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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
3.24.1.0a $3$ $24$ $24$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $24$ $0$ $1$ $0$
3.12.2.12a $3$ $24$ $12$ $2$ $12$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 3 d_{0}$ $24$ $0$ $1$ $0$
3.8.3.24a $3$ $24$ $8$ $3$ $24$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + 3 a_{1} x + 3$ $8$ $0$ $6560$ $0$
3.8.3.32a $3$ $24$ $8$ $3$ $32$ $[2]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + 3 a_{2} x^2 + 9 c_{3} + 3$ $24$ $0$ $6560$ $0$
3.8.3.40a $3$ $24$ $8$ $3$ $40$ $[\frac{5}{2}]$ $[\frac{3}{2}]$ $\langle1\rangle$ $(\frac{3}{2})$ $x^3 + 9 b_{4} x + 3$ $8$ $0$ $6561$ $0$
3.6.4.18a $3$ $24$ $6$ $4$ $18$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + 3 d_{0}$ $24$ $0$ $1$ $0$
3.4.6.24a $3$ $24$ $4$ $6$ $24$ $[\frac{5}{4}]$ $[\frac{1}{4}]$ $\langle\frac{1}{6}\rangle$ $(\frac{1}{2})$ $x^6 + 3 a_{1} x + 3 d_{0}$ $8$ $0$ $80$ $0$
3.4.6.28a $3$ $24$ $4$ $6$ $28$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(1)$ $x^6 + 3 c_{3} x^3 + 3 a_{2} x^2 + 3 d_{0}$ $24$ $0$ $80$ $0$
3.4.6.36a $3$ $24$ $4$ $6$ $36$ $[2]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(2)$ $x^6 + 3 b_{5} x^5 + 3 a_{4} x^4 + 3 d_{0} + 9 c_{6}$ $24$ $0$ $6480$ $0$
3.4.6.40a $3$ $24$ $4$ $6$ $40$ $[\frac{9}{4}]$ $[\frac{5}{4}]$ $\langle\frac{5}{6}\rangle$ $(\frac{5}{2})$ $x^6 + 3 a_{5} x^5 + 9 b_{7} x + 3 d_{0}$ $8$ $0$ $6480$ $0$
3.4.6.44a $3$ $24$ $4$ $6$ $44$ $[\frac{5}{2}]$ $[\frac{3}{2}]$ $\langle1\rangle$ $(3)$ $x^6 + 9 c_{9} x^3 + 9 b_{8} x^2 + 9 b_{7} x + 3 d_{0}$ $24$ $0$ $6561$ $0$
3.3.8.21a $3$ $24$ $3$ $8$ $21$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^8 + 3 d_{0}$ $6$ $0$ $1$ $0$
3.2.12.24a $3$ $24$ $2$ $12$ $24$ $[\frac{9}{8}]$ $[\frac{1}{8}]$ $\langle\frac{1}{12}\rangle$ $(\frac{1}{2})$ $x^{12} + 3 a_{1} x + 3 d_{0}$ $8$ $0$ $8$ $0$
3.2.12.26a $3$ $24$ $2$ $12$ $26$ $[\frac{5}{4}]$ $[\frac{1}{4}]$ $\langle\frac{1}{6}\rangle$ $(1)$ $x^{12} + 3 c_{3} x^3 + 3 a_{2} x^2 + 3 d_{0}$ $24$ $0$ $8$ $0$
3.2.12.30a $3$ $24$ $2$ $12$ $30$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(2)$ $x^{12} + 3 c_{6} x^6 + 3 b_{5} x^5 + 3 a_{4} x^4 + 3 d_{0}$ $24$ $0$ $72$ $0$
3.2.12.32a $3$ $24$ $2$ $12$ $32$ $[\frac{13}{8}]$ $[\frac{5}{8}]$ $\langle\frac{5}{12}\rangle$ $(\frac{5}{2})$ $x^{12} + 3 b_{7} x^7 + 3 a_{5} x^5 + 3 d_{0}$ $8$ $0$ $72$ $0$
