$p$-adic field search results

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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
2.1.14.20a1.7	$14$	$x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{7} + 2$	$2$	$1$	$14$	$20$	$C_2\wr C_7:C_3$ (as 14T44)	$3$	$7$	$[2]$	$[1]$	$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{10}{7}, \frac{10}{7}, \frac{10}{7}, 2]_{7}^{3}$	$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{7},\frac{3}{7},\frac{3}{7},1]_{7}^{3}$	$[\frac{8}{7},\frac{8}{7},\frac{8}{7},\frac{10}{7},\frac{10}{7},\frac{10}{7}]^{3}$	$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{7},\frac{3}{7},\frac{3}{7}]^{3}$	$2$	$t + 1$	$x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{7} + 2$	$[7, 0]$	$[3, 1]$	$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$	$[7, 25]$
2.1.14.20a1.8	$14$	$x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{7} + 6$	$2$	$1$	$14$	$20$	$C_2\wr C_7:C_3$ (as 14T44)	$3$	$7$	$[2]$	$[1]$	$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{10}{7}, \frac{10}{7}, \frac{10}{7}, 2]_{7}^{3}$	$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{7},\frac{3}{7},\frac{3}{7},1]_{7}^{3}$	$[\frac{8}{7},\frac{8}{7},\frac{8}{7},\frac{10}{7},\frac{10}{7},\frac{10}{7}]^{3}$	$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{7},\frac{3}{7},\frac{3}{7}]^{3}$	$2$	$t + 1$	$x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{7} + 6$	$[7, 0]$	$[3, 1]$	$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$	$[7, 25]$
2.1.14.20a1.9	$14$	$x^{14} + 2 x^{9} + 2 x^{7} + 2$	$2$	$1$	$14$	$20$	$C_2\wr C_7:C_3$ (as 14T44)	$3$	$7$	$[2]$	$[1]$	$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{12}{7}, \frac{12}{7}, \frac{12}{7}, 2]_{7}^{3}$	$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7},1]_{7}^{3}$	$[\frac{8}{7},\frac{8}{7},\frac{8}{7},\frac{12}{7},\frac{12}{7},\frac{12}{7}]^{3}$	$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7}]^{3}$	$2$	$t + 1$	$x^{14} + 2 x^{9} + 2 x^{7} + 2$	$[7, 0]$	$[3, 1]$	$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$	$[7, 23]$
2.1.14.20a1.10	$14$	$x^{14} + 2 x^{9} + 2 x^{7} + 6$	$2$	$1$	$14$	$20$	$C_2\wr C_7:C_3$ (as 14T44)	$3$	$7$	$[2]$	$[1]$	$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{12}{7}, \frac{12}{7}, \frac{12}{7}, 2]_{7}^{3}$	$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7},1]_{7}^{3}$	$[\frac{8}{7},\frac{8}{7},\frac{8}{7},\frac{12}{7},\frac{12}{7},\frac{12}{7}]^{3}$	$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7}]^{3}$	$2$	$t + 1$	$x^{14} + 2 x^{9} + 2 x^{7} + 6$	$[7, 0]$	$[3, 1]$	$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$	$[7, 23]$
2.1.14.20a1.13	$14$	$x^{14} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2$	$2$	$1$	$14$	$20$	$C_2\wr C_7:C_3$ (as 14T44)	$3$	$7$	$[2]$	$[1]$	$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{12}{7}, \frac{12}{7}, \frac{12}{7}, 2]_{7}^{3}$	$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7},1]_{7}^{3}$	$[\frac{8}{7},\frac{8}{7},\frac{8}{7},\frac{12}{7},\frac{12}{7},\frac{12}{7}]^{3}$	$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7}]^{3}$	$2$	$t + 1$	$x^{14} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2$	$[7, 0]$	$[3, 1]$	$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$	$[7, 23]$
2.1.14.20a1.14	$14$	$x^{14} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 6$	$2$	$1$	$14$	$20$	$C_2\wr C_7:C_3$ (as 14T44)	$3$	$7$	$[2]$	$[1]$	$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{12}{7}, \frac{12}{7}, \frac{12}{7}, 2]_{7}^{3}$	$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7},1]_{7}^{3}$	$[\frac{8}{7},\frac{8}{7},\frac{8}{7},\frac{12}{7},\frac{12}{7},\frac{12}{7}]^{3}$	$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7}]^{3}$	$2$	$t + 1$	$x^{14} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 6$	$[7, 0]$	$[3, 1]$	$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$	$[7, 23]$

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