| 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 |
| 2.2.4.18a2.3 |
$8$ |
$( x^{2} + x + 1 )^{4} + 2 ( x^{2} + x + 1 )^{3} + 2 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$4$ |
$18$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,3,\frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + \left(2 t + 10\right) x^{2} + 8 t x + 6$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + t,t z + t$ |
$[1, 3, 7]$ |
| 2.2.4.18a2.4 |
$8$ |
$( x^{2} + x + 1 )^{4} + 2 ( x^{2} + x + 1 )^{3} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$4$ |
$18$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,3,\frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + \left(2 t + 2\right) x^{2} + 8 t x + 6$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + t,t z + t$ |
$[1, 3, 7]$ |
| 2.2.4.18a2.11 |
$8$ |
$( x^{2} + x + 1 )^{4} + 6 ( x^{2} + x + 1 )^{3} + 2 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$4$ |
$18$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,3,\frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + \left(2 t + 10\right) x^{2} + 6$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + t,t z + t$ |
$[1, 3, 7]$ |
| 2.2.4.18a2.12 |
$8$ |
$( x^{2} + x + 1 )^{4} + 6 ( x^{2} + x + 1 )^{3} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$4$ |
$18$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,3,\frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{3} + \left(2 t + 8\right) x^{2} + 8 x + 6$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + t,t z + t$ |
$[1, 3, 7]$ |
| 2.2.4.18a2.19 |
$8$ |
$( x^{2} + x + 1 )^{4} + 2 ( x^{2} + x + 1 )^{3} + 2 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 6$ |
$2$ |
$2$ |
$4$ |
$18$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,3,\frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{3} + \left(2 t + 10\right) x^{2} + \left(8 t + 8\right) x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + t,t z + t$ |
$[1, 3, 7]$ |
| 2.2.4.18a2.20 |
$8$ |
$( x^{2} + x + 1 )^{4} + 2 ( x^{2} + x + 1 )^{3} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 6$ |
$2$ |
$2$ |
$4$ |
$18$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,3,\frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{3} + \left(2 t + 2\right) x^{2} + \left(8 t + 8\right) x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + t,t z + t$ |
$[1, 3, 7]$ |
| 2.2.4.18a2.25 |
$8$ |
$( x^{2} + x + 1 )^{4} + 6 ( x^{2} + x + 1 )^{3} + 2 x ( x^{2} + x + 1 )^{2} + 6$ |
$2$ |
$2$ |
$4$ |
$18$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,3,\frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{3} + \left(2 t + 10\right) x^{2} + 8 x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + t,t z + t$ |
$[1, 3, 7]$ |
| 2.2.4.18a2.26 |
$8$ |
$( x^{2} + x + 1 )^{4} + 6 ( x^{2} + x + 1 )^{3} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{2} + 6$ |
$2$ |
$2$ |
$4$ |
$18$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,3,\frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{3} + \left(2 t + 2\right) x^{2} + 8 x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + t,t z + t$ |
$[1, 3, 7]$ |
| 2.2.4.20a2.5 |
$8$ |
$( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 8 x + 2$ |
$2$ |
$2$ |
$4$ |
$20$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{3} + 8 x^{2} + 8 x + 8 t + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + t$ |
$[1, 3, 7]$ |
| 2.2.4.20a2.6 |
$8$ |
$( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 x + 2$ |
$2$ |
$2$ |
$4$ |
$20$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + 8 t + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + t$ |
$[1, 3, 7]$ |
| 2.2.4.20a2.7 |
$8$ |
$( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$4$ |
$20$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + 8 x^{2} + 8 x + 8 t + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + t$ |
$[1, 3, 7]$ |
| 2.2.4.20a2.8 |
$8$ |
$( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$4$ |
$20$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + 8 x + 8 t + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + t$ |
$[1, 3, 7]$ |
| 2.2.4.20a2.17 |
$8$ |
$( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$4$ |
$20$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{3} + 12 x^{2} + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + t$ |
$[1, 3, 7]$ |
| 2.2.4.20a2.18 |
$8$ |
$( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 12 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$4$ |
$20$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + 4 x^{2} + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + t$ |
$[1, 3, 7]$ |
| 2.2.4.20a2.19 |
$8$ |
$( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$4$ |
$20$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + 12 x^{2} + 8 x + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + t$ |
$[1, 3, 7]$ |
| 2.2.4.20a2.20 |
$8$ |
$( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 12 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$4$ |
$20$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + 4 x^{2} + 8 x + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + t$ |
$[1, 3, 7]$ |
| 2.1.8.27a1.81 |
$8$ |
$x^{8} + 2 x^{4} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.82 |
$8$ |
$x^{8} + 2 x^{4} + 16 x^{3} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 16 x^{3} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.83 |
$8$ |
$x^{8} + 2 x^{4} + 16 x + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 16 x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.89 |
$8$ |
$x^{8} + 10 x^{4} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 10 x^{4} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.90 |
$8$ |
$x^{8} + 10 x^{4} + 16 x + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 10 x^{4} + 16 x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.91 |
$8$ |
$x^{8} + 10 x^{4} + 16 x^{3} + 16 x + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 10 x^{4} + 16 x^{3} + 16 x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.101 |
$8$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 8 x^{2} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.102 |
$8$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 16 x^{3} + 8 x^{2} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 16 x^{3} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.107 |
$8$ |
$x^{8} + 8 x^{7} + 10 x^{4} + 8 x^{2} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 10 x^{4} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.108 |
$8$ |
$x^{8} + 8 x^{7} + 10 x^{4} + 16 x^{3} + 8 x^{2} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 10 x^{4} + 16 x^{3} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.118 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 2 x^{4} + 16 x + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 2 x^{4} + 16 x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.126 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 10 x^{4} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 10 x^{4} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.137 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 2 x^{4} + 8 x^{2} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 2 x^{4} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.138 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 2 x^{4} + 16 x^{3} + 8 x^{2} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 2 x^{4} + 16 x^{3} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.143 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{2} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.144 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 10 x^{4} + 16 x^{3} + 8 x^{2} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{7}{2}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 10 x^{4} + 16 x^{3} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.28a1.1 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.2 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 16 x^{4} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 16 x^{4} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.3 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.4 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 16 x^{4} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 16 x^{4} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.7 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.8 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 24 x^{4} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 24 x^{4} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.9 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.10 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 24 x^{4} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 24 x^{4} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.17 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 10$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.18 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 16 x^{4} + 10$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 16 x^{4} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.19 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 10$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.20 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 16 x^{4} + 10$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 16 x^{4} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.23 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 10$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.24 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 24 x^{4} + 10$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 24 x^{4} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.25 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 10$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.26 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 24 x^{4} + 10$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 24 x^{4} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.33 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.34 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 20 x^{4} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$(C_4^2 : C_2):C_2$ (as 8T26) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 20 x^{4} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |