LMFDB - p-adic field search results

Refine search

Degree	Residue characteristic	Galois group	Galois unramified degree	Assoc. Inertia

Ramification index	Discriminant exponent	Inertia subgroup	Galois tame degree	Indices

Residue field degree	Top slope	Wild	Visible	Wild inertia subgroup

		Sort order	Select

Results (1-50 of 108 matches)

Next Download displayed columns for results to

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Unram. Ext.	Eisen. Poly.	Ind. of Insep.	Assoc. Inertia
3.15.24.1	$15$	$x^{15} + 6 x^{14} + 6 x^{13} + 6 x^{12} + 6 x^{10} + 3 x^{6} + 3 x^{3} + 12$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 6 x^{13} + 6 x^{12} + 6 x^{10} + 3 x^{6} + 3 x^{3} + 12$	$[10, 0]$	$[1, 4]$
3.15.24.10	$15$	$x^{15} + 6 x^{13} + 6 x^{11} + 3 x^{10} + 3 x^{6} + 3 x^{3} + 21$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{13} + 6 x^{11} + 3 x^{10} + 3 x^{6} + 3 x^{3} + 21$	$[10, 0]$	$[2, 4]$
3.15.24.100	$15$	$x^{15} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 21$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 21$	$[10, 0]$	$[1, 4]$
3.15.24.101	$15$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 6 x^{11} + 6 x^{10} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 6 x^{11} + 6 x^{10} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.102	$15$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{6} + 6 x^{3} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{6} + 6 x^{3} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.103	$15$	$x^{15} + 3 x^{14} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{14} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.104	$15$	$x^{15} + 6 x^{13} + 3 x^{12} + 6 x^{11} + 6 x^{10} + 3 x^{9} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{13} + 3 x^{12} + 6 x^{11} + 6 x^{10} + 3 x^{9} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.105	$15$	$x^{15} + 3 x^{14} + 3 x^{12} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 12$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{14} + 3 x^{12} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 12$	$[10, 0]$	$[1, 4]$
3.15.24.106	$15$	$x^{15} + 6 x^{14} + 6 x^{13} + 6 x^{10} + 6 x^{9} + 12$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 6 x^{13} + 6 x^{10} + 6 x^{9} + 12$	$[10, 0]$	$[1, 4]$
3.15.24.107	$15$	$x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 21$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 21$	$[10, 0]$	$[1, 4]$
3.15.24.108	$15$	$x^{15} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 6 x^{3} + 12$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 6 x^{3} + 12$	$[10, 0]$	$[1, 4]$
3.15.24.11	$15$	$x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 6 x^{3} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 6 x^{3} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.12	$15$	$x^{15} + 3 x^{13} + 6 x^{12} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{13} + 6 x^{12} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.13	$15$	$x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{10} + 12$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{10} + 12$	$[10, 0]$	$[1, 4]$
3.15.24.14	$15$	$x^{15} + 6 x^{14} + 6 x^{13} + 6 x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 21$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 6 x^{13} + 6 x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 21$	$[10, 0]$	$[1, 4]$
3.15.24.15	$15$	$x^{15} + 6 x^{13} + 6 x^{12} + 6 x^{10} + 3 x^{6} + 6 x^{3} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{13} + 6 x^{12} + 6 x^{10} + 3 x^{6} + 6 x^{3} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.16	$15$	$x^{15} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.17	$15$	$x^{15} + 6 x^{13} + 3 x^{10} + 6 x^{9} + 3$	$3$	$15$	$1$	$24$	$C_{15} : C_4$ (as 15T6)	$4$	$5$	$[2]$	$[2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{13} + 3 x^{10} + 6 x^{9} + 3$	$[10, 0]$	$[2, 4]$
3.15.24.18	$15$	$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 3 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 21$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 3 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 21$	$[10, 0]$	$[2, 4]$
3.15.24.19	$15$	$x^{15} + 3 x^{11} + 3 x^{10} + 3$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{11} + 3 x^{10} + 3$	$[10, 0]$	$[2, 4]$
3.15.24.2	$15$	$x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$	$[10, 0]$	$[2, 4]$
3.15.24.20	$15$	$x^{15} + 3 x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.21	$15$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{10} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 12$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{10} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 12$	$[10, 0]$	$[2, 4]$
3.15.24.22	$15$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 21$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 21$	$[10, 0]$	$[2, 4]$
