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Degree $n$ Residue characteristic $p$ Discriminant exponent $c$ Galois group
Ramification index $e$ Residue field degree $f$ Galois tame degree $t$ Galois unram. degree $u$
Num. automorphisms Inertia subgroup Indices Assoc. Inertia Jump Set
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Results (50 matches)

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Label Polynomial $p$ $f$ $e$ $c$ Galois group $u$ $t$ Visible Artin slopes Visible Swan slopes Artin slope content Swan slope content Hidden Artin slopes Hidden Swan slopes Unram. Ext. Eisen. Poly. Ind. of Insep. Assoc. Inertia Resid. Poly Jump Set
7.7.1.0a1.1 $x^{7} + 6 x + 4$ $7$ $7$ $1$ $0$ $C_7$ (as 7T1) $7$ $1$ $[\ ]$ $[\ ]$ $[\ ]^{7}$ $[\ ]^{7}$ $[\ ]$ $[\ ]$ $t^{7} + 6 t + 4$ $x - 7$ $[0]$ $[\ ]$ undefined
7.1.7.7a1.1 $x^{7} + 7 x + 7$ $7$ $1$ $7$ $7$ $F_7$ (as 7T4) $1$ $6$ $[\frac{7}{6}]$ $[\frac{1}{6}]$ $[\frac{7}{6}]_{6}$ $[\frac{1}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 7 x + 7$ $[1, 0]$ $[1]$ $z + 6$ undefined
7.1.7.7a1.2 $x^{7} + 14 x + 7$ $7$ $1$ $7$ $7$ $F_7$ (as 7T4) $1$ $6$ $[\frac{7}{6}]$ $[\frac{1}{6}]$ $[\frac{7}{6}]_{6}$ $[\frac{1}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 14 x + 7$ $[1, 0]$ $[1]$ $z + 5$ undefined
7.1.7.7a1.3 $x^{7} + 21 x + 7$ $7$ $1$ $7$ $7$ $F_7$ (as 7T4) $1$ $6$ $[\frac{7}{6}]$ $[\frac{1}{6}]$ $[\frac{7}{6}]_{6}$ $[\frac{1}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 21 x + 7$ $[1, 0]$ $[1]$ $z + 4$ undefined
7.1.7.7a1.4 $x^{7} + 28 x + 7$ $7$ $1$ $7$ $7$ $F_7$ (as 7T4) $1$ $6$ $[\frac{7}{6}]$ $[\frac{1}{6}]$ $[\frac{7}{6}]_{6}$ $[\frac{1}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 28 x + 7$ $[1, 0]$ $[1]$ $z + 3$ undefined
7.1.7.7a1.5 $x^{7} + 35 x + 7$ $7$ $1$ $7$ $7$ $F_7$ (as 7T4) $1$ $6$ $[\frac{7}{6}]$ $[\frac{1}{6}]$ $[\frac{7}{6}]_{6}$ $[\frac{1}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 35 x + 7$ $[1, 0]$ $[1]$ $z + 2$ undefined
