$p$-adic field search results

Results (4 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Ind. of Insep.	Assoc. Inertia
2.15.0.1	$15$	x^15 + x^5 + x^4 + x^2 + 1	$2$	$1$	$15$	$0$	$C_{15}$ (as 15T1)	$15$	$1$	$[\ ]$	$[\ ]^{15}$	$[0]$	$[]$
2.15.10.1	$15$	x^15 + 13x^12 + 3x^10 + 13x^9 - 174x^7 - 45x^6 + 3x^5 + 513x^4 + 63x^2 - 216x + 109	$2$	$3$	$5$	$10$	$S_3 \times C_5$ (as 15T4)	$10$	$3$	$[\ ]$	$[\ ]_{3}^{10}$	$[0]$	$[2]$
2.15.12.1	$15$	x^15 + 5x^13 + 5x^12 + 10x^11 + 26x^10 + 20x^9 - 145x^7 + 70x^6 + 73x^5 + 315x^4 - 105x^3 + 200x^2 + 5x + 1	$2$	$5$	$3$	$12$	$F_5\times C_3$ (as 15T8)	$12$	$5$	$[\ ]$	$[\ ]_{5}^{12}$	$[0]$	$[4]$
2.15.14.1	$15$	x^15 + 2	$2$	$15$	$1$	$14$	$C_{15} : C_4$ (as 15T6)	$4$	$15$	$[\ ]$	$[\ ]_{15}^{4}$	$[0]$	$[4]$