Local Number Field Search Results

Degree		Discriminant exponent $c$		Galois group
Prime $p$		Ramification index $e$		Top slope

Results (displaying matches 1-50 of 170)

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
13.13.0.1	x^13 - x + 2	13	1	13	0	$C_{13}$ (as 13T1)	$ [\ ]^{13}$
13.13.13.1	x^13 + 13x + 13	13	13	1	13	$F_{13}$ (as 13T6)	$ [13/12]_{12}$
13.13.13.10	x^13 + 91x + 13	13	13	1	13	$F_{13}$ (as 13T6)	$ [13/12]_{12}$
13.13.13.11	x^13 + 104x + 13	13	13	1	13	$F_{13}$ (as 13T6)	$ [13/12]_{12}$
13.13.13.12	x^13 + 143x + 13	13	13	1	13	$F_{13}$ (as 13T6)	$ [13/12]_{12}$
13.13.13.2	x^13 + 39x + 13	13	13	1	13	$F_{13}$ (as 13T6)	$ [13/12]_{12}$
13.13.13.3	x^13 + 52x + 13	13	13	1	13	$F_{13}$ (as 13T6)	$ [13/12]_{12}$
13.13.13.4	x^13 + 117x + 13	13	13	1	13	$F_{13}$ (as 13T6)	$ [13/12]_{12}$
13.13.13.5	x^13 + 130x + 13	13	13	1	13	$F_{13}$ (as 13T6)	$ [13/12]_{12}$
13.13.13.6	x^13 + 156x + 13	13	13	1	13	$F_{13}$ (as 13T6)	$ [13/12]_{12}$
13.13.13.7	x^13 + 26x + 13	13	13	1	13	$F_{13}$ (as 13T6)	$ [13/12]_{12}$
13.13.13.8	x^13 + 65x + 13	13	13	1	13	$F_{13}$ (as 13T6)	$ [13/12]_{12}$
13.13.13.9	x^13 + 78x + 13	13	13	1	13	$F_{13}$ (as 13T6)	$ [13/12]_{12}$
13.13.14.1	x^13 + 26x^2 + 13	13	13	1	14	$C_{13}:C_6$ (as 13T5)	$ [7/6]_{6}$
13.13.14.10	x^13 + 117x^2 + 13	13	13	1	14	$F_{13}$ (as 13T6)	$ [7/6]_{6}^{2}$
13.13.14.11	x^13 + 130x^2 + 13	13	13	1	14	$F_{13}$ (as 13T6)	$ [7/6]_{6}^{2}$
13.13.14.12	x^13 + 156x^2 + 13	13	13	1	14	$F_{13}$ (as 13T6)	$ [7/6]_{6}^{2}$
13.13.14.2	x^13 + 65x^2 + 13	13	13	1	14	$C_{13}:C_6$ (as 13T5)	$ [7/6]_{6}$
13.13.14.3	x^13 + 78x^2 + 13	13	13	1	14	$C_{13}:C_6$ (as 13T5)	$ [7/6]_{6}$
13.13.14.4	x^13 + 91x^2 + 13	13	13	1	14	$C_{13}:C_6$ (as 13T5)	$ [7/6]_{6}$
13.13.14.5	x^13 + 104x^2 + 13	13	13	1	14	$C_{13}:C_6$ (as 13T5)	$ [7/6]_{6}$
13.13.14.6	x^13 + 143x^2 + 13	13	13	1	14	$C_{13}:C_6$ (as 13T5)	$ [7/6]_{6}$
13.13.14.7	x^13 + 13x^2 + 13	13	13	1	14	$F_{13}$ (as 13T6)	$ [7/6]_{6}^{2}$
13.13.14.8	x^13 + 39x^2 + 13	13	13	1	14	$F_{13}$ (as 13T6)	$ [7/6]_{6}^{2}$
