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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
2.1.8.12b1.1-2.1.0a $2$ $2$ $2$ $1$ $0$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
2.1.8.12b1.1-1.2.2a $2$ $2$ $1$ $2$ $2$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, 2]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $2$ $2$ $1$
2.1.8.12b1.1-1.2.4a $2$ $2$ $1$ $2$ $4$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, 2]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $2$ $2$ $2$
2.1.8.12b1.1-1.2.6a $2$ $2$ $1$ $2$ $6$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{9}{4}]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $2$ $4$ $4$
2.1.8.12b1.1-1.2.8a $2$ $2$ $1$ $2$ $8$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{5}{2}]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $2$ $10$ $8$
2.1.8.12b1.1-1.2.10a $2$ $2$ $1$ $2$ $10$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[9]$ $\langle\frac{9}{2}\rangle$ $(9)$ $x^2 + (b_{17} \pi^9 + b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + a_{9} \pi^5) x + c_{18} \pi^{10} + \pi$ $2$ $20$ $16$
2.1.8.12b1.1-1.2.12a $2$ $2$ $1$ $2$ $12$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, 3]$ $[11]$ $\langle\frac{11}{2}\rangle$ $(11)$ $x^2 + (b_{21} \pi^{11} + b_{19} \pi^{10} + b_{17} \pi^9 + b_{15} \pi^8 + b_{13} \pi^7 + a_{11} \pi^6) x + c_{22} \pi^{12} + \pi$ $2$ $40$ $32$
2.1.8.12b1.1-1.2.14a $2$ $2$ $1$ $2$ $14$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{13}{4}]$ $[13]$ $\langle\frac{13}{2}\rangle$ $(13)$ $x^2 + (b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11} + b_{19} \pi^{10} + b_{17} \pi^9 + b_{15} \pi^8 + a_{13} \pi^7) x + c_{26} \pi^{14} + \pi$ $2$ $80$ $64$
2.1.8.12b1.1-1.2.16a $2$ $2$ $1$ $2$ $16$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{7}{2}]$ $[15]$ $\langle\frac{15}{2}\rangle$ $(15)$ $x^2 + (b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11} + b_{19} \pi^{10} + b_{17} \pi^9 + a_{15} \pi^8) x + c_{30} \pi^{16} + \pi$ $2$ $128$ $128$
2.1.8.12b1.1-1.2.17a $2$ $2$ $1$ $2$ $17$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{29}{8}]$ $[16]$ $\langle8\rangle$ $(16)$ $x^2 + (b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11} + b_{19} \pi^{10} + b_{17} \pi^9) x + c_{32} \pi^{17} + \pi$ $2$ $256$ $256$
2.1.8.12b1.1-3.1.0a $2$ $3$ $3$ $1$ $0$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $0$ $1$
2.1.8.12b1.1-1.3.2a $2$ $3$ $1$ $3$ $2$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + \pi$ $1$ $0$ $1$
2.1.8.12b1.1-4.1.0a $2$ $4$ $4$ $1$ $0$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $4$ $0$ $1$
2.1.8.12b1.1-2.2.4a $2$ $4$ $2$ $2$ $4$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, 2]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $4$ $0$ $3$
2.1.8.12b1.1-2.2.8a $2$ $4$ $2$ $2$ $8$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, 2]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $4$ $0$ $12$
2.1.8.12b1.1-2.2.12a $2$ $4$ $2$ $2$ $12$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{9}{4}]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $4$ $0$ $48$
2.1.8.12b1.1-2.2.16a $2$ $4$ $2$ $2$ $16$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{5}{2}]$ $[7]$ $\langle\frac{7}{2}\rangle$ $(7)$ $x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ $4$ $0$ $192$
