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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
2.1.32.110dw $2$ $32$ $1$ $32$ $110$ $\Q_{2}$ $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, 2, \frac{13}{6}, \frac{13}{6}, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{41}{24}, \frac{31}{16}, \frac{79}{32}\rangle$ $(1, 3, \frac{11}{3}, \frac{11}{3}, 17)$ $x^{32} + 8 b_{95} x^{31} + 4 a_{62} x^{30} + 8 b_{93} x^{29} + 4 b_{60} x^{28} + 8 b_{91} x^{27} + 8 b_{89} x^{25} + 4 b_{56} x^{24} + 8 b_{87} x^{23} + 8 b_{85} x^{21} + 8 b_{83} x^{19} + 8 b_{81} x^{17} + 2 a_{16} x^{16} + 8 a_{79} x^{15} + 4 a_{40} x^8 + 8 b_{68} x^4 + 8 b_{66} x^2 + 4 c_{32} + 8 c_{64} + 16 c_{96} + 2$ $8$ $0$ $4096$
2.1.2.2a1.1-1.16.78bl $2$ $16$ $1$ $16$ $78$ $\Q_{2}(\sqrt{-1})$ $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[3, \frac{10}{3}, \frac{10}{3}, 5]$ $\langle\frac{3}{2}, \frac{29}{12}, \frac{23}{8}, \frac{63}{16}\rangle$ $(3, \frac{11}{3}, \frac{11}{3}, 17)$ $x^{16} + (b_{79} \pi^5 + a_{63} \pi^4) x^{15} + a_{46} \pi^3 x^{14} + b_{77} \pi^5 x^{13} + b_{44} \pi^3 x^{12} + b_{75} \pi^5 x^{11} + b_{73} \pi^5 x^9 + (b_{40} \pi^3 + a_{24} \pi^2) x^8 + b_{71} \pi^5 x^7 + b_{69} \pi^5 x^5 + b_{52} \pi^4 x^4 + b_{67} \pi^5 x^3 + b_{50} \pi^4 x^2 + b_{65} \pi^5 x + c_{80} \pi^6 + c_{48} \pi^4 + \pi$ $4$ $0$ $4096$
2.1.2.2a1.2-1.16.78bl $2$ $16$ $1$ $16$ $78$ $\Q_{2}(\sqrt{-5})$ $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[3, \frac{10}{3}, \frac{10}{3}, 5]$ $\langle\frac{3}{2}, \frac{29}{12}, \frac{23}{8}, \frac{63}{16}\rangle$ $(3, \frac{11}{3}, \frac{11}{3}, 17)$ $x^{16} + (b_{79} \pi^5 + a_{63} \pi^4) x^{15} + a_{46} \pi^3 x^{14} + b_{77} \pi^5 x^{13} + b_{44} \pi^3 x^{12} + b_{75} \pi^5 x^{11} + b_{73} \pi^5 x^9 + (b_{40} \pi^3 + a_{24} \pi^2) x^8 + b_{71} \pi^5 x^7 + b_{69} \pi^5 x^5 + b_{52} \pi^4 x^4 + b_{67} \pi^5 x^3 + b_{50} \pi^4 x^2 + b_{65} \pi^5 x + c_{80} \pi^6 + c_{48} \pi^4 + \pi$ $4$ $0$ $4096$
2.1.2.3a1.1-1.16.62bg $2$ $16$ $1$ $16$ $62$ $\Q_{2}(\sqrt{-2})$ $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}, 4]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}, \frac{47}{16}\rangle$ $(1, \frac{11}{3}, \frac{11}{3}, 17)$ $x^{16} + (b_{63} \pi^4 + a_{47} \pi^3) x^{15} + a_{30} \pi^2 x^{14} + b_{61} \pi^4 x^{13} + b_{28} \pi^2 x^{12} + b_{59} \pi^4 x^{11} + b_{57} \pi^4 x^9 + a_{8} \pi x^8 + b_{55} \pi^4 x^7 + b_{53} \pi^4 x^5 + b_{36} \pi^3 x^4 + b_{51} \pi^4 x^3 + b_{34} \pi^3 x^2 + b_{49} \pi^4 x + c_{64} \pi^5 + c_{16} \pi^2 + \pi$ $4$ $0$ $2048$
2.1.2.3a1.2-1.16.62bg $2$ $16$ $1$ $16$ $62$ $\Q_{2}(\sqrt{-2\cdot 5})$ $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}, 4]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}, \frac{47}{16}\rangle$ $(1, \frac{11}{3}, \frac{11}{3}, 17)$ $x^{16} + (b_{63} \pi^4 + a_{47} \pi^3) x^{15} + a_{30} \pi^2 x^{14} + b_{61} \pi^4 x^{13} + b_{28} \pi^2 x^{12} + b_{59} \pi^4 x^{11} + b_{57} \pi^4 x^9 + a_{8} \pi x^8 + b_{55} \pi^4 x^7 + b_{53} \pi^4 x^5 + b_{36} \pi^3 x^4 + b_{51} \pi^4 x^3 + b_{34} \pi^3 x^2 + b_{49} \pi^4 x + c_{64} \pi^5 + c_{16} \pi^2 + \pi$ $4$ $0$ $2048$
