$p$-adic field search results

Results (14 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
2.14.14.40	$14$	$x^{14} + 2 x^{2} + 2 x + 2$	$2$	$14$	$1$	$14$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[8/7]$	$[8/7, 8/7, 8/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{2} + 2 x + 2$	$[1, 0]$	$[1, 3]$
2.14.16.4	$14$	$x^{14} + 2 x^{3} + 2$	$2$	$14$	$1$	$16$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[10/7]$	$[10/7, 10/7, 10/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{3} + 2$	$[3, 0]$	$[1, 3]$
2.14.18.1	$14$	$x^{14} + 2 x^{10} + 2 x^{5} + 2$	$2$	$14$	$1$	$18$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[12/7]$	$[12/7, 12/7, 12/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{10} + 2 x^{5} + 2$	$[5, 0]$	$[1, 3]$
2.14.18.2	$14$	$x^{14} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{5} + 2$	$2$	$14$	$1$	$18$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[12/7]$	$[12/7, 12/7, 12/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{5} + 2$	$[5, 0]$	$[1, 3]$
2.14.22.5	$14$	$x^{14} + 2 x^{9} + 4 x^{4} + 6$	$2$	$14$	$1$	$22$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[16/7]$	$[16/7, 16/7, 16/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{9} + 4 x^{4} + 6$	$[9, 0]$	$[1, 3]$
2.14.22.8	$14$	$x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x + 2$	$2$	$14$	$1$	$22$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[16/7]$	$[16/7, 16/7, 16/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x + 2$	$[9, 0]$	$[1, 3]$
2.14.24.34	$14$	$x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{6} + 4 x^{4} + 2$	$2$	$14$	$1$	$24$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[18/7]$	$[18/7, 18/7, 18/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{6} + 4 x^{4} + 2$	$[11, 0]$	$[1, 3]$
2.14.24.53	$14$	$x^{14} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$	$2$	$14$	$1$	$24$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[18/7]$	$[18/7, 18/7, 18/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$	$[11, 0]$	$[1, 3]$
2.14.24.6	$14$	$x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 4 x + 2$	$2$	$14$	$1$	$24$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[18/7]$	$[18/7, 18/7, 18/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 4 x + 2$	$[11, 0]$	$[1, 3]$
2.14.24.7	$14$	$x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$	$2$	$14$	$1$	$24$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[18/7]$	$[18/7, 18/7, 18/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$	$[11, 0]$	$[1, 3]$
2.14.26.118	$14$	$x^{14} + 2 x^{13} + 6 x^{12} + 4 x^{11} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$	$2$	$14$	$1$	$26$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[20/7]$	$[20/7, 20/7, 20/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{13} + 6 x^{12} + 4 x^{11} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$	$[13, 0]$	$[1, 3]$
2.14.26.32	$14$	$x^{14} + 2 x^{13} + 6 x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$	$2$	$14$	$1$	$26$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[20/7]$	$[20/7, 20/7, 20/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{13} + 6 x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$	$[13, 0]$	$[1, 3]$
2.14.26.44	$14$	$x^{14} + 2 x^{13} + 6 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 6$	$2$	$14$	$1$	$26$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[20/7]$	$[20/7, 20/7, 20/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{13} + 6 x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 6$	$[13, 0]$	$[1, 3]$
2.14.26.99	$14$	$x^{14} + 2 x^{13} + 4 x^{12} + 2 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x + 2$	$2$	$14$	$1$	$26$	$F_8:C_3$ (as 14T11)	$3$	$7$	$[20/7]$	$[20/7, 20/7, 20/7]_{7}^{3}$	$t + 1$	$x^{14} + 2 x^{13} + 4 x^{12} + 2 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x + 2$	$[13, 0]$	$[1, 3]$