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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
2.1.32.120bz $2$ $32$ $1$ $32$ $120$ $\Q_{2}$ $[2, 3, 4, 4, 4]$ $[1, 2, 3, 3, 3]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}, \frac{41}{16}, \frac{89}{32}\rangle$ $(1, 3, 7, 7, 7)$ $x^{32} + 8 b_{95} x^{31} + 8 b_{94} x^{30} + 8 b_{93} x^{29} + 8 b_{92} x^{28} + 8 b_{91} x^{27} + 8 b_{90} x^{26} + 8 a_{89} x^{25} + 4 b_{56} x^{24} + 8 b_{86} x^{22} + 8 b_{84} x^{20} + 8 b_{82} x^{18} + 2 a_{16} x^{16} + 8 b_{76} x^{12} + 4 a_{40} x^8 + 8 b_{68} x^4 + 4 c_{32} + 8 c_{64} + 16 c_{96} + 2$ $8$ $0$ $4096$
2.1.2.2a1.1-1.16.88h $2$ $16$ $1$ $16$ $88$ $\Q_{2}(\sqrt{-1})$ $[2, 3, 4, 4, 4]$ $[3, 5, 5, 5]$ $\langle\frac{3}{2}, \frac{13}{4}, \frac{33}{8}, \frac{73}{16}\rangle$ $(3, 7, 7, 7)$ $x^{16} + b_{79} \pi^5 x^{15} + b_{78} \pi^5 x^{14} + b_{77} \pi^5 x^{13} + (b_{76} \pi^5 + b_{60} \pi^4) x^{12} + b_{75} \pi^5 x^{11} + b_{74} \pi^5 x^{10} + a_{73} \pi^5 x^9 + (b_{40} \pi^3 + a_{24} \pi^2) x^8 + b_{70} \pi^5 x^6 + (b_{68} \pi^5 + b_{52} \pi^4) x^4 + b_{66} \pi^5 x^2 + c_{80} \pi^6 + c_{48} \pi^4 + \pi$ $4$ $0$ $4096$
2.1.2.2a1.2-1.16.88h $2$ $16$ $1$ $16$ $88$ $\Q_{2}(\sqrt{-5})$ $[2, 3, 4, 4, 4]$ $[3, 5, 5, 5]$ $\langle\frac{3}{2}, \frac{13}{4}, \frac{33}{8}, \frac{73}{16}\rangle$ $(3, 7, 7, 7)$ $x^{16} + b_{79} \pi^5 x^{15} + b_{78} \pi^5 x^{14} + b_{77} \pi^5 x^{13} + (b_{76} \pi^5 + b_{60} \pi^4) x^{12} + b_{75} \pi^5 x^{11} + b_{74} \pi^5 x^{10} + a_{73} \pi^5 x^9 + (b_{40} \pi^3 + a_{24} \pi^2) x^8 + b_{70} \pi^5 x^6 + (b_{68} \pi^5 + b_{52} \pi^4) x^4 + b_{66} \pi^5 x^2 + c_{80} \pi^6 + c_{48} \pi^4 + \pi$ $4$ $0$ $4096$
2.1.2.3a1.1-1.16.72n $2$ $16$ $1$ $16$ $72$ $\Q_{2}(\sqrt{-2})$ $[2, 3, 4, 4, 4]$ $[1, 4, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}, \frac{57}{16}\rangle$ $(1, 7, 7, 7)$ $x^{16} + b_{63} \pi^4 x^{15} + b_{62} \pi^4 x^{14} + b_{61} \pi^4 x^{13} + (b_{60} \pi^4 + b_{44} \pi^3) x^{12} + b_{59} \pi^4 x^{11} + b_{58} \pi^4 x^{10} + a_{57} \pi^4 x^9 + a_{8} \pi x^8 + b_{54} \pi^4 x^6 + (b_{52} \pi^4 + b_{36} \pi^3) x^4 + b_{50} \pi^4 x^2 + c_{64} \pi^5 + c_{16} \pi^2 + \pi$ $4$ $0$ $2048$
2.1.2.3a1.2-1.16.72n $2$ $16$ $1$ $16$ $72$ $\Q_{2}(\sqrt{-2\cdot 5})$ $[2, 3, 4, 4, 4]$ $[1, 4, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}, \frac{57}{16}\rangle$ $(1, 7, 7, 7)$ $x^{16} + b_{63} \pi^4 x^{15} + b_{62} \pi^4 x^{14} + b_{61} \pi^4 x^{13} + (b_{60} \pi^4 + b_{44} \pi^3) x^{12} + b_{59} \pi^4 x^{11} + b_{58} \pi^4 x^{10} + a_{57} \pi^4 x^9 + a_{8} \pi x^8 + b_{54} \pi^4 x^6 + (b_{52} \pi^4 + b_{36} \pi^3) x^4 + b_{50} \pi^4 x^2 + c_{64} \pi^5 + c_{16} \pi^2 + \pi$ $4$ $0$ $2048$
2.1.2.3a1.3-1.16.72n $2$ $16$ $1$ $16$ $72$ $\Q_{2}(\sqrt{2})$ $[2, 3, 4, 4, 4]$ $[1, 4, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}, \frac{57}{16}\rangle$ $(1, 7, 7, 7)$ $x^{16} + b_{63} \pi^4 x^{15} + b_{62} \pi^4 x^{14} + b_{61} \pi^4 x^{13} + (b_{60} \pi^4 + b_{44} \pi^3) x^{12} + b_{59} \pi^4 x^{11} + b_{58} \pi^4 x^{10} + a_{57} \pi^4 x^9 + a_{8} \pi x^8 + b_{54} \pi^4 x^6 + (b_{52} \pi^4 + b_{36} \pi^3) x^4 + b_{50} \pi^4 x^2 + c_{64} \pi^5 + c_{16} \pi^2 + \pi$ $4$ $0$ $2048$
2.1.2.3a1.4-1.16.72n $2$ $16$ $1$ $16$ $72$ $\Q_{2}(\sqrt{2\cdot 5})$ $[2, 3, 4, 4, 4]$ $[1, 4, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}, \frac{57}{16}\rangle$ $(1, 7, 7, 7)$ $x^{16} + b_{63} \pi^4 x^{15} + b_{62} \pi^4 x^{14} + b_{61} \pi^4 x^{13} + (b_{60} \pi^4 + b_{44} \pi^3) x^{12} + b_{59} \pi^4 x^{11} + b_{58} \pi^4 x^{10} + a_{57} \pi^4 x^9 + a_{8} \pi x^8 + b_{54} \pi^4 x^6 + (b_{52} \pi^4 + b_{36} \pi^3) x^4 + b_{50} \pi^4 x^2 + c_{64} \pi^5 + c_{16} \pi^2 + \pi$ $4$ $0$ $2048$
