## Results (displaying all 17 matches)

Label Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
5.12.0.1 x12 - x3 - 2x + 3 5 1 12 0 $C_{12}$ (as 12T1) $[\ ]^{12}$
5.12.6.1 x12 + 500x6 - 3125x2 + 62500 5 2 6 6 $C_6\times C_2$ (as 12T2) $[\ ]_{2}^{6}$
5.12.6.2 x12 - 3125x2 + 31250 5 2 6 6 $C_{12}$ (as 12T1) $[\ ]_{2}^{6}$
5.12.8.1 x12 - 30x9 + 175x6 + 500x3 + 5000 5 3 4 8 $C_3 : C_4$ (as 12T5) $[\ ]_{3}^{4}$
5.12.8.2 x12 + 25x6 - 250x3 + 1250 5 3 4 8 $C_3\times (C_3 : C_4)$ (as 12T19) $[\ ]_{3}^{12}$
5.12.9.1 x12 - 10x8 - 375x4 - 2000 5 4 3 9 $C_{12}$ (as 12T1) $[\ ]_{4}^{3}$
5.12.9.2 x12 - 10x8 + 25x4 - 500 5 4 3 9 $C_{12}$ (as 12T1) $[\ ]_{4}^{3}$
5.12.9.3 x12 - 25x4 + 250 5 4 3 9 $C_{12}$ (as 12T1) $[\ ]_{4}^{3}$
5.12.9.4 x12 + 30x8 + 275x4 + 1000 5 4 3 9 $C_{12}$ (as 12T1) $[\ ]_{4}^{3}$
5.12.10.1 x12 + 6x11 + 27x10 + 80x9 + 195x8 + 366x7 + 571x6 + 702x5 + 1005x4 + 1140x3 + 357x2 - 138x + 44 5 6 2 10 $D_6$ (as 12T3) $[\ ]_{6}^{2}$
5.12.10.2 x12 + 15x6 + 100 5 6 2 10 $C_6\times S_3$ (as 12T18) $[\ ]_{6}^{6}$
5.12.10.3 x12 + 25x6 + 200 5 6 2 10 $C_3 : C_4$ (as 12T5) $[\ ]_{6}^{2}$
5.12.10.4 x12 - 5x6 + 50 5 6 2 10 $C_3\times (C_3 : C_4)$ (as 12T19) $[\ ]_{6}^{6}$
5.12.11.1 x12 - 5 5 12 1 11 $S_3 \times C_4$ (as 12T11) $[\ ]_{12}^{2}$
5.12.11.2 x12 - 20 5 12 1 11 $S_3 \times C_4$ (as 12T11) $[\ ]_{12}^{2}$
5.12.11.3 x12 + 10 5 12 1 11 $S_3 \times C_4$ (as 12T11) $[\ ]_{12}^{2}$
5.12.11.4 x12 + 40 5 12 1 11 $S_3 \times C_4$ (as 12T11) $[\ ]_{12}^{2}$