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Degree Residue characteristic Galois group Galois unramified degree Assoc. Inertia
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Results (12 matches)

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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.6.0.1 $x^{6} + 2 x^{4} + x^{2} + 2 x + 2$ $3$ $1$ $6$ $0$ $C_6$ (as 6T1) $[\ ]$ $[\ ]^{6}$ $t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ $x - 3$
3.6.3.1 $x^{6} + 18 x^{2} - 27$ $3$ $2$ $3$ $3$ $C_6$ (as 6T1) $[\ ]$ $[\ ]_{2}^{3}$ $t^{3} + 2 t + 1$ $x^{2} + 3 t$
3.6.3.2 $x^{6} + 13 x^{4} + 2 x^{3} + 31 x^{2} - 14 x + 4$ $3$ $2$ $3$ $3$ $C_6$ (as 6T1) $[\ ]$ $[\ ]_{2}^{3}$ $t^{3} + 2 t + 1$ $x^{2} + 3$
3.6.8.3 $x^{6} + 18 x^{5} + 114 x^{4} + 326 x^{3} + 570 x^{2} + 528 x + 197$ $3$ $3$ $2$ $8$ $C_6$ (as 6T1) $[2]$ $[2]^{2}$ $t^{2} + 2 t + 2$ $x^{3} + 6 x^{2} + 3$
3.6.8.4 $x^{6} + 18 x^{5} + 114 x^{4} + 344 x^{3} + 732 x^{2} + 744 x + 296$ $3$ $3$ $2$ $8$ $C_6$ (as 6T1) $[2]$ $[2]^{2}$ $t^{2} + 2 t + 2$ $x^{3} + 6 x^{2} + 12$
3.6.8.6 $x^{6} + 18 x^{5} + 114 x^{4} + 362 x^{3} + 894 x^{2} + 960 x + 557$ $3$ $3$ $2$ $8$ $C_6$ (as 6T1) $[2]$ $[2]^{2}$ $t^{2} + 2 t + 2$ $x^{3} + 6 x^{2} + 21$
3.6.9.1 $x^{6} + 3 x^{4} + 15$ $3$ $6$ $1$ $9$ $C_6$ (as 6T1) $[2]$ $[2]_{2}$ $t + 1$ $x^{6} + 3 x^{4} + 15$
3.6.9.10 $x^{6} + 6 x^{4} + 3$ $3$ $6$ $1$ $9$ $C_6$ (as 6T1) $[2]$ $[2]_{2}$ $t + 1$ $x^{6} + 6 x^{4} + 3$
3.6.9.11 $x^{6} + 6 x^{4} + 12$ $3$ $6$ $1$ $9$ $C_6$ (as 6T1) $[2]$ $[2]_{2}$ $t + 1$ $x^{6} + 6 x^{4} + 12$
3.6.9.2 $x^{6} + 3 x^{4} + 6$ $3$ $6$ $1$ $9$ $C_6$ (as 6T1) $[2]$ $[2]_{2}$ $t + 1$ $x^{6} + 3 x^{4} + 6$
3.6.9.3 $x^{6} + 3 x^{4} + 24$ $3$ $6$ $1$ $9$ $C_6$ (as 6T1) $[2]$ $[2]_{2}$ $t + 1$ $x^{6} + 3 x^{4} + 24$
3.6.9.9 $x^{6} + 6 x^{4} + 21$ $3$ $6$ $1$ $9$ $C_6$ (as 6T1) $[2]$ $[2]_{2}$ $t + 1$ $x^{6} + 6 x^{4} + 21$
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