$p$-adic field search results

Results (4 matches)

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Label	$n$	Polynomial	$p$	$f$	$e$	$c$	Galois group	$u$	$t$	Visible Artin slopes	Visible Swan slopes	Artin slope content	Swan slope content	Hidden Artin slopes	Hidden Swan slopes	$\#\Aut(K/\Q_p)$	Unram. Ext.	Eisen. Poly.	Ind. of Insep.	Assoc. Inertia	Resid. Poly	Jump Set
37.1.20.19a1.1	$20$	$x^{20} + 37$	$37$	$1$	$20$	$19$	$C_4\times F_5$ (as 20T20)	$4$	$20$	$[\ ]$	$[\ ]$	$[\ ]_{20}^{4}$	$[\ ]_{20}^{4}$	$[\ ]^{4}$	$[\ ]^{4}$	$4$	$t + 35$	$x^{20} + 37$	$[0]$	$[4]$	$z^{19} + 20 z^{18} + 5 z^{17} + 30 z^{16} + 35 z^{15} + z^{14} + 21 z^{13} + 5 z^{12} + 22 z^{11} + 17 z^{10} + 15 z^9 + 17 z^8 + 22 z^7 + 5 z^6 + 21 z^5 + z^4 + 35 z^3 + 30 z^2 + 5 z + 20$	undefined
37.1.20.19a1.2	$20$	$x^{20} + 74$	$37$	$1$	$20$	$19$	$C_4\times F_5$ (as 20T20)	$4$	$20$	$[\ ]$	$[\ ]$	$[\ ]_{20}^{4}$	$[\ ]_{20}^{4}$	$[\ ]^{4}$	$[\ ]^{4}$	$4$	$t + 35$	$x^{20} + 74$	$[0]$	$[4]$	$z^{19} + 20 z^{18} + 5 z^{17} + 30 z^{16} + 35 z^{15} + z^{14} + 21 z^{13} + 5 z^{12} + 22 z^{11} + 17 z^{10} + 15 z^9 + 17 z^8 + 22 z^7 + 5 z^6 + 21 z^5 + z^4 + 35 z^3 + 30 z^2 + 5 z + 20$	undefined
37.1.20.19a1.3	$20$	$x^{20} + 148$	$37$	$1$	$20$	$19$	$C_4\times F_5$ (as 20T20)	$4$	$20$	$[\ ]$	$[\ ]$	$[\ ]_{20}^{4}$	$[\ ]_{20}^{4}$	$[\ ]^{4}$	$[\ ]^{4}$	$4$	$t + 35$	$x^{20} + 148$	$[0]$	$[4]$	$z^{19} + 20 z^{18} + 5 z^{17} + 30 z^{16} + 35 z^{15} + z^{14} + 21 z^{13} + 5 z^{12} + 22 z^{11} + 17 z^{10} + 15 z^9 + 17 z^8 + 22 z^7 + 5 z^6 + 21 z^5 + z^4 + 35 z^3 + 30 z^2 + 5 z + 20$	undefined
37.1.20.19a1.4	$20$	$x^{20} + 296$	$37$	$1$	$20$	$19$	$C_4\times F_5$ (as 20T20)	$4$	$20$	$[\ ]$	$[\ ]$	$[\ ]_{20}^{4}$	$[\ ]_{20}^{4}$	$[\ ]^{4}$	$[\ ]^{4}$	$4$	$t + 35$	$x^{20} + 296$	$[0]$	$[4]$	$z^{19} + 20 z^{18} + 5 z^{17} + 30 z^{16} + 35 z^{15} + z^{14} + 21 z^{13} + 5 z^{12} + 22 z^{11} + 17 z^{10} + 15 z^9 + 17 z^8 + 22 z^7 + 5 z^6 + 21 z^5 + z^4 + 35 z^3 + 30 z^2 + 5 z + 20$	undefined

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