$p$-adic field search results

Degree	Residue characteristic	Galois group	Galois unramified degree
Ramification index	Discriminant exponent	Inertia subgroup	Galois tame degree
Residue field degree	Top slope	Wild inertia subgroup

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Results (1-50 of 112 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content
2.3.0.1	$3$	x^3 - x + 1	$2$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
3.3.0.1	$3$	x^3 - x + 1	$3$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
3.3.4.1	$3$	x^3 - 3x^2 + 21	$3$	$3$	$1$	$4$	$C_3$ (as 3T1)	$1$	$1$	$[2]$	$[2]$
3.3.4.2	$3$	x^3 - 3x^2 + 3	$3$	$3$	$1$	$4$	$C_3$ (as 3T1)	$1$	$1$	$[2]$	$[2]$
3.3.4.3	$3$	x^3 - 3x^2 + 12	$3$	$3$	$1$	$4$	$C_3$ (as 3T1)	$1$	$1$	$[2]$	$[2]$
5.3.0.1	$3$	x^3 - x + 2	$5$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
7.3.0.1	$3$	x^3 - x + 2	$7$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
7.3.2.1	$3$	x^3 + 14	$7$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
7.3.2.2	$3$	x^3 - 7	$7$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
7.3.2.3	$3$	x^3 - 28	$7$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
11.3.0.1	$3$	x^3 - x + 3	$11$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
13.3.0.1	$3$	x^3 - 2x + 6	$13$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
13.3.2.1	$3$	x^3 + 26	$13$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
13.3.2.2	$3$	x^3 - 13	$13$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
13.3.2.3	$3$	x^3 - 52	$13$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
17.3.0.1	$3$	x^3 - x + 3	$17$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
19.3.0.1	$3$	x^3 - x + 4	$19$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
19.3.2.1	$3$	x^3 + 76	$19$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
19.3.2.2	$3$	x^3 - 19	$19$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
19.3.2.3	$3$	x^3 - 304	$19$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
23.3.0.1	$3$	x^3 - x + 4	$23$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
29.3.0.1	$3$	x^3 - x + 3	$29$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
31.3.0.1	$3$	x^3 - x + 9	$31$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
31.3.2.1	$3$	x^3 - 31	$31$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
31.3.2.2	$3$	x^3 + 217	$31$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
31.3.2.3	$3$	x^3 - 1519	$31$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
37.3.0.1	$3$	x^3 - x + 2	$37$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
37.3.2.1	$3$	x^3 - 37	$37$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
37.3.2.2	$3$	x^3 + 74	$37$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
37.3.2.3	$3$	x^3 - 148	$37$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
41.3.0.1	$3$	x^3 - x + 13	$41$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
43.3.0.1	$3$	x^3 - x + 10	$43$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
43.3.2.1	$3$	x^3 - 43	$43$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
43.3.2.2	$3$	x^3 + 387	$43$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
43.3.2.3	$3$	x^3 - 3483	$43$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
47.3.0.1	$3$	x^3 - x + 2	$47$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
53.3.0.1	$3$	x^3 - x + 8	$53$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
59.3.0.1	$3$	x^3 - x + 17	$59$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
61.3.0.1	$3$	x^3 - x + 10	$61$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
61.3.2.1	$3$	x^3 - 61	$61$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
61.3.2.2	$3$	x^3 + 122	$61$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
61.3.2.3	$3$	x^3 - 244	$61$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
67.3.0.1	$3$	x^3 - x + 16	$67$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
67.3.2.1	$3$	x^3 - 67	$67$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
67.3.2.2	$3$	x^3 + 268	$67$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
67.3.2.3	$3$	x^3 - 1072	$67$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
71.3.0.1	$3$	x^3 - x + 2	$71$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
73.3.0.1	$3$	x^3 - x + 14	$73$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$
73.3.2.1	$3$	x^3 - 73	$73$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$
73.3.2.2	$3$	x^3 + 365	$73$	$3$	$1$	$2$	$C_3$ (as 3T1)	$1$	$3$	$[\ ]$	$[\ ]_{3}$