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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
5.1.7.6a1.1-2.1.0a $5$ $2$ $2$ $1$ $0$ 5.1.7.6a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
5.1.7.6a1.1-1.2.1a $5$ $2$ $1$ $2$ $1$ 5.1.7.6a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $2$ $1$
5.1.7.6a1.1-3.1.0a $5$ $3$ $3$ $1$ $0$ 5.1.7.6a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $1$ $1$
5.1.7.6a1.1-1.3.2a $5$ $3$ $1$ $3$ $2$ 5.1.7.6a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + \pi$ $1$ $1$ $1$
5.1.7.6a1.1-4.1.0a $5$ $4$ $4$ $1$ $0$ 5.1.7.6a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $4$ $0$ $1$
5.1.7.6a1.1-2.2.2a $5$ $4$ $2$ $2$ $2$ 5.1.7.6a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $0$ $1$
5.1.7.6a1.1-1.4.3a $5$ $4$ $1$ $4$ $3$ 5.1.7.6a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + d_{0} \pi$ $4$ $0$ $1$
5.1.7.6a1.1-5.1.0a $5$ $5$ $5$ $1$ $0$ 5.1.7.6a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $5$ $0$ $1$
5.1.7.6a1.1-1.5.5a $5$ $5$ $1$ $5$ $5$ 5.1.7.6a1.1 $[\frac{29}{28}]$ $[\frac{1}{4}]$ $\langle\frac{1}{5}\rangle$ $(\frac{1}{4})$ $x^5 + a_{1} \pi x + \pi$ $1$ $0$ $4$
5.1.7.6a1.1-1.5.6a $5$ $5$ $1$ $5$ $6$ 5.1.7.6a1.1 $[\frac{15}{14}]$ $[\frac{1}{2}]$ $\langle\frac{2}{5}\rangle$ $(\frac{1}{2})$ $x^5 + a_{2} \pi x^2 + \pi$ $1$ $0$ $4$
5.1.7.6a1.1-1.5.7a $5$ $5$ $1$ $5$ $7$ 5.1.7.6a1.1 $[\frac{31}{28}]$ $[\frac{3}{4}]$ $\langle\frac{3}{5}\rangle$ $(\frac{3}{4})$ $x^5 + a_{3} \pi x^3 + \pi$ $1$ $0$ $4$
5.1.7.6a1.1-1.5.8a $5$ $5$ $1$ $5$ $8$ 5.1.7.6a1.1 $[\frac{8}{7}]$ $[1]$ $\langle\frac{4}{5}\rangle$ $(1)$ $x^5 + a_{4} \pi x^4 + c_{5} \pi^2 + \pi$ $5$ $0$ $4$
5.1.7.6a1.1-1.5.10a $5$ $5$ $1$ $5$ $10$ 5.1.7.6a1.1 $[\frac{17}{14}]$ $[\frac{3}{2}]$ $\langle\frac{6}{5}\rangle$ $(\frac{3}{2})$ $x^5 + b_{7} \pi^2 x^2 + a_{6} \pi^2 x + \pi$ $1$ $0$ $20$
5.1.7.6a1.1-1.5.11a $5$ $5$ $1$ $5$ $11$ 5.1.7.6a1.1 $[\frac{5}{4}]$ $[\frac{7}{4}]$ $\langle\frac{7}{5}\rangle$ $(\frac{7}{4})$ $x^5 + b_{8} \pi^2 x^3 + a_{7} \pi^2 x^2 + \pi$ $1$ $0$ $20$
