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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.12.13.1 $x^{12} + 3 x^{2} + 3$ $3$ $12$ $1$ $13$ $\SOPlus(4,2)$ (as 12T36) $[5/4]$ $[5/4, 5/4]_{4}^{2}$ $t + 1$ $x^{12} + 3 x^{2} + 3$
3.12.13.2 $x^{12} + 3 x^{3} + 6 x^{2} + 3$ $3$ $12$ $1$ $13$ $S_3^2:C_6$ (as 12T121) $[5/4]$ $[5/4, 5/4]_{4}^{6}$ $t + 1$ $x^{12} + 3 x^{3} + 6 x^{2} + 3$
3.12.13.3 $x^{12} + 3 x^{3} + 3 x^{2} + 6$ $3$ $12$ $1$ $13$ $S_3^2:C_6$ (as 12T121) $[5/4]$ $[5/4, 5/4]_{4}^{6}$ $t + 1$ $x^{12} + 3 x^{3} + 3 x^{2} + 6$
3.12.13.4 $x^{12} + 6 x^{2} + 6$ $3$ $12$ $1$ $13$ $\SOPlus(4,2)$ (as 12T36) $[5/4]$ $[5/4, 5/4]_{4}^{2}$ $t + 1$ $x^{12} + 6 x^{2} + 6$
3.12.13.5 $x^{12} + 6 x^{2} + 3$ $3$ $12$ $1$ $13$ $\SOPlus(4,2)$ (as 12T35) $[5/4]$ $[5/4, 5/4]_{4}^{2}$ $t + 1$ $x^{12} + 6 x^{2} + 3$
3.12.13.6 $x^{12} + 3 x^{2} + 6$ $3$ $12$ $1$ $13$ $\SOPlus(4,2)$ (as 12T35) $[5/4]$ $[5/4, 5/4]_{4}^{2}$ $t + 1$ $x^{12} + 3 x^{2} + 6$
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