$p$-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 (12 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Slope content
23.11.0.1	$11$	x^11 - x + 13	$23$	$1$	$11$	$0$	$C_{11}$ (as 11T1)	$11$	$1$	$[\ ]^{11}$
23.11.10.1	$11$	x^11 + 2944	$23$	$11$	$1$	$10$	$C_{11}$ (as 11T1)	$1$	$11$	$[\ ]_{11}$
23.11.10.10	$11$	x^11 - 23	$23$	$11$	$1$	$10$	$C_{11}$ (as 11T1)	$1$	$11$	$[\ ]_{11}$
23.11.10.11	$11$	x^11 - 92	$23$	$11$	$1$	$10$	$C_{11}$ (as 11T1)	$1$	$11$	$[\ ]_{11}$
23.11.10.2	$11$	x^11 - 5888	$23$	$11$	$1$	$10$	$C_{11}$ (as 11T1)	$1$	$11$	$[\ ]_{11}$
23.11.10.3	$11$	x^11 + 736	$23$	$11$	$1$	$10$	$C_{11}$ (as 11T1)	$1$	$11$	$[\ ]_{11}$
23.11.10.4	$11$	x^11 - 1472	$23$	$11$	$1$	$10$	$C_{11}$ (as 11T1)	$1$	$11$	$[\ ]_{11}$
23.11.10.5	$11$	x^11 + 184	$23$	$11$	$1$	$10$	$C_{11}$ (as 11T1)	$1$	$11$	$[\ ]_{11}$
23.11.10.6	$11$	x^11 - 368	$23$	$11$	$1$	$10$	$C_{11}$ (as 11T1)	$1$	$11$	$[\ ]_{11}$
23.11.10.7	$11$	x^11 + 11776	$23$	$11$	$1$	$10$	$C_{11}$ (as 11T1)	$1$	$11$	$[\ ]_{11}$
23.11.10.8	$11$	x^11 - 23552	$23$	$11$	$1$	$10$	$C_{11}$ (as 11T1)	$1$	$11$	$[\ ]_{11}$
23.11.10.9	$11$	x^11 + 46	$23$	$11$	$1$	$10$	$C_{11}$ (as 11T1)	$1$	$11$	$[\ ]_{11}$