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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
2.1.32.112dx $2$ $32$ $1$ $32$ $112$ $\Q_{2}$ $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 2, \frac{5}{2}, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{13}{8}, \frac{33}{16}, \frac{81}{32}\rangle$ $(1, 3, 3, 7, 15)$ $x^{32} + 8 b_{95} x^{31} + 8 b_{93} x^{29} + 4 b_{60} x^{28} + 8 b_{91} x^{27} + 8 b_{89} x^{25} + 4 b_{56} x^{24} + 8 b_{87} x^{23} + 8 b_{85} x^{21} + 4 a_{52} x^{20} + 8 b_{83} x^{19} + 8 a_{81} x^{17} + (2 a_{16} + 8 c_{80}) x^{16} + 8 b_{78} x^{14} + 8 b_{74} x^{10} + 4 b_{40} x^8 + 8 b_{70} x^6 + 8 a_{66} x^2 + 4 c_{32} + 8 c_{64} + 16 c_{96} + 2$ $16$ $0$ $8192$
2.1.2.2a1.1-1.16.80bc $2$ $16$ $1$ $16$ $80$ $\Q_{2}(\sqrt{-1})$ $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 3, 4, 5]$ $\langle\frac{3}{2}, \frac{9}{4}, \frac{25}{8}, \frac{65}{16}\rangle$ $(3, 3, 7, 15)$ $x^{16} + b_{79} \pi^5 x^{15} + b_{62} \pi^4 x^{14} + b_{77} \pi^5 x^{13} + b_{44} \pi^3 x^{12} + b_{75} \pi^5 x^{11} + b_{58} \pi^4 x^{10} + b_{73} \pi^5 x^9 + (b_{40} \pi^3 + b_{24} \pi^2) x^8 + b_{71} \pi^5 x^7 + b_{54} \pi^4 x^6 + b_{69} \pi^5 x^5 + a_{36} \pi^3 x^4 + b_{67} \pi^5 x^3 + a_{50} \pi^4 x^2 + a_{65} \pi^5 x + c_{80} \pi^6 + c_{64} \pi^5 + c_{48} \pi^4 + \pi$ $8$ $0$ $8192$
2.1.2.2a1.2-1.16.80bc $2$ $16$ $1$ $16$ $80$ $\Q_{2}(\sqrt{-5})$ $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 3, 4, 5]$ $\langle\frac{3}{2}, \frac{9}{4}, \frac{25}{8}, \frac{65}{16}\rangle$ $(3, 3, 7, 15)$ $x^{16} + b_{79} \pi^5 x^{15} + b_{62} \pi^4 x^{14} + b_{77} \pi^5 x^{13} + b_{44} \pi^3 x^{12} + b_{75} \pi^5 x^{11} + b_{58} \pi^4 x^{10} + b_{73} \pi^5 x^9 + (b_{40} \pi^3 + b_{24} \pi^2) x^8 + b_{71} \pi^5 x^7 + b_{54} \pi^4 x^6 + b_{69} \pi^5 x^5 + a_{36} \pi^3 x^4 + b_{67} \pi^5 x^3 + a_{50} \pi^4 x^2 + a_{65} \pi^5 x + c_{80} \pi^6 + c_{64} \pi^5 + c_{48} \pi^4 + \pi$ $8$ $0$ $8192$
2.1.2.3a1.1-1.16.64bo $2$ $16$ $1$ $16$ $64$ $\Q_{2}(\sqrt{-2})$ $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3, 4]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}, \frac{49}{16}\rangle$ $(1, 3, 7, 15)$ $x^{16} + b_{63} \pi^4 x^{15} + b_{46} \pi^3 x^{14} + b_{61} \pi^4 x^{13} + b_{28} \pi^2 x^{12} + b_{59} \pi^4 x^{11} + b_{42} \pi^3 x^{10} + b_{57} \pi^4 x^9 + a_{8} \pi x^8 + b_{55} \pi^4 x^7 + b_{38} \pi^3 x^6 + b_{53} \pi^4 x^5 + a_{20} \pi^2 x^4 + b_{51} \pi^4 x^3 + a_{34} \pi^3 x^2 + a_{49} \pi^4 x + c_{64} \pi^5 + c_{48} \pi^4 + c_{32} \pi^3 + c_{16} \pi^2 + \pi$ $16$ $0$ $2048$
2.1.2.3a1.2-1.16.64bo $2$ $16$ $1$ $16$ $64$ $\Q_{2}(\sqrt{-2\cdot 5})$ $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3, 4]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}, \frac{49}{16}\rangle$ $(1, 3, 7, 15)$ $x^{16} + b_{63} \pi^4 x^{15} + b_{46} \pi^3 x^{14} + b_{61} \pi^4 x^{13} + b_{28} \pi^2 x^{12} + b_{59} \pi^4 x^{11} + b_{42} \pi^3 x^{10} + b_{57} \pi^4 x^9 + a_{8} \pi x^8 + b_{55} \pi^4 x^7 + b_{38} \pi^3 x^6 + b_{53} \pi^4 x^5 + a_{20} \pi^2 x^4 + b_{51} \pi^4 x^3 + a_{34} \pi^3 x^2 + a_{49} \pi^4 x + c_{64} \pi^5 + c_{48} \pi^4 + c_{32} \pi^3 + c_{16} \pi^2 + \pi$ $16$ $0$ $2048$
