| 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 |
| 3.1.14.13a1.1 |
$14$ |
$x^{14} + 3$ |
$3$ |
$1$ |
$14$ |
$13$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$14$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{14}^{6}$ |
$[\ ]_{14}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$2$ |
$t + 1$ |
$x^{14} + 3$ |
$[0]$ |
$[6]$ |
$z^{13} + 2 z^{12} + z^{11} + z^{10} + 2 z^9 + z^8 + z^4 + 2 z^3 + z^2 + z + 2$ |
$[7]$ |
| 3.1.14.13a1.2 |
$14$ |
$x^{14} + 6$ |
$3$ |
$1$ |
$14$ |
$13$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$14$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{14}^{6}$ |
$[\ ]_{14}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$2$ |
$t + 1$ |
$x^{14} + 6$ |
$[0]$ |
$[6]$ |
$z^{13} + 2 z^{12} + z^{11} + z^{10} + 2 z^9 + z^8 + z^4 + 2 z^3 + z^2 + z + 2$ |
undefined |
| 5.1.14.13a1.1 |
$14$ |
$x^{14} + 5$ |
$5$ |
$1$ |
$14$ |
$13$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$14$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{14}^{6}$ |
$[\ ]_{14}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$2$ |
$t + 3$ |
$x^{14} + 5$ |
$[0]$ |
$[6]$ |
$z^{13} + 4 z^{12} + z^{11} + 4 z^{10} + z^9 + 2 z^8 + 3 z^7 + 2 z^6 + 3 z^5 + 2 z^4 + z^3 + 4 z^2 + z + 4$ |
undefined |
| 5.1.14.13a1.2 |
$14$ |
$x^{14} + 10$ |
$5$ |
$1$ |
$14$ |
$13$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$14$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{14}^{6}$ |
$[\ ]_{14}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$2$ |
$t + 3$ |
$x^{14} + 10$ |
$[0]$ |
$[6]$ |
$z^{13} + 4 z^{12} + z^{11} + 4 z^{10} + z^9 + 2 z^8 + 3 z^7 + 2 z^6 + 3 z^5 + 2 z^4 + z^3 + 4 z^2 + z + 4$ |
undefined |
| 7.2.7.14a1.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 42 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 42 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (5 t + 1)$ |
undefined |
| 7.2.7.14a2.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 35 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 35 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t + 2)$ |
undefined |
| 7.2.7.14a3.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 28 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 28 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (t + 3)$ |
undefined |
| 7.2.7.14a4.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 21 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 21 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (6 t + 4)$ |
undefined |
| 7.2.7.14a5.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 14 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 14 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t + 5)$ |
undefined |
| 7.2.7.14a6.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 7 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 7 x + 7$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t + 6)$ |
undefined |
| 7.2.7.18a2.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 28 ( x^{2} + 6 x + 3 )^{3} + 7$ |
$7$ |
$2$ |
$7$ |
$18$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}^{6}$ |
$[\frac{1}{2}]_{2}^{6}$ |
$[\ ]^{3}_{2}$ |
$[\ ]^{3}_{2}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 28 x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
$z^3 + (2 t + 6)$ |
undefined |
| 7.2.7.18a3.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 42 ( x^{2} + 6 x + 3 )^{3} + 7$ |
$7$ |
$2$ |
$7$ |
$18$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}^{6}$ |
$[\frac{1}{2}]_{2}^{6}$ |
$[\ ]^{3}_{2}$ |
$[\ ]^{3}_{2}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 42 x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
$z^3 + (3 t + 2)$ |
undefined |
| 7.2.7.18a4.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 7 ( x^{2} + 6 x + 3 )^{3} + 7$ |
$7$ |
$2$ |
$7$ |
$18$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}^{6}$ |
$[\frac{1}{2}]_{2}^{6}$ |
$[\ ]^{3}_{2}$ |
