| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.8.29.1 |
$8$ |
$x^{8} + 4 x^{6} + 16 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 16 x^{4} + 16 x^{2} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.10 |
$8$ |
$x^{8} + 4 x^{6} + 24 x^{4} + 16 x^{2} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 24 x^{4} + 16 x^{2} + 16 x + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.100 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x^{5} + 12 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x^{5} + 12 x^{4} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.101 |
$8$ |
$x^{8} + 8 x^{7} + 28 x^{6} + 20 x^{4} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 28 x^{6} + 20 x^{4} + 16 x + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.102 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{4} + 24 x^{2} + 16 x + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{4} + 24 x^{2} + 16 x + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.103 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.104 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 20 x^{4} + 24 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 20 x^{4} + 24 x^{2} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.105 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 16 x + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.106 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x^{3} + 24 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x^{3} + 24 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.107 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 24 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 24 x^{2} + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.108 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.109 |
$8$ |
$x^{8} + 8 x^{7} + 28 x^{6} + 28 x^{4} + 24 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 28 x^{6} + 28 x^{4} + 24 x^{2} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.11 |
$8$ |
$x^{8} + 20 x^{6} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 20 x^{6} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.110 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 16 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 16 x^{3} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.111 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 20 x^{4} + 16 x^{3} + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 20 x^{4} + 16 x^{3} + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.112 |
$8$ |
$x^{8} + 8 x^{7} + 28 x^{6} + 20 x^{4} + 24 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 28 x^{6} + 20 x^{4} + 24 x^{2} + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.113 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 16 x^{3} + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 16 x^{3} + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.114 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.115 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x^{5} + 24 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x^{5} + 24 x^{2} + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.116 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 28 x^{4} + 24 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 28 x^{4} + 24 x^{2} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.117 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 16 x^{5} + 8 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 16 x^{5} + 8 x^{4} + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.118 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 24 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 24 x^{2} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.119 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.12 |
$8$ |
$x^{8} + 4 x^{6} + 16 x^{5} + 24 x^{4} + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 16 x^{5} + 24 x^{4} + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.120 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.121 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 8 x^{4} + 24 x^{2} + 16 x + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 8 x^{4} + 24 x^{2} + 16 x + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.122 |
$8$ |
$x^{8} + 8 x^{7} + 28 x^{6} + 4 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 28 x^{6} + 4 x^{4} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.123 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.124 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 28 x^{4} + 16 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 28 x^{4} + 16 x^{2} + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.125 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 28 x^{4} + 16 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 28 x^{4} + 16 x^{2} + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.126 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 8 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.127 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 24 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 24 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.128 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 28 x^{4} + 16 x^{3} + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 28 x^{4} + 16 x^{3} + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.13 |
$8$ |
$x^{8} + 28 x^{6} + 8 x^{2} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 28 x^{6} + 8 x^{2} + 16 x + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.14 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{4} + 16 x^{2} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.15 |
$8$ |
$x^{8} + 4 x^{6} + 16 x^{4} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 16 x^{4} + 8 x^{2} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.16 |
$8$ |
$x^{8} + 4 x^{6} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.17 |
$8$ |
$x^{8} + 12 x^{6} + 28 x^{4} + 16 x^{2} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 28 x^{4} + 16 x^{2} + 16 x + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.18 |
$8$ |
$x^{8} + 4 x^{6} + 28 x^{4} + 8 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 28 x^{4} + 8 x^{2} + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.19 |
$8$ |
$x^{8} + 4 x^{6} + 4 x^{4} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 4 x^{4} + 16 x + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.2 |
$8$ |
$x^{8} + 12 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.20 |
$8$ |
$x^{8} + 4 x^{6} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.21 |
$8$ |
$x^{8} + 12 x^{6} + 20 x^{4} + 16 x^{2} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 20 x^{4} + 16 x^{2} + 16 x + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.22 |
$8$ |
$x^{8} + 12 x^{6} + 16 x^{5} + 12 x^{4} + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 16 x^{5} + 12 x^{4} + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.23 |
$8$ |
$x^{8} + 12 x^{6} + 20 x^{4} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 20 x^{4} + 16 x + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.24 |
$8$ |
$x^{8} + 28 x^{6} + 16 x^{5} + 12 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 28 x^{6} + 16 x^{5} + 12 x^{4} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.25 |
$8$ |
$x^{8} + 12 x^{6} + 16 x^{5} + 20 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 16 x^{5} + 20 x^{4} + 16 x^{2} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.26 |
$8$ |
$x^{8} + 28 x^{6} + 28 x^{4} + 8 x^{2} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 28 x^{6} + 28 x^{4} + 8 x^{2} + 16 x + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.27 |
$8$ |
$x^{8} + 12 x^{6} + 28 x^{4} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 28 x^{4} + 8 x^{2} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.28 |
$8$ |
$x^{8} + 12 x^{6} + 20 x^{4} + 8 x^{2} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 20 x^{4} + 8 x^{2} + 16 x + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
