$p$-adic field search results

Results (32 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
3.12.13.2	$12$	$x^{12} + 3 x^{3} + 6 x^{2} + 3$	$3$	$12$	$1$	$13$	$S_3^2:C_6$ (as 12T121)	$6$	$4$	$[5/4]$	$[5/4, 5/4]_{4}^{6}$	$t + 1$	$x^{12} + 3 x^{3} + 6 x^{2} + 3$	$[2, 0]$	$[1, 2]$
3.12.13.3	$12$	$x^{12} + 3 x^{3} + 3 x^{2} + 6$	$3$	$12$	$1$	$13$	$S_3^2:C_6$ (as 12T121)	$6$	$4$	$[5/4]$	$[5/4, 5/4]_{4}^{6}$	$t + 1$	$x^{12} + 3 x^{3} + 3 x^{2} + 6$	$[2, 0]$	$[1, 2]$
3.12.19.20	$12$	$x^{12} + 6 x^{11} + 3 x^{8} + 6$	$3$	$12$	$1$	$19$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[2]$	$[5/4, 5/4, 2]_{4}^{2}$	$t + 1$	$x^{12} + 6 x^{11} + 3 x^{8} + 6$	$[8, 0]$	$[1, 2]$
3.12.19.29	$12$	$x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 6 x^{8} + 6 x^{6} + 3$	$3$	$12$	$1$	$19$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[2]$	$[5/4, 5/4, 2]_{4}^{2}$	$t + 1$	$x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 6 x^{8} + 6 x^{6} + 3$	$[8, 0]$	$[1, 2]$
3.12.19.37	$12$	$x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{9} + 6 x^{8} + 3 x^{6} + 21$	$3$	$12$	$1$	$19$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[2]$	$[5/4, 5/4, 2]_{4}^{2}$	$t + 1$	$x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{9} + 6 x^{8} + 3 x^{6} + 21$	$[8, 0]$	$[1, 2]$
3.12.19.44	$12$	$x^{12} + 3 x^{10} + 3 x^{9} + 3 x^{8} + 6 x^{6} + 15$	$3$	$12$	$1$	$19$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[2]$	$[5/4, 5/4, 2]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{10} + 3 x^{9} + 3 x^{8} + 6 x^{6} + 15$	$[8, 0]$	$[1, 2]$
3.12.19.46	$12$	$x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{8} + 3 x^{6} + 24$	$3$	$12$	$1$	$19$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[2]$	$[5/4, 5/4, 2]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{8} + 3 x^{6} + 24$	$[8, 0]$	$[1, 2]$
3.12.19.48	$12$	$x^{12} + 3 x^{11} + 6 x^{8} + 12$	$3$	$12$	$1$	$19$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[2]$	$[5/4, 5/4, 2]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 6 x^{8} + 12$	$[8, 0]$	$[1, 2]$
3.12.21.102	$12$	$x^{12} + 3 x^{10} + 6 x^{6} + 18 x^{3} + 21$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$6$	$4$	$[9/4]$	$[9/4, 9/4]_{4}^{6}$	$t + 1$	$x^{12} + 3 x^{10} + 6 x^{6} + 18 x^{3} + 21$	$[10, 0]$	$[1, 2]$
3.12.21.109	$12$	$x^{12} + 3 x^{11} + 3 x^{10} + 18 x^{3} + 18 x + 3$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 3 x^{10} + 18 x^{3} + 18 x + 3$	$[10, 0]$	$[1, 2]$
3.12.21.112	$12$	$x^{12} + 6 x^{10} + 6 x^{9} + 9 x + 24$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$6$	$4$	$[9/4]$	$[9/4, 9/4]_{4}^{6}$	$t + 1$	$x^{12} + 6 x^{10} + 6 x^{9} + 9 x + 24$	$[10, 0]$	$[1, 2]$
3.12.21.114	$12$	$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 6 x^{6} + 18 x^{3} + 6$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 6 x^{6} + 18 x^{3} + 6$	$[10, 0]$	$[1, 2]$
3.12.21.12	$12$	$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{6} + 9 x^{3} + 18 x + 24$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{6} + 9 x^{3} + 18 x + 24$	$[10, 0]$	$[1, 2]$
3.12.21.19	$12$	$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 6 x^{6} + 18 x^{3} + 18 x^{2} + 24$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 6 x^{6} + 18 x^{3} + 18 x^{2} + 24$	$[10, 0]$	$[1, 2]$
3.12.21.32	$12$	$x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{9} + 6 x^{6} + 6 x^{3} + 9 x^{2} + 18 x + 24$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{9} + 6 x^{6} + 6 x^{3} + 9 x^{2} + 18 x + 24$	$[10, 0]$	$[1, 2]$
