| 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 |
| 2.4.4.32b10.2 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(4 x^{3} + 2\right) ( x^{4} + x + 1 )^{3} + 2 x ( x^{4} + x + 1 )^{2} + \left(4 x^{2} + 4\right) ( x^{4} + x + 1 ) + 2$ |
$2$ |
$4$ |
$4$ |
$32$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2,2]$ |
$[1,1,1]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + \left(4 t^{3} + 4\right) x^{3} + 2 t x^{2} + \left(4 t^{2} + 4\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + t,t z + (t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.4.4.32b10.5 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(4 x^{3} + 4 x^{2} + 2\right) ( x^{4} + x + 1 )^{3} + 2 x ( x^{4} + x + 1 )^{2} + \left(4 x^{2} + 4\right) ( x^{4} + x + 1 ) + 2$ |
$2$ |
$4$ |
$4$ |
$32$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2,2]$ |
$[1,1,1]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + \left(4 t^{3} + 4 t^{2} + 4\right) x^{3} + 2 t x^{2} + \left(4 t^{2} + 4\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + t,t z + (t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.4.4.32b10.38 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(4 x^{3} + 6\right) ( x^{4} + x + 1 )^{3} + 2 x ( x^{4} + x + 1 )^{2} + \left(4 x^{2} + 4\right) ( x^{4} + x + 1 ) + 6$ |
$2$ |
$4$ |
$4$ |
$32$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2,2]$ |
$[1,1,1]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + 4 t^{3} x^{3} + 2 t x^{2} + \left(4 t^{2} + 4\right) x + 6$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + t,t z + (t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.4.4.32b10.41 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(4 x^{3} + 4 x^{2} + 6\right) ( x^{4} + x + 1 )^{3} + 2 x ( x^{4} + x + 1 )^{2} + \left(4 x^{2} + 4\right) ( x^{4} + x + 1 ) + 6$ |
$2$ |
$4$ |
$4$ |
$32$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2,2]$ |
$[1,1,1]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + \left(4 t^{3} + 4 t^{2}\right) x^{3} + 2 t x^{2} + \left(4 t^{2} + 4\right) x + 6$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + t,t z + (t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.4.4.32b39.5 |
$16$ |
$( x^{4} + x + 1 )^{4} + 6 x^{2} ( x^{4} + x + 1 )^{3} + 2 x^{3} ( x^{4} + x + 1 )^{2} + \left(4 x^{3} + 4 x\right) ( x^{4} + x + 1 ) + 8 x^{3} + 2$ |
$2$ |
$4$ |
$4$ |
$32$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2,2]$ |
$[1,1,1]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + 2 t^{3} x^{2} + \left(4 t^{3} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + t^3,t^3 z + (t^3 + t)$ |
$[1, 3, 7]$ |
| 2.4.4.32b39.24 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(4 x^{3} + 6 x^{2} + 4 x + 4\right) ( x^{4} + x + 1 )^{3} + 2 x^{3} ( x^{4} + x + 1 )^{2} + \left(4 x^{3} + 4 x\right) ( x^{4} + x + 1 ) + 8 x^{3} + 2$ |
$2$ |
$4$ |
$4$ |
$32$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2,2]$ |
$[1,1,1]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + \left(4 t^{3} + 4 t + 4\right) x^{3} + 2 t^{3} x^{2} + \left(4 t^{3} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + t^3,t^3 z + (t^3 + t)$ |
$[1, 3, 7]$ |
| 2.4.4.32b39.36 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(4 x^{3} + 6 x^{2} + 4 x\right) ( x^{4} + x + 1 )^{3} + 2 x^{3} ( x^{4} + x + 1 )^{2} + \left(4 x^{3} + 4 x\right) ( x^{4} + x + 1 ) + 8 x^{3} + 6$ |
$2$ |
$4$ |
$4$ |
$32$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2,2]$ |
$[1,1,1]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + \left(4 t^{3} + 4 t\right) x^{3} + 2 t^{3} x^{2} + \left(4 t^{3} + 4 t\right) x + 6$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + t^3,t^3 z + (t^3 + t)$ |
$[1, 3, 7]$ |
| 2.4.4.32b39.41 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(6 x^{2} + 4\right) ( x^{4} + x + 1 )^{3} + 2 x^{3} ( x^{4} + x + 1 )^{2} + \left(4 x^{3} + 4 x\right) ( x^{4} + x + 1 ) + 8 x^{3} + 6$ |
$2$ |
$4$ |
$4$ |
$32$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2,2]$ |
$[1,1,1]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + 4 x^{3} + 2 t^{3} x^{2} + \left(4 t^{3} + 4 t\right) x + 6$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + t^3,t^3 z + (t^3 + t)$ |
$[1, 3, 7]$ |
| 2.2.8.40b1.48 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 8 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[3,3]^{2}$ |
$[2,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 t x^{4} + \left(8 t + 8\right) x + 4 t + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 6, 16]$ |
| 2.2.8.40b1.49 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 8 x ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[3,3]^{2}$ |
$[2,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + \left(8 t + 8\right) x + 4 t + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 6, 16]$ |
| 2.2.8.40b1.51 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[3,3]^{2}$ |
$[2,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 t x^{4} + 8 x^{3} + \left(8 t + 8\right) x + 4 t + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 6, 16]$ |
| 2.2.8.40b1.52 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 8 x ( x^{2} + x + 1 )^{4} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[3,3]^{2}$ |
$[2,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{3} + \left(8 t + 8\right) x + 4 t + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 6, 16]$ |
| 2.2.8.40b1.62 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 8 x ( x^{2} + x + 1 )^{3} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[3,3]^{2}$ |
$[2,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 8 t x + 4 t + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 6, 16]$ |
| 2.2.8.40b1.63 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 8 x ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{3} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[3,3]^{2}$ |