3.15.24.23	$15$	$x^{15} + 6 x^{13} + 6 x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 21$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{13} + 6 x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 21$	$[10, 0]$	$[1, 4]$
3.15.24.24	$15$	$x^{15} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 12$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 12$	$[10, 0]$	$[1, 4]$
3.15.24.25	$15$	$x^{15} + 3 x^{13} + 3 x^{12} + 3 x^{10} + 3 x^{9} + 3$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[6/5, 6/5, 6/5, 6/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{13} + 3 x^{12} + 3 x^{10} + 3 x^{9} + 3$	$[10, 0]$	$[2, 4]$
3.15.24.26	$15$	$x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{10} + 3 x^{9} + 3$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{10} + 3 x^{9} + 3$	$[10, 0]$	$[2, 4]$
3.15.24.27	$15$	$x^{15} + 6 x^{13} + 6 x^{12} + 6 x^{10} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{13} + 6 x^{12} + 6 x^{10} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.28	$15$	$x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 21$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 21$	$[10, 0]$	$[2, 4]$
3.15.24.29	$15$	$x^{15} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.3	$15$	$x^{15} + 3 x^{13} + 3 x^{12} + 6 x^{11} + 6 x^{10} + 3 x^{6} + 3 x^{3} + 12$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{13} + 3 x^{12} + 6 x^{11} + 6 x^{10} + 3 x^{6} + 3 x^{3} + 12$	$[10, 0]$	$[1, 4]$
3.15.24.30	$15$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 12$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 12$	$[10, 0]$	$[1, 4]$
3.15.24.31	$15$	$x^{15} + 3 x^{11} + 6 x^{10} + 12$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{11} + 6 x^{10} + 12$	$[10, 0]$	$[1, 4]$
3.15.24.32	$15$	$x^{15} + 3 x^{13} + 6 x^{10} + 3 x^{9} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{13} + 6 x^{10} + 3 x^{9} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.33	$15$	$x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 12$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 12$	$[10, 0]$	$[1, 4]$
3.15.24.34	$15$	$x^{15} + 6 x^{14} + 6 x^{11} + 6 x^{10} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 6 x^{11} + 6 x^{10} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.35	$15$	$x^{15} + 3 x^{13} + 6 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 12$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{13} + 6 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 12$	$[10, 0]$	$[2, 4]$
3.15.24.36	$15$	$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$	$[10, 0]$	$[2, 4]$
3.15.24.37	$15$	$x^{15} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{9} + 12$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{9} + 12$	$[10, 0]$	$[2, 4]$
3.15.24.38	$15$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.39	$15$	$x^{15} + 3 x^{13} + 3 x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[6/5, 6/5, 6/5, 6/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{13} + 3 x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.4	$15$	$x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{11} + 6 x^{10} + 12$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{11} + 6 x^{10} + 12$	$[10, 0]$	$[1, 4]$
3.15.24.40	$15$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{10} + 6 x^{9} + 21$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[6/5, 6/5, 6/5, 6/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{10} + 6 x^{9} + 21$	$[10, 0]$	$[2, 4]$
3.15.24.41	$15$	$x^{15} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$	$[10, 0]$	$[2, 4]$
3.15.24.42	$15$	$x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 6 x^{3} + 21$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 6 x^{3} + 21$	$[10, 0]$	$[1, 4]$
3.15.24.43	$15$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{10} + 3 x^{9} + 12$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{10} + 3 x^{9} + 12$	$[10, 0]$	$[2, 4]$
3.15.24.44	$15$	$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 3 x^{10} + 3$	$3$	$15$	$1$	$24$	$C_3^5:F_5$ (as 15T54)	$4$	$5$	$[2]$	$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 3 x^{10} + 3$	$[10, 0]$	$[2, 4]$
3.15.24.45	$15$	$x^{15} + 3 x^{14} + 3 x^{11} + 6 x^{10} + 3 x^{6} + 3 x^{3} + 3$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 3 x^{14} + 3 x^{11} + 6 x^{10} + 3 x^{6} + 3 x^{3} + 3$	$[10, 0]$	$[1, 4]$
3.15.24.46	$15$	$x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{12} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 21$	$3$	$15$	$1$	$24$	$C_3\wr F_5$ (as 15T56)	$4$	$5$	$[2]$	$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$	$t + 1$	$x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{12} + 6 x^{10} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 21$	$[10, 0]$	$[1, 4]$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 108 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.