2.1.2.3a1.3-1.16.64bo $2$ $16$ $1$ $16$ $64$ $\Q_{2}(\sqrt{2})$ $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3, 4]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}, \frac{49}{16}\rangle$ $(1, 3, 7, 15)$ $x^{16} + b_{63} \pi^4 x^{15} + b_{46} \pi^3 x^{14} + b_{61} \pi^4 x^{13} + b_{28} \pi^2 x^{12} + b_{59} \pi^4 x^{11} + b_{42} \pi^3 x^{10} + b_{57} \pi^4 x^9 + a_{8} \pi x^8 + b_{55} \pi^4 x^7 + b_{38} \pi^3 x^6 + b_{53} \pi^4 x^5 + a_{20} \pi^2 x^4 + b_{51} \pi^4 x^3 + a_{34} \pi^3 x^2 + a_{49} \pi^4 x + c_{64} \pi^5 + c_{48} \pi^4 + c_{32} \pi^3 + c_{16} \pi^2 + \pi$ $16$ $0$ $2048$
2.1.2.3a1.4-1.16.64bo $2$ $16$ $1$ $16$ $64$ $\Q_{2}(\sqrt{2\cdot 5})$ $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3, 4]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}, \frac{49}{16}\rangle$ $(1, 3, 7, 15)$ $x^{16} + b_{63} \pi^4 x^{15} + b_{46} \pi^3 x^{14} + b_{61} \pi^4 x^{13} + b_{28} \pi^2 x^{12} + b_{59} \pi^4 x^{11} + b_{42} \pi^3 x^{10} + b_{57} \pi^4 x^9 + a_{8} \pi x^8 + b_{55} \pi^4 x^7 + b_{38} \pi^3 x^6 + b_{53} \pi^4 x^5 + a_{20} \pi^2 x^4 + b_{51} \pi^4 x^3 + a_{34} \pi^3 x^2 + a_{49} \pi^4 x + c_{64} \pi^5 + c_{48} \pi^4 + c_{32} \pi^3 + c_{16} \pi^2 + \pi$ $16$ $0$ $2048$
2.1.4.8b1.1-1.8.48r $2$ $8$ $1$ $8$ $48$ 2.1.4.8b1.1 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 5, 7]$ $\langle\frac{3}{2}, \frac{13}{4}, \frac{41}{8}\rangle$ $(3, 7, 15)$ $x^8 + (b_{55} \pi^7 + b_{47} \pi^6) x^7 + (b_{38} \pi^5 + b_{30} \pi^4) x^6 + (b_{53} \pi^7 + b_{45} \pi^6) x^5 + (b_{20} \pi^3 + a_{12} \pi^2) x^4 + (b_{51} \pi^7 + b_{43} \pi^6) x^3 + (b_{34} \pi^5 + a_{26} \pi^4) x^2 + (b_{49} \pi^7 + a_{41} \pi^6) x + c_{56} \pi^8 + c_{40} \pi^6 + c_{24} \pi^4 + \pi$ $8$ $0$ $2048$
2.1.4.8b1.2-1.8.48r $2$ $8$ $1$ $8$ $48$ 2.1.4.8b1.2 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 5, 7]$ $\langle\frac{3}{2}, \frac{13}{4}, \frac{41}{8}\rangle$ $(3, 7, 15)$ $x^8 + (b_{55} \pi^7 + b_{47} \pi^6) x^7 + (b_{38} \pi^5 + b_{30} \pi^4) x^6 + (b_{53} \pi^7 + b_{45} \pi^6) x^5 + (b_{20} \pi^3 + a_{12} \pi^2) x^4 + (b_{51} \pi^7 + b_{43} \pi^6) x^3 + (b_{34} \pi^5 + a_{26} \pi^4) x^2 + (b_{49} \pi^7 + a_{41} \pi^6) x + c_{56} \pi^8 + c_{40} \pi^6 + c_{24} \pi^4 + \pi$ $8$ $0$ $2048$
2.1.4.8b1.3-1.8.48r $2$ $8$ $1$ $8$ $48$ 2.1.4.8b1.3 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 5, 7]$ $\langle\frac{3}{2}, \frac{13}{4}, \frac{41}{8}\rangle$ $(3, 7, 15)$ $x^8 + (b_{55} \pi^7 + b_{47} \pi^6) x^7 + (b_{38} \pi^5 + b_{30} \pi^4) x^6 + (b_{53} \pi^7 + b_{45} \pi^6) x^5 + (b_{20} \pi^3 + a_{12} \pi^2) x^4 + (b_{51} \pi^7 + b_{43} \pi^6) x^3 + (b_{34} \pi^5 + a_{26} \pi^4) x^2 + (b_{49} \pi^7 + a_{41} \pi^6) x + c_{56} \pi^8 + c_{40} \pi^6 + c_{24} \pi^4 + \pi$ $8$ $0$ $2048$