5.1.7.6a1.1-1.5.12a $5$ $5$ $1$ $5$ $12$ 5.1.7.6a1.1 $[\frac{9}{7}]$ $[2]$ $\langle\frac{8}{5}\rangle$ $(2)$ $x^5 + b_{9} \pi^2 x^4 + a_{8} \pi^2 x^3 + c_{10} \pi^3 + \pi$ $5$ $0$ $20$
5.1.7.6a1.1-1.5.13a $5$ $5$ $1$ $5$ $13$ 5.1.7.6a1.1 $[\frac{37}{28}]$ $[\frac{9}{4}]$ $\langle\frac{9}{5}\rangle$ $(\frac{9}{4})$ $x^5 + a_{9} \pi^2 x^4 + b_{11} \pi^3 x + \pi$ $1$ $0$ $20$
5.1.7.6a1.1-1.5.15a $5$ $5$ $1$ $5$ $15$ 5.1.7.6a1.1 $[\frac{39}{28}]$ $[\frac{11}{4}]$ $\langle\frac{11}{5}\rangle$ $(\frac{11}{4})$ $x^5 + b_{13} \pi^3 x^3 + b_{12} \pi^3 x^2 + a_{11} \pi^3 x + \pi$ $1$ $0$ $100$
5.1.7.6a1.1-1.5.16a $5$ $5$ $1$ $5$ $16$ 5.1.7.6a1.1 $[\frac{10}{7}]$ $[3]$ $\langle\frac{12}{5}\rangle$ $(3)$ $x^5 + b_{14} \pi^3 x^4 + b_{13} \pi^3 x^3 + a_{12} \pi^3 x^2 + c_{15} \pi^4 + \pi$ $5$ $0$ $100$
5.1.7.6a1.1-1.5.17a $5$ $5$ $1$ $5$ $17$ 5.1.7.6a1.1 $[\frac{41}{28}]$ $[\frac{13}{4}]$ $\langle\frac{13}{5}\rangle$ $(\frac{13}{4})$ $x^5 + b_{14} \pi^3 x^4 + a_{13} \pi^3 x^3 + b_{16} \pi^4 x + \pi$ $1$ $0$ $100$
5.1.7.6a1.1-1.5.18a $5$ $5$ $1$ $5$ $18$ 5.1.7.6a1.1 $[\frac{3}{2}]$ $[\frac{7}{2}]$ $\langle\frac{14}{5}\rangle$ $(\frac{7}{2})$ $x^5 + a_{14} \pi^3 x^4 + b_{17} \pi^4 x^2 + b_{16} \pi^4 x + \pi$ $1$ $0$ $100$
5.1.7.6a1.1-1.5.20a $5$ $5$ $1$ $5$ $20$ 5.1.7.6a1.1 $[\frac{11}{7}]$ $[4]$ $\langle\frac{16}{5}\rangle$ $(4)$ $x^5 + b_{19} \pi^4 x^4 + b_{18} \pi^4 x^3 + b_{17} \pi^4 x^2 + a_{16} \pi^4 x + c_{20} \pi^5 + \pi$ $5$ $0$ $500$
5.1.7.6a1.1-1.5.21a $5$ $5$ $1$ $5$ $21$ 5.1.7.6a1.1 $[\frac{45}{28}]$ $[\frac{17}{4}]$ $\langle\frac{17}{5}\rangle$ $(\frac{17}{4})$ $x^5 + b_{19} \pi^4 x^4 + b_{18} \pi^4 x^3 + a_{17} \pi^4 x^2 + b_{21} \pi^5 x + \pi$ $1$ $0$ $500$
5.1.7.6a1.1-1.5.22a $5$ $5$ $1$ $5$ $22$ 5.1.7.6a1.1 $[\frac{23}{14}]$ $[\frac{9}{2}]$ $\langle\frac{18}{5}\rangle$ $(\frac{9}{2})$ $x^5 + b_{19} \pi^4 x^4 + a_{18} \pi^4 x^3 + b_{22} \pi^5 x^2 + b_{21} \pi^5 x + \pi$ $1$ $0$ $500$
5.1.7.6a1.1-1.5.23a $5$ $5$ $1$ $5$ $23$ 5.1.7.6a1.1 $[\frac{47}{28}]$ $[\frac{19}{4}]$ $\langle\frac{19}{5}\rangle$ $(\frac{19}{4})$ $x^5 + a_{19} \pi^4 x^4 + b_{23} \pi^5 x^3 + b_{22} \pi^5 x^2 + b_{21} \pi^5 x + \pi$ $1$ $0$ $500$
