| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.14.27.1 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 14$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[12/7, 12/7, 12/7, 16/7, 16/7, 16/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 14$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.10 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{6} + 4 x^{2} + 4 x + 2$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{6} + 4 x^{2} + 4 x + 2$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.100 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{11} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 14$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[10/7, 10/7, 10/7, 16/7, 16/7, 16/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{11} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 14$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.101 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x + 14$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x + 14$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.102 |
$14$ |
$x^{14} + 6 x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[16/7, 16/7, 16/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 6 x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.103 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[3]$ |
$[10/7, 10/7, 10/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.104 |
$14$ |
$x^{14} + 6 x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[16/7, 16/7, 16/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 6 x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.105 |
$14$ |
$x^{14} + 4 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 4 x^{3} + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[10/7, 10/7, 10/7, 18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 4 x^{3} + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.106 |
$14$ |
$x^{14} + 2 x^{12} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[12/7, 12/7, 12/7, 18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{12} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.107 |
$14$ |
$x^{14} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 14$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[8/7, 8/7, 8/7, 10/7, 10/7, 10/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 14$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.108 |
$14$ |
$x^{14} + 4 x^{13} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 4 x + 6$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[16/7, 16/7, 16/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 4 x + 6$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.109 |
$14$ |
$x^{14} + 4 x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x + 6$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x + 6$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.11 |
$14$ |
$x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x + 14$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[8/7, 8/7, 8/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x + 14$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.110 |
$14$ |
$x^{14} + 4 x^{12} + 4 x^{10} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[10/7, 10/7, 10/7, 18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{12} + 4 x^{10} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.111 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 4 x + 14$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[16/7, 16/7, 16/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 4 x + 14$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.112 |
$14$ |
$x^{14} + 4 x^{13} + 6 x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 4 x + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 6 x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 4 x + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.113 |
$14$ |
$x^{14} + 6 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[12/7, 12/7, 12/7, 18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 6 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.114 |
$14$ |
$x^{14} + 2 x^{12} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 6$ |
$2$ |
$14$ |
$1$ |
$27$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{12} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 6$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.115 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.116 |
$14$ |
$x^{14} + 4 x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[10/7, 10/7, 10/7, 18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.117 |
$14$ |
$x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{10} + 4 x^{9} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[12/7, 12/7, 12/7, 18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{10} + 4 x^{9} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.118 |
$14$ |
$x^{14} + 4 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{3} + 4 x^{2} + 2$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[10/7, 10/7, 10/7, 18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{3} + 4 x^{2} + 2$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.119 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[12/7, 12/7, 12/7, 18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.12 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[12/7, 12/7, 12/7, 18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.120 |
$14$ |
$x^{14} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 14$ |
$2$ |
$14$ |
$1$ |
$27$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 14$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.121 |
$14$ |
$x^{14} + 6 x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 6$ |
$2$ |
$14$ |
$1$ |
$27$ |
$(C_7:C_3) \times C_2$ (as 14T5) |
$3$ |
$7$ |
$[3]$ |
$[3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 6 x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 6$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.122 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{11} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 14$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[10/7, 10/7, 10/7, 18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{11} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 14$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.123 |
$14$ |
$x^{14} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x + 6$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[16/7, 16/7, 16/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x + 6$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.124 |
$14$ |
$x^{14} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[3]$ |
$[12/7, 12/7, 12/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.125 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.126 |
$14$ |
$x^{14} + 4 x^{13} + 2 x^{12} + 6 x^{8} + 2 x^{6} + 4 x^{3} + 2$ |
$2$ |
$14$ |
$1$ |
$27$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[3]$ |
$[8/7, 8/7, 8/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 2 x^{12} + 6 x^{8} + 2 x^{6} + 4 x^{3} + 2$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.127 |
$14$ |
$x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 14$ |
$2$ |
$14$ |
$1$ |
$27$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[3]$ |
$[20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 14$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.128 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{10} + 4 x^{8} + 4 x^{6} + 4 x + 6$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{10} + 4 x^{8} + 4 x^{6} + 4 x + 6$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.129 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[10/7, 10/7, 10/7, 16/7, 16/7, 16/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.13 |
$14$ |
$x^{14} + 4 x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 4 x^{4} + 6$ |
$2$ |
$14$ |
$1$ |
$27$ |
$(C_7:C_3) \times C_2$ (as 14T5) |
$3$ |
$7$ |
$[3]$ |
$[3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 4 x^{4} + 6$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.130 |
$14$ |
$x^{14} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{5} + 4 x^{2} + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[10/7, 10/7, 10/7, 16/7, 16/7, 16/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{5} + 4 x^{2} + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.131 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{3} + 4 x + 2$ |
$2$ |
$14$ |
$1$ |
$27$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[3]$ |
$[20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{3} + 4 x + 2$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.132 |
$14$ |
$x^{14} + 2 x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 14$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 14$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.133 |
$14$ |
$x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x + 6$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[16/7, 16/7, 16/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x + 6$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.134 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.135 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{5} + 4 x^{3} + 6$ |
$2$ |
$14$ |
$1$ |
$27$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{5} + 4 x^{3} + 6$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.136 |
$14$ |
$x^{14} + 2 x^{12} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{12} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.137 |
$14$ |
$x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{2} + 6$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[10/7, 10/7, 10/7, 18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 2 x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{2} + 6$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.138 |
$14$ |
$x^{14} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x + 2$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[8/7, 8/7, 8/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x + 2$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.139 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{8} + 4 x^{6} + 4 x^{4} + 4 x + 6$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[18/7, 18/7, 18/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{8} + 4 x^{6} + 4 x^{4} + 4 x + 6$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.14 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[10/7, 10/7, 10/7, 18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.140 |
$14$ |
$x^{14} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{3} + 4 x + 2$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[8/7, 8/7, 8/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{3} + 4 x + 2$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.141 |
$14$ |
$x^{14} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 10$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[12/7, 12/7, 12/7, 16/7, 16/7, 16/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 10$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.142 |
$14$ |
$x^{14} + 4 x^{13} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 14$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[12/7, 12/7, 12/7, 18/7, 18/7, 18/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{13} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 14$ |
$[14, 0]$ |
$[1, 3]$ |
| 2.14.27.143 |
$14$ |
$x^{14} + 4 x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 4 x + 14$ |
$2$ |
$14$ |
$1$ |
$27$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[3]$ |
$[16/7, 16/7, 16/7, 20/7, 20/7, 20/7, 3]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 4 x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 4 x + 14$ |
$[14, 0]$ |
$[1, 3]$ |
