Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
2.8.30.1 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 20 x^{4} + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 20 x^{4} + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.10 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 10$ |
$2$ |
$8$ |
$1$ |
$30$ |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 10$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.100 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 24 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 24 x^{2} + 10$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.101 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 10$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 10$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.102 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x^{2} + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.103 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{3} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{3} + 16 x + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.104 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{2} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{2} + 16 x + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.105 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 8 x^{2} + 10$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.106 |
$8$ |
$x^{8} + 8 x^{7} + 24 x^{2} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 24 x^{2} + 16 x + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.107 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 24 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 24 x^{2} + 10$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.108 |
$8$ |
$x^{8} + 8 x^{7} + 24 x^{4} + 24 x^{2} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 24 x^{4} + 24 x^{2} + 16 x + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.109 |
$8$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 16 x^{4} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 16 x^{4} + 8 x^{2} + 2$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.11 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 20 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$30$ |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 20 x^{4} + 26$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.110 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{3} + 8 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{3} + 8 x^{2} + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.111 |
$8$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 16 x^{5} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 16 x^{5} + 8 x^{2} + 10$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.112 |
$8$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 16 x^{5} + 2$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 16 x^{5} + 2$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.113 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{4} + 8 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{4} + 8 x^{2} + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.114 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 8 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 8 x^{2} + 26$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.115 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 16 x + 2$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.116 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 10$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 10$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.117 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{2} + 2$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.118 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 8 x^{2} + 16 x + 10$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 8 x^{2} + 16 x + 10$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.119 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{3} + 24 x^{2} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{3} + 24 x^{2} + 16 x + 2$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.12 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 16 x^{5} + 4 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$30$ |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 16 x^{5} + 4 x^{4} + 26$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.120 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 26$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 26$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.121 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 16 x^{3} + 8 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 16 x^{3} + 8 x^{2} + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.122 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 16 x^{5} + 24 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 16 x^{5} + 24 x^{2} + 26$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.123 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x^{2} + 10$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.124 |
$8$ |
$x^{8} + 8 x^{7} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.125 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 26$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 26$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.126 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{2} + 10$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.127 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 16 x^{5} + 26$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 16 x^{5} + 26$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.128 |
$8$ |
$x^{8} + 8 x^{7} + 26$ |
$2$ |
$8$ |
$1$ |
$30$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 26$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.13 |
$8$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 16 x^{5} + 12 x^{4} + 24 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$30$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 16 x^{5} + 12 x^{4} + 24 x^{2} + 2$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.14 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 20 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$30$ |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{5} + 20 x^{4} + 26$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.15 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$30$ |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 2$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.16 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 4 x^{4} + 10$ |
$2$ |
$8$ |
$1$ |
$30$ |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 4 x^{4} + 10$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.17 |
$8$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 12 x^{4} + 24 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 12 x^{4} + 24 x^{2} + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.18 |
$8$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 16 x^{5} + 20 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$30$ |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 16 x^{5} + 20 x^{4} + 2$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.19 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 28 x^{4} + 24 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$30$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 28 x^{4} + 24 x^{2} + 2$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.2 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 12 x^{4} + 24 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 12 x^{4} + 24 x^{2} + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.20 |
$8$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 16 x^{5} + 20 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$30$ |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 16 x^{5} + 20 x^{4} + 26$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.21 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 12 x^{4} + 8 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 12 x^{4} + 8 x^{2} + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.22 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 4 x^{4} + 24 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$30$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 4 x^{4} + 24 x^{2} + 2$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.23 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 28 x^{4} + 24 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 28 x^{4} + 24 x^{2} + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.24 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 12 x^{4} + 8 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 12 x^{4} + 8 x^{2} + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.25 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 16 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$30$ |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 16 x^{2} + 10$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.26 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$30$ |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 26$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.27 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{4} + 10$ |
$2$ |
$8$ |
$1$ |
$30$ |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{4} + 10$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.30.28 |
$8$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 20 x^{4} + 18$ |
$2$ |
$8$ |
$1$ |
$30$ |
$((C_8 : C_2):C_2):C_2$ (as 8T27) |
$1$ |
$1$ |
$[3, 4, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 24 x^{6} + 20 x^{4} + 18$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |