$p$-adic field search results

Degree	Discriminant exponent	Galois group
Residue characteristic	Ramification index	Top slope

Results (6 matches)

 

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
11.14.0.1	x^14 + x^2 - 5x + 8	$11$	$1$	$14$	$0$	$C_{14}$ (as 14T1)	$ [\ ]^{14}$
11.14.7.1	x^14 - 2662x^8 + 1771561x^2 - 311794736	$11$	$2$	$7$	$7$	$C_{14}$ (as 14T1)	$ [\ ]_{2}^{7}$
11.14.7.2	x^14 - 1771561x^2 + 77948684	$11$	$2$	$7$	$7$	$C_{14}$ (as 14T1)	$ [\ ]_{2}^{7}$
11.14.12.1	x^14 - 11x^7 + 847	$11$	$7$	$2$	$12$	$(C_7:C_3) \times C_2$ (as 14T5)	$ [\ ]_{7}^{6}$
11.14.13.1	x^14 - 11	$11$	$14$	$1$	$13$	$(C_7:C_3) \times C_2$ (as 14T5)	$ [\ ]_{14}^{3}$
11.14.13.2	x^14 + 33	$11$	$14$	$1$	$13$	$(C_7:C_3) \times C_2$ (as 14T5)	$ [\ ]_{14}^{3}$