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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.7.0.1 $x^{7} + x + 1$ $2$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + t + 1$ $x - 2$
3.7.0.1 $x^{7} + 2 x^{2} + 1$ $3$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 2 t^{2} + 1$ $x - 3$
5.7.0.1 $x^{7} + 3 x + 3$ $5$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 3 t + 3$ $x - 5$
7.7.0.1 $x^{7} + 6 x + 4$ $7$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 6 t + 4$ $x - 7$
7.7.12.1 $x^{7} + 42 x^{6} + 7$ $7$ $7$ $1$ $12$ $C_7$ (as 7T1) $[2]$ $[2]$ $t + 4$ $x^{7} + 42 x^{6} + 7$
7.7.12.2 $x^{7} + 42 x^{6} + 56$ $7$ $7$ $1$ $12$ $C_7$ (as 7T1) $[2]$ $[2]$ $t + 4$ $x^{7} + 42 x^{6} + 56$
7.7.12.3 $x^{7} + 42 x^{6} + 105$ $7$ $7$ $1$ $12$ $C_7$ (as 7T1) $[2]$ $[2]$ $t + 4$ $x^{7} + 42 x^{6} + 105$
7.7.12.4 $x^{7} + 42 x^{6} + 154$ $7$ $7$ $1$ $12$ $C_7$ (as 7T1) $[2]$ $[2]$ $t + 4$ $x^{7} + 42 x^{6} + 154$
7.7.12.5 $x^{7} + 42 x^{6} + 203$ $7$ $7$ $1$ $12$ $C_7$ (as 7T1) $[2]$ $[2]$ $t + 4$ $x^{7} + 42 x^{6} + 203$
7.7.12.6 $x^{7} + 42 x^{6} + 252$ $7$ $7$ $1$ $12$ $C_7$ (as 7T1) $[2]$ $[2]$ $t + 4$ $x^{7} + 42 x^{6} + 252$
7.7.12.7 $x^{7} + 42 x^{6} + 301$ $7$ $7$ $1$ $12$ $C_7$ (as 7T1) $[2]$ $[2]$ $t + 4$ $x^{7} + 42 x^{6} + 301$
11.7.0.1 $x^{7} + 4 x + 9$ $11$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 4 t + 9$ $x - 11$
13.7.0.1 $x^{7} + 3 x + 11$ $13$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 3 t + 11$ $x - 13$
17.7.0.1 $x^{7} + 12 x + 14$ $17$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 12 t + 14$ $x - 17$
19.7.0.1 $x^{7} + 6 x + 17$ $19$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 6 t + 17$ $x - 19$
23.7.0.1 $x^{7} + 21 x + 18$ $23$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 21 t + 18$ $x - 23$
29.7.0.1 $x^{7} + 2 x + 27$ $29$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 2 t + 27$ $x - 29$
29.7.6.1 $x^{7} + 232$ $29$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 27$ $x^{7} + 232$
29.7.6.2 $x^{7} + 29$ $29$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 27$ $x^{7} + 29$
29.7.6.3 $x^{7} + 87$ $29$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 27$ $x^{7} + 87$
29.7.6.4 $x^{7} + 174$ $29$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 27$ $x^{7} + 174$
29.7.6.5 $x^{7} + 58$ $29$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 27$ $x^{7} + 58$
29.7.6.6 $x^{7} + 319$ $29$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 27$ $x^{7} + 319$
29.7.6.7 $x^{7} + 116$ $29$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 27$ $x^{7} + 116$
31.7.0.1 $x^{7} + x + 28$ $31$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + t + 28$ $x - 31$
37.7.0.1 $x^{7} + 7 x + 35$ $37$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 7 t + 35$ $x - 37$
41.7.0.1 $x^{7} + 6 x + 35$ $41$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 6 t + 35$ $x - 41$
43.7.0.1 $x^{7} + 42 x^{2} + 7 x + 40$ $43$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 42 t^{2} + 7 t + 40$ $x - 43$
43.7.6.1 $x^{7} + 43$ $43$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 40$ $x^{7} + 43$
43.7.6.2 $x^{7} + 387$ $43$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 40$ $x^{7} + 387$
43.7.6.3 $x^{7} + 215$ $43$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 40$ $x^{7} + 215$
43.7.6.4 $x^{7} + 86$ $43$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 40$ $x^{7} + 86$
43.7.6.5 $x^{7} + 129$ $43$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 40$ $x^{7} + 129$
43.7.6.6 $x^{7} + 430$ $43$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 40$ $x^{7} + 430$
43.7.6.7 $x^{7} + 172$ $43$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 40$ $x^{7} + 172$
47.7.0.1 $x^{7} + 12 x + 42$ $47$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 12 t + 42$ $x - 47$
53.7.0.1 $x^{7} + 9 x + 51$ $53$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 9 t + 51$ $x - 53$
59.7.0.1 $x^{7} + 10 x + 57$ $59$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 10 t + 57$ $x - 59$
61.7.0.1 $x^{7} + 2 x + 59$ $61$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 2 t + 59$ $x - 61$
67.7.0.1 $x^{7} + 7 x + 65$ $67$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 7 t + 65$ $x - 67$
71.7.0.1 $x^{7} + 2 x + 64$ $71$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 2 t + 64$ $x - 71$
71.7.6.1 $x^{7} + 71$ $71$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 64$ $x^{7} + 71$
71.7.6.2 $x^{7} + 142$ $71$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 64$ $x^{7} + 142$
71.7.6.3 $x^{7} + 213$ $71$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 64$ $x^{7} + 213$
71.7.6.4 $x^{7} + 426$ $71$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 64$ $x^{7} + 426$
71.7.6.5 $x^{7} + 639$ $71$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 64$ $x^{7} + 639$
71.7.6.6 $x^{7} + 1278$ $71$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 64$ $x^{7} + 1278$
71.7.6.7 $x^{7} + 497$ $71$ $7$ $1$ $6$ $C_7$ (as 7T1) $[\ ]$ $[\ ]_{7}$ $t + 64$ $x^{7} + 497$
73.7.0.1 $x^{7} + 10 x + 68$ $73$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 10 t + 68$ $x - 73$
79.7.0.1 $x^{7} + 4 x + 76$ $79$ $1$ $7$ $0$ $C_7$ (as 7T1) $[\ ]$ $[\ ]^{7}$ $t^{7} + 4 t + 76$ $x - 79$
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