3.2.12.36a $3$ $24$ $2$ $12$ $36$ $[\frac{15}{8}]$ $[\frac{7}{8}]$ $\langle\frac{7}{12}\rangle$ $(\frac{7}{2})$ $x^{12} + 3 b_{10} x^{10} + 3 b_{8} x^8 + 3 a_{7} x^7 + 3 d_{0}$ $8$ $0$ $648$ $0$
3.2.12.38a $3$ $24$ $2$ $12$ $38$ $[2]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(4)$ $x^{12} + 3 b_{11} x^{11} + 3 b_{10} x^{10} + 3 a_{8} x^8 + 3 d_{0} + 9 c_{12}$ $24$ $0$ $648$ $0$
3.2.12.42a $3$ $24$ $2$ $12$ $42$ $[\frac{9}{4}]$ $[\frac{5}{4}]$ $\langle\frac{5}{6}\rangle$ $(5)$ $x^{12} + 3 b_{11} x^{11} + 3 a_{10} x^{10} + 9 c_{15} x^3 + 9 b_{14} x^2 + 9 b_{13} x + 3 d_{0}$ $24$ $0$ $5832$ $0$
3.2.12.44a $3$ $24$ $2$ $12$ $44$ $[\frac{19}{8}]$ $[\frac{11}{8}]$ $\langle\frac{11}{12}\rangle$ $(\frac{11}{2})$ $x^{12} + 3 a_{11} x^{11} + 9 b_{16} x^4 + 9 b_{14} x^2 + 9 b_{13} x + 3 d_{0}$ $8$ $0$ $5832$ $0$
3.2.12.46a $3$ $24$ $2$ $12$ $46$ $[\frac{5}{2}]$ $[\frac{3}{2}]$ $\langle1\rangle$ $(6)$ $x^{12} + 9 c_{18} x^6 + 9 b_{17} x^5 + 9 b_{16} x^4 + 9 b_{14} x^2 + 9 b_{13} x + 3 d_{0}$ $24$ $0$ $6561$ $0$
3.1.24.24a $3$ $24$ $1$ $24$ $24$ $[\frac{17}{16}]$ $[\frac{1}{16}]$ $\langle\frac{1}{24}\rangle$ $(\frac{1}{2})$ $x^{24} + 3 a_{1} x + 3 d_{0}$ $2$ $0$ $2$ $0$
3.1.24.25a $3$ $24$ $1$ $24$ $25$ $[\frac{9}{8}]$ $[\frac{1}{8}]$ $\langle\frac{1}{12}\rangle$ $(1)$ $x^{24} + 3 c_{3} x^3 + 3 a_{2} x^2 + 3 d_{0}$ $6$ $0$ $2$ $0$
3.1.24.27a $3$ $24$ $1$ $24$ $27$ $[\frac{5}{4}]$ $[\frac{1}{4}]$ $\langle\frac{1}{6}\rangle$ $(2)$ $x^{24} + 3 c_{6} x^6 + 3 b_{5} x^5 + 3 a_{4} x^4 + 3 d_{0}$ $6$ $0$ $6$ $0$
3.1.24.28a $3$ $24$ $1$ $24$ $28$ $[\frac{21}{16}]$ $[\frac{5}{16}]$ $\langle\frac{5}{24}\rangle$ $(\frac{5}{2})$ $x^{24} + 3 b_{7} x^7 + 3 a_{5} x^5 + 3 d_{0}$ $2$ $0$ $6$ $0$
3.1.24.30a $3$ $24$ $1$ $24$ $30$ $[\frac{23}{16}]$ $[\frac{7}{16}]$ $\langle\frac{7}{24}\rangle$ $(\frac{7}{2})$ $x^{24} + 3 b_{10} x^{10} + 3 b_{8} x^8 + 3 a_{7} x^7 + 3 d_{0}$ $2$ $0$ $18$ $0$
3.1.24.31a $3$ $24$ $1$ $24$ $31$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(4)$ $x^{24} + 3 c_{12} x^{12} + 3 b_{11} x^{11} + 3 b_{10} x^{10} + 3 a_{8} x^8 + 3 d_{0}$ $6$ $0$ $18$ $0$
3.1.24.33a $3$ $24$ $1$ $24$ $33$ $[\frac{13}{8}]$ $[\frac{5}{8}]$ $\langle\frac{5}{12}\rangle$ $(5)$ $x^{24} + 3 c_{15} x^{15} + 3 b_{14} x^{14} + 3 b_{13} x^{13} + 3 b_{11} x^{11} + 3 a_{10} x^{10} + 3 d_{0}$ $6$ $0$ $54$ $0$
3.1.24.34a $3$ $24$ $1$ $24$ $34$ $[\frac{27}{16}]$ $[\frac{11}{16}]$ $\langle\frac{11}{24}\rangle$ $(\frac{11}{2})$ $x^{24} + 3 b_{16} x^{16} + 3 b_{14} x^{14} + 3 b_{13} x^{13} + 3 a_{11} x^{11} + 3 d_{0}$ $2$ $0$ $54$ $0$