2.1.2.3a1.3-1.16.62bg $2$ $16$ $1$ $16$ $62$ $\Q_{2}(\sqrt{2})$ $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}, 4]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}, \frac{47}{16}\rangle$ $(1, \frac{11}{3}, \frac{11}{3}, 17)$ $x^{16} + (b_{63} \pi^4 + a_{47} \pi^3) x^{15} + a_{30} \pi^2 x^{14} + b_{61} \pi^4 x^{13} + b_{28} \pi^2 x^{12} + b_{59} \pi^4 x^{11} + b_{57} \pi^4 x^9 + a_{8} \pi x^8 + b_{55} \pi^4 x^7 + b_{53} \pi^4 x^5 + b_{36} \pi^3 x^4 + b_{51} \pi^4 x^3 + b_{34} \pi^3 x^2 + b_{49} \pi^4 x + c_{64} \pi^5 + c_{16} \pi^2 + \pi$ $4$ $0$ $2048$
2.1.2.3a1.4-1.16.62bg $2$ $16$ $1$ $16$ $62$ $\Q_{2}(\sqrt{2\cdot 5})$ $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}, 4]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}, \frac{47}{16}\rangle$ $(1, \frac{11}{3}, \frac{11}{3}, 17)$ $x^{16} + (b_{63} \pi^4 + a_{47} \pi^3) x^{15} + a_{30} \pi^2 x^{14} + b_{61} \pi^4 x^{13} + b_{28} \pi^2 x^{12} + b_{59} \pi^4 x^{11} + b_{57} \pi^4 x^9 + a_{8} \pi x^8 + b_{55} \pi^4 x^7 + b_{53} \pi^4 x^5 + b_{36} \pi^3 x^4 + b_{51} \pi^4 x^3 + b_{34} \pi^3 x^2 + b_{49} \pi^4 x + c_{64} \pi^5 + c_{16} \pi^2 + \pi$ $4$ $0$ $2048$
2.1.4.8b1.1-1.8.46e $2$ $8$ $1$ $8$ $46$ 2.1.4.8b1.1 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}, 7]$ $\langle\frac{11}{6}, \frac{11}{4}, \frac{39}{8}\rangle$ $(\frac{11}{3}, \frac{11}{3}, 17)$ $x^8 + (b_{55} \pi^7 + b_{47} \pi^6 + a_{39} \pi^5) x^7 + a_{22} \pi^3 x^6 + (b_{53} \pi^7 + b_{45} \pi^6) x^5 + (b_{28} \pi^4 + b_{20} \pi^3) x^4 + (b_{51} \pi^7 + b_{43} \pi^6) x^3 + b_{26} \pi^4 x^2 + (b_{49} \pi^7 + b_{41} \pi^6) x + c_{56} \pi^8 + \pi$ $2$ $0$ $2048$
2.1.4.8b1.2-1.8.46e $2$ $8$ $1$ $8$ $46$ 2.1.4.8b1.2 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}, 7]$ $\langle\frac{11}{6}, \frac{11}{4}, \frac{39}{8}\rangle$ $(\frac{11}{3}, \frac{11}{3}, 17)$ $x^8 + (b_{55} \pi^7 + b_{47} \pi^6 + a_{39} \pi^5) x^7 + a_{22} \pi^3 x^6 + (b_{53} \pi^7 + b_{45} \pi^6) x^5 + (b_{28} \pi^4 + b_{20} \pi^3) x^4 + (b_{51} \pi^7 + b_{43} \pi^6) x^3 + b_{26} \pi^4 x^2 + (b_{49} \pi^7 + b_{41} \pi^6) x + c_{56} \pi^8 + \pi$ $2$ $0$ $2048$
2.1.4.8b1.3-1.8.46e $2$ $8$ $1$ $8$ $46$ 2.1.4.8b1.3 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}, 7]$ $\langle\frac{11}{6}, \frac{11}{4}, \frac{39}{8}\rangle$ $(\frac{11}{3}, \frac{11}{3}, 17)$ $x^8 + (b_{55} \pi^7 + b_{47} \pi^6 + a_{39} \pi^5) x^7 + a_{22} \pi^3 x^6 + (b_{53} \pi^7 + b_{45} \pi^6) x^5 + (b_{28} \pi^4 + b_{20} \pi^3) x^4 + (b_{51} \pi^7 + b_{43} \pi^6) x^3 + b_{26} \pi^4 x^2 + (b_{49} \pi^7 + b_{41} \pi^6) x + c_{56} \pi^8 + \pi$ $2$ $0$ $2048$
2.1.4.8b1.4-1.8.46e $2$ $8$ $1$ $8$ $46$ 2.1.4.8b1.4 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}, 7]$ $\langle\frac{11}{6}, \frac{11}{4}, \frac{39}{8}\rangle$ $(\frac{11}{3}, \frac{11}{3}, 17)$ $x^8 + (b_{55} \pi^7 + b_{47} \pi^6 + a_{39} \pi^5) x^7 + a_{22} \pi^3 x^6 + (b_{53} \pi^7 + b_{45} \pi^6) x^5 + (b_{28} \pi^4 + b_{20} \pi^3) x^4 + (b_{51} \pi^7 + b_{43} \pi^6) x^3 + b_{26} \pi^4 x^2 + (b_{49} \pi^7 + b_{41} \pi^6) x + c_{56} \pi^8 + \pi$ $2$ $0$ $2048$
