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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
2.1.20.59a $2$ $20$ $1$ $20$ $59$ $\Q_{2}$ $[3, 4]$ $[2, 3]$ $\langle1, 2\rangle$ $(10, 20)$ $x^{20} + 8 b_{59} x^{19} + 4 b_{38} x^{18} + 8 b_{57} x^{17} + 8 b_{55} x^{15} + 4 b_{34} x^{14} + 8 b_{53} x^{13} + 8 b_{51} x^{11} + 4 b_{30} x^{10} + 8 b_{49} x^9 + 8 b_{47} x^7 + 4 b_{26} x^6 + 8 b_{45} x^5 + 8 b_{43} x^3 + 4 b_{22} x^2 + 8 b_{41} x + 8 c_{40} + 16 c_{60} + 2$ $4$ $66560$ $32768$
2.1.2.3a1.1-1.10.29a $2$ $10$ $1$ $10$ $29$ $\Q_{2}(\sqrt{-2})$ $[3, 4]$ $[4]$ $\langle2\rangle$ $(20)$ $x^{10} + (b_{39} \pi^4 + b_{29} \pi^3) x^9 + (b_{37} \pi^4 + b_{27} \pi^3) x^7 + (b_{35} \pi^4 + b_{25} \pi^3) x^5 + (b_{33} \pi^4 + b_{23} \pi^3) x^3 + (b_{31} \pi^4 + b_{21} \pi^3) x + c_{40} \pi^5 + \pi$ $2$ $1024$ $1024$
2.1.2.3a1.2-1.10.29a $2$ $10$ $1$ $10$ $29$ $\Q_{2}(\sqrt{-2\cdot 5})$ $[3, 4]$ $[4]$ $\langle2\rangle$ $(20)$ $x^{10} + (b_{39} \pi^4 + b_{29} \pi^3) x^9 + (b_{37} \pi^4 + b_{27} \pi^3) x^7 + (b_{35} \pi^4 + b_{25} \pi^3) x^5 + (b_{33} \pi^4 + b_{23} \pi^3) x^3 + (b_{31} \pi^4 + b_{21} \pi^3) x + c_{40} \pi^5 + \pi$ $2$ $1024$ $1024$
2.1.2.3a1.3-1.10.29a $2$ $10$ $1$ $10$ $29$ $\Q_{2}(\sqrt{2})$ $[3, 4]$ $[4]$ $\langle2\rangle$ $(20)$ $x^{10} + (b_{39} \pi^4 + b_{29} \pi^3) x^9 + (b_{37} \pi^4 + b_{27} \pi^3) x^7 + (b_{35} \pi^4 + b_{25} \pi^3) x^5 + (b_{33} \pi^4 + b_{23} \pi^3) x^3 + (b_{31} \pi^4 + b_{21} \pi^3) x + c_{40} \pi^5 + \pi$ $2$ $1056$ $1024$
2.1.2.3a1.4-1.10.29a $2$ $10$ $1$ $10$ $29$ $\Q_{2}(\sqrt{2\cdot 5})$ $[3, 4]$ $[4]$ $\langle2\rangle$ $(20)$ $x^{10} + (b_{39} \pi^4 + b_{29} \pi^3) x^9 + (b_{37} \pi^4 + b_{27} \pi^3) x^7 + (b_{35} \pi^4 + b_{25} \pi^3) x^5 + (b_{33} \pi^4 + b_{23} \pi^3) x^3 + (b_{31} \pi^4 + b_{21} \pi^3) x + c_{40} \pi^5 + \pi$ $2$ $1056$ $1024$
2.1.4.11a1.1-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.1 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.2-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.2 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.3-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.3 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.4-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.4 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.5-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.5 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.6-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.6 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.7-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.7 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.8-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.8 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.9-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.9 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.10-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.10 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.11-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.11 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.12-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.12 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.13-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.13 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.14-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.14 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.15-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.15 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.16-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.16 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.17-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.17 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.18-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.18 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.19-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.19 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.4.11a1.20-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.1.4.11a1.20 $[3, 4]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.1.5.4a1.1-1.4.43a $2$ $4$ $1$ $4$ $43$ 2.1.5.4a1.1 $[3, 4]$ $[10, 15]$ $\langle5, 10\rangle$ $(10, 20)$ $x^4 + (b_{59} \pi^{15} + b_{55} \pi^{14} + b_{51} \pi^{13} + b_{47} \pi^{12} + b_{43} \pi^{11}) x^3 + (b_{38} \pi^{10} + b_{34} \pi^9 + b_{30} \pi^8 + b_{26} \pi^7 + b_{22} \pi^6) x^2 + (b_{57} \pi^{15} + b_{53} \pi^{14} + b_{49} \pi^{13} + b_{45} \pi^{12} + b_{41} \pi^{11}) x + c_{60} \pi^{16} + c_{40} \pi^{11} + \pi$ $4$ $66560$ $32768$
2.1.10.19a1.1-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.1 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.2-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.2 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.3-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.3 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.4-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.4 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.5-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.5 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.6-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.6 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.7-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.7 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.8-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.8 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.9-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.9 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1056$ $1024$
2.1.10.19a1.10-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.10 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1056$ $1024$
2.1.10.19a1.11-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.11 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1056$ $1024$
2.1.10.19a1.12-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.12 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1056$ $1024$
2.1.10.19a1.13-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.13 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1056$ $1024$
2.1.10.19a1.14-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.14 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1056$ $1024$
2.1.10.19a1.15-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.15 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1056$ $1024$
2.1.10.19a1.16-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.16 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1056$ $1024$
2.1.10.19a1.17-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.17 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.18-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.18 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.19-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.19 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.20-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.20 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.21-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.21 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.22-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.22 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.23-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.23 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
2.1.10.19a1.24-1.2.21a $2$ $2$ $1$ $2$ $21$ 2.1.10.19a1.24 $[3, 4]$ $[20]$ $\langle10\rangle$ $(20)$ $x^2 + (b_{39} \pi^{20} + b_{37} \pi^{19} + b_{35} \pi^{18} + b_{33} \pi^{17} + b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11}) x + c_{40} \pi^{21} + \pi$ $2$ $1024$ $1024$
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