5.1.7.6a1.1-1.5.25a $5$ $5$ $1$ $5$ $25$ 5.1.7.6a1.1 $[\frac{7}{4}]$ $[\frac{21}{4}]$ $\langle\frac{21}{5}\rangle$ $(\frac{21}{4})$ $x^5 + b_{24} \pi^5 x^4 + b_{23} \pi^5 x^3 + b_{22} \pi^5 x^2 + (b_{26} \pi^6 + a_{21} \pi^5) x + \pi$ $1$ $0$ $2500$
5.1.7.6a1.1-1.5.26a $5$ $5$ $1$ $5$ $26$ 5.1.7.6a1.1 $[\frac{25}{14}]$ $[\frac{11}{2}]$ $\langle\frac{22}{5}\rangle$ $(\frac{11}{2})$ $x^5 + b_{24} \pi^5 x^4 + b_{23} \pi^5 x^3 + (b_{27} \pi^6 + a_{22} \pi^5) x^2 + b_{26} \pi^6 x + \pi$ $1$ $0$ $2500$
5.1.7.6a1.1-1.5.27a $5$ $5$ $1$ $5$ $27$ 5.1.7.6a1.1 $[\frac{51}{28}]$ $[\frac{23}{4}]$ $\langle\frac{23}{5}\rangle$ $(\frac{23}{4})$ $x^5 + b_{24} \pi^5 x^4 + (b_{28} \pi^6 + a_{23} \pi^5) x^3 + b_{27} \pi^6 x^2 + b_{26} \pi^6 x + \pi$ $1$ $0$ $2500$
5.1.7.6a1.1-1.5.28a $5$ $5$ $1$ $5$ $28$ 5.1.7.6a1.1 $[\frac{13}{7}]$ $[6]$ $\langle\frac{24}{5}\rangle$ $(6)$ $x^5 + (b_{29} \pi^6 + a_{24} \pi^5) x^4 + b_{28} \pi^6 x^3 + b_{27} \pi^6 x^2 + b_{26} \pi^6 x + c_{30} \pi^7 + \pi$ $5$ $0$ $2500$
5.1.7.6a1.1-1.5.30a $5$ $5$ $1$ $5$ $30$ 5.1.7.6a1.1 $[\frac{27}{14}]$ $[\frac{13}{2}]$ $\langle\frac{26}{5}\rangle$ $(\frac{13}{2})$ $x^5 + b_{29} \pi^6 x^4 + b_{28} \pi^6 x^3 + (b_{32} \pi^7 + b_{27} \pi^6) x^2 + (b_{31} \pi^7 + a_{26} \pi^6) x + \pi$ $1$ $0$ $12500$
5.1.7.6a1.1-1.5.31a $5$ $5$ $1$ $5$ $31$ 5.1.7.6a1.1 $[\frac{55}{28}]$ $[\frac{27}{4}]$ $\langle\frac{27}{5}\rangle$ $(\frac{27}{4})$ $x^5 + b_{29} \pi^6 x^4 + (b_{33} \pi^7 + b_{28} \pi^6) x^3 + (b_{32} \pi^7 + a_{27} \pi^6) x^2 + b_{31} \pi^7 x + \pi$ $1$ $0$ $12500$
5.1.7.6a1.1-1.5.32a $5$ $5$ $1$ $5$ $32$ 5.1.7.6a1.1 $[2]$ $[7]$ $\langle\frac{28}{5}\rangle$ $(7)$ $x^5 + (b_{34} \pi^7 + b_{29} \pi^6) x^4 + (b_{33} \pi^7 + a_{28} \pi^6) x^3 + b_{32} \pi^7 x^2 + b_{31} \pi^7 x + c_{35} \pi^8 + \pi$ $5$ $0$ $12500$
5.1.7.6a1.1-1.5.33a $5$ $5$ $1$ $5$ $33$ 5.1.7.6a1.1 $[\frac{57}{28}]$ $[\frac{29}{4}]$ $\langle\frac{29}{5}\rangle$ $(\frac{29}{4})$ $x^5 + (b_{34} \pi^7 + a_{29} \pi^6) x^4 + b_{33} \pi^7 x^3 + b_{32} \pi^7 x^2 + (b_{36} \pi^8 + b_{31} \pi^7) x + \pi$ $1$ $0$ $12500$
