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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 (26 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
151.2.10.18a $151$ $20$ $2$ $10$ $18$ $\Q_{151}$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{10} + 151 d_{0}$ $20$ $10$ $1$
151.2.1.0a1.1-1.10.9a $151$ $10$ $1$ $10$ $9$ $\Q_{151}(\sqrt{3})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{10} + 151 d_{0}$ $10$ $10$ $1$
151.1.2.1a1.1-2.5.8a $151$ $10$ $2$ $5$ $8$ $\Q_{151}(\sqrt{151\cdot 3})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + d_{0} \pi$ $10$ $5$ $1$
151.1.2.1a1.2-2.5.8a $151$ $10$ $2$ $5$ $8$ $\Q_{151}(\sqrt{151})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + d_{0} \pi$ $10$ $5$ $1$
151.2.2.2a1.1-1.5.4a $151$ $5$ $1$ $5$ $4$ 151.2.2.2a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + d_{0} \pi$ $5$ $5$ $1$
151.2.2.2a1.2-1.5.4a $151$ $5$ $1$ $5$ $4$ 151.2.2.2a1.2 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + d_{0} \pi$ $5$ $5$ $1$
151.1.5.4a1.1-2.2.2a $151$ $4$ $2$ $2$ $2$ 151.1.5.4a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $2$ $1$
151.1.5.4a1.2-2.2.2a $151$ $4$ $2$ $2$ $2$ 151.1.5.4a1.2 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $2$ $1$
151.1.5.4a1.3-2.2.2a $151$ $4$ $2$ $2$ $2$ 151.1.5.4a1.3 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $2$ $1$
151.1.5.4a1.4-2.2.2a $151$ $4$ $2$ $2$ $2$ 151.1.5.4a1.4 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $2$ $1$
151.1.5.4a1.5-2.2.2a $151$ $4$ $2$ $2$ $2$ 151.1.5.4a1.5 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $2$ $1$
151.2.5.8a1.1-1.2.1a $151$ $2$ $1$ $2$ $1$ 151.2.5.8a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $2$ $1$
151.2.5.8a1.2-1.2.1a $151$ $2$ $1$ $2$ $1$ 151.2.5.8a1.2 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $2$ $1$
151.2.5.8a1.3-1.2.1a $151$ $2$ $1$ $2$ $1$ 151.2.5.8a1.3 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $2$ $1$
151.2.5.8a1.4-1.2.1a $151$ $2$ $1$ $2$ $1$ 151.2.5.8a1.4 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $2$ $1$
151.2.5.8a1.5-1.2.1a $151$ $2$ $1$ $2$ $1$ 151.2.5.8a1.5 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $2$ $1$
151.1.10.9a1.1-2.1.0a $151$ $2$ $2$ $1$ $0$ 151.1.10.9a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
151.1.10.9a1.2-2.1.0a $151$ $2$ $2$ $1$ $0$ 151.1.10.9a1.2 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
151.1.10.9a1.3-2.1.0a $151$ $2$ $2$ $1$ $0$ 151.1.10.9a1.3 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
151.1.10.9a1.4-2.1.0a $151$ $2$ $2$ $1$ $0$ 151.1.10.9a1.4 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
151.1.10.9a1.5-2.1.0a $151$ $2$ $2$ $1$ $0$ 151.1.10.9a1.5 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
151.1.10.9a1.6-2.1.0a $151$ $2$ $2$ $1$ $0$ 151.1.10.9a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
151.1.10.9a1.7-2.1.0a $151$ $2$ $2$ $1$ $0$ 151.1.10.9a1.7 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
151.1.10.9a1.8-2.1.0a $151$ $2$ $2$ $1$ $0$ 151.1.10.9a1.8 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
151.1.10.9a1.9-2.1.0a $151$ $2$ $2$ $1$ $0$ 151.1.10.9a1.9 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
151.1.10.9a1.10-2.1.0a $151$ $2$ $2$ $1$ $0$ 151.1.10.9a1.10 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
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