Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
2.8.31.1 |
$8$ |
$x^{8} + 8 x^{6} + 16 x^{5} + 4 x^{4} + 50$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8$ (as 8T1) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 16 x^{5} + 4 x^{4} + 50$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.10 |
$8$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 16 x^{2} + 34$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 16 x^{2} + 34$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.100 |
$8$ |
$x^{8} + 24 x^{6} + 16 x^{3} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 24 x^{6} + 16 x^{3} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.101 |
$8$ |
$x^{8} + 16 x^{6} + 4 x^{4} + 16 x^{3} + 58$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{6} + 4 x^{4} + 16 x^{3} + 58$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.102 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.103 |
$8$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 42$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 42$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.104 |
$8$ |
$x^{8} + 20 x^{4} + 16 x^{3} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 20 x^{4} + 16 x^{3} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.105 |
$8$ |
$x^{8} + 16 x^{5} + 4 x^{4} + 16 x^{3} + 16 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{5} + 4 x^{4} + 16 x^{3} + 16 x^{2} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.106 |
$8$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 4 x^{4} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 4 x^{4} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.107 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.108 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 58$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 58$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.109 |
$8$ |
$x^{8} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.11 |
$8$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 16 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 16 x^{2} + 18$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.110 |
$8$ |
$x^{8} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.111 |
$8$ |
$x^{8} + 42$ |
$2$ |
$8$ |
$1$ |
$31$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 42$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.112 |
$8$ |
$x^{8} + 58$ |
$2$ |
$8$ |
$1$ |
$31$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 58$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.113 |
$8$ |
$x^{8} + 4 x^{4} + 42$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(C_8:C_2):C_2$ (as 8T16) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 42$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.114 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 58$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(C_8:C_2):C_2$ (as 8T16) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 58$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.115 |
$8$ |
$x^{8} + 4 x^{4} + 58$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(C_8:C_2):C_2$ (as 8T16) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 58$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.116 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(C_8:C_2):C_2$ (as 8T16) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.117 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 42$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(C_8:C_2):C_2$ (as 8T16) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 42$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.118 |
$8$ |
$x^{8} + 4 x^{4} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(C_8:C_2):C_2$ (as 8T16) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.119 |
$8$ |
$x^{8} + 4 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(C_8:C_2):C_2$ (as 8T16) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.12 |
$8$ |
$x^{8} + 20 x^{4} + 16 x^{3} + 16 x^{2} + 34$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 20 x^{4} + 16 x^{3} + 16 x^{2} + 34$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.120 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(C_8:C_2):C_2$ (as 8T16) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.121 |
$8$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.122 |
$8$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 58$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 58$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.123 |
$8$ |
$x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 58$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 58$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.124 |
$8$ |
$x^{8} + 8 x^{6} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.125 |
$8$ |
$x^{8} + 16 x^{3} + 58$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{3} + 58$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.126 |
$8$ |
$x^{8} + 16 x^{5} + 16 x^{3} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{5} + 16 x^{3} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.127 |
$8$ |
$x^{8} + 16 x^{5} + 24 x^{4} + 16 x^{3} + 42$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{5} + 24 x^{4} + 16 x^{3} + 42$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.128 |
$8$ |
$x^{8} + 8 x^{6} + 58$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 58$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.129 |
$8$ |
$x^{8} + 16 x^{5} + 24 x^{4} + 16 x^{3} + 58$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{5} + 24 x^{4} + 16 x^{3} + 58$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.13 |
$8$ |
$x^{8} + 18$ |
$2$ |
$8$ |
$1$ |
$31$ |
$D_{8}$ (as 8T6) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 18$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.130 |
$8$ |
$x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 42$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 42$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.131 |
$8$ |
$x^{8} + 8 x^{6} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.132 |
$8$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 42$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 42$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.133 |
$8$ |
$x^{8} + 8 x^{6} + 42$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 42$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.134 |
$8$ |
$x^{8} + 24 x^{6} + 16 x^{5} + 42$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 24 x^{6} + 16 x^{5} + 42$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.135 |
$8$ |
$x^{8} + 8 x^{6} + 16 x^{5} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 16 x^{5} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.136 |
$8$ |
$x^{8} + 16 x^{3} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{3} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.137 |
$8$ |
$x^{8} + 28 x^{4} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 17/4, 5]$ |
$t + 1$ |
$x^{8} + 28 x^{4} + 8 x^{2} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.138 |
$8$ |
$x^{8} + 16 x^{7} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 42$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 17/4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{7} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 42$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.139 |
$8$ |
$x^{8} + 28 x^{4} + 8 x^{2} + 58$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 17/4, 5]$ |
$t + 1$ |
$x^{8} + 28 x^{4} + 8 x^{2} + 58$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.14 |
$8$ |
$x^{8} + 2$ |
$2$ |
$8$ |
$1$ |
$31$ |
$D_{8}$ (as 8T6) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.140 |
$8$ |
$x^{8} + 4 x^{4} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 17/4, 5]$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 8 x^{2} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.141 |
$8$ |
$x^{8} + 16 x^{7} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 17/4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{7} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.142 |
$8$ |
$x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 17/4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
2.8.31.143 |
$8$ |
$x^{8} + 16 x^{5} + 20 x^{4} + 24 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 7/2, 4, 17/4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{5} + 20 x^{4} + 24 x^{2} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |