| 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 |
| 2.4.4.44a1.369 |
$16$ |
$( x^{4} + x + 1 )^{4} + 8 x^{3} ( x^{4} + x + 1 )^{3} + 4 x^{2} ( x^{4} + x + 1 )^{2} + 8 x ( x^{4} + x + 1 ) + 2$ |
$2$ |
$4$ |
$4$ |
$44$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2,2,3]$ |
$[1,1,2]$ |
$2$ |
$t^{4} + t + 1$ |
$x^{4} + \left(8 t^{3} + 8 t^{2} + 8 t\right) x^{3} + 4 t x^{2} + \left(8 t^{2} + 8\right) x + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.4.4.44a1.370 |
$16$ |
$( x^{4} + x + 1 )^{4} + 8 x^{3} ( x^{4} + x + 1 )^{3} + 4 x^{2} ( x^{4} + x + 1 )^{2} + 8 x ( x^{4} + x + 1 ) + 16 x^{3} + 2$ |
$2$ |
$4$ |
$4$ |
$44$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2,2,3]$ |
$[1,1,2]$ |
$2$ |
$t^{4} + t + 1$ |
$x^{4} + \left(8 t^{3} + 8 t^{2} + 8 t\right) x^{3} + 4 t x^{2} + \left(8 t^{2} + 8\right) x + 16 t^{3} + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.4.4.44a1.373 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(8 x^{3} + 8 x^{2}\right) ( x^{4} + x + 1 )^{3} + 4 x^{2} ( x^{4} + x + 1 )^{2} + 8 x ( x^{4} + x + 1 ) + 2$ |
$2$ |
$4$ |
$4$ |
$44$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2,2,3]$ |
$[1,1,2]$ |
$2$ |
$t^{4} + t + 1$ |
$x^{4} + \left(8 t^{3} + 8 t^{2}\right) x^{3} + 4 t x^{2} + \left(8 t^{2} + 8\right) x + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.4.4.44a1.374 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(8 x^{3} + 8 x^{2}\right) ( x^{4} + x + 1 )^{3} + 4 x^{2} ( x^{4} + x + 1 )^{2} + 8 x ( x^{4} + x + 1 ) + 16 x^{3} + 2$ |
$2$ |
$4$ |
$4$ |
$44$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2,2,3]$ |
$[1,1,2]$ |
$2$ |
$t^{4} + t + 1$ |
$x^{4} + \left(8 t^{3} + 8 t^{2}\right) x^{3} + 4 t x^{2} + \left(8 t^{2} + 8\right) x + 16 t^{3} + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.4.4.44a1.377 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(8 x^{3} + 8 x\right) ( x^{4} + x + 1 )^{3} + 4 x^{2} ( x^{4} + x + 1 )^{2} + 8 x ( x^{4} + x + 1 ) + 2$ |
$2$ |
$4$ |
$4$ |
$44$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2,2,3]$ |
$[1,1,2]$ |
$2$ |
$t^{4} + t + 1$ |
$x^{4} + \left(8 t^{3} + 8 t\right) x^{3} + 4 t x^{2} + \left(8 t^{2} + 8\right) x + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.4.4.44a1.378 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(8 x^{3} + 8 x\right) ( x^{4} + x + 1 )^{3} + 4 x^{2} ( x^{4} + x + 1 )^{2} + 8 x ( x^{4} + x + 1 ) + 16 x^{3} + 2$ |
$2$ |
$4$ |
$4$ |
$44$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2,2,3]$ |
$[1,1,2]$ |
$2$ |
$t^{4} + t + 1$ |
$x^{4} + \left(8 t^{3} + 8 t\right) x^{3} + 4 t x^{2} + \left(8 t^{2} + 8\right) x + 16 t^{3} + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.4.4.44a1.381 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(8 x^{3} + 8 x^{2} + 8 x\right) ( x^{4} + x + 1 )^{3} + 4 x^{2} ( x^{4} + x + 1 )^{2} + 8 x ( x^{4} + x + 1 ) + 2$ |
$2$ |
$4$ |
$4$ |
$44$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2,2,3]$ |
$[1,1,2]$ |
$2$ |
$t^{4} + t + 1$ |
$x^{4} + 8 t^{3} x^{3} + 4 t x^{2} + \left(8 t^{2} + 8\right) x + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.4.4.44a1.382 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(8 x^{3} + 8 x^{2} + 8 x\right) ( x^{4} + x + 1 )^{3} + 4 x^{2} ( x^{4} + x + 1 )^{2} + 8 x ( x^{4} + x + 1 ) + 16 x^{3} + 2$ |
$2$ |
$4$ |
$4$ |
$44$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2,2,3]$ |
$[1,1,2]$ |
$2$ |
$t^{4} + t + 1$ |
$x^{4} + 8 t^{3} x^{3} + 4 t x^{2} + \left(8 t^{2} + 8\right) x + 16 t^{3} + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.2.8.48c3.441 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 2 ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 3, 3, 4, 4]^{4}$ |
$[1,2,2,3,3]^{4}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + 8 t x^{5} + 2 x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 x + 4 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.48c3.442 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 2 ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 3, 3, 4, 4]^{4}$ |
$[1,2,2,3,3]^{4}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{6} + 8 t x^{5} + 2 x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 x + 4 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.48c3.443 |
$16$ |
$( x^{2} + x + 1 )^{8} + 12 ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 2 ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 3, 3, 4, 4]^{4}$ |
$[1,2,2,3,3]^{4}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + \left(4 t + 4\right) x^{6} + 8 t x^{5} + 2 x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 x + 4 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.48c3.444 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 2 ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 3, 3, 4, 4]^{4}$ |
$[1,2,2,3,3]^{4}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + 8 t x^{5} + 2 x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 x + 4 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.48c3.453 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 3, 3, 4, 4]^{4}$ |
$[1,2,2,3,3]^{4}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + 2 x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 x + 4 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.48c3.454 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 3, 3, 4, 4]^{4}$ |
$[1,2,2,3,3]^{4}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + 2 x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 x + 4 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.48c3.455 |
$16$ |
$( x^{2} + x + 1 )^{8} + 12 ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 3, 3, 4, 4]^{4}$ |
$[1,2,2,3,3]^{4}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + 2 x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 x + 4 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.48c3.456 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 4\right) ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 3, 3, 4, 4]^{4}$ |