3.1.24.36a $3$ $24$ $1$ $24$ $36$ $[\frac{29}{16}]$ $[\frac{13}{16}]$ $\langle\frac{13}{24}\rangle$ $(\frac{13}{2})$ $x^{24} + 3 b_{19} x^{19} + 3 b_{17} x^{17} + 3 b_{16} x^{16} + 3 b_{14} x^{14} + 3 a_{13} x^{13} + 3 d_{0}$ $2$ $0$ $162$ $0$
3.1.24.37a $3$ $24$ $1$ $24$ $37$ $[\frac{15}{8}]$ $[\frac{7}{8}]$ $\langle\frac{7}{12}\rangle$ $(7)$ $x^{24} + 3 c_{21} x^{21} + 3 b_{20} x^{20} + 3 b_{19} x^{19} + 3 b_{17} x^{17} + 3 b_{16} x^{16} + 3 a_{14} x^{14} + 3 d_{0}$ $6$ $0$ $162$ $0$
3.1.24.39a $3$ $24$ $1$ $24$ $39$ $[2]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(8)$ $x^{24} + 3 b_{23} x^{23} + 3 b_{22} x^{22} + 3 b_{20} x^{20} + 3 b_{19} x^{19} + 3 b_{17} x^{17} + 3 a_{16} x^{16} + 3 d_{0} + 9 c_{24}$ $6$ $0$ $486$ $0$
3.1.24.40a $3$ $24$ $1$ $24$ $40$ $[\frac{33}{16}]$ $[\frac{17}{16}]$ $\langle\frac{17}{24}\rangle$ $(\frac{17}{2})$ $x^{24} + 3 b_{23} x^{23} + 3 b_{22} x^{22} + 3 b_{20} x^{20} + 3 b_{19} x^{19} + 3 a_{17} x^{17} + 9 b_{25} x + 3 d_{0}$ $2$ $0$ $486$ $0$
3.1.24.42a $3$ $24$ $1$ $24$ $42$ $[\frac{35}{16}]$ $[\frac{19}{16}]$ $\langle\frac{19}{24}\rangle$ $(\frac{19}{2})$ $x^{24} + 3 b_{23} x^{23} + 3 b_{22} x^{22} + 3 b_{20} x^{20} + 3 a_{19} x^{19} + 9 b_{28} x^4 + 9 b_{26} x^2 + 9 b_{25} x + 3 d_{0}$ $2$ $0$ $1458$ $0$
3.1.24.43a $3$ $24$ $1$ $24$ $43$ $[\frac{9}{4}]$ $[\frac{5}{4}]$ $\langle\frac{5}{6}\rangle$ $(10)$ $x^{24} + 3 b_{23} x^{23} + 3 b_{22} x^{22} + 3 a_{20} x^{20} + 9 c_{30} x^6 + 9 b_{29} x^5 + 9 b_{28} x^4 + 9 b_{26} x^2 + 9 b_{25} x + 3 d_{0}$ $6$ $0$ $1458$ $0$
3.1.24.45a $3$ $24$ $1$ $24$ $45$ $[\frac{19}{8}]$ $[\frac{11}{8}]$ $\langle\frac{11}{12}\rangle$ $(11)$ $x^{24} + 3 b_{23} x^{23} + 3 a_{22} x^{22} + 9 c_{33} x^9 + 9 b_{32} x^8 + 9 b_{31} x^7 + 9 b_{29} x^5 + 9 b_{28} x^4 + 9 b_{26} x^2 + 9 b_{25} x + 3 d_{0}$ $6$ $0$ $4374$ $0$
3.1.24.46a $3$ $24$ $1$ $24$ $46$ $[\frac{39}{16}]$ $[\frac{23}{16}]$ $\langle\frac{23}{24}\rangle$ $(\frac{23}{2})$ $x^{24} + 3 a_{23} x^{23} + 9 b_{34} x^{10} + 9 b_{32} x^8 + 9 b_{31} x^7 + 9 b_{29} x^5 + 9 b_{28} x^4 + 9 b_{26} x^2 + 9 b_{25} x + 3 d_{0}$ $2$ $0$ $4374$ $0$
3.1.24.47a $3$ $24$ $1$ $24$ $47$ $[\frac{5}{2}]$ $[\frac{3}{2}]$ $\langle1\rangle$ $(12)$ $x^{24} + 9 c_{36} x^{12} + 9 b_{35} x^{11} + 9 b_{34} x^{10} + 9 b_{32} x^8 + 9 b_{31} x^7 + 9 b_{29} x^5 + 9 b_{28} x^4 + 9 b_{26} x^2 + 9 b_{25} x + 3 d_{0}$ $6$ $0$ $6561$ $0$
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