| 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 |
| 2.4.4.36a3.46 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(4 x + 2\right) ( x^{4} + x + 1 )^{3} + \left(2 x^{2} + 10 x\right) ( x^{4} + x + 1 )^{2} + 8 x^{2} ( x^{4} + x + 1 ) + 2$ |
$2$ |
$4$ |
$4$ |
$36$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2,3,\frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + \left(4 t^{2} + 4\right) x^{3} + \left(2 t^{2} + 2 t\right) x^{2} + 8 x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^2 + t),(t^2 + t) z + (t^2 + t)$ |
$[1, 3, 7]$ |
| 2.4.4.36a3.64 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(4 x^{2} + 4 x + 2\right) ( x^{4} + x + 1 )^{3} + \left(2 x^{2} + 10 x\right) ( x^{4} + x + 1 )^{2} + 8 x ( x^{4} + x + 1 ) + 2$ |
$2$ |
$4$ |
$4$ |
$36$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2,3,\frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + 4 x^{3} + \left(2 t^{2} + 2 t\right) x^{2} + \left(8 t^{3} + 8 t\right) x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^2 + t),(t^2 + t) z + (t^2 + t)$ |
$[1, 3, 7]$ |
| 2.4.4.36a3.110 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(4 x + 6\right) ( x^{4} + x + 1 )^{3} + \left(2 x^{2} + 10 x\right) ( x^{4} + x + 1 )^{2} + 2$ |
$2$ |
$4$ |
$4$ |
$36$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2,3,\frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + 4 t^{2} x^{3} + \left(2 t^{2} + 2 t\right) x^{2} + \left(8 t^{2} + 8\right) x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^2 + t),(t^2 + t) z + (t^2 + t)$ |
$[1, 3, 7]$ |
| 2.4.4.36a3.128 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(4 x^{2} + 4 x + 6\right) ( x^{4} + x + 1 )^{3} + \left(2 x^{2} + 10 x\right) ( x^{4} + x + 1 )^{2} + 2$ |
$2$ |
$4$ |
$4$ |
$36$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2,3,\frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + \left(2 t^{2} + 2 t\right) x^{2} + 8 t^{3} x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^2 + t),(t^2 + t) z + (t^2 + t)$ |
$[1, 3, 7]$ |
| 2.4.4.44a1.1941 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{4} + x + 1 )^{3} + \left(4 x^{2} + 4 x + 4\right) ( x^{4} + x + 1 )^{2} + 2$ |
$2$ |
$4$ |
$4$ |
$44$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + \left(8 t + 8\right) x^{3} + \left(4 t^{2} + 4 t\right) x^{2} + 16 t^{3} + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.4.4.44a1.1943 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(8 x + 12\right) ( x^{4} + x + 1 )^{3} + \left(4 x^{2} + 4 x + 4\right) ( x^{4} + x + 1 )^{2} + 2$ |
$2$ |
$4$ |
$4$ |
$44$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + 8 t x^{3} + \left(4 t^{2} + 4 t\right) x^{2} + 16 t^{3} + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.4.4.44a1.2000 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(8 x^{3} + 8 x + 4\right) ( x^{4} + x + 1 )^{3} + \left(4 x^{2} + 4 x + 4\right) ( x^{4} + x + 1 )^{2} + 8 ( x^{4} + x + 1 ) + 2$ |
$2$ |
$4$ |
$4$ |
$44$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + 8 t^{3} x^{3} + \left(4 t^{2} + 4 t\right) x^{2} + 8 x + 16 t^{3} + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.4.4.44a1.2002 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(8 x^{3} + 8 x + 12\right) ( x^{4} + x + 1 )^{3} + \left(4 x^{2} + 4 x + 4\right) ( x^{4} + x + 1 )^{2} + 8 ( x^{4} + x + 1 ) + 2$ |
$2$ |
$4$ |
$4$ |
$44$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + \left(8 t^{3} + 8\right) x^{3} + \left(4 t^{2} + 4 t\right) x^{2} + 8 x + 16 t^{3} + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.2.8.36b10.6 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{7} + 2 x ( x^{2} + x + 1 )^{6} + 4 x ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 2 t x^{6} + 4 t x^{5} + 2 x^{4} + \left(4 t + 4\right) x^{3} + 8 t + 6$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + z^2 + t,t z + (t + 1)$ |
$[1, 2, 7, 15]$ |
| 2.2.8.36b10.10 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{7} + 2 x ( x^{2} + x + 1 )^{6} + 4 x ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 2 t x^{6} + 4 t x^{5} + 2 x^{4} + \left(4 t + 4\right) x^{3} + 8 t + 6$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + z^2 + t,t z + (t + 1)$ |
$[1, 2, 7, 15]$ |
| 2.2.8.36b10.27 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{7} + 2 x ( x^{2} + x + 1 )^{6} + 4 x ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 2 t x^{6} + 4 t x^{5} + 2 x^{4} + \left(4 t + 4\right) x^{3} + 8 t + 2$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + z^2 + t,t z + (t + 1)$ |
$[1, 2, 7, 15]$ |
| 2.2.8.36b10.29 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{7} + 2 x ( x^{2} + x + 1 )^{6} + 4 x ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 2 t x^{6} + 4 t x^{5} + 2 x^{4} + \left(4 t + 4\right) x^{3} + 8 t + 2$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + z^2 + t,t z + (t + 1)$ |
$[1, 2, 7, 15]$ |
| 2.2.8.36b18.2 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{7} + 2 x ( x^{2} + x + 1 )^{6} + 2 ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + \left(2 t + 2\right) x^{6} + \left(4 t + 4\right) x^{5} + 2 t x^{4} + 4 t x^{3} + 8 t + 2$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.36b18.5 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{7} + 2 x ( x^{2} + x + 1 )^{6} + 2 ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + \left(2 t + 2\right) x^{6} + \left(4 t + 4\right) x^{5} + 2 t x^{4} + 4 t x^{3} + 8 t + 2$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.36b18.22 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{7} + 2 x ( x^{2} + x + 1 )^{6} + 2 ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + \left(2 t + 2\right) x^{6} + \left(4 t + 4\right) x^{5} + 2 t x^{4} + 4 t x^{3} + 8 t + 6$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.36b18.25 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{7} + 2 x ( x^{2} + x + 1 )^{6} + 2 ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 2, 3]^{4}$ |
