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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 (30 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
2.3.2.1 $x^{3} + 2$ $2$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 1$ $x^{3} + 2$ $[0]$ $[2]$
3.3.3.1 $x^{3} + 6 x + 3$ $3$ $3$ $1$ $3$ $S_3$ (as 3T2) $1$ $2$ $[3/2]$ $[3/2]_{2}$ $t + 1$ $x^{3} + 6 x + 3$ $[1, 0]$ $[1]$
3.3.3.2 $x^{3} + 3 x + 3$ $3$ $3$ $1$ $3$ $S_3$ (as 3T2) $1$ $2$ $[3/2]$ $[3/2]_{2}$ $t + 1$ $x^{3} + 3 x + 3$ $[1, 0]$ $[1]$
3.3.4.4 $x^{3} + 3 x^{2} + 3$ $3$ $3$ $1$ $4$ $S_3$ (as 3T2) $2$ $1$ $[2]$ $[2]^{2}$ $t + 1$ $x^{3} + 3 x^{2} + 3$ $[2, 0]$ $[2]$
3.3.5.1 $x^{3} + 3$ $3$ $3$ $1$ $5$ $S_3$ (as 3T2) $1$ $2$ $[5/2]$ $[5/2]_{2}$ $t + 1$ $x^{3} + 3$ $[3, 0]$ $[1]$
3.3.5.2 $x^{3} + 18 x + 3$ $3$ $3$ $1$ $5$ $S_3$ (as 3T2) $1$ $2$ $[5/2]$ $[5/2]_{2}$ $t + 1$ $x^{3} + 18 x + 3$ $[3, 0]$ $[1]$
3.3.5.3 $x^{3} + 9 x + 3$ $3$ $3$ $1$ $5$ $S_3$ (as 3T2) $1$ $2$ $[5/2]$ $[5/2]_{2}$ $t + 1$ $x^{3} + 9 x + 3$ $[3, 0]$ $[1]$
5.3.2.1 $x^{3} + 5$ $5$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 3$ $x^{3} + 5$ $[0]$ $[2]$
11.3.2.1 $x^{3} + 11$ $11$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 9$ $x^{3} + 11$ $[0]$ $[2]$
17.3.2.1 $x^{3} + 17$ $17$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 14$ $x^{3} + 17$ $[0]$ $[2]$
23.3.2.1 $x^{3} + 23$ $23$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 18$ $x^{3} + 23$ $[0]$ $[2]$
29.3.2.1 $x^{3} + 29$ $29$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 27$ $x^{3} + 29$ $[0]$ $[2]$
41.3.2.1 $x^{3} + 41$ $41$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 35$ $x^{3} + 41$ $[0]$ $[2]$
47.3.2.1 $x^{3} + 47$ $47$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 42$ $x^{3} + 47$ $[0]$ $[2]$
53.3.2.1 $x^{3} + 53$ $53$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 51$ $x^{3} + 53$ $[0]$ $[2]$
59.3.2.1 $x^{3} + 59$ $59$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 57$ $x^{3} + 59$ $[0]$ $[2]$
71.3.2.1 $x^{3} + 71$ $71$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 64$ $x^{3} + 71$ $[0]$ $[2]$
83.3.2.1 $x^{3} + 83$ $83$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 81$ $x^{3} + 83$ $[0]$ $[2]$
89.3.2.1 $x^{3} + 89$ $89$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 86$ $x^{3} + 89$ $[0]$ $[2]$
101.3.2.1 $x^{3} + 101$ $101$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 99$ $x^{3} + 101$ $[0]$ $[2]$
107.3.2.1 $x^{3} + 107$ $107$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 105$ $x^{3} + 107$ $[0]$ $[2]$
113.3.2.1 $x^{3} + 113$ $113$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 110$ $x^{3} + 113$ $[0]$ $[2]$
131.3.2.1 $x^{3} + 131$ $131$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 129$ $x^{3} + 131$ $[0]$ $[2]$
137.3.2.1 $x^{3} + 137$ $137$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 134$ $x^{3} + 137$ $[0]$ $[2]$
149.3.2.1 $x^{3} + 149$ $149$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 147$ $x^{3} + 149$ $[0]$ $[2]$
167.3.2.1 $x^{3} + 167$ $167$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 162$ $x^{3} + 167$ $[0]$ $[2]$
173.3.2.1 $x^{3} + 173$ $173$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 171$ $x^{3} + 173$ $[0]$ $[2]$
179.3.2.1 $x^{3} + 179$ $179$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 177$ $x^{3} + 179$ $[0]$ $[2]$
191.3.2.1 $x^{3} + 191$ $191$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 172$ $x^{3} + 191$ $[0]$ $[2]$
197.3.2.1 $x^{3} + 197$ $197$ $3$ $1$ $2$ $S_3$ (as 3T2) $2$ $3$ $[\ ]$ $[\ ]_{3}^{2}$ $t + 195$ $x^{3} + 197$ $[0]$ $[2]$
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