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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
3.2.18.74c $3$ $36$ $2$ $18$ $74$ $\Q_{3}$ $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{1}{2}, \frac{3}{2}]$ $\langle\frac{1}{3}, \frac{10}{9}\rangle$ $(1, 7)$ $x^{18} + (3 c_{9} + 9 c_{27}) x^9 + 9 b_{26} x^8 + 9 b_{25} x^7 + 3 a_{6} x^6 + 9 b_{23} x^5 + 9 b_{22} x^4 + 9 a_{20} x^2 + 3 d_{0}$ $36$ $0$ $419904$
3.2.1.0a1.1-1.18.37c $3$ $18$ $1$ $18$ $37$ $\Q_{3}(\sqrt{2})$ $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{1}{2}, \frac{3}{2}]$ $\langle\frac{1}{3}, \frac{10}{9}\rangle$ $(1, 7)$ $x^{18} + (3 c_{9} + 9 c_{27}) x^9 + 9 b_{26} x^8 + 9 b_{25} x^7 + 3 a_{6} x^6 + 9 b_{23} x^5 + 9 b_{22} x^4 + 9 a_{20} x^2 + 3 d_{0}$ $18$ $0$ $419904$
3.1.2.1a1.1-2.9.56c $3$ $18$ $2$ $9$ $56$ $\Q_{3}(\sqrt{3\cdot 2})$ $[\frac{3}{2}, \frac{5}{2}]$ $[1, 3]$ $\langle\frac{2}{3}, \frac{20}{9}\rangle$ $(1, 7)$ $x^9 + b_{26} \pi^3 x^8 + b_{25} \pi^3 x^7 + a_{6} \pi x^6 + b_{23} \pi^3 x^5 + b_{22} \pi^3 x^4 + a_{20} \pi^3 x^2 + c_{27} \pi^4 + c_{9} \pi^2 + \pi$ $18$ $0$ $419904$
3.1.2.1a1.2-2.9.56c $3$ $18$ $2$ $9$ $56$ $\Q_{3}(\sqrt{3})$ $[\frac{3}{2}, \frac{5}{2}]$ $[1, 3]$ $\langle\frac{2}{3}, \frac{20}{9}\rangle$ $(1, 7)$ $x^9 + b_{26} \pi^3 x^8 + b_{25} \pi^3 x^7 + a_{6} \pi x^6 + b_{23} \pi^3 x^5 + b_{22} \pi^3 x^4 + a_{20} \pi^3 x^2 + c_{27} \pi^4 + c_{9} \pi^2 + \pi$ $18$ $0$ $419904$
3.1.3.3a1.1-2.6.38a $3$ $12$ $2$ $6$ $38$ 3.1.3.3a1.1 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(7)$ $x^6 + b_{17} \pi^3 x^5 + b_{16} \pi^3 x^4 + c_{21} \pi^4 x^3 + (b_{20} \pi^4 + a_{14} \pi^3) x^2 + b_{19} \pi^4 x + d_{0} \pi$ $12$ $0$ $52488$
3.1.3.3a1.2-2.6.38a $3$ $12$ $2$ $6$ $38$ 3.1.3.3a1.2 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(7)$ $x^6 + b_{17} \pi^3 x^5 + b_{16} \pi^3 x^4 + c_{21} \pi^4 x^3 + (b_{20} \pi^4 + a_{14} \pi^3) x^2 + b_{19} \pi^4 x + d_{0} \pi$ $12$ $0$ $52488$
3.1.3.5a1.1-2.6.14a $3$ $12$ $2$ $6$ $14$ 3.1.3.5a1.1 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(1)$ $x^6 + c_{3} \pi x^3 + a_{2} \pi x^2 + d_{0} \pi$ $12$ $0$ $8$
3.1.3.5a1.2-2.6.14a $3$ $12$ $2$ $6$ $14$ 3.1.3.5a1.2 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(1)$ $x^6 + c_{3} \pi x^3 + a_{2} \pi x^2 + d_{0} \pi$ $12$ $0$ $8$
3.1.3.5a1.3-2.6.14a $3$ $12$ $2$ $6$ $14$ 3.1.3.5a1.3 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(1)$ $x^6 + c_{3} \pi x^3 + a_{2} \pi x^2 + d_{0} \pi$ $12$ $0$ $8$
3.2.2.2a1.1-1.9.28c $3$ $9$ $1$ $9$ $28$ 3.2.2.2a1.1 $[\frac{3}{2}, \frac{5}{2}]$ $[1, 3]$ $\langle\frac{2}{3}, \frac{20}{9}\rangle$ $(1, 7)$ $x^9 + b_{26} \pi^3 x^8 + b_{25} \pi^3 x^7 + a_{6} \pi x^6 + b_{23} \pi^3 x^5 + b_{22} \pi^3 x^4 + a_{20} \pi^3 x^2 + c_{27} \pi^4 + c_{9} \pi^2 + \pi$ $9$ $0$ $419904$
3.2.2.2a1.2-1.9.28c $3$ $9$ $1$ $9$ $28$ 3.2.2.2a1.2 $[\frac{3}{2}, \frac{5}{2}]$ $[1, 3]$ $\langle\frac{2}{3}, \frac{20}{9}\rangle$ $(1, 7)$ $x^9 + b_{26} \pi^3 x^8 + b_{25} \pi^3 x^7 + a_{6} \pi x^6 + b_{23} \pi^3 x^5 + b_{22} \pi^3 x^4 + a_{20} \pi^3 x^2 + c_{27} \pi^4 + c_{9} \pi^2 + \pi$ $9$ $0$ $419904$