2.1.8.12b1.1-2.2.20a $2$ $4$ $2$ $2$ $20$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{11}{4}]$ $[9]$ $\langle\frac{9}{2}\rangle$ $(9)$ $x^2 + (b_{17} \pi^9 + b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + a_{9} \pi^5) x + c_{18} \pi^{10} + \pi$ $4$ $0$ $768$
2.1.8.12b1.1-2.2.24a $2$ $4$ $2$ $2$ $24$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, 3]$ $[11]$ $\langle\frac{11}{2}\rangle$ $(11)$ $x^2 + (b_{21} \pi^{11} + b_{19} \pi^{10} + b_{17} \pi^9 + b_{15} \pi^8 + b_{13} \pi^7 + a_{11} \pi^6) x + c_{22} \pi^{12} + \pi$ $4$ $0$ $3072$
2.1.8.12b1.1-2.2.28a $2$ $4$ $2$ $2$ $28$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{13}{4}]$ $[13]$ $\langle\frac{13}{2}\rangle$ $(13)$ $x^2 + (b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11} + b_{19} \pi^{10} + b_{17} \pi^9 + b_{15} \pi^8 + a_{13} \pi^7) x + c_{26} \pi^{14} + \pi$ $4$ $0$ $12288$
2.1.8.12b1.1-2.2.32a $2$ $4$ $2$ $2$ $32$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{7}{2}]$ $[15]$ $\langle\frac{15}{2}\rangle$ $(15)$ $x^2 + (b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11} + b_{19} \pi^{10} + b_{17} \pi^9 + a_{15} \pi^8) x + c_{30} \pi^{16} + \pi$ $4$ $0$ $49152$
2.1.8.12b1.1-2.2.34a $2$ $4$ $2$ $2$ $34$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{29}{8}]$ $[16]$ $\langle8\rangle$ $(16)$ $x^2 + (b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11} + b_{19} \pi^{10} + b_{17} \pi^9) x + c_{32} \pi^{17} + \pi$ $4$ $0$ $65536$
2.1.8.12b1.1-1.4.4a $2$ $4$ $1$ $4$ $4$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{4}{3}, \frac{4}{3}, 2]$ $[\frac{1}{3}, \frac{1}{3}]$ $\langle\frac{1}{6}, \frac{1}{4}\rangle$ $(\frac{1}{3}, \frac{1}{3})$ $x^4 + a_{1} \pi x + \pi$ $1$ $0$ $1$
2.1.8.12b1.1-1.4.6a $2$ $4$ $1$ $4$ $6$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, \frac{3}{2}, 2]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ $2$ $0$ $2$
2.1.8.12b1.1-1.4.8a $2$ $4$ $1$ $4$ $8$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{5}{3}, \frac{5}{3}, 2]$ $[\frac{5}{3}, \frac{5}{3}]$ $\langle\frac{5}{6}, \frac{5}{4}\rangle$ $(\frac{5}{3}, \frac{5}{3})$ $x^4 + b_{6} \pi^2 x^2 + a_{5} \pi^2 x + \pi$ $1$ $0$ $2$
2.1.8.12b1.1-1.4.8b $2$ $4$ $1$ $4$ $8$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, \frac{7}{4}, 2]$ $[1, 2]$ $\langle\frac{1}{2}, \frac{5}{4}\rangle$ $(1, 3)$ $x^4 + b_{7} \pi^2 x^3 + a_{2} \pi x^2 + a_{5} \pi^2 x + c_{8} \pi^3 + c_{4} \pi^2 + \pi$ $4$ $0$ $2$
2.1.8.12b1.1-1.4.10a $2$ $4$ $1$ $4$ $10$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{11}{6}, \frac{11}{6}, 2]$ $[\frac{7}{3}, \frac{7}{3}]$ $\langle\frac{7}{6}, \frac{7}{4}\rangle$ $(\frac{7}{3}, \frac{7}{3})$ $x^4 + a_{7} \pi^2 x^3 + b_{6} \pi^2 x^2 + b_{9} \pi^3 x + \pi$ $1$ $0$ $4$
2.1.8.12b1.1-1.4.10b $2$ $4$ $1$ $4$ $10$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, 2, 2]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $4$ $0$ $4$
2.1.8.12b1.1-1.4.12a $2$ $4$ $1$ $4$ $12$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, 2, 2]$ $[3, 3]$ $\langle\frac{3}{2}, \frac{9}{4}\rangle$ $(3, 3)$ $x^4 + b_{11} \pi^3 x^3 + (b_{10} \pi^3 + b_{6} \pi^2) x^2 + a_{9} \pi^3 x + c_{12} \pi^4 + \pi$ $2$ $0$ $8$
2.1.8.12b1.1-1.4.12b $2$ $4$ $1$ $4$ $12$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, 2, \frac{17}{8}]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $4$ $0$ $8$
