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Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
13.14.0.1 | x14 + 4x7 + 6x5 + 11x4 + 7x3 + 10x2 + 10x + 2 | $13$ | $1$ | $14$ | $0$ | $C_{14}$ (as 14T1) | $[\ ]^{14}$ |
13.14.7.1 | x14 + 910x13 + 354991x12 + 76965980x11 + 10019422049x10 + 783716146850x9 + 34178120507901x8 + 647835779318542x7 + 444315567676253x6 + 132448262974664x5 + 22043433979203x4 + 4640995086910x3 + 109804606053970x2 + 2252387433208628x + 7052605388282809 | $13$ | $2$ | $7$ | $7$ | $C_{14}$ (as 14T1) | $[\ ]_{2}^{7}$ |
13.14.7.2 | x14 + 14480427x2 - 690233687 | $13$ | $2$ | $7$ | $7$ | $C_{14}$ (as 14T1) | $[\ ]_{2}^{7}$ |
13.14.12.1 | x14 + 84x13 + 3038x12 + 61488x11 + 756084x10 + 5714352x9 + 25377688x8 + 58198682x7 + 50756468x6 + 22895628x5 + 6802152x4 + 9898168x3 + 63376432x2 + 249556496x + 421775625 | $13$ | $7$ | $2$ | $12$ | $D_{7}$ (as 14T2) | $[\ ]_{7}^{2}$ |
13.14.12.2 | x14 - 728x7 - 11154 | $13$ | $7$ | $2$ | $12$ | $C_7 \wr C_2$ (as 14T8) | $[\ ]_{7}^{14}$ |
13.14.12.3 | x14 - 1716x7 - 91260 | $13$ | $7$ | $2$ | $12$ | $C_7 \wr C_2$ (as 14T8) | $[\ ]_{7}^{14}$ |
13.14.12.4 | x14 - 1586x7 - 198575 | $13$ | $7$ | $2$ | $12$ | $C_7 \wr C_2$ (as 14T8) | $[\ ]_{7}^{14}$ |
13.14.13.1 | x14 + 13 | $13$ | $14$ | $1$ | $13$ | $D_{14}$ (as 14T3) | $[\ ]_{14}^{2}$ |
13.14.13.2 | x14 + 26 | $13$ | $14$ | $1$ | $13$ | $D_{14}$ (as 14T3) | $[\ ]_{14}^{2}$ |