## Results (displaying all 17 matches)

Label Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
17.12.0.1 x12 + 3x2 - 2x + 5 17 1 12 0 $C_{12}$ (as 12T1) $[\ ]^{12}$
17.12.6.1 x12 + 117912x6 - 1419857x2 + 3475809936 17 2 6 6 $C_6\times C_2$ (as 12T2) $[\ ]_{2}^{6}$
17.12.6.2 x12 - 1419857x2 + 289650828 17 2 6 6 $C_{12}$ (as 12T1) $[\ ]_{2}^{6}$
17.12.8.1 x12 - 51x9 + 867x6 - 4913x3 + 111166451 17 3 4 8 $C_3 : C_4$ (as 12T5) $[\ ]_{3}^{4}$
17.12.8.2 x12 - 4913x3 + 918731 17 3 4 8 $C_3\times (C_3 : C_4)$ (as 12T19) $[\ ]_{3}^{12}$
17.12.9.1 x12 - 34x8 - 10115x4 - 397953 17 4 3 9 $C_{12}$ (as 12T1) $[\ ]_{4}^{3}$
17.12.9.2 x12 - 34x8 + 289x4 - 44217 17 4 3 9 $C_{12}$ (as 12T1) $[\ ]_{4}^{3}$
17.12.9.3 x12 - 289x4 + 14739 17 4 3 9 $C_{12}$ (as 12T1) $[\ ]_{4}^{3}$
17.12.9.4 x12 + 153x8 + 7514x4 + 132651 17 4 3 9 $C_{12}$ (as 12T1) $[\ ]_{4}^{3}$
17.12.10.1 x12 - 170x6 + 210681 17 6 2 10 $D_6$ (as 12T3) $[\ ]_{6}^{2}$
17.12.10.2 x12 + 85x6 + 2601 17 6 2 10 $C_6\times S_3$ (as 12T18) $[\ ]_{6}^{6}$
17.12.10.3 x12 + 136x6 + 7803 17 6 2 10 $C_3 : C_4$ (as 12T5) $[\ ]_{6}^{2}$
17.12.10.4 x12 - 17x6 + 867 17 6 2 10 $C_3\times (C_3 : C_4)$ (as 12T19) $[\ ]_{6}^{6}$
17.12.11.1 x12 - 17 17 12 1 11 $S_3 \times C_4$ (as 12T11) $[\ ]_{12}^{2}$
17.12.11.2 x12 - 153 17 12 1 11 $S_3 \times C_4$ (as 12T11) $[\ ]_{12}^{2}$
17.12.11.3 x12 + 51 17 12 1 11 $S_3 \times C_4$ (as 12T11) $[\ ]_{12}^{2}$
17.12.11.4 x12 + 459 17 12 1 11 $S_3 \times C_4$ (as 12T11) $[\ ]_{12}^{2}$