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Residue characteristic $p$ Degree $n$ Ramification index $e$ Residue field degree $f$ Discriminant exponent $c$
Mass Ambiguity Field count Wild segments Herbrand invariant
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Results (1-50 of 284 matches)

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Label $p$ $n$ $f$ $e$ $c$ Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass Num. Packets
13.1.1.0a $13$ $1$ $1$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $1$ $1$ $1$ $1$
13.2.1.0a $13$ $2$ $2$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$ $1$
13.1.2.1a $13$ $2$ $1$ $2$ $1$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 13 d_{0}$ $2$ $2$ $1$ $1$
13.3.1.0a $13$ $3$ $3$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $1$ $1$ $1$
13.1.3.2a $13$ $3$ $1$ $3$ $2$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + 13 d_{0}$ $3$ $3$ $1$ $1$
13.4.1.0a $13$ $4$ $4$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $4$ $1$ $1$ $1$
13.2.2.2a $13$ $4$ $2$ $2$ $2$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 13 d_{0}$ $4$ $2$ $1$ $2$
13.1.4.3a $13$ $4$ $1$ $4$ $3$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + 13 d_{0}$ $4$ $4$ $1$ $1$
13.5.1.0a $13$ $5$ $5$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $5$ $1$ $1$ $1$
13.1.5.4a $13$ $5$ $1$ $5$ $4$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + 13$ $1$ $1$ $1$ $1$
13.6.1.0a $13$ $6$ $6$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $6$ $1$ $1$ $1$
13.3.2.3a $13$ $6$ $3$ $2$ $3$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 13 d_{0}$ $6$ $2$ $1$ $1$
13.2.3.4a $13$ $6$ $2$ $3$ $4$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + 13 d_{0}$ $6$ $3$ $1$ $1$
13.1.6.5a $13$ $6$ $1$ $6$ $5$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^6 + 13 d_{0}$ $6$ $6$ $1$ $1$
13.7.1.0a $13$ $7$ $7$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $7$ $1$ $1$ $1$
13.1.7.6a $13$ $7$ $1$ $7$ $6$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^7 + 13$ $1$ $1$ $1$ $1$
13.8.1.0a $13$ $8$ $8$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $8$ $1$ $1$ $1$
13.4.2.4a $13$ $8$ $4$ $2$ $4$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 13 d_{0}$ $8$ $2$ $1$ $2$
13.2.4.6a $13$ $8$ $2$ $4$ $6$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + 13 d_{0}$ $8$ $4$ $1$ $2$
13.1.8.7a $13$ $8$ $1$ $8$ $7$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^8 + 13 d_{0}$ $4$ $4$ $1$ $1$
13.9.1.0a $13$ $9$ $9$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $9$ $1$ $1$ $1$
13.3.3.6a $13$ $9$ $3$ $3$ $6$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + 13 d_{0}$ $9$ $3$ $1$ $2$
13.1.9.8a $13$ $9$ $1$ $9$ $8$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^9 + 13 d_{0}$ $3$ $3$ $1$ $1$
13.10.1.0a $13$ $10$ $10$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $10$ $1$ $1$ $1$
13.5.2.5a $13$ $10$ $5$ $2$ $5$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 13 d_{0}$ $10$ $2$ $1$ $1$
13.2.5.8a $13$ $10$ $2$ $5$ $8$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + 13$ $2$ $1$ $1$ $1$
13.1.10.9a $13$ $10$ $1$ $10$ $9$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{10} + 13 d_{0}$ $2$ $2$ $1$ $1$
