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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
2.4.8.96c $2$ $32$ $4$ $8$ $96$ $\Q_{2}$ $[2, 3, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + 8 b_{23} x^7 + 4 b_{14} x^6 + 8 b_{21} x^5 + 2 a_{4} x^4 + 8 b_{19} x^3 + 4 a_{10} x^2 + 8 a_{17} x + 4 c_{8} + 8 c_{16} + 16 c_{24} + 2$ $32$ $0$ $221184000$
2.2.1.0a1.1-2.8.48c $2$ $16$ $2$ $8$ $48$ $\Q_{2}(\sqrt{5})$ $[2, 3, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + 8 b_{23} x^7 + 4 b_{14} x^6 + 8 b_{21} x^5 + 2 a_{4} x^4 + 8 b_{19} x^3 + 4 a_{10} x^2 + 8 a_{17} x + 4 c_{8} + 8 c_{16} + 16 c_{24} + 2$ $16$ $0$ $221184000$
2.1.2.2a1.1-4.4.64a $2$ $16$ $4$ $4$ $64$ $\Q_{2}(\sqrt{-1})$ $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $16$ $0$ $14745600$
2.1.2.2a1.2-4.4.64a $2$ $16$ $4$ $4$ $64$ $\Q_{2}(\sqrt{-5})$ $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $16$ $0$ $14745600$
2.1.2.3a1.1-4.4.48b $2$ $16$ $4$ $4$ $48$ $\Q_{2}(\sqrt{-2})$ $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $16$ $0$ $921600$
2.1.2.3a1.2-4.4.48b $2$ $16$ $4$ $4$ $48$ $\Q_{2}(\sqrt{-2\cdot 5})$ $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $16$ $0$ $921600$
2.1.2.3a1.3-4.4.48b $2$ $16$ $4$ $4$ $48$ $\Q_{2}(\sqrt{2})$ $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $16$ $0$ $921600$
2.1.2.3a1.4-4.4.48b $2$ $16$ $4$ $4$ $48$ $\Q_{2}(\sqrt{2\cdot 5})$ $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $16$ $0$ $921600$
2.4.1.0a1.1-1.8.24c $2$ $8$ $1$ $8$ $24$ 2.4.1.0a1.1 $[2, 3, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + 8 b_{23} x^7 + 4 b_{14} x^6 + 8 b_{21} x^5 + 2 a_{4} x^4 + 8 b_{19} x^3 + 4 a_{10} x^2 + 8 a_{17} x + 4 c_{8} + 8 c_{16} + 16 c_{24} + 2$ $8$ $0$ $221184000$
2.2.2.4a1.1-2.4.32a $2$ $8$ $2$ $4$ $32$ 2.2.2.4a1.1 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $8$ $0$ $14745600$
2.2.2.4a1.2-2.4.32a $2$ $8$ $2$ $4$ $32$ 2.2.2.4a1.2 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $8$ $0$ $14745600$
2.2.2.4a2.1-2.4.32a $2$ $8$ $2$ $4$ $32$ 2.2.2.4a2.1 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $8$ $0$ $14745600$
2.2.2.4a2.2-2.4.32a $2$ $8$ $2$ $4$ $32$ 2.2.2.4a2.2 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $8$ $0$ $14745600$
2.2.2.6a1.1-2.4.24b $2$ $8$ $2$ $4$ $24$ 2.2.2.6a1.1 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $8$ $0$ $921600$
2.2.2.6a1.2-2.4.24b $2$ $8$ $2$ $4$ $24$ 2.2.2.6a1.2 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $8$ $0$ $921600$
2.2.2.6a1.3-2.4.24b $2$ $8$ $2$ $4$ $24$ 2.2.2.6a1.3 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $8$ $0$ $921600$
2.2.2.6a1.4-2.4.24b $2$ $8$ $2$ $4$ $24$ 2.2.2.6a1.4 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $8$ $0$ $921600$
2.2.2.6a1.5-2.4.24b $2$ $8$ $2$ $4$ $24$ 2.2.2.6a1.5 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $8$ $0$ $921600$
2.2.2.6a1.6-2.4.24b $2$ $8$ $2$ $4$ $24$ 2.2.2.6a1.6 $[2, 3, 4]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $8$ $0$ $921600$
2.1.4.8b1.1-4.2.32a $2$ $8$ $4$ $2$ $32$ 2.1.4.8b1.1 $[2, 3, 4]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $8$ $0$ $61440$
2.1.4.8b1.2-4.2.32a $2$ $8$ $4$ $2$ $32$ 2.1.4.8b1.2 $[2, 3, 4]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $8$ $0$ $61440$
2.1.4.8b1.3-4.2.32a $2$ $8$ $4$ $2$ $32$ 2.1.4.8b1.3 $[2, 3, 4]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $8$ $0$ $61440$
2.1.4.8b1.4-4.2.32a $2$ $8$ $4$ $2$ $32$ 2.1.4.8b1.4 $[2, 3, 4]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $8$ $0$ $61440$
2.1.4.8b1.5-4.2.32a $2$ $8$ $4$ $2$ $32$ 2.1.4.8b1.5 $[2, 3, 4]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $8$ $0$ $61440$
2.1.4.8b1.6-4.2.32a $2$ $8$ $4$ $2$ $32$ 2.1.4.8b1.6 $[2, 3, 4]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $8$ $0$ $61440$
2.1.4.11a1.1-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.1 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.2-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.2 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.3-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.3 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.4-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.4 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.5-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.5 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.6-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.6 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.7-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.7 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.8-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.8 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.9-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.9 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.10-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.10 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.11-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.11 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.12-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.12 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.13-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.13 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.14-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.14 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.15-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.15 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.16-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.16 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.17-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.17 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.18-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.18 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.19-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.19 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.1.4.11a1.20-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.1.4.11a1.20 $[2, 3, 4]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $15$
2.4.2.8a1.1-1.4.16a $2$ $4$ $1$ $4$ $16$ 2.4.2.8a1.1 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $4$ $0$ $14745600$
2.4.2.8a1.2-1.4.16a $2$ $4$ $1$ $4$ $16$ 2.4.2.8a1.2 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $4$ $0$ $14745600$
2.4.2.8a2.1-1.4.16a $2$ $4$ $1$ $4$ $16$ 2.4.2.8a2.1 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $4$ $0$ $14745600$
2.4.2.8a2.2-1.4.16a $2$ $4$ $1$ $4$ $16$ 2.4.2.8a2.2 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $4$ $0$ $14745600$
2.4.2.8a3.1-1.4.16a $2$ $4$ $1$ $4$ $16$ 2.4.2.8a3.1 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $4$ $0$ $14745600$
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