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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 (12 matches)

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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
23.11.0.1 $x^{11} + 22 x^{2} + 7 x + 18$ $23$ $1$ $11$ $0$ $C_{11}$ (as 11T1) $[\ ]$ $[\ ]^{11}$ $t^{11} + 22 t^{2} + 7 t + 18$ $x - 23$
23.11.10.1 $x^{11} + 230$ $23$ $11$ $1$ $10$ $C_{11}$ (as 11T1) $[\ ]$ $[\ ]_{11}$ $t + 18$ $x^{11} + 230$
23.11.10.2 $x^{11} + 69$ $23$ $11$ $1$ $10$ $C_{11}$ (as 11T1) $[\ ]$ $[\ ]_{11}$ $t + 18$ $x^{11} + 69$
23.11.10.3 $x^{11} + 207$ $23$ $11$ $1$ $10$ $C_{11}$ (as 11T1) $[\ ]$ $[\ ]_{11}$ $t + 18$ $x^{11} + 207$
23.11.10.4 $x^{11} + 115$ $23$ $11$ $1$ $10$ $C_{11}$ (as 11T1) $[\ ]$ $[\ ]_{11}$ $t + 18$ $x^{11} + 115$
23.11.10.5 $x^{11} + 184$ $23$ $11$ $1$ $10$ $C_{11}$ (as 11T1) $[\ ]$ $[\ ]_{11}$ $t + 18$ $x^{11} + 184$
23.11.10.6 $x^{11} + 161$ $23$ $11$ $1$ $10$ $C_{11}$ (as 11T1) $[\ ]$ $[\ ]_{11}$ $t + 18$ $x^{11} + 161$
23.11.10.7 $x^{11} + 138$ $23$ $11$ $1$ $10$ $C_{11}$ (as 11T1) $[\ ]$ $[\ ]_{11}$ $t + 18$ $x^{11} + 138$
23.11.10.8 $x^{11} + 253$ $23$ $11$ $1$ $10$ $C_{11}$ (as 11T1) $[\ ]$ $[\ ]_{11}$ $t + 18$ $x^{11} + 253$
23.11.10.9 $x^{11} + 46$ $23$ $11$ $1$ $10$ $C_{11}$ (as 11T1) $[\ ]$ $[\ ]_{11}$ $t + 18$ $x^{11} + 46$
23.11.10.10 $x^{11} + 23$ $23$ $11$ $1$ $10$ $C_{11}$ (as 11T1) $[\ ]$ $[\ ]_{11}$ $t + 18$ $x^{11} + 23$
23.11.10.11 $x^{11} + 92$ $23$ $11$ $1$ $10$ $C_{11}$ (as 11T1) $[\ ]$ $[\ ]_{11}$ $t + 18$ $x^{11} + 92$
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