7.1.7.7a1.6 $x^{7} + 42 x + 7$ $7$ $1$ $7$ $7$ $F_7$ (as 7T4) $1$ $6$ $[\frac{7}{6}]$ $[\frac{1}{6}]$ $[\frac{7}{6}]_{6}$ $[\frac{1}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 42 x + 7$ $[1, 0]$ $[1]$ $z + 1$ undefined
7.1.7.8a1.1 $x^{7} + 21 x^{2} + 7$ $7$ $1$ $7$ $8$ $F_7$ (as 7T4) $2$ $3$ $[\frac{4}{3}]$ $[\frac{1}{3}]$ $[\frac{4}{3}]_{3}^{2}$ $[\frac{1}{3}]_{3}^{2}$ $[\ ]^{2}_{3}$ $[\ ]^{2}_{3}$ $t + 4$ $x^{7} + 21 x^{2} + 7$ $[2, 0]$ $[2]$ $z^2 + 1$ undefined
7.1.7.8a1.2 $x^{7} + 35 x^{2} + 7$ $7$ $1$ $7$ $8$ $F_7$ (as 7T4) $2$ $3$ $[\frac{4}{3}]$ $[\frac{1}{3}]$ $[\frac{4}{3}]_{3}^{2}$ $[\frac{1}{3}]_{3}^{2}$ $[\ ]^{2}_{3}$ $[\ ]^{2}_{3}$ $t + 4$ $x^{7} + 35 x^{2} + 7$ $[2, 0]$ $[2]$ $z^2 + 4$ undefined
7.1.7.8a1.3 $x^{7} + 42 x^{2} + 7$ $7$ $1$ $7$ $8$ $F_7$ (as 7T4) $2$ $3$ $[\frac{4}{3}]$ $[\frac{1}{3}]$ $[\frac{4}{3}]_{3}^{2}$ $[\frac{1}{3}]_{3}^{2}$ $[\ ]^{2}_{3}$ $[\ ]^{2}_{3}$ $t + 4$ $x^{7} + 42 x^{2} + 7$ $[2, 0]$ $[2]$ $z^2 + 2$ undefined
7.1.7.8a2.1 $x^{7} + 7 x^{2} + 7$ $7$ $1$ $7$ $8$ $C_7:C_3$ (as 7T3) $1$ $3$ $[\frac{4}{3}]$ $[\frac{1}{3}]$ $[\frac{4}{3}]_{3}$ $[\frac{1}{3}]_{3}$ $[\ ]_{3}$ $[\ ]_{3}$ $t + 4$ $x^{7} + 7 x^{2} + 7$ $[2, 0]$ $[1]$ $z^2 + 5$ undefined
7.1.7.8a2.2 $x^{7} + 14 x^{2} + 7$ $7$ $1$ $7$ $8$ $C_7:C_3$ (as 7T3) $1$ $3$ $[\frac{4}{3}]$ $[\frac{1}{3}]$ $[\frac{4}{3}]_{3}$ $[\frac{1}{3}]_{3}$ $[\ ]_{3}$ $[\ ]_{3}$ $t + 4$ $x^{7} + 14 x^{2} + 7$ $[2, 0]$ $[1]$ $z^2 + 3$ undefined
7.1.7.8a2.3 $x^{7} + 28 x^{2} + 7$ $7$ $1$ $7$ $8$ $C_7:C_3$ (as 7T3) $1$ $3$ $[\frac{4}{3}]$ $[\frac{1}{3}]$ $[\frac{4}{3}]_{3}$ $[\frac{1}{3}]_{3}$ $[\ ]_{3}$ $[\ ]_{3}$ $t + 4$ $x^{7} + 28 x^{2} + 7$ $[2, 0]$ $[1]$ $z^2 + 6$ undefined
7.1.7.9a1.1 $x^{7} + 14 x^{3} + 7$ $7$ $1$ $7$ $9$ $D_{7}$ (as 7T2) $1$ $2$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{3}{2}]_{2}$ $[\frac{1}{2}]_{2}$ $[\ ]_{2}$ $[\ ]_{2}$ $t + 4$ $x^{7} + 14 x^{3} + 7$ $[3, 0]$ $[1]$ $z^3 + 1$ undefined
