$p$-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
7.15.0.1	$15$	x^15 + 5x^6 + 6x^5 + 6x^4 + 4x^3 + x^2 + 2x + 4	$7$	$1$	$15$	$0$	$C_{15}$ (as 15T1)	$15$	$1$	$[\ ]$	$[\ ]^{15}$	$[0]$	$[]$
7.15.10.1	$15$	x^15 + 35x^12 + 3x^11 + 12x^10 + 490x^9 - 315x^8 - 2517x^7 + 3454x^6 - 834x^5 + 26565x^4 + 12846x^3 + 13662x^2 - 19944x + 16290	$7$	$3$	$5$	$10$	$C_{15}$ (as 15T1)	$5$	$3$	$[\ ]$	$[\ ]_{3}^{5}$	$[0]$	$[1]$
7.15.10.2	$15$	x^15 + 2401x^3 - 67228	$7$	$3$	$5$	$10$	$C_{15}$ (as 15T1)	$5$	$3$	$[\ ]$	$[\ ]_{3}^{5}$	$[0]$	$[1]$
7.15.10.3	$15$	x^15 + 98x^9 + 2401x^3 + 268912	$7$	$3$	$5$	$10$	$C_{15}$ (as 15T1)	$5$	$3$	$[\ ]$	$[\ ]_{3}^{5}$	$[0]$	$[1]$
7.15.12.1	$15$	x^15 + 30x^14 + 360x^13 + 2180x^12 + 6960x^11 + 12117x^10 + 17860x^9 + 33840x^8 + 45000x^7 + 90640x^6 - 100029x^5 - 595410x^4 - 585880x^3 + 441960x^2 + 576240x + 404231	$7$	$5$	$3$	$12$	$F_5\times C_3$ (as 15T8)	$12$	$5$	$[\ ]$	$[\ ]_{5}^{12}$	$[0]$	$[4]$
7.15.14.1	$15$	x^15 + 7	$7$	$15$	$1$	$14$	$F_5\times C_3$ (as 15T8)	$4$	$15$	$[\ ]$	$[\ ]_{15}^{4}$	$[0]$	$[4]$
7.15.14.2	$15$	x^15 + 14	$7$	$15$	$1$	$14$	$F_5\times C_3$ (as 15T8)	$4$	$15$	$[\ ]$	$[\ ]_{15}^{4}$	$[0]$	$[4]$
7.15.14.3	$15$	x^15 + 21	$7$	$15$	$1$	$14$	$F_5\times C_3$ (as 15T8)	$4$	$15$	$[\ ]$	$[\ ]_{15}^{4}$	$[0]$	$[4]$