$p$-adic field search results

Results (12 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Ind. of Insep.	Assoc. Inertia
11.15.0.1	$15$	x^15 + 10x^6 + 7x^5 + 5x^3 + 9	$11$	$1$	$15$	$0$	$C_{15}$ (as 15T1)	$15$	$1$	$[\ ]$	$[\ ]^{15}$	$[0]$	$[]$
11.15.10.1	$15$	x^15 + 85x^12 + 27x^10 - 140x^9 - 8370x^7 - 19350x^6 + 243x^5 + 134865x^4 + 4455x^3 + 29160x^2 - 467775x + 1121310	$11$	$3$	$5$	$10$	$S_3 \times C_5$ (as 15T4)	$10$	$3$	$[\ ]$	$[\ ]_{3}^{10}$	$[0]$	$[2]$
11.15.12.1	$15$	x^15 + 10x^13 + 45x^12 + 40x^11 + 393x^10 + 890x^9 + 750x^8 - 3970x^7 + 9610x^6 + 13085x^5 + 151045x^4 + 26525x^3 + 116170x^2 - 53795x + 67662	$11$	$5$	$3$	$12$	$C_{15}$ (as 15T1)	$3$	$5$	$[\ ]$	$[\ ]_{5}^{3}$	$[0]$	$[1]$
11.15.12.2	$15$	x^15 + 66x^10 + 21054x^5 - 8290799	$11$	$5$	$3$	$12$	$C_{15}$ (as 15T1)	$3$	$5$	$[\ ]$	$[\ ]_{5}^{3}$	$[0]$	$[1]$
11.15.12.3	$15$	x^15 + 242x^5 - 11979	$11$	$5$	$3$	$12$	$C_{15}$ (as 15T1)	$3$	$5$	$[\ ]$	$[\ ]_{5}^{3}$	$[0]$	$[1]$
11.15.12.4	$15$	x^15 - 396x^10 + 98978x^5 + 74617191	$11$	$5$	$3$	$12$	$C_{15}$ (as 15T1)	$3$	$5$	$[\ ]$	$[\ ]_{5}^{3}$	$[0]$	$[1]$
11.15.12.5	$15$	x^15 - 44x^10 + 484x^5 + 107811	$11$	$5$	$3$	$12$	$C_{15}$ (as 15T1)	$3$	$5$	$[\ ]$	$[\ ]_{5}^{3}$	$[0]$	$[1]$
11.15.14.1	$15$	x^15 + 11	$11$	$15$	$1$	$14$	$S_3 \times C_5$ (as 15T4)	$2$	$15$	$[\ ]$	$[\ ]_{15}^{2}$	$[0]$	$[2]$
11.15.14.2	$15$	x^15 + 33	$11$	$15$	$1$	$14$	$S_3 \times C_5$ (as 15T4)	$2$	$15$	$[\ ]$	$[\ ]_{15}^{2}$	$[0]$	$[2]$
11.15.14.3	$15$	x^15 + 22	$11$	$15$	$1$	$14$	$S_3 \times C_5$ (as 15T4)	$2$	$15$	$[\ ]$	$[\ ]_{15}^{2}$	$[0]$	$[2]$
11.15.14.4	$15$	x^15 + 55	$11$	$15$	$1$	$14$	$S_3 \times C_5$ (as 15T4)	$2$	$15$	$[\ ]$	$[\ ]_{15}^{2}$	$[0]$	$[2]$
11.15.14.5	$15$	x^15 + 44	$11$	$15$	$1$	$14$	$S_3 \times C_5$ (as 15T4)	$2$	$15$	$[\ ]$	$[\ ]_{15}^{2}$	$[0]$	$[2]$