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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
7.1.6.5a1.6-2.1.0a $7$ $2$ $2$ $1$ $0$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
7.1.6.5a1.6-1.2.1a $7$ $2$ $1$ $2$ $1$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $1$ $1$
7.1.6.5a1.6-3.1.0a $7$ $3$ $3$ $1$ $0$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $1$ $1$
7.1.6.5a1.6-1.3.2a $7$ $3$ $1$ $3$ $2$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + d_{0} \pi$ $3$ $1$ $1$
7.1.6.5a1.6-4.1.0a $7$ $4$ $4$ $1$ $0$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $4$ $0$ $1$
7.1.6.5a1.6-2.2.2a $7$ $4$ $2$ $2$ $2$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $0$ $1$
7.1.6.5a1.6-1.4.3a $7$ $4$ $1$ $4$ $3$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + d_{0} \pi$ $2$ $0$ $1$
7.1.6.5a1.6-5.1.0a $7$ $5$ $5$ $1$ $0$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $5$ $0$ $1$
7.1.6.5a1.6-1.5.4a $7$ $5$ $1$ $5$ $4$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $0$ $1$
7.1.6.5a1.6-6.1.0a $7$ $6$ $6$ $1$ $0$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $6$ $0$ $1$
7.1.6.5a1.6-3.2.3a $7$ $6$ $3$ $2$ $3$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $6$ $0$ $1$
7.1.6.5a1.6-2.3.4a $7$ $6$ $2$ $3$ $4$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + d_{0} \pi$ $6$ $0$ $1$
7.1.6.5a1.6-1.6.5a $7$ $6$ $1$ $6$ $5$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^6 + d_{0} \pi$ $6$ $0$ $1$
7.1.6.5a1.6-7.1.0a $7$ $7$ $7$ $1$ $0$ 7.1.6.5a1.6 $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $7$ $0$ $1$
7.1.6.5a1.6-1.7.7a $7$ $7$ $1$ $7$ $7$ 7.1.6.5a1.6 $[\frac{37}{36}]$ $[\frac{1}{6}]$ $\langle\frac{1}{7}\rangle$ $(\frac{1}{6})$ $x^7 + a_{1} \pi x + \pi$ $1$ $0$ $6$
7.1.6.5a1.6-1.7.8a $7$ $7$ $1$ $7$ $8$ 7.1.6.5a1.6 $[\frac{19}{18}]$ $[\frac{1}{3}]$ $\langle\frac{2}{7}\rangle$ $(\frac{1}{3})$ $x^7 + a_{2} \pi x^2 + \pi$ $1$ $0$ $6$
7.1.6.5a1.6-1.7.9a $7$ $7$ $1$ $7$ $9$ 7.1.6.5a1.6 $[\frac{13}{12}]$ $[\frac{1}{2}]$ $\langle\frac{3}{7}\rangle$ $(\frac{1}{2})$ $x^7 + a_{3} \pi x^3 + \pi$ $1$ $0$ $6$
7.1.6.5a1.6-1.7.10a $7$ $7$ $1$ $7$ $10$ 7.1.6.5a1.6 $[\frac{10}{9}]$ $[\frac{2}{3}]$ $\langle\frac{4}{7}\rangle$ $(\frac{2}{3})$ $x^7 + a_{4} \pi x^4 + \pi$ $1$ $0$ $6$
7.1.6.5a1.6-1.7.11a $7$ $7$ $1$ $7$ $11$ 7.1.6.5a1.6 $[\frac{41}{36}]$ $[\frac{5}{6}]$ $\langle\frac{5}{7}\rangle$ $(\frac{5}{6})$ $x^7 + a_{5} \pi x^5 + \pi$ $1$ $0$ $6$
