$p$-adic field search results

Results (4 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
3.15.16.1	$15$	$x^{15} + 6 x^{2} + 3$	$3$	$15$	$1$	$16$	$C_3^4:F_5$ (as 15T42)	$4$	$5$	$[6/5]$	$[6/5, 6/5, 6/5, 6/5]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{2} + 3$	$[2, 0]$	$[2, 4]$
3.15.16.2	$15$	$x^{15} + 3 x^{3} + 3 x^{2} + 3$	$3$	$15$	$1$	$16$	$C_3\wr F_5$ (as 15T56)	$12$	$5$	$[6/5]$	$[6/5, 6/5, 6/5, 6/5]_{5}^{12}$	$t + 1$	$x^{15} + 3 x^{3} + 3 x^{2} + 3$	$[2, 0]$	$[1, 4]$
3.15.16.3	$15$	$x^{15} + 6 x^{3} + 3 x^{2} + 3$	$3$	$15$	$1$	$16$	$C_3\wr F_5$ (as 15T56)	$12$	$5$	$[6/5]$	$[6/5, 6/5, 6/5, 6/5]_{5}^{12}$	$t + 1$	$x^{15} + 6 x^{3} + 3 x^{2} + 3$	$[2, 0]$	$[1, 4]$
3.15.16.4	$15$	$x^{15} + 3 x^{2} + 3$	$3$	$15$	$1$	$16$	$C_3^4:F_5$ (as 15T41)	$4$	$5$	$[6/5]$	$[6/5, 6/5, 6/5, 6/5]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{2} + 3$	$[2, 0]$	$[1, 4]$