These invariants are all associated to absolute extensions of $\Q_{ 2 }$ within this relative family, not the relative extension.
| Label |
Polynomial $/ \Q_p$ |
Galois group $/ \Q_p$ |
Galois degree $/ \Q_p$ |
$\#\Aut(K/\Q_p)$ |
Artin slope content $/ \Q_p$ |
Swan slope content $/ \Q_p$ |
Hidden Artin slopes $/ \Q_p$ |
Hidden Swan slopes $/ \Q_p$ |
Ind. of Insep. $/ \Q_p$ |
Assoc. Inertia $/ \Q_p$ |
Resid. Poly |
Jump Set |
| 2.2.8.60a2.7777 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7778 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7779 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7780 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7781 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7782 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7783 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7784 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7785 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7786 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7787 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7788 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7789 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7790 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7791 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7792 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7793 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7794 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7795 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7796 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7797 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7798 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7799 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7800 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7801 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7802 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7803 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7804 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7805 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7806 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7807 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7808 |
$( x^{2} + x + 1 )^{8} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{7} + \left(8 x + 20\right) ( x^{2} + x + 1 )^{6} + \left(24 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7841 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 12 ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7842 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 28 ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7843 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 12 ( x^{2} + x + 1 )^{6} + \left(24 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7844 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 28 ( x^{2} + x + 1 )^{6} + \left(24 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7845 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 12 ( x^{2} + x + 1 )^{6} + \left(8 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7846 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 28 ( x^{2} + x + 1 )^{6} + \left(8 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7847 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 12 ( x^{2} + x + 1 )^{6} + \left(24 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7848 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 28 ( x^{2} + x + 1 )^{6} + \left(24 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7849 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 12 ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7850 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 28 ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7851 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 12 ( x^{2} + x + 1 )^{6} + \left(24 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7852 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 28 ( x^{2} + x + 1 )^{6} + \left(24 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7853 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 12 ( x^{2} + x + 1 )^{6} + \left(8 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7854 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 28 ( x^{2} + x + 1 )^{6} + \left(8 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7855 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 12 ( x^{2} + x + 1 )^{6} + \left(24 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7856 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 28 ( x^{2} + x + 1 )^{6} + \left(24 x + 28\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}, \frac{19}{4}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4},\frac{15}{4}]^{4}$ |
$[2,2,\frac{7}{2},\frac{7}{2},\frac{17}{4},\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2},\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7857 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 12 ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.60a2.7858 |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 28 ( x^{2} + x + 1 )^{6} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 24 ( x^{2} + x + 1 ) + 24 x + 2$ |
$C_2^6.C_2\wr C_4$ (as 16T1622) |
$4096$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[23, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + t$ |
$[1, 3, 7, 15]$ |
