$p$-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
17.15.0.1	$15$	x^15 + 4x^6 + 4x^5 + 16x^4 + 6x^3 + 14x^2 + 14x + 14	$17$	$1$	$15$	$0$	$C_{15}$ (as 15T1)	$15$	$1$	$[\ ]$	$[\ ]^{15}$	$[0]$	$[]$
17.15.10.1	$15$	x^15 + 85x^12 + 3x^11 + 42x^10 + 2890x^9 - 765x^8 - 21417x^7 + 49214x^6 - 4614x^5 + 546465x^4 + 424746x^3 + 247392x^2 - 1027674x + 1410480	$17$	$3$	$5$	$10$	$S_3 \times C_5$ (as 15T4)	$10$	$3$	$[\ ]$	$[\ ]_{3}^{10}$	$[0]$	$[2]$
17.15.12.1	$15$	x^15 + 5x^13 + 70x^12 + 10x^11 + 331x^10 + 1970x^9 + 165x^8 - 15535x^7 + 28060x^6 + 10318x^5 + 504940x^4 + 183500x^3 + 248865x^2 - 505940x + 539184	$17$	$5$	$3$	$12$	$F_5\times C_3$ (as 15T8)	$12$	$5$	$[\ ]$	$[\ ]_{5}^{12}$	$[0]$	$[4]$
17.15.14.1	$15$	x^15 + 17	$17$	$15$	$1$	$14$	$C_{15} : C_4$ (as 15T6)	$4$	$15$	$[\ ]$	$[\ ]_{15}^{4}$	$[0]$	$[4]$