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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
3.1.6.10a1.1-2.1.0a $3$ $2$ $2$ $1$ $0$ 3.1.6.10a1.1 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
3.1.6.10a1.1-1.2.1a $3$ $2$ $1$ $2$ $1$ 3.1.6.10a1.1 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $2$ $1$
3.1.6.10a1.1-3.1.0a $3$ $3$ $3$ $1$ $0$ 3.1.6.10a1.1 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $1$ $1$
3.1.6.10a1.1-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.1.6.10a1.1 $[\frac{5}{4}, \frac{9}{4}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $2$ $2$
3.1.6.10a1.1-1.3.4a $3$ $3$ $1$ $3$ $4$ 3.1.6.10a1.1 $[\frac{3}{2}, \frac{9}{4}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $3$ $4$ $2$
3.1.6.10a1.1-1.3.6a $3$ $3$ $1$ $3$ $6$ 3.1.6.10a1.1 $[2, \frac{9}{4}]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $3$ $12$ $6$
3.1.6.10a1.1-1.3.7a $3$ $3$ $1$ $3$ $7$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{9}{4}]$ $[\frac{5}{2}]$ $\langle\frac{5}{3}\rangle$ $(\frac{5}{2})$ $x^3 + a_{5} \pi^2 x^2 + b_{7} \pi^3 x + \pi$ $1$ $6$ $6$
3.1.6.10a1.1-1.3.9a $3$ $3$ $1$ $3$ $9$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{29}{12}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(\frac{7}{2})$ $x^3 + b_{8} \pi^3 x^2 + (b_{10} \pi^4 + a_{7} \pi^3) x + \pi$ $1$ $18$ $18$
3.1.6.10a1.1-1.3.10a $3$ $3$ $1$ $3$ $10$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{5}{2}]$ $[4]$ $\langle\frac{8}{3}\rangle$ $(4)$ $x^3 + (b_{11} \pi^4 + a_{8} \pi^3) x^2 + b_{10} \pi^4 x + c_{12} \pi^5 + \pi$ $3$ $36$ $18$
3.1.6.10a1.1-1.3.12a $3$ $3$ $1$ $3$ $12$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{8}{3}]$ $[5]$ $\langle\frac{10}{3}\rangle$ $(5)$ $x^3 + (b_{14} \pi^5 + b_{11} \pi^4) x^2 + (b_{13} \pi^5 + a_{10} \pi^4) x + c_{15} \pi^6 + \pi$ $3$ $108$ $54$
3.1.6.10a1.1-1.3.13a $3$ $3$ $1$ $3$ $13$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{11}{4}]$ $[\frac{11}{2}]$ $\langle\frac{11}{3}\rangle$ $(\frac{11}{2})$ $x^3 + (b_{14} \pi^5 + a_{11} \pi^4) x^2 + (b_{16} \pi^6 + b_{13} \pi^5) x + \pi$ $1$ $54$ $54$
3.1.6.10a1.1-1.3.15a $3$ $3$ $1$ $3$ $15$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{35}{12}]$ $[\frac{13}{2}]$ $\langle\frac{13}{3}\rangle$ $(\frac{13}{2})$ $x^3 + (b_{17} \pi^6 + b_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6 + a_{13} \pi^5) x + \pi$ $1$ $162$ $162$
3.1.6.10a1.1-1.3.16a $3$ $3$ $1$ $3$ $16$ 3.1.6.10a1.1 $[\frac{9}{4}, 3]$ $[7]$ $\langle\frac{14}{3}\rangle$ $(7)$ $x^3 + (b_{20} \pi^7 + b_{17} \pi^6 + a_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6) x + c_{21} \pi^8 + \pi$ $3$ $324$ $162$
