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Residue characteristic $p$ Rel. degree $n$ Rel. ram. index $e$ Rel. res. field degree $f$ Rel. disc. exponent $c$
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Herbrand invariant Abs. degree $n_{\mathrm{abs}}$ Abs. ram. index $e_{\mathrm{abs}}$ Abs. res. field degree $f_{\mathrm{abs}}$ Abs. disc. exponent $c_{\mathrm{abs}}$
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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
89.1.20.19a $89$ $20$ $1$ $20$ $19$ $\Q_{89}$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{20} + 89 d_{0}$ $4$ $4$ $1$
89.1.2.1a1.1-1.10.9a $89$ $10$ $1$ $10$ $9$ $\Q_{89}(\sqrt{89})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{10} + d_{0} \pi$ $2$ $2$ $1$
89.1.2.1a1.2-1.10.9a $89$ $10$ $1$ $10$ $9$ $\Q_{89}(\sqrt{89\cdot 3})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{10} + d_{0} \pi$ $2$ $2$ $1$
89.1.4.3a1.1-1.5.4a $89$ $5$ $1$ $5$ $4$ 89.1.4.3a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
89.1.4.3a1.2-1.5.4a $89$ $5$ $1$ $5$ $4$ 89.1.4.3a1.2 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
89.1.4.3a1.3-1.5.4a $89$ $5$ $1$ $5$ $4$ 89.1.4.3a1.3 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
89.1.4.3a1.4-1.5.4a $89$ $5$ $1$ $5$ $4$ 89.1.4.3a1.4 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
89.1.5.4a1.1-1.4.3a $89$ $4$ $1$ $4$ $3$ 89.1.5.4a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + d_{0} \pi$ $4$ $4$ $1$
89.1.10.9a1.1-1.2.1a $89$ $2$ $1$ $2$ $1$ 89.1.10.9a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $2$ $1$
89.1.10.9a1.2-1.2.1a $89$ $2$ $1$ $2$ $1$ 89.1.10.9a1.2 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $2$ $1$
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