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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
2.2.8.36b $2$ $16$ $2$ $8$ $36$ $\Q_{2}$ $[2, 2, 3]$ $[1, 1, 2]$ $\langle\frac{1}{2}, \frac{3}{4}, \frac{11}{8}\rangle$ $(1, 1, 5)$ $x^8 + 4 b_{15} x^7 + 2 a_{6} x^6 + 4 b_{13} x^5 + 2 b_{4} x^4 + 4 a_{11} x^3 + 4 c_{8} + 8 c_{16} + 2$ $16$ $694$ $576$
2.2.1.0a1.1-1.8.18b $2$ $8$ $1$ $8$ $18$ $\Q_{2}(\sqrt{5})$ $[2, 2, 3]$ $[1, 1, 2]$ $\langle\frac{1}{2}, \frac{3}{4}, \frac{11}{8}\rangle$ $(1, 1, 5)$ $x^8 + 4 b_{15} x^7 + 2 a_{6} x^6 + 4 b_{13} x^5 + 2 b_{4} x^4 + 4 a_{11} x^3 + 4 c_{8} + 8 c_{16} + 2$ $8$ $694$ $576$
2.1.2.2a1.1-2.4.20b $2$ $8$ $2$ $4$ $20$ $\Q_{2}(\sqrt{-1})$ $[2, 2, 3]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $8$ $108$ $144$
2.1.2.2a1.2-2.4.20b $2$ $8$ $2$ $4$ $20$ $\Q_{2}(\sqrt{-5})$ $[2, 2, 3]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $8$ $108$ $144$
2.1.2.3a1.1-2.4.12a $2$ $8$ $2$ $4$ $12$ $\Q_{2}(\sqrt{-2})$ $[2, 2, 3]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ $8$ $12$ $12$
2.1.2.3a1.2-2.4.12a $2$ $8$ $2$ $4$ $12$ $\Q_{2}(\sqrt{-2\cdot 5})$ $[2, 2, 3]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ $8$ $12$ $12$
2.1.2.3a1.3-2.4.12a $2$ $8$ $2$ $4$ $12$ $\Q_{2}(\sqrt{2})$ $[2, 2, 3]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ $8$ $12$ $12$
2.1.2.3a1.4-2.4.12a $2$ $8$ $2$ $4$ $12$ $\Q_{2}(\sqrt{2\cdot 5})$ $[2, 2, 3]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ $8$ $12$ $12$
2.2.2.4a1.1-1.4.10b $2$ $4$ $1$ $4$ $10$ 2.2.2.4a1.1 $[2, 2, 3]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $4$ $108$ $144$
2.2.2.4a1.2-1.4.10b $2$ $4$ $1$ $4$ $10$ 2.2.2.4a1.2 $[2, 2, 3]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $4$ $102$ $144$
2.2.2.4a2.1-1.4.10b $2$ $4$ $1$ $4$ $10$ 2.2.2.4a2.1 $[2, 2, 3]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $4$ $186$ $144$
2.2.2.4a2.2-1.4.10b $2$ $4$ $1$ $4$ $10$ 2.2.2.4a2.2 $[2, 2, 3]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $4$ $186$ $144$
2.2.2.6a1.1-1.4.6a $2$ $4$ $1$ $4$ $6$ 2.2.2.6a1.1 $[2, 2, 3]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ $4$ $12$ $12$
2.2.2.6a1.2-1.4.6a $2$ $4$ $1$ $4$ $6$ 2.2.2.6a1.2 $[2, 2, 3]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ $4$ $12$ $12$
2.2.2.6a1.3-1.4.6a $2$ $4$ $1$ $4$ $6$ 2.2.2.6a1.3 $[2, 2, 3]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ $4$ $20$ $12$
2.2.2.6a1.4-1.4.6a $2$ $4$ $1$ $4$ $6$ 2.2.2.6a1.4 $[2, 2, 3]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ $4$ $20$ $12$
2.2.2.6a1.5-1.4.6a $2$ $4$ $1$ $4$ $6$ 2.2.2.6a1.5 $[2, 2, 3]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ $4$ $12$ $12$
2.2.2.6a1.6-1.4.6a $2$ $4$ $1$ $4$ $6$ 2.2.2.6a1.6 $[2, 2, 3]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ $4$ $12$ $12$
2.1.4.6a1.1-2.2.12a $2$ $4$ $2$ $2$ $12$ 2.1.4.6a1.1 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $4$ $24$ $48$
2.1.4.6a1.2-2.2.12a $2$ $4$ $2$ $2$ $12$ 2.1.4.6a1.2 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $4$ $24$ $48$
2.1.4.6a2.1-2.2.12a $2$ $4$ $2$ $2$ $12$ 2.1.4.6a2.1 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $4$ $52$ $48$
2.1.4.8b1.1-2.2.4a $2$ $4$ $2$ $2$ $4$ 2.1.4.8b1.1 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $4$ $3$ $3$
2.1.4.8b1.2-2.2.4a $2$ $4$ $2$ $2$ $4$ 2.1.4.8b1.2 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $4$ $3$ $3$
