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Label Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
2.14.0.1 x14 - x5 - x3 - x + 1 2 1 14 0 $C_{14}$ (as 14T1) $ [\ ]^{14}$
2.14.12.1 x14 - 2x7 + 4 2 7 2 12 $(C_7:C_3) \times C_2$ (as 14T5) $ [\ ]_{7}^{6}$
2.14.14.1 x14 + 3x12 - 2x11 - 2x10 + 4x9 + 2x7 + 2x5 + 2x4 - 2x3 + 2x2 + 4x - 3 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.14.10 x14 + x12 + 2x11 + 2x9 + 2x6 + 2x5 + 2x4 + 2x3 + 2x2 + 1 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.14.11 x14 + x12 + 2x10 + 2x7 + 2x5 + 2x4 + 2x3 - 1 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2]^{14}$
2.14.14.12 x14 + x12 + 2x9 + 2x7 + 2x6 + 2x5 + 2x4 + 2x3 - 1 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.14.13 x14 - x12 + 2x11 + 2x10 + 2x4 + 2x3 + 1 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.14.14 x14 - x12 + 2x11 + 2x10 + 2x9 + 2x7 + 2x6 + 2x5 + 2x4 + 2x2 - 1 2 2 7 14 $C_2\times F_8$ (as 14T9) $ [2, 2, 2, 2]^{7}$
2.14.14.15 x14 + 2x13 + x12 + 4x11 - 2x10 + 2x9 + 4x8 - 2x6 + 4x5 + 4x4 + 2x3 + 4x2 + 1 2 2 7 14 $C_{14}$ (as 14T1) $ [2]^{7}$
2.14.14.16 x14 - 2x13 - 3x12 - 2x10 + 4x9 + 2x8 - 2x7 - 2x6 + 4x5 + 4x4 + 4x3 + 4x2 + 2x + 3 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2]^{14}$
2.14.14.17 x14 + x12 + 2x10 + 2x8 + 2x7 + 2x5 + 2x4 + 2x3 + 1 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2]^{14}$
2.14.14.18 x14 + 4x13 + 3x12 + 2x11 - 2x9 + 2x7 - 2x4 - 2x3 - 2x2 + 1 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.14.19 x14 + 4x13 + x12 + 4x10 + 2x9 - 2x8 - 2x7 + 4x6 - 2x5 + 4x4 - 2x3 + 2x2 + 1 2 2 7 14 $C_2^3:F_8$ (as 14T21) $ [2, 2, 2, 2, 2, 2]^{7}$
2.14.14.2 x14 + 2x13 - x12 + 2x10 + 2x9 + 2x7 + 2x + 1 2 2 7 14 $C_2\times F_8$ (as 14T9) $ [2, 2, 2]^{14}$
2.14.14.20 x14 + 4x13 - x12 - 2x11 + 2x10 + 2x9 + 2x8 + 2x7 + 2x6 + 4x4 - 2x3 + 2x2 + 2x + 1 2 2 7 14 $C_2^3:F_8$ (as 14T21) $ [2, 2, 2, 2, 2, 2]^{7}$
2.14.14.21 x14 + x12 + 4x11 - 2x9 + 2x8 + 2x7 + 4x4 + 4x3 - 2x2 - 3 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2]^{14}$
2.14.14.22 x14 + 4x13 + x12 + 4x11 - 2x10 + 2x9 - 2x8 + 4x7 + 2x6 - 2x5 - 2x4 - 2x3 - 2x2 + 4x + 1 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.14.23 x14 + x12 + 2x11 + 2x10 + 2x9 + 2x8 + 2x4 + 2x3 + 2x2 + 2x + 1 2 2 7 14 $F_8$ (as 14T6) $ [2, 2, 2]^{7}$
2.14.14.24 x14 - 3x12 + 2x11 + 2x10 + 4x8 + 4x7 + 2x6 + 2x4 + 2x2 + 2x + 3 2 2 7 14 $C_2\times F_8$ (as 14T9) $ [2, 2, 2, 2]^{7}$
2.14.14.25 x14 + 4x13 - 3x12 - 2x11 + 2x9 - 2x8 + 2x7 + 2x6 - 2x3 + 4x2 + 1 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2]^{14}$
2.14.14.26 x14 + 2x13 + x12 + 2x9 + 2x8 + 2x7 + 2x6 + 2x3 + 2x - 1 2 2 7 14 $C_2\times F_8$ (as 14T9) $ [2, 2, 2]^{14}$
2.14.14.27 x14 - x12 + 2x11 + 2x9 + 2x8 + 2x7 + 2x6 + 2x5 + 2x4 + 2x3 + 2x - 1 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.14.28 x14 + x12 + 2x11 + 2x9 + 2x8 + 2x5 + 2x4 + 2x - 1 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2]^{14}$
2.14.14.29 x14 + 2x13 - x12 + 2x7 + 2x5 + 2x3 + 2x - 1 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2]^{14}$
2.14.14.3 x14 + 2x13 + x12 + 2x10 + 2x5 - 1 2 2 7 14 $F_8$ (as 14T6) $ [2, 2, 2]^{7}$