3.1.6.10a1.1-1.3.18a $3$ $3$ $1$ $3$ $18$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{19}{6}]$ $[8]$ $\langle\frac{16}{3}\rangle$ $(8)$ $x^3 + (b_{23} \pi^8 + b_{20} \pi^7 + b_{17} \pi^6) x^2 + (b_{22} \pi^8 + b_{19} \pi^7 + a_{16} \pi^6) x + c_{24} \pi^9 + \pi$ $3$ $972$ $486$
3.1.6.10a1.1-1.3.19a $3$ $3$ $1$ $3$ $19$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{13}{4}]$ $[\frac{17}{2}]$ $\langle\frac{17}{3}\rangle$ $(\frac{17}{2})$ $x^3 + (b_{23} \pi^8 + b_{20} \pi^7 + a_{17} \pi^6) x^2 + (b_{25} \pi^9 + b_{22} \pi^8 + b_{19} \pi^7) x + \pi$ $1$ $486$ $486$
3.1.6.10a1.1-1.3.20a $3$ $3$ $1$ $3$ $20$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{10}{3}]$ $[9]$ $\langle6\rangle$ $(9)$ $x^3 + (b_{26} \pi^9 + b_{23} \pi^8 + b_{20} \pi^7) x^2 + (b_{25} \pi^9 + b_{22} \pi^8 + b_{19} \pi^7) x + c_{27} \pi^{10} + \pi$ $3$ $2187$ $729$
3.1.6.10a1.1-4.1.0a $3$ $4$ $4$ $1$ $0$ 3.1.6.10a1.1 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $4$ $0$ $1$
3.1.6.10a1.1-2.2.2a $3$ $4$ $2$ $2$ $2$ 3.1.6.10a1.1 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $0$ $1$
3.1.6.10a1.1-1.4.3a $3$ $4$ $1$ $4$ $3$ 3.1.6.10a1.1 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + d_{0} \pi$ $2$ $0$ $1$
3.1.6.10a1.1-5.1.0a $3$ $5$ $5$ $1$ $0$ 3.1.6.10a1.1 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $5$ $0$ $1$
3.1.6.10a1.1-1.5.4a $3$ $5$ $1$ $5$ $4$ 3.1.6.10a1.1 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $0$ $1$
3.1.6.10a1.1-6.1.0a $3$ $6$ $6$ $1$ $0$ 3.1.6.10a1.1 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $6$ $0$ $1$
3.1.6.10a1.1-3.2.3a $3$ $6$ $3$ $2$ $3$ 3.1.6.10a1.1 $[\frac{9}{4}]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $6$ $0$ $1$
3.1.6.10a1.1-2.3.6a $3$ $6$ $2$ $3$ $6$ 3.1.6.10a1.1 $[\frac{5}{4}, \frac{9}{4}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $2$ $0$ $8$
3.1.6.10a1.1-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.10a1.1 $[\frac{3}{2}, \frac{9}{4}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.10a1.1-2.3.12a $3$ $6$ $2$ $3$ $12$ 3.1.6.10a1.1 $[2, \frac{9}{4}]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $6$ $0$ $72$
3.1.6.10a1.1-2.3.14a $3$ $6$ $2$ $3$ $14$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{9}{4}]$ $[\frac{5}{2}]$ $\langle\frac{5}{3}\rangle$ $(\frac{5}{2})$ $x^3 + a_{5} \pi^2 x^2 + b_{7} \pi^3 x + \pi$ $2$ $0$ $72$
3.1.6.10a1.1-2.3.18a $3$ $6$ $2$ $3$ $18$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{29}{12}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(\frac{7}{2})$ $x^3 + b_{8} \pi^3 x^2 + (b_{10} \pi^4 + a_{7} \pi^3) x + \pi$ $2$ $0$ $648$
3.1.6.10a1.1-2.3.20a $3$ $6$ $2$ $3$ $20$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{5}{2}]$ $[4]$ $\langle\frac{8}{3}\rangle$ $(4)$ $x^3 + (b_{11} \pi^4 + a_{8} \pi^3) x^2 + b_{10} \pi^4 x + c_{12} \pi^5 + \pi$ $6$ $0$ $648$
