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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
3.2.3.6a5.1-2.1.0a $3$ $2$ $2$ $1$ $0$ 3.2.3.6a5.1 $[\frac{3}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
3.2.3.6a5.1-1.2.1a $3$ $2$ $1$ $2$ $1$ 3.2.3.6a5.1 $[\frac{3}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $2$ $1$
3.2.3.6a5.1-3.1.0a $3$ $3$ $3$ $1$ $0$ 3.2.3.6a5.1 $[\frac{3}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $1$ $1$
3.2.3.6a5.1-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $8$ $8$
3.2.3.6a5.1-1.3.4a $3$ $3$ $1$ $3$ $4$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{5}{3}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $3$ $16$ $8$
3.2.3.6a5.1-1.3.6a $3$ $3$ $1$ $3$ $6$ 3.2.3.6a5.1 $[\frac{3}{2}, 2]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $3$ $144$ $72$
3.2.3.6a5.1-1.3.7a $3$ $3$ $1$ $3$ $7$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{13}{6}]$ $[\frac{5}{2}]$ $\langle\frac{5}{3}\rangle$ $(\frac{5}{2})$ $x^3 + a_{5} \pi^2 x^2 + b_{7} \pi^3 x + \pi$ $1$ $72$ $72$
3.2.3.6a5.1-1.3.9a $3$ $3$ $1$ $3$ $9$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(\frac{7}{2})$ $x^3 + b_{8} \pi^3 x^2 + (b_{10} \pi^4 + a_{7} \pi^3) x + \pi$ $1$ $648$ $648$
3.2.3.6a5.1-1.3.10a $3$ $3$ $1$ $3$ $10$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{8}{3}]$ $[4]$ $\langle\frac{8}{3}\rangle$ $(4)$ $x^3 + (b_{11} \pi^4 + a_{8} \pi^3) x^2 + b_{10} \pi^4 x + c_{12} \pi^5 + \pi$ $3$ $1296$ $648$
3.2.3.6a5.1-1.3.11a $3$ $3$ $1$ $3$ $11$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{17}{6}]$ $[\frac{9}{2}]$ $\langle3\rangle$ $(\frac{9}{2})$ $x^3 + b_{11} \pi^4 x^2 + (b_{13} \pi^5 + b_{10} \pi^4) x + \pi$ $1$ $729$ $729$
3.2.3.6a5.1-4.1.0a $3$ $4$ $4$ $1$ $0$ 3.2.3.6a5.1 $[\frac{3}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $4$ $0$ $1$
3.2.3.6a5.1-2.2.2a $3$ $4$ $2$ $2$ $2$ 3.2.3.6a5.1 $[\frac{3}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $0$ $1$
3.2.3.6a5.1-1.4.3a $3$ $4$ $1$ $4$ $3$ 3.2.3.6a5.1 $[\frac{3}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + d_{0} \pi$ $4$ $0$ $1$
3.2.3.6a5.1-5.1.0a $3$ $5$ $5$ $1$ $0$ 3.2.3.6a5.1 $[\frac{3}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $5$ $0$ $1$
3.2.3.6a5.1-1.5.4a $3$ $5$ $1$ $5$ $4$ 3.2.3.6a5.1 $[\frac{3}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $0$ $1$
3.2.3.6a5.1-6.1.0a $3$ $6$ $6$ $1$ $0$ 3.2.3.6a5.1 $[\frac{3}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $6$ $0$ $1$
3.2.3.6a5.1-3.2.3a $3$ $6$ $3$ $2$ $3$ 3.2.3.6a5.1 $[\frac{3}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $6$ $0$ $1$
3.2.3.6a5.1-2.3.6a $3$ $6$ $2$ $3$ $6$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $2$ $0$ $80$
3.2.3.6a5.1-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{5}{3}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $80$
3.2.3.6a5.1-2.3.12a $3$ $6$ $2$ $3$ $12$ 3.2.3.6a5.1 $[\frac{3}{2}, 2]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $6$ $0$ $6480$
3.2.3.6a5.1-2.3.14a $3$ $6$ $2$ $3$ $14$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{13}{6}]$ $[\frac{5}{2}]$ $\langle\frac{5}{3}\rangle$ $(\frac{5}{2})$ $x^3 + a_{5} \pi^2 x^2 + b_{7} \pi^3 x + \pi$ $2$ $0$ $6480$
3.2.3.6a5.1-2.3.18a $3$ $6$ $2$ $3$ $18$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(\frac{7}{2})$ $x^3 + b_{8} \pi^3 x^2 + (b_{10} \pi^4 + a_{7} \pi^3) x + \pi$ $2$ $0$ $524880$
3.2.3.6a5.1-2.3.20a $3$ $6$ $2$ $3$ $20$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{8}{3}]$ $[4]$ $\langle\frac{8}{3}\rangle$ $(4)$ $x^3 + (b_{11} \pi^4 + a_{8} \pi^3) x^2 + b_{10} \pi^4 x + c_{12} \pi^5 + \pi$ $6$ $0$ $524880$
