$p$-adic field search results

Results (8 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Ind. of Insep.	Assoc. Inertia
13.15.0.1	$15$	x^15 + 2x^7 + 12x^6 + 2x^5 + 11x^4 + 10x^3 + 11x^2 + 8x + 11	$13$	$1$	$15$	$0$	$C_{15}$ (as 15T1)	$15$	$1$	$[\ ]$	$[\ ]^{15}$	$[0]$	$[]$
13.15.10.1	$15$	x^15 + 65x^12 + 12x^11 + 33x^10 + 1690x^9 - 2340x^8 - 12822x^7 + 22234x^6 - 11805x^5 + 254085x^4 + 160029x^3 + 311358x^2 - 328605x + 351148	$13$	$3$	$5$	$10$	$C_{15}$ (as 15T1)	$5$	$3$	$[\ ]$	$[\ ]_{3}^{5}$	$[0]$	$[1]$
13.15.10.2	$15$	x^15 + 1352x^9 + 456976x^3 + 44926453	$13$	$3$	$5$	$10$	$C_{15}$ (as 15T1)	$5$	$3$	$[\ ]$	$[\ ]_{3}^{5}$	$[0]$	$[1]$
13.15.10.3	$15$	x^15 + 114244x^3 - 4084223	$13$	$3$	$5$	$10$	$C_{15}$ (as 15T1)	$5$	$3$	$[\ ]$	$[\ ]_{3}^{5}$	$[0]$	$[1]$
13.15.12.1	$15$	x^15 + 10x^13 + 55x^12 + 40x^11 + 479x^10 + 1290x^9 + 930x^8 - 5530x^7 + 16110x^6 + 19349x^5 + 267515x^4 + 64685x^3 + 204430x^2 - 112095x + 176534	$13$	$5$	$3$	$12$	$F_5\times C_3$ (as 15T8)	$12$	$5$	$[\ ]$	$[\ ]_{5}^{12}$	$[0]$	$[4]$
13.15.14.1	$15$	x^15 + 13	$13$	$15$	$1$	$14$	$F_5\times C_3$ (as 15T8)	$4$	$15$	$[\ ]$	$[\ ]_{15}^{4}$	$[0]$	$[4]$
13.15.14.2	$15$	x^15 + 26	$13$	$15$	$1$	$14$	$F_5\times C_3$ (as 15T8)	$4$	$15$	$[\ ]$	$[\ ]_{15}^{4}$	$[0]$	$[4]$
13.15.14.3	$15$	x^15 + 52	$13$	$15$	$1$	$14$	$F_5\times C_3$ (as 15T8)	$4$	$15$	$[\ ]$	$[\ ]_{15}^{4}$	$[0]$	$[4]$