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Label $p$ $n$ $f$ $e$ $c$ Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass Num. Packets
3.9.1.0a $3$ $9$ $9$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $9$ $1$ $1$ $1$
3.3.3.9a $3$ $9$ $3$ $3$ $9$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + 3 a_{1} x + 3$ $3$ $10$ $26$ $10$
3.3.3.12a $3$ $9$ $3$ $3$ $12$ $[2]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + 3 a_{2} x^2 + 9 c_{3} + 3$ $9$ $20$ $26$ $12$
3.3.3.15a $3$ $9$ $3$ $3$ $15$ $[\frac{5}{2}]$ $[\frac{3}{2}]$ $\langle1\rangle$ $(\frac{3}{2})$ $x^3 + 9 b_{4} x + 3$ $3$ $11$ $27$ $3$
3.1.9.9a $3$ $9$ $1$ $9$ $9$ $[\frac{9}{8}, \frac{9}{8}]$ $[\frac{1}{8}, \frac{1}{8}]$ $\langle\frac{1}{12}, \frac{1}{9}\rangle$ $(\frac{1}{8}, \frac{1}{8})$ $x^9 + 3 a_{1} x + 3$ $1$ $2$ $2$ $1$
3.1.9.10a $3$ $9$ $1$ $9$ $10$ $[\frac{5}{4}, \frac{5}{4}]$ $[\frac{1}{4}, \frac{1}{4}]$ $\langle\frac{1}{6}, \frac{2}{9}\rangle$ $(\frac{1}{4}, \frac{1}{4})$ $x^9 + 3 a_{2} x^2 + 3$ $1$ $2$ $2$ $2$
3.1.9.12a $3$ $9$ $1$ $9$ $12$ $[\frac{3}{2}, \frac{3}{2}]$ $[\frac{1}{2}, \frac{1}{2}]$ $\langle\frac{1}{3}, \frac{4}{9}\rangle$ $(\frac{1}{2}, \frac{1}{2})$ $x^9 + 3 a_{4} x^4 + 3 b_{3} x^3 + 3$ $1$ $6$ $6$ $4$
3.1.9.13a $3$ $9$ $1$ $9$ $13$ $[\frac{13}{8}, \frac{13}{8}]$ $[\frac{5}{8}, \frac{5}{8}]$ $\langle\frac{5}{12}, \frac{5}{9}\rangle$ $(\frac{5}{8}, \frac{5}{8})$ $x^9 + 3 a_{5} x^5 + 3$ $1$ $2$ $2$ $1$
3.1.9.13b $3$ $9$ $1$ $9$ $13$ $[\frac{3}{2}, \frac{5}{3}]$ $[\frac{1}{2}, \frac{2}{3}]$ $\langle\frac{1}{3}, \frac{5}{9}\rangle$ $(\frac{1}{2}, 1)$ $x^9 + 3 c_{6} x^6 + 3 a_{5} x^5 + 3 a_{3} x^3 + 3$ $3$ $8$ $4$ $2$
3.1.9.15a $3$ $9$ $1$ $9$ $15$ $[\frac{15}{8}, \frac{15}{8}]$ $[\frac{7}{8}, \frac{7}{8}]$ $\langle\frac{7}{12}, \frac{7}{9}\rangle$ $(\frac{7}{8}, \frac{7}{8})$ $x^9 + 3 a_{7} x^7 + 3 b_{6} x^6 + 3$ $1$ $6$ $6$ $1$
3.1.9.15b $3$ $9$ $1$ $9$ $15$ $[\frac{3}{2}, 2]$ $[\frac{1}{2}, 1]$ $\langle\frac{1}{3}, \frac{7}{9}\rangle$ $(\frac{1}{2}, 2)$ $x^9 + 3 b_{8} x^8 + 3 a_{7} x^7 + 3 a_{3} x^3 + 9 c_{9} + 3$ $3$ $24$ $12$ $4$
