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(28 t + 14\right) x^{5} + \left(14 t + 14\right) x^{4} + 7$ |
$[4, 0]$ |
$[2]$ |
| 7.14.22.1 |
$14$ |
$x^{14} - 154 x^{13} - 1379 x^{12} - 6174 x^{11} + 147 x^{10} + 14 x^{7} - 1078 x^{6} + 294 x^{5} + 49$ |
$7$ |
$7$ |
$2$ |
$22$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6, 11/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(35 t + 28\right) x^{6} + \left(7 t + 42\right) x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
| 7.14.22.10 |
$14$ |
$x^{14} - 70 x^{13} - 63 x^{12} - 784 x^{11} - 1568 x^{10} + 14 x^{7} - 490 x^{6} - 784 x^{5} + 49$ |
$7$ |
$7$ |
$2$ |
$22$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6, 11/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 7\right) x^{6} + \left(28 t + 28\right) x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
| 7.14.22.11 |
$14$ |
$x^{14} - 252 x^{13} + 5110 x^{12} + 5292 x^{11} + 931 x^{10} + 14 x^{7} - 1764 x^{6} - 1274 x^{5} + 49$ |
$7$ |
$7$ |
$2$ |
$22$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6, 11/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 42 t x^{6} + \left(35 t + 14\right) x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
| 7.14.22.12 |
$14$ |
$x^{14} - 70 x^{13} - 77 x^{12} + 882 x^{11} + 1323 x^{10} + 14 x^{7} - 490 x^{6} - 882 x^{5} + 49$ |
$7$ |
$7$ |
$2$ |
$22$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6, 11/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(14 t + 7\right) x^{6} + 21 t x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
| 7.14.22.13 |
$14$ |
$x^{14} + 28 x^{13} - 168 x^{12} - 2744 x^{11} - 1421 x^{10} + 14 x^{7} + 196 x^{6} - 490 x^{5} + 49$ |
$7$ |
$7$ |
$2$ |
$22$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6, 11/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 35\right) x^{6} + \left(21 t + 28\right) x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
| 7.14.22.24 |
$14$ |
$x^{14} + 14 x^{13} - 413 x^{12} - 4704 x^{11} - 3528 x^{10} + 14 x^{7} + 98 x^{6} - 1176 x^{5} + 49$ |
$7$ |
$7$ |
$2$ |
$22$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[11/6]$ |
$[11/6, 11/6]_{6}^{2}$ |
$t^{2} + 6 t + 3$ |
$x^{7} + \left(7 t + 28\right) x^{6} + \left(42 t + 42\right) x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
