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Residue characteristic $p$ Rel. degree $n$ Rel. ram. index $e$ Rel. res. field degree $f$ Rel. disc. exponent $c$
Base Base degree $n_0$ Base ram. index $e_0$ Base res. field degree $f_0$ Base disc. exponent $c_0$
Herbrand invariant Abs. degree $n_{\mathrm{abs}}$ Abs. ram. index $e_{\mathrm{abs}}$ Abs. res. field degree $f_{\mathrm{abs}}$ Abs. disc. exponent $c_{\mathrm{abs}}$
Mass Absolute mass Ambiguity Field count Wild segments
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Results (25 matches)

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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
3.1.8.7a1.1-2.1.0a $3$ $2$ $2$ $1$ $0$ 3.1.8.7a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
3.1.8.7a1.1-1.2.1a $3$ $2$ $1$ $2$ $1$ 3.1.8.7a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $1$ $1$
3.1.8.7a1.1-3.1.0a $3$ $3$ $3$ $1$ $0$ 3.1.8.7a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $0$ $1$
3.1.8.7a1.1-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.1.8.7a1.1 $[\frac{17}{16}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $2$
3.1.8.7a1.1-1.3.4a $3$ $3$ $1$ $3$ $4$ 3.1.8.7a1.1 $[\frac{9}{8}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $3$ $0$ $2$
3.1.8.7a1.1-1.3.6a $3$ $3$ $1$ $3$ $6$ 3.1.8.7a1.1 $[\frac{5}{4}]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $3$ $0$ $6$
3.1.8.7a1.1-1.3.7a $3$ $3$ $1$ $3$ $7$ 3.1.8.7a1.1 $[\frac{21}{16}]$ $[\frac{5}{2}]$ $\langle\frac{5}{3}\rangle$ $(\frac{5}{2})$ $x^3 + a_{5} \pi^2 x^2 + b_{7} \pi^3 x + \pi$ $1$ $0$ $6$
3.1.8.7a1.1-1.3.9a $3$ $3$ $1$ $3$ $9$ 3.1.8.7a1.1 $[\frac{23}{16}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(\frac{7}{2})$ $x^3 + b_{8} \pi^3 x^2 + (b_{10} \pi^4 + a_{7} \pi^3) x + \pi$ $1$ $0$ $18$
3.1.8.7a1.1-1.3.10a $3$ $3$ $1$ $3$ $10$ 3.1.8.7a1.1 $[\frac{3}{2}]$ $[4]$ $\langle\frac{8}{3}\rangle$ $(4)$ $x^3 + (b_{11} \pi^4 + a_{8} \pi^3) x^2 + b_{10} \pi^4 x + c_{12} \pi^5 + \pi$ $3$ $0$ $18$
3.1.8.7a1.1-1.3.12a $3$ $3$ $1$ $3$ $12$ 3.1.8.7a1.1 $[\frac{13}{8}]$ $[5]$ $\langle\frac{10}{3}\rangle$ $(5)$ $x^3 + (b_{14} \pi^5 + b_{11} \pi^4) x^2 + (b_{13} \pi^5 + a_{10} \pi^4) x + c_{15} \pi^6 + \pi$ $3$ $0$ $54$
3.1.8.7a1.1-1.3.13a $3$ $3$ $1$ $3$ $13$ 3.1.8.7a1.1 $[\frac{27}{16}]$ $[\frac{11}{2}]$ $\langle\frac{11}{3}\rangle$ $(\frac{11}{2})$ $x^3 + (b_{14} \pi^5 + a_{11} \pi^4) x^2 + (b_{16} \pi^6 + b_{13} \pi^5) x + \pi$ $1$ $0$ $54$
3.1.8.7a1.1-1.3.15a $3$ $3$ $1$ $3$ $15$ 3.1.8.7a1.1 $[\frac{29}{16}]$ $[\frac{13}{2}]$ $\langle\frac{13}{3}\rangle$ $(\frac{13}{2})$ $x^3 + (b_{17} \pi^6 + b_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6 + a_{13} \pi^5) x + \pi$ $1$ $0$ $162$