$[1,2,2,3,3]^{4}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + 2 x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 x + 4 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.56a1.185 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + \left(16 x + 24\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 16 t x^{4} + 16 t x^{3} + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.186 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 16 x ( x^{2} + x + 1 )^{4} + \left(16 x + 24\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 16 t x^{3} + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.187 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 16 x ( x^{2} + x + 1 )^{3} + \left(16 x + 24\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 16 t x^{4} + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.188 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 16 x ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + \left(16 x + 24\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.333 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 x ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + 8 x^{5} + 8 t x^{4} + 8 t x^{2} + 16 t x + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.334 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 24 x ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + 8 x^{5} + 24 t x^{4} + 8 t x^{2} + 16 t x + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.335 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 x ( x^{2} + x + 1 )^{4} + \left(16 x + 8\right) ( x^{2} + x + 1 )^{3} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + 8 x^{5} + 8 t x^{4} + 16 t x^{3} + 8 t x^{2} + 16 t x + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.336 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 24 x ( x^{2} + x + 1 )^{4} + \left(16 x + 8\right) ( x^{2} + x + 1 )^{3} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + 8 x^{5} + 24 t x^{4} + 16 t x^{3} + 8 t x^{2} + 16 t x + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.881 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 4 ( x^{2} + x + 1 )^{4} + \left(16 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 16 x + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.882 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + \left(16 x + 4\right) ( x^{2} + x + 1 )^{4} + \left(16 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + \left(16 t + 4\right) x^{4} + 16 x + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.883 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 4 ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + \left(16 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 16 t x^{3} + 16 x + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.884 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + \left(16 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + \left(16 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + \left(16 t + 4\right) x^{4} + 16 t x^{3} + 16 x + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.933 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 4 ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 16 t x^{3} + 8 t x^{2} + 16 t x + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.934 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + \left(16 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + 8 x^{5} + \left(16 t + 4\right) x^{4} + 16 t x^{3} + 8 t x^{2} + 16 t x + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.935 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 4 ( x^{2} + x + 1 )^{4} + \left(16 x + 8\right) ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 8 t x^{2} + 16 t x + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.56a1.936 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + \left(16 x + 4\right) ( x^{2} + x + 1 )^{4} + \left(16 x + 8\right) ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$56$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},\frac{7}{2}]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + 8 x^{5} + \left(16 t + 4\right) x^{4} + 8 t x^{2} + 16 t x + 8 t + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.16.70e1.3217 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 8 x^{4} + 2$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3218 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 40 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 40 x^{4} + 2$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3224 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 8 x^{4} + 2$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3225 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 40 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 40 x^{4} + 2$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3226 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 8 x^{4} + 32 x + 2$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 8 x^{4} + 32 x + 2$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3227 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 40 x^{4} + 32 x + 2$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 40 x^{4} + 32 x + 2$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3299 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 8 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 8 x^{4} + 18$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3300 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 40 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 40 x^{4} + 18$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3306 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 8 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 8 x^{4} + 18$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3307 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 40 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 40 x^{4} + 18$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3308 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 8 x^{4} + 32 x + 18$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 8 x^{4} + 32 x + 18$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3309 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 40 x^{4} + 32 x + 18$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 40 x^{4} + 32 x + 18$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3401 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 24 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 24 x^{4} + 2$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3402 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 56 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 56 x^{4} + 2$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3426 |
$16$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 24 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 24 x^{4} + 2$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3427 |
$16$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 56 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 56 x^{4} + 2$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3479 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 24 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 24 x^{4} + 18$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.70e1.3480 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 56 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$70$ |
$C_4^2.(C_2\times C_4)$ (as 16T362) |
$1$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{21}{4}]$ |
$[2,3,\frac{13}{4},\frac{17}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}, \frac{21}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},\frac{17}{4}]$ |
$[2,\frac{7}{2},\frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 4 x^{8} + 16 x^{7} + 56 x^{4} + 18$ |
$[55, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