3.1.9.16a $3$ $9$ $1$ $9$ $16$ $[2, 2]$ $[1, 1]$ $\langle\frac{2}{3}, \frac{8}{9}\rangle$ $(1, 1)$ $x^9 + 3 a_{8} x^8 + 3 b_{6} x^6 + 9 c_{9} + 3$ $3$ $10$ $6$ $6$
3.1.9.16b $3$ $9$ $1$ $9$ $16$ $[\frac{3}{2}, \frac{13}{6}]$ $[\frac{1}{2}, \frac{7}{6}]$ $\langle\frac{1}{3}, \frac{8}{9}\rangle$ $(\frac{1}{2}, \frac{5}{2})$ $x^9 + 3 a_{8} x^8 + 3 a_{3} x^3 + 9 b_{10} x + 3$ $1$ $12$ $12$ $2$
3.1.9.18a $3$ $9$ $1$ $9$ $18$ $[\frac{9}{4}, \frac{9}{4}]$ $[\frac{5}{4}, \frac{5}{4}]$ $\langle\frac{5}{6}, \frac{10}{9}\rangle$ $(\frac{5}{4}, \frac{5}{4})$ $x^9 + 9 b_{11} x^2 + 9 a_{10} x + 3$ $1$ $6$ $6$ $2$
3.1.9.18b $3$ $9$ $1$ $9$ $18$ $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{1}{2}, \frac{3}{2}]$ $\langle\frac{1}{3}, \frac{10}{9}\rangle$ $(\frac{1}{2}, \frac{7}{2})$ $x^9 + 9 b_{13} x^4 + 3 a_{3} x^3 + 9 b_{11} x^2 + 9 a_{10} x + 3$ $1$ $36$ $36$ $10$
3.1.9.18c $3$ $9$ $1$ $9$ $18$ $[2, \frac{7}{3}]$ $[1, \frac{4}{3}]$ $\langle\frac{2}{3}, \frac{10}{9}\rangle$ $(1, 2)$ $x^9 + 3 a_{6} x^6 + 9 c_{12} x^3 + 9 b_{11} x^2 + 9 a_{10} x + 9 c_{9} + 3$ $9$ $24$ $12$ $4$
3.1.9.19a $3$ $9$ $1$ $9$ $19$ $[\frac{19}{8}, \frac{19}{8}]$ $[\frac{11}{8}, \frac{11}{8}]$ $\langle\frac{11}{12}, \frac{11}{9}\rangle$ $(\frac{11}{8}, \frac{11}{8})$ $x^9 + 9 b_{12} x^3 + 9 a_{11} x^2 + 3$ $1$ $6$ $6$ $1$
3.1.9.19b $3$ $9$ $1$ $9$ $19$ $[\frac{3}{2}, \frac{8}{3}]$ $[\frac{1}{2}, \frac{5}{3}]$ $\langle\frac{1}{3}, \frac{11}{9}\rangle$ $(\frac{1}{2}, 4)$ $x^9 + 9 c_{15} x^6 + 9 b_{14} x^5 + 9 b_{13} x^4 + 3 a_{3} x^3 + 9 a_{11} x^2 + 3$ $3$ $72$ $36$ $5$
3.1.9.19c $3$ $9$ $1$ $9$ $19$ $[2, \frac{5}{2}]$ $[1, \frac{3}{2}]$ $\langle\frac{2}{3}, \frac{11}{9}\rangle$ $(1, \frac{5}{2})$ $x^9 + 3 a_{6} x^6 + 9 b_{13} x^4 + 9 a_{11} x^2 + 9 c_{9} + 3$ $3$ $18$ $12$ $4$
3.1.9.20a $3$ $9$ $1$ $9$ $20$ $[\frac{3}{2}, \frac{17}{6}]$ $[\frac{1}{2}, \frac{11}{6}]$ $\langle\frac{1}{3}, \frac{4}{3}\rangle$ $(\frac{1}{2}, \frac{9}{2})$ $x^9 + 9 b_{16} x^7 + 9 b_{14} x^5 + 9 b_{13} x^4 + 3 a_{3} x^3 + 3$ $1$ $54$ $54$ $2$
