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Results (6 matches)

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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
11.14.0.1 $x^{14} + 2 x^{7} + 9 x^{6} + 6 x^{5} + 4 x^{4} + 8 x^{3} + 6 x^{2} + 10 x + 2$ $11$ $1$ $14$ $0$ $C_{14}$ (as 14T1) $[\ ]$ $[\ ]^{14}$ $t^{14} + 2 t^{7} + 9 t^{6} + 6 t^{5} + 4 t^{4} + 8 t^{3} + 6 t^{2} + 10 t + 2$ $x - 11$
11.14.7.1 $x^{14} + 7086244 x^{2} - 175384539$ $11$ $2$ $7$ $7$ $C_{14}$ (as 14T1) $[\ ]$ $[\ ]_{2}^{7}$ $t^{7} + 4 t + 9$ $x^{2} + 11 t$
11.14.7.2 $x^{14} + 77 x^{12} + 2541 x^{10} + 46593 x^{8} + 18 x^{7} + 511203 x^{6} - 4158 x^{5} + 3382071 x^{4} + 76230 x^{3} + 12550015 x^{2} - 167634 x + 19370300$ $11$ $2$ $7$ $7$ $C_{14}$ (as 14T1) $[\ ]$ $[\ ]_{2}^{7}$ $t^{7} + 4 t + 9$ $x^{2} + 11$
11.14.12.1 $x^{14} + 49 x^{13} + 1043 x^{12} + 12593 x^{11} + 94409 x^{10} + 451927 x^{9} + 1369193 x^{8} + 2531313 x^{7} + 2738925 x^{6} + 1818103 x^{5} + 871157 x^{4} + 978033 x^{3} + 3155803 x^{2} + 6978181 x + 6677920$ $11$ $7$ $2$ $12$ $(C_7:C_3) \times C_2$ (as 14T5) $[\ ]$ $[\ ]_{7}^{6}$ $t^{2} + 7 t + 2$ $x^{7} + 11$
11.14.13.1 $x^{14} + 22$ $11$ $14$ $1$ $13$ $(C_7:C_3) \times C_2$ (as 14T5) $[\ ]$ $[\ ]_{14}^{3}$ $t + 9$ $x^{14} + 22$
11.14.13.2 $x^{14} + 11$ $11$ $14$ $1$ $13$ $(C_7:C_3) \times C_2$ (as 14T5) $[\ ]$ $[\ ]_{14}^{3}$ $t + 9$ $x^{14} + 11$
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