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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 (9 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
7.1.8.7a1.2-2.1.0a $7$ $2$ $2$ $1$ $0$ $\Q_{7}(\sqrt[8]{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
7.1.8.7a1.2-1.2.1a $7$ $2$ $1$ $2$ $1$ $\Q_{7}(\sqrt[8]{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $1$ $1$
7.1.8.7a1.2-3.1.0a $7$ $3$ $3$ $1$ $0$ $\Q_{7}(\sqrt[8]{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $0$ $1$
7.1.8.7a1.2-1.3.2a $7$ $3$ $1$ $3$ $2$ $\Q_{7}(\sqrt[8]{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + d_{0} \pi$ $3$ $0$ $1$
7.1.8.7a1.2-4.1.0a $7$ $4$ $4$ $1$ $0$ $\Q_{7}(\sqrt[8]{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $4$ $0$ $1$
7.1.8.7a1.2-2.2.2a $7$ $4$ $2$ $2$ $2$ $\Q_{7}(\sqrt[8]{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $0$ $1$
7.1.8.7a1.2-1.4.3a $7$ $4$ $1$ $4$ $3$ $\Q_{7}(\sqrt[8]{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + d_{0} \pi$ $2$ $0$ $1$
7.1.8.7a1.2-5.1.0a $7$ $5$ $5$ $1$ $0$ $\Q_{7}(\sqrt[8]{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $5$ $0$ $1$
7.1.8.7a1.2-1.5.4a $7$ $5$ $1$ $5$ $4$ $\Q_{7}(\sqrt[8]{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $0$ $1$
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