2.1.4.8b1.4-1.8.48r $2$ $8$ $1$ $8$ $48$ 2.1.4.8b1.4 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 5, 7]$ $\langle\frac{3}{2}, \frac{13}{4}, \frac{41}{8}\rangle$ $(3, 7, 15)$ $x^8 + (b_{55} \pi^7 + b_{47} \pi^6) x^7 + (b_{38} \pi^5 + b_{30} \pi^4) x^6 + (b_{53} \pi^7 + b_{45} \pi^6) x^5 + (b_{20} \pi^3 + a_{12} \pi^2) x^4 + (b_{51} \pi^7 + b_{43} \pi^6) x^3 + (b_{34} \pi^5 + a_{26} \pi^4) x^2 + (b_{49} \pi^7 + a_{41} \pi^6) x + c_{56} \pi^8 + c_{40} \pi^6 + c_{24} \pi^4 + \pi$ $8$ $0$ $2048$
2.1.4.8b1.5-1.8.48r $2$ $8$ $1$ $8$ $48$ 2.1.4.8b1.5 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 5, 7]$ $\langle\frac{3}{2}, \frac{13}{4}, \frac{41}{8}\rangle$ $(3, 7, 15)$ $x^8 + (b_{55} \pi^7 + b_{47} \pi^6) x^7 + (b_{38} \pi^5 + b_{30} \pi^4) x^6 + (b_{53} \pi^7 + b_{45} \pi^6) x^5 + (b_{20} \pi^3 + a_{12} \pi^2) x^4 + (b_{51} \pi^7 + b_{43} \pi^6) x^3 + (b_{34} \pi^5 + a_{26} \pi^4) x^2 + (b_{49} \pi^7 + a_{41} \pi^6) x + c_{56} \pi^8 + c_{40} \pi^6 + c_{24} \pi^4 + \pi$ $8$ $0$ $2048$
2.1.4.8b1.6-1.8.48r $2$ $8$ $1$ $8$ $48$ 2.1.4.8b1.6 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 5, 7]$ $\langle\frac{3}{2}, \frac{13}{4}, \frac{41}{8}\rangle$ $(3, 7, 15)$ $x^8 + (b_{55} \pi^7 + b_{47} \pi^6) x^7 + (b_{38} \pi^5 + b_{30} \pi^4) x^6 + (b_{53} \pi^7 + b_{45} \pi^6) x^5 + (b_{20} \pi^3 + a_{12} \pi^2) x^4 + (b_{51} \pi^7 + b_{43} \pi^6) x^3 + (b_{34} \pi^5 + a_{26} \pi^4) x^2 + (b_{49} \pi^7 + a_{41} \pi^6) x + c_{56} \pi^8 + c_{40} \pi^6 + c_{24} \pi^4 + \pi$ $8$ $0$ $2048$
2.1.4.9a1.1-1.8.40f $2$ $8$ $1$ $8$ $40$ 2.1.4.9a1.1 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 3, 6]$ $\langle\frac{3}{2}, \frac{9}{4}, \frac{33}{8}\rangle$ $(3, 3, 15)$ $x^8 + (b_{47} \pi^6 + b_{39} \pi^5) x^7 + b_{22} \pi^3 x^6 + (b_{45} \pi^6 + b_{37} \pi^5) x^5 + (b_{20} \pi^3 + b_{12} \pi^2) x^4 + (b_{43} \pi^6 + b_{35} \pi^5) x^3 + a_{18} \pi^3 x^2 + (b_{41} \pi^6 + a_{33} \pi^5) x + c_{48} \pi^7 + c_{24} \pi^4 + \pi$ $4$ $0$ $1024$
2.1.4.9a1.2-1.8.40f $2$ $8$ $1$ $8$ $40$ 2.1.4.9a1.2 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 3, 6]$ $\langle\frac{3}{2}, \frac{9}{4}, \frac{33}{8}\rangle$ $(3, 3, 15)$ $x^8 + (b_{47} \pi^6 + b_{39} \pi^5) x^7 + b_{22} \pi^3 x^6 + (b_{45} \pi^6 + b_{37} \pi^5) x^5 + (b_{20} \pi^3 + b_{12} \pi^2) x^4 + (b_{43} \pi^6 + b_{35} \pi^5) x^3 + a_{18} \pi^3 x^2 + (b_{41} \pi^6 + a_{33} \pi^5) x + c_{48} \pi^7 + c_{24} \pi^4 + \pi$ $4$ $0$ $1024$
2.1.4.9a1.3-1.8.40f $2$ $8$ $1$ $8$ $40$ 2.1.4.9a1.3 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 3, 6]$ $\langle\frac{3}{2}, \frac{9}{4}, \frac{33}{8}\rangle$ $(3, 3, 15)$ $x^8 + (b_{47} \pi^6 + b_{39} \pi^5) x^7 + b_{22} \pi^3 x^6 + (b_{45} \pi^6 + b_{37} \pi^5) x^5 + (b_{20} \pi^3 + b_{12} \pi^2) x^4 + (b_{43} \pi^6 + b_{35} \pi^5) x^3 + a_{18} \pi^3 x^2 + (b_{41} \pi^6 + a_{33} \pi^5) x + c_{48} \pi^7 + c_{24} \pi^4 + \pi$ $4$ $0$ $1024$