5.1.7.6a1.1-1.5.35a $5$ $5$ $1$ $5$ $35$ 5.1.7.6a1.1 $[\frac{59}{28}]$ $[\frac{31}{4}]$ $\langle\frac{31}{5}\rangle$ $(\frac{31}{4})$ $x^5 + b_{34} \pi^7 x^4 + (b_{38} \pi^8 + b_{33} \pi^7) x^3 + (b_{37} \pi^8 + b_{32} \pi^7) x^2 + (b_{36} \pi^8 + a_{31} \pi^7) x + \pi$ $1$ $0$ $62500$
5.1.7.6a1.1-1.5.36a $5$ $5$ $1$ $5$ $36$ 5.1.7.6a1.1 $[\frac{15}{7}]$ $[8]$ $\langle\frac{32}{5}\rangle$ $(8)$ $x^5 + (b_{39} \pi^8 + b_{34} \pi^7) x^4 + (b_{38} \pi^8 + b_{33} \pi^7) x^3 + (b_{37} \pi^8 + a_{32} \pi^7) x^2 + b_{36} \pi^8 x + c_{40} \pi^9 + \pi$ $5$ $0$ $62500$
5.1.7.6a1.1-1.5.37a $5$ $5$ $1$ $5$ $37$ 5.1.7.6a1.1 $[\frac{61}{28}]$ $[\frac{33}{4}]$ $\langle\frac{33}{5}\rangle$ $(\frac{33}{4})$ $x^5 + (b_{39} \pi^8 + b_{34} \pi^7) x^4 + (b_{38} \pi^8 + a_{33} \pi^7) x^3 + b_{37} \pi^8 x^2 + (b_{41} \pi^9 + b_{36} \pi^8) x + \pi$ $1$ $0$ $62500$
5.1.7.6a1.1-1.5.38a $5$ $5$ $1$ $5$ $38$ 5.1.7.6a1.1 $[\frac{31}{14}]$ $[\frac{17}{2}]$ $\langle\frac{34}{5}\rangle$ $(\frac{17}{2})$ $x^5 + (b_{39} \pi^8 + a_{34} \pi^7) x^4 + b_{38} \pi^8 x^3 + (b_{42} \pi^9 + b_{37} \pi^8) x^2 + (b_{41} \pi^9 + b_{36} \pi^8) x + \pi$ $1$ $0$ $62500$
5.1.7.6a1.1-1.5.39a $5$ $5$ $1$ $5$ $39$ 5.1.7.6a1.1 $[\frac{9}{4}]$ $[\frac{35}{4}]$ $\langle7\rangle$ $(\frac{35}{4})$ $x^5 + b_{39} \pi^8 x^4 + (b_{43} \pi^9 + b_{38} \pi^8) x^3 + (b_{42} \pi^9 + b_{37} \pi^8) x^2 + (b_{41} \pi^9 + b_{36} \pi^8) x + \pi$ $1$ $0$ $78125$
5.1.7.6a1.1-6.1.0a $5$ $6$ $6$ $1$ $0$ 5.1.7.6a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $6$ $0$ $1$
5.1.7.6a1.1-3.2.3a $5$ $6$ $3$ $2$ $3$ 5.1.7.6a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $6$ $0$ $1$
5.1.7.6a1.1-2.3.4a $5$ $6$ $2$ $3$ $4$ 5.1.7.6a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + d_{0} \pi$ $6$ $0$ $1$
5.1.7.6a1.1-1.6.5a $5$ $6$ $1$ $6$ $5$ 5.1.7.6a1.1 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^6 + d_{0} \pi$ $2$ $0$ $1$
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