| 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 |
| 2.2.8.36b2.11 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 2$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 3, 3]^{2}$ |
$[1,1,2,2]^{2}$ |
$[3]$ |
$[2]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 2 x^{6} + 4 t x^{3} + 10$ |
$[11, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + t$ |
$[1, 3, 11, 19]$ |
| 2.2.8.36b2.12 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 10$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 3, 3]^{2}$ |
$[1,1,2,2]^{2}$ |
$[3]$ |
$[2]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 2 x^{6} + 4 t x^{3} + 2$ |
$[11, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + t$ |
$[1, 3, 11, 19]$ |
| 2.2.8.36b2.38 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 6$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 3, 3]^{2}$ |
$[1,1,2,2]^{2}$ |
$[3]$ |
$[2]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 4 t x^{3} + 6$ |
$[11, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + t$ |
$[1, 3, 11, 19]$ |
| 2.2.8.36b2.39 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 14$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 3, 3]^{2}$ |
$[1,1,2,2]^{2}$ |
$[3]$ |
$[2]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 4 t x^{3} + 14$ |
$[11, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + t$ |
$[1, 3, 11, 19]$ |
| 2.2.8.40b1.2 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 8 x ( x^{2} + x + 1 )^{4} + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2}]^{2}$ |
$[3]$ |
$[2]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 t x^{4} + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 11, 19]$ |
| 2.2.8.40b1.73 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 8 x ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 ) + 6$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2}]^{2}$ |
$[3]$ |
$[2]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 t x^{4} + 8 x + 6$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 11, 19]$ |
| 2.2.8.40d1.14 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[1,2,2]$ |
$[2, 2, 3, 3]^{2}$ |
$[1,1,2,2]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 4 t x^{6} + 4 x^{5} + 2 x^{4} + 2$ |
$[13, 12, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 5, 15, 23]$ |
| 2.2.8.40d1.15 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[1,2,2]$ |
$[2, 2, 3, 3]^{2}$ |
$[1,1,2,2]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 4 t x^{6} + 4 x^{5} + 2 x^{4} + 8 t + 2$ |
$[13, 12, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 5, 15, 23]$ |
| 2.2.8.40d1.16 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 10$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[1,2,2]$ |
$[2, 2, 3, 3]^{2}$ |
$[1,1,2,2]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 4 t x^{6} + 4 x^{5} + 2 x^{4} + 10$ |
$[13, 12, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 5, 15, 23]$ |
| 2.2.8.40d1.24 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 x ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[1,2,2]$ |
$[2, 2, 3, 3]^{2}$ |
$[1,1,2,2]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 4 t x^{6} + 4 x^{5} + 2 x^{4} + 8 t + 10$ |
$[13, 12, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 5, 15, 23]$ |
| 2.2.8.44d1.2 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + \left(8 x + 2\right) ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2}]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + \left(8 t + 2\right) x^{4} + 4 x^{2} + 2$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 15, 23]$ |
| 2.2.8.44d1.13 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + \left(8 x + 2\right) ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{2} + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2}]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 2 x^{4} + 4 x^{2} + 8 x + 8 t + 2$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 15, 23]$ |
| 2.2.8.52c1.247 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + \left(8 t + 4\right) x^{4} + 8 x^{3} + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.249 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 x^{6} + \left(8 t + 4\right) x^{4} + 8 x^{3} + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.273 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 x ( x^{2} + x + 1 )^{5} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + 4 x^{6} + \left(8 t + 8\right) x^{5} + \left(8 t + 4\right) x^{4} + 8 x^{3} + 8 t x^{2} + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c1.275 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 x ( x^{2} + x + 1 )^{5} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 x^{6} + \left(8 t + 8\right) x^{5} + \left(8 t + 4\right) x^{4} + 8 x^{3} + 8 t x^{2} + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.16.48o1.2 |
$16$ |
$x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 3, 3, \frac{7}{2}]^{2}$ |
$[1,2,2,\frac{5}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x + 2$ |
$[33, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 17, 33, 49]$ |
| 2.1.16.48o1.3 |
$16$ |
$x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 3, 3, \frac{7}{2}]^{2}$ |
$[1,2,2,\frac{5}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x + 2$ |
$[33, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 17, 33, 49]$ |
| 2.1.16.48o1.8 |
$16$ |
$x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x + 10$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 3, 3, \frac{7}{2}]^{2}$ |
$[1,2,2,\frac{5}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x + 10$ |
$[33, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 10, 32, 48]$ |
| 2.1.16.48o1.9 |
$16$ |
$x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x + 10$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 3, 3, \frac{7}{2}]^{2}$ |
$[1,2,2,\frac{5}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x + 10$ |