7.1.6.5a1.6-1.7.12a $7$ $7$ $1$ $7$ $12$ 7.1.6.5a1.6 $[\frac{7}{6}]$ $[1]$ $\langle\frac{6}{7}\rangle$ $(1)$ $x^7 + a_{6} \pi x^6 + c_{7} \pi^2 + \pi$ $7$ $0$ $6$
7.1.6.5a1.6-1.7.14a $7$ $7$ $1$ $7$ $14$ 7.1.6.5a1.6 $[\frac{11}{9}]$ $[\frac{4}{3}]$ $\langle\frac{8}{7}\rangle$ $(\frac{4}{3})$ $x^7 + b_{9} \pi^2 x^2 + a_{8} \pi^2 x + \pi$ $1$ $0$ $42$
7.1.6.5a1.6-1.7.15a $7$ $7$ $1$ $7$ $15$ 7.1.6.5a1.6 $[\frac{5}{4}]$ $[\frac{3}{2}]$ $\langle\frac{9}{7}\rangle$ $(\frac{3}{2})$ $x^7 + b_{10} \pi^2 x^3 + a_{9} \pi^2 x^2 + \pi$ $1$ $0$ $42$
7.1.6.5a1.6-1.7.16a $7$ $7$ $1$ $7$ $16$ 7.1.6.5a1.6 $[\frac{23}{18}]$ $[\frac{5}{3}]$ $\langle\frac{10}{7}\rangle$ $(\frac{5}{3})$ $x^7 + b_{11} \pi^2 x^4 + a_{10} \pi^2 x^3 + \pi$ $1$ $0$ $42$
7.1.6.5a1.6-1.7.17a $7$ $7$ $1$ $7$ $17$ 7.1.6.5a1.6 $[\frac{47}{36}]$ $[\frac{11}{6}]$ $\langle\frac{11}{7}\rangle$ $(\frac{11}{6})$ $x^7 + b_{12} \pi^2 x^5 + a_{11} \pi^2 x^4 + \pi$ $1$ $0$ $42$
7.1.6.5a1.6-1.7.18a $7$ $7$ $1$ $7$ $18$ 7.1.6.5a1.6 $[\frac{4}{3}]$ $[2]$ $\langle\frac{12}{7}\rangle$ $(2)$ $x^7 + b_{13} \pi^2 x^6 + a_{12} \pi^2 x^5 + c_{14} \pi^3 + \pi$ $7$ $0$ $42$
7.1.6.5a1.6-1.7.19a $7$ $7$ $1$ $7$ $19$ 7.1.6.5a1.6 $[\frac{49}{36}]$ $[\frac{13}{6}]$ $\langle\frac{13}{7}\rangle$ $(\frac{13}{6})$ $x^7 + a_{13} \pi^2 x^6 + b_{15} \pi^3 x + \pi$ $1$ $0$ $42$
7.1.6.5a1.6-1.7.21a $7$ $7$ $1$ $7$ $21$ 7.1.6.5a1.6 $[\frac{17}{12}]$ $[\frac{5}{2}]$ $\langle\frac{15}{7}\rangle$ $(\frac{5}{2})$ $x^7 + b_{17} \pi^3 x^3 + b_{16} \pi^3 x^2 + a_{15} \pi^3 x + \pi$ $1$ $0$ $294$
7.1.6.5a1.6-1.7.22a $7$ $7$ $1$ $7$ $22$ 7.1.6.5a1.6 $[\frac{13}{9}]$ $[\frac{8}{3}]$ $\langle\frac{16}{7}\rangle$ $(\frac{8}{3})$ $x^7 + b_{18} \pi^3 x^4 + b_{17} \pi^3 x^3 + a_{16} \pi^3 x^2 + \pi$ $1$ $0$ $294$
7.1.6.5a1.6-1.7.23a $7$ $7$ $1$ $7$ $23$ 7.1.6.5a1.6 $[\frac{53}{36}]$ $[\frac{17}{6}]$ $\langle\frac{17}{7}\rangle$ $(\frac{17}{6})$ $x^7 + b_{19} \pi^3 x^5 + b_{18} \pi^3 x^4 + a_{17} \pi^3 x^3 + \pi$ $1$ $0$ $294$
7.1.6.5a1.6-1.7.24a $7$ $7$ $1$ $7$ $24$ 7.1.6.5a1.6 $[\frac{3}{2}]$ $[3]$ $\langle\frac{18}{7}\rangle$ $(3)$ $x^7 + b_{20} \pi^3 x^6 + b_{19} \pi^3 x^5 + a_{18} \pi^3 x^4 + c_{21} \pi^4 + \pi$ $7$ $0$ $294$
7.1.6.5a1.6-1.7.25a $7$ $7$ $1$ $7$ $25$ 7.1.6.5a1.6 $[\frac{55}{36}]$ $[\frac{19}{6}]$ $\langle\frac{19}{7}\rangle$ $(\frac{19}{6})$ $x^7 + b_{20} \pi^3 x^6 + a_{19} \pi^3 x^5 + b_{22} \pi^4 x + \pi$ $1$ $0$ $294$