3.12.21.33	$12$	$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{6} + 9 x^{2} + 3$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{6} + 9 x^{2} + 3$	$[10, 0]$	$[1, 2]$
3.12.21.41	$12$	$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{6} + 18 x^{3} + 12$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{6} + 18 x^{3} + 12$	$[10, 0]$	$[1, 2]$
3.12.21.51	$12$	$x^{12} + 6 x^{11} + 6 x^{10} + 3 x^{9} + 15 x^{3} + 9 x^{2} + 9 x + 6$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 6 x^{11} + 6 x^{10} + 3 x^{9} + 15 x^{3} + 9 x^{2} + 9 x + 6$	$[10, 0]$	$[1, 2]$
3.12.21.55	$12$	$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{3} + 9 x^{2} + 3$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{3} + 9 x^{2} + 3$	$[10, 0]$	$[1, 2]$
3.12.21.60	$12$	$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{6} + 21 x^{3} + 18 x + 6$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{6} + 21 x^{3} + 18 x + 6$	$[10, 0]$	$[1, 2]$
3.12.21.62	$12$	$x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 3 x^{6} + 15 x^{3} + 9 x + 12$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 3 x^{6} + 15 x^{3} + 9 x + 12$	$[10, 0]$	$[1, 2]$
3.12.21.64	$12$	$x^{12} + 6 x^{10} + 6 x^{6} + 21 x^{3} + 18 x^{2} + 24$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 6 x^{10} + 6 x^{6} + 21 x^{3} + 18 x^{2} + 24$	$[10, 0]$	$[1, 2]$
3.12.21.66	$12$	$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{6} + 9 x^{3} + 18 x^{2} + 12$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{6} + 9 x^{3} + 18 x^{2} + 12$	$[10, 0]$	$[1, 2]$
3.12.21.67	$12$	$x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{6} + 18 x^{3} + 18 x^{2} + 21$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{6} + 18 x^{3} + 18 x^{2} + 21$	$[10, 0]$	$[1, 2]$
3.12.21.69	$12$	$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 18 x + 24$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 18 x + 24$	$[10, 0]$	$[1, 2]$
3.12.21.78	$12$	$x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{6} + 18 x^{3} + 9 x^{2} + 12$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{6} + 18 x^{3} + 9 x^{2} + 12$	$[10, 0]$	$[1, 2]$
3.12.21.85	$12$	$x^{12} + 6 x^{10} + 9 x^{3} + 6$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$6$	$4$	$[9/4]$	$[9/4, 9/4]_{4}^{6}$	$t + 1$	$x^{12} + 6 x^{10} + 9 x^{3} + 6$	$[10, 0]$	$[1, 2]$
3.12.21.90	$12$	$x^{12} + 3 x^{10} + 6 x^{9} + 18 x + 3$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$6$	$4$	$[9/4]$	$[9/4, 9/4]_{4}^{6}$	$t + 1$	$x^{12} + 3 x^{10} + 6 x^{9} + 18 x + 3$	$[10, 0]$	$[1, 2]$
3.12.21.94	$12$	$x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 18 x^{2} + 24$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 18 x^{2} + 24$	$[10, 0]$	$[1, 2]$
3.12.21.95	$12$	$x^{12} + 6 x^{10} + 3 x^{6} + 9 x^{3} + 18 x^{2} + 15$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$6$	$4$	$[9/4]$	$[9/4, 9/4]_{4}^{6}$	$t + 1$	$x^{12} + 6 x^{10} + 3 x^{6} + 9 x^{3} + 18 x^{2} + 15$	$[10, 0]$	$[1, 2]$
3.12.21.96	$12$	$x^{12} + 3 x^{11} + 3 x^{10} + 18 x^{3} + 18 x^{2} + 18 x + 3$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$2$	$4$	$[9/4]$	$[2, 9/4, 9/4]_{4}^{2}$	$t + 1$	$x^{12} + 3 x^{11} + 3 x^{10} + 18 x^{3} + 18 x^{2} + 18 x + 3$	$[10, 0]$	$[1, 2]$
3.12.21.97	$12$	$x^{12} + 3 x^{10} + 6 x^{6} + 9 x^{3} + 12$	$3$	$12$	$1$	$21$	$S_3^2:C_6$ (as 12T121)	$6$	$4$	$[9/4]$	$[9/4, 9/4]_{4}^{6}$	$t + 1$	$x^{12} + 3 x^{10} + 6 x^{6} + 9 x^{3} + 12$	$[10, 0]$	$[1, 2]$