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Degree Residue characteristic Galois group Galois unramified degree Assoc. Inertia
Ramification index Discriminant exponent Inertia subgroup Galois tame degree Indices
Residue field degree Top slope Wild Visible Wild inertia subgroup
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Results (6 matches)

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Label Polynomial $p$ $e$ $f$ $c$ Galois group $u$ $t$ Visible slopes Slope content Unram. Ext. Eisen. Poly. Ind. of Insep. Assoc. Inertia
11.5.0.1 $x^{5} + 10 x^{2} + 9$ $11$ $1$ $5$ $0$ $C_5$ (as 5T1) $5$ $1$ $[\ ]$ $[\ ]^{5}$ $t^{5} + 10 t^{2} + 9$ $x - 11$ $[0]$ $[\ ]$
11.5.4.1 $x^{5} + 55$ $11$ $5$ $1$ $4$ $C_5$ (as 5T1) $1$ $5$ $[\ ]$ $[\ ]_{5}$ $t + 9$ $x^{5} + 55$ $[0]$ $[1]$
11.5.4.2 $x^{5} + 44$ $11$ $5$ $1$ $4$ $C_5$ (as 5T1) $1$ $5$ $[\ ]$ $[\ ]_{5}$ $t + 9$ $x^{5} + 44$ $[0]$ $[1]$
11.5.4.3 $x^{5} + 33$ $11$ $5$ $1$ $4$ $C_5$ (as 5T1) $1$ $5$ $[\ ]$ $[\ ]_{5}$ $t + 9$ $x^{5} + 33$ $[0]$ $[1]$
11.5.4.4 $x^{5} + 11$ $11$ $5$ $1$ $4$ $C_5$ (as 5T1) $1$ $5$ $[\ ]$ $[\ ]_{5}$ $t + 9$ $x^{5} + 11$ $[0]$ $[1]$
11.5.4.5 $x^{5} + 22$ $11$ $5$ $1$ $4$ $C_5$ (as 5T1) $1$ $5$ $[\ ]$ $[\ ]_{5}$ $t + 9$ $x^{5} + 22$ $[0]$ $[1]$
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