$[1,1,1,1,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + \left(2 t + 2\right) x^{6} + \left(4 t + 4\right) x^{5} + 2 t x^{4} + 4 t x^{3} + 8 t + 6$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.40b2.72 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 x ( x^{2} + x + 1 )^{5} + 8 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 2 x^{6} + 4 t x^{5} + 8 x^{4} + 8 t x + 4 t + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + t$ |
$[1, 3, 6, 16]$ |
| 2.2.8.40b2.73 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 x ( x^{2} + x + 1 )^{5} + 8 ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 2 x^{6} + 4 t x^{5} + 8 t x + 4 t + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + t$ |
$[1, 3, 6, 16]$ |
| 2.2.8.40b2.124 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + 4 x ( x^{2} + x + 1 )^{5} + 8 ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 6$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 2 x^{6} + \left(4 t + 4\right) x^{5} + 8 x^{4} + 8 t x^{3} + 4 t + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + t$ |
$[1, 3, 6, 16]$ |
| 2.2.8.40b2.125 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + 4 x ( x^{2} + x + 1 )^{5} + 8 ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 6$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 2 x^{6} + \left(4 t + 4\right) x^{5} + 8 t x^{3} + 4 t + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + t$ |
$[1, 3, 6, 16]$ |
| 2.2.8.44d13.46 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 x ( x^{2} + x + 1 )^{7} + 6 ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 12 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 10 t x^{4} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 6$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d13.47 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 x ( x^{2} + x + 1 )^{7} + 6 ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 10 x ( x^{2} + x + 1 )^{4} + 12 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 6$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d13.76 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 12 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 4 t x^{6} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + \left(8 t + 8\right) x + 8 t + 6$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d13.77 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 10 x ( x^{2} + x + 1 )^{4} + 12 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 4 t x^{6} + 10 t x^{4} + \left(4 t + 4\right) x^{2} + \left(8 t + 8\right) x + 8 t + 6$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d13.102 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 x ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 4 x^{6} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + 8 x + 8 t + 2$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d13.103 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 x ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 10 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 4 x^{6} + 10 t x^{4} + \left(4 t + 4\right) x^{2} + 8 x + 8 t + 2$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d13.121 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 12 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 x ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + \left(4 t + 4\right) x^{6} + 2 t x^{4} + 8 x^{3} + \left(4 t + 4\right) x^{2} + 8 t + 2$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d13.122 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 10 x ( x^{2} + x + 1 )^{4} + 12 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 x ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,1,2,2,\frac{5}{2}]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + \left(4 t + 4\right) x^{6} + 10 t x^{4} + 8 x^{3} + \left(4 t + 4\right) x^{2} + 8 t + 2$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c1.268 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{6} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 4 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.48c1.269 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 4 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.48c1.271 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + \left(4 t + 4\right) x^{6} + 8 t x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 20 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.48c1.272 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 20 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^5:C_4$ (as 16T227) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + \left(4 t + 4\right) x^{6} + 8 t x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 4 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.16.64l1.45 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.46 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.59 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.60 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.79 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.80 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.93 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.94 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.141 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.142 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.155 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.156 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.175 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.176 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.189 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.190 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.429 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 10$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 10$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.430 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 10$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5:C_4$ (as 16T227) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{17}{4}]^{2}$ |
$[1,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 10$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
