$p$-adic field search results

Results (16 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
7.14.16.29	$14$	$x^{14} + 14 x^{4} + 21 x^{3} + 7$	$7$	$14$	$1$	$16$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[5/4]$	$[5/4, 5/4]_{4}^{2}$	$t + 4$	$x^{14} + 14 x^{4} + 21 x^{3} + 7$	$[3, 0]$	$[1, 1]$
7.14.16.33	$14$	$x^{14} + 28 x^{4} + 14 x^{3} + 21$	$7$	$14$	$1$	$16$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[5/4]$	$[5/4, 5/4]_{4}^{2}$	$t + 4$	$x^{14} + 28 x^{4} + 14 x^{3} + 21$	$[3, 0]$	$[1, 1]$
7.14.22.28	$14$	$x^{14} + 7 x^{11} + 42 x^{9} + 28 x^{7} + 7$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 7 x^{11} + 42 x^{9} + 28 x^{7} + 7$	$[9, 0]$	$[1, 1]$
7.14.22.29	$14$	$x^{14} + 14 x^{11} + 42 x^{9} + 7 x^{7} + 7$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 14 x^{11} + 42 x^{9} + 7 x^{7} + 7$	$[9, 0]$	$[1, 1]$
7.14.22.34	$14$	$x^{14} + 14 x^{11} + 28 x^{10} + 42 x^{9} + 7$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 14 x^{11} + 28 x^{10} + 42 x^{9} + 7$	$[9, 0]$	$[1, 1]$
7.14.22.44	$14$	$x^{14} + 7 x^{10} + 21 x^{9} + 14 x^{7} + 21$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 7 x^{10} + 21 x^{9} + 14 x^{7} + 21$	$[9, 0]$	$[1, 1]$
7.14.22.45	$14$	$x^{14} + 21 x^{11} + 21 x^{10} + 21 x^{9} + 21 x^{7} + 21$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 21 x^{11} + 21 x^{10} + 21 x^{9} + 21 x^{7} + 21$	$[9, 0]$	$[1, 1]$
7.14.22.46	$14$	$x^{14} + 14 x^{11} + 7 x^{10} + 28 x^{9} + 21$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 14 x^{11} + 7 x^{10} + 28 x^{9} + 21$	$[9, 0]$	$[1, 1]$
7.14.22.50	$14$	$x^{14} + 14 x^{11} + 21 x^{10} + 21 x^{9} + 42 x^{7} + 21$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 14 x^{11} + 21 x^{10} + 21 x^{9} + 42 x^{7} + 21$	$[9, 0]$	$[1, 1]$
7.14.22.54	$14$	$x^{14} + 21 x^{11} + 42 x^{9} + 7$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 21 x^{11} + 42 x^{9} + 7$	$[9, 0]$	$[1, 1]$
7.14.22.61	$14$	$x^{14} + 42 x^{11} + 14 x^{10} + 7 x^{9} + 42 x^{7} + 7$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 42 x^{11} + 14 x^{10} + 7 x^{9} + 42 x^{7} + 7$	$[9, 0]$	$[1, 1]$
7.14.22.62	$14$	$x^{14} + 21 x^{11} + 28 x^{10} + 42 x^{9} + 14 x^{7} + 7$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 21 x^{11} + 28 x^{10} + 42 x^{9} + 14 x^{7} + 7$	$[9, 0]$	$[1, 1]$
7.14.22.64	$14$	$x^{14} + 28 x^{9} + 14 x^{7} + 21$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 28 x^{9} + 14 x^{7} + 21$	$[9, 0]$	$[1, 1]$
7.14.22.65	$14$	$x^{14} + 21 x^{11} + 28 x^{10} + 28 x^{9} + 21$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 21 x^{11} + 28 x^{10} + 28 x^{9} + 21$	$[9, 0]$	$[1, 1]$
7.14.22.66	$14$	$x^{14} + 7 x^{11} + 35 x^{10} + 21 x^{9} + 14 x^{7} + 21$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 7 x^{11} + 35 x^{10} + 21 x^{9} + 14 x^{7} + 21$	$[9, 0]$	$[1, 1]$
7.14.22.68	$14$	$x^{14} + 42 x^{11} + 14 x^{10} + 7 x^{9} + 21 x^{7} + 7$	$7$	$14$	$1$	$22$	$D_7 \wr C_2$ (as 14T20)	$2$	$4$	$[7/4]$	$[7/4, 7/4]_{4}^{2}$	$t + 4$	$x^{14} + 42 x^{11} + 14 x^{10} + 7 x^{9} + 21 x^{7} + 7$	$[9, 0]$	$[1, 1]$