| 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 |
| 2.4.4.40a1.61 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(4 x^{2} + 4 x\right) ( x^{4} + x + 1 )^{2} + 2$ |
$2$ |
$4$ |
$4$ |
$40$ |
$C_2^3.D_4$ (as 16T153) |
$4$ |
$1$ |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
$[2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,2,2,\frac{5}{2}]^{4}$ |
$[2,3]$ |
$[1,2]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + 4 x^{3} + \left(4 t^{2} + 4 t\right) x^{2} + \left(8 t^{2} + 8 t\right) x + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.4.4.40a1.66 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(8 x^{3} + 4 x^{2} + 4 x\right) ( x^{4} + x + 1 )^{2} + 8 x ( x^{4} + x + 1 ) + 2$ |
$2$ |
$4$ |
$4$ |
$40$ |
$C_2^3.D_4$ (as 16T153) |
$4$ |
$1$ |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
$[2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,2,2,\frac{5}{2}]^{4}$ |
$[2,3]$ |
$[1,2]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + 4 x^{3} + \left(8 t^{3} + 4 t^{2} + 4 t\right) x^{2} + 8 t^{2} x + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.4.4.40a1.67 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(4 x^{2} + 4 x\right) ( x^{4} + x + 1 )^{2} + \left(8 x^{2} + 8 x\right) ( x^{4} + x + 1 ) + 2$ |
$2$ |
$4$ |
$4$ |
$40$ |
$C_2^3.D_4$ (as 16T153) |
$4$ |
$1$ |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
$[2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,2,2,\frac{5}{2}]^{4}$ |
$[2,3]$ |
$[1,2]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + 4 x^{3} + \left(4 t^{2} + 4 t\right) x^{2} + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.4.4.40a1.132 |
$16$ |
$( x^{4} + x + 1 )^{4} + \left(8 x^{3} + 4 x^{2} + 4 x + 4\right) ( x^{4} + x + 1 )^{2} + 8 x ( x^{4} + x + 1 ) + 2$ |
$2$ |
$4$ |
$4$ |
$40$ |
$C_2^3.D_4$ (as 16T153) |
$4$ |
$1$ |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
$[2, 3, 3, \frac{7}{2}]^{4}$ |
$[1,2,2,\frac{5}{2}]^{4}$ |
$[2,3]$ |
$[1,2]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + 4 x^{3} + \left(8 t^{3} + 4 t^{2} + 4 t\right) x^{2} + 8 t x + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.2.8.36b2.26 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 x ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^3.D_4$ (as 16T153) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 3, 3]^{4}$ |
$[1,1,2,2]^{4}$ |
$[3]^{2}$ |
$[2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 2 x^{6} + 4 t x^{3} + 4 t + 2$ |
$[11, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + t$ |
$[1, 3, 6, 16]$ |
| 2.2.8.36b2.27 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^3.D_4$ (as 16T153) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 3, 3]^{4}$ |
$[1,1,2,2]^{4}$ |
$[3]^{2}$ |
$[2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 2 x^{6} + 4 t x^{3} + 4 t + 2$ |
$[11, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + t$ |
$[1, 3, 6, 16]$ |
| 2.2.8.36b2.52 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 6$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^3.D_4$ (as 16T153) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 3, 3]^{4}$ |
$[1,1,2,2]^{4}$ |
$[3]^{2}$ |
$[2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 2 x^{6} + \left(4 t + 4\right) x^{3} + 4 t + 2$ |
$[11, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + t$ |
$[1, 3, 6, 16]$ |
| 2.2.8.36b2.56 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 6$ |
$2$ |
$2$ |
$8$ |
$36$ |
$C_2^3.D_4$ (as 16T153) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 3, 3]^{4}$ |
$[1,1,2,2]^{4}$ |
$[3]^{2}$ |
$[2]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{7} + 2 x^{6} + \left(4 t + 4\right) x^{3} + 4 t + 2$ |
$[11, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + t$ |
$[1, 3, 6, 16]$ |
| 2.2.8.44d14.19 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^3.D_4$ (as 16T153) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,\frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 4 x^{6} + \left(2 t + 8\right) x^{4} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 6$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d14.20 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^3.D_4$ (as 16T153) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,\frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 4 x^{6} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 6$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d14.153 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 x ( x^{2} + x + 1 )^{7} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 12 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 x ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^3.D_4$ (as 16T153) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,\frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 4 t x^{6} + \left(2 t + 8\right) x^{4} + \left(4 t + 4\right) x^{2} + 8 x + 8 t + 2$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.44d14.154 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 x ( x^{2} + x + 1 )^{7} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 12 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + 8 x ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$44$ |
$C_2^3.D_4$ (as 16T153) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}]$ |
$[1,2,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{2}$ |
$[2,\frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{7} + 4 t x^{6} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + 8 x + 8 t + 2$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.181 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^3.D_4$ (as 16T153) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,1,2,\frac{5}{2},3]^{2}$ |
$[2,\frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + 2 t x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 t x + 24 t + 6$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.182 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 24 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^3.D_4$ (as 16T153) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,1,2,\frac{5}{2},3]^{2}$ |
$[2,\frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + 2 t x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 6$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.608 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 ( x^{2} + x + 1 )^{7} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^3.D_4$ (as 16T153) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,1,2,\frac{5}{2},3]^{2}$ |
$[2,\frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{5} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + 8 t x + 24 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.609 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 ( x^{2} + x + 1 )^{7} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 24 x + 6$ |
$2$ |
$2$ |
$8$ |
$48$ |
$C_2^3.D_4$ (as 16T153) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, \frac{7}{2}, 4]^{2}$ |
$[1,1,2,\frac{5}{2},3]^{2}$ |
$[2,\frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{5} + 2 t x^{4} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.1.16.64l1.52 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.53 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.66 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.67 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.148 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.149 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.162 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.163 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 18$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.436 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 10$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 10$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.437 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 10$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 10$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.450 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 26$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 26$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.451 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 26$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 26$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.532 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 10$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 10$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.533 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 10$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 10$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.546 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 26$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 26$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64l1.547 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 26$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, \frac{19}{4}]$ |
$[2,\frac{5}{2},3,\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 26$ |
$[49, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.143 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{3} + 2$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.194 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{3} + 18$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.486 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{3} + 2$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.487 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{3} + 34$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{3} + 34$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.537 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{3} + 18$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.538 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{3} + 50$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{3} + 50$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.738 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 8 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 8 x^{4} + 16 x^{3} + 2$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.743 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 8 x^{4} + 16 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 8 x^{4} + 16 x^{3} + 18$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.910 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{3} + 10$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.911 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{3} + 42$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{3} + 42$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.961 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{3} + 26$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.962 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{3} + 58$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{3} + 58$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1251 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{3} + 10$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1302 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{3} + 26$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1460 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{6} + 16 x^{5} + 8 x^{4} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{6} + 16 x^{5} + 8 x^{4} + 16 x^{3} + 10$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1465 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{6} + 16 x^{5} + 8 x^{4} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_4$ (as 16T153) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, 5]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},4]$ |
$[2,\frac{17}{4}]$ |
$[1,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{6} + 16 x^{5} + 8 x^{4} + 16 x^{3} + 26$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
