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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 (13 matches)

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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
19.9.0.1 $x^{9} + 11 x^{3} + 14 x^{2} + 16 x + 17$ $19$ $1$ $9$ $0$ $C_9$ (as 9T1) $[\ ]$ $[\ ]^{9}$ $t^{9} + 11 t^{3} + 14 t^{2} + 16 t + 17$ $x - 19$
19.9.6.1 $x^{9} + 1444 x^{3} - 116603$ $19$ $3$ $3$ $6$ $C_9$ (as 9T1) $[\ ]$ $[\ ]_{3}^{3}$ $t^{3} + 4 t + 17$ $x^{3} + 19 t$
19.9.6.2 $x^{9} + 981 x^{7} + 108 x^{6} + 316911 x^{5} + 20529 x^{4} + 34115982 x^{3} + 10990188 x^{2} + 130942880 x + 566550143$ $19$ $3$ $3$ $6$ $C_3^2$ (as 9T2) $[\ ]$ $[\ ]_{3}^{3}$ $t^{3} + 4 t + 17$ $x^{3} + 323 x + 19$
19.9.6.3 $x^{9} - 152 x^{6} + 5776 x^{3} + 1982251$ $19$ $3$ $3$ $6$ $C_9$ (as 9T1) $[\ ]$ $[\ ]_{3}^{3}$ $t^{3} + 4 t + 17$ $x^{3} + 19 t^{2}$
19.9.8.1 $x^{9} + 76$ $19$ $9$ $1$ $8$ $C_9$ (as 9T1) $[\ ]$ $[\ ]_{9}$ $t + 17$ $x^{9} + 76$
19.9.8.2 $x^{9} + 57$ $19$ $9$ $1$ $8$ $C_9$ (as 9T1) $[\ ]$ $[\ ]_{9}$ $t + 17$ $x^{9} + 57$
19.9.8.3 $x^{9} + 152$ $19$ $9$ $1$ $8$ $C_9$ (as 9T1) $[\ ]$ $[\ ]_{9}$ $t + 17$ $x^{9} + 152$
19.9.8.4 $x^{9} + 114$ $19$ $9$ $1$ $8$ $C_9$ (as 9T1) $[\ ]$ $[\ ]_{9}$ $t + 17$ $x^{9} + 114$
19.9.8.5 $x^{9} + 38$ $19$ $9$ $1$ $8$ $C_9$ (as 9T1) $[\ ]$ $[\ ]_{9}$ $t + 17$ $x^{9} + 38$
19.9.8.6 $x^{9} + 133$ $19$ $9$ $1$ $8$ $C_9$ (as 9T1) $[\ ]$ $[\ ]_{9}$ $t + 17$ $x^{9} + 133$
19.9.8.7 $x^{9} + 95$ $19$ $9$ $1$ $8$ $C_9$ (as 9T1) $[\ ]$ $[\ ]_{9}$ $t + 17$ $x^{9} + 95$
19.9.8.8 $x^{9} + 19$ $19$ $9$ $1$ $8$ $C_9$ (as 9T1) $[\ ]$ $[\ ]_{9}$ $t + 17$ $x^{9} + 19$
19.9.8.9 $x^{9} + 171$ $19$ $9$ $1$ $8$ $C_9$ (as 9T1) $[\ ]$ $[\ ]_{9}$ $t + 17$ $x^{9} + 171$
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