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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
3.1.30.36a $3$ $30$ $1$ $30$ $36$ $\Q_{3}$ $[\frac{27}{20}]$ $[\frac{7}{20}]$ $\langle\frac{7}{30}\rangle$ $(\frac{7}{2})$ $x^{30} + 3 b_{10} x^{10} + 3 b_{8} x^8 + 3 a_{7} x^7 + 3 d_{0}$ $2$ $0$ $18$
3.1.2.1a1.1-1.15.21a $3$ $15$ $1$ $15$ $21$ $\Q_{3}(\sqrt{3\cdot 2})$ $[\frac{27}{20}]$ $[\frac{7}{10}]$ $\langle\frac{7}{15}\rangle$ $(\frac{7}{2})$ $x^{15} + b_{10} \pi x^{10} + b_{8} \pi x^8 + a_{7} \pi x^7 + \pi$ $1$ $0$ $18$
3.1.2.1a1.2-1.15.21a $3$ $15$ $1$ $15$ $21$ $\Q_{3}(\sqrt{3})$ $[\frac{27}{20}]$ $[\frac{7}{10}]$ $\langle\frac{7}{15}\rangle$ $(\frac{7}{2})$ $x^{15} + b_{10} \pi x^{10} + b_{8} \pi x^8 + a_{7} \pi x^7 + \pi$ $1$ $0$ $18$
3.1.5.4a1.1-1.6.12a $3$ $6$ $1$ $6$ $12$ 3.1.5.4a1.1 $[\frac{27}{20}]$ $[\frac{7}{4}]$ $\langle\frac{7}{6}\rangle$ $(\frac{7}{2})$ $x^6 + b_{10} \pi^2 x^4 + b_{8} \pi^2 x^2 + a_{7} \pi^2 x + d_{0} \pi$ $2$ $0$ $18$
3.1.10.9a1.1-1.3.9a $3$ $3$ $1$ $3$ $9$ 3.1.10.9a1.1 $[\frac{27}{20}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(\frac{7}{2})$ $x^3 + b_{8} \pi^3 x^2 + (b_{10} \pi^4 + a_{7} \pi^3) x + \pi$ $1$ $0$ $18$
3.1.10.9a1.2-1.3.9a $3$ $3$ $1$ $3$ $9$ 3.1.10.9a1.2 $[\frac{27}{20}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(\frac{7}{2})$ $x^3 + b_{8} \pi^3 x^2 + (b_{10} \pi^4 + a_{7} \pi^3) x + \pi$ $1$ $0$ $18$
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