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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
2.2.16.68i $2$ $32$ $2$ $16$ $68$ $\Q_{2}$ $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[\frac{1}{3}, \frac{1}{3}, 1, \frac{7}{4}]$ $\langle\frac{1}{6}, \frac{1}{4}, \frac{5}{8}, \frac{19}{16}\rangle$ $(\frac{1}{3}, \frac{1}{3}, 3, 9)$ $x^{16} + 2 b_{14} x^{14} + 4 c_{28} x^{12} + 4 b_{27} x^{11} + 2 a_{10} x^{10} + 4 b_{25} x^9 + 4 b_{23} x^7 + 4 b_{21} x^5 + 2 a_{4} x^4 + 4 a_{19} x^3 + 4 c_{16} + 2$ $8$ $0$ $27648$
2.2.1.0a1.1-1.16.34i $2$ $16$ $1$ $16$ $34$ $\Q_{2}(\sqrt{5})$ $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[\frac{1}{3}, \frac{1}{3}, 1, \frac{7}{4}]$ $\langle\frac{1}{6}, \frac{1}{4}, \frac{5}{8}, \frac{19}{16}\rangle$ $(\frac{1}{3}, \frac{1}{3}, 3, 9)$ $x^{16} + 2 b_{14} x^{14} + 4 c_{28} x^{12} + 4 b_{27} x^{11} + 2 a_{10} x^{10} + 4 b_{25} x^9 + 4 b_{23} x^7 + 4 b_{21} x^5 + 2 a_{4} x^4 + 4 a_{19} x^3 + 4 c_{16} + 2$ $4$ $0$ $27648$
2.1.2.2a1.1-2.8.36b $2$ $16$ $2$ $8$ $36$ $\Q_{2}(\sqrt{-1})$ $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[\frac{1}{3}, \frac{1}{3}, \frac{5}{2}]$ $\langle\frac{1}{6}, \frac{1}{4}, \frac{11}{8}\rangle$ $(\frac{1}{3}, \frac{1}{3}, 9)$ $x^8 + b_{15} \pi^2 x^7 + b_{13} \pi^2 x^5 + c_{20} \pi^3 x^4 + (b_{19} \pi^3 + a_{11} \pi^2) x^3 + a_{2} \pi x^2 + b_{17} \pi^3 x + \pi$ $4$ $0$ $2304$
2.1.2.2a1.2-2.8.36b $2$ $16$ $2$ $8$ $36$ $\Q_{2}(\sqrt{-5})$ $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[\frac{1}{3}, \frac{1}{3}, \frac{5}{2}]$ $\langle\frac{1}{6}, \frac{1}{4}, \frac{11}{8}\rangle$ $(\frac{1}{3}, \frac{1}{3}, 9)$ $x^8 + b_{15} \pi^2 x^7 + b_{13} \pi^2 x^5 + c_{20} \pi^3 x^4 + (b_{19} \pi^3 + a_{11} \pi^2) x^3 + a_{2} \pi x^2 + b_{17} \pi^3 x + \pi$ $4$ $0$ $2304$
2.2.2.4a1.1-1.8.18b $2$ $8$ $1$ $8$ $18$ 2.2.2.4a1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[\frac{1}{3}, \frac{1}{3}, \frac{5}{2}]$ $\langle\frac{1}{6}, \frac{1}{4}, \frac{11}{8}\rangle$ $(\frac{1}{3}, \frac{1}{3}, 9)$ $x^8 + b_{15} \pi^2 x^7 + b_{13} \pi^2 x^5 + c_{20} \pi^3 x^4 + (b_{19} \pi^3 + a_{11} \pi^2) x^3 + a_{2} \pi x^2 + b_{17} \pi^3 x + \pi$ $2$ $0$ $2304$
2.2.2.4a1.2-1.8.18b $2$ $8$ $1$ $8$ $18$ 2.2.2.4a1.2 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[\frac{1}{3}, \frac{1}{3}, \frac{5}{2}]$ $\langle\frac{1}{6}, \frac{1}{4}, \frac{11}{8}\rangle$ $(\frac{1}{3}, \frac{1}{3}, 9)$ $x^8 + b_{15} \pi^2 x^7 + b_{13} \pi^2 x^5 + c_{20} \pi^3 x^4 + (b_{19} \pi^3 + a_{11} \pi^2) x^3 + a_{2} \pi x^2 + b_{17} \pi^3 x + \pi$ $2$ $0$ $2304$