7.1.7.9a1.2 $x^{7} + 35 x^{3} + 7$ $7$ $1$ $7$ $9$ $D_{7}$ (as 7T2) $1$ $2$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{3}{2}]_{2}$ $[\frac{1}{2}]_{2}$ $[\ ]_{2}$ $[\ ]_{2}$ $t + 4$ $x^{7} + 35 x^{3} + 7$ $[3, 0]$ $[1]$ $z^3 + 6$ undefined
7.1.7.9a2.1 $x^{7} + 21 x^{3} + 7$ $7$ $1$ $7$ $9$ $F_7$ (as 7T4) $3$ $2$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{3}{2}]_{2}^{3}$ $[\frac{1}{2}]_{2}^{3}$ $[\ ]^{3}_{2}$ $[\ ]^{3}_{2}$ $t + 4$ $x^{7} + 21 x^{3} + 7$ $[3, 0]$ $[3]$ $z^3 + 5$ undefined
7.1.7.9a2.2 $x^{7} + 28 x^{3} + 7$ $7$ $1$ $7$ $9$ $F_7$ (as 7T4) $3$ $2$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{3}{2}]_{2}^{3}$ $[\frac{1}{2}]_{2}^{3}$ $[\ ]^{3}_{2}$ $[\ ]^{3}_{2}$ $t + 4$ $x^{7} + 28 x^{3} + 7$ $[3, 0]$ $[3]$ $z^3 + 2$ undefined
7.1.7.9a3.1 $x^{7} + 7 x^{3} + 7$ $7$ $1$ $7$ $9$ $F_7$ (as 7T4) $3$ $2$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{3}{2}]_{2}^{3}$ $[\frac{1}{2}]_{2}^{3}$ $[\ ]^{3}_{2}$ $[\ ]^{3}_{2}$ $t + 4$ $x^{7} + 7 x^{3} + 7$ $[3, 0]$ $[3]$ $z^3 + 4$ undefined
7.1.7.9a3.2 $x^{7} + 42 x^{3} + 7$ $7$ $1$ $7$ $9$ $F_7$ (as 7T4) $3$ $2$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{3}{2}]_{2}^{3}$ $[\frac{1}{2}]_{2}^{3}$ $[\ ]^{3}_{2}$ $[\ ]^{3}_{2}$ $t + 4$ $x^{7} + 42 x^{3} + 7$ $[3, 0]$ $[3]$ $z^3 + 3$ undefined
7.1.7.10a1.1 $x^{7} + 21 x^{4} + 7$ $7$ $1$ $7$ $10$ $F_7$ (as 7T4) $2$ $3$ $[\frac{5}{3}]$ $[\frac{2}{3}]$ $[\frac{5}{3}]_{3}^{2}$ $[\frac{2}{3}]_{3}^{2}$ $[\ ]^{2}_{3}$ $[\ ]^{2}_{3}$ $t + 4$ $x^{7} + 21 x^{4} + 7$ $[4, 0]$ $[2]$ $z^2 + 2$ undefined
7.1.7.10a1.2 $x^{7} + 35 x^{4} + 7$ $7$ $1$ $7$ $10$ $F_7$ (as 7T4) $2$ $3$ $[\frac{5}{3}]$ $[\frac{2}{3}]$ $[\frac{5}{3}]_{3}^{2}$ $[\frac{2}{3}]_{3}^{2}$ $[\ ]^{2}_{3}$ $[\ ]^{2}_{3}$ $t + 4$ $x^{7} + 35 x^{4} + 7$ $[4, 0]$ $[2]$ $z^2 + 1$ undefined
7.1.7.10a1.3 $x^{7} + 42 x^{4} + 7$ $7$ $1$ $7$ $10$ $F_7$ (as 7T4) $2$ $3$ $[\frac{5}{3}]$ $[\frac{2}{3}]$ $[\frac{5}{3}]_{3}^{2}$ $[\frac{2}{3}]_{3}^{2}$ $[\ ]^{2}_{3}$ $[\ ]^{2}_{3}$ $t + 4$ $x^{7} + 42 x^{4} + 7$ $[4, 0]$ $[2]$ $z^2 + 4$ undefined
