pp-adic field search results

Results (6 matches)

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Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Unram. Ext.	Eisen. Poly.	Ind. of Insep.	Assoc. Inertia
11.14.0.1	$14$	$x^{14} + 2 x^{7} + 9 x^{6} + 6 x^{5} + 4 x^{4} + 8 x^{3} + 6 x^{2} + 10 x + 2$	$11$	$1$	$14$	$0$	$C_{14}$ (as 14T1)	$14$	$1$	$[\ ]$	$[\ ]^{14}$	$t^{14} + 2 t^{7} + 9 t^{6} + 6 t^{5} + 4 t^{4} + 8 t^{3} + 6 t^{2} + 10 t + 2$	$x - 11$	$[0]$	$[\ ]$
11.14.7.1	$14$	$x^{14} + 7086244 x^{2} - 175384539$	$11$	$2$	$7$	$7$	$C_{14}$ (as 14T1)	$7$	$2$	$[\ ]$	$[\ ]_{2}^{7}$	$t^{7} + 4 t + 9$	$x^{2} + 11 t$	$[0]$	$[1]$
11.14.7.2	$14$	$x^{14} + 77 x^{12} + 2541 x^{10} + 46593 x^{8} + 18 x^{7} + 511203 x^{6} - 4158 x^{5} + 3382071 x^{4} + 76230 x^{3} + 12550015 x^{2} - 167634 x + 19370300$	$11$	$2$	$7$	$7$	$C_{14}$ (as 14T1)	$7$	$2$	$[\ ]$	$[\ ]_{2}^{7}$	$t^{7} + 4 t + 9$	$x^{2} + 11$	$[0]$	$[1]$
11.14.12.1	$14$	$x^{14} + 49 x^{13} + 1043 x^{12} + 12593 x^{11} + 94409 x^{10} + 451927 x^{9} + 1369193 x^{8} + 2531313 x^{7} + 2738925 x^{6} + 1818103 x^{5} + 871157 x^{4} + 978033 x^{3} + 3155803 x^{2} + 6978181 x + 6677920$	$11$	$7$	$2$	$12$	$(C_7:C_3) \times C_2$ (as 14T5)	$6$	$7$	$[\ ]$	$[\ ]_{7}^{6}$	$t^{2} + 7 t + 2$	$x^{7} + 11$	$[0]$	$[3]$
11.14.13.1	$14$	$x^{14} + 22$	$11$	$14$	$1$	$13$	$(C_7:C_3) \times C_2$ (as 14T5)	$3$	$14$	$[\ ]$	$[\ ]_{14}^{3}$	$t + 9$	$x^{14} + 22$	$[0]$	$[3]$
11.14.13.2	$14$	$x^{14} + 11$	$11$	$14$	$1$	$13$	$(C_7:C_3) \times C_2$ (as 14T5)	$3$	$14$	$[\ ]$	$[\ ]_{14}^{3}$	$t + 9$	$x^{14} + 11$	$[0]$	$[3]$

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