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Results (17 matches)

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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}$
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