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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

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Results (1-50 of 122 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
11.11.0.1	$11$	$x^{11} + 10 x + 9$	$11$	$1$	$11$	$0$	$C_{11}$ (as 11T1)	$11$	$1$	$[\ ]$	$[\ ]^{11}$	$t^{11} + 10 t + 9$	$x - 11$	$[0]$	$[\ ]$
11.11.11.1	$11$	$x^{11} + 110 x + 11$	$11$	$11$	$1$	$11$	$F_{11}$ (as 11T4)	$1$	$10$	$[11/10]$	$[11/10]_{10}$	$t + 9$	$x^{11} + 110 x + 11$	$[1, 0]$	$[1]$
11.11.11.2	$11$	$x^{11} + 88 x + 11$	$11$	$11$	$1$	$11$	$F_{11}$ (as 11T4)	$1$	$10$	$[11/10]$	$[11/10]_{10}$	$t + 9$	$x^{11} + 88 x + 11$	$[1, 0]$	$[1]$
11.11.11.3	$11$	$x^{11} + 66 x + 11$	$11$	$11$	$1$	$11$	$F_{11}$ (as 11T4)	$1$	$10$	$[11/10]$	$[11/10]_{10}$	$t + 9$	$x^{11} + 66 x + 11$	$[1, 0]$	$[1]$
11.11.11.4	$11$	$x^{11} + 77 x + 11$	$11$	$11$	$1$	$11$	$F_{11}$ (as 11T4)	$1$	$10$	$[11/10]$	$[11/10]_{10}$	$t + 9$	$x^{11} + 77 x + 11$	$[1, 0]$	$[1]$
11.11.11.5	$11$	$x^{11} + 22 x + 11$	$11$	$11$	$1$	$11$	$F_{11}$ (as 11T4)	$1$	$10$	$[11/10]$	$[11/10]_{10}$	$t + 9$	$x^{11} + 22 x + 11$	$[1, 0]$	$[1]$
11.11.11.6	$11$	$x^{11} + 11 x + 11$	$11$	$11$	$1$	$11$	$F_{11}$ (as 11T4)	$1$	$10$	$[11/10]$	$[11/10]_{10}$	$t + 9$	$x^{11} + 11 x + 11$	$[1, 0]$	$[1]$
11.11.11.7	$11$	$x^{11} + 44 x + 11$	$11$	$11$	$1$	$11$	$F_{11}$ (as 11T4)	$1$	$10$	$[11/10]$	$[11/10]_{10}$	$t + 9$	$x^{11} + 44 x + 11$	$[1, 0]$	$[1]$
11.11.11.8	$11$	$x^{11} + 55 x + 11$	$11$	$11$	$1$	$11$	$F_{11}$ (as 11T4)	$1$	$10$	$[11/10]$	$[11/10]_{10}$	$t + 9$	$x^{11} + 55 x + 11$	$[1, 0]$	$[1]$
11.11.11.9	$11$	$x^{11} + 99 x + 11$	$11$	$11$	$1$	$11$	$F_{11}$ (as 11T4)	$1$	$10$	$[11/10]$	$[11/10]_{10}$	$t + 9$	$x^{11} + 99 x + 11$	$[1, 0]$	$[1]$
11.11.11.10	$11$	$x^{11} + 33 x + 11$	$11$	$11$	$1$	$11$	$F_{11}$ (as 11T4)	$1$	$10$	$[11/10]$	$[11/10]_{10}$	$t + 9$	$x^{11} + 33 x + 11$	$[1, 0]$	$[1]$
11.11.12.1	$11$	$x^{11} + 88 x^{2} + 11$	$11$	$11$	$1$	$12$	$C_{11}:C_5$ (as 11T3)	$1$	$5$	$[6/5]$	$[6/5]_{5}$	$t + 9$	$x^{11} + 88 x^{2} + 11$	$[2, 0]$	$[1]$
