Properties

Label 2.10.2.30a
Base 2.1.1.0a1.1
Degree \(20\)
e \(2\)
f \(10\)
c \(30\)

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Defining polynomial over unramified subextension

$x^{2} + 4 b_{3} x + 8 c_{4} + 2$

Invariants

Residue field characteristic: $2$
Degree: $20$
Base field: $\Q_{2}$
Ramification index $e$: $2$
Residue field degree $f$: $10$
Discriminant exponent $c$: $30$
Artin slopes: $[3]$
Swan slopes: $[2]$
Means: $\langle1\rangle$
Rams: $(2)$
Field count: $216$ (complete)
Ambiguity: $20$
Mass: $1024$
Absolute Mass: $512/5$

Diagrams

Varying

Indices of inseparability: $[2,0]$
Associated inertia: $[1]$
Jump Set: $[1,3]$

Fields


Showing 1-50 of 216

Next   displayed columns for results
Label Packet size Polynomial Galois group Galois degree $\#\Aut(K/\Q_p)$ Artin slope content Swan slope content Hidden Artin slopes Hidden Swan slopes Ind. of Insep. Assoc. Inertia Resid. Poly Jump Set
2.10.2.30a1.1 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + 2$ $C_2\times C_{10}$ (as 20T3) $20$ $20$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.2 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + 8 x^{5} + 2$ $C_{20}$ (as 20T1) $20$ $20$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.3 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + 4 x^{7} ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.4 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + 4 x^{7} ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.5 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + 4 x^{5} ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.6 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + 4 x^{5} ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.7 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{5}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.8 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{5}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.9 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{4}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^6:C_{10}$ (as 20T130) $640$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.10 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{4}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^6:C_{10}$ (as 20T130) $640$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.11 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{4}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.12 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{4}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.13 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{5} + 4 x^{4}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ not computed $ $not computed$ $ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.14 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{5} + 4 x^{4}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ not computed $ $not computed$ $ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.15 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{4}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ not computed $ $not computed$ $ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.16 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{4}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.17 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + 4 x^{3} ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^9.C_{10}$ (as 20T340) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.18 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + 4 x^{3} ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^8.C_{20}$ (as 20T344) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.19 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^9.C_{10}$ (as 20T340) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.20 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^8.C_{20}$ (as 20T344) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.21 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.22 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ not computed $ $not computed$ $ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.23 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.24 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.25 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{4} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^9.C_{10}$ (as 20T340) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.26 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{4} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^8.C_{20}$ (as 20T344) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.27 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{4} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^9.C_{10}$ (as 20T340) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.28 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{4} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^8.C_{20}$ (as 20T344) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.29 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.30 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.31 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{5} + 4 x^{4} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.32 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{5} + 4 x^{4} + 4 x^{3}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ not computed $ $not computed$ $ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.33 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.34 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ not computed $ $not computed$ $ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.35 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{5} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.36 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{5} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.37 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.38 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.39 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{5} + 4 x^{4} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.40 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{5} + 4 x^{4} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.41 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^9.C_{10}$ (as 20T340) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.42 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^8.C_{20}$ (as 20T344) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.43 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ not computed $ $not computed$ $ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.44 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^{10}.C_{10}$ (as 20T409) $10240$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.45 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^6:C_{10}$ (as 20T130) $640$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.46 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^6:C_{10}$ (as 20T130) $640$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.47 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{3} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^9.C_{10}$ (as 20T340) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.48 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{3} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^8.C_{20}$ (as 20T344) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.49 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{3} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ $C_2^9.C_{10}$ (as 20T340) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
2.10.2.30a1.50 $( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(4 x^{6} + 4 x^{3} + 4 x^{2}\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ $C_2^8.C_{20}$ (as 20T344) $5120$ $2$ not computed not computed not computed not computed $[2, 0]$ $[1]$ $z + (t^8 + t^4 + 1)$ $[1, 3]$
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