7.1.7.10a2.1 $x^{7} + 7 x^{4} + 7$ $7$ $1$ $7$ $10$ $C_7:C_3$ (as 7T3) $1$ $3$ $[\frac{5}{3}]$ $[\frac{2}{3}]$ $[\frac{5}{3}]_{3}$ $[\frac{2}{3}]_{3}$ $[\ ]_{3}$ $[\ ]_{3}$ $t + 4$ $x^{7} + 7 x^{4} + 7$ $[4, 0]$ $[1]$ $z^2 + 3$ undefined
7.1.7.10a2.2 $x^{7} + 14 x^{4} + 7$ $7$ $1$ $7$ $10$ $C_7:C_3$ (as 7T3) $1$ $3$ $[\frac{5}{3}]$ $[\frac{2}{3}]$ $[\frac{5}{3}]_{3}$ $[\frac{2}{3}]_{3}$ $[\ ]_{3}$ $[\ ]_{3}$ $t + 4$ $x^{7} + 14 x^{4} + 7$ $[4, 0]$ $[1]$ $z^2 + 6$ undefined
7.1.7.10a2.3 $x^{7} + 28 x^{4} + 7$ $7$ $1$ $7$ $10$ $C_7:C_3$ (as 7T3) $1$ $3$ $[\frac{5}{3}]$ $[\frac{2}{3}]$ $[\frac{5}{3}]_{3}$ $[\frac{2}{3}]_{3}$ $[\ ]_{3}$ $[\ ]_{3}$ $t + 4$ $x^{7} + 28 x^{4} + 7$ $[4, 0]$ $[1]$ $z^2 + 5$ undefined
7.1.7.11a1.1 $x^{7} + 7 x^{5} + 7$ $7$ $1$ $7$ $11$ $F_7$ (as 7T4) $1$ $6$ $[\frac{11}{6}]$ $[\frac{5}{6}]$ $[\frac{11}{6}]_{6}$ $[\frac{5}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 7 x^{5} + 7$ $[5, 0]$ $[1]$ $z + 2$ undefined
7.1.7.11a1.2 $x^{7} + 14 x^{5} + 7$ $7$ $1$ $7$ $11$ $F_7$ (as 7T4) $1$ $6$ $[\frac{11}{6}]$ $[\frac{5}{6}]$ $[\frac{11}{6}]_{6}$ $[\frac{5}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 14 x^{5} + 7$ $[5, 0]$ $[1]$ $z + 4$ undefined
7.1.7.11a1.3 $x^{7} + 21 x^{5} + 7$ $7$ $1$ $7$ $11$ $F_7$ (as 7T4) $1$ $6$ $[\frac{11}{6}]$ $[\frac{5}{6}]$ $[\frac{11}{6}]_{6}$ $[\frac{5}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 21 x^{5} + 7$ $[5, 0]$ $[1]$ $z + 6$ undefined
7.1.7.11a1.4 $x^{7} + 28 x^{5} + 7$ $7$ $1$ $7$ $11$ $F_7$ (as 7T4) $1$ $6$ $[\frac{11}{6}]$ $[\frac{5}{6}]$ $[\frac{11}{6}]_{6}$ $[\frac{5}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 28 x^{5} + 7$ $[5, 0]$ $[1]$ $z + 1$ undefined
7.1.7.11a1.5 $x^{7} + 35 x^{5} + 7$ $7$ $1$ $7$ $11$ $F_7$ (as 7T4) $1$ $6$ $[\frac{11}{6}]$ $[\frac{5}{6}]$ $[\frac{11}{6}]_{6}$ $[\frac{5}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 35 x^{5} + 7$ $[5, 0]$ $[1]$ $z + 3$ undefined
7.1.7.11a1.6 $x^{7} + 42 x^{5} + 7$ $7$ $1$ $7$ $11$ $F_7$ (as 7T4) $1$ $6$ $[\frac{11}{6}]$ $[\frac{5}{6}]$ $[\frac{11}{6}]_{6}$ $[\frac{5}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 42 x^{5} + 7$ $[5, 0]$ $[1]$ $z + 5$ undefined
