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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
3.2.18.48b $3$ $36$ $2$ $18$ $48$ $\Q_{3}$ $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{4}, \frac{1}{2}]$ $\langle\frac{1}{6}, \frac{7}{18}\rangle$ $(\frac{1}{2}, 2)$ $x^{18} + 3 c_{9} x^9 + 3 b_{8} x^8 + 3 a_{7} x^7 + 3 a_{3} x^3 + 3 d_{0}$ $12$ $0$ $576$
3.2.1.0a1.1-1.18.24b $3$ $18$ $1$ $18$ $24$ $\Q_{3}(\sqrt{2})$ $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{4}, \frac{1}{2}]$ $\langle\frac{1}{6}, \frac{7}{18}\rangle$ $(\frac{1}{2}, 2)$ $x^{18} + 3 c_{9} x^9 + 3 b_{8} x^8 + 3 a_{7} x^7 + 3 a_{3} x^3 + 3 d_{0}$ $6$ $0$ $576$
3.1.2.1a1.1-2.9.30b $3$ $18$ $2$ $9$ $30$ $\Q_{3}(\sqrt{3\cdot 2})$ $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}, 1]$ $\langle\frac{1}{3}, \frac{7}{9}\rangle$ $(\frac{1}{2}, 2)$ $x^9 + b_{8} \pi x^8 + a_{7} \pi x^7 + a_{3} \pi x^3 + c_{9} \pi^2 + \pi$ $6$ $0$ $576$
3.1.2.1a1.2-2.9.30b $3$ $18$ $2$ $9$ $30$ $\Q_{3}(\sqrt{3})$ $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}, 1]$ $\langle\frac{1}{3}, \frac{7}{9}\rangle$ $(\frac{1}{2}, 2)$ $x^9 + b_{8} \pi x^8 + a_{7} \pi x^7 + a_{3} \pi x^3 + c_{9} \pi^2 + \pi$ $6$ $0$ $576$
3.1.3.3a1.1-2.6.12a $3$ $12$ $2$ $6$ $12$ 3.1.3.3a1.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{4}]$ $\langle\frac{1}{6}\rangle$ $(\frac{1}{2})$ $x^6 + a_{1} \pi x + d_{0} \pi$ $4$ $0$ $8$
3.1.3.3a1.2-2.6.12a $3$ $12$ $2$ $6$ $12$ 3.1.3.3a1.2 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{4}]$ $\langle\frac{1}{6}\rangle$ $(\frac{1}{2})$ $x^6 + a_{1} \pi x + d_{0} \pi$ $4$ $0$ $8$
3.2.2.2a1.1-1.9.15b $3$ $9$ $1$ $9$ $15$ 3.2.2.2a1.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}, 1]$ $\langle\frac{1}{3}, \frac{7}{9}\rangle$ $(\frac{1}{2}, 2)$ $x^9 + b_{8} \pi x^8 + a_{7} \pi x^7 + a_{3} \pi x^3 + c_{9} \pi^2 + \pi$ $3$ $0$ $576$
3.2.2.2a1.2-1.9.15b $3$ $9$ $1$ $9$ $15$ 3.2.2.2a1.2 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}, 1]$ $\langle\frac{1}{3}, \frac{7}{9}\rangle$ $(\frac{1}{2}, 2)$ $x^9 + b_{8} \pi x^8 + a_{7} \pi x^7 + a_{3} \pi x^3 + c_{9} \pi^2 + \pi$ $3$ $0$ $576$
3.2.3.6a1.1-1.6.6a $3$ $6$ $1$ $6$ $6$ 3.2.3.6a1.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{4}]$ $\langle\frac{1}{6}\rangle$ $(\frac{1}{2})$ $x^6 + a_{1} \pi x + d_{0} \pi$ $2$ $0$ $8$
3.2.3.6a2.1-1.6.6a $3$ $6$ $1$ $6$ $6$ 3.2.3.6a2.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{4}]$ $\langle\frac{1}{6}\rangle$ $(\frac{1}{2})$ $x^6 + a_{1} \pi x + d_{0} \pi$ $2$ $0$ $8$
3.2.3.6a3.1-1.6.6a $3$ $6$ $1$ $6$ $6$ 3.2.3.6a3.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{4}]$ $\langle\frac{1}{6}\rangle$ $(\frac{1}{2})$ $x^6 + a_{1} \pi x + d_{0} \pi$ $2$ $0$ $8$
3.2.3.6a4.1-1.6.6a $3$ $6$ $1$ $6$ $6$ 3.2.3.6a4.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{4}]$ $\langle\frac{1}{6}\rangle$ $(\frac{1}{2})$ $x^6 + a_{1} \pi x + d_{0} \pi$ $2$ $0$ $8$
3.2.3.6a5.1-1.6.6a $3$ $6$ $1$ $6$ $6$ 3.2.3.6a5.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{4}]$ $\langle\frac{1}{6}\rangle$ $(\frac{1}{2})$ $x^6 + a_{1} \pi x + d_{0} \pi$ $2$ $0$ $8$
3.1.6.6a1.1-2.3.12a $3$ $6$ $2$ $3$ $12$ 3.1.6.6a1.1 $[\frac{5}{4}, \frac{3}{2}]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $6$ $0$ $72$