$[33, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 10, 32, 48]$ |
| 2.1.16.48o1.57 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 3, 3, \frac{7}{2}]^{2}$ |
$[1,2,2,\frac{5}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 6$ |
$[33, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o1.58 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{3} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 3, 3, \frac{7}{2}]^{2}$ |
$[1,2,2,\frac{5}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{3} + 8 x + 6$ |
$[33, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o1.63 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 14$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 3, 3, \frac{7}{2}]^{2}$ |
$[1,2,2,\frac{5}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 14$ |
$[33, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o1.64 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{3} + 8 x + 14$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 3, 3, \frac{7}{2}]^{2}$ |
$[1,2,2,\frac{5}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{3} + 8 x + 14$ |
$[33, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.52k1.5 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 3, 3, 4]^{2}$ |
$[1,2,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 2$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 25, 41, 57]$ |
| 2.1.16.52k1.6 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 18$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 3, 3, 4]^{2}$ |
$[1,2,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 18$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 25, 41, 57]$ |
| 2.1.16.52k1.26 |
$16$ |
$x^{16} + 8 x^{13} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 10$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 3, 3, 4]^{2}$ |
$[1,2,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 10$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 10, 32, 48]$ |
| 2.1.16.52k1.27 |
$16$ |
$x^{16} + 8 x^{13} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 26$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 3, 3, 4]^{2}$ |
$[1,2,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 26$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 10, 32, 48]$ |
| 2.1.16.52k1.137 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 3, 3, 4]^{2}$ |
$[1,2,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 25, 41, 57]$ |
| 2.1.16.52k1.138 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 18$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 3, 3, 4]^{2}$ |
$[1,2,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 18$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 25, 41, 57]$ |
| 2.1.16.52k1.158 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 10$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 3, 3, 4]^{2}$ |
$[1,2,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 10$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 10, 32, 48]$ |
| 2.1.16.52k1.159 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 26$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 3, 3, 4]^{2}$ |
$[1,2,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 26$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 10, 32, 48]$ |
| 2.1.16.54o1.101 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 2$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 29, 45, 61]$ |
| 2.1.16.54o1.108 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{9} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{9} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 2$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 29, 45, 61]$ |
| 2.1.16.54o1.139 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 29, 45, 61]$ |
| 2.1.16.54o1.141 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 31, 47, 63]$ |
| 2.1.16.54o1.150 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 29, 45, 61]$ |
| 2.1.16.54o1.153 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 31, 47, 63]$ |
| 2.1.16.54o1.162 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 10$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 10$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 14, 32, 48]$ |
| 2.1.16.54o1.168 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 8 x^{9} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 10$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 8 x^{9} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 10$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 14, 32, 48]$ |
| 2.1.16.54o1.200 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 14, 32, 48]$ |
| 2.1.16.54o1.203 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 14, 32, 48]$ |
| 2.1.16.54o1.209 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 14, 32, 48]$ |
| 2.1.16.54o1.211 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 14, 32, 48]$ |
| 2.1.16.54o1.238 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 6$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.54o1.246 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{9} + 10 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{9} + 10 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 6$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.54o1.296 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 14$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 14$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.54o1.308 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 8 x^{9} + 10 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 14$ |
$2$ |
$1$ |
$16$ |
$54$ |
$C_2^2.D_4$ (as 16T54) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1,2,\frac{5}{2},3]$ |
$[2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 8 x^{9} + 10 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 14$ |
$[39, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