13.13.14.9	x^13 + 52x^2 + 13	13	13	1	14	$F_{13}$ (as 13T6)	$ [7/6]_{6}^{2}$
13.13.15.1	x^13 + 52x^3 + 13	13	13	1	15	$C_{13}:C_4$ (as 13T4)	$ [5/4]_{4}$
13.13.15.10	x^13 + 65x^3 + 13	13	13	1	15	$F_{13}$ (as 13T6)	$ [5/4]_{4}^{3}$
13.13.15.11	x^13 + 104x^3 + 13	13	13	1	15	$F_{13}$ (as 13T6)	$ [5/4]_{4}^{3}$
13.13.15.12	x^13 + 143x^3 + 13	13	13	1	15	$F_{13}$ (as 13T6)	$ [5/4]_{4}^{3}$
13.13.15.2	x^13 + 117x^3 + 13	13	13	1	15	$C_{13}:C_4$ (as 13T4)	$ [5/4]_{4}$
13.13.15.3	x^13 + 13x^3 + 13	13	13	1	15	$F_{13}$ (as 13T6)	$ [5/4]_{4}^{3}$
13.13.15.4	x^13 + 39x^3 + 13	13	13	1	15	$F_{13}$ (as 13T6)	$ [5/4]_{4}^{3}$
13.13.15.5	x^13 + 130x^3 + 13	13	13	1	15	$F_{13}$ (as 13T6)	$ [5/4]_{4}^{3}$
13.13.15.6	x^13 + 156x^3 + 13	13	13	1	15	$F_{13}$ (as 13T6)	$ [5/4]_{4}^{3}$
13.13.15.7	x^13 + 78x^3 + 13	13	13	1	15	$C_{13}:C_4$ (as 13T4)	$ [5/4]_{4}$
13.13.15.8	x^13 + 91x^3 + 13	13	13	1	15	$C_{13}:C_4$ (as 13T4)	$ [5/4]_{4}$
13.13.15.9	x^13 + 26x^3 + 13	13	13	1	15	$F_{13}$ (as 13T6)	$ [5/4]_{4}^{3}$
13.13.16.1	x^13 + 52x^4 + 13	13	13	1	16	$C_{13}:C_3$ (as 13T3)	$ [4/3]_{3}$
13.13.16.10	x^13 + 91x^4 + 13	13	13	1	16	$F_{13}$ (as 13T6)	$ [4/3]_{3}^{4}$
13.13.16.11	x^13 + 104x^4 + 13	13	13	1	16	$F_{13}$ (as 13T6)	$ [4/3]_{3}^{4}$
13.13.16.12	x^13 + 143x^4 + 13	13	13	1	16	$F_{13}$ (as 13T6)	$ [4/3]_{3}^{4}$
13.13.16.2	x^13 + 130x^4 + 13	13	13	1	16	$C_{13}:C_3$ (as 13T3)	$ [4/3]_{3}$
13.13.16.3	x^13 + 156x^4 + 13	13	13	1	16	$C_{13}:C_3$ (as 13T3)	$ [4/3]_{3}$
13.13.16.4	x^13 + 13x^4 + 13	13	13	1	16	$C_{13}:C_6$ (as 13T5)	$ [4/3]_{3}^{2}$
13.13.16.5	x^13 + 39x^4 + 13	13	13	1	16	$C_{13}:C_6$ (as 13T5)	$ [4/3]_{3}^{2}$
13.13.16.6	x^13 + 117x^4 + 13	13	13	1	16	$C_{13}:C_6$ (as 13T5)	$ [4/3]_{3}^{2}$
13.13.16.7	x^13 + 26x^4 + 13	13	13	1	16	$F_{13}$ (as 13T6)	$ [4/3]_{3}^{4}$
13.13.16.8	x^13 + 65x^4 + 13	13	13	1	16	$F_{13}$ (as 13T6)	$ [4/3]_{3}^{4}$
13.13.16.9	x^13 + 78x^4 + 13	13	13	1	16	$F_{13}$ (as 13T6)	$ [4/3]_{3}^{4}$
13.13.17.1	x^13 + 26x^5 + 13	13	13	1	17	$F_{13}$ (as 13T6)	$ [17/12]_{12}$