3.2.3.6a1.1-1.6.19a $3$ $6$ $1$ $6$ $19$ 3.2.3.6a1.1 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(7)$ $x^6 + b_{17} \pi^3 x^5 + b_{16} \pi^3 x^4 + c_{21} \pi^4 x^3 + (b_{20} \pi^4 + a_{14} \pi^3) x^2 + b_{19} \pi^4 x + d_{0} \pi$ $6$ $0$ $52488$
3.2.3.6a2.1-1.6.19a $3$ $6$ $1$ $6$ $19$ 3.2.3.6a2.1 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(7)$ $x^6 + b_{17} \pi^3 x^5 + b_{16} \pi^3 x^4 + c_{21} \pi^4 x^3 + (b_{20} \pi^4 + a_{14} \pi^3) x^2 + b_{19} \pi^4 x + d_{0} \pi$ $6$ $0$ $52488$
3.2.3.6a3.1-1.6.19a $3$ $6$ $1$ $6$ $19$ 3.2.3.6a3.1 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(7)$ $x^6 + b_{17} \pi^3 x^5 + b_{16} \pi^3 x^4 + c_{21} \pi^4 x^3 + (b_{20} \pi^4 + a_{14} \pi^3) x^2 + b_{19} \pi^4 x + d_{0} \pi$ $6$ $0$ $52488$
3.2.3.6a4.1-1.6.19a $3$ $6$ $1$ $6$ $19$ 3.2.3.6a4.1 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(7)$ $x^6 + b_{17} \pi^3 x^5 + b_{16} \pi^3 x^4 + c_{21} \pi^4 x^3 + (b_{20} \pi^4 + a_{14} \pi^3) x^2 + b_{19} \pi^4 x + d_{0} \pi$ $6$ $0$ $52488$
3.2.3.6a5.1-1.6.19a $3$ $6$ $1$ $6$ $19$ 3.2.3.6a5.1 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(7)$ $x^6 + b_{17} \pi^3 x^5 + b_{16} \pi^3 x^4 + c_{21} \pi^4 x^3 + (b_{20} \pi^4 + a_{14} \pi^3) x^2 + b_{19} \pi^4 x + d_{0} \pi$ $6$ $0$ $52488$
3.2.3.10a1.1-1.6.7a $3$ $6$ $1$ $6$ $7$ 3.2.3.10a1.1 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(1)$ $x^6 + c_{3} \pi x^3 + a_{2} \pi x^2 + d_{0} \pi$ $6$ $0$ $8$
3.2.3.10a1.2-1.6.7a $3$ $6$ $1$ $6$ $7$ 3.2.3.10a1.2 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(1)$ $x^6 + c_{3} \pi x^3 + a_{2} \pi x^2 + d_{0} \pi$ $6$ $0$ $8$
3.2.3.10a1.3-1.6.7a $3$ $6$ $1$ $6$ $7$ 3.2.3.10a1.3 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(1)$ $x^6 + c_{3} \pi x^3 + a_{2} \pi x^2 + d_{0} \pi$ $6$ $0$ $8$
3.2.3.10a1.4-1.6.7a $3$ $6$ $1$ $6$ $7$ 3.2.3.10a1.4 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(1)$ $x^6 + c_{3} \pi x^3 + a_{2} \pi x^2 + d_{0} \pi$ $6$ $0$ $8$
3.2.3.10a1.5-1.6.7a $3$ $6$ $1$ $6$ $7$ 3.2.3.10a1.5 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(1)$ $x^6 + c_{3} \pi x^3 + a_{2} \pi x^2 + d_{0} \pi$ $6$ $0$ $8$
3.2.3.10a1.6-1.6.7a $3$ $6$ $1$ $6$ $7$ 3.2.3.10a1.6 $[\frac{3}{2}, \frac{5}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(1)$ $x^6 + c_{3} \pi x^3 + a_{2} \pi x^2 + d_{0} \pi$ $6$ $0$ $8$
3.1.6.7a1.1-2.3.32a $3$ $6$ $2$ $3$ $32$ 3.1.6.7a1.1 $[\frac{3}{2}, \frac{5}{2}]$ $[7]$ $\langle\frac{14}{3}\rangle$ $(7)$ $x^3 + (b_{20} \pi^7 + b_{17} \pi^6 + a_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6) x + c_{21} \pi^8 + \pi$ $6$ $0$ $52488$
3.1.6.7a1.2-2.3.32a $3$ $6$ $2$ $3$ $32$ 3.1.6.7a1.2 $[\frac{3}{2}, \frac{5}{2}]$ $[7]$ $\langle\frac{14}{3}\rangle$ $(7)$ $x^3 + (b_{20} \pi^7 + b_{17} \pi^6 + a_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6) x + c_{21} \pi^8 + \pi$ $6$ $0$ $52488$
3.1.6.7a1.3-2.3.32a $3$ $6$ $2$ $3$ $32$ 3.1.6.7a1.3 $[\frac{3}{2}, \frac{5}{2}]$ $[7]$ $\langle\frac{14}{3}\rangle$ $(7)$ $x^3 + (b_{20} \pi^7 + b_{17} \pi^6 + a_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6) x + c_{21} \pi^8 + \pi$ $6$ $0$ $52488$
3.1.6.7a1.4-2.3.32a $3$ $6$ $2$ $3$ $32$ 3.1.6.7a1.4 $[\frac{3}{2}, \frac{5}{2}]$ $[7]$ $\langle\frac{14}{3}\rangle$ $(7)$ $x^3 + (b_{20} \pi^7 + b_{17} \pi^6 + a_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6) x + c_{21} \pi^8 + \pi$ $6$ $0$ $52488$