2.1.4.9a1.4-1.8.40f $2$ $8$ $1$ $8$ $40$ 2.1.4.9a1.4 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 3, 6]$ $\langle\frac{3}{2}, \frac{9}{4}, \frac{33}{8}\rangle$ $(3, 3, 15)$ $x^8 + (b_{47} \pi^6 + b_{39} \pi^5) x^7 + b_{22} \pi^3 x^6 + (b_{45} \pi^6 + b_{37} \pi^5) x^5 + (b_{20} \pi^3 + b_{12} \pi^2) x^4 + (b_{43} \pi^6 + b_{35} \pi^5) x^3 + a_{18} \pi^3 x^2 + (b_{41} \pi^6 + a_{33} \pi^5) x + c_{48} \pi^7 + c_{24} \pi^4 + \pi$ $4$ $0$ $1024$
2.1.4.9a1.5-1.8.40f $2$ $8$ $1$ $8$ $40$ 2.1.4.9a1.5 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 3, 6]$ $\langle\frac{3}{2}, \frac{9}{4}, \frac{33}{8}\rangle$ $(3, 3, 15)$ $x^8 + (b_{47} \pi^6 + b_{39} \pi^5) x^7 + b_{22} \pi^3 x^6 + (b_{45} \pi^6 + b_{37} \pi^5) x^5 + (b_{20} \pi^3 + b_{12} \pi^2) x^4 + (b_{43} \pi^6 + b_{35} \pi^5) x^3 + a_{18} \pi^3 x^2 + (b_{41} \pi^6 + a_{33} \pi^5) x + c_{48} \pi^7 + c_{24} \pi^4 + \pi$ $4$ $0$ $1024$
2.1.4.9a1.6-1.8.40f $2$ $8$ $1$ $8$ $40$ 2.1.4.9a1.6 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 3, 6]$ $\langle\frac{3}{2}, \frac{9}{4}, \frac{33}{8}\rangle$ $(3, 3, 15)$ $x^8 + (b_{47} \pi^6 + b_{39} \pi^5) x^7 + b_{22} \pi^3 x^6 + (b_{45} \pi^6 + b_{37} \pi^5) x^5 + (b_{20} \pi^3 + b_{12} \pi^2) x^4 + (b_{43} \pi^6 + b_{35} \pi^5) x^3 + a_{18} \pi^3 x^2 + (b_{41} \pi^6 + a_{33} \pi^5) x + c_{48} \pi^7 + c_{24} \pi^4 + \pi$ $4$ $0$ $1024$
2.1.4.9a1.7-1.8.40f $2$ $8$ $1$ $8$ $40$ 2.1.4.9a1.7 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 3, 6]$ $\langle\frac{3}{2}, \frac{9}{4}, \frac{33}{8}\rangle$ $(3, 3, 15)$ $x^8 + (b_{47} \pi^6 + b_{39} \pi^5) x^7 + b_{22} \pi^3 x^6 + (b_{45} \pi^6 + b_{37} \pi^5) x^5 + (b_{20} \pi^3 + b_{12} \pi^2) x^4 + (b_{43} \pi^6 + b_{35} \pi^5) x^3 + a_{18} \pi^3 x^2 + (b_{41} \pi^6 + a_{33} \pi^5) x + c_{48} \pi^7 + c_{24} \pi^4 + \pi$ $4$ $0$ $1024$
2.1.4.9a1.8-1.8.40f $2$ $8$ $1$ $8$ $40$ 2.1.4.9a1.8 $[2, 3, 3, \frac{7}{2}, 4]$ $[3, 3, 6]$ $\langle\frac{3}{2}, \frac{9}{4}, \frac{33}{8}\rangle$ $(3, 3, 15)$ $x^8 + (b_{47} \pi^6 + b_{39} \pi^5) x^7 + b_{22} \pi^3 x^6 + (b_{45} \pi^6 + b_{37} \pi^5) x^5 + (b_{20} \pi^3 + b_{12} \pi^2) x^4 + (b_{43} \pi^6 + b_{35} \pi^5) x^3 + a_{18} \pi^3 x^2 + (b_{41} \pi^6 + a_{33} \pi^5) x + c_{48} \pi^7 + c_{24} \pi^4 + \pi$ $4$ $0$ $1024$
2.1.4.10a1.1-1.8.32i $2$ $8$ $1$ $8$ $32$ 2.1.4.10a1.1 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 5]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{25}{8}\rangle$ $(1, 3, 15)$ $x^8 + (b_{39} \pi^5 + b_{31} \pi^4) x^7 + b_{14} \pi^2 x^6 + (b_{37} \pi^5 + b_{29} \pi^4) x^5 + a_{4} \pi x^4 + (b_{35} \pi^5 + b_{27} \pi^4) x^3 + a_{10} \pi^2 x^2 + (b_{33} \pi^5 + a_{25} \pi^4) x + c_{40} \pi^6 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $256$
2.1.4.10a1.2-1.8.32i $2$ $8$ $1$ $8$ $32$ 2.1.4.10a1.2 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 5]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{25}{8}\rangle$ $(1, 3, 15)$ $x^8 + (b_{39} \pi^5 + b_{31} \pi^4) x^7 + b_{14} \pi^2 x^6 + (b_{37} \pi^5 + b_{29} \pi^4) x^5 + a_{4} \pi x^4 + (b_{35} \pi^5 + b_{27} \pi^4) x^3 + a_{10} \pi^2 x^2 + (b_{33} \pi^5 + a_{25} \pi^4) x + c_{40} \pi^6 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $256$
