$p$-adic field search results

Results (6 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Unram. Ext.	Eisen. Poly.	Ind. of Insep.	Assoc. Inertia
3.15.19.1	$15$	$x^{15} + 3 x^{8} + 3 x^{7} + 3 x^{5} + 3$	$3$	$15$	$1$	$19$	$C_3^4:(S_3\times F_5)$ (as 15T64)	$4$	$10$	$[3/2]$	$[11/10, 11/10, 11/10, 11/10, 3/2]_{10}^{4}$	$t + 1$	$x^{15} + 3 x^{8} + 3 x^{7} + 3 x^{5} + 3$	$[5, 0]$	$[1, 4]$
3.15.19.2	$15$	$x^{15} + 6 x^{8} + 6 x^{6} + 3 x^{5} + 3 x^{3} + 3$	$3$	$15$	$1$	$19$	$C_3^4:(S_3\times F_5)$ (as 15T64)	$4$	$10$	$[3/2]$	$[11/10, 11/10, 11/10, 11/10, 3/2]_{10}^{4}$	$t + 1$	$x^{15} + 6 x^{8} + 6 x^{6} + 3 x^{5} + 3 x^{3} + 3$	$[5, 0]$	$[1, 4]$
3.15.19.3	$15$	$x^{15} + 6 x^{8} + 6 x^{7} + 6 x^{5} + 3 x^{3} + 3$	$3$	$15$	$1$	$19$	$C_3^4:(S_3\times F_5)$ (as 15T64)	$4$	$10$	$[3/2]$	$[11/10, 11/10, 11/10, 11/10, 3/2]_{10}^{4}$	$t + 1$	$x^{15} + 6 x^{8} + 6 x^{7} + 6 x^{5} + 3 x^{3} + 3$	$[5, 0]$	$[1, 4]$
3.15.19.4	$15$	$x^{15} + 3 x^{8} + 3 x^{5} + 3$	$3$	$15$	$1$	$19$	$F_5 \times S_3$ (as 15T11)	$4$	$10$	$[3/2]$	$[3/2]_{10}^{4}$	$t + 1$	$x^{15} + 3 x^{8} + 3 x^{5} + 3$	$[5, 0]$	$[1, 4]$
3.15.19.5	$15$	$x^{15} + 6 x^{5} + 3$	$3$	$15$	$1$	$19$	$F_5 \times S_3$ (as 15T11)	$4$	$10$	$[3/2]$	$[3/2]_{10}^{4}$	$t + 1$	$x^{15} + 6 x^{5} + 3$	$[5, 0]$	$[1, 4]$
3.15.19.6	$15$	$x^{15} + 6 x^{8} + 6 x^{7} + 6 x^{5} + 3$	$3$	$15$	$1$	$19$	$C_3^4:(S_3\times F_5)$ (as 15T64)	$4$	$10$	$[3/2]$	$[11/10, 11/10, 11/10, 11/10, 3/2]_{10}^{4}$	$t + 1$	$x^{15} + 6 x^{8} + 6 x^{7} + 6 x^{5} + 3$	$[5, 0]$	$[1, 4]$