7.1.7.12a1.1 $x^{7} + 7 x^{6} + 7$ $7$ $1$ $7$ $12$ $D_{7}$ (as 7T2) $2$ $1$ $[2]$ $[1]$ $[2]^{2}$ $[1]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 4$ $x^{7} + 7 x^{6} + 7$ $[6, 0]$ $[2]$ $z^6 + 1$ undefined
7.1.7.12a2.1 $x^{7} + 14 x^{6} + 7$ $7$ $1$ $7$ $12$ $F_7$ (as 7T4) $6$ $1$ $[2]$ $[1]$ $[2]^{6}$ $[1]^{6}$ $[\ ]^{6}$ $[\ ]^{6}$ $t + 4$ $x^{7} + 14 x^{6} + 7$ $[6, 0]$ $[6]$ $z^6 + 2$ undefined
7.1.7.12a3.1 $x^{7} + 21 x^{6} + 7$ $7$ $1$ $7$ $12$ $C_7:C_3$ (as 7T3) $3$ $1$ $[2]$ $[1]$ $[2]^{3}$ $[1]^{3}$ $[\ ]^{3}$ $[\ ]^{3}$ $t + 4$ $x^{7} + 21 x^{6} + 7$ $[6, 0]$ $[3]$ $z^6 + 3$ undefined
7.1.7.12a4.1 $x^{7} + 28 x^{6} + 7$ $7$ $1$ $7$ $12$ $F_7$ (as 7T4) $6$ $1$ $[2]$ $[1]$ $[2]^{6}$ $[1]^{6}$ $[\ ]^{6}$ $[\ ]^{6}$ $t + 4$ $x^{7} + 28 x^{6} + 7$ $[6, 0]$ $[6]$ $z^6 + 4$ undefined
7.1.7.12a5.1 $x^{7} + 35 x^{6} + 7$ $7$ $1$ $7$ $12$ $C_7:C_3$ (as 7T3) $3$ $1$ $[2]$ $[1]$ $[2]^{3}$ $[1]^{3}$ $[\ ]^{3}$ $[\ ]^{3}$ $t + 4$ $x^{7} + 35 x^{6} + 7$ $[6, 0]$ $[3]$ $z^6 + 5$ undefined
7.1.7.12a6.1 $x^{7} + 42 x^{6} + 7$ $7$ $1$ $7$ $12$ $C_7$ (as 7T1) $1$ $1$ $[2]$ $[1]$ $[2]$ $[1]$ $[\ ]$ $[\ ]$ $t + 4$ $x^{7} + 42 x^{6} + 7$ $[6, 0]$ $[1]$ $z^6 + 6$ undefined
7.1.7.12a6.2 $x^{7} + 42 x^{6} + 56$ $7$ $1$ $7$ $12$ $C_7$ (as 7T1) $1$ $1$ $[2]$ $[1]$ $[2]$ $[1]$ $[\ ]$ $[\ ]$ $t + 4$ $x^{7} + 42 x^{6} + 56$ $[6, 0]$ $[1]$ $z^6 + 6$ undefined
7.1.7.12a6.3 $x^{7} + 42 x^{6} + 105$ $7$ $1$ $7$ $12$ $C_7$ (as 7T1) $1$ $1$ $[2]$ $[1]$ $[2]$ $[1]$ $[\ ]$ $[\ ]$ $t + 4$ $x^{7} + 42 x^{6} + 105$ $[6, 0]$ $[1]$ $z^6 + 6$ undefined
7.1.7.12a6.4 $x^{7} + 42 x^{6} + 154$ $7$ $1$ $7$ $12$ $C_7$ (as 7T1) $1$ $1$ $[2]$ $[1]$ $[2]$ $[1]$ $[\ ]$ $[\ ]$ $t + 4$ $x^{7} + 42 x^{6} + 154$ $[6, 0]$ $[1]$ $z^6 + 6$ undefined
7.1.7.12a6.5 $x^{7} + 42 x^{6} + 203$ $7$ $1$ $7$ $12$ $C_7$ (as 7T1) $1$ $1$ $[2]$ $[1]$ $[2]$ $[1]$ $[\ ]$ $[\ ]$ $t + 4$ $x^{7} + 42 x^{6} + 203$ $[6, 0]$ $[1]$ $z^6 + 6$ undefined