2.1.4.10a1.3-1.8.32i $2$ $8$ $1$ $8$ $32$ 2.1.4.10a1.3 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 5]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{25}{8}\rangle$ $(1, 3, 15)$ $x^8 + (b_{39} \pi^5 + b_{31} \pi^4) x^7 + b_{14} \pi^2 x^6 + (b_{37} \pi^5 + b_{29} \pi^4) x^5 + a_{4} \pi x^4 + (b_{35} \pi^5 + b_{27} \pi^4) x^3 + a_{10} \pi^2 x^2 + (b_{33} \pi^5 + a_{25} \pi^4) x + c_{40} \pi^6 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $256$
2.1.4.10a1.4-1.8.32i $2$ $8$ $1$ $8$ $32$ 2.1.4.10a1.4 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 5]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{25}{8}\rangle$ $(1, 3, 15)$ $x^8 + (b_{39} \pi^5 + b_{31} \pi^4) x^7 + b_{14} \pi^2 x^6 + (b_{37} \pi^5 + b_{29} \pi^4) x^5 + a_{4} \pi x^4 + (b_{35} \pi^5 + b_{27} \pi^4) x^3 + a_{10} \pi^2 x^2 + (b_{33} \pi^5 + a_{25} \pi^4) x + c_{40} \pi^6 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $256$
2.1.4.10a1.5-1.8.32i $2$ $8$ $1$ $8$ $32$ 2.1.4.10a1.5 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 5]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{25}{8}\rangle$ $(1, 3, 15)$ $x^8 + (b_{39} \pi^5 + b_{31} \pi^4) x^7 + b_{14} \pi^2 x^6 + (b_{37} \pi^5 + b_{29} \pi^4) x^5 + a_{4} \pi x^4 + (b_{35} \pi^5 + b_{27} \pi^4) x^3 + a_{10} \pi^2 x^2 + (b_{33} \pi^5 + a_{25} \pi^4) x + c_{40} \pi^6 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $256$
2.1.4.10a1.6-1.8.32i $2$ $8$ $1$ $8$ $32$ 2.1.4.10a1.6 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 5]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{25}{8}\rangle$ $(1, 3, 15)$ $x^8 + (b_{39} \pi^5 + b_{31} \pi^4) x^7 + b_{14} \pi^2 x^6 + (b_{37} \pi^5 + b_{29} \pi^4) x^5 + a_{4} \pi x^4 + (b_{35} \pi^5 + b_{27} \pi^4) x^3 + a_{10} \pi^2 x^2 + (b_{33} \pi^5 + a_{25} \pi^4) x + c_{40} \pi^6 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $256$
2.1.4.10a1.7-1.8.32i $2$ $8$ $1$ $8$ $32$ 2.1.4.10a1.7 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 5]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{25}{8}\rangle$ $(1, 3, 15)$ $x^8 + (b_{39} \pi^5 + b_{31} \pi^4) x^7 + b_{14} \pi^2 x^6 + (b_{37} \pi^5 + b_{29} \pi^4) x^5 + a_{4} \pi x^4 + (b_{35} \pi^5 + b_{27} \pi^4) x^3 + a_{10} \pi^2 x^2 + (b_{33} \pi^5 + a_{25} \pi^4) x + c_{40} \pi^6 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $256$
2.1.4.10a1.8-1.8.32i $2$ $8$ $1$ $8$ $32$ 2.1.4.10a1.8 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 5]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{25}{8}\rangle$ $(1, 3, 15)$ $x^8 + (b_{39} \pi^5 + b_{31} \pi^4) x^7 + b_{14} \pi^2 x^6 + (b_{37} \pi^5 + b_{29} \pi^4) x^5 + a_{4} \pi x^4 + (b_{35} \pi^5 + b_{27} \pi^4) x^3 + a_{10} \pi^2 x^2 + (b_{33} \pi^5 + a_{25} \pi^4) x + c_{40} \pi^6 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $256$