$[\ ]^{3}_{2}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 7 x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
$z^3 + (4 t + 5)$ |
undefined |
| 7.2.7.18a5.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 21 ( x^{2} + 6 x + 3 )^{3} + 7$ |
$7$ |
$2$ |
$7$ |
$18$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}^{6}$ |
$[\frac{1}{2}]_{2}^{6}$ |
$[\ ]^{3}_{2}$ |
$[\ ]^{3}_{2}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 21 x^{3} + 7$ |
$[3, 0]$ |
$[3]$ |
$z^3 + (5 t + 1)$ |
undefined |
| 7.2.7.22a1.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 28 ( x^{2} + 6 x + 3 )^{5} + 7$ |
$7$ |
$2$ |
$7$ |
$22$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{11}{6}]$ |
$[\frac{5}{6}]$ |
$[\frac{11}{6}]_{6}^{2}$ |
$[\frac{5}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 28 x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
$z + (3 t + 2)$ |
undefined |
| 7.2.7.22a2.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 7 ( x^{2} + 6 x + 3 )^{5} + 7$ |
$7$ |
$2$ |
$7$ |
$22$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{11}{6}]$ |
$[\frac{5}{6}]$ |
$[\frac{11}{6}]_{6}^{2}$ |
$[\frac{5}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 7 x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
$z + (6 t + 4)$ |
undefined |
| 7.2.7.22a3.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 35 ( x^{2} + 6 x + 3 )^{5} + 7$ |
$7$ |
$2$ |
$7$ |
$22$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{11}{6}]$ |
$[\frac{5}{6}]$ |
$[\frac{11}{6}]_{6}^{2}$ |
$[\frac{5}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 35 x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
$z + (2 t + 6)$ |
undefined |
| 7.2.7.22a4.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 14 ( x^{2} + 6 x + 3 )^{5} + 7$ |
$7$ |
$2$ |
$7$ |
$22$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{11}{6}]$ |
$[\frac{5}{6}]$ |
$[\frac{11}{6}]_{6}^{2}$ |
$[\frac{5}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 14 x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
$z + (5 t + 1)$ |
undefined |
| 7.2.7.22a5.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 42 ( x^{2} + 6 x + 3 )^{5} + 7$ |
$7$ |
$2$ |
$7$ |
$22$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{11}{6}]$ |
$[\frac{5}{6}]$ |
$[\frac{11}{6}]_{6}^{2}$ |
$[\frac{5}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 42 x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
$z + (t + 3)$ |
undefined |
| 7.2.7.22a6.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 21 ( x^{2} + 6 x + 3 )^{5} + 7$ |
$7$ |
$2$ |
$7$ |
$22$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{11}{6}]$ |
$[\frac{5}{6}]$ |
$[\frac{11}{6}]_{6}^{2}$ |
$[\frac{5}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 21 x^{5} + 7$ |
$[5, 0]$ |
$[1]$ |
$z + (4 t + 5)$ |
undefined |
| 7.2.7.26a1.1 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 7$ |
$7$ |
$2$ |
$7$ |
$26$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{13}{6}]$ |
$[\frac{7}{6}]$ |
$[\frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 7$ |
$[7, 0]$ |
$[1]$ |
$z + (5 t + 1)$ |
undefined |
| 7.2.7.26a1.5 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 49 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$26$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{13}{6}]$ |
$[\frac{7}{6}]$ |
$[\frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 49 x + 7$ |
$[7, 0]$ |
$[1]$ |
$z + (5 t + 1)$ |
undefined |
| 7.2.7.26a1.9 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 98 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$26$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{13}{6}]$ |
$[\frac{7}{6}]$ |
$[\frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 98 x + 7$ |
$[7, 0]$ |
$[1]$ |
$z + (5 t + 1)$ |
undefined |
| 7.2.7.26a1.13 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 147 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$26$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{13}{6}]$ |