2.1.4.8b1.3-2.2.4a $2$ $4$ $2$ $2$ $4$ 2.1.4.8b1.3 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $4$ $3$ $3$
2.1.4.8b1.4-2.2.4a $2$ $4$ $2$ $2$ $4$ 2.1.4.8b1.4 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $4$ $3$ $3$
2.1.4.8b1.5-2.2.4a $2$ $4$ $2$ $2$ $4$ 2.1.4.8b1.5 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $4$ $3$ $3$
2.1.4.8b1.6-2.2.4a $2$ $4$ $2$ $2$ $4$ 2.1.4.8b1.6 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $4$ $3$ $3$
2.2.4.12a1.1-1.2.6a $2$ $2$ $1$ $2$ $6$ 2.2.4.12a1.1 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $2$ $24$ $48$
2.2.4.12a1.2-1.2.6a $2$ $2$ $1$ $2$ $6$ 2.2.4.12a1.2 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $2$ $42$ $48$
2.2.4.12a1.3-1.2.6a $2$ $2$ $1$ $2$ $6$ 2.2.4.12a1.3 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $2$ $24$ $48$
2.2.4.12a2.1-1.2.6a $2$ $2$ $1$ $2$ $6$ 2.2.4.12a2.1 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $2$ $96$ $48$
2.2.4.12a3.1-1.2.6a $2$ $2$ $1$ $2$ $6$ 2.2.4.12a3.1 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $2$ $52$ $48$
2.2.4.12a4.1-1.2.6a $2$ $2$ $1$ $2$ $6$ 2.2.4.12a4.1 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $2$ $60$ $48$
2.2.4.12a4.2-1.2.6a $2$ $2$ $1$ $2$ $6$ 2.2.4.12a4.2 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $2$ $60$ $48$
2.2.4.12a5.1-1.2.6a $2$ $2$ $1$ $2$ $6$ 2.2.4.12a5.1 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $2$ $96$ $48$
2.2.4.12a6.1-1.2.6a $2$ $2$ $1$ $2$ $6$ 2.2.4.12a6.1 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $2$ $60$ $48$
2.2.4.12a6.2-1.2.6a $2$ $2$ $1$ $2$ $6$ 2.2.4.12a6.2 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $2$ $60$ $48$
2.2.4.12a7.1-1.2.6a $2$ $2$ $1$ $2$ $6$ 2.2.4.12a7.1 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $2$ $60$ $48$
2.2.4.12a7.2-1.2.6a $2$ $2$ $1$ $2$ $6$ 2.2.4.12a7.2 $[2, 2, 3]$ $[5]$ $\langle\frac{5}{2}\rangle$ $(5)$ $x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ $2$ $60$ $48$
2.2.4.16b1.1-1.2.2a $2$ $2$ $1$ $2$ $2$ 2.2.4.16b1.1 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $2$ $3$ $3$
2.2.4.16b1.2-1.2.2a $2$ $2$ $1$ $2$ $2$ 2.2.4.16b1.2 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $2$ $3$ $3$
2.2.4.16b1.3-1.2.2a $2$ $2$ $1$ $2$ $2$ 2.2.4.16b1.3 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $2$ $6$ $3$
2.2.4.16b1.4-1.2.2a $2$ $2$ $1$ $2$ $2$ 2.2.4.16b1.4 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $2$ $3$ $3$
2.2.4.16b1.5-1.2.2a $2$ $2$ $1$ $2$ $2$ 2.2.4.16b1.5 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $2$ $3$ $3$
2.2.4.16b1.6-1.2.2a $2$ $2$ $1$ $2$ $2$ 2.2.4.16b1.6 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $2$ $5$ $3$
2.2.4.16b1.7-1.2.2a $2$ $2$ $1$ $2$ $2$ 2.2.4.16b1.7 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $2$ $4$ $3$
2.2.4.16b1.8-1.2.2a $2$ $2$ $1$ $2$ $2$ 2.2.4.16b1.8 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $2$ $2$ $3$
2.2.4.16b1.9-1.2.2a $2$ $2$ $1$ $2$ $2$ 2.2.4.16b1.9 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $2$ $2$ $3$
2.2.4.16b2.1-1.2.2a $2$ $2$ $1$ $2$ $2$ 2.2.4.16b2.1 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $2$ $4$ $3$
2.2.4.16b2.2-1.2.2a $2$ $2$ $1$ $2$ $2$ 2.2.4.16b2.2 $[2, 2, 3]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $2$ $4$ $3$
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