2.1.8.12b1.1-1.4.14a $2$ $4$ $1$ $4$ $14$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{25}{12}, \frac{25}{12}]$ $[\frac{11}{3}, \frac{11}{3}]$ $\langle\frac{11}{6}, \frac{11}{4}\rangle$ $(\frac{11}{3}, \frac{11}{3})$ $x^4 + a_{11} \pi^3 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{13} \pi^4 x + \pi$ $1$ $0$ $8$
2.1.8.12b1.1-1.4.14b $2$ $4$ $1$ $4$ $14$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, 2, \frac{9}{4}]$ $[1, 5]$ $\langle\frac{1}{2}, \frac{11}{4}\rangle$ $(1, 9)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4 + a_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{17} \pi^5 + b_{13} \pi^4) x + c_{20} \pi^6 + c_{4} \pi^2 + \pi$ $4$ $0$ $16$
2.1.8.12b1.1-1.4.14c $2$ $4$ $1$ $4$ $14$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, 2, \frac{17}{8}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $4$ $0$ $8$
2.1.8.12b1.1-1.4.16a $2$ $4$ $1$ $4$ $16$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{13}{6}, \frac{13}{6}]$ $[\frac{13}{3}, \frac{13}{3}]$ $\langle\frac{13}{6}, \frac{13}{4}\rangle$ $(\frac{13}{3}, \frac{13}{3})$ $x^4 + b_{15} \pi^4 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + \pi$ $1$ $0$ $16$
2.1.8.12b1.1-1.4.16b $2$ $4$ $1$ $4$ $16$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, 2, \frac{19}{8}]$ $[1, 6]$ $\langle\frac{1}{2}, \frac{13}{4}\rangle$ $(1, 11)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5 + b_{15} \pi^4) x^3 + a_{2} \pi x^2 + (b_{21} \pi^6 + b_{17} \pi^5 + a_{13} \pi^4) x + c_{24} \pi^7 + c_{4} \pi^2 + \pi$ $4$ $0$ $32$
2.1.8.12b1.1-1.4.16c $2$ $4$ $1$ $4$ $16$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, 2, \frac{9}{4}]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $4$ $0$ $16$
2.1.8.12b1.1-1.4.18a $2$ $4$ $1$ $4$ $18$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{9}{4}, \frac{9}{4}]$ $[5, 5]$ $\langle\frac{5}{2}, \frac{15}{4}\rangle$ $(5, 5)$ $x^4 + (b_{19} \pi^5 + a_{15} \pi^4) x^3 + (b_{18} \pi^5 + b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{17} \pi^5 x + c_{20} \pi^6 + \pi$ $2$ $0$ $32$
2.1.8.12b1.1-1.4.18b $2$ $4$ $1$ $4$ $18$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, 2, \frac{5}{2}]$ $[1, 7]$ $\langle\frac{1}{2}, \frac{15}{4}\rangle$ $(1, 13)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6 + b_{19} \pi^5 + a_{15} \pi^4) x^3 + a_{2} \pi x^2 + (b_{25} \pi^7 + b_{21} \pi^6 + b_{17} \pi^5) x + c_{28} \pi^8 + c_{4} \pi^2 + \pi$ $4$ $0$ $64$
2.1.8.12b1.1-1.4.18c $2$ $4$ $1$ $4$ $18$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, 2, \frac{19}{8}]$ $[3, 6]$ $\langle\frac{3}{2}, \frac{15}{4}\rangle$ $(3, 9)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5 + a_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{12} \pi^4 + \pi$ $4$ $0$ $32$
2.1.8.12b1.1-1.4.20a $2$ $4$ $1$ $4$ $20$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{7}{3}, \frac{7}{3}]$ $[\frac{17}{3}, \frac{17}{3}]$ $\langle\frac{17}{6}, \frac{17}{4}\rangle$ $(\frac{17}{3}, \frac{17}{3})$ $x^4 + b_{19} \pi^5 x^3 + (b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{21} \pi^6 + a_{17} \pi^5) x + \pi$ $1$ $0$ $32$