3.1.6.7a2.1-2.3.32a $3$ $6$ $2$ $3$ $32$ 3.1.6.7a2.1 $[\frac{3}{2}, \frac{5}{2}]$ $[7]$ $\langle\frac{14}{3}\rangle$ $(7)$ $x^3 + (b_{20} \pi^7 + b_{17} \pi^6 + a_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6) x + c_{21} \pi^8 + \pi$ $6$ $0$ $52488$
3.1.6.7a2.2-2.3.32a $3$ $6$ $2$ $3$ $32$ 3.1.6.7a2.2 $[\frac{3}{2}, \frac{5}{2}]$ $[7]$ $\langle\frac{14}{3}\rangle$ $(7)$ $x^3 + (b_{20} \pi^7 + b_{17} \pi^6 + a_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6) x + c_{21} \pi^8 + \pi$ $6$ $0$ $52488$
3.1.6.11a1.1-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.1 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.2-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.2 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.3-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.3 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.4-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.4 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.5-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.5 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.6-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.6 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.7-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.7 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.8-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.8 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.9-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.9 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.10-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.10 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.11-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.11 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.12-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.12 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.13-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.13 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.14-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.14 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a1.15-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a1.15 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a2.1-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a2.1 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a2.2-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a2.2 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a2.3-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a2.3 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a2.4-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a2.4 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a2.5-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a2.5 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.6.11a2.6-2.3.8a $3$ $6$ $2$ $3$ $8$ 3.1.6.11a2.6 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $6$ $0$ $8$
3.1.9.18b1.1-2.2.2a $3$ $4$ $2$ $2$ $2$ 3.1.9.18b1.1 $[\frac{3}{2}, \frac{5}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $0$ $1$
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