$[\frac{7}{6}]$ |
$[\frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 147 x + 7$ |
$[7, 0]$ |
$[1]$ |
$z + (5 t + 1)$ |
undefined |
| 7.2.7.26a1.17 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 196 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$26$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{13}{6}]$ |
$[\frac{7}{6}]$ |
$[\frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 196 x + 7$ |
$[7, 0]$ |
$[1]$ |
$z + (5 t + 1)$ |
undefined |
| 7.2.7.26a1.21 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 245 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$26$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{13}{6}]$ |
$[\frac{7}{6}]$ |
$[\frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 245 x + 7$ |
$[7, 0]$ |
$[1]$ |
$z + (5 t + 1)$ |
undefined |
| 7.2.7.26a1.25 |
$14$ |
$( x^{2} + 6 x + 3 )^{7} + 294 ( x^{2} + 6 x + 3 ) + 7$ |
$7$ |
$2$ |
$7$ |
$26$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{13}{6}]$ |
$[\frac{7}{6}]$ |
$[\frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\ ]_{6}$ |
$[\ ]_{6}$ |
$2$ |
$t^{2} + 6 t + 3$ |
$x^{7} + 294 x + 7$ |
$[7, 0]$ |
$[1]$ |
$z + (5 t + 1)$ |
undefined |
| 7.1.14.15a1.1 |
$14$ |
$x^{14} + 21 x^{2} + 7$ |
$7$ |
$1$ |
$14$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 21 x^{2} + 7$ |
$[2, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 1$ |
undefined |
| 7.1.14.15a1.2 |
$14$ |
$x^{14} + 35 x^{2} + 7$ |
$7$ |
$1$ |
$14$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 35 x^{2} + 7$ |
$[2, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 4$ |
undefined |
| 7.1.14.15a1.3 |
$14$ |
$x^{14} + 42 x^{2} + 7$ |
$7$ |
$1$ |
$14$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 42 x^{2} + 7$ |
$[2, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 2$ |
undefined |
| 7.1.14.15a1.4 |
$14$ |
$x^{14} + 7 x^{2} + 21$ |
$7$ |
$1$ |
$14$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 7 x^{2} + 21$ |
$[2, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 4$ |
undefined |
| 7.1.14.15a1.5 |
$14$ |
$x^{14} + 14 x^{2} + 21$ |
$7$ |
$1$ |
$14$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 14 x^{2} + 21$ |
$[2, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 1$ |
undefined |
| 7.1.14.15a1.6 |
$14$ |
$x^{14} + 28 x^{2} + 21$ |
$7$ |
$1$ |
$14$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{7}{6}]$ |
$[\frac{1}{6}]$ |
$[\frac{7}{6}]_{6}^{2}$ |
$[\frac{1}{6}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 28 x^{2} + 21$ |
$[2, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 2$ |
undefined |
| 7.1.14.17a1.1 |
$14$ |
$x^{14} + 21 x^{4} + 7$ |
$7$ |
$1$ |
$14$ |
$17$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{6}^{2}$ |
$[\frac{1}{3}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 21 x^{4} + 7$ |
$[4, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 2$ |
undefined |
| 7.1.14.17a1.2 |
$14$ |
$x^{14} + 35 x^{4} + 7$ |
$7$ |
$1$ |
$14$ |
$17$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{6}^{2}$ |
$[\frac{1}{3}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 35 x^{4} + 7$ |
$[4, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 1$ |
undefined |
| 7.1.14.17a1.3 |
$14$ |
$x^{14} + 42 x^{4} + 7$ |
$7$ |
$1$ |
$14$ |
$17$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{6}^{2}$ |
$[\frac{1}{3}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 42 x^{4} + 7$ |
$[4, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 4$ |
undefined |
| 7.1.14.17a1.4 |
$14$ |
$x^{14} + 7 x^{4} + 21$ |
$7$ |
$1$ |
$14$ |
$17$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{6}^{2}$ |
$[\frac{1}{3}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 7 x^{4} + 21$ |
$[4, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 1$ |
undefined |
| 7.1.14.17a1.5 |
$14$ |
$x^{14} + 14 x^{4} + 21$ |
$7$ |
$1$ |
$14$ |
$17$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{6}^{2}$ |