2.1.8.12b1.1-1.4.20b $2$ $4$ $1$ $4$ $20$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, 2, \frac{21}{8}]$ $[1, 8]$ $\langle\frac{1}{2}, \frac{17}{4}\rangle$ $(1, 15)$ $x^4 + (b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + b_{19} \pi^5) x^3 + a_{2} \pi x^2 + (b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6 + a_{17} \pi^5) x + c_{32} \pi^9 + c_{4} \pi^2 + \pi$ $4$ $0$ $128$
2.1.8.12b1.1-1.4.20c $2$ $4$ $1$ $4$ $20$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, 2, \frac{5}{2}]$ $[3, 7]$ $\langle\frac{3}{2}, \frac{17}{4}\rangle$ $(3, 11)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{25} \pi^7 + b_{21} \pi^6 + a_{17} \pi^5) x + c_{28} \pi^8 + c_{12} \pi^4 + \pi$ $4$ $0$ $64$
2.1.8.12b1.1-1.4.20d $2$ $4$ $1$ $4$ $20$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{9}{4}, \frac{19}{8}]$ $[5, 6]$ $\langle\frac{5}{2}, \frac{17}{4}\rangle$ $(5, 7)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{18} \pi^5 + b_{14} \pi^4 + a_{10} \pi^3) x^2 + (b_{21} \pi^6 + a_{17} \pi^5) x + c_{24} \pi^7 + c_{20} \pi^6 + \pi$ $4$ $0$ $32$
2.1.8.12b1.1-1.4.22a $2$ $4$ $1$ $4$ $22$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{29}{12}, \frac{29}{12}]$ $[\frac{19}{3}, \frac{19}{3}]$ $\langle\frac{19}{6}, \frac{19}{4}\rangle$ $(\frac{19}{3}, \frac{19}{3})$ $x^4 + (b_{23} \pi^6 + a_{19} \pi^5) x^3 + (b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + b_{21} \pi^6) x + \pi$ $1$ $0$ $64$
2.1.8.12b1.1-1.4.22b $2$ $4$ $1$ $4$ $22$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, 2, \frac{11}{4}]$ $[1, 9]$ $\langle\frac{1}{2}, \frac{19}{4}\rangle$ $(1, 17)$ $x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + a_{2} \pi x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6) x + c_{36} \pi^{10} + c_{4} \pi^2 + \pi$ $4$ $0$ $256$
2.1.8.12b1.1-1.4.22c $2$ $4$ $1$ $4$ $22$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, 2, \frac{21}{8}]$ $[3, 8]$ $\langle\frac{3}{2}, \frac{19}{4}\rangle$ $(3, 13)$ $x^4 + (b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6) x + c_{32} \pi^9 + c_{12} \pi^4 + \pi$ $4$ $0$ $128$
2.1.8.12b1.1-1.4.22d $2$ $4$ $1$ $4$ $22$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{9}{4}, \frac{5}{2}]$ $[5, 7]$ $\langle\frac{5}{2}, \frac{19}{4}\rangle$ $(5, 9)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + (b_{18} \pi^5 + b_{14} \pi^4 + a_{10} \pi^3) x^2 + (b_{25} \pi^7 + b_{21} \pi^6) x + c_{28} \pi^8 + c_{20} \pi^6 + \pi$ $4$ $0$ $64$
2.1.8.12b1.1-1.4.24a $2$ $4$ $1$ $4$ $24$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, \frac{5}{2}, \frac{5}{2}]$ $[7, 7]$ $\langle\frac{7}{2}, \frac{21}{4}\rangle$ $(7, 7)$ $x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ $2$ $0$ $128$
2.1.8.12b1.1-1.4.24b $2$ $4$ $1$ $4$ $24$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, 2, \frac{23}{8}]$ $[1, 10]$ $\langle\frac{1}{2}, \frac{21}{4}\rangle$ $(1, 19)$ $x^4 + (b_{39} \pi^{10} + b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6) x^3 + a_{2} \pi x^2 + (b_{37} \pi^{10} + b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7 + a_{21} \pi^6) x + c_{40} \pi^{11} + c_{4} \pi^2 + \pi$ $4$ $0$ $512$
2.1.8.12b1.1-1.4.24c $2$ $4$ $1$ $4$ $24$ 2.1.8.12b1.1 $[\frac{4}{3}, \frac{4}{3}, 2, 2, \frac{11}{4}]$ $[3, 9]$ $\langle\frac{3}{2}, \frac{21}{4}\rangle$ $(3, 15)$ $x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7 + a_{21} \pi^6) x + c_{36} \pi^{10} + c_{12} \pi^4 + \pi$ $4$ $0$ $256$
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