3.1.6.10a1.1-2.3.24a $3$ $6$ $2$ $3$ $24$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{8}{3}]$ $[5]$ $\langle\frac{10}{3}\rangle$ $(5)$ $x^3 + (b_{14} \pi^5 + b_{11} \pi^4) x^2 + (b_{13} \pi^5 + a_{10} \pi^4) x + c_{15} \pi^6 + \pi$ $6$ $0$ $5832$
3.1.6.10a1.1-2.3.26a $3$ $6$ $2$ $3$ $26$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{11}{4}]$ $[\frac{11}{2}]$ $\langle\frac{11}{3}\rangle$ $(\frac{11}{2})$ $x^3 + (b_{14} \pi^5 + a_{11} \pi^4) x^2 + (b_{16} \pi^6 + b_{13} \pi^5) x + \pi$ $2$ $0$ $5832$
3.1.6.10a1.1-2.3.30a $3$ $6$ $2$ $3$ $30$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{35}{12}]$ $[\frac{13}{2}]$ $\langle\frac{13}{3}\rangle$ $(\frac{13}{2})$ $x^3 + (b_{17} \pi^6 + b_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6 + a_{13} \pi^5) x + \pi$ $2$ $0$ $52488$
3.1.6.10a1.1-2.3.32a $3$ $6$ $2$ $3$ $32$ 3.1.6.10a1.1 $[\frac{9}{4}, 3]$ $[7]$ $\langle\frac{14}{3}\rangle$ $(7)$ $x^3 + (b_{20} \pi^7 + b_{17} \pi^6 + a_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6) x + c_{21} \pi^8 + \pi$ $6$ $0$ $52488$
3.1.6.10a1.1-2.3.36a $3$ $6$ $2$ $3$ $36$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{19}{6}]$ $[8]$ $\langle\frac{16}{3}\rangle$ $(8)$ $x^3 + (b_{23} \pi^8 + b_{20} \pi^7 + b_{17} \pi^6) x^2 + (b_{22} \pi^8 + b_{19} \pi^7 + a_{16} \pi^6) x + c_{24} \pi^9 + \pi$ $6$ $0$ $472392$
3.1.6.10a1.1-2.3.38a $3$ $6$ $2$ $3$ $38$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{13}{4}]$ $[\frac{17}{2}]$ $\langle\frac{17}{3}\rangle$ $(\frac{17}{2})$ $x^3 + (b_{23} \pi^8 + b_{20} \pi^7 + a_{17} \pi^6) x^2 + (b_{25} \pi^9 + b_{22} \pi^8 + b_{19} \pi^7) x + \pi$ $2$ $0$ $472392$
3.1.6.10a1.1-2.3.40a $3$ $6$ $2$ $3$ $40$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{10}{3}]$ $[9]$ $\langle6\rangle$ $(9)$ $x^3 + (b_{26} \pi^9 + b_{23} \pi^8 + b_{20} \pi^7) x^2 + (b_{25} \pi^9 + b_{22} \pi^8 + b_{19} \pi^7) x + c_{27} \pi^{10} + \pi$ $6$ $0$ $531441$
3.1.6.10a1.1-1.6.6a $3$ $6$ $1$ $6$ $6$ 3.1.6.10a1.1 $[\frac{9}{8}, \frac{9}{4}]$ $[\frac{1}{4}]$ $\langle\frac{1}{6}\rangle$ $(\frac{1}{2})$ $x^6 + a_{1} \pi x + d_{0} \pi$ $2$ $0$ $2$
3.1.6.10a1.1-1.6.7a $3$ $6$ $1$ $6$ $7$ 3.1.6.10a1.1 $[\frac{5}{4}, \frac{9}{4}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(1)$ $x^6 + c_{3} \pi x^3 + a_{2} \pi x^2 + d_{0} \pi$ $6$ $0$ $2$
3.1.6.10a1.1-1.6.9a $3$ $6$ $1$ $6$ $9$ 3.1.6.10a1.1 $[\frac{3}{2}, \frac{9}{4}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(2)$ $x^6 + b_{5} \pi x^5 + a_{4} \pi x^4 + c_{6} \pi^2 + d_{0} \pi$ $6$ $0$ $6$
3.1.6.10a1.1-1.6.10a $3$ $6$ $1$ $6$ $10$ 3.1.6.10a1.1 $[\frac{13}{8}, \frac{9}{4}]$ $[\frac{5}{4}]$ $\langle\frac{5}{6}\rangle$ $(\frac{5}{2})$ $x^6 + a_{5} \pi x^5 + b_{7} \pi^2 x + d_{0} \pi$ $2$ $0$ $6$