2.1.4.8b1.5-1.8.46e $2$ $8$ $1$ $8$ $46$ 2.1.4.8b1.5 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}, 7]$ $\langle\frac{11}{6}, \frac{11}{4}, \frac{39}{8}\rangle$ $(\frac{11}{3}, \frac{11}{3}, 17)$ $x^8 + (b_{55} \pi^7 + b_{47} \pi^6 + a_{39} \pi^5) x^7 + a_{22} \pi^3 x^6 + (b_{53} \pi^7 + b_{45} \pi^6) x^5 + (b_{28} \pi^4 + b_{20} \pi^3) x^4 + (b_{51} \pi^7 + b_{43} \pi^6) x^3 + b_{26} \pi^4 x^2 + (b_{49} \pi^7 + b_{41} \pi^6) x + c_{56} \pi^8 + \pi$ $2$ $0$ $2048$
2.1.4.8b1.6-1.8.46e $2$ $8$ $1$ $8$ $46$ 2.1.4.8b1.6 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}, 7]$ $\langle\frac{11}{6}, \frac{11}{4}, \frac{39}{8}\rangle$ $(\frac{11}{3}, \frac{11}{3}, 17)$ $x^8 + (b_{55} \pi^7 + b_{47} \pi^6 + a_{39} \pi^5) x^7 + a_{22} \pi^3 x^6 + (b_{53} \pi^7 + b_{45} \pi^6) x^5 + (b_{28} \pi^4 + b_{20} \pi^3) x^4 + (b_{51} \pi^7 + b_{43} \pi^6) x^3 + b_{26} \pi^4 x^2 + (b_{49} \pi^7 + b_{41} \pi^6) x + c_{56} \pi^8 + \pi$ $2$ $0$ $2048$
2.1.4.11a1.1-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.1 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.2-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.2 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.3-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.3 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.4-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.4 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.5-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.5 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.6-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.6 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.7-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.7 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.8-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.8 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.9-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.9 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.10-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.10 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.11-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.11 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.12-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.12 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.13-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.13 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.14-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.14 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.15-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.15 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.16-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.16 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.17-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.17 