$p$-adic field search results

Results (6 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Ind. of Insep.	Assoc. Inertia
11.14.0.1	$14$	x^14 + 2x^7 + 9x^6 + 6x^5 + 4x^4 + 8x^3 + 6x^2 + 10x + 2	$11$	$1$	$14$	$0$	$C_{14}$ (as 14T1)	$14$	$1$	$[\ ]$	$[\ ]^{14}$	$[0]$	$[]$
11.14.7.1	$14$	x^14 + 7086244x^2 - 175384539	$11$	$2$	$7$	$7$	$C_{14}$ (as 14T1)	$7$	$2$	$[\ ]$	$[\ ]_{2}^{7}$	$[0]$	$[1]$
11.14.7.2	$14$	x^14 + 77x^12 + 2541x^10 + 46593x^8 + 18x^7 + 511203x^6 - 4158x^5 + 3382071x^4 + 76230x^3 + 12550015x^2 - 167634x + 19370300	$11$	$2$	$7$	$7$	$C_{14}$ (as 14T1)	$7$	$2$	$[\ ]$	$[\ ]_{2}^{7}$	$[0]$	$[1]$
11.14.12.1	$14$	x^14 + 49x^13 + 1043x^12 + 12593x^11 + 94409x^10 + 451927x^9 + 1369193x^8 + 2531313x^7 + 2738925x^6 + 1818103x^5 + 871157x^4 + 978033x^3 + 3155803x^2 + 6978181x + 6677920	$11$	$7$	$2$	$12$	$(C_7:C_3) \times C_2$ (as 14T5)	$6$	$7$	$[\ ]$	$[\ ]_{7}^{6}$	$[0]$	$[3]$
11.14.13.1	$14$	x^14 + 22	$11$	$14$	$1$	$13$	$(C_7:C_3) \times C_2$ (as 14T5)	$3$	$14$	$[\ ]$	$[\ ]_{14}^{3}$	$[0]$	$[3]$
11.14.13.2	$14$	x^14 + 11	$11$	$14$	$1$	$13$	$(C_7:C_3) \times C_2$ (as 14T5)	$3$	$14$	$[\ ]$	$[\ ]_{14}^{3}$	$[0]$	$[3]$