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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.14.0.1 $x^{14} + 2 x^{9} + x^{8} + x^{7} + 2 x^{6} + x^{5} + 2 x^{3} + x^{2} + 2$ $3$ $1$ $14$ $0$ $C_{14}$ (as 14T1) $[\ ]$ $[\ ]^{14}$ $t^{14} + 2 t^{9} + t^{8} + t^{7} + 2 t^{6} + t^{5} + 2 t^{3} + t^{2} + 2$ $x - 3$
3.14.7.1 $x^{14} - 486 x^{4} - 2187$ $3$ $2$ $7$ $7$ $C_{14}$ (as 14T1) $[\ ]$ $[\ ]_{2}^{7}$ $t^{7} + 2 t^{2} + 1$ $x^{2} + 3 t$
3.14.7.2 $x^{14} + 21 x^{12} + 189 x^{10} + 4 x^{9} + 945 x^{8} - 94 x^{7} + 2835 x^{6} - 630 x^{5} + 5107 x^{4} + 630 x^{3} + 5131 x^{2} + 1242 x + 2212$ $3$ $2$ $7$ $7$ $C_{14}$ (as 14T1) $[\ ]$ $[\ ]_{2}^{7}$ $t^{7} + 2 t^{2} + 1$ $x^{2} + 3$
3.14.12.1 $x^{14} + 14 x^{13} + 98 x^{12} + 448 x^{11} + 1484 x^{10} + 3752 x^{9} + 7448 x^{8} + 11782 x^{7} + 14938 x^{6} + 15008 x^{5} + 11452 x^{4} + 6328 x^{3} + 2632 x^{2} + 896 x + 185$ $3$ $7$ $2$ $12$ $F_7$ (as 14T4) $[\ ]$ $[\ ]_{7}^{6}$ $t^{2} + 2 t + 2$ $x^{7} + 3$
3.14.13.1 $x^{14} + 6$ $3$ $14$ $1$ $13$ $F_7 \times C_2$ (as 14T7) $[\ ]$ $[\ ]_{14}^{6}$ $t + 1$ $x^{14} + 6$
3.14.13.2 $x^{14} + 3$ $3$ $14$ $1$ $13$ $F_7 \times C_2$ (as 14T7) $[\ ]$ $[\ ]_{14}^{6}$ $t + 1$ $x^{14} + 3$
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