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.18-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.18 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.19-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.19 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.4.11a1.20-1.8.22e $2$ $8$ $1$ $8$ $22$ 2.1.4.11a1.20 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, \frac{7}{3}, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}, \frac{15}{8}\rangle$ $(1, \frac{11}{3}, \frac{11}{3})$ $x^8 + a_{15} \pi^2 x^7 + b_{14} \pi^2 x^6 + a_{4} \pi x^4 + b_{18} \pi^3 x^2 + b_{17} \pi^3 x + c_{8} \pi^2 + \pi$ $2$ $0$ $8$
2.1.8.22c1.1-1.4.22b $2$ $4$ $1$ $4$ $22$ 2.1.8.22c1.1 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, 9]$ $\langle\frac{1}{2}, \frac{19}{4}\rangle$ $(1, 17)$ $x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + a_{2} \pi x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6) x + c_{36} \pi^{10} + c_{4} \pi^2 + \pi$ $4$ $0$ $256$
2.1.8.22c1.2-1.4.22b $2$ $4$ $1$ $4$ $22$ 2.1.8.22c1.2 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, 9]$ $\langle\frac{1}{2}, \frac{19}{4}\rangle$ $(1, 17)$ $x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + a_{2} \pi x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6) x + c_{36} \pi^{10} + c_{4} \pi^2 + \pi$ $4$ $0$ $256$
2.1.8.22c1.3-1.4.22b $2$ $4$ $1$ $4$ $22$ 2.1.8.22c1.3 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, 9]$ $\langle\frac{1}{2}, \frac{19}{4}\rangle$ $(1, 17)$ $x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + a_{2} \pi x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6) x + c_{36} \pi^{10} + c_{4} \pi^2 + \pi$ $4$ $0$ $256$
2.1.8.22c1.4-1.4.22b $2$ $4$ $1$ $4$ $22$ 2.1.8.22c1.4 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, 9]$ $\langle\frac{1}{2}, \frac{19}{4}\rangle$ $(1, 17)$ $x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + a_{2} \pi x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6) x + c_{36} \pi^{10} + c_{4} \pi^2 + \pi$ $4$ $0$ $256$
2.1.8.22c1.5-1.4.22b $2$ $4$ $1$ $4$ $22$ 2.1.8.22c1.5 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, 9]$ $\langle\frac{1}{2}, \frac{19}{4}\rangle$ $(1, 17)$ $x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + a_{2} \pi x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6) x + c_{36} \pi^{10} + c_{4} \pi^2 + \pi$ $4$ $0$ $256$
2.1.8.22c1.6-1.4.22b $2$ $4$ $1$ $4$ $22$ 2.1.8.22c1.6 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, 9]$ $\langle\frac{1}{2}, \frac{19}{4}\rangle$ $(1, 17)$ $x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + a_{2} \pi x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6) x + c_{36} \pi^{10} + c_{4} \pi^2 + \pi$ $4$ $0$ $256$
2.1.8.22c1.7-1.4.22b $2$ $4$ $1$ $4$ $22$ 2.1.8.22c1.7 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, 9]$ $\langle\frac{1}{2}, \frac{19}{4}\rangle$ $(1, 17)$ $x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + a_{2} \pi x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6) x + c_{36} \pi^{10} + c_{4} \pi^2 + \pi$ $4$ $0$ $256$
