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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
3.1.9.22a3.1-2.1.0a $3$ $2$ $2$ $1$ $0$ 3.1.9.22a3.1 $[2, 3]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
3.1.9.22a3.1-1.2.1a $3$ $2$ $1$ $2$ $1$ 3.1.9.22a3.1 $[2, 3]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $2$ $1$
3.1.9.22a3.1-3.1.0a $3$ $3$ $3$ $1$ $0$ 3.1.9.22a3.1 $[2, 3]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $0$ $1$
3.1.9.22a3.1-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.1.9.22a3.1 $[\frac{3}{2}, 2, 3]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $2$
3.1.9.22a3.1-1.3.4a $3$ $3$ $1$ $3$ $4$ 3.1.9.22a3.1 $[2, 2, 3]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $3$ $0$ $2$
3.1.9.22a3.1-1.3.6a $3$ $3$ $1$ $3$ $6$ 3.1.9.22a3.1 $[2, \frac{7}{3}, 3]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $3$ $0$ $6$
3.1.9.22a3.1-1.3.7a $3$ $3$ $1$ $3$ $7$ 3.1.9.22a3.1 $[2, \frac{5}{2}, 3]$ $[\frac{5}{2}]$ $\langle\frac{5}{3}\rangle$ $(\frac{5}{2})$ $x^3 + a_{5} \pi^2 x^2 + b_{7} \pi^3 x + \pi$ $1$ $0$ $6$
3.1.9.22a3.1-1.3.9a $3$ $3$ $1$ $3$ $9$ 3.1.9.22a3.1 $[2, \frac{17}{6}, 3]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(\frac{7}{2})$ $x^3 + b_{8} \pi^3 x^2 + (b_{10} \pi^4 + a_{7} \pi^3) x + \pi$ $1$ $0$ $18$
3.1.9.22a3.1-1.3.10a $3$ $3$ $1$ $3$ $10$ 3.1.9.22a3.1 $[2, 3, 3]$ $[4]$ $\langle\frac{8}{3}\rangle$ $(4)$ $x^3 + (b_{11} \pi^4 + a_{8} \pi^3) x^2 + b_{10} \pi^4 x + c_{12} \pi^5 + \pi$ $3$ $0$ $18$
3.1.9.22a3.1-1.3.12a $3$ $3$ $1$ $3$ $12$ 3.1.9.22a3.1 $[2, 3, \frac{28}{9}]$ $[5]$ $\langle\frac{10}{3}\rangle$ $(5)$ $x^3 + (b_{14} \pi^5 + b_{11} \pi^4) x^2 + (b_{13} \pi^5 + a_{10} \pi^4) x + c_{15} \pi^6 + \pi$ $3$ $0$ $54$
3.1.9.22a3.1-1.3.13a $3$ $3$ $1$ $3$ $13$ 3.1.9.22a3.1 $[2, 3, \frac{19}{6}]$ $[\frac{11}{2}]$ $\langle\frac{11}{3}\rangle$ $(\frac{11}{2})$ $x^3 + (b_{14} \pi^5 + a_{11} \pi^4) x^2 + (b_{16} \pi^6 + b_{13} \pi^5) x + \pi$ $1$ $0$ $54$
3.1.9.22a3.1-1.3.15a $3$ $3$ $1$ $3$ $15$ 3.1.9.22a3.1 $[2, 3, \frac{59}{18}]$ $[\frac{13}{2}]$ $\langle\frac{13}{3}\rangle$ $(\frac{13}{2})$ $x^3 + (b_{17} \pi^6 + b_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6 + a_{13} \pi^5) x + \pi$ $1$ $0$ $162$
3.1.9.22a3.1-1.3.16a $3$ $3$ $1$ $3$ $16$ 3.1.9.22a3.1 $[2, 3, \frac{10}{3}]$ $[7]$ $\langle\frac{14}{3}\rangle$ $(7)$ $x^3 + (b_{20} \pi^7 + b_{17} \pi^6 + a_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6) x + c_{21} \pi^8 + \pi$ $3$ $0$ $162$
3.1.9.22a3.1-1.3.18a $3$ $3$ $1$ $3$ $18$ 3.1.9.22a3.1 $[2, 3, \frac{31}{9}]$ $[8]$ $\langle\frac{16}{3}\rangle$ $(8)$ $x^3 + (b_{23} \pi^8 + b_{20} \pi^7 + b_{17} \pi^6) x^2 + (b_{22} \pi^8 + b_{19} \pi^7 + a_{16} \pi^6) x + c_{24} \pi^9 + \pi$ $3$ $0$ $486$
3.1.9.22a3.1-1.3.19a $3$ $3$ $1$ $3$ $19$ 3.1.9.22a3.1 $[2, 3, \frac{7}{2}]$ $[\frac{17}{2}]$ $\langle\frac{17}{3}\rangle$ $(\frac{17}{2})$ $x^3 + (b_{23} \pi^8 + b_{20} \pi^7 + a_{17} \pi^6) x^2 + (b_{25} \pi^9 + b_{22} \pi^8 + b_{19} \pi^7) x + \pi$ $1$ $0$ $486$