$[2,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 2 x^{6} + 4 x^{5} + 8 t x^{4} + 8 x^{3} + 8 t x + 4 t + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 6, 16]$ |
| 2.2.8.40b1.65 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{3} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[3,3]^{2}$ |
$[2,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 2 x^{6} + 4 x^{5} + 8 t x^{4} + 8 t x + 4 t + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 6, 16]$ |
| 2.2.8.40b1.66 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 8 x ( x^{2} + x + 1 )^{4} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{3} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[3,3]^{2}$ |
$[2,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 2 x^{6} + 4 x^{5} + 8 t x + 4 t + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 6, 16]$ |
| 2.2.8.44d12.103 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 x ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 4 t x^{6} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 6$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d12.105 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 12 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 x ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 4 t x^{6} + 2 t x^{4} + 8 x^{3} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 6$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d12.142 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + \left(8 t + 8\right) x + 8 t + 2$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d12.144 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 2 t x^{4} + 8 x^{3} + \left(4 t + 4\right) x^{2} + \left(8 t + 8\right) x + 8 t + 2$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d14.23 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 12 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 4 x^{6} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + 8 t + 6$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d14.24 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 12 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 4 x^{6} + \left(2 t + 8\right) x^{4} + \left(4 t + 4\right) x^{2} + 8 t + 6$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d14.149 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 x ( x^{2} + x + 1 )^{7} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 4 t x^{6} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + \left(8 t + 8\right) x + 8 t + 2$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d14.150 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 x ( x^{2} + x + 1 )^{7} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 4 t x^{6} + \left(2 t + 8\right) x^{4} + \left(4 t + 4\right) x^{2} + \left(8 t + 8\right) x + 8 t + 2$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.173 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + \left(4 t + 4\right) x^{6} + 8 x^{5} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 6$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.174 |
$16$ |
$( x^{2} + x + 1 )^{8} + 12 ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + 8 x^{5} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 6$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.194 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(12 x + 14\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + 2 t x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 6$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.195 |
$16$ |
$( x^{2} + x + 1 )^{8} + 12 ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(12 x + 14\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + 2 t x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 6$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.611 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(4 x + 14\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.614 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + 6 ( x^{2} + x + 1 )^{6} + \left(4 x + 14\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 8 x^{5} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.621 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{5} + 2 t x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.622 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 ( x^{2} + x + 1 )^{7} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^5:C_4$ (as 16T273) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 8 x^{5} + 2 t x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.1.16.64l1.41 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.42 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.50 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.51 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.55 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{6} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{6} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.56 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.64 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.65 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.137 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.138 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.146 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.147 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.151 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.152 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.160 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.161 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.425 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{6} + 16 x + 10$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{6} + 16 x + 10$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.426 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x + 10$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T273) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x + 10$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
