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Label Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
7.12.0.1 x12 + 3x2 - 2x + 3 $7$ $1$ $12$ $0$ $C_{12}$ (as 12T1) $ [\ ]^{12}$
7.12.6.1 x12 + 294x8 + 3430x6 + 21609x4 + 487403x2 + 2941225 $7$ $2$ $6$ $6$ $C_6\times C_2$ (as 12T2) $ [\ ]_{2}^{6}$
7.12.6.2 x12 + 7203x4 - 16807x2 + 588245 $7$ $2$ $6$ $6$ $C_{12}$ (as 12T1) $ [\ ]_{2}^{6}$
7.12.8.1 x12 - 63x9 + 637x6 + 6174x3 + 300125 $7$ $3$ $4$ $8$ $C_{12}$ (as 12T1) $ [\ ]_{3}^{4}$
7.12.8.2 x12 + 49x6 - 1029x3 + 12005 $7$ $3$ $4$ $8$ $C_{12}$ (as 12T1) $ [\ ]_{3}^{4}$
7.12.8.3 x12 + 14x9 + 539x6 + 343x3 + 60025 $7$ $3$ $4$ $8$ $C_{12}$ (as 12T1) $ [\ ]_{3}^{4}$
7.12.9.1 x12 - 49x4 + 686 $7$ $4$ $3$ $9$ $D_4 \times C_3$ (as 12T14) $ [\ ]_{4}^{6}$
7.12.9.2 x12 - 14x8 + 49x4 - 1372 $7$ $4$ $3$ $9$ $D_4 \times C_3$ (as 12T14) $ [\ ]_{4}^{6}$
7.12.10.1 x12 - 70x6 + 35721 $7$ $6$ $2$ $10$ $C_6\times C_2$ (as 12T2) $ [\ ]_{6}^{2}$
7.12.10.2 x12 + 35x6 + 441 $7$ $6$ $2$ $10$ $C_6\times C_2$ (as 12T2) $ [\ ]_{6}^{2}$
7.12.10.3 x12 - 49x6 + 3969 $7$ $6$ $2$ $10$ $C_6\times C_2$ (as 12T2) $ [\ ]_{6}^{2}$
7.12.10.4 x12 - 7x6 + 147 $7$ $6$ $2$ $10$ $C_{12}$ (as 12T1) $ [\ ]_{6}^{2}$
7.12.10.5 x12 + 56x6 + 1323 $7$ $6$ $2$ $10$ $C_{12}$ (as 12T1) $ [\ ]_{6}^{2}$
7.12.10.6 x12 - 217x6 + 11907 $7$ $6$ $2$ $10$ $C_{12}$ (as 12T1) $ [\ ]_{6}^{2}$
7.12.11.1 x12 + 14 $7$ $12$ $1$ $11$ $D_4 \times C_3$ (as 12T14) $ [\ ]_{12}^{2}$
7.12.11.2 x12 + 56 $7$ $12$ $1$ $11$ $D_4 \times C_3$ (as 12T14) $ [\ ]_{12}^{2}$
7.12.11.3 x12 + 224 $7$ $12$ $1$ $11$ $D_4 \times C_3$ (as 12T14) $ [\ ]_{12}^{2}$
7.12.11.4 x12 - 7 $7$ $12$ $1$ $11$ $D_4 \times C_3$ (as 12T14) $ [\ ]_{12}^{2}$
7.12.11.5 x12 - 28 $7$ $12$ $1$ $11$ $D_4 \times C_3$ (as 12T14) $ [\ ]_{12}^{2}$
7.12.11.6 x12 - 112 $7$ $12$ $1$ $11$ $D_4 \times C_3$ (as 12T14) $ [\ ]_{12}^{2}$
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