3.1.9.22a3.1-1.3.21a $3$ $3$ $1$ $3$ $21$ 3.1.9.22a3.1 $[2, 3, \frac{65}{18}]$ $[\frac{19}{2}]$ $\langle\frac{19}{3}\rangle$ $(\frac{19}{2})$ $x^3 + (b_{26} \pi^9 + b_{23} \pi^8 + b_{20} \pi^7) x^2 + (b_{28} \pi^{10} + b_{25} \pi^9 + b_{22} \pi^8 + a_{19} \pi^7) x + \pi$ $1$ $0$ $1458$
3.1.9.22a3.1-1.3.22a $3$ $3$ $1$ $3$ $22$ 3.1.9.22a3.1 $[2, 3, \frac{11}{3}]$ $[10]$ $\langle\frac{20}{3}\rangle$ $(10)$ $x^3 + (b_{29} \pi^{10} + b_{26} \pi^9 + b_{23} \pi^8 + a_{20} \pi^7) x^2 + (b_{28} \pi^{10} + b_{25} \pi^9 + b_{22} \pi^8) x + c_{30} \pi^{11} + \pi$ $3$ $0$ $1458$
3.1.9.22a3.1-1.3.24a $3$ $3$ $1$ $3$ $24$ 3.1.9.22a3.1 $[2, 3, \frac{34}{9}]$ $[11]$ $\langle\frac{22}{3}\rangle$ $(11)$ $x^3 + (b_{32} \pi^{11} + b_{29} \pi^{10} + b_{26} \pi^9 + b_{23} \pi^8) x^2 + (b_{31} \pi^{11} + b_{28} \pi^{10} + b_{25} \pi^9 + a_{22} \pi^8) x + c_{33} \pi^{12} + \pi$ $3$ $0$ $4374$
3.1.9.22a3.1-1.3.25a $3$ $3$ $1$ $3$ $25$ 3.1.9.22a3.1 $[2, 3, \frac{23}{6}]$ $[\frac{23}{2}]$ $\langle\frac{23}{3}\rangle$ $(\frac{23}{2})$ $x^3 + (b_{32} \pi^{11} + b_{29} \pi^{10} + b_{26} \pi^9 + a_{23} \pi^8) x^2 + (b_{34} \pi^{12} + b_{31} \pi^{11} + b_{28} \pi^{10} + b_{25} \pi^9) x + \pi$ $1$ $0$ $4374$
3.1.9.22a3.1-1.3.27a $3$ $3$ $1$ $3$ $27$ 3.1.9.22a3.1 $[2, 3, \frac{71}{18}]$ $[\frac{25}{2}]$ $\langle\frac{25}{3}\rangle$ $(\frac{25}{2})$ $x^3 + (b_{35} \pi^{12} + b_{32} \pi^{11} + b_{29} \pi^{10} + b_{26} \pi^9) x^2 + (b_{37} \pi^{13} + b_{34} \pi^{12} + b_{31} \pi^{11} + b_{28} \pi^{10} + a_{25} \pi^9) x + \pi$ $1$ $0$ $13122$
3.1.9.22a3.1-1.3.28a $3$ $3$ $1$ $3$ $28$ 3.1.9.22a3.1 $[2, 3, 4]$ $[13]$ $\langle\frac{26}{3}\rangle$ $(13)$ $x^3 + (b_{38} \pi^{13} + b_{35} \pi^{12} + b_{32} \pi^{11} + b_{29} \pi^{10} + a_{26} \pi^9) x^2 + (b_{37} \pi^{13} + b_{34} \pi^{12} + b_{31} \pi^{11} + b_{28} \pi^{10}) x + c_{39} \pi^{14} + \pi$ $3$ $0$ $13122$
3.1.9.22a3.1-1.3.29a $3$ $3$ $1$ $3$ $29$ 3.1.9.22a3.1 $[2, 3, \frac{73}{18}]$ $[\frac{27}{2}]$ $\langle9\rangle$ $(\frac{27}{2})$ $x^3 + (b_{38} \pi^{13} + b_{35} \pi^{12} + b_{32} \pi^{11} + b_{29} \pi^{10}) x^2 + (b_{40} \pi^{14} + b_{37} \pi^{13} + b_{34} \pi^{12} + b_{31} \pi^{11} + b_{28} \pi^{10}) x + \pi$ $1$ $0$ $19683$
3.1.9.22a3.1-4.1.0a $3$ $4$ $4$ $1$ $0$ 3.1.9.22a3.1 $[2, 3]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $4$ $0$ $1$
3.1.9.22a3.1-2.2.2a $3$ $4$ $2$ $2$ $2$ 3.1.9.22a3.1 $[2, 3]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $0$ $1$
3.1.9.22a3.1-1.4.3a $3$ $4$ $1$ $4$ $3$ 3.1.9.22a3.1 $[2, 3]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + d_{0} \pi$ $2$ $0$ $1$
3.1.9.22a3.1-5.1.0a $3$ $5$ $5$ $1$ $0$ 3.1.9.22a3.1 $[2, 3]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $5$ $0$ $1$
3.1.9.22a3.1-1.5.4a $3$ $5$ $1$ $5$ $4$ 3.1.9.22a3.1 $[2, 3]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $0$ $1$
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