7.1.7.12a6.6 $x^{7} + 42 x^{6} + 252$ $7$ $1$ $7$ $12$ $C_7$ (as 7T1) $1$ $1$ $[2]$ $[1]$ $[2]$ $[1]$ $[\ ]$ $[\ ]$ $t + 4$ $x^{7} + 42 x^{6} + 252$ $[6, 0]$ $[1]$ $z^6 + 6$ undefined
7.1.7.12a6.7 $x^{7} + 42 x^{6} + 301$ $7$ $1$ $7$ $12$ $C_7$ (as 7T1) $1$ $1$ $[2]$ $[1]$ $[2]$ $[1]$ $[\ ]$ $[\ ]$ $t + 4$ $x^{7} + 42 x^{6} + 301$ $[6, 0]$ $[1]$ $z^6 + 6$ undefined
7.1.7.13a1.1 $x^{7} + 7$ $7$ $1$ $7$ $13$ $F_7$ (as 7T4) $1$ $6$ $[\frac{13}{6}]$ $[\frac{7}{6}]$ $[\frac{13}{6}]_{6}$ $[\frac{7}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 7$ $[7, 0]$ $[1]$ $z + 6$ undefined
7.1.7.13a1.2 $x^{7} + 49 x + 7$ $7$ $1$ $7$ $13$ $F_7$ (as 7T4) $1$ $6$ $[\frac{13}{6}]$ $[\frac{7}{6}]$ $[\frac{13}{6}]_{6}$ $[\frac{7}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 49 x + 7$ $[7, 0]$ $[1]$ $z + 6$ undefined
7.1.7.13a1.3 $x^{7} + 98 x + 7$ $7$ $1$ $7$ $13$ $F_7$ (as 7T4) $1$ $6$ $[\frac{13}{6}]$ $[\frac{7}{6}]$ $[\frac{13}{6}]_{6}$ $[\frac{7}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 98 x + 7$ $[7, 0]$ $[1]$ $z + 6$ undefined
7.1.7.13a1.4 $x^{7} + 147 x + 7$ $7$ $1$ $7$ $13$ $F_7$ (as 7T4) $1$ $6$ $[\frac{13}{6}]$ $[\frac{7}{6}]$ $[\frac{13}{6}]_{6}$ $[\frac{7}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 147 x + 7$ $[7, 0]$ $[1]$ $z + 6$ undefined
7.1.7.13a1.5 $x^{7} + 196 x + 7$ $7$ $1$ $7$ $13$ $F_7$ (as 7T4) $1$ $6$ $[\frac{13}{6}]$ $[\frac{7}{6}]$ $[\frac{13}{6}]_{6}$ $[\frac{7}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 196 x + 7$ $[7, 0]$ $[1]$ $z + 6$ undefined
7.1.7.13a1.6 $x^{7} + 245 x + 7$ $7$ $1$ $7$ $13$ $F_7$ (as 7T4) $1$ $6$ $[\frac{13}{6}]$ $[\frac{7}{6}]$ $[\frac{13}{6}]_{6}$ $[\frac{7}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 245 x + 7$ $[7, 0]$ $[1]$ $z + 6$ undefined
7.1.7.13a1.7 $x^{7} + 294 x + 7$ $7$ $1$ $7$ $13$ $F_7$ (as 7T4) $1$ $6$ $[\frac{13}{6}]$ $[\frac{7}{6}]$ $[\frac{13}{6}]_{6}$ $[\frac{7}{6}]_{6}$ $[\ ]_{6}$ $[\ ]_{6}$ $t + 4$ $x^{7} + 294 x + 7$ $[7, 0]$ $[1]$ $z + 6$ undefined
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