7.1.6.5a1.6-1.7.26a $7$ $7$ $1$ $7$ $26$ 7.1.6.5a1.6 $[\frac{14}{9}]$ $[\frac{10}{3}]$ $\langle\frac{20}{7}\rangle$ $(\frac{10}{3})$ $x^7 + a_{20} \pi^3 x^6 + b_{23} \pi^4 x^2 + b_{22} \pi^4 x + \pi$ $1$ $0$ $294$
7.1.6.5a1.6-1.7.28a $7$ $7$ $1$ $7$ $28$ 7.1.6.5a1.6 $[\frac{29}{18}]$ $[\frac{11}{3}]$ $\langle\frac{22}{7}\rangle$ $(\frac{11}{3})$ $x^7 + b_{25} \pi^4 x^4 + b_{24} \pi^4 x^3 + b_{23} \pi^4 x^2 + a_{22} \pi^4 x + \pi$ $1$ $0$ $2058$
7.1.6.5a1.6-1.7.29a $7$ $7$ $1$ $7$ $29$ 7.1.6.5a1.6 $[\frac{59}{36}]$ $[\frac{23}{6}]$ $\langle\frac{23}{7}\rangle$ $(\frac{23}{6})$ $x^7 + b_{26} \pi^4 x^5 + b_{25} \pi^4 x^4 + b_{24} \pi^4 x^3 + a_{23} \pi^4 x^2 + \pi$ $1$ $0$ $2058$
7.1.6.5a1.6-1.7.30a $7$ $7$ $1$ $7$ $30$ 7.1.6.5a1.6 $[\frac{5}{3}]$ $[4]$ $\langle\frac{24}{7}\rangle$ $(4)$ $x^7 + b_{27} \pi^4 x^6 + b_{26} \pi^4 x^5 + b_{25} \pi^4 x^4 + a_{24} \pi^4 x^3 + c_{28} \pi^5 + \pi$ $7$ $0$ $2058$
7.1.6.5a1.6-1.7.31a $7$ $7$ $1$ $7$ $31$ 7.1.6.5a1.6 $[\frac{61}{36}]$ $[\frac{25}{6}]$ $\langle\frac{25}{7}\rangle$ $(\frac{25}{6})$ $x^7 + b_{27} \pi^4 x^6 + b_{26} \pi^4 x^5 + a_{25} \pi^4 x^4 + b_{29} \pi^5 x + \pi$ $1$ $0$ $2058$
7.1.6.5a1.6-1.7.32a $7$ $7$ $1$ $7$ $32$ 7.1.6.5a1.6 $[\frac{31}{18}]$ $[\frac{13}{3}]$ $\langle\frac{26}{7}\rangle$ $(\frac{13}{3})$ $x^7 + b_{27} \pi^4 x^6 + a_{26} \pi^4 x^5 + b_{30} \pi^5 x^2 + b_{29} \pi^5 x + \pi$ $1$ $0$ $2058$
7.1.6.5a1.6-1.7.33a $7$ $7$ $1$ $7$ $33$ 7.1.6.5a1.6 $[\frac{7}{4}]$ $[\frac{9}{2}]$ $\langle\frac{27}{7}\rangle$ $(\frac{9}{2})$ $x^7 + a_{27} \pi^4 x^6 + b_{31} \pi^5 x^3 + b_{30} \pi^5 x^2 + b_{29} \pi^5 x + \pi$ $1$ $0$ $2058$
7.1.6.5a1.6-1.7.35a $7$ $7$ $1$ $7$ $35$ 7.1.6.5a1.6 $[\frac{65}{36}]$ $[\frac{29}{6}]$ $\langle\frac{29}{7}\rangle$ $(\frac{29}{6})$ $x^7 + b_{33} \pi^5 x^5 + b_{32} \pi^5 x^4 + b_{31} \pi^5 x^3 + b_{30} \pi^5 x^2 + a_{29} \pi^5 x + \pi$ $1$ $0$ $14406$
7.1.6.5a1.6-1.7.36a $7$ $7$ $1$ $7$ $36$ 7.1.6.5a1.6 $[\frac{11}{6}]$ $[5]$ $\langle\frac{30}{7}\rangle$ $(5)$ $x^7 + b_{34} \pi^5 x^6 + b_{33} \pi^5 x^5 + b_{32} \pi^5 x^4 + b_{31} \pi^5 x^3 + a_{30} \pi^5 x^2 + c_{35} \pi^6 + \pi$ $7$ $0$ $14406$
7.1.6.5a1.6-1.7.37a $7$ $7$ $1$ $7$ $37$ 7.1.6.5a1.6 $[\frac{67}{36}]$ $[\frac{31}{6}]$ $\langle\frac{31}{7}\rangle$ $(\frac{31}{6})$ $x^7 + b_{34} \pi^5 x^6 + b_{33} \pi^5 x^5 + b_{32} \pi^5 x^4 + a_{31} \pi^5 x^3 + b_{36} \pi^6 x + \pi$ $1$ $0$ $14406$