2.1.4.8b1.1-1.8.56a $2$ $8$ $1$ $8$ $56$ 2.1.4.8b1.1 $[2, 3, 4, 4, 4]$ $[7, 7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}, \frac{49}{8}\rangle$ $(7, 7, 7)$ $x^8 + b_{55} \pi^7 x^7 + (b_{54} \pi^7 + b_{46} \pi^6) x^6 + b_{53} \pi^7 x^5 + (b_{52} \pi^7 + b_{44} \pi^6 + b_{36} \pi^5 + b_{28} \pi^4) x^4 + b_{51} \pi^7 x^3 + (b_{50} \pi^7 + b_{42} \pi^6) x^2 + a_{49} \pi^7 x + c_{56} \pi^8 + \pi$ $2$ $0$ $2048$
2.1.4.8b1.2-1.8.56a $2$ $8$ $1$ $8$ $56$ 2.1.4.8b1.2 $[2, 3, 4, 4, 4]$ $[7, 7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}, \frac{49}{8}\rangle$ $(7, 7, 7)$ $x^8 + b_{55} \pi^7 x^7 + (b_{54} \pi^7 + b_{46} \pi^6) x^6 + b_{53} \pi^7 x^5 + (b_{52} \pi^7 + b_{44} \pi^6 + b_{36} \pi^5 + b_{28} \pi^4) x^4 + b_{51} \pi^7 x^3 + (b_{50} \pi^7 + b_{42} \pi^6) x^2 + a_{49} \pi^7 x + c_{56} \pi^8 + \pi$ $2$ $0$ $2048$
2.1.4.8b1.3-1.8.56a $2$ $8$ $1$ $8$ $56$ 2.1.4.8b1.3 $[2, 3, 4, 4, 4]$ $[7, 7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}, \frac{49}{8}\rangle$ $(7, 7, 7)$ $x^8 + b_{55} \pi^7 x^7 + (b_{54} \pi^7 + b_{46} \pi^6) x^6 + b_{53} \pi^7 x^5 + (b_{52} \pi^7 + b_{44} \pi^6 + b_{36} \pi^5 + b_{28} \pi^4) x^4 + b_{51} \pi^7 x^3 + (b_{50} \pi^7 + b_{42} \pi^6) x^2 + a_{49} \pi^7 x + c_{56} \pi^8 + \pi$ $2$ $0$ $2048$
2.1.4.8b1.4-1.8.56a $2$ $8$ $1$ $8$ $56$ 2.1.4.8b1.4 $[2, 3, 4, 4, 4]$ $[7, 7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}, \frac{49}{8}\rangle$ $(7, 7, 7)$ $x^8 + b_{55} \pi^7 x^7 + (b_{54} \pi^7 + b_{46} \pi^6) x^6 + b_{53} \pi^7 x^5 + (b_{52} \pi^7 + b_{44} \pi^6 + b_{36} \pi^5 + b_{28} \pi^4) x^4 + b_{51} \pi^7 x^3 + (b_{50} \pi^7 + b_{42} \pi^6) x^2 + a_{49} \pi^7 x + c_{56} \pi^8 + \pi$ $2$ $0$ $2048$
2.1.4.8b1.5-1.8.56a $2$ $8$ $1$ $8$ $56$ 2.1.4.8b1.5 $[2, 3, 4, 4, 4]$ $[7, 7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}, \frac{49}{8}\rangle$ $(7, 7, 7)$ $x^8 + b_{55} \pi^7 x^7 + (b_{54} \pi^7 + b_{46} \pi^6) x^6 + b_{53} \pi^7 x^5 + (b_{52} \pi^7 + b_{44} \pi^6 + b_{36} \pi^5 + b_{28} \pi^4) x^4 + b_{51} \pi^7 x^3 + (b_{50} \pi^7 + b_{42} \pi^6) x^2 + a_{49} \pi^7 x + c_{56} \pi^8 + \pi$ $2$ $0$ $2048$
2.1.4.8b1.6-1.8.56a $2$ $8$ $1$ $8$ $56$ 2.1.4.8b1.6 $[2, 3, 4, 4, 4]$ $[7, 7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}, \frac{49}{8}\rangle$ $(7, 7, 7)$ $x^8 + b_{55} \pi^7 x^7 + (b_{54} \pi^7 + b_{46} \pi^6) x^6 + b_{53} \pi^7 x^5 + (b_{52} \pi^7 + b_{44} \pi^6 + b_{36} \pi^5 + b_{28} \pi^4) x^4 + b_{51} \pi^7 x^3 + (b_{50} \pi^7 + b_{42} \pi^6) x^2 + a_{49} \pi^7 x + c_{56} \pi^8 + \pi$ $2$ $0$ $2048$
2.1.4.11a1.1-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.1 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.2-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.2 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.3-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.3 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.4-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.4 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.5-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.5 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.6-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.6 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.7-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.7 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.8-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.8 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.9-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.9 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.10-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.10 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.11-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.11 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.12-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.12 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.13-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.13 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.14-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.14 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.15-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.15 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.16-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.16 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.17-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.17 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.18-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.18 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.19-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.19 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.4.11a1.20-1.8.32g $2$ $8$ $1$ $8$ $32$ 2.1.4.11a1.20 $[2, 3, 4, 4, 4]$ $[1, 4, 4]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{25}{8}\rangle$ $(1, 7, 7)$ $x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + (b_{26} \pi^4 + b_{18} \pi^3) x^2 + a_{25} \pi^4 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $4$ $0$ $128$
2.1.8.24c1.1-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.1 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.2-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.2 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.3-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.3 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.4-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.4 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.5-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.5 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.6-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.6 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.7-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.7 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.8-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.8 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.9-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.9 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.10-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.10 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.11-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.11 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.12-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.12 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.13-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.13 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.14-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.14 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.15-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.15 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.16-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.16 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.24c1.17-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.24c1.17 $[2, 3, 4, 4, 4]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
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