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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
2.2.8.62a $2$ $16$ $2$ $8$ $62$ $\Q_{2}$ $[3, 4, 5]$ $[2, 3, 4]$ $\langle1, 2, 3\rangle$ $(2, 4, 8)$ $x^8 + 16 b_{31} x^7 + 8 b_{22} x^6 + 16 b_{29} x^5 + 4 b_{12} x^4 + 16 b_{27} x^3 + 8 b_{18} x^2 + 16 b_{25} x + 8 c_{16} + 16 c_{24} + 32 c_{32} + 2$ $16$ $17076$ $16384$
2.2.1.0a1.1-1.8.31a $2$ $8$ $1$ $8$ $31$ $\Q_{2}(\sqrt{5})$ $[3, 4, 5]$ $[2, 3, 4]$ $\langle1, 2, 3\rangle$ $(2, 4, 8)$ $x^8 + 16 b_{31} x^7 + 8 b_{22} x^6 + 16 b_{29} x^5 + 4 b_{12} x^4 + 16 b_{27} x^3 + 8 b_{18} x^2 + 16 b_{25} x + 8 c_{16} + 16 c_{24} + 32 c_{32} + 2$ $8$ $17076$ $16384$
2.1.2.3a1.1-2.4.38a $2$ $8$ $2$ $4$ $38$ $\Q_{2}(\sqrt{-2})$ $[3, 4, 5]$ $[4, 6]$ $\langle2, 4\rangle$ $(4, 8)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{16} \pi^5 + \pi$ $8$ $2192$ $4096$
2.1.2.3a1.2-2.4.38a $2$ $8$ $2$ $4$ $38$ $\Q_{2}(\sqrt{-2\cdot 5})$ $[3, 4, 5]$ $[4, 6]$ $\langle2, 4\rangle$ $(4, 8)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{16} \pi^5 + \pi$ $8$ $2192$ $4096$
2.1.2.3a1.3-2.4.38a $2$ $8$ $2$ $4$ $38$ $\Q_{2}(\sqrt{2})$ $[3, 4, 5]$ $[4, 6]$ $\langle2, 4\rangle$ $(4, 8)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{16} \pi^5 + \pi$ $8$ $2192$ $4096$
2.1.2.3a1.4-2.4.38a $2$ $8$ $2$ $4$ $38$ $\Q_{2}(\sqrt{2\cdot 5})$ $[3, 4, 5]$ $[4, 6]$ $\langle2, 4\rangle$ $(4, 8)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{16} \pi^5 + \pi$ $8$ $2192$ $4096$
2.2.2.6a1.1-1.4.19a $2$ $4$ $1$ $4$ $19$ 2.2.2.6a1.1 $[3, 4, 5]$ $[4, 6]$ $\langle2, 4\rangle$ $(4, 8)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{16} \pi^5 + \pi$ $4$ $2192$ $4096$
2.2.2.6a1.2-1.4.19a $2$ $4$ $1$ $4$ $19$ 2.2.2.6a1.2 $[3, 4, 5]$ $[4, 6]$ $\langle2, 4\rangle$ $(4, 8)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{16} \pi^5 + \pi$ $4$ $2120$ $4096$
2.2.2.6a1.3-1.4.19a $2$ $4$ $1$ $4$ $19$ 2.2.2.6a1.3 $[3, 4, 5]$ $[4, 6]$ $\langle2, 4\rangle$ $(4, 8)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{16} \pi^5 + \pi$ $4$ $4224$ $4096$
2.2.2.6a1.4-1.4.19a $2$ $4$ $1$ $4$ $19$ 2.2.2.6a1.4 $[3, 4, 5]$ $[4, 6]$ $\langle2, 4\rangle$ $(4, 8)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{16} \pi^5 + \pi$ $4$ $4224$ $4096$
2.2.2.6a1.5-1.4.19a $2$ $4$ $1$ $4$ $19$ 2.2.2.6a1.5 $[3, 4, 5]$ $[4, 6]$ $\langle2, 4\rangle$ $(4, 8)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{16} \pi^5 + \pi$ $4$ $2192$ $4096$
2.2.2.6a1.6-1.4.19a $2$ $4$ $1$ $4$ $19$ 2.2.2.6a1.6 $[3, 4, 5]$ $[4, 6]$ $\langle2, 4\rangle$ $(4, 8)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{16} \pi^5 + \pi$ $4$ $2124$ $4096$
2.1.4.11a1.1-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.1 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $152$ $256$
2.1.4.11a1.2-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.2 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $152$ $256$
2.1.4.11a1.3-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.3 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $86$ $256$
2.1.4.11a1.4-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.4 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $86$ $256$
2.1.4.11a1.5-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.5 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $152$ $256$
2.1.4.11a1.6-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.6 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $152$ $256$
2.1.4.11a1.7-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.7 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $86$ $256$
2.1.4.11a1.8-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.8 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $86$ $256$
2.1.4.11a1.9-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.9 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $80$ $256$
2.1.4.11a1.10-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.10 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $80$ $256$
2.1.4.11a1.11-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.11 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $80$ $256$
2.1.4.11a1.12-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.12 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $80$ $256$
2.1.4.11a1.13-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.13 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $152$ $256$
2.1.4.11a1.14-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.14 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $152$ $256$
2.1.4.11a1.15-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.15 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $80$ $256$
2.1.4.11a1.16-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.16 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $80$ $256$
2.1.4.11a1.17-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.17 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $80$ $256$
2.1.4.11a1.18-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.18 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $80$ $256$
2.1.4.11a1.19-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.19 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $152$ $256$
2.1.4.11a1.20-2.2.18a $2$ $4$ $2$ $2$ $18$ 2.1.4.11a1.20 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $4$ $152$ $256$
2.2.4.22a1.1-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.1 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $152$ $256$
2.2.4.22a1.2-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.2 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $140$ $256$
2.2.4.22a1.3-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.3 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $140$ $256$
2.2.4.22a1.4-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.4 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $152$ $256$
2.2.4.22a1.5-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.5 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $256$ $256$
2.2.4.22a1.6-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.6 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $256$ $256$
2.2.4.22a1.7-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.7 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $256$ $256$
2.2.4.22a1.8-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.8 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $256$ $256$
2.2.4.22a1.9-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.9 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $86$ $256$
2.2.4.22a1.10-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.10 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $70$ $256$
2.2.4.22a1.11-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.11 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $136$ $256$
2.2.4.22a1.12-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.12 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $136$ $256$
2.2.4.22a1.13-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.13 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $86$ $256$
2.2.4.22a1.14-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.14 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $70$ $256$
2.2.4.22a1.15-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.15 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $136$ $256$
2.2.4.22a1.16-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.16 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $140$ $256$
2.2.4.22a1.17-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.17 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $136$ $256$
2.2.4.22a1.18-1.2.9a $2$ $2$ $1$ $2$ $9$ 2.2.4.22a1.18 $[3, 4, 5]$ $[8]$ $\langle4\rangle$ $(8)$ $x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ $2$ $140$ $256$
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