3.1.8.7a1.1-1.3.16a $3$ $3$ $1$ $3$ $16$ 3.1.8.7a1.1 $[\frac{15}{8}]$ $[7]$ $\langle\frac{14}{3}\rangle$ $(7)$ $x^3 + (b_{20} \pi^7 + b_{17} \pi^6 + a_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6) x + c_{21} \pi^8 + \pi$ $3$ $0$ $162$
3.1.8.7a1.1-1.3.18a $3$ $3$ $1$ $3$ $18$ 3.1.8.7a1.1 $[2]$ $[8]$ $\langle\frac{16}{3}\rangle$ $(8)$ $x^3 + (b_{23} \pi^8 + b_{20} \pi^7 + b_{17} \pi^6) x^2 + (b_{22} \pi^8 + b_{19} \pi^7 + a_{16} \pi^6) x + c_{24} \pi^9 + \pi$ $3$ $0$ $486$
3.1.8.7a1.1-1.3.19a $3$ $3$ $1$ $3$ $19$ 3.1.8.7a1.1 $[\frac{33}{16}]$ $[\frac{17}{2}]$ $\langle\frac{17}{3}\rangle$ $(\frac{17}{2})$ $x^3 + (b_{23} \pi^8 + b_{20} \pi^7 + a_{17} \pi^6) x^2 + (b_{25} \pi^9 + b_{22} \pi^8 + b_{19} \pi^7) x + \pi$ $1$ $0$ $486$
3.1.8.7a1.1-1.3.21a $3$ $3$ $1$ $3$ $21$ 3.1.8.7a1.1 $[\frac{35}{16}]$ $[\frac{19}{2}]$ $\langle\frac{19}{3}\rangle$ $(\frac{19}{2})$ $x^3 + (b_{26} \pi^9 + b_{23} \pi^8 + b_{20} \pi^7) x^2 + (b_{28} \pi^{10} + b_{25} \pi^9 + b_{22} \pi^8 + a_{19} \pi^7) x + \pi$ $1$ $0$ $1458$
3.1.8.7a1.1-1.3.22a $3$ $3$ $1$ $3$ $22$ 3.1.8.7a1.1 $[\frac{9}{4}]$ $[10]$ $\langle\frac{20}{3}\rangle$ $(10)$ $x^3 + (b_{29} \pi^{10} + b_{26} \pi^9 + b_{23} \pi^8 + a_{20} \pi^7) x^2 + (b_{28} \pi^{10} + b_{25} \pi^9 + b_{22} \pi^8) x + c_{30} \pi^{11} + \pi$ $3$ $0$ $1458$
3.1.8.7a1.1-1.3.24a $3$ $3$ $1$ $3$ $24$ 3.1.8.7a1.1 $[\frac{19}{8}]$ $[11]$ $\langle\frac{22}{3}\rangle$ $(11)$ $x^3 + (b_{32} \pi^{11} + b_{29} \pi^{10} + b_{26} \pi^9 + b_{23} \pi^8) x^2 + (b_{31} \pi^{11} + b_{28} \pi^{10} + b_{25} \pi^9 + a_{22} \pi^8) x + c_{33} \pi^{12} + \pi$ $3$ $0$ $4374$
3.1.8.7a1.1-1.3.25a $3$ $3$ $1$ $3$ $25$ 3.1.8.7a1.1 $[\frac{39}{16}]$ $[\frac{23}{2}]$ $\langle\frac{23}{3}\rangle$ $(\frac{23}{2})$ $x^3 + (b_{32} \pi^{11} + b_{29} \pi^{10} + b_{26} \pi^9 + a_{23} \pi^8) x^2 + (b_{34} \pi^{12} + b_{31} \pi^{11} + b_{28} \pi^{10} + b_{25} \pi^9) x + \pi$ $1$ $0$ $4374$
3.1.8.7a1.1-1.3.26a $3$ $3$ $1$ $3$ $26$ 3.1.8.7a1.1 $[\frac{5}{2}]$ $[12]$ $\langle8\rangle$ $(12)$ $x^3 + (b_{35} \pi^{12} + b_{32} \pi^{11} + b_{29} \pi^{10} + b_{26} \pi^9) x^2 + (b_{34} \pi^{12} + b_{31} \pi^{11} + b_{28} \pi^{10} + b_{25} \pi^9) x + c_{36} \pi^{13} + \pi$ $3$ $0$ $6561$
3.1.8.7a1.1-4.1.0a $3$ $4$ $4$ $1$ $0$ 3.1.8.7a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $4$ $0$ $1$
3.1.8.7a1.1-2.2.2a $3$ $4$ $2$ $2$ $2$ 3.1.8.7a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $0$ $1$
3.1.8.7a1.1-1.4.3a $3$ $4$ $1$ $4$ $3$ 3.1.8.7a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + d_{0} \pi$ $2$ $0$ $1$
3.1.8.7a1.1-5.1.0a $3$ $5$ $5$ $1$ $0$ 3.1.8.7a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $5$ $0$ $1$
3.1.8.7a1.1-1.5.4a $3$ $5$ $1$ $5$ $4$ 3.1.8.7a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $0$ $1$
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