| Label |
$n$ |
Polynomial |
$p$ |
$f$ |
$e$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible Artin slopes |
Visible Swan slopes |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
$\#\Aut(K/\Q_p)$ |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 2.2.8.36b14.26 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{7} + \left(2 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 2 t x^{6} + 4 x^{5} + 2 t x^{4} + 4 x^{3} + 4 t + 10$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + t z^2 + t,t z + 1$ |
$[1, 3, 6, 16]$ |
| 2.2.8.36b14.27 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{7} + \left(2 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 10$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 2 t x^{6} + 4 x^{5} + 2 t x^{4} + 4 x^{3} + 4 t + 2$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + t z^2 + t,t z + 1$ |
$[1, 3, 6, 16]$ |
| 2.2.8.36b14.29 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{7} + \left(2 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 2 t x^{6} + 4 x^{5} + 2 t x^{4} + 4 x^{3} + 4 t + 10$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + t z^2 + t,t z + 1$ |
$[1, 3, 6, 16]$ |
| 2.2.8.36b14.30 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{7} + \left(2 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 10$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 2 t x^{6} + 4 x^{5} + 2 t x^{4} + 4 x^{3} + 4 t + 2$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + t z^2 + t,t z + 1$ |
$[1, 3, 6, 16]$ |
| 2.2.8.36b15.29 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{7} + \left(2 x + 2\right) ( x^{2} + x + 1 )^{6} + 6 ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 2 t x^{6} + \left(4 t + 4\right) x^{5} + 2 t x^{4} + 4 t x^{3} + 4 t + 2$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + t z^2 + t,t z + t$ |
$[1, 3, 6, 16]$ |
| 2.2.8.36b15.30 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{7} + \left(2 x + 2\right) ( x^{2} + x + 1 )^{6} + 6 ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 10$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 2 t x^{6} + \left(4 t + 4\right) x^{5} + 2 t x^{4} + 4 t x^{3} + 4 t + 10$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + t z^2 + t,t z + t$ |
$[1, 3, 6, 16]$ |
| 2.2.8.36b15.33 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{7} + \left(2 x + 2\right) ( x^{2} + x + 1 )^{6} + 6 ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 2 t x^{6} + \left(4 t + 4\right) x^{5} + 2 t x^{4} + 4 t x^{3} + 4 t + 10$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + t z^2 + t,t z + t$ |
$[1, 3, 6, 16]$ |
| 2.2.8.36b15.34 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{7} + \left(2 x + 2\right) ( x^{2} + x + 1 )^{6} + 6 ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 10$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 2 t x^{6} + \left(4 t + 4\right) x^{5} + 2 t x^{4} + 4 t x^{3} + 4 t + 2$ |
$[11, 6, 4, 0]$ |
$[2, 1]$ |
$z^6 + t z^2 + t,t z + t$ |
$[1, 3, 6, 16]$ |
| 2.2.8.40d1.25 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{2} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 3, 3]$ |
$[1,2,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 2 x^{4} + 4 t + 10$ |
$[13, 12, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.40d1.28 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{2} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 3, 3]$ |
$[1,2,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{5} + 2 x^{4} + 4 t + 10$ |
$[13, 12, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.40d1.29 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{2} + 4 ( x^{2} + x + 1 ) + 4 x + 10$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 3, 3]$ |
$[1,2,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{5} + 2 x^{4} + 4 t + 2$ |
$[13, 12, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.40d1.35 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 x ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{2} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 3, 3]$ |
$[1,2,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 4 t x^{6} + 4 x^{5} + 2 x^{4} + 4 t + 10$ |
$[13, 12, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.40d1.36 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 x ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{2} + 4 ( x^{2} + x + 1 ) + 4 x + 10$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 3, 3]$ |
$[1,2,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 4 t x^{6} + 4 x^{5} + 2 x^{4} + 4 t + 2$ |
$[13, 12, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.40d1.38 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{2} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 3, 3]$ |
$[1,2,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 4 t + 10$ |
$[13, 12, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.40d1.42 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 x ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{2} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 3, 3]$ |
$[1,2,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + \left(4 t + 4\right) x^{6} + 4 x^{5} + 2 x^{4} + 4 t + 10$ |
$[13, 12, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.40d1.46 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{2} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[2, 3, 3]$ |
$[1,2,2]$ |
$[2, 2, 2, 3, 3]^{4}$ |
$[1,1,1,2,2]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + \left(4 t + 4\right) x^{6} + 4 x^{5} + 2 x^{4} + 4 t + 10$ |
$[13, 12, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 16]$ |
| 2.2.8.52c1.289 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 4 ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.290 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 4 ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.291 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 4 ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.292 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 4 ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.297 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{6} + \left(8 t + 4\right) x^{4} + 8 x^{3} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.298 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 x^{6} + \left(8 t + 4\right) x^{4} + 8 x^{3} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.299 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + \left(8 t + 4\right) x^{4} + 8 x^{3} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.300 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + \left(8 t + 4\right) x^{4} + 8 x^{3} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.317 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + 8 x ( x^{2} + x + 1 )^{5} + 4 ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + \left(8 t + 8\right) x^{5} + 4 x^{4} + 8 x^{3} + 8 t x^{2} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.318 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 x ( x^{2} + x + 1 )^{5} + 4 ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + \left(8 t + 8\right) x^{5} + 4 x^{4} + 8 x^{3} + 8 t x^{2} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.319 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 x ( x^{2} + x + 1 )^{5} + 4 ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{6} + \left(8 t + 8\right) x^{5} + 4 x^{4} + 8 x^{3} + 8 t x^{2} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.320 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 x ( x^{2} + x + 1 )^{5} + 4 ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 x^{6} + \left(8 t + 8\right) x^{5} + 4 x^{4} + 8 x^{3} + 8 t x^{2} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.325 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{5} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{6} + \left(8 t + 8\right) x^{5} + \left(8 t + 4\right) x^{4} + 8 x^{3} + 8 t x^{2} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.326 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{5} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 x^{6} + \left(8 t + 8\right) x^{5} + \left(8 t + 4\right) x^{4} + 8 x^{3} + 8 t x^{2} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.327 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{5} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + \left(8 t + 8\right) x^{5} + \left(8 t + 4\right) x^{4} + 8 x^{3} + 8 t x^{2} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.328 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{5} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$4$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{4}$ |
$[1,1,2,\frac{5}{2},3]^{4}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + \left(8 t + 8\right) x^{5} + \left(8 t + 4\right) x^{4} + 8 x^{3} + 8 t x^{2} + 8 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.16.68h1.1611 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 2$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1612 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 2$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1613 |
$16$ |
$x^{16} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 2$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1614 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 2$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1629 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 2$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1630 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 2$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1631 |
$16$ |
$x^{16} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 2$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1632 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 2$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1651 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 18$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1652 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 18$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1653 |
$16$ |
$x^{16} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 18$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1654 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 8 x^{4} + 18$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1669 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 18$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1670 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 18$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1671 |
$16$ |
$x^{16} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 18$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1672 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{5} + 24 x^{4} + 18$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1865 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{12} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 16 x^{5} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{12} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 16 x^{5} + 8 x^{4} + 2$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.68h1.1866 |
$16$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 8 x^{12} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 16 x^{5} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$68$ |
$C_2^3:\OD_{16}$ (as 16T252) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, 5]$ |
$[2,3,\frac{13}{4},4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 8 x^{12} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 16 x^{7} + 16 x^{5} + 8 x^{4} + 2$ |
$[53, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