3.1.9.21a $3$ $9$ $1$ $9$ $21$ $[2, \frac{17}{6}]$ $[1, \frac{11}{6}]$ $\langle\frac{2}{3}, \frac{13}{9}\rangle$ $(1, \frac{7}{2})$ $x^9 + 9 b_{16} x^7 + 3 a_{6} x^6 + 9 b_{14} x^5 + 9 a_{13} x^4 + 9 c_{9} + 3$ $3$ $36$ $36$ $4$
3.1.9.21b $3$ $9$ $1$ $9$ $21$ $[\frac{5}{2}, \frac{8}{3}]$ $[\frac{3}{2}, \frac{5}{3}]$ $\langle1, \frac{13}{9}\rangle$ $(\frac{3}{2}, 2)$ $x^9 + 9 c_{15} x^6 + 9 b_{14} x^5 + 9 a_{13} x^4 + 9 b_{12} x^3 + 3$ $3$ $36$ $18$ $2$
3.1.9.22a $3$ $9$ $1$ $9$ $22$ $[2, 3]$ $[1, 2]$ $\langle\frac{2}{3}, \frac{14}{9}\rangle$ $(1, 4)$ $x^9 + 9 b_{17} x^8 + 9 b_{16} x^7 + 3 a_{6} x^6 + 9 a_{14} x^5 + 9 c_{9} + 27 c_{18} + 3$ $9$ $78$ $36$ $8$
3.1.9.22b $3$ $9$ $1$ $9$ $22$ $[\frac{5}{2}, \frac{17}{6}]$ $[\frac{3}{2}, \frac{11}{6}]$ $\langle1, \frac{14}{9}\rangle$ $(\frac{3}{2}, \frac{5}{2})$ $x^9 + 9 b_{16} x^7 + 9 a_{14} x^5 + 9 b_{12} x^3 + 3$ $1$ $18$ $18$ $2$
3.1.9.23a $3$ $9$ $1$ $9$ $23$ $[2, \frac{19}{6}]$ $[1, \frac{13}{6}]$ $\langle\frac{2}{3}, \frac{5}{3}\rangle$ $(1, \frac{9}{2})$ $x^9 + 9 b_{17} x^8 + 9 b_{16} x^7 + 3 a_{6} x^6 + 27 b_{19} x + 9 c_{9} + 3$ $3$ $54$ $54$ $2$
3.1.9.24a $3$ $9$ $1$ $9$ $24$ $[\frac{5}{2}, \frac{19}{6}]$ $[\frac{3}{2}, \frac{13}{6}]$ $\langle1, \frac{16}{9}\rangle$ $(\frac{3}{2}, \frac{7}{2})$ $x^9 + 9 b_{17} x^8 + 9 a_{16} x^7 + 9 b_{12} x^3 + 27 b_{19} x + 3$ $1$ $54$ $54$ $2$
3.1.9.25a $3$ $9$ $1$ $9$ $25$ $[\frac{5}{2}, \frac{10}{3}]$ $[\frac{3}{2}, \frac{7}{3}]$ $\langle1, \frac{17}{9}\rangle$ $(\frac{3}{2}, 4)$ $x^9 + 9 a_{17} x^8 + (9 b_{12} + 27 c_{21}) x^3 + 27 b_{20} x^2 + 27 b_{19} x + 3$ $3$ $108$ $54$ $2$
3.1.9.26a $3$ $9$ $1$ $9$ $26$ $[\frac{5}{2}, \frac{7}{2}]$ $[\frac{3}{2}, \frac{5}{2}]$ $\langle1, 2\rangle$ $(\frac{3}{2}, \frac{9}{2})$ $x^9 + 27 b_{22} x^4 + 9 b_{12} x^3 + 27 b_{20} x^2 + 27 b_{19} x + 3$ $1$ $81$ $81$ $4$
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