11.11.12.2	$11$	$x^{11} + 22 x^{2} + 11$	$11$	$11$	$1$	$12$	$C_{11}:C_5$ (as 11T3)	$1$	$5$	$[6/5]$	$[6/5]_{5}$	$t + 9$	$x^{11} + 22 x^{2} + 11$	$[2, 0]$	$[1]$
11.11.12.3	$11$	$x^{11} + 77 x^{2} + 11$	$11$	$11$	$1$	$12$	$C_{11}:C_5$ (as 11T3)	$1$	$5$	$[6/5]$	$[6/5]_{5}$	$t + 9$	$x^{11} + 77 x^{2} + 11$	$[2, 0]$	$[1]$
11.11.12.4	$11$	$x^{11} + 110 x^{2} + 11$	$11$	$11$	$1$	$12$	$C_{11}:C_5$ (as 11T3)	$1$	$5$	$[6/5]$	$[6/5]_{5}$	$t + 9$	$x^{11} + 110 x^{2} + 11$	$[2, 0]$	$[1]$
11.11.12.5	$11$	$x^{11} + 66 x^{2} + 11$	$11$	$11$	$1$	$12$	$C_{11}:C_5$ (as 11T3)	$1$	$5$	$[6/5]$	$[6/5]_{5}$	$t + 9$	$x^{11} + 66 x^{2} + 11$	$[2, 0]$	$[1]$
11.11.12.6	$11$	$x^{11} + 33 x^{2} + 11$	$11$	$11$	$1$	$12$	$F_{11}$ (as 11T4)	$2$	$5$	$[6/5]$	$[6/5]_{5}^{2}$	$t + 9$	$x^{11} + 33 x^{2} + 11$	$[2, 0]$	$[2]$
11.11.12.7	$11$	$x^{11} + 11 x^{2} + 11$	$11$	$11$	$1$	$12$	$F_{11}$ (as 11T4)	$2$	$5$	$[6/5]$	$[6/5]_{5}^{2}$	$t + 9$	$x^{11} + 11 x^{2} + 11$	$[2, 0]$	$[2]$
11.11.12.8	$11$	$x^{11} + 44 x^{2} + 11$	$11$	$11$	$1$	$12$	$F_{11}$ (as 11T4)	$2$	$5$	$[6/5]$	$[6/5]_{5}^{2}$	$t + 9$	$x^{11} + 44 x^{2} + 11$	$[2, 0]$	$[2]$
11.11.12.9	$11$	$x^{11} + 99 x^{2} + 11$	$11$	$11$	$1$	$12$	$F_{11}$ (as 11T4)	$2$	$5$	$[6/5]$	$[6/5]_{5}^{2}$	$t + 9$	$x^{11} + 99 x^{2} + 11$	$[2, 0]$	$[2]$
11.11.12.10	$11$	$x^{11} + 55 x^{2} + 11$	$11$	$11$	$1$	$12$	$F_{11}$ (as 11T4)	$2$	$5$	$[6/5]$	$[6/5]_{5}^{2}$	$t + 9$	$x^{11} + 55 x^{2} + 11$	$[2, 0]$	$[2]$
11.11.13.1	$11$	$x^{11} + 22 x^{3} + 11$	$11$	$11$	$1$	$13$	$F_{11}$ (as 11T4)	$1$	$10$	$[13/10]$	$[13/10]_{10}$	$t + 9$	$x^{11} + 22 x^{3} + 11$	$[3, 0]$	$[1]$
11.11.13.2	$11$	$x^{11} + 88 x^{3} + 11$	$11$	$11$	$1$	$13$	$F_{11}$ (as 11T4)	$1$	$10$	$[13/10]$	$[13/10]_{10}$	$t + 9$	$x^{11} + 88 x^{3} + 11$	$[3, 0]$	$[1]$
11.11.13.3	$11$	$x^{11} + 66 x^{3} + 11$	$11$	$11$	$1$	$13$	$F_{11}$ (as 11T4)	$1$	$10$	$[13/10]$	$[13/10]_{10}$	$t + 9$	$x^{11} + 66 x^{3} + 11$	$[3, 0]$	$[1]$
11.11.13.4	$11$	$x^{11} + 77 x^{3} + 11$	$11$	$11$	$1$	$13$	$F_{11}$ (as 11T4)	$1$	$10$	$[13/10]$	$[13/10]_{10}$	$t + 9$	$x^{11} + 77 x^{3} + 11$	$[3, 0]$	$[1]$