2.1.8.22c1.8-1.4.22b $2$ $4$ $1$ $4$ $22$ 2.1.8.22c1.8 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[1, 9]$ $\langle\frac{1}{2}, \frac{19}{4}\rangle$ $(1, 17)$ $x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + a_{2} \pi x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6) x + c_{36} \pi^{10} + c_{4} \pi^2 + \pi$ $4$ $0$ $256$
2.1.8.24c1.1-1.4.14a $2$ $4$ $1$ $4$ $14$ 2.1.8.24c1.1 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}]$ $\langle\frac{11}{6}, \frac{11}{4}\rangle$ $(\frac{11}{3}, \frac{11}{3})$ $x^4 + a_{11} \pi^3 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{13} \pi^4 x + \pi$ $1$ $0$ $8$
2.1.8.24c1.2-1.4.14a $2$ $4$ $1$ $4$ $14$ 2.1.8.24c1.2 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}]$ $\langle\frac{11}{6}, \frac{11}{4}\rangle$ $(\frac{11}{3}, \frac{11}{3})$ $x^4 + a_{11} \pi^3 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{13} \pi^4 x + \pi$ $1$ $0$ $8$
2.1.8.24c1.3-1.4.14a $2$ $4$ $1$ $4$ $14$ 2.1.8.24c1.3 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}]$ $\langle\frac{11}{6}, \frac{11}{4}\rangle$ $(\frac{11}{3}, \frac{11}{3})$ $x^4 + a_{11} \pi^3 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{13} \pi^4 x + \pi$ $1$ $0$ $8$
2.1.8.24c1.4-1.4.14a $2$ $4$ $1$ $4$ $14$ 2.1.8.24c1.4 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}]$ $\langle\frac{11}{6}, \frac{11}{4}\rangle$ $(\frac{11}{3}, \frac{11}{3})$ $x^4 + a_{11} \pi^3 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{13} \pi^4 x + \pi$ $1$ $0$ $8$
2.1.8.24c1.5-1.4.14a $2$ $4$ $1$ $4$ $14$ 2.1.8.24c1.5 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}]$ $\langle\frac{11}{6}, \frac{11}{4}\rangle$ $(\frac{11}{3}, \frac{11}{3})$ $x^4 + a_{11} \pi^3 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{13} \pi^4 x + \pi$ $1$ $0$ $8$
2.1.8.24c1.6-1.4.14a $2$ $4$ $1$ $4$ $14$ 2.1.8.24c1.6 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}]$ $\langle\frac{11}{6}, \frac{11}{4}\rangle$ $(\frac{11}{3}, \frac{11}{3})$ $x^4 + a_{11} \pi^3 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{13} \pi^4 x + \pi$ $1$ $0$ $8$
2.1.8.24c1.7-1.4.14a $2$ $4$ $1$ $4$ $14$ 2.1.8.24c1.7 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}]$ $\langle\frac{11}{6}, \frac{11}{4}\rangle$ $(\frac{11}{3}, \frac{11}{3})$ $x^4 + a_{11} \pi^3 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{13} \pi^4 x + \pi$ $1$ $0$ $8$
2.1.8.24c1.8-1.4.14a $2$ $4$ $1$ $4$ $14$ 2.1.8.24c1.8 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}]$ $\langle\frac{11}{6}, \frac{11}{4}\rangle$ $(\frac{11}{3}, \frac{11}{3})$ $x^4 + a_{11} \pi^3 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{13} \pi^4 x + \pi$ $1$ $0$ $8$
2.1.8.24c1.9-1.4.14a $2$ $4$ $1$ $4$ $14$ 2.1.8.24c1.9 $[2, 3, \frac{19}{6}, \frac{19}{6}, 4]$ $[\frac{11}{3}, \frac{11}{3}]$ $\langle\frac{11}{6}, \frac{11}{4}\rangle$ $(\frac{11}{3}, \frac{11}{3})$ $x^4 + a_{11} \pi^3 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{13} \pi^4 x + \pi$ $1$ $0$ $8$
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