$p$-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
19.15.0.1	$15$	x^15 + x^7 + 10x^6 + 11x^5 + 13x^4 + 15x^3 + 14x^2 + 17	$19$	$1$	$15$	$0$	$C_{15}$ (as 15T1)	$15$	$1$	$[\ ]$	$[\ ]^{15}$	$[0]$	$[]$
19.15.10.1	$15$	x^15 + 95x^12 + 15x^11 + 51x^10 + 3610x^9 - 4275x^8 - 28995x^7 + 69100x^6 - 31623x^5 + 835620x^4 + 700180x^3 + 1194855x^2 - 1636410x + 2391332	$19$	$3$	$5$	$10$	$C_{15}$ (as 15T1)	$5$	$3$	$[\ ]$	$[\ ]_{3}^{5}$	$[0]$	$[1]$
19.15.10.2	$15$	x^15 + 651605x^3 - 42093683	$19$	$3$	$5$	$10$	$C_{15}$ (as 15T1)	$5$	$3$	$[\ ]$	$[\ ]_{3}^{5}$	$[0]$	$[1]$
19.15.10.3	$15$	x^15 + 3610x^9 + 3258025x^3 + 715592611	$19$	$3$	$5$	$10$	$C_{15}$ (as 15T1)	$5$	$3$	$[\ ]$	$[\ ]_{3}^{5}$	$[0]$	$[1]$
19.15.12.1	$15$	x^15 + 20x^13 + 85x^12 + 160x^11 + 1417x^10 + 3530x^9 + 7020x^8 + 6890x^7 + 76970x^6 + 160207x^5 + 1168245x^4 + 470325x^3 + 1653430x^2 + 224615x + 1762712	$19$	$5$	$3$	$12$	$D_5\times C_3$ (as 15T3)	$6$	$5$	$[\ ]$	$[\ ]_{5}^{6}$	$[0]$	$[2]$
19.15.14.1	$15$	x^15 + 19	$19$	$15$	$1$	$14$	$D_5\times C_3$ (as 15T3)	$2$	$15$	$[\ ]$	$[\ ]_{15}^{2}$	$[0]$	$[2]$
19.15.14.2	$15$	x^15 + 76	$19$	$15$	$1$	$14$	$D_5\times C_3$ (as 15T3)	$2$	$15$	$[\ ]$	$[\ ]_{15}^{2}$	$[0]$	$[2]$
19.15.14.3	$15$	x^15 + 38	$19$	$15$	$1$	$14$	$D_5\times C_3$ (as 15T3)	$2$	$15$	$[\ ]$	$[\ ]_{15}^{2}$	$[0]$	$[2]$