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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
2.3.8.72c $2$ $24$ $3$ $8$ $72$ $\Q_{2}$ $[2, 3, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + 8 b_{23} x^7 + 4 b_{14} x^6 + 8 b_{21} x^5 + 2 a_{4} x^4 + 8 b_{19} x^3 + 4 a_{10} x^2 + 8 a_{17} x + 4 c_{8} + 8 c_{16} + 16 c_{24} + 2$ $24$ $0$ $1404928$
2.1.2.2a1.1-3.4.48a $2$ $12$ $3$ $4$ $48$ $\Q_{2}(\sqrt{-1})$ $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $12$ $0$ $200704$
2.1.2.2a1.2-3.4.48a $2$ $12$ $3$ $4$ $48$ $\Q_{2}(\sqrt{-5})$ $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $12$ $0$ $200704$
2.1.2.3a1.1-3.4.36b $2$ $12$ $3$ $4$ $36$ $\Q_{2}(\sqrt{-2})$ $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $12$ $0$ $25088$
2.1.2.3a1.2-3.4.36b $2$ $12$ $3$ $4$ $36$ $\Q_{2}(\sqrt{-2\cdot 5})$ $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $12$ $0$ $25088$
2.1.2.3a1.3-3.4.36b $2$ $12$ $3$ $4$ $36$ $\Q_{2}(\sqrt{2})$ $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $12$ $0$ $25088$
2.1.2.3a1.4-3.4.36b $2$ $12$ $3$ $4$ $36$ $\Q_{2}(\sqrt{2\cdot 5})$ $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $12$ $0$ $25088$
2.3.1.0a1.1-1.8.24c $2$ $8$ $1$ $8$ $24$ 2.3.1.0a1.1 $[2, 3, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + 8 b_{23} x^7 + 4 b_{14} x^6 + 8 b_{21} x^5 + 2 a_{4} x^4 + 8 b_{19} x^3 + 4 a_{10} x^2 + 8 a_{17} x + 4 c_{8} + 8 c_{16} + 16 c_{24} + 2$ $8$ $0$ $1404928$
2.1.4.8b1.1-3.2.24a $2$ $6$ $3$ $2$ $24$ 2.1.4.8b1.1 $[2, 3, 4]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $6$ $0$ $3584$
2.1.4.8b1.2-3.2.24a $2$ $6$ $3$ $2$ $24$ 2.1.4.8b1.2 $[2, 3, 4]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $6$ $0$ $3584$
2.1.4.8b1.3-3.2.24a $2$ $6$ $3$ $2$ $24$ 2.1.4.8b1.3 $[2, 3, 4]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $6$ $0$ $3584$
2.1.4.8b1.4-3.2.24a $2$ $6$ $3$ $2$ $24$ 2.1.4.8b1.4 $[2, 3, 4]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $6$ $0$ $3584$
2.1.4.8b1.5-3.2.24a $2$ $6$ $3$ $2$ $24$ 2.1.4.8b1.5 $[2, 3, 4]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $6$ $0$ $3584$
2.1.4.8b1.6-3.2.24a $2$ $6$ $3$ $2$ $24$ 2.1.4.8b1.6 $[2, 3, 4]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $6$ $0$ $3584$
2.1.4.11a1.1-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.1 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.2-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.2 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.3-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.3 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.4-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.4 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.5-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.5 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.6-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.6 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.7-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.7 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.8-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.8 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.9-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.9 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.10-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.10 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.11-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.11 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.12-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.12 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.13-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.13 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.14-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.14 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.15-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.15 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.16-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.16 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.17-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.17 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.18-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.18 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.19-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.19 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.1.4.11a1.20-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.1.4.11a1.20 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $7$
2.3.2.6a1.1-1.4.16a $2$ $4$ $1$ $4$ $16$ 2.3.2.6a1.1 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $4$ $0$ $200704$
2.3.2.6a1.2-1.4.16a $2$ $4$ $1$ $4$ $16$ 2.3.2.6a1.2 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $4$ $0$ $200704$
2.3.2.6a2.1-1.4.16a $2$ $4$ $1$ $4$ $16$ 2.3.2.6a2.1 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $4$ $0$ $200704$
2.3.2.6a2.2-1.4.16a $2$ $4$ $1$ $4$ $16$ 2.3.2.6a2.2 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $4$ $0$ $200704$
2.3.2.6a3.1-1.4.16a $2$ $4$ $1$ $4$ $16$ 2.3.2.6a3.1 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $4$ $0$ $200704$
2.3.2.6a3.2-1.4.16a $2$ $4$ $1$ $4$ $16$ 2.3.2.6a3.2 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $4$ $0$ $200704$
2.3.2.9a1.1-1.4.12b $2$ $4$ $1$ $4$ $12$ 2.3.2.9a1.1 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $4$ $0$ $25088$
2.3.2.9a1.2-1.4.12b $2$ $4$ $1$ $4$ $12$ 2.3.2.9a1.2 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $4$ $0$ $25088$
2.3.2.9a1.3-1.4.12b $2$ $4$ $1$ $4$ $12$ 2.3.2.9a1.3 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $4$ $0$ $25088$
2.3.2.9a1.4-1.4.12b $2$ $4$ $1$ $4$ $12$ 2.3.2.9a1.4 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $4$ $0$ $25088$
2.3.2.9a1.5-1.4.12b $2$ $4$ $1$ $4$ $12$ 2.3.2.9a1.5 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $4$ $0$ $25088$
2.3.2.9a1.6-1.4.12b $2$ $4$ $1$ $4$ $12$ 2.3.2.9a1.6 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $4$ $0$ $25088$
2.3.2.9a1.7-1.4.12b $2$ $4$ $1$ $4$ $12$ 2.3.2.9a1.7 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $4$ $0$ $25088$
2.3.2.9a1.8-1.4.12b $2$ $4$ $1$ $4$ $12$ 2.3.2.9a1.8 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $4$ $0$ $25088$
2.1.8.24c1.1-3.1.0a $2$ $3$ $3$ $1$ $0$ 2.1.8.24c1.1 $[2, 3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $0$ $1$
2.1.8.24c1.2-3.1.0a $2$ $3$ $3$ $1$ $0$ 2.1.8.24c1.2 $[2, 3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $0$ $1$
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