13.11.1.0a $13$ $11$ $11$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $11$ $1$ $1$ $1$
13.1.11.10a $13$ $11$ $1$ $11$ $10$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{11} + 13$ $1$ $1$ $1$ $1$
13.12.1.0a $13$ $12$ $12$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $12$ $1$ $1$ $1$
13.6.2.6a $13$ $12$ $6$ $2$ $6$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 13 d_{0}$ $12$ $2$ $1$ $2$
13.4.3.8a $13$ $12$ $4$ $3$ $8$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + 13 d_{0}$ $12$ $3$ $1$ $1$
13.3.4.9a $13$ $12$ $3$ $4$ $9$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + 13 d_{0}$ $12$ $4$ $1$ $1$
13.2.6.10a $13$ $12$ $2$ $6$ $10$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^6 + 13 d_{0}$ $12$ $6$ $1$ $2$
13.1.12.11a $13$ $12$ $1$ $12$ $11$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{12} + 13 d_{0}$ $12$ $12$ $1$ $1$
13.13.1.0a $13$ $13$ $13$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $13$ $1$ $1$ $1$
13.1.13.13a $13$ $13$ $1$ $13$ $13$ $[\frac{13}{12}]$ $[\frac{1}{12}]$ $\langle\frac{1}{13}\rangle$ $(\frac{1}{12})$ $x^{13} + 13 a_{1} x + 13$ $1$ $12$ $12$ $1$
13.1.13.14a $13$ $13$ $1$ $13$ $14$ $[\frac{7}{6}]$ $[\frac{1}{6}]$ $\langle\frac{2}{13}\rangle$ $(\frac{1}{6})$ $x^{13} + 13 a_{2} x^2 + 13$ $1$ $12$ $12$ $2$
13.1.13.15a $13$ $13$ $1$ $13$ $15$ $[\frac{5}{4}]$ $[\frac{1}{4}]$ $\langle\frac{3}{13}\rangle$ $(\frac{1}{4})$ $x^{13} + 13 a_{3} x^3 + 13$ $1$ $12$ $12$ $3$
13.1.13.16a $13$ $13$ $1$ $13$ $16$ $[\frac{4}{3}]$ $[\frac{1}{3}]$ $\langle\frac{4}{13}\rangle$ $(\frac{1}{3})$ $x^{13} + 13 a_{4} x^4 + 13$ $1$ $12$ $12$ $4$
13.1.13.17a $13$ $13$ $1$ $13$ $17$ $[\frac{17}{12}]$ $[\frac{5}{12}]$ $\langle\frac{5}{13}\rangle$ $(\frac{5}{12})$ $x^{13} + 13 a_{5} x^5 + 13$ $1$ $12$ $12$ $1$
13.1.13.18a $13$ $13$ $1$ $13$ $18$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{6}{13}\rangle$ $(\frac{1}{2})$ $x^{13} + 13 a_{6} x^6 + 13$ $1$ $12$ $12$ $6$
13.1.13.19a $13$ $13$ $1$ $13$ $19$ $[\frac{19}{12}]$ $[\frac{7}{12}]$ $\langle\frac{7}{13}\rangle$ $(\frac{7}{12})$ $x^{13} + 13 a_{7} x^7 + 13$ $1$ $12$ $12$ $1$
13.1.13.20a $13$ $13$ $1$ $13$ $20$ $[\frac{5}{3}]$ $[\frac{2}{3}]$ $\langle\frac{8}{13}\rangle$ $(\frac{2}{3})$ $x^{13} + 13 a_{8} x^8 + 13$ $1$ $12$ $12$ $4$
13.1.13.21a $13$ $13$ $1$ $13$ $21$ $[\frac{7}{4}]$ $[\frac{3}{4}]$ $\langle\frac{9}{13}\rangle$ $(\frac{3}{4})$ $x^{13} + 13 a_{9} x^9 + 13$ $1$ $12$ $12$ $3$
13.1.13.22a $13$ $13$ $1$ $13$ $22$ $[\frac{11}{6}]$ $[\frac{5}{6}]$ $\langle\frac{10}{13}\rangle$ $(\frac{5}{6})$ $x^{13} + 13 a_{10} x^{10} + 13$ $1$ $12$ $12$ $2$
13.1.13.23a $13$ $13$ $1$ $13$ $23$ $[\frac{23}{12}]$ $[\frac{11}{12}]$ $\langle\frac{11}{13}\rangle$ $(\frac{11}{12})$ $x^{13} + 13 a_{11} x^{11} + 13$ $1$ $12$ $12$ $1$
13.1.13.24a $13$ $13$ $1$ $13$ $24$ $[2]$ $[1]$ $\langle\frac{12}{13}\rangle$ $(1)$ $x^{13} + 13 a_{12} x^{12} + 169 c_{13} + 13$ $13$ $24$ $12$ $12$
13.1.13.25a $13$ $13$ $1$ $13$ $25$ $[\frac{25}{12}]$ $[\frac{13}{12}]$ $\langle1\rangle$ $(\frac{13}{12})$ $x^{13} + 169 b_{14} x + 13$ $1$ $13$ $13$ $1$
13.14.1.0a $13$ $14$ $14$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $14$ $1$ $1$ $1$
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