2.2.2.4a2.1-1.8.18b $2$ $8$ $1$ $8$ $18$ 2.2.2.4a2.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[\frac{1}{3}, \frac{1}{3}, \frac{5}{2}]$ $\langle\frac{1}{6}, \frac{1}{4}, \frac{11}{8}\rangle$ $(\frac{1}{3}, \frac{1}{3}, 9)$ $x^8 + b_{15} \pi^2 x^7 + b_{13} \pi^2 x^5 + c_{20} \pi^3 x^4 + (b_{19} \pi^3 + a_{11} \pi^2) x^3 + a_{2} \pi x^2 + b_{17} \pi^3 x + \pi$ $2$ $0$ $2304$
2.2.2.4a2.2-1.8.18b $2$ $8$ $1$ $8$ $18$ 2.2.2.4a2.2 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[\frac{1}{3}, \frac{1}{3}, \frac{5}{2}]$ $\langle\frac{1}{6}, \frac{1}{4}, \frac{11}{8}\rangle$ $(\frac{1}{3}, \frac{1}{3}, 9)$ $x^8 + b_{15} \pi^2 x^7 + b_{13} \pi^2 x^5 + c_{20} \pi^3 x^4 + (b_{19} \pi^3 + a_{11} \pi^2) x^3 + a_{2} \pi x^2 + b_{17} \pi^3 x + \pi$ $2$ $0$ $2304$
2.1.4.4a1.1-2.4.36c $2$ $8$ $2$ $4$ $36$ 2.1.4.4a1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[3, 6]$ $\langle\frac{3}{2}, \frac{15}{4}\rangle$ $(3, 9)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5 + a_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{12} \pi^4 + \pi$ $8$ $0$ $9216$
2.2.4.8a1.1-1.4.18c $2$ $4$ $1$ $4$ $18$ 2.2.4.8a1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[3, 6]$ $\langle\frac{3}{2}, \frac{15}{4}\rangle$ $(3, 9)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5 + a_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{12} \pi^4 + \pi$ $4$ $0$ $9216$
2.2.4.8a2.1-1.4.18c $2$ $4$ $1$ $4$ $18$ 2.2.4.8a2.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[3, 6]$ $\langle\frac{3}{2}, \frac{15}{4}\rangle$ $(3, 9)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5 + a_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{12} \pi^4 + \pi$ $4$ $0$ $9216$
2.1.8.12b1.1-2.2.20a $2$ $4$ $2$ $2$ $20$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[9]$ $\langle\frac{9}{2}\rangle$ $(9)$ $x^2 + (b_{17} \pi^9 + b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + a_{9} \pi^5) x + c_{18} \pi^{10} + \pi$ $4$ $0$ $768$
2.1.8.12b1.2-2.2.20a $2$ $4$ $2$ $2$ $20$ 2.1.8.12b1.2 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[9]$ $\langle\frac{9}{2}\rangle$ $(9)$ $x^2 + (b_{17} \pi^9 + b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + a_{9} \pi^5) x + c_{18} \pi^{10} + \pi$ $4$ $0$ $768$
2.1.8.12b1.3-2.2.20a $2$ $4$ $2$ $2$ $20$ 2.1.8.12b1.3 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[9]$ $\langle\frac{9}{2}\rangle$ $(9)$ $x^2 + (b_{17} \pi^9 + b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + a_{9} \pi^5) x + c_{18} \pi^{10} + \pi$ $4$ $0$ $768$
2.1.8.12b1.4-2.2.20a $2$ $4$ $2$ $2$ $20$ 2.1.8.12b1.4 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[9]$ $\langle\frac{9}{2}\rangle$ $(9)$ $x^2 + (b_{17} \pi^9 + b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + a_{9} \pi^5) x + c_{18} \pi^{10} + \pi$ $4$ $0$ $768$
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