3.1.6.10a1.1-1.6.12a $3$ $6$ $1$ $6$ $12$ 3.1.6.10a1.1 $[\frac{15}{8}, \frac{9}{4}]$ $[\frac{7}{4}]$ $\langle\frac{7}{6}\rangle$ $(\frac{7}{2})$ $x^6 + b_{10} \pi^2 x^4 + b_{8} \pi^2 x^2 + a_{7} \pi^2 x + d_{0} \pi$ $2$ $0$ $18$
3.1.6.10a1.1-1.6.13a $3$ $6$ $1$ $6$ $13$ 3.1.6.10a1.1 $[2, \frac{9}{4}]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(4)$ $x^6 + b_{11} \pi^2 x^5 + b_{10} \pi^2 x^4 + a_{8} \pi^2 x^2 + c_{12} \pi^3 + d_{0} \pi$ $6$ $0$ $18$
3.1.6.10a1.1-1.6.15a $3$ $6$ $1$ $6$ $15$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{9}{4}]$ $[\frac{5}{2}]$ $\langle\frac{5}{3}\rangle$ $(5)$ $x^6 + b_{11} \pi^2 x^5 + a_{10} \pi^2 x^4 + c_{15} \pi^3 x^3 + b_{14} \pi^3 x^2 + b_{13} \pi^3 x + d_{0} \pi$ $6$ $0$ $54$
3.1.6.10a1.1-1.6.16a $3$ $6$ $1$ $6$ $16$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{55}{24}]$ $[\frac{11}{4}]$ $\langle\frac{11}{6}\rangle$ $(\frac{11}{2})$ $x^6 + a_{11} \pi^2 x^5 + b_{16} \pi^3 x^4 + b_{14} \pi^3 x^2 + b_{13} \pi^3 x + d_{0} \pi$ $2$ $0$ $54$
3.1.6.10a1.1-1.6.18a $3$ $6$ $1$ $6$ $18$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{19}{8}]$ $[\frac{13}{4}]$ $\langle\frac{13}{6}\rangle$ $(\frac{13}{2})$ $x^6 + b_{17} \pi^3 x^5 + b_{16} \pi^3 x^4 + b_{14} \pi^3 x^2 + (b_{19} \pi^4 + a_{13} \pi^3) x + d_{0} \pi$ $2$ $0$ $162$
3.1.6.10a1.1-1.6.19a $3$ $6$ $1$ $6$ $19$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{29}{12}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(7)$ $x^6 + b_{17} \pi^3 x^5 + b_{16} \pi^3 x^4 + c_{21} \pi^4 x^3 + (b_{20} \pi^4 + a_{14} \pi^3) x^2 + b_{19} \pi^4 x + d_{0} \pi$ $6$ $0$ $162$
3.1.6.10a1.1-1.6.21a $3$ $6$ $1$ $6$ $21$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{5}{2}]$ $[4]$ $\langle\frac{8}{3}\rangle$ $(8)$ $x^6 + (b_{23} \pi^4 + b_{17} \pi^3) x^5 + (b_{22} \pi^4 + a_{16} \pi^3) x^4 + b_{20} \pi^4 x^2 + b_{19} \pi^4 x + c_{24} \pi^5 + d_{0} \pi$ $6$ $0$ $486$
3.1.6.10a1.1-1.6.22a $3$ $6$ $1$ $6$ $22$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{61}{24}]$ $[\frac{17}{4}]$ $\langle\frac{17}{6}\rangle$ $(\frac{17}{2})$ $x^6 + (b_{23} \pi^4 + a_{17} \pi^3) x^5 + b_{22} \pi^4 x^4 + b_{20} \pi^4 x^2 + (b_{25} \pi^5 + b_{19} \pi^4) x + d_{0} \pi$ $2$ $0$ $486$
3.1.6.10a1.1-1.6.24a $3$ $6$ $1$ $6$ $24$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{21}{8}]$ $[\frac{19}{4}]$ $\langle\frac{19}{6}\rangle$ $(\frac{19}{2})$ $x^6 + b_{23} \pi^4 x^5 + (b_{28} \pi^5 + b_{22} \pi^4) x^4 + (b_{26} \pi^5 + b_{20} \pi^4) x^2 + (b_{25} \pi^5 + a_{19} \pi^4) x + d_{0} \pi$ $2$ $0$ $1458$
3.1.6.10a1.1-1.6.25a $3$ $6$ $1$ $6$ $25$ 3.1.6.10a1.1 $[\frac{9}{4}, \frac{8}{3}]$ $[5]$ $\langle\frac{10}{3}\rangle$ $(10)$ $x^6 + (b_{29} \pi^5 + b_{23} \pi^4) x^5 + (b_{28} \pi^5 + b_{22} \pi^4) x^4 + (b_{26} \pi^5 + a_{20} \pi^4) x^2 + b_{25} \pi^5 x + c_{30} \pi^6 + d_{0} \pi$ $6$ $0$ $1458$
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