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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
3.2.6.22a1.68-2.1.0a $3$ $2$ $2$ $1$ $0$ 3.2.6.22a1.68 $[\frac{5}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $0$ $1$
3.2.6.22a1.68-1.2.1a $3$ $2$ $1$ $2$ $1$ 3.2.6.22a1.68 $[\frac{5}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $0$ $1$
3.2.6.22a1.68-3.1.0a $3$ $3$ $3$ $1$ $0$ 3.2.6.22a1.68 $[\frac{5}{2}]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $0$ $1$
3.2.6.22a1.68-1.3.3a $3$ $3$ $1$ $3$ $3$ 3.2.6.22a1.68 $[\frac{5}{4}, \frac{5}{2}]$ $[\frac{1}{2}]$ $\langle\frac{1}{3}\rangle$ $(\frac{1}{2})$ $x^3 + a_{1} \pi x + \pi$ $1$ $0$ $8$
3.2.6.22a1.68-1.3.4a $3$ $3$ $1$ $3$ $4$ 3.2.6.22a1.68 $[\frac{3}{2}, \frac{5}{2}]$ $[1]$ $\langle\frac{2}{3}\rangle$ $(1)$ $x^3 + a_{2} \pi x^2 + c_{3} \pi^2 + \pi$ $3$ $0$ $8$
3.2.6.22a1.68-1.3.6a $3$ $3$ $1$ $3$ $6$ 3.2.6.22a1.68 $[2, \frac{5}{2}]$ $[2]$ $\langle\frac{4}{3}\rangle$ $(2)$ $x^3 + b_{5} \pi^2 x^2 + a_{4} \pi^2 x + c_{6} \pi^3 + \pi$ $3$ $0$ $72$
3.2.6.22a1.68-1.3.7a $3$ $3$ $1$ $3$ $7$ 3.2.6.22a1.68 $[\frac{9}{4}, \frac{5}{2}]$ $[\frac{5}{2}]$ $\langle\frac{5}{3}\rangle$ $(\frac{5}{2})$ $x^3 + a_{5} \pi^2 x^2 + b_{7} \pi^3 x + \pi$ $1$ $0$ $72$
3.2.6.22a1.68-1.3.9a $3$ $3$ $1$ $3$ $9$ 3.2.6.22a1.68 $[\frac{5}{2}, \frac{31}{12}]$ $[\frac{7}{2}]$ $\langle\frac{7}{3}\rangle$ $(\frac{7}{2})$ $x^3 + b_{8} \pi^3 x^2 + (b_{10} \pi^4 + a_{7} \pi^3) x + \pi$ $1$ $0$ $648$
3.2.6.22a1.68-1.3.10a $3$ $3$ $1$ $3$ $10$ 3.2.6.22a1.68 $[\frac{5}{2}, \frac{8}{3}]$ $[4]$ $\langle\frac{8}{3}\rangle$ $(4)$ $x^3 + (b_{11} \pi^4 + a_{8} \pi^3) x^2 + b_{10} \pi^4 x + c_{12} \pi^5 + \pi$ $3$ $0$ $648$
3.2.6.22a1.68-1.3.12a $3$ $3$ $1$ $3$ $12$ 3.2.6.22a1.68 $[\frac{5}{2}, \frac{17}{6}]$ $[5]$ $\langle\frac{10}{3}\rangle$ $(5)$ $x^3 + (b_{14} \pi^5 + b_{11} \pi^4) x^2 + (b_{13} \pi^5 + a_{10} \pi^4) x + c_{15} \pi^6 + \pi$ $3$ $0$ $5832$
3.2.6.22a1.68-1.3.13a $3$ $3$ $1$ $3$ $13$ 3.2.6.22a1.68 $[\frac{5}{2}, \frac{35}{12}]$ $[\frac{11}{2}]$ $\langle\frac{11}{3}\rangle$ $(\frac{11}{2})$ $x^3 + (b_{14} \pi^5 + a_{11} \pi^4) x^2 + (b_{16} \pi^6 + b_{13} \pi^5) x + \pi$ $1$ $0$ $5832$
3.2.6.22a1.68-1.3.15a $3$ $3$ $1$ $3$ $15$ 3.2.6.22a1.68 $[\frac{5}{2}, \frac{37}{12}]$ $[\frac{13}{2}]$ $\langle\frac{13}{3}\rangle$ $(\frac{13}{2})$ $x^3 + (b_{17} \pi^6 + b_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6 + a_{13} \pi^5) x + \pi$ $1$ $0$ $52488$
3.2.6.22a1.68-1.3.16a $3$ $3$ $1$ $3$ $16$ 3.2.6.22a1.68 $[\frac{5}{2}, \frac{19}{6}]$ $[7]$ $\langle\frac{14}{3}\rangle$ $(7)$ $x^3 + (b_{20} \pi^7 + b_{17} \pi^6 + a_{14} \pi^5) x^2 + (b_{19} \pi^7 + b_{16} \pi^6) x + c_{21} \pi^8 + \pi$ $3$ $0$ $52488$
3.2.6.22a1.68-1.3.18a $3$ $3$ $1$ $3$ $18$ 3.2.6.22a1.68 $[\frac{5}{2}, \frac{10}{3}]$ $[8]$ $\langle\frac{16}{3}\rangle$ $(8)$ $x^3 + (b_{23} \pi^8 + b_{20} \pi^7 + b_{17} \pi^6) x^2 + (b_{22} \pi^8 + b_{19} \pi^7 + a_{16} \pi^6) x + c_{24} \pi^9 + \pi$ $3$ $0$ $472392$
3.2.6.22a1.68-1.3.19a $3$ $3$ $1$ $3$ $19$ 3.2.6.22a1.68 $[\frac{5}{2}, \frac{41}{12}]$ $[\frac{17}{2}]$ $\langle\frac{17}{3}\rangle$ $(\frac{17}{2})$ $x^3 + (b_{23} \pi^8 + b_{20} \pi^7 + a_{17} \pi^6) x^2 + (b_{25} \pi^9 + b_{22} \pi^8 + b_{19} \pi^7) x + \pi$ $1$ $0$ $472392$
3.2.6.22a1.68-1.3.20a $3$ $3$ $1$ $3$ $20$ 3.2.6.22a1.68 $[\frac{5}{2}, \frac{7}{2}]$ $[9]$ $\langle6\rangle$ $(9)$ $x^3 + (b_{26} \pi^9 + b_{23} \pi^8 + b_{20} \pi^7) x^2 + (b_{25} \pi^9 + b_{22} \pi^8 + b_{19} \pi^7) x + c_{27} \pi^{10} + \pi$ $3$ $0$ $531441$
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