7.1.6.5a1.6-1.7.38a $7$ $7$ $1$ $7$ $38$ 7.1.6.5a1.6 $[\frac{17}{9}]$ $[\frac{16}{3}]$ $\langle\frac{32}{7}\rangle$ $(\frac{16}{3})$ $x^7 + b_{34} \pi^5 x^6 + b_{33} \pi^5 x^5 + a_{32} \pi^5 x^4 + b_{37} \pi^6 x^2 + b_{36} \pi^6 x + \pi$ $1$ $0$ $14406$
7.1.6.5a1.6-1.7.39a $7$ $7$ $1$ $7$ $39$ 7.1.6.5a1.6 $[\frac{23}{12}]$ $[\frac{11}{2}]$ $\langle\frac{33}{7}\rangle$ $(\frac{11}{2})$ $x^7 + b_{34} \pi^5 x^6 + a_{33} \pi^5 x^5 + b_{38} \pi^6 x^3 + b_{37} \pi^6 x^2 + b_{36} \pi^6 x + \pi$ $1$ $0$ $14406$
7.1.6.5a1.6-1.7.40a $7$ $7$ $1$ $7$ $40$ 7.1.6.5a1.6 $[\frac{35}{18}]$ $[\frac{17}{3}]$ $\langle\frac{34}{7}\rangle$ $(\frac{17}{3})$ $x^7 + a_{34} \pi^5 x^6 + b_{39} \pi^6 x^4 + b_{38} \pi^6 x^3 + b_{37} \pi^6 x^2 + b_{36} \pi^6 x + \pi$ $1$ $0$ $14406$
7.1.6.5a1.6-1.7.42a $7$ $7$ $1$ $7$ $42$ 7.1.6.5a1.6 $[2]$ $[6]$ $\langle\frac{36}{7}\rangle$ $(6)$ $x^7 + b_{41} \pi^6 x^6 + b_{40} \pi^6 x^5 + b_{39} \pi^6 x^4 + b_{38} \pi^6 x^3 + b_{37} \pi^6 x^2 + a_{36} \pi^6 x + c_{42} \pi^7 + \pi$ $7$ $0$ $100842$
7.1.6.5a1.6-1.7.43a $7$ $7$ $1$ $7$ $43$ 7.1.6.5a1.6 $[\frac{73}{36}]$ $[\frac{37}{6}]$ $\langle\frac{37}{7}\rangle$ $(\frac{37}{6})$ $x^7 + b_{41} \pi^6 x^6 + b_{40} \pi^6 x^5 + b_{39} \pi^6 x^4 + b_{38} \pi^6 x^3 + a_{37} \pi^6 x^2 + b_{43} \pi^7 x + \pi$ $1$ $0$ $100842$
7.1.6.5a1.6-1.7.44a $7$ $7$ $1$ $7$ $44$ 7.1.6.5a1.6 $[\frac{37}{18}]$ $[\frac{19}{3}]$ $\langle\frac{38}{7}\rangle$ $(\frac{19}{3})$ $x^7 + b_{41} \pi^6 x^6 + b_{40} \pi^6 x^5 + b_{39} \pi^6 x^4 + a_{38} \pi^6 x^3 + b_{44} \pi^7 x^2 + b_{43} \pi^7 x + \pi$ $1$ $0$ $100842$
7.1.6.5a1.6-1.7.45a $7$ $7$ $1$ $7$ $45$ 7.1.6.5a1.6 $[\frac{25}{12}]$ $[\frac{13}{2}]$ $\langle\frac{39}{7}\rangle$ $(\frac{13}{2})$ $x^7 + b_{41} \pi^6 x^6 + b_{40} \pi^6 x^5 + a_{39} \pi^6 x^4 + b_{45} \pi^7 x^3 + b_{44} \pi^7 x^2 + b_{43} \pi^7 x + \pi$ $1$ $0$ $100842$
7.1.6.5a1.6-1.7.46a $7$ $7$ $1$ $7$ $46$ 7.1.6.5a1.6 $[\frac{19}{9}]$ $[\frac{20}{3}]$ $\langle\frac{40}{7}\rangle$ $(\frac{20}{3})$ $x^7 + b_{41} \pi^6 x^6 + a_{40} \pi^6 x^5 + b_{46} \pi^7 x^4 + b_{45} \pi^7 x^3 + b_{44} \pi^7 x^2 + b_{43} \pi^7 x + \pi$ $1$ $0$ $100842$
7.1.6.5a1.6-1.7.47a $7$ $7$ $1$ $7$ $47$ 7.1.6.5a1.6 $[\frac{77}{36}]$ $[\frac{41}{6}]$ $\langle\frac{41}{7}\rangle$ $(\frac{41}{6})$ $x^7 + a_{41} \pi^6 x^6 + b_{47} \pi^7 x^5 + b_{46} \pi^7 x^4 + b_{45} \pi^7 x^3 + b_{44} \pi^7 x^2 + b_{43} \pi^7 x + \pi$ $1$ $0$ $100842$
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