$[\frac{1}{3}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 14 x^{4} + 21$ |
$[4, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 2$ |
undefined |
| 7.1.14.17a1.6 |
$14$ |
$x^{14} + 28 x^{4} + 21$ |
$7$ |
$1$ |
$14$ |
$17$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}]_{6}^{2}$ |
$[\frac{1}{3}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 28 x^{4} + 21$ |
$[4, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 4$ |
undefined |
| 7.1.14.19a1.1 |
$14$ |
$x^{14} + 7 x^{6} + 7$ |
$7$ |
$1$ |
$14$ |
$19$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}^{6}$ |
$[\frac{1}{2}]_{2}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$2$ |
$t + 4$ |
$x^{14} + 7 x^{6} + 7$ |
$[6, 0]$ |
$[1, 6]$ |
$z^7 + 2,2 z^6 + 1$ |
undefined |
| 7.1.14.19a1.2 |
$14$ |
$x^{14} + 21 x^{6} + 21$ |
$7$ |
$1$ |
$14$ |
$19$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}^{6}$ |
$[\frac{1}{2}]_{2}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$2$ |
$t + 4$ |
$x^{14} + 21 x^{6} + 21$ |
$[6, 0]$ |
$[1, 6]$ |
$z^7 + 2,2 z^6 + 1$ |
undefined |
| 7.1.14.19a4.1 |
$14$ |
$x^{14} + 28 x^{6} + 7$ |
$7$ |
$1$ |
$14$ |
$19$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}^{6}$ |
$[\frac{1}{2}]_{2}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$2$ |
$t + 4$ |
$x^{14} + 28 x^{6} + 7$ |
$[6, 0]$ |
$[1, 6]$ |
$z^7 + 2,2 z^6 + 4$ |
undefined |
| 7.1.14.19a4.2 |
$14$ |
$x^{14} + 35 x^{6} + 21$ |
$7$ |
$1$ |
$14$ |
$19$ |
$F_7 \times C_2$ (as 14T7) |
$6$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{2}^{6}$ |
$[\frac{1}{2}]_{2}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$2$ |
$t + 4$ |
$x^{14} + 35 x^{6} + 21$ |
$[6, 0]$ |
$[1, 6]$ |
$z^7 + 2,2 z^6 + 4$ |
undefined |
| 7.1.14.21a1.1 |
$14$ |
$x^{14} + 21 x^{8} + 7$ |
$7$ |
$1$ |
$14$ |
$21$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
$[\frac{5}{3}]_{6}^{2}$ |
$[\frac{2}{3}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 21 x^{8} + 7$ |
$[8, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 4$ |
undefined |
| 7.1.14.21a1.5 |
$14$ |
$x^{14} + 35 x^{8} + 7$ |
$7$ |
$1$ |
$14$ |
$21$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
$[\frac{5}{3}]_{6}^{2}$ |
$[\frac{2}{3}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 35 x^{8} + 7$ |
$[8, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 2$ |
undefined |
| 7.1.14.21a1.9 |
$14$ |
$x^{14} + 42 x^{8} + 7$ |
$7$ |
$1$ |
$14$ |
$21$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
$[\frac{5}{3}]_{6}^{2}$ |
$[\frac{2}{3}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 42 x^{8} + 7$ |
$[8, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 1$ |
undefined |
| 7.1.14.21a1.13 |
$14$ |
$x^{14} + 7 x^{8} + 21$ |
$7$ |
$1$ |
$14$ |
$21$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
$[\frac{5}{3}]_{6}^{2}$ |
$[\frac{2}{3}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 7 x^{8} + 21$ |
$[8, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 2$ |
undefined |
| 7.1.14.21a1.17 |
$14$ |
$x^{14} + 14 x^{8} + 21$ |
$7$ |
$1$ |
$14$ |
$21$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
$[\frac{5}{3}]_{6}^{2}$ |
$[\frac{2}{3}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 14 x^{8} + 21$ |
$[8, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 4$ |
undefined |
| 7.1.14.21a1.21 |
$14$ |
$x^{14} + 28 x^{8} + 21$ |
$7$ |
$1$ |
$14$ |
$21$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
$[\frac{5}{3}]_{6}^{2}$ |
$[\frac{2}{3}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 28 x^{8} + 21$ |
$[8, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 1$ |
undefined |
| 7.1.14.23a1.1 |
$14$ |
$x^{14} + 7 x^{10} + 7$ |
$7$ |
$1$ |
$14$ |
$23$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[\frac{11}{6}]$ |
$[\frac{5}{6}]$ |
$[\frac{11}{6}]_{6}^{2}$ |
$[\frac{5}{6}]_{6}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$2$ |
$t + 4$ |
$x^{14} + 7 x^{10} + 7$ |
$[10, 0]$ |
$[1, 2]$ |
$z^7 + 2,2 z^2 + 4$ |
undefined |
