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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 (10 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
3.5.3.20a10.2-2.1.0a $3$ $2$ $2$ $1$ $0$ 3.5.3.20a10.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $0$ $1$
3.5.3.20a10.2-1.2.1a $3$ $2$ $1$ $2$ $1$ 3.5.3.20a10.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $0$ $1$
3.5.3.20a10.2-3.1.0a $3$ $3$ $3$ $1$ $0$ 3.5.3.20a10.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $0$ $1$
3.5.3.20a10.2-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.5.3.20a10.2 $[\frac{3}{2}, 2]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $242$
3.5.3.20a10.2-1.3.4a $3$ $3$ $1$ $3$ $4$ 3.5.3.20a10.2 $[2, 2]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $3$ $0$ $242$
3.5.3.20a10.2-1.3.6a $3$ $3$ $1$ $3$ $6$ 3.5.3.20a10.2 $[2, \frac{7}{3}]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $3$ $0$ $58806$
3.5.3.20a10.2-1.3.7a $3$ $3$ $1$ $3$ $7$ 3.5.3.20a10.2 $[2, \frac{5}{2}]$ $[\frac{5}{2}]$ $\langle\frac{5}{3}\rangle$ $(\frac{5}{2})$ $x^3 + a_{5} \pi^2 x^2 + b_{7} \pi^3 x + \pi$ $1$ $0$ $58806$
3.5.3.20a10.2-1.3.9a $3$ $3$ $1$ $3$ $9$ 3.5.3.20a10.2 $[2, \frac{17}{6}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(\frac{7}{2})$ $x^3 + b_{8} \pi^3 x^2 + (b_{10} \pi^4 + a_{7} \pi^3) x + \pi$ $1$ $0$ $14289858$
3.5.3.20a10.2-1.3.10a $3$ $3$ $1$ $3$ $10$ 3.5.3.20a10.2 $[2, 3]$ $[4]$ $\langle\frac{8}{3}\rangle$ $(4)$ $x^3 + (b_{11} \pi^4 + a_{8} \pi^3) x^2 + b_{10} \pi^4 x + c_{12} \pi^5 + \pi$ $3$ $0$ $14289858$
3.5.3.20a10.2-1.3.11a $3$ $3$ $1$ $3$ $11$ 3.5.3.20a10.2 $[2, \frac{19}{6}]$ $[\frac{9}{2}]$ $\langle3\rangle$ $(\frac{9}{2})$ $x^3 + b_{11} \pi^4 x^2 + (b_{13} \pi^5 + b_{10} \pi^4) x + \pi$ $1$ $0$ $14348907$
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