$p$-adic field search results

Results (8 matches)

  Download displayed columns for results to

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
2.1.18.35a1.9	$18$	$x^{18} + 4 x^{13} + 2$	$2$	$1$	$18$	$35$	$C_2^6:C_{18}:C_6$ (as 18T512)	$6$	$9$	$[3]$	$[2]$	$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 3]_{9}^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},2]_{9}^{6}$	$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$	$2$	$t + 1$	$x^{18} + 4 x^{13} + 2$	$[18, 0]$	$[6, 1]$	$z^{16} + z^{14} + 1,z + 1$	$[9, 27]$
2.1.18.35a1.10	$18$	$x^{18} + 4 x^{13} + 10$	$2$	$1$	$18$	$35$	$C_2^6:C_{18}:C_6$ (as 18T512)	$6$	$9$	$[3]$	$[2]$	$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 3]_{9}^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},2]_{9}^{6}$	$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$	$2$	$t + 1$	$x^{18} + 4 x^{13} + 10$	$[18, 0]$	$[6, 1]$	$z^{16} + z^{14} + 1,z + 1$	$[9, 27]$
2.1.18.35a1.11	$18$	$x^{18} + 4 x^{17} + 4 x^{13} + 2$	$2$	$1$	$18$	$35$	$C_2^6:C_{18}:C_6$ (as 18T512)	$6$	$9$	$[3]$	$[2]$	$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 3]_{9}^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},2]_{9}^{6}$	$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$	$2$	$t + 1$	$x^{18} + 4 x^{17} + 4 x^{13} + 2$	$[18, 0]$	$[6, 1]$	$z^{16} + z^{14} + 1,z + 1$	$[9, 27]$
2.1.18.35a1.12	$18$	$x^{18} + 4 x^{17} + 4 x^{13} + 10$	$2$	$1$	$18$	$35$	$C_2^6:C_{18}:C_6$ (as 18T512)	$6$	$9$	$[3]$	$[2]$	$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 3]_{9}^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},2]_{9}^{6}$	$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$	$2$	$t + 1$	$x^{18} + 4 x^{17} + 4 x^{13} + 10$	$[18, 0]$	$[6, 1]$	$z^{16} + z^{14} + 1,z + 1$	$[9, 27]$
2.1.18.35a1.41	$18$	$x^{18} + 4 x^{13} + 4 x^{9} + 2$	$2$	$1$	$18$	$35$	$C_2^6:C_{18}:C_6$ (as 18T512)	$6$	$9$	$[3]$	$[2]$	$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 3]_{9}^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},2]_{9}^{6}$	$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$	$2$	$t + 1$	$x^{18} + 4 x^{13} + 4 x^{9} + 2$	$[18, 0]$	$[6, 1]$	$z^{16} + z^{14} + 1,z + 1$	$[9, 27]$
2.1.18.35a1.42	$18$	$x^{18} + 4 x^{13} + 4 x^{9} + 10$	$2$	$1$	$18$	$35$	$C_2^6:C_{18}:C_6$ (as 18T512)	$6$	$9$	$[3]$	$[2]$	$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 3]_{9}^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},2]_{9}^{6}$	$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$	$2$	$t + 1$	$x^{18} + 4 x^{13} + 4 x^{9} + 10$	$[18, 0]$	$[6, 1]$	$z^{16} + z^{14} + 1,z + 1$	$[9, 27]$
2.1.18.35a1.43	$18$	$x^{18} + 4 x^{17} + 4 x^{13} + 4 x^{9} + 2$	$2$	$1$	$18$	$35$	$C_2^6:C_{18}:C_6$ (as 18T512)	$6$	$9$	$[3]$	$[2]$	$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 3]_{9}^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},2]_{9}^{6}$	$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$	$2$	$t + 1$	$x^{18} + 4 x^{17} + 4 x^{13} + 4 x^{9} + 2$	$[18, 0]$	$[6, 1]$	$z^{16} + z^{14} + 1,z + 1$	$[9, 27]$
2.1.18.35a1.44	$18$	$x^{18} + 4 x^{17} + 4 x^{13} + 4 x^{9} + 10$	$2$	$1$	$18$	$35$	$C_2^6:C_{18}:C_6$ (as 18T512)	$6$	$9$	$[3]$	$[2]$	$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 3]_{9}^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},2]_{9}^{6}$	$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$	$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$	$2$	$t + 1$	$x^{18} + 4 x^{17} + 4 x^{13} + 4 x^{9} + 10$	$[18, 0]$	$[6, 1]$	$z^{16} + z^{14} + 1,z + 1$	$[9, 27]$

  Download displayed columns for results to