2.1.4.11a1.1-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.1 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.2-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.2 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.3-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.3 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.4-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.4 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.5-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.5 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.6-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.6 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.7-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.7 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.8-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.8 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.9-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.9 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.10-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.10 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.11-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.11 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.12-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.12 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.13-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.13 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.14-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.14 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.15-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.15 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.16-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.16 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.17-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.17 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.18-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.18 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.19-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.19 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.4.11a1.20-1.8.24g $2$ $8$ $1$ $8$ $24$ 2.1.4.11a1.20 $[2, 3, 3, \frac{7}{2}, 4]$ $[1, 2, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}\rangle$ $(1, 3, 7)$ $x^8 + b_{23} \pi^3 x^7 + b_{14} \pi^2 x^6 + b_{21} \pi^3 x^5 + a_{4} \pi x^4 + b_{19} \pi^3 x^3 + a_{10} \pi^2 x^2 + a_{17} \pi^3 x + c_{24} \pi^4 + c_{16} \pi^3 + c_{8} \pi^2 + \pi$ $8$ $0$ $16$
2.1.8.20d1.1-1.4.32e $2$ $4$ $1$ $4$ $32$ 2.1.8.20d1.1 $[2, 3, 3, \frac{7}{2}, 4]$ $[7, 11]$ $\langle\frac{7}{2}, \frac{29}{4}\rangle$ $(7, 15)$ $x^4 + (b_{43} \pi^{11} + b_{39} \pi^{10} + b_{35} \pi^9 + b_{31} \pi^8) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + a_{14} \pi^4) x^2 + (b_{41} \pi^{11} + b_{37} \pi^{10} + b_{33} \pi^9 + a_{29} \pi^8) x + c_{44} \pi^{12} + c_{28} \pi^8 + \pi$ $4$ $0$ $1024$
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