3.2.3.6a5.1-2.3.22a $3$ $6$ $2$ $3$ $22$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{17}{6}]$ $[\frac{9}{2}]$ $\langle3\rangle$ $(\frac{9}{2})$ $x^3 + b_{11} \pi^4 x^2 + (b_{13} \pi^5 + b_{10} \pi^4) x + \pi$ $2$ $0$ $531441$
3.2.3.6a5.1-1.6.6a $3$ $6$ $1$ $6$ $6$ 3.2.3.6a5.1 $[\frac{5}{4}, \frac{3}{2}]$ $[\frac{1}{4}]$ $\langle\frac{1}{6}\rangle$ $(\frac{1}{2})$ $x^6 + a_{1} \pi x + d_{0} \pi$ $2$ $0$ $8$
3.2.3.6a5.1-1.6.7a $3$ $6$ $1$ $6$ $7$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(1)$ $x^6 + c_{3} \pi x^3 + a_{2} \pi x^2 + d_{0} \pi$ $6$ $0$ $8$
3.2.3.6a5.1-1.6.9a $3$ $6$ $1$ $6$ $9$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{5}{3}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(2)$ $x^6 + b_{5} \pi x^5 + a_{4} \pi x^4 + c_{6} \pi^2 + d_{0} \pi$ $6$ $0$ $72$
3.2.3.6a5.1-1.6.10a $3$ $6$ $1$ $6$ $10$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{7}{4}]$ $[\frac{5}{4}]$ $\langle\frac{5}{6}\rangle$ $(\frac{5}{2})$ $x^6 + a_{5} \pi x^5 + b_{7} \pi^2 x + d_{0} \pi$ $2$ $0$ $72$
3.2.3.6a5.1-1.6.12a $3$ $6$ $1$ $6$ $12$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{23}{12}]$ $[\frac{7}{4}]$ $\langle\frac{7}{6}\rangle$ $(\frac{7}{2})$ $x^6 + b_{10} \pi^2 x^4 + b_{8} \pi^2 x^2 + a_{7} \pi^2 x + d_{0} \pi$ $2$ $0$ $648$
3.2.3.6a5.1-1.6.13a $3$ $6$ $1$ $6$ $13$ 3.2.3.6a5.1 $[\frac{3}{2}, 2]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(4)$ $x^6 + b_{11} \pi^2 x^5 + b_{10} \pi^2 x^4 + a_{8} \pi^2 x^2 + c_{12} \pi^3 + d_{0} \pi$ $6$ $0$ $648$
3.2.3.6a5.1-1.6.15a $3$ $6$ $1$ $6$ $15$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{13}{6}]$ $[\frac{5}{2}]$ $\langle\frac{5}{3}\rangle$ $(5)$ $x^6 + b_{11} \pi^2 x^5 + a_{10} \pi^2 x^4 + c_{15} \pi^3 x^3 + b_{14} \pi^3 x^2 + b_{13} \pi^3 x + d_{0} \pi$ $6$ $0$ $5832$
3.2.3.6a5.1-1.6.16a $3$ $6$ $1$ $6$ $16$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{9}{4}]$ $[\frac{11}{4}]$ $\langle\frac{11}{6}\rangle$ $(\frac{11}{2})$ $x^6 + a_{11} \pi^2 x^5 + b_{16} \pi^3 x^4 + b_{14} \pi^3 x^2 + b_{13} \pi^3 x + d_{0} \pi$ $2$ $0$ $5832$
3.2.3.6a5.1-1.6.18a $3$ $6$ $1$ $6$ $18$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{29}{12}]$ $[\frac{13}{4}]$ $\langle\frac{13}{6}\rangle$ $(\frac{13}{2})$ $x^6 + b_{17} \pi^3 x^5 + b_{16} \pi^3 x^4 + b_{14} \pi^3 x^2 + (b_{19} \pi^4 + a_{13} \pi^3) x + d_{0} \pi$ $2$ $0$ $52488$
3.2.3.6a5.1-1.6.19a $3$ $6$ $1$ $6$ $19$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(7)$ $x^6 + b_{17} \pi^3 x^5 + b_{16} \pi^3 x^4 + c_{21} \pi^4 x^3 + (b_{20} \pi^4 + a_{14} \pi^3) x^2 + b_{19} \pi^4 x + d_{0} \pi$ $6$ $0$ $52488$
3.2.3.6a5.1-1.6.21a $3$ $6$ $1$ $6$ $21$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{8}{3}]$ $[4]$ $\langle\frac{8}{3}\rangle$ $(8)$ $x^6 + (b_{23} \pi^4 + b_{17} \pi^3) x^5 + (b_{22} \pi^4 + a_{16} \pi^3) x^4 + b_{20} \pi^4 x^2 + b_{19} \pi^4 x + c_{24} \pi^5 + d_{0} \pi$ $6$ $0$ $472392$
3.2.3.6a5.1-1.6.22a $3$ $6$ $1$ $6$ $22$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{11}{4}]$ $[\frac{17}{4}]$ $\langle\frac{17}{6}\rangle$ $(\frac{17}{2})$ $x^6 + (b_{23} \pi^4 + a_{17} \pi^3) x^5 + b_{22} \pi^4 x^4 + b_{20} \pi^4 x^2 + (b_{25} \pi^5 + b_{19} \pi^4) x + d_{0} \pi$ $2$ $0$ $472392$
3.2.3.6a5.1-1.6.23a $3$ $6$ $1$ $6$ $23$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{17}{6}]$ $[\frac{9}{2}]$ $\langle3\rangle$ $(9)$ $x^6 + b_{23} \pi^4 x^5 + b_{22} \pi^4 x^4 + c_{27} \pi^5 x^3 + (b_{26} \pi^5 + b_{20} \pi^4) x^2 + (b_{25} \pi^5 + b_{19} \pi^4) x + d_{0} \pi$ $6$ $0$ $531441$
3.2.3.6a5.1-7.1.0a $3$ $7$ $7$ $1$ $0$ 3.2.3.6a5.1 $[\frac{3}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $7$ $0$ $1$
3.2.3.6a5.1-1.7.6a $3$ $7$ $1$ $7$ $6$ 3.2.3.6a5.1 $[\frac{3}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x^7 + \pi$ $1$ $0$ $1$
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