11.11.13.5	$11$	$x^{11} + 110 x^{3} + 11$	$11$	$11$	$1$	$13$	$F_{11}$ (as 11T4)	$1$	$10$	$[13/10]$	$[13/10]_{10}$	$t + 9$	$x^{11} + 110 x^{3} + 11$	$[3, 0]$	$[1]$
11.11.13.6	$11$	$x^{11} + 44 x^{3} + 11$	$11$	$11$	$1$	$13$	$F_{11}$ (as 11T4)	$1$	$10$	$[13/10]$	$[13/10]_{10}$	$t + 9$	$x^{11} + 44 x^{3} + 11$	$[3, 0]$	$[1]$
11.11.13.7	$11$	$x^{11} + 33 x^{3} + 11$	$11$	$11$	$1$	$13$	$F_{11}$ (as 11T4)	$1$	$10$	$[13/10]$	$[13/10]_{10}$	$t + 9$	$x^{11} + 33 x^{3} + 11$	$[3, 0]$	$[1]$
11.11.13.8	$11$	$x^{11} + 55 x^{3} + 11$	$11$	$11$	$1$	$13$	$F_{11}$ (as 11T4)	$1$	$10$	$[13/10]$	$[13/10]_{10}$	$t + 9$	$x^{11} + 55 x^{3} + 11$	$[3, 0]$	$[1]$
11.11.13.9	$11$	$x^{11} + 11 x^{3} + 11$	$11$	$11$	$1$	$13$	$F_{11}$ (as 11T4)	$1$	$10$	$[13/10]$	$[13/10]_{10}$	$t + 9$	$x^{11} + 11 x^{3} + 11$	$[3, 0]$	$[1]$
11.11.13.10	$11$	$x^{11} + 99 x^{3} + 11$	$11$	$11$	$1$	$13$	$F_{11}$ (as 11T4)	$1$	$10$	$[13/10]$	$[13/10]_{10}$	$t + 9$	$x^{11} + 99 x^{3} + 11$	$[3, 0]$	$[1]$
11.11.14.1	$11$	$x^{11} + 33 x^{4} + 11$	$11$	$11$	$1$	$14$	$C_{11}:C_5$ (as 11T3)	$1$	$5$	$[7/5]$	$[7/5]_{5}$	$t + 9$	$x^{11} + 33 x^{4} + 11$	$[4, 0]$	$[1]$
11.11.14.2	$11$	$x^{11} + 55 x^{4} + 11$	$11$	$11$	$1$	$14$	$C_{11}:C_5$ (as 11T3)	$1$	$5$	$[7/5]$	$[7/5]_{5}$	$t + 9$	$x^{11} + 55 x^{4} + 11$	$[4, 0]$	$[1]$
11.11.14.3	$11$	$x^{11} + 11 x^{4} + 11$	$11$	$11$	$1$	$14$	$C_{11}:C_5$ (as 11T3)	$1$	$5$	$[7/5]$	$[7/5]_{5}$	$t + 9$	$x^{11} + 11 x^{4} + 11$	$[4, 0]$	$[1]$
11.11.14.4	$11$	$x^{11} + 44 x^{4} + 11$	$11$	$11$	$1$	$14$	$C_{11}:C_5$ (as 11T3)	$1$	$5$	$[7/5]$	$[7/5]_{5}$	$t + 9$	$x^{11} + 44 x^{4} + 11$	$[4, 0]$	$[1]$
11.11.14.5	$11$	$x^{11} + 99 x^{4} + 11$	$11$	$11$	$1$	$14$	$C_{11}:C_5$ (as 11T3)	$1$	$5$	$[7/5]$	$[7/5]_{5}$	$t + 9$	$x^{11} + 99 x^{4} + 11$	$[4, 0]$	$[1]$
11.11.14.6	$11$	$x^{11} + 66 x^{4} + 11$	$11$	$11$	$1$	$14$	$F_{11}$ (as 11T4)	$2$	$5$	$[7/5]$	$[7/5]_{5}^{2}$	$t + 9$	$x^{11} + 66 x^{4} + 11$	$[4, 0]$	$[2]$
