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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
3.1.30.54a $3$ $30$ $1$ $30$ $54$ $\Q_{3}$ $[\frac{9}{4}]$ $[\frac{5}{4}]$ $\langle\frac{5}{6}\rangle$ $(\frac{25}{2})$ $x^{30} + 3 b_{29} x^{29} + 3 b_{28} x^{28} + 3 b_{26} x^{26} + 3 a_{25} x^{25} + 9 b_{37} x^7 + 9 b_{35} x^5 + 9 b_{34} x^4 + 9 b_{32} x^2 + 9 b_{31} x + 3 d_{0}$ $2$ $0$ $13122$
3.1.2.1a1.1-1.15.39a $3$ $15$ $1$ $15$ $39$ $\Q_{3}(\sqrt{3\cdot 2})$ $[\frac{9}{4}]$ $[\frac{5}{2}]$ $\langle\frac{5}{3}\rangle$ $(\frac{25}{2})$ $x^{15} + b_{29} \pi^2 x^{14} + b_{28} \pi^2 x^{13} + b_{26} \pi^2 x^{11} + a_{25} \pi^2 x^{10} + b_{37} \pi^3 x^7 + b_{35} \pi^3 x^5 + b_{34} \pi^3 x^4 + b_{32} \pi^3 x^2 + b_{31} \pi^3 x + \pi$ $1$ $0$ $13122$
3.1.2.1a1.2-1.15.39a $3$ $15$ $1$ $15$ $39$ $\Q_{3}(\sqrt{3})$ $[\frac{9}{4}]$ $[\frac{5}{2}]$ $\langle\frac{5}{3}\rangle$ $(\frac{25}{2})$ $x^{15} + b_{29} \pi^2 x^{14} + b_{28} \pi^2 x^{13} + b_{26} \pi^2 x^{11} + a_{25} \pi^2 x^{10} + b_{37} \pi^3 x^7 + b_{35} \pi^3 x^5 + b_{34} \pi^3 x^4 + b_{32} \pi^3 x^2 + b_{31} \pi^3 x + \pi$ $1$ $0$ $13122$
3.1.5.4a1.1-1.6.30a $3$ $6$ $1$ $6$ $30$ 3.1.5.4a1.1 $[\frac{9}{4}]$ $[\frac{25}{4}]$ $\langle\frac{25}{6}\rangle$ $(\frac{25}{2})$ $x^6 + (b_{35} \pi^6 + b_{29} \pi^5) x^5 + (b_{34} \pi^6 + b_{28} \pi^5) x^4 + (b_{32} \pi^6 + b_{26} \pi^5) x^2 + (b_{37} \pi^7 + b_{31} \pi^6 + a_{25} \pi^5) x + d_{0} \pi$ $2$ $0$ $13122$
3.1.6.10a1.1-1.5.4a $3$ $5$ $1$ $5$ $4$ 3.1.6.10a1.1 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $0$ $1$
3.1.6.10a1.2-1.5.4a $3$ $5$ $1$ $5$ $4$ 3.1.6.10a1.2 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $0$ $1$
3.1.6.10a1.3-1.5.4a $3$ $5$ $1$ $5$ $4$ 3.1.6.10a1.3 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $0$ $1$
3.1.6.10a1.4-1.5.4a $3$ $5$ $1$ $5$ $4$ 3.1.6.10a1.4 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $0$ $1$
3.1.6.10a1.5-1.5.4a $3$ $5$ $1$ $5$ $4$ 3.1.6.10a1.5 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $0$ $1$
3.1.6.10a1.6-1.5.4a $3$ $5$ $1$ $5$ $4$ 3.1.6.10a1.6 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $0$ $1$
3.1.10.9a1.1-1.3.27a $3$ $3$ $1$ $3$ $27$ 3.1.10.9a1.1 $[\frac{9}{4}]$ $[\frac{25}{2}]$ $\langle\frac{25}{3}\rangle$ $(\frac{25}{2})$ $x^3 + (b_{35} \pi^{12} + b_{32} \pi^{11} + b_{29} \pi^{10} + b_{26} \pi^9) x^2 + (b_{37} \pi^{13} + b_{34} \pi^{12} + b_{31} \pi^{11} + b_{28} \pi^{10} + a_{25} \pi^9) x + \pi$ $1$ $0$ $13122$
3.1.10.9a1.2-1.3.27a $3$ $3$ $1$ $3$ $27$ 3.1.10.9a1.2 $[\frac{9}{4}]$ $[\frac{25}{2}]$ $\langle\frac{25}{3}\rangle$ $(\frac{25}{2})$ $x^3 + (b_{35} \pi^{12} + b_{32} \pi^{11} + b_{29} \pi^{10} + b_{26} \pi^9) x^2 + (b_{37} \pi^{13} + b_{34} \pi^{12} + b_{31} \pi^{11} + b_{28} \pi^{10} + a_{25} \pi^9) x + \pi$ $1$ $0$ $13122$
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