$p$-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
5.15.20.12	$15$	$x^{15} + 20 x^{8} + 20 x^{7} + 20 x^{6} + 10 x^{5} + 5$	$5$	$15$	$1$	$20$	$C_{15} : C_4$ (as 15T6)	$2$	$6$	$[3/2]$	$[3/2]_{6}^{2}$	$t + 3$	$x^{15} + 20 x^{8} + 20 x^{7} + 20 x^{6} + 10 x^{5} + 5$	$[6, 0]$	$[2, 2]$
5.15.20.16	$15$	$x^{15} + 15 x^{8} + 5 x^{7} + 5 x^{6} + 10 x^{5} + 5$	$5$	$15$	$1$	$20$	$C_{15} : C_4$ (as 15T6)	$2$	$6$	$[3/2]$	$[3/2]_{6}^{2}$	$t + 3$	$x^{15} + 15 x^{8} + 5 x^{7} + 5 x^{6} + 10 x^{5} + 5$	$[6, 0]$	$[2, 2]$
5.15.26.70	$15$	$x^{15} + 20 x^{14} + 15 x^{12} + 15 x^{10} + 55$	$5$	$15$	$1$	$26$	$C_{15} : C_4$ (as 15T6)	$4$	$3$	$[2]$	$[2]_{3}^{4}$	$t + 3$	$x^{15} + 20 x^{14} + 15 x^{12} + 15 x^{10} + 55$	$[12, 0]$	$[4, 2]$
5.15.26.79	$15$	$x^{15} + 15 x^{14} + 20 x^{13} + 10 x^{12} + 20 x^{10} + 10 x^{5} + 5$	$5$	$15$	$1$	$26$	$C_{15} : C_4$ (as 15T6)	$4$	$3$	$[2]$	$[2]_{3}^{4}$	$t + 3$	$x^{15} + 15 x^{14} + 20 x^{13} + 10 x^{12} + 20 x^{10} + 10 x^{5} + 5$	$[12, 0]$	$[4, 2]$