11.11.14.7	$11$	$x^{11} + 110 x^{4} + 11$	$11$	$11$	$1$	$14$	$F_{11}$ (as 11T4)	$2$	$5$	$[7/5]$	$[7/5]_{5}^{2}$	$t + 9$	$x^{11} + 110 x^{4} + 11$	$[4, 0]$	$[2]$
11.11.14.8	$11$	$x^{11} + 77 x^{4} + 11$	$11$	$11$	$1$	$14$	$F_{11}$ (as 11T4)	$2$	$5$	$[7/5]$	$[7/5]_{5}^{2}$	$t + 9$	$x^{11} + 77 x^{4} + 11$	$[4, 0]$	$[2]$
11.11.14.9	$11$	$x^{11} + 88 x^{4} + 11$	$11$	$11$	$1$	$14$	$F_{11}$ (as 11T4)	$2$	$5$	$[7/5]$	$[7/5]_{5}^{2}$	$t + 9$	$x^{11} + 88 x^{4} + 11$	$[4, 0]$	$[2]$
11.11.14.10	$11$	$x^{11} + 22 x^{4} + 11$	$11$	$11$	$1$	$14$	$F_{11}$ (as 11T4)	$2$	$5$	$[7/5]$	$[7/5]_{5}^{2}$	$t + 9$	$x^{11} + 22 x^{4} + 11$	$[4, 0]$	$[2]$
11.11.15.1	$11$	$x^{11} + 22 x^{5} + 11$	$11$	$11$	$1$	$15$	$D_{11}$ (as 11T2)	$1$	$2$	$[3/2]$	$[3/2]_{2}$	$t + 9$	$x^{11} + 22 x^{5} + 11$	$[5, 0]$	$[1]$
11.11.15.2	$11$	$x^{11} + 88 x^{5} + 11$	$11$	$11$	$1$	$15$	$F_{11}$ (as 11T4)	$5$	$2$	$[3/2]$	$[3/2]_{2}^{5}$	$t + 9$	$x^{11} + 88 x^{5} + 11$	$[5, 0]$	$[5]$
11.11.15.3	$11$	$x^{11} + 110 x^{5} + 11$	$11$	$11$	$1$	$15$	$F_{11}$ (as 11T4)	$5$	$2$	$[3/2]$	$[3/2]_{2}^{5}$	$t + 9$	$x^{11} + 110 x^{5} + 11$	$[5, 0]$	$[5]$
11.11.15.4	$11$	$x^{11} + 77 x^{5} + 11$	$11$	$11$	$1$	$15$	$F_{11}$ (as 11T4)	$5$	$2$	$[3/2]$	$[3/2]_{2}^{5}$	$t + 9$	$x^{11} + 77 x^{5} + 11$	$[5, 0]$	$[5]$
11.11.15.5	$11$	$x^{11} + 66 x^{5} + 11$	$11$	$11$	$1$	$15$	$F_{11}$ (as 11T4)	$5$	$2$	$[3/2]$	$[3/2]_{2}^{5}$	$t + 9$	$x^{11} + 66 x^{5} + 11$	$[5, 0]$	$[5]$
11.11.15.6	$11$	$x^{11} + 99 x^{5} + 11$	$11$	$11$	$1$	$15$	$D_{11}$ (as 11T2)	$1$	$2$	$[3/2]$	$[3/2]_{2}$	$t + 9$	$x^{11} + 99 x^{5} + 11$	$[5, 0]$	$[1]$
11.11.15.7	$11$	$x^{11} + 11 x^{5} + 11$	$11$	$11$	$1$	$15$	$F_{11}$ (as 11T4)	$5$	$2$	$[3/2]$	$[3/2]_{2}^{5}$	$t + 9$	$x^{11} + 11 x^{5} + 11$	$[5, 0]$	$[5]$
11.11.15.8	$11$	$x^{11} + 33 x^{5} + 11$	$11$	$11$	$1$	$15$	$F_{11}$ (as 11T4)	$5$	$2$	$[3/2]$	$[3/2]_{2}^{5}$	$t + 9$	$x^{11} + 33 x^{5} + 11$	$[5, 0]$	$[5]$
11.11.15.9	$11$	$x^{11} + 44 x^{5} + 11$	$11$	$11$	$1$	$15$	$F_{11}$ (as 11T4)	$5$	$2$	$[3/2]$	$[3/2]_{2}^{5}$	$t + 9$	$x^{11} + 44 x^{5} + 11$	$[5, 0]$	$[5]$

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