2.14.14.30 x14 + 2x13 + 3x12 + 4x8 + 4x7 + 4x6 - 2x5 - 2x3 + 2x2 + 2x - 3 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.14.31 x14 + x12 + 2x11 + 2x10 + 2x9 + 2x5 + 2x3 + 2x2 + 1 2 2 7 14 $C_2^3:F_8$ (as 14T21) $ [2, 2, 2, 2, 2, 2]^{7}$
2.14.14.32 x14 + x12 + 4x11 - 2x10 + 2x9 - 2x7 + 4x6 - 2x2 + 2x + 3 2 2 7 14 $C_2^3:F_8$ (as 14T21) $ [2, 2, 2, 2, 2, 2]^{7}$
2.14.14.33 x14 + 4x13 + x12 + 2x11 + 4x9 + 2x7 + 2x6 - 2x5 + 2x4 + 2x3 + 2x2 + 2x - 3 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.14.34 x14 - x12 + 2x11 + 2x10 + 2x7 + 2x4 + 2x2 + 2x + 1 2 2 7 14 $C_2^3:F_8$ (as 14T21) $ [2, 2, 2, 2, 2, 2]^{7}$
2.14.14.35 x14 + x12 + 2x11 + 2x10 + 2x9 + 2x8 + 2x4 + 2x3 + 2x - 1 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.14.36 x14 - x12 + 2x10 + 2x9 + 2x7 + 2x6 + 2x5 + 2x2 + 2x + 1 2 2 7 14 $C_2^3:F_8$ (as 14T21) $ [2, 2, 2, 2, 2, 2]^{7}$
2.14.14.37 x14 + 4x13 - 3x12 - 2x11 + 2x10 - 2x9 + 4x7 + 2x6 + 2x5 + 4x3 + 4x2 - 2x - 3 2 2 7 14 $C_2^3:F_8$ (as 14T21) $ [2, 2, 2, 2, 2, 2]^{7}$
2.14.14.38 x14 + 4x13 + 3x12 - 2x11 + 2x10 - 2x8 + 4x6 - 2x5 + 4x3 - 2x2 + 2x + 1 2 2 7 14 $C_{14}$ (as 14T1) $ [2]^{7}$
2.14.14.39 x14 + 2x12 + 2x10 + 2x9 + 2x8 + 2x7 + 2x6 + 2x4 + 2x3 + 2x + 2 2 14 1 14 $C_2\times F_8:C_3$ (as 14T18) $ [8/7, 8/7, 8/7]_{7}^{6}$
2.14.14.4 x14 + 3x12 + 2x10 + 4x9 - 2x8 + 4x7 + 2x5 + 2x4 + 2x3 + 2x - 3 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.14.40 x14 + 2x9 + 2x4 + 2x2 + 2x + 2 2 14 1 14 $F_8:C_3$ (as 14T11) $ [8/7, 8/7, 8/7]_{7}^{3}$
2.14.14.5 x14 + 2x13 + x12 + 2x11 - 2x10 + 2x8 + 4x7 - 2x6 + 4x5 + 4x4 + 2x2 - 3 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.14.6 x14 - 3x12 + 4x11 - 2x10 + 4x9 - 2x8 + 4x6 - 2x5 - 2x4 + 2x2 - 2x + 3 2 2 7 14 $C_2\times F_8$ (as 14T9) $ [2, 2, 2, 2]^{7}$
2.14.14.7 x14 + 2x13 + 3x12 + 2x11 - 2x10 + 2x8 + 2x7 + 4x6 - 2x4 - 2x3 - 2x2 + 4x - 3 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.14.8 x14 + x12 + 1 2 2 7 14 $C_2\times F_8$ (as 14T9) $ [2, 2, 2, 2]^{7}$
2.14.14.9 x14 - 2x13 - x12 - 2x11 + 4x10 - 2x9 + 2x8 + 4x7 - 2x6 + 2x5 + 4x4 - 2x3 + 2x2 - 2x + 3 2 2 7 14 $C_2 \wr C_7$ (as 14T29) $ [2, 2, 2, 2, 2, 2, 2]^{7}$
2.14.16.1 x14 + 2x13 + 2x11 + 2x10 + 2x7 + 2x6 + 2x3 + 2 2 14 1 16 $C_2\times F_8:C_3$ (as 14T18) $ [10/7, 10/7, 10/7]_{7}^{6}$
2.14.16.2 x14 + 2x12 + 2x8 + 2x5 + 2x4 + 2x3 + 2x2 + 2 2 14 1 16 14T44 $ [8/7, 8/7, 8/7, 10/7, 10/7, 10/7]_{7}^{6}$
2.14.16.3 x14 + 2x10 + 2x8 + 2x7 + 2x6 + 2x5 + 2x4 + 2x3 + 2x2 + 2 2 14 1 16 14T35 $ [8/7, 8/7, 8/7, 10/7, 10/7, 10/7]_{7}^{3}$
2.14.16.4 x14 + 2x13 + 2x12 + 2x11 + 2x10 + 2x9 + 2x5 + 2x4 + 2x3 + 2 2 14 1 16 $F_8:C_3$ (as 14T11) $ [10/7, 10/7, 10/7]_{7}^{3}$
2.14.18.1 x14 + 2x13 + 2x10 + 2x8 + 2x7 + 2x5 + 2x4 + 2 2 14 1 18 $F_8:C_3$ (as 14T11) $ [12/7, 12/7, 12/7]_{7}^{3}$
2.14.18.2 x14 + 2x10 + 2x8 + 2x7 + 2x5 + 2 2 14 1 18 $F_8:C_3$ (as 14T11) $ [12/7, 12/7, 12/7]_{7}^{3}$
2.14.18.3 x14 + 2x10 + 2x9 + 2x8 + 2x7 + 2x5 + 2x4 + 2 2 14 1 18 14T35 $ [8/7, 8/7, 8/7, 12/7, 12/7, 12/7]_{7}^{3}$
2.14.18.4 x14 + 2x12 + 2x10 + 2x9 + 2x8 + 2x5 + 2x2 + 2 2 14 1 18 14T44 $ [8/7, 8/7, 8/7, 12/7, 12/7, 12/7]_{7}^{6}$
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