3.1.6.6a1.2-2.3.12a $3$ $6$ $2$ $3$ $12$ 3.1.6.6a1.2 $[\frac{5}{4}, \frac{3}{2}]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $6$ $0$ $72$
3.1.6.7a1.1-2.3.6a $3$ $6$ $2$ $3$ $6$ 3.1.6.7a1.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $2$ $0$ $8$
3.1.6.7a1.2-2.3.6a $3$ $6$ $2$ $3$ $6$ 3.1.6.7a1.2 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $2$ $0$ $8$
3.1.6.7a1.3-2.3.6a $3$ $6$ $2$ $3$ $6$ 3.1.6.7a1.3 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $2$ $0$ $8$
3.1.6.7a1.4-2.3.6a $3$ $6$ $2$ $3$ $6$ 3.1.6.7a1.4 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $2$ $0$ $8$
3.1.6.7a2.1-2.3.6a $3$ $6$ $2$ $3$ $6$ 3.1.6.7a2.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $2$ $0$ $8$
3.1.6.7a2.2-2.3.6a $3$ $6$ $2$ $3$ $6$ 3.1.6.7a2.2 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $2$ $0$ $8$
3.2.6.12a1.1-1.3.6a $3$ $3$ $1$ $3$ $6$ 3.2.6.12a1.1 $[\frac{5}{4}, \frac{3}{2}]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $3$ $0$ $72$
3.2.6.12a1.2-1.3.6a $3$ $3$ $1$ $3$ $6$ 3.2.6.12a1.2 $[\frac{5}{4}, \frac{3}{2}]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $3$ $0$ $72$
3.2.6.12a2.1-1.3.6a $3$ $3$ $1$ $3$ $6$ 3.2.6.12a2.1 $[\frac{5}{4}, \frac{3}{2}]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $3$ $0$ $72$
3.2.6.12a2.2-1.3.6a $3$ $3$ $1$ $3$ $6$ 3.2.6.12a2.2 $[\frac{5}{4}, \frac{3}{2}]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $3$ $0$ $72$
3.2.6.12a3.1-1.3.6a $3$ $3$ $1$ $3$ $6$ 3.2.6.12a3.1 $[\frac{5}{4}, \frac{3}{2}]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $3$ $0$ $72$
3.2.6.14a1.1-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a1.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a1.2-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a1.2 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a1.3-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a1.3 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a1.4-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a1.4 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a2.1-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a2.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a2.2-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a2.2 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a3.1-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a3.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a3.2-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a3.2 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a4.1-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a4.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a4.2-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a4.2 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a4.3-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a4.3 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a4.4-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a4.4 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a5.1-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a5.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a5.2-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a5.2 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.14a6.1-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.14a6.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
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